Subgroups — #35152935

Order 20224.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23776958	C₂	1	1	yes	maximal, characteristic
2	#23772410	C₂	1	2	yes	maximal, complemented
3	#23772399	C₂	1	2	yes	maximal, complemented
4	#23772391	C₂	1	2	yes	maximal, complemented
5	#23772388	C₂	1	2	yes	maximal, complemented
6	#23772386	C₂	1	2	yes	maximal, complemented
7	#23772382	C₂	1	2	yes	maximal, complemented
8	#23772368	C₂	1	2	yes	maximal, complemented
9	#23772360	C₂	1	2	yes	maximal, complemented
10	#23772347	C₂	1	1	yes	maximal, characteristic, complemented
11	#23772337	C₂	1	1	yes	maximal, characteristic, complemented
12	#23772125	C₂	1	1	yes	maximal, characteristic, complemented
13	#23772125	C₂	1	1	yes	maximal, characteristic, complemented
14	#23772099	C₂	1	1	yes	maximal, characteristic, complemented
15	#23772090	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19098635	C₂	1	1	yes	maximal, characteristic, complemented
17	#23772068	C₂	1	1	yes	maximal, characteristic, complemented
18	#23772060	C₂	1	1	yes	maximal, characteristic, complemented
19	#23772060	C₂	1	1	yes	maximal, characteristic, complemented
20	#23771829	C₂	1	1	yes	maximal, characteristic, complemented
21	#23771818	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19098521	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×M₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14579169	C₂²	1	1	yes	characteristic
25	C₂×#14579169	C₂²	1	1	yes	characteristic
26	C₂²×#11929608	C₂²	1	1	yes	characteristic
27	C₂³×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
28	#19099283	C₄	1	1	yes	characteristic
29	#19099278	C₄	1	1	yes	characteristic
30	#19099270	C₄	1	1	yes	characteristic
31	#19099259	C₄	1	1	yes	characteristic
32	#19099259	C₄	1	1	yes	characteristic
33	#19099253	C₄	1	1	yes	characteristic
34	#19099253	C₄	1	1	yes	characteristic
35	#19099248	C₄	1	2	yes	—
36	#19099239	C₄	1	2	yes	—
37	#19099239	C₄	1	2	yes	—
38	#19099217	C₄	1	1	yes	characteristic
39	#19099207	C₄	1	2	yes	—
40	#19099120	C₂²	1	1	yes	characteristic
41	#19099095	C₂²	1	2	yes	—
42	#19099093	C₂²	1	2	yes	—
43	#19099093	C₂²	1	2	yes	—
44	#19099074	C₂²	1	1	yes	characteristic
45	#19099074	C₂²	1	1	yes	characteristic
46	C₄×#11929624	C₂²	1	1	yes	characteristic
47	C₄×#11929623	C₂²	1	2	yes	—
48	C₂×#14579120	C₂²	1	1	yes	characteristic
49	C₂×#14579120	C₂²	1	1	yes	characteristic
50	#19098693	C₂²	1	2	yes	complemented
51	#19098692	C₂²	1	2	yes	complemented
52	#19098692	C₂²	1	2	yes	complemented
53	#19098692	C₂²	1	2	yes	complemented
54	#19098692	C₂²	1	2	yes	complemented
55	#19098691	C₂²	1	2	yes	complemented
56	#19098691	C₂²	1	2	yes	complemented
57	C₈×Dic₁₅₈	C₂²	1	2	yes	complemented
58	#19098639	C₂²	1	2	yes	complemented
59	#19098639	C₂²	1	2	yes	complemented
60	#19098638	C₂²	1	2	yes	complemented
61	#19098638	C₂²	1	2	yes	complemented
62	#19098637	C₂²	1	2	yes	complemented
63	#19098637	C₂²	1	2	yes	complemented
64	#19098635	C₂²	1	1	yes	characteristic
65	#19098635	C₂²	1	1	yes	characteristic
66	#19098635	C₂²	1	1	yes	characteristic
67	#19098635	C₂²	1	1	yes	characteristic
68	#19098635	C₂²	1	1	yes	characteristic
69	#19098635	C₂²	1	1	yes	characteristic
70	#19098635	C₂²	1	1	yes	characteristic
71	#19098635	C₂²	1	1	yes	characteristic
72	#19098634	C₂²	1	2	yes	complemented
73	#19098634	C₂²	1	2	yes	complemented
74	#19098632	C₂²	1	2	yes	complemented
75	#19098632	C₂²	1	2	yes	complemented
76	#19098631	C₂²	1	2	yes	complemented
77	#19098631	C₂²	1	2	yes	complemented
78	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
79	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
80	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
81	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
82	#19098623	C₂²	1	2	yes	complemented
83	#19098623	C₂²	1	2	yes	complemented
84	#19098621	C₂²	1	2	yes	complemented
85	#19098621	C₂²	1	2	yes	complemented
86	#19098621	C₂²	1	2	yes	complemented
87	#19098621	C₂²	1	2	yes	complemented
88	#19098619	C₂²	1	2	yes	complemented
89	#19098617	C₂²	1	2	yes	complemented
90	#19098617	C₂²	1	2	yes	complemented
91	#19098615	C₂²	1	2	yes	complemented
92	#19098613	C₂²	1	2	yes	complemented
93	#19098613	C₂²	1	2	yes	complemented
94	#19098591	C₂²	1	1	yes	characteristic
95	#19098591	C₂²	1	1	yes	characteristic
96	#19098591	C₂²	1	1	yes	characteristic
97	#19098591	C₂²	1	1	yes	characteristic
98	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
99	#19098531	C₂²	1	1	yes	characteristic
100	#19098531	C₂²	1	1	yes	characteristic
101	C₂×C₂²⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
102	C₂×C₂²⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
103	#19098521	C₂²	1	1	yes	characteristic
104	#19098521	C₂²	1	1	yes	characteristic
105	#19098521	C₂²	1	1	yes	characteristic
106	#19098521	C₂²	1	1	yes	characteristic
107	#19098521	C₂²	1	1	yes	characteristic
108	#19098521	C₂²	1	1	yes	characteristic
109	#19098521	C₂²	1	1	yes	characteristic
110	#19098521	C₂²	1	1	yes	characteristic
111	#19098521	C₂²	1	2	yes	complemented
112	#19098521	C₂²	1	2	yes	complemented
113	#19098518	C₂²	1	2	yes	complemented
114	#19098518	C₂²	1	2	yes	complemented
115	#19098517	C₂²	1	2	yes	complemented
116	#19098517	C₂²	1	2	yes	complemented
