Subgroups — #34441612

Order 20224.

696 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23772276	C₂	1	1	yes	maximal, characteristic, complemented
2	#23772252	C₂	1	1	yes	maximal, characteristic, complemented
3	#23765276	C₂	1	2	yes	maximal, complemented
4	#23765265	C₂	1	2	yes	maximal, complemented
5	SD₃₂×Dic₇₉	C₂	1	2	yes	maximal, complemented
6	D₁₆×Dic₇₉	C₂	1	2	yes	maximal, complemented
7	#23765188	C₂	1	1	yes	maximal, characteristic, complemented
8	#23765107	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19098364	C₂	1	1	yes	maximal, characteristic, complemented
10	#23764999	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#509×C₇₉	C₂	1	1	yes	maximal, characteristic
12	#19099046	—	2	1	no	—
13	#19099038	—	2	1	no	—
14	C₂²×C₇₉⋊C₁₆	C₂²	1	1	yes	characteristic
15	#19098675	—	2	2	no	—
16	#19098664	—	2	2	no	—
17	Q₁₆×Dic₇₉	C₂²	1	2	yes	complemented
18	D₈×Dic₇₉	C₂²	1	2	yes	—
19	D₈×Dic₇₉	C₂²	1	2	yes	—
20	D₈×Dic₇₉	C₂²	1	2	yes	complemented
21	#19098601	C₂²	1	1	yes	characteristic
22	C₂×#14579095	C₂²	1	1	yes	characteristic
23	#19098568	—	2	1	no	—
24	#19098564	—	2	1	no	—
25	#19098518	C₂²	1	1	yes	characteristic
26	#19098391	C₂²	1	2	yes	complemented
27	#19098389	C₂²	1	2	yes	complemented
28	#19098367	C₂²	1	1	yes	characteristic, complemented
29	#19098367	C₂²	1	1	yes	characteristic, complemented
30	#19098364	C₂²	1	2	yes	—
31	#19098364	C₂²	1	2	yes	—
32	#19098364	C₂²	1	1	yes	characteristic, complemented
33	#19098364	C₂²	1	1	yes	characteristic, complemented
34	#19098338	C₂²	1	2	yes	complemented
35	C₁₆×Dic₇₉	C₂²	1	2	yes	complemented
36	C₂×#135×C₇₉	C₂²	1	1	yes	characteristic
37	C₂²×D₈×C₇₉	C₂²	1	1	yes	characteristic
38	#509×C₇₉	C₄	1	8	yes	complemented
39	C₂×SD₃₂×C₇₉	C₂²	1	2	yes	—
40	C₂×D₁₆×C₇₉	C₂²	1	2	yes	—
41	C₂×M₃₂×C₇₉	C₂²	1	1	yes	characteristic
42	C₂×#11929608	D₄	1	1	yes	characteristic
43	Q₈×Dic₇₉	—	2	2	no	—
44	D₄×Dic₇₉	—	2	2	no	—
45	D₄×Dic₇₉	—	2	2	no	—
46	D₄×Dic₇₉	—	2	2	no	—
47	D₄×Dic₇₉	—	4	1	no	—
48	D₄×Dic₇₉	—	4	1	no	—
49	D₄×Dic₇₉	—	4	2	no	—
50	#14579120	—	2	1	no	—
51	#14579120	—	4	1	no	—
52	#14579120	D₄	1	1	yes	characteristic
53	C₂×C₄⋊Dic₇₉	—	2	1	no	—
