Subgroups — C₇₉×#3326 #23760948

Order 10112.

392 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#553×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#548×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#488×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#483×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#482×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#479×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#469×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#468×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#463×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#449×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#448×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×SD₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#436×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#419×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#417×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₇₉	C₂²	1	1	yes	characteristic
17	C₂²×Q₈×C₇₉	C₂²	1	1	yes	characteristic
18	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
19	C₂×SD₁₆×C₇₉	C₂²	1	1	yes	characteristic
20	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
21	C₂×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
22	C₂×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
23	#126×C₇₉	—	2	1	no	—
24	#125×C₇₉	C₂²	1	1	yes	characteristic
25	#124×C₇₉	—	2	1	no	—
26	#124×C₇₉	C₂²	1	1	yes	characteristic
27	#123×C₇₉	—	2	1	no	—
28	C₂²⋊Q₈×C₇₉	—	2	1	no	—
29	C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
30	#121×C₇₉	—	2	1	no	—
31	#121×C₇₉	—	2	1	no	—
32	#121×C₇₉	C₂²	1	1	yes	characteristic
33	#121×C₇₉	C₂²	1	1	yes	characteristic
34	#121×C₇₉	C₂²	1	1	yes	characteristic
35	C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₇₉	—	2	1	no	—
37	C₄×D₄×C₇₉	—	2	1	no	—
38	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
39	C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
40	#117×C₇₉	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
42	#107×C₇₉	C₂²	1	1	yes	characteristic
43	#106×C₇₉	C₂²	1	1	yes	characteristic
44	#106×C₇₉	C₂²	1	1	yes	characteristic
45	C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
46	#103×C₇₉	C₂²	1	1	yes	characteristic
47	#103×C₇₉	C₂²	1	1	yes	characteristic
48	#103×C₇₉	C₂²	1	1	yes	characteristic
49	#103×C₇₉	C₂²	1	1	yes	characteristic
50	#103×C₇₉	C₂²	1	1	yes	characteristic
51	#103×C₇₉	C₂²	1	1	yes	characteristic
52	#102×C₇₉	C₂²	1	1	yes	characteristic
53	#102×C₇₉	C₂²	1	1	yes	characteristic
54	#102×C₇₉	C₂²	1	1	yes	characteristic
55	#102×C₇₉	C₂²	1	1	yes	characteristic
56	C₂²⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
57	C₂²⋊C₈×C₇₉	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