117	#19098515	C₂²	1	2	yes	complemented
118	M₁₆×Dic₇₉	C₂²	1	2	yes	complemented
119	M₁₆×Dic₇₉	C₂²	1	2	yes	complemented
120	C₂×#14579072	C₂²	1	1	yes	characteristic
121	C₂×#14579071	C₂²	1	2	yes	complemented
122	#97×D₇₉	C₂²	1	2	yes	complemented
123	C₂×C₈×Dic₇₉	C₂²	1	2	yes	complemented
124	C₂²×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
125	C₂²×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
126	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
127	#436×C₇₉	C₂²	1	2	yes	—
128	#435×C₇₉	C₂²	1	2	yes	—
129	#435×C₇₉	C₂²	1	2	yes	—
130	C₈×D₄×C₇₉	C₂²	1	2	yes	—
131	#423×C₇₉	C₂²	1	1	yes	characteristic
132	#407×C₇₉	C₂²	1	1	yes	characteristic
133	#407×C₇₉	C₂²	1	1	yes	characteristic
134	C₄×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
135	C₂×#11929624	C₂³	1	1	yes	characteristic
136	C₂×#11929623	C₂×C₄	1	2	yes	—
137	#14579169	—	2	4	no	—
138	#14579169	—	2	4	no	—
139	C₂×#11929608	—	2	4	no	—
140	C₂×#11929608	C₂³	1	1	yes	characteristic
141	C₂×#11929608	C₂³	1	1	yes	characteristic
142	C₂×#11929608	C₂³	1	1	yes	characteristic
143	C₂×#11929608	C₂³	1	1	yes	characteristic
144	C₂×#11929607	C₂³	1	2	yes	—
145	C₂×#11929607	C₂³	1	2	yes	—
146	C₂²×C₇₉⋊C₈	—	2	4	no	—
147	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
148	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
149	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
150	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
152	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
153	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
154	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₇₉	C₂³	1	2	yes	—
156	C₂×C₈×D₇₉	C₂³	1	2	yes	—
157	#14579161	C₂×C₄	1	1	yes	characteristic
158	#14579161	C₂×C₄	1	1	yes	characteristic
159	#14579156	C₂×C₄	1	2	yes	—
160	#14579156	C₂×C₄	1	2	yes	—
161	#14579154	C₂×C₄	1	2	yes	—
162	#14579154	C₂×C₄	1	2	yes	—
163	#14579154	C₂×C₄	1	2	yes	—
164	#14579154	C₂×C₄	1	2	yes	—
165	#14579153	C₂×C₄	1	1	yes	characteristic
166	#14579153	C₂×C₄	1	1	yes	characteristic
167	#14579152	C₂×C₄	1	2	yes	—
168	#14579151	C₂×C₄	1	2	yes	—
169	#14579151	C₂×C₄	1	2	yes	—
170	#14579148	C₂×C₄	1	2	yes	—
171	#14579147	C₂×C₄	1	2	yes	—
172	#14579147	C₂×C₄	1	2	yes	—
173	#14579145	C₂×C₄	1	2	yes	—
174	#14579145	C₂×C₄	1	2	yes	—
175	#14579144	C₂×C₄	1	2	yes	—
176	#14579144	C₂×C₄	1	2	yes	—
177	#14579143	C₂×C₄	1	2	yes	—
178	#14579143	C₂×C₄	1	2	yes	—
179	#14579142	C₂×C₄	1	2	yes	—
180	#14579142	C₂×C₄	1	2	yes	—
181	#14579141	C₂×C₄	1	2	yes	—
182	#14579140	C₂×C₄	1	2	yes	—
183	#14579140	C₂×C₄	1	2	yes	—
184	#14579140	C₂×C₄	1	1	yes	characteristic
185	#14579140	C₂×C₄	1	1	yes	characteristic
186	#14579140	C₂×C₄	1	1	yes	characteristic
187	#14579140	C₂×C₄	1	1	yes	characteristic
188	#14579138	C₂×C₄	1	2	yes	—
189	#14579138	C₂×C₄	1	2	yes	—
190	#14579135	C₂×C₄	1	1	yes	characteristic
191	#14579135	C₂×C₄	1	1	yes	characteristic
192	#14579135	C₂×C₄	1	1	yes	characteristic
193	#14579135	C₂×C₄	1	1	yes	characteristic
194	#14579133	C₂×C₄	1	2	yes	—
195	#14579133	C₂×C₄	1	2	yes	—
196	#14579132	C₂×C₄	1	2	yes	—
197	#14579130	C₂×C₄	1	2	yes	—
198	#14579130	C₂×C₄	1	2	yes	—
199	C₄×Dic₁₅₈	C₂×C₄	1	1	yes	characteristic
200	C₄×Dic₁₅₈	C₂×C₄	1	1	yes	characteristic
201	C₄×Dic₁₅₈	C₂³	1	2	yes	—
202	C₄×Dic₁₅₈	C₂³	1	2	yes	—
203	#14579126	C₂×C₄	1	2	yes	—
204	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
205	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
206	D₄×Dic₇₉	C₂×C₄	1	2	yes	—
207	C₄×C₂²⋊D₇₉	C₂×C₄	1	2	yes	—
208	C₄×C₂²⋊D₇₉	C₂×C₄	1	2	yes	—
209	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
210	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
211	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
212	C₄×C₂²⋊D₇₉	C₂³	1	2	yes	—
213	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
214	(C₂²⋊D₇₉)⋊C₄	C₂×C₄	1	2	yes	—
215	#14579120	C₂×C₄	1	2	yes	—
216	#14579120	C₂×C₄	1	2	yes	—
217	#14579120	C₂×C₄	1	1	yes	characteristic
218	#14579120	C₂×C₄	1	1	yes	characteristic
219	#14579120	C₂×C₄	1	1	yes	characteristic
220	#14579120	C₂×C₄	1	1	yes	characteristic
221	#14579120	C₂³	1	1	yes	characteristic
222	#14579120	C₂³	1	2	yes	—
223	#14579120	C₂³	1	1	yes	characteristic
224	#14579120	C₂³	1	1	yes	characteristic
225	#14579120	C₂³	1	2	yes	—
226	#14579119	C₂×C₄	1	2	yes	—
227	#14579118	C₂³	1	2	yes	—
228	#14579117	C₂×C₄	1	2	yes	—
229	#14579117	C₂×C₄	1	2	yes	—
230	C₂×C₄⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₉	C₂×C₄	1	2	yes	—
235	C₂×C₂²⋊Dic₇₉	C₂×C₄	1	2	yes	—
236	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
237	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
238	C₄²×D₇₉	C₂³	1	2	yes	—
239	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
240	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
241	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
242	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
243	Dic₇₉⋊C₈	C₂³	1	2	yes	—
244	Dic₇₉⋊C₈	C₂³	1	2	yes	—
245	Dic₇₉⋊C₈	C₂³	1	2	yes	—
246	Dic₇₉⋊C₈	C₂³	1	2	yes	—
247	Dic₇₉⋊C₈	C₂³	1	2	yes	—
248	Dic₇₉⋊C₈	C₂³	1	2	yes	—
249	Dic₇₉⋊C₈	C₂³	1	2	yes	—
250	Dic₇₉⋊C₈	C₂³	1	2	yes	—
251	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
252	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
