Subgroups — C₇₉×#61499 #34173188

Order 20224.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₉×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₉×#3522	C₂	1	1	yes	maximal, characteristic
3	C₇₉×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₉×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₉×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₉×#3363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₉×#3356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₉×#3343	C₂	1	2	yes	maximal, complemented
9	C₇₉×#3304	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₉×#3300	C₂	1	2	yes	maximal, complemented
11	C₇₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₉×#3298	C₂	1	2	yes	maximal, complemented
13	C₇₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₉×#3270	C₂	1	2	yes	maximal, complemented
15	C₇₉×#3178	C₂	1	2	yes	maximal, complemented
16	C₇₉×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#3121	C₂	1	2	yes	maximal, complemented
18	C₇₉×#3120	C₂	1	2	yes	maximal, complemented
19	C₇₉×#3113	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₉×#3112	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₉×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₉×#2947	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×Q₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#137×C₇₉	C₂²	1	2	yes	—
25	C₂²×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
26	#559×C₇₉	—	2	1	no	—
27	#559×C₇₉	C₂²	1	1	yes	characteristic
28	Q₈²×C₇₉	C₂²	1	1	yes	characteristic
29	#557×C₇₉	—	2	1	no	—
30	#557×C₇₉	C₂²	1	1	yes	characteristic
31	#557×C₇₉	C₂²	1	1	yes	characteristic
32	#556×C₇₉	—	2	1	no	—
33	#556×C₇₉	C₂²	1	1	yes	characteristic
34	#554×C₇₉	—	2	1	no	—
35	#554×C₇₉	C₂²	1	1	yes	characteristic
36	#552×C₇₉	—	2	2	no	—
37	#552×C₇₉	C₂²	1	2	yes	—
38	#550×C₇₉	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₇₉	C₂²	1	2	yes	—
41	#548×C₇₉	C₂²	1	2	yes	—
42	#547×C₇₉	—	2	2	no	—
43	#547×C₇₉	C₂²	1	2	yes	—
44	#542×C₇₉	—	2	2	no	—
45	#542×C₇₉	C₂²	1	2	yes	—
46	#541×C₇₉	—	2	2	no	—
47	#541×C₇₉	C₂²	1	2	yes	—
48	#533×C₇₉	—	2	1	no	—
49	#533×C₇₉	C₂²	1	1	yes	characteristic
50	#532×C₇₉	—	2	1	no	—
51	#532×C₇₉	C₂²	1	1	yes	characteristic
52	#529×C₇₉	—	2	1	no	—
53	#529×C₇₉	—	2	1	no	—
54	#529×C₇₉	C₂²	1	1	yes	characteristic
55	#520×C₇₉	C₂²	1	2	yes	—
56	#519×C₇₉	C₂²	1	2	yes	—
57	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic
59	#501×C₇₉	C₂²	1	2	yes	—
60	#498×C₇₉	C₂²	1	1	yes	characteristic
61	#497×C₇₉	C₂²	1	2	yes	—
62	#492×C₇₉	C₂²	1	1	yes	characteristic
63	#488×C₇₉	C₂²	1	2	yes	—
64	#487×C₇₉	C₂²	1	2	yes	—
65	#487×C₇₉	C₂²	1	1	yes	characteristic
66	#486×C₇₉	C₂²	1	1	yes	characteristic
67	#485×C₇₉	C₂²	1	2	yes	—
68	#484×C₇₉	C₂²	1	2	yes	—
69	#483×C₇₉	C₂²	1	2	yes	—
70	#483×C₇₉	C₂²	1	2	yes	—
71	#482×C₇₉	C₂²	1	2	yes	—
72	#480×C₇₉	C₂²	1	2	yes	—
73	#479×C₇₉	C₂²	1	2	yes	—
74	#478×C₇₉	C₂²	1	2	yes	—
75	#477×C₇₉	C₂²	1	1	yes	characteristic
76	#477×C₇₉	C₂²	1	2	yes	—
77	#477×C₇₉	C₂²	1	1	yes	characteristic
78	#475×C₇₉	C₂²	1	2	yes	—
79	#475×C₇₉	C₂²	1	1	yes	characteristic
80	#475×C₇₉	C₂²	1	1	yes	characteristic
81	#470×C₇₉	C₂²	1	2	yes	—
82	#468×C₇₉	C₂²	1	2	yes	—
83	#467×C₇₉	C₂²	1	2	yes	—
84	#465×C₇₉	C₂²	1	2	yes	—
85	#465×C₇₉	C₂²	1	2	yes	—
86	#465×C₇₉	C₂²	1	2	yes	—
87	#464×C₇₉	C₂²	1	2	yes	—
88	#464×C₇₉	C₂²	1	2	yes	—
89	#462×C₇₉	C₂²	1	1	yes	characteristic
90	#462×C₇₉	C₂²	1	1	yes	characteristic
91	#462×C₇₉	C₂²	1	2	yes	—
92	#461×C₇₉	C₂²	1	2	yes	—
93	#460×C₇₉	C₂²	1	1	yes	characteristic
94	#460×C₇₉	C₂²	1	1	yes	characteristic
95	#452×C₇₉	C₂²	1	2	yes	—
96	#452×C₇₉	C₂²	1	2	yes	—
97	#451×C₇₉	C₂²	1	2	yes	—
98	#451×C₇₉	C₂²	1	2	yes	—
99	#448×C₇₉	C₂²	1	2	yes	—
100	#448×C₇₉	C₂²	1	2	yes	—
101	#446×C₇₉	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₇₉	C₂²	1	1	yes	characteristic
103	#441×C₇₉	C₂²	1	2	yes	—
104	#441×C₇₉	C₂²	1	2	yes	—
105	#441×C₇₉	C₂²	1	2	yes	—
106	#440×C₇₉	C₂²	1	2	yes	—
107	#440×C₇₉	C₂²	1	2	yes	—
