Subgroups — #34189532

Order 20224.

654 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098840	C₂	1	1	yes	maximal, characteristic
2	#23768354	C₂	1	1	yes	maximal, characteristic
3	#23764324	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19098309	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19098292	C₂	1	1	yes	maximal, characteristic
6	#23761240	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#500×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14579137	—	2	2	no	—
9	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
10	#19098840	—	2	2	no	—
11	#19098840	—	2	2	no	—
12	C₂×#14579094	—	2	1	no	—
13	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×#14579085	—	2	2	no	—
16	C₂×#14579081	—	2	1	no	—
17	#19098498	—	2	2	no	—
18	#19098464	—	2	1	no	—
19	#19098432	—	2	1	no	—
20	C₄×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
21	#19098309	—	2	2	no	—
22	#19098292	—	2	2	no	—
23	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
25	#500×C₇₉	—	2	2	no	—
26	#500×C₇₉	—	2	2	no	—
27	C₂×#107×C₇₉	—	2	2	no	—
28	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
29	C₂²×D₃₁₆	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₇₉	—	2	1	no	—
31	C₂²×C₇₉⋊C₈	—	2	1	no	—
32	C₂²×C₇₉⋊C₈	—	2	1	no	—
33	#14579137	—	4	4	no	—
34	#14579137	—	4	4	no	—
35	C₄×D₃₁₆	—	2	1	no	—
36	C₄×D₃₁₆	—	2	1	no	—
37	C₄×D₃₁₆	—	2	1	no	—
38	C₄×D₃₁₆	—	2	1	no	—
39	C₂×C₄⋊Dic₇₉	D₄	1	1	yes	characteristic
40	C₂×C₄⋊Dic₇₉	D₄	1	2	yes	—
41	C₂×Dic₇₉⋊C₄	—	2	4	no	—
42	C₂×(C₂×D₇₉)⋊C₄	—	2	4	no	—
43	C₂×(C₂×D₇₉)⋊C₄	—	2	1	no	—
44	C₂×C₄×Dic₇₉	—	2	1	no	—
45	#14579094	—	2	4	no	—
46	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
47	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
48	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
49	C₄⋊(C₇₉⋊C₈)	D₄	1	2	yes	—
50	#14579085	—	4	4	no	—
51	#14579081	—	2	4	no	—
52	C₇₉⋊#95	—	2	1	no	—
53	C₂²×Q₈×C₇₉	—	2	1	no	—
54	C₂²×Q₈×C₇₉	—	2	1	no	—
55	C₂²×C₈×C₇₉	—	2	1	no	—
56	C₄⋊Q₈×C₇₉	—	2	1	no	—
57	C₄⋊Q₈×C₇₉	—	2	1	no	—
58	C₄⋊Q₈×C₇₉	—	2	1	no	—
59	C₄⋊Q₈×C₇₉	—	2	1	no	—
60	C₄⋊Q₈×C₇₉	—	2	1	no	—
61	C₄⋊Q₈×C₇₉	—	2	1	no	—
62	C₄⋊Q₈×C₇₉	—	2	1	no	—
63	C₄⋊Q₈×C₇₉	D₄	1	2	yes	—
64	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
65	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
66	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
67	C₂×C₄⋊C₄×C₇₉	D₄	1	2	yes	—
68	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
69	#107×C₇₉	—	2	8	no	—
70	C₄×C₈×C₇₉	—	2	1	no	—