253	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
254	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
255	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
256	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
257	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
259	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
260	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
261	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
262	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
263	#14579072	C₂³	1	1	yes	characteristic
264	#14579072	C₂³	1	1	yes	characteristic
265	#14579072	C₂³	1	1	yes	characteristic
266	#14579072	C₂³	1	1	yes	characteristic
267	#14579071	C₂³	1	2	yes	—
268	#14579071	C₂³	1	2	yes	—
269	#14579071	C₂³	1	2	yes	—
270	#14579071	C₂³	1	2	yes	—
271	#14579071	C₂³	1	2	yes	—
272	#14579071	C₂³	1	2	yes	—
273	#14579071	C₂³	1	2	yes	—
274	#14579071	C₂³	1	2	yes	—
275	C₈×Dic₇₉	C₂³	1	2	yes	—
276	C₈×Dic₇₉	C₂³	1	2	yes	—
277	C₈×Dic₇₉	C₂³	1	2	yes	—
278	C₈×Dic₇₉	C₂³	1	2	yes	—
279	C₈×Dic₇₉	C₂³	1	2	yes	—
280	C₈×Dic₇₉	C₂³	1	2	yes	—
281	C₈×Dic₇₉	C₂³	1	2	yes	—
282	C₈×Dic₇₉	C₂³	1	2	yes	—
283	C₂²×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
284	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
286	C₂×M₁₆×C₇₉	—	2	4	no	—
287	C₂×M₁₆×C₇₉	—	2	4	no	—
288	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
289	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
290	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
291	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
292	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
293	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
294	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
295	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
296	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
297	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
298	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
299	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
300	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
301	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
302	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
303	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
307	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
308	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
309	C₄⋊C₈×C₇₉	C₂³	1	2	yes	—
310	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
311	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
312	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
313	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
314	#97×C₇₉	C₂³	1	2	yes	—
315	C₄×C₈×C₇₉	C₂³	1	2	yes	—
316	#11929624	—	2	2	no	—
317	#11929624	—	2	2	no	—
318	#11929623	—	4	4	no	—
319	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
320	C₂×Dic₁₅₈	C₂²×C₄	1	2	yes	—
321	C₂×Dic₁₅₈	C₂²×C₄	1	2	yes	—
322	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
323	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
324	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
325	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
326	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
327	C₂×C₂²⋊D₇₉	C₂²×C₄	1	2	yes	—
328	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
329	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
330	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
331	C₂²×Dic₇₉	C₂²×C₄	1	2	yes	—
332	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
333	C₂×C₄×D₇₉	C₂²×C₄	1	2	yes	—
334	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
335	#11929608	—	2	2	no	—
336	#11929608	—	2	2	no	—
337	#11929608	—	2	2	no	—
338	#11929608	—	2	2	no	—
339	#11929607	—	2	4	no	—
340	#11929607	—	2	4	no	—
341	C₂×C₇₉⋊C₈	—	2	2	no	—
342	C₂×C₇₉⋊C₈	—	2	2	no	—
343	C₂×C₇₉⋊C₈	—	2	2	no	—
344	C₂×C₇₉⋊C₈	—	2	2	no	—
345	C₂×C₇₉⋊C₈	—	2	2	no	—
346	C₂×C₇₉⋊C₈	—	2	2	no	—
347	C₂×C₇₉⋊C₈	—	2	2	no	—
348	C₂×C₇₉⋊C₈	#41	1	4	yes	complemented
349	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
350	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
351	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
352	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
353	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
354	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
355	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
356	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
357	C₈×D₇₉	—	2	4	no	—
358	C₈×D₇₉	—	2	4	no	—
359	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
360	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
361	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
362	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
363	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
364	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
365	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
366	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
367	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
368	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
369	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
370	C₄⋊Dic₇₉	C₂²×C₄	1	2	yes	—
