Subgroups — C₈₉×#62878 #36440726

Order 22784.

7134 conjugacy classes of subgroups.

The subgroup lattice has 1618 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	4	yes	maximal, complemented
2	C₈₉×#3560	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3558	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3558	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3554	C₂	1	4	yes	maximal, complemented
6	C₈₉×#3546	C₂	1	4	yes	maximal, complemented
7	C₈₉×#3542	C₂	1	4	yes	maximal, complemented
8	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3540	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3536	C₂	1	4	yes	maximal, complemented
11	C₈₉×#3536	C₂	1	4	yes	maximal, complemented
12	C₈₉×#3534	C₂	1	4	yes	maximal, complemented
13	C₈₉×#3511	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3500	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3496	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3489	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3488	C₂	1	2	yes	maximal, complemented
21	C₈₉×#3455	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#542×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	2	yes	complemented
25	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	2	yes	complemented
26	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
27	#563×C₈₉	C₂²	1	8	yes	complemented
28	#562×C₈₉	C₂²	1	8	yes	complemented
29	#562×C₈₉	C₂²	1	8	yes	complemented
30	#562×C₈₉	C₂²	1	8	yes	complemented
31	#562×C₈₉	C₂²	1	8	yes	complemented
32	H(3,𝔽₄)×C₈₉	C₂²	1	8	yes	complemented
33	#560×C₈₉	C₂²	1	8	yes	complemented
34	#560×C₈₉	C₂²	1	8	yes	complemented
35	#559×C₈₉	C₂²	1	4	yes	complemented
36	#559×C₈₉	C₂²	1	2	yes	complemented
37	#559×C₈₉	C₂²	1	8	yes	complemented
38	#557×C₈₉	C₂²	1	2	yes	complemented
39	#556×C₈₉	C₂²	1	2	yes	complemented
40	#556×C₈₉	C₂²	1	2	yes	complemented
41	#556×C₈₉	C₂²	1	4	yes	complemented
42	#556×C₈₉	C₂²	1	4	yes	complemented
43	#555×C₈₉	C₂²	1	2	yes	complemented
44	#555×C₈₉	C₂²	1	4	yes	complemented
45	#554×C₈₉	C₂²	1	2	yes	complemented
46	#554×C₈₉	C₂²	1	4	yes	complemented
47	#554×C₈₉	C₂²	1	8	yes	complemented
48	#553×C₈₉	C₂²	1	4	yes	complemented
49	#553×C₈₉	C₂²	1	8	yes	complemented
50	#553×C₈₉	C₂²	1	8	yes	complemented
51	#552×C₈₉	C₂²	1	4	yes	complemented
52	#551×C₈₉	C₂²	1	8	yes	complemented
53	#551×C₈₉	C₂²	1	8	yes	complemented
54	#550×C₈₉	C₂²	1	4	yes	complemented
55	#550×C₈₉	C₂²	1	2	yes	complemented
56	#550×C₈₉	C₂²	1	2	yes	complemented
57	#550×C₈₉	C₂²	1	2	yes	complemented
58	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
59	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
60	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
61	#548×C₈₉	C₂²	1	4	yes	complemented
62	#548×C₈₉	C₂²	1	4	yes	complemented
63	#548×C₈₉	C₂²	1	4	yes	complemented
64	#548×C₈₉	C₂²	1	4	yes	complemented
65	#548×C₈₉	C₂²	1	4	yes	complemented
66	#548×C₈₉	C₂²	1	4	yes	complemented
67	#548×C₈₉	C₂²	1	8	yes	complemented
68	#547×C₈₉	C₂²	1	8	yes	complemented
69	#547×C₈₉	C₂²	1	4	yes	complemented
70	#547×C₈₉	C₂²	1	2	yes	complemented
71	#547×C₈₉	C₂²	1	2	yes	complemented
72	#547×C₈₉	C₂²	1	2	yes	complemented
73	#547×C₈₉	C₂²	1	4	yes	complemented
74	#546×C₈₉	C₂²	1	8	yes	complemented
75	#546×C₈₉	C₂²	1	4	yes	complemented
76	#546×C₈₉	C₂²	1	8	yes	complemented
77	#546×C₈₉	C₂²	1	4	yes	complemented
78	#546×C₈₉	C₂²	1	4	yes	complemented
79	#546×C₈₉	C₂²	1	4	yes	complemented
80	#546×C₈₉	C₂²	1	8	yes	complemented
81	#546×C₈₉	C₂²	1	4	yes	complemented
82	#546×C₈₉	C₂²	1	8	yes	complemented
83	#546×C₈₉	C₂²	1	4	yes	complemented
84	#546×C₈₉	C₂²	1	8	yes	complemented
85	#546×C₈₉	C₂²	1	8	yes	complemented
86	#546×C₈₉	C₂²	1	8	yes	complemented
87	D₄²×C₈₉	C₂²	1	8	yes	complemented
88	D₄²×C₈₉	C₂²	1	4	yes	complemented
89	D₄²×C₈₉	C₂²	1	2	yes	complemented
90	D₄²×C₈₉	C₂²	1	2	yes	complemented
91	#543×C₈₉	C₂²	1	8	yes	complemented
92	#542×C₈₉	C₂²	1	4	yes	complemented
93	#542×C₈₉	C₂²	1	4	yes	complemented
94	#542×C₈₉	C₂²	1	4	yes	complemented
95	#542×C₈₉	C₂²	1	4	yes	complemented
96	#542×C₈₉	C₂²	1	2	yes	complemented
97	#542×C₈₉	C₂²	1	2	yes	complemented
98	#542×C₈₉	C₂²	1	4	yes	complemented
99	#542×C₈₉	C₂²	1	4	yes	complemented
100	#542×C₈₉	C₂²	1	8	yes	complemented
101	#542×C₈₉	C₂²	1	8	yes	complemented
102	#542×C₈₉	C₂²	1	8	yes	complemented
103	#541×C₈₉	C₂²	1	2	yes	complemented
104	#540×C₈₉	C₂²	1	2	yes	complemented
105	#540×C₈₉	C₂²	1	8	yes	complemented
106	#539×C₈₉	C₂²	1	2	yes	complemented
107	#539×C₈₉	C₂²	1	2	yes	complemented
108	#539×C₈₉	C₂²	1	4	yes	complemented
109	#539×C₈₉	C₂²	1	8	yes	complemented
110	#539×C₈₉	C₂²	1	8	yes	complemented
111	#538×C₈₉	C₂²	1	2	yes	complemented
112	#538×C₈₉	C₂²	1	2	yes	complemented
113	#538×C₈₉	C₂²	1	4	yes	complemented
114	#538×C₈₉	C₂²	1	8	yes	complemented
115	#538×C₈₉	C₂²	1	8	yes	complemented
116	#538×C₈₉	C₂²	1	8	yes	complemented
117	#538×C₈₉	C₂²	1	8	yes	complemented
118	#538×C₈₉	C₂²	1	8	yes	complemented
119	#538×C₈₉	C₂²	1	8	yes	complemented
120	#537×C₈₉	C₂²	1	2	yes	complemented
121	#537×C₈₉	C₂²	1	2	yes	complemented
122	#537×C₈₉	C₂²	1	2	yes	complemented
123	#537×C₈₉	C₂²	1	4	yes	complemented
124	#537×C₈₉	C₂²	1	2	yes	complemented
125	#537×C₈₉	C₂²	1	4	yes	complemented
126	#537×C₈₉	C₂²	1	4	yes	complemented
127	#537×C₈₉	C₂²	1	8	yes	complemented
128	#536×C₈₉	C₂²	1	2	yes	complemented
129	#536×C₈₉	C₂²	1	2	yes	complemented
130	#536×C₈₉	C₂²	1	2	yes	complemented
131	#536×C₈₉	C₂²	1	4	yes	complemented
132	#536×C₈₉	C₂²	1	4	yes	complemented
133	#535×C₈₉	C₂²	1	2	yes	complemented
134	#535×C₈₉	C₂²	1	2	yes	complemented
135	#535×C₈₉	C₂²	1	2	yes	complemented
136	#535×C₈₉	C₂²	1	4	yes	complemented
137	#535×C₈₉	C₂²	1	4	yes	complemented
138	#535×C₈₉	C₂²	1	8	yes	complemented
139	#534×C₈₉	C₂²	1	2	yes	complemented
140	#534×C₈₉	C₂²	1	2	yes	complemented
141	#534×C₈₉	C₂²	1	4	yes	complemented
142	#534×C₈₉	C₂²	1	8	yes	complemented
143	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#533×C₈₉	C₂²	1	4	yes	complemented
145	#532×C₈₉	C₂²	1	1	yes	characteristic
146	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
147	#532×C₈₉	C₂²	1	2	yes	complemented
148	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
149	#532×C₈₉	C₂²	1	4	yes	complemented
150	#532×C₈₉	C₂²	1	4	yes	complemented
151	#532×C₈₉	C₂²	1	4	yes	complemented
152	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
153	#529×C₈₉	C₂²	1	4	yes	complemented
154	#529×C₈₉	C₂²	1	4	yes	complemented
155	#529×C₈₉	C₂²	1	4	yes	complemented
156	C₂×#126×C₈₉	C₂²	1	2	yes	complemented
157	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	C₂×#124×C₈₉	C₂²	1	2	yes	complemented
159	C₂×#124×C₈₉	C₂²	1	4	yes	complemented
160	#525×C₈₉	C₂²	1	4	yes	complemented
161	#525×C₈₉	C₂²	1	4	yes	complemented
162	#525×C₈₉	C₂²	1	2	yes	complemented
163	#525×C₈₉	C₂²	1	4	yes	complemented
164	#525×C₈₉	C₂²	1	4	yes	complemented
165	#525×C₈₉	C₂²	1	4	yes	complemented
166	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
167	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
169	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
170	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
171	C₂×#121×C₈₉	C₂²	1	4	yes	complemented
172	C₂×#121×C₈₉	C₂²	1	4	yes	complemented
173	#520×C₈₉	C₂²	1	2	yes	complemented
174	#520×C₈₉	C₂²	1	2	yes	complemented
175	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
176	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	2₋¹⁺⁴×C₈₉	—	4	8	no	—
180	H(5,𝔽₂)×C₈₉	—	4	8	no	—
181	C₂×#41×C₈₉	—	4	8	no	—
182	C₂×#41×C₈₉	C₂³	1	2	yes	—
183	C₂×#41×C₈₉	C₂³	1	2	yes	—
184	C₂×#41×C₈₉	C₂³	1	2	yes	—
185	C₂×#41×C₈₉	C₂³	1	4	yes	—
186	C₂×#41×C₈₉	C₂³	1	4	yes	—
187	C₂×#41×C₈₉	C₂³	1	4	yes	—
188	C₂×#41×C₈₉	C₂³	1	4	yes	—
189	C₂×#41×C₈₉	C₂³	1	4	yes	—
190	C₂×#41×C₈₉	C₂³	1	8	yes	—
191	C₂×#41×C₈₉	C₂³	1	2	yes	—
192	C₂×#41×C₈₉	C₂³	1	2	yes	—
193	C₂×#41×C₈₉	C₂³	1	4	yes	—
194	C₂×#41×C₈₉	C₂³	1	4	yes	—
195	C₂×#41×C₈₉	C₂³	1	8	yes	—
196	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
197	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
198	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
199	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
200	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
201	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₈₉	C₂³	1	8	yes	—
203	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
204	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
205	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
206	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
207	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
208	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
209	C₂²×D₄×C₈₉	C₂³	1	8	yes	—
210	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
212	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
213	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
214	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
215	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
216	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
217	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
218	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
219	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
220	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
221	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
222	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
224	#127×C₈₉	C₂³	1	1	yes	characteristic
225	#127×C₈₉	C₂³	1	2	yes	—
226	#127×C₈₉	C₂³	1	4	yes	—
