Subgroups — C₂×#23777971 #35195608

Order 20224.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777971	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099315	C₂	1	2	yes	maximal, complemented
3	C₂×#19099310	C₂	1	2	yes	maximal, complemented
4	C₂×#19099285	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099283	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099238	C₂	1	2	yes	maximal, complemented
7	C₂×#19099236	C₂	1	2	yes	maximal, complemented
8	C₂×Q₈×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19099226	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099223	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099219	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099210	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099208	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099188	C₂	1	2	yes	maximal, complemented
15	C₂×#19099187	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099186	C₂	1	2	yes	maximal, complemented
17	C₂×#19099182	C₂	1	2	yes	maximal, complemented
18	C₂×#19099147	C₂	1	2	yes	maximal, complemented
19	C₂×#19099139	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#19099133	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#19099118	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099091	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#124×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#542×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	1	yes	characteristic
26	C₂²×#11929623	C₂²	1	1	yes	characteristic
27	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
28	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic
29	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
31	#19099315	C₂²	1	32	yes	complemented
32	#19099310	C₂²	1	32	yes	complemented
33	#19099285	C₂²	1	16	yes	complemented
34	#19099283	C₂²	1	16	yes	complemented
35	#19099238	C₂²	1	32	yes	complemented
36	#19099236	C₂²	1	32	yes	complemented
37	Q₈×D₃₁₆	C₂²	1	16	yes	complemented
38	#19099226	C₂²	1	16	yes	complemented
39	#19099223	C₂²	1	16	yes	complemented
40	#19099219	C₂²	1	16	yes	complemented
41	#19099210	C₂²	1	16	yes	complemented
42	#19099208	C₂²	1	16	yes	complemented
43	#19099188	C₂²	1	32	yes	complemented
44	#19099187	C₂²	1	16	yes	complemented
45	#19099186	C₂²	1	32	yes	complemented
46	#19099182	C₂²	1	32	yes	complemented
47	#19099147	C₂²	1	32	yes	complemented
48	#19099139	C₂²	1	16	yes	complemented
49	#19099133	C₂²	1	16	yes	complemented
50	#19099118	C₂²	1	16	yes	complemented
51	C₂×#14579161	C₂²	1	2	yes	complemented
52	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14579160	C₂²	1	2	yes	complemented
55	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
56	#19099091	C₂²	1	16	yes	complemented
57	C₂×#14579156	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579156	C₂²	1	2	yes	complemented
59	C₂×#14579156	C₂²	1	2	yes	complemented
60	C₂×#14579155	C₂²	1	2	yes	complemented
61	C₂×#14579154	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14579154	C₂²	1	2	yes	complemented
63	C₂×#14579154	C₂²	1	2	yes	complemented
64	C₂×#14579152	C₂²	1	2	yes	complemented
65	C₂×#14579151	C₂²	1	1	yes	characteristic, complemented
66	C₂×#14579150	C₂²	1	1	yes	characteristic
67	C₂×#14579150	C₂²	1	2	yes	complemented
68	C₂×#14579149	C₂²	1	1	yes	characteristic
69	C₂×#14579149	C₂²	1	1	yes	characteristic
70	C₂×#14579148	C₂²	1	1	yes	characteristic
71	C₂×#14579148	C₂²	1	1	yes	characteristic
72	C₂×#14579147	C₂²	1	2	yes	—
73	C₂×#14579147	C₂²	1	2	yes	—
74	C₂×#14579147	C₂²	1	2	yes	complemented
75	C₂×#14579147	C₂²	1	2	yes	complemented
76	C₂×#14579147	C₂²	1	1	yes	characteristic, complemented
77	#124×D₇₉	C₂²	1	16	yes	complemented
78	C₂×#14579146	C₂²	1	1	yes	characteristic
79	C₂×#14579146	C₂²	1	2	yes	complemented
80	C₂×#14579145	C₂²	1	2	yes	—
81	C₂×#14579145	C₂²	1	2	yes	complemented
82	C₂×#14579145	C₂²	1	2	yes	complemented
83	C₂×#14579143	C₂²	1	2	yes	—
84	C₂×#14579143	C₂²	1	1	yes	characteristic
85	C₂×#14579143	C₂²	1	2	yes	complemented
86	C₂×#14579143	C₂²	1	2	yes	complemented
87	C₂×#14579141	C₂²	1	2	yes	—
88	C₂×#14579141	C₂²	1	1	yes	characteristic
89	C₂×#14579141	C₂²	1	1	yes	characteristic
90	C₂×#14579141	C₂²	1	2	yes	complemented
91	C₂×#14579141	C₂²	1	2	yes	complemented
92	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14579141	C₂²	1	2	yes	complemented
94	C₂×#14579140	C₂²	1	2	yes	complemented
95	C₂×#14579139	C₂²	1	1	yes	characteristic
96	C₂×#14579139	C₂²	1	2	yes	—
97	C₂×#14579139	C₂²	1	2	yes	complemented
98	C₂×#14579139	C₂²	1	2	yes	complemented
99	C₂×#14579138	C₂²	1	2	yes	complemented
100	C₂×#14579138	C₂²	1	2	yes	complemented
101	C₂×#14579138	C₂²	1	2	yes	complemented
102	C₂×#14579138	C₂²	1	2	yes	complemented
103	C₂×#14579137	C₂²	1	2	yes	—
104	C₂×#14579137	C₂²	1	2	yes	complemented
105	C₂×#14579136	C₂²	1	1	yes	characteristic
106	C₂×#14579135	C₂²	1	2	yes	—
107	C₂×#14579134	C₂²	1	1	yes	characteristic
108	C₂×#14579134	C₂²	1	2	yes	complemented
109	C₂×#14579133	C₂²	1	2	yes	complemented
110	C₂×#14579132	C₂²	1	2	yes	—
111	C₂×#14579131	C₂²	1	2	yes	—
112	C₂×#14579129	C₂²	1	2	yes	—
113	C₂×Q₈×Dic₇₉	C₂²	1	2	yes	complemented
114	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
119	C₂×C₄×D₃₁₆	C₂²	1	2	yes	—
120	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
121	C₂×#14579123	C₂²	1	1	yes	characteristic
122	C₂×#14579123	C₂²	1	2	yes	complemented
123	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
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	2	yes	complemented
127	C₂×#14579119	C₂²	1	2	yes	—
