Subgroups — C₂×#23777618 #35195487

Order 20224.

7962 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	#23777618	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099308	C₂	1	2	yes	maximal, complemented
3	C₂×#19099308	C₂	1	2	yes	maximal, complemented
4	C₂×#19099271	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099268	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099223	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099220	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099214	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19099213	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099210	C₂	1	2	yes	maximal, complemented
12	C₂×#19099202	C₂	1	2	yes	maximal, complemented
13	C₂×#19099201	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099188	C₂	1	2	yes	maximal, complemented
15	C₂×#19099186	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099180	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#19099159	C₂	1	2	yes	maximal, complemented
18	C₂×#19099145	C₂	1	2	yes	maximal, complemented
19	C₂×#19099142	C₂	1	2	yes	maximal, complemented
20	C₂×#19099141	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#19099070	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₂²⋊Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#121×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#537×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	2	yes	complemented
26	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#11929623	C₂²	1	2	yes	complemented
28	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
29	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₇₉	C₂²	1	2	yes	—
31	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
32	#19099308	C₂²	1	32	yes	complemented
33	#19099308	C₂²	1	32	yes	complemented
34	#19099271	C₂²	1	16	yes	complemented
35	#19099268	C₂²	1	16	yes	complemented
36	#19099223	C₂²	1	16	yes	complemented
37	#19099220	C₂²	1	16	yes	complemented
38	#19099214	C₂²	1	16	yes	complemented
39	#19099213	C₂²	1	16	yes	complemented
40	#19099210	C₂²	1	16	yes	complemented
41	#19099210	C₂²	1	32	yes	complemented
42	#19099202	C₂²	1	32	yes	complemented
43	#19099201	C₂²	1	16	yes	complemented
44	#19099188	C₂²	1	32	yes	complemented
45	#19099186	C₂²	1	16	yes	complemented
46	#19099180	C₂²	1	16	yes	complemented
47	#19099159	C₂²	1	32	yes	complemented
48	#19099145	C₂²	1	32	yes	complemented
49	#19099142	C₂²	1	32	yes	complemented
50	#19099141	C₂²	1	16	yes	complemented
51	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
52	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579156	C₂²	1	2	yes	complemented
54	C₂×#14579154	C₂²	1	2	yes	complemented
55	C₂×#14579151	C₂²	1	2	yes	complemented
56	C₂×#14579151	C₂²	1	2	yes	complemented
57	C₂×#14579150	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14579148	C₂²	1	2	yes	complemented
60	C₂×#14579148	C₂²	1	2	yes	complemented
61	C₂×#14579147	C₂²	1	2	yes	complemented
62	C₂×#14579147	C₂²	1	2	yes	complemented
63	#19099070	C₂²	1	16	yes	complemented
64	C₂×#14579146	C₂²	1	2	yes	complemented
65	C₂×#14579144	C₂²	1	2	yes	complemented
66	C₂×#14579144	C₂²	1	2	yes	complemented
67	C₂×#14579143	C₂²	1	2	yes	complemented
68	C₂×#14579143	C₂²	1	2	yes	complemented
69	C₂×#14579143	C₂²	1	2	yes	complemented
70	C₂×#14579142	C₂²	1	2	yes	complemented
71	C₂×#14579142	C₂²	1	2	yes	complemented
72	C₂×#14579142	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579142	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579141	C₂²	1	2	yes	—
75	C₂×#14579141	C₂²	1	1	yes	characteristic
76	C₂×#14579141	C₂²	1	2	yes	complemented
77	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14579140	C₂²	1	2	yes	complemented
79	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14579140	C₂²	1	2	yes	complemented
81	C₂×#14579139	C₂²	1	2	yes	—
82	C₂×#14579139	C₂²	1	2	yes	—
83	C₂×#14579139	C₂²	1	2	yes	complemented
84	C₂×#14579139	C₂²	1	2	yes	complemented
85	C₂×#14579138	C₂²	1	2	yes	complemented
86	C₂×#14579138	C₂²	1	2	yes	complemented
87	C₂×#14579138	C₂²	1	2	yes	complemented
88	C₂×#14579138	C₂²	1	2	yes	complemented
89	C₂×#14579137	C₂²	1	1	yes	characteristic
90	C₂×#14579137	C₂²	1	1	yes	characteristic
91	C₂×#14579137	C₂²	1	2	yes	complemented
92	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
93	C₂²⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
94	C₂×#14579136	C₂²	1	1	yes	characteristic
95	C₂×#14579135	C₂²	1	1	yes	characteristic
96	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
97	C₂×#14579134	C₂²	1	2	yes	—
98	C₂×#14579134	C₂²	1	2	yes	complemented
99	C₂×#14579133	C₂²	1	2	yes	—
100	C₂×#14579133	C₂²	1	2	yes	complemented
101	C₂×#14579133	C₂²	1	2	yes	complemented
102	C₂×#14579133	C₂²	1	2	yes	complemented
103	C₂×#14579132	C₂²	1	1	yes	characteristic
104	C₂×#14579132	C₂²	1	1	yes	characteristic
105	C₂×#14579132	C₂²	1	2	yes	complemented
106	C₂×#14579132	C₂²	1	2	yes	complemented
107	C₂×#14579132	C₂²	1	2	yes	complemented
108	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
109	#121×D₇₉	C₂²	1	16	yes	complemented
110	C₂×#14579129	C₂²	1	2	yes	—
111	C₂×#14579129	C₂²	1	1	yes	characteristic
112	C₂×#14579129	C₂²	1	2	yes	—
113	C₂×#14579129	C₂²	1	1	yes	characteristic
114	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
116	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14579123	C₂²	1	2	yes	complemented
119	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
120	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
121	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	—
122	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
123	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
125	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
126	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
127	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
129	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
131	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
134	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
136	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	#537×C₇₉	C₂²	1	16	yes	complemented
138	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