54	C₂×C₄⋊Dic₇₉	—	4	1	no	—
55	C₂×C₂²⋊Dic₇₉	—	4	2	no	—
56	C₂×C₇₉⋊C₁₆	—	2	2	no	—
57	C₂×C₇₉⋊C₁₆	C₂³	1	1	yes	characteristic
58	C₂×C₇₉⋊C₁₆	C₂³	1	1	yes	characteristic
59	#14579095	—	2	1	no	—
60	#14579095	C₂³	1	1	yes	characteristic
61	#14579095	C₂³	1	2	yes	—
62	#14579095	C₂³	1	1	yes	characteristic
63	#14579093	—	2	1	no	—
64	#14579085	—	2	2	no	—
65	#14579082	—	2	2	no	—
66	#14579082	—	2	2	no	—
67	#14579082	—	2	2	no	—
68	#14579071	D₄	1	2	yes	—
69	C₈×Dic₇₉	C₂³	1	2	yes	—
70	C₂×#41×C₇₉	—	2	1	no	—
71	C₂²×D₄×C₇₉	—	2	1	no	—
72	#135×C₇₉	—	2	2	no	—
73	#135×C₇₉	C₂×C₄	1	4	yes	complemented
74	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
75	C₂×SD₁₆×C₇₉	—	2	1	no	—
76	C₂×D₈×C₇₉	—	2	1	no	—
77	C₂×D₈×C₇₉	—	2	2	no	—
78	C₂×D₈×C₇₉	C₂×C₄	1	4	yes	complemented
79	C₂×D₈×C₇₉	C₂³	1	2	yes	—
80	C₂×D₈×C₇₉	C₂³	1	1	yes	characteristic
81	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
82	SD₃₂×C₇₉	C₂×C₄	1	8	yes	complemented
83	D₁₆×C₇₉	C₂×C₄	1	8	yes	complemented
84	M₃₂×C₇₉	C₂×C₄	1	4	yes	complemented
85	C₂×C₁₆×C₇₉	C₂³	1	2	yes	—
86	C₂²×Dic₇₉	—	4	2	no	—
87	C₂²×Dic₇₉	—	4	2	no	—
88	C₂²×Dic₇₉	—	4	2	no	—
89	C₂²×Dic₇₉	—	4	1	no	—
90	#11929608	—	2	2	no	—
91	C₂×C₇₉⋊C₈	C₂×D₄	1	2	yes	—
92	C₄⋊Dic₇₉	—	2	1	no	—
93	C₄⋊Dic₇₉	—	2	1	no	—
94	C₄⋊Dic₇₉	—	2	2	no	—
95	C₄⋊Dic₇₉	—	4	2	no	—
96	C₄⋊Dic₇₉	—	4	1	no	—
97	C₄⋊Dic₇₉	D₈	1	1	yes	characteristic
98	C₄⋊Dic₇₉	D₈	1	1	yes	characteristic
99	C₂²⋊Dic₇₉	—	4	2	no	—
100	C₂²⋊Dic₇₉	—	4	2	no	—
101	C₂²⋊Dic₇₉	—	4	2	no	—
102	C₂²⋊Dic₇₉	—	4	1	no	—
103	C₂²⋊Dic₇₉	D₈	1	2	yes	—
104	C₄×Dic₇₉	—	4	2	no	—
105	C₄×Dic₇₉	—	4	1	no	—
106	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
107	C₇₉⋊C₁₆	—	2	1	no	—
108	C₇₉⋊C₁₆	—	2	1	no	—
109	C₂⁴×C₇₉	—	4	1	no	—
110	#41×C₇₉	—	2	4	no	—
111	#41×C₇₉	—	4	2	no	—
112	C₂×Q₈×C₇₉	—	2	1	no	—
113	C₂×D₄×C₇₉	—	2	4	no	—
114	C₂×D₄×C₇₉	—	2	2	no	—
115	C₂×D₄×C₇₉	—	2	1	no	—
116	C₂×D₄×C₇₉	—	4	1	no	—
117	C₂×D₄×C₇₉	—	4	1	no	—
118	C₂×D₄×C₇₉	—	4	2	no	—
119	C₂²×C₄×C₇₉	—	4	1	no	—
120	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
121	Q₁₆×C₇₉	—	2	1	no	—
122	Q₁₆×C₇₉	C₂²×C₄	1	2	yes	—
123	SD₁₆×C₇₉	—	2	4	no	—
124	D₈×C₇₉	—	2	4	no	—
125	D₈×C₇₉	—	2	2	no	—
