Subgroups — #35153396

Order 20224.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#529×D₇₉	C₂	1	1	yes	maximal, characteristic
2	#23772568	C₂	1	2	yes	maximal, complemented
3	#23772565	C₂	1	2	yes	maximal, complemented
4	#23772562	C₂	1	1	yes	maximal, characteristic, complemented
5	#23772560	C₂	1	1	yes	maximal, characteristic, complemented
6	#23772556	C₂	1	1	yes	maximal, characteristic, complemented
7	#23772552	C₂	1	1	yes	maximal, characteristic, complemented
8	#23772550	C₂	1	1	yes	maximal, characteristic, complemented
9	#23772548	C₂	1	1	yes	maximal, characteristic, complemented
10	#23772544	C₂	1	1	yes	maximal, characteristic, complemented
11	#23772540	C₂	1	2	yes	maximal, complemented
12	#23772533	C₂	1	2	yes	maximal, complemented
13	#23772352	C₂	1	1	yes	maximal, characteristic, complemented
14	Q₈×#11929607	C₂	1	1	yes	maximal, characteristic, complemented
15	#23772136	C₂	1	1	yes	maximal, characteristic, complemented
16	#23772133	C₂	1	2	yes	maximal, complemented
17	D₄×#11929607	C₂	1	2	yes	maximal, complemented
18	D₄×#11929607	C₂	1	1	yes	maximal, characteristic, complemented
19	#23772034	C₂	1	2	yes	maximal, complemented
20	#23772028	C₂	1	1	yes	maximal, characteristic, complemented
21	#23771961	C₂	1	2	yes	maximal, complemented
22	C₂×#19098585	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11929607	C₂²	1	2	yes	—
25	C₂²×#11929607	C₂²	1	2	yes	—
26	C₂×M₁₆×D₇₉	C₂²	1	2	yes	—
27	#19099100	C₂²	1	1	yes	characteristic
28	#19099099	C₄	1	1	yes	characteristic
29	#19099098	C₄	1	1	yes	characteristic
30	#19099097	C₂²	1	1	yes	characteristic
31	#19099096	C₄	1	2	yes	—
32	#19099095	C₂²	1	1	yes	characteristic
33	#19099094	C₄	1	1	yes	characteristic
34	#19099093	C₂²	1	2	yes	—
35	#19099092	C₄	1	1	yes	characteristic
36	#19099091	C₂²	1	2	yes	—
37	#19099090	C₄	1	2	yes	—
38	#126×D₇₉	C₄	1	2	yes	—
39	#125×D₇₉	C₄	1	1	yes	characteristic
40	#124×D₇₉	C₄	1	1	yes	characteristic
41	#123×D₇₉	C₄	1	2	yes	—
42	C₂²⋊Q₈×D₇₉	C₄	1	1	yes	characteristic
43	#121×D₇₉	C₄	1	1	yes	characteristic
44	C₄×Q₈×D₇₉	C₂²	1	1	yes	characteristic
45	C₄×D₄×D₇₉	C₂²	1	2	yes	—
46	C₄×D₄×D₇₉	C₂²	1	1	yes	characteristic
47	#117×D₇₉	C₂²	1	2	yes	—
48	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
49	#19098694	C₂²	1	1	yes	characteristic, complemented
50	#19098693	C₂²	1	2	yes	complemented
51	#19098693	C₂²	1	1	yes	characteristic, complemented
52	#19098692	C₂²	1	2	yes	complemented
53	#19098691	C₂²	1	2	yes	complemented
54	#19098690	C₂²	1	2	yes	complemented
55	#19098690	C₂²	1	1	yes	characteristic, complemented
56	Q₈×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
57	C₈×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
58	#19098687	C₂²	1	1	yes	characteristic, complemented
59	#19098642	C₂²	1	2	yes	complemented
60	#19098642	C₂²	1	1	yes	characteristic, complemented
61	#19098641	C₂²	1	1	yes	characteristic, complemented
62	#19098640	C₂²	1	1	yes	characteristic, complemented
63	#19098640	C₂²	1	2	yes	complemented
64	#19098639	C₂²	1	2	yes	complemented
65	#19098638	C₂²	1	2	yes	complemented
66	#19098637	C₂²	1	2	yes	complemented
67	#19098636	C₂²	1	2	yes	complemented
68	#19098635	C₂²	1	2	yes	complemented
69	#19098634	C₂²	1	2	yes	complemented
70	#19098634	C₂²	1	2	yes	complemented
71	#19098634	C₂²	1	2	yes	complemented
72	#19098633	C₂²	1	2	yes	complemented
73	#19098632	C₂²	1	2	yes	complemented
74	#19098631	C₂²	1	2	yes	complemented
75	#19098631	C₂²	1	2	yes	complemented
76	#19098631	C₂²	1	2	yes	complemented
77	C₈×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
78	D₄×C₇₉⋊C₈	C₂²	1	2	yes	complemented
79	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
80	#19098628	C₂²	1	1	yes	characteristic, complemented
81	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
82	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
83	#19098625	C₂²	1	2	yes	complemented
84	#19098624	C₂²	1	2	yes	complemented
85	#19098623	C₂²	1	2	yes	complemented
86	#19098623	C₂²	1	2	yes	complemented
87	#19098622	C₂²	1	2	yes	complemented
88	#19098621	C₂²	1	2	yes	complemented
89	#19098621	C₂²	1	2	yes	complemented
90	#19098619	C₂²	1	1	yes	characteristic, complemented
91	#19098619	C₂²	1	1	yes	characteristic, complemented
92	#19098617	C₂²	1	1	yes	characteristic, complemented
93	#19098617	C₂²	1	1	yes	characteristic, complemented
94	#19098616	C₂²	1	1	yes	characteristic, complemented
95	#19098614	C₂²	1	1	yes	characteristic, complemented
96	#19098614	C₂²	1	1	yes	characteristic, complemented
97	#19098591	C₂²	1	2	yes	complemented
98	#19098590	C₂²	1	2	yes	complemented
99	#19098589	C₂²	1	2	yes	complemented
100	#19098588	C₂²	1	2	yes	complemented
101	#19098588	C₂²	1	2	yes	complemented
102	#19098588	C₂²	1	2	yes	complemented
103	#19098588	C₂²	1	2	yes	complemented
104	#19098585	C₂²	1	2	yes	—
105	#19098585	C₂²	1	1	yes	characteristic
106	#19098585	C₂²	1	1	yes	characteristic
107	#19098585	C₂²	1	1	yes	characteristic
108	#19098585	C₂²	1	2	yes	—
109	#19098585	C₂²	1	2	yes	—
110	#19098585	C₂²	1	1	yes	characteristic
111	#19098585	C₂²	1	1	yes	characteristic, complemented
112	#19098585	C₂²	1	1	yes	characteristic, complemented
113	#19098585	C₂²	1	2	yes	complemented
114	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
115	C₂×Dic₇₉⋊C₈	C₂²	1	2	yes	complemented
116	#19098525	C₂²	1	1	yes	characteristic
117	#19098525	C₂²	1	1	yes	characteristic
118	#19098525	C₂²	1	2	yes	—