128	C₂×#14579118	C₂²	1	2	yes	complemented
129	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
130	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
135	#542×C₇₉	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
138	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
139	C₂×#124×C₇₉	C₂²	1	2	yes	complemented
140	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
146	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929624	—	4	4	no	—
149	C₂×#11929624	C₂³	1	8	yes	—
150	C₂×#11929623	—	4	4	no	—
151	C₂×#11929623	C₂³	1	8	yes	—
152	C₂²×Dic₁₅₈	—	4	4	no	—
153	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
157	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
158	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
159	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
160	C₂²×Dic₁₅₈	C₂³	1	8	yes	complemented
161	C₂×Q₈×D₇₉	—	4	4	no	—
162	C₂×Q₈×D₇₉	—	4	4	no	—
163	C₂×Q₈×D₇₉	C₂³	1	8	yes	—
164	C₂×Q₈×D₇₉	C₂³	1	8	yes	complemented
165	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
166	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
167	C₂²×D₃₁₆	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
169	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
173	C₂×D₄×D₇₉	—	4	4	no	—
174	C₂×D₄×D₇₉	C₂³	1	8	yes	—
175	C₂³×Dic₇₉	C₂³	1	2	yes	—
176	C₂³×Dic₇₉	C₂³	1	2	yes	—
177	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
182	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
183	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
185	#14579161	C₂³	1	8	yes	complemented
186	#14579161	C₂³	1	8	yes	complemented
187	#14579161	C₂³	1	16	yes	complemented
188	#14579160	C₂³	1	16	yes	complemented
189	#14579159	C₂³	1	8	yes	complemented
190	#14579156	C₂³	1	8	yes	complemented
191	#14579156	C₂³	1	16	yes	complemented
192	#14579156	C₂³	1	16	yes	complemented
193	#14579155	C₂³	1	16	yes	complemented
194	#14579154	C₂³	1	16	yes	complemented
195	#14579154	C₂³	1	8	yes	complemented
196	#14579154	C₂³	1	16	yes	complemented
197	#14579152	C₂³	1	16	yes	complemented
198	#14579151	C₂³	1	8	yes	complemented
199	#14579150	C₂³	1	8	yes	—
200	#14579150	C₂³	1	16	yes	complemented
201	#14579149	C₂³	1	8	yes	—
202	#14579149	C₂³	1	8	yes	—
203	#14579148	C₂³	1	8	yes	—
204	#14579148	C₂³	1	8	yes	—
205	#14579147	C₂³	1	16	yes	—
206	#14579147	C₂³	1	16	yes	—
207	#14579147	C₂³	1	16	yes	complemented
208	#14579147	C₂³	1	16	yes	complemented
209	#14579147	C₂³	1	8	yes	complemented
210	#14579146	C₂³	1	8	yes	—
211	#14579146	C₂³	1	16	yes	complemented
212	#14579145	C₂³	1	16	yes	—
213	#14579145	C₂³	1	16	yes	complemented
214	#14579145	C₂³	1	16	yes	complemented
215	#14579143	C₂³	1	16	yes	—
216	#14579143	C₂³	1	8	yes	—
217	#14579143	C₂³	1	16	yes	complemented
218	#14579143	C₂³	1	16	yes	complemented
219	#14579141	C₂³	1	16	yes	—
220	#14579141	C₂³	1	8	yes	—
221	#14579141	C₂³	1	8	yes	—
222	#14579141	C₂³	1	16	yes	complemented
223	#14579141	C₂³	1	16	yes	complemented
224	#14579141	C₂³	1	16	yes	complemented
225	#14579141	C₂³	1	8	yes	complemented
226	#14579140	C₂³	1	16	yes	complemented
227	#14579139	C₂³	1	8	yes	—
228	#14579139	C₂³	1	16	yes	—
229	#14579139	C₂³	1	16	yes	complemented
230	#14579139	C₂³	1	16	yes	complemented
231	#14579138	C₂³	1	16	yes	complemented
232	#14579138	C₂³	1	16	yes	complemented
233	#14579138	C₂³	1	16	yes	complemented
234	#14579138	C₂³	1	16	yes	complemented
235	#14579137	C₂³	1	16	yes	—
236	#14579137	C₂³	1	16	yes	complemented
237	#14579136	C₂³	1	8	yes	—
238	#14579135	C₂³	1	16	yes	—
239	#14579134	C₂³	1	8	yes	—
240	#14579134	C₂³	1	16	yes	complemented
241	#14579133	C₂³	1	16	yes	complemented
242	#14579132	C₂³	1	16	yes	—
243	#14579131	C₂³	1	16	yes	—
244	#14579129	C₂³	1	16	yes	—
245	Q₈×Dic₇₉	C₂³	1	16	yes	complemented
246	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
247	#14579126	C₂³	1	8	yes	complemented
248	#14579126	C₂³	1	8	yes	complemented
249	#14579126	C₂³	1	8	yes	complemented
250	C₄×D₃₁₆	C₂³	1	16	yes	—
251	C₄×D₃₁₆	C₂³	1	8	yes	—
252	D₄×Dic₇₉	C₂³	1	16	yes	complemented
253	#14579123	C₂³	1	8	yes	—
254	#14579123	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
256	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
257	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
258	#14579120	C₂³	1	16	yes	complemented
259	#14579119	C₂³	1	16	yes	—
260	#14579118	C₂³	1	16	yes	complemented
261	#14579118	C₂³	1	8	yes	complemented
262	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
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	2	yes	—
269	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
271	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
281	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
306	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
307	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
308	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
309	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
313	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
315	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
316	C₄²×D₇₉	C₂³	1	8	yes	—
317	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
318	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
321	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
323	C₄⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
324	#126×C₇₉	C₂³	1	16	yes	complemented
325	#124×C₇₉	C₂³	1	8	yes	—
326	#124×C₇₉	C₂³	1	16	yes	complemented
327	#123×C₇₉	C₂³	1	16	yes	complemented
328	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
329	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
