Subgroups — #2465×D₈₉ #36722396

Order 22784.

2854 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂²⋊Q₈×D₈₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×Q₈×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#26024280	C₂	1	1	yes	maximal, characteristic, complemented
4	#26024279	C₂	1	1	yes	maximal, characteristic, complemented
5	#26024278	C₂	1	1	yes	maximal, characteristic, complemented
6	#26024277	C₂	1	1	yes	maximal, characteristic, complemented
7	#26024276	C₂	1	1	yes	maximal, characteristic, complemented
8	#26024275	C₂	1	1	yes	maximal, characteristic, complemented
9	#26024274	C₂	1	1	yes	maximal, characteristic, complemented
10	#26024273	C₂	1	1	yes	maximal, characteristic, complemented
11	#26024272	C₂	1	1	yes	maximal, characteristic, complemented
12	#26024271	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024270	C₂	1	1	yes	maximal, characteristic, complemented
14	#26024269	C₂	1	1	yes	maximal, characteristic, complemented
15	#26024268	C₂	1	1	yes	maximal, characteristic, complemented
16	#26024267	C₂	1	1	yes	maximal, characteristic, complemented
17	#26024266	C₂	1	1	yes	maximal, characteristic, complemented
18	#396×D₈₉	C₂	1	1	yes	maximal, characteristic
19	#395×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#395×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#393×D₈₉	C₂	1	1	yes	maximal, characteristic
22	#391×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#389×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
25	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
26	#387×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
27	#387×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#387×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	#385×D₈₉	C₂	1	1	yes	maximal, characteristic
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2465	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₈₉	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₈₉	C₂²	1	1	yes	characteristic
34	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
35	C₂×#15667992	C₂²	1	1	yes	characteristic
36	C₂×#15667991	C₂²	1	1	yes	characteristic
37	C₂×#15667990	C₂²	1	1	yes	characteristic
38	C₂×#15667990	C₂²	1	1	yes	characteristic
39	C₂×#15667989	C₂²	1	1	yes	characteristic
40	C₂×#15667989	C₂²	1	1	yes	characteristic
41	C₂×#15667988	C₂²	1	1	yes	characteristic
42	C₂²⋊Q₈×D₈₉	—	2	8	no	—
43	C₂×Q₈×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
48	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
49	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
50	C₄×Q₈×D₈₉	—	2	8	no	—
51	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
59	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
60	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
61	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
62	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
67	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
69	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
70	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
71	#19151522	C₂²	1	1	yes	characteristic
72	#19151521	C₂²	1	1	yes	characteristic
73	#19151521	C₂²	1	1	yes	characteristic
74	#19151521	C₂²	1	1	yes	characteristic
75	#19151520	C₂²	1	1	yes	characteristic
76	#19151520	C₂²	1	1	yes	characteristic
77	#19151520	C₂²	1	1	yes	characteristic
78	#19151519	C₂²	1	1	yes	characteristic, complemented
79	#19151519	C₂²	1	1	yes	characteristic, complemented
80	#19151519	C₂²	1	1	yes	characteristic, complemented
81	#19151519	C₂²	1	1	yes	characteristic, complemented
82	#19151519	C₂²	1	1	yes	characteristic, complemented
83	#19151519	C₂²	1	1	yes	characteristic, complemented
84	#19151518	C₂²	1	1	yes	characteristic, complemented
85	#19151518	C₂²	1	1	yes	characteristic, complemented
86	#19151518	C₂²	1	1	yes	characteristic, complemented
87	#19151518	C₂²	1	1	yes	characteristic, complemented
88	#19151518	C₂²	1	1	yes	characteristic, complemented
89	#19151518	C₂²	1	1	yes	characteristic, complemented
90	#19151517	C₂²	1	1	yes	characteristic, complemented
91	#19151517	C₂²	1	1	yes	characteristic, complemented
92	#19151511	C₂²	1	1	yes	characteristic
93	#19151511	C₂²	1	1	yes	characteristic
94	#19151511	C₂²	1	1	yes	characteristic
95	#19151510	C₂²	1	1	yes	characteristic
96	#19151510	C₂²	1	1	yes	characteristic
97	#19151510	C₂²	1	1	yes	characteristic
98	#19151509	C₂²	1	1	yes	characteristic
99	#19151505	C₂²	1	1	yes	characteristic, complemented
100	#19151504	C₂²	1	1	yes	characteristic, complemented
101	#19151503	C₂²	1	1	yes	characteristic, complemented
102	#19151502	C₂²	1	1	yes	characteristic, complemented
103	#19151502	C₂²	1	1	yes	characteristic, complemented
104	#19151502	C₂²	1	1	yes	characteristic, complemented
105	#19151502	C₂²	1	1	yes	characteristic, complemented
106	#19151497	C₂²	1	1	yes	characteristic, complemented
107	#19151496	C₂²	1	1	yes	characteristic, complemented
108	#19151495	C₂²	1	1	yes	characteristic, complemented
109	#19151495	C₂²	1	1	yes	characteristic, complemented
110	#19151494	C₂²	1	1	yes	characteristic, complemented
111	#19151493	C₂²	1	1	yes	characteristic, complemented
112	#19151493	C₂²	1	1	yes	characteristic, complemented
113	#19151492	C₂²	1	1	yes	characteristic
114	#19151492	C₂²	1	1	yes	characteristic
115	#19151491	C₂²	1	1	yes	characteristic
116	#19151491	C₂²	1	1	yes	characteristic
117	#19151490	C₂²	1	1	yes	characteristic
118	#19151490	C₂²	1	1	yes	characteristic
119	#19151489	C₂²	1	1	yes	characteristic
120	#19151489	C₂²	1	1	yes	characteristic
121	#19151488	C₂²	1	1	yes	characteristic
122	#19151488	C₂²	1	1	yes	characteristic