227	#127×C₈₉	C₂³	1	1	yes	characteristic
228	#127×C₈₉	C₂³	1	4	yes	—
229	#127×C₈₉	C₂³	1	1	yes	characteristic
230	#127×C₈₉	C₂³	1	8	yes	—
231	#126×C₈₉	C₂³	1	8	yes	—
232	#126×C₈₉	C₂³	1	8	yes	—
233	#126×C₈₉	C₂³	1	4	yes	—
234	#126×C₈₉	C₂³	1	4	yes	—
235	#126×C₈₉	C₂³	1	4	yes	—
236	#126×C₈₉	C₂³	1	4	yes	—
237	#126×C₈₉	C₂³	1	8	yes	—
238	#126×C₈₉	C₂³	1	8	yes	—
239	#126×C₈₉	C₂³	1	8	yes	—
240	#126×C₈₉	C₂³	1	8	yes	—
241	#126×C₈₉	C₂³	1	8	yes	—
242	#125×C₈₉	C₂³	1	4	yes	—
243	#125×C₈₉	C₂³	1	4	yes	—
244	#125×C₈₉	C₂³	1	4	yes	—
245	#125×C₈₉	C₂³	1	8	yes	—
246	#125×C₈₉	C₂³	1	2	yes	—
247	#125×C₈₉	C₂³	1	8	yes	—
248	#124×C₈₉	C₂³	1	4	yes	—
249	#124×C₈₉	C₂³	1	2	yes	—
250	#124×C₈₉	C₂³	1	4	yes	—
251	#124×C₈₉	C₂³	1	4	yes	—
252	#124×C₈₉	C₂³	1	8	yes	—
253	#124×C₈₉	C₂³	1	8	yes	—
254	#124×C₈₉	C₂³	1	4	yes	—
255	#124×C₈₉	C₂³	1	8	yes	—
256	#124×C₈₉	C₂³	1	8	yes	—
257	#124×C₈₉	C₂³	1	4	yes	—
258	#124×C₈₉	C₂³	1	4	yes	—
259	#124×C₈₉	C₂³	1	4	yes	—
260	#124×C₈₉	C₂³	1	2	yes	—
261	#124×C₈₉	C₂³	1	2	yes	—
262	#124×C₈₉	C₂³	1	2	yes	—
263	#124×C₈₉	C₂³	1	8	yes	—
264	#124×C₈₉	C₂³	1	8	yes	—
265	#124×C₈₉	C₂³	1	2	yes	—
266	#124×C₈₉	C₂³	1	8	yes	—
267	#124×C₈₉	C₂³	1	8	yes	—
268	#124×C₈₉	C₂³	1	8	yes	—
269	#124×C₈₉	C₂³	1	8	yes	—
270	#124×C₈₉	C₂³	1	8	yes	—
271	#123×C₈₉	C₂³	1	8	yes	—
272	#123×C₈₉	C₂³	1	8	yes	—
273	#123×C₈₉	C₂³	1	4	yes	—
274	#123×C₈₉	C₂³	1	4	yes	—
275	#123×C₈₉	C₂³	1	4	yes	—
276	#123×C₈₉	C₂³	1	4	yes	—
277	#123×C₈₉	C₂³	1	8	yes	—
278	#123×C₈₉	C₂³	1	8	yes	—
279	#123×C₈₉	C₂³	1	8	yes	—
280	#123×C₈₉	C₂³	1	4	yes	—
281	#123×C₈₉	C₂³	1	8	yes	—
282	#123×C₈₉	C₂³	1	4	yes	—
283	#123×C₈₉	C₂³	1	4	yes	—
284	#123×C₈₉	C₂³	1	4	yes	—
285	#123×C₈₉	C₂³	1	4	yes	—
286	#123×C₈₉	C₂³	1	8	yes	—
287	#123×C₈₉	C₂³	1	8	yes	—
288	#123×C₈₉	C₂³	1	8	yes	—
289	#123×C₈₉	C₂³	1	8	yes	—
290	#123×C₈₉	C₂³	1	8	yes	—
291	#123×C₈₉	C₂³	1	8	yes	—
292	#123×C₈₉	C₂³	1	8	yes	—
293	#123×C₈₉	C₂³	1	8	yes	—
294	#123×C₈₉	C₂³	1	8	yes	—
295	#123×C₈₉	C₂³	1	8	yes	—
296	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
297	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
298	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
299	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
300	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
301	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
302	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
303	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
304	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
305	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
306	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
307	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
308	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
309	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
311	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
312	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
313	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
314	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
315	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
316	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
317	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
318	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
319	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
320	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
321	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
322	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
323	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
324	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
325	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
326	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
327	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
328	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
329	#121×C₈₉	C₂³	1	4	yes	—
330	#121×C₈₉	C₂³	1	4	yes	—
331	#121×C₈₉	C₂³	1	2	yes	—
332	#121×C₈₉	C₂³	1	2	yes	—
333	#121×C₈₉	C₂³	1	2	yes	—
334	#121×C₈₉	C₂³	1	8	yes	—
335	#121×C₈₉	C₂³	1	4	yes	—
336	#121×C₈₉	C₂³	1	4	yes	—
337	#121×C₈₉	C₂³	1	8	yes	—
338	#121×C₈₉	C₂³	1	8	yes	—
339	#121×C₈₉	C₂³	1	4	yes	—
340	#121×C₈₉	C₂³	1	8	yes	—
341	#121×C₈₉	C₂³	1	4	yes	—
342	#121×C₈₉	C₂³	1	2	yes	—
343	#121×C₈₉	C₂³	1	2	yes	—
344	#121×C₈₉	C₂³	1	4	yes	—
345	#121×C₈₉	C₂³	1	4	yes	—
346	#121×C₈₉	C₂³	1	4	yes	—
347	#121×C₈₉	C₂³	1	4	yes	—
348	#121×C₈₉	C₂³	1	4	yes	—
349	#121×C₈₉	C₂³	1	4	yes	—
350	#121×C₈₉	C₂³	1	4	yes	—
351	#121×C₈₉	C₂³	1	2	yes	—
352	#121×C₈₉	C₂³	1	4	yes	—
353	#121×C₈₉	C₂³	1	4	yes	—
354	#121×C₈₉	C₂³	1	2	yes	—
355	#121×C₈₉	C₂³	1	2	yes	—
356	#121×C₈₉	C₂³	1	4	yes	—
357	#121×C₈₉	C₂³	1	4	yes	—
358	#121×C₈₉	C₂³	1	8	yes	—
359	#121×C₈₉	C₂³	1	8	yes	—
360	#121×C₈₉	C₂³	1	8	yes	—
361	#121×C₈₉	C₂³	1	4	yes	—
362	#121×C₈₉	C₂³	1	4	yes	—
363	#121×C₈₉	C₂³	1	8	yes	—
364	#121×C₈₉	C₂³	1	8	yes	—
365	#121×C₈₉	C₂³	1	8	yes	—
366	#121×C₈₉	C₂³	1	8	yes	—
367	#121×C₈₉	C₂³	1	8	yes	—
368	#121×C₈₉	C₂³	1	8	yes	—
369	#121×C₈₉	C₂³	1	8	yes	—
370	#121×C₈₉	C₂³	1	8	yes	—
371	#121×C₈₉	C₂³	1	8	yes	—
372	#121×C₈₉	C₂³	1	8	yes	—
373	#121×C₈₉	C₂³	1	8	yes	—
374	#121×C₈₉	C₂³	1	8	yes	—
375	#120×C₈₉	C₂³	1	4	yes	—
376	#120×C₈₉	C₂³	1	4	yes	—
377	#120×C₈₉	C₂³	1	4	yes	—
378	#120×C₈₉	C₂³	1	8	yes	—
379	#120×C₈₉	C₂³	1	4	yes	—
380	#120×C₈₉	C₂³	1	8	yes	—
381	#120×C₈₉	C₂³	1	4	yes	—
382	#120×C₈₉	C₂³	1	8	yes	—
383	#120×C₈₉	C₂³	1	8	yes	—
384	#120×C₈₉	C₂³	1	8	yes	—
385	#120×C₈₉	C₂³	1	8	yes	—
386	#120×C₈₉	C₂³	1	8	yes	—
387	#120×C₈₉	C₂³	1	8	yes	—
388	#120×C₈₉	C₂³	1	8	yes	—
389	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
390	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
391	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
392	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
393	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
394	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
395	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
396	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
397	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
398	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
399	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
400	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
401	C₄×D₄×C₈₉	C₂³	1	2	yes	—
402	C₄×D₄×C₈₉	C₂³	1	2	yes	—
403	C₄×D₄×C₈₉	C₂³	1	2	yes	—
404	C₄×D₄×C₈₉	C₂³	1	2	yes	—
405	C₄×D₄×C₈₉	C₂³	1	4	yes	—
406	C₄×D₄×C₈₉	C₂³	1	4	yes	—
407	C₄×D₄×C₈₉	C₂³	1	2	yes	—
408	C₄×D₄×C₈₉	C₂³	1	2	yes	—
409	C₄×D₄×C₈₉	C₂³	1	8	yes	—
410	C₄×D₄×C₈₉	C₂³	1	8	yes	—
411	C₄×D₄×C₈₉	C₂³	1	4	yes	—
412	C₄×D₄×C₈₉	C₂³	1	4	yes	—
413	C₄×D₄×C₈₉	C₂³	1	2	yes	—
414	C₄×D₄×C₈₉	C₂³	1	2	yes	—
415	C₄×D₄×C₈₉	C₂³	1	4	yes	—
416	C₄×D₄×C₈₉	C₂³	1	4	yes	—
417	C₄×D₄×C₈₉	C₂³	1	2	yes	—
418	C₄×D₄×C₈₉	C₂³	1	2	yes	—
419	C₄×D₄×C₈₉	C₂³	1	4	yes	—
420	C₄×D₄×C₈₉	C₂³	1	4	yes	—
421	C₄×D₄×C₈₉	C₂³	1	8	yes	—
422	C₄×D₄×C₈₉	C₂³	1	8	yes	—
423	C₄×D₄×C₈₉	C₂³	1	8	yes	—
424	C₄×D₄×C₈₉	C₂³	1	8	yes	—
425	C₄×D₄×C₈₉	C₂³	1	8	yes	—
426	C₄×D₄×C₈₉	C₂³	1	2	yes	—
427	C₄×D₄×C₈₉	C₂³	1	2	yes	—
428	C₄×D₄×C₈₉	C₂³	1	4	yes	—
429	C₄×D₄×C₈₉	C₂³	1	8	yes	—
430	C₄×D₄×C₈₉	C₂³	1	8	yes	—
431	C₄×D₄×C₈₉	C₂³	1	4	yes	—
432	C₄×D₄×C₈₉	C₂³	1	4	yes	—
433	C₄×D₄×C₈₉	C₂³	1	8	yes	—
434	C₄×D₄×C₈₉	C₂³	1	8	yes	—
435	#117×C₈₉	C₂³	1	2	yes	—
436	#117×C₈₉	C₂³	1	2	yes	—
437	#117×C₈₉	C₂³	1	2	yes	—
438	#117×C₈₉	C₂³	1	2	yes	—
439	#117×C₈₉	C₂³	1	2	yes	—
440	#117×C₈₉	C₂³	1	4	yes	—
441	#117×C₈₉	C₂³	1	4	yes	—
442	#117×C₈₉	C₂³	1	4	yes	—
443	#117×C₈₉	C₂³	1	4	yes	—
444	#117×C₈₉	C₂³	1	8	yes	—
445	#117×C₈₉	C₂³	1	8	yes	—
446	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
447	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
448	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
449	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
450	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
451	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
452	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
453	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
454	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
456	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
457	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
459	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
460	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
461	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
462	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
463	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
464	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
465	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
466	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
467	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
468	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
469	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
470	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
471	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
472	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
473	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
474	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
475	C₂⁴×C₈₉	C₂⁴	1	8	yes	—
476	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
477	#41×C₈₉	—	2	8	no	—
478	#41×C₈₉	—	2	8	no	—
479	#41×C₈₉	—	2	8	no	—
480	#41×C₈₉	—	4	8	no	—
481	#41×C₈₉	—	4	8	no	—
482	#41×C₈₉	—	4	16	no	—
483	#41×C₈₉	—	4	4	no	—
484	#41×C₈₉	—	4	4	no	—
485	#41×C₈₉	—	4	8	no	—
486	#41×C₈₉	—	4	8	no	—