119	#19098525	C₂²	1	2	yes	—
120	#19098515	C₂²	1	2	yes	—
121	C₄×#11929607	C₂²	1	1	yes	characteristic
122	C₄×#11929607	C₂²	1	1	yes	characteristic
123	C₄×#11929607	C₂²	1	2	yes	—
124	#529×C₇₉	C₂²	1	1	yes	characteristic
125	#446×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₈×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#436×C₇₉	C₂²	1	1	yes	characteristic, complemented
128	#435×C₇₉	C₂²	1	2	yes	complemented
129	C₈×D₄×C₇₉	C₂²	1	2	yes	complemented
130	C₈×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#433×C₇₉	C₂²	1	2	yes	complemented
132	#431×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#424×C₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄⋊C₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂×Q₈×D₇₉	C₂×C₄	1	1	yes	characteristic
136	C₂×D₄×D₇₉	C₂×C₄	1	2	yes	—
137	C₂×D₄×D₇₉	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
139	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
141	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
142	C₂×#11929608	C₂³	1	2	yes	—
143	C₂×#11929607	—	4	4	no	—
144	C₂×#11929607	—	4	4	no	—
145	C₂×#11929607	C₂³	1	1	yes	characteristic
146	C₂×#11929607	C₂³	1	1	yes	characteristic
147	C₂×#11929607	C₂³	1	1	yes	characteristic
148	C₂×#11929607	C₂³	1	1	yes	characteristic
149	C₂×#11929607	C₂³	1	2	yes	—
150	C₂×#11929607	C₂³	1	2	yes	—
151	C₂×#11929607	C₂³	1	2	yes	—
152	C₂×#11929607	C₂³	1	2	yes	—
153	C₂×#11929607	C₂³	1	2	yes	—
154	C₂×#11929607	C₂³	1	2	yes	—
155	M₁₆×D₇₉	—	4	4	no	—
156	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
157	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
158	C₂×C₈×D₇₉	C₂³	1	2	yes	—
159	C₂×C₈×D₇₉	C₂³	1	2	yes	—
160	#14579156	C₂×C₄	1	2	yes	—
161	#14579156	C₂×C₄	1	2	yes	—
162	#14579156	C₂×C₄	1	2	yes	—
163	#14579155	C₂×C₄	1	2	yes	—
164	#14579154	C₂×C₄	1	2	yes	—
165	#14579154	C₂×C₄	1	2	yes	—
166	#14579154	C₂×C₄	1	2	yes	—
167	#14579153	C₂×C₄	1	1	yes	characteristic
168	#14579152	C₂×C₄	1	1	yes	characteristic
169	#14579152	C₂×C₄	1	1	yes	characteristic
170	#14579151	C₂×C₄	1	2	yes	—
171	#14579151	C₂×C₄	1	2	yes	—
172	#14579150	C₂×C₄	1	1	yes	characteristic
173	#14579149	C₂×C₄	1	1	yes	characteristic
174	#14579148	C₂×C₄	1	1	yes	characteristic
175	#14579147	C₂×C₄	1	2	yes	—
176	#14579147	C₂×C₄	1	2	yes	—
177	#14579146	C₂×C₄	1	2	yes	—
178	#14579146	C₂×C₄	1	2	yes	—
179	#14579145	C₂×C₄	1	2	yes	—
180	#14579144	C₂×C₄	1	2	yes	—
181	#14579143	C₂×C₄	1	2	yes	—
182	#14579143	C₂×C₄	1	2	yes	—
183	#14579142	C₂×C₄	1	2	yes	—
184	#14579141	C₂×C₄	1	1	yes	characteristic
185	#14579140	C₂×C₄	1	1	yes	characteristic
186	#14579139	C₂×C₄	1	2	yes	—
187	#14579138	C₂×C₄	1	2	yes	—
188	#14579137	C₂×C₄	1	1	yes	characteristic
189	#14579136	C₂×C₄	1	1	yes	characteristic
190	#14579135	C₂×C₄	1	1	yes	characteristic
191	#14579134	C₂×C₄	1	2	yes	—
192	#14579133	C₂×C₄	1	2	yes	—
193	#14579132	C₂×C₄	1	1	yes	characteristic
194	Q₈×Dic₇₉	C₂×C₄	1	1	yes	characteristic
195	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
196	C₄×Dic₁₅₈	C₂³	1	2	yes	—
197	#14579126	C₂×C₄	1	2	yes	—
198	#14579126	C₂×C₄	1	1	yes	characteristic
199	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
200	C₄×D₃₁₆	C₂³	1	2	yes	—
201	D₄×Dic₇₉	C₂×C₄	1	2	yes	—
202	D₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
203	#14579123	C₂×C₄	1	2	yes	—
204	#14579123	C₂×C₄	1	1	yes	characteristic
205	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
206	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
207	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
208	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
209	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
210	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
211	#14579120	C₂³	1	2	yes	—
212	#14579119	C₂×C₄	1	2	yes	—
213	#14579119	C₂×C₄	1	2	yes	—
214	#14579118	C₂³	1	2	yes	—
215	#14579118	C₂³	1	2	yes	—
216	#14579117	C₂×C₄	1	2	yes	—
217	#14579117	C₂×C₄	1	2	yes	—
218	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
219	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
220	C₄⋊C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
221	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
222	C₄⋊C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
223	C₄⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
224	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
225	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
226	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
227	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
228	C₂²⋊C₄×D₇₉	C₂×C₄	1	2	yes	—
229	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₇₉	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
232	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
233	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
234	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
235	C₄²×D₇₉	C₂×C₄	1	1	yes	characteristic
236	C₄²×D₇₉	C₂³	1	1	yes	characteristic
237	C₄²×D₇₉	C₂³	1	1	yes	characteristic
238	C₄²×D₇₉	C₂³	1	1	yes	characteristic
239	C₄²×D₇₉	C₂³	1	1	yes	characteristic
240	C₄²×D₇₉	C₂³	1	2	yes	—
241	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
242	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
243	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
244	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
245	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