71	C₄×C₈×C₇₉	D₄	1	2	yes	—
72	C₂³×D₇₉	—	2	1	no	—
73	C₂×D₃₁₆	—	2	1	no	—
74	C₂×D₃₁₆	—	2	1	no	—
75	C₂×D₃₁₆	—	2	1	no	—
76	C₂×D₃₁₆	—	2	1	no	—
77	C₂×D₃₁₆	—	2	1	no	—
78	C₂×D₃₁₆	Q₁₆	1	2	yes	—
79	C₂²×Dic₇₉	—	2	2	no	—
80	C₂²×Dic₇₉	—	2	1	no	—
81	C₂×C₄×D₇₉	—	4	1	no	—
82	C₂×C₄×D₇₉	—	4	1	no	—
83	C₂×C₄×D₇₉	—	4	2	no	—
84	C₂×C₄×D₇₉	—	4	2	no	—
85	C₂×C₇₉⋊C₈	—	2	2	no	—
86	C₂×C₇₉⋊C₈	—	4	1	no	—
87	C₂×C₇₉⋊C₈	—	4	2	no	—
88	C₂×C₇₉⋊C₈	—	4	1	no	—
89	C₂×C₇₉⋊C₈	—	4	1	no	—
90	C₄⋊Dic₇₉	—	2	1	no	—
91	C₄⋊Dic₇₉	—	2	1	no	—
92	C₄⋊Dic₇₉	—	2	2	no	—
93	C₄⋊Dic₇₉	D₈	1	4	yes	—
94	Dic₇₉⋊C₄	—	4	8	no	—
95	(C₂×D₇₉)⋊C₄	—	4	8	no	—
96	(C₂×D₇₉)⋊C₄	—	4	1	no	—
97	(C₂×D₇₉)⋊C₄	—	4	1	no	—
98	C₄×Dic₇₉	—	4	1	no	—
99	C₄×Dic₇₉	—	4	1	no	—
100	C₂×Q₈×C₇₉	—	2	2	no	—
101	C₂×Q₈×C₇₉	—	4	1	no	—
102	C₂×Q₈×C₇₉	—	4	1	no	—
103	C₂×Q₈×C₇₉	—	4	1	no	—
104	C₂×Q₈×C₇₉	—	4	2	no	—
105	C₂×Q₈×C₇₉	—	4	2	no	—
106	C₂×Q₈×C₇₉	—	4	2	no	—
107	C₂×Q₈×C₇₉	—	4	2	no	—
108	C₂²×C₄×C₇₉	—	2	2	no	—
109	C₂²×C₄×C₇₉	—	4	1	no	—
110	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
111	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₇₉	—	2	4	no	—
114	C₂×C₈×C₇₉	—	2	2	no	—
115	C₄⋊C₄×C₇₉	—	2	2	no	—
116	C₄⋊C₄×C₇₉	—	2	2	no	—
117	C₄⋊C₄×C₇₉	—	2	2	no	—
118	C₄⋊C₄×C₇₉	—	2	2	no	—
119	C₄⋊C₄×C₇₉	—	4	1	no	—
120	C₄⋊C₄×C₇₉	—	4	1	no	—
121	C₄⋊C₄×C₇₉	—	4	1	no	—
122	C₄⋊C₄×C₇₉	—	4	1	no	—
123	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₇₉	#41	1	1	yes	characteristic
127	C₂³×C₇₉	#120	1	1	yes	characteristic
128	C₂²×D₇₉	—	2	2	no	—
129	C₂²×D₇₉	—	4	1	no	—
130	C₂²×D₇₉	—	4	2	no	—
131	C₂²×D₇₉	—	4	1	no	—
132	C₂²×D₇₉	—	4	2	no	—
133	Q₈×C₇₉	—	4	4	no	—
134	Q₈×C₇₉	—	8	2	no	—
135	Q₈×C₇₉	—	8	1	no	—
136	Q₈×C₇₉	—	8	1	no	—
137	Q₈×C₇₉	—	8	1	no	—
138	Q₈×C₇₉	—	8	1	no	—
139	C₂×C₄×C₇₉	—	2	2	no	—
140	C₂×C₄×C₇₉	—	4	2	no	—
141	C₂×C₄×C₇₉	—	4	2	no	—
142	C₂×C₄×C₇₉	—	4	4	no	—
143	C₂×C₄×C₇₉	—	8	2	no	—
144	C₂×C₄×C₇₉	#120	1	1	yes	characteristic
145	C₂×C₄×C₇₉	#120	1	1	yes	characteristic
146	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
147	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
148	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
149	C₂×C₄×C₇₉	#127	1	1	yes	characteristic
150	C₂×C₄×C₇₉	C₂×D₈	1	2	yes	—
151	C₂×C₄×C₇₉	C₂×Q₁₆	1	1	yes	characteristic
152	C₂×C₄×C₇₉	#135	1	1	yes	characteristic
153	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	2	yes	—
154	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
155	C₂×C₄×C₇₉	#137	1	1	yes	characteristic
156	C₂×Dic₇₉	—	2	4	no	—
