Subgroups — C₈₉×#62921 #36440769

Order 22784.

7092 conjugacy classes of subgroups.

The subgroup lattice has 2658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3561	C₂	1	2	yes	maximal, complemented
2	C₈₉×#3560	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3558	C₂	1	2	yes	maximal, complemented
4	C₈₉×#3554	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3552	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3547	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#3545	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3544	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3542	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3541	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3540	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3536	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
16	C₈₉×#3533	C₂	1	4	yes	maximal, complemented
17	C₈₉×#3522	C₂	1	2	yes	maximal, complemented
18	C₈₉×#3521	C₂	1	2	yes	maximal, complemented
19	C₈₉×#3520	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3520	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3514	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3514	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3513	C₂	1	2	yes	maximal, complemented
24	C₈₉×#3511	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3500	C₂	1	2	yes	maximal, complemented
26	C₈₉×#3499	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#3496	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3494	C₂	1	2	yes	maximal, complemented
29	C₈₉×#3489	C₂	1	2	yes	maximal, complemented
30	C₈₉×#3485	C₂	1	2	yes	maximal, complemented
31	C₈₉×#3482	C₂	1	1	yes	maximal, characteristic, complemented
32	C₈₉×#3475	C₂	1	1	yes	maximal, characteristic, complemented
33	D₄×#41×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
34	C₈₉×#3460	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#542×C₈₉	C₂	1	2	yes	maximal, complemented
36	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	2	yes	complemented
37	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	2	yes	complemented
38	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
39	#563×C₈₉	C₂²	1	4	yes	complemented
40	#563×C₈₉	C₂²	1	4	yes	complemented
41	#563×C₈₉	C₂²	1	4	yes	complemented
42	#563×C₈₉	C₂²	1	4	yes	complemented
43	#562×C₈₉	C₂²	1	4	yes	complemented
44	#562×C₈₉	C₂²	1	4	yes	complemented
45	#562×C₈₉	C₂²	1	4	yes	complemented
46	#562×C₈₉	C₂²	1	4	yes	complemented
47	#562×C₈₉	C₂²	1	4	yes	complemented
48	H(3,𝔽₄)×C₈₉	C₂²	1	4	yes	complemented
49	#560×C₈₉	C₂²	1	4	yes	complemented
50	#560×C₈₉	C₂²	1	4	yes	complemented
51	#559×C₈₉	C₂²	1	2	yes	complemented
52	#559×C₈₉	C₂²	1	1	yes	characteristic, complemented
53	#559×C₈₉	C₂²	1	4	yes	complemented
54	#559×C₈₉	C₂²	1	2	yes	complemented
55	Q₈²×C₈₉	C₂²	1	2	yes	complemented
56	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
57	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#556×C₈₉	C₂²	1	2	yes	complemented
59	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
60	#556×C₈₉	C₂²	1	2	yes	complemented
61	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
62	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
63	#556×C₈₉	C₂²	1	2	yes	complemented
64	#555×C₈₉	C₂²	1	1	yes	characteristic, complemented
65	#555×C₈₉	C₂²	1	4	yes	complemented
66	#555×C₈₉	C₂²	1	2	yes	complemented
67	#555×C₈₉	C₂²	1	2	yes	complemented
68	#555×C₈₉	C₂²	1	2	yes	complemented
69	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
70	#554×C₈₉	C₂²	1	2	yes	complemented
71	#554×C₈₉	C₂²	1	2	yes	complemented
72	#554×C₈₉	C₂²	1	2	yes	complemented
73	#554×C₈₉	C₂²	1	2	yes	complemented
74	#554×C₈₉	C₂²	1	4	yes	complemented
75	#554×C₈₉	C₂²	1	2	yes	complemented
76	#553×C₈₉	C₂²	1	2	yes	complemented
77	#553×C₈₉	C₂²	1	4	yes	complemented
78	#553×C₈₉	C₂²	1	4	yes	complemented
79	#553×C₈₉	C₂²	1	2	yes	complemented
80	#553×C₈₉	C₂²	1	2	yes	complemented
81	#553×C₈₉	C₂²	1	2	yes	complemented
82	#553×C₈₉	C₂²	1	4	yes	complemented
83	#553×C₈₉	C₂²	1	2	yes	complemented
84	#552×C₈₉	C₂²	1	2	yes	complemented
85	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#552×C₈₉	C₂²	1	4	yes	complemented
88	#552×C₈₉	C₂²	1	2	yes	complemented
89	#552×C₈₉	C₂²	1	2	yes	complemented
90	#552×C₈₉	C₂²	1	2	yes	complemented
91	#552×C₈₉	C₂²	1	4	yes	complemented
92	#551×C₈₉	C₂²	1	2	yes	complemented
93	#551×C₈₉	C₂²	1	2	yes	complemented
94	#551×C₈₉	C₂²	1	4	yes	complemented
95	#551×C₈₉	C₂²	1	4	yes	complemented
96	#551×C₈₉	C₂²	1	4	yes	complemented
97	#551×C₈₉	C₂²	1	4	yes	complemented
98	#551×C₈₉	C₂²	1	4	yes	complemented
99	#551×C₈₉	C₂²	1	4	yes	complemented
100	#551×C₈₉	C₂²	1	4	yes	complemented
101	#551×C₈₉	C₂²	1	4	yes	complemented
102	#551×C₈₉	C₂²	1	4	yes	complemented
103	#550×C₈₉	C₂²	1	1	yes	characteristic, complemented
104	#550×C₈₉	C₂²	1	2	yes	complemented
105	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
106	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
107	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
108	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
109	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
110	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
112	#548×C₈₉	C₂²	1	2	yes	complemented
113	#548×C₈₉	C₂²	1	2	yes	complemented
114	#548×C₈₉	C₂²	1	2	yes	complemented
115	#548×C₈₉	C₂²	1	2	yes	complemented
116	#548×C₈₉	C₂²	1	2	yes	complemented
117	#548×C₈₉	C₂²	1	2	yes	complemented
118	#548×C₈₉	C₂²	1	2	yes	complemented
119	#548×C₈₉	C₂²	1	2	yes	complemented
120	#548×C₈₉	C₂²	1	2	yes	complemented
121	#548×C₈₉	C₂²	1	2	yes	complemented
122	#547×C₈₉	C₂²	1	1	yes	characteristic
123	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#547×C₈₉	C₂²	1	2	yes	complemented
125	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
126	#547×C₈₉	C₂²	1	2	yes	complemented
127	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
128	#547×C₈₉	C₂²	1	2	yes	complemented
129	#547×C₈₉	C₂²	1	2	yes	complemented
130	#547×C₈₉	C₂²	1	4	yes	complemented
131	#547×C₈₉	C₂²	1	4	yes	complemented
132	#547×C₈₉	C₂²	1	2	yes	complemented
133	#547×C₈₉	C₂²	1	4	yes	complemented
134	#547×C₈₉	C₂²	1	4	yes	complemented
135	#547×C₈₉	C₂²	1	2	yes	complemented
136	#547×C₈₉	C₂²	1	2	yes	complemented
137	#547×C₈₉	C₂²	1	2	yes	complemented
138	#547×C₈₉	C₂²	1	4	yes	complemented
139	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
140	#546×C₈₉	C₂²	1	1	yes	characteristic
141	#546×C₈₉	C₂²	1	2	yes	complemented
142	#546×C₈₉	C₂²	1	4	yes	complemented
143	#546×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#546×C₈₉	C₂²	1	4	yes	complemented
145	#546×C₈₉	C₂²	1	2	yes	complemented
146	#546×C₈₉	C₂²	1	2	yes	complemented
147	#546×C₈₉	C₂²	1	4	yes	complemented
148	#546×C₈₉	C₂²	1	2	yes	complemented
149	#546×C₈₉	C₂²	1	2	yes	complemented
150	#546×C₈₉	C₂²	1	2	yes	complemented
151	#546×C₈₉	C₂²	1	4	yes	complemented
152	#546×C₈₉	C₂²	1	4	yes	complemented
153	#546×C₈₉	C₂²	1	4	yes	complemented
154	#546×C₈₉	C₂²	1	4	yes	complemented
155	#546×C₈₉	C₂²	1	2	yes	complemented
156	#546×C₈₉	C₂²	1	4	yes	complemented
157	#546×C₈₉	C₂²	1	4	yes	complemented
158	#546×C₈₉	C₂²	1	4	yes	complemented
159	#546×C₈₉	C₂²	1	2	yes	complemented
160	#546×C₈₉	C₂²	1	2	yes	complemented
161	#546×C₈₉	C₂²	1	2	yes	complemented
162	#546×C₈₉	C₂²	1	2	yes	complemented
163	D₄²×C₈₉	C₂²	1	1	yes	characteristic
164	D₄²×C₈₉	C₂²	1	2	yes	—
165	D₄²×C₈₉	C₂²	1	2	yes	complemented
166	D₄²×C₈₉	C₂²	1	1	yes	characteristic, complemented
167	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	#544×C₈₉	C₂²	1	2	yes	complemented
169	#544×C₈₉	C₂²	1	4	yes	complemented
170	#543×C₈₉	C₂²	1	4	yes	complemented
171	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
172	#542×C₈₉	C₂²	1	2	yes	complemented
173	#542×C₈₉	C₂²	1	2	yes	complemented
174	#542×C₈₉	C₂²	1	2	yes	complemented
175	#542×C₈₉	C₂²	1	4	yes	complemented
176	#542×C₈₉	C₂²	1	4	yes	complemented
177	#542×C₈₉	C₂²	1	2	yes	complemented
178	#542×C₈₉	C₂²	1	2	yes	complemented
179	#542×C₈₉	C₂²	1	2	yes	complemented
180	#542×C₈₉	C₂²	1	4	yes	complemented
181	#542×C₈₉	C₂²	1	2	yes	complemented
182	#542×C₈₉	C₂²	1	4	yes	complemented
183	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#542×C₈₉	C₂²	1	2	yes	complemented
185	#542×C₈₉	C₂²	1	2	yes	complemented
186	#542×C₈₉	C₂²	1	2	yes	complemented
187	#542×C₈₉	C₂²	1	2	yes	complemented
188	#542×C₈₉	C₂²	1	2	yes	complemented
189	#542×C₈₉	C₂²	1	2	yes	complemented
190	#542×C₈₉	C₂²	1	4	yes	complemented
191	#542×C₈₉	C₂²	1	4	yes	complemented
192	#542×C₈₉	C₂²	1	4	yes	complemented
193	#542×C₈₉	C₂²	1	4	yes	complemented
194	#541×C₈₉	C₂²	1	2	yes	complemented
195	#540×C₈₉	C₂²	1	1	yes	characteristic, complemented
196	#540×C₈₉	C₂²	1	1	yes	characteristic, complemented
197	#540×C₈₉	C₂²	1	2	yes	complemented
198	#540×C₈₉	C₂²	1	2	yes	complemented
199	#540×C₈₉	C₂²	1	4	yes	complemented
200	#539×C₈₉	C₂²	1	4	yes	complemented
201	#539×C₈₉	C₂²	1	4	yes	complemented
202	#539×C₈₉	C₂²	1	4	yes	complemented
203	#539×C₈₉	C₂²	1	4	yes	complemented
204	#539×C₈₉	C₂²	1	4	yes	complemented
205	#539×C₈₉	C₂²	1	4	yes	complemented
206	#538×C₈₉	C₂²	1	2	yes	complemented
207	#538×C₈₉	C₂²	1	2	yes	complemented
208	#538×C₈₉	C₂²	1	4	yes	complemented
209	#538×C₈₉	C₂²	1	4	yes	complemented
210	#538×C₈₉	C₂²	1	4	yes	complemented
211	#538×C₈₉	C₂²	1	4	yes	complemented
212	#538×C₈₉	C₂²	1	4	yes	complemented
213	#538×C₈₉	C₂²	1	4	yes	complemented
214	#538×C₈₉	C₂²	1	4	yes	complemented
215	#538×C₈₉	C₂²	1	4	yes	complemented
216	#538×C₈₉	C₂²	1	4	yes	complemented
217	#537×C₈₉	C₂²	1	1	yes	characteristic, complemented
218	#537×C₈₉	C₂²	1	4	yes	complemented
219	#537×C₈₉	C₂²	1	2	yes	complemented
220	#537×C₈₉	C₂²	1	2	yes	complemented
221	#537×C₈₉	C₂²	1	2	yes	complemented
222	#536×C₈₉	C₂²	1	2	yes	complemented
223	#536×C₈₉	C₂²	1	2	yes	complemented
224	#536×C₈₉	C₂²	1	4	yes	complemented
225	#536×C₈₉	C₂²	1	2	yes	complemented
226	#536×C₈₉	C₂²	1	4	yes	complemented
227	#536×C₈₉	C₂²	1	2	yes	complemented
228	#536×C₈₉	C₂²	1	4	yes	complemented
229	#536×C₈₉	C₂²	1	2	yes	complemented
230	#535×C₈₉	C₂²	1	1	yes	characteristic, complemented
231	#535×C₈₉	C₂²	1	1	yes	characteristic, complemented
232	#535×C₈₉	C₂²	1	2	yes	complemented
233	#535×C₈₉	C₂²	1	4	yes	complemented
234	#535×C₈₉	C₂²	1	2	yes	complemented
235	#534×C₈₉	C₂²	1	4	yes	complemented
236	#534×C₈₉	C₂²	1	4	yes	complemented
237	#534×C₈₉	C₂²	1	4	yes	complemented
238	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
239	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
240	#533×C₈₉	C₂²	1	2	yes	complemented
241	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
242	#532×C₈₉	C₂²	1	1	yes	characteristic
243	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
244	#532×C₈₉	C₂²	1	2	yes	complemented
245	#532×C₈₉	C₂²	1	2	yes	complemented
246	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
247	#532×C₈₉	C₂²	1	2	yes	complemented
248	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
249	#532×C₈₉	C₂²	1	4	yes	complemented
250	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
252	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
253	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
254	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
255	#529×C₈₉	C₂²	1	2	yes	complemented
256	#529×C₈₉	C₂²	1	2	yes	complemented
257	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
258	#529×C₈₉	C₂²	1	2	yes	complemented
259	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
260	#529×C₈₉	C₂²	1	2	yes	complemented
261	#529×C₈₉	C₂²	1	4	yes	complemented
262	#529×C₈₉	C₂²	1	2	yes	complemented
263	#529×C₈₉	C₂²	1	2	yes	complemented
264	#529×C₈₉	C₂²	1	4	yes	complemented
265	C₂×#126×C₈₉	C₂²	1	4	yes	complemented
266	C₂×#124×C₈₉	C₂²	1	4	yes	complemented
267	C₂×#124×C₈₉	C₂²	1	2	yes	complemented
268	C₂×#124×C₈₉	C₂²	1	2	yes	complemented
269	#525×C₈₉	C₂²	1	2	yes	complemented
270	#525×C₈₉	C₂²	1	2	yes	complemented
271	#525×C₈₉	C₂²	1	4	yes	complemented
272	#525×C₈₉	C₂²	1	2	yes	complemented
273	#525×C₈₉	C₂²	1	2	yes	complemented
274	#525×C₈₉	C₂²	1	2	yes	complemented
275	#525×C₈₉	C₂²	1	4	yes	complemented
276	#525×C₈₉	C₂²	1	2	yes	complemented
277	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
278	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
279	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
280	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
281	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
282	C₂×#121×C₈₉	C₂²	1	2	yes	—
283	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
284	#520×C₈₉	C₂²	1	2	yes	complemented
285	#520×C₈₉	C₂²	1	2	yes	complemented
286	#520×C₈₉	C₂²	1	2	yes	complemented
287	#518×C₈₉	C₂²	1	2	yes	complemented
288	#518×C₈₉	C₂²	1	2	yes	complemented
289	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
290	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
291	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
292	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
293	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
294	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
295	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	complemented
296	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
297	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₈₉	C₂²	1	2	yes	complemented
299	2₋¹⁺⁴×C₈₉	—	4	8	no	—
300	H(5,𝔽₂)×C₈₉	—	4	8	no	—
301	C₂×#41×C₈₉	—	4	8	no	—
302	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
303	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
304	C₂×#41×C₈₉	C₂³	1	2	yes	—
305	C₂×#41×C₈₉	C₂³	1	2	yes	—
306	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
307	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
308	C₂×#41×C₈₉	C₂³	1	2	yes	—
309	C₂×#41×C₈₉	C₂³	1	2	yes	—
310	C₂×#41×C₈₉	C₂³	1	2	yes	—
311	C₂×#41×C₈₉	C₂³	1	2	yes	—
312	C₂×#41×C₈₉	C₂³	1	4	yes	—
313	C₂×#41×C₈₉	C₂³	1	2	yes	—
314	C₂×#41×C₈₉	C₂³	1	2	yes	—
315	C₂×#41×C₈₉	C₂³	1	4	yes	—
316	C₂×#41×C₈₉	C₂³	1	4	yes	—
317	C₂×#41×C₈₉	C₂³	1	4	yes	—
318	C₂×#41×C₈₉	C₂³	1	4	yes	—
319	C₂×#41×C₈₉	C₂³	1	2	yes	—
320	C₂×#41×C₈₉	C₂³	1	4	yes	—
321	C₂×#41×C₈₉	C₂³	1	2	yes	—
322	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
323	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
324	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
325	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
326	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
327	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
328	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
330	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
331	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
333	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
334	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
335	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
336	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
337	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
338	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
339	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
340	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
341	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
342	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
343	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
344	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
345	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
346	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
347	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
348	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
349	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
350	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
351	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
352	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
353	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
354	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
355	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
356	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
357	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
358	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
359	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
360	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
361	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
362	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
363	#127×C₈₉	C₂³	1	1	yes	characteristic
364	#127×C₈₉	C₂³	1	1	yes	characteristic
365	#127×C₈₉	C₂³	1	1	yes	characteristic
366	#127×C₈₉	C₂³	1	2	yes	—
367	#127×C₈₉	C₂³	1	4	yes	—