330	#121×C₇₉	C₂³	1	8	yes	—
331	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
332	C₄×D₄×C₇₉	C₂³	1	8	yes	—
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	1	yes	characteristic
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	2	yes	—
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
351	C₂³×D₇₉	—	2	8	no	—
352	C₂³×D₇₉	—	4	4	no	—
353	C₂³×D₇₉	—	4	4	no	—
354	C₂³×D₇₉	C₂⁴	1	2	yes	—
355	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
356	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
357	C₂³×D₇₉	C₂⁴	1	8	yes	—
358	#11929624	—	4	16	no	—
359	#11929623	—	4	16	no	—
360	C₂×Dic₁₅₈	—	2	4	no	—
361	C₂×Dic₁₅₈	—	2	4	no	—
362	C₂×Dic₁₅₈	—	2	4	no	—
363	C₂×Dic₁₅₈	—	4	16	no	—
364	C₂×Dic₁₅₈	—	4	4	no	—
365	C₂×Dic₁₅₈	—	4	4	no	—
366	C₂×Dic₁₅₈	—	4	4	no	—
367	C₂×Dic₁₅₈	—	4	2	no	—
368	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
369	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
370	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
371	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
372	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
373	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
374	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
375	Q₈×D₇₉	—	4	16	no	—
376	Q₈×D₇₉	—	4	16	no	—
377	C₂×D₃₁₆	—	2	4	no	—
378	C₂×D₃₁₆	—	2	4	no	—
379	C₂×D₃₁₆	—	4	4	no	—
380	C₂×D₃₁₆	C₂⁴	1	4	yes	—
381	C₂×D₃₁₆	C₂⁴	1	4	yes	—
382	C₂×D₃₁₆	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₉	—	2	4	no	—
384	C₂×C₂²⋊D₇₉	—	4	4	no	—
385	C₂×C₂²⋊D₇₉	—	4	4	no	—
386	C₂×C₂²⋊D₇₉	—	4	4	no	—
387	C₂×C₂²⋊D₇₉	—	4	2	no	—
388	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
389	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
392	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
393	D₄×D₇₉	—	4	16	no	—
394	C₂²×Dic₇₉	—	4	4	no	—
395	C₂²×Dic₇₉	—	4	4	no	—
396	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
397	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
399	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
400	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
406	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
407	C₂×C₄×D₇₉	—	2	4	no	—
408	C₂×C₄×D₇₉	—	2	4	no	—
409	C₂×C₄×D₇₉	—	2	4	no	—
410	C₂×C₄×D₇₉	—	4	4	no	—
411	C₂×C₄×D₇₉	—	4	4	no	—
412	C₂×C₄×D₇₉	—	4	4	no	—
413	C₂×C₄×D₇₉	—	4	4	no	—
414	C₂×C₄×D₇₉	—	4	2	no	—
415	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
416	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
417	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
418	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
419	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
420	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
421	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
422	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
423	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
424	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
425	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
426	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
427	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
428	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
429	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
430	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
432	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
433	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
434	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
435	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
436	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
438	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
439	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
440	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
441	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
442	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
443	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
448	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
450	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
456	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
461	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
462	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
463	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
466	C₄×Dic₇₉	C₂⁴	1	4	yes	—
467	C₄×Dic₇₉	C₂⁴	1	4	yes	—
468	C₄×Dic₇₉	C₂⁴	1	4	yes	—
469	C₄×Dic₇₉	C₂⁴	1	8	yes	—
470	C₄×Dic₇₉	C₂⁴	1	4	yes	—
471	C₄×Dic₇₉	C₂⁴	1	8	yes	—
472	C₄×Dic₇₉	C₂⁴	1	8	yes	—
473	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
474	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
475	C₂×Q₈×C₇₉	—	2	4	no	—
476	C₂×Q₈×C₇₉	—	4	4	no	—
477	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
478	C₂×Q₈×C₇₉	C₂⁴	1	8	yes	—
479	C₂×D₄×C₇₉	—	2	4	no	—
480	C₂×D₄×C₇₉	—	4	4	no	—
481	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
482	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
483	C₂²×C₄×C₇₉	—	2	4	no	—
484	C₂²×C₄×C₇₉	—	4	4	no	—
485	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
486	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
493	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
498	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
499	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
501	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
502	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
505	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
506	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
510	C₄²×C₇₉	C₂⁴	1	4	yes	—