157	C₂×Dic₇₉	—	4	2	no	—
158	C₂×Dic₇₉	—	4	2	no	—
159	C₂×Dic₇₉	—	4	1	no	—
160	C₂×Dic₇₉	—	4	2	no	—
161	D₃₁₆	—	2	2	no	—
162	D₃₁₆	—	2	2	no	—
163	D₃₁₆	—	4	1	no	—
164	D₃₁₆	—	4	1	no	—
165	C₄×D₇₉	—	8	2	no	—
166	C₄×D₇₉	—	8	1	no	—
167	C₄×D₇₉	—	8	1	no	—
168	C₈×C₇₉	—	2	4	no	—
169	C₇₉⋊C₈	—	4	2	no	—
170	C₇₉⋊C₈	—	8	1	no	—
171	C₂²×C₇₉	#392	1	1	yes	characteristic
172	C₂²×C₇₉	#447	1	2	yes	—
173	C₂²×C₇₉	#451	1	1	yes	characteristic
174	C₂²×C₇₉	#452	1	1	yes	characteristic
175	C₂²×C₇₉	#456	1	2	yes	—
176	C₂×D₇₉	—	4	4	no	—
177	C₂×D₇₉	—	4	2	no	—
178	C₂×D₇₉	—	8	2	no	—
179	C₂×D₇₉	—	8	1	no	—
180	C₂×D₇₉	—	8	1	no	—
181	C₄×C₇₉	—	2	1	no	—
182	C₄×C₇₉	—	2	1	no	—
183	C₄×C₇₉	—	8	2	no	—
184	C₄×C₇₉	—	8	2	no	—
185	C₄×C₇₉	#451	1	1	yes	characteristic
186	C₄×C₇₉	#452	1	1	yes	characteristic
187	C₄×C₇₉	#459	1	2	yes	—
188	C₄×C₇₉	#467	1	1	yes	characteristic
189	C₄×C₇₉	#470	1	1	yes	characteristic
190	C₄×C₇₉	#493	1	1	yes	characteristic
191	C₄×C₇₉	#496	1	1	yes	characteristic
192	Dic₇₉	—	4	4	no	—
193	Dic₇₉	—	8	1	no	—
194	#10076	—	79	1	no	maximal, Sylow
195	C₂×C₇₉	#1647	1	2	yes	—
196	C₂×C₇₉	#1649	1	2	yes	—
197	C₂×C₇₉	#2001	1	1	yes	characteristic
198	C₂×C₇₉	#2005	1	1	yes	characteristic
199	C₂×C₇₉	#2011	1	1	yes	characteristic
200	D₇₉	—	8	2	no	—
201	C₂×#500	D₇₉	1	1	yes	characteristic, complemented
202	C₂×#474	—	79	1	no	—
203	#2542	—	79	1	no	—
204	#1981	—	79	1	no	—
205	C₂×#332	—	79	1	no	—
206	C₂×D₄⋊C₈	—	79	1	no	—
207	#1279	—	79	1	no	—
208	C₇₉	#10076	1	1	yes	characteristic, complemented, Sylow
209	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
210	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
211	C₂×C₂²⋊Q₈	—	158	2	no	—
212	C₂×C₄×D₄	—	79	1	no	—
213	#500	—	2	2	no	—
214	#500	—	2	2	no	—
215	#474	—	158	2	no	—
216	#474	—	158	2	no	—
217	C₂×#107	—	2	2	no	—
218	C₂×#107	—	158	1	no	—
219	C₂×C₄⋊C₈	—	79	1	no	—
220	C₂×C₄⋊C₈	—	79	1	no	—
221	C₂×#103	—	158	2	no	—
222	C₂×#102	—	158	1	no	—
223	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
224	#399	—	158	2	no	—
225	#390	—	158	1	no	—
226	#384	—	158	1	no	—
227	C₄×C₄⋊C₄	—	79	1	no	—
228	#332	—	158	2	no	—
229	D₄⋊C₈	—	158	2	no	—
230	C₂²×Q₈	—	2	1	no	—
231	C₂²×Q₈	—	2	1	no	—
232	C₂²×D₄	—	79	1	no	—
233	C₂³×C₄	—	158	1	no	—
234	C₂²×C₈	—	2	1	no	—
235	C₂²×C₈	—	158	1	no	—
236	C₂²×C₈	—	158	1	no	—
237	C₄⋊Q₈	—	2	1	no	—
238	C₄⋊Q₈	—	2	1	no	—
239	C₄⋊Q₈	—	2	1	no	—
240	C₄⋊Q₈	—	2	1	no	—
241	C₄⋊Q₈	—	2	1	no	—
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	C₂²⋊D₇₉	1	2	yes	—
