Subgroups — C₂×#23762818 #34270647

Order 20224.

722 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098911	C₂	1	1	yes	maximal, characteristic
2	C₂×#19098763	C₂	1	1	yes	maximal, characteristic
3	C₂×Q₈×C₇₉⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	#23762818	C₂	1	8	yes	maximal, direct product factor
5	C₂×#19098313	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19098312	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19098306	C₂	1	1	yes	maximal, characteristic
8	C₂×#477×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#11929611	—	2	1	no	—
10	C₂×#14579158	C₂²	1	1	yes	characteristic
11	#19098911	—	2	2	no	—
12	#19098911	C₂²	1	4	yes	—
13	#19098763	—	2	2	no	—
14	#19098763	C₂²	1	4	yes	—
15	Q₈×C₇₉⋊C₈	—	2	2	no	—
16	Q₈×C₇₉⋊C₈	C₂²	1	4	yes	complemented
17	C₂×C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
18	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
20	C₂×#14579081	—	2	1	no	—
21	C₂×#14579081	—	2	1	no	—
22	C₂×#14579081	—	2	1	no	—
23	C₂×C₄×C₇₉⋊C₈	—	2	1	no	—
24	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
25	#19098313	C₂²	1	4	yes	complemented
26	#19098312	C₂²	1	4	yes	complemented
27	#19098306	C₂²	1	4	yes	—
28	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
30	#477×C₇₉	—	2	2	no	—
31	#477×C₇₉	C₂²	1	4	yes	complemented
32	C₂×#107×C₇₉	—	2	1	no	—
33	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
34	C₂×#103×C₇₉	—	2	1	no	—
35	C₂²×D₃₁₆	—	2	1	no	—
36	C₂²×D₃₁₆	—	2	1	no	—
37	C₂²×D₃₁₆	—	2	1	no	—
38	C₂×#11929611	—	2	4	no	—
39	C₂×#11929611	—	4	4	no	—
40	C₂²×C₇₉⋊C₈	—	2	1	no	—
41	C₂²×C₇₉⋊C₈	—	2	1	no	—
42	C₂²×C₇₉⋊C₈	D₄	1	1	yes	characteristic
43	C₂²×C₇₉⋊C₈	D₄	1	1	yes	characteristic
44	#14579158	—	2	1	no	—
45	#14579158	—	2	1	no	—
46	#14579158	—	2	1	no	—
47	#14579158	C₂³	1	2	yes	—
48	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
49	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
50	C₄⋊(C₇₉⋊C₈)	—	2	4	no	—
51	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
52	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
53	#14579081	—	2	4	no	—
54	#14579081	—	2	4	no	—
55	#14579081	—	2	4	no	—
56	C₄×C₇₉⋊C₈	—	2	4	no	—
57	C₄×C₇₉⋊C₈	D₄	1	2	yes	—
58	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
59	C₂²×Q₈×C₇₉	—	2	1	no	—
60	C₂²×Q₈×C₇₉	D₄	1	1	yes	characteristic
61	C₂²×C₈×C₇₉	—	2	1	no	—
62	C₄⋊Q₈×C₇₉	—	2	1	no	—
63	C₄⋊Q₈×C₇₉	—	2	1	no	—
64	C₄⋊Q₈×C₇₉	—	2	1	no	—
65	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
66	C₄×Q₈×C₇₉	—	2	1	no	—
67	C₄×Q₈×C₇₉	—	2	1	no	—
