Subgroups — #36523479

Order 22784.

666 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26029369	C₂	1	2	yes	maximal
2	#26019019	C₂	1	4	yes	maximal, complemented
3	#26019015	C₂	1	2	yes	maximal, complemented
4	#26019011	C₂	1	2	yes	maximal, complemented
5	#26019004	C₂	1	2	yes	maximal, complemented
6	#26019000	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19151351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄×#131×C₈₉	C₂	1	1	yes	maximal, characteristic
9	#19151729	—	2	2	no	—
10	#19151676	—	2	2	no	—
11	#19151670	—	2	4	no	—
12	#19151655	C₂²	1	4	yes	—
13	#19151651	C₂²	1	2	yes	—
14	#19151622	C₂²	1	4	yes	—
15	C₂×C₄⋊#10623494	C₂²	1	2	yes	—
16	#19151351	C₂²	1	2	yes	—
17	#19151351	C₂²	1	2	yes	—
18	#19151351	C₂²	1	1	yes	characteristic
19	#19151351	C₂²	1	1	yes	characteristic
20	#19151351	C₂²	1	4	yes	—
21	#19151349	C₂²	1	2	yes	—
22	#19151349	C₂²	1	4	yes	—
23	C₂×#131×C₈₉	C₄	1	1	yes	characteristic
24	C₂×#131×C₈₉	C₄	1	1	yes	characteristic
25	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
26	#405×C₈₉	C₄	1	1	yes	characteristic
27	#405×C₈₉	C₄	1	2	yes	—
28	#405×C₈₉	C₄	1	2	yes	—
29	#405×C₈₉	C₄	1	1	yes	characteristic
30	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic
31	C₄×M₁₆×C₈₉	C₂²	1	2	yes	—
32	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₈₉	C₂²	1	2	yes	—
34	C₂×#13083558	—	2	4	no	—
35	C₂²×#10623494	—	2	2	no	—
36	C₄⋊#10623494	—	2	2	no	—
37	C₄⋊#10623494	—	2	4	no	—
38	C₄⋊#10623494	C₂³	1	4	yes	—
39	C₄⋊#10623494	C₂³	1	2	yes	—
40	C₄⋊#10623494	C₂³	1	2	yes	—
41	C₂²⋊#10623494	—	2	2	no	—
42	C₂²⋊#10623494	—	2	4	no	—
43	#15667923	—	2	4	no	—
44	C₄×#10623494	—	2	2	no	—
45	C₂×#41×C₈₉	C₂×C₄	1	1	yes	characteristic
46	#131×C₈₉	—	2	4	no	—
47	#131×C₈₉	—	2	4	no	—
48	C₂×M₁₆×C₈₉	C₂×C₄	1	1	yes	characteristic
49	C₂×M₁₆×C₈₉	C₂×C₄	1	2	yes	—
50	C₂×M₁₆×C₈₉	C₂×C₄	1	2	yes	—
51	C₂×M₁₆×C₈₉	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₈×C₈₉	C₂×C₄	1	1	yes	characteristic
53	C₂²×C₈×C₈₉	C₂×C₄	1	2	yes	—
54	C₂²×C₈×C₈₉	C₂×C₄	1	2	yes	—
55	C₂²×C₈×C₈₉	C₂×C₄	1	1	yes	characteristic
56	C₄×Q₈×C₈₉	D₄	1	1	yes	characteristic
57	C₄×Q₈×C₈₉	Q₈	1	1	yes	characteristic
58	C₄×D₄×C₈₉	D₄	1	2	yes	—
59	C₄×D₄×C₈₉	D₄	1	1	yes	characteristic
60	C₄×D₄×C₈₉	Q₈	1	2	yes	—
61	C₄×D₄×C₈₉	Q₈	1	1	yes	characteristic
62	#117×C₈₉	C₂×C₄	1	2	yes	—
63	#117×C₈₉	C₂×C₄	1	1	yes	characteristic
64	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
65	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
66	#97×C₈₉	C₂×C₄	1	2	yes	—
67	#97×C₈₉	C₂×C₄	1	2	yes	—