371	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
372	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
373	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
374	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
375	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
376	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
377	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
378	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
379	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
380	Dic₇₉⋊C₄	C₂²×C₄	1	2	yes	—
381	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
382	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
383	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
384	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
385	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
386	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
387	C₂²⋊Dic₇₉	C₂²×C₄	1	2	yes	—
388	C₂²⋊Dic₇₉	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	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	2	yes	—
393	(C₂×D₇₉)⋊C₄	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	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
399	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
400	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
401	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
402	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
403	C₄×Dic₇₉	C₂²×C₄	1	2	yes	—
404	C₄×Dic₇₉	C₂⁴	1	2	yes	—
405	C₄×Dic₇₉	C₂⁴	1	2	yes	—
406	C₄×Dic₇₉	C₂⁴	1	2	yes	—
407	C₂⁴×C₇₉	C₂²×C₄	1	1	yes	characteristic
408	C₂⁴×C₇₉	C₂²×C₄	1	1	yes	characteristic
409	C₂×D₄×C₇₉	—	4	2	no	—
410	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
411	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
412	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
413	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
414	C₂²×C₄×C₇₉	—	2	2	no	—
415	C₂²×C₄×C₇₉	—	2	2	no	—
416	C₂²×C₄×C₇₉	—	2	2	no	—
417	C₂²×C₄×C₇₉	—	2	2	no	—
418	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
419	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
420	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
421	C₂²×C₄×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	C₂²×C₄	1	1	yes	characteristic
425	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
426	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
431	M₁₆×C₇₉	—	2	4	no	—
432	M₁₆×C₇₉	—	2	4	no	—
433	M₁₆×C₇₉	—	2	2	no	—
434	M₁₆×C₇₉	—	2	2	no	—
435	M₁₆×C₇₉	—	2	2	no	—
436	M₁₆×C₇₉	#41	1	4	yes	complemented
437	C₂×C₈×C₇₉	—	2	4	no	—
438	C₂×C₈×C₇₉	—	2	4	no	—
439	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
440	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
441	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
442	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
443	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
444	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
445	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
446	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
447	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
448	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
449	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
450	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
451	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
452	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
453	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
454	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
455	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
456	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
457	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
458	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
459	C₂³×C₇₉	—	2	2	no	—
460	C₂³×C₇₉	—	2	2	no	—
461	C₂³×C₇₉	—	2	2	no	—
462	C₂³×C₇₉	—	4	1	no	—
463	C₂³×C₇₉	—	4	1	no	—
464	C₂³×C₇₉	—	4	1	no	—
465	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
466	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
467	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
468	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
469	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
470	C₂²×D₇₉	C₂³×C₄	1	2	yes	—
471	D₄×C₇₉	—	2	2	no	—
472	D₄×C₇₉	—	2	2	no	—
473	D₄×C₇₉	—	4	1	no	—
474	D₄×C₇₉	—	4	1	no	—
475	C₂×C₄×C₇₉	—	2	2	no	—
476	C₂×C₄×C₇₉	—	2	2	no	—
477	C₂×C₄×C₇₉	—	2	2	no	—
478	C₂×C₄×C₇₉	—	2	2	no	—
479	C₂×C₄×C₇₉	—	2	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	1	no	—
484	C₂×C₄×C₇₉	—	2	1	no	—
485	C₂×C₄×C₇₉	—	2	1	no	—
486	C₂×C₄×C₇₉	—	2	1	no	—
487	C₂×C₄×C₇₉	—	2	1	no	—
488	C₂×C₄×C₇₉	—	2	1	no	—
489	C₂×C₄×C₇₉	—	4	1	no	—
490	C₂×C₄×C₇₉	—	4	1	no	—
491	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
492	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
493	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
494	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
495	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
496	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
497	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
498	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
