Subgroups — #34285607

Order 20224.

1526 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098520	C₂	1	2	yes	maximal
2	C₂×#19098517	C₂	1	2	yes	maximal
3	C₂×#19098515	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₈×D₇₉	C₂	1	1	yes	maximal, characteristic
5	#23765739	C₂	1	1	yes	maximal, characteristic
6	#23763088	C₂	1	1	yes	maximal, characteristic, complemented
7	#23763087	C₂	1	1	yes	maximal, characteristic, complemented
8	#23763086	C₂	1	1	yes	maximal, characteristic, complemented
9	#97×Dic₇₉	C₂	1	2	yes	maximal, complemented
10	C₄×C₈×Dic₇₉	C₂	1	2	yes	maximal, complemented
11	C₇₉×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#11929607	C₂²	1	2	yes	—
13	C₂²×C₈×D₇₉	C₂²	1	1	yes	characteristic
14	C₂²×C₈×D₇₉	C₂²	1	1	yes	characteristic
15	C₂×#14579118	C₂²	1	2	yes	—
16	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
17	#19098520	C₄	1	16	yes	complemented
18	#19098517	C₄	1	16	yes	complemented
19	#19098515	C₄	1	8	yes	complemented
20	C₂×#14579072	C₂²	1	1	yes	characteristic
21	C₂×#14579072	C₂²	1	2	yes	—
22	C₂×#14579071	C₂²	1	2	yes	—
23	C₂×#14579071	C₂²	1	2	yes	—
24	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₇₉⋊C₈	C₂²	1	2	yes	—
26	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
27	C₂×C₈×Dic₇₉	C₂²	1	2	yes	—
28	C₂×C₈×Dic₇₉	C₂²	1	1	yes	characteristic
29	C₂×C₈×Dic₇₉	C₂²	1	2	yes	—
30	C₂×C₈×Dic₇₉	C₂²	1	2	yes	—
31	C₄×C₈×D₇₉	C₄	1	8	yes	complemented
32	#19098414	C₄	1	4	yes	—
33	#19098410	C₄	1	4	yes	—
34	#19098409	C₂²	1	1	yes	characteristic
35	C₄²×Dic₇₉	C₂²	1	2	yes	—
36	C₂×#97×C₇₉	C₂²	1	1	yes	characteristic
37	C₂×#97×C₇₉	C₂²	1	2	yes	—
38	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₈×C₇₉	C₂²	1	2	yes	—
40	#376×C₇₉	C₂²	1	1	yes	characteristic
41	C₂²×C₄×D₇₉	C₂×C₄	1	2	yes	—
42	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
43	C₂×#11929607	C₂×C₄	1	8	yes	—
44	C₂×#11929607	C₂×C₄	1	8	yes	—
45	C₂×#11929607	C₂×C₄	1	8	yes	—
46	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
47	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
48	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
49	C₂×C₈×D₇₉	C₂×C₄	1	4	yes	—
50	C₂×C₈×D₇₉	C₂×C₄	1	4	yes	—
51	C₂×C₈×D₇₉	C₂×C₄	1	8	yes	—
52	C₂×C₈×D₇₉	C₂×C₄	1	8	yes	—
53	#14579118	C₂×C₄	1	8	yes	—
54	#14579118	C₂×C₄	1	8	yes	—
55	C₂×Dic₇₉⋊C₄	C₂×C₄	1	4	yes	—
56	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	4	yes	—
57	C₂×C₄×Dic₇₉	C₂×C₄	1	8	yes	—
58	C₂×C₄×Dic₇₉	C₂×C₄	1	2	yes	—
59	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
60	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
61	C₄²×D₇₉	C₂×C₄	1	4	yes	—
62	C₄²×D₇₉	C₂×C₄	1	4	yes	—
63	#14579072	C₂×C₄	1	4	yes	—
