Subgroups — C₂×#23777475 #35196406

Order 20224.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777475	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099285	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099281	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099269	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099261	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099257	C₂	1	2	yes	maximal, complemented
7	C₂×#19099251	C₂	1	2	yes	maximal, complemented
8	C₂×#19099241	C₂	1	2	yes	maximal, complemented
9	C₂×#19099238	C₂	1	2	yes	maximal, complemented
10	C₂×#19099215	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099209	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099204	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099186	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099173	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099161	C₂	1	2	yes	maximal, complemented
16	C₂×#19099149	C₂	1	2	yes	maximal, complemented
17	C₂×#19099098	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099095	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099091	C₂	1	2	yes	maximal, complemented
20	C₂×#126×D₇₉	C₂	1	2	yes	maximal, complemented
21	C₂×#19099044	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×#11929625	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#552×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929625	C₂²	1	1	yes	characteristic
26	C₂²×#11929624	C₂²	1	1	yes	characteristic
27	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
28	#19099285	C₂²	1	16	yes	complemented
29	#19099281	C₂²	1	16	yes	complemented
30	#19099269	C₂²	1	16	yes	complemented
31	#19099261	C₂²	1	16	yes	complemented
32	#19099257	C₂²	1	32	yes	complemented
33	#19099251	C₂²	1	32	yes	complemented
34	#19099241	C₂²	1	32	yes	complemented
35	#19099238	C₂²	1	32	yes	complemented
36	#19099215	C₂²	1	16	yes	complemented
37	#19099209	C₂²	1	16	yes	complemented
38	#19099204	C₂²	1	16	yes	complemented
39	#19099186	C₂²	1	16	yes	complemented
40	#19099173	C₂²	1	16	yes	complemented
41	#19099161	C₂²	1	32	yes	complemented
42	#19099149	C₂²	1	32	yes	complemented
43	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
45	#19099098	C₂²	1	16	yes	complemented
46	#19099095	C₂²	1	16	yes	complemented
47	#19099091	C₂²	1	32	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579156	C₂²	1	2	yes	complemented
51	C₂×#14579156	C₂²	1	2	yes	complemented
52	C₂×#14579155	C₂²	1	2	yes	complemented
53	C₂×#14579155	C₂²	1	2	yes	complemented
54	C₂×#14579154	C₂²	1	2	yes	—
55	C₂×#14579154	C₂²	1	2	yes	—
56	C₂×#14579154	C₂²	1	1	yes	characteristic
57	C₂×#14579154	C₂²	1	2	yes	—
58	C₂×#14579154	C₂²	1	1	yes	characteristic, complemented
59	#126×D₇₉	C₂²	1	32	yes	complemented
60	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
61	C₂×#14579152	C₂²	1	2	yes	complemented
62	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14579151	C₂²	1	2	yes	complemented
64	C₂×#14579150	C₂²	1	1	yes	characteristic
65	C₂×#14579149	C₂²	1	1	yes	characteristic
66	C₂×#14579148	C₂²	1	1	yes	characteristic
67	C₂×#14579147	C₂²	1	2	yes	—
68	C₂×#14579147	C₂²	1	2	yes	complemented
69	C₂×#14579146	C₂²	1	2	yes	—
70	C₂×#14579146	C₂²	1	2	yes	—
71	C₂×#14579146	C₂²	1	2	yes	complemented
72	C₂×#14579146	C₂²	1	2	yes	complemented
73	C₂×#14579146	C₂²	1	2	yes	complemented
74	C₂×#14579143	C₂²	1	1	yes	characteristic
75	C₂×#14579143	C₂²	1	2	yes	complemented
76	C₂×#14579143	C₂²	1	2	yes	complemented
77	C₂×#14579143	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14579141	C₂²	1	2	yes	complemented
79	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14579141	C₂²	1	2	yes	complemented
81	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14579140	C₂²	1	1	yes	characteristic
83	C₂×#14579139	C₂²	1	2	yes	complemented
84	C₂×#14579139	C₂²	1	2	yes	complemented
85	C₂×#14579139	C₂²	1	2	yes	complemented
86	C₂×#14579136	C₂²	1	2	yes	—
87	C₂×#14579136	C₂²	1	1	yes	characteristic
88	C₂×#14579135	C₂²	1	1	yes	characteristic
89	C₂×#14579135	C₂²	1	2	yes	complemented
90	C₂×#14579134	C₂²	1	2	yes	—
91	C₂×#14579134	C₂²	1	2	yes	complemented
92	C₂×#14579132	C₂²	1	1	yes	characteristic
93	C₂×#14579131	C₂²	1	2	yes	—
94	C₂×#14579129	C₂²	1	2	yes	—