245	C₂²⋊Q₈	—	316	4	no	—
246	C₂²⋊Q₈	—	316	4	no	—
247	C₄×D₄	—	158	1	no	—
248	C₄×D₄	—	158	1	no	—
249	C₄×D₄	—	158	1	no	—
250	C₄×D₄	—	158	1	no	—
251	C₂×C₄⋊C₄	—	2	1	no	—
252	C₂×C₄⋊C₄	—	2	1	no	—
253	C₂×C₄⋊C₄	—	2	1	no	—
254	C₂×C₄⋊C₄	—	79	2	no	—
255	C₂×C₄⋊C₄	—	79	1	no	—
256	C₂×C₄⋊C₄	—	158	4	no	—
257	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	2	yes	—
258	C₂×C₂²⋊C₄	—	158	4	no	—
259	C₂×C₂²⋊C₄	—	158	1	no	—
260	C₂×C₄²	—	158	1	no	—
261	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
262	#107	—	2	8	no	—
263	#107	—	158	4	no	—
264	C₄⋊C₈	—	79	2	no	—
265	C₄⋊C₈	—	158	1	no	—
266	C₄⋊C₈	—	158	1	no	—
267	C₄⋊C₈	—	158	1	no	—
268	#103	—	316	4	no	—
269	#102	—	158	4	no	—
270	C₄×C₈	—	2	1	no	—
271	C₄×C₈	C₂²⋊D₇₉	1	2	yes	—
272	#95	—	158	1	no	—
273	C₂⁴	—	158	1	no	—
274	C₂×Q₈	—	2	2	no	—
275	C₂×Q₈	—	4	1	no	—
276	C₂×Q₈	—	4	1	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	4	2	no	—
279	C₂×Q₈	—	4	2	no	—
280	C₂×Q₈	—	4	2	no	—
281	C₂×Q₈	—	4	2	no	—
282	C₂×D₄	—	79	2	no	—
283	C₂×D₄	—	158	1	no	—
284	C₂×D₄	—	158	1	no	—
285	C₂×D₄	—	158	1	no	—
286	C₂×D₄	—	158	1	no	—
287	C₂×D₄	—	158	1	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	—	4	1	no	—
290	C₂²×C₄	—	316	1	no	—
291	C₂²×C₄	—	316	1	no	—
292	C₂²×C₄	—	316	2	no	—
293	C₂²×C₄	—	316	2	no	—
294	C₂²×C₄	—	158	1	no	—
295	C₂²×C₄	—	158	2	no	—
296	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
297	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
299	C₂×C₈	—	2	4	no	—
300	C₂×C₈	—	2	2	no	—
301	C₂×C₈	—	316	1	no	—
302	C₂×C₈	—	316	1	no	—
303	C₂×C₈	—	316	1	no	—
304	C₂×C₈	—	316	2	no	—
305	C₂×C₈	—	158	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	—	4	1	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₄⋊C₄	—	316	8	no	—
315	C₄⋊C₄	—	79	4	no	—
316	C₄⋊C₄	—	158	1	no	—
317	C₄⋊C₄	—	158	1	no	—
318	C₄⋊C₄	—	158	2	no	—
319	C₂²⋊C₄	—	316	8	no	—
320	C₂²⋊C₄	—	316	1	no	—
321	C₂²⋊C₄	—	316	1	no	—
322	C₄²	—	316	1	no	—
323	C₄²	—	316	1	no	—
324	C₄²	D₄×D₇₉	1	1	yes	characteristic
325	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
326	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
327	C₄²	#11929623	1	1	yes	characteristic
328	C₂³	—	316	2	no	—
329	C₂³	—	316	1	no	—
330	C₂³	—	316	1	no	—
331	C₂³	—	316	2	no	—
332	C₂³	—	158	2	no	—
333	C₂³	#14579129	1	1	yes	characteristic
334	Q₈	—	4	4	no	—
335	Q₈	—	8	1	no	—
336	Q₈	—	8	1	no	—
337	Q₈	—	8	1	no	—
338	Q₈	—	8	1	no	—
339	Q₈	—	8	2	no	—
340	D₄	—	316	1	no	—
341	D₄	—	316	1	no	—
342	D₄	—	158	2	no	—
