Subgroups — #36707534

Order 22784.

600 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#405×D₈₉	C₂	1	1	yes	maximal, characteristic
2	#26022058	C₂	1	2	yes	maximal, complemented
3	#26022058	C₂	1	2	yes	maximal, complemented
4	#26022054	C₂	1	2	yes	maximal, complemented
5	#26022050	C₂	1	2	yes	maximal, complemented
6	#26022011	C₂	1	1	yes	maximal, characteristic, complemented
7	#26021862	C₂	1	1	yes	maximal, characteristic
8	C₂×#19151377	C₂	1	1	yes	maximal, characteristic
9	#26021851	C₂	1	1	yes	maximal, characteristic, complemented
10	#26021848	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2151	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×M₁₆×D₈₉	C₄	1	1	yes	characteristic
13	C₂²×C₈×D₈₉	C₂²	1	1	yes	characteristic
14	#117×D₈₉	C₄	1	1	yes	characteristic
15	C₂×#15667952	C₂²	1	1	yes	characteristic
16	C₂²×#13083549	C₂²	1	1	yes	characteristic
17	#19151556	C₄	1	1	yes	characteristic
18	#19151555	C₄	1	2	yes	—
19	#19151554	C₄	1	1	yes	characteristic
20	#19151553	C₂²	1	1	yes	characteristic
21	#19151552	C₂²	1	2	yes	—
22	#97×D₈₉	C₄	1	2	yes	—
23	C₄×C₈×D₈₉	C₂²	1	2	yes	—
24	C₄⋊#13083549	C₂²	1	2	yes	complemented
25	C₄⋊#13083549	C₂²	1	2	yes	complemented
26	#19151377	C₂²	1	1	yes	characteristic
27	#19151377	C₂²	1	2	yes	—
28	#19151377	C₂²	1	1	yes	characteristic
29	#19151377	C₂²	1	1	yes	characteristic
30	#19151377	C₂²	1	1	yes	characteristic
31	#19151377	C₂²	1	2	yes	—
32	#19151373	C₂²	1	2	yes	complemented
33	#19151373	C₂²	1	2	yes	complemented
34	C₁₆×Dic₈₉	C₂²	1	2	yes	complemented
35	C₁₆×Dic₈₉	C₂²	1	2	yes	complemented
36	C₂×M₃₂×C₈₉	C₂²	1	1	yes	characteristic
37	C₂²×C₁₆×C₈₉	C₂²	1	1	yes	characteristic
38	#405×C₈₉	C₂²	1	1	yes	characteristic
39	C₄⋊C₁₆×C₈₉	C₂²	1	2	yes	complemented
40	C₄⋊C₁₆×C₈₉	C₂²	1	2	yes	complemented
41	C₂²×C₄×D₈₉	C₂×C₄	1	1	yes	characteristic
42	C₂×#13083558	C₂×C₄	1	1	yes	characteristic
43	C₂×#13083557	C₂×C₄	1	2	yes	—
44	M₁₆×D₈₉	—	2	4	no	—
45	C₂²×#10623494	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₈₉	—	2	2	no	—
47	C₂×C₈×D₈₉	—	2	2	no	—
48	C₂×C₈×D₈₉	C₂×C₄	1	2	yes	—
49	C₂×C₈×D₈₉	C₂×C₄	1	1	yes	characteristic
