Subgroups — #34307167

Order 20224.

638 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	M₁₆×Dic₁₅₈	C₂	1	1	yes	maximal, characteristic
2	#23772351	C₂	1	1	yes	maximal, characteristic
3	C₂×#19098690	C₂	1	1	yes	maximal, characteristic
4	#23764176	C₂	1	1	yes	maximal, characteristic
5	#23764174	C₂	1	2	yes	maximal
6	#23764172	C₂	1	2	yes	maximal
7	#23763573	C₂	1	2	yes	maximal
8	#23763571	C₂	1	1	yes	maximal, characteristic
9	#23763305	C₂	1	2	yes	maximal
10	C₄×#14579096	C₂	1	1	yes	maximal, characteristic
11	C₇₉×#1950	C₂	1	1	yes	maximal, characteristic
12	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
13	#19098693	—	2	1	no	—
14	#19098692	—	2	2	no	—
15	#19098691	—	2	2	no	—
16	#19098690	—	2	1	no	—
17	#19098690	C₄	1	2	yes	—
18	#19098690	C₄	1	2	yes	—
19	#19098690	C₄	1	4	yes	—
20	C₈×Dic₁₅₈	—	2	1	no	—
21	#19098687	—	2	1	no	—
22	C₂×#14579097	C₂²	1	2	yes	—
23	C₂×#14579096	C₂²	1	1	yes	characteristic
24	C₂×#14579096	C₂²	1	2	yes	—
25	C₂×#14579096	C₂²	1	2	yes	—
26	C₂×#14579096	C₂²	1	1	yes	characteristic
27	#19098587	C₂²	1	1	yes	characteristic
28	#19098586	C₂²	1	2	yes	—
29	#19098586	C₂²	1	2	yes	—
30	C₂×Dic₇₉⋊C₈	C₂²	1	2	yes	—
31	C₄×#11929608	C₂²	1	1	yes	characteristic
32	M₁₆×Dic₇₉	C₂²	1	2	yes	—
33	M₁₆×Dic₇₉	C₂²	1	2	yes	—
34	C₂×#14579071	C₂²	1	2	yes	—
35	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
36	#19098328	C₂²	1	2	yes	—
37	#19098327	C₂²	1	1	yes	characteristic
38	#19098327	C₂²	1	1	yes	characteristic
39	C₂×#108×C₇₉	C₂²	1	2	yes	—
40	#423×C₇₉	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
42	C₄×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
43	#341×C₇₉	C₂²	1	2	yes	—
44	C₂²×Dic₁₅₈	Q₈	1	1	yes	characteristic
45	C₂×#11929608	C₂³	1	2	yes	—
46	C₂×#11929608	C₂³	1	1	yes	characteristic
47	C₂×#11929608	C₂³	1	1	yes	characteristic
48	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
49	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
50	C₄×Dic₁₅₈	C₂×C₄	1	1	yes	characteristic
51	C₄×Dic₁₅₈	C₂×C₄	1	1	yes	characteristic
52	C₄×Dic₁₅₈	C₂×C₄	1	2	yes	—
53	C₄×Dic₁₅₈	D₄	1	1	yes	characteristic
54	C₄×Dic₁₅₈	D₄	1	1	yes	characteristic
55	C₄×Dic₁₅₈	D₄	1	2	yes	—
56	C₂×C₄⋊Dic₇₉	Q₈	1	1	yes	characteristic
57	C₂×Dic₇₉⋊C₄	Q₈	1	2	yes	—
58	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
59	#14579097	—	4	2	no	—
60	#14579096	—	2	2	no	—
61	#14579096	—	2	4	no	—
62	#14579096	—	4	2	no	—
63	#14579096	Q₈	1	4	yes	complemented
64	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
65	C₄⋊(C₇₉⋊C₈)	—	2	1	no	—
66	Dic₇₉⋊C₈	—	2	2	no	—
67	Dic₇₉⋊C₈	—	2	2	no	—
68	Dic₇₉⋊C₈	—	2	2	no	—
69	Dic₇₉⋊C₈	—	2	2	no	—
70	Dic₇₉⋊C₈	C₂×C₄	1	4	yes	—