68	C₄×Q₈×C₇₉	D₄	1	2	yes	—
69	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
70	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
71	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
72	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
73	C₂×C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
74	C₂×C₄²×C₇₉	—	2	1	no	—
75	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
76	#107×C₇₉	—	2	4	no	—
77	C₄⋊C₈×C₇₉	—	2	1	no	—
78	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
79	#103×C₇₉	—	2	4	no	—
80	C₂³×D₇₉	—	4	1	no	—
81	C₂×D₃₁₆	—	2	2	no	—
82	C₂×D₃₁₆	—	2	2	no	—
83	C₂×D₃₁₆	—	2	2	no	—
84	C₂×D₃₁₆	—	4	1	no	—
85	C₂×D₃₁₆	—	4	1	no	—
86	C₂×D₃₁₆	—	4	1	no	—
87	C₂×D₃₁₆	—	4	2	no	—
88	C₂×D₃₁₆	—	4	2	no	—
89	C₂×D₃₁₆	—	4	2	no	—
90	C₂×D₃₁₆	—	4	2	no	—
91	C₂×D₃₁₆	—	8	2	no	—
92	#11929611	—	4	8	no	—
93	C₂×C₇₉⋊C₈	—	2	2	no	—
94	C₂×C₇₉⋊C₈	—	2	2	no	—
95	C₂×C₇₉⋊C₈	—	2	2	no	—
96	C₂×C₇₉⋊C₈	—	2	2	no	—
97	C₂×C₇₉⋊C₈	—	4	2	no	—
98	C₂×C₇₉⋊C₈	—	4	2	no	—
99	C₂×C₇₉⋊C₈	C₂×D₄	1	2	yes	—
100	C₂×C₇₉⋊C₈	C₂×D₄	1	2	yes	—
101	C₂×Q₈×C₇₉	—	2	1	no	—
102	C₂×Q₈×C₇₉	—	2	2	no	—
103	C₂×Q₈×C₇₉	—	2	2	no	—
104	C₂×Q₈×C₇₉	—	4	1	no	—
105	C₂×Q₈×C₇₉	—	8	2	no	—
106	C₂×Q₈×C₇₉	SD₁₆	1	4	yes	—
107	C₂×Q₈×C₇₉	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₇₉	—	2	1	no	—
109	C₂²×C₄×C₇₉	—	2	1	no	—
110	C₂²×C₄×C₇₉	—	4	1	no	—
111	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₇₉	#41	1	1	yes	characteristic
114	C₂×C₈×C₇₉	—	2	2	no	—
115	C₂×C₈×C₇₉	—	4	2	no	—
116	C₄⋊C₄×C₇₉	—	2	2	no	—
117	C₄⋊C₄×C₇₉	—	2	1	no	—
118	C₄⋊C₄×C₇₉	—	2	2	no	—
119	C₄⋊C₄×C₇₉	—	2	2	no	—
120	C₄⋊C₄×C₇₉	—	2	2	no	—
121	C₄⋊C₄×C₇₉	—	4	1	no	—
122	C₄⋊C₄×C₇₉	—	4	1	no	—
123	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
124	C₄²×C₇₉	—	2	2	no	—
125	C₄²×C₇₉	—	2	2	no	—
126	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₇₉	#41	1	1	yes	characteristic
129	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
130	C₂³×C₇₉	#121	1	1	yes	characteristic
131	C₂²×D₇₉	—	4	2	no	—
132	C₂²×D₇₉	—	8	2	no	—
133	C₂²×D₇₉	—	8	2	no	—
134	C₂²×D₇₉	—	8	2	no	—
135	Q₈×C₇₉	—	2	2	no	—
136	Q₈×C₇₉	—	2	4	no	—
137	Q₈×C₇₉	—	8	2	no	—
138	Q₈×C₇₉	—	8	2	no	—
139	Q₈×C₇₉	C₂×SD₁₆	1	4	yes	—
140	C₂×C₄×C₇₉	—	2	2	no	—
141	C₂×C₄×C₇₉	—	2	4	no	—
142	C₂×C₄×C₇₉	—	2	2	no	—
143	C₂×C₄×C₇₉	—	2	2	no	—
144	C₂×C₄×C₇₉	—	4	2	no	—
145	C₂×C₄×C₇₉	—	4	2	no	—
146	C₂×C₄×C₇₉	—	8	2	no	—
147	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
148	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