126	D₈×C₇₉	—	2	1	no	—
127	D₈×C₇₉	C₂²×C₄	1	2	yes	—
128	D₈×C₇₉	C₂²×C₄	1	4	yes	—
129	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
130	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
131	C₂×C₈×C₇₉	#41	1	2	yes	—
132	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
133	C₁₆×C₇₉	C₂²×C₄	1	4	yes	—
134	C₂³×C₇₉	—	4	1	no	—
135	C₂³×C₇₉	—	4	2	no	—
136	C₂³×C₇₉	—	4	4	no	—
137	C₂³×C₇₉	—	16	1	no	—
138	C₂³×C₇₉	—	16	1	no	—
139	C₂³×C₇₉	C₂×D₈	1	1	yes	characteristic
140	Q₈×C₇₉	—	2	2	no	—
141	Q₈×C₇₉	—	4	1	no	—
142	D₄×C₇₉	—	2	4	no	—
143	D₄×C₇₉	—	2	2	no	—
144	D₄×C₇₉	—	4	4	no	—
145	D₄×C₇₉	—	4	2	no	—
146	D₄×C₇₉	—	4	1	no	—
147	D₄×C₇₉	—	4	4	no	—
148	C₂×C₄×C₇₉	—	4	1	no	—
149	C₂×C₄×C₇₉	—	4	4	no	—
150	C₂×C₄×C₇₉	C₄×D₄	1	2	yes	—
151	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₇₉	#135	1	2	yes	—
153	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
154	C₂×Dic₇₉	—	4	1	no	—
155	C₂×Dic₇₉	—	4	1	no	—
156	C₂×Dic₇₉	—	4	2	no	—
157	C₂×Dic₇₉	—	16	2	no	—
158	C₂×Dic₇₉	—	16	2	no	—
159	C₂×Dic₇₉	—	16	2	no	—
160	C₂×Dic₇₉	—	16	1	no	—
161	C₂×Dic₇₉	C₂×D₈	1	2	yes	—
162	C₂×Dic₇₉	C₂×D₈	1	2	yes	—
163	C₈×C₇₉	C₄×D₄	1	2	yes	—
164	C₈×C₇₉	C₂³×C₄	1	1	yes	characteristic
165	C₈×C₇₉	C₂×#41	1	1	yes	characteristic
166	C₇₉⋊C₈	—	2	2	no	—
167	C₂²×C₇₉	—	2	1	no	—
168	C₂²×C₇₉	—	2	1	no	—
169	C₂²×C₇₉	—	4	2	no	—
170	C₂²×C₇₉	—	4	4	no	—
171	C₂²×C₇₉	—	8	2	no	—
172	C₂²×C₇₉	—	8	1	no	—
173	C₂²×C₇₉	—	8	1	no	—
174	C₂²×C₇₉	—	8	2	no	—
175	C₂²×C₇₉	—	16	4	no	—
176	C₂²×C₇₉	C₄×D₈	1	2	yes	—
177	C₂²×C₇₉	C₂²×D₈	1	1	yes	characteristic
178	C₄×C₇₉	—	4	2	no	—
179	C₄×C₇₉	C₄×D₈	1	2	yes	—
180	C₄×C₇₉	C₂×C₄×D₄	1	1	yes	characteristic
181	C₄×C₇₉	C₂×#135	1	1	yes	characteristic
182	Dic₇₉	—	2	2	no	—
183	Dic₇₉	—	2	2	no	—
184	Dic₇₉	—	8	1	no	—
185	Dic₇₉	—	8	2	no	—
186	Dic₇₉	—	8	1	no	—
187	#33454	—	79	1	no	maximal, Sylow
188	C₂×C₇₉	—	2	2	no	—
189	C₂×C₇₉	—	8	2	no	—
190	C₂×C₇₉	—	8	4	no	—
191	C₂×C₇₉	C₂×C₄×D₈	1	1	yes	characteristic
192	C₂×C₇₉	#3415	1	1	yes	characteristic
193	C₂×C₇₉	#3416	1	1	yes	characteristic
194	C₂×#509	D₇₉	1	1	yes	characteristic
195	#2951	—	79	1	no	—
196	#2948	—	79	1	no	—
197	#2177	—	79	2	no	—
198	#2175	—	79	2	no	—
