Subgroups — #34273530

Order 20224.

628 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23773495	C₂	1	1	yes	maximal, characteristic
2	#23773404	C₂	1	1	yes	maximal, characteristic
3	#23772423	C₂	1	1	yes	maximal, characteristic
4	#23762848	C₂	1	2	yes	maximal, complemented
5	#23762820	C₂	1	2	yes	maximal, complemented
6	#23762786	C₂	1	2	yes	maximal, complemented
7	#23762772	C₂	1	2	yes	maximal, complemented
8	#23762180	C₂	1	1	yes	maximal, characteristic, complemented
9	#23762110	C₂	1	1	yes	maximal, characteristic, complemented
10	#23762065	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₉×#3231	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
13	#19098896	—	2	1	no	—
14	#19098891	—	2	1	no	—
15	#19098850	C₂²	1	2	yes	—
16	#19098840	C₂²	1	2	yes	—
17	#19098765	C₂²	1	2	yes	—
18	#19098765	C₂²	1	2	yes	—
19	#19098713	—	2	1	no	—
20	#19098713	—	2	1	no	—
21	#19098661	—	2	2	no	—
22	C₄×#11929611	—	2	2	no	—
23	C₈×D₃₁₆	C₂²	1	2	yes	—
24	C₈×D₃₁₆	C₂²	1	2	yes	—
25	#19098628	—	2	2	no	—
26	#19098620	C₂²	1	1	yes	characteristic
27	#19098616	C₂²	1	1	yes	characteristic
28	#19098616	C₂²	1	1	yes	characteristic
29	C₂²⋊C₈×D₇₉	—	2	2	no	—
30	#19098316	C₂²	1	2	yes	complemented
31	#19098314	C₂²	1	2	yes	complemented
32	#19098312	C₂²	1	2	yes	complemented
33	#19098309	C₂²	1	2	yes	complemented
34	#19098309	C₂²	1	2	yes	complemented
35	#19098309	C₂²	1	2	yes	complemented
36	#533×C₇₉	C₂²	1	1	yes	characteristic
37	#533×C₇₉	C₂²	1	1	yes	characteristic
38	#500×C₇₉	C₂²	1	1	yes	characteristic, complemented
39	#498×C₇₉	C₂²	1	1	yes	characteristic, complemented
40	#487×C₇₉	C₂²	1	1	yes	characteristic, complemented
41	#487×C₇₉	C₂²	1	1	yes	characteristic, complemented
42	#485×C₇₉	—	2	2	no	—
43	#479×C₇₉	—	2	2	no	—
44	#431×C₇₉	C₂²	1	1	yes	characteristic
45	C₂²×D₃₁₆	D₄	1	1	yes	characteristic
46	C₂²×C₄×D₇₉	—	2	1	no	—
47	C₂×#11929611	—	2	2	no	—
48	C₂×#11929611	—	2	2	no	—
49	C₂×C₈×D₇₉	—	2	2	no	—
50	C₂×C₈×D₇₉	—	2	2	no	—
51	C₄×D₃₁₆	—	2	1	no	—
52	C₄×D₃₁₆	—	2	1	no	—
53	C₄×D₃₁₆	D₄	1	2	yes	—
54	C₄×D₃₁₆	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₇₉	D₄	1	1	yes	characteristic
56	C₂×(C₂×D₇₉)⋊C₄	—	2	1	no	—
57	#14579094	—	2	2	no	—
58	#14579092	—	2	2	no	—
59	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
60	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
61	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
62	#14579085	—	2	2	no	—
63	#14579085	—	2	2	no	—
64	#14579081	—	2	2	no	—
65	#14579081	—	2	2	no	—
66	C₂²⋊(C₇₉⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₇₉⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₇₉⋊C₈)	—	2	1	no	—
69	(C₂×D₇₉)⋊C₈	—	2	2	no	—