368	#127×C₈₉	C₂³	1	2	yes	—
369	#126×C₈₉	C₂³	1	2	yes	—
370	#126×C₈₉	C₂³	1	4	yes	—
371	#126×C₈₉	C₂³	1	4	yes	—
372	#126×C₈₉	C₂³	1	4	yes	—
373	#126×C₈₉	C₂³	1	4	yes	—
374	#126×C₈₉	C₂³	1	4	yes	—
375	#126×C₈₉	C₂³	1	4	yes	—
376	#126×C₈₉	C₂³	1	4	yes	—
377	#126×C₈₉	C₂³	1	2	yes	—
378	#126×C₈₉	C₂³	1	2	yes	—
379	#126×C₈₉	C₂³	1	2	yes	—
380	#126×C₈₉	C₂³	1	2	yes	—
381	#126×C₈₉	C₂³	1	2	yes	—
382	#126×C₈₉	C₂³	1	4	yes	—
383	#126×C₈₉	C₂³	1	2	yes	—
384	#126×C₈₉	C₂³	1	4	yes	—
385	#126×C₈₉	C₂³	1	4	yes	—
386	#126×C₈₉	C₂³	1	4	yes	—
387	#126×C₈₉	C₂³	1	2	yes	—
388	#126×C₈₉	C₂³	1	2	yes	—
389	#126×C₈₉	C₂³	1	2	yes	—
390	#126×C₈₉	C₂³	1	4	yes	—
391	#126×C₈₉	C₂³	1	4	yes	—
392	#126×C₈₉	C₂³	1	4	yes	—
393	#126×C₈₉	C₂³	1	4	yes	—
394	#126×C₈₉	C₂³	1	4	yes	—
395	#126×C₈₉	C₂³	1	4	yes	—
396	#125×C₈₉	C₂³	1	1	yes	characteristic
397	#125×C₈₉	C₂³	1	1	yes	characteristic
398	#125×C₈₉	C₂³	1	2	yes	—
399	#125×C₈₉	C₂³	1	4	yes	—
400	#125×C₈₉	C₂³	1	4	yes	—
401	#125×C₈₉	C₂³	1	1	yes	characteristic
402	#125×C₈₉	C₂³	1	2	yes	—
403	#125×C₈₉	C₂³	1	2	yes	—
404	#125×C₈₉	C₂³	1	1	yes	characteristic
405	#125×C₈₉	C₂³	1	2	yes	—
406	#125×C₈₉	C₂³	1	2	yes	—
407	#125×C₈₉	C₂³	1	2	yes	—
408	#125×C₈₉	C₂³	1	2	yes	—
409	#125×C₈₉	C₂³	1	4	yes	—
410	#125×C₈₉	C₂³	1	4	yes	—
411	#125×C₈₉	C₂³	1	4	yes	—
412	#125×C₈₉	C₂³	1	4	yes	—
413	#124×C₈₉	C₂³	1	1	yes	characteristic
414	#124×C₈₉	C₂³	1	1	yes	characteristic
415	#124×C₈₉	C₂³	1	4	yes	—
416	#124×C₈₉	C₂³	1	2	yes	—
417	#124×C₈₉	C₂³	1	2	yes	—
418	#124×C₈₉	C₂³	1	2	yes	—
419	#124×C₈₉	C₂³	1	4	yes	—
420	#124×C₈₉	C₂³	1	4	yes	—
421	#124×C₈₉	C₂³	1	4	yes	—
422	#124×C₈₉	C₂³	1	2	yes	—
423	#124×C₈₉	C₂³	1	2	yes	—
424	#124×C₈₉	C₂³	1	4	yes	—
425	#124×C₈₉	C₂³	1	2	yes	—
426	#124×C₈₉	C₂³	1	4	yes	—
427	#124×C₈₉	C₂³	1	4	yes	—
428	#124×C₈₉	C₂³	1	2	yes	—
429	#124×C₈₉	C₂³	1	4	yes	—
430	#124×C₈₉	C₂³	1	4	yes	—
431	#124×C₈₉	C₂³	1	4	yes	—
432	#124×C₈₉	C₂³	1	2	yes	—
433	#124×C₈₉	C₂³	1	1	yes	characteristic
434	#124×C₈₉	C₂³	1	2	yes	—
435	#124×C₈₉	C₂³	1	1	yes	characteristic
436	#124×C₈₉	C₂³	1	4	yes	—
437	#124×C₈₉	C₂³	1	2	yes	—
438	#124×C₈₉	C₂³	1	4	yes	—
439	#124×C₈₉	C₂³	1	2	yes	—
440	#124×C₈₉	C₂³	1	2	yes	—
441	#124×C₈₉	C₂³	1	2	yes	—
442	#124×C₈₉	C₂³	1	2	yes	—
443	#124×C₈₉	C₂³	1	4	yes	—
444	#124×C₈₉	C₂³	1	2	yes	—
445	#124×C₈₉	C₂³	1	4	yes	—
446	#124×C₈₉	C₂³	1	4	yes	—
447	#124×C₈₉	C₂³	1	4	yes	—
448	#124×C₈₉	C₂³	1	4	yes	—
449	#124×C₈₉	C₂³	1	4	yes	—
450	#124×C₈₉	C₂³	1	4	yes	—
451	#124×C₈₉	C₂³	1	4	yes	—
452	#123×C₈₉	C₂³	1	4	yes	—
453	#123×C₈₉	C₂³	1	2	yes	—
454	#123×C₈₉	C₂³	1	2	yes	—
455	#123×C₈₉	C₂³	1	2	yes	—
456	#123×C₈₉	C₂³	1	4	yes	—
457	#123×C₈₉	C₂³	1	4	yes	—
458	#123×C₈₉	C₂³	1	4	yes	—
459	#123×C₈₉	C₂³	1	4	yes	—
460	#123×C₈₉	C₂³	1	4	yes	—
461	#123×C₈₉	C₂³	1	4	yes	—
462	#123×C₈₉	C₂³	1	4	yes	—
463	#123×C₈₉	C₂³	1	4	yes	—
464	#123×C₈₉	C₂³	1	4	yes	—
465	#123×C₈₉	C₂³	1	4	yes	—
466	#123×C₈₉	C₂³	1	4	yes	—
467	#123×C₈₉	C₂³	1	2	yes	—
468	#123×C₈₉	C₂³	1	4	yes	—
469	#123×C₈₉	C₂³	1	4	yes	—
470	#123×C₈₉	C₂³	1	2	yes	—
471	#123×C₈₉	C₂³	1	4	yes	—
472	#123×C₈₉	C₂³	1	4	yes	—
473	#123×C₈₉	C₂³	1	2	yes	—
474	#123×C₈₉	C₂³	1	2	yes	—
475	#123×C₈₉	C₂³	1	2	yes	—
476	#123×C₈₉	C₂³	1	4	yes	—
477	#123×C₈₉	C₂³	1	4	yes	—
478	#123×C₈₉	C₂³	1	4	yes	—
479	#123×C₈₉	C₂³	1	4	yes	—
480	#123×C₈₉	C₂³	1	2	yes	—
481	#123×C₈₉	C₂³	1	2	yes	—
482	#123×C₈₉	C₂³	1	4	yes	—
483	#123×C₈₉	C₂³	1	2	yes	—
484	#123×C₈₉	C₂³	1	2	yes	—
485	#123×C₈₉	C₂³	1	4	yes	—
486	#123×C₈₉	C₂³	1	2	yes	—
487	#123×C₈₉	C₂³	1	2	yes	—
488	#123×C₈₉	C₂³	1	2	yes	—
489	#123×C₈₉	C₂³	1	2	yes	—
490	#123×C₈₉	C₂³	1	4	yes	—
491	#123×C₈₉	C₂³	1	4	yes	—
492	#123×C₈₉	C₂³	1	4	yes	—
493	#123×C₈₉	C₂³	1	4	yes	—
494	#123×C₈₉	C₂³	1	4	yes	—
495	#123×C₈₉	C₂³	1	4	yes	—
496	#123×C₈₉	C₂³	1	4	yes	—
497	#123×C₈₉	C₂³	1	4	yes	—
498	#123×C₈₉	C₂³	1	4	yes	—
499	#123×C₈₉	C₂³	1	4	yes	—
500	#123×C₈₉	C₂³	1	4	yes	—
501	#123×C₈₉	C₂³	1	4	yes	—
502	#123×C₈₉	C₂³	1	4	yes	—
503	#123×C₈₉	C₂³	1	4	yes	—
504	#123×C₈₉	C₂³	1	4	yes	—
505	#123×C₈₉	C₂³	1	4	yes	—
506	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
507	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
508	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
509	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
510	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
511	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
512	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
513	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
514	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
515	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
516	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
517	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
518	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
519	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
520	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
521	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
522	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
523	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
524	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
525	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
526	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
527	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
528	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
529	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
530	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
531	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
532	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
533	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
534	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
535	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
536	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
537	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
538	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
539	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
540	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
541	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
542	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
543	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
544	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
545	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
546	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
547	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
548	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
549	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
550	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
551	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
552	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
553	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
554	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
555	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
556	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
557	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
558	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
559	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
560	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
561	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
562	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
563	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
564	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
565	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
566	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
567	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
568	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
569	#121×C₈₉	C₂³	1	1	yes	characteristic
570	#121×C₈₉	C₂³	1	2	yes	—
571	#121×C₈₉	C₂³	1	4	yes	—
572	#121×C₈₉	C₂³	1	2	yes	—
573	#121×C₈₉	C₂³	1	2	yes	—
574	#121×C₈₉	C₂³	1	4	yes	—
575	#121×C₈₉	C₂³	1	1	yes	characteristic
576	#121×C₈₉	C₂³	1	2	yes	—
577	#121×C₈₉	C₂³	1	2	yes	—
578	#121×C₈₉	C₂³	1	4	yes	—
579	#121×C₈₉	C₂³	1	4	yes	—
580	#121×C₈₉	C₂³	1	2	yes	—
581	#121×C₈₉	C₂³	1	1	yes	characteristic
582	#121×C₈₉	C₂³	1	1	yes	characteristic
583	#121×C₈₉	C₂³	1	2	yes	—
584	#121×C₈₉	C₂³	1	2	yes	—
585	#121×C₈₉	C₂³	1	2	yes	—
586	#121×C₈₉	C₂³	1	2	yes	—
587	#121×C₈₉	C₂³	1	2	yes	—
588	#121×C₈₉	C₂³	1	4	yes	—
589	#121×C₈₉	C₂³	1	2	yes	—
590	#121×C₈₉	C₂³	1	2	yes	—
591	#121×C₈₉	C₂³	1	2	yes	—
592	#121×C₈₉	C₂³	1	4	yes	—
593	#121×C₈₉	C₂³	1	4	yes	—
594	#121×C₈₉	C₂³	1	2	yes	—
595	#121×C₈₉	C₂³	1	2	yes	—
596	#121×C₈₉	C₂³	1	4	yes	—
597	#121×C₈₉	C₂³	1	2	yes	—
598	#121×C₈₉	C₂³	1	4	yes	—
599	#121×C₈₉	C₂³	1	1	yes	characteristic
600	#121×C₈₉	C₂³	1	2	yes	—
601	#121×C₈₉	C₂³	1	1	yes	characteristic
602	#121×C₈₉	C₂³	1	2	yes	—
603	#121×C₈₉	C₂³	1	2	yes	—
604	#121×C₈₉	C₂³	1	2	yes	—
605	#121×C₈₉	C₂³	1	4	yes	—
606	#121×C₈₉	C₂³	1	4	yes	—
607	#121×C₈₉	C₂³	1	2	yes	—
608	#121×C₈₉	C₂³	1	2	yes	—
609	#121×C₈₉	C₂³	1	1	yes	characteristic
610	#121×C₈₉	C₂³	1	4	yes	—
611	#121×C₈₉	C₂³	1	1	yes	characteristic
612	#121×C₈₉	C₂³	1	2	yes	—
613	#121×C₈₉	C₂³	1	2	yes	—
614	#121×C₈₉	C₂³	1	2	yes	—
615	#121×C₈₉	C₂³	1	2	yes	—
616	#121×C₈₉	C₂³	1	2	yes	—
617	#121×C₈₉	C₂³	1	2	yes	—
618	#121×C₈₉	C₂³	1	2	yes	—
619	#121×C₈₉	C₂³	1	4	yes	—
620	#121×C₈₉	C₂³	1	4	yes	—
621	#121×C₈₉	C₂³	1	4	yes	—
622	#121×C₈₉	C₂³	1	4	yes	—
623	#121×C₈₉	C₂³	1	4	yes	—
624	#121×C₈₉	C₂³	1	4	yes	—
625	#121×C₈₉	C₂³	1	4	yes	—
626	#121×C₈₉	C₂³	1	4	yes	—
627	#121×C₈₉	C₂³	1	4	yes	—
628	#121×C₈₉	C₂³	1	4	yes	—
629	#121×C₈₉	C₂³	1	4	yes	—
630	#121×C₈₉	C₂³	1	4	yes	—
631	#121×C₈₉	C₂³	1	4	yes	—
632	#121×C₈₉	C₂³	1	4	yes	—
633	#121×C₈₉	C₂³	1	4	yes	—
634	#120×C₈₉	C₂³	1	2	yes	—
635	#120×C₈₉	C₂³	1	2	yes	—
636	#120×C₈₉	C₂³	1	2	yes	—
637	#120×C₈₉	C₂³	1	4	yes	—
638	#120×C₈₉	C₂³	1	4	yes	—
639	#120×C₈₉	C₂³	1	4	yes	—
640	#120×C₈₉	C₂³	1	4	yes	—
641	#120×C₈₉	C₂³	1	2	yes	—
642	#120×C₈₉	C₂³	1	4	yes	—
643	#120×C₈₉	C₂³	1	4	yes	—
644	#120×C₈₉	C₂³	1	2	yes	—
645	#120×C₈₉	C₂³	1	2	yes	—
646	#120×C₈₉	C₂³	1	4	yes	—
647	#120×C₈₉	C₂³	1	4	yes	—
648	#120×C₈₉	C₂³	1	4	yes	—
649	#120×C₈₉	C₂³	1	4	yes	—
650	#120×C₈₉	C₂³	1	4	yes	—
651	#120×C₈₉	C₂³	1	4	yes	—
652	#120×C₈₉	C₂³	1	4	yes	—
653	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
654	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
655	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
656	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
657	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
658	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
659	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
660	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
661	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
662	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
663	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
664	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
665	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
666	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
667	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
668	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
669	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
670	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
671	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
672	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
673	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
674	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
675	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
676	C₄×D₄×C₈₉	C₂³	1	2	yes	—
677	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
678	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
679	C₄×D₄×C₈₉	C₂³	1	4	yes	—
680	C₄×D₄×C₈₉	C₂³	1	2	yes	—
681	C₄×D₄×C₈₉	C₂³	1	2	yes	—
682	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
683	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
684	C₄×D₄×C₈₉	C₂³	1	2	yes	—
685	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
686	C₄×D₄×C₈₉	C₂³	1	2	yes	—
687	C₄×D₄×C₈₉	C₂³	1	2	yes	—
688	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
689	C₄×D₄×C₈₉	C₂³	1	2	yes	—
690	C₄×D₄×C₈₉	C₂³	1	4	yes	—
691	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
692	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
693	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
694	C₄×D₄×C₈₉	C₂³	1	2	yes	—
695	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
696	C₄×D₄×C₈₉	C₂³	1	2	yes	—
697	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
698	C₄×D₄×C₈₉	C₂³	1	2	yes	—
699	C₄×D₄×C₈₉	C₂³	1	2	yes	—
700	C₄×D₄×C₈₉	C₂³	1	2	yes	—
701	C₄×D₄×C₈₉	C₂³	1	2	yes	—
702	C₄×D₄×C₈₉	C₂³	1	4	yes	—
703	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
704	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
705	C₄×D₄×C₈₉	C₂³	1	2	yes	—
706	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
707	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
708	C₄×D₄×C₈₉	C₂³	1	4	yes	—
709	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
710	C₄×D₄×C₈₉	C₂³	1	4	yes	—
711	C₄×D₄×C₈₉	C₂³	1	4	yes	—
712	C₄×D₄×C₈₉	C₂³	1	4	yes	—
713	C₄×D₄×C₈₉	C₂³	1	4	yes	—
714	C₄×D₄×C₈₉	C₂³	1	2	yes	—
715	C₄×D₄×C₈₉	C₂³	1	2	yes	—
716	C₄×D₄×C₈₉	C₂³	1	2	yes	—
717	C₄×D₄×C₈₉	C₂³	1	2	yes	—
718	C₄×D₄×C₈₉	C₂³	1	4	yes	—
719	C₄×D₄×C₈₉	C₂³	1	4	yes	—
720	C₄×D₄×C₈₉	C₂³	1	4	yes	—
721	C₄×D₄×C₈₉	C₂³	1	4	yes	—
722	C₄×D₄×C₈₉	C₂³	1	2	yes	—
723	C₄×D₄×C₈₉	C₂³	1	2	yes	—
724	C₄×D₄×C₈₉	C₂³	1	4	yes	—
725	C₄×D₄×C₈₉	C₂³	1	4	yes	—
726	C₄×D₄×C₈₉	C₂³	1	2	yes	—
727	C₄×D₄×C₈₉	C₂³	1	4	yes	—
728	C₄×D₄×C₈₉	C₂³	1	2	yes	—
729	C₄×D₄×C₈₉	C₂³	1	2	yes	—
730	C₄×D₄×C₈₉	C₂³	1	2	yes	—
731	C₄×D₄×C₈₉	C₂³	1	2	yes	—
732	C₄×D₄×C₈₉	C₂³	1	2	yes	—
733	C₄×D₄×C₈₉	C₂³	1	2	yes	—
734	C₄×D₄×C₈₉	C₂³	1	4	yes	—
735	C₄×D₄×C₈₉	C₂³	1	4	yes	—
736	C₄×D₄×C₈₉	C₂³	1	4	yes	—
737	C₄×D₄×C₈₉	C₂³	1	4	yes	—
738	C₄×D₄×C₈₉	C₂³	1	4	yes	—
739	C₄×D₄×C₈₉	C₂³	1	4	yes	—
740	C₄×D₄×C₈₉	C₂³	1	2	yes	—
741	C₄×D₄×C₈₉	C₂³	1	4	yes	—
742	C₄×D₄×C₈₉	C₂³	1	4	yes	—
743	C₄×D₄×C₈₉	C₂³	1	2	yes	—
744	#117×C₈₉	C₂³	1	1	yes	characteristic
745	#117×C₈₉	C₂³	1	2	yes	—
746	#117×C₈₉	C₂³	1	2	yes	—
747	#117×C₈₉	C₂³	1	2	yes	—
748	#117×C₈₉	C₂³	1	2	yes	—
749	#117×C₈₉	C₂³	1	2	yes	—
750	#117×C₈₉	C₂³	1	2	yes	—
751	#117×C₈₉	C₂³	1	2	yes	—
752	#117×C₈₉	C₂³	1	1	yes	characteristic
753	#117×C₈₉	C₂³	1	2	yes	—
754	#117×C₈₉	C₂³	1	1	yes	characteristic
755	#117×C₈₉	C₂³	1	1	yes	characteristic
756	#117×C₈₉	C₂³	1	4	yes	—
757	#117×C₈₉	C₂³	1	2	yes	—
758	#117×C₈₉	C₂³	1	1	yes	characteristic
759	#117×C₈₉	C₂³	1	2	yes	—
760	#117×C₈₉	C₂³	1	1	yes	characteristic
761	#117×C₈₉	C₂³	1	2	yes	—
762	#117×C₈₉	C₂³	1	2	yes	—
763	#117×C₈₉	C₂³	1	2	yes	—
764	#117×C₈₉	C₂³	1	2	yes	—
765	#117×C₈₉	C₂³	1	2	yes	—
766	#117×C₈₉	C₂³	1	4	yes	—
767	#117×C₈₉	C₂³	1	4	yes	—
768	#117×C₈₉	C₂³	1	4	yes	—
769	#117×C₈₉	C₂³	1	4	yes	—
770	#117×C₈₉	C₂³	1	2	yes	—
771	#117×C₈₉	C₂³	1	4	yes	—
772	#117×C₈₉	C₂³	1	4	yes	—
773	#117×C₈₉	C₂³	1	2	yes	—
774	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
775	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
776	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
777	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
778	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
779	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
780	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
781	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
782	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
783	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
784	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
785	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
786	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
787	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
788	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
789	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
790	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
791	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
792	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
793	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
794	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
795	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
796	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
797	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
798	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
799	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
800	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
801	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