142	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
143	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
144	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
145	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
146	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₉	C₂³	1	2	yes	—
149	C₂×#11929624	—	4	8	no	—
150	C₂×#11929624	—	4	4	no	—
151	C₂×#11929624	C₂³	1	8	yes	complemented
152	C₂×#11929624	C₂³	1	16	yes	complemented
153	C₂×#11929623	—	4	8	no	—
154	C₂×#11929623	C₂³	1	16	yes	complemented
155	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
157	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
158	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
159	C₂×Q₈×D₇₉	—	4	4	no	—
160	C₂×Q₈×D₇₉	C₂³	1	8	yes	complemented
161	C₂²×D₃₁₆	C₂³	1	2	yes	—
162	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
165	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
167	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
172	C₂×D₄×D₇₉	—	4	4	no	—
173	C₂×D₄×D₇₉	—	4	8	no	—
174	C₂×D₄×D₇₉	C₂³	1	8	yes	—
175	C₂×D₄×D₇₉	C₂³	1	16	yes	—
176	C₂³×Dic₇₉	C₂³	1	2	yes	—
177	C₂³×Dic₇₉	C₂³	1	2	yes	—
178	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₉	—	4	4	no	—
180	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
181	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
185	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
186	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
187	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
188	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
190	#14579160	C₂³	1	8	yes	complemented
191	#14579160	C₂³	1	8	yes	complemented
192	#14579156	C₂³	1	16	yes	complemented
193	#14579154	C₂³	1	16	yes	complemented
194	#14579151	C₂³	1	16	yes	complemented
195	#14579151	C₂³	1	16	yes	complemented
196	#14579150	C₂³	1	8	yes	complemented
197	#14579148	C₂³	1	16	yes	complemented
198	#14579148	C₂³	1	8	yes	complemented
199	#14579148	C₂³	1	16	yes	complemented
200	#14579147	C₂³	1	16	yes	complemented
201	#14579147	C₂³	1	16	yes	complemented
202	#14579146	C₂³	1	16	yes	complemented
203	#14579144	C₂³	1	16	yes	complemented
204	#14579144	C₂³	1	16	yes	complemented
205	#14579143	C₂³	1	16	yes	complemented
206	#14579143	C₂³	1	16	yes	complemented
207	#14579143	C₂³	1	16	yes	complemented
208	#14579142	C₂³	1	16	yes	complemented
209	#14579142	C₂³	1	16	yes	complemented
210	#14579142	C₂³	1	8	yes	complemented
211	#14579142	C₂³	1	8	yes	complemented
212	#14579141	C₂³	1	16	yes	—
213	#14579141	C₂³	1	8	yes	—
214	#14579141	C₂³	1	16	yes	complemented
215	#14579140	C₂³	1	8	yes	complemented
216	#14579140	C₂³	1	8	yes	complemented
217	#14579140	C₂³	1	16	yes	complemented
218	#14579140	C₂³	1	16	yes	complemented
219	#14579139	C₂³	1	16	yes	—
220	#14579139	C₂³	1	16	yes	—
221	#14579139	C₂³	1	16	yes	complemented
222	#14579139	C₂³	1	16	yes	complemented
223	#14579138	C₂³	1	16	yes	complemented
224	#14579138	C₂³	1	16	yes	complemented
225	#14579138	C₂³	1	16	yes	complemented
226	#14579138	C₂³	1	16	yes	complemented
227	#14579137	C₂³	1	8	yes	—
228	#14579137	C₂³	1	8	yes	—
229	#14579137	C₂³	1	16	yes	complemented
230	#14579137	C₂³	1	8	yes	complemented
231	#14579136	C₂³	1	8	yes	—
232	#14579135	C₂³	1	8	yes	—
233	#14579135	C₂³	1	8	yes	complemented
234	#14579134	C₂³	1	16	yes	—
235	#14579134	C₂³	1	16	yes	complemented
236	#14579133	C₂³	1	16	yes	—
237	#14579133	C₂³	1	16	yes	complemented
238	#14579133	C₂³	1	16	yes	complemented
239	#14579133	C₂³	1	16	yes	complemented
240	#14579132	C₂³	1	8	yes	—
241	#14579132	C₂³	1	8	yes	—
242	#14579132	C₂³	1	16	yes	complemented
243	#14579132	C₂³	1	8	yes	complemented
244	#14579132	C₂³	1	16	yes	complemented
245	#14579132	C₂³	1	16	yes	complemented
246	#14579129	C₂³	1	16	yes	—
247	#14579129	C₂³	1	16	yes	—
248	#14579129	C₂³	1	8	yes	—
249	#14579129	C₂³	1	8	yes	—
250	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
251	#14579126	C₂³	1	8	yes	complemented
252	D₄×Dic₇₉	C₂³	1	8	yes	complemented
253	#14579123	C₂³	1	16	yes	complemented
254	#14579123	C₂³	1	8	yes	complemented
255	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
256	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
257	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
258	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
259	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
260	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
261	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
262	#14579120	C₂³	1	8	yes	complemented
263	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
266	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
267	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
271	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
283	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
284	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
285	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
286	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
293	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
308	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
310	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
311	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
312	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
313	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
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	C₂×#41×C₇₉	—	4	4	no	—
319	C₂×#41×C₇₉	—	4	4	no	—
320	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
321	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
322	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
326	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
327	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
329	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
335	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
336	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
337	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
338	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
339	#121×C₇₉	C₂³	1	8	yes	—
340	#121×C₇₉	C₂³	1	16	yes	complemented
341	#121×C₇₉	C₂³	1	16	yes	complemented