246	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
247	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
248	Dic₇₉⋊C₈	C₂³	1	1	yes	characteristic
249	Dic₇₉⋊C₈	C₂³	1	2	yes	—
250	Dic₇₉⋊C₈	C₂³	1	2	yes	—
251	Dic₇₉⋊C₈	C₂³	1	2	yes	—
252	Dic₇₉⋊C₈	C₂³	1	2	yes	—
253	Dic₇₉⋊C₈	C₂³	1	2	yes	—
254	Dic₇₉⋊C₈	C₂³	1	2	yes	—
255	Dic₇₉⋊C₈	C₂³	1	2	yes	—
256	Dic₇₉⋊C₈	C₂³	1	2	yes	—
257	Dic₇₉⋊C₈	C₂³	1	1	yes	characteristic
258	Dic₇₉⋊C₈	C₂³	1	1	yes	characteristic
259	Dic₇₉⋊C₈	C₂³	1	1	yes	characteristic
260	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
261	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
262	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
263	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
264	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
265	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₇₉)⋊C₈	C₂³	1	1	yes	characteristic
269	(C₂×D₇₉)⋊C₈	C₂³	1	1	yes	characteristic
270	(C₂×D₇₉)⋊C₈	C₂³	1	1	yes	characteristic
271	(C₂×D₇₉)⋊C₈	C₂³	1	1	yes	characteristic
272	#14579072	C₂³	1	2	yes	—
273	#14579071	C₂³	1	1	yes	characteristic
274	#14579071	C₂³	1	2	yes	—
275	#14579071	C₂³	1	1	yes	characteristic
276	#14579071	C₂³	1	2	yes	—
277	#14579071	C₂³	1	1	yes	characteristic
278	#14579071	C₂³	1	1	yes	characteristic
279	C₄×C₇₉⋊C₈	C₂³	1	2	yes	—
280	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
281	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
282	C₈×Dic₇₉	C₂³	1	2	yes	—
283	C₈×Dic₇₉	C₂³	1	2	yes	—
284	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
285	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
286	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
287	#126×C₇₉	C₂×C₄	1	2	yes	—
288	#125×C₇₉	C₂×C₄	1	1	yes	characteristic
289	#124×C₇₉	C₂×C₄	1	1	yes	characteristic
290	#123×C₇₉	C₂×C₄	1	2	yes	—
291	C₂²⋊Q₈×C₇₉	C₂×C₄	1	1	yes	characteristic
292	#121×C₇₉	C₂×C₄	1	1	yes	characteristic
293	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₇₉	C₂³	1	2	yes	—
295	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
296	#117×C₇₉	C₂³	1	2	yes	—
297	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
300	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
301	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
302	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
303	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
304	C₄⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₇₉	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
309	#97×C₇₉	C₂³	1	2	yes	—
310	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₉	C₂³	1	2	yes	—
313	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
314	C₂³×D₇₉	C₂²×C₄	1	2	yes	—
315	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
316	C₂×Dic₁₅₈	C₂²×C₄	1	2	yes	—
317	Q₈×D₇₉	—	4	2	no	—
318	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
319	C₂×D₃₁₆	C₂²×C₄	1	2	yes	—
320	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
321	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
322	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
323	D₄×D₇₉	—	4	4	no	—
324	D₄×D₇₉	—	4	2	no	—
325	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
326	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
327	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
328	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
329	C₂×C₄×D₇₉	—	2	4	no	—
330	C₂×C₄×D₇₉	—	2	2	no	—
331	C₂×C₄×D₇₉	—	2	2	no	—
332	C₂×C₄×D₇₉	—	2	4	no	—
333	C₂×C₄×D₇₉	—	4	2	no	—
334	C₂×C₄×D₇₉	—	4	2	no	—
335	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
336	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
337	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
338	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
339	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
340	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
341	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
342	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
345	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
346	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
347	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
348	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
349	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
350	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
351	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
352	#11929608	—	4	2	no	—
353	#11929607	—	2	2	no	—
354	#11929607	—	2	4	no	—
355	#11929607	—	2	4	no	—
356	#11929607	—	2	2	no	—
357	#11929607	—	2	2	no	—
358	#11929607	—	2	2	no	—
359	#11929607	—	4	2	no	—
360	#11929607	—	4	2	no	—
361	#11929607	—	4	2	no	—
362	#11929607	—	4	2	no	—
363	C₂×C₇₉⋊C₈	—	4	2	no	—
364	C₂×C₇₉⋊C₈	—	4	2	no	—
365	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
366	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
367	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
368	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
369	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
370	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
371	C₈×D₇₉	—	4	2	no	—
372	C₈×D₇₉	—	4	2	no	—
373	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
374	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
375	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
376	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