802	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
803	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
804	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
805	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
806	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
807	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
808	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
809	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
810	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
811	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
812	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
813	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
814	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
815	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
816	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
817	#41×C₈₉	—	2	4	no	—
818	#41×C₈₉	—	2	8	no	—
819	#41×C₈₉	—	2	8	no	—
820	#41×C₈₉	—	2	4	no	—
821	#41×C₈₉	—	4	2	no	—
822	#41×C₈₉	—	4	4	no	—
823	#41×C₈₉	—	4	4	no	—
824	#41×C₈₉	—	4	8	no	—
825	#41×C₈₉	—	4	8	no	—
826	#41×C₈₉	—	4	8	no	—
827	#41×C₈₉	—	4	8	no	—
828	#41×C₈₉	—	4	8	no	—
829	#41×C₈₉	—	4	8	no	—
830	#41×C₈₉	—	4	4	no	—
831	#41×C₈₉	—	4	4	no	—
832	#41×C₈₉	—	4	4	no	—
833	#41×C₈₉	—	4	2	no	—
834	#41×C₈₉	—	4	4	no	—
835	#41×C₈₉	—	4	4	no	—
836	#41×C₈₉	—	4	4	no	—
837	C₂×Q₈×C₈₉	—	4	8	no	—
838	C₂×Q₈×C₈₉	—	4	4	no	—
839	C₂×Q₈×C₈₉	—	4	4	no	—
840	C₂×Q₈×C₈₉	—	4	4	no	—
841	C₂×Q₈×C₈₉	—	4	4	no	—
842	C₂×Q₈×C₈₉	—	4	4	no	—
843	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
844	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
845	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
846	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
847	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
848	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
849	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
850	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
851	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
852	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
853	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
854	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
855	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
856	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
857	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
858	C₂×D₄×C₈₉	—	2	8	no	—
859	C₂×D₄×C₈₉	—	2	4	no	—
860	C₂×D₄×C₈₉	—	4	4	no	—
861	C₂×D₄×C₈₉	—	4	4	no	—
862	C₂×D₄×C₈₉	—	4	2	no	—
863	C₂×D₄×C₈₉	—	4	4	no	—
864	C₂×D₄×C₈₉	—	4	8	no	—
865	C₂×D₄×C₈₉	—	4	8	no	—
866	C₂×D₄×C₈₉	—	4	8	no	—
867	C₂×D₄×C₈₉	—	4	8	no	—
868	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
869	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
870	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
871	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
872	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
873	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
874	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
875	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
876	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
877	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
878	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
879	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
880	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
881	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
882	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
883	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
884	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
885	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
886	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
887	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
888	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
889	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
890	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
891	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
892	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
893	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
894	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
895	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
896	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
897	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
898	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
899	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
900	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
901	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
902	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
903	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
904	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
905	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
906	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
907	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
908	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
909	C₂²×C₄×C₈₉	—	4	4	no	—
910	C₂²×C₄×C₈₉	—	4	4	no	—
911	C₂²×C₄×C₈₉	—	4	8	no	—
912	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
913	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
914	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
915	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
916	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
917	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
918	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
919	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
920	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
921	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
922	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
923	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
924	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
925	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
926	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
927	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
928	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
929	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
930	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
931	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
932	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
933	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
934	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
935	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
936	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
937	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
938	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
939	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
940	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
941	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
942	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
943	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
944	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
945	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
946	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
947	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
948	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
949	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
950	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
951	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
952	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
953	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
954	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
955	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
956	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
957	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
958	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
959	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
960	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
961	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
962	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
963	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
964	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
965	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
966	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
967	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
968	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
969	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
970	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
971	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
972	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
973	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
974	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
975	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
976	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
977	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
978	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
979	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
980	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
981	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
982	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
983	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
984	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
985	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
986	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
987	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
988	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
989	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
990	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
991	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
992	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
993	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
994	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
996	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
997	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
998	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
999	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1001	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1002	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1003	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1004	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1005	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1006	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1007	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1008	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1009	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1010	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1011	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1012	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1013	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1014	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1015	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1016	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1017	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1018	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1022	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1023	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1024	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1025	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1027	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1028	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1030	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1031	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1032	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1033	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1034	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1036	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1037	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1038	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1041	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1042	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1044	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1046	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1048	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1049	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1050	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1051	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1052	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1053	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1054	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1055	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1056	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1057	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1058	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1059	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1060	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1061	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1062	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1063	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1064	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1065	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1066	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1067	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1068	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1069	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1070	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1071	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1072	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1073	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1074	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1075	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1076	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1077	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1078	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1079	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1080	C₂²⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
1081	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1082	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1083	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1084	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1085	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1086	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1087	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
1088	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1089	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
1090	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1091	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1092	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1093	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1094	C₄²×C₈₉	C₂⁴	1	2	yes	—
1095	C₄²×C₈₉	C₂⁴	1	2	yes	—
1096	C₄²×C₈₉	C₂⁴	1	2	yes	—
1097	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1098	C₄²×C₈₉	C₂⁴	1	2	yes	—
1099	C₄²×C₈₉	C₂⁴	1	2	yes	—
1100	C₄²×C₈₉	C₂⁴	1	4	yes	—
1101	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1102	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1103	C₄²×C₈₉	C₂⁴	1	2	yes	—
1104	C₄²×C₈₉	C₂⁴	1	2	yes	—
1105	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1106	C₄²×C₈₉	C₂⁴	1	2	yes	—
1107	C₄²×C₈₉	C₂⁴	1	2	yes	—
1108	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1109	C₄²×C₈₉	C₂⁴	1	4	yes	—
1110	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
1111	C₄²×C₈₉	C₂⁴	1	4	yes	—
1112	C₄²×C₈₉	C₂⁴	1	4	yes	—
1113	C₄²×C₈₉	C₂⁴	1	4	yes	—
1114	C₄²×C₈₉	C₂⁴	1	4	yes	—
1115	C₂³×C₈₉	—	2	8	no	—
1116	C₂³×C₈₉	—	2	4	no	—
1117	C₂³×C₈₉	—	4	2	no	—
1118	C₂³×C₈₉	—	4	2	no	—
1119	C₂³×C₈₉	—	4	4	no	—
1120	C₂³×C₈₉	—	4	2	no	—
1121	C₂³×C₈₉	—	4	2	no	—
1122	C₂³×C₈₉	—	4	4	no	—
1123	C₂³×C₈₉	—	4	2	no	—
1124	C₂³×C₈₉	—	4	4	no	—
1125	C₂³×C₈₉	—	4	4	no	—
1126	C₂³×C₈₉	—	4	4	no	—
1127	C₂³×C₈₉	C₂⁵	1	2	yes	—
1128	C₂³×C₈₉	C₂⁵	1	2	yes	—
1129	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
1130	C₂³×C₈₉	C₂⁵	1	2	yes	—
1131	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
1132	C₂³×C₈₉	C₂⁵	1	4	yes	—