108	#440×C₇₉	C₂²	1	2	yes	—
109	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
110	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
111	C₄×Q₁₆×C₇₉	C₂²	1	2	yes	—
112	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
113	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
114	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
115	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
116	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
117	C₄×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₇₉	C₂²	1	2	yes	—
119	C₄×SD₁₆×C₇₉	C₂²	1	2	yes	—
120	C₄×SD₁₆×C₇₉	C₂²	1	2	yes	—
121	#436×C₇₉	C₂²	1	1	yes	characteristic
122	#435×C₇₉	C₂²	1	2	yes	—
123	C₈×D₄×C₇₉	C₂²	1	2	yes	—
124	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic
125	#433×C₇₉	C₂²	1	2	yes	—
126	#432×C₇₉	C₂²	1	1	yes	characteristic
127	#428×C₇₉	C₂²	1	2	yes	—
128	C₂×#107×C₇₉	C₂²	1	1	yes	characteristic
129	#416×C₇₉	C₂²	1	2	yes	—
130	C₂×#103×C₇₉	C₂²	1	1	yes	characteristic
131	C₂×#103×C₇₉	C₂²	1	2	yes	—
132	C₂×#103×C₇₉	C₂²	1	1	yes	characteristic
133	#405×C₇₉	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₇₉	—	2	2	no	—
136	C₂×#41×C₇₉	—	2	1	no	—
137	C₂×#41×C₇₉	C₂³	1	2	yes	—
138	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
140	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
141	#137×C₇₉	—	2	8	no	—
142	C₂×Q₁₆×C₇₉	—	2	4	no	—
143	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
145	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₇₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₇₉	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₇₉	C₂³	1	2	yes	—
153	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
154	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
157	C₄⋊Q₈×C₇₉	—	2	1	no	—
158	C₄⋊Q₈×C₇₉	—	2	1	no	—
159	C₄⋊Q₈×C₇₉	—	2	1	no	—
160	C₄⋊Q₈×C₇₉	—	2	2	no	—
161	C₄⋊Q₈×C₇₉	—	2	2	no	—
162	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
163	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
164	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
165	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
166	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
167	#127×C₇₉	—	2	1	no	—
168	#127×C₇₉	C₂³	1	1	yes	characteristic
169	#126×C₇₉	—	2	2	no	—
170	#126×C₇₉	—	2	2	no	—
171	#126×C₇₉	—	2	2	no	—
172	#126×C₇₉	—	2	2	no	—
173	#126×C₇₉	—	2	2	no	—
174	#126×C₇₉	D₄	1	2	yes	—
175	#125×C₇₉	—	2	1	no	—
176	#125×C₇₉	—	2	1	no	—
177	#125×C₇₉	—	2	2	no	—
178	#125×C₇₉	—	2	2	no	—
179	#125×C₇₉	—	2	2	no	—
180	#125×C₇₉	—	2	2	no	—
181	#125×C₇₉	—	2	2	no	—
182	#125×C₇₉	—	2	1	no	—
183	#125×C₇₉	D₄	1	1	yes	characteristic
184	#125×C₇₉	C₂³	1	2	yes	—
185	#124×C₇₉	—	2	1	no	—
186	#124×C₇₉	—	2	1	no	—
187	#124×C₇₉	—	2	2	no	—
188	#124×C₇₉	—	2	2	no	—
189	#124×C₇₉	—	2	1	no	—
190	#124×C₇₉	D₄	1	1	yes	characteristic
191	#124×C₇₉	C₂³	1	2	yes	—
192	#123×C₇₉	—	2	2	no	—
193	#123×C₇₉	—	2	2	no	—
194	#123×C₇₉	—	2	2	no	—
195	#123×C₇₉	—	2	2	no	—
196	#123×C₇₉	—	2	2	no	—
197	#123×C₇₉	D₄	1	2	yes	—
198	C₂²⋊Q₈×C₇₉	—	2	1	no	—
199	C₂²⋊Q₈×C₇₉	—	2	2	no	—
200	C₂²⋊Q₈×C₇₉	—	2	2	no	—
201	C₂²⋊Q₈×C₇₉	—	2	2	no	—
202	C₂²⋊Q₈×C₇₉	—	2	2	no	—
203	C₂²⋊Q₈×C₇₉	—	2	2	no	—
204	C₂²⋊Q₈×C₇₉	—	2	2	no	—
205	C₂²⋊Q₈×C₇₉	—	2	2	no	—
206	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
207	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
208	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
209	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
210	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
211	#121×C₇₉	—	2	2	no	—
212	#121×C₇₉	—	2	1	no	—
213	#121×C₇₉	—	2	2	no	—
214	#121×C₇₉	D₄	1	1	yes	characteristic
215	#121×C₇₉	C₂³	1	2	yes	—
216	#121×C₇₉	C₂³	1	2	yes	—
217	C₄×Q₈×C₇₉	—	2	1	no	—
218	C₄×Q₈×C₇₉	—	2	1	no	—
219	C₄×Q₈×C₇₉	—	2	2	no	—
220	C₄×Q₈×C₇₉	—	2	2	no	—
221	C₄×Q₈×C₇₉	—	2	1	no	—
222	C₄×Q₈×C₇₉	—	2	1	no	—
223	C₄×Q₈×C₇₉	—	2	1	no	—
224	C₄×Q₈×C₇₉	—	2	1	no	—
225	C₄×Q₈×C₇₉	—	2	1	no	—
226	C₄×Q₈×C₇₉	—	2	1	no	—
227	C₄×Q₈×C₇₉	—	2	1	no	—