499	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
500	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
501	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
502	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
503	C₂²⋊D₇₉	—	2	4	no	—
504	C₂²⋊D₇₉	—	2	4	no	—
505	C₂²⋊D₇₉	—	4	2	no	—
506	C₂²⋊D₇₉	—	4	2	no	—
507	C₂²⋊D₇₉	—	4	2	no	—
508	C₂×Dic₇₉	—	2	4	no	—
509	C₂×Dic₇₉	—	4	2	no	—
510	C₂×Dic₇₉	—	4	2	no	—
511	C₂×Dic₇₉	—	4	2	no	—
512	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
513	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
514	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
515	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
516	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
517	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
518	C₂×Dic₇₉	C₂³×C₄	1	2	yes	—
519	D₃₁₆	—	2	2	no	—
520	C₄×D₇₉	—	2	2	no	—
521	C₄×D₇₉	—	2	2	no	—
522	C₄×D₇₉	—	4	2	no	—
523	C₄×D₇₉	—	4	2	no	—
524	Dic₁₅₈	—	2	2	no	—
525	Dic₁₅₈	—	4	2	no	—
526	Dic₁₅₈	—	4	2	no	—
527	C₈×C₇₉	—	2	2	no	—
528	C₈×C₇₉	—	2	2	no	—
529	C₈×C₇₉	—	2	2	no	—
530	C₈×C₇₉	C₂×#41	1	4	yes	—
531	C₇₉⋊C₈	—	2	1	no	—
532	C₇₉⋊C₈	—	2	1	no	—
533	C₇₉⋊C₈	—	2	1	no	—
534	C₇₉⋊C₈	—	2	1	no	—
535	C₇₉⋊C₈	—	2	1	no	—
536	C₇₉⋊C₈	—	2	1	no	—
537	C₇₉⋊C₈	C₂×#41	1	2	yes	—
538	C₇₉⋊C₈	C₂×#41	1	2	yes	—
539	C₂²×C₇₉	—	2	1	no	—
540	C₂²×C₇₉	—	2	1	no	—
541	C₂²×C₇₉	—	2	1	no	—
542	C₂²×C₇₉	—	2	1	no	—
543	C₂²×C₇₉	—	2	1	no	—
544	C₂²×C₇₉	—	2	1	no	—
545	C₂²×C₇₉	—	2	1	no	—
546	C₂²×C₇₉	—	2	1	no	—
547	C₂²×C₇₉	—	2	1	no	—
548	C₂²×C₇₉	—	2	1	no	—
549	C₂²×C₇₉	—	2	1	no	—
550	C₂²×C₇₉	—	2	1	no	—
551	C₂²×C₇₉	—	2	1	no	—
552	C₂²×C₇₉	—	4	4	no	—
553	C₂²×C₇₉	—	8	2	no	—
554	C₂²×C₇₉	C₄×#41	1	2	yes	—
555	C₂²×C₇₉	#568	1	2	yes	—
556	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
557	C₂×D₇₉	—	2	2	no	—
558	C₂×D₇₉	—	2	2	no	—
559	C₂×D₇₉	—	2	2	no	—
560	C₄×C₇₉	—	2	1	no	—
561	C₄×C₇₉	—	2	1	no	—
562	C₄×C₇₉	—	2	1	no	—
563	C₄×C₇₉	—	2	1	no	—
564	C₄×C₇₉	—	2	1	no	—
565	C₄×C₇₉	—	2	1	no	—
566	C₄×C₇₉	—	2	1	no	—
567	C₄×C₇₉	—	2	1	no	—
568	C₄×C₇₉	C₄×#41	1	2	yes	—
569	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
570	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
571	Dic₇₉	—	2	2	no	—
572	Dic₇₉	—	2	2	no	—
573	Dic₇₉	—	2	2	no	—
574	Dic₇₉	—	2	2	no	—
575	Dic₇₉	—	2	2	no	—
576	Dic₇₉	—	2	2	no	—
577	Dic₇₉	—	2	2	no	—
578	#60216	—	79	1	no	maximal, Sylow
579	C₂×C₇₉	—	2	2	no	—
580	C₂×C₇₉	—	2	2	no	—
581	C₂×C₇₉	—	4	1	no	—
582	C₂×C₇₉	—	4	1	no	—
583	C₂×C₇₉	—	4	1	no	—
584	C₂×C₇₉	C₂×C₄×#41	1	1	yes	characteristic
585	C₂×C₇₉	C₂×#568	1	1	yes	characteristic
586	C₂×C₇₉	#3573	1	1	yes	characteristic
587	D₇₉	—	4	2	no	—
588	#3475	—	79	1	no	—
589	#2970	—	79	2	no	—
590	#2969	—	79	2	no	—
591	#2968	—	79	2	no	—
592	#2968	—	79	2	no	—
593	#2967	—	79	2	no	—
594	#2967	—	79	2	no	—
595	#2966	—	79	2	no	—
596	#2965	—	79	2	no	—
597	#2962	—	79	1	no	—
598	#2961	—	79	1	no	—
599	D₄×M₁₆	D₇₉	1	1	yes	characteristic, complemented
600	#2933	—	79	1	no	—
601	#2933	—	79	1	no	—
602	#2930	—	79	1	no	—
603	#2929	—	79	1	no	—
604	C₂×#435	—	79	1	no	—
605	#2925	—	79	1	no	—
606	#2924	—	79	1	no	—
607	#2924	—	79	1	no	—
608	#2875	—	79	1	no	—
609	#2873	—	79	1	no	—
610	C₂×#405	—	79	1	no	—
611	C₇₉	#60216	1	1	yes	characteristic, complemented, Sylow
612	C₂×#131	—	79	1	no	—
613	C₂×#131	—	79	1	no	—
614	C₂²×M₁₆	—	79	1	no	—
615	C₂²×M₁₆	C₂×D₇₉	1	1	yes	characteristic
616	C₂²×M₁₆	C₂×D₇₉	1	1	yes	characteristic
617	C₂³×C₈	—	79	1	no	—
618	#556	—	79	1	no	—
619	#555	—	79	1	no	—
620	#554	—	79	1	no	—
621	#553	—	79	1	no	—
622	#553	—	79	1	no	—
623	#552	—	79	1	no	—
624	#552	—	79	1	no	—
625	#552	—	79	2	no	—
626	#551	—	79	2	no	—
627	#551	—	79	2	no	—
628	#547	—	79	1	no	—
629	#546	—	79	2	no	—
630	#533	—	79	1	no	—
631	#529	—	79	2	no	—
632	#529	—	79	2	no	—
633	#529	—	79	2	no	—
634	#525	—	79	1	no	—
635	#525	—	79	1	no	—
636	C₄×#41	—	79	2	no	—
637	C₄×#41	—	79	1	no	—
638	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
639	C₂×#117	—	79	1	no	—
640	C₂×#117	—	79	1	no	—
641	#446	—	79	2	no	—
642	#446	—	79	2	no	—
643	#446	—	79	2	no	—
644	#446	—	79	2	no	—
645	#446	—	79	2	no	—
646	#446	—	79	2	no	—
647	#446	—	79	2	no	—
648	C₈×Q₈	—	79	2	no	—
649	#436	—	79	2	no	—
650	#436	—	79	2	no	—
651	#436	—	79	2	no	—
652	#436	—	79	2	no	—
653	#436	C₂×D₇₉	1	2	yes	—
654	#435	—	79	2	no	—
655	#435	—	79	2	no	—
656	#435	—	79	2	no	—
657	#435	—	79	2	no	—
658	#435	—	79	1	no	—
659	#435	—	79	1	no	—
660	#435	—	79	1	no	—
661	#435	—	79	1	no	—
662	#435	—	79	1	no	—
663	#435	—	79	1	no	—
664	#435	—	79	1	no	—
665	#435	—	79	1	no	—
666	#435	—	79	2	no	—
667	#435	—	79	2	no	—
668	#435	—	79	2	no	—
669	#435	—	79	2	no	—
670	#435	C₂×D₇₉	1	2	yes	—
671	#435	C₂×D₇₉	1	2	yes	—
672	C₈×D₄	—	79	2	no	—
673	C₈×D₄	—	79	2	no	—
674	C₈×D₄	—	79	2	no	—
675	C₈×D₄	—	79	2	no	—
676	C₈×D₄	C₂×D₇₉	1	2	yes	—
677	#433	—	79	2	no	—
678	#433	—	79	2	no	—
679	#433	—	79	2	no	—
680	#433	—	79	2	no	—
681	#433	—	79	2	no	—
682	#433	—	79	2	no	—
683	#432	—	79	2	no	—
684	#432	—	79	2	no	—
685	#432	—	79	2	no	—
686	#431	—	79	2	no	—
687	#431	—	79	2	no	—
688	#431	—	79	2	no	—
689	#424	—	79	1	no	—
690	#424	—	79	1	no	—
691	#424	—	79	1	no	—
692	#424	—	79	1	no	—
693	#423	C₂×D₇₉	1	1	yes	characteristic
694	C₂×C₄⋊C₈	—	79	1	no	—
695	#408	—	79	1	no	—
696	#408	—	79	1	no	—