1133	C₂³×C₈₉	C₂⁵	1	2	yes	—
1134	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
1135	C₂³×C₈₉	C₂⁵	1	2	yes	—
1136	Q₈×C₈₉	—	2	2	no	—
1137	Q₈×C₈₉	—	2	4	no	—
1138	Q₈×C₈₉	—	2	2	no	—
1139	Q₈×C₈₉	—	2	4	no	—
1140	Q₈×C₈₉	—	2	2	no	—
1141	Q₈×C₈₉	—	2	4	no	—
1142	Q₈×C₈₉	—	4	2	no	—
1143	Q₈×C₈₉	—	4	4	no	—
1144	Q₈×C₈₉	—	4	4	no	—
1145	Q₈×C₈₉	—	4	4	no	—
1146	Q₈×C₈₉	—	4	4	no	—
1147	Q₈×C₈₉	—	4	4	no	—
1148	Q₈×C₈₉	—	4	2	no	—
1149	Q₈×C₈₉	—	4	1	no	—
1150	Q₈×C₈₉	—	4	2	no	—
1151	D₄×C₈₉	—	2	4	no	—
1152	D₄×C₈₉	—	2	8	no	—
1153	D₄×C₈₉	—	2	4	no	—
1154	D₄×C₈₉	—	2	8	no	—
1155	D₄×C₈₉	—	2	8	no	—
1156	D₄×C₈₉	—	2	4	no	—
1157	D₄×C₈₉	—	2	2	no	—
1158	D₄×C₈₉	—	2	4	no	—
1159	D₄×C₈₉	—	2	2	no	—
1160	D₄×C₈₉	—	2	4	no	—
1161	D₄×C₈₉	—	2	2	no	—
1162	D₄×C₈₉	—	2	2	no	—
1163	D₄×C₈₉	—	4	2	no	—
1164	D₄×C₈₉	—	4	4	no	—
1165	D₄×C₈₉	—	4	2	no	—
1166	D₄×C₈₉	—	4	2	no	—
1167	D₄×C₈₉	—	4	4	no	—
1168	D₄×C₈₉	—	4	4	no	—
1169	D₄×C₈₉	—	4	4	no	—
1170	D₄×C₈₉	—	4	2	no	—
1171	D₄×C₈₉	—	4	4	no	—
1172	D₄×C₈₉	—	4	4	no	—
1173	D₄×C₈₉	—	4	4	no	—
1174	D₄×C₈₉	—	4	2	no	—
1175	D₄×C₈₉	—	4	2	no	—
1176	D₄×C₈₉	—	4	2	no	—
1177	D₄×C₈₉	—	4	2	no	—
1178	D₄×C₈₉	—	4	2	no	—
1179	D₄×C₈₉	—	4	2	no	—
1180	D₄×C₈₉	—	4	4	no	—
1181	D₄×C₈₉	—	4	2	no	—
1182	D₄×C₈₉	—	4	1	no	—
1183	D₄×C₈₉	—	4	1	no	—
1184	D₄×C₈₉	—	4	1	no	—
1185	D₄×C₈₉	—	4	4	no	—
1186	D₄×C₈₉	—	4	4	no	—
1187	D₄×C₈₉	—	4	2	no	—
1188	D₄×C₈₉	—	4	2	no	—
1189	D₄×C₈₉	—	4	2	no	—
1190	D₄×C₈₉	—	4	2	no	—
1191	D₄×C₈₉	H(5,𝔽₂)	1	4	yes	—
1192	C₂×C₄×C₈₉	—	2	4	no	—
1193	C₂×C₄×C₈₉	—	2	8	no	—
1194	C₂×C₄×C₈₉	—	2	8	no	—
1195	C₂×C₄×C₈₉	—	2	4	no	—
1196	C₂×C₄×C₈₉	—	2	2	no	—
1197	C₂×C₄×C₈₉	—	2	4	no	—
1198	C₂×C₄×C₈₉	—	2	4	no	—
1199	C₂×C₄×C₈₉	—	2	2	no	—
1200	C₂×C₄×C₈₉	—	2	4	no	—
1201	C₂×C₄×C₈₉	—	2	2	no	—
1202	C₂×C₄×C₈₉	—	2	2	no	—
1203	C₂×C₄×C₈₉	—	2	4	no	—
1204	C₂×C₄×C₈₉	—	2	4	no	—
1205	C₂×C₄×C₈₉	—	2	2	no	—
1206	C₂×C₄×C₈₉	—	2	2	no	—
1207	C₂×C₄×C₈₉	—	4	2	no	—
1208	C₂×C₄×C₈₉	—	4	2	no	—
1209	C₂×C₄×C₈₉	—	4	2	no	—
1210	C₂×C₄×C₈₉	—	4	2	no	—
1211	C₂×C₄×C₈₉	—	4	4	no	—
1212	C₂×C₄×C₈₉	—	4	2	no	—
1213	C₂×C₄×C₈₉	—	4	4	no	—
1214	C₂×C₄×C₈₉	—	4	2	no	—
1215	C₂×C₄×C₈₉	—	4	4	no	—
1216	C₂×C₄×C₈₉	—	4	1	no	—
1217	C₂×C₄×C₈₉	—	4	2	no	—
1218	C₂×C₄×C₈₉	—	4	2	no	—
1219	C₂×C₄×C₈₉	—	4	1	no	—
1220	C₂×C₄×C₈₉	—	4	2	no	—
1221	C₂×C₄×C₈₉	—	4	4	no	—
1222	C₂×C₄×C₈₉	—	4	1	no	—
1223	C₂×C₄×C₈₉	—	4	4	no	—
1224	C₂×C₄×C₈₉	—	4	4	no	—
1225	C₂×C₄×C₈₉	—	4	4	no	—
1226	C₂×C₄×C₈₉	—	4	4	no	—
1227	C₂×C₄×C₈₉	—	4	4	no	—
1228	C₂×C₄×C₈₉	—	4	4	no	—
1229	C₂×C₄×C₈₉	—	4	4	no	—
1230	C₂×C₄×C₈₉	—	4	4	no	—
1231	C₂×C₄×C₈₉	—	4	2	no	—
1232	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1233	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1234	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1235	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1236	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1237	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1238	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1239	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1240	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1241	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1242	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1243	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1244	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1245	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1246	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1247	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1248	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1249	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1250	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1251	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1252	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1253	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1254	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1255	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1256	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1257	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1258	C₂²×C₈₉	—	2	2	no	—
1259	C₂²×C₈₉	—	2	2	no	—
1260	C₂²×C₈₉	—	2	1	no	—
1261	C₂²×C₈₉	—	2	2	no	—
1262	C₂²×C₈₉	—	2	2	no	—
1263	C₂²×C₈₉	—	2	1	no	—
1264	C₂²×C₈₉	—	2	2	no	—
1265	C₂²×C₈₉	—	2	1	no	—
1266	C₂²×C₈₉	—	2	4	no	—
1267	C₂²×C₈₉	—	2	2	no	—
1268	C₂²×C₈₉	—	2	1	no	—
1269	C₂²×C₈₉	—	2	2	no	—
1270	C₂²×C₈₉	—	2	1	no	—
1271	C₂²×C₈₉	—	2	1	no	—
1272	C₂²×C₈₉	—	2	2	no	—
1273	C₂²×C₈₉	—	2	4	no	—
1274	C₂²×C₈₉	—	2	2	no	—
1275	C₂²×C₈₉	—	2	2	no	—
1276	C₂²×C₈₉	—	2	1	no	—
1277	C₂²×C₈₉	—	2	1	no	—
1278	C₂²×C₈₉	—	2	1	no	—
1279	C₂²×C₈₉	—	2	4	no	—
1280	C₂²×C₈₉	—	2	2	no	—
1281	C₂²×C₈₉	—	2	2	no	—
1282	C₂²×C₈₉	—	2	2	no	—
1283	C₂²×C₈₉	—	2	2	no	—
1284	C₂²×C₈₉	—	8	4	no	—
1285	C₂²×C₈₉	—	8	8	no	—
1286	C₂²×C₈₉	—	8	4	no	—
1287	C₂²×C₈₉	—	16	4	no	—
1288	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	4	yes	—
1289	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
1290	C₄×C₈₉	—	2	1	no	—
1291	C₄×C₈₉	—	2	2	no	—
1292	C₄×C₈₉	—	2	2	no	—
1293	C₄×C₈₉	—	2	1	no	—
1294	C₄×C₈₉	—	2	1	no	—
1295	C₄×C₈₉	—	2	2	no	—
1296	C₄×C₈₉	—	2	2	no	—
1297	C₄×C₈₉	—	2	4	no	—
1298	C₄×C₈₉	—	2	4	no	—
1299	C₄×C₈₉	—	2	2	no	—
1300	C₄×C₈₉	—	2	2	no	—
1301	C₄×C₈₉	—	2	1	no	—
1302	C₄×C₈₉	—	2	1	no	—
1303	C₄×C₈₉	—	2	1	no	—
1304	C₄×C₈₉	—	2	2	no	—
1305	C₄×C₈₉	—	2	4	no	—
1306	C₄×C₈₉	—	2	2	no	—
1307	C₄×C₈₉	—	2	1	no	—
1308	C₄×C₈₉	—	2	1	no	—
1309	C₄×C₈₉	—	2	2	no	—
1310	C₄×C₈₉	—	2	1	no	—
1311	C₄×C₈₉	—	2	2	no	—
1312	C₄×C₈₉	—	2	2	no	—
1313	C₄×C₈₉	—	2	1	no	—
1314	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
1315	C₄×C₈₉	#585	1	2	yes	—
1316	#62921	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
1317	C₂×C₈₉	—	2	4	no	—
1318	C₂×C₈₉	—	4	1	no	—
1319	C₂×C₈₉	—	4	2	no	—
1320	C₂×C₈₉	—	4	1	no	—
1321	C₂×C₈₉	—	4	1	no	—
1322	C₂×C₈₉	—	4	2	no	—
1323	C₂×C₈₉	—	4	4	no	—
1324	C₂×C₈₉	—	4	2	no	—
1325	C₂×C₈₉	—	4	2	no	—
1326	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1327	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
1328	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
1329	#3561	C₂×C₈₉	1	2	yes	complemented
1330	#3560	C₂×C₈₉	1	4	yes	complemented
1331	#3558	C₂×C₈₉	1	2	yes	complemented
1332	#3554	C₂×C₈₉	1	1	yes	characteristic, complemented
1333	#3552	C₂×C₈₉	1	1	yes	characteristic, complemented
1334	#3550	C₂×C₈₉	1	1	yes	characteristic, complemented
1335	#3547	C₂×C₈₉	1	2	yes	complemented
1336	#3546	C₂×C₈₉	1	1	yes	characteristic, complemented
1337	#3545	C₂×C₈₉	1	4	yes	complemented
1338	#3544	C₂×C₈₉	1	2	yes	complemented
1339	#3542	C₂×C₈₉	1	2	yes	complemented
1340	#3541	C₂×C₈₉	1	2	yes	complemented
1341	#3540	C₂×C₈₉	1	2	yes	complemented
1342	#3536	C₂×C₈₉	1	2	yes	complemented
1343	#3535	C₂×C₈₉	1	4	yes	complemented
1344	#3533	C₂×C₈₉	1	4	yes	complemented
1345	#3522	C₂×C₈₉	1	2	yes	complemented
1346	#3521	C₂×C₈₉	1	2	yes	complemented
1347	#3520	C₂×C₈₉	1	1	yes	characteristic, complemented
1348	#3520	C₂×C₈₉	1	1	yes	characteristic, complemented
1349	#3514	C₂×C₈₉	1	1	yes	characteristic, complemented
1350	#3514	C₂×C₈₉	1	1	yes	characteristic, complemented
1351	#3513	C₂×C₈₉	1	2	yes	complemented
1352	#3511	C₂×C₈₉	1	1	yes	characteristic, complemented
1353	#3500	C₂×C₈₉	1	2	yes	complemented
1354	#3499	C₂×C₈₉	1	1	yes	characteristic, complemented
1355	#3496	C₂×C₈₉	1	1	yes	characteristic, complemented
1356	#3494	C₂×C₈₉	1	2	yes	complemented
1357	#3489	C₂×C₈₉	1	2	yes	complemented
1358	#3485	C₂×C₈₉	1	2	yes	complemented
1359	#3482	C₂×C₈₉	1	1	yes	characteristic, complemented
1360	#3475	C₂×C₈₉	1	1	yes	characteristic, complemented
1361	D₄×#41	C₂×C₈₉	1	1	yes	characteristic, complemented
1362	#3460	C₂×C₈₉	1	1	yes	characteristic, complemented
1363	C₂×#542	C₂×C₈₉	1	2	yes	complemented
1364	C₈₉	#62921	1	1	yes	characteristic, direct product factor, Sylow
1365	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	2	yes	complemented
1366	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	2	yes	complemented
1367	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
1368	#563	C₂²×C₈₉	1	4	yes	complemented
1369	#563	C₂²×C₈₉	1	4	yes	complemented
1370	#563	C₂²×C₈₉	1	4	yes	complemented
1371	#563	C₂²×C₈₉	1	4	yes	complemented
1372	#562	C₂²×C₈₉	1	4	yes	complemented
1373	#562	C₂²×C₈₉	1	4	yes	complemented
1374	#562	C₂²×C₈₉	1	4	yes	complemented
1375	#562	C₂²×C₈₉	1	4	yes	complemented
1376	#562	C₂²×C₈₉	1	4	yes	complemented
1377	H(3,𝔽₄)	C₂²×C₈₉	1	4	yes	complemented
1378	#560	C₂²×C₈₉	1	4	yes	complemented
1379	#560	C₂²×C₈₉	1	4	yes	complemented
1380	#559	C₂²×C₈₉	1	2	yes	complemented
1381	#559	C₂²×C₈₉	1	1	yes	characteristic, complemented
1382	#559	C₂²×C₈₉	1	4	yes	complemented
1383	#559	C₂²×C₈₉	1	2	yes	complemented
1384	Q₈²	C₂²×C₈₉	1	2	yes	complemented
1385	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
1386	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
1387	#556	C₂²×C₈₉	1	2	yes	complemented
1388	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
1389	#556	C₂²×C₈₉	1	2	yes	complemented
1390	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
1391	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
1392	#556	C₂²×C₈₉	1	2	yes	complemented
1393	#555	C₂²×C₈₉	1	1	yes	characteristic, complemented
1394	#555	C₂²×C₈₉	1	4	yes	complemented
1395	#555	C₂²×C₈₉	1	2	yes	complemented
1396	#555	C₂²×C₈₉	1	2	yes	complemented
1397	#555	C₂²×C₈₉	1	2	yes	complemented
1398	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
1399	#554	C₂²×C₈₉	1	2	yes	complemented
1400	#554	C₂²×C₈₉	1	2	yes	complemented
1401	#554	C₂²×C₈₉	1	2	yes	complemented
1402	#554	C₂²×C₈₉	1	2	yes	complemented
1403	#554	C₂²×C₈₉	1	4	yes	complemented
1404	#554	C₂²×C₈₉	1	2	yes	complemented
1405	#553	C₂²×C₈₉	1	2	yes	complemented
1406	#553	C₂²×C₈₉	1	4	yes	complemented
1407	#553	C₂²×C₈₉	1	4	yes	complemented
1408	#553	C₂²×C₈₉	1	2	yes	complemented
1409	#553	C₂²×C₈₉	1	2	yes	complemented
1410	#553	C₂²×C₈₉	1	2	yes	complemented
1411	#553	C₂²×C₈₉	1	4	yes	complemented
1412	#553	C₂²×C₈₉	1	2	yes	complemented
1413	#552	C₂²×C₈₉	1	2	yes	complemented
1414	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
1415	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
1416	#552	C₂²×C₈₉	1	4	yes	complemented
1417	#552	C₂²×C₈₉	1	2	yes	complemented
1418	#552	C₂²×C₈₉	1	2	yes	complemented
1419	#552	C₂²×C₈₉	1	2	yes	complemented
1420	#552	C₂²×C₈₉	1	4	yes	complemented
1421	#551	C₂²×C₈₉	1	2	yes	complemented
1422	#551	C₂²×C₈₉	1	2	yes	complemented
1423	#551	C₂²×C₈₉	1	4	yes	complemented
1424	#551	C₂²×C₈₉	1	4	yes	complemented
1425	#551	C₂²×C₈₉	1	4	yes	complemented
1426	#551	C₂²×C₈₉	1	4	yes	complemented
1427	#551	C₂²×C₈₉	1	4	yes	complemented
1428	#551	C₂²×C₈₉	1	4	yes	complemented
1429	#551	C₂²×C₈₉	1	4	yes	complemented
1430	#551	C₂²×C₈₉	1	4	yes	complemented
1431	#551	C₂²×C₈₉	1	4	yes	complemented
1432	#550	C₂²×C₈₉	1	1	yes	characteristic, complemented
1433	#550	C₂²×C₈₉	1	2	yes	complemented
1434	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1435	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1436	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1437	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1438	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1439	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1440	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1441	#548	C₂²×C₈₉	1	2	yes	complemented
1442	#548	C₂²×C₈₉	1	2	yes	complemented
1443	#548	C₂²×C₈₉	1	2	yes	complemented
1444	#548	C₂²×C₈₉	1	2	yes	complemented
1445	#548	C₂²×C₈₉	1	2	yes	complemented
1446	#548	C₂²×C₈₉	1	2	yes	complemented
1447	#548	C₂²×C₈₉	1	2	yes	complemented
1448	#548	C₂²×C₈₉	1	2	yes	complemented
1449	#548	C₂²×C₈₉	1	2	yes	complemented
1450	#548	C₂²×C₈₉	1	2	yes	complemented
1451	#547	C₂²×C₈₉	1	1	yes	characteristic
1452	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1453	#547	C₂²×C₈₉	1	2	yes	complemented
1454	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1455	#547	C₂²×C₈₉	1	2	yes	complemented
1456	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1457	#547	C₂²×C₈₉	1	2	yes	complemented
1458	#547	C₂²×C₈₉	1	2	yes	complemented
1459	#547	C₂²×C₈₉	1	4	yes	complemented
1460	#547	C₂²×C₈₉	1	4	yes	complemented
1461	#547	C₂²×C₈₉	1	2	yes	complemented
1462	#547	C₂²×C₈₉	1	4	yes	complemented
1463	#547	C₂²×C₈₉	1	4	yes	complemented
1464	#547	C₂²×C₈₉	1	2	yes	complemented
1465	#547	C₂²×C₈₉	1	2	yes	complemented
1466	#547	C₂²×C₈₉	1	2	yes	complemented
1467	#547	C₂²×C₈₉	1	4	yes	complemented
1468	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1469	#546	C₂²×C₈₉	1	1	yes	characteristic
1470	#546	C₂²×C₈₉	1	2	yes	complemented
1471	#546	C₂²×C₈₉	1	4	yes	complemented
1472	#546	C₂²×C₈₉	1	1	yes	characteristic, complemented
1473	#546	C₂²×C₈₉	1	4	yes	complemented
1474	#546	C₂²×C₈₉	1	2	yes	complemented
1475	#546	C₂²×C₈₉	1	2	yes	complemented
1476	#546	C₂²×C₈₉	1	4	yes	complemented
1477	#546	C₂²×C₈₉	1	2	yes	complemented
1478	#546	C₂²×C₈₉	1	2	yes	complemented
1479	#546	C₂²×C₈₉	1	2	yes	complemented
1480	#546	C₂²×C₈₉	1	4	yes	complemented
1481	#546	C₂²×C₈₉	1	4	yes	complemented
1482	#546	C₂²×C₈₉	1	4	yes	complemented
1483	#546	C₂²×C₈₉	1	4	yes	complemented
1484	#546	C₂²×C₈₉	1	2	yes	complemented
1485	#546	C₂²×C₈₉	1	4	yes	complemented
1486	#546	C₂²×C₈₉	1	4	yes	complemented
1487	#546	C₂²×C₈₉	1	4	yes	complemented
1488	#546	C₂²×C₈₉	1	2	yes	complemented
1489	#546	C₂²×C₈₉	1	2	yes	complemented
1490	#546	C₂²×C₈₉	1	2	yes	complemented
1491	#546	C₂²×C₈₉	1	2	yes	complemented
1492	D₄²	C₂²×C₈₉	1	1	yes	characteristic
1493	D₄²	C₂²×C₈₉	1	2	yes	—
1494	D₄²	C₂²×C₈₉	1	2	yes	complemented
1495	D₄²	C₂²×C₈₉	1	1	yes	characteristic, complemented
1496	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
1497	#544	C₂²×C₈₉	1	2	yes	complemented
1498	#544	C₂²×C₈₉	1	4	yes	complemented
1499	#543	C₂²×C₈₉	1	4	yes	complemented
1500	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
1501	#542	C₂²×C₈₉	1	2	yes	complemented
1502	#542	C₂²×C₈₉	1	2	yes	complemented
1503	#542	C₂²×C₈₉	1	2	yes	complemented
1504	#542	C₂²×C₈₉	1	4	yes	complemented
1505	#542	C₂²×C₈₉	1	4	yes	complemented
1506	#542	C₂²×C₈₉	1	2	yes	complemented
1507	#542	C₂²×C₈₉	1	2	yes	complemented
1508	#542	C₂²×C₈₉	1	2	yes	complemented
1509	#542	C₂²×C₈₉	1	4	yes	complemented
1510	#542	C₂²×C₈₉	1	2	yes	complemented
1511	#542	C₂²×C₈₉	1	4	yes	complemented
1512	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
1513	#542	C₂²×C₈₉	1	2	yes	complemented
1514	#542	C₂²×C₈₉	1	2	yes	complemented
1515	#542	C₂²×C₈₉	1	2	yes	complemented
1516	#542	C₂²×C₈₉	1	2	yes	complemented
1517	#542	C₂²×C₈₉	1	2	yes	complemented
1518	#542	C₂²×C₈₉	1	2	yes	complemented
1519	#542	C₂²×C₈₉	1	4	yes	complemented
1520	#542	C₂²×C₈₉	1	4	yes	complemented
1521	#542	C₂²×C₈₉	1	4	yes	complemented
1522	#542	C₂²×C₈₉	1	4	yes	complemented
1523	#541	C₂²×C₈₉	1	2	yes	complemented
1524	#540	C₂²×C₈₉	1	1	yes	characteristic, complemented
1525	#540	C₂²×C₈₉	1	1	yes	characteristic, complemented
1526	#540	C₂²×C₈₉	1	2	yes	complemented
1527	#540	C₂²×C₈₉	1	2	yes	complemented
1528	#540	C₂²×C₈₉	1	4	yes	complemented
1529	#539	C₂²×C₈₉	1	4	yes	complemented
1530	#539	C₂²×C₈₉	1	4	yes	complemented
1531	#539	C₂²×C₈₉	1	4	yes	complemented
1532	#539	C₂²×C₈₉	1	4	yes	complemented
1533	#539	C₂²×C₈₉	1	4	yes	complemented
1534	#539	C₂²×C₈₉	1	4	yes	complemented
1535	#538	C₂²×C₈₉	1	2	yes	complemented
1536	#538	C₂²×C₈₉	1	2	yes	complemented
1537	#538	C₂²×C₈₉	1	4	yes	complemented
1538	#538	C₂²×C₈₉	1	4	yes	complemented
1539	#538	C₂²×C₈₉	1	4	yes	complemented
1540	#538	C₂²×C₈₉	1	4	yes	complemented
1541	#538	C₂²×C₈₉	1	4	yes	complemented
1542	#538	C₂²×C₈₉	1	4	yes	complemented
1543	#538	C₂²×C₈₉	1	4	yes	complemented
1544	#538	C₂²×C₈₉	1	4	yes	complemented
1545	#538	C₂²×C₈₉	1	4	yes	complemented
1546	#537	C₂²×C₈₉	1	1	yes	characteristic, complemented
1547	#537	C₂²×C₈₉	1	4	yes	complemented
1548	#537	C₂²×C₈₉	1	2	yes	complemented
1549	#537	C₂²×C₈₉	1	2	yes	complemented
1550	#537	C₂²×C₈₉	1	2	yes	complemented
1551	#536	C₂²×C₈₉	1	2	yes	complemented
1552	#536	C₂²×C₈₉	1	2	yes	complemented
1553	#536	C₂²×C₈₉	1	4	yes	complemented
1554	#536	C₂²×C₈₉	1	2	yes	complemented
1555	#536	C₂²×C₈₉	1	4	yes	complemented
1556	#536	C₂²×C₈₉	1	2	yes	complemented
1557	#536	C₂²×C₈₉	1	4	yes	complemented
1558	#536	C₂²×C₈₉	1	2	yes	complemented
1559	#535	C₂²×C₈₉	1	1	yes	characteristic, complemented
1560	#535	C₂²×C₈₉	1	1	yes	characteristic, complemented
1561	#535	C₂²×C₈₉	1	2	yes	complemented
1562	#535	C₂²×C₈₉	1	4	yes	complemented
1563	#535	C₂²×C₈₉	1	2	yes	complemented
1564	#534	C₂²×C₈₉	1	4	yes	complemented
1565	#534	C₂²×C₈₉	1	4	yes	complemented
1566	#534	C₂²×C₈₉	1	4	yes	complemented