71	Dic₇₉⋊C₈	C₂×C₄	1	4	yes	—
72	#14579072	—	2	1	no	—
73	#14579071	—	2	2	no	—
74	#14579071	—	2	2	no	—
75	#14579071	C₂×C₄	1	4	yes	—
76	#14579071	C₂×C₄	1	4	yes	—
77	C₄×C₇₉⋊C₈	—	2	1	no	—
78	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
79	C₄×C₇₉⋊C₈	C₂×C₄	1	2	yes	—
80	C₈×Dic₇₉	—	2	2	no	—
81	C₈×Dic₇₉	—	2	2	no	—
82	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
83	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
84	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
85	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
86	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
87	#108×C₇₉	—	4	2	no	—
88	C₄⋊C₈×C₇₉	—	2	1	no	—
89	C₄⋊C₈×C₇₉	—	2	1	no	—
90	C₄⋊C₈×C₇₉	C₂×C₄	1	2	yes	—
91	C₄⋊C₈×C₇₉	C₂×C₄	1	2	yes	—
92	#97×C₇₉	—	2	1	no	—
93	C₄×C₈×C₇₉	—	2	1	no	—
94	C₂×Dic₁₅₈	—	4	2	no	—
95	C₂×Dic₁₅₈	C₄⋊C₄	1	1	yes	characteristic
96	C₂×Dic₁₅₈	C₄⋊C₄	1	1	yes	characteristic
97	C₂×Dic₁₅₈	C₄⋊C₄	1	2	yes	—
98	C₂²×Dic₇₉	C₂×Q₈	1	2	yes	—
99	C₂²×Dic₇₉	C₂×Q₈	1	2	yes	—
100	#11929608	—	2	2	no	—
101	#11929608	—	2	1	no	—
102	#11929608	—	2	2	no	—
103	#11929608	—	2	1	no	—
104	#11929608	—	2	1	no	—
105	#11929608	C₂×Q₈	1	2	yes	—
106	C₂×C₇₉⋊C₈	—	2	1	no	—
107	C₂×C₇₉⋊C₈	—	2	2	no	—
108	C₂×C₇₉⋊C₈	—	2	1	no	—
109	C₂×C₇₉⋊C₈	—	2	1	no	—
110	C₂×C₇₉⋊C₈	—	2	1	no	—
111	C₂×C₇₉⋊C₈	C₂²×C₄	1	2	yes	—
112	C₂×C₇₉⋊C₈	C₂²×C₄	1	2	yes	—
113	C₂×C₇₉⋊C₈	C₂×Q₈	1	2	yes	—
114	C₂×C₇₉⋊C₈	#41	1	2	yes	—
115	C₄⋊Dic₇₉	C₄⋊C₄	1	2	yes	—
116	C₄⋊Dic₇₉	C₄⋊C₄	1	1	yes	characteristic
117	C₄⋊Dic₇₉	C₄⋊C₄	1	1	yes	characteristic
118	Dic₇₉⋊C₄	C₄⋊C₄	1	2	yes	—
119	Dic₇₉⋊C₄	C₄⋊C₄	1	2	yes	—
120	Dic₇₉⋊C₄	C₄⋊C₄	1	2	yes	—
121	Dic₇₉⋊C₄	C₄⋊C₄	1	2	yes	—
122	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
123	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
124	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
125	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
126	C₂²×C₄×C₇₉	C₂×Q₈	1	1	yes	characteristic
127	C₂²×C₄×C₇₉	C₂×Q₈	1	1	yes	characteristic
128	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
129	M₁₆×C₇₉	—	2	2	no	—
130	M₁₆×C₇₉	—	2	1	no	—
131	M₁₆×C₇₉	—	2	1	no	—
132	M₁₆×C₇₉	—	2	2	no	—
133	M₁₆×C₇₉	—	2	1	no	—
134	M₁₆×C₇₉	C₂×Q₈	1	2	yes	—
135	C₂×C₈×C₇₉	—	2	1	no	—
136	C₂×C₈×C₇₉	—	2	1	no	—
137	C₂×C₈×C₇₉	—	2	2	no	—
138	C₂×C₈×C₇₉	—	2	2	no	—
139	C₂×C₈×C₇₉	—	2	2	no	—
140	C₂×C₈×C₇₉	C₂²×C₄	1	4	yes	—
141	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
142	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
143	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
144	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
145	C₂³×C₇₉	C₂²×Q₈	1	1	yes	characteristic