50	C₂×C₈×D₈₉	C₂×C₄	1	1	yes	characteristic
51	C₂×C₈×D₈₉	C₂³	1	1	yes	characteristic
52	C₂×C₈×D₈₉	C₂³	1	1	yes	characteristic
53	#15667971	C₂×C₄	1	1	yes	characteristic
54	#15667970	C₈	1	1	yes	characteristic
55	#15667970	C₈	1	1	yes	characteristic
56	#15667969	C₂×C₄	1	2	yes	—
57	#15667968	C₈	1	2	yes	—
58	C₄⋊C₄×D₈₉	C₈	1	1	yes	characteristic
59	C₄⋊C₄×D₈₉	C₈	1	1	yes	characteristic
60	C₂²⋊C₄×D₈₉	C₈	1	2	yes	—
61	C₄²×D₈₉	C₂×C₄	1	2	yes	—
62	#15667952	—	2	2	no	—
63	C₂×#13083549	—	2	2	no	—
64	C₂×#13083549	C₂³	1	1	yes	characteristic
65	C₂×#13083549	C₂³	1	2	yes	—
66	C₂×#13083549	C₂³	1	1	yes	characteristic
67	#15667923	C₂×C₄	1	2	yes	—
68	#15667922	C₂×C₄	1	2	yes	—
69	#15667922	C₂×C₄	1	2	yes	—
70	C₄×#10623494	C₂×C₄	1	2	yes	—
71	C₈×Dic₈₉	C₂×C₄	1	2	yes	—
72	C₈×Dic₈₉	C₂³	1	2	yes	—
73	C₂×M₁₆×C₈₉	C₂×C₄	1	1	yes	characteristic
74	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
75	#117×C₈₉	C₂×C₄	1	1	yes	characteristic
76	M₃₂×C₈₉	—	2	2	no	—
77	C₂×C₁₆×C₈₉	—	2	2	no	—
78	C₂×C₁₆×C₈₉	C₂³	1	1	yes	characteristic
79	C₂×C₁₆×C₈₉	C₂³	1	2	yes	—
80	C₂×C₁₆×C₈₉	C₂³	1	1	yes	characteristic
81	#97×C₈₉	C₂×C₄	1	2	yes	—
82	C₄×C₈×C₈₉	C₂³	1	2	yes	—
83	C₂³×D₈₉	C₂×C₈	1	1	yes	characteristic
84	C₂²×Dic₈₉	C₂×C₈	1	1	yes	characteristic
85	C₂×C₄×D₈₉	—	2	2	no	—
86	C₂×C₄×D₈₉	—	2	2	no	—
87	C₂×C₄×D₈₉	C₂×C₈	1	1	yes	characteristic
88	C₂×C₄×D₈₉	C₂×C₈	1	1	yes	characteristic
89	C₂×C₄×D₈₉	C₂×C₈	1	2	yes	—
90	C₂×C₄×D₈₉	C₂×C₈	1	2	yes	—
91	C₂×C₄×D₈₉	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₄×D₈₉	C₂²×C₄	1	1	yes	characteristic
93	#13083558	M₁₆	1	4	yes	—
94	#13083557	—	2	4	no	—
95	C₂×#10623494	—	2	2	no	—
96	C₂×#10623494	C₂²×C₄	1	1	yes	characteristic
97	C₂×#10623494	C₂²×C₄	1	1	yes	characteristic
98	C₂×#10623494	C₂²×C₄	1	2	yes	—
99	C₈×D₈₉	—	2	2	no	—
100	C₈×D₈₉	—	2	2	no	—
101	C₈×D₈₉	—	2	1	no	—
102	C₈×D₈₉	—	2	1	no	—
103	C₈×D₈₉	—	2	1	no	—
104	C₈×D₈₉	—	2	1	no	—
105	C₈×D₈₉	—	2	4	no	—
106	C₄⋊Dic₈₉	C₂×C₈	1	1	yes	characteristic
107	C₄⋊Dic₈₉	C₂×C₈	1	1	yes	characteristic
108	#13083553	C₂×C₈	1	2	yes	—
109	#13083553	C₂×C₈	1	2	yes	—
110	C₂²⋊Dic₈₉	C₂×C₈	1	2	yes	—
111	#13083551	C₂×C₈	1	2	yes	—
112	#13083551	C₂×C₈	1	2	yes	—
