Subgroups — C₂×#23777240 #35196198

Order 20224.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777240	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099266	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099266	C₂	1	2	yes	maximal, complemented
4	C₂×#19099264	C₂	1	2	yes	maximal, complemented
5	C₂×#19099257	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099248	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099237	C₂	1	2	yes	maximal, complemented
8	C₂×#19099236	C₂	1	2	yes	maximal, complemented
9	C₂×#19099225	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099223	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099209	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099204	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099161	C₂	1	2	yes	maximal, complemented
14	C₂×#19099152	C₂	1	2	yes	maximal, complemented
15	C₂×#19099124	C₂	1	2	yes	maximal, complemented
16	C₂×#19099100	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#19099098	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099075	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₂²⋊Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#14579136	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099037	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#552×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
27	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
28	C₂³×D₃₁₆	C₂²	1	2	yes	—
29	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
33	#19099266	C₂²	1	32	yes	complemented
34	#19099266	C₂²	1	16	yes	complemented
35	#19099264	C₂²	1	32	yes	complemented
36	#19099257	C₂²	1	16	yes	complemented
37	#19099248	C₂²	1	16	yes	complemented
38	#19099237	C₂²	1	32	yes	complemented
39	#19099236	C₂²	1	32	yes	complemented
40	#19099225	C₂²	1	16	yes	complemented
41	#19099223	C₂²	1	16	yes	complemented
42	#19099209	C₂²	1	16	yes	complemented
43	#19099204	C₂²	1	16	yes	complemented
44	#19099161	C₂²	1	32	yes	complemented
45	#19099152	C₂²	1	32	yes	complemented
46	#19099124	C₂²	1	32	yes	complemented
47	#19099100	C₂²	1	16	yes	complemented
48	#19099098	C₂²	1	16	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579156	C₂²	1	2	yes	complemented
51	C₂×#14579156	C₂²	1	2	yes	complemented
52	C₂×#14579156	C₂²	1	2	yes	complemented
53	C₂×#14579155	C₂²	1	2	yes	complemented
54	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
55	C₂×#14579151	C₂²	1	2	yes	complemented
56	C₂×#14579150	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14579149	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579149	C₂²	1	2	yes	complemented
59	C₂×#14579147	C₂²	1	2	yes	complemented
60	#19099076	C₂²	1	16	yes	complemented
61	#19099075	C₂²	1	16	yes	complemented
62	C₂×#14579146	C₂²	1	2	yes	complemented
63	C₂×#14579146	C₂²	1	2	yes	complemented
64	C₂×#14579146	C₂²	1	2	yes	complemented
65	C₂×#14579146	C₂²	1	2	yes	complemented
66	C₂×#14579146	C₂²	1	2	yes	complemented
67	C₂×#14579146	C₂²	1	2	yes	complemented
68	C₂×#14579145	C₂²	1	2	yes	complemented
69	C₂×#14579144	C₂²	1	2	yes	—
70	C₂×#14579143	C₂²	1	2	yes	complemented
71	C₂×#14579141	C₂²	1	2	yes	complemented
72	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14579139	C₂²	1	2	yes	complemented
76	C₂×#14579139	C₂²	1	2	yes	complemented
77	C₂×#14579138	C₂²	1	2	yes	complemented
78	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
79	C₂²⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
80	C₂×#14579136	C₂²	1	1	yes	characteristic
81	C₂×#14579136	C₂²	1	1	yes	characteristic
82	C₂×#14579136	C₂²	1	2	yes	—
83	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14579136	C₂²	1	2	yes	complemented
85	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14579136	C₂²	1	2	yes	complemented
88	C₂×#14579136	C₂²	1	2	yes	complemented
89	C₂×#14579136	C₂²	1	2	yes	complemented
90	C₂×#14579136	C₂²	1	16	yes	complemented
91	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14579134	C₂²	1	2	yes	complemented
93	C₂×#14579134	C₂²	1	2	yes	complemented
94	C₂×#14579134	C₂²	1	2	yes	complemented
95	C₂×#14579131	C₂²	1	2	yes	—
96	C₂×#14579131	C₂²	1	2	yes	complemented
97	C₂×#14579131	C₂²	1	2	yes	complemented
98	C₂×#14579129	C₂²	1	2	yes	—
99	#19099037	C₂²	1	32	yes	complemented
100	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
103	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
104	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
105	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
106	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
108	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
109	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
110	C₂×#14579123	C₂²	1	2	yes	complemented
111	C₂×#14579123	C₂²	1	2	yes	complemented
112	C₂×#14579123	C₂²	1	2	yes	complemented
113	C₂×#14579123	C₂²	1	2	yes	complemented
114	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
116	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
117	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
118	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
120	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
121	C₂×#14579120	C₂²	1	2	yes	complemented
122	C₂×#14579119	C₂²	1	2	yes	complemented
123	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14579118	C₂²	1	2	yes	complemented
125	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
128	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	#552×C₇₉	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
137	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×#125×C₇₉	C₂²	1	2	yes	complemented
139	C₂×#123×C₇₉	C₂²	1	2	yes	—
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
144	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
145	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
149	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
150	C₂×#11929625	—	4	4	no	—
151	C₂×#11929625	C₂³	1	8	yes	complemented
152	C₂×#11929624	—	4	4	no	—
153	C₂×#11929624	C₂³	1	8	yes	complemented
154	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
156	C₂×Q₈×D₇₉	—	4	4	no	—
157	C₂×Q₈×D₇₉	C₂³	1	8	yes	complemented
158	C₂²×D₃₁₆	—	2	16	no	—
159	C₂²×D₃₁₆	—	4	4	no	—