228	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
229	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
230	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
240	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₇₉	—	2	2	no	—
242	C₄×D₄×C₇₉	—	2	1	no	—
243	C₄×D₄×C₇₉	—	2	1	no	—
244	C₄×D₄×C₇₉	—	2	1	no	—
245	C₄×D₄×C₇₉	—	2	1	no	—
246	C₄×D₄×C₇₉	—	2	2	no	—
247	C₄×D₄×C₇₉	—	2	2	no	—
248	C₄×D₄×C₇₉	—	2	2	no	—
249	C₄×D₄×C₇₉	—	2	1	no	—
250	C₄×D₄×C₇₉	C₂³	1	2	yes	—
251	C₄×D₄×C₇₉	C₂³	1	2	yes	—
252	C₄×D₄×C₇₉	C₂³	1	2	yes	—
253	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
254	#117×C₇₉	—	2	1	no	—
255	#117×C₇₉	—	2	2	no	—
256	#117×C₇₉	—	2	2	no	—
257	#117×C₇₉	—	2	2	no	—
258	#117×C₇₉	—	2	2	no	—
259	#117×C₇₉	C₂³	1	2	yes	—
260	#117×C₇₉	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
262	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
263	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
264	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
267	C₂×C₄²×C₇₉	—	2	1	no	—
268	C₂×C₄²×C₇₉	—	2	1	no	—
269	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
270	#107×C₇₉	C₂³	1	1	yes	characteristic
271	#107×C₇₉	C₂³	1	1	yes	characteristic
272	#107×C₇₉	C₂³	1	1	yes	characteristic
273	#107×C₇₉	C₂³	1	1	yes	characteristic
274	#107×C₇₉	C₂³	1	2	yes	—
275	#107×C₇₉	C₂³	1	2	yes	—
276	#106×C₇₉	C₂³	1	2	yes	—
277	#106×C₇₉	C₂³	1	2	yes	—
278	#106×C₇₉	C₂³	1	2	yes	—
279	#106×C₇₉	C₂³	1	2	yes	—
280	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
282	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
283	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
284	#103×C₇₉	C₂³	1	1	yes	characteristic
285	#103×C₇₉	C₂³	1	2	yes	—
286	#103×C₇₉	C₂³	1	2	yes	—
287	#103×C₇₉	C₂³	1	1	yes	characteristic
288	#103×C₇₉	C₂³	1	1	yes	characteristic
289	#103×C₇₉	C₂³	1	1	yes	characteristic
290	#103×C₇₉	C₂³	1	1	yes	characteristic
291	#103×C₇₉	C₂³	1	1	yes	characteristic
292	#103×C₇₉	C₂³	1	1	yes	characteristic
293	#103×C₇₉	C₂³	1	1	yes	characteristic
294	#103×C₇₉	C₂³	1	2	yes	—
295	#103×C₇₉	C₂³	1	2	yes	—
296	#103×C₇₉	C₂³	1	2	yes	—
297	#103×C₇₉	C₂³	1	2	yes	—
298	#103×C₇₉	C₂³	1	2	yes	—
299	#103×C₇₉	C₂³	1	2	yes	—
300	#102×C₇₉	C₂³	1	2	yes	—
301	#102×C₇₉	C₂³	1	2	yes	—
302	#102×C₇₉	C₂³	1	2	yes	—
303	#102×C₇₉	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
307	#97×C₇₉	C₂³	1	2	yes	—
308	#97×C₇₉	C₂³	1	2	yes	—
309	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₉	C₂³	1	2	yes	—
311	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
314	#41×C₇₉	—	2	4	no	—
315	#41×C₇₉	—	4	2	no	—
316	#41×C₇₉	—	8	2	no	—
317	#41×C₇₉	—	8	4	no	—
318	C₂×Q₈×C₇₉	—	2	1	no	—
319	C₂×Q₈×C₇₉	—	2	1	no	—
320	C₂×Q₈×C₇₉	—	2	2	no	—
321	C₂×Q₈×C₇₉	—	2	1	no	—
322	C₂×Q₈×C₇₉	—	2	2	no	—
323	C₂×Q₈×C₇₉	—	2	1	no	—
324	C₂×Q₈×C₇₉	—	2	2	no	—
325	C₂×Q₈×C₇₉	—	2	2	no	—
326	C₂×Q₈×C₇₉	—	2	4	no	—
327	C₂×Q₈×C₇₉	—	4	1	no	—
328	C₂×Q₈×C₇₉	—	4	1	no	—
329	C₂×Q₈×C₇₉	—	4	2	no	—
330	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₇₉	—	2	2	no	—
337	C₂×D₄×C₇₉	—	2	2	no	—
338	C₂×D₄×C₇₉	—	2	2	no	—
339	C₂×D₄×C₇₉	—	2	1	no	—
340	C₂×D₄×C₇₉	—	2	1	no	—
341	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₇₉	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₇₉	—	2	1	no	—
345	C₂²×C₄×C₇₉	—	2	1	no	—
346	C₂²×C₄×C₇₉	—	2	1	no	—
347	C₂²×C₄×C₇₉	—	2	1	no	—
348	C₂²×C₄×C₇₉	—	2	2	no	—
349	C₂²×C₄×C₇₉	—	2	2	no	—
350	C₂²×C₄×C₇₉	—	2	2	no	—
351	C₂²×C₄×C₇₉	—	2	2	no	—
352	C₂²×C₄×C₇₉	—	2	2	no	—
353	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
357	Q₁₆×C₇₉	—	2	2	no	—
358	Q₁₆×C₇₉	—	2	2	no	—
359	Q₁₆×C₇₉	—	2	2	no	—
360	Q₁₆×C₇₉	—	2	4	no	—
361	Q₁₆×C₇₉	—	4	2	no	—
362	Q₁₆×C₇₉	#41	1	4	yes	complemented
363	SD₁₆×C₇₉	—	2	4	no	—
364	SD₁₆×C₇₉	—	2	4	no	—
365	SD₁₆×C₇₉	—	4	2	no	—
366	SD₁₆×C₇₉	—	4	2	no	—
367	M₁₆×C₇₉	—	2	4	no	—
368	C₂×C₈×C₇₉	—	2	2	no	—
369	C₂×C₈×C₇₉	—	4	1	no	—
370	C₂×C₈×C₇₉	—	4	2	no	—
371	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
375	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