113	C₄×Dic₈₉	C₂×C₈	1	2	yes	—
114	C₄×Dic₈₉	C₂×C₈	1	2	yes	—
115	C₄×Dic₈₉	C₂²×C₄	1	2	yes	—
116	#13083549	—	2	1	no	—
117	#13083549	—	2	1	no	—
118	#13083549	—	2	2	no	—
119	C₂²×C₄×C₈₉	C₂²×C₄	1	1	yes	characteristic
120	M₁₆×C₈₉	—	2	2	no	—
121	C₂×C₈×C₈₉	C₂²×C₄	1	2	yes	—
122	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₈×C₈₉	#41	1	2	yes	—
124	C₂×C₈×C₈₉	#41	1	2	yes	—
125	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
126	C₄⋊C₄×C₈₉	C₂×C₈	1	1	yes	characteristic
127	C₄⋊C₄×C₈₉	C₂×C₈	1	1	yes	characteristic
128	C₂²⋊C₄×C₈₉	C₂×C₈	1	2	yes	—
129	C₄²×C₈₉	C₂²×C₄	1	2	yes	—
130	C₁₆×C₈₉	—	2	1	no	—
131	C₁₆×C₈₉	—	2	1	no	—
132	C₁₆×C₈₉	—	2	2	no	—
133	C₂³×C₈₉	C₂²×C₈	1	1	yes	characteristic
134	C₂²×D₈₉	—	2	2	no	—
135	C₂²×D₈₉	—	2	2	no	—
136	C₂²×D₈₉	—	4	1	no	—
137	C₂²×D₈₉	C₂²×C₈	1	1	yes	characteristic
138	C₂²×D₈₉	C₂²×C₈	1	1	yes	characteristic
139	C₂×C₄×C₈₉	#117	1	2	yes	—
140	C₂×C₄×C₈₉	C₂²×C₈	1	2	yes	—
141	C₂×C₄×C₈₉	C₂²×C₈	1	2	yes	—
142	C₂×C₄×C₈₉	C₂²×C₈	1	1	yes	characteristic
143	C₂×C₄×C₈₉	C₂×M₁₆	1	2	yes	—
144	C₂×C₄×C₈₉	C₂³×C₄	1	1	yes	characteristic
145	C₂×Dic₈₉	—	2	2	no	—
146	C₂×Dic₈₉	C₂²×C₈	1	1	yes	characteristic
147	C₂×Dic₈₉	C₂²×C₈	1	2	yes	—
148	C₂×Dic₈₉	C₂²×C₈	1	2	yes	—
149	C₂×Dic₈₉	C₂²×C₈	1	1	yes	characteristic
150	C₄×D₈₉	—	2	4	no	—
151	C₄×D₈₉	—	2	1	no	—
152	C₄×D₈₉	—	2	1	no	—
153	C₄×D₈₉	—	2	1	no	—
154	C₄×D₈₉	—	2	1	no	—
155	C₄×D₈₉	—	2	2	no	—
156	C₄×D₈₉	—	2	2	no	—
157	C₄×D₈₉	—	4	2	no	—
158	C₈×C₈₉	—	2	2	no	—
159	C₈×C₈₉	#117	1	2	yes	—
160	C₈×C₈₉	C₂×#41	1	1	yes	characteristic
161	C₈×C₈₉	C₂×#41	1	1	yes	characteristic
162	#10623494	—	2	1	no	—
163	#10623494	—	2	1	no	—
164	#10623494	C₂×M₁₆	1	4	yes	—
165	C₂²×C₈₉	—	2	1	no	—
166	C₂²×C₈₉	—	2	1	no	—
167	C₂²×C₈₉	#431	1	2	yes	—
168	C₂²×C₈₉	C₂³×C₈	1	1	yes	characteristic
169	C₂×D₈₉	—	2	1	no	—
170	C₂×D₈₉	—	2	1	no	—
171	C₂×D₈₉	—	2	1	no	—
172	C₂×D₈₉	—	2	1	no	—
173	C₂×D₈₉	—	2	1	no	—
174	C₂×D₈₉	—	4	4	no	—
175	C₂×D₈₉	#504	1	2	yes	—
176	C₄×C₈₉	—	2	2	no	—
177	C₄×C₈₉	—	2	2	no	—
178	C₄×C₈₉	#431	1	2	yes	—
179	C₄×C₈₉	C₂×#117	1	1	yes	characteristic
180	C₄×C₈₉	C₂²×M₁₆	1	1	yes	characteristic
181	Dic₈₉	—	2	2	no	—
182	Dic₈₉	—	2	2	no	—