160	C₂²×D₃₁₆	C₂³	1	2	yes	—
161	C₂²×D₃₁₆	C₂³	1	2	yes	—
162	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
163	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
164	C₂²×D₃₁₆	C₂³	1	2	yes	—
165	C₂²×D₃₁₆	C₂³	1	2	yes	—
166	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
167	C₂²×D₃₁₆	C₂³	1	16	yes	—
168	C₂²×D₃₁₆	C₂³	1	2	yes	—
169	C₂²×D₃₁₆	C₂³	1	2	yes	—
170	C₂²×D₃₁₆	C₂³	1	2	yes	—
171	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
172	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
174	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
176	C₂×D₄×D₇₉	—	2	8	no	—
177	C₂×D₄×D₇₉	C₂³	1	8	yes	—
178	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
179	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₇₉	—	4	4	no	—
181	C₂²×C₄×D₇₉	—	4	4	no	—
182	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
188	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
190	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
192	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
193	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
194	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
195	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
197	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
199	#14579156	C₂³	1	16	yes	complemented
200	#14579156	C₂³	1	16	yes	complemented
201	#14579156	C₂³	1	16	yes	complemented
202	#14579156	C₂³	1	16	yes	complemented
203	#14579155	C₂³	1	16	yes	complemented
204	#14579152	C₂³	1	8	yes	complemented
205	#14579151	C₂³	1	16	yes	complemented
206	#14579150	C₂³	1	8	yes	complemented
207	#14579149	C₂³	1	16	yes	complemented
208	#14579149	C₂³	1	8	yes	complemented
209	#14579147	C₂³	1	16	yes	complemented
210	#14579146	C₂³	1	16	yes	complemented
211	#14579146	C₂³	1	16	yes	complemented
212	#14579146	C₂³	1	16	yes	complemented
213	#14579146	C₂³	1	16	yes	complemented
214	#14579146	C₂³	1	16	yes	complemented
215	#14579146	C₂³	1	16	yes	complemented
216	#14579145	C₂³	1	16	yes	complemented
217	#14579144	C₂³	1	16	yes	—
218	#14579143	C₂³	1	16	yes	complemented
219	#14579141	C₂³	1	16	yes	complemented
220	#14579141	C₂³	1	8	yes	complemented
221	#14579141	C₂³	1	8	yes	complemented
222	#14579140	C₂³	1	8	yes	complemented
223	#14579139	C₂³	1	16	yes	complemented
224	#14579139	C₂³	1	16	yes	complemented
225	#14579138	C₂³	1	16	yes	complemented
226	#14579137	C₂³	1	8	yes	complemented
227	#14579136	C₂³	1	16	yes	—
228	#14579136	C₂³	1	8	yes	—
229	#14579136	C₂³	1	8	yes	—
230	#14579136	C₂³	1	16	yes	complemented
231	#14579136	C₂³	1	8	yes	complemented
232	#14579136	C₂³	1	8	yes	complemented
233	#14579136	C₂³	1	8	yes	complemented
234	#14579136	C₂³	1	16	yes	complemented
235	#14579136	C₂³	1	16	yes	complemented
236	#14579136	C₂³	1	16	yes	complemented
237	#14579135	C₂³	1	8	yes	complemented
238	#14579134	C₂³	1	16	yes	complemented
239	#14579134	C₂³	1	16	yes	complemented
240	#14579134	C₂³	1	16	yes	complemented
241	#14579131	C₂³	1	16	yes	—
242	#14579131	C₂³	1	16	yes	complemented
243	#14579131	C₂³	1	16	yes	complemented
244	#14579129	C₂³	1	16	yes	—
245	#14579126	C₂³	1	8	yes	complemented
246	C₄×D₃₁₆	C₂³	1	16	yes	complemented
247	C₄×D₃₁₆	C₂³	1	16	yes	complemented
248	C₄×D₃₁₆	C₂³	1	8	yes	complemented
249	C₄×D₃₁₆	C₂³	1	16	yes	complemented
250	C₄×D₃₁₆	C₂³	1	8	yes	complemented
251	C₄×D₃₁₆	C₂³	1	16	yes	complemented
252	C₄×D₃₁₆	C₂³	1	16	yes	complemented
253	D₄×Dic₇₉	C₂³	1	8	yes	—
254	#14579123	C₂³	1	16	yes	complemented
255	#14579123	C₂³	1	16	yes	complemented
256	#14579123	C₂³	1	8	yes	complemented
257	#14579123	C₂³	1	16	yes	complemented
258	#14579123	C₂³	1	16	yes	complemented
259	#14579123	C₂³	1	8	yes	complemented
260	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
261	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
262	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
263	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
264	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
265	#14579120	C₂³	1	16	yes	complemented
266	#14579119	C₂³	1	16	yes	complemented
267	#14579119	C₂³	1	8	yes	complemented
268	#14579118	C₂³	1	16	yes	complemented
269	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
271	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
274	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
281	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
282	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
283	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
284	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
308	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
309	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
310	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
311	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
312	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
313	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
317	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
318	C₄²×D₇₉	C₂³	1	8	yes	complemented
319	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
322	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
324	#126×C₇₉	C₂³	1	16	yes	complemented
325	#125×C₇₉	C₂³	1	16	yes	complemented
326	#125×C₇₉	C₂³	1	8	yes	complemented
327	#123×C₇₉	C₂³	1	16	yes	—
328	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
329	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
330	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
331	C₄×D₄×C₇₉	C₂³	1	8	yes	—
332	#117×C₇₉	C₂³	1	16	yes	complemented
333	#117×C₇₉	C₂³	1	8	yes	complemented
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
350	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
351	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
352	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
353	C₂³×D₇₉	—	2	8	no	—
354	C₂³×D₇₉	—	2	4	no	—
355	C₂³×D₇₉	—	4	2	no	—
356	C₂³×D₇₉	—	4	2	no	—
357	C₂³×D₇₉	—	4	2	no	—
358	C₂³×D₇₉	—	4	2	no	—
359	C₂³×D₇₉	—	4	4	no	—
360	C₂³×D₇₉	—	4	4	no	—
361	C₂³×D₇₉	#41	1	8	yes	complemented
362	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
363	C₂³×D₇₉	C₂⁴	1	2	yes	—
364	C₂³×D₇₉	C₂⁴	1	2	yes	—
365	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