70	(C₂×D₇₉)⋊C₈	—	2	2	no	—
71	#14579072	—	2	1	no	—
72	C₄×C₇₉⋊C₈	—	2	1	no	—
73	C₄×C₇₉⋊C₈	—	2	1	no	—
74	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
75	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
76	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
77	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
78	#125×C₇₉	—	2	1	no	—
79	#125×C₇₉	—	2	1	no	—
80	C₂²⋊Q₈×C₇₉	—	2	1	no	—
81	C₂²⋊Q₈×C₇₉	—	2	1	no	—
82	C₂²⋊Q₈×C₇₉	—	2	1	no	—
83	C₂²⋊Q₈×C₇₉	—	2	1	no	—
84	C₄×Q₈×C₇₉	—	2	1	no	—
85	C₄×Q₈×C₇₉	—	2	1	no	—
86	C₄×Q₈×C₇₉	—	2	1	no	—
87	C₄×Q₈×C₇₉	—	2	1	no	—
88	#117×C₇₉	—	2	1	no	—
89	#117×C₇₉	—	2	1	no	—
90	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
91	#107×C₇₉	—	2	2	no	—
92	#106×C₇₉	—	2	2	no	—
93	C₄⋊C₈×C₇₉	D₄	1	2	yes	—
94	#103×C₇₉	—	2	2	no	—
95	#103×C₇₉	—	2	2	no	—
96	C₂²⋊C₈×C₇₉	D₄	1	2	yes	—
97	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
98	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
99	C₂³×D₇₉	—	2	1	no	—
100	C₂×D₃₁₆	—	2	4	no	—
101	C₂×D₃₁₆	—	2	1	no	—
102	C₂×D₃₁₆	C₂×D₄	1	2	yes	—
103	C₂²×Dic₇₉	—	2	1	no	—
104	C₂×C₄×D₇₉	—	2	2	no	—
105	C₂×C₄×D₇₉	—	2	2	no	—
106	C₂×C₄×D₇₉	—	8	2	no	—
107	#11929611	—	4	4	no	—
108	#11929611	—	4	4	no	—
109	C₂×C₇₉⋊C₈	—	2	2	no	—
110	C₂×C₇₉⋊C₈	—	2	2	no	—
111	C₂×C₇₉⋊C₈	—	2	2	no	—
112	C₈×D₇₉	—	8	2	no	—
113	C₈×D₇₉	—	8	2	no	—
114	C₄⋊Dic₇₉	—	2	1	no	—
115	C₄⋊Dic₇₉	C₂×D₄	1	2	yes	—
116	(C₂×D₇₉)⋊C₄	—	2	2	no	—
117	(C₂×D₇₉)⋊C₄	—	2	2	no	—
118	C₂×Q₈×C₇₉	—	2	1	no	—
119	C₂×Q₈×C₇₉	—	2	1	no	—
120	C₂×Q₈×C₇₉	—	2	1	no	—
121	C₂×Q₈×C₇₉	—	2	1	no	—
122	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
123	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
124	C₂²×C₄×C₇₉	#41	1	1	yes	characteristic
125	C₂×C₈×C₇₉	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₇₉	C₂×D₄	1	2	yes	—
127	C₄⋊C₄×C₇₉	—	2	1	no	—
128	C₄⋊C₄×C₇₉	—	2	1	no	—
129	C₄⋊C₄×C₇₉	—	2	1	no	—
130	C₄⋊C₄×C₇₉	—	2	1	no	—
131	C₄⋊C₄×C₇₉	—	2	1	no	—
132	C₄⋊C₄×C₇₉	—	2	1	no	—
133	C₄⋊C₄×C₇₉	—	2	1	no	—
134	C₄⋊C₄×C₇₉	—	2	1	no	—
135	C₄⋊C₄×C₇₉	—	4	1	no	—
136	C₄⋊C₄×C₇₉	—	4	1	no	—
137	C₄⋊C₄×C₇₉	—	4	1	no	—
138	C₄⋊C₄×C₇₉	—	4	1	no	—
139	C₂²⋊C₄×C₇₉	—	4	1	no	—
140	C₂²⋊C₄×C₇₉	—	4	1	no	—
141	C₄²×C₇₉	—	4	1	no	—
142	C₄²×C₇₉	—	4	1	no	—
143	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
144	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
145	C₄²×C₇₉	#41	1	1	yes	characteristic
146	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
147	C₂³×C₇₉	#121	1	1	yes	characteristic
148	C₂²×D₇₉	—	2	2	no	—
149	C₂²×D₇₉	—	2	4	no	—
150	C₂²×D₇₉	—	8	1	no	—
151	C₂²×D₇₉	—	8	1	no	—
152	Q₈×C₇₉	—	4	2	no	—
153	Q₈×C₇₉	—	4	2	no	—
154	Q₈×C₇₉	—	4	2	no	—