64	#14579072	C₂×C₄	1	8	yes	complemented
65	#14579071	C₂×C₄	1	8	yes	complemented
66	#14579071	C₂×C₄	1	8	yes	complemented
67	C₄×C₇₉⋊C₈	C₂×C₄	1	4	yes	—
68	C₄×C₇₉⋊C₈	C₂×C₄	1	8	yes	complemented
69	C₈×Dic₇₉	C₂×C₄	1	4	yes	—
70	C₈×Dic₇₉	C₂×C₄	1	4	yes	—
71	C₈×Dic₇₉	C₂×C₄	1	8	yes	—
72	C₈×Dic₇₉	C₂×C₄	1	8	yes	complemented
73	C₈×Dic₇₉	C₂×C₄	1	8	yes	complemented
74	C₇₉⋊#95	C₂×C₄	1	4	yes	—
75	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
76	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
78	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
79	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
80	#97×C₇₉	C₂×C₄	1	4	yes	—
81	#97×C₇₉	C₂×C₄	1	8	yes	complemented
82	C₄×C₈×C₇₉	C₂×C₄	1	4	yes	—
83	C₄×C₈×C₇₉	C₂×C₄	1	8	yes	complemented
84	#95×C₇₉	C₂×C₄	1	4	yes	—
85	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
86	C₂²×Dic₇₉	C₂²×C₄	1	4	yes	—
87	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
88	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
89	C₂×C₄×D₇₉	—	2	8	no	—
90	C₂×C₄×D₇₉	C₄²	1	8	yes	—
91	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
92	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
93	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
94	C₂×C₄×D₇₉	C₂²×C₄	1	4	yes	—
95	#11929607	C₄²	1	32	yes	complemented
96	C₂×C₇₉⋊C₈	C₂²×C₄	1	2	yes	—
97	C₂×C₇₉⋊C₈	C₂²×C₄	1	2	yes	—
98	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
99	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
100	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
101	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
102	C₂×C₇₉⋊C₈	C₂²×C₄	1	4	yes	—
103	C₈×D₇₉	C₄²	1	16	yes	complemented
104	C₈×D₇₉	C₄²	1	16	yes	complemented
105	Dic₇₉⋊C₄	C₄²	1	16	yes	—
106	(C₂×D₇₉)⋊C₄	C₄²	1	16	yes	—
107	C₄×Dic₇₉	—	2	16	no	—
108	C₄×Dic₇₉	C₄²	1	8	yes	—
109	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
110	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
111	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
112	C₄×Dic₇₉	C₂²×C₄	1	4	yes	—
113	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
114	C₂²×C₄×C₇₉	C₂²×C₄	1	4	yes	—
115	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
116	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
117	C₂×C₈×C₇₉	C₂²×C₄	1	2	yes	—
118	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
119	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
120	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
121	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
122	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
123	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