342	#121×C₇₉	C₂³	1	8	yes	complemented
343	#121×C₇₉	C₂³	1	16	yes	complemented
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
349	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
350	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
351	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
352	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
354	C₂³×D₇₉	—	2	4	no	—
355	C₂³×D₇₉	—	2	4	no	—
356	C₂³×D₇₉	—	2	8	no	—
357	C₂³×D₇₉	—	4	2	no	—
358	C₂³×D₇₉	—	4	4	no	—
359	C₂³×D₇₉	—	4	4	no	—
360	C₂³×D₇₉	C₂⁴	1	2	yes	—
361	C₂³×D₇₉	C₂⁴	1	4	yes	—
362	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
363	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
364	C₂³×D₇₉	C₂⁴	1	8	yes	—
365	#11929624	—	4	32	no	—
366	#11929624	—	4	16	no	—
367	#11929623	—	4	32	no	—
368	C₂×Dic₁₅₈	—	2	4	no	—
369	C₂×Dic₁₅₈	—	4	4	no	—
370	C₂×Dic₁₅₈	—	4	4	no	—
371	C₂×Dic₁₅₈	—	4	4	no	—
372	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
373	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
374	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
375	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
376	Q₈×D₇₉	—	4	16	no	—
377	C₂×D₃₁₆	—	2	8	no	—
378	C₂×D₃₁₆	—	2	4	no	—
379	C₂×D₃₁₆	C₂⁴	1	8	yes	—
380	C₂×D₃₁₆	C₂⁴	1	4	yes	—
381	C₂×C₂²⋊D₇₉	—	2	4	no	—
382	C₂×C₂²⋊D₇₉	—	2	8	no	—
383	C₂×C₂²⋊D₇₉	—	2	4	no	—
384	C₂×C₂²⋊D₇₉	—	2	4	no	—
385	C₂×C₂²⋊D₇₉	—	2	4	no	—
386	C₂×C₂²⋊D₇₉	—	4	4	no	—
387	C₂×C₂²⋊D₇₉	—	4	4	no	—
388	C₂×C₂²⋊D₇₉	—	4	4	no	—
389	C₂×C₂²⋊D₇₉	—	4	4	no	—
390	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
391	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
393	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
395	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
399	D₄×D₇₉	—	4	32	no	—
400	D₄×D₇₉	—	4	16	no	—
401	C₂²×Dic₇₉	—	4	4	no	—
402	C₂²×Dic₇₉	—	4	4	no	—
403	C₂²×Dic₇₉	—	4	2	no	—
404	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
406	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
409	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
410	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
414	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
415	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
416	C₂×C₄×D₇₉	—	2	8	no	—
417	C₂×C₄×D₇₉	—	2	4	no	—
418	C₂×C₄×D₇₉	—	2	4	no	—
419	C₂×C₄×D₇₉	—	4	4	no	—
420	C₂×C₄×D₇₉	—	4	4	no	—
421	C₂×C₄×D₇₉	—	4	4	no	—
422	C₂×C₄×D₇₉	—	4	2	no	—
423	C₂×C₄×D₇₉	—	4	2	no	—
424	C₂×C₄×D₇₉	—	4	4	no	—
425	C₂×C₄×D₇₉	—	4	16	no	—
426	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
427	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
428	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
429	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
430	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
431	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
432	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
433	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
434	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
435	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
436	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
437	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
438	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
439	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
440	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
441	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
442	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
443	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
444	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
445	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
446	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
447	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
448	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
449	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
450	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
451	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
452	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
453	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
458	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
459	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
460	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
461	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
462	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
464	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
465	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
466	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
467	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	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	4	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	C₄×Dic₇₉	C₂⁴	1	4	yes	—
479	C₄×Dic₇₉	C₂⁴	1	4	yes	—
480	C₄×Dic₇₉	C₂⁴	1	8	yes	—
481	C₄×Dic₇₉	C₂⁴	1	8	yes	—
482	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
483	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
485	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
486	#41×C₇₉	—	4	16	no	—
487	#41×C₇₉	—	4	16	no	—
488	C₂×Q₈×C₇₉	—	2	4	no	—
489	C₂×Q₈×C₇₉	—	4	2	no	—
490	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
491	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
492	C₂×D₄×C₇₉	—	2	4	no	—
493	C₂×D₄×C₇₉	—	4	4	no	—
494	C₂×D₄×C₇₉	—	4	2	no	—
495	C₂×D₄×C₇₉	—	4	2	no	—
496	C₂×D₄×C₇₉	—	4	4	no	—
497	C₂×D₄×C₇₉	—	4	2	no	—
498	C₂×D₄×C₇₉	—	4	4	no	—
499	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
500	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
501	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
502	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
503	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
504	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
505	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
506	C₂²×C₄×C₇₉	—	2	4	no	—
507	C₂²×C₄×C₇₉	—	2	4	no	—
508	C₂²×C₄×C₇₉	—	2	4	no	—
509	C₂²×C₄×C₇₉	—	4	4	no	—
510	C₂²×C₄×C₇₉	—	4	4	no	—
511	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
512	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
515	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