155	Q₈×C₇₉	—	8	1	no	—
156	C₂×C₄×C₇₉	—	2	2	no	—
157	C₂×C₄×C₇₉	—	2	2	no	—
158	C₂×C₄×C₇₉	—	4	1	no	—
159	C₂×C₄×C₇₉	—	4	1	no	—
160	C₂×C₄×C₇₉	—	4	1	no	—
161	C₂×C₄×C₇₉	—	4	1	no	—
162	C₂×C₄×C₇₉	—	4	1	no	—
163	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
164	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
166	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
169	C₂×Dic₇₉	—	2	2	no	—
170	C₂×Dic₇₉	—	8	1	no	—
171	D₃₁₆	—	2	4	no	—
172	D₃₁₆	—	2	2	no	—
173	D₃₁₆	#135	1	4	yes	—
174	C₄×D₇₉	—	4	2	no	—
175	C₄×D₇₉	—	4	2	no	—
176	C₄×D₇₉	—	8	2	no	—
177	C₈×C₇₉	—	2	2	no	—
178	C₈×C₇₉	—	2	2	no	—
179	C₇₉⋊C₈	—	4	2	no	—
180	C₇₉⋊C₈	—	4	2	no	—
181	C₇₉⋊C₈	—	4	2	no	—
182	C₂²×C₇₉	—	2	1	no	—
183	C₂²×C₇₉	—	2	1	no	—
184	C₂²×C₇₉	—	2	1	no	—
185	C₂²×C₇₉	C₂×#121	1	1	yes	characteristic
186	C₂×D₇₉	—	2	4	no	—
187	C₂×D₇₉	—	4	2	no	—
188	C₂×D₇₉	—	4	2	no	—
189	C₂×D₇₉	—	8	4	no	—
190	C₄×C₇₉	—	2	1	no	—
191	C₄×C₇₉	—	2	1	no	—
192	C₄×C₇₉	—	2	1	no	—
193	C₄×C₇₉	—	2	1	no	—
194	C₄×C₇₉	—	8	1	no	—
195	C₄×C₇₉	—	8	1	no	—
196	C₄×C₇₉	—	8	1	no	—
197	C₄×C₇₉	—	8	1	no	—
198	C₄×C₇₉	C₂×#135	1	2	yes	—
199	C₄×C₇₉	#577	1	2	yes	—
200	Dic₇₉	—	4	2	no	—
201	#19395	—	79	1	no	maximal, Sylow
202	C₂×C₇₉	—	4	1	no	—
203	C₂×C₇₉	#3042	1	1	yes	characteristic
204	C₂×C₇₉	#3050	1	1	yes	characteristic
205	C₂×C₇₉	#3069	1	1	yes	characteristic
206	D₇₉	—	4	4	no	—
207	#3231	D₇₉	1	1	yes	characteristic, complemented
208	#3110	—	79	1	no	—
209	#3101	—	79	1	no	—
210	#2972	—	79	1	no	—
211	#1683	—	79	2	no	—
212	#1679	—	79	2	no	—
213	#1673	—	79	2	no	—
214	#1671	—	79	2	no	—
215	#1572	—	79	1	no	—
216	#1554	—	79	1	no	—
217	#1544	—	79	1	no	—
218	C₇₉	#19395	1	1	yes	characteristic, complemented, Sylow
219	#533	C₂×D₇₉	1	1	yes	characteristic
220	#533	C₂×D₇₉	1	1	yes	characteristic
221	C₂×C₄×D₄	—	79	1	no	—
222	#500	C₂×D₇₉	1	1	yes	characteristic, complemented
223	#498	C₂×D₇₉	1	1	yes	characteristic, complemented
224	#487	C₂×D₇₉	1	1	yes	characteristic, complemented
225	#487	C₂×D₇₉	1	1	yes	characteristic, complemented
226	#485	—	2	2	no	—
227	#484	—	158	1	no	—
228	#483	—	158	1	no	—
229	#479	—	2	2	no	—
230	#476	—	79	2	no	—
231	#474	—	79	2	no	—
232	#461	—	79	2	no	—
233	#461	—	79	2	no	—
234	#450	—	158	1	no	—
235	#450	—	158	1	no	—
236	#440	—	158	2	no	—
237	C₄×SD₁₆	—	158	2	no	—
238	C₈×D₄	—	79	2	no	—
239	C₈×D₄	—	79	2	no	—
240	C₈×D₄	—	158	2	no	—
241	#432	—	79	1	no	—
242	#431	—	79	1	no	—
243	#431	—	79	1	no	—
244	#431	C₂×D₇₉	1	1	yes	characteristic
245	C₂×C₂²⋊C₈	—	158	2	no	—
246	#335	—	79	2	no	—
247	#334	—	79	2	no	—
248	#333	—	79	2	no	—
249	#332	—	79	2	no	—
250	#332	—	79	2	no	—
251	#332	—	79	2	no	—
252	C₂²×D₄	—	79	1	no	—
253	C₂³×C₄	—	158	1	no	—