377	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
378	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
379	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
380	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
381	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
382	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
383	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
384	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
385	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
386	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
387	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
388	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
389	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
390	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
391	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
392	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
393	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
394	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
395	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
396	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
397	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
398	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
399	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
400	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
401	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
402	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
404	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
405	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
406	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
407	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
408	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
409	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
410	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
411	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
412	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
413	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
414	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
415	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
416	C₄×Dic₇₉	C₂⁴	1	2	yes	—
417	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
418	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
419	C₂×Q₈×C₇₉	C₂²×C₄	1	1	yes	characteristic
420	C₂×D₄×C₇₉	C₂²×C₄	1	2	yes	—
421	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
422	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
423	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
424	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
426	M₁₆×C₇₉	—	4	2	no	—
427	C₂×C₈×C₇₉	—	4	2	no	—
428	C₂×C₈×C₇₉	—	4	2	no	—
429	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
430	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
431	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
432	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
433	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
434	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
435	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
436	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
437	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
438	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
439	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
440	C₄⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
441	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
442	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
443	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
444	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
445	C₂²⋊C₄×C₇₉	C₂²×C₄	1	2	yes	—
446	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
447	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₄²×C₇₉	C₂⁴	1	2	yes	—
450	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
451	C₂³×C₇₉	C₂³×C₄	1	2	yes	—
452	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
453	C₂²×D₇₉	—	2	2	no	—
454	C₂²×D₇₉	—	2	2	no	—
455	C₂²×D₇₉	—	2	4	no	—
456	C₂²×D₇₉	—	4	1	no	—
457	C₂²×D₇₉	—	4	2	no	—
458	C₂²×D₇₉	—	4	2	no	—
459	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
460	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
461	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
462	Q₈×C₇₉	—	2	2	no	—
463	D₄×C₇₉	—	2	4	no	—
464	D₄×C₇₉	—	2	2	no	—
465	C₂×C₄×C₇₉	—	2	2	no	—
466	C₂×C₄×C₇₉	—	2	2	no	—
467	C₂×C₄×C₇₉	—	2	1	no	—
468	C₂×C₄×C₇₉	—	2	2	no	—
469	C₂×C₄×C₇₉	—	2	1	no	—
470	C₂×C₄×C₇₉	—	2	2	no	—
471	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
472	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
473	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
474	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
475	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
476	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
477	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
479	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
480	C₂²⋊D₇₉	—	2	4	no	—
481	C₂²⋊D₇₉	—	4	2	no	—
482	C₂²⋊D₇₉	—	4	2	no	—
483	C₂×Dic₇₉	—	2	2	no	—
484	C₂×Dic₇₉	—	2	2	no	—
485	C₂×Dic₇₉	—	2	4	no	—
486	C₂×Dic₇₉	—	4	1	no	—
487	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
488	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