59	#41×C₇₉	—	2	2	no	—
60	#41×C₇₉	—	4	1	no	—
61	C₂×Q₈×C₇₉	—	2	1	no	—
62	C₂×Q₈×C₇₉	—	2	2	no	—
63	C₂×Q₈×C₇₉	—	4	1	no	—
64	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
65	C₂×Q₈×C₇₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₇₉	—	2	1	no	—
67	C₂×D₄×C₇₉	—	2	1	no	—
68	C₂×D₄×C₇₉	—	2	1	no	—
69	C₂×D₄×C₇₉	—	2	1	no	—
70	C₂×D₄×C₇₉	D₄	1	1	yes	characteristic
71	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
72	C₂×D₄×C₇₉	C₂³	1	1	yes	characteristic
73	C₂²×C₄×C₇₉	—	2	1	no	—
74	C₂²×C₄×C₇₉	—	2	1	no	—
75	C₂²×C₄×C₇₉	—	2	1	no	—
76	C₂²×C₄×C₇₉	—	2	1	no	—
77	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
79	SD₁₆×C₇₉	—	2	2	no	—
80	SD₁₆×C₇₉	—	4	1	no	—
81	D₈×C₇₉	—	4	1	no	—
82	M₁₆×C₇₉	—	4	1	no	—
83	M₁₆×C₇₉	—	4	1	no	—
84	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
87	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
88	C₄⋊C₄×C₇₉	—	2	1	no	—
89	C₄⋊C₄×C₇₉	—	2	1	no	—
90	C₄⋊C₄×C₇₉	—	2	1	no	—
91	C₄⋊C₄×C₇₉	—	2	1	no	—
92	C₄⋊C₄×C₇₉	—	2	1	no	—
93	C₄⋊C₄×C₇₉	D₄	1	1	yes	characteristic
94	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
95	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
96	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
97	C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
98	C₂²⋊C₄×C₇₉	—	2	1	no	—
99	C₂²⋊C₄×C₇₉	—	2	1	no	—
100	C₂²⋊C₄×C₇₉	—	2	1	no	—
101	C₂²⋊C₄×C₇₉	—	2	1	no	—
102	C₂²⋊C₄×C₇₉	—	2	1	no	—
103	C₂²⋊C₄×C₇₉	—	2	1	no	—
104	C₂²⋊C₄×C₇₉	—	2	1	no	—
105	C₂²⋊C₄×C₇₉	—	2	1	no	—
106	C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
107	C₂²⋊C₄×C₇₉	D₄	1	1	yes	characteristic
108	C₄²×C₇₉	—	2	1	no	—
109	C₄²×C₇₉	—	2	1	no	—
110	C₄²×C₇₉	C₂³	1	1	yes	characteristic
111	C₂³×C₇₉	—	2	1	no	—
112	C₂³×C₇₉	—	2	1	no	—
113	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
114	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
115	Q₈×C₇₉	—	2	1	no	—
116	Q₈×C₇₉	—	2	1	no	—
117	Q₈×C₇₉	—	2	1	no	—
118	Q₈×C₇₉	—	4	2	no	—
119	Q₈×C₇₉	#41	1	2	yes	—
120	D₄×C₇₉	—	2	1	no	—
121	D₄×C₇₉	—	2	1	no	—
122	D₄×C₇₉	—	2	1	no	—
123	D₄×C₇₉	—	2	1	no	—
124	D₄×C₇₉	—	4	1	no	—
125	D₄×C₇₉	—	4	2	no	—
126	D₄×C₇₉	—	4	2	no	—
127	D₄×C₇₉	—	4	2	no	—
128	D₄×C₇₉	—	8	1	no	—
129	C₂×C₄×C₇₉	—	2	1	no	—
130	C₂×C₄×C₇₉	—	2	1	no	—
131	C₂×C₄×C₇₉	—	2	1	no	—
132	C₂×C₄×C₇₉	—	2	1	no	—
133	C₂×C₄×C₇₉	—	2	1	no	—
134	C₂×C₄×C₇₉	—	2	1	no	—
135	C₂×C₄×C₇₉	—	2	1	no	—
136	C₂×C₄×C₇₉	—	2	1	no	—
137	C₂×C₄×C₇₉	—	2	1	no	—
138	C₂×C₄×C₇₉	—	2	1	no	—
139	C₂×C₄×C₇₉	—	4	2	no	—
140	C₂×C₄×C₇₉	—	4	2	no	—
141	C₂×C₄×C₇₉	—	8	1	no	—
142	C₂×C₄×C₇₉	—	8	1	no	—
143	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
144	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
145	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
146	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