487	#41×C₈₉	—	4	8	no	—
488	#41×C₈₉	—	4	8	no	—
489	#41×C₈₉	—	8	4	no	—
490	#41×C₈₉	—	8	8	no	—
491	C₂×Q₈×C₈₉	—	2	4	no	—
492	C₂×Q₈×C₈₉	—	4	4	no	—
493	C₂×Q₈×C₈₉	—	4	8	no	—
494	C₂×Q₈×C₈₉	—	4	8	no	—
495	C₂×Q₈×C₈₉	—	8	2	no	—
496	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
497	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
498	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
499	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
500	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
501	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
502	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
503	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
504	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
505	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
506	C₂×D₄×C₈₉	—	2	4	no	—
507	C₂×D₄×C₈₉	—	4	4	no	—
508	C₂×D₄×C₈₉	—	4	8	no	—
509	C₂×D₄×C₈₉	—	4	8	no	—
510	C₂×D₄×C₈₉	—	4	8	no	—
511	C₂×D₄×C₈₉	—	4	16	no	—
512	C₂×D₄×C₈₉	—	8	4	no	—
513	C₂×D₄×C₈₉	—	8	2	no	—
514	C₂×D₄×C₈₉	—	8	8	no	—
515	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
516	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
517	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
518	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
519	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
520	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
521	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
522	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
523	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
524	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
525	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
526	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
527	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
528	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
529	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
530	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
531	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
532	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
533	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
534	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
535	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
536	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
537	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
538	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
539	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
540	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
541	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
542	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
543	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
544	C₂²×C₄×C₈₉	—	2	4	no	—
545	C₂²×C₄×C₈₉	—	4	8	no	—
546	C₂²×C₄×C₈₉	—	8	2	no	—
547	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
548	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
551	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
553	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
554	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
558	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
560	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
562	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
563	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
564	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
565	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
566	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
567	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
568	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
569	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
573	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
574	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
575	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
576	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
577	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
578	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
579	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
580	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
581	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
582	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
583	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
584	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
586	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
587	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
588	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
589	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
590	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
591	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
593	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
594	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
595	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
597	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
598	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
599	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
600	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
602	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
603	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
604	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
605	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
606	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
607	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
608	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
609	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
610	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
611	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
612	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
613	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
614	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
615	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
616	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
617	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
618	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
619	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
620	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
621	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
622	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
623	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
624	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
625	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
626	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
627	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
628	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
629	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
630	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
631	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
632	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
633	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
634	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
635	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
636	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
637	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
638	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
639	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
640	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
641	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
642	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
643	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
644	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
645	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
646	C₄²×C₈₉	C₂⁴	1	2	yes	—
647	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
648	C₄²×C₈₉	C₂⁴	1	2	yes	—
649	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
650	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
651	C₄²×C₈₉	C₂⁴	1	4	yes	—
652	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
653	C₄²×C₈₉	C₂⁴	1	4	yes	—
654	C₄²×C₈₉	C₂⁴	1	4	yes	—
655	C₄²×C₈₉	C₂⁴	1	4	yes	—
656	C₄²×C₈₉	C₂⁴	1	4	yes	—
657	C₄²×C₈₉	C₂⁴	1	8	yes	—
658	C₄²×C₈₉	C₂⁴	1	8	yes	—
659	C₂³×C₈₉	—	2	2	no	—
660	C₂³×C₈₉	—	2	4	no	—
661	C₂³×C₈₉	—	4	4	no	—
662	C₂³×C₈₉	—	4	2	no	—
663	C₂³×C₈₉	—	4	1	no	—
664	C₂³×C₈₉	—	4	4	no	—
665	C₂³×C₈₉	—	4	1	no	—
666	C₂³×C₈₉	—	4	2	no	—
667	C₂³×C₈₉	—	4	4	no	—
668	C₂³×C₈₉	—	4	8	no	—
669	C₂³×C₈₉	—	4	8	no	—
670	C₂³×C₈₉	—	4	8	no	—
671	C₂³×C₈₉	C₂⁵	1	2	yes	—
672	C₂³×C₈₉	C₂⁵	1	4	yes	—
673	C₂³×C₈₉	C₂⁵	1	4	yes	—
674	C₂³×C₈₉	C₂⁵	1	4	yes	—
675	C₂³×C₈₉	C₂⁵	1	4	yes	—
676	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
677	Q₈×C₈₉	—	2	4	no	—
678	Q₈×C₈₉	—	2	4	no	—
679	Q₈×C₈₉	—	2	4	no	—
680	Q₈×C₈₉	—	2	4	no	—
681	Q₈×C₈₉	—	2	4	no	—
682	Q₈×C₈₉	—	4	8	no	—
683	Q₈×C₈₉	—	4	4	no	—
684	Q₈×C₈₉	—	4	8	no	—
685	Q₈×C₈₉	—	4	2	no	—
686	Q₈×C₈₉	—	4	2	no	—
687	D₄×C₈₉	—	2	8	no	—
688	D₄×C₈₉	—	2	8	no	—
689	D₄×C₈₉	—	2	8	no	—
690	D₄×C₈₉	—	2	4	no	—
691	D₄×C₈₉	—	2	4	no	—
692	D₄×C₈₉	—	2	4	no	—
693	D₄×C₈₉	—	2	4	no	—
694	D₄×C₈₉	—	2	4	no	—
695	D₄×C₈₉	—	4	8	no	—
696	D₄×C₈₉	—	4	8	no	—
697	D₄×C₈₉	—	4	4	no	—
698	D₄×C₈₉	—	4	4	no	—
699	D₄×C₈₉	—	4	4	no	—
700	D₄×C₈₉	—	4	2	no	—
701	D₄×C₈₉	—	4	2	no	—
702	D₄×C₈₉	—	4	4	no	—
703	D₄×C₈₉	—	4	8	no	—