68	#97×C₈₉	C₂×C₄	1	2	yes	—
69	C₄×C₈×C₈₉	C₂×C₄	1	2	yes	—
70	C₄×C₈×C₈₉	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₈₉	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₈₉	C₂×C₄	1	2	yes	—
73	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₈₉	C₂³	1	2	yes	—
76	#13083558	—	8	4	no	—
77	C₂×#10623494	—	2	4	no	—
78	C₂×#10623494	—	2	2	no	—
79	C₂×#10623494	—	2	2	no	—
80	C₂×#10623494	—	8	2	no	—
81	#41×C₈₉	—	2	2	no	—
82	#41×C₈₉	—	2	2	no	—
83	C₂×Q₈×C₈₉	C₄⋊C₄	1	1	yes	characteristic
84	C₂×D₄×C₈₉	C₄⋊C₄	1	2	yes	—
85	C₂×D₄×C₈₉	C₄⋊C₄	1	1	yes	characteristic
86	C₂²×C₄×C₈₉	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₈₉	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₈₉	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₈₉	C₂×Q₈	1	2	yes	—
91	C₂²×C₄×C₈₉	C₂×Q₈	1	1	yes	characteristic
92	M₁₆×C₈₉	—	2	2	no	—
93	M₁₆×C₈₉	—	2	4	no	—
94	M₁₆×C₈₉	—	2	4	no	—
95	M₁₆×C₈₉	M₁₆	1	4	yes	complemented
96	C₂×C₈×C₈₉	—	2	2	no	—
97	C₂×C₈×C₈₉	—	2	4	no	—
98	C₂×C₈×C₈₉	—	2	4	no	—
99	C₂×C₈×C₈₉	M₁₆	1	4	yes	complemented
100	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₈₉	C₂²×C₄	1	2	yes	—
103	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₈₉	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
106	C₄⋊C₄×C₈₉	C₄⋊C₄	1	2	yes	—
107	C₄⋊C₄×C₈₉	C₄⋊C₄	1	1	yes	characteristic
108	C₄⋊C₄×C₈₉	C₄⋊C₄	1	2	yes	—
109	C₄⋊C₄×C₈₉	C₄⋊C₄	1	1	yes	characteristic
110	C₂²⋊C₄×C₈₉	C₄⋊C₄	1	2	yes	—
111	C₂²⋊C₄×C₈₉	C₄⋊C₄	1	2	yes	—
112	C₂²⋊C₄×C₈₉	C₄⋊C₄	1	2	yes	—
113	C₄²×C₈₉	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₈₉	C₂²×C₄	1	2	yes	—
115	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₈₉	C₂×D₄	1	2	yes	—
117	C₄²×C₈₉	C₂×Q₈	1	2	yes	—
118	C₄²×C₈₉	C₂×Q₈	1	1	yes	characteristic
119	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
120	C₂³×C₈₉	C₂×C₄⋊C₄	1	2	yes	—
121	C₂³×C₈₉	C₂×C₄⋊C₄	1	1	yes	characteristic
122	Q₈×C₈₉	—	2	2	no	—
123	D₄×C₈₉	—	2	4	no	—
124	D₄×C₈₉	—	2	2	no	—
125	C₂×C₄×C₈₉	—	2	2	no	—
126	C₂×C₄×C₈₉	—	2	2	no	—
127	C₂×C₄×C₈₉	—	2	1	no	—
128	C₂×C₄×C₈₉	—	2	2	no	—
129	C₂×C₄×C₈₉	—	2	1	no	—
130	C₂×C₄×C₈₉	—	2	2	no	—
131	C₂×C₄×C₈₉	—	4	1	no	—
132	C₂×C₄×C₈₉	—	4	2	no	—
133	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	1	yes	characteristic
134	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	2	yes	—
135	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	1	yes	characteristic
136	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	2	yes	—
137	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	2	yes	—