522	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
523	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
524	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
525	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
526	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
527	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
528	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
529	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
530	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
531	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
532	C₂³×C₇₉	—	2	2	no	—
533	C₂³×C₇₉	—	2	4	no	—
534	C₂³×C₇₉	—	2	2	no	—
535	C₂³×C₇₉	—	2	2	no	—
536	C₂³×C₇₉	—	2	2	no	—
537	C₂³×C₇₉	—	2	2	no	—
538	C₂³×C₇₉	—	2	4	no	—
539	C₂³×C₇₉	—	2	2	no	—
540	C₂³×C₇₉	—	2	2	no	—
541	C₂³×C₇₉	—	2	2	no	—
542	C₂³×C₇₉	—	2	2	no	—
543	C₂³×C₇₉	—	2	4	no	—
544	C₂³×C₇₉	C₂⁵	1	4	yes	—
545	C₂³×C₇₉	C₂⁵	1	2	yes	—
546	C₂³×C₇₉	C₂⁵	1	2	yes	—
547	C₂³×C₇₉	C₂⁵	1	2	yes	—
548	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
549	C₂²×D₇₉	—	2	2	no	—
550	C₂²×D₇₉	—	2	2	no	—
551	C₂²×D₇₉	—	2	2	no	—
552	C₂²×D₇₉	—	2	2	no	—
553	C₂²×D₇₉	—	2	4	no	—
554	C₂²×D₇₉	—	2	4	no	—
555	C₂²×D₇₉	—	2	4	no	—
556	C₂²×D₇₉	—	2	8	no	—
557	C₂²×D₇₉	—	2	8	no	—
558	C₂²×D₇₉	—	2	16	no	—
559	C₂²×D₇₉	—	4	4	no	—
560	C₂²×D₇₉	—	4	16	no	—
561	C₂²×D₇₉	—	4	8	no	—
562	C₂²×D₇₉	—	4	8	no	—
563	C₂²×D₇₉	—	8	16	no	—
564	C₂²×D₇₉	H(5,𝔽₂)	1	4	yes	—
565	C₂²×D₇₉	2₋¹⁺⁴	1	4	yes	—
566	C₂²×D₇₉	C₂⁵	1	4	yes	—
567	C₂²×D₇₉	C₂⁵	1	2	yes	—
568	C₂²×D₇₉	C₂⁵	1	2	yes	—
569	Q₈×C₇₉	—	2	8	no	—
570	Q₈×C₇₉	—	4	4	no	—
571	D₄×C₇₉	—	2	8	no	—
572	D₄×C₇₉	—	4	8	no	—
573	D₄×C₇₉	—	4	8	no	—
574	D₄×C₇₉	—	4	4	no	—
575	D₄×C₇₉	—	4	4	no	—
576	D₄×C₇₉	—	4	4	no	—
577	D₄×C₇₉	—	4	8	no	—
578	C₂×C₄×C₇₉	—	2	4	no	—
579	C₂×C₄×C₇₉	—	2	2	no	—
580	C₂×C₄×C₇₉	—	2	2	no	—
581	C₂×C₄×C₇₉	—	2	4	no	—
582	C₂×C₄×C₇₉	—	2	4	no	—
583	C₂×C₄×C₇₉	—	2	2	no	—
584	C₂×C₄×C₇₉	—	2	8	no	—
585	C₂×C₄×C₇₉	—	2	8	no	—
586	C₂×C₄×C₇₉	—	2	8	no	—
587	C₂×C₄×C₇₉	—	4	8	no	—
588	C₂×C₄×C₇₉	—	4	8	no	—
589	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
590	C₂×C₄×C₇₉	C₂⁵	1	4	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	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
595	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
596	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
597	C₂²⋊D₇₉	—	2	16	no	—
598	C₂²⋊D₇₉	—	2	8	no	—
599	C₂²⋊D₇₉	—	2	8	no	—
600	C₂²⋊D₇₉	—	2	8	no	—
601	C₂²⋊D₇₉	—	2	8	no	—
602	C₂²⋊D₇₉	—	4	8	no	—
603	C₂²⋊D₇₉	—	4	8	no	—
604	C₂²⋊D₇₉	—	4	8	no	—
605	C₂²⋊D₇₉	—	4	8	no	—
606	C₂×Dic₇₉	—	2	2	no	—
607	C₂×Dic₇₉	—	2	2	no	—
608	C₂×Dic₇₉	—	2	4	no	—
609	C₂×Dic₇₉	—	2	2	no	—
610	C₂×Dic₇₉	—	2	4	no	—
611	C₂×Dic₇₉	—	2	4	no	—
612	C₂×Dic₇₉	—	2	2	no	—
613	C₂×Dic₇₉	—	2	2	no	—
614	C₂×Dic₇₉	—	2	2	no	—
615	C₂×Dic₇₉	—	4	4	no	—
616	C₂×Dic₇₉	—	4	8	no	—
617	C₂×Dic₇₉	—	4	8	no	—
618	C₂×Dic₇₉	C₂⁵	1	2	yes	—
619	C₂×Dic₇₉	C₂⁵	1	2	yes	—
620	C₂×Dic₇₉	C₂⁵	1	2	yes	—
621	C₂×Dic₇₉	C₂⁵	1	4	yes	—
622	C₂×Dic₇₉	C₂⁵	1	2	yes	—
623	C₂×Dic₇₉	C₂⁵	1	4	yes	—
624	C₂×Dic₇₉	C₂⁵	1	2	yes	—
625	C₂×Dic₇₉	C₂⁵	1	4	yes	—
626	C₂×Dic₇₉	C₂⁵	1	2	yes	—
627	D₃₁₆	—	2	16	no	—
628	D₃₁₆	—	2	8	no	—
629	C₄×D₇₉	—	2	16	no	—
630	C₄×D₇₉	—	2	8	no	—
631	C₄×D₇₉	—	2	8	no	—
632	C₄×D₇₉	—	4	4	no	—
633	C₄×D₇₉	—	4	4	no	—
634	C₄×D₇₉	—	4	8	no	—
635	C₄×D₇₉	—	4	8	no	—
636	C₄×D₇₉	—	4	8	no	—
637	C₄×D₇₉	—	4	8	no	—
638	Dic₁₅₈	—	2	8	no	—
639	Dic₁₅₈	—	4	8	no	—
640	Dic₁₅₈	—	4	8	no	—
641	Dic₁₅₈	—	4	8	no	—
642	C₂²×C₇₉	—	2	2	no	—
643	C₂²×C₇₉	—	2	4	no	—
644	C₂²×C₇₉	—	2	2	no	—
645	C₂²×C₇₉	—	2	2	no	—
646	C₂²×C₇₉	—	2	2	no	—
647	C₂²×C₇₉	—	2	4	no	—
648	C₂²×C₇₉	—	2	2	no	—
649	C₂²×C₇₉	—	2	2	no	—
650	C₂²×C₇₉	—	2	2	no	—
651	C₂²×C₇₉	—	2	2	no	—
652	C₂²×C₇₉	—	2	2	no	—
653	C₂²×C₇₉	—	2	4	no	—
654	C₂²×C₇₉	—	4	4	no	—
655	C₂²×C₇₉	—	4	8	no	—
656	C₂²×C₇₉	—	4	4	no	—
657	C₂²×C₇₉	—	4	4	no	—
658	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
659	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
660	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
661	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
662	C₂×D₇₉	—	2	2	no	—
663	C₂×D₇₉	—	2	2	no	—
664	C₂×D₇₉	—	2	2	no	—
665	C₂×D₇₉	—	2	2	no	—
666	C₂×D₇₉	—	2	8	no	—
667	C₂×D₇₉	—	2	8	no	—
668	C₂×D₇₉	—	2	4	no	—
669	C₂×D₇₉	—	2	4	no	—
670	C₂×D₇₉	—	2	4	no	—
671	C₂×D₇₉	—	4	16	no	—
672	C₂×D₇₉	—	4	8	no	—
673	C₂×D₇₉	—	8	16	no	—
674	C₂×D₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
675	C₂×D₇₉	C₂×2₋¹⁺⁴	1	4	yes	—
676	C₄×C₇₉	—	2	2	no	—
677	C₄×C₇₉	—	2	2	no	—
678	C₄×C₇₉	—	2	2	no	—
679	C₄×C₇₉	—	2	4	no	—
680	C₄×C₇₉	—	2	4	no	—
681	C₄×C₇₉	—	2	4	no	—
682	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
683	Dic₇₉	—	2	4	no	—
684	Dic₇₉	—	2	2	no	—
685	Dic₇₉	—	2	2	no	—
686	Dic₇₉	—	2	2	no	—
687	Dic₇₉	—	2	4	no	—
688	Dic₇₉	—	2	4	no	—
689	Dic₇₉	—	2	2	no	—
690	Dic₇₉	—	2	2	no	—
691	Dic₇₉	—	2	2	no	—
692	C₂×#3536	—	79	1	no	maximal, Sylow
693	C₂×C₇₉	—	4	2	no	—
694	C₂×C₇₉	—	4	4	no	—
695	C₂×C₇₉	—	4	2	no	—
696	C₂×C₇₉	—	4	2	no	—
697	C₂×C₇₉	#3536	1	4	yes	complemented
698	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂×C₇₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
701	D₇₉	—	2	4	no	—
702	D₇₉	—	2	4	no	—
703	D₇₉	—	4	4	no	—
704	#3536	—	79	32	no	—
705	C₂×#562	—	79	2	no	—
706	C₂×#562	—	79	2	no	—
707	C₂×#554	—	79	1	no	—
708	C₂×#554	—	79	1	no	—
709	C₂×#548	—	79	1	no	—
710	C₂×#548	—	79	1	no	—
711	C₂×#547	—	79	1	no	—
712	C₂×#547	—	79	1	no	—
713	C₂×#546	—	79	1	no	—
714	C₂×#546	—	79	2	no	—
715	C₂×#546	—	79	2	no	—
716	C₂×#546	—	79	1	no	—
717	C₂×#543	—	79	2	no	—
718	C₂×#542	—	79	1	no	—
719	C₂×#542	—	79	1	no	—
720	C₂×#539	—	79	2	no	—
721	C₂×#538	—	79	2	no	—
722	C₂×#537	—	79	1	no	—
723	C₂×#537	—	79	2	no	—
724	C₂×#537	D₇₉	1	1	yes	characteristic, complemented
725	C₂×#525	—	79	1	no	—
726	C₂²×C₂²⋊Q₈	—	79	1	no	—
727	C₂²×#121	—	79	1	no	—
728	C₇₉	C₂×#3536	1	1	yes	characteristic, complemented, Sylow
729	C₂²×#41	—	79	2	no	—
730	C₂²×#41	—	79	2	no	—
731	C₂²×#41	—	79	1	no	—
732	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
733	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
734	C₂³×Q₈	—	79	1	no	—
735	C₂³×D₄	—	79	2	no	—
736	C₂³×D₄	—	79	1	no	—
737	C₂⁴×C₄	—	79	1	no	—
738	#562	—	79	32	no	—