704	D₄×C₈₉	—	4	8	no	—
705	D₄×C₈₉	—	4	8	no	—
706	D₄×C₈₉	—	4	8	no	—
707	D₄×C₈₉	—	4	4	no	—
708	D₄×C₈₉	—	4	2	no	—
709	D₄×C₈₉	—	4	2	no	—
710	D₄×C₈₉	—	4	4	no	—
711	D₄×C₈₉	—	4	8	no	—
712	D₄×C₈₉	—	4	2	no	—
713	D₄×C₈₉	—	4	8	no	—
714	D₄×C₈₉	—	4	2	no	—
715	D₄×C₈₉	—	4	4	no	—
716	C₂×C₄×C₈₉	—	2	2	no	—
717	C₂×C₄×C₈₉	—	2	4	no	—
718	C₂×C₄×C₈₉	—	2	4	no	—
719	C₂×C₄×C₈₉	—	2	4	no	—
720	C₂×C₄×C₈₉	—	2	8	no	—
721	C₂×C₄×C₈₉	—	2	8	no	—
722	C₂×C₄×C₈₉	—	2	8	no	—
723	C₂×C₄×C₈₉	—	4	4	no	—
724	C₂×C₄×C₈₉	—	4	4	no	—
725	C₂×C₄×C₈₉	—	4	4	no	—
726	C₂×C₄×C₈₉	—	4	1	no	—
727	C₂×C₄×C₈₉	—	4	4	no	—
728	C₂×C₄×C₈₉	—	4	2	no	—
729	C₂×C₄×C₈₉	—	4	4	no	—
730	C₂×C₄×C₈₉	—	4	1	no	—
731	C₂×C₄×C₈₉	—	4	4	no	—
732	C₂×C₄×C₈₉	—	4	1	no	—
733	C₂×C₄×C₈₉	—	4	8	no	—
734	C₂×C₄×C₈₉	—	4	2	no	—
735	C₂×C₄×C₈₉	—	4	8	no	—
736	C₂×C₄×C₈₉	—	4	8	no	—
737	C₂×C₄×C₈₉	—	4	8	no	—
738	C₂×C₄×C₈₉	—	4	1	no	—
739	C₂×C₄×C₈₉	—	4	8	no	—
740	C₂×C₄×C₈₉	—	4	4	no	—
741	C₂×C₄×C₈₉	H(5,𝔽₂)	1	4	yes	—
742	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
743	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
744	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
745	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
746	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
747	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
748	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
749	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
750	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
751	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
752	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
753	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
754	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
755	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
756	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
757	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
758	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
759	C₂²×C₈₉	—	2	1	no	—
760	C₂²×C₈₉	—	2	1	no	—
761	C₂²×C₈₉	—	2	2	no	—
762	C₂²×C₈₉	—	2	4	no	—
763	C₂²×C₈₉	—	2	4	no	—
764	C₂²×C₈₉	—	2	4	no	—
765	C₂²×C₈₉	—	2	4	no	—
766	C₂²×C₈₉	—	2	4	no	—
767	C₂²×C₈₉	—	2	4	no	—
768	C₂²×C₈₉	—	2	4	no	—
769	C₂²×C₈₉	—	2	4	no	—
770	C₂²×C₈₉	—	2	2	no	—
771	C₂²×C₈₉	—	2	4	no	—
772	C₂²×C₈₉	—	2	4	no	—
773	C₂²×C₈₉	—	2	2	no	—
774	C₂²×C₈₉	—	2	4	no	—
775	C₂²×C₈₉	—	2	4	no	—
776	C₂²×C₈₉	—	8	2	no	—
777	C₂²×C₈₉	—	8	4	no	—
778	C₂²×C₈₉	—	8	8	no	—
779	C₂²×C₈₉	—	16	8	no	—
780	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
782	C₄×C₈₉	—	2	2	no	—
783	C₄×C₈₉	—	2	4	no	—
784	C₄×C₈₉	—	2	4	no	—
785	C₄×C₈₉	—	2	4	no	—
786	C₄×C₈₉	—	2	4	no	—
787	C₄×C₈₉	—	2	1	no	—
788	C₄×C₈₉	—	2	4	no	—
789	C₄×C₈₉	—	2	1	no	—
790	C₄×C₈₉	—	2	4	no	—
791	C₄×C₈₉	—	2	4	no	—
792	C₄×C₈₉	—	2	2	no	—
793	C₄×C₈₉	—	2	2	no	—
794	C₄×C₈₉	—	2	1	no	—
795	C₄×C₈₉	—	2	4	no	—
796	C₄×C₈₉	—	2	1	no	—
797	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
798	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
799	#62878	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
800	C₂×C₈₉	—	2	2	no	—
801	C₂×C₈₉	—	4	4	no	—
802	C₂×C₈₉	—	4	2	no	—
803	C₂×C₈₉	—	4	4	no	—
804	C₂×C₈₉	—	4	4	no	—
805	C₂×C₈₉	—	4	4	no	—
806	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
807	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
808	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
809	#3561	C₂×C₈₉	1	4	yes	complemented
810	#3560	C₂×C₈₉	1	4	yes	complemented
811	#3558	C₂×C₈₉	1	4	yes	complemented
812	#3558	C₂×C₈₉	1	4	yes	complemented
813	#3554	C₂×C₈₉	1	4	yes	complemented
814	#3546	C₂×C₈₉	1	4	yes	complemented
815	#3542	C₂×C₈₉	1	4	yes	complemented
816	#3541	C₂×C₈₉	1	4	yes	complemented
817	#3540	C₂×C₈₉	1	4	yes	complemented
818	#3536	C₂×C₈₉	1	4	yes	complemented
819	#3536	C₂×C₈₉	1	4	yes	complemented
820	#3534	C₂×C₈₉	1	4	yes	complemented
821	#3511	C₂×C₈₉	1	2	yes	complemented
822	#3507	C₂×C₈₉	1	1	yes	characteristic, complemented
823	#3506	C₂×C₈₉	1	1	yes	characteristic, complemented
824	#3500	C₂×C₈₉	1	2	yes	complemented
825	#3497	C₂×C₈₉	1	1	yes	characteristic, complemented
826	#3496	C₂×C₈₉	1	1	yes	characteristic, complemented
827	#3489	C₂×C₈₉	1	2	yes	complemented
828	#3488	C₂×C₈₉	1	2	yes	complemented
829	#3455	C₂×C₈₉	1	1	yes	characteristic, complemented
830	C₂×#542	C₂×C₈₉	1	1	yes	characteristic, complemented
831	#3449	C₂×C₈₉	1	1	yes	characteristic, complemented
832	C₈₉	#62878	1	1	yes	characteristic, direct product factor, Sylow
833	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	2	yes	complemented
834	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	2	yes	complemented
835	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
836	#563	C₂²×C₈₉	1	8	yes	complemented
837	#562	C₂²×C₈₉	1	8	yes	complemented
838	#562	C₂²×C₈₉	1	8	yes	complemented
839	#562	C₂²×C₈₉	1	8	yes	complemented
840	#562	C₂²×C₈₉	1	8	yes	complemented
841	H(3,𝔽₄)	C₂²×C₈₉	1	8	yes	complemented
842	#560	C₂²×C₈₉	1	8	yes	complemented
843	#560	C₂²×C₈₉	1	8	yes	complemented
844	#559	C₂²×C₈₉	1	4	yes	complemented
845	#559	C₂²×C₈₉	1	2	yes	complemented
846	#559	C₂²×C₈₉	1	8	yes	complemented
847	#557	C₂²×C₈₉	1	2	yes	complemented
848	#556	C₂²×C₈₉	1	2	yes	complemented
849	#556	C₂²×C₈₉	1	2	yes	complemented
850	#556	C₂²×C₈₉	1	4	yes	complemented
851	#556	C₂²×C₈₉	1	4	yes	complemented
852	#555	C₂²×C₈₉	1	2	yes	complemented
853	#555	C₂²×C₈₉	1	4	yes	complemented
854	#554	C₂²×C₈₉	1	2	yes	complemented
855	#554	C₂²×C₈₉	1	4	yes	complemented
856	#554	C₂²×C₈₉	1	8	yes	complemented
857	#553	C₂²×C₈₉	1	4	yes	complemented
858	#553	C₂²×C₈₉	1	8	yes	complemented
859	#553	C₂²×C₈₉	1	8	yes	complemented
860	#552	C₂²×C₈₉	1	4	yes	complemented
861	#551	C₂²×C₈₉	1	8	yes	complemented
862	#551	C₂²×C₈₉	1	8	yes	complemented
863	#550	C₂²×C₈₉	1	4	yes	complemented
864	#550	C₂²×C₈₉	1	2	yes	complemented
865	#550	C₂²×C₈₉	1	2	yes	complemented
866	#550	C₂²×C₈₉	1	2	yes	complemented
867	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
868	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
869	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
870	#548	C₂²×C₈₉	1	4	yes	complemented
871	#548	C₂²×C₈₉	1	4	yes	complemented
872	#548	C₂²×C₈₉	1	4	yes	complemented
873	#548	C₂²×C₈₉	1	4	yes	complemented
874	#548	C₂²×C₈₉	1	4	yes	complemented
875	#548	C₂²×C₈₉	1	4	yes	complemented
876	#548	C₂²×C₈₉	1	8	yes	complemented
877	#547	C₂²×C₈₉	1	8	yes	complemented
878	#547	C₂²×C₈₉	1	4	yes	complemented
879	#547	C₂²×C₈₉	1	2	yes	complemented
880	#547	C₂²×C₈₉	1	2	yes	complemented
881	#547	C₂²×C₈₉	1	2	yes	complemented
882	#547	C₂²×C₈₉	1	4	yes	complemented
883	#546	C₂²×C₈₉	1	8	yes	complemented
884	#546	C₂²×C₈₉	1	4	yes	complemented
885	#546	C₂²×C₈₉	1	8	yes	complemented
886	#546	C₂²×C₈₉	1	4	yes	complemented
887	#546	C₂²×C₈₉	1	4	yes	complemented
888	#546	C₂²×C₈₉	1	4	yes	complemented
889	#546	C₂²×C₈₉	1	8	yes	complemented
890	#546	C₂²×C₈₉	1	4	yes	complemented
891	#546	C₂²×C₈₉	1	8	yes	complemented
892	#546	C₂²×C₈₉	1	4	yes	complemented
893	#546	C₂²×C₈₉	1	8	yes	complemented
894	#546	C₂²×C₈₉	1	8	yes	complemented
895	#546	C₂²×C₈₉	1	8	yes	complemented
896	D₄²	C₂²×C₈₉	1	8	yes	complemented
897	D₄²	C₂²×C₈₉	1	4	yes	complemented
898	D₄²	C₂²×C₈₉	1	2	yes	complemented
899	D₄²	C₂²×C₈₉	1	2	yes	complemented
900	#543	C₂²×C₈₉	1	8	yes	complemented
901	#542	C₂²×C₈₉	1	4	yes	complemented
902	#542	C₂²×C₈₉	1	4	yes	complemented
903	#542	C₂²×C₈₉	1	4	yes	complemented
904	#542	C₂²×C₈₉	1	4	yes	complemented
905	#542	C₂²×C₈₉	1	2	yes	complemented
906	#542	C₂²×C₈₉	1	2	yes	complemented
907	#542	C₂²×C₈₉	1	4	yes	complemented
908	#542	C₂²×C₈₉	1	4	yes	complemented
909	#542	C₂²×C₈₉	1	8	yes	complemented
910	#542	C₂²×C₈₉	1	8	yes	complemented
911	#542	C₂²×C₈₉	1	8	yes	complemented
912	#541	C₂²×C₈₉	1	2	yes	complemented
913	#540	C₂²×C₈₉	1	2	yes	complemented
914	#540	C₂²×C₈₉	1	8	yes	complemented
915	#539	C₂²×C₈₉	1	2	yes	complemented
916	#539	C₂²×C₈₉	1	2	yes	complemented
917	#539	C₂²×C₈₉	1	4	yes	complemented
918	#539	C₂²×C₈₉	1	8	yes	complemented
919	#539	C₂²×C₈₉	1	8	yes	complemented
920	#538	C₂²×C₈₉	1	2	yes	complemented
921	#538	C₂²×C₈₉	1	2	yes	complemented
922	#538	C₂²×C₈₉	1	4	yes	complemented
923	#538	C₂²×C₈₉	1	8	yes	complemented
924	#538	C₂²×C₈₉	1	8	yes	complemented
925	#538	C₂²×C₈₉	1	8	yes	complemented
926	#538	C₂²×C₈₉	1	8	yes	complemented
927	#538	C₂²×C₈₉	1	8	yes	complemented
928	#538	C₂²×C₈₉	1	8	yes	complemented
929	#537	C₂²×C₈₉	1	2	yes	complemented
930	#537	C₂²×C₈₉	1	2	yes	complemented
931	#537	C₂²×C₈₉	1	2	yes	complemented
932	#537	C₂²×C₈₉	1	4	yes	complemented
933	#537	C₂²×C₈₉	1	2	yes	complemented
934	#537	C₂²×C₈₉	1	4	yes	complemented
935	#537	C₂²×C₈₉	1	4	yes	complemented
936	#537	C₂²×C₈₉	1	8	yes	complemented
937	#536	C₂²×C₈₉	1	2	yes	complemented
938	#536	C₂²×C₈₉	1	2	yes	complemented
939	#536	C₂²×C₈₉	1	2	yes	complemented
940	#536	C₂²×C₈₉	1	4	yes	complemented
941	#536	C₂²×C₈₉	1	4	yes	complemented
942	#535	C₂²×C₈₉	1	2	yes	complemented
943	#535	C₂²×C₈₉	1	2	yes	complemented
944	#535	C₂²×C₈₉	1	2	yes	complemented
945	#535	C₂²×C₈₉	1	4	yes	complemented
946	#535	C₂²×C₈₉	1	4	yes	complemented
947	#535	C₂²×C₈₉	1	8	yes	complemented
948	#534	C₂²×C₈₉	1	2	yes	complemented
949	#534	C₂²×C₈₉	1	2	yes	complemented
950	#534	C₂²×C₈₉	1	4	yes	complemented
951	#534	C₂²×C₈₉	1	8	yes	complemented
952	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
953	#533	C₂²×C₈₉	1	4	yes	complemented
954	#532	C₂²×C₈₉	1	1	yes	characteristic
955	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#532	C₂²×C₈₉	1	2	yes	complemented