366	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
367	C₂³×D₇₉	C₂⁴	1	8	yes	—
368	C₂³×D₇₉	C₂⁴	1	4	yes	—
369	C₂³×D₇₉	C₂⁴	1	4	yes	—
370	#11929625	—	4	16	no	—
371	#11929624	—	4	16	no	—
372	C₂×Dic₁₅₈	—	2	4	no	—
373	C₂×Dic₁₅₈	—	4	4	no	—
374	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
375	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
376	Q₈×D₇₉	—	4	16	no	—
377	C₂×D₃₁₆	—	2	4	no	—
378	C₂×D₃₁₆	—	2	8	no	—
379	C₂×D₃₁₆	—	2	8	no	—
380	C₂×D₃₁₆	—	2	8	no	—
381	C₂×D₃₁₆	—	2	8	no	—
382	C₂×D₃₁₆	—	2	64	no	—
383	C₂×D₃₁₆	—	2	4	no	—
384	C₂×D₃₁₆	—	2	4	no	—
385	C₂×D₃₁₆	—	4	4	no	—
386	C₂×D₃₁₆	—	4	4	no	—
387	C₂×D₃₁₆	—	4	4	no	—
388	C₂×D₃₁₆	—	4	16	no	—
389	C₂×D₃₁₆	C₂⁴	1	4	yes	—
390	C₂×D₃₁₆	C₂⁴	1	4	yes	—
391	C₂×D₃₁₆	C₂⁴	1	8	yes	—
392	C₂×D₃₁₆	C₂⁴	1	8	yes	—
393	C₂×D₃₁₆	C₂⁴	1	4	yes	—
394	C₂×D₃₁₆	C₂⁴	1	8	yes	—
395	C₂×D₃₁₆	C₂⁴	1	8	yes	—
396	C₂×D₃₁₆	C₂⁴	1	8	yes	—
397	C₂×D₃₁₆	C₂⁴	1	8	yes	—
398	C₂×D₃₁₆	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₇₉	—	2	4	no	—
400	C₂×C₂²⋊D₇₉	—	2	4	no	—
401	C₂×C₂²⋊D₇₉	—	4	4	no	—
402	C₂×C₂²⋊D₇₉	—	4	4	no	—
403	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
404	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
405	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
407	D₄×D₇₉	—	2	32	no	—
408	C₂²×Dic₇₉	—	4	2	no	—
409	C₂²×Dic₇₉	—	4	2	no	—
410	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
411	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
417	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
418	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
419	C₂×C₄×D₇₉	—	2	4	no	—
420	C₂×C₄×D₇₉	—	2	4	no	—
421	C₂×C₄×D₇₉	—	2	4	no	—
422	C₂×C₄×D₇₉	—	2	4	no	—
423	C₂×C₄×D₇₉	—	4	4	no	—
424	C₂×C₄×D₇₉	—	4	4	no	—
425	C₂×C₄×D₇₉	—	4	4	no	—
426	C₂×C₄×D₇₉	—	4	2	no	—
427	C₂×C₄×D₇₉	—	4	2	no	—
428	C₂×C₄×D₇₉	—	4	2	no	—
429	C₂×C₄×D₇₉	—	4	2	no	—
430	C₂×C₄×D₇₉	—	4	2	no	—
431	C₂×C₄×D₇₉	—	4	4	no	—
432	C₂×C₄×D₇₉	—	4	4	no	—
433	C₂×C₄×D₇₉	—	4	4	no	—
434	C₂×C₄×D₇₉	—	4	16	no	—
435	C₂×C₄×D₇₉	—	4	16	no	—
436	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
437	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
438	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
439	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
440	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
441	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
442	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
443	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
444	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
445	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
446	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
450	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
451	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
452	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
453	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
454	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
455	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
456	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
457	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
458	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
459	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
460	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
461	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
462	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
464	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
466	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
467	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
468	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
471	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
472	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
486	C₄×Dic₇₉	C₂⁴	1	4	yes	—
487	C₄×Dic₇₉	C₂⁴	1	4	yes	—
488	C₄×Dic₇₉	C₂⁴	1	4	yes	—
489	C₄×Dic₇₉	C₂⁴	1	8	yes	—
490	C₄×Dic₇₉	C₂⁴	1	8	yes	—
491	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₇₉	—	2	4	no	—
494	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
495	C₂×D₄×C₇₉	—	2	4	no	—
496	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₇₉	—	2	8	no	—
498	C₂²×C₄×C₇₉	—	2	4	no	—
499	C₂²×C₄×C₇₉	—	2	4	no	—
500	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
501	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
504	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
506	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
510	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
512	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
513	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
514	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
515	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
516	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
517	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
518	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
520	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
523	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
524	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
525	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
526	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
527	C₄²×C₇₉	C₂⁴	1	8	yes	—
528	C₄²×C₇₉	C₂⁴	1	8	yes	—
529	C₄²×C₇₉	C₂⁴	1	4	yes	—
530	C₂³×C₇₉	—	2	2	no	—
531	C₂³×C₇₉	—	2	2	no	—
532	C₂³×C₇₉	—	2	2	no	—
533	C₂³×C₇₉	—	2	2	no	—
534	C₂³×C₇₉	—	2	2	no	—
535	C₂³×C₇₉	C₂×#41	1	4	yes	—
536	C₂³×C₇₉	C₂⁵	1	2	yes	—
537	C₂³×C₇₉	C₂⁵	1	2	yes	—
538	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
539	C₂²×D₇₉	—	2	2	no	—
540	C₂²×D₇₉	—	2	2	no	—
541	C₂²×D₇₉	—	2	2	no	—
542	C₂²×D₇₉	—	2	2	no	—
543	C₂²×D₇₉	—	2	2	no	—
544	C₂²×D₇₉	—	2	4	no	—
545	C₂²×D₇₉	—	2	4	no	—
546	C₂²×D₇₉	—	2	2	no	—
547	C₂²×D₇₉	—	2	4	no	—
548	C₂²×D₇₉	—	2	4	no	—
549	C₂²×D₇₉	—	2	4	no	—
550	C₂²×D₇₉	—	2	4	no	—
551	C₂²×D₇₉	—	2	2	no	—
552	C₂²×D₇₉	—	2	16	no	—
553	C₂²×D₇₉	—	2	8	no	—
554	C₂²×D₇₉	—	4	4	no	—
555	C₂²×D₇₉	—	4	4	no	—
556	C₂²×D₇₉	—	4	16	no	—
557	C₂²×D₇₉	—	4	4	no	—
558	C₂²×D₇₉	—	4	4	no	—
559	C₂²×D₇₉	—	4	8	no	—
560	C₂²×D₇₉	—	4	8	no	—
561	C₂²×D₇₉	—	4	16	no	—
562	C₂²×D₇₉	—	8	16	no	—
563	C₂²×D₇₉	C₂×#41	1	4	yes	—
564	C₂²×D₇₉	C₂×#41	1	4	yes	—