254	C₂×SD₁₆	—	158	2	no	—
255	C₂×SD₁₆	—	158	2	no	—
256	C₂²×C₈	—	158	2	no	—
257	C₂²×C₈	—	158	2	no	—
258	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
259	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
260	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
261	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
262	#125	—	2	1	no	—
263	#125	—	2	1	no	—
264	C₂²⋊Q₈	—	2	1	no	—
265	C₂²⋊Q₈	—	2	1	no	—
266	C₂²⋊Q₈	—	2	1	no	—
267	C₂²⋊Q₈	—	2	1	no	—
268	C₄×Q₈	—	2	1	no	—
269	C₄×Q₈	—	2	1	no	—
270	C₄×Q₈	—	2	1	no	—
271	C₄×Q₈	—	2	1	no	—
272	C₄×D₄	—	79	2	no	—
273	C₄×D₄	—	79	2	no	—
274	C₄×D₄	—	158	1	no	—
275	C₄×D₄	—	158	1	no	—
276	#117	—	2	1	no	—
277	#117	—	2	1	no	—
278	C₂×C₄⋊C₄	—	79	1	no	—
279	C₂×C₂²⋊C₄	—	158	1	no	—
280	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
281	#107	—	2	2	no	—
282	#107	—	158	2	no	—
283	#106	—	2	2	no	—
284	#106	—	158	2	no	—
285	C₄⋊C₈	—	79	2	no	—
286	C₄⋊C₈	—	79	2	no	—
287	C₄⋊C₈	—	79	2	no	—
288	C₄⋊C₈	C₂²⋊D₇₉	1	2	yes	—
289	#103	—	2	2	no	—
290	#103	—	2	2	no	—
291	#103	—	158	2	no	—
292	#103	—	158	2	no	—
293	#102	—	158	2	no	—
294	#102	—	158	2	no	—
295	C₂²⋊C₈	—	158	1	no	—
296	C₂²⋊C₈	—	158	1	no	—
297	C₂²⋊C₈	—	158	1	no	—
298	C₂²⋊C₈	—	158	2	no	—
299	C₂²⋊C₈	—	158	2	no	—
300	C₂²⋊C₈	C₂²⋊D₇₉	1	2	yes	—
301	#97	—	158	1	no	—
302	C₄×C₈	—	158	1	no	—
303	C₄×C₈	—	158	1	no	—
304	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
305	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
306	C₂⁴	—	158	1	no	—
307	C₂×Q₈	—	2	1	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	2	1	no	—
310	C₂×Q₈	—	2	1	no	—
311	C₂×D₄	—	79	2	no	—
312	C₂×D₄	—	158	4	no	—
313	C₂×D₄	—	158	1	no	—
314	C₂²×C₄	—	632	2	no	—
315	C₂²×C₄	—	158	2	no	—
316	C₂²×C₄	—	158	1	no	—
317	C₂²×C₄	—	158	2	no	—
318	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
319	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
320	C₂²×C₄	#11929623	1	1	yes	characteristic
321	SD₁₆	—	316	4	no	—
322	SD₁₆	—	316	4	no	—
323	C₂×C₈	—	632	2	no	—
324	C₂×C₈	—	632	2	no	—
325	C₂×C₈	—	158	2	no	—
326	C₂×C₈	—	158	2	no	—
327	C₂×C₈	—	158	2	no	—
328	C₂×C₈	C₂×C₂²⋊D₇₉	1	2	yes	—
329	C₂×C₈	C₂×C₂²⋊D₇₉	1	2	yes	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	2	1	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	2	1	no	—
336	C₄⋊C₄	—	2	1	no	—
337	C₄⋊C₄	—	2	1	no	—
338	C₄⋊C₄	—	4	1	no	—
339	C₄⋊C₄	—	4	1	no	—
340	C₄⋊C₄	—	4	1	no	—
341	C₄⋊C₄	—	4	1	no	—
342	C₄⋊C₄	—	79	2	no	—
343	C₄⋊C₄	—	158	1	no	—
344	C₂²⋊C₄	—	4	1	no	—
345	C₂²⋊C₄	—	4	1	no	—
346	C₂²⋊C₄	—	158	2	no	—
347	C₂²⋊C₄	—	158	2	no	—
348	C₄²	—	4	1	no	—
349	C₄²	—	4	1	no	—
350	C₄²	D₄×D₇₉	1	1	yes	characteristic