183	Dic₈₉	—	2	1	no	—
184	Dic₈₉	—	2	1	no	—
185	#33422	—	89	1	no	maximal, Sylow
186	C₂×C₈₉	—	2	2	no	—
187	C₂×C₈₉	C₂×#431	1	1	yes	characteristic
188	C₂×C₈₉	C₂×#504	1	1	yes	characteristic
189	C₂×C₈₉	#3407	1	1	yes	characteristic
190	D₈₉	—	2	2	no	—
191	D₈₉	—	4	1	no	—
192	C₂×#405	—	89	1	no	—
193	#2164	—	89	2	no	—
194	#2164	—	89	2	no	—
195	#2163	—	89	2	no	—
196	#2162	—	89	2	no	—
197	#2151	—	89	1	no	—
198	#2151	D₈₉	1	1	yes	characteristic, complemented
199	#2112	—	89	1	no	—
200	C₂×C₂²⋊C₁₆	—	89	1	no	—
201	#2108	—	89	1	no	—
202	#2108	—	89	1	no	—
203	C₈₉	#33422	1	1	yes	characteristic, complemented, Sylow
204	C₂²×M₁₆	—	89	1	no	—
205	C₂³×C₈	—	89	1	no	—
206	C₂×#117	—	89	1	no	—
207	C₂×M₃₂	—	89	1	no	—
208	C₂×M₃₂	C₂×D₈₉	1	1	yes	characteristic
209	C₂²×C₁₆	—	89	1	no	—
210	C₂²×C₁₆	C₂×D₈₉	1	1	yes	characteristic
211	#405	—	89	1	no	—
212	#405	—	89	1	no	—
213	#405	—	89	1	no	—
214	#405	—	89	2	no	—
215	#405	—	89	2	no	—
216	#405	C₂×D₈₉	1	1	yes	characteristic
217	C₂×#97	—	89	2	no	—
218	C₂×C₄×C₈	—	89	2	no	—
219	C₄⋊C₁₆	—	89	2	no	—
220	C₄⋊C₁₆	—	89	2	no	—
221	C₄⋊C₁₆	C₂×D₈₉	1	2	yes	complemented
222	C₄⋊C₁₆	C₂×D₈₉	1	2	yes	complemented
223	C₂²⋊C₁₆	—	89	1	no	—
224	C₂²⋊C₁₆	—	89	1	no	—
225	C₂²⋊C₁₆	—	89	1	no	—
226	C₂²⋊C₁₆	—	89	1	no	—
227	C₂²⋊C₁₆	—	89	2	no	—
228	C₂²⋊C₁₆	—	89	2	no	—
229	#346	—	89	2	no	—
230	#346	—	89	2	no	—
231	C₄×C₁₆	—	89	2	no	—
232	C₄×C₁₆	—	89	2	no	—
233	C₂³×C₄	—	89	1	no	—
234	C₂×M₁₆	—	89	1	no	—
235	C₂×M₁₆	—	89	2	no	—
236	C₂×M₁₆	—	178	4	no	—
237	C₂×M₁₆	C₄×D₈₉	1	1	yes	characteristic
238	C₂²×C₈	—	89	1	no	—
239	C₂²×C₈	—	89	1	no	—
240	C₂²×C₈	—	89	1	no	—
241	C₂²×C₈	—	89	2	no	—
242	C₂²×C₈	—	89	1	no	—
243	C₂²×C₈	—	89	1	no	—
244	C₂²×C₈	—	178	2	no	—
245	C₂²×C₈	—	178	2	no	—
246	C₂²×C₈	C₂²×D₈₉	1	1	yes	characteristic
247	#117	—	89	1	no	—
248	#117	—	89	1	no	—
249	#117	—	89	1	no	—
250	#117	—	89	2	no	—
251	#117	—	89	2	no	—
252	#117	C₄×D₈₉	1	1	yes	characteristic
253	C₂×C₄⋊C₄	—	89	1	no	—
254	C₂×C₄⋊C₄	—	89	1	no	—
255	C₂×C₂²⋊C₄	—	89	2	no	—
256	C₂×C₄²	—	89	2	no	—
257	M₃₂	—	2	2	no	—
258	M₃₂	—	178	2	no	—
259	C₂×C₁₆	—	2	2	no	—
260	C₂×C₁₆	—	89	1	no	—
261	C₂×C₁₆	—	89	2	no	—