489	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
490	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
491	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
492	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
493	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
494	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
495	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
496	D₃₁₆	—	2	2	no	—
497	D₃₁₆	—	4	2	no	—
498	C₄×D₇₉	—	2	4	no	—
499	C₄×D₇₉	—	2	2	no	—
500	C₄×D₇₉	—	2	2	no	—
501	C₄×D₇₉	—	2	2	no	—
502	C₄×D₇₉	—	2	2	no	—
503	C₄×D₇₉	—	2	1	no	—
504	C₄×D₇₉	—	2	1	no	—
505	C₄×D₇₉	—	2	2	no	—
506	C₄×D₇₉	—	2	4	no	—
507	C₄×D₇₉	—	2	2	no	—
508	C₄×D₇₉	—	4	1	no	—
509	C₄×D₇₉	—	4	1	no	—
510	C₄×D₇₉	—	4	1	no	—
511	C₄×D₇₉	—	4	1	no	—
512	C₄×D₇₉	—	4	1	no	—
513	C₄×D₇₉	—	4	1	no	—
514	C₄×D₇₉	—	4	2	no	—
515	C₄×D₇₉	—	4	2	no	—
516	C₄×D₇₉	H(5,𝔽₂)	1	2	yes	—
517	C₄×D₇₉	2₋¹⁺⁴	1	2	yes	—
518	Dic₁₅₈	—	2	2	no	—
519	Dic₁₅₈	—	4	2	no	—
520	C₈×C₇₉	—	2	1	no	—
521	C₈×C₇₉	—	2	2	no	—
522	C₈×C₇₉	—	2	2	no	—
523	C₈×C₇₉	—	2	1	no	—
524	C₈×C₇₉	—	2	1	no	—
525	C₈×C₇₉	—	2	1	no	—
526	C₇₉⋊C₈	—	2	1	no	—
527	C₇₉⋊C₈	—	2	2	no	—
528	C₇₉⋊C₈	—	2	2	no	—
529	C₇₉⋊C₈	—	2	1	no	—
530	C₇₉⋊C₈	—	2	1	no	—
531	C₇₉⋊C₈	—	2	1	no	—
532	C₂²×C₇₉	—	2	1	no	—
533	C₂²×C₇₉	—	2	1	no	—
534	C₂²×C₇₉	—	2	2	no	—
535	C₂²×C₇₉	—	2	2	no	—
536	C₂²×C₇₉	—	2	2	no	—
537	C₂²×C₇₉	#568	1	2	yes	—
538	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
539	C₂×D₇₉	—	2	1	no	—
540	C₂×D₇₉	—	2	1	no	—
541	C₂×D₇₉	—	2	1	no	—
542	C₂×D₇₉	—	2	2	no	—
543	C₂×D₇₉	—	2	2	no	—
544	C₂×D₇₉	—	2	1	no	—
545	C₂×D₇₉	—	2	2	no	—
546	C₂×D₇₉	—	2	1	no	—
547	C₂×D₇₉	—	4	4	no	—
548	C₂×D₇₉	—	8	4	no	—
549	C₂×D₇₉	#520	1	2	yes	—
550	C₄×C₇₉	—	2	1	no	—
551	C₄×C₇₉	—	2	2	no	—
552	C₄×C₇₉	—	2	1	no	—
553	C₄×C₇₉	—	2	1	no	—
554	C₄×C₇₉	—	2	1	no	—
555	C₄×C₇₉	—	2	2	no	—
556	C₄×C₇₉	—	2	2	no	—
557	C₄×C₇₉	#568	1	2	yes	—
558	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
559	C₄×C₇₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
560	Dic₇₉	—	2	2	no	—
561	Dic₇₉	—	2	1	no	—
562	Dic₇₉	—	2	2	no	—
563	Dic₇₉	—	2	1	no	—
564	Dic₇₉	—	2	2	no	—
565	Dic₇₉	—	2	1	no	—
566	Dic₇₉	—	2	1	no	—
567	Dic₇₉	—	2	1	no	—
568	Dic₇₉	#520	1	2	yes	—
569	#60264	—	79	1	no	maximal, Sylow
570	C₂×C₇₉	—	2	2	no	—
571	C₂×C₇₉	—	4	2	no	—
572	C₂×C₇₉	C₂×#520	1	1	yes	characteristic
573	C₂×C₇₉	C₂×#568	1	1	yes	characteristic
574	C₂×C₇₉	C₂×#568	1	1	yes	characteristic
575	D₇₉	—	2	2	no	—
576	D₇₉	—	4	1	no	—
577	D₇₉	—	4	2	no	—
578	C₂×#529	—	79	1	no	—
579	#2995	—	79	2	no	—
580	#2995	—	79	2	no	—
581	#2994	—	79	1	no	—
582	#2994	—	79	1	no	—
583	#2994	—	79	1	no	—
584	#2994	D₇₉	1	1	yes	characteristic, complemented
585	#2993	—	79	1	no	—
586	#2993	—	79	1	no	—
587	#2993	—	79	1	no	—
588	#2993	—	79	1	no	—
589	#2992	—	79	2	no	—
590	#2992	—	79	2	no	—
591	Q₈×M₁₆	—	79	1	no	—
592	Q₈×M₁₆	—	79	1	no	—
593	D₄×M₁₆	—	79	1	no	—
594	D₄×M₁₆	—	79	2	no	—
595	D₄×M₁₆	—	79	2	no	—
596	D₄×M₁₆	—	79	1	no	—
597	#2921	—	79	2	no	—
598	#2920	—	79	1	no	—
599	#2905	—	79	2	no	—
600	C₂×#423	—	79	1	no	—
601	C₇₉	#60264	1	1	yes	characteristic, complemented, Sylow
602	C₂²×M₁₆	—	79	2	no	—
603	C₂²×M₁₆	—	79	2	no	—
604	C₂²×M₁₆	—	79	2	no	—
605	#529	—	79	2	no	—
606	#529	—	79	1	no	—
607	#529	—	79	1	no	—
608	#529	—	79	2	no	—
609	#529	—	79	1	no	—
610	#529	—	79	1	no	—
611	#529	—	79	1	no	—
612	#529	—	79	2	no	—
613	#529	—	79	1	no	—
614	#529	—	79	2	no	—
615	#529	—	79	1	no	—
616	#529	C₂×D₇₉	1	1	yes	characteristic
617	C₂×#126	—	79	2	no	—
618	C₂×#125	—	79	1	no	—
619	C₂×#124	—	79	1	no	—
620	C₂×#123	—	79	2	no	—
621	C₂×C₂²⋊Q₈	—	79	1	no	—
622	C₂×#121	—	79	1	no	—
623	C₂×C₄×Q₈	—	79	1	no	—
624	C₂×C₄×D₄	—	79	2	no	—
625	C₂×C₄×D₄	—	79	1	no	—
626	C₂×#117	—	79	2	no	—
627	C₂²×C₄²	—	79	1	no	—
628	#446	—	79	1	no	—
629	#446	—	79	2	no	—
630	#446	—	79	1	no	—
631	#446	—	79	2	no	—
632	#446	—	79	2	no	—
633	#446	—	79	2	no	—
634	#446	—	79	1	no	—
635	#446	C₂×D₇₉	1	1	yes	characteristic, complemented
636	C₈×Q₈	—	79	1	no	—
637	C₈×Q₈	—	79	1	no	—
638	C₈×Q₈	—	79	1	no	—
639	C₈×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
640	#436	—	79	2	no	—
641	#436	—	79	1	no	—
642	#436	—	79	1	no	—
643	#436	—	79	2	no	—
644	#436	—	79	2	no	—
645	#436	—	79	1	no	—
646	#436	—	79	2	no	—
647	#436	C₂×D₇₉	1	1	yes	characteristic, complemented
648	#435	—	79	2	no	—
649	#435	—	79	2	no	—
650	#435	—	79	2	no	—
651	#435	—	79	2	no	—
652	#435	—	79	2	no	—
653	#435	—	79	2	no	—
654	#435	—	79	2	no	—
655	#435	—	79	2	no	—
656	#435	—	79	2	no	—
657	#435	—	79	2	no	—
658	#435	—	79	2	no	—
659	#435	C₂×D₇₉	1	2	yes	complemented
660	C₈×D₄	—	79	2	no	—
661	C₈×D₄	—	79	2	no	—
662	C₈×D₄	—	79	1	no	—
663	C₈×D₄	—	79	1	no	—
664	C₈×D₄	—	79	2	no	—
665	C₈×D₄	—	79	1	no	—
666	C₈×D₄	C₂×D₇₉	1	2	yes	complemented
667	C₈×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
668	#433	—	79	2	no	—
669	#433	—	79	2	no	—
670	#433	—	79	2	no	—
671	#433	—	79	2	no	—
672	#433	—	79	2	no	—
673	#433	—	79	2	no	—
674	#433	—	79	2	no	—
675	#433	C₂×D₇₉	1	2	yes	complemented
676	#432	—	79	1	no	—
677	#432	—	79	1	no	—
678	#432	—	79	1	no	—
679	#432	—	79	1	no	—
680	#431	—	79	1	no	—
681	#431	—	79	1	no	—
682	#431	—	79	1	no	—
683	#431	C₂×D₇₉	1	1	yes	characteristic, complemented
684	#424	—	79	2	no	—
685	#424	—	79	2	no	—
686	#424	—	79	2	no	—
687	#424	—	79	2	no	—
688	#424	—	79	2	no	—
689	#424	—	79	2	no	—
690	#424	—	79	2	no	—
691	#424	C₂×D₇₉	1	2	yes	complemented