124	C₄²×C₇₉	C₂²×C₄	1	4	yes	—
125	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
126	C₄²×C₇₉	C₂²×C₄	1	4	yes	—
127	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
128	C₂²×D₇₉	—	2	4	no	—
129	C₂²×D₇₉	C₂×C₄²	1	4	yes	—
130	C₂²×D₇₉	C₂×C₄²	1	2	yes	—
131	C₂×C₄×C₇₉	—	2	8	no	—
132	C₂×C₄×C₇₉	—	2	4	no	—
133	C₂×C₄×C₇₉	C₂×C₄²	1	4	yes	—
134	C₂×C₄×C₇₉	C₂×C₄²	1	8	yes	—
135	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
136	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
138	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
139	C₂×Dic₇₉	—	2	8	no	—
140	C₂×Dic₇₉	C₂×C₄²	1	8	yes	—
141	C₂×Dic₇₉	C₂×C₄²	1	2	yes	—
142	C₂×Dic₇₉	C₂×C₄²	1	4	yes	—
143	C₂×Dic₇₉	C₂×C₄²	1	4	yes	—
144	C₂×Dic₇₉	#131	1	8	yes	—
145	C₄×D₇₉	—	2	16	no	—
146	C₄×D₇₉	C₂×C₄²	1	4	yes	—
147	C₄×D₇₉	C₂×C₄²	1	4	yes	—
148	C₄×D₇₉	C₂×C₄²	1	8	yes	—
149	C₈×C₇₉	C₂×C₄²	1	4	yes	—
150	C₈×C₇₉	C₂×C₄²	1	4	yes	—
151	C₈×C₇₉	C₂×C₄²	1	8	yes	—
152	C₇₉⋊C₈	C₂×C₄²	1	4	yes	—
153	C₇₉⋊C₈	C₂×C₄²	1	4	yes	—
154	C₇₉⋊C₈	C₂×C₄²	1	8	yes	—
155	C₂²×C₇₉	C₂²×C₄²	1	1	yes	characteristic
156	C₂²×C₇₉	C₂²×C₄²	1	2	yes	—
157	C₂²×C₇₉	C₂×#131	1	4	yes	—
158	C₂×D₇₉	—	2	4	no	—
159	C₂×D₇₉	—	2	8	no	—
160	C₂×D₇₉	C₄³	1	4	yes	—
161	C₄×C₇₉	—	2	4	no	—
162	C₄×C₇₉	—	2	8	no	—
163	C₄×C₇₉	C₂²×C₄²	1	1	yes	characteristic
164	C₄×C₇₉	C₂²×C₄²	1	1	yes	characteristic
165	C₄×C₇₉	C₂²×C₄²	1	2	yes	—
166	Dic₇₉	—	2	8	no	—
167	Dic₇₉	C₄³	1	4	yes	—
168	Dic₇₉	#405	1	8	yes	complemented
169	C₄×#405	—	79	1	no	maximal, Sylow
170	C₂×C₇₉	C₂×C₄³	1	1	yes	characteristic
171	C₂×C₇₉	C₂×#405	1	2	yes	—
172	C₂×C₇₉	C₄×#131	1	4	yes	—
173	D₇₉	—	2	4	no	—
174	C₂×#405	—	79	2	no	—
175	C₂×#405	—	79	2	no	—
176	C₂×C₄×M₁₆	—	79	1	no	—
177	C₂²×C₄×C₈	—	79	1	no	—
178	C₄×#117	—	79	1	no	—
179	#1726	—	79	1	no	—
180	#1726	—	79	1	no	—
181	#1726	—	79	1	no	—
182	#1726	D₇₉	1	1	yes	characteristic, complemented
183	C₄×#97	—	79	2	no	—
184	C₄²×C₈	—	79	2	no	—
185	C₇₉	C₄×#405	1	1	yes	characteristic, complemented, Sylow
186	C₂²×M₁₆	—	79	2	no	—
187	C₂³×C₈	—	79	1	no	—
188	C₂³×C₈	—	79	1	no	—
189	C₂×#117	—	79	2	no	—
190	C₂²×C₄²	—	79	1	no	—
191	#405	—	79	16	no	—
192	#405	—	79	16	no	—
193	C₄×M₁₆	—	79	8	no	—
194	C₂×#97	—	79	2	no	—
195	C₂×#97	—	79	2	no	—
196	C₂×#97	—	79	1	no	—
197	C₂×#97	—	79	2	no	—
198	C₂×#97	C₂×D₇₉	1	1	yes	characteristic
199	C₂×#97	C₂×D₇₉	1	2	yes	—
200	C₂×C₄×C₈	—	79	1	no	—
201	C₂×C₄×C₈	—	79	2	no	—
202	C₂×C₄×C₈	—	79	2	no	—
203	C₂×C₄×C₈	—	79	1	no	—
204	C₂×C₄×C₈	—	79	2	no	—
205	C₂×C₄×C₈	—	79	1	no	—
206	C₂×C₄×C₈	—	79	2	no	—
207	C₂×C₄×C₈	—	79	8	no	—
208	C₂×C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
209	C₂×C₄×C₈	C₂×D₇₉	1	2	yes	—