123	#19151487	C₂²	1	1	yes	characteristic
124	#19151487	C₂²	1	1	yes	characteristic
125	#19151486	C₂²	1	1	yes	characteristic
126	#19151486	C₂²	1	1	yes	characteristic
127	#19151485	C₂²	1	1	yes	characteristic, complemented
128	#19151485	C₂²	1	1	yes	characteristic, complemented
129	#19151485	C₂²	1	1	yes	characteristic, complemented
130	#19151484	C₂²	1	1	yes	characteristic, complemented
131	#19151484	C₂²	1	1	yes	characteristic, complemented
132	#19151484	C₂²	1	1	yes	characteristic, complemented
133	#19151483	C₂²	1	1	yes	characteristic, complemented
134	#19151483	C₂²	1	1	yes	characteristic, complemented
135	#19151483	C₂²	1	1	yes	characteristic, complemented
136	#19151482	C₂²	1	1	yes	characteristic, complemented
137	#19151482	C₂²	1	1	yes	characteristic, complemented
138	#19151482	C₂²	1	1	yes	characteristic, complemented
139	#19151481	C₂²	1	1	yes	characteristic, complemented
140	#19151481	C₂²	1	1	yes	characteristic, complemented
141	#19151481	C₂²	1	1	yes	characteristic, complemented
142	#19151480	C₂²	1	1	yes	characteristic, complemented
143	#19151480	C₂²	1	1	yes	characteristic, complemented
144	#19151480	C₂²	1	1	yes	characteristic, complemented
145	#19151479	C₂²	1	1	yes	characteristic, complemented
146	#19151479	C₂²	1	1	yes	characteristic, complemented
147	#19151479	C₂²	1	1	yes	characteristic, complemented
148	#19151473	C₂²	1	1	yes	characteristic
149	#19151472	C₂²	1	1	yes	characteristic
150	#19151472	C₂²	1	1	yes	characteristic
151	#19151471	C₂²	1	1	yes	characteristic
152	#19151470	C₂²	1	1	yes	characteristic
153	#19151469	C₂²	1	1	yes	characteristic
154	#19151469	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
157	C₄×#13083551	C₂²	1	1	yes	characteristic
158	C₄×#13083551	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
160	#19151445	C₂²	1	1	yes	characteristic
161	#19151445	C₂²	1	1	yes	characteristic
162	#95×D₈₉	C₂²	1	1	yes	characteristic
163	#95×D₈₉	C₂²	1	1	yes	characteristic
164	#95×D₈₉	C₂²	1	1	yes	characteristic
165	#95×D₈₉	C₂²	1	1	yes	characteristic
166	#95×D₈₉	C₂²	1	1	yes	characteristic
167	#95×D₈₉	C₂²	1	1	yes	characteristic
168	#95×D₈₉	C₂²	1	1	yes	characteristic
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic
171	#95×D₈₉	C₂²	1	1	yes	characteristic
172	#95×D₈₉	C₂²	1	1	yes	characteristic
173	#95×D₈₉	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#396×C₈₉	C₂²	1	1	yes	characteristic
177	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#393×C₈₉	C₂²	1	1	yes	characteristic
180	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#388×C₈₉	C₂²	1	1	yes	characteristic
183	#388×C₈₉	C₂²	1	1	yes	characteristic
184	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	#385×C₈₉	C₂²	1	1	yes	characteristic
188	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
194	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
196	C₂×Q₈×D₈₉	—	2	4	no	—
197	C₂×Q₈×D₈₉	—	2	4	no	—
198	C₂×Q₈×D₈₉	—	2	4	no	—
199	C₂×Q₈×D₈₉	—	2	4	no	—
200	C₂×Q₈×D₈₉	—	2	4	no	—
201	C₂×Q₈×D₈₉	—	4	2	no	—
202	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₈₉	—	2	4	no	—
204	C₂²×C₄×D₈₉	—	2	4	no	—
205	C₂²×C₄×D₈₉	—	4	2	no	—
206	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
222	#15667992	—	2	4	no	—
223	#15667991	—	2	4	no	—
224	#15667990	—	2	4	no	—
225	#15667990	—	2	4	no	—
226	#15667989	—	2	4	no	—
227	#15667989	—	2	4	no	—
228	#15667988	—	2	4	no	—
229	Q₈×Dic₈₉	—	2	4	no	—
230	C₄×Dic₁₇₈	—	2	4	no	—
231	C₄×Dic₁₇₈	—	2	4	no	—
232	C₄×Dic₁₇₈	—	2	4	no	—
233	#15667977	—	2	4	no	—
234	#15667977	—	2	4	no	—
235	#15667977	—	2	4	no	—
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×#13083553	C₂³	1	1	yes	characteristic
252	C₂×#13083553	C₂³	1	1	yes	characteristic
253	C₂×#13083553	C₂³	1	1	yes	characteristic
254	C₂×#13083553	C₂³	1	1	yes	characteristic
255	C₂×#13083553	C₂³	1	1	yes	characteristic
256	C₂×#13083553	C₂³	1	1	yes	characteristic
257	C₂×#13083553	C₂³	1	1	yes	characteristic
258	C₂×#13083553	C₂³	1	1	yes	characteristic
259	C₂×#13083553	C₂³	1	1	yes	characteristic
260	C₂×#13083553	C₂³	1	1	yes	characteristic
261	C₂×#13083553	C₂³	1	1	yes	characteristic
262	C₂×#13083553	C₂³	1	1	yes	characteristic
263	C₂×#13083553	C₂³	1	1	yes	characteristic
264	C₂×#13083553	C₂³	1	1	yes	characteristic
265	C₂×#13083553	C₂³	1	1	yes	characteristic
266	C₄⋊C₄×D₈₉	—	2	4	no	—
267	C₄⋊C₄×D₈₉	—	2	4	no	—
268	C₄⋊C₄×D₈₉	—	2	4	no	—
269	C₄⋊C₄×D₈₉	—	2	4	no	—
270	C₄⋊C₄×D₈₉	—	2	4	no	—
271	C₄⋊C₄×D₈₉	—	2	4	no	—
272	C₄⋊C₄×D₈₉	—	2	4	no	—
273	C₄⋊C₄×D₈₉	—	4	2	no	—
274	C₄⋊C₄×D₈₉	—	4	2	no	—
275	C₄⋊C₄×D₈₉	D₄	1	8	yes	—
276	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂×#13083551	C₂³	1	1	yes	characteristic
286	C₂×#13083551	C₂³	1	1	yes	characteristic
287	C₂×#13083551	C₂³	1	1	yes	characteristic
288	C₂×#13083551	C₂³	1	1	yes	characteristic
289	C₂×#13083551	C₂³	1	1	yes	characteristic
290	C₂×#13083551	C₂³	1	1	yes	characteristic
291	C₂×#13083551	C₂³	1	1	yes	characteristic
292	C₂×#13083551	C₂³	1	1	yes	characteristic
293	C₂×#13083551	C₂³	1	1	yes	characteristic
294	C₂²⋊C₄×D₈₉	—	2	4	no	—
295	C₂²⋊C₄×D₈₉	—	2	4	no	—
296	C₂²⋊C₄×D₈₉	—	2	4	no	—
297	C₂²⋊C₄×D₈₉	—	2	4	no	—
298	C₂²⋊C₄×D₈₉	—	4	2	no	—
299	C₂²⋊C₄×D₈₉	Q₈	1	8	yes	complemented
300	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
312	C₄²×D₈₉	—	2	4	no	—
313	C₄²×D₈₉	—	2	4	no	—
314	C₄²×D₈₉	—	2	4	no	—
315	C₄²×D₈₉	—	4	2	no	—
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#15667919	C₂³	1	1	yes	characteristic
333	#15667919	C₂³	1	1	yes	characteristic
334	#15667919	C₂³	1	1	yes	characteristic
335	#15667919	C₂³	1	1	yes	characteristic
336	#15667919	C₂³	1	1	yes	characteristic
337	#15667919	C₂³	1	1	yes	characteristic
338	#15667919	C₂³	1	1	yes	characteristic