739	#562	—	79	32	no	—
740	#554	—	79	16	no	—
741	#554	—	79	16	no	—
742	#548	—	79	16	no	—
743	#548	—	79	16	no	—
744	#547	—	79	16	no	—
745	#547	—	79	16	no	—
746	#546	—	79	16	no	—
747	#546	—	79	32	no	—
748	#546	—	79	32	no	—
749	#546	—	79	16	no	—
750	#543	—	79	32	no	—
751	#542	—	79	16	no	—
752	#542	—	79	16	no	—
753	#539	—	79	32	no	—
754	#538	—	79	32	no	—
755	#537	—	79	16	no	—
756	#537	—	79	32	no	—
757	#537	C₂×D₇₉	1	16	yes	complemented
758	C₂×C₄⋊Q₈	—	79	1	no	—
759	C₂×C₄⋊Q₈	—	79	1	no	—
760	C₂×#126	—	79	2	no	—
761	C₂×#126	—	79	2	no	—
762	C₂×#125	—	79	2	no	—
763	C₂×#125	—	79	2	no	—
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	C₂×#124	—	79	2	no	—
769	C₂×#124	—	79	2	no	—
770	#525	—	79	16	no	—
771	C₂×#123	—	79	1	no	—
772	C₂×#123	—	79	1	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	—	79	2	no	—
780	C₂×#123	—	79	2	no	—
781	C₂×C₂²⋊Q₈	—	79	1	no	—
782	C₂×C₂²⋊Q₈	—	79	1	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	1	no	—
787	C₂×C₂²⋊Q₈	—	79	2	no	—
788	C₂×C₂²⋊Q₈	—	79	2	no	—
789	C₂×C₂²⋊Q₈	—	79	16	no	—
790	C₂×C₂²⋊Q₈	—	79	2	no	—
791	C₂×C₂²⋊Q₈	—	79	1	no	—
792	C₂×C₂²⋊Q₈	—	79	2	no	—
793	C₂×C₂²⋊Q₈	—	79	2	no	—
794	C₂×C₂²⋊Q₈	—	79	2	no	—
795	C₂×C₂²⋊Q₈	—	79	2	no	—
796	C₂×C₂²⋊Q₈	—	79	2	no	—
797	C₂×C₂²⋊Q₈	—	79	2	no	—
798	C₂×C₂²⋊Q₈	—	79	2	no	—
799	C₂×C₂²⋊Q₈	—	79	2	no	—
800	C₂×C₂²⋊Q₈	—	79	2	no	—
801	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
802	C₂×C₂²⋊Q₈	C₂×D₇₉	1	2	yes	complemented
803	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
804	C₂×#121	—	79	1	no	—
805	C₂×#121	—	79	2	no	—
806	C₂×#121	—	79	1	no	—
807	C₂×#121	—	79	1	no	—
808	C₂×#121	—	79	2	no	—
809	C₂×#121	—	79	2	no	—
810	C₂×#121	—	79	2	no	—
811	C₂×#121	—	79	2	no	—
812	C₂×#121	—	79	2	no	—
813	C₂×#121	—	79	2	no	—
814	C₂×#121	—	79	1	no	—
815	C₂×#121	—	79	1	no	—
816	C₂×#121	—	79	16	no	—
817	C₂×#121	—	79	1	no	—
818	C₂×#121	—	79	2	no	—
819	C₂×#121	—	79	2	no	—
820	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
821	C₂×#121	C₂×D₇₉	1	2	yes	complemented
822	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
823	C₂×#121	C₂×D₇₉	1	2	yes	complemented
824	C₂×#121	C₂×D₇₉	1	2	yes	complemented
825	C₂×#120	—	79	1	no	—
826	C₂×#120	—	79	1	no	—
827	C₂×#120	—	79	2	no	—
828	C₂×#120	—	79	2	no	—
829	C₂×C₄×Q₈	—	79	1	no	—
830	C₂×C₄×Q₈	—	79	1	no	—
831	C₂×C₄×D₄	—	79	1	no	—
832	C₂×C₄×D₄	—	79	1	no	—
833	C₂×C₄×D₄	—	79	1	no	—
834	C₂×C₄×D₄	—	79	1	no	—
835	C₂×C₄×D₄	—	79	1	no	—
836	C₂×C₄×D₄	—	79	2	no	—
837	C₂×C₄×D₄	—	79	2	no	—
838	C₂×C₄×D₄	—	79	2	no	—
839	C₂×C₄×D₄	—	79	1	no	—
840	C₂×C₄×D₄	—	79	2	no	—
841	C₂×#117	—	79	1	no	—
842	C₂²×C₄⋊C₄	—	79	1	no	—
843	C₂²×C₄⋊C₄	—	79	1	no	—
844	C₂²×C₄⋊C₄	—	79	2	no	—
845	C₂²×C₄⋊C₄	—	79	1	no	—
846	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
847	C₂²×C₂²⋊C₄	—	79	2	no	—
848	C₂²×C₂²⋊C₄	—	79	2	no	—
849	C₂²×C₂²⋊C₄	—	79	2	no	—
850	C₂²×C₂²⋊C₄	—	79	2	no	—
851	C₂⁵	—	79	2	no	—
852	C₂⁵	—	79	1	no	—
853	C₂×#41	—	4	4	no	—
854	C₂×#41	—	4	4	no	—
855	C₂×#41	—	316	4	no	—
856	C₂×#41	—	316	8	no	—
857	C₂×#41	—	316	8	no	—
858	C₂×#41	—	79	16	no	—
859	C₂×#41	—	79	16	no	—
860	C₂×#41	—	79	8	no	—
861	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
862	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
863	C₂²×Q₈	—	316	4	no	—
864	C₂²×Q₈	—	79	8	no	—
865	C₂²×Q₈	—	79	2	no	—
866	C₂²×Q₈	—	79	2	no	—
867	C₂²×Q₈	—	79	2	no	—
868	C₂²×Q₈	—	79	1	no	—
869	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
870	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
871	C₂²×D₄	—	316	8	no	—
872	C₂²×D₄	—	316	4	no	—
873	C₂²×D₄	—	79	2	no	—
874	C₂²×D₄	—	79	2	no	—
875	C₂²×D₄	—	79	2	no	—
876	C₂²×D₄	—	79	2	no	—
877	C₂²×D₄	—	79	16	no	—
878	C₂²×D₄	—	79	8	no	—
879	C₂²×D₄	—	79	1	no	—
880	C₂²×D₄	—	79	1	no	—
881	C₂²×D₄	—	79	1	no	—
882	C₂²×D₄	—	79	1	no	—
883	C₂²×D₄	—	79	2	no	—
884	C₂²×D₄	—	79	2	no	—
885	C₂²×D₄	—	79	1	no	—
886	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
887	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
888	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
889	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
890	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
891	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
892	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
893	C₂³×C₄	—	316	4	no	—
894	C₂³×C₄	—	79	2	no	—
895	C₂³×C₄	—	79	2	no	—
896	C₂³×C₄	—	79	1	no	—
897	C₂³×C₄	—	79	1	no	—
898	C₂³×C₄	—	79	2	no	—
899	C₂³×C₄	—	79	2	no	—
900	C₂³×C₄	—	79	2	no	—
901	C₂³×C₄	—	79	2	no	—
902	C₂³×C₄	—	79	1	no	—
903	C₂³×C₄	—	79	8	no	—
904	C₂³×C₄	—	79	2	no	—
905	C₂³×C₄	—	79	1	no	—
906	C₂³×C₄	—	79	1	no	—
907	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
908	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
909	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
910	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
911	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
912	C₄⋊Q₈	—	79	8	no	—
913	C₄⋊Q₈	—	79	8	no	—
914	#126	—	79	16	no	—
915	#126	—	79	16	no	—
916	#125	—	79	16	no	—
917	#125	—	79	16	no	—
918	#124	—	79	8	no	—
919	#124	—	79	16	no	—
920	#124	—	79	8	no	—
921	#124	—	79	16	no	—
922	#124	—	79	16	no	—
923	#124	—	79	16	no	—
924	#123	—	79	8	no	—
925	#123	—	79	8	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	—	79	16	no	—
932	#123	—	79	16	no	—
933	#123	—	79	16	no	—
934	C₂²⋊Q₈	—	79	8	no	—
935	C₂²⋊Q₈	—	79	8	no	—
936	C₂²⋊Q₈	—	79	8	no	—
937	C₂²⋊Q₈	—	79	16	no	—
938	C₂²⋊Q₈	—	79	8	no	—
939	C₂²⋊Q₈	—	79	8	no	—
940	C₂²⋊Q₈	—	79	16	no	—
941	C₂²⋊Q₈	—	79	16	no	—
942	C₂²⋊Q₈	—	79	16	no	—
943	C₂²⋊Q₈	—	79	8	no	—
944	C₂²⋊Q₈	—	79	16	no	—
945	C₂²⋊Q₈	—	79	16	no	—
946	C₂²⋊Q₈	—	79	16	no	—
947	C₂²⋊Q₈	—	79	16	no	—
948	C₂²⋊Q₈	—	79	16	no	—
949	C₂²⋊Q₈	—	79	16	no	—
950	C₂²⋊Q₈	—	79	16	no	—
951	C₂²⋊Q₈	—	79	16	no	—
952	C₂²⋊Q₈	—	79	16	no	—
953	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
954	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
955	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
956	#121	—	79	8	no	—
957	#121	—	79	16	no	—
958	#121	—	79	8	no	—
959	#121	—	79	8	no	—
960	#121	—	79	16	no	—
961	#121	—	79	16	no	—
962	#121	—	79	16	no	—
963	#121	—	79	16	no	—
964	#121	—	79	16	no	—
965	#121	—	79	16	no	—
966	#121	—	79	8	no	—
967	#121	—	79	8	no	—