376	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
377	C₄⋊C₄×C₇₉	—	2	1	no	—
378	C₄⋊C₄×C₇₉	—	2	2	no	—
379	C₄⋊C₄×C₇₉	—	2	1	no	—
380	C₄⋊C₄×C₇₉	—	2	2	no	—
381	C₄⋊C₄×C₇₉	—	2	1	no	—
382	C₄⋊C₄×C₇₉	—	2	1	no	—
383	C₄⋊C₄×C₇₉	—	2	1	no	—
384	C₄⋊C₄×C₇₉	—	2	1	no	—
385	C₄⋊C₄×C₇₉	—	2	1	no	—
386	C₄⋊C₄×C₇₉	—	2	1	no	—
387	C₄⋊C₄×C₇₉	—	2	1	no	—
388	C₄⋊C₄×C₇₉	—	2	1	no	—
389	C₄⋊C₄×C₇₉	—	2	2	no	—
390	C₄⋊C₄×C₇₉	—	2	2	no	—
391	C₄⋊C₄×C₇₉	—	2	2	no	—
392	C₄⋊C₄×C₇₉	—	2	1	no	—
393	C₄⋊C₄×C₇₉	—	2	2	no	—
394	C₄⋊C₄×C₇₉	—	2	1	no	—
395	C₄⋊C₄×C₇₉	—	2	2	no	—
396	C₄⋊C₄×C₇₉	—	2	1	no	—
397	C₄⋊C₄×C₇₉	—	2	1	no	—
398	C₄⋊C₄×C₇₉	—	2	2	no	—
399	C₄⋊C₄×C₇₉	—	2	2	no	—
400	C₄⋊C₄×C₇₉	—	2	2	no	—
401	C₄⋊C₄×C₇₉	—	2	2	no	—
402	C₄⋊C₄×C₇₉	—	2	2	no	—
403	C₄⋊C₄×C₇₉	—	2	2	no	—
404	C₄⋊C₄×C₇₉	—	2	2	no	—
405	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
407	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
408	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
409	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
410	C₄⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
411	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
412	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
415	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
416	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
417	C₂²⋊C₄×C₇₉	—	2	2	no	—
418	C₂²⋊C₄×C₇₉	—	2	2	no	—
419	C₂²⋊C₄×C₇₉	—	2	2	no	—
420	C₂²⋊C₄×C₇₉	—	2	2	no	—
421	C₂²⋊C₄×C₇₉	—	2	2	no	—
422	C₂²⋊C₄×C₇₉	—	2	2	no	—
423	C₂²⋊C₄×C₇₉	—	2	2	no	—
424	C₂²⋊C₄×C₇₉	—	2	2	no	—
425	C₂²⋊C₄×C₇₉	—	2	2	no	—
426	C₂²⋊C₄×C₇₉	—	2	2	no	—
427	C₂²⋊C₄×C₇₉	—	2	2	no	—
428	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
433	C₄²×C₇₉	—	2	1	no	—
434	C₄²×C₇₉	—	2	1	no	—
435	C₄²×C₇₉	—	2	1	no	—
436	C₄²×C₇₉	—	2	1	no	—
437	C₄²×C₇₉	—	2	1	no	—
438	C₄²×C₇₉	—	2	1	no	—
439	C₄²×C₇₉	—	2	1	no	—
440	C₄²×C₇₉	—	2	1	no	—
441	C₄²×C₇₉	—	2	2	no	—
442	C₄²×C₇₉	—	2	2	no	—
443	C₄²×C₇₉	—	2	2	no	—
444	C₄²×C₇₉	—	2	2	no	—
445	C₄²×C₇₉	—	2	2	no	—
446	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₄²×C₇₉	C₂⁴	1	2	yes	—
451	C₂³×C₇₉	—	2	2	no	—
452	C₂³×C₇₉	C₂²×D₄	1	2	yes	—
453	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
454	Q₈×C₇₉	—	2	2	no	—
455	Q₈×C₇₉	—	2	1	no	—
456	Q₈×C₇₉	—	2	1	no	—
457	Q₈×C₇₉	—	2	2	no	—
458	Q₈×C₇₉	—	2	1	no	—
459	Q₈×C₇₉	—	2	1	no	—
460	Q₈×C₇₉	—	2	1	no	—
461	Q₈×C₇₉	—	2	2	no	—
462	Q₈×C₇₉	—	2	1	no	—
463	Q₈×C₇₉	—	4	4	no	—
464	Q₈×C₇₉	—	4	2	no	—
465	Q₈×C₇₉	—	4	2	no	—
466	Q₈×C₇₉	—	4	2	no	—
467	Q₈×C₇₉	—	8	1	no	—
468	Q₈×C₇₉	—	8	2	no	—
469	Q₈×C₇₉	C₂×#41	1	2	yes	—
470	Q₈×C₇₉	C₂×#41	1	2	yes	—
471	D₄×C₇₉	—	2	4	no	—
472	D₄×C₇₉	—	2	2	no	—
473	D₄×C₇₉	—	2	2	no	—
474	D₄×C₇₉	—	2	2	no	—
475	D₄×C₇₉	—	4	4	no	—
476	D₄×C₇₉	—	4	4	no	—
477	D₄×C₇₉	—	4	2	no	—
478	D₄×C₇₉	—	8	1	no	—
479	D₄×C₇₉	—	8	2	no	—
480	C₂×C₄×C₇₉	—	2	2	no	—
481	C₂×C₄×C₇₉	—	2	1	no	—
482	C₂×C₄×C₇₉	—	2	1	no	—
483	C₂×C₄×C₇₉	—	2	2	no	—
484	C₂×C₄×C₇₉	—	2	1	no	—
485	C₂×C₄×C₇₉	—	2	2	no	—
486	C₂×C₄×C₇₉	—	2	1	no	—
487	C₂×C₄×C₇₉	—	2	2	no	—
488	C₂×C₄×C₇₉	—	2	1	no	—
489	C₂×C₄×C₇₉	—	2	2	no	—
490	C₂×C₄×C₇₉	—	2	1	no	—
491	C₂×C₄×C₇₉	—	2	1	no	—
492	C₂×C₄×C₇₉	—	2	1	no	—
493	C₂×C₄×C₇₉	—	2	2	no	—
494	C₂×C₄×C₇₉	—	2	1	no	—
495	C₂×C₄×C₇₉	—	2	1	no	—
496	C₂×C₄×C₇₉	—	2	2	no	—
497	C₂×C₄×C₇₉	—	4	4	no	—
498	C₂×C₄×C₇₉	—	4	2	no	—
499	C₂×C₄×C₇₉	—	4	2	no	—
500	C₂×C₄×C₇₉	—	4	4	no	—
501	C₂×C₄×C₇₉	—	4	2	no	—
502	C₂×C₄×C₇₉	—	4	2	no	—
503	C₂×C₄×C₇₉	—	8	2	no	—
504	C₂×C₄×C₇₉	—	8	2	no	—
505	C₂×C₄×C₇₉	—	8	2	no	—
506	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
515	C₈×C₇₉	—	2	1	no	—
516	C₈×C₇₉	—	2	2	no	—
517	C₈×C₇₉	—	2	1	no	—
518	C₈×C₇₉	—	2	1	no	—
519	C₈×C₇₉	—	2	2	no	—
520	C₈×C₇₉	C₂×#41	1	2	yes	—
521	C₂²×C₇₉	—	2	1	no	—
522	C₂²×C₇₉	—	2	1	no	—
523	C₂²×C₇₉	—	2	2	no	—
524	C₂²×C₇₉	—	2	2	no	—
525	C₂²×C₇₉	—	2	2	no	—
526	C₂²×C₇₉	—	4	2	no	—
527	C₂²×C₇₉	—	4	2	no	—
528	C₂²×C₇₉	—	4	2	no	—
529	C₂²×C₇₉	#577	1	2	yes	—
530	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