339	#15667919	C₂³	1	1	yes	characteristic
340	#15667919	C₂³	1	1	yes	characteristic
341	#15667919	C₂³	1	1	yes	characteristic
342	#15667919	C₂³	1	1	yes	characteristic
343	#15667919	C₂³	1	1	yes	characteristic
344	#15667919	C₂³	1	1	yes	characteristic
345	#15667919	C₂³	1	1	yes	characteristic
346	#15667919	C₂³	1	1	yes	characteristic
347	#15667919	C₂³	1	1	yes	characteristic
348	#15667919	C₂³	1	1	yes	characteristic
349	#15667919	C₂³	1	1	yes	characteristic
350	#15667919	C₂³	1	1	yes	characteristic
351	#15667919	C₂³	1	1	yes	characteristic
352	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
353	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
354	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂²⋊Q₈×C₈₉	—	2	4	no	—
356	C₄×Q₈×C₈₉	—	2	4	no	—
357	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
373	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
374	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
375	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
376	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
377	#95×C₈₉	C₂³	1	1	yes	characteristic
378	#95×C₈₉	C₂³	1	1	yes	characteristic
379	#95×C₈₉	C₂³	1	1	yes	characteristic
380	#95×C₈₉	C₂³	1	1	yes	characteristic
381	#95×C₈₉	C₂³	1	1	yes	characteristic
382	#95×C₈₉	C₂³	1	1	yes	characteristic
383	#95×C₈₉	C₂³	1	1	yes	characteristic
384	#95×C₈₉	C₂³	1	1	yes	characteristic
385	#95×C₈₉	C₂³	1	1	yes	characteristic
386	#95×C₈₉	C₂³	1	1	yes	characteristic
387	#95×C₈₉	C₂³	1	1	yes	characteristic
388	#95×C₈₉	C₂³	1	1	yes	characteristic
389	C₂³×D₈₉	—	2	2	no	—
390	C₂³×D₈₉	—	2	2	no	—
391	C₂³×D₈₉	—	2	2	no	—
392	C₂³×D₈₉	—	2	2	no	—
393	C₂³×D₈₉	—	2	2	no	—
394	C₂³×D₈₉	—	2	2	no	—
395	C₂³×D₈₉	C₂×Q₈	1	4	yes	—
396	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
397	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
398	C₂×Dic₁₇₈	—	2	2	no	—
399	C₂×Dic₁₇₈	—	2	2	no	—
400	C₂×Dic₁₇₈	—	2	2	no	—
401	C₂×Dic₁₇₈	—	2	2	no	—
402	C₂×Dic₁₇₈	—	2	2	no	—
403	C₂×Dic₁₇₈	—	2	2	no	—
404	C₂×Dic₁₇₈	—	2	2	no	—
405	C₂×Dic₁₇₈	—	2	2	no	—
406	C₂×Dic₁₇₈	—	2	2	no	—
407	C₂×Dic₁₇₈	—	2	2	no	—
408	C₂×Dic₁₇₈	—	2	2	no	—
409	C₂×Dic₁₇₈	—	2	2	no	—
410	C₂×Dic₁₇₈	—	2	2	no	—
411	C₂×Dic₁₇₈	—	2	2	no	—
412	C₂×Dic₁₇₈	—	2	2	no	—
413	C₂×Dic₁₇₈	—	4	1	no	—
414	C₂×Dic₁₇₈	—	4	1	no	—
415	C₂×Dic₁₇₈	—	4	1	no	—
416	Q₈×D₈₉	—	2	32	no	—
417	Q₈×D₈₉	—	4	16	no	—
418	C₂²×Dic₈₉	—	2	2	no	—
419	C₂²×Dic₈₉	—	2	2	no	—
420	C₂²×Dic₈₉	—	4	1	no	—
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	2	2	no	—
443	C₂×C₄×D₈₉	—	2	2	no	—
444	C₂×C₄×D₈₉	—	2	2	no	—
445	C₂×C₄×D₈₉	—	2	2	no	—
446	C₂×C₄×D₈₉	—	2	2	no	—
447	C₂×C₄×D₈₉	—	2	2	no	—
448	C₂×C₄×D₈₉	—	2	2	no	—
449	C₂×C₄×D₈₉	—	2	2	no	—
450	C₂×C₄×D₈₉	—	2	2	no	—
451	C₂×C₄×D₈₉	—	2	2	no	—
452	C₂×C₄×D₈₉	—	2	2	no	—
453	C₂×C₄×D₈₉	—	2	2	no	—
454	C₂×C₄×D₈₉	—	2	2	no	—
455	C₂×C₄×D₈₉	—	2	2	no	—
456	C₂×C₄×D₈₉	—	2	2	no	—
457	C₂×C₄×D₈₉	—	2	2	no	—
458	C₂×C₄×D₈₉	—	2	2	no	—
459	C₂×C₄×D₈₉	—	2	2	no	—
460	C₂×C₄×D₈₉	—	2	2	no	—
461	C₂×C₄×D₈₉	—	2	2	no	—
462	C₂×C₄×D₈₉	—	2	2	no	—
463	C₂×C₄×D₈₉	—	2	2	no	—
464	C₂×C₄×D₈₉	—	2	2	no	—
465	C₂×C₄×D₈₉	—	2	2	no	—
466	C₂×C₄×D₈₉	—	2	2	no	—
467	C₂×C₄×D₈₉	—	2	2	no	—
468	C₂×C₄×D₈₉	—	2	2	no	—
469	C₂×C₄×D₈₉	—	2	2	no	—
470	C₂×C₄×D₈₉	—	2	2	no	—
471	C₂×C₄×D₈₉	—	2	2	no	—
472	C₂×C₄×D₈₉	—	2	2	no	—
473	C₂×C₄×D₈₉	—	4	16	no	—
474	C₂×C₄×D₈₉	—	4	1	no	—
475	C₂×C₄×D₈₉	—	4	1	no	—
476	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
477	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
478	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
479	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
480	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
481	C₂×C₄×D₈₉	#41	1	4	yes	—
482	C₂×C₄×D₈₉	#41	1	4	yes	—
483	C₂×C₄×D₈₉	#41	1	4	yes	—
484	C₄⋊Dic₈₉	—	2	2	no	—
485	C₄⋊Dic₈₉	—	2	2	no	—
486	C₄⋊Dic₈₉	—	2	2	no	—
487	C₄⋊Dic₈₉	—	2	2	no	—
488	C₄⋊Dic₈₉	—	2	2	no	—
489	C₄⋊Dic₈₉	—	2	2	no	—
490	C₄⋊Dic₈₉	—	2	2	no	—
491	C₄⋊Dic₈₉	—	4	1	no	—
492	C₄⋊Dic₈₉	—	4	1	no	—
493	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
494	#13083553	—	2	2	no	—
495	#13083553	—	2	2	no	—
496	#13083553	—	2	2	no	—
497	#13083553	—	2	2	no	—
498	#13083553	—	2	2	no	—
499	#13083553	—	2	2	no	—
500	#13083553	—	2	2	no	—
501	#13083553	—	2	2	no	—
502	#13083553	—	2	2	no	—
503	#13083553	—	2	2	no	—
504	#13083553	—	2	2	no	—
505	#13083553	—	2	2	no	—
506	#13083553	—	2	2	no	—
507	#13083553	—	2	2	no	—
508	#13083553	—	4	1	no	—
509	#13083553	—	4	1	no	—
510	#13083553	—	4	1	no	—
511	#13083553	—	4	1	no	—
512	#13083553	C₂×D₄	1	4	yes	—
513	#13083553	C₂×D₄	1	4	yes	—
514	C₂²⋊Dic₈₉	—	2	2	no	—
515	C₂²⋊Dic₈₉	—	2	2	no	—
516	C₂²⋊Dic₈₉	—	2	2	no	—
517	C₂²⋊Dic₈₉	—	2	2	no	—
518	C₂²⋊Dic₈₉	—	4	1	no	—
519	C₂²⋊Dic₈₉	C₂×Q₈	1	4	yes	complemented
520	#13083551	—	2	2	no	—
521	#13083551	—	2	2	no	—
522	#13083551	—	2	2	no	—
523	#13083551	—	2	2	no	—
524	#13083551	—	2	2	no	—
525	#13083551	—	2	2	no	—
526	#13083551	—	2	2	no	—
527	#13083551	—	2	2	no	—
528	#13083551	—	4	1	no	—
529	#13083551	—	4	1	no	—
530	#13083551	C₂×Q₈	1	4	yes	complemented
531	#13083551	C₂×Q₈	1	4	yes	complemented
532	C₄×Dic₈₉	—	2	2	no	—
533	C₄×Dic₈₉	—	2	2	no	—
534	C₄×Dic₈₉	—	2	2	no	—
535	C₄×Dic₈₉	—	2	2	no	—
536	C₄×Dic₈₉	—	2	2	no	—
537	C₄×Dic₈₉	—	2	2	no	—
538	C₄×Dic₈₉	—	2	2	no	—
539	C₄×Dic₈₉	—	2	2	no	—
540	C₄×Dic₈₉	—	2	2	no	—
541	C₄×Dic₈₉	—	4	1	no	—
542	C₄×Dic₈₉	—	4	1	no	—
543	C₄×Dic₈₉	—	4	1	no	—
544	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂×Q₈×C₈₉	—	2	2	no	—
546	C₂×Q₈×C₈₉	—	2	2	no	—
547	C₂×Q₈×C₈₉	—	2	2	no	—
548	C₂×Q₈×C₈₉	—	2	2	no	—
549	C₂×Q₈×C₈₉	—	2	2	no	—
550	C₂×Q₈×C₈₉	—	4	1	no	—
551	C₂²×C₄×C₈₉	—	2	2	no	—
552	C₂²×C₄×C₈₉	—	2	2	no	—
553	C₂²×C₄×C₈₉	—	4	1	no	—