147	C₂×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
148	C₈×C₇₉	—	2	1	no	—
149	C₈×C₇₉	—	2	1	no	—
150	C₈×C₇₉	—	2	1	no	—
151	C₈×C₇₉	—	2	1	no	—
152	C₂²×C₇₉	—	2	1	no	—
153	C₂²×C₇₉	—	2	1	no	—
154	C₂²×C₇₉	—	2	1	no	—
155	C₂²×C₇₉	—	2	1	no	—
156	C₂²×C₇₉	—	2	1	no	—
157	C₂²×C₇₉	—	2	1	no	—
158	C₂²×C₇₉	—	4	1	no	—
159	C₂²×C₇₉	—	4	1	no	—
160	C₂²×C₇₉	—	4	1	no	—
161	C₂²×C₇₉	—	4	1	no	—
162	C₂²×C₇₉	—	4	1	no	—
163	C₂²×C₇₉	—	4	1	no	—
164	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
165	C₄×C₇₉	—	2	1	no	—
166	C₄×C₇₉	—	2	1	no	—
167	C₄×C₇₉	—	2	2	no	—
168	C₄×C₇₉	—	2	1	no	—
169	C₄×C₇₉	—	2	1	no	—
170	C₄×C₇₉	—	4	1	no	—
171	C₄×C₇₉	—	4	1	no	—
172	C₄×C₇₉	—	4	1	no	—
173	C₄×C₇₉	—	4	1	no	—
174	C₄×C₇₉	—	4	1	no	—
175	C₄×C₇₉	C₂×#41	1	1	yes	characteristic
176	C₄×C₇₉	H(5,𝔽₂)	1	1	yes	characteristic
177	C₂×C₇₉	—	4	1	no	—
178	C₂×C₇₉	—	4	1	no	—
179	C₂×C₇₉	—	8	1	no	—
180	C₂×C₇₉	—	8	1	no	—
181	C₂×C₇₉	#546	1	1	yes	characteristic
182	C₂×C₇₉	#575	1	1	yes	characteristic
183	C₂×C₇₉	#577	1	1	yes	characteristic
184	#3326	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
185	C₇₉	#3326	1	1	yes	characteristic, direct product factor, Sylow
186	#553	C₂×C₇₉	1	1	yes	characteristic, complemented
187	#548	C₂×C₇₉	1	1	yes	characteristic, complemented
188	#488	C₂×C₇₉	1	1	yes	characteristic, complemented
189	#483	C₂×C₇₉	1	1	yes	characteristic, complemented
190	#482	C₂×C₇₉	1	1	yes	characteristic, complemented
191	#479	C₂×C₇₉	1	1	yes	characteristic, complemented
192	#469	C₂×C₇₉	1	1	yes	characteristic, complemented
193	#468	C₂×C₇₉	1	1	yes	characteristic, complemented
194	#463	C₂×C₇₉	1	1	yes	characteristic, complemented
195	#449	C₂×C₇₉	1	1	yes	characteristic, complemented
196	#448	C₂×C₇₉	1	1	yes	characteristic, complemented
197	C₄×SD₁₆	C₂×C₇₉	1	1	yes	characteristic, complemented
198	#436	C₂×C₇₉	1	1	yes	characteristic, complemented
199	#419	C₂×C₇₉	1	1	yes	characteristic, complemented
200	#417	C₂×C₇₉	1	1	yes	characteristic, complemented
201	C₂×#41	C₂²×C₇₉	1	1	yes	characteristic
202	C₂²×Q₈	C₂²×C₇₉	1	1	yes	characteristic
203	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
204	C₂×SD₁₆	C₂²×C₇₉	1	1	yes	characteristic
205	C₂×D₈	C₂²×C₇₉	1	1	yes	characteristic
206	C₂×M₁₆	C₂²×C₇₉	1	1	yes	characteristic
207	C₂×M₁₆	C₂²×C₇₉	1	1	yes	characteristic
208	#126	—	2	1	no	—
209	#125	C₂²×C₇₉	1	1	yes	characteristic
210	#124	—	2	1	no	—
211	#124	C₂²×C₇₉	1	1	yes	characteristic
212	#123	—	2	1	no	—
213	C₂²⋊Q₈	—	2	1	no	—
214	C₂²⋊Q₈	C₂²×C₇₉	1	1	yes	characteristic
215	#121	—	2	1	no	—
216	#121	—	2	1	no	—
217	#121	C₂²×C₇₉	1	1	yes	characteristic
218	#121	C₂²×C₇₉	1	1	yes	characteristic
219	#121	C₂²×C₇₉	1	1	yes	characteristic
220	C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
221	C₄×D₄	—	2	1	no	—
222	C₄×D₄	—	2	1	no	—