531	C₄×C₇₉	—	2	2	no	—
532	C₄×C₇₉	—	2	1	no	—
533	C₄×C₇₉	—	2	2	no	—
534	C₄×C₇₉	—	2	2	no	—
535	C₄×C₇₉	—	2	1	no	—
536	C₄×C₇₉	—	2	1	no	—
537	C₄×C₇₉	—	2	2	no	—
538	C₄×C₇₉	—	2	1	no	—
539	C₄×C₇₉	—	2	2	no	—
540	C₄×C₇₉	—	4	1	no	—
541	C₄×C₇₉	—	4	2	no	—
542	C₄×C₇₉	—	4	1	no	—
543	C₄×C₇₉	—	4	1	no	—
544	C₄×C₇₉	—	4	1	no	—
545	C₄×C₇₉	—	4	1	no	—
546	C₄×C₇₉	—	4	1	no	—
547	C₄×C₇₉	—	4	2	no	—
548	C₄×C₇₉	—	4	2	no	—
549	C₄×C₇₉	#578	1	2	yes	—
550	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
551	C₄×C₇₉	#585	1	1	yes	characteristic
552	#61499	C₇₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
553	C₂×C₇₉	—	2	2	no	—
554	C₂×C₇₉	—	4	2	no	—
555	C₂×C₇₉	—	8	2	no	—
556	C₂×C₇₉	D₄×#41	1	1	yes	characteristic
557	C₂×C₇₉	C₂×#577	1	1	yes	characteristic
558	C₂×C₇₉	C₂×#578	1	1	yes	characteristic
559	#3523	C₂×C₇₉	1	1	yes	characteristic, complemented
560	#3522	C₂×C₇₉	1	1	yes	characteristic
561	#3400	C₂×C₇₉	1	1	yes	characteristic, complemented
562	#3387	C₂×C₇₉	1	1	yes	characteristic, complemented
563	#3365	C₂×C₇₉	1	1	yes	characteristic, complemented
564	#3363	C₂×C₇₉	1	1	yes	characteristic, complemented
565	#3356	C₂×C₇₉	1	1	yes	characteristic, complemented
566	#3343	C₂×C₇₉	1	2	yes	complemented
567	#3304	C₂×C₇₉	1	1	yes	characteristic, complemented
568	#3300	C₂×C₇₉	1	2	yes	complemented
569	#3299	C₂×C₇₉	1	1	yes	characteristic, complemented
570	#3298	C₂×C₇₉	1	2	yes	complemented
571	#3278	C₂×C₇₉	1	1	yes	characteristic, complemented
572	#3270	C₂×C₇₉	1	2	yes	complemented
573	#3178	C₂×C₇₉	1	2	yes	complemented
574	#3167	C₂×C₇₉	1	1	yes	characteristic, complemented
575	#3121	C₂×C₇₉	1	2	yes	complemented
576	#3120	C₂×C₇₉	1	2	yes	complemented
577	#3113	C₂×C₇₉	1	1	yes	characteristic, complemented
578	#3112	C₂×C₇₉	1	1	yes	characteristic, complemented
579	#2966	C₂×C₇₉	1	1	yes	characteristic, complemented
580	#2947	C₂×C₇₉	1	2	yes	complemented
581	C₂×C₄×Q₁₆	C₂×C₇₉	1	1	yes	characteristic, complemented
582	C₇₉	#61499	1	1	yes	characteristic, direct product factor, Sylow
583	C₂×#137	C₂²×C₇₉	1	2	yes	—
584	C₂²×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
585	#559	—	2	1	no	—
586	#559	C₂²×C₇₉	1	1	yes	characteristic
587	Q₈²	C₂²×C₇₉	1	1	yes	characteristic
588	#557	—	2	1	no	—
589	#557	C₂²×C₇₉	1	1	yes	characteristic
590	#557	C₂²×C₇₉	1	1	yes	characteristic
591	#556	—	2	1	no	—
592	#556	C₂²×C₇₉	1	1	yes	characteristic
593	#554	—	2	1	no	—
594	#554	C₂²×C₇₉	1	1	yes	characteristic
595	#552	—	2	2	no	—
596	#552	C₂²×C₇₉	1	2	yes	—
597	#550	C₂²×C₇₉	1	1	yes	characteristic
598	D₄×Q₈	C₂²×C₇₉	1	2	yes	—
599	D₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
600	#548	C₂²×C₇₉	1	2	yes	—
601	#547	—	2	2	no	—
602	#547	C₂²×C₇₉	1	2	yes	—
603	#542	—	2	2	no	—
604	#542	C₂²×C₇₉	1	2	yes	—
605	#541	—	2	2	no	—
606	#541	C₂²×C₇₉	1	2	yes	—
607	#533	—	2	1	no	—
608	#533	C₂²×C₇₉	1	1	yes	characteristic
609	#532	—	2	1	no	—
610	#532	C₂²×C₇₉	1	1	yes	characteristic
611	#529	—	2	1	no	—
612	#529	—	2	1	no	—
613	#529	C₂²×C₇₉	1	1	yes	characteristic
614	#520	C₂²×C₇₉	1	2	yes	—
615	#519	C₂²×C₇₉	1	2	yes	—
616	C₂×C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
617	C₂×C₄×Q₈	C₂²×C₇₉	1	1	yes	characteristic
618	#501	C₂²×C₇₉	1	2	yes	—
619	#498	C₂²×C₇₉	1	1	yes	characteristic
620	#497	C₂²×C₇₉	1	2	yes	—
621	#492	C₂²×C₇₉	1	1	yes	characteristic
622	#488	C₂²×C₇₉	1	2	yes	—
623	#487	C₂²×C₇₉	1	1	yes	characteristic
624	#487	C₂²×C₇₉	1	2	yes	—
625	#486	C₂²×C₇₉	1	1	yes	characteristic
626	#485	C₂²×C₇₉	1	2	yes	—
627	#484	C₂²×C₇₉	1	2	yes	—
628	#483	C₂²×C₇₉	1	2	yes	—
629	#483	C₂²×C₇₉	1	2	yes	—
630	#482	C₂²×C₇₉	1	2	yes	—
631	#480	C₂²×C₇₉	1	2	yes	—
632	#479	C₂²×C₇₉	1	2	yes	—
633	#478	C₂²×C₇₉	1	2	yes	—
634	#477	C₂²×C₇₉	1	2	yes	—
635	#477	C₂²×C₇₉	1	1	yes	characteristic
636	#477	C₂²×C₇₉	1	1	yes	characteristic
637	#475	C₂²×C₇₉	1	1	yes	characteristic
638	#475	C₂²×C₇₉	1	1	yes	characteristic
639	#475	C₂²×C₇₉	1	2	yes	—
640	#470	C₂²×C₇₉	1	2	yes	—
641	#468	C₂²×C₇₉	1	2	yes	—
642	#467	C₂²×C₇₉	1	2	yes	—