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	1	yes	characteristic
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
568	C₄⋊C₄×C₈₉	—	2	2	no	—
569	C₄⋊C₄×C₈₉	—	2	2	no	—
570	C₄⋊C₄×C₈₉	—	2	2	no	—
571	C₄⋊C₄×C₈₉	—	2	2	no	—
572	C₄⋊C₄×C₈₉	—	2	2	no	—
573	C₄⋊C₄×C₈₉	—	2	2	no	—
574	C₄⋊C₄×C₈₉	—	2	2	no	—
575	C₄⋊C₄×C₈₉	—	4	1	no	—
576	C₄⋊C₄×C₈₉	—	4	1	no	—
577	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
578	C₂²⋊C₄×C₈₉	—	2	2	no	—
579	C₂²⋊C₄×C₈₉	—	2	2	no	—
580	C₂²⋊C₄×C₈₉	—	2	2	no	—
581	C₂²⋊C₄×C₈₉	—	2	2	no	—
582	C₂²⋊C₄×C₈₉	—	4	1	no	—
583	C₂²⋊C₄×C₈₉	C₂×Q₈	1	4	yes	complemented
584	C₄²×C₈₉	—	2	2	no	—
585	C₄²×C₈₉	—	2	2	no	—
586	C₄²×C₈₉	—	2	2	no	—
587	C₄²×C₈₉	—	4	1	no	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	—	2	1	no	—
591	C₂³×C₈₉	—	2	1	no	—
592	C₂³×C₈₉	—	2	1	no	—
593	C₂³×C₈₉	—	2	1	no	—
594	C₂³×C₈₉	C₂²×Q₈	1	2	yes	—
595	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
596	C₂²×D₈₉	—	2	1	no	—
597	C₂²×D₈₉	—	2	1	no	—
598	C₂²×D₈₉	—	2	1	no	—
599	C₂²×D₈₉	—	2	1	no	—
600	C₂²×D₈₉	—	2	1	no	—
601	C₂²×D₈₉	—	2	1	no	—
602	C₂²×D₈₉	—	2	8	no	—
603	C₂²×D₈₉	—	2	8	no	—
604	C₂²×D₈₉	—	2	8	no	—
605	C₂²×D₈₉	—	4	4	no	—
606	C₂²×D₈₉	—	4	4	no	—
607	C₂²×D₈₉	—	4	4	no	—
608	C₂²×D₈₉	—	4	4	no	—
609	C₂²×D₈₉	C₂²×D₄	1	2	yes	—
610	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
611	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
612	C₂²×D₈₉	C₂×#41	1	2	yes	—
613	C₂²×D₈₉	C₂×#41	1	2	yes	—
614	C₂²×D₈₉	C₂×#41	1	2	yes	—
615	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
616	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
617	Q₈×C₈₉	—	2	8	no	—
618	Q₈×C₈₉	—	4	4	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	4	4	no	—
654	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
656	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
657	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
658	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
659	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
660	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
661	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
662	C₂×Dic₈₉	—	2	1	no	—
663	C₂×Dic₈₉	—	2	1	no	—
664	C₂×Dic₈₉	—	2	1	no	—
665	C₂×Dic₈₉	—	2	1	no	—
666	C₂×Dic₈₉	—	2	1	no	—
667	C₂×Dic₈₉	—	2	1	no	—
668	C₂×Dic₈₉	—	2	1	no	—
669	C₂×Dic₈₉	—	2	1	no	—
670	C₂×Dic₈₉	—	2	1	no	—
671	C₂×Dic₈₉	—	2	1	no	—
672	C₂×Dic₈₉	—	2	1	no	—
673	C₂×Dic₈₉	—	2	1	no	—
674	C₂×Dic₈₉	—	2	1	no	—
675	C₂×Dic₈₉	—	2	1	no	—
676	C₂×Dic₈₉	—	2	1	no	—
677	C₂×Dic₈₉	—	2	1	no	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	4	4	no	—
697	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
698	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
699	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
700	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
701	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
702	C₂×Dic₈₉	C₂×#41	1	2	yes	—
703	C₂×Dic₈₉	C₂×#41	1	2	yes	—
704	C₂×Dic₈₉	C₂×#41	1	2	yes	—
705	C₄×D₈₉	—	2	8	no	—
706	C₄×D₈₉	—	2	8	no	—
707	C₄×D₈₉	—	2	8	no	—
708	C₄×D₈₉	—	2	8	no	—
709	C₄×D₈₉	—	2	8	no	—
710	C₄×D₈₉	—	2	8	no	—
711	C₄×D₈₉	—	2	8	no	—
712	C₄×D₈₉	—	2	8	no	—
713	C₄×D₈₉	—	4	4	no	—
714	C₄×D₈₉	—	4	4	no	—
715	C₄×D₈₉	—	4	4	no	—
716	C₄×D₈₉	—	4	4	no	—
717	C₄×D₈₉	—	4	4	no	—
718	C₄×D₈₉	—	4	4	no	—
719	C₄×D₈₉	—	4	4	no	—
720	C₄×D₈₉	—	4	4	no	—
721	Dic₁₇₈	—	2	8	no	—
722	Dic₁₇₈	—	2	8	no	—
723	Dic₁₇₈	—	2	8	no	—
724	Dic₁₇₈	—	4	4	no	—
725	Dic₁₇₈	—	4	4	no	—
726	Dic₁₇₈	—	4	4	no	—
727	C₂²×C₈₉	—	2	2	no	—
728	C₂²×C₈₉	—	2	2	no	—
729	C₂²×C₈₉	—	2	2	no	—
730	C₂²×C₈₉	—	4	1	no	—
731	C₂²×C₈₉	—	4	1	no	—
732	C₂²×C₈₉	—	4	1	no	—
733	C₂²×C₈₉	—	4	1	no	—
734	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
735	C₂²×C₈₉	C₂³×Q₈	1	1	yes	characteristic
736	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
737	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
738	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
739	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
741	C₂×D₈₉	—	2	2	no	—
742	C₂×D₈₉	—	2	2	no	—
743	C₂×D₈₉	—	2	2	no	—
744	C₂×D₈₉	—	4	1	no	—
745	C₂×D₈₉	—	4	1	no	—
746	C₂×D₈₉	—	4	1	no	—
747	C₂×D₈₉	—	4	1	no	—
748	C₂×D₈₉	—	4	16	no	—
749	C₂×D₈₉	#525	1	4	yes	—
750	C₂×D₈₉	#533	1	4	yes	—
751	C₂×D₈₉	#542	1	4	yes	—
752	C₂×D₈₉	#546	1	4	yes	—
753	C₂×D₈₉	D₄×Q₈	1	4	yes	—
754	C₂×D₈₉	#554	1	4	yes	—
755	C₂×D₈₉	#556	1	4	yes	—
756	C₄×C₈₉	—	2	2	no	—
757	C₄×C₈₉	—	2	2	no	—
758	C₄×C₈₉	—	2	2	no	—
759	C₄×C₈₉	—	2	2	no	—
760	C₄×C₈₉	—	2	2	no	—
761	C₄×C₈₉	—	2	2	no	—
762	C₄×C₈₉	—	2	2	no	—
763	C₄×C₈₉	—	2	2	no	—
764	C₄×C₈₉	—	4	1	no	—
765	C₄×C₈₉	—	4	1	no	—
766	C₄×C₈₉	—	4	1	no	—
767	C₄×C₈₉	—	4	1	no	—
768	C₄×C₈₉	—	4	1	no	—
769	C₄×C₈₉	—	4	1	no	—
770	Dic₈₉	—	2	2	no	—
771	Dic₈₉	—	2	2	no	—
772	Dic₈₉	—	2	2	no	—
773	Dic₈₉	—	2	2	no	—
774	Dic₈₉	—	2	2	no	—
775	Dic₈₉	—	2	2	no	—
776	Dic₈₉	—	2	2	no	—
777	Dic₈₉	—	2	2	no	—
778	Dic₈₉	—	4	1	no	—
779	Dic₈₉	—	4	1	no	—
780	Dic₈₉	—	4	1	no	—
781	Dic₈₉	—	4	1	no	—
782	Dic₈₉	—	4	1	no	—
783	Dic₈₉	—	4	1	no	—
784	C₂×#2465	—	89	1	no	maximal, Sylow
785	C₂×C₈₉	—	4	2	no	—
786	C₂×C₈₉	C₂×#525	1	1	yes	characteristic
787	C₂×C₈₉	C₂×#533	1	1	yes	characteristic
788	C₂×C₈₉	C₂×#542	1	1	yes	characteristic
789	C₂×C₈₉	C₂×#546	1	1	yes	characteristic
790	C₂×C₈₉	C₂×D₄×Q₈	1	1	yes	characteristic
791	C₂×C₈₉	C₂×#554	1	1	yes	characteristic
792	C₂×C₈₉	C₂×#556	1	1	yes	characteristic
793	D₈₉	—	4	2	no	—
794	D₈₉	#2465	1	8	yes	direct product factor
795	C₂²×C₂²⋊Q₈	—	89	1	no	—
796	C₂²×C₄×Q₈	—	89	1	no	—
797	#2465	—	89	1	no	—
798	#2465	—	89	1	no	—
799	#2465	—	89	1	no	—
800	#2465	—	89	1	no	—
801	#2465	—	89	1	no	—
802	#2465	—	89	1	no	—
803	#2465	—	89	1	no	—
804	#2465	—	89	1	no	—
805	#2465	—	89	1	no	—
806	#2465	—	89	1	no	—