262	C₂×C₁₆	—	89	1	no	—
263	C₂×C₁₆	—	178	2	no	—
264	C₂×C₁₆	C₂²×D₈₉	1	1	yes	characteristic
265	C₂×C₁₆	C₂²×D₈₉	1	2	yes	—
266	C₂×C₁₆	C₂²×D₈₉	1	1	yes	characteristic
267	#97	—	89	2	no	—
268	#97	—	89	2	no	—
269	#97	—	89	2	no	—
270	#97	C₄×D₈₉	1	2	yes	—
271	C₄×C₈	—	89	2	no	—
272	C₄×C₈	—	89	2	no	—
273	C₄×C₈	—	89	2	no	—
274	C₄×C₈	C₂²×D₈₉	1	2	yes	—
275	C₂⁴	—	89	1	no	—
276	C₂²×C₄	—	89	1	no	—
277	C₂²×C₄	—	89	2	no	—
278	C₂²×C₄	—	89	2	no	—
279	C₂²×C₄	—	89	1	no	—
280	C₂²×C₄	—	89	1	no	—
281	C₂²×C₄	—	89	1	no	—
282	C₂²×C₄	—	89	1	no	—
283	C₂²×C₄	—	178	2	no	—
284	C₂²×C₄	—	178	2	no	—
285	C₂²×C₄	C₂×C₄×D₈₉	1	1	yes	characteristic
286	M₁₆	—	2	2	no	—
287	M₁₆	—	89	4	no	—
288	M₁₆	—	178	4	no	—
289	C₂×C₈	—	89	2	no	—
290	C₂×C₈	—	89	1	no	—
291	C₂×C₈	—	89	1	no	—
292	C₂×C₈	—	178	4	no	—
293	C₂×C₈	—	178	2	no	—
294	C₂×C₈	—	178	2	no	—
295	C₂×C₈	—	178	2	no	—
296	C₂×C₈	—	178	1	no	—
297	C₂×C₈	—	178	1	no	—
298	C₂×C₈	—	178	1	no	—
299	C₂×C₈	—	178	1	no	—
300	C₂×C₈	C₂×C₄×D₈₉	1	2	yes	—
301	C₂×C₈	C₂×C₄×D₈₉	1	1	yes	characteristic
302	C₂×C₈	#13083573	1	2	yes	—
303	C₂×C₈	#13083575	1	2	yes	—
304	C₂×C₈	C₂³×D₈₉	1	1	yes	characteristic
305	C₄⋊C₄	—	89	2	no	—
306	C₄⋊C₄	—	89	2	no	—
307	C₄⋊C₄	—	89	1	no	—
308	C₄⋊C₄	—	89	1	no	—
309	C₄⋊C₄	C₈×D₈₉	1	1	yes	characteristic
310	C₄⋊C₄	C₈×D₈₉	1	1	yes	characteristic
311	C₂²⋊C₄	—	89	2	no	—
312	C₂²⋊C₄	—	89	2	no	—
313	C₂²⋊C₄	—	89	2	no	—
314	C₂²⋊C₄	C₈×D₈₉	1	2	yes	—
315	C₄²	—	89	2	no	—
316	C₄²	—	89	2	no	—
317	C₄²	—	89	2	no	—
318	C₄²	C₂×C₄×D₈₉	1	2	yes	—
319	C₁₆	—	2	1	no	—
320	C₁₆	—	2	1	no	—
321	C₁₆	—	2	2	no	—
322	C₁₆	—	178	1	no	—
323	C₁₆	—	178	1	no	—
324	C₁₆	—	178	2	no	—
325	C₂³	—	89	1	no	—
326	C₂³	—	89	1	no	—
327	C₂³	—	356	1	no	—
328	C₂³	—	178	2	no	—
329	C₂³	—	178	2	no	—
330	C₂³	C₂×C₈×D₈₉	1	1	yes	characteristic
331	C₂×C₄	—	89	1	no	—
332	C₂×C₄	—	89	2	no	—
333	C₂×C₄	—	89	2	no	—
334	C₂×C₄	—	89	1	no	—
335	C₂×C₄	—	356	2	no	—
336	C₂×C₄	—	178	4	no	—
337	C₂×C₄	—	178	2	no	—
338	C₂×C₄	—	178	2	no	—
339	C₂×C₄	—	178	2	no	—
340	C₂×C₄	—	178	1	no	—
341	C₂×C₄	—	178	1	no	—
342	C₂×C₄	—	178	1	no	—
343	C₂×C₄	—	178	1	no	—
344	C₂×C₄	#15667970	1	2	yes	—
345	C₂×C₄	C₂×C₈×D₈₉	1	2	yes	—