643	#465	C₂²×C₇₉	1	2	yes	—
644	#465	C₂²×C₇₉	1	2	yes	—
645	#465	C₂²×C₇₉	1	2	yes	—
646	#464	C₂²×C₇₉	1	2	yes	—
647	#464	C₂²×C₇₉	1	2	yes	—
648	#462	C₂²×C₇₉	1	1	yes	characteristic
649	#462	C₂²×C₇₉	1	2	yes	—
650	#462	C₂²×C₇₉	1	1	yes	characteristic
651	#461	C₂²×C₇₉	1	2	yes	—
652	#460	C₂²×C₇₉	1	1	yes	characteristic
653	#460	C₂²×C₇₉	1	1	yes	characteristic
654	#452	C₂²×C₇₉	1	2	yes	—
655	#452	C₂²×C₇₉	1	2	yes	—
656	#451	C₂²×C₇₉	1	2	yes	—
657	#451	C₂²×C₇₉	1	2	yes	—
658	#448	C₂²×C₇₉	1	2	yes	—
659	#448	C₂²×C₇₉	1	2	yes	—
660	#446	C₂²×C₇₉	1	1	yes	characteristic
661	C₈×Q₈	C₂²×C₇₉	1	1	yes	characteristic
662	#441	C₂²×C₇₉	1	2	yes	—
663	#441	C₂²×C₇₉	1	2	yes	—
664	#441	C₂²×C₇₉	1	2	yes	—
665	#440	C₂²×C₇₉	1	2	yes	—
666	#440	C₂²×C₇₉	1	2	yes	—
667	#440	C₂²×C₇₉	1	2	yes	—
668	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
669	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
670	C₄×Q₁₆	C₂²×C₇₉	1	2	yes	—
671	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
672	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
673	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
674	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
675	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
676	C₄×Q₁₆	C₂²×C₇₉	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₇₉	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₇₉	1	2	yes	—
679	C₄×SD₁₆	C₂²×C₇₉	1	2	yes	—
680	#436	C₂²×C₇₉	1	1	yes	characteristic
681	#435	C₂²×C₇₉	1	2	yes	—
682	C₈×D₄	C₂²×C₇₉	1	2	yes	—
683	C₈×D₄	C₂²×C₇₉	1	1	yes	characteristic
684	#433	C₂²×C₇₉	1	2	yes	—
685	#432	C₂²×C₇₉	1	1	yes	characteristic
686	#428	C₂²×C₇₉	1	2	yes	—
687	C₂×#107	C₂²×C₇₉	1	1	yes	characteristic
688	#416	C₂²×C₇₉	1	2	yes	—
689	C₂×#103	C₂²×C₇₉	1	1	yes	characteristic
690	C₂×#103	C₂²×C₇₉	1	1	yes	characteristic
691	C₂×#103	C₂²×C₇₉	1	2	yes	—
692	#405	C₂²×C₇₉	1	2	yes	—
693	C₂×C₄×C₈	C₂²×C₇₉	1	1	yes	characteristic
694	C₂×#41	—	2	2	no	—
695	C₂×#41	—	2	1	no	—
696	C₂×#41	C₂³×C₇₉	1	2	yes	—
697	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
698	C₂²×Q₈	C₂³×C₇₉	1	1	yes	characteristic
699	C₂²×Q₈	C₂³×C₇₉	1	2	yes	—
700	#137	—	2	8	no	—
701	C₂×Q₁₆	—	2	4	no	—
702	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
703	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
704	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
705	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
706	C₂×Q₁₆	C₂³×C₇₉	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₇₉	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₇₉	1	2	yes	—
712	C₂×M₁₆	C₂³×C₇₉	1	2	yes	—
713	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
714	C₂²×C₈	C₂³×C₇₉	1	1	yes	characteristic
715	C₂²×C₈	C₂³×C₇₉	1	2	yes	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	2	no	—
720	C₄⋊Q₈	—	2	2	no	—
721	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₇₉	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₇₉	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₇₉	1	2	yes	—
726	#127	—	2	1	no	—
727	#127	C₂³×C₇₉	1	1	yes	characteristic
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	D₄×C₇₉	1	2	yes	—
734	#125	—	2	1	no	—
735	#125	—	2	1	no	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	2	no	—
739	#125	—	2	2	no	—
740	#125	—	2	2	no	—
741	#125	—	2	1	no	—
742	#125	D₄×C₇₉	1	1	yes	characteristic
743	#125	C₂³×C₇₉	1	2	yes	—
744	#124	—	2	1	no	—
745	#124	—	2	1	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	1	no	—
749	#124	D₄×C₇₉	1	1	yes	characteristic
750	#124	C₂³×C₇₉	1	2	yes	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	D₄×C₇₉	1	2	yes	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	D₄×C₇₉	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
767	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
768	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₇₉	1	2	yes	—
770	#121	—	2	2	no	—
771	#121	—	2	1	no	—
772	#121	—	2	2	no	—
773	#121	D₄×C₇₉	1	1	yes	characteristic
774	#121	C₂³×C₇₉	1	2	yes	—