807	#2465	—	89	1	no	—
808	#2465	—	89	1	no	—
809	#2465	—	89	1	no	—
810	#2465	—	89	1	no	—
811	#2465	—	89	1	no	—
812	#2465	D₈₉	1	1	yes	characteristic, direct product factor
813	C₂×#396	—	89	1	no	—
814	C₂×#395	—	89	1	no	—
815	C₂×#395	—	89	1	no	—
816	C₂×#393	—	89	1	no	—
817	C₂×#391	—	89	1	no	—
818	C₂×#389	—	89	1	no	—
819	C₂×#388	—	89	1	no	—
820	C₂×#388	—	89	1	no	—
821	C₂×#387	—	89	1	no	—
822	C₂×#387	—	89	1	no	—
823	C₂×#387	—	89	1	no	—
824	C₂×#385	—	89	1	no	—
825	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
826	C₈₉	C₂×#2465	1	1	yes	characteristic, complemented, Sylow
827	C₂³×Q₈	—	89	1	no	—
828	C₂³×Q₈	—	89	1	no	—
829	C₂⁴×C₄	—	89	1	no	—
830	C₂×C₂²⋊Q₈	—	89	1	no	—
831	C₂×C₂²⋊Q₈	—	89	1	no	—
832	C₂×C₂²⋊Q₈	—	89	1	no	—
833	C₂×C₂²⋊Q₈	—	89	1	no	—
834	C₂×C₂²⋊Q₈	—	89	1	no	—
835	C₂×C₂²⋊Q₈	—	89	1	no	—
836	C₂×C₂²⋊Q₈	—	89	1	no	—
837	C₂×C₂²⋊Q₈	—	178	8	no	—
838	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
839	C₂×C₄×Q₈	—	89	1	no	—
840	C₂×C₄×Q₈	—	89	1	no	—
841	C₂×C₄×Q₈	—	89	1	no	—
842	C₂×C₄×Q₈	—	89	1	no	—
843	C₂×C₄×Q₈	—	89	1	no	—
844	C₂×C₄×Q₈	—	89	1	no	—
845	C₂×C₄×Q₈	—	89	1	no	—
846	C₂×C₄×Q₈	—	178	8	no	—
847	C₂×C₄×Q₈	C₂×D₈₉	1	1	yes	characteristic, complemented
848	C₂²×C₄⋊C₄	—	89	1	no	—
849	C₂²×C₄⋊C₄	—	89	1	no	—
850	C₂²×C₄⋊C₄	—	89	1	no	—
851	C₂²×C₄⋊C₄	—	89	1	no	—
852	C₂²×C₄⋊C₄	—	89	1	no	—
853	C₂²×C₄⋊C₄	—	89	1	no	—
854	C₂²×C₄⋊C₄	—	89	1	no	—
855	C₂²×C₄⋊C₄	—	89	1	no	—
856	C₂²×C₄⋊C₄	—	89	1	no	—
857	C₂²×C₄⋊C₄	—	89	1	no	—
858	C₂²×C₂²⋊C₄	—	89	1	no	—
859	C₂²×C₂²⋊C₄	—	89	1	no	—
860	C₂²×C₂²⋊C₄	—	89	1	no	—
861	C₂²×C₂²⋊C₄	—	89	1	no	—
862	C₂²×C₂²⋊C₄	—	89	1	no	—
863	C₂²×C₂²⋊C₄	—	89	1	no	—
864	C₂²×C₄²	—	89	1	no	—
865	C₂²×C₄²	—	89	1	no	—
866	C₂²×C₄²	—	89	1	no	—
867	C₂²×C₄²	—	89	1	no	—
868	#396	—	89	1	no	—
869	#396	—	89	1	no	—
870	#396	—	89	1	no	—
871	#396	—	89	1	no	—
872	#396	—	89	1	no	—
873	#396	—	89	1	no	—
874	#396	—	89	1	no	—
875	#396	C₂×D₈₉	1	1	yes	characteristic
876	#395	—	89	1	no	—
877	#395	—	89	1	no	—
878	#395	—	89	1	no	—
879	#395	—	89	1	no	—
880	#395	—	89	1	no	—
881	#395	—	89	1	no	—
882	#395	—	89	1	no	—
883	#395	—	89	1	no	—
884	#395	—	89	1	no	—
885	#395	—	89	1	no	—
886	#395	—	89	1	no	—
887	#395	—	89	1	no	—
888	#395	—	89	1	no	—
889	#395	—	89	1	no	—
890	#395	C₂×D₈₉	1	1	yes	characteristic, complemented
891	#395	C₂×D₈₉	1	1	yes	characteristic, complemented
892	#393	—	89	1	no	—
893	#393	—	89	1	no	—
894	#393	—	89	1	no	—
895	#393	—	89	1	no	—
896	#393	—	89	1	no	—
897	#393	—	89	1	no	—
898	#393	—	89	1	no	—
899	#393	C₂×D₈₉	1	1	yes	characteristic
900	#391	—	89	1	no	—
901	#391	—	89	1	no	—
902	#391	—	89	1	no	—
903	#391	—	89	1	no	—
904	#391	—	89	1	no	—
905	#391	—	89	1	no	—
906	#391	—	89	1	no	—
907	#391	C₂×D₈₉	1	1	yes	characteristic, complemented
908	#389	—	89	1	no	—
909	#389	—	89	1	no	—
910	#389	—	89	1	no	—
911	#389	—	89	1	no	—
912	#389	—	89	1	no	—
913	#389	—	89	1	no	—
914	#389	—	89	1	no	—
915	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
916	#388	—	89	1	no	—
917	#388	—	89	1	no	—
918	#388	—	89	1	no	—
919	#388	—	89	1	no	—
920	#388	—	89	1	no	—
921	#388	—	89	1	no	—
922	#388	—	89	1	no	—
923	#388	—	89	1	no	—
924	#388	—	89	1	no	—
925	#388	—	89	1	no	—
926	#388	—	89	1	no	—
927	#388	—	89	1	no	—
928	#388	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	C₂×D₈₉	1	1	yes	characteristic
931	#388	C₂×D₈₉	1	1	yes	characteristic
932	#387	—	89	1	no	—
933	#387	—	89	1	no	—
934	#387	—	89	1	no	—
935	#387	—	89	1	no	—
936	#387	—	89	1	no	—
937	#387	—	89	1	no	—
938	#387	—	89	1	no	—
939	#387	—	89	1	no	—
940	#387	—	89	1	no	—
941	#387	—	89	1	no	—
942	#387	—	89	1	no	—
943	#387	—	89	1	no	—
944	#387	—	89	1	no	—
945	#387	—	89	1	no	—
946	#387	—	89	1	no	—
947	#387	—	89	1	no	—
948	#387	—	89	1	no	—
949	#387	—	89	1	no	—
950	#387	—	89	1	no	—
951	#387	—	89	1	no	—
952	#387	—	89	1	no	—
953	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
954	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
955	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
956	#385	—	89	1	no	—
957	#385	—	89	1	no	—
958	#385	—	89	1	no	—
959	#385	—	89	1	no	—
960	#385	—	89	1	no	—
961	#385	—	89	1	no	—
962	#385	—	89	1	no	—
963	#385	C₂×D₈₉	1	1	yes	characteristic
964	C₄×C₂²⋊C₄	—	89	1	no	—
965	C₄×C₂²⋊C₄	—	89	1	no	—
966	C₄×C₂²⋊C₄	—	89	1	no	—
967	C₄×C₂²⋊C₄	—	89	1	no	—
968	C₄×C₂²⋊C₄	—	89	1	no	—
969	C₄×C₂²⋊C₄	—	89	1	no	—
970	C₄×C₂²⋊C₄	—	89	1	no	—
971	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
972	C₂×#95	—	89	1	no	—
973	C₂×#95	—	89	1	no	—
974	C₂×#95	—	89	1	no	—
975	C₂×#95	—	89	1	no	—
976	C₂×#95	—	89	1	no	—
977	C₂×#95	—	89	1	no	—
978	C₂×#95	—	89	1	no	—
979	C₂×#95	—	89	1	no	—
980	C₂×#95	—	89	1	no	—
981	C₂×#95	—	89	1	no	—
982	C₂×#95	—	89	1	no	—
983	C₂×#95	—	89	1	no	—
984	C₂⁵	—	89	1	no	—
985	C₂²×Q₈	—	89	1	no	—
986	C₂²×Q₈	—	89	1	no	—
987	C₂²×Q₈	—	89	1	no	—
988	C₂²×Q₈	—	89	1	no	—
989	C₂²×Q₈	—	89	1	no	—
990	C₂²×Q₈	—	89	1	no	—
991	C₂²×Q₈	—	356	2	no	—
992	C₂²×Q₈	—	178	4	no	—
993	C₂²×Q₈	—	178	4	no	—
994	C₂²×Q₈	—	178	4	no	—
995	C₂²×Q₈	—	178	4	no	—
996	C₂²×Q₈	—	178	4	no	—
997	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
998	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
999	C₂³×C₄	—	89	1	no	—
1000	C₂³×C₄	—	89	1	no	—
1001	C₂³×C₄	—	89	1	no	—
1002	C₂³×C₄	—	89	1	no	—
1003	C₂³×C₄	—	89	1	no	—
1004	C₂³×C₄	—	89	1	no	—
1005	C₂³×C₄	—	89	1	no	—
1006	C₂³×C₄	—	89	1	no	—
1007	C₂³×C₄	—	89	1	no	—
1008	C₂³×C₄	—	89	1	no	—
1009	C₂³×C₄	—	89	1	no	—
1010	C₂³×C₄	—	89	1	no	—
1011	C₂³×C₄	—	89	1	no	—
1012	C₂³×C₄	—	89	1	no	—
1013	C₂³×C₄	—	89	1	no	—
1014	C₂³×C₄	—	89	1	no	—
1015	C₂³×C₄	—	89	1	no	—
1016	C₂³×C₄	—	356	2	no	—
1017	C₂³×C₄	—	178	4	no	—
1018	C₂³×C₄	—	178	4	no	—