511	C₄²×C₇₉	C₂⁴	1	4	yes	—
512	C₄²×C₇₉	C₂⁴	1	8	yes	—
513	C₂³×C₇₉	—	2	2	no	—
514	C₂³×C₇₉	—	2	4	no	—
515	C₂³×C₇₉	—	2	2	no	—
516	C₂³×C₇₉	—	2	4	no	—
517	C₂³×C₇₉	—	2	2	no	—
518	C₂³×C₇₉	—	2	4	no	—
519	C₂³×C₇₉	C₂⁵	1	4	yes	—
520	C₂³×C₇₉	C₂⁵	1	2	yes	—
521	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
522	C₂²×D₇₉	—	2	2	no	—
523	C₂²×D₇₉	—	2	2	no	—
524	C₂²×D₇₉	—	2	2	no	—
525	C₂²×D₇₉	—	2	4	no	—
526	C₂²×D₇₉	—	2	2	no	—
527	C₂²×D₇₉	—	2	4	no	—
528	C₂²×D₇₉	—	2	4	no	—
529	C₂²×D₇₉	—	2	2	no	—
530	C₂²×D₇₉	—	2	16	no	—
531	C₂²×D₇₉	—	4	8	no	—
532	C₂²×D₇₉	—	4	8	no	—
533	C₂²×D₇₉	—	8	16	no	—
534	C₂²×D₇₉	2₋¹⁺⁴	1	4	yes	—
535	C₂²×D₇₉	C₂⁵	1	4	yes	—
536	C₂²×D₇₉	C₂⁵	1	2	yes	—
537	C₂²×D₇₉	C₂⁵	1	2	yes	—
538	Q₈×C₇₉	—	2	8	no	—
539	Q₈×C₇₉	—	4	8	no	—
540	D₄×C₇₉	—	2	8	no	—
541	D₄×C₇₉	—	4	8	no	—
542	C₂×C₄×C₇₉	—	2	2	no	—
543	C₂×C₄×C₇₉	—	2	4	no	—
544	C₂×C₄×C₇₉	—	2	2	no	—
545	C₂×C₄×C₇₉	—	2	2	no	—
546	C₂×C₄×C₇₉	—	2	4	no	—
547	C₂×C₄×C₇₉	—	2	2	no	—
548	C₂×C₄×C₇₉	—	2	4	no	—
549	C₂×C₄×C₇₉	—	2	2	no	—
550	C₂×C₄×C₇₉	—	2	8	no	—
551	C₂×C₄×C₇₉	—	4	8	no	—
552	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
553	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
554	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
555	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
556	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
557	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
558	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
559	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
560	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
561	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
562	C₂²⋊D₇₉	—	2	8	no	—
563	C₂²⋊D₇₉	—	4	8	no	—
564	C₂²⋊D₇₉	—	4	4	no	—
565	C₂²⋊D₇₉	—	4	8	no	—
566	C₂²⋊D₇₉	—	4	8	no	—
567	C₂×Dic₇₉	—	2	2	no	—
568	C₂×Dic₇₉	—	2	2	no	—
569	C₂×Dic₇₉	—	2	4	no	—
570	C₂×Dic₇₉	—	2	4	no	—
571	C₂×Dic₇₉	—	2	4	no	—
572	C₂×Dic₇₉	—	2	2	no	—
573	C₂×Dic₇₉	—	2	2	no	—
574	C₂×Dic₇₉	—	2	2	no	—
575	C₂×Dic₇₉	—	2	2	no	—
576	C₂×Dic₇₉	—	4	8	no	—
577	C₂×Dic₇₉	—	4	8	no	—
578	C₂×Dic₇₉	C₂⁵	1	2	yes	—
579	C₂×Dic₇₉	C₂⁵	1	2	yes	—
580	C₂×Dic₇₉	C₂⁵	1	2	yes	—
581	C₂×Dic₇₉	C₂⁵	1	2	yes	—
582	C₂×Dic₇₉	C₂⁵	1	4	yes	—
583	C₂×Dic₇₉	C₂⁵	1	4	yes	—
584	C₂×Dic₇₉	C₂⁵	1	2	yes	—
585	C₂×Dic₇₉	C₂⁵	1	4	yes	—
586	C₂×Dic₇₉	C₂⁵	1	2	yes	—
587	D₃₁₆	—	2	8	no	—
588	D₃₁₆	—	2	8	no	—
589	D₃₁₆	—	4	8	no	—
590	C₄×D₇₉	—	2	8	no	—
591	C₄×D₇₉	—	2	8	no	—
592	C₄×D₇₉	—	2	8	no	—
593	C₄×D₇₉	—	4	4	no	—
594	C₄×D₇₉	—	4	8	no	—
595	C₄×D₇₉	—	4	8	no	—
596	C₄×D₇₉	—	4	8	no	—
597	C₄×D₇₉	—	4	8	no	—
598	Dic₁₅₈	—	2	8	no	—
599	Dic₁₅₈	—	2	8	no	—
600	Dic₁₅₈	—	2	8	no	—
601	Dic₁₅₈	—	4	8	no	—
602	Dic₁₅₈	—	4	8	no	—
603	Dic₁₅₈	—	4	8	no	—
604	Dic₁₅₈	—	4	4	no	—
605	C₂²×C₇₉	—	2	2	no	—
606	C₂²×C₇₉	—	2	4	no	—
607	C₂²×C₇₉	—	2	2	no	—
608	C₂²×C₇₉	—	2	4	no	—
609	C₂²×C₇₉	—	2	2	no	—
610	C₂²×C₇₉	—	2	4	no	—
611	C₂²×C₇₉	—	4	8	no	—
612	C₂²×C₇₉	—	4	4	no	—
613	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
614	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
615	C₂²×C₇₉	#585	1	2	yes	—
616	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
617	C₂×D₇₉	—	2	2	no	—
618	C₂×D₇₉	—	2	2	no	—
619	C₂×D₇₉	—	2	8	no	—
620	C₂×D₇₉	—	2	4	no	—
621	C₂×D₇₉	—	2	2	no	—
622	C₂×D₇₉	—	2	4	no	—
623	C₂×D₇₉	—	2	2	no	—
624	C₂×D₇₉	—	2	2	no	—
625	C₂×D₇₉	—	2	4	no	—
626	C₂×D₇₉	—	4	4	no	—
627	C₂×D₇₉	—	4	8	no	—
628	C₂×D₇₉	—	8	16	no	—
629	C₂×D₇₉	C₂×2₋¹⁺⁴	1	4	yes	—
630	C₄×C₇₉	—	2	2	no	—
631	C₄×C₇₉	—	2	4	no	—
632	C₄×C₇₉	—	2	2	no	—
633	C₄×C₇₉	—	2	2	no	—
634	C₄×C₇₉	—	2	2	no	—
635	C₄×C₇₉	—	2	4	no	—
636	C₄×C₇₉	—	2	4	no	—
637	C₄×C₇₉	—	2	2	no	—
638	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
639	Dic₇₉	—	2	2	no	—
640	Dic₇₉	—	2	4	no	—
641	Dic₇₉	—	2	4	no	—
642	Dic₇₉	—	2	4	no	—
643	Dic₇₉	—	2	2	no	—
644	Dic₇₉	—	2	2	no	—
645	Dic₇₉	—	2	2	no	—
646	Dic₇₉	—	2	2	no	—
647	Dic₇₉	—	2	2	no	—
648	C₂×#3561	—	79	1	no	maximal, Sylow
649	C₂×C₇₉	—	4	4	no	—
650	C₂×C₇₉	—	4	2	no	—
651	C₂×C₇₉	#3561	1	4	yes	complemented
652	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
653	C₂×C₇₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
654	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
655	D₇₉	—	2	4	no	—
656	D₇₉	—	4	2	no	—
657	D₇₉	—	4	4	no	—
658	#3561	—	79	32	no	—
659	C₂×#563	—	79	2	no	—
660	C₂×#562	—	79	2	no	—
661	C₂×#556	—	79	1	no	—
662	C₂×#556	—	79	1	no	—
663	C₂×#551	—	79	2	no	—
664	C₂×#551	—	79	2	no	—
665	C₂×D₄×Q₈	—	79	1	no	—
666	C₂×D₄×Q₈	—	79	1	no	—
667	C₂×#548	—	79	1	no	—
668	C₂×#548	—	79	1	no	—
669	C₂×#546	—	79	1	no	—
670	C₂×#546	—	79	1	no	—
671	C₂×#543	—	79	2	no	—
672	C₂×#542	—	79	1	no	—
673	C₂×#542	—	79	2	no	—
674	C₂×#542	—	79	2	no	—
675	C₂×#542	D₇₉	1	1	yes	characteristic, complemented
676	C₂×#538	—	79	2	no	—
677	C₂×#536	—	79	1	no	—
678	C₂×#536	—	79	1	no	—
679	C₂×#533	—	79	1	no	—
680	C₂×#529	—	79	1	no	—
681	C₂²×#124	—	79	1	no	—
682	C₇₉	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
683	C₂²×#41	—	79	1	no	—
684	C₂²×#41	—	79	1	no	—
685	C₂³×Q₈	—	79	1	no	—
686	C₂³×Q₈	—	79	1	no	—
687	C₂³×Q₈	—	79	1	no	—
688	C₂³×D₄	—	79	1	no	—
689	#563	—	79	32	no	—
690	#562	—	79	32	no	—
691	#556	—	79	16	no	—
692	#556	—	79	16	no	—
693	#551	—	79	32	no	—
694	#551	—	79	32	no	—
695	D₄×Q₈	—	79	16	no	—
696	D₄×Q₈	—	79	16	no	—
697	#548	—	79	16	no	—
698	#548	—	79	16	no	—
699	#546	—	79	16	no	—
700	#546	—	79	16	no	—
701	#543	—	79	32	no	—
702	#542	—	79	16	no	—
703	#542	—	79	32	no	—
704	#542	—	79	32	no	—
705	#542	C₂×D₇₉	1	16	yes	complemented
706	#538	—	79	32	no	—
707	#536	—	79	16	no	—
708	#536	—	79	16	no	—
709	#533	—	79	16	no	—
710	C₂×C₄⋊Q₈	—	79	1	no	—
711	C₂×C₄⋊Q₈	—	79	2	no	—
712	C₂×C₄⋊Q₈	—	79	1	no	—