565	C₂²×D₇₉	C₂×#41	1	16	yes	complemented
566	C₂²×D₇₉	C₂⁵	1	2	yes	—
567	C₂²×D₇₉	C₂⁵	1	4	yes	—
568	C₂²×D₇₉	C₂⁵	1	4	yes	—
569	C₂²×D₇₉	C₂⁵	1	2	yes	—
570	C₂²×D₇₉	C₂⁵	1	2	yes	—
571	Q₈×C₇₉	—	2	8	no	—
572	D₄×C₇₉	—	2	8	no	—
573	C₂×C₄×C₇₉	—	2	2	no	—
574	C₂×C₄×C₇₉	—	2	16	no	—
575	C₂×C₄×C₇₉	—	2	4	no	—
576	C₂×C₄×C₇₉	—	2	4	no	—
577	C₂×C₄×C₇₉	—	2	2	no	—
578	C₂×C₄×C₇₉	—	2	2	no	—
579	C₂×C₄×C₇₉	—	2	4	no	—
580	C₂×C₄×C₇₉	—	2	2	no	—
581	C₂×C₄×C₇₉	—	2	4	no	—
582	C₂×C₄×C₇₉	—	2	8	no	—
583	C₂×C₄×C₇₉	—	2	8	no	—
584	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
585	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
586	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
587	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
588	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
589	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
590	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
591	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
592	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
593	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
594	C₂²⋊D₇₉	—	2	8	no	—
595	C₂²⋊D₇₉	—	2	8	no	—
596	C₂²⋊D₇₉	—	4	8	no	—
597	C₂²⋊D₇₉	—	4	8	no	—
598	C₂×Dic₇₉	—	2	2	no	—
599	C₂×Dic₇₉	—	2	2	no	—
600	C₂×Dic₇₉	—	2	2	no	—
601	C₂×Dic₇₉	—	2	2	no	—
602	C₂×Dic₇₉	—	2	4	no	—
603	C₂×Dic₇₉	—	2	2	no	—
604	C₂×Dic₇₉	—	2	4	no	—
605	C₂×Dic₇₉	—	4	4	no	—
606	C₂×Dic₇₉	—	4	4	no	—
607	C₂×Dic₇₉	C₂⁵	1	2	yes	—
608	C₂×Dic₇₉	C₂⁵	1	2	yes	—
609	C₂×Dic₇₉	C₂⁵	1	2	yes	—
610	C₂×Dic₇₉	C₂⁵	1	2	yes	—
611	C₂×Dic₇₉	C₂⁵	1	4	yes	—
612	C₂×Dic₇₉	C₂⁵	1	4	yes	—
613	C₂×Dic₇₉	C₂⁵	1	2	yes	—
614	D₃₁₆	—	2	8	no	—
615	D₃₁₆	—	2	16	no	—
616	D₃₁₆	—	2	16	no	—
617	D₃₁₆	—	2	16	no	—
618	D₃₁₆	—	2	16	no	—
619	D₃₁₆	—	2	8	no	—
620	D₃₁₆	—	2	8	no	—
621	D₃₁₆	—	4	8	no	—
622	D₃₁₆	—	4	8	no	—
623	D₃₁₆	—	4	8	no	—
624	C₄×D₇₉	—	2	8	no	—
625	C₄×D₇₉	—	2	8	no	—
626	C₄×D₇₉	—	2	8	no	—
627	C₄×D₇₉	—	2	8	no	—
628	C₄×D₇₉	—	4	4	no	—
629	C₄×D₇₉	—	4	4	no	—
630	C₄×D₇₉	—	4	4	no	—
631	C₄×D₇₉	—	4	4	no	—
632	C₄×D₇₉	—	4	8	no	—
633	C₄×D₇₉	—	4	8	no	—
634	C₄×D₇₉	—	4	4	no	—
635	C₄×D₇₉	—	4	8	no	—
636	C₄×D₇₉	—	4	8	no	—
637	C₄×D₇₉	—	4	8	no	—
638	C₄×D₇₉	—	4	8	no	—
639	Dic₁₅₈	—	2	8	no	—
640	Dic₁₅₈	—	4	8	no	—
641	C₂²×C₇₉	—	2	2	no	—
642	C₂²×C₇₉	—	2	2	no	—
643	C₂²×C₇₉	—	2	8	no	—
644	C₂²×C₇₉	—	2	2	no	—
645	C₂²×C₇₉	—	2	2	no	—
646	C₂²×C₇₉	—	2	2	no	—
647	C₂²×C₇₉	—	4	4	no	—
648	C₂²×C₇₉	C₂²×#41	1	4	yes	—
649	C₂²×C₇₉	C₂²×#41	1	2	yes	—
650	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
651	C₂²×C₇₉	#585	1	2	yes	—
652	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
653	C₂×D₇₉	—	2	2	no	—
654	C₂×D₇₉	—	2	2	no	—
655	C₂×D₇₉	—	2	2	no	—
656	C₂×D₇₉	—	2	2	no	—
657	C₂×D₇₉	—	2	8	no	—
658	C₂×D₇₉	—	2	8	no	—
659	C₂×D₇₉	—	2	2	no	—
660	C₂×D₇₉	—	2	4	no	—
661	C₂×D₇₉	—	2	4	no	—
662	C₂×D₇₉	—	2	4	no	—
663	C₂×D₇₉	—	2	2	no	—
664	C₂×D₇₉	—	2	4	no	—
665	C₂×D₇₉	—	2	4	no	—
666	C₂×D₇₉	—	2	4	no	—
667	C₂×D₇₉	—	2	2	no	—
668	C₂×D₇₉	—	4	16	no	—
669	C₂×D₇₉	—	4	16	no	—
670	C₂×D₇₉	—	4	4	no	—
671	C₂×D₇₉	—	4	8	no	—
672	C₂×D₇₉	—	4	8	no	—
673	C₂×D₇₉	—	8	16	no	—
674	C₂×D₇₉	C₂²×#41	1	4	yes	—
675	C₂×D₇₉	C₂²×#41	1	4	yes	—
676	C₄×C₇₉	—	2	4	no	—
677	C₄×C₇₉	—	2	4	no	—
678	C₄×C₇₉	—	2	2	no	—
679	C₄×C₇₉	—	2	2	no	—
680	C₄×C₇₉	—	2	2	no	—
681	C₄×C₇₉	—	2	4	no	—
682	C₄×C₇₉	—	2	2	no	—
683	C₄×C₇₉	—	2	4	no	—
684	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
685	Dic₇₉	—	2	2	no	—
686	Dic₇₉	—	2	4	no	—
687	Dic₇₉	—	2	2	no	—
688	Dic₇₉	—	2	2	no	—
689	Dic₇₉	—	2	2	no	—
690	Dic₇₉	—	2	4	no	—
691	Dic₇₉	—	2	2	no	—
692	C₂×#3505	—	79	1	no	maximal, Sylow
693	C₂×C₇₉	—	2	4	no	—
694	C₂×C₇₉	—	4	2	no	—
695	C₂×C₇₉	#3505	1	4	yes	complemented
696	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
697	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
698	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
699	D₇₉	—	2	4	no	—
700	D₇₉	—	2	4	no	—
701	D₇₉	—	4	2	no	—
702	D₇₉	—	4	4	no	—
703	D₇₉	—	4	4	no	—
704	#3505	—	79	32	no	—
705	C₂×#553	—	79	2	no	—
706	C₂×#553	—	79	1	no	—
707	C₂×#553	—	79	2	no	—
708	C₂×#553	—	79	1	no	—
709	C₂×#552	—	79	1	no	—
710	C₂×#552	D₇₉	1	1	yes	characteristic, complemented
711	C₂×#551	—	79	2	no	—
712	C₂×#551	—	79	2	no	—
713	C₂×#548	—	79	1	no	—
714	C₂×#548	—	79	1	no	—
715	C₂×#546	—	79	1	no	—
716	C₂×#546	—	79	1	no	—
717	C₂×#539	—	79	2	no	—
718	C₂×#538	—	79	2	no	—
719	C₂×#534	—	79	2	no	—
720	C₂×#529	—	79	1	no	—
721	C₂×#529	—	79	1	no	—
722	C₂×#525	—	79	1	no	—
723	C₂×#525	—	79	1	no	—
724	C₂²×C₂²⋊Q₈	—	79	1	no	—
725	C₂²×#121	—	79	1	no	—
726	C₂×#518	—	79	2	no	—
727	C₂²×C₄×D₄	—	79	1	no	—
728	C₇₉	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
729	C₂²×#41	—	79	1	no	—
730	C₂²×#41	—	79	1	no	—
731	C₂³×Q₈	—	79	1	no	—
732	C₂³×D₄	—	79	1	no	—
733	C₂³×D₄	—	79	1	no	—
734	C₂³×D₄	—	79	2	no	—
735	C₂⁴×C₄	—	79	1	no	—
736	C₂⁴×C₄	—	79	1	no	—
737	#553	—	79	32	no	—
738	#553	—	79	16	no	—
739	#553	—	79	32	no	—
740	#553	—	79	16	no	—
741	#552	—	79	16	no	—
742	#552	C₂×D₇₉	1	16	yes	complemented
743	#551	—	79	32	no	—
744	#551	—	79	32	no	—
745	#548	—	79	16	no	—
746	#548	—	79	16	no	—
747	#546	—	79	16	no	—
748	#546	—	79	16	no	—
749	#539	—	79	32	no	—
750	#538	—	79	32	no	—
751	#534	—	79	32	no	—
752	#529	—	79	16	no	—
753	#529	—	79	16	no	—
754	C₂×#126	—	79	2	no	—
755	C₂×#126	—	79	2	no	—
756	C₂×#126	—	79	2	no	—
757	C₂×#126	—	79	2	no	—
758	C₂×#126	—	79	2	no	—
759	C₂×#126	C₂×D₇₉	1	2	yes	complemented
760	C₂×#125	—	79	1	no	—
761	C₂×#125	—	79	2	no	—
762	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
763	C₂×#125	C₂×D₇₉	1	2	yes	complemented
764	C₂×#124	—	79	1	no	—
765	C₂×#124	—	79	2	no	—
766	C₂×#124	—	79	1	no	—
767	C₂×#124	—	79	2	no	—
768	#525	—	79	16	no	—
769	#525	—	79	16	no	—
770	C₂×#123	—	79	2	no	—
771	C₂×#123	—	79	2	no	—
772	C₂×#123	—	79	2	no	—
773	C₂×#123	—	79	2	no	—
774	C₂×#123	—	79	2	no	—
775	C₂×#123	—	79	2	no	—
776	C₂×#123	—	79	2	no	—
777	C₂×#123	—	79	2	no	—
778	C₂×#123	—	79	2	no	—
779	C₂×#123	C₂×D₇₉	1	2	yes	—
780	C₂×C₂²⋊Q₈	—	79	1	no	—
781	C₂×C₂²⋊Q₈	—	79	1	no	—
782	C₂×C₂²⋊Q₈	—	79	16	no	—
783	C₂×C₂²⋊Q₈	—	79	1	no	—
784	C₂×C₂²⋊Q₈	—	79	2	no	—
785	C₂×C₂²⋊Q₈	—	79	1	no	—
786	C₂×C₂²⋊Q₈	—	79	2	no	—
787	C₂×C₂²⋊Q₈	—	79	2	no	—
788	C₂×C₂²⋊Q₈	—	79	2	no	—
789	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