1567	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1568	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1569	#533	C₂²×C₈₉	1	2	yes	complemented
1570	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1571	#532	C₂²×C₈₉	1	1	yes	characteristic
1572	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1573	#532	C₂²×C₈₉	1	2	yes	complemented
1574	#532	C₂²×C₈₉	1	2	yes	complemented
1575	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1576	#532	C₂²×C₈₉	1	2	yes	complemented
1577	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1578	#532	C₂²×C₈₉	1	4	yes	complemented
1579	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1580	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1581	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1582	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1583	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1584	#529	C₂²×C₈₉	1	2	yes	complemented
1585	#529	C₂²×C₈₉	1	2	yes	complemented
1586	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1587	#529	C₂²×C₈₉	1	2	yes	complemented
1588	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1589	#529	C₂²×C₈₉	1	2	yes	complemented
1590	#529	C₂²×C₈₉	1	4	yes	complemented
1591	#529	C₂²×C₈₉	1	2	yes	complemented
1592	#529	C₂²×C₈₉	1	2	yes	complemented
1593	#529	C₂²×C₈₉	1	4	yes	complemented
1594	C₂×#126	C₂²×C₈₉	1	4	yes	complemented
1595	C₂×#124	C₂²×C₈₉	1	4	yes	complemented
1596	C₂×#124	C₂²×C₈₉	1	2	yes	complemented
1597	C₂×#124	C₂²×C₈₉	1	2	yes	complemented
1598	#525	C₂²×C₈₉	1	2	yes	complemented
1599	#525	C₂²×C₈₉	1	2	yes	complemented
1600	#525	C₂²×C₈₉	1	4	yes	complemented
1601	#525	C₂²×C₈₉	1	2	yes	complemented
1602	#525	C₂²×C₈₉	1	2	yes	complemented
1603	#525	C₂²×C₈₉	1	2	yes	complemented
1604	#525	C₂²×C₈₉	1	4	yes	complemented
1605	#525	C₂²×C₈₉	1	2	yes	complemented
1606	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
1607	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
1608	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1609	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1610	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1611	C₂×#121	C₂²×C₈₉	1	2	yes	—
1612	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
1613	#520	C₂²×C₈₉	1	2	yes	complemented
1614	#520	C₂²×C₈₉	1	2	yes	complemented
1615	#520	C₂²×C₈₉	1	2	yes	complemented
1616	#518	C₂²×C₈₉	1	2	yes	complemented
1617	#518	C₂²×C₈₉	1	2	yes	complemented
1618	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1619	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1620	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1621	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1622	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
1623	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1624	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	complemented
1625	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1626	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1627	C₂×#117	C₂²×C₈₉	1	2	yes	complemented
1628	2₋¹⁺⁴	—	4	8	no	—
1629	H(5,𝔽₂)	—	4	8	no	—
1630	C₂×#41	—	4	8	no	—
1631	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1632	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1633	C₂×#41	C₂³×C₈₉	1	2	yes	—
1634	C₂×#41	C₂³×C₈₉	1	2	yes	—
1635	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1636	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1637	C₂×#41	C₂³×C₈₉	1	2	yes	—
1638	C₂×#41	C₂³×C₈₉	1	2	yes	—
1639	C₂×#41	C₂³×C₈₉	1	2	yes	—
1640	C₂×#41	C₂³×C₈₉	1	2	yes	—
1641	C₂×#41	C₂³×C₈₉	1	4	yes	—
1642	C₂×#41	C₂³×C₈₉	1	2	yes	—
1643	C₂×#41	C₂³×C₈₉	1	2	yes	—
1644	C₂×#41	C₂³×C₈₉	1	4	yes	—
1645	C₂×#41	C₂³×C₈₉	1	4	yes	—
1646	C₂×#41	C₂³×C₈₉	1	4	yes	—
1647	C₂×#41	C₂³×C₈₉	1	4	yes	—
1648	C₂×#41	C₂³×C₈₉	1	2	yes	—
1649	C₂×#41	C₂³×C₈₉	1	4	yes	—
1650	C₂×#41	C₂³×C₈₉	1	2	yes	—
1651	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1652	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1653	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1654	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1655	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1656	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1657	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1658	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1659	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1660	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1661	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1662	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1663	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1664	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1665	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1666	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1667	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1668	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1669	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1670	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1671	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1672	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1673	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1674	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1675	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1676	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1677	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1678	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1679	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1680	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1681	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1682	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1683	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1684	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1685	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1686	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1687	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1688	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1689	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1690	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1691	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1692	#127	C₂³×C₈₉	1	1	yes	characteristic
1693	#127	C₂³×C₈₉	1	1	yes	characteristic
1694	#127	C₂³×C₈₉	1	1	yes	characteristic
1695	#127	C₂³×C₈₉	1	2	yes	—
1696	#127	C₂³×C₈₉	1	4	yes	—
1697	#127	C₂³×C₈₉	1	2	yes	—
1698	#126	C₂³×C₈₉	1	2	yes	—
1699	#126	C₂³×C₈₉	1	4	yes	—
1700	#126	C₂³×C₈₉	1	4	yes	—
1701	#126	C₂³×C₈₉	1	4	yes	—
1702	#126	C₂³×C₈₉	1	4	yes	—
1703	#126	C₂³×C₈₉	1	4	yes	—
1704	#126	C₂³×C₈₉	1	4	yes	—
1705	#126	C₂³×C₈₉	1	4	yes	—
1706	#126	C₂³×C₈₉	1	2	yes	—
1707	#126	C₂³×C₈₉	1	2	yes	—
1708	#126	C₂³×C₈₉	1	2	yes	—
1709	#126	C₂³×C₈₉	1	2	yes	—
1710	#126	C₂³×C₈₉	1	2	yes	—
1711	#126	C₂³×C₈₉	1	4	yes	—
1712	#126	C₂³×C₈₉	1	2	yes	—
1713	#126	C₂³×C₈₉	1	4	yes	—
1714	#126	C₂³×C₈₉	1	4	yes	—
1715	#126	C₂³×C₈₉	1	4	yes	—
1716	#126	C₂³×C₈₉	1	2	yes	—
1717	#126	C₂³×C₈₉	1	2	yes	—
1718	#126	C₂³×C₈₉	1	2	yes	—
1719	#126	C₂³×C₈₉	1	4	yes	—
1720	#126	C₂³×C₈₉	1	4	yes	—
1721	#126	C₂³×C₈₉	1	4	yes	—
1722	#126	C₂³×C₈₉	1	4	yes	—
1723	#126	C₂³×C₈₉	1	4	yes	—
1724	#126	C₂³×C₈₉	1	4	yes	—
1725	#125	C₂³×C₈₉	1	1	yes	characteristic
1726	#125	C₂³×C₈₉	1	1	yes	characteristic
1727	#125	C₂³×C₈₉	1	2	yes	—
1728	#125	C₂³×C₈₉	1	4	yes	—
1729	#125	C₂³×C₈₉	1	4	yes	—
1730	#125	C₂³×C₈₉	1	1	yes	characteristic
1731	#125	C₂³×C₈₉	1	2	yes	—
1732	#125	C₂³×C₈₉	1	2	yes	—
1733	#125	C₂³×C₈₉	1	1	yes	characteristic
1734	#125	C₂³×C₈₉	1	2	yes	—
1735	#125	C₂³×C₈₉	1	2	yes	—
1736	#125	C₂³×C₈₉	1	2	yes	—
1737	#125	C₂³×C₈₉	1	2	yes	—
1738	#125	C₂³×C₈₉	1	4	yes	—
1739	#125	C₂³×C₈₉	1	4	yes	—
1740	#125	C₂³×C₈₉	1	4	yes	—
1741	#125	C₂³×C₈₉	1	4	yes	—
1742	#124	C₂³×C₈₉	1	1	yes	characteristic
1743	#124	C₂³×C₈₉	1	1	yes	characteristic
1744	#124	C₂³×C₈₉	1	4	yes	—
1745	#124	C₂³×C₈₉	1	2	yes	—
1746	#124	C₂³×C₈₉	1	2	yes	—
1747	#124	C₂³×C₈₉	1	2	yes	—
1748	#124	C₂³×C₈₉	1	4	yes	—
1749	#124	C₂³×C₈₉	1	4	yes	—
1750	#124	C₂³×C₈₉	1	4	yes	—
1751	#124	C₂³×C₈₉	1	2	yes	—
1752	#124	C₂³×C₈₉	1	2	yes	—
1753	#124	C₂³×C₈₉	1	4	yes	—
1754	#124	C₂³×C₈₉	1	2	yes	—
1755	#124	C₂³×C₈₉	1	4	yes	—
1756	#124	C₂³×C₈₉	1	4	yes	—
1757	#124	C₂³×C₈₉	1	2	yes	—
1758	#124	C₂³×C₈₉	1	4	yes	—
1759	#124	C₂³×C₈₉	1	4	yes	—
1760	#124	C₂³×C₈₉	1	4	yes	—
1761	#124	C₂³×C₈₉	1	2	yes	—
1762	#124	C₂³×C₈₉	1	1	yes	characteristic
1763	#124	C₂³×C₈₉	1	2	yes	—
1764	#124	C₂³×C₈₉	1	1	yes	characteristic
1765	#124	C₂³×C₈₉	1	4	yes	—
1766	#124	C₂³×C₈₉	1	2	yes	—
1767	#124	C₂³×C₈₉	1	4	yes	—
1768	#124	C₂³×C₈₉	1	2	yes	—
1769	#124	C₂³×C₈₉	1	2	yes	—
1770	#124	C₂³×C₈₉	1	2	yes	—
1771	#124	C₂³×C₈₉	1	2	yes	—
1772	#124	C₂³×C₈₉	1	4	yes	—
1773	#124	C₂³×C₈₉	1	2	yes	—
1774	#124	C₂³×C₈₉	1	4	yes	—
1775	#124	C₂³×C₈₉	1	4	yes	—
1776	#124	C₂³×C₈₉	1	4	yes	—
1777	#124	C₂³×C₈₉	1	4	yes	—
1778	#124	C₂³×C₈₉	1	4	yes	—
1779	#124	C₂³×C₈₉	1	4	yes	—
1780	#124	C₂³×C₈₉	1	4	yes	—
1781	#123	C₂³×C₈₉	1	4	yes	—
1782	#123	C₂³×C₈₉	1	2	yes	—
1783	#123	C₂³×C₈₉	1	2	yes	—
1784	#123	C₂³×C₈₉	1	2	yes	—
1785	#123	C₂³×C₈₉	1	4	yes	—
1786	#123	C₂³×C₈₉	1	4	yes	—
1787	#123	C₂³×C₈₉	1	4	yes	—
1788	#123	C₂³×C₈₉	1	4	yes	—
1789	#123	C₂³×C₈₉	1	4	yes	—
1790	#123	C₂³×C₈₉	1	4	yes	—
1791	#123	C₂³×C₈₉	1	4	yes	—
1792	#123	C₂³×C₈₉	1	4	yes	—
1793	#123	C₂³×C₈₉	1	4	yes	—
1794	#123	C₂³×C₈₉	1	4	yes	—
1795	#123	C₂³×C₈₉	1	4	yes	—
1796	#123	C₂³×C₈₉	1	2	yes	—
1797	#123	C₂³×C₈₉	1	4	yes	—
1798	#123	C₂³×C₈₉	1	4	yes	—
1799	#123	C₂³×C₈₉	1	2	yes	—
1800	#123	C₂³×C₈₉	1	4	yes	—
1801	#123	C₂³×C₈₉	1	4	yes	—
1802	#123	C₂³×C₈₉	1	2	yes	—
1803	#123	C₂³×C₈₉	1	2	yes	—
1804	#123	C₂³×C₈₉	1	2	yes	—
1805	#123	C₂³×C₈₉	1	4	yes	—
1806	#123	C₂³×C₈₉	1	4	yes	—
1807	#123	C₂³×C₈₉	1	4	yes	—
1808	#123	C₂³×C₈₉	1	4	yes	—
1809	#123	C₂³×C₈₉	1	2	yes	—
1810	#123	C₂³×C₈₉	1	2	yes	—
1811	#123	C₂³×C₈₉	1	4	yes	—
1812	#123	C₂³×C₈₉	1	2	yes	—
1813	#123	C₂³×C₈₉	1	2	yes	—
1814	#123	C₂³×C₈₉	1	4	yes	—
1815	#123	C₂³×C₈₉	1	2	yes	—
1816	#123	C₂³×C₈₉	1	2	yes	—
1817	#123	C₂³×C₈₉	1	2	yes	—
1818	#123	C₂³×C₈₉	1	2	yes	—
1819	#123	C₂³×C₈₉	1	4	yes	—
1820	#123	C₂³×C₈₉	1	4	yes	—
1821	#123	C₂³×C₈₉	1	4	yes	—
1822	#123	C₂³×C₈₉	1	4	yes	—
1823	#123	C₂³×C₈₉	1	4	yes	—
1824	#123	C₂³×C₈₉	1	4	yes	—
1825	#123	C₂³×C₈₉	1	4	yes	—
1826	#123	C₂³×C₈₉	1	4	yes	—
1827	#123	C₂³×C₈₉	1	4	yes	—
1828	#123	C₂³×C₈₉	1	4	yes	—
1829	#123	C₂³×C₈₉	1	4	yes	—
1830	#123	C₂³×C₈₉	1	4	yes	—
1831	#123	C₂³×C₈₉	1	4	yes	—
1832	#123	C₂³×C₈₉	1	4	yes	—
1833	#123	C₂³×C₈₉	1	4	yes	—
1834	#123	C₂³×C₈₉	1	4	yes	—
1835	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1836	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1837	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1838	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1839	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1840	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1841	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1842	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1843	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1844	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1845	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1846	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1847	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1848	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1849	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1850	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1851	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1852	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1853	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1854	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1855	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1856	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1857	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1858	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1859	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1860	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1861	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1862	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1863	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1864	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1865	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1866	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1867	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1868	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1869	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1870	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1871	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1872	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1873	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1874	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1875	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1876	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1877	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1878	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1879	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1880	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1881	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1882	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1883	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1884	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1885	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1886	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1887	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1888	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1889	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1890	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1891	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1892	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1893	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1894	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1895	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1896	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1897	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1898	#121	C₂³×C₈₉	1	1	yes	characteristic
1899	#121	C₂³×C₈₉	1	2	yes	—
1900	#121	C₂³×C₈₉	1	4	yes	—
1901	#121	C₂³×C₈₉	1	2	yes	—
1902	#121	C₂³×C₈₉	1	2	yes	—
1903	#121	C₂³×C₈₉	1	4	yes	—
1904	#121	C₂³×C₈₉	1	1	yes	characteristic
1905	#121	C₂³×C₈₉	1	2	yes	—
1906	#121	C₂³×C₈₉	1	2	yes	—
1907	#121	C₂³×C₈₉	1	4	yes	—
1908	#121	C₂³×C₈₉	1	4	yes	—
1909	#121	C₂³×C₈₉	1	2	yes	—
1910	#121	C₂³×C₈₉	1	1	yes	characteristic
1911	#121	C₂³×C₈₉	1	1	yes	characteristic
1912	#121	C₂³×C₈₉	1	2	yes	—
1913	#121	C₂³×C₈₉	1	2	yes	—
1914	#121	C₂³×C₈₉	1	2	yes	—
1915	#121	C₂³×C₈₉	1	2	yes	—
1916	#121	C₂³×C₈₉	1	2	yes	—
1917	#121	C₂³×C₈₉	1	4	yes	—
1918	#121	C₂³×C₈₉	1	2	yes	—
1919	#121	C₂³×C₈₉	1	2	yes	—
1920	#121	C₂³×C₈₉	1	2	yes	—
1921	#121	C₂³×C₈₉	1	4	yes	—
1922	#121	C₂³×C₈₉	1	4	yes	—
1923	#121	C₂³×C₈₉	1	2	yes	—
1924	#121	C₂³×C₈₉	1	2	yes	—
1925	#121	C₂³×C₈₉	1	4	yes	—
1926	#121	C₂³×C₈₉	1	2	yes	—
1927	#121	C₂³×C₈₉	1	4	yes	—
1928	#121	C₂³×C₈₉	1	1	yes	characteristic
1929	#121	C₂³×C₈₉	1	2	yes	—
1930	#121	C₂³×C₈₉	1	1	yes	characteristic
1931	#121	C₂³×C₈₉	1	2	yes	—
1932	#121	C₂³×C₈₉	1	2	yes	—
1933	#121	C₂³×C₈₉	1	2	yes	—
1934	#121	C₂³×C₈₉	1	4	yes	—
1935	#121	C₂³×C₈₉	1	4	yes	—
1936	#121	C₂³×C₈₉	1	2	yes	—
1937	#121	C₂³×C₈₉	1	2	yes	—
1938	#121	C₂³×C₈₉	1	1	yes	characteristic
1939	#121	C₂³×C₈₉	1	4	yes	—
1940	#121	C₂³×C₈₉	1	1	yes	characteristic
1941	#121	C₂³×C₈₉	1	2	yes	—
1942	#121	C₂³×C₈₉	1	2	yes	—
1943	#121	C₂³×C₈₉	1	2	yes	—
1944	#121	C₂³×C₈₉	1	2	yes	—
1945	#121	C₂³×C₈₉	1	2	yes	—
1946	#121	C₂³×C₈₉	1	2	yes	—
1947	#121	C₂³×C₈₉	1	2	yes	—
1948	#121	C₂³×C₈₉	1	4	yes	—
1949	#121	C₂³×C₈₉	1	4	yes	—
1950	#121	C₂³×C₈₉	1	4	yes	—
1951	#121	C₂³×C₈₉	1	4	yes	—
1952	#121	C₂³×C₈₉	1	4	yes	—
1953	#121	C₂³×C₈₉	1	4	yes	—
1954	#121	C₂³×C₈₉	1	4	yes	—
1955	#121	C₂³×C₈₉	1	4	yes	—
1956	#121	C₂³×C₈₉	1	4	yes	—
1957	#121	C₂³×C₈₉	1	4	yes	—
1958	#121	C₂³×C₈₉	1	4	yes	—
1959	#121	C₂³×C₈₉	1	4	yes	—
1960	#121	C₂³×C₈₉	1	4	yes	—
1961	#121	C₂³×C₈₉	1	4	yes	—
1962	#121	C₂³×C₈₉	1	4	yes	—
1963	#120	C₂³×C₈₉	1	2	yes	—
1964	#120	C₂³×C₈₉	1	2	yes	—
1965	#120	C₂³×C₈₉	1	2	yes	—
1966	#120	C₂³×C₈₉	1	4	yes	—
1967	#120	C₂³×C₈₉	1	4	yes	—
1968	#120	C₂³×C₈₉	1	4	yes	—
1969	#120	C₂³×C₈₉	1	4	yes	—
1970	#120	C₂³×C₈₉	1	2	yes	—
1971	#120	C₂³×C₈₉	1	4	yes	—
1972	#120	C₂³×C₈₉	1	4	yes	—
1973	#120	C₂³×C₈₉	1	2	yes	—