149	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
150	C₂×C₄×C₇₉	C₂×SD₁₆	1	2	yes	—
151	C₂×C₄×C₇₉	#135	1	2	yes	—
152	C₂×C₄×C₇₉	#135	1	2	yes	—
153	C₂×C₄×C₇₉	#137	1	2	yes	—
154	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
157	D₃₁₆	—	4	2	no	—
158	D₃₁₆	—	4	2	no	—
159	D₃₁₆	—	4	2	no	—
160	D₃₁₆	—	4	2	no	—
161	D₃₁₆	—	8	2	no	—
162	D₃₁₆	—	8	2	no	—
163	D₃₁₆	—	8	2	no	—
164	D₃₁₆	—	8	2	no	—
165	C₈×C₇₉	—	4	2	no	—
166	C₇₉⋊C₈	—	2	2	no	—
167	C₇₉⋊C₈	—	2	2	no	—
168	C₇₉⋊C₈	—	4	2	no	—
169	C₇₉⋊C₈	—	4	2	no	—
170	C₂²×C₇₉	#464	1	2	yes	—
171	C₂²×C₇₉	#465	1	2	yes	—
172	C₂²×C₇₉	#472	1	2	yes	—
173	C₂²×C₇₉	C₂×#121	1	1	yes	characteristic
174	C₂×D₇₉	—	8	2	no	—
175	C₂×D₇₉	—	8	2	no	—
176	C₂×D₇₉	—	8	2	no	—
177	C₂×D₇₉	—	16	4	no	—
178	C₄×C₇₉	—	2	4	no	—
179	C₄×C₇₉	—	2	1	no	—
180	C₄×C₇₉	—	2	1	no	—
181	C₄×C₇₉	—	4	2	no	—
182	C₄×C₇₉	—	8	2	no	—
183	C₄×C₇₉	#464	1	2	yes	—
184	C₄×C₇₉	#465	1	2	yes	—
185	C₄×C₇₉	C₂²×SD₁₆	1	1	yes	characteristic
186	C₄×C₇₉	C₂×#135	1	1	yes	characteristic
187	C₄×C₇₉	C₂×#135	1	1	yes	characteristic
188	C₄×C₇₉	C₂×#137	1	1	yes	characteristic
189	C₂×#1678	—	79	1	no	maximal, Sylow
190	C₂×C₇₉	#1678	1	4	yes	complemented
191	C₂×C₇₉	C₂×#464	1	1	yes	characteristic
192	C₂×C₇₉	C₂×#465	1	1	yes	characteristic
193	C₂×C₇₉	C₂×#472	1	1	yes	characteristic
194	D₇₉	—	16	2	no	—
195	C₂×#486	—	79	1	no	—
196	C₂×#477	D₇₉	1	1	yes	characteristic, complemented
197	C₂×#460	—	79	1	no	—
198	C₂×C₈×Q₈	—	79	1	no	—
199	#1678	—	79	8	no	—
200	C₂×#334	—	79	1	no	—
201	C₂×#333	—	79	1	no	—
202	C₂×#331	—	79	1	no	—
203	C₇₉	C₂×#1678	1	1	yes	characteristic, complemented, Sylow
204	C₂²×SD₁₆	—	158	1	no	—
205	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
206	C₂×#127	—	79	1	no	—
207	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic
208	#486	—	79	4	no	—
209	#486	—	158	2	no	—
210	#477	—	2	2	no	—
211	#477	C₂×D₇₉	1	4	yes	complemented
212	#460	—	79	4	no	—
213	#460	—	158	2	no	—
214	C₈×Q₈	—	79	4	no	—
215	C₈×Q₈	—	158	2	no	—
216	C₂×#107	—	2	1	no	—
217	C₂×C₄⋊C₈	—	79	1	no	—
218	C₂×C₄⋊C₈	—	79	1	no	—
219	C₂×C₄⋊C₈	—	158	1	no	—
220	C₂×C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic
221	C₂×#103	—	2	1	no	—
222	C₂×#102	—	158	1	no	—
223	C₂×#102	—	158	1	no	—
224	C₂×#102	—	158	1	no	—
225	C₂×C₄×C₈	—	79	1	no	—
226	C₂×C₄×C₈	—	158	1	no	—
227	#334	—	79	4	no	—
228	#333	—	79	4	no	—
229	#331	—	79	4	no	—
230	C₂²×Q₈	—	2	1	no	—
231	C₂²×Q₈	C₂²⋊D₇₉	1	1	yes	characteristic
232	C₂²×D₄	—	158	1	no	—
233	C₂²×D₄	—	158	1	no	—
234	C₂²×D₄	—	158	1	no	—
235	C₂×SD₁₆	—	316	4	no	—
236	C₂×SD₁₆	—	158	4	no	—