713	C₂×C₄⋊Q₈	—	79	1	no	—
714	C₂×C₄⋊Q₈	—	79	2	no	—
715	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
716	#529	—	79	16	no	—
717	C₂×#126	—	79	1	no	—
718	C₂×#126	—	79	2	no	—
719	C₂×#126	—	79	2	no	—
720	C₂×#126	—	79	1	no	—
721	C₂×#126	—	79	2	no	—
722	C₂×#126	—	79	2	no	—
723	C₂×#126	—	79	2	no	—
724	C₂×#126	C₂×D₇₉	1	2	yes	complemented
725	C₂×#125	—	79	1	no	—
726	C₂×#125	—	79	2	no	—
727	C₂×#124	—	79	1	no	—
728	C₂×#124	—	79	2	no	—
729	C₂×#124	—	79	1	no	—
730	C₂×#124	—	79	1	no	—
731	C₂×#124	—	79	16	no	—
732	C₂×#124	—	79	2	no	—
733	C₂×#124	—	79	2	no	—
734	C₂×#124	—	79	1	no	—
735	C₂×#124	—	79	2	no	—
736	C₂×#124	—	79	2	no	—
737	C₂×#124	—	79	1	no	—
738	C₂×#124	—	79	1	no	—
739	C₂×#124	C₂×D₇₉	1	1	yes	characteristic
740	C₂×#124	C₂×D₇₉	1	2	yes	complemented
741	C₂×#123	—	79	1	no	—
742	C₂×#123	—	79	2	no	—
743	C₂×#123	—	79	1	no	—
744	C₂×#123	—	79	2	no	—
745	C₂×#123	—	79	2	no	—
746	C₂×#123	—	79	2	no	—
747	C₂×#123	—	79	2	no	—
748	C₂×#123	—	79	2	no	—
749	C₂×#123	—	79	2	no	—
750	C₂×#123	C₂×D₇₉	1	2	yes	complemented
751	C₂×C₂²⋊Q₈	—	79	2	no	—
752	C₂×C₂²⋊Q₈	—	79	2	no	—
753	C₂×C₂²⋊Q₈	—	79	2	no	—
754	C₂×C₂²⋊Q₈	—	79	1	no	—
755	C₂×C₂²⋊Q₈	—	79	1	no	—
756	C₂×C₂²⋊Q₈	—	79	1	no	—
757	C₂×C₂²⋊Q₈	—	79	2	no	—
758	C₂×C₂²⋊Q₈	—	79	2	no	—
759	C₂×C₂²⋊Q₈	—	79	1	no	—
760	C₂×C₂²⋊Q₈	—	79	2	no	—
761	C₂×C₂²⋊Q₈	—	79	2	no	—
762	C₂×C₂²⋊Q₈	—	79	2	no	—
763	C₂×C₂²⋊Q₈	—	79	2	no	—
764	C₂×C₂²⋊Q₈	—	79	2	no	—
765	C₂×C₂²⋊Q₈	—	79	2	no	—
766	C₂×C₂²⋊Q₈	—	79	2	no	—
767	C₂×C₂²⋊Q₈	—	79	2	no	—
768	C₂×C₂²⋊Q₈	—	79	2	no	—
769	C₂×C₂²⋊Q₈	C₂×D₇₉	1	2	yes	complemented
770	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
771	C₂×#121	—	79	2	no	—
772	C₂×#121	—	79	2	no	—
773	C₂×#121	—	79	2	no	—
774	C₂×#121	—	79	1	no	—
775	C₂×#121	—	79	1	no	—
776	C₂×#121	—	79	2	no	—
777	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
778	C₂×#120	—	79	2	no	—
779	C₂×#120	—	79	2	no	—
780	C₂×C₄×Q₈	—	79	2	no	—
781	C₂×C₄×Q₈	—	79	1	no	—
782	C₂×C₄×Q₈	—	79	1	no	—
783	C₂×C₄×Q₈	—	79	1	no	—
784	C₂×C₄×Q₈	—	79	1	no	—
785	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
786	C₂×C₄×D₄	—	79	2	no	—
787	C₂×C₄×D₄	—	79	1	no	—
788	C₂×C₄×D₄	—	79	1	no	—
789	C₂×C₄×D₄	—	79	1	no	—
790	C₂×C₄×D₄	—	79	2	no	—
791	C₂×C₄×D₄	—	79	2	no	—
792	C₂×C₄×D₄	—	79	1	no	—
793	C₂×C₄×D₄	—	79	2	no	—
794	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
795	C₂×#117	—	79	2	no	—
796	C₂×#117	—	79	2	no	—
797	C₂×#117	—	79	1	no	—
798	C₂×#117	—	79	2	no	—
799	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
800	C₂²×C₂²⋊C₄	—	79	2	no	—
801	C₂²×C₂²⋊C₄	—	79	2	no	—
802	C₂²×C₂²⋊C₄	—	79	2	no	—
803	C₂²×C₂²⋊C₄	—	79	2	no	—
804	C₂²×C₄²	—	79	1	no	—
805	C₂⁵	—	79	2	no	—
806	C₂×#41	—	316	4	no	—
807	C₂×#41	—	316	4	no	—
808	C₂×#41	—	79	8	no	—
809	C₂×#41	—	79	8	no	—
810	C₂²×Q₈	—	316	4	no	—
811	C₂²×Q₈	—	316	4	no	—
812	C₂²×Q₈	—	316	4	no	—
813	C₂²×Q₈	—	79	8	no	—
814	C₂²×Q₈	—	79	8	no	—
815	C₂²×Q₈	—	79	1	no	—
816	C₂²×Q₈	—	79	2	no	—
817	C₂²×Q₈	—	79	2	no	—
818	C₂²×Q₈	—	79	2	no	—
819	C₂²×Q₈	—	79	8	no	—
820	C₂²×Q₈	—	79	1	no	—
821	C₂²×Q₈	—	79	1	no	—
822	C₂²×Q₈	—	79	1	no	—
823	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
824	C₂²×Q₈	C₂²×D₇₉	1	2	yes	—
825	C₂²×D₄	—	316	4	no	—
826	C₂²×D₄	—	79	1	no	—
827	C₂²×D₄	—	79	2	no	—
828	C₂²×D₄	—	79	2	no	—
829	C₂²×D₄	—	79	2	no	—
830	C₂²×D₄	—	79	8	no	—
831	C₂²×D₄	—	79	1	no	—
832	C₂²×D₄	—	79	2	no	—
833	C₂²×D₄	—	79	1	no	—
834	C₂²×D₄	—	79	1	no	—
835	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
837	C₂³×C₄	—	79	2	no	—
838	C₂³×C₄	—	79	2	no	—
839	C₂³×C₄	—	79	2	no	—
840	C₂³×C₄	—	79	1	no	—
841	C₂³×C₄	—	79	2	no	—
842	C₂³×C₄	—	79	2	no	—
843	C₂³×C₄	—	79	2	no	—
844	C₂³×C₄	—	79	1	no	—
845	C₂³×C₄	—	79	1	no	—
846	C₂³×C₄	—	79	1	no	—
847	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
848	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
849	C₄⋊Q₈	—	79	8	no	—
850	C₄⋊Q₈	—	79	16	no	—
851	C₄⋊Q₈	—	79	8	no	—
852	C₄⋊Q₈	—	79	8	no	—
853	C₄⋊Q₈	—	79	16	no	—
854	C₄⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
855	#126	—	79	8	no	—
856	#126	—	79	16	no	—
857	#126	—	79	16	no	—
858	#126	—	79	8	no	—
859	#126	—	79	16	no	—
860	#126	—	79	16	no	—
861	#126	—	79	16	no	—
862	#126	C₂²×D₇₉	1	16	yes	complemented
863	#125	—	79	8	no	—
864	#125	—	79	16	no	—
865	#124	—	79	8	no	—
866	#124	—	79	16	no	—
867	#124	—	79	8	no	—
868	#124	—	79	8	no	—
869	#124	—	79	16	no	—
870	#124	—	79	16	no	—
871	#124	—	79	8	no	—
872	#124	—	79	16	no	—
873	#124	—	79	16	no	—
874	#124	—	79	8	no	—
875	#124	—	79	8	no	—
876	#124	C₂²×D₇₉	1	8	yes	—
877	#124	C₂²×D₇₉	1	16	yes	complemented
878	#123	—	79	8	no	—
879	#123	—	79	16	no	—
880	#123	—	79	8	no	—
881	#123	—	79	16	no	—
882	#123	—	79	16	no	—
883	#123	—	79	16	no	—
884	#123	—	79	16	no	—
885	#123	—	79	16	no	—
886	#123	—	79	16	no	—
887	#123	C₂²×D₇₉	1	16	yes	complemented
888	C₂²⋊Q₈	—	79	16	no	—
889	C₂²⋊Q₈	—	79	16	no	—
890	C₂²⋊Q₈	—	79	16	no	—
891	C₂²⋊Q₈	—	79	8	no	—
892	C₂²⋊Q₈	—	79	8	no	—
893	C₂²⋊Q₈	—	79	8	no	—
894	C₂²⋊Q₈	—	79	16	no	—
895	C₂²⋊Q₈	—	79	16	no	—
896	C₂²⋊Q₈	—	79	8	no	—
897	C₂²⋊Q₈	—	79	16	no	—
898	C₂²⋊Q₈	—	79	16	no	—
899	C₂²⋊Q₈	—	79	16	no	—
900	C₂²⋊Q₈	—	79	16	no	—
901	C₂²⋊Q₈	—	79	16	no	—
902	C₂²⋊Q₈	—	79	16	no	—
903	C₂²⋊Q₈	—	79	16	no	—
904	C₂²⋊Q₈	—	79	16	no	—
905	C₂²⋊Q₈	—	79	16	no	—
906	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
907	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
908	#121	—	79	16	no	—
909	#121	—	79	16	no	—
910	#121	—	79	16	no	—
911	#121	—	79	8	no	—
912	#121	—	79	8	no	—
913	#121	—	79	16	no	—
914	#121	C₂²×D₇₉	1	8	yes	—
915	#120	—	79	16	no	—
916	#120	—	79	16	no	—
917	C₄×Q₈	—	79	16	no	—
918	C₄×Q₈	—	79	8	no	—