697	#407	C₂×D₇₉	1	1	yes	characteristic
698	#407	C₂×D₇₉	1	1	yes	characteristic
699	C₂×C₂²⋊C₈	—	79	1	no	—
700	C₂×C₂²⋊C₈	—	79	1	no	—
701	#405	—	79	1	no	—
702	#405	—	79	1	no	—
703	#405	—	79	1	no	—
704	#405	—	79	1	no	—
705	#405	—	79	2	no	—
706	#405	—	79	2	no	—
707	#405	—	79	1	no	—
708	#405	—	79	1	no	—
709	#405	—	79	1	no	—
710	#405	—	79	1	no	—
711	#405	—	79	2	no	—
712	#405	—	79	2	no	—
713	#405	—	79	2	no	—
714	#405	—	79	2	no	—
715	C₄×M₁₆	—	79	2	no	—
716	C₄×M₁₆	—	79	2	no	—
717	C₄×M₁₆	—	79	2	no	—
718	C₄×M₁₆	C₂×D₇₉	1	1	yes	characteristic
719	C₂×#97	—	79	2	no	—
720	C₂×#97	—	79	1	no	—
721	C₂×#97	—	79	2	no	—
722	C₂×C₄×C₈	—	79	2	no	—
723	C₂×#41	—	79	2	no	—
724	C₂×#41	—	79	1	no	—
725	C₂²×D₄	C₄×D₇₉	1	1	yes	characteristic
726	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
727	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
728	#131	—	158	4	no	—
729	#131	—	158	4	no	—
730	C₂×M₁₆	—	2	4	no	—
731	C₂×M₁₆	—	2	4	no	—
732	C₂×M₁₆	—	79	1	no	—
733	C₂×M₁₆	—	79	1	no	—
734	C₂×M₁₆	—	79	1	no	—
735	C₂×M₁₆	—	79	1	no	—
736	C₂×M₁₆	—	79	2	no	—
737	C₂×M₁₆	—	79	2	no	—
738	C₂×M₁₆	—	158	4	no	—
739	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
740	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
741	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
742	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
743	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
744	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
745	C₂²×C₈	—	79	1	no	—
746	C₂²×C₈	—	79	1	no	—
747	C₂²×C₈	—	79	1	no	—
748	C₂²×C₈	—	79	1	no	—
749	C₂²×C₈	—	79	1	no	—
750	C₂²×C₈	—	79	1	no	—
751	C₂²×C₈	—	79	1	no	—
752	C₂²×C₈	—	79	1	no	—
753	C₂²×C₈	—	79	2	no	—
754	C₂²×C₈	—	79	2	no	—
755	C₂²×C₈	—	158	4	no	—
756	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
757	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
758	C₄⋊Q₈	—	79	1	no	—
759	C₄⋊Q₈	—	79	1	no	—
760	#126	—	79	2	no	—
761	#126	—	79	2	no	—
762	#126	—	79	2	no	—
763	#126	—	79	2	no	—
764	#126	—	79	2	no	—
765	#126	—	79	2	no	—
766	#125	—	79	2	no	—
767	#125	—	79	2	no	—
768	#125	—	79	2	no	—
769	#125	—	79	1	no	—
770	#125	—	79	1	no	—
771	#124	—	79	2	no	—
772	#124	—	79	2	no	—
773	#124	—	79	2	no	—
774	#123	—	79	2	no	—
775	#123	—	79	2	no	—
776	#123	—	79	2	no	—
777	#123	—	79	2	no	—
778	#123	—	79	2	no	—
779	#123	—	79	2	no	—
780	#123	—	79	2	no	—
781	#123	—	79	2	no	—
782	C₂²⋊Q₈	—	79	1	no	—
783	C₂²⋊Q₈	—	79	1	no	—
784	C₂²⋊Q₈	—	79	1	no	—
785	C₂²⋊Q₈	—	79	1	no	—
786	C₂²⋊Q₈	—	79	2	no	—
787	C₂²⋊Q₈	—	79	2	no	—
788	C₂²⋊Q₈	—	79	2	no	—
789	C₂²⋊Q₈	—	79	2	no	—
790	C₂²⋊Q₈	—	79	2	no	—
791	#121	—	79	2	no	—
792	#121	—	79	2	no	—
793	#121	—	79	2	no	—
794	#121	—	79	1	no	—
795	#121	—	79	1	no	—
796	#121	—	79	1	no	—
797	#121	—	79	1	no	—
798	#120	—	79	2	no	—
799	#120	—	79	2	no	—
800	C₄×Q₈	—	79	2	no	—
801	C₄×Q₈	—	79	1	no	—
802	C₄×Q₈	—	79	1	no	—
803	C₄×Q₈	—	79	2	no	—
804	C₄×Q₈	—	79	2	no	—
805	C₄×D₄	—	79	2	no	—
806	C₄×D₄	—	79	2	no	—
807	C₄×D₄	—	79	2	no	—
808	C₄×D₄	—	79	2	no	—
809	C₄×D₄	—	79	2	no	—
810	C₄×D₄	—	79	2	no	—
811	C₄×D₄	—	79	2	no	—
812	C₄×D₄	—	79	2	no	—
813	C₄×D₄	—	79	2	no	—
814	C₄×D₄	—	79	1	no	—
815	C₄×D₄	—	79	1	no	—
816	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
817	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
818	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
819	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
820	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
821	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
822	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
823	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
824	#117	—	79	2	no	—
825	#117	—	79	2	no	—
826	#117	—	79	1	no	—
827	#117	—	79	1	no	—
828	#117	—	79	1	no	—
829	#117	—	79	1	no	—
830	#117	—	79	1	no	—
831	#117	—	79	1	no	—
832	#117	—	79	1	no	—
833	#117	—	79	2	no	—
834	#117	—	79	2	no	—
835	#117	—	79	2	no	—
836	#117	—	79	2	no	—
837	#117	—	79	2	no	—
838	#117	—	79	2	no	—
839	C₂×C₄⋊C₄	—	79	1	no	—
840	C₂×C₄⋊C₄	—	79	1	no	—
841	C₂×C₄⋊C₄	—	79	1	no	—
842	C₂×C₄⋊C₄	—	79	1	no	—
843	C₂×C₄⋊C₄	C₄×D₇₉	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	79	2	no	—
845	C₂×C₂²⋊C₄	—	79	2	no	—
846	C₂×C₂²⋊C₄	C₄×D₇₉	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₄×D₇₉	1	1	yes	characteristic
848	C₂×C₄²	—	79	2	no	—
849	C₂×C₄²	—	79	2	no	—
850	C₂×C₄²	—	79	2	no	—
851	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
852	C₄⋊C₈	—	79	2	no	—
853	C₄⋊C₈	—	79	2	no	—
854	C₄⋊C₈	—	79	2	no	—
855	C₄⋊C₈	—	79	2	no	—
856	C₄⋊C₈	—	79	2	no	—
857	C₄⋊C₈	—	79	2	no	—
858	C₄⋊C₈	—	79	2	no	—
859	C₄⋊C₈	—	79	2	no	—
860	C₄⋊C₈	—	79	1	no	—
861	C₄⋊C₈	—	79	1	no	—
862	C₄⋊C₈	—	79	1	no	—
863	C₄⋊C₈	—	79	1	no	—
864	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
865	C₄⋊C₈	C₂²×D₇₉	1	2	yes	—
866	C₂²⋊C₈	—	79	1	no	—
867	C₂²⋊C₈	—	79	1	no	—
868	C₂²⋊C₈	—	79	1	no	—
869	C₂²⋊C₈	—	79	1	no	—
870	C₂²⋊C₈	—	79	1	no	—
871	C₂²⋊C₈	—	79	1	no	—
872	C₂²⋊C₈	—	79	1	no	—
873	C₂²⋊C₈	—	79	1	no	—
874	C₂²⋊C₈	—	79	2	no	—
875	C₂²⋊C₈	—	79	2	no	—
876	C₂²⋊C₈	—	79	2	no	—
877	C₂²⋊C₈	—	79	2	no	—
878	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
879	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
880	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