1019	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1020	C₂²⋊Q₈	—	2	4	no	—
1021	C₂²⋊Q₈	—	178	4	no	—
1022	C₂²⋊Q₈	—	178	4	no	—
1023	C₂²⋊Q₈	—	178	4	no	—
1024	C₂²⋊Q₈	—	178	4	no	—
1025	C₂²⋊Q₈	—	178	4	no	—
1026	C₂²⋊Q₈	—	178	4	no	—
1027	C₂²⋊Q₈	—	178	4	no	—
1028	C₄×Q₈	—	2	4	no	—
1029	C₄×Q₈	—	178	4	no	—
1030	C₄×Q₈	—	178	4	no	—
1031	C₄×Q₈	—	178	4	no	—
1032	C₄×Q₈	—	178	4	no	—
1033	C₄×Q₈	—	178	4	no	—
1034	C₄×Q₈	—	178	4	no	—
1035	C₄×Q₈	—	178	4	no	—
1036	C₂×C₄⋊C₄	—	89	1	no	—
1037	C₂×C₄⋊C₄	—	89	1	no	—
1038	C₂×C₄⋊C₄	—	89	1	no	—
1039	C₂×C₄⋊C₄	—	89	8	no	—
1040	C₂×C₄⋊C₄	—	89	1	no	—
1041	C₂×C₄⋊C₄	—	89	1	no	—
1042	C₂×C₄⋊C₄	—	89	1	no	—
1043	C₂×C₄⋊C₄	—	89	1	no	—
1044	C₂×C₄⋊C₄	—	89	1	no	—
1045	C₂×C₄⋊C₄	—	89	1	no	—
1046	C₂×C₄⋊C₄	—	89	1	no	—
1047	C₂×C₄⋊C₄	—	89	1	no	—
1048	C₂×C₄⋊C₄	—	89	1	no	—
1049	C₂×C₄⋊C₄	—	89	1	no	—
1050	C₂×C₄⋊C₄	—	89	1	no	—
1051	C₂×C₄⋊C₄	—	89	1	no	—
1052	C₂×C₄⋊C₄	—	89	1	no	—
1053	C₂×C₄⋊C₄	—	89	1	no	—
1054	C₂×C₄⋊C₄	—	89	1	no	—
1055	C₂×C₄⋊C₄	—	89	1	no	—
1056	C₂×C₄⋊C₄	—	89	1	no	—
1057	C₂×C₄⋊C₄	—	89	1	no	—
1058	C₂×C₄⋊C₄	—	89	1	no	—
1059	C₂×C₄⋊C₄	—	89	1	no	—
1060	C₂×C₄⋊C₄	—	89	1	no	—
1061	C₂×C₄⋊C₄	—	89	1	no	—
1062	C₂×C₄⋊C₄	—	89	1	no	—
1063	C₂×C₄⋊C₄	—	89	1	no	—
1064	C₂×C₄⋊C₄	—	89	1	no	—
1065	C₂×C₄⋊C₄	—	89	1	no	—
1066	C₂×C₄⋊C₄	—	89	1	no	—
1067	C₂×C₄⋊C₄	—	356	2	no	—
1068	C₂×C₄⋊C₄	—	356	2	no	—
1069	C₂×C₄⋊C₄	—	178	4	no	—
1070	C₂×C₄⋊C₄	—	178	4	no	—
1071	C₂×C₄⋊C₄	—	178	4	no	—
1072	C₂×C₄⋊C₄	—	178	4	no	—
1073	C₂×C₄⋊C₄	—	178	4	no	—
1074	C₂×C₄⋊C₄	—	178	4	no	—
1075	C₂×C₄⋊C₄	—	178	4	no	—
1076	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	—	89	1	no	—
1087	C₂×C₂²⋊C₄	—	89	1	no	—
1088	C₂×C₂²⋊C₄	—	89	1	no	—
1089	C₂×C₂²⋊C₄	—	89	8	no	—
1090	C₂×C₂²⋊C₄	—	89	1	no	—
1091	C₂×C₂²⋊C₄	—	89	1	no	—
1092	C₂×C₂²⋊C₄	—	89	1	no	—
1093	C₂×C₂²⋊C₄	—	89	1	no	—
1094	C₂×C₂²⋊C₄	—	89	1	no	—
1095	C₂×C₂²⋊C₄	—	89	1	no	—
1096	C₂×C₂²⋊C₄	—	89	1	no	—
1097	C₂×C₂²⋊C₄	—	89	1	no	—
1098	C₂×C₂²⋊C₄	—	89	1	no	—
1099	C₂×C₂²⋊C₄	—	89	1	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	356	2	no	—
1106	C₂×C₂²⋊C₄	—	178	4	no	—
1107	C₂×C₂²⋊C₄	—	178	4	no	—
1108	C₂×C₂²⋊C₄	—	178	4	no	—
1109	C₂×C₂²⋊C₄	—	178	4	no	—
1110	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1116	C₂×C₄²	—	89	1	no	—
1117	C₂×C₄²	—	89	1	no	—
1118	C₂×C₄²	—	89	1	no	—
1119	C₂×C₄²	—	89	1	no	—
1120	C₂×C₄²	—	89	1	no	—
1121	C₂×C₄²	—	89	1	no	—
1122	C₂×C₄²	—	89	1	no	—
1123	C₂×C₄²	—	89	1	no	—
1124	C₂×C₄²	—	89	1	no	—
1125	C₂×C₄²	—	89	1	no	—
1126	C₂×C₄²	—	89	1	no	—
1127	C₂×C₄²	—	89	1	no	—
1128	C₂×C₄²	—	356	2	no	—
1129	C₂×C₄²	—	178	4	no	—
1130	C₂×C₄²	—	178	4	no	—
1131	C₂×C₄²	—	178	4	no	—
1132	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1133	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1134	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1135	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1136	#95	—	89	1	no	—
1137	#95	—	89	1	no	—
1138	#95	—	89	1	no	—
1139	#95	—	89	1	no	—
1140	#95	—	89	1	no	—
1141	#95	—	89	1	no	—
1142	#95	—	89	1	no	—
1143	#95	—	89	1	no	—
1144	#95	—	89	1	no	—
1145	#95	—	89	1	no	—
1146	#95	—	89	1	no	—
1147	#95	—	89	1	no	—
1148	#95	—	89	1	no	—
1149	#95	—	89	1	no	—
1150	#95	—	89	1	no	—
1151	#95	—	89	1	no	—
1152	#95	—	89	1	no	—
1153	#95	—	89	1	no	—
1154	#95	—	89	1	no	—
1155	#95	—	89	1	no	—
1156	#95	—	89	1	no	—
1157	#95	—	89	1	no	—
1158	#95	—	89	1	no	—
1159	#95	—	89	1	no	—
1160	#95	—	89	1	no	—
1161	#95	—	89	1	no	—
1162	#95	—	89	1	no	—
1163	#95	—	89	1	no	—
1164	#95	—	89	1	no	—
1165	#95	—	89	1	no	—
1166	#95	—	89	1	no	—
1167	#95	—	89	1	no	—
1168	#95	—	89	1	no	—
1169	#95	—	89	1	no	—
1170	#95	—	89	1	no	—
1171	#95	—	89	1	no	—
1172	#95	C₂²×D₈₉	1	1	yes	characteristic
1173	#95	C₂²×D₈₉	1	1	yes	characteristic
1174	#95	C₂²×D₈₉	1	1	yes	characteristic
1175	#95	C₂²×D₈₉	1	1	yes	characteristic
1176	#95	C₂²×D₈₉	1	1	yes	characteristic
1177	#95	C₂²×D₈₉	1	1	yes	characteristic
1178	#95	C₂²×D₈₉	1	1	yes	characteristic
1179	#95	C₂²×D₈₉	1	1	yes	characteristic
1180	#95	C₂²×D₈₉	1	1	yes	characteristic
1181	#95	C₂²×D₈₉	1	1	yes	characteristic
1182	#95	C₂²×D₈₉	1	1	yes	characteristic
1183	#95	C₂²×D₈₉	1	1	yes	characteristic
1184	C₂⁴	—	89	1	no	—
1185	C₂⁴	—	89	4	no	—
1186	C₂⁴	—	89	1	no	—
1187	C₂⁴	—	178	2	no	—
1188	C₂⁴	—	178	2	no	—
1189	C₂⁴	—	178	2	no	—
1190	C₂⁴	—	178	2	no	—
1191	C₂⁴	—	178	2	no	—
1192	C₂⁴	—	178	2	no	—
1193	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1194	C₂×Q₈	—	2	2	no	—
1195	C₂×Q₈	—	2	2	no	—
1196	C₂×Q₈	—	2	2	no	—
1197	C₂×Q₈	—	2	2	no	—
1198	C₂×Q₈	—	2	2	no	—
1199	C₂×Q₈	—	4	1	no	—
1200	C₂×Q₈	—	356	1	no	—
1201	C₂×Q₈	—	356	1	no	—
1202	C₂×Q₈	—	356	1	no	—
1203	C₂×Q₈	—	356	16	no	—
1204	C₂×Q₈	—	178	2	no	—
1205	C₂×Q₈	—	178	2	no	—
1206	C₂×Q₈	—	178	2	no	—
1207	C₂×Q₈	—	178	2	no	—
1208	C₂×Q₈	—	178	2	no	—
1209	C₂×Q₈	—	178	2	no	—
1210	C₂×Q₈	—	178	2	no	—
1211	C₂×Q₈	—	178	2	no	—
1212	C₂×Q₈	—	178	2	no	—
1213	C₂×Q₈	—	178	2	no	—
1214	C₂×Q₈	—	178	32	no	—
1215	C₂×Q₈	—	178	2	no	—
1216	C₂×Q₈	—	178	2	no	—
1217	C₂×Q₈	—	178	2	no	—
1218	C₂×Q₈	—	178	2	no	—
1219	C₂×Q₈	—	178	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	89	1	no	—
1224	C₂²×C₄	—	89	1	no	—
1225	C₂²×C₄	—	89	1	no	—
1226	C₂²×C₄	—	89	1	no	—
1227	C₂²×C₄	—	89	1	no	—
1228	C₂²×C₄	—	89	1	no	—
1229	C₂²×C₄	—	89	1	no	—
1230	C₂²×C₄	—	89	1	no	—
1231	C₂²×C₄	—	89	4	no	—
1232	C₂²×C₄	—	89	4	no	—
1233	C₂²×C₄	—	89	4	no	—
1234	C₂²×C₄	—	89	4	no	—
1235	C₂²×C₄	—	89	4	no	—
1236	C₂²×C₄	—	89	4	no	—
1237	C₂²×C₄	—	89	4	no	—
1238	C₂²×C₄	—	89	4	no	—
1239	C₂²×C₄	—	89	1	no	—
1240	C₂²×C₄	—	89	1	no	—
1241	C₂²×C₄	—	89	1	no	—
1242	C₂²×C₄	—	89	1	no	—
1243	C₂²×C₄	—	89	1	no	—
1244	C₂²×C₄	—	89	1	no	—
1245	C₂²×C₄	—	356	1	no	—
1246	C₂²×C₄	—	356	1	no	—
1247	C₂²×C₄	—	356	16	no	—