919	C₄×Q₈	—	79	8	no	—
920	C₄×Q₈	—	79	8	no	—
921	C₄×Q₈	—	79	8	no	—
922	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
923	C₄×D₄	—	79	16	no	—
924	C₄×D₄	—	79	8	no	—
925	C₄×D₄	—	79	8	no	—
926	C₄×D₄	—	79	8	no	—
927	C₄×D₄	—	79	16	no	—
928	C₄×D₄	—	79	16	no	—
929	C₄×D₄	—	79	8	no	—
930	C₄×D₄	—	79	16	no	—
931	C₄×D₄	C₂²×D₇₉	1	8	yes	—
932	#117	—	79	16	no	—
933	#117	—	79	16	no	—
934	#117	—	79	8	no	—
935	#117	—	79	16	no	—
936	#117	C₂²×D₇₉	1	8	yes	complemented
937	C₂×C₄⋊C₄	—	79	1	no	—
938	C₂×C₄⋊C₄	—	79	1	no	—
939	C₂×C₄⋊C₄	—	79	1	no	—
940	C₂×C₄⋊C₄	—	79	2	no	—
941	C₂×C₄⋊C₄	—	79	2	no	—
942	C₂×C₄⋊C₄	—	79	2	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	—	79	2	no	—
946	C₂×C₄⋊C₄	—	79	2	no	—
947	C₂×C₄⋊C₄	—	79	2	no	—
948	C₂×C₄⋊C₄	—	79	1	no	—
949	C₂×C₄⋊C₄	—	79	1	no	—
950	C₂×C₄⋊C₄	—	79	2	no	—
951	C₂×C₄⋊C₄	—	79	2	no	—
952	C₂×C₄⋊C₄	—	79	2	no	—
953	C₂×C₄⋊C₄	—	79	2	no	—
954	C₂×C₄⋊C₄	—	79	1	no	—
955	C₂×C₄⋊C₄	—	79	2	no	—
956	C₂×C₄⋊C₄	—	79	2	no	—
957	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
958	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
962	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
964	C₂×C₂²⋊C₄	—	79	2	no	—
965	C₂×C₂²⋊C₄	—	79	2	no	—
966	C₂×C₂²⋊C₄	—	79	2	no	—
967	C₂×C₂²⋊C₄	—	79	2	no	—
968	C₂×C₂²⋊C₄	—	79	1	no	—
969	C₂×C₂²⋊C₄	—	79	1	no	—
970	C₂×C₂²⋊C₄	—	79	1	no	—
971	C₂×C₂²⋊C₄	—	79	1	no	—
972	C₂×C₂²⋊C₄	—	79	2	no	—
973	C₂×C₂²⋊C₄	—	79	2	no	—
974	C₂×C₂²⋊C₄	—	79	2	no	—
975	C₂×C₂²⋊C₄	—	79	2	no	—
976	C₂×C₂²⋊C₄	—	79	2	no	—
977	C₂×C₂²⋊C₄	—	79	2	no	—
978	C₂×C₂²⋊C₄	—	79	2	no	—
979	C₂×C₂²⋊C₄	—	79	2	no	—
980	C₂×C₂²⋊C₄	—	79	16	no	—
981	C₂×C₂²⋊C₄	—	79	2	no	—
982	C₂×C₂²⋊C₄	—	79	1	no	—
983	C₂×C₂²⋊C₄	—	79	1	no	—
984	C₂×C₂²⋊C₄	—	79	1	no	—
985	C₂×C₂²⋊C₄	—	79	2	no	—
986	C₂×C₂²⋊C₄	—	79	1	no	—
987	C₂×C₂²⋊C₄	—	79	2	no	—
988	C₂×C₂²⋊C₄	—	79	16	no	—
989	C₂×C₂²⋊C₄	—	79	16	no	—
990	C₂×C₂²⋊C₄	—	79	16	no	—
991	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
998	C₂×C₄²	—	79	2	no	—
999	C₂×C₄²	—	79	2	no	—
1000	C₂×C₄²	—	79	1	no	—
1001	C₂×C₄²	—	79	2	no	—
1002	C₂×C₄²	—	79	1	no	—
1003	C₂×C₄²	—	79	1	no	—
1004	C₂×C₄²	—	79	1	no	—
1005	C₂×C₄²	—	79	8	no	—
1006	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1007	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1008	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1009	C₂⁴	—	316	4	no	—
1010	C₂⁴	—	316	4	no	—
1011	C₂⁴	—	79	8	no	—
1012	C₂⁴	—	79	1	no	—
1013	C₂⁴	—	79	2	no	—
1014	C₂⁴	—	79	1	no	—
1015	C₂⁴	—	158	8	no	—
1016	C₂⁴	C₂³×D₇₉	1	2	yes	—
1017	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1018	#41	—	316	16	no	—
1019	#41	—	316	16	no	—
1020	C₂×Q₈	—	2	4	no	—
1021	C₂×Q₈	—	4	4	no	—
1022	C₂×Q₈	—	316	16	no	—
1023	C₂×Q₈	—	316	4	no	—
1024	C₂×Q₈	—	316	4	no	—
1025	C₂×Q₈	—	316	4	no	—
1026	C₂×Q₈	—	316	2	no	—
1027	C₂×Q₈	—	316	16	no	—
1028	C₂×Q₈	—	316	16	no	—
1029	C₂×Q₈	—	79	4	no	—
1030	C₂×Q₈	—	79	8	no	—
1031	C₂×Q₈	—	79	8	no	—
1032	C₂×Q₈	—	79	8	no	—
1033	C₂×Q₈	—	79	4	no	—
1034	C₂×Q₈	—	79	4	no	—
1035	C₂×Q₈	—	79	4	no	—
1036	C₂×Q₈	—	158	4	no	—
1037	C₂×Q₈	—	158	4	no	—
1038	C₂×Q₈	—	158	4	no	—
1039	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1040	C₂×Q₈	C₂³×D₇₉	1	8	yes	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	316	4	no	—
1044	C₂×D₄	—	316	16	no	—
1045	C₂×D₄	—	316	4	no	—
1046	C₂×D₄	—	316	2	no	—
1047	C₂×D₄	—	316	4	no	—
1048	C₂×D₄	—	316	4	no	—
1049	C₂×D₄	—	79	4	no	—
1050	C₂×D₄	—	79	8	no	—
1051	C₂×D₄	—	79	8	no	—
1052	C₂×D₄	—	79	8	no	—
1053	C₂×D₄	—	79	4	no	—
1054	C₂×D₄	—	79	8	no	—
1055	C₂×D₄	—	79	4	no	—
1056	C₂×D₄	—	79	4	no	—
1057	C₂×D₄	—	158	4	no	—
1058	C₂×D₄	—	158	4	no	—
1059	C₂×D₄	—	158	4	no	—
1060	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1061	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	316	4	no	—
1065	C₂²×C₄	—	316	2	no	—
1066	C₂²×C₄	—	316	4	no	—
1067	C₂²×C₄	—	316	4	no	—
1068	C₂²×C₄	—	316	4	no	—
1069	C₂²×C₄	—	316	4	no	—
1070	C₂²×C₄	—	316	4	no	—
1071	C₂²×C₄	—	79	8	no	—
1072	C₂²×C₄	—	79	8	no	—
1073	C₂²×C₄	—	79	4	no	—
1074	C₂²×C₄	—	79	8	no	—
1075	C₂²×C₄	—	79	8	no	—
1076	C₂²×C₄	—	79	8	no	—
1077	C₂²×C₄	—	79	8	no	—
1078	C₂²×C₄	—	79	1	no	—
1079	C₂²×C₄	—	79	1	no	—
1080	C₂²×C₄	—	79	1	no	—
1081	C₂²×C₄	—	79	1	no	—
1082	C₂²×C₄	—	79	1	no	—
1083	C₂²×C₄	—	79	2	no	—
1084	C₂²×C₄	—	79	2	no	—
1085	C₂²×C₄	—	79	2	no	—
1086	C₂²×C₄	—	79	1	no	—
1087	C₂²×C₄	—	79	4	no	—
1088	C₂²×C₄	—	79	4	no	—
1089	C₂²×C₄	—	79	4	no	—
1090	C₂²×C₄	—	158	4	no	—
1091	C₂²×C₄	—	158	4	no	—
1092	C₂²×C₄	—	158	4	no	—
1093	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1094	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1095	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1098	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1101	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1103	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1104	C₄⋊C₄	—	79	4	no	—
1105	C₄⋊C₄	—	79	4	no	—
1106	C₄⋊C₄	—	79	8	no	—
1107	C₄⋊C₄	—	79	4	no	—
1108	C₄⋊C₄	—	79	4	no	—
1109	C₄⋊C₄	—	79	8	no	—
1110	C₄⋊C₄	—	79	4	no	—
1111	C₄⋊C₄	—	79	8	no	—
1112	C₄⋊C₄	—	79	8	no	—
1113	C₄⋊C₄	—	79	4	no	—
1114	C₄⋊C₄	—	79	8	no	—
1115	C₄⋊C₄	—	79	4	no	—
1116	C₄⋊C₄	—	79	8	no	—
1117	C₄⋊C₄	—	79	8	no	—
1118	C₄⋊C₄	—	79	8	no	—
1119	C₄⋊C₄	—	79	8	no	—
1120	C₄⋊C₄	—	79	4	no	—
1121	C₄⋊C₄	—	79	8	no	—
1122	C₄⋊C₄	—	79	8	no	—
1123	C₄⋊C₄	—	79	8	no	—
1124	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1125	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1126	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1127	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1129	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1130	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1131	C₂²⋊C₄	—	79	8	no	—