95	#19099044	C₂²	1	16	yes	complemented
96	#19099037	C₂²	1	16	yes	complemented
97	C₄×#11929625	C₂²	1	16	yes	complemented
98	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
100	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
104	C₂×C₄×D₃₁₆	C₂²	1	2	yes	—
105	C₂×C₄×D₃₁₆	C₂²	1	2	yes	—
106	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
107	C₂×#14579123	C₂²	1	1	yes	characteristic
108	C₂×#14579123	C₂²	1	1	yes	characteristic
109	C₂×#14579123	C₂²	1	1	yes	characteristic
110	C₂×#14579123	C₂²	1	1	yes	characteristic
111	C₂×#14579123	C₂²	1	1	yes	characteristic
112	C₂×#14579123	C₂²	1	2	yes	complemented
113	C₂×#14579123	C₂²	1	2	yes	complemented
114	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
115	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
116	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
117	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
119	C₂×#14579120	C₂²	1	1	yes	characteristic
120	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14579119	C₂²	1	2	yes	complemented
122	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14579119	C₂²	1	2	yes	complemented
124	C₂×#14579119	C₂²	1	2	yes	complemented
125	C₂×#14579118	C₂²	1	2	yes	complemented
126	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
127	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
133	C₂×C₄²×D₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	#552×C₇₉	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₉	C₂²	1	2	yes	—
137	C₂×#125×C₇₉	C₂²	1	2	yes	complemented
138	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×#123×C₇₉	C₂²	1	2	yes	—
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic
141	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
144	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
145	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
146	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929625	—	2	8	no	—
149	C₂×#11929625	C₂³	1	8	yes	—
150	C₂×#11929624	—	2	8	no	—
151	C₂×#11929624	C₂³	1	8	yes	—
152	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
153	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
155	C₂²×D₃₁₆	—	2	8	no	—
156	C₂²×D₃₁₆	C₂³	1	8	yes	—
157	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
158	C₂²×D₃₁₆	C₂³	1	2	yes	—
159	C₂²×D₃₁₆	C₂³	1	2	yes	—
160	C₂²×D₃₁₆	C₂³	1	2	yes	—
161	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
166	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
167	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
169	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
174	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
175	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
176	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
177	#14579160	C₂³	1	8	yes	complemented
178	#14579159	C₂³	1	8	yes	complemented
179	#14579156	C₂³	1	16	yes	complemented
180	#14579156	C₂³	1	16	yes	complemented
181	#14579156	C₂³	1	16	yes	complemented
182	#14579156	C₂³	1	16	yes	complemented
183	#14579155	C₂³	1	16	yes	complemented
184	#14579155	C₂³	1	16	yes	complemented
185	#14579154	C₂³	1	16	yes	—
186	#14579154	C₂³	1	16	yes	—
187	#14579154	C₂³	1	16	yes	—
188	#14579154	C₂³	1	8	yes	—
189	#14579154	C₂³	1	8	yes	complemented
190	#14579152	C₂³	1	16	yes	complemented
191	#14579152	C₂³	1	8	yes	complemented
192	#14579152	C₂³	1	8	yes	complemented
193	#14579151	C₂³	1	16	yes	complemented
194	#14579150	C₂³	1	8	yes	—
195	#14579149	C₂³	1	8	yes	—
196	#14579148	C₂³	1	8	yes	—
197	#14579147	C₂³	1	16	yes	—
198	#14579147	C₂³	1	16	yes	complemented
199	#14579146	C₂³	1	16	yes	—
200	#14579146	C₂³	1	16	yes	—
201	#14579146	C₂³	1	16	yes	complemented
202	#14579146	C₂³	1	16	yes	complemented
203	#14579146	C₂³	1	16	yes	complemented
204	#14579143	C₂³	1	8	yes	—
205	#14579143	C₂³	1	16	yes	complemented
206	#14579143	C₂³	1	16	yes	complemented
207	#14579143	C₂³	1	8	yes	complemented
208	#14579141	C₂³	1	16	yes	complemented
209	#14579141	C₂³	1	8	yes	complemented
210	#14579141	C₂³	1	16	yes	complemented
211	#14579141	C₂³	1	8	yes	complemented
212	#14579140	C₂³	1	8	yes	—
213	#14579139	C₂³	1	16	yes	complemented
214	#14579139	C₂³	1	16	yes	complemented
215	#14579139	C₂³	1	16	yes	complemented
216	#14579136	C₂³	1	16	yes	—