692	#423	—	79	2	no	—
693	#423	—	79	1	no	—
694	#423	—	79	1	no	—
695	#423	—	79	1	no	—
696	#423	—	79	1	no	—
697	#423	—	79	2	no	—
698	#423	—	79	1	no	—
699	#423	—	79	2	no	—
700	#423	—	79	2	no	—
701	#423	—	79	1	no	—
702	C₂×C₄⋊C₈	—	79	2	no	—
703	C₂×C₄⋊C₈	—	79	1	no	—
704	C₂×C₄⋊C₈	C₂×D₇₉	1	1	yes	characteristic, complemented
705	#407	—	79	1	no	—
706	#407	—	79	1	no	—
707	#407	—	79	2	no	—
708	#407	—	79	2	no	—
709	C₄×M₁₆	—	79	2	no	—
710	C₄×M₁₆	—	79	1	no	—
711	C₄×M₁₆	—	79	1	no	—
712	C₄×M₁₆	—	79	2	no	—
713	C₂²×Q₈	—	79	1	no	—
714	C₂²×D₄	—	79	2	no	—
715	C₂²×D₄	—	79	1	no	—
716	C₂³×C₄	—	79	1	no	—
717	C₂³×C₄	—	79	1	no	—
718	C₂³×C₄	—	79	2	no	—
719	C₂³×C₄	—	79	1	no	—
720	C₂×M₁₆	—	316	4	no	—
721	C₂×M₁₆	—	316	4	no	—
722	C₂×M₁₆	—	316	4	no	—
723	C₂×M₁₆	—	79	2	no	—
724	C₂×M₁₆	—	79	2	no	—
725	C₂×M₁₆	—	79	2	no	—
726	C₂×M₁₆	—	79	2	no	—
727	C₂×M₁₆	—	79	2	no	—
728	C₂×M₁₆	—	79	2	no	—
729	C₂×M₁₆	—	79	1	no	—
730	C₂×M₁₆	—	79	2	no	—
731	C₂×M₁₆	—	79	1	no	—
732	C₂×M₁₆	—	79	1	no	—
733	C₂×M₁₆	—	79	1	no	—
734	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
735	C₂²×C₈	—	79	2	no	—
736	C₂²×C₈	—	79	2	no	—
737	C₂²×C₈	—	79	2	no	—
738	C₂²×C₈	—	79	2	no	—
739	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
740	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
741	#126	—	79	2	no	—
742	#126	—	79	2	no	—
743	#126	—	79	2	no	—
744	#126	—	79	2	no	—
745	#126	—	79	2	no	—
746	#126	—	79	2	no	—
747	#126	—	79	2	no	—
748	#126	C₄×D₇₉	1	2	yes	—
749	#125	—	79	2	no	—
750	#125	—	79	2	no	—
751	#125	—	79	1	no	—
752	#125	—	79	1	no	—
753	#125	—	79	1	no	—
754	#125	C₄×D₇₉	1	1	yes	characteristic
755	#124	—	79	1	no	—
756	#124	—	79	1	no	—
757	#124	—	79	2	no	—
758	#124	—	79	2	no	—
759	#124	—	79	1	no	—
760	#124	C₄×D₇₉	1	1	yes	characteristic
761	#123	—	79	2	no	—
762	#123	—	79	2	no	—
763	#123	—	79	2	no	—
764	#123	—	79	2	no	—
765	#123	—	79	2	no	—
766	#123	—	79	2	no	—
767	#123	—	79	2	no	—
768	#123	C₄×D₇₉	1	2	yes	—
769	C₂²⋊Q₈	—	79	1	no	—
770	C₂²⋊Q₈	—	79	1	no	—
771	C₂²⋊Q₈	—	79	2	no	—
772	C₂²⋊Q₈	—	79	1	no	—
773	C₂²⋊Q₈	—	79	2	no	—
774	C₂²⋊Q₈	C₄×D₇₉	1	1	yes	characteristic
775	#121	—	79	1	no	—
776	#121	—	79	2	no	—
777	#121	—	79	1	no	—
778	#121	—	79	1	no	—
779	#121	—	79	2	no	—
780	#121	C₄×D₇₉	1	1	yes	characteristic
781	C₄×Q₈	—	79	1	no	—
782	C₄×Q₈	—	79	2	no	—
783	C₄×Q₈	—	79	1	no	—
784	C₄×Q₈	—	79	1	no	—
785	C₄×Q₈	—	79	2	no	—
786	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
787	C₄×D₄	—	79	1	no	—
788	C₄×D₄	—	79	2	no	—
789	C₄×D₄	—	79	2	no	—
790	C₄×D₄	—	79	2	no	—
791	C₄×D₄	—	79	2	no	—
792	C₄×D₄	—	79	1	no	—
793	C₄×D₄	—	79	2	no	—
794	C₄×D₄	—	79	2	no	—
795	C₄×D₄	—	79	2	no	—
796	C₄×D₄	—	79	2	no	—
797	C₄×D₄	—	79	1	no	—
798	C₄×D₄	—	79	2	no	—
799	C₄×D₄	C₂²×D₇₉	1	2	yes	—
800	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
801	#117	—	79	2	no	—
802	#117	—	79	2	no	—
803	#117	—	79	2	no	—
804	#117	—	79	2	no	—
805	#117	—	79	2	no	—
806	#117	—	79	2	no	—
807	#117	—	79	2	no	—
808	#117	C₂²×D₇₉	1	2	yes	—
809	C₂×C₄⋊C₄	—	79	2	no	—
810	C₂×C₄⋊C₄	—	79	2	no	—
811	C₂×C₄⋊C₄	—	79	1	no	—
812	C₂×C₄⋊C₄	—	79	2	no	—
813	C₂×C₄⋊C₄	—	79	1	no	—
814	C₂×C₄⋊C₄	—	79	2	no	—
815	C₂×C₂²⋊C₄	—	79	2	no	—
816	C₂×C₂²⋊C₄	—	79	2	no	—
817	C₂×C₂²⋊C₄	—	79	2	no	—
818	C₂×C₂²⋊C₄	—	79	2	no	—
819	C₂×C₂²⋊C₄	—	79	2	no	—
820	C₂×C₄²	—	79	1	no	—
821	C₂×C₄²	—	79	1	no	—
822	C₂×C₄²	—	79	1	no	—
823	C₂×C₄²	—	79	1	no	—
824	C₂×C₄²	—	79	1	no	—
825	C₂×C₄²	—	79	1	no	—
826	C₂×C₄²	—	79	1	no	—
827	C₂×C₄²	—	79	1	no	—
828	C₂×C₄²	—	79	2	no	—
829	C₂×C₄²	—	79	1	no	—
830	C₂×C₄²	—	79	1	no	—
831	C₂×C₄²	—	79	1	no	—
832	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
833	C₄⋊C₈	—	79	2	no	—
834	C₄⋊C₈	—	79	2	no	—
835	C₄⋊C₈	—	79	2	no	—
836	C₄⋊C₈	—	79	2	no	—
837	C₄⋊C₈	—	79	1	no	—
838	C₄⋊C₈	—	79	1	no	—
839	C₄⋊C₈	—	79	2	no	—
840	C₄⋊C₈	—	79	2	no	—
841	C₄⋊C₈	—	79	2	no	—
842	C₄⋊C₈	—	79	2	no	—
843	C₄⋊C₈	—	79	1	no	—
844	C₄⋊C₈	—	79	1	no	—
845	C₄⋊C₈	—	79	2	no	—
846	C₄⋊C₈	—	79	1	no	—
847	C₄⋊C₈	—	79	1	no	—
848	C₄⋊C₈	—	79	1	no	—
849	C₄⋊C₈	—	79	2	no	—
850	C₄⋊C₈	—	79	2	no	—
851	C₄⋊C₈	—	79	1	no	—
852	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
853	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
854	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
855	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
856	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
857	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
858	C₄⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
859	C₂²⋊C₈	—	79	1	no	—
860	C₂²⋊C₈	—	79	1	no	—
861	C₂²⋊C₈	—	79	2	no	—
862	C₂²⋊C₈	—	79	2	no	—
863	C₂²⋊C₈	—	79	1	no	—
864	C₂²⋊C₈	—	79	1	no	—
865	C₂²⋊C₈	—	79	1	no	—
866	C₂²⋊C₈	—	79	1	no	—
867	C₂²⋊C₈	—	79	2	no	—
868	C₂²⋊C₈	—	79	2	no	—
869	C₂²⋊C₈	—	79	2	no	—
870	C₂²⋊C₈	—	79	2	no	—
871	C₂²⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
872	C₂²⋊C₈	C₂²×D₇₉	1	1	yes	characteristic
873	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
874	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
875	#97	—	79	1	no	—
876	#97	—	79	1	no	—
877	#97	—	79	1	no	—
878	#97	—	79	1	no	—
879	#97	—	79	2	no	—
880	#97	—	79	2	no	—
881	#97	—	79	2	no	—
882	#97	C₂²×D₇₉	1	2	yes	—
883	C₄×C₈	—	79	2	no	—
884	C₄×C₈	—	79	2	no	—
885	C₄×C₈	—	79	1	no	—
886	C₄×C₈	—	79	1	no	—
887	C₄×C₈	—	79	2	no	—
888	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
889	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
890	C₄×C₈	C₂²×D₇₉	1	2	yes	—
891	C₂⁴	—	79	2	no	—