881	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
882	#97	—	79	2	no	—
883	#97	—	79	2	no	—
884	#97	—	79	2	no	—
885	#97	—	79	2	no	—
886	#97	—	79	2	no	—
887	#97	—	79	2	no	—
888	#97	—	79	2	no	—
889	#97	—	79	2	no	—
890	#97	—	79	1	no	—
891	#97	—	79	1	no	—
892	#97	—	79	1	no	—
893	#97	—	79	1	no	—
894	#97	C₂²×D₇₉	1	2	yes	—
895	C₄×C₈	—	79	2	no	—
896	C₄×C₈	—	79	2	no	—
897	C₄×C₈	—	79	2	no	—
898	C₄×C₈	—	79	2	no	—
899	C₄×C₈	—	79	2	no	—
900	C₄×C₈	—	79	2	no	—
901	C₄×C₈	—	79	2	no	—
902	C₄×C₈	—	79	2	no	—
903	C₄×C₈	C₂²×D₇₉	1	2	yes	—
904	C₂⁴	C₂×C₄×D₇₉	1	1	yes	characteristic
905	C₂⁴	C₂×C₄×D₇₉	1	1	yes	characteristic
906	#41	—	316	4	no	—
907	#41	—	158	2	no	—
908	#41	—	158	2	no	—
909	C₂×Q₈	—	79	2	no	—
910	C₂×Q₈	—	79	2	no	—
911	C₂×Q₈	—	79	1	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	79	2	no	—
914	C₂×D₄	—	79	2	no	—
915	C₂×D₄	—	79	2	no	—
916	C₂×D₄	—	79	2	no	—
917	C₂×D₄	—	79	2	no	—
918	C₂×D₄	—	79	1	no	—
919	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
920	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
921	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
922	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	79	2	no	—
928	C₂²×C₄	—	79	2	no	—
929	C₂²×C₄	—	79	2	no	—
930	C₂²×C₄	—	79	2	no	—
931	C₂²×C₄	—	79	2	no	—
932	C₂²×C₄	—	79	2	no	—
933	C₂²×C₄	—	79	2	no	—
934	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
935	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
936	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
937	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
938	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
939	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
940	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
941	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
942	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
943	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
944	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
945	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
946	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
947	M₁₆	—	2	2	no	—
948	M₁₆	—	2	2	no	—
949	M₁₆	—	2	2	no	—
950	M₁₆	—	2	4	no	—
951	M₁₆	—	2	4	no	—
952	M₁₆	—	158	4	no	—
953	M₁₆	—	158	2	no	—
954	M₁₆	—	158	2	no	—
955	M₁₆	—	158	2	no	—
956	M₁₆	—	158	2	no	—
957	M₁₆	—	158	4	no	—
958	M₁₆	#11929623	1	4	yes	complemented
959	C₂×C₈	—	2	4	no	—
960	C₂×C₈	—	2	4	no	—
961	C₂×C₈	—	79	4	no	—
962	C₂×C₈	—	79	1	no	—
963	C₂×C₈	—	79	1	no	—
964	C₂×C₈	—	79	1	no	—
965	C₂×C₈	—	79	1	no	—
966	C₂×C₈	—	79	1	no	—
967	C₂×C₈	—	79	1	no	—
968	C₂×C₈	—	79	1	no	—
969	C₂×C₈	—	79	1	no	—
970	C₂×C₈	—	158	4	no	—
971	C₂×C₈	—	158	2	no	—
972	C₂×C₈	—	158	2	no	—
973	C₂×C₈	—	158	2	no	—
974	C₂×C₈	—	158	2	no	—
975	C₂×C₈	—	158	2	no	—
976	C₂×C₈	—	158	2	no	—
977	C₂×C₈	—	158	2	no	—
978	C₂×C₈	—	158	4	no	—
979	C₂×C₈	C₂³×D₇₉	1	2	yes	—
980	C₂×C₈	C₂³×D₇₉	1	2	yes	—
981	C₂×C₈	C₂³×D₇₉	1	2	yes	—
982	C₂×C₈	C₂³×D₇₉	1	2	yes	—
983	C₄⋊C₄	—	79	2	no	—
984	C₄⋊C₄	—	79	2	no	—
985	C₄⋊C₄	—	79	2	no	—
986	C₄⋊C₄	—	79	2	no	—
987	C₄⋊C₄	—	79	2	no	—
988	C₄⋊C₄	—	79	2	no	—
989	C₄⋊C₄	—	79	2	no	—
990	C₄⋊C₄	—	79	2	no	—
991	C₄⋊C₄	—	79	2	no	—
992	C₄⋊C₄	—	79	2	no	—
993	C₄⋊C₄	—	79	1	no	—
994	C₄⋊C₄	—	79	1	no	—
995	C₄⋊C₄	—	79	1	no	—
996	C₄⋊C₄	—	79	1	no	—
997	C₄⋊C₄	—	79	1	no	—
998	C₄⋊C₄	—	79	1	no	—
999	C₄⋊C₄	—	79	2	no	—
1000	C₄⋊C₄	—	79	2	no	—
1001	C₄⋊C₄	—	79	2	no	—
1002	C₄⋊C₄	—	79	2	no	—
1003	C₄⋊C₄	—	79	2	no	—
1004	C₄⋊C₄	—	79	2	no	—
1005	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1008	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1009	C₂²⋊C₄	—	79	2	no	—
1010	C₂²⋊C₄	—	79	2	no	—
1011	C₂²⋊C₄	—	79	2	no	—
1012	C₂²⋊C₄	—	79	2	no	—
1013	C₂²⋊C₄	—	79	2	no	—
1014	C₂²⋊C₄	—	79	2	no	—
1015	C₂²⋊C₄	—	79	2	no	—
1016	C₂²⋊C₄	—	79	2	no	—
1017	C₂²⋊C₄	—	79	2	no	—
1018	C₂²⋊C₄	—	79	2	no	—
1019	C₂²⋊C₄	—	79	2	no	—
1020	C₂²⋊C₄	—	79	2	no	—
1021	C₂²⋊C₄	—	79	2	no	—
1022	C₂²⋊C₄	—	79	2	no	—
1023	C₂²⋊C₄	—	79	2	no	—
1024	C₂²⋊C₄	—	79	2	no	—
1025	C₂²⋊C₄	—	79	2	no	—
1026	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1027	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1028	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1029	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1030	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1031	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1032	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1033	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1034	C₄²	—	79	2	no	—
1035	C₄²	—	79	2	no	—
1036	C₄²	—	79	2	no	—
1037	C₄²	—	79	2	no	—
1038	C₄²	—	79	2	no	—
1039	C₄²	—	79	2	no	—
1040	C₄²	—	79	2	no	—
1041	C₄²	—	79	2	no	—
1042	C₄²	—	79	2	no	—
1043	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1044	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1045	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1046	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	4	1	no	—
1051	C₂³	—	4	1	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	—	79	2	no	—
1054	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1055	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1056	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1057	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1058	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1059	Q₈	—	316	2	no	—