775	#121	C₂³×C₇₉	1	2	yes	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	—	2	2	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	2	1	no	—
784	C₄×Q₈	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
796	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
797	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
798	C₄×Q₈	C₂³×C₇₉	1	2	yes	—
799	C₄×Q₈	C₂³×C₇₉	1	1	yes	characteristic
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	C₂³×C₇₉	1	2	yes	—
810	C₄×D₄	C₂³×C₇₉	1	2	yes	—
811	C₄×D₄	C₂³×C₇₉	1	2	yes	—
812	C₄×D₄	C₂³×C₇₉	1	1	yes	characteristic
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	—	2	2	no	—
817	#117	—	2	2	no	—
818	#117	C₂³×C₇₉	1	2	yes	—
819	#117	C₂³×C₇₉	1	2	yes	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	—	2	2	no	—
823	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₇₉	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₇₉	1	2	yes	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	C₂³×C₇₉	1	1	yes	characteristic
829	#107	C₂³×C₇₉	1	1	yes	characteristic
830	#107	C₂³×C₇₉	1	1	yes	characteristic
831	#107	C₂³×C₇₉	1	1	yes	characteristic
832	#107	C₂³×C₇₉	1	1	yes	characteristic
833	#107	C₂³×C₇₉	1	2	yes	—
834	#107	C₂³×C₇₉	1	2	yes	—
835	#106	C₂³×C₇₉	1	2	yes	—
836	#106	C₂³×C₇₉	1	2	yes	—
837	#106	C₂³×C₇₉	1	2	yes	—
838	#106	C₂³×C₇₉	1	2	yes	—
839	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
840	C₄⋊C₈	C₂³×C₇₉	1	1	yes	characteristic
841	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
842	C₄⋊C₈	C₂³×C₇₉	1	2	yes	—
843	#103	C₂³×C₇₉	1	1	yes	characteristic
844	#103	C₂³×C₇₉	1	1	yes	characteristic
845	#103	C₂³×C₇₉	1	2	yes	—
846	#103	C₂³×C₇₉	1	1	yes	characteristic
847	#103	C₂³×C₇₉	1	1	yes	characteristic
848	#103	C₂³×C₇₉	1	1	yes	characteristic
849	#103	C₂³×C₇₉	1	1	yes	characteristic
850	#103	C₂³×C₇₉	1	1	yes	characteristic
851	#103	C₂³×C₇₉	1	1	yes	characteristic
852	#103	C₂³×C₇₉	1	2	yes	—
853	#103	C₂³×C₇₉	1	2	yes	—
854	#103	C₂³×C₇₉	1	2	yes	—
855	#103	C₂³×C₇₉	1	2	yes	—
856	#103	C₂³×C₇₉	1	2	yes	—
857	#103	C₂³×C₇₉	1	2	yes	—
858	#103	C₂³×C₇₉	1	2	yes	—
859	#102	C₂³×C₇₉	1	2	yes	—
860	#102	C₂³×C₇₉	1	2	yes	—
861	#102	C₂³×C₇₉	1	2	yes	—
862	#102	C₂³×C₇₉	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
865	C₂²⋊C₈	C₂³×C₇₉	1	2	yes	—
866	#97	C₂³×C₇₉	1	2	yes	—
867	#97	C₂³×C₇₉	1	2	yes	—
868	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
870	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₇₉	1	1	yes	characteristic
872	C₄×C₈	C₂³×C₇₉	1	2	yes	—
873	#41	—	2	4	no	—
874	#41	—	4	2	no	—
875	#41	—	8	2	no	—
876	#41	—	8	4	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	4	no	—
886	C₂×Q₈	—	4	1	no	—
887	C₂×Q₈	—	4	1	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	C₂×D₄×C₇₉	1	1	yes	characteristic
890	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
891	C₂×Q₈	C₂⁴×C₇₉	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₇₉	1	1	yes	characteristic
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	C₂×D₄×C₇₉	1	1	yes	characteristic
901	C₂×D₄	C₂×D₄×C₇₉	1	2	yes	—
902	C₂×D₄	C₂⁴×C₇₉	1	2	yes	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
913	C₂²×C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
914	C₂²×C₄	C₂⁴×C₇₉	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₇₉	1	2	yes	—
916	Q₁₆	—	2	2	no	—
917	Q₁₆	—	2	2	no	—
918	Q₁₆	—	2	4	no	—
919	Q₁₆	—	2	2	no	—
920	Q₁₆	—	4	2	no	—
921	Q₁₆	#41×C₇₉	1	4	yes	complemented
922	SD₁₆	—	2	4	no	—
923	SD₁₆	—	2	4	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	M₁₆	—	2	4	no	—
927	C₂×C₈	—	2	2	no	—
928	C₂×C₈	—	4	1	no	—
929	C₂×C₈	—	4	2	no	—
930	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
932	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
933	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
934	C₂×C₈	C₂⁴×C₇₉	1	2	yes	—
935	C₂×C₈	C₂⁴×C₇₉	1	1	yes	characteristic
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
965	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