892	C₂⁴	—	79	1	no	—
893	C₂×Q₈	—	316	2	no	—
894	C₂×Q₈	—	79	2	no	—
895	C₂×Q₈	—	79	1	no	—
896	C₂×Q₈	C₂×C₄×D₇₉	1	1	yes	characteristic
897	C₂×D₄	—	316	4	no	—
898	C₂×D₄	—	316	2	no	—
899	C₂×D₄	—	79	2	no	—
900	C₂×D₄	—	79	2	no	—
901	C₂×D₄	—	79	2	no	—
902	C₂×D₄	—	79	2	no	—
903	C₂×D₄	—	79	1	no	—
904	C₂×D₄	C₂×C₄×D₇₉	1	2	yes	—
905	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
906	C₂²×C₄	—	316	2	no	—
907	C₂²×C₄	—	316	2	no	—
908	C₂²×C₄	—	79	1	no	—
909	C₂²×C₄	—	79	1	no	—
910	C₂²×C₄	—	79	1	no	—
911	C₂²×C₄	—	79	1	no	—
912	C₂²×C₄	—	79	1	no	—
913	C₂²×C₄	—	79	1	no	—
914	C₂²×C₄	—	79	1	no	—
915	C₂²×C₄	—	79	2	no	—
916	C₂²×C₄	—	79	2	no	—
917	C₂²×C₄	—	79	1	no	—
918	C₂²×C₄	—	79	1	no	—
919	C₂²×C₄	—	79	1	no	—
920	C₂²×C₄	—	79	2	no	—
921	C₂²×C₄	—	79	1	no	—
922	C₂²×C₄	—	79	2	no	—
923	C₂²×C₄	—	79	1	no	—
924	C₂²×C₄	—	79	1	no	—
925	C₂²×C₄	—	79	1	no	—
926	C₂²×C₄	—	79	1	no	—
927	C₂²×C₄	—	79	2	no	—
928	C₂²×C₄	—	79	2	no	—
929	C₂²×C₄	—	158	2	no	—
930	C₂²×C₄	—	158	4	no	—
931	C₂²×C₄	—	158	2	no	—
932	C₂²×C₄	—	158	4	no	—
933	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
934	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
937	M₁₆	—	4	2	no	—
938	M₁₆	—	316	2	no	—
939	M₁₆	—	316	2	no	—
940	M₁₆	—	316	2	no	—
941	M₁₆	—	316	2	no	—
942	M₁₆	—	316	2	no	—
943	M₁₆	—	158	4	no	—
944	M₁₆	—	158	2	no	—
945	M₁₆	—	158	4	no	—
946	M₁₆	—	158	2	no	—
947	M₁₆	—	158	2	no	—
948	M₁₆	—	158	2	no	—
949	C₂×C₈	—	4	2	no	—
950	C₂×C₈	—	4	2	no	—
951	C₂×C₈	—	316	2	no	—
952	C₂×C₈	—	316	2	no	—
953	C₂×C₈	—	316	2	no	—
954	C₂×C₈	—	316	2	no	—
955	C₂×C₈	—	79	1	no	—
956	C₂×C₈	—	79	1	no	—
957	C₂×C₈	—	79	2	no	—
958	C₂×C₈	—	79	1	no	—
959	C₂×C₈	—	79	1	no	—
960	C₂×C₈	—	79	2	no	—
961	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
962	C₂×C₈	C₂³×D₇₉	1	2	yes	—
963	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
964	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
965	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
966	C₂×C₈	C₂³×D₇₉	1	2	yes	—
967	C₄⋊C₄	—	79	2	no	—
968	C₄⋊C₄	—	79	2	no	—
969	C₄⋊C₄	—	79	2	no	—
970	C₄⋊C₄	—	79	2	no	—
971	C₄⋊C₄	—	79	2	no	—
972	C₄⋊C₄	—	79	2	no	—
973	C₄⋊C₄	—	79	2	no	—
974	C₄⋊C₄	—	79	2	no	—
975	C₄⋊C₄	—	79	2	no	—
976	C₄⋊C₄	—	79	2	no	—
977	C₄⋊C₄	—	79	2	no	—
978	C₄⋊C₄	—	79	2	no	—
979	C₄⋊C₄	—	79	1	no	—
980	C₄⋊C₄	—	79	2	no	—
981	C₄⋊C₄	—	79	1	no	—
982	C₄⋊C₄	—	79	2	no	—
983	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
984	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
985	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
986	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
987	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
988	C₄⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
989	C₂²⋊C₄	—	79	2	no	—
990	C₂²⋊C₄	—	79	2	no	—
991	C₂²⋊C₄	—	79	2	no	—
992	C₂²⋊C₄	—	79	2	no	—
993	C₂²⋊C₄	—	79	2	no	—
994	C₂²⋊C₄	—	79	2	no	—
995	C₂²⋊C₄	—	79	2	no	—
996	C₂²⋊C₄	—	79	2	no	—
997	C₂²⋊C₄	—	79	2	no	—
998	C₂²⋊C₄	—	79	2	no	—
999	C₂²⋊C₄	—	79	2	no	—
1000	C₂²⋊C₄	—	79	2	no	—
1001	C₂²⋊C₄	—	79	2	no	—
1002	C₂²⋊C₄	—	79	2	no	—
1003	C₂²⋊C₄	—	79	2	no	—
1004	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1005	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1006	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₄×D₇₉	1	2	yes	—
1009	C₄²	—	79	2	no	—
1010	C₄²	—	79	1	no	—
1011	C₄²	—	79	1	no	—
1012	C₄²	—	79	1	no	—
1013	C₄²	—	79	1	no	—
1014	C₄²	—	79	1	no	—
1015	C₄²	—	79	1	no	—
1016	C₄²	—	79	1	no	—
1017	C₄²	—	79	1	no	—
1018	C₄²	—	79	1	no	—
1019	C₄²	—	79	1	no	—
1020	C₄²	—	79	1	no	—
1021	C₄²	—	79	1	no	—
1022	C₄²	—	79	2	no	—
1023	C₄²	—	79	2	no	—
1024	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1025	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1026	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1027	C₄²	C₂³×D₇₉	1	2	yes	—
1028	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1029	C₂³	—	316	1	no	—
1030	C₂³	—	316	2	no	—
1031	C₂³	—	316	2	no	—
1032	C₂³	—	79	1	no	—
1033	C₂³	—	79	2	no	—
1034	C₂³	—	79	1	no	—
1035	C₂³	—	158	2	no	—
1036	C₂³	—	158	4	no	—
1037	C₂³	—	158	2	no	—
1038	C₂³	C₂²×C₄×D₇₉	1	2	yes	—
1039	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1040	Q₈	—	2	2	no	—
1041	Q₈	—	316	2	no	—
1042	Q₈	—	158	2	no	—
1043	D₄	—	2	4	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	316	2	no	—
1046	D₄	—	316	2	no	—
1047	D₄	—	316	2	no	—
1048	D₄	—	158	4	no	—
1049	D₄	—	158	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	316	1	no	—
1057	C₂×C₄	—	316	1	no	—
1058	C₂×C₄	—	316	1	no	—
1059	C₂×C₄	—	316	1	no	—
1060	C₂×C₄	—	316	1	no	—
1061	C₂×C₄	—	316	1	no	—
1062	C₂×C₄	—	316	2	no	—
1063	C₂×C₄	—	316	2	no	—
1064	C₂×C₄	—	316	1	no	—
1065	C₂×C₄	—	79	1	no	—
1066	C₂×C₄	—	79	2	no	—
1067	C₂×C₄	—	79	2	no	—
1068	C₂×C₄	—	79	1	no	—
1069	C₂×C₄	—	79	1	no	—
1070	C₂×C₄	—	79	1	no	—
1071	C₂×C₄	—	79	1	no	—
1072	C₂×C₄	—	79	1	no	—
1073	C₂×C₄	—	79	2	no	—
1074	C₂×C₄	—	79	2	no	—
1075	C₂×C₄	—	79	2	no	—
1076	C₂×C₄	—	158	2	no	—
1077	C₂×C₄	—	158	4	no	—
1078	C₂×C₄	—	158	2	no	—
1079	C₂×C₄	—	158	4	no	—
1080	C₂×C₄	—	158	2	no	—
1081	C₂×C₄	—	158	4	no	—
1082	C₂×C₄	—	158	2	no	—
1083	C₂×C₄	—	158	2	no	—
1084	C₂×C₄	—	158	1	no	—
1085	C₂×C₄	—	158	1	no	—
1086	C₂×C₄	—	158	2	no	—
1087	C₂×C₄	—	158	2	no	—
1088	C₂×C₄	—	158	2	no	—