1060	Q₈	—	316	2	no	—
1061	Q₈	—	158	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	4	1	no	—
1065	D₄	—	4	1	no	—
1066	D₄	—	316	2	no	—
1067	D₄	—	316	2	no	—
1068	D₄	—	316	2	no	—
1069	D₄	—	158	4	no	—
1070	D₄	—	158	4	no	—
1071	D₄	—	158	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	316	2	no	—
1089	C₂×C₄	—	316	2	no	—
1090	C₂×C₄	—	316	2	no	—
1091	C₂×C₄	—	316	2	no	—
1092	C₂×C₄	—	316	2	no	—
1093	C₂×C₄	—	79	2	no	—
1094	C₂×C₄	—	79	2	no	—
1095	C₂×C₄	—	79	2	no	—
1096	C₂×C₄	—	79	2	no	—
1097	C₂×C₄	—	79	2	no	—
1098	C₂×C₄	—	79	2	no	—
1099	C₂×C₄	—	79	2	no	—
1100	C₂×C₄	—	158	4	no	—
1101	C₂×C₄	—	158	2	no	—
1102	C₂×C₄	—	158	2	no	—
1103	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1104	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1105	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1106	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1108	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1110	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1112	C₂×C₄	#41×D₇₉	1	2	yes	—
1113	C₂×C₄	C₂×#11929623	1	2	yes	—
1114	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1115	C₈	—	2	2	no	—
1116	C₈	—	2	2	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	79	2	no	—
1119	C₈	—	79	2	no	—
1120	C₈	—	158	1	no	—
1121	C₈	—	158	1	no	—
1122	C₈	—	158	1	no	—
1123	C₈	—	158	1	no	—
1124	C₈	—	158	1	no	—
1125	C₈	—	158	1	no	—
1126	C₈	C₂×#11929623	1	4	yes	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	4	4	no	—
1141	C₂²	—	8	2	no	—
1142	C₂²	—	158	2	no	—
1143	C₂²	—	158	2	no	—
1144	C₂²	—	158	2	no	—
1145	C₂²	C₄×#11929623	1	2	yes	—
1146	C₂²	#19099329	1	2	yes	—
1147	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1148	C₄	—	2	1	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	158	2	no	—
1157	C₄	—	158	2	no	—
1158	C₄	—	158	2	no	—
1159	C₄	—	158	2	no	—
1160	C₄	—	158	2	no	—
1161	C₄	—	158	2	no	—
1162	C₄	—	158	2	no	—
1163	C₄	C₄×#11929623	1	2	yes	—
1164	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1165	C₄	C₂²×#11929623	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	1	no	—
1171	C₂	—	316	2	no	—
1172	C₂	C₂×C₄×#11929623	1	1	yes	characteristic
1173	C₂	C₂×#19099329	1	1	yes	characteristic
1174	C₂	#23778113	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₉
commutator, socle	C₂²×C₇₉	C₂⁴×C₄
Fitting	D₄×M₁₆×C₇₉	C₂
prime radical	#23776958	C₂
cosocle	C₂×C₄×C₇₉	C₂⁵
hypercenter	D₄×M₁₆	D₇₉
hypocenter	C₇₉	#60216
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. #23772410	C₂	semidirect
3. #23772399	C₂	semidirect
4. #23772391	C₂	semidirect
5. #23772388	C₂	semidirect
6. #23772386	C₂	semidirect
7. #23772382	C₂	semidirect
8. #23772368	C₂	semidirect
9. #23772360	C₂	semidirect
10. #23772347	C₂	semidirect
11. #23772337	C₂	semidirect
12. #23772125	C₂	semidirect
13. #23772125	C₂	semidirect
14. #23772099	C₂	semidirect
15. #23772090	C₂	semidirect
16. C₂×#19098635	C₂	semidirect
17. #23772068	C₂	semidirect
18. #23772060	C₂	semidirect
19. #23772060	C₂	semidirect
20. #23771829	C₂	semidirect
21. #23771818	C₂	semidirect
22. C₂×#19098521	C₂	semidirect
23. D₄×M₁₆×C₇₉	C₂	semidirect
50. #19098693	C₂²	semidirect
51. #19098692	C₂²	semidirect
52. #19098692	C₂²	semidirect
53. #19098692	C₂²	semidirect
54. #19098692	C₂²	semidirect
55. #19098691	C₂²	semidirect
56. #19098691	C₂²	semidirect
57. C₈×Dic₁₅₈	C₂²	semidirect
58. #19098639	C₂²	semidirect
59. #19098639	C₂²	semidirect
60. #19098638	C₂²	semidirect
61. #19098638	C₂²	semidirect
62. #19098637	C₂²	semidirect
63. #19098637	C₂²	semidirect
72. #19098634	C₂²	semidirect
73. #19098634	C₂²	semidirect
74. #19098632	C₂²	semidirect
75. #19098632	C₂²	semidirect
76. #19098631	C₂²	semidirect
77. #19098631	C₂²	semidirect
78. C₈×C₂²⋊D₇₉	C₂²	semidirect
79. C₈×C₂²⋊D₇₉	C₂²	semidirect
80. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
81. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
82. #19098623	C₂²	semidirect
83. #19098623	C₂²	semidirect
84. #19098621	C₂²	semidirect
85. #19098621	C₂²	semidirect
86. #19098621	C₂²	semidirect
87. #19098621	C₂²	semidirect
88. #19098619	C₂²	semidirect
89. #19098617	C₂²	semidirect
90. #19098617	C₂²	semidirect
91. #19098615	C₂²	semidirect
92. #19098613	C₂²	semidirect
93. #19098613	C₂²	semidirect
111. #19098521	C₂²	semidirect
112. #19098521	C₂²	semidirect
113. #19098518	C₂²	semidirect
114. #19098518	C₂²	semidirect
115. #19098517	C₂²	semidirect
116. #19098517	C₂²	semidirect
117. #19098515	C₂²	semidirect
118. M₁₆×Dic₇₉	C₂²	semidirect
119. M₁₆×Dic₇₉	C₂²	semidirect
121. C₂×#14579071	C₂²	semidirect
122. #97×D₇₉	C₂²	semidirect
123. C₂×C₈×Dic₇₉	C₂²	semidirect
348. C₂×C₇₉⋊C₈	#41	semidirect
436. M₁₆×C₇₉	#41	semidirect
599. D₄×M₁₆	D₇₉	semidirect
611. C₇₉	#60216	semidirect
958. M₁₆	#11929623	semidirect

Maximal subgroups

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

subgroup	index
#23776958	2
#23772410	2
#23772399	2
#23772391	2
#23772388	2
#23772386	2
#23772382	2
#23772368	2
#23772360	2
#23772347	2
#23772337	2
#23772125	2
#23772099	2
#23772090	2
C₂×#19098635	2
#23772068	2
#23772060	2
#23771829	2
#23771818	2
C₂×#19098521	2
D₄×M₁₆×C₇₉	2
#60216	79