790	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
791	C₂×#121	—	79	1	no	—
792	C₂×#121	—	79	1	no	—
793	C₂×#121	—	79	1	no	—
794	C₂×#121	—	79	2	no	—
795	C₂×#121	—	79	1	no	—
796	C₂×#121	—	79	1	no	—
797	C₂×#121	—	79	2	no	—
798	C₂×#121	—	79	1	no	—
799	C₂×#121	—	79	2	no	—
800	C₂×#121	—	79	2	no	—
801	C₂×#121	—	79	2	no	—
802	C₂×#121	—	79	16	no	—
803	C₂×#121	—	79	2	no	—
804	C₂×#121	—	79	2	no	—
805	C₂×#121	—	79	2	no	—
806	C₂×#120	—	79	2	no	—
807	C₂×#120	—	79	2	no	—
808	C₂×#120	—	79	2	no	—
809	C₂×#120	—	79	2	no	—
810	#518	—	79	32	no	—
811	C₂×C₄×Q₈	—	79	1	no	—
812	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
813	C₂×C₄×D₄	—	79	1	no	—
814	C₂×C₄×D₄	—	79	1	no	—
815	C₂×C₄×D₄	—	79	1	no	—
816	C₂×C₄×D₄	—	79	16	no	—
817	C₂×C₄×D₄	—	79	1	no	—
818	C₂×C₄×D₄	—	79	2	no	—
819	C₂×C₄×D₄	—	79	2	no	—
820	C₂×C₄×D₄	—	79	2	no	—
821	C₂×C₄×D₄	—	79	2	no	—
822	C₂×C₄×D₄	—	79	1	no	—
823	C₂×C₄×D₄	—	79	1	no	—
824	C₂×C₄×D₄	—	79	1	no	—
825	C₂×C₄×D₄	—	79	2	no	—
826	C₂×C₄×D₄	—	79	1	no	—
827	C₂×C₄×D₄	—	79	2	no	—
828	C₂×C₄×D₄	—	79	2	no	—
829	C₂×C₄×D₄	—	79	2	no	—
830	C₂×C₄×D₄	—	79	2	no	—
831	C₂×C₄×D₄	—	79	2	no	—
832	C₂×C₄×D₄	—	79	1	no	—
833	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
834	C₂×#117	—	79	2	no	—
835	C₂×#117	—	79	1	no	—
836	C₂×#117	—	79	2	no	—
837	C₂×#117	—	79	2	no	—
838	C₂×#117	C₂×D₇₉	1	2	yes	complemented
839	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
840	C₂²×C₄⋊C₄	—	79	1	no	—
841	C₂²×C₄⋊C₄	—	79	1	no	—
842	C₂²×C₄⋊C₄	—	79	2	no	—
843	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
844	C₂²×C₂²⋊C₄	—	79	2	no	—
845	C₂²×C₂²⋊C₄	—	79	1	no	—
846	C₂²×C₂²⋊C₄	—	79	1	no	—
847	C₂²×C₂²⋊C₄	—	79	2	no	—
848	C₂²×C₂²⋊C₄	—	79	2	no	—
849	C₂²×C₂²⋊C₄	—	79	2	no	—
850	C₂²×C₄²	—	79	1	no	—
851	C₂⁵	—	79	1	no	—
852	C₂⁵	—	79	2	no	—
853	C₂⁵	—	79	1	no	—
854	C₂×#41	—	316	4	no	—
855	C₂×#41	—	316	4	no	—
856	C₂×#41	—	79	8	no	—
857	C₂×#41	—	79	8	no	—
858	C₂²×Q₈	—	316	4	no	—
859	C₂²×Q₈	—	79	8	no	—
860	C₂²×Q₈	—	79	2	no	—
861	C₂²×Q₈	—	79	1	no	—
862	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
863	C₂²×D₄	—	316	4	no	—
864	C₂²×D₄	—	79	2	no	—
865	C₂²×D₄	—	79	2	no	—
866	C₂²×D₄	—	79	1	no	—
867	C₂²×D₄	—	79	1	no	—
868	C₂²×D₄	—	79	8	no	—
869	C₂²×D₄	—	79	2	no	—
870	C₂²×D₄	—	79	2	no	—
871	C₂²×D₄	—	79	2	no	—
872	C₂²×D₄	—	79	8	no	—
873	C₂²×D₄	—	79	2	no	—
874	C₂²×D₄	—	79	2	no	—
875	C₂²×D₄	—	79	2	no	—
876	C₂²×D₄	—	79	1	no	—
877	C₂²×D₄	—	79	2	no	—
878	C₂²×D₄	—	79	1	no	—
879	C₂²×D₄	—	79	1	no	—
880	C₂²×D₄	—	79	16	no	—
881	C₂²×D₄	—	158	16	no	—
882	C₂²×D₄	—	158	8	no	—
883	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
884	C₂³×C₄	—	316	4	no	—
885	C₂³×C₄	—	316	4	no	—
886	C₂³×C₄	—	79	1	no	—
887	C₂³×C₄	—	79	1	no	—
888	C₂³×C₄	—	79	1	no	—
889	C₂³×C₄	—	79	2	no	—
890	C₂³×C₄	—	79	1	no	—
891	C₂³×C₄	—	79	2	no	—
892	C₂³×C₄	—	79	1	no	—
893	C₂³×C₄	—	79	2	no	—
894	C₂³×C₄	—	79	2	no	—
895	C₂³×C₄	—	79	2	no	—
896	C₂³×C₄	—	79	2	no	—
897	C₂³×C₄	—	79	1	no	—
898	C₂³×C₄	—	79	1	no	—
899	C₂³×C₄	—	79	8	no	—
900	C₂³×C₄	—	79	8	no	—
901	C₂³×C₄	—	79	1	no	—
902	C₂³×C₄	—	79	1	no	—
903	C₂³×C₄	—	79	1	no	—
904	C₂³×C₄	—	79	1	no	—
905	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
906	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
907	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
908	#126	—	79	16	no	—
909	#126	—	79	16	no	—
910	#126	—	79	16	no	—
911	#126	—	79	16	no	—
912	#126	—	79	16	no	—
913	#126	C₂²×D₇₉	1	16	yes	complemented
914	#125	—	79	8	no	—
915	#125	—	79	16	no	—
916	#125	C₂²×D₇₉	1	8	yes	complemented
917	#125	C₂²×D₇₉	1	16	yes	complemented
918	#124	—	79	8	no	—
919	#124	—	79	16	no	—
920	#124	—	79	8	no	—
921	#124	—	79	16	no	—
922	#123	—	79	16	no	—
923	#123	—	79	16	no	—
924	#123	—	79	16	no	—
925	#123	—	79	16	no	—
926	#123	—	79	16	no	—
927	#123	—	79	16	no	—
928	#123	—	79	16	no	—
929	#123	—	79	16	no	—
930	#123	—	79	16	no	—
931	#123	C₂²×D₇₉	1	16	yes	—
932	C₂²⋊Q₈	—	79	8	no	—
933	C₂²⋊Q₈	—	79	8	no	—
934	C₂²⋊Q₈	—	79	8	no	—
935	C₂²⋊Q₈	—	79	16	no	—
936	C₂²⋊Q₈	—	79	8	no	—
937	C₂²⋊Q₈	—	79	16	no	—
938	C₂²⋊Q₈	—	79	16	no	—
939	C₂²⋊Q₈	—	79	16	no	—
940	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
941	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
942	#121	—	79	8	no	—
943	#121	—	79	8	no	—
944	#121	—	79	8	no	—
945	#121	—	79	16	no	—
946	#121	—	79	8	no	—
947	#121	—	79	8	no	—
948	#121	—	79	16	no	—
949	#121	—	79	8	no	—
950	#121	—	79	16	no	—
951	#121	—	79	16	no	—
952	#121	—	79	16	no	—
953	#121	—	79	16	no	—
954	#121	—	79	16	no	—
955	#121	—	79	16	no	—
956	#120	—	79	16	no	—
957	#120	—	79	16	no	—
958	#120	—	79	16	no	—
959	#120	—	79	16	no	—
960	C₄×Q₈	—	79	8	no	—
961	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
962	C₄×D₄	—	79	8	no	—
963	C₄×D₄	—	79	8	no	—
964	C₄×D₄	—	79	8	no	—
965	C₄×D₄	—	79	8	no	—
966	C₄×D₄	—	79	16	no	—
967	C₄×D₄	—	79	16	no	—
968	C₄×D₄	—	79	16	no	—
969	C₄×D₄	—	79	16	no	—
970	C₄×D₄	—	79	8	no	—
971	C₄×D₄	—	79	8	no	—
972	C₄×D₄	—	79	8	no	—
973	C₄×D₄	—	79	16	no	—
974	C₄×D₄	—	79	8	no	—
975	C₄×D₄	—	79	16	no	—
976	C₄×D₄	—	79	16	no	—
977	C₄×D₄	—	79	16	no	—
978	C₄×D₄	—	79	16	no	—
979	C₄×D₄	—	79	16	no	—
980	C₄×D₄	—	79	8	no	—
981	C₄×D₄	C₂²×D₇₉	1	8	yes	—
982	#117	—	79	16	no	—
983	#117	—	79	8	no	—
984	#117	—	79	16	no	—
985	#117	—	79	16	no	—
986	#117	C₂²×D₇₉	1	16	yes	complemented
987	#117	C₂²×D₇₉	1	8	yes	complemented
988	C₂×C₄⋊C₄	—	79	1	no	—
989	C₂×C₄⋊C₄	—	79	2	no	—
990	C₂×C₄⋊C₄	—	79	2	no	—
991	C₂×C₄⋊C₄	—	79	1	no	—
992	C₂×C₄⋊C₄	—	79	1	no	—
993	C₂×C₄⋊C₄	—	79	1	no	—
994	C₂×C₄⋊C₄	—	79	2	no	—
995	C₂×C₄⋊C₄	—	79	2	no	—
996	C₂×C₄⋊C₄	—	79	2	no	—
997	C₂×C₄⋊C₄	—	79	2	no	—
998	C₂×C₄⋊C₄	—	79	2	no	—
999	C₂×C₄⋊C₄	—	79	2	no	—
1000	C₂×C₄⋊C₄	—	79	8	no	—
1001	C₂×C₄⋊C₄	—	79	16	no	—
1002	C₂×C₄⋊C₄	—	79	8	no	—
1003	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1006	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1009	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1010	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1011	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1012	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1013	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1014	C₂×C₂²⋊C₄	—	79	1	no	—
1015	C₂×C₂²⋊C₄	—	79	2	no	—
1016	C₂×C₂²⋊C₄	—	79	1	no	—