1089	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1090	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1091	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1092	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1093	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1094	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1095	C₂×C₄	C₂²×C₄×D₇₉	1	2	yes	—
1096	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1097	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	2	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	1	no	—
1103	C₈	—	2	1	no	—
1104	C₈	—	158	1	no	—
1105	C₈	—	158	2	no	—
1106	C₈	—	158	2	no	—
1107	C₈	—	158	1	no	—
1108	C₈	—	158	1	no	—
1109	C₈	—	158	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	316	4	no	—
1116	C₂²	—	79	2	no	—
1117	C₂²	—	632	4	no	—
1118	C₂²	—	158	1	no	—
1119	C₂²	—	158	1	no	—
1120	C₂²	—	158	2	no	—
1121	C₂²	—	158	2	no	—
1122	C₂²	—	158	1	no	—
1123	C₂²	—	158	2	no	—
1124	C₂²	—	158	1	no	—
1125	C₂²	—	158	1	no	—
1126	C₂²	#19099328	1	2	yes	—
1127	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1128	C₄	—	2	1	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	79	2	no	—
1136	C₄	—	158	1	no	—
1137	C₄	—	158	1	no	—
1138	C₄	—	158	1	no	—
1139	C₄	—	158	1	no	—
1140	C₄	—	158	2	no	—
1141	C₄	—	158	2	no	—
1142	C₄	—	158	1	no	—
1143	C₄	—	158	2	no	—
1144	C₄	#19099328	1	2	yes	—
1145	C₄	H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1146	C₄	2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1147	C₂	—	2	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	316	1	no	—
1150	C₂	—	316	2	no	—
1151	C₂	—	158	2	no	—
1152	C₂	#520×D₇₉	1	1	yes	characteristic
1153	C₂	C₂×#19099328	1	1	yes	characteristic
1154	C₂	C₂×#19099328	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₉
commutator, socle	C₂²×C₇₉	C₂⁴×C₄
Fitting	C₇₉×#2994	C₂
prime radical	#121×D₇₉	C₄
cosocle	C₂×C₄×C₇₉	C₂⁵
hypercenter	#2994	D₇₉
hypocenter	C₇₉	#60264
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ #2994

Complements

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

N	H ≅ G/N	type
2. #23772568	C₂	semidirect
3. #23772565	C₂	semidirect
4. #23772562	C₂	semidirect
5. #23772560	C₂	semidirect
6. #23772556	C₂	semidirect
7. #23772552	C₂	semidirect
8. #23772550	C₂	semidirect
9. #23772548	C₂	semidirect
10. #23772544	C₂	semidirect
11. #23772540	C₂	semidirect
12. #23772533	C₂	semidirect
13. #23772352	C₂	semidirect
14. Q₈×#11929607	C₂	semidirect
15. #23772136	C₂	semidirect
16. #23772133	C₂	semidirect
17. D₄×#11929607	C₂	semidirect
18. D₄×#11929607	C₂	semidirect
19. #23772034	C₂	semidirect
20. #23772028	C₂	semidirect
21. #23771961	C₂	semidirect
22. C₂×#19098585	C₂	semidirect
23. C₇₉×#2994	C₂	semidirect
49. #19098694	C₂²	semidirect
50. #19098693	C₂²	semidirect
51. #19098693	C₂²	semidirect
52. #19098692	C₂²	semidirect
53. #19098691	C₂²	semidirect
54. #19098690	C₂²	semidirect
55. #19098690	C₂²	semidirect
56. Q₈×C₇₉⋊C₈	C₂²	semidirect
57. C₈×Dic₁₅₈	C₂²	semidirect
58. #19098687	C₂²	semidirect
59. #19098642	C₂²	semidirect
60. #19098642	C₂²	semidirect
61. #19098641	C₂²	semidirect
62. #19098640	C₂²	semidirect
63. #19098640	C₂²	semidirect
64. #19098639	C₂²	semidirect
65. #19098638	C₂²	semidirect
66. #19098637	C₂²	semidirect
67. #19098636	C₂²	semidirect
68. #19098635	C₂²	semidirect
69. #19098634	C₂²	semidirect
70. #19098634	C₂²	semidirect
71. #19098634	C₂²	semidirect
72. #19098633	C₂²	semidirect
73. #19098632	C₂²	semidirect
74. #19098631	C₂²	semidirect
75. #19098631	C₂²	semidirect
76. #19098631	C₂²	semidirect
77. C₈×D₃₁₆	C₂²	semidirect
78. D₄×C₇₉⋊C₈	C₂²	semidirect
79. D₄×C₇₉⋊C₈	C₂²	semidirect
80. #19098628	C₂²	semidirect
81. C₈×C₂²⋊D₇₉	C₂²	semidirect
82. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
83. #19098625	C₂²	semidirect
84. #19098624	C₂²	semidirect
85. #19098623	C₂²	semidirect
86. #19098623	C₂²	semidirect
87. #19098622	C₂²	semidirect
88. #19098621	C₂²	semidirect
89. #19098621	C₂²	semidirect
90. #19098619	C₂²	semidirect
91. #19098619	C₂²	semidirect
92. #19098617	C₂²	semidirect
93. #19098617	C₂²	semidirect
94. #19098616	C₂²	semidirect
95. #19098614	C₂²	semidirect
96. #19098614	C₂²	semidirect
97. #19098591	C₂²	semidirect
98. #19098590	C₂²	semidirect
99. #19098589	C₂²	semidirect
100. #19098588	C₂²	semidirect
101. #19098588	C₂²	semidirect
102. #19098588	C₂²	semidirect
103. #19098588	C₂²	semidirect
111. #19098585	C₂²	semidirect
112. #19098585	C₂²	semidirect
113. #19098585	C₂²	semidirect
114. C₂×C₄⋊(C₇₉⋊C₈)	C₂²	semidirect
115. C₂×Dic₇₉⋊C₈	C₂²	semidirect
125. #446×C₇₉	C₂²	semidirect
126. C₈×Q₈×C₇₉	C₂²	semidirect
127. #436×C₇₉	C₂²	semidirect
128. #435×C₇₉	C₂²	semidirect
129. C₈×D₄×C₇₉	C₂²	semidirect
130. C₈×D₄×C₇₉	C₂²	semidirect
131. #433×C₇₉	C₂²	semidirect
132. #431×C₇₉	C₂²	semidirect
133. #424×C₇₉	C₂²	semidirect
134. C₂×C₄⋊C₈×C₇₉	C₂²	semidirect
584. #2994	D₇₉	semidirect
601. C₇₉	#60264	semidirect
635. #446	C₂×D₇₉	semidirect
639. C₈×Q₈	C₂×D₇₉	semidirect
647. #436	C₂×D₇₉	semidirect
659. #435	C₂×D₇₉	semidirect
666. C₈×D₄	C₂×D₇₉	semidirect
667. C₈×D₄	C₂×D₇₉	semidirect
675. #433	C₂×D₇₉	semidirect
683. #431	C₂×D₇₉	semidirect
691. #424	C₂×D₇₉	semidirect
704. C₂×C₄⋊C₈	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#529×D₇₉	2
#23772568	2
#23772565	2
#23772562	2
#23772560	2
#23772556	2
#23772552	2
#23772550	2
#23772548	2
#23772544	2
#23772540	2
#23772533	2
#23772352	2
Q₈×#11929607	2
#23772136	2
#23772133	2
D₄×#11929607	2
#23772034	2
#23772028	2
#23771961	2
C₂×#19098585	2
C₇₉×#2994	2
#60264	79