1974	#120	C₂³×C₈₉	1	2	yes	—
1975	#120	C₂³×C₈₉	1	4	yes	—
1976	#120	C₂³×C₈₉	1	4	yes	—
1977	#120	C₂³×C₈₉	1	4	yes	—
1978	#120	C₂³×C₈₉	1	4	yes	—
1979	#120	C₂³×C₈₉	1	4	yes	—
1980	#120	C₂³×C₈₉	1	4	yes	—
1981	#120	C₂³×C₈₉	1	4	yes	—
1982	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1983	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1984	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1985	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1986	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1987	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1988	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1989	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1990	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1991	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1992	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1993	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1994	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1995	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1996	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1997	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1998	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1999	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
2000	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
2001	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
2002	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
2003	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2004	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2005	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2006	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2007	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2008	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2009	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2010	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2011	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2012	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2013	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2014	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2015	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2016	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2017	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2018	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2019	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2020	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2021	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2022	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2023	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2024	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2025	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2026	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2027	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2028	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2029	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2030	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2031	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2032	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2033	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2034	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2035	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2036	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2037	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2038	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
2039	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2040	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2041	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2042	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2043	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2044	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2045	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2046	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2047	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2048	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2049	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2050	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2051	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2052	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2053	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2054	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2055	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2056	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2057	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2058	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2059	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2060	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2061	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2062	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2063	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2064	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2065	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2066	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2067	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2068	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2069	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2070	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2071	C₄×D₄	C₂³×C₈₉	1	4	yes	—
2072	C₄×D₄	C₂³×C₈₉	1	2	yes	—
2073	#117	C₂³×C₈₉	1	1	yes	characteristic
2074	#117	C₂³×C₈₉	1	2	yes	—
2075	#117	C₂³×C₈₉	1	2	yes	—
2076	#117	C₂³×C₈₉	1	2	yes	—
2077	#117	C₂³×C₈₉	1	2	yes	—
2078	#117	C₂³×C₈₉	1	2	yes	—
2079	#117	C₂³×C₈₉	1	2	yes	—
2080	#117	C₂³×C₈₉	1	2	yes	—
2081	#117	C₂³×C₈₉	1	1	yes	characteristic
2082	#117	C₂³×C₈₉	1	2	yes	—
2083	#117	C₂³×C₈₉	1	1	yes	characteristic
2084	#117	C₂³×C₈₉	1	1	yes	characteristic
2085	#117	C₂³×C₈₉	1	4	yes	—
2086	#117	C₂³×C₈₉	1	2	yes	—
2087	#117	C₂³×C₈₉	1	1	yes	characteristic
2088	#117	C₂³×C₈₉	1	2	yes	—
2089	#117	C₂³×C₈₉	1	1	yes	characteristic
2090	#117	C₂³×C₈₉	1	2	yes	—
2091	#117	C₂³×C₈₉	1	2	yes	—
2092	#117	C₂³×C₈₉	1	2	yes	—
2093	#117	C₂³×C₈₉	1	2	yes	—
2094	#117	C₂³×C₈₉	1	2	yes	—
2095	#117	C₂³×C₈₉	1	4	yes	—
2096	#117	C₂³×C₈₉	1	4	yes	—
2097	#117	C₂³×C₈₉	1	4	yes	—
2098	#117	C₂³×C₈₉	1	4	yes	—
2099	#117	C₂³×C₈₉	1	2	yes	—
2100	#117	C₂³×C₈₉	1	4	yes	—
2101	#117	C₂³×C₈₉	1	4	yes	—
2102	#117	C₂³×C₈₉	1	2	yes	—
2103	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2104	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2105	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2106	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
2107	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
2108	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2109	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2110	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2111	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2112	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2113	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2114	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2115	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2116	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2117	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
2118	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
2119	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
2120	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
2121	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2122	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
2123	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
2124	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2125	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2126	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2127	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2128	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2129	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2130	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2131	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2132	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2133	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2134	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
2135	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
2136	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
2137	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
2138	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
2139	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
2140	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
2141	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
2142	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
2143	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
2144	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
2145	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
2146	#41	—	2	4	no	—
2147	#41	—	2	8	no	—
2148	#41	—	2	8	no	—
2149	#41	—	2	4	no	—
2150	#41	—	4	4	no	—
2151	#41	—	4	4	no	—
2152	#41	—	4	2	no	—
2153	#41	—	4	8	no	—
2154	#41	—	4	8	no	—
2155	#41	—	4	8	no	—
2156	#41	—	4	8	no	—
2157	#41	—	4	8	no	—
2158	#41	—	4	8	no	—
2159	#41	—	4	4	no	—
2160	#41	—	4	4	no	—
2161	#41	—	4	4	no	—
2162	#41	—	4	4	no	—
2163	#41	—	4	4	no	—
2164	#41	—	4	2	no	—
2165	#41	—	4	4	no	—
2166	C₂×Q₈	—	4	8	no	—
2167	C₂×Q₈	—	4	4	no	—
2168	C₂×Q₈	—	4	4	no	—
2169	C₂×Q₈	—	4	4	no	—
2170	C₂×Q₈	—	4	4	no	—
2171	C₂×Q₈	—	4	4	no	—
2172	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
2173	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2174	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
2175	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2176	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
2177	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2178	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2179	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
2180	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
2181	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
2182	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
2183	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2184	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
2185	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
2186	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
2187	C₂×D₄	—	2	8	no	—
2188	C₂×D₄	—	2	4	no	—
2189	C₂×D₄	—	4	4	no	—
2190	C₂×D₄	—	4	4	no	—
2191	C₂×D₄	—	4	4	no	—
2192	C₂×D₄	—	4	2	no	—
2193	C₂×D₄	—	4	8	no	—
2194	C₂×D₄	—	4	8	no	—
2195	C₂×D₄	—	4	8	no	—
2196	C₂×D₄	—	4	8	no	—
2197	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2198	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2199	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2200	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2201	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2202	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2203	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2204	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2205	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2206	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2207	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2208	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2209	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2210	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2211	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2212	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2213	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2214	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2215	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2216	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2217	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2218	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2219	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2220	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2221	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2222	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2223	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2224	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2225	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2226	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2227	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2228	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2229	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2230	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2231	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2232	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2233	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2234	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2235	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
2236	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
2237	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
2238	C₂²×C₄	—	4	4	no	—
2239	C₂²×C₄	—	4	4	no	—
2240	C₂²×C₄	—	4	8	no	—
2241	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2242	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2243	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2244	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2245	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2246	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2247	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2248	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2249	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2250	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2251	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2252	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2253	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2254	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2255	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2256	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2257	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2258	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2259	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2260	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2261	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2262	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2263	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2264	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2265	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2266	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2267	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2268	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2269	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2270	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2271	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2272	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2273	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2274	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2275	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2276	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2277	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2278	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2279	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
2280	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