237	C₂²×C₈	—	2	1	no	—
238	C₂²×C₈	—	79	1	no	—
239	C₂²×C₈	—	79	1	no	—
240	C₂²×C₈	—	158	1	no	—
241	C₂²×C₈	—	158	1	no	—
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
246	#127	—	79	2	no	—
247	#127	—	158	1	no	—
248	#127	—	158	1	no	—
249	#127	—	158	1	no	—
250	C₄×Q₈	—	2	1	no	—
251	C₄×Q₈	—	2	1	no	—
252	C₄×Q₈	C₂²⋊D₇₉	1	2	yes	—
253	C₄×Q₈	C₂²×D₇₉	1	2	yes	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	1	yes	characteristic
258	C₂×C₄²	—	2	1	no	—
259	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
260	#107	—	2	4	no	—
261	C₄⋊C₈	—	2	1	no	—
262	C₄⋊C₈	—	79	2	no	—
263	C₄⋊C₈	—	79	2	no	—
264	C₄⋊C₈	—	158	4	no	—
265	C₄⋊C₈	—	158	1	no	—
266	C₄⋊C₈	—	158	1	no	—
267	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
268	#103	—	2	4	no	—
269	#102	—	158	4	no	—
270	#102	—	158	4	no	—
271	#102	—	158	4	no	—
272	C₄×C₈	—	79	2	no	—
273	C₄×C₈	—	79	2	no	—
274	C₄×C₈	—	158	4	no	—
275	C₂⁴	—	316	1	no	—
276	C₂×Q₈	—	2	1	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×Q₈	—	8	2	no	—
281	C₂×Q₈	#11929611	1	4	yes	—
282	C₂×Q₈	C₂×C₂²⋊D₇₉	1	2	yes	—
283	C₂×D₄	—	316	1	no	—
284	C₂×D₄	—	316	1	no	—
285	C₂×D₄	—	316	1	no	—
286	C₂×D₄	—	316	2	no	—
287	C₂×D₄	—	316	2	no	—
288	C₂×D₄	—	316	2	no	—
289	C₂×D₄	—	316	2	no	—
290	C₂×D₄	—	632	2	no	—
291	C₂×D₄	—	158	2	no	—
292	C₂×D₄	—	158	2	no	—
293	C₂×D₄	—	158	2	no	—
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	2	1	no	—
296	C₂²×C₄	—	4	1	no	—
297	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
299	C₂²×C₄	#11929623	1	1	yes	characteristic
300	SD₁₆	—	316	8	no	—
301	C₂×C₈	—	2	2	no	—
302	C₂×C₈	—	4	2	no	—
303	C₂×C₈	—	316	2	no	—
304	C₂×C₈	—	316	2	no	—
305	C₂×C₈	—	79	2	no	—
306	C₂×C₈	—	79	2	no	—
307	C₂×C₈	—	158	2	no	—
308	C₂×C₈	—	158	2	no	—
309	C₂×C₈	—	158	2	no	—
310	C₂×C₈	—	158	2	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	2	1	no	—
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	4	1	no	—
317	C₄⋊C₄	—	4	1	no	—
318	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	2	yes	—
319	C₄²	—	2	2	no	—
320	C₄²	—	2	2	no	—
321	C₄²	D₄×D₇₉	1	1	yes	characteristic
322	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
323	C₄²	#11929623	1	1	yes	characteristic
324	C₄²	C₂³×D₇₉	1	1	yes	characteristic
325	C₂³	—	316	2	no	—
326	C₂³	—	632	2	no	—
327	C₂³	—	632	2	no	—
328	C₂³	—	632	2	no	—
329	C₂³	#14579133	1	1	yes	characteristic
330	Q₈	—	2	4	no	—
331	Q₈	—	2	2	no	—
332	Q₈	—	8	2	no	—
333	Q₈	—	8	2	no	—
334	Q₈	C₂×#11929611	1	4	yes	—
335	D₄	—	316	2	no	—
336	D₄	—	316	2	no	—
337	D₄	—	316	2	no	—