199	C₄×SD₃₂	—	79	2	no	—
200	C₄×D₁₆	—	79	2	no	—
201	#2159	—	79	1	no	—
202	#2138	—	79	1	no	—
203	C₂×#357	—	79	1	no	—
204	#2108	—	79	1	no	—
205	C₇₉	#33454	1	1	yes	characteristic, complemented, Sylow
206	C₂×#135	C₂×D₇₉	1	1	yes	characteristic
207	C₂²×D₈	C₂×D₇₉	1	1	yes	characteristic
208	#520	—	158	1	no	—
209	#518	—	158	1	no	—
210	#509	Dic₇₉	1	8	yes	complemented
211	C₂×SD₃₂	C₂×D₇₉	1	2	yes	—
212	C₂×D₁₆	C₂×D₇₉	1	2	yes	—
213	C₂×M₃₂	C₂×D₇₉	1	1	yes	characteristic
214	C₂²×C₁₆	—	79	1	no	—
215	#442	—	158	2	no	—
216	#440	—	158	2	no	—
217	C₄×Q₁₆	—	79	2	no	—
218	C₄×D₈	—	79	2	no	—
219	C₄×D₈	—	79	2	no	—
220	C₄×D₈	—	79	2	no	—
221	#427	—	79	1	no	—
222	C₂×#107	—	79	1	no	—
223	#418	—	158	1	no	—
224	#417	—	158	1	no	—
225	#405	—	79	1	no	—
226	#367	—	79	2	no	—
227	#366	—	79	2	no	—
228	#358	—	79	1	no	—
229	#358	—	79	1	no	—
230	#357	—	79	2	no	—
231	#357	—	79	2	no	—
232	#357	—	79	1	no	—
233	#357	—	79	1	no	—
234	#346	—	79	2	no	—
235	C₄×C₁₆	—	79	2	no	—
236	C₂×#41	—	2	1	no	—
237	C₂²×D₄	—	2	1	no	—
238	#135	—	2	2	no	—
239	#135	C₂×Dic₇₉	1	4	yes	complemented
240	C₂×Q₁₆	C₂²×D₇₉	1	1	yes	characteristic
241	C₂×SD₁₆	—	2	1	no	—
242	C₂×D₈	—	2	1	no	—
243	C₂×D₈	—	2	2	no	—
244	C₂×D₈	C₂×Dic₇₉	1	4	yes	complemented
245	C₂×D₈	C₂²×D₇₉	1	2	yes	—
246	C₂×D₈	C₂²×D₇₉	1	1	yes	characteristic
247	C₂×M₁₆	—	79	1	no	—
248	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
249	C₄×Q₈	—	158	2	no	—
250	C₄×D₄	—	316	1	no	—
251	C₄×D₄	—	316	1	no	—
252	C₄×D₄	—	316	2	no	—
253	C₄×D₄	—	158	2	no	—
254	C₄×D₄	—	158	2	no	—
255	C₄×D₄	—	158	2	no	—
256	#117	—	316	1	no	—
257	#117	—	79	1	no	—
258	#117	—	158	1	no	—
259	C₂×C₄⋊C₄	—	316	1	no	—
260	C₂×C₄⋊C₄	—	158	1	no	—
261	C₂×C₂²⋊C₄	—	316	2	no	—
262	SD₃₂	C₂×Dic₇₉	1	8	yes	complemented
263	D₁₆	C₂×Dic₇₉	1	8	yes	complemented
264	M₃₂	C₂×Dic₇₉	1	4	yes	complemented
265	C₂×C₁₆	—	79	1	no	—
266	C₂×C₁₆	—	79	1	no	—
267	C₂×C₁₆	—	158	2	no	—
268	C₂×C₁₆	C₂²×D₇₉	1	2	yes	—
269	#107	—	79	2	no	—
270	#107	—	79	1	no	—
271	#107	—	79	1	no	—
272	#107	—	158	1	no	—
273	#106	—	158	1	no	—
274	#103	—	158	2	no	—
275	#102	—	158	2	no	—
276	#102	—	158	2	no	—
277	#102	—	158	2	no	—
278	#97	—	79	2	no	—
279	C₄×C₈	—	79	2	no	—