968	#121	—	79	8	no	—
969	#121	—	79	16	no	—
970	#121	—	79	16	no	—
971	#121	C₂²×D₇₉	1	8	yes	—
972	#121	C₂²×D₇₉	1	16	yes	complemented
973	#121	C₂²×D₇₉	1	8	yes	complemented
974	#121	C₂²×D₇₉	1	16	yes	complemented
975	#121	C₂²×D₇₉	1	16	yes	complemented
976	#120	—	79	8	no	—
977	#120	—	79	8	no	—
978	#120	—	79	16	no	—
979	#120	—	79	16	no	—
980	C₄×Q₈	—	79	8	no	—
981	C₄×Q₈	—	79	8	no	—
982	C₄×D₄	—	79	8	no	—
983	C₄×D₄	—	79	8	no	—
984	C₄×D₄	—	79	8	no	—
985	C₄×D₄	—	79	8	no	—
986	C₄×D₄	—	79	8	no	—
987	C₄×D₄	—	79	16	no	—
988	C₄×D₄	—	79	16	no	—
989	C₄×D₄	—	79	16	no	—
990	C₄×D₄	—	79	8	no	—
991	C₄×D₄	—	79	16	no	—
992	#117	—	79	8	no	—
993	C₂×C₄⋊C₄	—	79	1	no	—
994	C₂×C₄⋊C₄	—	79	1	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	2	no	—
1001	C₂×C₄⋊C₄	—	79	8	no	—
1002	C₂×C₄⋊C₄	—	79	1	no	—
1003	C₂×C₄⋊C₄	—	79	1	no	—
1004	C₂×C₄⋊C₄	—	79	2	no	—
1005	C₂×C₄⋊C₄	—	79	1	no	—
1006	C₂×C₄⋊C₄	—	79	1	no	—
1007	C₂×C₄⋊C₄	—	79	1	no	—
1008	C₂×C₄⋊C₄	—	79	1	no	—
1009	C₂×C₄⋊C₄	—	79	2	no	—
1010	C₂×C₄⋊C₄	—	79	2	no	—
1011	C₂×C₄⋊C₄	—	79	2	no	—
1012	C₂×C₄⋊C₄	—	79	2	no	—
1013	C₂×C₄⋊C₄	—	79	8	no	—
1014	C₂×C₄⋊C₄	—	79	16	no	—
1015	C₂×C₄⋊C₄	—	79	8	no	—
1016	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1019	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1022	C₂×C₂²⋊C₄	—	79	2	no	—
1023	C₂×C₂²⋊C₄	—	79	2	no	—
1024	C₂×C₂²⋊C₄	—	79	2	no	—
1025	C₂×C₂²⋊C₄	—	79	1	no	—
1026	C₂×C₂²⋊C₄	—	79	1	no	—
1027	C₂×C₂²⋊C₄	—	79	2	no	—
1028	C₂×C₂²⋊C₄	—	79	2	no	—
1029	C₂×C₂²⋊C₄	—	79	1	no	—
1030	C₂×C₂²⋊C₄	—	79	1	no	—
1031	C₂×C₂²⋊C₄	—	79	2	no	—
1032	C₂×C₂²⋊C₄	—	79	1	no	—
1033	C₂×C₂²⋊C₄	—	79	1	no	—
1034	C₂×C₂²⋊C₄	—	79	1	no	—
1035	C₂×C₂²⋊C₄	—	79	1	no	—
1036	C₂×C₂²⋊C₄	—	79	2	no	—
1037	C₂×C₂²⋊C₄	—	79	2	no	—
1038	C₂×C₂²⋊C₄	—	79	2	no	—
1039	C₂×C₂²⋊C₄	—	79	2	no	—
1040	C₂×C₂²⋊C₄	—	79	2	no	—
1041	C₂×C₂²⋊C₄	—	79	2	no	—
1042	C₂×C₂²⋊C₄	—	79	16	no	—
1043	C₂×C₂²⋊C₄	—	79	1	no	—
1044	C₂×C₂²⋊C₄	—	79	1	no	—
1045	C₂×C₂²⋊C₄	—	79	2	no	—
1046	C₂×C₂²⋊C₄	—	79	2	no	—
1047	C₂×C₂²⋊C₄	—	79	16	no	—
1048	C₂×C₂²⋊C₄	—	79	16	no	—
1049	C₂×C₂²⋊C₄	—	79	16	no	—
1050	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1054	C₂×C₄²	—	79	1	no	—
1055	C₂×C₄²	—	79	1	no	—
1056	C₂×C₄²	—	79	2	no	—
1057	C₂×C₄²	—	79	2	no	—
1058	C₂⁴	—	316	2	no	—
1059	C₂⁴	—	316	4	no	—
1060	C₂⁴	—	316	4	no	—
1061	C₂⁴	—	79	8	no	—
1062	C₂⁴	—	79	4	no	—
1063	C₂⁴	—	79	1	no	—
1064	C₂⁴	—	79	1	no	—
1065	C₂⁴	—	79	2	no	—
1066	C₂⁴	—	158	4	no	—
1067	C₂⁴	—	158	4	no	—
1068	C₂⁴	—	158	8	no	—
1069	C₂⁴	C₂³×D₇₉	1	2	yes	—
1070	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1071	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1072	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1073	#41	—	4	16	no	—
1074	#41	—	4	16	no	—
1075	#41	—	316	16	no	—
1076	#41	—	316	32	no	—
1077	#41	—	316	32	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	4	2	no	—
1080	C₂×Q₈	—	316	4	no	—
1081	C₂×Q₈	—	316	4	no	—
1082	C₂×Q₈	—	316	4	no	—
1083	C₂×Q₈	—	316	16	no	—
1084	C₂×Q₈	—	79	8	no	—
1085	C₂×Q₈	—	79	8	no	—
1086	C₂×Q₈	—	79	8	no	—
1087	C₂×Q₈	—	79	4	no	—
1088	C₂×Q₈	—	158	4	no	—
1089	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1090	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	2	no	—
1094	C₂×D₄	—	4	2	no	—
1095	C₂×D₄	—	4	2	no	—
1096	C₂×D₄	—	4	4	no	—
1097	C₂×D₄	—	4	4	no	—
1098	C₂×D₄	—	316	32	no	—
1099	C₂×D₄	—	316	16	no	—
1100	C₂×D₄	—	316	4	no	—
1101	C₂×D₄	—	316	4	no	—
1102	C₂×D₄	—	316	4	no	—
1103	C₂×D₄	—	316	4	no	—
1104	C₂×D₄	—	79	8	no	—
1105	C₂×D₄	—	79	8	no	—
1106	C₂×D₄	—	79	8	no	—
1107	C₂×D₄	—	79	8	no	—
1108	C₂×D₄	—	79	4	no	—
1109	C₂×D₄	—	79	4	no	—
1110	C₂×D₄	—	79	4	no	—
1111	C₂×D₄	—	79	4	no	—
1112	C₂×D₄	—	79	8	no	—
1113	C₂×D₄	—	79	8	no	—
1114	C₂×D₄	—	79	4	no	—
1115	C₂×D₄	—	158	8	no	—
1116	C₂×D₄	—	158	8	no	—
1117	C₂×D₄	—	158	4	no	—
1118	C₂×D₄	—	158	4	no	—
1119	C₂×D₄	—	158	4	no	—
1120	C₂×D₄	—	158	4	no	—
1121	C₂×D₄	—	158	4	no	—
1122	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1123	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1124	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1125	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1126	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1127	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1128	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1129	C₂²×C₄	—	2	4	no	—
1130	C₂²×C₄	—	2	4	no	—
1131	C₂²×C₄	—	2	4	no	—
1132	C₂²×C₄	—	4	4	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	316	2	no	—
1135	C₂²×C₄	—	316	2	no	—
1136	C₂²×C₄	—	316	4	no	—
1137	C₂²×C₄	—	316	4	no	—
1138	C₂²×C₄	—	316	4	no	—
1139	C₂²×C₄	—	316	4	no	—
1140	C₂²×C₄	—	316	16	no	—
1141	C₂²×C₄	—	316	2	no	—
1142	C₂²×C₄	—	316	4	no	—
1143	C₂²×C₄	—	316	4	no	—
1144	C₂²×C₄	—	79	8	no	—
1145	C₂²×C₄	—	79	8	no	—
1146	C₂²×C₄	—	79	4	no	—
1147	C₂²×C₄	—	79	4	no	—
1148	C₂²×C₄	—	79	8	no	—
1149	C₂²×C₄	—	79	8	no	—
1150	C₂²×C₄	—	79	8	no	—
1151	C₂²×C₄	—	79	8	no	—
1152	C₂²×C₄	—	79	4	no	—
1153	C₂²×C₄	—	79	1	no	—
1154	C₂²×C₄	—	79	1	no	—
1155	C₂²×C₄	—	79	1	no	—
1156	C₂²×C₄	—	79	1	no	—
1157	C₂²×C₄	—	79	2	no	—
1158	C₂²×C₄	—	79	2	no	—
1159	C₂²×C₄	—	79	1	no	—
1160	C₂²×C₄	—	79	2	no	—
1161	C₂²×C₄	—	79	1	no	—
1162	C₂²×C₄	—	79	8	no	—
1163	C₂²×C₄	—	79	4	no	—
1164	C₂²×C₄	—	79	4	no	—
1165	C₂²×C₄	—	158	8	no	—
1166	C₂²×C₄	—	158	4	no	—
1167	C₂²×C₄	—	158	4	no	—
1168	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1169	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1170	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1171	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1172	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1173	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1177	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1178	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1179	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1180	C₄⋊C₄	—	79	8	no	—
1181	C₄⋊C₄	—	79	8	no	—
1182	C₄⋊C₄	—	79	8	no	—
1183	C₄⋊C₄	—	79	8	no	—
1184	C₄⋊C₄	—	79	8	no	—
1185	C₄⋊C₄	—	79	4	no	—
1186	C₄⋊C₄	—	79	4	no	—
1187	C₄⋊C₄	—	79	4	no	—
1188	C₄⋊C₄	—	79	4	no	—
1189	C₄⋊C₄	—	79	8	no	—
1190	C₄⋊C₄	—	79	8	no	—
1191	C₄⋊C₄	—	79	8	no	—
1192	C₄⋊C₄	—	79	4	no	—
1193	C₄⋊C₄	—	79	4	no	—
1194	C₄⋊C₄	—	79	8	no	—
1195	C₄⋊C₄	—	79	8	no	—
1196	C₄⋊C₄	—	79	4	no	—