343	D₄	—	158	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	4	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	2	no	—
349	C₂×C₄	—	316	2	no	—
350	C₂×C₄	—	316	2	no	—
351	C₂×C₄	—	316	2	no	—
352	C₂×C₄	—	316	1	no	—
353	C₂×C₄	—	632	1	no	—
354	C₂×C₄	—	632	1	no	—
355	C₂×C₄	—	632	2	no	—
356	C₂×C₄	—	158	4	no	—
357	C₂×C₄	#14579129	1	1	yes	characteristic
358	C₂×C₄	#14579130	1	1	yes	characteristic
359	C₂×C₄	#14579132	1	1	yes	characteristic
360	C₂×C₄	#14579133	1	1	yes	characteristic
361	C₂×C₄	#14579133	1	1	yes	characteristic
362	C₂×C₄	#14579157	1	1	yes	characteristic
363	C₂×C₄	D₈×D₇₉	1	2	yes	—
364	C₂×C₄	Q₁₆×D₇₉	1	1	yes	characteristic
365	C₂×C₄	#14579184	1	1	yes	characteristic
366	C₂×C₄	#14579185	1	2	yes	—
367	C₂×C₄	#14579193	1	1	yes	characteristic
368	C₂×C₄	#14579193	1	1	yes	characteristic
369	C₈	—	2	4	no	—
370	C₈	—	316	2	no	—
371	C₈	—	632	1	no	—
372	C₂²	—	316	2	no	—
373	C₂²	—	316	4	no	—
374	C₂²	—	632	2	no	—
375	C₂²	—	632	1	no	—
376	C₂²	—	632	1	no	—
377	C₂²	#19098471	1	1	yes	characteristic
378	C₂²	#19098695	1	2	yes	—
379	C₂²	#19098717	1	1	yes	characteristic
380	C₂²	#19098724	1	1	yes	characteristic
381	C₂²	#19098745	1	2	yes	—
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	8	2	no	—
385	C₄	—	8	2	no	—
386	C₄	—	316	4	no	—
387	C₄	—	632	1	no	—
388	C₄	#19098717	1	1	yes	characteristic
389	C₄	#19098724	1	1	yes	characteristic
390	C₄	#19098756	1	2	yes	—
391	C₄	#19098801	1	1	yes	characteristic
392	C₄	#19098818	1	1	yes	characteristic
393	C₄	#19098938	1	1	yes	characteristic
394	C₄	#19098951	1	1	yes	characteristic
395	C₂	—	632	2	no	—
396	C₂	#23762632	1	2	yes	—
397	C₂	#23762646	1	2	yes	—
398	C₂	#23764407	1	1	yes	characteristic
399	C₂	#23764436	1	1	yes	characteristic
400	C₂	#23764469	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#14579129
commutator, cosocle	C₂×C₄²×C₇₉	C₂³
Frattini	C₂×C₄²	C₂²×D₇₉
Fitting	C₂×#500×C₇₉	C₂
socle	C₂³×C₇₉	#120
prime radical	C₂²×D₃₁₆	D₄
hypercenter	C₂×#500	D₇₉
hypocenter	C₇₉	#10076
LCS	G ▷ C₂×C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#500

Complements

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

N	H ≅ G/N	type
3. #23764324	C₂	semidirect
4. C₂×#19098309	C₂	semidirect
6. #23761240	C₂	semidirect
7. C₂×#500×C₇₉	C₂	semidirect
201. C₂×#500	D₇₉	semidirect
208. C₇₉	#10076	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19098840	2
#23768354	2
#23764324	2
C₂×#19098309	2
C₂×#19098292	2
#23761240	2
C₂×#500×C₇₉	2
#10076	79