957	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
958	#532	C₂²×C₈₉	1	4	yes	complemented
959	#532	C₂²×C₈₉	1	4	yes	complemented
960	#532	C₂²×C₈₉	1	4	yes	complemented
961	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
962	#529	C₂²×C₈₉	1	4	yes	complemented
963	#529	C₂²×C₈₉	1	4	yes	complemented
964	#529	C₂²×C₈₉	1	4	yes	complemented
965	C₂×#126	C₂²×C₈₉	1	2	yes	complemented
966	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
967	C₂×#124	C₂²×C₈₉	1	2	yes	complemented
968	C₂×#124	C₂²×C₈₉	1	4	yes	complemented
969	#525	C₂²×C₈₉	1	4	yes	complemented
970	#525	C₂²×C₈₉	1	4	yes	complemented
971	#525	C₂²×C₈₉	1	2	yes	complemented
972	#525	C₂²×C₈₉	1	4	yes	complemented
973	#525	C₂²×C₈₉	1	4	yes	complemented
974	#525	C₂²×C₈₉	1	4	yes	complemented
975	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
976	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
978	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
979	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
980	C₂×#121	C₂²×C₈₉	1	4	yes	complemented
981	C₂×#121	C₂²×C₈₉	1	4	yes	complemented
982	#520	C₂²×C₈₉	1	2	yes	complemented
983	#520	C₂²×C₈₉	1	2	yes	complemented
984	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
985	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	2₋¹⁺⁴	—	4	8	no	—
989	H(5,𝔽₂)	—	4	8	no	—
990	C₂×#41	—	4	8	no	—
991	C₂×#41	C₂³×C₈₉	1	2	yes	—
992	C₂×#41	C₂³×C₈₉	1	2	yes	—
993	C₂×#41	C₂³×C₈₉	1	2	yes	—
994	C₂×#41	C₂³×C₈₉	1	4	yes	—
995	C₂×#41	C₂³×C₈₉	1	4	yes	—
996	C₂×#41	C₂³×C₈₉	1	4	yes	—
997	C₂×#41	C₂³×C₈₉	1	4	yes	—
998	C₂×#41	C₂³×C₈₉	1	4	yes	—
999	C₂×#41	C₂³×C₈₉	1	8	yes	—
1000	C₂×#41	C₂³×C₈₉	1	2	yes	—
1001	C₂×#41	C₂³×C₈₉	1	2	yes	—
1002	C₂×#41	C₂³×C₈₉	1	4	yes	—
1003	C₂×#41	C₂³×C₈₉	1	4	yes	—
1004	C₂×#41	C₂³×C₈₉	1	8	yes	—
1005	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1006	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1007	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1008	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1009	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1010	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1011	C₂²×D₄	C₂³×C₈₉	1	8	yes	—
1012	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1013	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1014	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1015	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1016	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1017	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1018	C₂²×D₄	C₂³×C₈₉	1	8	yes	—
1019	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1020	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1021	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1022	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1023	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1024	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1025	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1026	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1027	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1029	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1030	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1031	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1032	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1033	#127	C₂³×C₈₉	1	1	yes	characteristic
1034	#127	C₂³×C₈₉	1	2	yes	—
1035	#127	C₂³×C₈₉	1	4	yes	—
1036	#127	C₂³×C₈₉	1	1	yes	characteristic
1037	#127	C₂³×C₈₉	1	4	yes	—
1038	#127	C₂³×C₈₉	1	1	yes	characteristic
1039	#127	C₂³×C₈₉	1	8	yes	—
1040	#126	C₂³×C₈₉	1	8	yes	—
1041	#126	C₂³×C₈₉	1	8	yes	—
1042	#126	C₂³×C₈₉	1	4	yes	—
1043	#126	C₂³×C₈₉	1	4	yes	—
1044	#126	C₂³×C₈₉	1	4	yes	—
1045	#126	C₂³×C₈₉	1	4	yes	—
1046	#126	C₂³×C₈₉	1	8	yes	—
1047	#126	C₂³×C₈₉	1	8	yes	—
1048	#126	C₂³×C₈₉	1	8	yes	—
1049	#126	C₂³×C₈₉	1	8	yes	—
1050	#126	C₂³×C₈₉	1	8	yes	—
1051	#125	C₂³×C₈₉	1	4	yes	—
1052	#125	C₂³×C₈₉	1	4	yes	—
1053	#125	C₂³×C₈₉	1	4	yes	—
1054	#125	C₂³×C₈₉	1	8	yes	—
1055	#125	C₂³×C₈₉	1	2	yes	—
1056	#125	C₂³×C₈₉	1	8	yes	—
1057	#124	C₂³×C₈₉	1	4	yes	—
1058	#124	C₂³×C₈₉	1	2	yes	—
1059	#124	C₂³×C₈₉	1	4	yes	—
1060	#124	C₂³×C₈₉	1	4	yes	—
1061	#124	C₂³×C₈₉	1	8	yes	—
1062	#124	C₂³×C₈₉	1	8	yes	—
1063	#124	C₂³×C₈₉	1	4	yes	—
1064	#124	C₂³×C₈₉	1	8	yes	—
1065	#124	C₂³×C₈₉	1	8	yes	—
1066	#124	C₂³×C₈₉	1	4	yes	—
1067	#124	C₂³×C₈₉	1	4	yes	—
1068	#124	C₂³×C₈₉	1	4	yes	—
1069	#124	C₂³×C₈₉	1	2	yes	—
1070	#124	C₂³×C₈₉	1	2	yes	—
1071	#124	C₂³×C₈₉	1	2	yes	—
1072	#124	C₂³×C₈₉	1	8	yes	—
1073	#124	C₂³×C₈₉	1	8	yes	—
1074	#124	C₂³×C₈₉	1	2	yes	—
1075	#124	C₂³×C₈₉	1	8	yes	—
1076	#124	C₂³×C₈₉	1	8	yes	—
1077	#124	C₂³×C₈₉	1	8	yes	—
1078	#124	C₂³×C₈₉	1	8	yes	—
1079	#124	C₂³×C₈₉	1	8	yes	—
1080	#123	C₂³×C₈₉	1	8	yes	—
1081	#123	C₂³×C₈₉	1	8	yes	—
1082	#123	C₂³×C₈₉	1	4	yes	—
1083	#123	C₂³×C₈₉	1	4	yes	—
1084	#123	C₂³×C₈₉	1	4	yes	—
1085	#123	C₂³×C₈₉	1	4	yes	—
1086	#123	C₂³×C₈₉	1	8	yes	—
1087	#123	C₂³×C₈₉	1	8	yes	—
1088	#123	C₂³×C₈₉	1	8	yes	—
1089	#123	C₂³×C₈₉	1	4	yes	—
1090	#123	C₂³×C₈₉	1	8	yes	—
1091	#123	C₂³×C₈₉	1	4	yes	—
1092	#123	C₂³×C₈₉	1	4	yes	—
1093	#123	C₂³×C₈₉	1	4	yes	—
1094	#123	C₂³×C₈₉	1	4	yes	—
1095	#123	C₂³×C₈₉	1	8	yes	—
1096	#123	C₂³×C₈₉	1	8	yes	—
1097	#123	C₂³×C₈₉	1	8	yes	—
1098	#123	C₂³×C₈₉	1	8	yes	—
1099	#123	C₂³×C₈₉	1	8	yes	—
1100	#123	C₂³×C₈₉	1	8	yes	—
1101	#123	C₂³×C₈₉	1	8	yes	—
1102	#123	C₂³×C₈₉	1	8	yes	—
1103	#123	C₂³×C₈₉	1	8	yes	—
1104	#123	C₂³×C₈₉	1	8	yes	—
1105	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1106	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1107	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1108	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1109	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1110	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1111	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1112	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1113	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1114	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1115	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1116	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1117	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1118	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1119	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1120	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1121	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1122	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1123	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1124	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1125	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1126	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1127	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1128	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1129	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1130	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1131	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1132	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1133	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1134	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1135	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1136	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1137	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1138	#121	C₂³×C₈₉	1	4	yes	—
1139	#121	C₂³×C₈₉	1	4	yes	—
1140	#121	C₂³×C₈₉	1	2	yes	—
1141	#121	C₂³×C₈₉	1	2	yes	—
1142	#121	C₂³×C₈₉	1	2	yes	—
1143	#121	C₂³×C₈₉	1	8	yes	—
1144	#121	C₂³×C₈₉	1	4	yes	—
1145	#121	C₂³×C₈₉	1	4	yes	—
1146	#121	C₂³×C₈₉	1	8	yes	—
1147	#121	C₂³×C₈₉	1	8	yes	—
1148	#121	C₂³×C₈₉	1	4	yes	—
1149	#121	C₂³×C₈₉	1	8	yes	—
1150	#121	C₂³×C₈₉	1	4	yes	—
1151	#121	C₂³×C₈₉	1	2	yes	—
1152	#121	C₂³×C₈₉	1	2	yes	—
1153	#121	C₂³×C₈₉	1	4	yes	—
1154	#121	C₂³×C₈₉	1	4	yes	—
1155	#121	C₂³×C₈₉	1	4	yes	—
1156	#121	C₂³×C₈₉	1	4	yes	—
1157	#121	C₂³×C₈₉	1	4	yes	—
1158	#121	C₂³×C₈₉	1	4	yes	—
1159	#121	C₂³×C₈₉	1	4	yes	—
1160	#121	C₂³×C₈₉	1	2	yes	—
1161	#121	C₂³×C₈₉	1	4	yes	—
1162	#121	C₂³×C₈₉	1	4	yes	—
1163	#121	C₂³×C₈₉	1	2	yes	—
1164	#121	C₂³×C₈₉	1	2	yes	—
1165	#121	C₂³×C₈₉	1	4	yes	—
1166	#121	C₂³×C₈₉	1	4	yes	—
1167	#121	C₂³×C₈₉	1	8	yes	—
1168	#121	C₂³×C₈₉	1	8	yes	—
1169	#121	C₂³×C₈₉	1	8	yes	—
1170	#121	C₂³×C₈₉	1	4	yes	—
1171	#121	C₂³×C₈₉	1	4	yes	—
1172	#121	C₂³×C₈₉	1	8	yes	—
1173	#121	C₂³×C₈₉	1	8	yes	—
1174	#121	C₂³×C₈₉	1	8	yes	—
1175	#121	C₂³×C₈₉	1	8	yes	—
1176	#121	C₂³×C₈₉	1	8	yes	—
1177	#121	C₂³×C₈₉	1	8	yes	—
1178	#121	C₂³×C₈₉	1	8	yes	—
1179	#121	C₂³×C₈₉	1	8	yes	—
1180	#121	C₂³×C₈₉	1	8	yes	—
1181	#121	C₂³×C₈₉	1	8	yes	—
1182	#121	C₂³×C₈₉	1	8	yes	—
1183	#121	C₂³×C₈₉	1	8	yes	—
1184	#120	C₂³×C₈₉	1	4	yes	—
1185	#120	C₂³×C₈₉	1	4	yes	—
1186	#120	C₂³×C₈₉	1	4	yes	—
1187	#120	C₂³×C₈₉	1	8	yes	—
1188	#120	C₂³×C₈₉	1	4	yes	—
1189	#120	C₂³×C₈₉	1	8	yes	—
1190	#120	C₂³×C₈₉	1	4	yes	—
1191	#120	C₂³×C₈₉	1	8	yes	—
1192	#120	C₂³×C₈₉	1	8	yes	—
1193	#120	C₂³×C₈₉	1	8	yes	—
1194	#120	C₂³×C₈₉	1	8	yes	—
1195	#120	C₂³×C₈₉	1	8	yes	—
1196	#120	C₂³×C₈₉	1	8	yes	—
1197	#120	C₂³×C₈₉	1	8	yes	—