146	C₂×C₄×C₇₉	—	2	2	no	—
147	C₂×C₄×C₇₉	—	4	1	no	—
148	C₂×C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
149	C₂×C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
151	C₂×C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
152	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₇₉	C₂²×Q₈	1	1	yes	characteristic
155	C₂×C₄×C₇₉	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₇₉	H(5,𝔽₂)	1	1	yes	characteristic
157	C₂×C₄×C₇₉	2₋¹⁺⁴	1	1	yes	characteristic
158	C₂×Dic₇₉	—	4	2	no	—
159	C₂×Dic₇₉	—	4	2	no	—
160	C₂×Dic₇₉	C₂×C₄⋊C₄	1	2	yes	—
161	C₂×Dic₇₉	C₂×C₄⋊C₄	1	2	yes	—
162	C₂×Dic₇₉	C₂×C₄⋊C₄	1	2	yes	—
163	C₂×Dic₇₉	C₂×C₄⋊C₄	1	2	yes	—
164	Dic₁₅₈	—	2	2	no	—
165	Dic₁₅₈	—	2	2	no	—
166	Dic₁₅₈	—	4	2	no	—
167	C₈×C₇₉	—	2	4	no	—
168	C₈×C₇₉	—	2	2	no	—
169	C₈×C₇₉	—	4	1	no	—
170	C₈×C₇₉	—	4	2	no	—
171	C₇₉⋊C₈	—	2	2	no	—
172	C₇₉⋊C₈	—	2	2	no	—
173	C₇₉⋊C₈	—	4	2	no	—
174	C₇₉⋊C₈	—	4	1	no	—
175	C₇₉⋊C₈	C₄×Q₈	1	4	yes	—
176	C₂²×C₇₉	—	2	1	no	—
177	C₂²×C₇₉	—	2	1	no	—
178	C₂²×C₇₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
179	C₂²×C₇₉	#557	1	1	yes	characteristic
180	C₂²×C₇₉	Q₈²	1	1	yes	characteristic
181	C₄×C₇₉	—	2	1	no	—
182	C₄×C₇₉	—	2	1	no	—
183	C₄×C₇₉	—	2	1	no	—
184	C₄×C₇₉	#430	1	2	yes	—
185	C₄×C₇₉	C₂×C₄×Q₈	1	1	yes	characteristic
186	C₄×C₇₉	#520	1	1	yes	characteristic
187	C₄×C₇₉	D₄×Q₈	1	1	yes	characteristic
188	C₄×C₇₉	#550	1	1	yes	characteristic
189	Dic₇₉	—	2	2	no	—
190	Dic₇₉	—	2	2	no	—
191	Dic₇₉	—	2	2	no	—
192	Dic₇₉	—	2	2	no	—
193	#22733	—	79	1	no	maximal, Sylow
194	C₂×C₇₉	—	2	1	no	—
195	C₂×C₇₉	—	2	1	no	—
196	C₂×C₇₉	Q₈×C₄⋊C₄	1	1	yes	characteristic
197	C₂×C₇₉	C₂×#430	1	1	yes	characteristic
198	C₂×C₇₉	#2916	1	1	yes	characteristic
199	Q₈×M₁₆	—	79	1	no	—
200	Q₈×M₁₆	—	79	1	no	—
201	C₂×#446	—	79	1	no	—
202	#1950	—	79	2	no	—
203	#1950	—	79	1	no	—
204	#1950	—	79	2	no	—
205	#1950	D₇₉	1	1	yes	characteristic
206	#1849	—	79	2	no	—
207	#1848	—	79	1	no	—
208	#1778	—	79	2	no	—
209	C₄×#108	—	79	1	no	—
210	C₇₉	#22733	1	1	yes	characteristic, complemented, Sylow
211	C₂×C₄×Q₈	—	79	1	no	—
212	#446	—	79	4	no	—
213	#446	—	79	2	no	—
214	#446	—	79	2	no	—
215	#446	—	158	1	no	—
216	#446	—	158	2	no	—
217	#446	—	158	1	no	—
218	#446	—	158	2	no	—
219	C₈×Q₈	—	158	1	no	—
220	C₈×Q₈	—	158	1	no	—
221	C₂×#108	—	79	2	no	—
222	C₂×#108	—	79	2	no	—
223	C₂×#108	—	79	1	no	—
224	C₂×#108	—	79	2	no	—
225	C₂×#108	—	79	1	no	—
226	C₂×#108	C₂×D₇₉	1	2	yes	—
227	#423	—	79	2	no	—
228	#423	—	79	2	no	—
229	#423	—	79	1	no	—
230	#423	C₂×D₇₉	1	1	yes	characteristic
231	C₂×C₄⋊C₈	—	79	2	no	—
232	C₂×C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic
233	C₄×M₁₆	—	79	2	no	—
234	C₄×M₁₆	—	79	2	no	—
235	C₄×M₁₆	—	79	1	no	—
236	C₄×M₁₆	C₂×D₇₉	1	1	yes	characteristic
237	C₂×#97	—	79	2	no	—
238	C₂×C₄×C₈	—	79	1	no	—
239	#341	—	79	1	no	—
240	#341	—	79	1	no	—
241	#341	—	79	2	no	—
242	#341	C₂×D₇₉	1	2	yes	—
243	C₂²×Q₈	—	79	1	no	—
244	C₂×M₁₆	—	79	1	no	—
245	C₂×M₁₆	—	79	1	no	—
246	C₂×M₁₆	—	79	2	no	—
247	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
248	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
249	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
250	C₂²×C₈	—	79	1	no	—
251	C₂²×C₈	—	79	1	no	—
252	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
253	C₄×Q₈	—	79	2	no	—
254	C₄×Q₈	—	79	1	no	—
255	C₄×Q₈	—	79	1	no	—
256	C₄×Q₈	—	79	1	no	—
257	C₄×Q₈	—	79	1	no	—
258	C₄×Q₈	—	79	2	no	—
259	C₂×C₄⋊C₄	—	79	2	no	—
260	C₂×C₄⋊C₄	—	79	1	no	—
261	C₂×C₄²	—	79	2	no	—
262	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
263	#108	—	4	2	no	—
264	#108	—	316	2	no	—
265	#108	—	316	2	no	—
266	#108	—	79	4	no	—
267	#108	—	158	4	no	—
268	#108	—	158	2	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	79	4	no	—
272	C₄⋊C₈	—	79	4	no	—
273	C₄⋊C₈	—	158	2	no	—
274	C₄⋊C₈	—	158	2	no	—
275	C₄⋊C₈	—	158	2	no	—
276	C₄⋊C₈	—	158	2	no	—
277	C₄⋊C₈	—	158	1	no	—
278	C₄⋊C₈	—	158	1	no	—
279	C₄⋊C₈	C₄×D₇₉	1	2	yes	—
280	C₄⋊C₈	C₄×D₇₉	1	2	yes	—
281	#97	—	2	1	no	—
282	#97	—	79	4	no	—
283	#97	—	79	4	no	—
284	#97	—	158	2	no	—
285	#97	—	158	2	no	—
286	#97	—	158	1	no	—
287	C₄×C₈	—	2	1	no	—
288	C₄×C₈	—	79	2	no	—
289	C₄×C₈	—	79	2	no	—
290	C₄×C₈	—	158	2	no	—
291	C₄×C₈	—	158	2	no	—
292	C₄×C₈	—	158	1	no	—
293	C₂×Q₈	—	316	2	no	—
294	C₂×Q₈	—	79	2	no	—
295	C₂×Q₈	—	79	1	no	—
296	C₂×Q₈	—	79	1	no	—
297	C₂²×C₄	—	79	2	no	—
298	C₂²×C₄	—	79	2	no	—
299	C₂²×C₄	Q₈×D₇₉	1	1	yes	characteristic
300	C₂²×C₄	Q₈×D₇₉	1	1	yes	characteristic
301	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
302	M₁₆	—	2	1	no	—
303	M₁₆	—	2	1	no	—
304	M₁₆	—	2	2	no	—
305	M₁₆	—	2	1	no	—
306	M₁₆	—	2	2	no	—
307	M₁₆	—	79	2	no	—
308	M₁₆	—	158	2	no	—
309	M₁₆	—	158	1	no	—
310	M₁₆	—	158	2	no	—
311	M₁₆	—	158	1	no	—
312	M₁₆	—	158	1	no	—
313	M₁₆	Q₈×D₇₉	1	2	yes	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	2	1	no	—
318	C₂×C₈	—	2	2	no	—
319	C₂×C₈	—	79	2	no	—
320	C₂×C₈	—	79	2	no	—
321	C₂×C₈	—	79	2	no	—
322	C₂×C₈	—	79	2	no	—
323	C₂×C₈	—	158	2	no	—
324	C₂×C₈	—	158	1	no	—
325	C₂×C₈	—	158	1	no	—
326	C₂×C₈	—	158	1	no	—
327	C₂×C₈	—	158	1	no	—
328	C₂×C₈	C₂×C₄×D₇₉	1	4	yes	—
329	C₄⋊C₄	—	79	2	no	—
330	C₄⋊C₄	—	79	2	no	—
331	C₄⋊C₄	—	79	2	no	—
332	C₄⋊C₄	—	79	2	no	—
333	C₄⋊C₄	—	79	2	no	—
334	C₄⋊C₄	—	79	1	no	—
335	C₄⋊C₄	—	79	1	no	—