280	C₂⁴	—	4	1	no	—
281	#41	—	2	4	no	—
282	#41	—	4	2	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×D₄	—	2	4	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	2	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	2	no	—
290	C₂²×C₄	—	4	1	no	—
291	C₂²×C₄	—	316	1	no	—
292	C₂²×C₄	—	316	2	no	—
293	C₂²×C₄	—	316	2	no	—
294	C₂²×C₄	—	316	2	no	—
295	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
296	Q₁₆	—	2	1	no	—
297	Q₁₆	C₂²×Dic₇₉	1	2	yes	—
298	SD₁₆	—	2	4	no	—
299	D₈	—	2	2	no	—
300	D₈	—	2	1	no	—
301	D₈	—	2	4	no	—
302	D₈	C₂²×Dic₇₉	1	2	yes	—
303	D₈	C₂²×Dic₇₉	1	4	yes	—
304	M₁₆	—	158	2	no	—
305	C₂×C₈	—	79	2	no	—
306	C₂×C₈	C₂²×Dic₇₉	1	2	yes	—
307	C₂×C₈	D₄×D₇₉	1	1	yes	characteristic
308	C₂×C₈	#11929623	1	2	yes	—
309	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
310	C₄⋊C₄	—	316	2	no	—
311	C₄⋊C₄	—	316	1	no	—
312	C₄⋊C₄	—	79	1	no	—
313	C₄⋊C₄	—	79	1	no	—
314	C₄⋊C₄	—	158	1	no	—
315	C₄⋊C₄	—	158	1	no	—
316	C₄⋊C₄	—	158	2	no	—
317	C₂²⋊C₄	—	316	1	no	—
318	C₂²⋊C₄	—	316	2	no	—
319	C₂²⋊C₄	—	316	2	no	—
320	C₂²⋊C₄	—	316	2	no	—
321	C₂²⋊C₄	—	79	2	no	—
322	C₄²	—	316	2	no	—
323	C₄²	—	316	1	no	—
324	C₄²	—	79	2	no	—
325	C₁₆	—	158	1	no	—
326	C₁₆	—	158	1	no	—
327	C₁₆	C₂²×Dic₇₉	1	4	yes	—
328	C₂³	—	4	1	no	—
329	C₂³	—	4	2	no	—
330	C₂³	—	4	4	no	—
331	C₂³	—	16	1	no	—
332	C₂³	—	16	1	no	—
333	C₂³	D₈×D₇₉	1	1	yes	characteristic
334	Q₈	—	2	2	no	—
335	Q₈	—	4	1	no	—
336	D₄	—	2	4	no	—
337	D₄	—	2	2	no	—
338	D₄	—	4	4	no	—
339	D₄	—	4	4	no	—
340	D₄	—	4	2	no	—
341	D₄	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	316	1	no	—
345	C₂×C₄	—	316	1	no	—
346	C₂×C₄	—	316	2	no	—
347	C₂×C₄	—	79	2	no	—
348	C₂×C₄	—	79	2	no	—
349	C₂×C₄	—	1264	1	no	—
350	C₂×C₄	—	1264	2	no	—
351	C₂×C₄	—	1264	2	no	—
352	C₂×C₄	—	1264	2	no	—
353	C₂×C₄	D₄×Dic₇₉	1	2	yes	—
354	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
355	C₂×C₄	#14579180	1	2	yes	—
356	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
357	C₈	—	158	2	no	—
358	C₈	D₄×Dic₇₉	1	2	yes	—
359	C₈	C₂³×Dic₇₉	1	1	yes	characteristic
360	C₈	C₂×#11929623	1	1	yes	characteristic