1017	C₂×C₂²⋊C₄	—	79	2	no	—
1018	C₂×C₂²⋊C₄	—	79	2	no	—
1019	C₂×C₂²⋊C₄	—	79	1	no	—
1020	C₂×C₂²⋊C₄	—	79	1	no	—
1021	C₂×C₂²⋊C₄	—	79	2	no	—
1022	C₂×C₂²⋊C₄	—	79	2	no	—
1023	C₂×C₂²⋊C₄	—	79	1	no	—
1024	C₂×C₂²⋊C₄	—	79	2	no	—
1025	C₂×C₂²⋊C₄	—	79	2	no	—
1026	C₂×C₂²⋊C₄	—	79	2	no	—
1027	C₂×C₂²⋊C₄	—	79	2	no	—
1028	C₂×C₂²⋊C₄	—	79	1	no	—
1029	C₂×C₂²⋊C₄	—	79	2	no	—
1030	C₂×C₂²⋊C₄	—	79	2	no	—
1031	C₂×C₂²⋊C₄	—	79	16	no	—
1032	C₂×C₂²⋊C₄	—	79	2	no	—
1033	C₂×C₂²⋊C₄	—	79	2	no	—
1034	C₂×C₂²⋊C₄	—	79	2	no	—
1035	C₂×C₂²⋊C₄	—	79	2	no	—
1036	C₂×C₂²⋊C₄	—	79	2	no	—
1037	C₂×C₂²⋊C₄	—	79	2	no	—
1038	C₂×C₂²⋊C₄	—	79	8	no	—
1039	C₂×C₂²⋊C₄	—	79	8	no	—
1040	C₂×C₂²⋊C₄	—	79	16	no	—
1041	C₂×C₂²⋊C₄	—	79	16	no	—
1042	C₂×C₂²⋊C₄	—	79	16	no	—
1043	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1048	C₂×C₄²	—	79	2	no	—
1049	C₂×C₄²	—	79	2	no	—
1050	C₂×C₄²	—	79	1	no	—
1051	C₂×C₄²	—	79	1	no	—
1052	C₂×C₄²	—	79	1	no	—
1053	C₂×C₄²	—	79	8	no	—
1054	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1055	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1056	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1057	C₂⁴	—	316	2	no	—
1058	C₂⁴	—	316	2	no	—
1059	C₂⁴	—	316	2	no	—
1060	C₂⁴	—	316	2	no	—
1061	C₂⁴	—	316	4	no	—
1062	C₂⁴	—	316	4	no	—
1063	C₂⁴	—	79	8	no	—
1064	C₂⁴	—	79	4	no	—
1065	C₂⁴	—	79	8	no	—
1066	C₂⁴	—	79	4	no	—
1067	C₂⁴	—	79	1	no	—
1068	C₂⁴	—	79	1	no	—
1069	C₂⁴	—	79	1	no	—
1070	C₂⁴	—	79	2	no	—
1071	C₂⁴	—	79	2	no	—
1072	C₂⁴	—	158	4	no	—
1073	C₂⁴	—	158	8	no	—
1074	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1075	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1076	#41	—	316	16	no	—
1077	#41	—	316	16	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	316	4	no	—
1080	C₂×Q₈	—	316	16	no	—
1081	C₂×Q₈	—	79	8	no	—
1082	C₂×Q₈	—	79	4	no	—
1083	C₂×Q₈	—	158	4	no	—
1084	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	316	4	no	—
1087	C₂×D₄	—	316	4	no	—
1088	C₂×D₄	—	316	4	no	—
1089	C₂×D₄	—	316	16	no	—
1090	C₂×D₄	—	316	4	no	—
1091	C₂×D₄	—	316	4	no	—
1092	C₂×D₄	—	79	8	no	—
1093	C₂×D₄	—	79	8	no	—
1094	C₂×D₄	—	79	4	no	—
1095	C₂×D₄	—	79	4	no	—
1096	C₂×D₄	—	79	8	no	—
1097	C₂×D₄	—	79	8	no	—
1098	C₂×D₄	—	79	8	no	—
1099	C₂×D₄	—	79	8	no	—
1100	C₂×D₄	—	79	8	no	—
1101	C₂×D₄	—	79	8	no	—
1102	C₂×D₄	—	79	4	no	—
1103	C₂×D₄	—	79	8	no	—
1104	C₂×D₄	—	79	4	no	—
1105	C₂×D₄	—	79	4	no	—
1106	C₂×D₄	—	158	64	no	—
1107	C₂×D₄	—	158	8	no	—
1108	C₂×D₄	—	158	8	no	—
1109	C₂×D₄	—	158	8	no	—
1110	C₂×D₄	—	158	8	no	—
1111	C₂×D₄	—	158	4	no	—
1112	C₂×D₄	—	158	32	no	—
1113	C₂×D₄	—	158	4	no	—
1114	C₂×D₄	—	158	4	no	—
1115	C₂×D₄	—	158	4	no	—
1116	C₂×D₄	—	158	4	no	—
1117	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1118	C₂²×C₄	—	2	8	no	—
1119	C₂²×C₄	—	2	4	no	—
1120	C₂²×C₄	—	2	4	no	—
1121	C₂²×C₄	—	316	2	no	—
1122	C₂²×C₄	—	316	2	no	—
1123	C₂²×C₄	—	316	2	no	—
1124	C₂²×C₄	—	316	2	no	—
1125	C₂²×C₄	—	316	2	no	—
1126	C₂²×C₄	—	316	4	no	—
1127	C₂²×C₄	—	316	4	no	—
1128	C₂²×C₄	—	316	4	no	—
1129	C₂²×C₄	—	316	4	no	—
1130	C₂²×C₄	—	316	4	no	—
1131	C₂²×C₄	—	316	4	no	—
1132	C₂²×C₄	—	316	16	no	—
1133	C₂²×C₄	—	316	16	no	—
1134	C₂²×C₄	—	316	2	no	—
1135	C₂²×C₄	—	316	2	no	—
1136	C₂²×C₄	—	79	4	no	—
1137	C₂²×C₄	—	79	4	no	—
1138	C₂²×C₄	—	79	4	no	—
1139	C₂²×C₄	—	79	8	no	—
1140	C₂²×C₄	—	79	4	no	—
1141	C₂²×C₄	—	79	8	no	—
1142	C₂²×C₄	—	79	4	no	—
1143	C₂²×C₄	—	79	8	no	—
1144	C₂²×C₄	—	79	8	no	—
1145	C₂²×C₄	—	79	8	no	—
1146	C₂²×C₄	—	79	8	no	—
1147	C₂²×C₄	—	79	4	no	—
1148	C₂²×C₄	—	79	4	no	—
1149	C₂²×C₄	—	79	1	no	—
1150	C₂²×C₄	—	79	1	no	—
1151	C₂²×C₄	—	79	1	no	—
1152	C₂²×C₄	—	79	1	no	—
1153	C₂²×C₄	—	79	2	no	—
1154	C₂²×C₄	—	79	2	no	—
1155	C₂²×C₄	—	79	1	no	—
1156	C₂²×C₄	—	79	4	no	—
1157	C₂²×C₄	—	79	4	no	—
1158	C₂²×C₄	—	79	4	no	—
1159	C₂²×C₄	—	79	4	no	—
1160	C₂²×C₄	—	158	4	no	—
1161	C₂²×C₄	—	158	4	no	—
1162	C₂²×C₄	—	158	4	no	—
1163	C₂²×C₄	—	158	4	no	—
1164	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1165	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1166	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1167	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1168	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1171	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1173	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1174	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1176	C₄⋊C₄	—	79	8	no	—
1177	C₄⋊C₄	—	79	4	no	—
1178	C₄⋊C₄	—	79	4	no	—
1179	C₄⋊C₄	—	79	8	no	—
1180	C₄⋊C₄	—	79	8	no	—
1181	C₄⋊C₄	—	79	8	no	—
1182	C₄⋊C₄	—	79	8	no	—
1183	C₄⋊C₄	—	79	4	no	—
1184	C₄⋊C₄	—	79	8	no	—
1185	C₄⋊C₄	—	79	4	no	—
1186	C₄⋊C₄	—	79	8	no	—
1187	C₄⋊C₄	—	79	8	no	—
1188	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1189	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1190	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1191	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1192	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1193	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1194	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1195	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1196	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1197	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1198	C₂²⋊C₄	—	79	4	no	—
1199	C₂²⋊C₄	—	79	8	no	—
1200	C₂²⋊C₄	—	79	4	no	—
1201	C₂²⋊C₄	—	79	8	no	—
1202	C₂²⋊C₄	—	79	8	no	—
1203	C₂²⋊C₄	—	79	4	no	—
1204	C₂²⋊C₄	—	79	4	no	—
1205	C₂²⋊C₄	—	79	8	no	—
1206	C₂²⋊C₄	—	79	8	no	—
1207	C₂²⋊C₄	—	79	4	no	—
1208	C₂²⋊C₄	—	79	8	no	—
1209	C₂²⋊C₄	—	79	8	no	—
1210	C₂²⋊C₄	—	79	8	no	—
1211	C₂²⋊C₄	—	79	8	no	—
1212	C₂²⋊C₄	—	79	4	no	—
1213	C₂²⋊C₄	—	79	8	no	—
1214	C₂²⋊C₄	—	79	8	no	—
1215	C₂²⋊C₄	—	79	8	no	—
1216	C₂²⋊C₄	—	79	8	no	—
1217	C₂²⋊C₄	—	79	8	no	—
1218	C₂²⋊C₄	—	79	8	no	—
1219	C₂²⋊C₄	—	79	8	no	—
1220	C₂²⋊C₄	—	79	8	no	—
1221	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1222	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1223	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1224	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1225	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1226	C₄²	—	79	4	no	—
1227	C₄²	—	79	4	no	—
1228	C₄²	—	79	4	no	—
1229	C₄²	—	79	8	no	—
1230	C₄²	—	79	8	no	—
1231	C₄²	C₂³×D₇₉	1	4	yes	—
1232	C₄²	C₂³×D₇₉	1	8	yes	—