138	C₂×C₄×C₈₉	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₈₉	C₂×M₁₆	1	2	yes	—
140	C₂×C₄×C₈₉	C₂×M₁₆	1	2	yes	—
141	C₂×C₄×C₈₉	C₂³×C₄	1	1	yes	characteristic
142	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
143	C₂×C₄×C₈₉	C₂²×Q₈	1	1	yes	characteristic
144	C₈×C₈₉	—	2	1	no	—
145	C₈×C₈₉	—	2	1	no	—
146	C₈×C₈₉	—	2	2	no	—
147	C₈×C₈₉	C₂×M₁₆	1	2	yes	—
148	C₈×C₈₉	C₂×M₁₆	1	4	yes	—
149	C₈×C₈₉	C₂×M₁₆	1	2	yes	—
150	#10623494	—	4	4	no	—
151	#10623494	—	4	2	no	—
152	#10623494	—	4	2	no	—
153	C₂²×C₈₉	—	2	1	no	—
154	C₂²×C₈₉	—	2	1	no	—
155	C₂²×C₈₉	—	2	2	no	—
156	C₂²×C₈₉	—	2	2	no	—
157	C₂²×C₈₉	—	2	2	no	—
158	C₂²×C₈₉	#423	1	2	yes	—
159	C₂²×C₈₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
160	C₄×C₈₉	—	2	2	no	—
161	C₄×C₈₉	—	2	1	no	—
162	C₄×C₈₉	—	2	2	no	—
163	C₄×C₈₉	—	2	1	no	—
164	C₄×C₈₉	—	2	1	no	—
165	C₄×C₈₉	—	2	2	no	—
166	C₄×C₈₉	#423	1	2	yes	—
167	C₄×C₈₉	C₂²×M₁₆	1	1	yes	characteristic
168	C₄×C₈₉	C₂²×M₁₆	1	1	yes	characteristic
169	C₄×C₈₉	#576	1	1	yes	characteristic
170	C₄×C₈₉	#578	1	1	yes	characteristic
171	#17799	—	89	1	no	maximal, Sylow
172	C₂×C₈₉	—	2	2	no	—
173	C₂×C₈₉	—	4	2	no	—
174	C₂×C₈₉	C₂×#423	1	1	yes	characteristic
175	C₂×C₈₉	#2913	1	1	yes	characteristic
176	C₂×C₈₉	#2916	1	1	yes	characteristic
177	#2989	—	89	2	no	—
178	C₄×#131	D₈₉	1	1	yes	characteristic
179	#1569	—	89	4	no	—
180	#1568	—	89	2	no	—
181	#1567	—	89	2	no	—
182	#1565	—	89	2	no	—
183	#1564	—	89	1	no	—
184	C₂×#335	—	89	1	no	—
185	C₈₉	#17799	1	1	yes	characteristic, complemented, Sylow
186	C₂×#131	Dic₈₉	1	1	yes	characteristic
187	C₂×#131	Dic₈₉	1	1	yes	characteristic
188	C₄×#41	C₂×D₈₉	1	1	yes	characteristic
189	#446	—	178	2	no	—
190	#436	—	178	2	no	—
191	#435	—	178	4	no	—
192	#432	—	89	4	no	—
193	#431	—	89	2	no	—
194	#423	—	89	4	no	—
195	C₂×C₄⋊C₈	—	89	2	no	—
196	#405	Dic₈₉	1	1	yes	characteristic
197	#405	Dic₈₉	1	2	yes	—
198	#405	Dic₈₉	1	2	yes	—
199	#405	Dic₈₉	1	1	yes	characteristic
200	C₄×M₁₆	C₂×D₈₉	1	1	yes	characteristic
201	C₄×M₁₆	C₂×D₈₉	1	2	yes	—
202	C₂×C₄×C₈	C₂×D₈₉	1	1	yes	characteristic
203	C₂×C₄×C₈	C₂×D₈₉	1	2	yes	—
204	#335	—	89	2	no	—
205	#335	—	89	2	no	—
206	#335	—	89	1	no	—
207	#335	—	89	1	no	—
208	#335	—	89	4	no	—
209	#334	—	89	2	no	—
210	#334	—	89	4	no	—
211	C₂×#41	C₂×Dic₈₉	1	1	yes	characteristic
212	#131	—	2	4	no	—
213	#131	—	2	4	no	—
214	C₂×M₁₆	—	178	4	no	—
215	C₂×M₁₆	C₂×Dic₈₉	1	1	yes	characteristic
216	C₂×M₁₆	C₂×Dic₈₉	1	2	yes	—
217	C₂×M₁₆	C₂×Dic₈₉	1	2	yes	—
218	C₂×M₁₆	C₂×Dic₈₉	1	1	yes	characteristic
219	C₂²×C₈	—	178	2	no	—