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	4	4	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	1	no	—
369	C₂²	—	16	4	no	—
370	C₂²	D₈×Dic₇₉	1	2	yes	—
371	C₂²	C₂×D₈×D₇₉	1	1	yes	characteristic
372	C₄	—	4	2	no	—
373	C₄	—	632	1	no	—
374	C₄	—	632	2	no	—
375	C₄	—	632	1	no	—
376	C₄	—	158	2	no	—
377	C₄	—	158	2	no	—
378	C₄	D₈×Dic₇₉	1	2	yes	—
379	C₄	C₂×D₄×Dic₇₉	1	1	yes	characteristic
380	C₄	C₂×#14579180	1	1	yes	characteristic
381	C₂	—	2	2	no	—
382	C₂	—	8	4	no	—
383	C₂	—	8	2	no	—
384	C₂	C₂×D₈×Dic₇₉	1	1	yes	characteristic
385	C₂	#23776540	1	1	yes	characteristic
386	C₂	#23776546	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₇₉
commutator	C₈×C₇₉	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₇₉
Fitting, prime radical	C₂×#509×C₇₉	C₂
socle	C₂²×C₇₉	C₂²×D₈
cosocle	C₂×C₈×C₇₉	C₂⁴
hypercenter	C₂×#509	D₇₉
hypocenter	C₇₉	#33454
LCS	G ▷ C₈×C₇₉ ▷ C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#509

Complements

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

N	H ≅ G/N	type
1. #23772276	C₂	semidirect
2. #23772252	C₂	semidirect
3. #23765276	C₂	semidirect
4. #23765265	C₂	semidirect
5. SD₃₂×Dic₇₉	C₂	semidirect
6. D₁₆×Dic₇₉	C₂	semidirect
7. #23765188	C₂	semidirect
8. #23765107	C₂	semidirect
9. C₂×#19098364	C₂	semidirect
10. #23764999	C₂	semidirect
17. Q₁₆×Dic₇₉	C₂²	semidirect
20. D₈×Dic₇₉	C₂²	semidirect
26. #19098391	C₂²	semidirect
27. #19098389	C₂²	semidirect
28. #19098367	C₂²	semidirect
29. #19098367	C₂²	semidirect
32. #19098364	C₂²	semidirect
33. #19098364	C₂²	semidirect
34. #19098338	C₂²	semidirect
35. C₁₆×Dic₇₉	C₂²	semidirect
38. #509×C₇₉	C₄	semidirect
73. #135×C₇₉	C₂×C₄	semidirect
78. C₂×D₈×C₇₉	C₂×C₄	semidirect
82. SD₃₂×C₇₉	C₂×C₄	semidirect
83. D₁₆×C₇₉	C₂×C₄	semidirect
84. M₃₂×C₇₉	C₂×C₄	semidirect
205. C₇₉	#33454	semidirect
210. #509	Dic₇₉	semidirect
239. #135	C₂×Dic₇₉	semidirect
244. C₂×D₈	C₂×Dic₇₉	semidirect
262. SD₃₂	C₂×Dic₇₉	semidirect
263. D₁₆	C₂×Dic₇₉	semidirect
264. M₃₂	C₂×Dic₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23772276	2
#23772252	2
#23765276	2
#23765265	2
SD₃₂×Dic₇₉	2
D₁₆×Dic₇₉	2
#23765188	2
#23765107	2
C₂×#19098364	2
#23764999	2
C₂×#509×C₇₉	2
#33454	79