1248	C₂²×C₄	—	356	1	no	—
1249	C₂²×C₄	—	178	2	no	—
1250	C₂²×C₄	—	178	2	no	—
1251	C₂²×C₄	—	178	2	no	—
1252	C₂²×C₄	—	178	2	no	—
1253	C₂²×C₄	—	178	2	no	—
1254	C₂²×C₄	—	178	2	no	—
1255	C₂²×C₄	—	178	2	no	—
1256	C₂²×C₄	—	178	2	no	—
1257	C₂²×C₄	—	178	2	no	—
1258	C₂²×C₄	—	178	2	no	—
1259	C₂²×C₄	—	178	2	no	—
1260	C₂²×C₄	—	178	2	no	—
1261	C₂²×C₄	—	178	2	no	—
1262	C₂²×C₄	—	178	2	no	—
1263	C₂²×C₄	—	178	2	no	—
1264	C₂²×C₄	—	178	2	no	—
1265	C₂²×C₄	—	178	2	no	—
1266	C₂²×C₄	—	178	2	no	—
1267	C₂²×C₄	—	178	2	no	—
1268	C₂²×C₄	—	178	2	no	—
1269	C₂²×C₄	—	178	2	no	—
1270	C₂²×C₄	—	178	2	no	—
1271	C₂²×C₄	—	178	2	no	—
1272	C₂²×C₄	—	178	2	no	—
1273	C₂²×C₄	—	178	2	no	—
1274	C₂²×C₄	—	178	2	no	—
1275	C₂²×C₄	—	178	2	no	—
1276	C₂²×C₄	—	178	2	no	—
1277	C₂²×C₄	—	178	2	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	—	178	2	no	—
1280	C₂²×C₄	—	178	2	no	—
1281	C₂²×C₄	—	178	2	no	—
1282	C₂²×C₄	—	178	2	no	—
1283	C₂²×C₄	—	178	2	no	—
1284	C₂²×C₄	—	178	2	no	—
1285	C₂²×C₄	—	178	2	no	—
1286	C₂²×C₄	—	178	2	no	—
1287	C₂²×C₄	—	178	2	no	—
1288	C₂²×C₄	—	178	2	no	—
1289	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1296	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1297	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1300	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1301	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1302	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1303	C₄⋊C₄	—	2	2	no	—
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	2	2	no	—
1306	C₄⋊C₄	—	2	2	no	—
1307	C₄⋊C₄	—	2	2	no	—
1308	C₄⋊C₄	—	2	2	no	—
1309	C₄⋊C₄	—	2	2	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	89	4	no	—
1313	C₄⋊C₄	—	89	4	no	—
1314	C₄⋊C₄	—	89	4	no	—
1315	C₄⋊C₄	—	356	1	no	—
1316	C₄⋊C₄	—	356	1	no	—
1317	C₄⋊C₄	—	356	1	no	—
1318	C₄⋊C₄	—	356	1	no	—
1319	C₄⋊C₄	—	356	1	no	—
1320	C₄⋊C₄	—	356	1	no	—
1321	C₄⋊C₄	—	178	2	no	—
1322	C₄⋊C₄	—	178	2	no	—
1323	C₄⋊C₄	—	178	2	no	—
1324	C₄⋊C₄	—	178	2	no	—
1325	C₄⋊C₄	—	178	2	no	—
1326	C₄⋊C₄	—	178	2	no	—
1327	C₄⋊C₄	—	178	2	no	—
1328	C₄⋊C₄	—	178	2	no	—
1329	C₄⋊C₄	—	178	2	no	—
1330	C₄⋊C₄	—	178	2	no	—
1331	C₄⋊C₄	—	178	2	no	—
1332	C₄⋊C₄	—	178	2	no	—
1333	C₄⋊C₄	—	178	2	no	—
1334	C₄⋊C₄	—	178	2	no	—
1335	C₄⋊C₄	—	178	2	no	—
1336	C₄⋊C₄	—	178	2	no	—
1337	C₄⋊C₄	—	178	2	no	—
1338	C₄⋊C₄	—	178	2	no	—
1339	C₄⋊C₄	—	178	2	no	—
1340	C₄⋊C₄	—	178	2	no	—
1341	C₄⋊C₄	—	178	2	no	—
1342	C₄⋊C₄	D₄×D₈₉	1	4	yes	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	2	2	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	89	4	no	—
1349	C₂²⋊C₄	—	89	4	no	—
1350	C₂²⋊C₄	—	89	4	no	—
1351	C₂²⋊C₄	—	356	1	no	—
1352	C₂²⋊C₄	—	356	1	no	—
1353	C₂²⋊C₄	—	356	1	no	—
1354	C₂²⋊C₄	—	178	2	no	—
1355	C₂²⋊C₄	—	178	2	no	—
1356	C₂²⋊C₄	—	178	2	no	—
1357	C₂²⋊C₄	—	178	2	no	—
1358	C₂²⋊C₄	—	178	2	no	—
1359	C₂²⋊C₄	—	178	2	no	—
1360	C₂²⋊C₄	—	178	2	no	—
1361	C₂²⋊C₄	—	178	2	no	—
1362	C₂²⋊C₄	—	178	2	no	—
1363	C₂²⋊C₄	—	178	2	no	—
1364	C₂²⋊C₄	—	178	2	no	—
1365	C₂²⋊C₄	—	178	2	no	—
1366	C₂²⋊C₄	Q₈×D₈₉	1	4	yes	complemented
1367	C₄²	—	2	2	no	—
1368	C₄²	—	2	2	no	—
1369	C₄²	—	2	2	no	—
1370	C₄²	—	4	1	no	—
1371	C₄²	—	356	1	no	—
1372	C₄²	—	356	1	no	—
1373	C₄²	—	356	1	no	—
1374	C₄²	—	178	2	no	—
1375	C₄²	—	178	2	no	—
1376	C₄²	—	178	2	no	—
1377	C₄²	—	178	2	no	—
1378	C₄²	—	178	2	no	—
1379	C₄²	—	178	2	no	—
1380	C₄²	—	178	2	no	—
1381	C₄²	—	178	2	no	—
1382	C₄²	—	178	2	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	89	2	no	—
1390	C₂³	—	89	2	no	—
1391	C₂³	—	89	2	no	—
1392	C₂³	—	89	2	no	—
1393	C₂³	—	89	2	no	—
1394	C₂³	—	89	2	no	—
1395	C₂³	—	89	2	no	—
1396	C₂³	—	89	2	no	—
1397	C₂³	—	356	4	no	—
1398	C₂³	—	356	4	no	—
1399	C₂³	—	356	4	no	—
1400	C₂³	—	356	4	no	—
1401	C₂³	—	178	8	no	—
1402	C₂³	—	178	8	no	—
1403	C₂³	—	178	8	no	—
1404	C₂³	—	178	1	no	—
1405	C₂³	—	178	1	no	—
1406	C₂³	—	178	1	no	—
1407	C₂³	—	178	1	no	—
1408	C₂³	—	178	1	no	—
1409	C₂³	—	178	1	no	—
1410	C₂³	C₂×Q₈×D₈₉	1	2	yes	—
1411	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1412	Q₈	—	2	8	no	—
1413	Q₈	—	4	4	no	—
1414	Q₈	—	356	4	no	—
1415	Q₈	—	356	4	no	—
1416	Q₈	—	356	4	no	—
1417	Q₈	—	178	8	no	—
1418	Q₈	—	178	8	no	—
1419	Q₈	—	178	8	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	89	2	no	—
1456	C₂×C₄	—	89	2	no	—
1457	C₂×C₄	—	89	2	no	—
1458	C₂×C₄	—	89	2	no	—
1459	C₂×C₄	—	89	2	no	—
1460	C₂×C₄	—	89	2	no	—
1461	C₂×C₄	—	89	2	no	—
1462	C₂×C₄	—	89	2	no	—
1463	C₂×C₄	—	356	4	no	—
1464	C₂×C₄	—	356	4	no	—
1465	C₂×C₄	—	356	4	no	—
1466	C₂×C₄	—	356	4	no	—
1467	C₂×C₄	—	356	4	no	—
1468	C₂×C₄	—	356	4	no	—
1469	C₂×C₄	—	356	4	no	—
1470	C₂×C₄	—	356	4	no	—
1471	C₂×C₄	—	356	4	no	—
1472	C₂×C₄	—	178	8	no	—
1473	C₂×C₄	—	178	8	no	—
1474	C₂×C₄	—	178	8	no	—
1475	C₂×C₄	—	178	8	no	—
1476	C₂×C₄	—	178	8	no	—
1477	C₂×C₄	—	178	8	no	—
1478	C₂×C₄	—	178	8	no	—
1479	C₂×C₄	—	178	8	no	—
1480	C₂×C₄	—	178	1	no	—
1481	C₂×C₄	—	178	1	no	—
1482	C₂×C₄	—	178	1	no	—
1483	C₂×C₄	—	178	1	no	—
1484	C₂×C₄	—	178	1	no	—
1485	C₂×C₄	—	178	1	no	—
1486	C₂×C₄	—	178	1	no	—
1487	C₂×C₄	—	178	1	no	—
1488	C₂×C₄	—	178	1	no	—
1489	C₂×C₄	—	178	1	no	—
1490	C₂×C₄	—	178	1	no	—
1491	C₂×C₄	—	178	1	no	—
1492	C₂×C₄	—	178	1	no	—
1493	C₂×C₄	—	178	1	no	—
1494	C₂×C₄	—	178	1	no	—
1495	C₂×C₄	—	178	1	no	—
1496	C₂×C₄	—	178	1	no	—
1497	C₂×C₄	—	178	1	no	—
1498	C₂×C₄	—	178	1	no	—
1499	C₂×C₄	—	178	1	no	—
1500	C₂×C₄	—	178	1	no	—
1501	C₂×C₄	—	178	1	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1515	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1516	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1517	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1518	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1519	C₂×C₄	#41×D₈₉	1	2	yes	—
1520	C₂×C₄	#41×D₈₉	1	2	yes	—