1132	C₂²⋊C₄	—	79	8	no	—
1133	C₂²⋊C₄	—	79	8	no	—
1134	C₂²⋊C₄	—	79	8	no	—
1135	C₂²⋊C₄	—	79	4	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	8	no	—
1141	C₂²⋊C₄	—	79	8	no	—
1142	C₂²⋊C₄	—	79	8	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	8	no	—
1148	C₂²⋊C₄	—	79	4	no	—
1149	C₂²⋊C₄	—	79	4	no	—
1150	C₂²⋊C₄	—	79	4	no	—
1151	C₂²⋊C₄	—	79	8	no	—
1152	C₂²⋊C₄	—	79	4	no	—
1153	C₂²⋊C₄	—	79	8	no	—
1154	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1155	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1156	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1157	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1158	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1159	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1160	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1161	C₄²	—	79	4	no	—
1162	C₄²	—	79	4	no	—
1163	C₄²	—	79	4	no	—
1164	C₄²	—	79	8	no	—
1165	C₄²	—	79	8	no	—
1166	C₄²	—	79	4	no	—
1167	C₄²	—	79	8	no	—
1168	C₄²	C₂³×D₇₉	1	4	yes	—
1169	C₄²	C₂³×D₇₉	1	8	yes	—
1170	C₄²	C₂³×D₇₉	1	4	yes	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	2	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	4	no	—
1176	C₂³	—	2	2	no	—
1177	C₂³	—	316	8	no	—
1178	C₂³	—	316	8	no	—
1179	C₂³	—	79	4	no	—
1180	C₂³	—	79	2	no	—
1181	C₂³	—	79	4	no	—
1182	C₂³	—	79	2	no	—
1183	C₂³	—	632	16	no	—
1184	C₂³	—	158	16	no	—
1185	C₂³	—	158	2	no	—
1186	C₂³	—	158	4	no	—
1187	C₂³	—	158	2	no	—
1188	C₂³	—	158	4	no	—
1189	C₂³	—	158	4	no	—
1190	C₂³	—	158	2	no	—
1191	C₂³	—	158	2	no	—
1192	C₂³	—	158	2	no	—
1193	C₂³	C₂⁴×D₇₉	1	4	yes	—
1194	C₂³	C₂⁴×D₇₉	1	2	yes	—
1195	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1196	Q₈	—	2	8	no	—
1197	Q₈	—	4	8	no	—
1198	Q₈	—	316	8	no	—
1199	Q₈	—	316	8	no	—
1200	Q₈	—	316	8	no	—
1201	Q₈	—	316	4	no	—
1202	Q₈	—	158	8	no	—
1203	Q₈	—	158	8	no	—
1204	Q₈	—	158	8	no	—
1205	D₄	—	2	8	no	—
1206	D₄	—	4	8	no	—
1207	D₄	—	316	8	no	—
1208	D₄	—	316	8	no	—
1209	D₄	—	316	4	no	—
1210	D₄	—	316	8	no	—
1211	D₄	—	316	8	no	—
1212	D₄	—	158	8	no	—
1213	D₄	—	158	8	no	—
1214	D₄	—	158	8	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	4	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	4	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	8	no	—
1224	C₂×C₄	—	4	8	no	—
1225	C₂×C₄	—	316	8	no	—
1226	C₂×C₄	—	316	8	no	—
1227	C₂×C₄	—	316	8	no	—
1228	C₂×C₄	—	316	8	no	—
1229	C₂×C₄	—	316	4	no	—
1230	C₂×C₄	—	316	8	no	—
1231	C₂×C₄	—	316	8	no	—
1232	C₂×C₄	—	79	2	no	—
1233	C₂×C₄	—	79	2	no	—
1234	C₂×C₄	—	79	2	no	—
1235	C₂×C₄	—	79	2	no	—
1236	C₂×C₄	—	79	2	no	—
1237	C₂×C₄	—	79	4	no	—
1238	C₂×C₄	—	79	4	no	—
1239	C₂×C₄	—	79	4	no	—
1240	C₂×C₄	—	79	2	no	—
1241	C₂×C₄	—	158	8	no	—
1242	C₂×C₄	—	158	2	no	—
1243	C₂×C₄	—	158	4	no	—
1244	C₂×C₄	—	158	4	no	—
1245	C₂×C₄	—	158	4	no	—
1246	C₂×C₄	—	158	2	no	—
1247	C₂×C₄	—	158	2	no	—
1248	C₂×C₄	—	158	2	no	—
1249	C₂×C₄	—	158	2	no	—
1250	C₂×C₄	—	158	2	no	—
1251	C₂×C₄	—	158	8	no	—
1252	C₂×C₄	—	158	8	no	—
1253	C₂×C₄	#14579207	1	4	yes	—
1254	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1255	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1257	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1259	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1262	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	2	4	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	4	8	no	—
1270	C₂²	—	4	4	no	—
1271	C₂²	—	316	8	no	—
1272	C₂²	—	316	4	no	—
1273	C₂²	—	79	4	no	—
1274	C₂²	—	632	16	no	—
1275	C₂²	—	158	2	no	—
1276	C₂²	—	158	4	no	—
1277	C₂²	—	158	2	no	—
1278	C₂²	—	158	4	no	—
1279	C₂²	—	158	4	no	—
1280	C₂²	—	158	2	no	—
1281	C₂²	—	158	2	no	—
1282	C₂²	—	158	2	no	—
1283	C₂²	—	158	8	no	—
1284	C₂²	C₂×#14579207	1	2	yes	—
1285	C₂²	2₋¹⁺⁴×D₇₉	1	2	yes	—
1286	C₂²	#19099398	1	2	yes	—
1287	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1288	C₄	—	2	2	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	4	no	—
1294	C₄	—	2	4	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	158	2	no	—
1297	C₄	—	158	4	no	—
1298	C₄	—	158	4	no	—
1299	C₄	—	158	4	no	—
1300	C₄	—	158	2	no	—
1301	C₄	—	158	2	no	—
1302	C₄	—	158	2	no	—
1303	C₄	—	158	2	no	—
1304	C₄	—	158	2	no	—
1305	C₄	C₂×#14579207	1	4	yes	—
1306	C₂	—	4	4	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	316	4	no	—
1309	C₂	—	316	2	no	—
1310	C₂	—	158	4	no	—
1311	C₂	#23777971	1	4	yes	direct product factor
1312	C₂	C₂²×#14579207	1	1	yes	characteristic
1313	C₂	C₂×2₋¹⁺⁴×D₇₉	1	1	yes	characteristic
1314	C₂	C₂×#19099398	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#542×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#542	D₇₉
hypocenter	C₇₉	C₂×#3561
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #23777971	C₂	direct (N × H)
2. C₂×#19099315	C₂	semidirect
3. C₂×#19099310	C₂	semidirect
4. C₂×#19099285	C₂	semidirect
5. C₂×#19099283	C₂	semidirect
6. C₂×#19099238	C₂	semidirect
7. C₂×#19099236	C₂	semidirect
8. C₂×Q₈×D₃₁₆	C₂	semidirect
9. C₂×#19099226	C₂	semidirect
10. C₂×#19099223	C₂	semidirect
11. C₂×#19099219	C₂	semidirect
12. C₂×#19099210	C₂	semidirect
13. C₂×#19099208	C₂	semidirect
14. C₂×#19099188	C₂	semidirect
15. C₂×#19099187	C₂	semidirect
16. C₂×#19099186	C₂	semidirect
17. C₂×#19099182	C₂	semidirect
18. C₂×#19099147	C₂	semidirect
19. C₂×#19099139	C₂	semidirect
20. C₂×#19099133	C₂	semidirect
21. C₂×#19099118	C₂	semidirect
22. C₂×#19099091	C₂	semidirect
23. C₂×#124×D₇₉	C₂	semidirect
24. C₂×#542×C₇₉	C₂	semidirect
27. C₂³×Dic₁₅₈	C₂²	semidirect
29. C₂²×Q₈×D₇₉	C₂²	semidirect
31. #19099315	C₂²	semidirect