1197	C₄⋊C₄	—	79	4	no	—
1198	C₄⋊C₄	—	79	8	no	—
1199	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1200	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1201	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1202	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1203	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1204	C₂²⋊C₄	—	79	8	no	—
1205	C₂²⋊C₄	—	79	8	no	—
1206	C₂²⋊C₄	—	79	8	no	—
1207	C₂²⋊C₄	—	79	4	no	—
1208	C₂²⋊C₄	—	79	4	no	—
1209	C₂²⋊C₄	—	79	8	no	—
1210	C₂²⋊C₄	—	79	8	no	—
1211	C₂²⋊C₄	—	79	4	no	—
1212	C₂²⋊C₄	—	79	4	no	—
1213	C₂²⋊C₄	—	79	8	no	—
1214	C₂²⋊C₄	—	79	4	no	—
1215	C₂²⋊C₄	—	79	4	no	—
1216	C₂²⋊C₄	—	79	4	no	—
1217	C₂²⋊C₄	—	79	4	no	—
1218	C₂²⋊C₄	—	79	8	no	—
1219	C₂²⋊C₄	—	79	8	no	—
1220	C₂²⋊C₄	—	79	8	no	—
1221	C₂²⋊C₄	—	79	8	no	—
1222	C₂²⋊C₄	—	79	8	no	—
1223	C₂²⋊C₄	—	79	8	no	—
1224	C₂²⋊C₄	—	79	4	no	—
1225	C₂²⋊C₄	—	79	4	no	—
1226	C₂²⋊C₄	—	79	8	no	—
1227	C₂²⋊C₄	—	79	8	no	—
1228	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1230	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1231	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1232	C₄²	—	79	4	no	—
1233	C₄²	—	79	4	no	—
1234	C₄²	—	79	8	no	—
1235	C₄²	—	79	8	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	4	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	316	4	no	—
1249	C₂³	—	316	8	no	—
1250	C₂³	—	316	8	no	—
1251	C₂³	—	316	16	no	—
1252	C₂³	—	79	4	no	—
1253	C₂³	—	79	4	no	—
1254	C₂³	—	79	2	no	—
1255	C₂³	—	79	2	no	—
1256	C₂³	—	79	4	no	—
1257	C₂³	—	632	16	no	—
1258	C₂³	—	158	8	no	—
1259	C₂³	—	158	8	no	—
1260	C₂³	—	158	16	no	—
1261	C₂³	—	158	4	no	—
1262	C₂³	—	158	4	no	—
1263	C₂³	—	158	4	no	—
1264	C₂³	—	158	2	no	—
1265	C₂³	—	158	2	no	—
1266	C₂³	—	158	2	no	—
1267	C₂³	—	158	2	no	—
1268	C₂³	C₂⁴×D₇₉	1	4	yes	—
1269	C₂³	C₂⁴×D₇₉	1	2	yes	—
1270	C₂³	C₂⁴×D₇₉	1	2	yes	—
1271	C₂³	C₂⁴×D₇₉	1	2	yes	—
1272	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1273	Q₈	—	2	8	no	—
1274	Q₈	—	4	4	no	—
1275	Q₈	—	316	8	no	—
1276	Q₈	—	316	8	no	—
1277	Q₈	—	316	8	no	—
1278	Q₈	—	158	8	no	—
1279	D₄	—	2	8	no	—
1280	D₄	—	4	8	no	—
1281	D₄	—	4	4	no	—
1282	D₄	—	4	4	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	8	no	—
1285	D₄	—	4	8	no	—
1286	D₄	—	316	8	no	—
1287	D₄	—	316	8	no	—
1288	D₄	—	316	8	no	—
1289	D₄	—	316	8	no	—
1290	D₄	—	158	16	no	—
1291	D₄	—	158	16	no	—
1292	D₄	—	158	8	no	—
1293	D₄	—	158	8	no	—
1294	D₄	—	158	8	no	—
1295	D₄	—	158	8	no	—
1296	D₄	—	158	8	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	8	no	—
1304	C₂×C₄	—	2	8	no	—
1305	C₂×C₄	—	2	8	no	—
1306	C₂×C₄	—	4	8	no	—
1307	C₂×C₄	—	4	8	no	—
1308	C₂×C₄	—	316	4	no	—
1309	C₂×C₄	—	316	4	no	—
1310	C₂×C₄	—	316	8	no	—
1311	C₂×C₄	—	316	8	no	—
1312	C₂×C₄	—	316	8	no	—
1313	C₂×C₄	—	316	8	no	—
1314	C₂×C₄	—	316	4	no	—
1315	C₂×C₄	—	316	8	no	—
1316	C₂×C₄	—	316	8	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	—	79	4	no	—
1325	C₂×C₄	—	79	2	no	—
1326	C₂×C₄	—	158	16	no	—
1327	C₂×C₄	—	158	4	no	—
1328	C₂×C₄	—	158	4	no	—
1329	C₂×C₄	—	158	2	no	—
1330	C₂×C₄	—	158	2	no	—
1331	C₂×C₄	—	158	2	no	—
1332	C₂×C₄	—	158	2	no	—
1333	C₂×C₄	—	158	4	no	—
1334	C₂×C₄	—	158	2	no	—
1335	C₂×C₄	—	158	2	no	—
1336	C₂×C₄	—	158	8	no	—
1337	C₂×C₄	—	158	8	no	—
1338	C₂×C₄	#14579206	1	4	yes	—
1339	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1340	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1343	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1345	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	4	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	4	no	—
1354	C₂²	—	2	2	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	2	2	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	4	4	no	—
1359	C₂²	—	4	8	no	—
1360	C₂²	—	4	4	no	—
1361	C₂²	—	4	4	no	—
1362	C₂²	—	316	16	no	—
1363	C₂²	—	316	8	no	—
1364	C₂²	—	79	4	no	—
1365	C₂²	—	79	4	no	—
1366	C₂²	—	632	16	no	—
1367	C₂²	—	158	4	no	—
1368	C₂²	—	158	4	no	—
1369	C₂²	—	158	4	no	—
1370	C₂²	—	158	8	no	—
1371	C₂²	—	158	8	no	—
1372	C₂²	—	158	2	no	—
1373	C₂²	—	158	2	no	—
1374	C₂²	—	158	2	no	—
1375	C₂²	—	158	2	no	—
1376	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1377	C₂²	C₂×#14579206	1	2	yes	—
1378	C₂²	2₋¹⁺⁴×D₇₉	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	—	158	4	no	—
1387	C₄	—	158	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	2	no	—
1395	C₄	C₂×#14579206	1	4	yes	—
1396	C₂	—	4	2	no	—
1397	C₂	—	4	4	no	—
1398	C₂	—	4	2	no	—
1399	C₂	—	4	2	no	—
1400	C₂	—	316	4	no	—
1401	C₂	—	158	4	no	—
1402	C₂	—	158	4	no	—
1403	C₂	#23777618	1	4	yes	direct product factor
1404	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1405	C₂	C₂²×#14579206	1	1	yes	characteristic
1406	C₂	C₂×2₋¹⁺⁴×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#537×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#537	D₇₉
hypocenter	C₇₉	C₂×#3536
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#537

Complements

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

N	H ≅ G/N	type
1. #23777618	C₂	direct (N × H)
2. C₂×#19099308	C₂	semidirect
3. C₂×#19099308	C₂	semidirect
4. C₂×#19099271	C₂	semidirect
5. C₂×#19099268	C₂	semidirect
6. C₂×#19099223	C₂	semidirect
7. C₂×#19099220	C₂	semidirect
8. C₂×#19099214	C₂	semidirect
9. C₂×#19099213	C₂	semidirect
10. C₂×#19099210	C₂	semidirect
11. C₂×#19099210	C₂	semidirect
12. C₂×#19099202	C₂	semidirect
13. C₂×#19099201	C₂	semidirect
14. C₂×#19099188	C₂	semidirect
15. C₂×#19099186	C₂	semidirect
16. C₂×#19099180	C₂	semidirect
17. C₂×#19099159	C₂	semidirect
18. C₂×#19099145	C₂	semidirect
19. C₂×#19099142	C₂	semidirect
20. C₂×#19099141	C₂	semidirect
21. C₂×#19099070	C₂	semidirect
22. C₂×C₂²⋊Q₈×D₇₉	C₂	semidirect
23. C₂×#121×D₇₉	C₂	semidirect
24. C₂×#537×C₇₉	C₂	semidirect
25. C₂²×#11929624	C₂²	semidirect
26. C₂²×#11929624	C₂²	semidirect
27. C₂²×#11929623	C₂²	semidirect
28. C₂²×Q₈×D₇₉	C₂²	semidirect
32. #19099308	C₂²	semidirect
33. #19099308	C₂²	semidirect
34. #19099271	C₂²	semidirect
35. #19099268	C₂²	semidirect
36. #19099223	C₂²	semidirect
37. #19099220	C₂²	semidirect
38. #19099214	C₂²	semidirect
39. #19099213	C₂²	semidirect
40. #19099210	C₂²	semidirect
41. #19099210	C₂²	semidirect
42. #19099202	C₂²	semidirect
43. #19099201	C₂²	semidirect