210	C₄×C₄⋊C₄	—	79	4	no	—
211	C₄×C₂²⋊C₄	—	79	4	no	—
212	#376	—	79	1	no	—
213	#376	C₂×D₇₉	1	1	yes	characteristic
214	C₄³	—	79	2	no	—
215	C₂³×C₄	—	79	1	no	—
216	C₂³×C₄	—	79	2	no	—
217	C₂×M₁₆	—	79	8	no	—
218	C₂×M₁₆	—	79	8	no	—
219	C₂×M₁₆	—	79	8	no	—
220	C₂²×C₈	—	79	1	no	—
221	C₂²×C₈	—	79	1	no	—
222	C₂²×C₈	—	79	2	no	—
223	C₂²×C₈	—	79	4	no	—
224	C₂²×C₈	—	79	4	no	—
225	C₂²×C₈	—	79	8	no	—
226	C₂²×C₈	—	79	8	no	—
227	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
228	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
229	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
230	#117	—	79	8	no	—
231	#117	—	79	8	no	—
232	C₂×C₄⋊C₄	—	79	4	no	—
233	C₂×C₂²⋊C₄	—	79	4	no	—
234	C₂×C₄²	—	79	2	no	—
235	C₂×C₄²	—	79	2	no	—
236	C₂×C₄²	—	79	1	no	—
237	C₂×C₄²	—	79	4	no	—
238	C₂×C₄²	—	79	4	no	—
239	C₂×C₄²	—	79	8	no	—
240	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
241	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
242	#97	—	79	8	no	—
243	#97	—	79	8	no	—
244	#97	—	79	4	no	—
245	#97	—	79	8	no	—
246	#97	C₄×D₇₉	1	4	yes	—
247	#97	C₄×D₇₉	1	8	yes	complemented
248	C₄×C₈	—	79	4	no	—
249	C₄×C₈	—	79	4	no	—
250	C₄×C₈	—	79	8	no	—
251	C₄×C₈	—	79	8	no	—
252	C₄×C₈	—	79	8	no	—
253	C₄×C₈	—	79	4	no	—
254	C₄×C₈	—	79	8	no	—
255	C₄×C₈	C₄×D₇₉	1	4	yes	—
256	C₄×C₈	C₄×D₇₉	1	8	yes	complemented
257	#95	—	79	4	no	—
258	#95	C₄×D₇₉	1	4	yes	—
259	C₂⁴	—	79	1	no	—
260	C₂²×C₄	—	79	2	no	—
261	C₂²×C₄	—	79	1	no	—
262	C₂²×C₄	—	79	2	no	—
263	C₂²×C₄	—	79	2	no	—
264	C₂²×C₄	—	79	4	no	—
265	C₂²×C₄	—	79	4	no	—
266	C₂²×C₄	—	79	4	no	—
267	C₂²×C₄	—	79	8	no	—
268	C₂²×C₄	—	158	8	no	—
269	C₂²×C₄	C₂×C₄×D₇₉	1	2	yes	—
270	C₂²×C₄	C₂×C₄×D₇₉	1	4	yes	—
271	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
272	M₁₆	—	79	32	no	—
273	C₂×C₈	—	79	2	no	—
274	C₂×C₈	—	79	2	no	—
275	C₂×C₈	—	79	4	no	—
276	C₂×C₈	—	79	4	no	—
277	C₂×C₈	—	79	4	no	—
278	C₂×C₈	—	79	4	no	—
279	C₂×C₈	—	79	4	no	—
280	C₂×C₈	—	79	16	no	—
281	C₂×C₈	—	79	16	no	—
282	C₂×C₈	C₂×C₄×D₇₉	1	2	yes	—
283	C₂×C₈	C₂×C₄×D₇₉	1	2	yes	—
284	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
285	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
286	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
287	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
288	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
289	C₄⋊C₄	—	79	16	no	—
290	C₂²⋊C₄	—	79	16	no	—
291	C₄²	—	79	8	no	—
292	C₄²	—	79	2	no	—
293	C₄²	—	79	2	no	—
294	C₄²	—	79	4	no	—
295	C₄²	—	79	4	no	—
296	C₄²	—	158	16	no	—
297	C₄²	C₂×C₄×D₇₉	1	2	yes	—
298	C₄²	C₂×C₄×D₇₉	1	4	yes	—
299	C₄²	C₂×C₄×D₇₉	1	4	yes	—
300	C₄²	C₂×C₄×D₇₉	1	2	yes	—
301	C₂³	—	79	4	no	—
302	C₂³	—	79	2	no	—