1233	C₄²	C₂³×D₇₉	1	8	yes	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	316	4	no	—
1240	C₂³	—	316	4	no	—
1241	C₂³	—	316	4	no	—
1242	C₂³	—	316	16	no	—
1243	C₂³	—	316	4	no	—
1244	C₂³	—	316	8	no	—
1245	C₂³	—	316	8	no	—
1246	C₂³	—	316	16	no	—
1247	C₂³	—	79	16	no	—
1248	C₂³	—	79	2	no	—
1249	C₂³	—	79	2	no	—
1250	C₂³	—	79	4	no	—
1251	C₂³	—	79	4	no	—
1252	C₂³	—	79	2	no	—
1253	C₂³	—	79	4	no	—
1254	C₂³	—	79	4	no	—
1255	C₂³	—	632	16	no	—
1256	C₂³	—	158	8	no	—
1257	C₂³	—	158	2	no	—
1258	C₂³	—	158	4	no	—
1259	C₂³	—	158	4	no	—
1260	C₂³	—	158	4	no	—
1261	C₂³	—	158	4	no	—
1262	C₂³	—	158	2	no	—
1263	C₂³	—	158	2	no	—
1264	C₂³	—	158	4	no	—
1265	C₂³	—	158	4	no	—
1266	C₂³	—	158	16	no	—
1267	C₂³	—	158	2	no	—
1268	C₂³	—	158	2	no	—
1269	C₂³	—	158	2	no	—
1270	C₂³	—	158	2	no	—
1271	C₂³	#41×D₇₉	1	4	yes	—
1272	C₂³	C₂⁴×D₇₉	1	2	yes	—
1273	C₂³	C₂⁴×D₇₉	1	2	yes	—
1274	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1275	Q₈	—	2	8	no	—
1276	Q₈	—	316	8	no	—
1277	Q₈	—	158	8	no	—
1278	D₄	—	2	8	no	—
1279	D₄	—	316	8	no	—
1280	D₄	—	316	8	no	—
1281	D₄	—	316	8	no	—
1282	D₄	—	316	8	no	—
1283	D₄	—	316	8	no	—
1284	D₄	—	158	16	no	—
1285	D₄	—	158	16	no	—
1286	D₄	—	158	16	no	—
1287	D₄	—	158	16	no	—
1288	D₄	—	158	8	no	—
1289	D₄	—	158	8	no	—
1290	D₄	—	158	8	no	—
1291	D₄	—	158	8	no	—
1292	D₄	—	158	8	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	16	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	8	no	—
1303	C₂×C₄	—	2	8	no	—
1304	C₂×C₄	—	316	4	no	—
1305	C₂×C₄	—	316	4	no	—
1306	C₂×C₄	—	316	4	no	—
1307	C₂×C₄	—	316	4	no	—
1308	C₂×C₄	—	316	8	no	—
1309	C₂×C₄	—	316	8	no	—
1310	C₂×C₄	—	316	8	no	—
1311	C₂×C₄	—	316	4	no	—
1312	C₂×C₄	—	316	8	no	—
1313	C₂×C₄	—	316	8	no	—
1314	C₂×C₄	—	316	8	no	—
1315	C₂×C₄	—	316	4	no	—
1316	C₂×C₄	—	316	4	no	—
1317	C₂×C₄	—	79	2	no	—
1318	C₂×C₄	—	79	2	no	—
1319	C₂×C₄	—	79	2	no	—
1320	C₂×C₄	—	79	2	no	—
1321	C₂×C₄	—	79	4	no	—
1322	C₂×C₄	—	79	4	no	—
1323	C₂×C₄	—	79	2	no	—
1324	C₂×C₄	—	158	8	no	—
1325	C₂×C₄	—	158	2	no	—
1326	C₂×C₄	—	158	2	no	—
1327	C₂×C₄	—	158	2	no	—
1328	C₂×C₄	—	158	4	no	—
1329	C₂×C₄	—	158	2	no	—
1330	C₂×C₄	—	158	4	no	—
1331	C₂×C₄	—	158	2	no	—
1332	C₂×C₄	—	158	8	no	—
1333	C₂×C₄	—	158	8	no	—
1334	C₂×C₄	—	158	8	no	—
1335	C₂×C₄	#14579207	1	4	yes	—
1336	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1337	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1338	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1339	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1340	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1341	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1342	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	8	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	4	4	no	—
1352	C₂²	—	316	16	no	—
1353	C₂²	—	316	16	no	—
1354	C₂²	—	316	4	no	—
1355	C₂²	—	316	8	no	—
1356	C₂²	—	316	8	no	—
1357	C₂²	—	79	4	no	—
1358	C₂²	—	79	4	no	—
1359	C₂²	—	632	16	no	—
1360	C₂²	—	158	2	no	—
1361	C₂²	—	158	4	no	—
1362	C₂²	—	158	4	no	—
1363	C₂²	—	158	2	no	—
1364	C₂²	—	158	4	no	—
1365	C₂²	—	158	4	no	—
1366	C₂²	—	158	4	no	—
1367	C₂²	—	158	4	no	—
1368	C₂²	—	158	2	no	—
1369	C₂²	—	158	2	no	—
1370	C₂²	—	158	2	no	—
1371	C₂²	—	158	2	no	—
1372	C₂²	—	158	2	no	—
1373	C₂²	—	158	8	no	—
1374	C₂²	—	158	8	no	—
1375	C₂²	C₂×#41×D₇₉	1	4	yes	—
1376	C₂²	C₂×#41×D₇₉	1	2	yes	—
1377	C₂²	C₂×#14579207	1	2	yes	—
1378	C₂²	#19099400	1	2	yes	—
1379	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1380	C₄	—	2	4	no	—
1381	C₄	—	2	4	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	4	no	—
1388	C₄	—	158	2	no	—
1389	C₄	—	158	2	no	—
1390	C₄	—	158	2	no	—
1391	C₄	—	158	2	no	—
1392	C₄	—	158	4	no	—
1393	C₄	—	158	2	no	—
1394	C₄	—	158	4	no	—
1395	C₄	C₂×#14579207	1	4	yes	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	316	2	no	—
1399	C₂	—	316	4	no	—
1400	C₂	—	316	4	no	—
1401	C₂	—	158	4	no	—
1402	C₂	—	158	4	no	—
1403	C₂	#23777240	1	4	yes	direct product factor
1404	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1405	C₂	C₂²×#14579207	1	1	yes	characteristic
1406	C₂	C₂×#19099400	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#552×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#552	D₇₉
hypocenter	C₇₉	C₂×#3505
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. #23777240	C₂	direct (N × H)
2. C₂×#19099266	C₂	semidirect
3. C₂×#19099266	C₂	semidirect
4. C₂×#19099264	C₂	semidirect
5. C₂×#19099257	C₂	semidirect
6. C₂×#19099248	C₂	semidirect
7. C₂×#19099237	C₂	semidirect
8. C₂×#19099236	C₂	semidirect
9. C₂×#19099225	C₂	semidirect
10. C₂×#19099223	C₂	semidirect
11. C₂×#19099209	C₂	semidirect
12. C₂×#19099204	C₂	semidirect
13. C₂×#19099161	C₂	semidirect
14. C₂×#19099152	C₂	semidirect
15. C₂×#19099124	C₂	semidirect
16. C₂×#19099100	C₂	semidirect
17. C₂×#19099098	C₂	semidirect
18. C₂×#19099076	C₂	semidirect
19. C₂×#19099075	C₂	semidirect
20. C₂×C₂²⋊Q₈×D₇₉	C₂	semidirect
21. C₂²×#14579136	C₂	semidirect
22. C₂×#19099037	C₂	semidirect
23. C₂×C₄×D₄×D₇₉	C₂	semidirect
24. C₂×#552×C₇₉	C₂	semidirect
25. C₂²×#11929625	C₂²	semidirect
26. C₂²×#11929624	C₂²	semidirect
27. C₂²×Q₈×D₇₉	C₂²	semidirect
29. C₂³×D₃₁₆	C₂²	semidirect
32. C₂³×C₄×D₇₉	C₂²	semidirect
33. #19099266	C₂²	semidirect
34. #19099266	C₂²	semidirect
35. #19099264	C₂²	semidirect
36. #19099257	C₂²	semidirect
37. #19099248	C₂²	semidirect
38. #19099237	C₂²	semidirect
39. #19099236	C₂²	semidirect
40. #19099225	C₂²	semidirect
41. #19099223	C₂²	semidirect
42. #19099209	C₂²	semidirect
43. #19099204	C₂²	semidirect
44. #19099161	C₂²	semidirect
45. #19099152	C₂²	semidirect
46. #19099124	C₂²	semidirect
47. #19099100	C₂²	semidirect
48. #19099098	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579156	C₂²	semidirect
51. C₂×#14579156	C₂²	semidirect
52. C₂×#14579156	C₂²	semidirect
53. C₂×#14579155	C₂²	semidirect
54. C₂×#14579152	C₂²	semidirect
55. C₂×#14579151	C₂²	semidirect
56. C₂×#14579150	C₂²	semidirect
57. C₂×#14579149	C₂²	semidirect
58. C₂×#14579149	C₂²	semidirect
59. C₂×#14579147	C₂²	semidirect
60. #19099076	C₂²	semidirect
61. #19099075	C₂²	semidirect
62. C₂×#14579146	C₂²	semidirect
63. C₂×#14579146	C₂²	semidirect
64. C₂×#14579146	C₂²	semidirect
65. C₂×#14579146	C₂²	semidirect