2281	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2282	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2283	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2284	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2285	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2286	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2287	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2288	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2289	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2290	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2291	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2292	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2293	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2294	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2295	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2296	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2297	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2298	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2299	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2300	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2301	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2302	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2303	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2304	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2305	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2306	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2307	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2308	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2309	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2310	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2311	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2312	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2313	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2314	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2315	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2316	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2317	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2318	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2319	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2320	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2321	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2322	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2323	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2324	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2325	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2326	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2327	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2328	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2329	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2330	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2331	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2332	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2333	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2334	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2335	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2336	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2337	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2338	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2339	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2340	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2341	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2342	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2343	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2344	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2345	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2346	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2347	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2348	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2349	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2350	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2351	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2352	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2353	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2354	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2355	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2356	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2357	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2358	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2359	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2360	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2361	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2362	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2363	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2364	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2365	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2366	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2367	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2368	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2369	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2370	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2371	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2372	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2373	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2374	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2375	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2376	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2377	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2378	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2379	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2380	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2381	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2382	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2383	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2384	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2385	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2386	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2387	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2388	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2389	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2390	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2391	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2392	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2393	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2394	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2395	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2396	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2397	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2398	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2399	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2400	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2401	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2402	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2403	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2404	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2405	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2406	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2407	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2408	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2409	C₂²⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
2410	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2411	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2412	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2413	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2414	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2415	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2416	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2417	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2418	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2419	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2420	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2421	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2422	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2423	C₄²	C₂⁴×C₈₉	1	2	yes	—
2424	C₄²	C₂⁴×C₈₉	1	2	yes	—
2425	C₄²	C₂⁴×C₈₉	1	2	yes	—
2426	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2427	C₄²	C₂⁴×C₈₉	1	2	yes	—
2428	C₄²	C₂⁴×C₈₉	1	2	yes	—
2429	C₄²	C₂⁴×C₈₉	1	4	yes	—
2430	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2431	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2432	C₄²	C₂⁴×C₈₉	1	2	yes	—
2433	C₄²	C₂⁴×C₈₉	1	2	yes	—
2434	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2435	C₄²	C₂⁴×C₈₉	1	2	yes	—
2436	C₄²	C₂⁴×C₈₉	1	2	yes	—
2437	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2438	C₄²	C₂⁴×C₈₉	1	4	yes	—
2439	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2440	C₄²	C₂⁴×C₈₉	1	4	yes	—
2441	C₄²	C₂⁴×C₈₉	1	4	yes	—
2442	C₄²	C₂⁴×C₈₉	1	4	yes	—
2443	C₄²	C₂⁴×C₈₉	1	4	yes	—
2444	C₂³	—	2	8	no	—
2445	C₂³	—	2	4	no	—
2446	C₂³	—	4	2	no	—
2447	C₂³	—	4	2	no	—
2448	C₂³	—	4	4	no	—
2449	C₂³	—	4	2	no	—
2450	C₂³	—	4	2	no	—
2451	C₂³	—	4	4	no	—
2452	C₂³	—	4	2	no	—
2453	C₂³	—	4	4	no	—
2454	C₂³	—	4	4	no	—
2455	C₂³	—	4	4	no	—
2456	C₂³	C₂⁵×C₈₉	1	2	yes	—
2457	C₂³	C₂⁵×C₈₉	1	2	yes	—
2458	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
2459	C₂³	C₂⁵×C₈₉	1	2	yes	—
2460	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
2461	C₂³	C₂⁵×C₈₉	1	4	yes	—
2462	C₂³	C₂⁵×C₈₉	1	2	yes	—
2463	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
2464	C₂³	C₂⁵×C₈₉	1	2	yes	—
2465	Q₈	—	2	2	no	—
2466	Q₈	—	2	4	no	—
2467	Q₈	—	2	2	no	—
2468	Q₈	—	2	4	no	—
2469	Q₈	—	2	2	no	—
2470	Q₈	—	2	4	no	—
2471	Q₈	—	4	2	no	—
2472	Q₈	—	4	4	no	—
2473	Q₈	—	4	4	no	—
2474	Q₈	—	4	4	no	—
2475	Q₈	—	4	4	no	—
2476	Q₈	—	4	4	no	—
2477	Q₈	—	4	2	no	—
2478	Q₈	—	4	1	no	—
2479	Q₈	—	4	2	no	—
2480	D₄	—	2	4	no	—
2481	D₄	—	2	8	no	—
2482	D₄	—	2	4	no	—
2483	D₄	—	2	8	no	—
2484	D₄	—	2	8	no	—
2485	D₄	—	2	4	no	—
2486	D₄	—	2	2	no	—
2487	D₄	—	2	4	no	—
2488	D₄	—	2	2	no	—
2489	D₄	—	2	4	no	—
2490	D₄	—	2	2	no	—
2491	D₄	—	2	2	no	—
2492	D₄	—	4	2	no	—
2493	D₄	—	4	4	no	—
2494	D₄	—	4	2	no	—
2495	D₄	—	4	2	no	—
2496	D₄	—	4	4	no	—
2497	D₄	—	4	4	no	—
2498	D₄	—	4	4	no	—
2499	D₄	—	4	2	no	—
2500	D₄	—	4	4	no	—
2501	D₄	—	4	4	no	—
2502	D₄	—	4	4	no	—
2503	D₄	—	4	2	no	—
2504	D₄	—	4	2	no	—
2505	D₄	—	4	2	no	—
2506	D₄	—	4	2	no	—
2507	D₄	—	4	2	no	—
2508	D₄	—	4	2	no	—
2509	D₄	—	4	4	no	—
2510	D₄	—	4	2	no	—
2511	D₄	—	4	1	no	—
2512	D₄	—	4	1	no	—
2513	D₄	—	4	1	no	—
2514	D₄	—	4	4	no	—
2515	D₄	—	4	4	no	—
2516	D₄	—	4	2	no	—
2517	D₄	—	4	2	no	—
2518	D₄	—	4	2	no	—
2519	D₄	—	4	2	no	—
2520	D₄	H(5,𝔽₂)×C₈₉	1	4	yes	—
2521	C₂×C₄	—	2	4	no	—
2522	C₂×C₄	—	2	8	no	—
2523	C₂×C₄	—	2	8	no	—
2524	C₂×C₄	—	2	4	no	—
2525	C₂×C₄	—	2	2	no	—
2526	C₂×C₄	—	2	4	no	—
2527	C₂×C₄	—	2	4	no	—
2528	C₂×C₄	—	2	2	no	—
2529	C₂×C₄	—	2	4	no	—
2530	C₂×C₄	—	2	2	no	—
2531	C₂×C₄	—	2	2	no	—
2532	C₂×C₄	—	2	4	no	—
2533	C₂×C₄	—	2	4	no	—
2534	C₂×C₄	—	2	2	no	—
2535	C₂×C₄	—	2	2	no	—
2536	C₂×C₄	—	4	2	no	—
2537	C₂×C₄	—	4	2	no	—
2538	C₂×C₄	—	4	2	no	—
2539	C₂×C₄	—	4	2	no	—
2540	C₂×C₄	—	4	4	no	—
2541	C₂×C₄	—	4	2	no	—
2542	C₂×C₄	—	4	4	no	—
2543	C₂×C₄	—	4	2	no	—
2544	C₂×C₄	—	4	4	no	—
2545	C₂×C₄	—	4	1	no	—
2546	C₂×C₄	—	4	2	no	—
2547	C₂×C₄	—	4	2	no	—
2548	C₂×C₄	—	4	1	no	—
2549	C₂×C₄	—	4	2	no	—
2550	C₂×C₄	—	4	4	no	—
2551	C₂×C₄	—	4	1	no	—
2552	C₂×C₄	—	4	4	no	—
2553	C₂×C₄	—	4	4	no	—
2554	C₂×C₄	—	4	4	no	—
2555	C₂×C₄	—	4	4	no	—
2556	C₂×C₄	—	4	4	no	—
2557	C₂×C₄	—	4	4	no	—
2558	C₂×C₄	—	4	4	no	—
2559	C₂×C₄	—	4	4	no	—
2560	C₂×C₄	—	4	2	no	—
2561	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2562	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2563	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2564	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2565	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2566	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2567	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2568	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2569	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2570	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2571	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2572	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2573	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2574	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2575	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2576	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2577	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2578	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2579	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2580	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2581	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2582	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2583	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2584	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2585	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2586	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2587	C₂²	—	2	2	no	—
2588	C₂²	—	2	2	no	—
2589	C₂²	—	2	1	no	—
2590	C₂²	—	2	2	no	—
2591	C₂²	—	2	2	no	—
2592	C₂²	—	2	1	no	—
2593	C₂²	—	2	2	no	—
2594	C₂²	—	2	1	no	—
2595	C₂²	—	2	4	no	—
2596	C₂²	—	2	2	no	—
2597	C₂²	—	2	1	no	—
2598	C₂²	—	2	2	no	—
2599	C₂²	—	2	1	no	—
2600	C₂²	—	2	1	no	—
2601	C₂²	—	2	2	no	—
2602	C₂²	—	2	4	no	—
2603	C₂²	—	2	2	no	—
2604	C₂²	—	2	2	no	—
2605	C₂²	—	2	1	no	—
2606	C₂²	—	2	1	no	—
2607	C₂²	—	2	1	no	—
2608	C₂²	—	2	4	no	—
2609	C₂²	—	2	2	no	—
2610	C₂²	—	2	2	no	—
2611	C₂²	—	2	2	no	—
2612	C₂²	—	2	2	no	—
2613	C₂²	—	8	4	no	—
2614	C₂²	—	8	8	no	—
2615	C₂²	—	8	4	no	—
2616	C₂²	—	16	4	no	—
2617	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	4	yes	—
2618	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
2619	C₄	—	2	1	no	—
2620	C₄	—	2	2	no	—
2621	C₄	—	2	2	no	—
2622	C₄	—	2	1	no	—
2623	C₄	—	2	1	no	—
2624	C₄	—	2	2	no	—
2625	C₄	—	2	2	no	—
2626	C₄	—	2	4	no	—
2627	C₄	—	2	4	no	—
2628	C₄	—	2	2	no	—
2629	C₄	—	2	2	no	—
2630	C₄	—	2	1	no	—
2631	C₄	—	2	1	no	—
2632	C₄	—	2	1	no	—
2633	C₄	—	2	2	no	—
2634	C₄	—	2	4	no	—
2635	C₄	—	2	2	no	—
2636	C₄	—	2	1	no	—
2637	C₄	—	2	1	no	—
2638	C₄	—	2	2	no	—
2639	C₄	—	2	1	no	—
2640	C₄	—	2	2	no	—
2641	C₄	—	2	2	no	—
2642	C₄	—	2	1	no	—
2643	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
2644	C₄	#585×C₈₉	1	2	yes	—
2645	C₂	—	2	4	no	—
2646	C₂	—	4	1	no	—
2647	C₂	—	4	2	no	—
2648	C₂	—	4	1	no	—
2649	C₂	—	4	1	no	—
2650	C₂	—	4	2	no	—
2651	C₂	—	4	4	no	—
2652	C₂	—	4	2	no	—
2653	C₂	—	4	2	no	—
2654	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
2655	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
2656	C₂	C₈₉×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₈₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₈₉×#3561	C₂	semidirect
2. C₈₉×#3560	C₂	semidirect
3. C₈₉×#3558	C₂	semidirect
4. C₈₉×#3554	C₂	semidirect
5. C₈₉×#3552	C₂	semidirect
6. C₈₉×#3550	C₂	semidirect
7. C₈₉×#3547	C₂	semidirect
8. C₈₉×#3546	C₂	semidirect
9. C₈₉×#3545	C₂	semidirect
10. C₈₉×#3544	C₂	semidirect
11. C₈₉×#3542	C₂	semidirect
12. C₈₉×#3541	C₂	semidirect
13. C₈₉×#3540	C₂	semidirect
14. C₈₉×#3536	C₂	semidirect
15. C₈₉×#3535	C₂	semidirect
16. C₈₉×#3533	C₂	semidirect
17. C₈₉×#3522	C₂	semidirect
18. C₈₉×#3521	C₂	semidirect
19. C₈₉×#3520	C₂	semidirect
20. C₈₉×#3520	C₂	semidirect
21. C₈₉×#3514	C₂	semidirect
22. C₈₉×#3514	C₂	semidirect
23. C₈₉×#3513	C₂	semidirect
24. C₈₉×#3511	C₂	semidirect
25. C₈₉×#3500	C₂	semidirect
26. C₈₉×#3499	C₂	semidirect
27. C₈₉×#3496	C₂	semidirect
28. C₈₉×#3494	C₂	semidirect
29. C₈₉×#3489	C₂	semidirect
30. C₈₉×#3485	C₂	semidirect
31. C₈₉×#3482	C₂	semidirect
32. C₈₉×#3475	C₂	semidirect
33. D₄×#41×C₈₉	C₂	semidirect
34. C₈₉×#3460	C₂	semidirect
35. C₂×#542×C₈₉	C₂	semidirect
36. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
37. C₂×H(5,𝔽₂)×C₈₉	C₂²	semidirect
38. C₂²×#41×C₈₉	C₂²	semidirect
39. #563×C₈₉	C₂²	semidirect
40. #563×C₈₉	C₂²	semidirect
41. #563×C₈₉	C₂²	semidirect
42. #563×C₈₉	C₂²	semidirect
43. #562×C₈₉	C₂²	semidirect
44. #562×C₈₉	C₂²	semidirect
45. #562×C₈₉	C₂²	semidirect
46. #562×C₈₉	C₂²	semidirect
47. #562×C₈₉	C₂²	semidirect
48. H(3,𝔽₄)×C₈₉	C₂²	semidirect
49. #560×C₈₉	C₂²	semidirect
50. #560×C₈₉	C₂²	semidirect
51. #559×C₈₉	C₂²	semidirect
52. #559×C₈₉	C₂²	semidirect
53. #559×C₈₉	C₂²	semidirect
54. #559×C₈₉	C₂²	semidirect
55. Q₈²×C₈₉	C₂²	semidirect
56. #557×C₈₉	C₂²	semidirect
57. #556×C₈₉	C₂²	semidirect
58. #556×C₈₉	C₂²	semidirect
59. #556×C₈₉	C₂²	semidirect
60. #556×C₈₉	C₂²	semidirect
61. #556×C₈₉	C₂²	semidirect
62. #556×C₈₉	C₂²	semidirect
63. #556×C₈₉	C₂²	semidirect
64. #555×C₈₉	C₂²	semidirect
65. #555×C₈₉	C₂²	semidirect
66. #555×C₈₉	C₂²	semidirect
67. #555×C₈₉	C₂²	semidirect
68. #555×C₈₉	C₂²	semidirect
69. #554×C₈₉	C₂²	semidirect
70. #554×C₈₉	C₂²	semidirect
71. #554×C₈₉	C₂²	semidirect
72. #554×C₈₉	C₂²	semidirect
73. #554×C₈₉	C₂²	semidirect
74. #554×C₈₉	C₂²	semidirect
75. #554×C₈₉	C₂²	semidirect
76. #553×C₈₉	C₂²	semidirect
77. #553×C₈₉	C₂²	semidirect
78. #553×C₈₉	C₂²	semidirect