44. #19099188	C₂²	semidirect
45. #19099186	C₂²	semidirect
46. #19099180	C₂²	semidirect
47. #19099159	C₂²	semidirect
48. #19099145	C₂²	semidirect
49. #19099142	C₂²	semidirect
50. #19099141	C₂²	semidirect
51. C₂×#14579160	C₂²	semidirect
52. C₂×#14579160	C₂²	semidirect
53. C₂×#14579156	C₂²	semidirect
54. C₂×#14579154	C₂²	semidirect
55. C₂×#14579151	C₂²	semidirect
56. C₂×#14579151	C₂²	semidirect
57. C₂×#14579150	C₂²	semidirect
58. C₂×#14579148	C₂²	semidirect
59. C₂×#14579148	C₂²	semidirect
60. C₂×#14579148	C₂²	semidirect
61. C₂×#14579147	C₂²	semidirect
62. C₂×#14579147	C₂²	semidirect
63. #19099070	C₂²	semidirect
64. C₂×#14579146	C₂²	semidirect
65. C₂×#14579144	C₂²	semidirect
66. C₂×#14579144	C₂²	semidirect
67. C₂×#14579143	C₂²	semidirect
68. C₂×#14579143	C₂²	semidirect
69. C₂×#14579143	C₂²	semidirect
70. C₂×#14579142	C₂²	semidirect
71. C₂×#14579142	C₂²	semidirect
72. C₂×#14579142	C₂²	semidirect
73. C₂×#14579142	C₂²	semidirect
76. C₂×#14579141	C₂²	semidirect
77. C₂×#14579140	C₂²	semidirect
78. C₂×#14579140	C₂²	semidirect
79. C₂×#14579140	C₂²	semidirect
80. C₂×#14579140	C₂²	semidirect
83. C₂×#14579139	C₂²	semidirect
84. C₂×#14579139	C₂²	semidirect
85. C₂×#14579138	C₂²	semidirect
86. C₂×#14579138	C₂²	semidirect
87. C₂×#14579138	C₂²	semidirect
88. C₂×#14579138	C₂²	semidirect
91. C₂×#14579137	C₂²	semidirect
92. C₂×#14579137	C₂²	semidirect
93. C₂²⋊Q₈×D₇₉	C₂²	semidirect
96. C₂×#14579135	C₂²	semidirect
98. C₂×#14579134	C₂²	semidirect
100. C₂×#14579133	C₂²	semidirect
101. C₂×#14579133	C₂²	semidirect
102. C₂×#14579133	C₂²	semidirect
105. C₂×#14579132	C₂²	semidirect
106. C₂×#14579132	C₂²	semidirect
107. C₂×#14579132	C₂²	semidirect
108. C₂×#14579132	C₂²	semidirect
109. #121×D₇₉	C₂²	semidirect
114. C₂×Q₈×Dic₇₉	C₂²	semidirect
115. C₂×#14579126	C₂²	semidirect
116. C₂×D₄×Dic₇₉	C₂²	semidirect
117. C₂×#14579123	C₂²	semidirect
118. C₂×#14579123	C₂²	semidirect
122. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
126. C₂×#14579120	C₂²	semidirect
127. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
129. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
130. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
135. C₂²×#41×C₇₉	C₂²	semidirect
136. C₂²×#41×C₇₉	C₂²	semidirect
137. #537×C₇₉	C₂²	semidirect
138. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
139. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×#121×C₇₉	C₂²	semidirect
143. C₂×#121×C₇₉	C₂²	semidirect
144. C₂×#121×C₇₉	C₂²	semidirect
145. C₂×#121×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
151. C₂×#11929624	C₂³	semidirect
152. C₂×#11929624	C₂³	semidirect
154. C₂×#11929623	C₂³	semidirect
160. C₂×Q₈×D₇₉	C₂³	semidirect
190. #14579160	C₂³	semidirect
191. #14579160	C₂³	semidirect
192. #14579156	C₂³	semidirect
193. #14579154	C₂³	semidirect
194. #14579151	C₂³	semidirect
195. #14579151	C₂³	semidirect
196. #14579150	C₂³	semidirect
197. #14579148	C₂³	semidirect
198. #14579148	C₂³	semidirect
199. #14579148	C₂³	semidirect
200. #14579147	C₂³	semidirect
201. #14579147	C₂³	semidirect
202. #14579146	C₂³	semidirect
203. #14579144	C₂³	semidirect
204. #14579144	C₂³	semidirect
205. #14579143	C₂³	semidirect
206. #14579143	C₂³	semidirect
207. #14579143	C₂³	semidirect
208. #14579142	C₂³	semidirect
209. #14579142	C₂³	semidirect
210. #14579142	C₂³	semidirect
211. #14579142	C₂³	semidirect
214. #14579141	C₂³	semidirect
215. #14579140	C₂³	semidirect
216. #14579140	C₂³	semidirect
217. #14579140	C₂³	semidirect
218. #14579140	C₂³	semidirect
221. #14579139	C₂³	semidirect
222. #14579139	C₂³	semidirect
223. #14579138	C₂³	semidirect
224. #14579138	C₂³	semidirect
225. #14579138	C₂³	semidirect
226. #14579138	C₂³	semidirect
229. #14579137	C₂³	semidirect
230. #14579137	C₂³	semidirect
233. #14579135	C₂³	semidirect
235. #14579134	C₂³	semidirect
237. #14579133	C₂³	semidirect
238. #14579133	C₂³	semidirect
239. #14579133	C₂³	semidirect
242. #14579132	C₂³	semidirect
243. #14579132	C₂³	semidirect
244. #14579132	C₂³	semidirect
245. #14579132	C₂³	semidirect
250. Q₈×Dic₇₉	C₂³	semidirect
251. #14579126	C₂³	semidirect
252. D₄×Dic₇₉	C₂³	semidirect
253. #14579123	C₂³	semidirect
254. #14579123	C₂³	semidirect
258. C₄×C₂²⋊D₇₉	C₂³	semidirect
259. C₄×C₂²⋊D₇₉	C₂³	semidirect
260. C₄×C₂²⋊D₇₉	C₂³	semidirect
262. #14579120	C₂³	semidirect
270. C₂×C₄⋊Dic₇₉	C₂³	semidirect
284. C₄⋊C₄×D₇₉	C₂³	semidirect
285. C₄⋊C₄×D₇₉	C₂³	semidirect
320. C₂×#41×C₇₉	C₂³	semidirect
321. C₂×#41×C₇₉	C₂³	semidirect
336. C₂²⋊Q₈×C₇₉	C₂³	semidirect
337. C₂²⋊Q₈×C₇₉	C₂³	semidirect
338. C₂²⋊Q₈×C₇₉	C₂³	semidirect
340. #121×C₇₉	C₂³	semidirect
341. #121×C₇₉	C₂³	semidirect
342. #121×C₇₉	C₂³	semidirect
343. #121×C₇₉	C₂³	semidirect
349. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
697. C₂×C₇₉	#3536	semidirect
724. C₂×#537	D₇₉	semidirect
728. C₇₉	C₂×#3536	semidirect
732. C₂²×#41	C₂×D₇₉	semidirect
733. C₂²×#41	C₂×D₇₉	semidirect
757. #537	C₂×D₇₉	semidirect
801. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
802. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
803. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
821. C₂×#121	C₂×D₇₉	semidirect
822. C₂×#121	C₂×D₇₉	semidirect
823. C₂×#121	C₂×D₇₉	semidirect
824. C₂×#121	C₂×D₇₉	semidirect
846. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
861. C₂×#41	C₂²×D₇₉	semidirect
862. C₂×#41	C₂²×D₇₉	semidirect
953. C₂²⋊Q₈	C₂²×D₇₉	semidirect
954. C₂²⋊Q₈	C₂²×D₇₉	semidirect
955. C₂²⋊Q₈	C₂²×D₇₉	semidirect
972. #121	C₂²×D₇₉	semidirect
973. #121	C₂²×D₇₉	semidirect
974. #121	C₂²×D₇₉	semidirect
975. #121	C₂²×D₇₉	semidirect
1021. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1403. C₂	#23777618	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777618	2
C₂×#19099308	2
C₂×#19099271	2
C₂×#19099268	2
C₂×#19099223	2
C₂×#19099220	2
C₂×#19099214	2
C₂×#19099213	2
C₂×#19099210	2
C₂×#19099202	2
C₂×#19099201	2
C₂×#19099188	2
C₂×#19099186	2
C₂×#19099180	2
C₂×#19099159	2
C₂×#19099145	2
C₂×#19099142	2
C₂×#19099141	2
C₂×#19099070	2
C₂×C₂²⋊Q₈×D₇₉	2
C₂×#121×D₇₉	2
C₂×#537×C₇₉	2
C₂×#3536	79

Subgroups — C2×#23777618 #35195487

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777618 #35195487