66. C₂×#14579146	C₂²	semidirect
67. C₂×#14579146	C₂²	semidirect
68. C₂×#14579145	C₂²	semidirect
70. C₂×#14579143	C₂²	semidirect
71. C₂×#14579141	C₂²	semidirect
72. C₂×#14579141	C₂²	semidirect
73. C₂×#14579141	C₂²	semidirect
74. C₂×#14579140	C₂²	semidirect
75. C₂×#14579139	C₂²	semidirect
76. C₂×#14579139	C₂²	semidirect
77. C₂×#14579138	C₂²	semidirect
78. C₂×#14579137	C₂²	semidirect
79. C₂²⋊Q₈×D₇₉	C₂²	semidirect
83. C₂×#14579136	C₂²	semidirect
84. C₂×#14579136	C₂²	semidirect
85. C₂×#14579136	C₂²	semidirect
86. C₂×#14579136	C₂²	semidirect
87. C₂×#14579136	C₂²	semidirect
88. C₂×#14579136	C₂²	semidirect
89. C₂×#14579136	C₂²	semidirect
90. C₂×#14579136	C₂²	semidirect
91. C₂×#14579135	C₂²	semidirect
92. C₂×#14579134	C₂²	semidirect
93. C₂×#14579134	C₂²	semidirect
94. C₂×#14579134	C₂²	semidirect
96. C₂×#14579131	C₂²	semidirect
97. C₂×#14579131	C₂²	semidirect
99. #19099037	C₂²	semidirect
100. C₂×#14579126	C₂²	semidirect
101. C₂×C₄×D₃₁₆	C₂²	semidirect
102. C₂×C₄×D₃₁₆	C₂²	semidirect
103. C₂×C₄×D₃₁₆	C₂²	semidirect
104. C₂×C₄×D₃₁₆	C₂²	semidirect
105. C₂×C₄×D₃₁₆	C₂²	semidirect
106. C₂×C₄×D₃₁₆	C₂²	semidirect
107. C₂×C₄×D₃₁₆	C₂²	semidirect
109. C₂×#14579123	C₂²	semidirect
110. C₂×#14579123	C₂²	semidirect
111. C₂×#14579123	C₂²	semidirect
112. C₂×#14579123	C₂²	semidirect
113. C₂×#14579123	C₂²	semidirect
114. C₂×#14579123	C₂²	semidirect
116. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
118. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
119. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
120. C₄×D₄×D₇₉	C₂²	semidirect
121. C₂×#14579120	C₂²	semidirect
122. C₂×#14579119	C₂²	semidirect
123. C₂×#14579119	C₂²	semidirect
124. C₂×#14579118	C₂²	semidirect
125. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
126. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
128. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
135. #552×C₇₉	C₂²	semidirect
136. C₂×#126×C₇₉	C₂²	semidirect
137. C₂×#125×C₇₉	C₂²	semidirect
138. C₂×#125×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
144. C₂×#117×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
151. C₂×#11929625	C₂³	semidirect
153. C₂×#11929624	C₂³	semidirect
157. C₂×Q₈×D₇₉	C₂³	semidirect
171. C₂²×D₃₁₆	C₂³	semidirect
198. C₂²×C₄×D₇₉	C₂³	semidirect
199. #14579156	C₂³	semidirect
200. #14579156	C₂³	semidirect
201. #14579156	C₂³	semidirect
202. #14579156	C₂³	semidirect
203. #14579155	C₂³	semidirect
204. #14579152	C₂³	semidirect
205. #14579151	C₂³	semidirect
206. #14579150	C₂³	semidirect
207. #14579149	C₂³	semidirect
208. #14579149	C₂³	semidirect
209. #14579147	C₂³	semidirect
210. #14579146	C₂³	semidirect
211. #14579146	C₂³	semidirect
212. #14579146	C₂³	semidirect
213. #14579146	C₂³	semidirect
214. #14579146	C₂³	semidirect
215. #14579146	C₂³	semidirect
216. #14579145	C₂³	semidirect
218. #14579143	C₂³	semidirect
219. #14579141	C₂³	semidirect
220. #14579141	C₂³	semidirect
221. #14579141	C₂³	semidirect
222. #14579140	C₂³	semidirect
223. #14579139	C₂³	semidirect
224. #14579139	C₂³	semidirect
225. #14579138	C₂³	semidirect
226. #14579137	C₂³	semidirect
230. #14579136	C₂³	semidirect
231. #14579136	C₂³	semidirect
232. #14579136	C₂³	semidirect
233. #14579136	C₂³	semidirect
234. #14579136	C₂³	semidirect
235. #14579136	C₂³	semidirect
236. #14579136	C₂³	semidirect
237. #14579135	C₂³	semidirect
238. #14579134	C₂³	semidirect
239. #14579134	C₂³	semidirect
240. #14579134	C₂³	semidirect
242. #14579131	C₂³	semidirect
243. #14579131	C₂³	semidirect
245. #14579126	C₂³	semidirect
246. C₄×D₃₁₆	C₂³	semidirect
247. C₄×D₃₁₆	C₂³	semidirect
248. C₄×D₃₁₆	C₂³	semidirect
249. C₄×D₃₁₆	C₂³	semidirect
250. C₄×D₃₁₆	C₂³	semidirect
251. C₄×D₃₁₆	C₂³	semidirect
252. C₄×D₃₁₆	C₂³	semidirect
254. #14579123	C₂³	semidirect
255. #14579123	C₂³	semidirect
256. #14579123	C₂³	semidirect
257. #14579123	C₂³	semidirect
258. #14579123	C₂³	semidirect
259. #14579123	C₂³	semidirect
261. C₄×C₂²⋊D₇₉	C₂³	semidirect
263. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
264. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
265. #14579120	C₂³	semidirect
266. #14579119	C₂³	semidirect
267. #14579119	C₂³	semidirect
268. #14579118	C₂³	semidirect
281. C₄⋊C₄×D₇₉	C₂³	semidirect
282. C₄⋊C₄×D₇₉	C₂³	semidirect
283. C₄⋊C₄×D₇₉	C₂³	semidirect
307. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
310. C₂²⋊C₄×D₇₉	C₂³	semidirect
311. C₂²⋊C₄×D₇₉	C₂³	semidirect
312. C₂²⋊C₄×D₇₉	C₂³	semidirect
318. C₄²×D₇₉	C₂³	semidirect
324. #126×C₇₉	C₂³	semidirect
325. #125×C₇₉	C₂³	semidirect
326. #125×C₇₉	C₂³	semidirect
328. C₂²⋊Q₈×C₇₉	C₂³	semidirect
329. C₂²⋊Q₈×C₇₉	C₂³	semidirect
330. C₄×Q₈×C₇₉	C₂³	semidirect
332. #117×C₇₉	C₂³	semidirect
333. #117×C₇₉	C₂³	semidirect
344. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
361. C₂³×D₇₉	#41	semidirect
565. C₂²×D₇₉	C₂×#41	semidirect
695. C₂×C₇₉	#3505	semidirect
710. C₂×#552	D₇₉	semidirect
728. C₇₉	C₂×#3505	semidirect
742. #552	C₂×D₇₉	semidirect
759. C₂×#126	C₂×D₇₉	semidirect
762. C₂×#125	C₂×D₇₉	semidirect
763. C₂×#125	C₂×D₇₉	semidirect
789. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
790. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
812. C₂×C₄×Q₈	C₂×D₇₉	semidirect
838. C₂×#117	C₂×D₇₉	semidirect
839. C₂×#117	C₂×D₇₉	semidirect
843. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
913. #126	C₂²×D₇₉	semidirect
916. #125	C₂²×D₇₉	semidirect
917. #125	C₂²×D₇₉	semidirect
940. C₂²⋊Q₈	C₂²×D₇₉	semidirect
941. C₂²⋊Q₈	C₂²×D₇₉	semidirect
961. C₄×Q₈	C₂²×D₇₉	semidirect
986. #117	C₂²×D₇₉	semidirect
987. #117	C₂²×D₇₉	semidirect
1013. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1403. C₂	#23777240	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777240	2
C₂×#19099266	2
C₂×#19099264	2
C₂×#19099257	2
C₂×#19099248	2
C₂×#19099237	2
C₂×#19099236	2
C₂×#19099225	2
C₂×#19099223	2
C₂×#19099209	2
C₂×#19099204	2
C₂×#19099161	2
C₂×#19099152	2
C₂×#19099124	2
C₂×#19099100	2
C₂×#19099098	2
C₂×#19099076	2
C₂×#19099075	2
C₂×C₂²⋊Q₈×D₇₉	2
C₂²×#14579136	2
C₂×#19099037	2
C₂×C₄×D₄×D₇₉	2
C₂×#552×C₇₉	2
C₂×#3505	79

Subgroups — C2×#23777240 #35196198

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777240 #35196198