346	C₂×C₄	C₂×C₈×D₈₉	1	2	yes	—
347	C₂×C₄	C₂×C₈×D₈₉	1	1	yes	characteristic
348	C₂×C₄	M₁₆×D₈₉	1	2	yes	—
349	C₂×C₄	C₂²×C₄×D₈₉	1	1	yes	characteristic
350	C₈	—	2	2	no	—
351	C₈	—	89	4	no	—
352	C₈	—	178	1	no	—
353	C₈	—	178	1	no	—
354	C₈	#15667970	1	2	yes	—
355	C₈	C₂×#13083573	1	1	yes	characteristic
356	C₈	C₂×#13083575	1	1	yes	characteristic
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	89	2	no	—
360	C₂²	—	356	4	no	—
361	C₂²	—	178	1	no	—
362	C₂²	—	178	1	no	—
363	C₂²	—	178	1	no	—
364	C₂²	—	178	1	no	—
365	C₂²	—	178	1	no	—
366	C₂²	#19151650	1	2	yes	—
367	C₂²	C₂²×C₈×D₈₉	1	1	yes	characteristic
368	C₄	—	2	2	no	—
369	C₄	—	2	2	no	—
370	C₄	—	178	1	no	—
371	C₄	—	178	1	no	—
372	C₄	—	178	2	no	—
373	C₄	—	178	2	no	—
374	C₄	#19151650	1	2	yes	—
375	C₄	C₂×#15667970	1	1	yes	characteristic
376	C₄	C₂×M₁₆×D₈₉	1	1	yes	characteristic
377	C₂	—	2	2	no	—
378	C₂	—	356	1	no	—
379	C₂	—	178	2	no	—
380	C₂	C₂×#19151650	1	1	yes	characteristic
381	C₂	#504×D₈₉	1	1	yes	characteristic
382	C₂	#26033353	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₈₉
commutator, socle	C₂²×C₈₉	C₂³×C₈
Fitting	C₈₉×#2151	C₂
prime radical	C₂³×D₈₉	C₂×C₈
cosocle	C₂×C₈×C₈₉	C₂⁴
hypercenter	#2151	D₈₉
hypocenter	C₈₉	#33422
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂×C₈ ◁ #2151

Complements

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

N	H ≅ G/N	type
2. #26022058	C₂	semidirect
3. #26022058	C₂	semidirect
4. #26022054	C₂	semidirect
5. #26022050	C₂	semidirect
6. #26022011	C₂	semidirect
9. #26021851	C₂	semidirect
10. #26021848	C₂	semidirect
11. C₈₉×#2151	C₂	semidirect
24. C₄⋊#13083549	C₂²	semidirect
25. C₄⋊#13083549	C₂²	semidirect
32. #19151373	C₂²	semidirect
33. #19151373	C₂²	semidirect
34. C₁₆×Dic₈₉	C₂²	semidirect
35. C₁₆×Dic₈₉	C₂²	semidirect
39. C₄⋊C₁₆×C₈₉	C₂²	semidirect
40. C₄⋊C₁₆×C₈₉	C₂²	semidirect
198. #2151	D₈₉	semidirect
203. C₈₉	#33422	semidirect
221. C₄⋊C₁₆	C₂×D₈₉	semidirect
222. C₄⋊C₁₆	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#405×D₈₉	2
#26022058	2
#26022054	2
#26022050	2
#26022011	2
#26021862	2
C₂×#19151377	2
#26021851	2
#26021848	2
C₈₉×#2151	2
#33422	89