220	C₂²×C₈	C₂×Dic₈₉	1	1	yes	characteristic
221	C₂²×C₈	C₂×Dic₈₉	1	2	yes	—
222	C₂²×C₈	C₂×Dic₈₉	1	2	yes	—
223	C₂²×C₈	C₂×Dic₈₉	1	1	yes	characteristic
224	C₄×Q₈	Dic₁₇₈	1	1	yes	characteristic
225	C₄×Q₈	D₃₅₆	1	1	yes	characteristic
226	C₄×D₄	Dic₁₇₈	1	2	yes	—
227	C₄×D₄	Dic₁₇₈	1	1	yes	characteristic
228	C₄×D₄	D₃₅₆	1	2	yes	—
229	C₄×D₄	D₃₅₆	1	1	yes	characteristic
230	#117	C₂×Dic₈₉	1	2	yes	—
231	#117	C₂×Dic₈₉	1	1	yes	characteristic
232	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
233	C₂×C₄²	C₂²×D₈₉	1	2	yes	—
234	C₄⋊C₈	—	89	2	no	—
235	C₄⋊C₈	—	89	4	no	—
236	C₄⋊C₈	—	89	2	no	—
237	C₄⋊C₈	—	178	2	no	—
238	C₄⋊C₈	—	178	4	no	—
239	C₂²⋊C₈	—	178	2	no	—
240	C₂²⋊C₈	—	178	4	no	—
241	#97	—	178	4	no	—
242	#97	C₂×Dic₈₉	1	2	yes	—
243	#97	C₂×Dic₈₉	1	2	yes	—
244	#97	C₂×Dic₈₉	1	2	yes	—
245	C₄×C₈	—	178	2	no	—
246	C₄×C₈	C₂×Dic₈₉	1	2	yes	—
247	C₄×C₈	C₂×Dic₈₉	1	1	yes	characteristic
248	C₄×C₈	C₂×Dic₈₉	1	1	yes	characteristic
249	C₄×C₈	C₂×Dic₈₉	1	2	yes	—
250	C₄×C₈	C₂²×D₈₉	1	1	yes	characteristic
251	C₄×C₈	C₂²×D₈₉	1	2	yes	—
252	C₄×C₈	C₂²×D₈₉	1	1	yes	characteristic
253	#41	—	2	2	no	—
254	#41	—	2	2	no	—
255	C₂×Q₈	C₄⋊Dic₈₉	1	1	yes	characteristic
256	C₂×D₄	C₄⋊Dic₈₉	1	2	yes	—
257	C₂×D₄	C₄⋊Dic₈₉	1	1	yes	characteristic
258	C₂²×C₄	C₂²×Dic₈₉	1	2	yes	—
259	C₂²×C₄	C₂²×Dic₈₉	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₃₅₆	1	1	yes	characteristic
261	C₂²×C₄	C₂×D₃₅₆	1	2	yes	—
262	C₂²×C₄	C₂×Dic₁₇₈	1	2	yes	—
263	C₂²×C₄	C₂×Dic₁₇₈	1	1	yes	characteristic
264	M₁₆	—	2	2	no	—
265	M₁₆	—	2	4	no	—
266	M₁₆	—	2	4	no	—
267	M₁₆	—	712	4	no	—
268	M₁₆	#13083558	1	4	yes	complemented
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	4	no	—
271	C₂×C₈	—	2	4	no	—
272	C₂×C₈	—	178	2	no	—
273	C₂×C₈	—	178	2	no	—
274	C₂×C₈	—	178	4	no	—
275	C₂×C₈	—	712	2	no	—
276	C₂×C₈	#13083558	1	4	yes	complemented
277	C₂×C₈	C₂²×Dic₈₉	1	1	yes	characteristic
278	C₂×C₈	C₂²×Dic₈₉	1	1	yes	characteristic
279	C₂×C₈	C₂²×Dic₈₉	1	2	yes	—
280	C₂×C₈	C₂²×Dic₈₉	1	1	yes	characteristic
281	C₂×C₈	C₂²×Dic₈₉	1	2	yes	—
282	C₂×C₈	C₂²×Dic₈₉	1	1	yes	characteristic
283	C₄⋊C₄	C₄⋊Dic₈₉	1	2	yes	—
284	C₄⋊C₄	C₄⋊Dic₈₉	1	1	yes	characteristic
285	C₄⋊C₄	C₄⋊Dic₈₉	1	2	yes	—
286	C₄⋊C₄	C₄⋊Dic₈₉	1	1	yes	characteristic
287	C₂²⋊C₄	C₄⋊Dic₈₉	1	2	yes	—
288	C₂²⋊C₄	C₄⋊Dic₈₉	1	2	yes	—
289	C₂²⋊C₄	C₄⋊Dic₈₉	1	2	yes	—
290	C₄²	C₂²×Dic₈₉	1	1	yes	characteristic
291	C₄²	C₂²×Dic₈₉	1	2	yes	—
292	C₄²	C₂×D₃₅₆	1	1	yes	characteristic
293	C₄²	C₂×D₃₅₆	1	2	yes	—
294	C₄²	C₂×Dic₁₇₈	1	2	yes	—
295	C₄²	C₂×Dic₁₇₈	1	1	yes	characteristic