351	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
352	C₄²	#11929623	1	1	yes	characteristic
353	C₄²	C₂³×D₇₉	1	1	yes	characteristic
354	C₂³	—	632	1	no	—
355	C₂³	—	632	1	no	—
356	C₂³	—	158	4	no	—
357	C₂³	—	158	2	no	—
358	C₂³	#14579132	1	1	yes	characteristic
359	Q₈	—	4	2	no	—
360	Q₈	—	4	2	no	—
361	Q₈	—	4	2	no	—
362	Q₈	—	8	1	no	—
363	D₄	—	79	4	no	—
364	D₄	—	158	4	no	—
365	D₄	—	158	2	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	316	2	no	—
374	C₂×C₄	—	316	2	no	—
375	C₂×C₄	—	632	2	no	—
376	C₂×C₄	—	632	1	no	—
377	C₂×C₄	—	158	2	no	—
378	C₂×C₄	#14579132	1	1	yes	characteristic
379	C₂×C₄	#14579132	1	1	yes	characteristic
380	C₂×C₄	#14579132	1	1	yes	characteristic
381	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
383	C₂×C₄	C₂×#11929623	1	1	yes	characteristic
384	C₈	—	2	2	no	—
385	C₈	—	2	2	no	—
386	C₈	—	316	2	no	—
387	C₈	—	316	2	no	—
388	C₈	—	316	2	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	316	2	no	—
393	C₂²	—	316	2	no	—
394	C₂²	—	632	4	no	—
395	C₂²	—	158	4	no	—
396	C₂²	C₂×#14579132	1	1	yes	characteristic
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	8	1	no	—
402	C₄	—	8	1	no	—
403	C₄	—	8	1	no	—
404	C₄	—	8	1	no	—
405	C₄	—	316	2	no	—
406	C₄	#135×D₇₉	1	2	yes	—
407	C₄	#19099371	1	2	yes	—
408	C₂	—	4	1	no	—
409	C₂	—	316	4	no	—
410	C₂	#23772908	1	1	yes	characteristic
411	C₂	#23772977	1	1	yes	characteristic
412	C₂	#23773133	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#14579132
commutator, cosocle	C₄²×C₇₉	C₂⁴
Frattini	C₄²	C₂³×D₇₉
Fitting	C₇₉×#3231	C₂
socle	C₂²×C₇₉	C₂×#121
prime radical	C₂²×D₃₁₆	D₄
hypercenter	#3231	D₇₉
hypocenter	C₇₉	#19395
LCS	G ▷ C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3231

Complements

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

N	H ≅ G/N	type
4. #23762848	C₂	semidirect
5. #23762820	C₂	semidirect
6. #23762786	C₂	semidirect
7. #23762772	C₂	semidirect
8. #23762180	C₂	semidirect
9. #23762110	C₂	semidirect
10. #23762065	C₂	semidirect
11. C₇₉×#3231	C₂	semidirect
30. #19098316	C₂²	semidirect
31. #19098314	C₂²	semidirect
32. #19098312	C₂²	semidirect
33. #19098309	C₂²	semidirect
34. #19098309	C₂²	semidirect
35. #19098309	C₂²	semidirect
38. #500×C₇₉	C₂²	semidirect
39. #498×C₇₉	C₂²	semidirect
40. #487×C₇₉	C₂²	semidirect
41. #487×C₇₉	C₂²	semidirect
207. #3231	D₇₉	semidirect
218. C₇₉	#19395	semidirect
222. #500	C₂×D₇₉	semidirect
223. #498	C₂×D₇₉	semidirect
224. #487	C₂×D₇₉	semidirect
225. #487	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23773495	2
#23773404	2
#23772423	2
#23762848	2
#23762820	2
#23762786	2
#23762772	2
#23762180	2
#23762110	2
#23762065	2
C₇₉×#3231	2
#19395	79