223	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
224	C₄×D₄	C₂²×C₇₉	1	1	yes	characteristic
225	#117	C₂²×C₇₉	1	1	yes	characteristic
226	C₂×C₄⋊C₄	C₂²×C₇₉	1	1	yes	characteristic
227	#107	C₂²×C₇₉	1	1	yes	characteristic
228	#106	C₂²×C₇₉	1	1	yes	characteristic
229	#106	C₂²×C₇₉	1	1	yes	characteristic
230	C₄⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
231	#103	C₂²×C₇₉	1	1	yes	characteristic
232	#103	C₂²×C₇₉	1	1	yes	characteristic
233	#103	C₂²×C₇₉	1	1	yes	characteristic
234	#103	C₂²×C₇₉	1	1	yes	characteristic
235	#103	C₂²×C₇₉	1	1	yes	characteristic
236	#103	C₂²×C₇₉	1	1	yes	characteristic
237	#102	C₂²×C₇₉	1	1	yes	characteristic
238	#102	C₂²×C₇₉	1	1	yes	characteristic
239	#102	C₂²×C₇₉	1	1	yes	characteristic
240	#102	C₂²×C₇₉	1	1	yes	characteristic
241	C₂²⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
242	C₂²⋊C₈	C₂²×C₇₉	1	1	yes	characteristic
243	C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
244	#41	—	2	2	no	—
245	#41	—	4	1	no	—
246	C₂×Q₈	—	2	1	no	—
247	C₂×Q₈	—	2	2	no	—
248	C₂×Q₈	—	4	1	no	—
249	C₂×Q₈	C₂³×C₇₉	1	1	yes	characteristic
250	C₂×Q₈	C₂³×C₇₉	1	1	yes	characteristic
251	C₂×D₄	—	2	1	no	—
252	C₂×D₄	—	2	1	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	—	2	1	no	—
255	C₂×D₄	D₄×C₇₉	1	1	yes	characteristic
256	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
257	C₂×D₄	C₂³×C₇₉	1	1	yes	characteristic
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	1	no	—
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	C₂³×C₇₉	1	1	yes	characteristic
263	C₂²×C₄	C₂³×C₇₉	1	1	yes	characteristic
264	SD₁₆	—	2	2	no	—
265	SD₁₆	—	4	1	no	—
266	D₈	—	4	1	no	—
267	M₁₆	—	4	1	no	—
268	M₁₆	—	4	1	no	—
269	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
270	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
271	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
272	C₂×C₈	C₂³×C₇₉	1	1	yes	characteristic
273	C₄⋊C₄	—	2	1	no	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	—	2	1	no	—
276	C₄⋊C₄	—	2	1	no	—
277	C₄⋊C₄	—	2	1	no	—
278	C₄⋊C₄	D₄×C₇₉	1	1	yes	characteristic
279	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
280	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
281	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
282	C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
283	C₂²⋊C₄	—	2	1	no	—
284	C₂²⋊C₄	—	2	1	no	—
285	C₂²⋊C₄	—	2	1	no	—
286	C₂²⋊C₄	—	2	1	no	—
287	C₂²⋊C₄	—	2	1	no	—
288	C₂²⋊C₄	—	2	1	no	—
289	C₂²⋊C₄	—	2	1	no	—
290	C₂²⋊C₄	—	2	1	no	—
291	C₂²⋊C₄	D₄×C₇₉	1	1	yes	characteristic
292	C₂²⋊C₄	D₄×C₇₉	1	1	yes	characteristic
293	C₄²	—	2	1	no	—
294	C₄²	—	2	1	no	—
295	C₄²	C₂³×C₇₉	1	1	yes	characteristic
296	C₂³	—	2	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	C₂×D₄×C₇₉	1	1	yes	characteristic
299	C₂³	C₂×D₄×C₇₉	1	1	yes	characteristic