338	D₄	—	316	2	no	—
339	D₄	—	632	2	no	—
340	D₄	—	632	2	no	—
341	D₄	—	632	2	no	—
342	D₄	—	632	2	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	#14579133	1	1	yes	characteristic
351	C₂×C₄	#14579133	1	1	yes	characteristic
352	C₂×C₄	#14579133	1	1	yes	characteristic
353	C₂×C₄	C₂×#11929611	1	2	yes	—
354	C₂×C₄	#14579181	1	2	yes	—
355	C₂×C₄	#14579184	1	2	yes	—
356	C₂×C₄	#14579193	1	2	yes	—
357	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
358	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
359	C₂×C₄	C₂×#11929623	1	1	yes	characteristic
360	C₈	—	4	2	no	—
361	C₈	—	316	2	no	—
362	C₈	—	316	2	no	—
363	C₈	—	158	2	no	—
364	C₈	—	158	2	no	—
365	C₂²	—	632	2	no	—
366	C₂²	—	632	2	no	—
367	C₂²	—	632	2	no	—
368	C₂²	—	1264	4	no	—
369	C₂²	#19098787	1	2	yes	—
370	C₂²	#19098794	1	2	yes	—
371	C₂²	#19098831	1	2	yes	—
372	C₂²	C₂×#14579133	1	1	yes	characteristic
373	C₄	—	2	4	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	4	2	no	—
377	C₄	—	8	2	no	—
378	C₄	#19098787	1	2	yes	—
379	C₄	#19098794	1	2	yes	—
380	C₄	C₂²×#11929611	1	1	yes	characteristic
381	C₄	C₂×#14579181	1	1	yes	characteristic
382	C₄	C₂×#14579184	1	1	yes	characteristic
383	C₄	C₂×#14579193	1	1	yes	characteristic
384	C₂	—	1264	2	no	—
385	C₂	#23762818	1	4	yes	direct product factor
386	C₂	C₂×#19098787	1	1	yes	characteristic
387	C₂	C₂×#19098794	1	1	yes	characteristic
388	C₂	C₂×#19098831	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#14579133
commutator, cosocle	C₄²×C₇₉	C₂⁴
Frattini	C₄²	C₂³×D₇₉
Fitting	C₂×#477×C₇₉	C₂
socle	C₂³×C₇₉	#121
prime radical	C₂×#14579158	C₂²
hypercenter	C₂×#477	D₇₉
hypocenter	C₇₉	C₂×#1678
LCS	G ▷ C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#477

Complements

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

N	H ≅ G/N	type
3. C₂×Q₈×C₇₉⋊C₈	C₂	semidirect
4. #23762818	C₂	direct (N × H)
5. C₂×#19098313	C₂	semidirect
6. C₂×#19098312	C₂	semidirect
8. C₂×#477×C₇₉	C₂	semidirect
16. Q₈×C₇₉⋊C₈	C₂²	semidirect
25. #19098313	C₂²	semidirect
26. #19098312	C₂²	semidirect
31. #477×C₇₉	C₂²	semidirect
190. C₂×C₇₉	#1678	semidirect
196. C₂×#477	D₇₉	semidirect
203. C₇₉	C₂×#1678	semidirect
211. #477	C₂×D₇₉	semidirect
385. C₂	#23762818	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#19098911	2
C₂×#19098763	2
C₂×Q₈×C₇₉⋊C₈	2
#23762818	2
C₂×#19098313	2
C₂×#19098312	2
C₂×#19098306	2
C₂×#477×C₇₉	2
C₂×#1678	79

Subgroups — C2×#23762818 #34270647

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23762818 #34270647