336	C₄²	—	79	2	no	—
337	C₄²	—	79	2	no	—
338	C₄²	—	79	2	no	—
339	C₄²	—	79	2	no	—
340	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
341	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
342	C₄²	D₄×D₇₉	1	1	yes	characteristic
343	C₄²	D₄×D₇₉	1	1	yes	characteristic
344	C₂³	C₂×Q₈×D₇₉	1	1	yes	characteristic
345	Q₈	—	316	2	no	—
346	Q₈	—	158	2	no	—
347	Q₈	—	158	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	316	2	no	—
351	C₂×C₄	—	316	2	no	—
352	C₂×C₄	—	79	2	no	—
353	C₂×C₄	—	79	2	no	—
354	C₂×C₄	—	79	2	no	—
355	C₂×C₄	—	79	2	no	—
356	C₂×C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
357	C₂×C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
358	C₂×C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
359	C₂×C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
360	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
361	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
362	C₂×C₄	C₂×Q₈×D₇₉	1	1	yes	characteristic
363	C₂×C₄	#41×D₇₉	1	1	yes	characteristic
364	C₂×C₄	#14579206	1	1	yes	characteristic
365	C₂×C₄	#14579208	1	1	yes	characteristic
366	C₈	—	2	2	no	—
367	C₈	—	2	4	no	—
368	C₈	—	4	1	no	—
369	C₈	—	4	2	no	—
370	C₈	—	316	2	no	—
371	C₈	—	316	1	no	—
372	C₈	—	79	4	no	—
373	C₈	—	158	2	no	—
374	C₈	—	158	2	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	C₂×C₄⋊C₄×D₇₉	1	1	yes	characteristic
378	C₂²	#19099290	1	1	yes	characteristic
379	C₂²	#19099293	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	158	2	no	—
384	C₄	—	158	2	no	—
385	C₄	—	158	2	no	—
386	C₄	—	158	2	no	—
387	C₄	#19098610	1	2	yes	—
388	C₄	C₄×Q₈×D₇₉	1	1	yes	characteristic
389	C₄	#19099042	1	1	yes	characteristic
390	C₄	#19099226	1	1	yes	characteristic
391	C₄	#19099231	1	1	yes	characteristic
392	C₂	—	2	1	no	—
393	C₂	—	2	1	no	—
394	C₂	#23766314	1	1	yes	characteristic
395	C₂	C₂×#19098610	1	1	yes	characteristic
396	C₂	#23772010	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₉
commutator	C₂×C₄×C₇₉	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₇₉
Fitting	C₇₉×#1950	C₂
socle	C₂²×C₇₉	C₂²×C₄⋊C₄
prime radical	C₂³×C₇₉	C₂²×Q₈
cosocle	C₂²×C₄×C₇₉	C₂⁴
hypercenter	#1950	D₇₉
hypocenter	C₇₉	#22733
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1950

Complements

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

N	H ≅ G/N	type
63. #14579096	Q₈	semidirect
210. C₇₉	#22733	semidirect

Maximal subgroups

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

subgroup	index
M₁₆×Dic₁₅₈	2
#23772351	2
C₂×#19098690	2
#23764176	2
#23764174	2
#23764172	2
#23763573	2
#23763571	2
#23763305	2
C₄×#14579096	2
C₇₉×#1950	2
#22733	79