1198	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1199	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1200	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1201	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1202	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1203	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1204	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1205	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1206	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1207	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1208	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1209	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1210	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1211	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1212	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1213	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1214	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1215	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1216	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1217	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1218	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1219	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1220	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1221	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1222	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1223	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1224	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1225	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1226	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1227	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1228	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1229	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1230	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1231	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1232	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1233	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1234	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1235	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1236	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1237	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1238	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1239	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1240	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1241	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1242	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1243	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1244	#117	C₂³×C₈₉	1	2	yes	—
1245	#117	C₂³×C₈₉	1	2	yes	—
1246	#117	C₂³×C₈₉	1	2	yes	—
1247	#117	C₂³×C₈₉	1	2	yes	—
1248	#117	C₂³×C₈₉	1	2	yes	—
1249	#117	C₂³×C₈₉	1	4	yes	—
1250	#117	C₂³×C₈₉	1	4	yes	—
1251	#117	C₂³×C₈₉	1	4	yes	—
1252	#117	C₂³×C₈₉	1	4	yes	—
1253	#117	C₂³×C₈₉	1	8	yes	—
1254	#117	C₂³×C₈₉	1	8	yes	—
1255	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1257	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1260	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1261	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1262	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1263	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1264	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1265	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1266	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1268	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1269	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1270	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1271	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1272	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1273	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1274	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1275	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1276	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1277	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1278	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1279	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1280	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1281	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1282	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1283	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1284	C₂⁴	C₂⁴×C₈₉	1	8	yes	—
1285	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1286	#41	—	2	8	no	—
1287	#41	—	2	8	no	—
1288	#41	—	2	8	no	—
1289	#41	—	4	8	no	—
1290	#41	—	4	8	no	—
1291	#41	—	4	16	no	—
1292	#41	—	4	4	no	—
1293	#41	—	4	4	no	—
1294	#41	—	4	8	no	—
1295	#41	—	4	8	no	—
1296	#41	—	4	8	no	—
1297	#41	—	4	8	no	—
1298	#41	—	8	4	no	—
1299	#41	—	8	8	no	—
1300	C₂×Q₈	—	2	4	no	—
1301	C₂×Q₈	—	4	4	no	—
1302	C₂×Q₈	—	4	8	no	—
1303	C₂×Q₈	—	4	8	no	—
1304	C₂×Q₈	—	8	2	no	—
1305	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1306	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1307	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1308	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1309	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1310	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1311	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1312	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1313	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1314	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1315	C₂×D₄	—	2	4	no	—
1316	C₂×D₄	—	4	4	no	—
1317	C₂×D₄	—	4	8	no	—
1318	C₂×D₄	—	4	8	no	—
1319	C₂×D₄	—	4	8	no	—
1320	C₂×D₄	—	4	16	no	—
1321	C₂×D₄	—	8	4	no	—
1322	C₂×D₄	—	8	2	no	—
1323	C₂×D₄	—	8	8	no	—
1324	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1325	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1326	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1327	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1328	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1329	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1330	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1331	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1332	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1333	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1334	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1335	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1336	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1337	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1338	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1339	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1340	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1341	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1342	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1343	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1344	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1345	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1346	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1347	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1348	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1349	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1350	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1351	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1352	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1353	C₂²×C₄	—	2	4	no	—
1354	C₂²×C₄	—	4	8	no	—
1355	C₂²×C₄	—	8	2	no	—
1356	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1357	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1358	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1360	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1361	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1362	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1363	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1367	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1368	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1369	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1371	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1372	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1373	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1374	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1375	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1376	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1377	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1378	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1379	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1380	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1381	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1382	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1383	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1384	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1385	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1386	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1387	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1388	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1390	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1391	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1392	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1393	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1394	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1395	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1396	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1397	