303	C₂³	—	158	4	no	—
304	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
305	C₂×C₄	—	2	8	no	—
306	C₂×C₄	—	2	4	no	—
307	C₂×C₄	—	79	4	no	—
308	C₂×C₄	—	79	2	no	—
309	C₂×C₄	—	79	4	no	—
310	C₂×C₄	—	79	8	no	—
311	C₂×C₄	—	79	4	no	—
312	C₂×C₄	—	79	4	no	—
313	C₂×C₄	—	79	8	no	—
314	C₂×C₄	—	79	8	no	—
315	C₂×C₄	—	158	16	no	—
316	C₂×C₄	—	158	8	no	—
317	C₂×C₄	C₄²×D₇₉	1	4	yes	—
318	C₂×C₄	C₄²×D₇₉	1	8	yes	—
319	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
320	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
321	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
322	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
323	C₈	—	79	4	no	—
324	C₈	—	79	4	no	—
325	C₈	—	79	8	no	—
326	C₈	C₄²×D₇₉	1	4	yes	—
327	C₈	C₄²×D₇₉	1	4	yes	—
328	C₈	C₄²×D₇₉	1	8	yes	—
329	C₂²	—	79	4	no	—
330	C₂²	—	158	4	no	—
331	C₂²	—	158	8	no	—
332	C₂²	C₂×C₄²×D₇₉	1	1	yes	characteristic
333	C₂²	C₂×C₄²×D₇₉	1	2	yes	—
334	C₂²	#131×D₇₉	1	4	yes	—
335	C₄	—	2	4	no	—
336	C₄	—	2	8	no	—
337	C₄	—	79	8	no	—
338	C₄	—	79	4	no	—
339	C₄	—	158	8	no	—
340	C₄	C₂×C₄²×D₇₉	1	1	yes	characteristic
341	C₄	C₂×C₄²×D₇₉	1	1	yes	characteristic
342	C₄	C₂×C₄²×D₇₉	1	2	yes	—
343	C₂	—	158	4	no	—
344	C₂	C₄³×D₇₉	1	1	yes	characteristic
345	C₂	#405×D₇₉	1	2	yes	—
346	C₂	#23771822	1	4	yes	—

	subgroup	G/H
center	C₂²×C₈	C₂²×D₇₉
commutator	C₂×C₇₉	C₂×C₄³
Frattini	C₂²×C₄	C₂³×D₇₉
Fitting	C₇₉×#1726	C₂
socle	C₂³×C₇₉	C₂³×C₄
prime radical	C₂³×D₇₉	C₂²×C₄
cosocle	C₂²×C₄×C₇₉	C₂⁴
hypercenter	#1726	D₇₉
hypocenter	C₇₉	C₄×#405
LCS	G ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂²×C₈ ◁ #1726

Complements

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

N	H ≅ G/N	type
6. #23763088	C₂	semidirect
7. #23763087	C₂	semidirect
8. #23763086	C₂	semidirect
9. #97×Dic₇₉	C₂	semidirect
10. C₄×C₈×Dic₇₉	C₂	semidirect
11. C₇₉×#1726	C₂	semidirect
17. #19098520	C₄	semidirect
18. #19098517	C₄	semidirect
19. #19098515	C₄	semidirect
31. C₄×C₈×D₇₉	C₄	semidirect
64. #14579072	C₂×C₄	semidirect
65. #14579071	C₂×C₄	semidirect
66. #14579071	C₂×C₄	semidirect
68. C₄×C₇₉⋊C₈	C₂×C₄	semidirect
72. C₈×Dic₇₉	C₂×C₄	semidirect
73. C₈×Dic₇₉	C₂×C₄	semidirect
81. #97×C₇₉	C₂×C₄	semidirect
83. C₄×C₈×C₇₉	C₂×C₄	semidirect
95. #11929607	C₄²	semidirect
103. C₈×D₇₉	C₄²	semidirect
104. C₈×D₇₉	C₄²	semidirect
168. Dic₇₉	#405	semidirect
182. #1726	D₇₉	semidirect
185. C₇₉	C₄×#405	semidirect
247. #97	C₄×D₇₉	semidirect
256. C₄×C₈	C₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19098520	2
C₂×#19098517	2
C₂×#19098515	2
C₂×C₄×C₈×D₇₉	2
#23765739	2
#23763088	2
#23763087	2
#23763086	2
#97×Dic₇₉	2
C₄×C₈×Dic₇₉	2
C₇₉×#1726	2
C₄×#405	79