1521	C₂×C₄	#41×D₈₉	1	2	yes	—
1522	C₂²	—	2	2	no	—
1523	C₂²	—	2	2	no	—
1524	C₂²	—	2	2	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	89	4	no	—
1530	C₂²	—	89	4	no	—
1531	C₂²	—	89	4	no	—
1532	C₂²	—	89	4	no	—
1533	C₂²	—	89	4	no	—
1534	C₂²	—	89	4	no	—
1535	C₂²	—	89	4	no	—
1536	C₂²	—	356	16	no	—
1537	C₂²	—	356	1	no	—
1538	C₂²	—	356	1	no	—
1539	C₂²	—	356	1	no	—
1540	C₂²	—	356	1	no	—
1541	C₂²	—	178	2	no	—
1542	C₂²	—	178	2	no	—
1543	C₂²	—	178	2	no	—
1544	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1545	C₂²	C₂²×Q₈×D₈₉	1	1	yes	characteristic
1546	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1547	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1548	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1549	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1550	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1551	C₄	—	2	2	no	—
1552	C₄	—	2	2	no	—
1553	C₄	—	2	2	no	—
1554	C₄	—	2	2	no	—
1555	C₄	—	2	2	no	—
1556	C₄	—	2	2	no	—
1557	C₄	—	2	2	no	—
1558	C₄	—	2	2	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	356	1	no	—
1566	C₄	—	356	1	no	—
1567	C₄	—	356	1	no	—
1568	C₄	—	356	1	no	—
1569	C₄	—	356	1	no	—
1570	C₄	—	356	1	no	—
1571	C₄	—	178	2	no	—
1572	C₄	—	178	2	no	—
1573	C₄	—	178	2	no	—
1574	C₄	—	178	2	no	—
1575	C₄	—	178	2	no	—
1576	C₄	—	178	2	no	—
1577	C₄	—	178	2	no	—
1578	C₄	—	178	2	no	—
1579	C₂	—	4	2	no	—
1580	C₂	—	89	8	no	—
1581	C₂	—	356	2	no	—
1582	C₂	#525×D₈₉	1	1	yes	characteristic
1583	C₂	#533×D₈₉	1	1	yes	characteristic
1584	C₂	#542×D₈₉	1	1	yes	characteristic
1585	C₂	#546×D₈₉	1	1	yes	characteristic
1586	C₂	D₄×Q₈×D₈₉	1	1	yes	characteristic
1587	C₂	#554×D₈₉	1	1	yes	characteristic
1588	C₂	#556×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2465	C₂
prime radical	C₂⁴×D₈₉	C₂³
hypercenter	#2465	D₈₉
hypocenter	C₈₉	C₂×#2465
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2465

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×Q₈×D₈₉	C₂	semidirect
3. #26024280	C₂	semidirect
4. #26024279	C₂	semidirect
5. #26024278	C₂	semidirect
6. #26024277	C₂	semidirect
7. #26024276	C₂	semidirect
8. #26024275	C₂	semidirect
9. #26024274	C₂	semidirect
10. #26024273	C₂	semidirect
11. #26024272	C₂	semidirect
12. #26024271	C₂	semidirect
13. #26024270	C₂	semidirect
14. #26024269	C₂	semidirect
15. #26024268	C₂	semidirect
16. #26024267	C₂	semidirect
17. #26024266	C₂	semidirect
19. #395×D₈₉	C₂	semidirect
20. #395×D₈₉	C₂	semidirect
22. #391×D₈₉	C₂	semidirect
23. #389×D₈₉	C₂	semidirect
26. #387×D₈₉	C₂	semidirect
27. #387×D₈₉	C₂	semidirect
28. #387×D₈₉	C₂	semidirect
31. C₈₉×#2465	C₂	semidirect
43. C₂×Q₈×Dic₈₉	C₂²	semidirect
44. C₂×C₄×Dic₁₇₈	C₂²	semidirect
45. C₂×C₄×Dic₁₇₈	C₂²	semidirect
46. C₂×C₄×Dic₁₇₈	C₂²	semidirect
47. C₂×#15667977	C₂²	semidirect
48. C₂×#15667977	C₂²	semidirect
49. C₂×#15667977	C₂²	semidirect
78. #19151519	C₂²	semidirect
79. #19151519	C₂²	semidirect
80. #19151519	C₂²	semidirect
81. #19151519	C₂²	semidirect
82. #19151519	C₂²	semidirect
83. #19151519	C₂²	semidirect
84. #19151518	C₂²	semidirect
85. #19151518	C₂²	semidirect
86. #19151518	C₂²	semidirect
87. #19151518	C₂²	semidirect
88. #19151518	C₂²	semidirect
89. #19151518	C₂²	semidirect
90. #19151517	C₂²	semidirect
91. #19151517	C₂²	semidirect
99. #19151505	C₂²	semidirect
100. #19151504	C₂²	semidirect
101. #19151503	C₂²	semidirect
102. #19151502	C₂²	semidirect
103. #19151502	C₂²	semidirect
104. #19151502	C₂²	semidirect
105. #19151502	C₂²	semidirect
106. #19151497	C₂²	semidirect
107. #19151496	C₂²	semidirect
108. #19151495	C₂²	semidirect
109. #19151495	C₂²	semidirect
110. #19151494	C₂²	semidirect
111. #19151493	C₂²	semidirect
112. #19151493	C₂²	semidirect
127. #19151485	C₂²	semidirect
128. #19151485	C₂²	semidirect
129. #19151485	C₂²	semidirect
130. #19151484	C₂²	semidirect
131. #19151484	C₂²	semidirect
132. #19151484	C₂²	semidirect
133. #19151483	C₂²	semidirect
134. #19151483	C₂²	semidirect
135. #19151483	C₂²	semidirect
136. #19151482	C₂²	semidirect
137. #19151482	C₂²	semidirect
138. #19151482	C₂²	semidirect
139. #19151481	C₂²	semidirect
140. #19151481	C₂²	semidirect
141. #19151481	C₂²	semidirect
142. #19151480	C₂²	semidirect
143. #19151480	C₂²	semidirect
144. #19151480	C₂²	semidirect
145. #19151479	C₂²	semidirect
146. #19151479	C₂²	semidirect
147. #19151479	C₂²	semidirect
175. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
177. #395×C₈₉	C₂²	semidirect
178. #395×C₈₉	C₂²	semidirect
180. #391×C₈₉	C₂²	semidirect
181. #389×C₈₉	C₂²	semidirect
184. #387×C₈₉	C₂²	semidirect
185. #387×C₈₉	C₂²	semidirect
186. #387×C₈₉	C₂²	semidirect
299. C₂²⋊C₄×D₈₉	Q₈	semidirect
519. C₂²⋊Dic₈₉	C₂×Q₈	semidirect
530. #13083551	C₂×Q₈	semidirect
531. #13083551	C₂×Q₈	semidirect
583. C₂²⋊C₄×C₈₉	C₂×Q₈	semidirect
794. D₈₉	#2465	direct (N × H)
812. #2465	D₈₉	direct (N × H)
826. C₈₉	C₂×#2465	semidirect
847. C₂×C₄×Q₈	C₂×D₈₉	semidirect
890. #395	C₂×D₈₉	semidirect
891. #395	C₂×D₈₉	semidirect
907. #391	C₂×D₈₉	semidirect
915. #389	C₂×D₈₉	semidirect
953. #387	C₂×D₈₉	semidirect
954. #387	C₂×D₈₉	semidirect
955. #387	C₂×D₈₉	semidirect
1366. C₂²⋊C₄	Q₈×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₂²⋊Q₈×D₈₉	2
C₂×C₄×Q₈×D₈₉	2
#26024280	2
#26024279	2
#26024278	2
#26024277	2
#26024276	2
#26024275	2
#26024274	2
#26024273	2
#26024272	2
#26024271	2
#26024270	2
#26024269	2
#26024268	2
#26024267	2
#26024266	2
#396×D₈₉	2
#395×D₈₉	2
#393×D₈₉	2
#391×D₈₉	2
#389×D₈₉	2
#388×D₈₉	2
#387×D₈₉	2
#385×D₈₉	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2465	2
C₂×#2465	89

Subgroups — #2465×D89 #36722396

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2465×D₈₉ #36722396