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1398	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1399	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1400	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1401	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1402	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1403	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1404	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1405	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1406	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1407	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1408	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1409	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1410	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1411	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1412	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1413	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1414	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1415	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1416	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1417	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1418	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1419	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1421	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1422	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1424	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1425	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1426	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1427	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1428	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1431	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1432	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1433	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1434	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1435	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1436	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1437	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1438	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1439	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1440	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1441	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1442	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1443	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1444	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1445	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1446	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1447	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1448	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1449	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1450	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1451	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1452	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1453	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1454	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1455	C₄²	C₂⁴×C₈₉	1	2	yes	—
1456	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1457	C₄²	C₂⁴×C₈₉	1	2	yes	—
1458	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₈₉	1	4	yes	—
1461	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1462	C₄²	C₂⁴×C₈₉	1	4	yes	—
1463	C₄²	C₂⁴×C₈₉	1	4	yes	—
1464	C₄²	C₂⁴×C₈₉	1	4	yes	—
1465	C₄²	C₂⁴×C₈₉	1	4	yes	—
1466	C₄²	C₂⁴×C₈₉	1	8	yes	—
1467	C₄²	C₂⁴×C₈₉	1	8	yes	—
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	4	no	—
1470	C₂³	—	4	4	no	—
1471	C₂³	—	4	2	no	—
1472	C₂³	—	4	1	no	—
1473	C₂³	—	4	4	no	—
1474	C₂³	—	4	1	no	—
1475	C₂³	—	4	2	no	—
1476	C₂³	—	4	4	no	—
1477	C₂³	—	4	8	no	—
1478	C₂³	—	4	8	no	—
1479	C₂³	—	4	8	no	—
1480	C₂³	C₂⁵×C₈₉	1	2	yes	—
1481	C₂³	C₂⁵×C₈₉	1	4	yes	—
1482	C₂³	C₂⁵×C₈₉	1	4	yes	—
1483	C₂³	C₂⁵×C₈₉	1	4	yes	—
1484	C₂³	C₂⁵×C₈₉	1	4	yes	—
1485	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1486	Q₈	—	2	4	no	—
1487	Q₈	—	2	4	no	—
1488	Q₈	—	2	4	no	—
1489	Q₈	—	2	4	no	—
1490	Q₈	—	2	4	no	—
1491	Q₈	—	4	8	no	—
1492	Q₈	—	4	4	no	—
1493	Q₈	—	4	8	no	—
1494	Q₈	—	4	2	no	—
1495	Q₈	—	4	2	no	—
1496	D₄	—	2	8	no	—
1497	D₄	—	2	8	no	—
1498	D₄	—	2	8	no	—
1499	D₄	—	2	4	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	2	4	no	—
1503	D₄	—	2	4	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	4	8	no	—
1506	D₄	—	4	4	no	—
1507	D₄	—	4	4	no	—
1508	D₄	—	4	4	no	—
1509	D₄	—	4	2	no	—
1510	D₄	—	4	2	no	—
1511	D₄	—	4	4	no	—
1512	D₄	—	4	8	no	—
1513	D₄	—	4	8	no	—
1514	D₄	—	4	8	no	—
1515	D₄	—	4	8	no	—
1516	D₄	—	4	4	no	—
1517	D₄	—	4	2	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	4	4	no	—
1520	D₄	—	4	8	no	—
1521	D₄	—	4	2	no	—
1522	D₄	—	4	8	no	—
1523	D₄	—	4	2	no	—
1524	D₄	—	4	4	no	—
1525	C₂×C₄	—	2	2	no	—
1526	C₂×C₄	—	2	4	no	—
1527	C₂×C₄	—	2	4	no	—
1528	C₂×C₄	—	2	4	no	—
1529	C₂×C₄	—	2	8	no	—
1530	C₂×C₄	—	2	8	no	—
1531	C₂×C₄	—	2	8	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	4	no	—
1535	C₂×C₄	—	4	1	no	—
1536	C₂×C₄	—	4	4	no	—
1537	C₂×C₄	—	4	2	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	1	no	—
1540	C₂×C₄	—	4	4	no	—
1541	C₂×C₄	—	4	1	no	—
1542	C₂×C₄	—	4	8	no	—
1543	C₂×C₄	—	4	2	no	—
1544	C₂×C₄	—	4	8	no	—
1545	C₂×C₄	—	4	8	no	—
1546	C₂×C₄	—	4	8	no	—
1547	C₂×C₄	—	4	1	no	—
1548	C₂×C₄	—	4	8	no	—
1549	C₂×C₄	—	4	4	no	—
1550	C₂×C₄	H(5,𝔽₂)×C₈₉	1	4	yes	—
1551	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1552	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1553	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1554	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1555	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1556	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1557	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1558	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1559	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1560	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1561	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1562	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1563	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1564	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1565	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1566	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1567	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	4	no	—
1572	C₂²	—	2	4	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	4	no	—
1575	C₂²	—	2	4	no	—
1576	C₂²	—	2	4	no	—
1577	C₂²	—	2	4	no	—
1578	C₂²	—	2	4	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	8	2	no	—
1586	C₂²	—	8	4	no	—
1587	C₂²	—	8	8	no	—
1588	C₂²	—	16	8	no	—
1589	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1590	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1591	C₄	—	2	2	no	—
1592	C₄	—	2	4	no	—
1593	C₄	—	2	4	no	—
1594	C₄	—	2	4	no	—
1595	C₄	—	2	4	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	4	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	4	no	—
1600	C₄	—	2	4	no	—
1601	C₄	—	2	2	no	—
1602	C₄	—	2	2	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	4	no	—
1605	C₄	—	2	1	no	—
1606	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1607	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1608	C₂	—	2	2	no	—
1609	C₂	—	4	4	no	—
1610	C₂	—	4	2	no	—
1611	C₂	—	4	4	no	—
1612	C₂	—	4	4	no	—
1613	C₂	—	4	4	no	—
1614	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1615	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
1616	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×#3558	C₂	semidirect
5. C₈₉×#3554	C₂	semidirect
6. C₈₉×#3546	C₂	semidirect
7. C₈₉×#3542	C₂	semidirect
8. C₈₉×#3541	C₂	semidirect
9. C₈₉×#3540	C₂	semidirect
10. C₈₉×#3536	C₂	semidirect
11. C₈₉×#3536	C₂	semidirect
12. C₈₉×#3534	C₂	semidirect
13. C₈₉×#3511	C₂	semidirect
14. C₈₉×#3507	C₂	semidirect
15. C₈₉×#3506	C₂	semidirect
16. C₈₉×#3500	C₂	semidirect
17. C₈₉×#3497	C₂	semidirect
18. C₈₉×#3496	C₂	semidirect
19. C₈₉×#3489	C₂	semidirect
20. C₈₉×#3488	C₂	semidirect
21. C₈₉×#3455	C₂	semidirect
22. C₂×#542×C₈₉	C₂	semidirect
23. C₈₉×#3449	C₂	semidirect
24. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
25. C₂×H(5,𝔽₂)×C₈₉	C₂²	semidirect
26. C₂²×#41×C₈₉	C₂²	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #562×C₈₉	C₂²	semidirect
29. #562×C₈₉	C₂²	semidirect
30. #562×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. H(3,𝔽₄)×C₈₉	C₂²	semidirect
33. #560×C₈₉	C₂²	semidirect
34. #560×C₈₉	C₂²	semidirect
35. #559×C₈₉	C₂²	semidirect
36. #559×C₈₉	C₂²	semidirect
37. #559×C₈₉	C₂²	semidirect
38. #557×C₈₉	C₂²	semidirect
39. #556×C₈₉	C₂²	semidirect
40. #556×C₈₉	C₂²	semidirect
41. #556×C₈₉	C₂²	semidirect
42. #556×C₈₉	C₂²	semidirect
43. #555×C₈₉	C₂²	semidirect
44. #555×C₈₉	C₂²	semidirect
45. #554×C₈₉	C₂²	semidirect
46. #554×C₈₉	C₂²	semidirect
47. #554×C₈₉	C₂²	semidirect
48. #553×C₈₉	C₂²	semidirect
49. #553×C₈₉	C₂²	semidirect
50. #553×C₈₉	C₂²	semidirect
51. #552×C₈₉	C₂²	semidirect
52. #551×C₈₉	C₂²	semidirect
53. #551×C₈₉	C₂²	semidirect
54. #550×C₈₉	C₂²	semidirect
55. #550×C₈₉	C₂²	semidirect
56. #550×C₈₉	C₂²	semidirect
57. #550×C₈₉	C₂²	semidirect
58. D₄×Q₈×C₈₉	C₂²	semidirect
59. D₄×Q₈×C₈₉	C₂²	semidirect
60. D₄×Q₈×C₈₉	C₂²	semidirect
61. #548×C₈₉	C₂²	semidirect