300	Q₈	—	2	1	no	—
301	Q₈	—	2	1	no	—
302	Q₈	—	2	1	no	—
303	Q₈	—	4	2	no	—
304	Q₈	#41×C₇₉	1	2	yes	—
305	D₄	—	2	1	no	—
306	D₄	—	2	1	no	—
307	D₄	—	2	1	no	—
308	D₄	—	2	1	no	—
309	D₄	—	4	1	no	—
310	D₄	—	4	2	no	—
311	D₄	—	4	2	no	—
312	D₄	—	4	2	no	—
313	D₄	—	8	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	8	1	no	—
327	C₂×C₄	—	8	1	no	—
328	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
329	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
330	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
331	C₂×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
332	C₂×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	2	1	no	—
337	C₂²	—	2	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	4	1	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	4	1	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	1	no	—
348	C₂²	—	4	1	no	—
349	C₂²	C₂²×D₄×C₇₉	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	2	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	4	1	no	—
356	C₄	—	4	1	no	—
357	C₄	—	4	1	no	—
358	C₄	—	4	1	no	—
359	C₄	—	4	1	no	—
360	C₄	C₂×#41×C₇₉	1	1	yes	characteristic
361	C₄	H(5,𝔽₂)×C₇₉	1	1	yes	characteristic
362	C₂	—	4	1	no	—
363	C₂	—	4	1	no	—
364	C₂	—	8	1	no	—
365	C₂	—	8	1	no	—
366	C₂	#546×C₇₉	1	1	yes	characteristic
367	C₂	#575×C₇₉	1	1	yes	characteristic
368	C₂	#577×C₇₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₇₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ C₄×D₄×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. #553×C₇₉	C₂	semidirect
2. #548×C₇₉	C₂	semidirect
3. #488×C₇₉	C₂	semidirect
4. #483×C₇₉	C₂	semidirect
5. #482×C₇₉	C₂	semidirect
6. #479×C₇₉	C₂	semidirect
7. #469×C₇₉	C₂	semidirect
8. #468×C₇₉	C₂	semidirect
9. #463×C₇₉	C₂	semidirect
10. #449×C₇₉	C₂	semidirect
11. #448×C₇₉	C₂	semidirect
12. C₄×SD₁₆×C₇₉	C₂	semidirect
13. #436×C₇₉	C₂	semidirect
14. #419×C₇₉	C₂	semidirect
15. #417×C₇₉	C₂	semidirect
184. #3326	C₇₉	direct (N × H)
185. C₇₉	#3326	direct (N × H)
186. #553	C₂×C₇₉	semidirect
187. #548	C₂×C₇₉	semidirect
188. #488	C₂×C₇₉	semidirect
189. #483	C₂×C₇₉	semidirect
190. #482	C₂×C₇₉	semidirect
191. #479	C₂×C₇₉	semidirect
192. #469	C₂×C₇₉	semidirect
193. #468	C₂×C₇₉	semidirect
194. #463	C₂×C₇₉	semidirect
195. #449	C₂×C₇₉	semidirect
196. #448	C₂×C₇₉	semidirect
197. C₄×SD₁₆	C₂×C₇₉	semidirect
198. #436	C₂×C₇₉	semidirect
199. #419	C₂×C₇₉	semidirect
200. #417	C₂×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
#553×C₇₉	2
#548×C₇₉	2
#488×C₇₉	2
#483×C₇₉	2
#482×C₇₉	2
#479×C₇₉	2
#469×C₇₉	2
#468×C₇₉	2
#463×C₇₉	2
#449×C₇₉	2
#448×C₇₉	2
C₄×SD₁₆×C₇₉	2
#436×C₇₉	2
#419×C₇₉	2
#417×C₇₉	2
#3326	79

Subgroups — C79×#3326 #23760948

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#3326 #23760948