966	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₇₉	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
969	C₄⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₇₉	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₇₉	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₇₉	1	1	yes	characteristic
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₇₉	1	2	yes	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
1006	C₄²	C₂×D₄×C₇₉	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1008	C₄²	C₂⁴×C₇₉	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₇₉	1	2	yes	—
1010	C₂³	—	2	2	no	—
1011	C₂³	C₂²×D₄×C₇₉	1	2	yes	—
1012	C₂³	C₂²×D₄×C₇₉	1	1	yes	characteristic
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	2	2	no	—
1021	Q₈	—	2	1	no	—
1022	Q₈	—	4	4	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	4	2	no	—
1026	Q₈	—	8	1	no	—
1027	Q₈	—	8	2	no	—
1028	Q₈	C₂×#41×C₇₉	1	2	yes	—
1029	Q₈	C₂×#41×C₇₉	1	2	yes	—
1030	D₄	—	2	4	no	—
1031	D₄	—	2	2	no	—
1032	D₄	—	2	2	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	4	4	no	—
1035	D₄	—	4	4	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1068	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₇₉	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₇₉	1	1	yes	characteristic
1073	C₂×C₄	C₂⁵×C₇₉	1	1	yes	characteristic
1074	C₈	—	2	1	no	—
1075	C₈	—	2	2	no	—
1076	C₈	—	2	1	no	—
1077	C₈	—	2	1	no	—
1078	C₈	—	2	2	no	—
1079	C₈	C₂×#41×C₇₉	1	2	yes	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	#577×C₇₉	1	2	yes	—
1089	C₂²	C₂³×D₄×C₇₉	1	1	yes	characteristic
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	#578×C₇₉	1	2	yes	—
1109	C₄	C₂²×#41×C₇₉	1	1	yes	characteristic
1110	C₄	#585×C₇₉	1	1	yes	characteristic
1111	C₂	—	2	2	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	8	2	no	—
1114	C₂	D₄×#41×C₇₉	1	1	yes	characteristic
1115	C₂	C₂×#577×C₇₉	1	1	yes	characteristic
1116	C₂	C₂×#578×C₇₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₉
prime radical	C₇₉×#3522	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₉ ◁ #529×C₇₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₉×#3523	C₂	semidirect
3. C₇₉×#3400	C₂	semidirect
4. C₇₉×#3387	C₂	semidirect
5. C₇₉×#3365	C₂	semidirect
6. C₇₉×#3363	C₂	semidirect
7. C₇₉×#3356	C₂	semidirect
8. C₇₉×#3343	C₂	semidirect
9. C₇₉×#3304	C₂	semidirect
10. C₇₉×#3300	C₂	semidirect
11. C₇₉×#3299	C₂	semidirect
12. C₇₉×#3298	C₂	semidirect
13. C₇₉×#3278	C₂	semidirect
14. C₇₉×#3270	C₂	semidirect
15. C₇₉×#3178	C₂	semidirect
16. C₇₉×#3167	C₂	semidirect
17. C₇₉×#3121	C₂	semidirect
18. C₇₉×#3120	C₂	semidirect
19. C₇₉×#3113	C₂	semidirect
20. C₇₉×#3112	C₂	semidirect
21. C₇₉×#2966	C₂	semidirect
22. C₇₉×#2947	C₂	semidirect
23. C₂×C₄×Q₁₆×C₇₉	C₂	semidirect
362. Q₁₆×C₇₉	#41	semidirect
552. #61499	C₇₉	direct (N × H)
559. #3523	C₂×C₇₉	semidirect
561. #3400	C₂×C₇₉	semidirect
562. #3387	C₂×C₇₉	semidirect
563. #3365	C₂×C₇₉	semidirect
564. #3363	C₂×C₇₉	semidirect
565. #3356	C₂×C₇₉	semidirect
566. #3343	C₂×C₇₉	semidirect
567. #3304	C₂×C₇₉	semidirect
568. #3300	C₂×C₇₉	semidirect
569. #3299	C₂×C₇₉	semidirect
570. #3298	C₂×C₇₉	semidirect
571. #3278	C₂×C₇₉	semidirect
572. #3270	C₂×C₇₉	semidirect
573. #3178	C₂×C₇₉	semidirect
574. #3167	C₂×C₇₉	semidirect
575. #3121	C₂×C₇₉	semidirect
576. #3120	C₂×C₇₉	semidirect
577. #3113	C₂×C₇₉	semidirect
578. #3112	C₂×C₇₉	semidirect
579. #2966	C₂×C₇₉	semidirect
580. #2947	C₂×C₇₉	semidirect
581. C₂×C₄×Q₁₆	C₂×C₇₉	semidirect
582. C₇₉	#61499	direct (N × H)
921. Q₁₆	#41×C₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₇₉×#3523	2
C₇₉×#3522	2
C₇₉×#3400	2
C₇₉×#3387	2
C₇₉×#3365	2
C₇₉×#3363	2
C₇₉×#3356	2
C₇₉×#3343	2
C₇₉×#3304	2
C₇₉×#3300	2
C₇₉×#3299	2
C₇₉×#3298	2
C₇₉×#3278	2
C₇₉×#3270	2
C₇₉×#3178	2
C₇₉×#3167	2
C₇₉×#3121	2
C₇₉×#3120	2
C₇₉×#3113	2
C₇₉×#3112	2
C₇₉×#2966	2
C₇₉×#2947	2
C₂×C₄×Q₁₆×C₇₉	2
#61499	79

Subgroups — C79×#61499 #34173188

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₉×#61499 #34173188