62. #548×C₈₉	C₂²	semidirect
63. #548×C₈₉	C₂²	semidirect
64. #548×C₈₉	C₂²	semidirect
65. #548×C₈₉	C₂²	semidirect
66. #548×C₈₉	C₂²	semidirect
67. #548×C₈₉	C₂²	semidirect
68. #547×C₈₉	C₂²	semidirect
69. #547×C₈₉	C₂²	semidirect
70. #547×C₈₉	C₂²	semidirect
71. #547×C₈₉	C₂²	semidirect
72. #547×C₈₉	C₂²	semidirect
73. #547×C₈₉	C₂²	semidirect
74. #546×C₈₉	C₂²	semidirect
75. #546×C₈₉	C₂²	semidirect
76. #546×C₈₉	C₂²	semidirect
77. #546×C₈₉	C₂²	semidirect
78. #546×C₈₉	C₂²	semidirect
79. #546×C₈₉	C₂²	semidirect
80. #546×C₈₉	C₂²	semidirect
81. #546×C₈₉	C₂²	semidirect
82. #546×C₈₉	C₂²	semidirect
83. #546×C₈₉	C₂²	semidirect
84. #546×C₈₉	C₂²	semidirect
85. #546×C₈₉	C₂²	semidirect
86. #546×C₈₉	C₂²	semidirect
87. D₄²×C₈₉	C₂²	semidirect
88. D₄²×C₈₉	C₂²	semidirect
89. D₄²×C₈₉	C₂²	semidirect
90. D₄²×C₈₉	C₂²	semidirect
91. #543×C₈₉	C₂²	semidirect
92. #542×C₈₉	C₂²	semidirect
93. #542×C₈₉	C₂²	semidirect
94. #542×C₈₉	C₂²	semidirect
95. #542×C₈₉	C₂²	semidirect
96. #542×C₈₉	C₂²	semidirect
97. #542×C₈₉	C₂²	semidirect
98. #542×C₈₉	C₂²	semidirect
99. #542×C₈₉	C₂²	semidirect
100. #542×C₈₉	C₂²	semidirect
101. #542×C₈₉	C₂²	semidirect
102. #542×C₈₉	C₂²	semidirect
103. #541×C₈₉	C₂²	semidirect
104. #540×C₈₉	C₂²	semidirect
105. #540×C₈₉	C₂²	semidirect
106. #539×C₈₉	C₂²	semidirect
107. #539×C₈₉	C₂²	semidirect
108. #539×C₈₉	C₂²	semidirect
109. #539×C₈₉	C₂²	semidirect
110. #539×C₈₉	C₂²	semidirect
111. #538×C₈₉	C₂²	semidirect
112. #538×C₈₉	C₂²	semidirect
113. #538×C₈₉	C₂²	semidirect
114. #538×C₈₉	C₂²	semidirect
115. #538×C₈₉	C₂²	semidirect
116. #538×C₈₉	C₂²	semidirect
117. #538×C₈₉	C₂²	semidirect
118. #538×C₈₉	C₂²	semidirect
119. #538×C₈₉	C₂²	semidirect
120. #537×C₈₉	C₂²	semidirect
121. #537×C₈₉	C₂²	semidirect
122. #537×C₈₉	C₂²	semidirect
123. #537×C₈₉	C₂²	semidirect
124. #537×C₈₉	C₂²	semidirect
125. #537×C₈₉	C₂²	semidirect
126. #537×C₈₉	C₂²	semidirect
127. #537×C₈₉	C₂²	semidirect
128. #536×C₈₉	C₂²	semidirect
129. #536×C₈₉	C₂²	semidirect
130. #536×C₈₉	C₂²	semidirect
131. #536×C₈₉	C₂²	semidirect
132. #536×C₈₉	C₂²	semidirect
133. #535×C₈₉	C₂²	semidirect
134. #535×C₈₉	C₂²	semidirect
135. #535×C₈₉	C₂²	semidirect
136. #535×C₈₉	C₂²	semidirect
137. #535×C₈₉	C₂²	semidirect
138. #535×C₈₉	C₂²	semidirect
139. #534×C₈₉	C₂²	semidirect
140. #534×C₈₉	C₂²	semidirect
141. #534×C₈₉	C₂²	semidirect
142. #534×C₈₉	C₂²	semidirect
143. #533×C₈₉	C₂²	semidirect
144. #533×C₈₉	C₂²	semidirect
146. #532×C₈₉	C₂²	semidirect
147. #532×C₈₉	C₂²	semidirect
148. #532×C₈₉	C₂²	semidirect
149. #532×C₈₉	C₂²	semidirect
150. #532×C₈₉	C₂²	semidirect
151. #532×C₈₉	C₂²	semidirect
152. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
153. #529×C₈₉	C₂²	semidirect
154. #529×C₈₉	C₂²	semidirect
155. #529×C₈₉	C₂²	semidirect
156. C₂×#126×C₈₉	C₂²	semidirect
157. C₂×#124×C₈₉	C₂²	semidirect
158. C₂×#124×C₈₉	C₂²	semidirect
159. C₂×#124×C₈₉	C₂²	semidirect
160. #525×C₈₉	C₂²	semidirect
161. #525×C₈₉	C₂²	semidirect
162. #525×C₈₉	C₂²	semidirect
163. #525×C₈₉	C₂²	semidirect
164. #525×C₈₉	C₂²	semidirect
165. #525×C₈₉	C₂²	semidirect
166. C₂×#123×C₈₉	C₂²	semidirect
167. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
168. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
169. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
171. C₂×#121×C₈₉	C₂²	semidirect
172. C₂×#121×C₈₉	C₂²	semidirect
173. #520×C₈₉	C₂²	semidirect
174. #520×C₈₉	C₂²	semidirect
175. C₄×#41×C₈₉	C₂²	semidirect
176. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
177. C₂×C₄×D₄×C₈₉	C₂²	semidirect
178. C₂×#117×C₈₉	C₂²	semidirect
799. #62878	C₈₉	direct (N × H)
809. #3561	C₂×C₈₉	semidirect
810. #3560	C₂×C₈₉	semidirect
811. #3558	C₂×C₈₉	semidirect
812. #3558	C₂×C₈₉	semidirect
813. #3554	C₂×C₈₉	semidirect
814. #3546	C₂×C₈₉	semidirect
815. #3542	C₂×C₈₉	semidirect
816. #3541	C₂×C₈₉	semidirect
817. #3540	C₂×C₈₉	semidirect
818. #3536	C₂×C₈₉	semidirect
819. #3536	C₂×C₈₉	semidirect
820. #3534	C₂×C₈₉	semidirect
821. #3511	C₂×C₈₉	semidirect
822. #3507	C₂×C₈₉	semidirect
823. #3506	C₂×C₈₉	semidirect
824. #3500	C₂×C₈₉	semidirect
825. #3497	C₂×C₈₉	semidirect
826. #3496	C₂×C₈₉	semidirect
827. #3489	C₂×C₈₉	semidirect
828. #3488	C₂×C₈₉	semidirect
829. #3455	C₂×C₈₉	semidirect
830. C₂×#542	C₂×C₈₉	semidirect
831. #3449	C₂×C₈₉	semidirect
832. C₈₉	#62878	direct (N × H)
833. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
834. C₂×H(5,𝔽₂)	C₂²×C₈₉	semidirect
835. C₂²×#41	C₂²×C₈₉	semidirect
836. #563	C₂²×C₈₉	semidirect
837. #562	C₂²×C₈₉	semidirect
838. #562	C₂²×C₈₉	semidirect
839. #562	C₂²×C₈₉	semidirect
840. #562	C₂²×C₈₉	semidirect
841. H(3,𝔽₄)	C₂²×C₈₉	semidirect
842. #560	C₂²×C₈₉	semidirect
843. #560	C₂²×C₈₉	semidirect
844. #559	C₂²×C₈₉	semidirect
845. #559	C₂²×C₈₉	semidirect
846. #559	C₂²×C₈₉	semidirect
847. #557	C₂²×C₈₉	semidirect
848. #556	C₂²×C₈₉	semidirect
849. #556	C₂²×C₈₉	semidirect
850. #556	C₂²×C₈₉	semidirect
851. #556	C₂²×C₈₉	semidirect
852. #555	C₂²×C₈₉	semidirect
853. #555	C₂²×C₈₉	semidirect
854. #554	C₂²×C₈₉	semidirect
855. #554	C₂²×C₈₉	semidirect
856. #554	C₂²×C₈₉	semidirect
857. #553	C₂²×C₈₉	semidirect
858. #553	C₂²×C₈₉	semidirect
859. #553	C₂²×C₈₉	semidirect
860. #552	C₂²×C₈₉	semidirect
861. #551	C₂²×C₈₉	semidirect
862. #551	C₂²×C₈₉	semidirect
863. #550	C₂²×C₈₉	semidirect
864. #550	C₂²×C₈₉	semidirect
865. #550	C₂²×C₈₉	semidirect
866. #550	C₂²×C₈₉	semidirect
867. D₄×Q₈	C₂²×C₈₉	semidirect
868. D₄×Q₈	C₂²×C₈₉	semidirect
869. D₄×Q₈	C₂²×C₈₉	semidirect
870. #548	C₂²×C₈₉	semidirect
871. #548	C₂²×C₈₉	semidirect
872. #548	C₂²×C₈₉	semidirect
873. #548	C₂²×C₈₉	semidirect
874. #548	C₂²×C₈₉	semidirect
875. #548	C₂²×C₈₉	semidirect
876. #548	C₂²×C₈₉	semidirect
877. #547	C₂²×C₈₉	semidirect
878. #547	C₂²×C₈₉	semidirect
879. #547	C₂²×C₈₉	semidirect
880. #547	C₂²×C₈₉	semidirect
881. #547	C₂²×C₈₉	semidirect
882. #547	C₂²×C₈₉	semidirect
883. #546	C₂²×C₈₉	semidirect
884. #546	C₂²×C₈₉	semidirect
885. #546	C₂²×C₈₉	semidirect
886. #546	C₂²×C₈₉	semidirect
887. #546	C₂²×C₈₉	semidirect
888. #546	C₂²×C₈₉	semidirect
889. #546	C₂²×C₈₉	semidirect
890. #546	C₂²×C₈₉	semidirect
891. #546	C₂²×C₈₉	semidirect
892. #546	C₂²×C₈₉	semidirect
893. #546	C₂²×C₈₉	semidirect
894. #546	C₂²×C₈₉	semidirect
895. #546	C₂²×C₈₉	semidirect
896. D₄²	C₂²×C₈₉	semidirect
897. D₄²	C₂²×C₈₉	semidirect
898. D₄²	C₂²×C₈₉	semidirect
899. D₄²	C₂²×C₈₉	semidirect
900. #543	C₂²×C₈₉	semidirect
901. #542	C₂²×C₈₉	semidirect
902. #542	C₂²×C₈₉	semidirect
903. #542	C₂²×C₈₉	semidirect
904. #542	C₂²×C₈₉	semidirect
905. #542	C₂²×C₈₉	semidirect
906. #542	C₂²×C₈₉	semidirect
907. #542	C₂²×C₈₉	semidirect
908. #542	C₂²×C₈₉	semidirect
909. #542	C₂²×C₈₉	semidirect
910. #542	C₂²×C₈₉	semidirect
911. #542	C₂²×C₈₉	semidirect
912. #541	C₂²×C₈₉	semidirect
913. #540	C₂²×C₈₉	semidirect
914. #540	C₂²×C₈₉	semidirect
915. #539	C₂²×C₈₉	semidirect
916. #539	C₂²×C₈₉	semidirect
917. #539	C₂²×C₈₉	semidirect
918. #539	C₂²×C₈₉	semidirect
919. #539	C₂²×C₈₉	semidirect
920. #538	C₂²×C₈₉	semidirect
921. #538	C₂²×C₈₉	semidirect
922. #538	C₂²×C₈₉	semidirect
923. #538	C₂²×C₈₉	semidirect
924. #538	C₂²×C₈₉	semidirect
925. #538	C₂²×C₈₉	semidirect
926. #538	C₂²×C₈₉	semidirect
927. #538	C₂²×C₈₉	semidirect
928. #538	C₂²×C₈₉	semidirect
929. #537	C₂²×C₈₉	semidirect
930. #537	C₂²×C₈₉	semidirect
931. #537	C₂²×C₈₉	semidirect
932. #537	C₂²×C₈₉	semidirect
933. #537	C₂²×C₈₉	semidirect
934. #537	C₂²×C₈₉	semidirect
935. #537	C₂²×C₈₉	semidirect
936. #537	C₂²×C₈₉	semidirect
937. #536	C₂²×C₈₉	semidirect
938. #536	C₂²×C₈₉	semidirect
939. #536	C₂²×C₈₉	semidirect
940. #536	C₂²×C₈₉	semidirect
941. #536	C₂²×C₈₉	semidirect
942. #535	C₂²×C₈₉	semidirect
943. #535	C₂²×C₈₉	semidirect
944. #535	C₂²×C₈₉	semidirect
945. #535	C₂²×C₈₉	semidirect
946. #535	C₂²×C₈₉	semidirect
947. #535	C₂²×C₈₉	semidirect
948. #534	C₂²×C₈₉	semidirect
949. #534	C₂²×C₈₉	semidirect
950. #534	C₂²×C₈₉	semidirect
951. #534	C₂²×C₈₉	semidirect
952. #533	C₂²×C₈₉	semidirect
953. #533	C₂²×C₈₉	semidirect
955. #532	C₂²×C₈₉	semidirect
956. #532	C₂²×C₈₉	semidirect
957. #532	C₂²×C₈₉	semidirect
958. #532	C₂²×C₈₉	semidirect
959. #532	C₂²×C₈₉	semidirect
960. #532	C₂²×C₈₉	semidirect
961. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
962. #529	C₂²×C₈₉	semidirect
963. #529	C₂²×C₈₉	semidirect
964. #529	C₂²×C₈₉	semidirect
965. C₂×#126	C₂²×C₈₉	semidirect
966. C₂×#124	C₂²×C₈₉	semidirect
967. C₂×#124	C₂²×C₈₉	semidirect
968. C₂×#124	C₂²×C₈₉	semidirect
969. #525	C₂²×C₈₉	semidirect
970. #525	C₂²×C₈₉	semidirect
971. #525	C₂²×C₈₉	semidirect
972. #525	C₂²×C₈₉	semidirect
973. #525	C₂²×C₈₉	semidirect
974. #525	C₂²×C₈₉	semidirect
975. C₂×#123	C₂²×C₈₉	semidirect
976. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
977. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
978. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
980. C₂×#121	C₂²×C₈₉	semidirect
981. C₂×#121	C₂²×C₈₉	semidirect
982. #520	C₂²×C₈₉	semidirect
983. #520	C₂²×C₈₉	semidirect
984. C₄×#41	C₂²×C₈₉	semidirect
985. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
986. C₂×C₄×D₄	C₂²×C₈₉	semidirect
987. 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×#3546	2
C₈₉×#3542	2
C₈₉×#3541	2
C₈₉×#3540	2
C₈₉×#3536	2
C₈₉×#3534	2
C₈₉×#3511	2
C₈₉×#3507	2
C₈₉×#3506	2
C₈₉×#3500	2
C₈₉×#3497	2
C₈₉×#3496	2
C₈₉×#3489	2
C₈₉×#3488	2
C₈₉×#3455	2
C₂×#542×C₈₉	2
C₈₉×#3449	2
#62878	89

Subgroups — C89×#62878 #36440726

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62878 #36440726