32. #19099310	C₂²	semidirect
33. #19099285	C₂²	semidirect
34. #19099283	C₂²	semidirect
35. #19099238	C₂²	semidirect
36. #19099236	C₂²	semidirect
37. Q₈×D₃₁₆	C₂²	semidirect
38. #19099226	C₂²	semidirect
39. #19099223	C₂²	semidirect
40. #19099219	C₂²	semidirect
41. #19099210	C₂²	semidirect
42. #19099208	C₂²	semidirect
43. #19099188	C₂²	semidirect
44. #19099187	C₂²	semidirect
45. #19099186	C₂²	semidirect
46. #19099182	C₂²	semidirect
47. #19099147	C₂²	semidirect
48. #19099139	C₂²	semidirect
49. #19099133	C₂²	semidirect
50. #19099118	C₂²	semidirect
51. C₂×#14579161	C₂²	semidirect
52. C₂×#14579161	C₂²	semidirect
53. C₂×#14579161	C₂²	semidirect
54. C₂×#14579160	C₂²	semidirect
55. C₂×#14579159	C₂²	semidirect
56. #19099091	C₂²	semidirect
57. C₂×#14579156	C₂²	semidirect
58. C₂×#14579156	C₂²	semidirect
59. C₂×#14579156	C₂²	semidirect
60. C₂×#14579155	C₂²	semidirect
61. C₂×#14579154	C₂²	semidirect
62. C₂×#14579154	C₂²	semidirect
63. C₂×#14579154	C₂²	semidirect
64. C₂×#14579152	C₂²	semidirect
65. C₂×#14579151	C₂²	semidirect
67. C₂×#14579150	C₂²	semidirect
74. C₂×#14579147	C₂²	semidirect
75. C₂×#14579147	C₂²	semidirect
76. C₂×#14579147	C₂²	semidirect
77. #124×D₇₉	C₂²	semidirect
79. C₂×#14579146	C₂²	semidirect
81. C₂×#14579145	C₂²	semidirect
82. C₂×#14579145	C₂²	semidirect
85. C₂×#14579143	C₂²	semidirect
86. C₂×#14579143	C₂²	semidirect
90. C₂×#14579141	C₂²	semidirect
91. C₂×#14579141	C₂²	semidirect
92. C₂×#14579141	C₂²	semidirect
93. C₂×#14579141	C₂²	semidirect
94. C₂×#14579140	C₂²	semidirect
97. C₂×#14579139	C₂²	semidirect
98. C₂×#14579139	C₂²	semidirect
99. C₂×#14579138	C₂²	semidirect
100. C₂×#14579138	C₂²	semidirect
101. C₂×#14579138	C₂²	semidirect
102. C₂×#14579138	C₂²	semidirect
104. C₂×#14579137	C₂²	semidirect
108. C₂×#14579134	C₂²	semidirect
109. C₂×#14579133	C₂²	semidirect
113. C₂×Q₈×Dic₇₉	C₂²	semidirect
114. C₂×C₄×Dic₁₅₈	C₂²	semidirect
115. C₂×#14579126	C₂²	semidirect
116. C₂×#14579126	C₂²	semidirect
117. C₂×#14579126	C₂²	semidirect
120. C₂×D₄×Dic₇₉	C₂²	semidirect
122. C₂×#14579123	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
126. C₂×#14579120	C₂²	semidirect
128. C₂×#14579118	C₂²	semidirect
129. C₂×#14579118	C₂²	semidirect
135. #542×C₇₉	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₇₉	C₂²	semidirect
137. C₂×#126×C₇₉	C₂²	semidirect
139. C₂×#124×C₇₉	C₂²	semidirect
140. C₂×#123×C₇₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
144. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
146. C₂×#117×C₇₉	C₂²	semidirect
160. C₂²×Dic₁₅₈	C₂³	semidirect
164. C₂×Q₈×D₇₉	C₂³	semidirect
185. #14579161	C₂³	semidirect
186. #14579161	C₂³	semidirect
187. #14579161	C₂³	semidirect
188. #14579160	C₂³	semidirect
189. #14579159	C₂³	semidirect
190. #14579156	C₂³	semidirect
191. #14579156	C₂³	semidirect
192. #14579156	C₂³	semidirect
193. #14579155	C₂³	semidirect
194. #14579154	C₂³	semidirect
195. #14579154	C₂³	semidirect
196. #14579154	C₂³	semidirect
197. #14579152	C₂³	semidirect
198. #14579151	C₂³	semidirect
200. #14579150	C₂³	semidirect
207. #14579147	C₂³	semidirect
208. #14579147	C₂³	semidirect
209. #14579147	C₂³	semidirect
211. #14579146	C₂³	semidirect
213. #14579145	C₂³	semidirect
214. #14579145	C₂³	semidirect
217. #14579143	C₂³	semidirect
218. #14579143	C₂³	semidirect
222. #14579141	C₂³	semidirect
223. #14579141	C₂³	semidirect
224. #14579141	C₂³	semidirect
225. #14579141	C₂³	semidirect
226. #14579140	C₂³	semidirect
229. #14579139	C₂³	semidirect
230. #14579139	C₂³	semidirect
231. #14579138	C₂³	semidirect
232. #14579138	C₂³	semidirect
233. #14579138	C₂³	semidirect
234. #14579138	C₂³	semidirect
236. #14579137	C₂³	semidirect
240. #14579134	C₂³	semidirect
241. #14579133	C₂³	semidirect
245. Q₈×Dic₇₉	C₂³	semidirect
246. C₄×Dic₁₅₈	C₂³	semidirect
247. #14579126	C₂³	semidirect
248. #14579126	C₂³	semidirect
249. #14579126	C₂³	semidirect
252. D₄×Dic₇₉	C₂³	semidirect
254. #14579123	C₂³	semidirect
256. C₄×C₂²⋊D₇₉	C₂³	semidirect
258. #14579120	C₂³	semidirect
260. #14579118	C₂³	semidirect
261. #14579118	C₂³	semidirect
323. C₄⋊Q₈×C₇₉	C₂³	semidirect
324. #126×C₇₉	C₂³	semidirect
326. #124×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
328. C₂²⋊Q₈×C₇₉	C₂³	semidirect
329. C₂²⋊Q₈×C₇₉	C₂³	semidirect
331. C₄×Q₈×C₇₉	C₂³	semidirect
333. #117×C₇₉	C₂³	semidirect
651. C₂×C₇₉	#3561	semidirect
675. C₂×#542	D₇₉	semidirect
682. C₇₉	C₂×#3561	semidirect
705. #542	C₂×D₇₉	semidirect
715. C₂×C₄⋊Q₈	C₂×D₇₉	semidirect
724. C₂×#126	C₂×D₇₉	semidirect
740. C₂×#124	C₂×D₇₉	semidirect
750. C₂×#123	C₂×D₇₉	semidirect
769. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
770. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
785. C₂×C₄×Q₈	C₂×D₇₉	semidirect
799. C₂×#117	C₂×D₇₉	semidirect
854. C₄⋊Q₈	C₂²×D₇₉	semidirect
862. #126	C₂²×D₇₉	semidirect
877. #124	C₂²×D₇₉	semidirect
887. #123	C₂²×D₇₉	semidirect
906. C₂²⋊Q₈	C₂²×D₇₉	semidirect
907. C₂²⋊Q₈	C₂²×D₇₉	semidirect
922. C₄×Q₈	C₂²×D₇₉	semidirect
936. #117	C₂²×D₇₉	semidirect
1311. C₂	#23777971	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777971	2
C₂×#19099315	2
C₂×#19099310	2
C₂×#19099285	2
C₂×#19099283	2
C₂×#19099238	2
C₂×#19099236	2
C₂×Q₈×D₃₁₆	2
C₂×#19099226	2
C₂×#19099223	2
C₂×#19099219	2
C₂×#19099210	2
C₂×#19099208	2
C₂×#19099188	2
C₂×#19099187	2
C₂×#19099186	2
C₂×#19099182	2
C₂×#19099147	2
C₂×#19099139	2
C₂×#19099133	2
C₂×#19099118	2
C₂×#19099091	2
C₂×#124×D₇₉	2
C₂×#542×C₇₉	2
C₂×#3561	79

Subgroups — C2×#23777971 #35195608

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777971 #35195608