79. #553×C₈₉	C₂²	semidirect
80. #553×C₈₉	C₂²	semidirect
81. #553×C₈₉	C₂²	semidirect
82. #553×C₈₉	C₂²	semidirect
83. #553×C₈₉	C₂²	semidirect
84. #552×C₈₉	C₂²	semidirect
85. #552×C₈₉	C₂²	semidirect
86. #552×C₈₉	C₂²	semidirect
87. #552×C₈₉	C₂²	semidirect
88. #552×C₈₉	C₂²	semidirect
89. #552×C₈₉	C₂²	semidirect
90. #552×C₈₉	C₂²	semidirect
91. #552×C₈₉	C₂²	semidirect
92. #551×C₈₉	C₂²	semidirect
93. #551×C₈₉	C₂²	semidirect
94. #551×C₈₉	C₂²	semidirect
95. #551×C₈₉	C₂²	semidirect
96. #551×C₈₉	C₂²	semidirect
97. #551×C₈₉	C₂²	semidirect
98. #551×C₈₉	C₂²	semidirect
99. #551×C₈₉	C₂²	semidirect
100. #551×C₈₉	C₂²	semidirect
101. #551×C₈₉	C₂²	semidirect
102. #551×C₈₉	C₂²	semidirect
103. #550×C₈₉	C₂²	semidirect
104. #550×C₈₉	C₂²	semidirect
105. D₄×Q₈×C₈₉	C₂²	semidirect
106. D₄×Q₈×C₈₉	C₂²	semidirect
107. D₄×Q₈×C₈₉	C₂²	semidirect
108. D₄×Q₈×C₈₉	C₂²	semidirect
109. D₄×Q₈×C₈₉	C₂²	semidirect
110. D₄×Q₈×C₈₉	C₂²	semidirect
111. D₄×Q₈×C₈₉	C₂²	semidirect
112. #548×C₈₉	C₂²	semidirect
113. #548×C₈₉	C₂²	semidirect
114. #548×C₈₉	C₂²	semidirect
115. #548×C₈₉	C₂²	semidirect
116. #548×C₈₉	C₂²	semidirect
117. #548×C₈₉	C₂²	semidirect
118. #548×C₈₉	C₂²	semidirect
119. #548×C₈₉	C₂²	semidirect
120. #548×C₈₉	C₂²	semidirect
121. #548×C₈₉	C₂²	semidirect
123. #547×C₈₉	C₂²	semidirect
124. #547×C₈₉	C₂²	semidirect
125. #547×C₈₉	C₂²	semidirect
126. #547×C₈₉	C₂²	semidirect
127. #547×C₈₉	C₂²	semidirect
128. #547×C₈₉	C₂²	semidirect
129. #547×C₈₉	C₂²	semidirect
130. #547×C₈₉	C₂²	semidirect
131. #547×C₈₉	C₂²	semidirect
132. #547×C₈₉	C₂²	semidirect
133. #547×C₈₉	C₂²	semidirect
134. #547×C₈₉	C₂²	semidirect
135. #547×C₈₉	C₂²	semidirect
136. #547×C₈₉	C₂²	semidirect
137. #547×C₈₉	C₂²	semidirect
138. #547×C₈₉	C₂²	semidirect
139. #547×C₈₉	C₂²	semidirect
141. #546×C₈₉	C₂²	semidirect
142. #546×C₈₉	C₂²	semidirect
143. #546×C₈₉	C₂²	semidirect
144. #546×C₈₉	C₂²	semidirect
145. #546×C₈₉	C₂²	semidirect
146. #546×C₈₉	C₂²	semidirect
147. #546×C₈₉	C₂²	semidirect
148. #546×C₈₉	C₂²	semidirect
149. #546×C₈₉	C₂²	semidirect
150. #546×C₈₉	C₂²	semidirect
151. #546×C₈₉	C₂²	semidirect
152. #546×C₈₉	C₂²	semidirect
153. #546×C₈₉	C₂²	semidirect
154. #546×C₈₉	C₂²	semidirect
155. #546×C₈₉	C₂²	semidirect
156. #546×C₈₉	C₂²	semidirect
157. #546×C₈₉	C₂²	semidirect
158. #546×C₈₉	C₂²	semidirect
159. #546×C₈₉	C₂²	semidirect
160. #546×C₈₉	C₂²	semidirect
161. #546×C₈₉	C₂²	semidirect
162. #546×C₈₉	C₂²	semidirect
165. D₄²×C₈₉	C₂²	semidirect
166. D₄²×C₈₉	C₂²	semidirect
167. #544×C₈₉	C₂²	semidirect
168. #544×C₈₉	C₂²	semidirect
169. #544×C₈₉	C₂²	semidirect
170. #543×C₈₉	C₂²	semidirect
171. #542×C₈₉	C₂²	semidirect
172. #542×C₈₉	C₂²	semidirect
173. #542×C₈₉	C₂²	semidirect
174. #542×C₈₉	C₂²	semidirect
175. #542×C₈₉	C₂²	semidirect
176. #542×C₈₉	C₂²	semidirect
177. #542×C₈₉	C₂²	semidirect
178. #542×C₈₉	C₂²	semidirect
179. #542×C₈₉	C₂²	semidirect
180. #542×C₈₉	C₂²	semidirect
181. #542×C₈₉	C₂²	semidirect
182. #542×C₈₉	C₂²	semidirect
183. #542×C₈₉	C₂²	semidirect
184. #542×C₈₉	C₂²	semidirect
185. #542×C₈₉	C₂²	semidirect
186. #542×C₈₉	C₂²	semidirect
187. #542×C₈₉	C₂²	semidirect
188. #542×C₈₉	C₂²	semidirect
189. #542×C₈₉	C₂²	semidirect
190. #542×C₈₉	C₂²	semidirect
191. #542×C₈₉	C₂²	semidirect
192. #542×C₈₉	C₂²	semidirect
193. #542×C₈₉	C₂²	semidirect
194. #541×C₈₉	C₂²	semidirect
195. #540×C₈₉	C₂²	semidirect
196. #540×C₈₉	C₂²	semidirect
197. #540×C₈₉	C₂²	semidirect
198. #540×C₈₉	C₂²	semidirect
199. #540×C₈₉	C₂²	semidirect
200. #539×C₈₉	C₂²	semidirect
201. #539×C₈₉	C₂²	semidirect
202. #539×C₈₉	C₂²	semidirect
203. #539×C₈₉	C₂²	semidirect
204. #539×C₈₉	C₂²	semidirect
205. #539×C₈₉	C₂²	semidirect
206. #538×C₈₉	C₂²	semidirect
207. #538×C₈₉	C₂²	semidirect
208. #538×C₈₉	C₂²	semidirect
209. #538×C₈₉	C₂²	semidirect
210. #538×C₈₉	C₂²	semidirect
211. #538×C₈₉	C₂²	semidirect
212. #538×C₈₉	C₂²	semidirect
213. #538×C₈₉	C₂²	semidirect
214. #538×C₈₉	C₂²	semidirect
215. #538×C₈₉	C₂²	semidirect
216. #538×C₈₉	C₂²	semidirect
217. #537×C₈₉	C₂²	semidirect
218. #537×C₈₉	C₂²	semidirect
219. #537×C₈₉	C₂²	semidirect
220. #537×C₈₉	C₂²	semidirect
221. #537×C₈₉	C₂²	semidirect
222. #536×C₈₉	C₂²	semidirect
223. #536×C₈₉	C₂²	semidirect
224. #536×C₈₉	C₂²	semidirect
225. #536×C₈₉	C₂²	semidirect
226. #536×C₈₉	C₂²	semidirect
227. #536×C₈₉	C₂²	semidirect
228. #536×C₈₉	C₂²	semidirect
229. #536×C₈₉	C₂²	semidirect
230. #535×C₈₉	C₂²	semidirect
231. #535×C₈₉	C₂²	semidirect
232. #535×C₈₉	C₂²	semidirect
233. #535×C₈₉	C₂²	semidirect
234. #535×C₈₉	C₂²	semidirect
235. #534×C₈₉	C₂²	semidirect
236. #534×C₈₉	C₂²	semidirect
237. #534×C₈₉	C₂²	semidirect
238. #533×C₈₉	C₂²	semidirect
239. #533×C₈₉	C₂²	semidirect
240. #533×C₈₉	C₂²	semidirect
241. #533×C₈₉	C₂²	semidirect
243. #532×C₈₉	C₂²	semidirect
244. #532×C₈₉	C₂²	semidirect
245. #532×C₈₉	C₂²	semidirect
246. #532×C₈₉	C₂²	semidirect
247. #532×C₈₉	C₂²	semidirect
248. #532×C₈₉	C₂²	semidirect
249. #532×C₈₉	C₂²	semidirect
250. #532×C₈₉	C₂²	semidirect
251. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
252. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
253. #529×C₈₉	C₂²	semidirect
254. #529×C₈₉	C₂²	semidirect
255. #529×C₈₉	C₂²	semidirect
256. #529×C₈₉	C₂²	semidirect
257. #529×C₈₉	C₂²	semidirect
258. #529×C₈₉	C₂²	semidirect
259. #529×C₈₉	C₂²	semidirect
260. #529×C₈₉	C₂²	semidirect
261. #529×C₈₉	C₂²	semidirect
262. #529×C₈₉	C₂²	semidirect
263. #529×C₈₉	C₂²	semidirect
264. #529×C₈₉	C₂²	semidirect
265. C₂×#126×C₈₉	C₂²	semidirect
266. C₂×#124×C₈₉	C₂²	semidirect
267. C₂×#124×C₈₉	C₂²	semidirect
268. C₂×#124×C₈₉	C₂²	semidirect
269. #525×C₈₉	C₂²	semidirect
270. #525×C₈₉	C₂²	semidirect
271. #525×C₈₉	C₂²	semidirect
272. #525×C₈₉	C₂²	semidirect
273. #525×C₈₉	C₂²	semidirect
274. #525×C₈₉	C₂²	semidirect
275. #525×C₈₉	C₂²	semidirect
276. #525×C₈₉	C₂²	semidirect
277. C₂×#123×C₈₉	C₂²	semidirect
278. C₂×#123×C₈₉	C₂²	semidirect
279. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
280. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
281. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
283. C₂×#121×C₈₉	C₂²	semidirect
284. #520×C₈₉	C₂²	semidirect
285. #520×C₈₉	C₂²	semidirect
286. #520×C₈₉	C₂²	semidirect
287. #518×C₈₉	C₂²	semidirect
288. #518×C₈₉	C₂²	semidirect
289. C₄×#41×C₈₉	C₂²	semidirect
290. C₄×#41×C₈₉	C₂²	semidirect
291. C₄×#41×C₈₉	C₂²	semidirect
292. C₄×#41×C₈₉	C₂²	semidirect
293. C₄×#41×C₈₉	C₂²	semidirect
294. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
295. C₂×C₄×D₄×C₈₉	C₂²	semidirect
296. C₂×C₄×D₄×C₈₉	C₂²	semidirect
297. C₂×C₄×D₄×C₈₉	C₂²	semidirect
298. C₂×#117×C₈₉	C₂²	semidirect
1316. #62921	C₈₉	direct (N × H)
1329. #3561	C₂×C₈₉	semidirect
1330. #3560	C₂×C₈₉	semidirect
1331. #3558	C₂×C₈₉	semidirect
1332. #3554	C₂×C₈₉	semidirect
1333. #3552	C₂×C₈₉	semidirect
1334. #3550	C₂×C₈₉	semidirect
1335. #3547	C₂×C₈₉	semidirect
1336. #3546	C₂×C₈₉	semidirect
1337. #3545	C₂×C₈₉	semidirect
1338. #3544	C₂×C₈₉	semidirect
1339. #3542	C₂×C₈₉	semidirect
1340. #3541	C₂×C₈₉	semidirect
1341. #3540	C₂×C₈₉	semidirect
1342. #3536	C₂×C₈₉	semidirect
1343. #3535	C₂×C₈₉	semidirect
1344. #3533	C₂×C₈₉	semidirect
1345. #3522	C₂×C₈₉	semidirect
1346. #3521	C₂×C₈₉	semidirect
1347. #3520	C₂×C₈₉	semidirect
1348. #3520	C₂×C₈₉	semidirect
1349. #3514	C₂×C₈₉	semidirect
1350. #3514	C₂×C₈₉	semidirect
1351. #3513	C₂×C₈₉	semidirect
1352. #3511	C₂×C₈₉	semidirect
1353. #3500	C₂×C₈₉	semidirect
1354. #3499	C₂×C₈₉	semidirect
1355. #3496	C₂×C₈₉	semidirect
1356. #3494	C₂×C₈₉	semidirect
1357. #3489	C₂×C₈₉	semidirect
1358. #3485	C₂×C₈₉	semidirect
1359. #3482	C₂×C₈₉	semidirect
1360. #3475	C₂×C₈₉	semidirect
1361. D₄×#41	C₂×C₈₉	semidirect
1362. #3460	C₂×C₈₉	semidirect
1363. C₂×#542	C₂×C₈₉	semidirect
1364. C₈₉	#62921	direct (N × H)
1365. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
1366. C₂×H(5,𝔽₂)	C₂²×C₈₉	semidirect
1367. C₂²×#41	C₂²×C₈₉	semidirect
1368. #563	C₂²×C₈₉	semidirect
1369. #563	C₂²×C₈₉	semidirect
1370. #563	C₂²×C₈₉	semidirect
1371. #563	C₂²×C₈₉	semidirect
1372. #562	C₂²×C₈₉	semidirect
1373. #562	C₂²×C₈₉	semidirect
1374. #562	C₂²×C₈₉	semidirect
1375. #562	C₂²×C₈₉	semidirect
1376. #562	C₂²×C₈₉	semidirect
1377. H(3,𝔽₄)	C₂²×C₈₉	semidirect
1378. #560	C₂²×C₈₉	semidirect
1379. #560	C₂²×C₈₉	semidirect
1380. #559	C₂²×C₈₉	semidirect
1381. #559	C₂²×C₈₉	semidirect
1382. #559	C₂²×C₈₉	semidirect
1383. #559	C₂²×C₈₉	semidirect
1384. Q₈²	C₂²×C₈₉	semidirect
1385. #557	C₂²×C₈₉	semidirect
1386. #556	C₂²×C₈₉	semidirect
1387. #556	C₂²×C₈₉	semidirect
1388. #556	C₂²×C₈₉	semidirect
1389. #556	C₂²×C₈₉	semidirect
1390. #556	C₂²×C₈₉	semidirect
1391. #556	C₂²×C₈₉	semidirect
1392. #556	C₂²×C₈₉	semidirect
1393. #555	C₂²×C₈₉	semidirect
1394. #555	C₂²×C₈₉	semidirect
1395. #555	C₂²×C₈₉	semidirect
1396. #555	C₂²×C₈₉	semidirect
1397. #555	C₂²×C₈₉	semidirect
1398. #554	C₂²×C₈₉	semidirect
1399. #554	C₂²×C₈₉	semidirect
1400. #554	C₂²×C₈₉	semidirect
1401. #554	C₂²×C₈₉	semidirect
1402. #554	C₂²×C₈₉	semidirect
1403. #554	C₂²×C₈₉	semidirect
1404. #554	C₂²×C₈₉	semidirect
1405. #553	C₂²×C₈₉	semidirect
1406. #553	C₂²×C₈₉	semidirect
1407. #553	C₂²×C₈₉	semidirect
1408. #553	C₂²×C₈₉	semidirect
1409. #553	C₂²×C₈₉	semidirect
1410. #553	C₂²×C₈₉	semidirect
1411. #553	C₂²×C₈₉	semidirect
1412. #553	C₂²×C₈₉	semidirect
1413. #552	C₂²×C₈₉	semidirect
1414. #552	C₂²×C₈₉	semidirect
1415. #552	C₂²×C₈₉	semidirect
1416. #552	C₂²×C₈₉	semidirect
1417. #552	C₂²×C₈₉	semidirect
1418. #552	C₂²×C₈₉	semidirect
1419. #552	C₂²×C₈₉	semidirect
1420. #552	C₂²×C₈₉	semidirect
1421. #551	C₂²×C₈₉	semidirect
1422. #551	C₂²×C₈₉	semidirect
1423. #551	C₂²×C₈₉	semidirect
1424. #551	C₂²×C₈₉	semidirect
1425. #551	C₂²×C₈₉	semidirect
1426. #551	C₂²×C₈₉	semidirect
1427. #551	C₂²×C₈₉	semidirect
1428. #551	C₂²×C₈₉	semidirect
1429. #551	C₂²×C₈₉	semidirect
1430. #551	C₂²×C₈₉	semidirect
1431. #551	C₂²×C₈₉	semidirect
1432. #550	C₂²×C₈₉	semidirect
1433. #550	C₂²×C₈₉	semidirect
1434. D₄×Q₈	C₂²×C₈₉	semidirect
1435. D₄×Q₈	C₂²×C₈₉	semidirect
1436. D₄×Q₈	C₂²×C₈₉	semidirect
1437. D₄×Q₈	C₂²×C₈₉	semidirect
1438. D₄×Q₈	C₂²×C₈₉	semidirect
1439. D₄×Q₈	C₂²×C₈₉	semidirect
1440. D₄×Q₈	C₂²×C₈₉	semidirect
1441. #548	C₂²×C₈₉	semidirect
1442. #548	C₂²×C₈₉	semidirect
1443. #548	C₂²×C₈₉	semidirect
1444. #548	C₂²×C₈₉	semidirect
1445. #548	C₂²×C₈₉	semidirect
1446. #548	C₂²×C₈₉	semidirect
1447. #548	C₂²×C₈₉	semidirect
1448. #548	C₂²×C₈₉	semidirect
1449. #548	C₂²×C₈₉	semidirect
1450. #548	C₂²×C₈₉	semidirect
1452. #547	C₂²×C₈₉	semidirect
1453. #547	C₂²×C₈₉	semidirect
1454. #547	C₂²×C₈₉	semidirect
1455. #547	C₂²×C₈₉	semidirect
1456. #547	C₂²×C₈₉	semidirect
1457. #547	C₂²×C₈₉	semidirect
1458. #547	C₂²×C₈₉	semidirect
1459. #547	C₂²×C₈₉	semidirect
1460. #547	C₂²×C₈₉	semidirect
1461. #547	C₂²×C₈₉	semidirect
1462. #547	C₂²×C₈₉	semidirect
1463. #547	C₂²×C₈₉	semidirect
1464. #547	C₂²×C₈₉	semidirect
1465. #547	C₂²×C₈₉	semidirect
1466. #547	C₂²×C₈₉	semidirect
1467. #547	C₂²×C₈₉	semidirect
1468. #547	C₂²×C₈₉	semidirect
1470. #546	C₂²×C₈₉	semidirect
1471. #546	C₂²×C₈₉	semidirect
1472. #546	C₂²×C₈₉	semidirect
1473. #546	C₂²×C₈₉	semidirect
1474. #546	C₂²×C₈₉	semidirect
1475. #546	C₂²×C₈₉	semidirect
1476. #546	C₂²×C₈₉	semidirect
1477. #546	C₂²×C₈₉	semidirect
1478. #546	C₂²×C₈₉	semidirect
1479. #546	C₂²×C₈₉	semidirect
1480. #546	C₂²×C₈₉	semidirect
1481. #546	C₂²×C₈₉	semidirect
1482. #546	C₂²×C₈₉	semidirect
1483. #546	C₂²×C₈₉	semidirect
1484. #546	C₂²×C₈₉	semidirect
1485. #546	C₂²×C₈₉	semidirect
1486. #546	C₂²×C₈₉	semidirect
1487. #546	C₂²×C₈₉	semidirect
1488. #546	C₂²×C₈₉	semidirect
1489. #546	C₂²×C₈₉	semidirect
1490. #546	C₂²×C₈₉	semidirect
1491. #546	C₂²×C₈₉	semidirect
1494. D₄²	C₂²×C₈₉	semidirect
1495. D₄²	C₂²×C₈₉	semidirect
1496. #544	C₂²×C₈₉	semidirect
1497. #544	C₂²×C₈₉	semidirect
1498. #544	C₂²×C₈₉	semidirect
1499. #543	C₂²×C₈₉	semidirect
1500. #542	C₂²×C₈₉	semidirect
1501. #542	C₂²×C₈₉	semidirect
1502. #542	C₂²×C₈₉	semidirect
1503. #542	C₂²×C₈₉	semidirect
1504. #542	C₂²×C₈₉	semidirect
1505. #542	C₂²×C₈₉	semidirect
1506. #542	C₂²×C₈₉	semidirect
1507. #542	C₂²×C₈₉	semidirect
1508. #542	C₂²×C₈₉	semidirect
1509. #542	C₂²×C₈₉	semidirect
1510. #542	C₂²×C₈₉	semidirect
1511. #542	C₂²×C₈₉	semidirect
1512. #542	C₂²×C₈₉	semidirect
1513. #542	C₂²×C₈₉	semidirect
1514. #542	C₂²×C₈₉	semidirect
1515. #542	C₂²×C₈₉	semidirect
1516. #542	C₂²×C₈₉	semidirect
1517. #542	C₂²×C₈₉	semidirect
1518. #542	C₂²×C₈₉	semidirect
1519. #542	C₂²×C₈₉	semidirect
1520. #542	C₂²×C₈₉	semidirect
1521. #542	C₂²×C₈₉	semidirect
1522. #542	C₂²×C₈₉	semidirect
1523. #541	C₂²×C₈₉	semidirect
1524. #540	C₂²×C₈₉	semidirect
1525. #540	C₂²×C₈₉	semidirect
1526. #540	C₂²×C₈₉	semidirect
1527. #540	C₂²×C₈₉	semidirect
1528. #540	C₂²×C₈₉	semidirect
1529. #539	C₂²×C₈₉	semidirect
1530. #539	C₂²×C₈₉	semidirect
1531. #539	C₂²×C₈₉	semidirect
1532. #539	C₂²×C₈₉	semidirect
1533. #539	C₂²×C₈₉	semidirect
1534. #539	C₂²×C₈₉	semidirect
1535. #538	C₂²×C₈₉	semidirect
1536. #538	C₂²×C₈₉	semidirect
1537. #538	C₂²×C₈₉	semidirect
1538. #538	C₂²×C₈₉	semidirect
1539. #538	C₂²×C₈₉	semidirect
1540. #538	C₂²×C₈₉	semidirect
1541. #538	C₂²×C₈₉	semidirect
1542. #538	C₂²×C₈₉	semidirect
1543. #538	C₂²×C₈₉	semidirect
1544. #538	C₂²×C₈₉	semidirect
1545. #538	C₂²×C₈₉	semidirect
1546. #537	C₂²×C₈₉	semidirect
1547. #537	C₂²×C₈₉	semidirect
1548. #537	C₂²×C₈₉	semidirect
1549. #537	C₂²×C₈₉	semidirect
1550. #537	C₂²×C₈₉	semidirect
1551. #536	C₂²×C₈₉	semidirect
1552. #536	C₂²×C₈₉	semidirect
1553. #536	C₂²×C₈₉	semidirect
1554. #536	C₂²×C₈₉	semidirect
1555. #536	C₂²×C₈₉	semidirect
1556. #536	C₂²×C₈₉	semidirect
1557. #536	C₂²×C₈₉	semidirect
1558. #536	C₂²×C₈₉	semidirect
1559. #535	C₂²×C₈₉	semidirect
1560. #535	C₂²×C₈₉	semidirect
1561. #535	C₂²×C₈₉	semidirect
1562. #535	C₂²×C₈₉	semidirect
1563. #535	C₂²×C₈₉	semidirect
1564. #534	C₂²×C₈₉	semidirect
1565. #534	C₂²×C₈₉	semidirect
1566. #534	C₂²×C₈₉	semidirect
1567. #533	C₂²×C₈₉	semidirect
1568. #533	C₂²×C₈₉	semidirect
1569. #533	C₂²×C₈₉	semidirect
1570. #533	C₂²×C₈₉	semidirect
1572. #532	C₂²×C₈₉	semidirect
1573. #532	C₂²×C₈₉	semidirect
1574. #532	C₂²×C₈₉	semidirect
1575. #532	C₂²×C₈₉	semidirect
1576. #532	C₂²×C₈₉	semidirect
1577. #532	C₂²×C₈₉	semidirect
1578. #532	C₂²×C₈₉	semidirect
1579. #532	C₂²×C₈₉	semidirect
1580. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1581. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1582. #529	C₂²×C₈₉	semidirect
1583. #529	C₂²×C₈₉	semidirect
1584. #529	C₂²×C₈₉	semidirect
1585. #529	C₂²×C₈₉	semidirect
1586. #529	C₂²×C₈₉	semidirect
1587. #529	C₂²×C₈₉	semidirect
1588. #529	C₂²×C₈₉	semidirect
1589. #529	C₂²×C₈₉	semidirect
1590. #529	C₂²×C₈₉	semidirect
1591. #529	C₂²×C₈₉	semidirect
1592. #529	C₂²×C₈₉	semidirect
1593. #529	C₂²×C₈₉	semidirect
1594. C₂×#126	C₂²×C₈₉	semidirect
1595. C₂×#124	C₂²×C₈₉	semidirect
1596. C₂×#124	C₂²×C₈₉	semidirect
1597. C₂×#124	C₂²×C₈₉	semidirect
1598. #525	C₂²×C₈₉	semidirect
1599. #525	C₂²×C₈₉	semidirect
1600. #525	C₂²×C₈₉	semidirect
1601. #525	C₂²×C₈₉	semidirect
1602. #525	C₂²×C₈₉	semidirect
1603. #525	C₂²×C₈₉	semidirect
1604. #525	C₂²×C₈₉	semidirect
1605. #525	C₂²×C₈₉	semidirect
1606. C₂×#123	C₂²×C₈₉	semidirect
1607. C₂×#123	C₂²×C₈₉	semidirect
1608. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1609. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1610. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1612. C₂×#121	C₂²×C₈₉	semidirect
1613. #520	C₂²×C₈₉	semidirect
1614. #520	C₂²×C₈₉	semidirect
1615. #520	C₂²×C₈₉	semidirect
1616. #518	C₂²×C₈₉	semidirect
1617. #518	C₂²×C₈₉	semidirect
1618. C₄×#41	C₂²×C₈₉	semidirect
1619. C₄×#41	C₂²×C₈₉	semidirect
1620. C₄×#41	C₂²×C₈₉	semidirect
1621. C₄×#41	C₂²×C₈₉	semidirect
1622. C₄×#41	C₂²×C₈₉	semidirect
1623. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1624. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1625. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1626. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1627. C₂×#117	C₂²×C₈₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₈₉×#3561	2
C₈₉×#3560	2
C₈₉×#3558	2
C₈₉×#3554	2
C₈₉×#3552	2
C₈₉×#3550	2
C₈₉×#3547	2
C₈₉×#3546	2
C₈₉×#3545	2
C₈₉×#3544	2
C₈₉×#3542	2
C₈₉×#3541	2
C₈₉×#3540	2
C₈₉×#3536	2
C₈₉×#3535	2
C₈₉×#3533	2
C₈₉×#3522	2
C₈₉×#3521	2
C₈₉×#3520	2
C₈₉×#3514	2
C₈₉×#3513	2
C₈₉×#3511	2
C₈₉×#3500	2
C₈₉×#3499	2
C₈₉×#3496	2
C₈₉×#3494	2
C₈₉×#3489	2
C₈₉×#3485	2
C₈₉×#3482	2
C₈₉×#3475	2
D₄×#41×C₈₉	2
C₈₉×#3460	2
C₂×#542×C₈₉	2
#62921	89

Subgroups — C89×#62921 #36440769

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62921 #36440769