296	C₄²	C₂³×D₈₉	1	1	yes	characteristic
297	C₂³	C₂×C₄⋊Dic₈₉	1	2	yes	—
298	C₂³	C₂×C₄⋊Dic₈₉	1	1	yes	characteristic
299	Q₈	—	2	2	no	—
300	D₄	—	2	4	no	—
301	D₄	—	2	2	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	4	1	no	—
309	C₂×C₄	—	4	2	no	—
310	C₂×C₄	C₂×C₄⋊Dic₈₉	1	1	yes	characteristic
311	C₂×C₄	C₂×C₄⋊Dic₈₉	1	2	yes	—
312	C₂×C₄	C₂×C₄⋊Dic₈₉	1	1	yes	characteristic
313	C₂×C₄	C₂×C₄⋊Dic₈₉	1	2	yes	—
314	C₂×C₄	C₂×C₄⋊Dic₈₉	1	2	yes	—
315	C₂×C₄	C₂×C₄⋊Dic₈₉	1	1	yes	characteristic
316	C₂×C₄	C₂×#13083558	1	2	yes	—
317	C₂×C₄	C₂×#13083558	1	2	yes	—
318	C₂×C₄	C₂³×Dic₈₉	1	1	yes	characteristic
319	C₂×C₄	C₂²×D₃₅₆	1	1	yes	characteristic
320	C₂×C₄	C₂²×Dic₁₇₈	1	1	yes	characteristic
321	C₈	—	2	1	no	—
322	C₈	—	2	1	no	—
323	C₈	—	2	2	no	—
324	C₈	—	356	4	no	—
325	C₈	—	356	2	no	—
326	C₈	—	356	2	no	—
327	C₈	C₂×#13083558	1	2	yes	—
328	C₈	C₂×#13083558	1	4	yes	—
329	C₈	C₂×#13083558	1	2	yes	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	1	no	—
332	C₂²	—	2	2	no	—
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	#19151622	1	2	yes	—
336	C₂²	C₂²×C₄⋊Dic₈₉	1	1	yes	characteristic
337	C₄	—	2	2	no	—
338	C₄	—	2	1	no	—
339	C₄	—	2	2	no	—
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	2	2	no	—
343	C₄	#19151622	1	2	yes	—
344	C₄	C₂²×#13083558	1	1	yes	characteristic
345	C₄	C₂²×#13083558	1	1	yes	characteristic
346	C₄	#19152403	1	1	yes	characteristic
347	C₄	#19152415	1	1	yes	characteristic
348	C₂	—	2	2	no	—
349	C₂	—	4	2	no	—
350	C₂	C₂×#19151622	1	1	yes	characteristic
351	C₂	#26028852	1	1	yes	characteristic
352	C₂	#26028863	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₃₅₆
commutator	C₂×C₄×C₈₉	C₂³×C₄
Frattini	C₄²	C₂³×D₈₉
Fitting	C₄×#131×C₈₉	C₂
socle	C₂²×C₈₉	C₂²×C₄⋊C₄
prime radical	C₂×#41×C₈₉	C₂×C₄
cosocle	C₄²×C₈₉	C₂⁴
hypercenter	C₄×#131	D₈₉
hypocenter	C₈₉	#17799
LCS	G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ C₄×#131

Complements

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

N	H ≅ G/N	type
2. #26019019	C₂	semidirect
3. #26019015	C₂	semidirect
4. #26019011	C₂	semidirect
5. #26019004	C₂	semidirect
6. #26019000	C₂	semidirect
7. C₂×#19151351	C₂	semidirect
95. M₁₆×C₈₉	M₁₆	semidirect
99. C₂×C₈×C₈₉	M₁₆	semidirect
185. C₈₉	#17799	semidirect
268. M₁₆	#13083558	semidirect
276. C₂×C₈	#13083558	semidirect

Maximal subgroups

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

subgroup	index
#26029369	2
#26019019	2
#26019015	2
#26019011	2
#26019004	2
#26019000	2
C₂×#19151351	2
C₄×#131×C₈₉	2
#17799	89