217	#14579136	C₂³	1	8	yes	—
218	#14579135	C₂³	1	8	yes	—
219	#14579135	C₂³	1	16	yes	complemented
220	#14579134	C₂³	1	16	yes	—
221	#14579134	C₂³	1	16	yes	complemented
222	#14579132	C₂³	1	8	yes	—
223	#14579131	C₂³	1	16	yes	—
224	#14579129	C₂³	1	16	yes	—
225	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
226	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
227	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
228	#14579126	C₂³	1	8	yes	complemented
229	#14579126	C₂³	1	8	yes	complemented
230	C₄×D₃₁₆	C₂³	1	16	yes	—
231	C₄×D₃₁₆	C₂³	1	8	yes	—
232	C₄×D₃₁₆	C₂³	1	16	yes	—
233	C₄×D₃₁₆	C₂³	1	16	yes	complemented
234	#14579123	C₂³	1	8	yes	—
235	#14579123	C₂³	1	8	yes	—
236	#14579123	C₂³	1	8	yes	—
237	#14579123	C₂³	1	8	yes	—
238	#14579123	C₂³	1	8	yes	—
239	#14579123	C₂³	1	16	yes	complemented
240	#14579123	C₂³	1	16	yes	complemented
241	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
242	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
243	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
244	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
245	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
246	#14579120	C₂³	1	8	yes	—
247	#14579120	C₂³	1	8	yes	complemented
248	#14579119	C₂³	1	16	yes	complemented
249	#14579119	C₂³	1	16	yes	complemented
250	#14579119	C₂³	1	16	yes	complemented
251	#14579119	C₂³	1	8	yes	complemented
252	#14579118	C₂³	1	16	yes	complemented
253	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
262	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
273	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
274	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
275	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
276	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
286	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	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	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
300	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
301	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
302	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
303	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
306	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
308	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
309	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
310	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
312	C₄²×D₇₉	C₂³	1	16	yes	complemented
313	C₄²×D₇₉	C₂³	1	8	yes	complemented
314	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
315	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
317	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
319	#126×C₇₉	C₂³	1	16	yes	—
320	#125×C₇₉	C₂³	1	16	yes	complemented
321	#125×C₇₉	C₂³	1	8	yes	complemented
322	#123×C₇₉	C₂³	1	16	yes	—
323	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	—
324	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
325	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
326	C₄×D₄×C₇₉	C₂³	1	8	yes	—
327	#117×C₇₉	C₂³	1	8	yes	—
328	#117×C₇₉	C₂³	1	16	yes	complemented
329	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
345	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
346	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
347	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
348	C₂³×D₇₉	—	2	8	no	—
349	C₂³×D₇₉	—	4	4	no	—
350	C₂³×D₇₉	—	4	4	no	—
351	C₂³×D₇₉	C₂⁴	1	2	yes	—
352	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
353	C₂³×D₇₉	C₂⁴	1	2	yes	—
354	C₂³×D₇₉	C₂⁴	1	8	yes	—
355	#11929625	—	2	32	no	—
356	#11929624	—	2	32	no	—
357	C₂×Dic₁₅₈	—	2	4	no	—
358	C₂×Dic₁₅₈	—	4	4	no	—
359	C₂×Dic₁₅₈	—	4	2	no	—
360	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
361	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
362	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
363	C₂×D₃₁₆	—	2	32	no	—
364	C₂×D₃₁₆	—	2	8	no	—
365	C₂×D₃₁₆	—	2	8	no	—
366	C₂×D₃₁₆	—	2	4	no	—
367	C₂×D₃₁₆	—	4	4	no	—
368	C₂×D₃₁₆	#41	1	8	yes	—
369	C₂×D₃₁₆	C₂⁴	1	8	yes	—
370	C₂×D₃₁₆	C₂⁴	1	4	yes	—
371	C₂×D₃₁₆	C₂⁴	1	8	yes	—
372	C₂×D₃₁₆	C₂⁴	1	8	yes	—
373	C₂×D₃₁₆	C₂⁴	1	4	yes	—
374	C₂×C₂²⋊D₇₉	—	2	8	no	—
375	C₂×C₂²⋊D₇₉	—	4	2	no	—
376	C₂×C₂²⋊D₇₉	—	4	2	no	—
377	C₂×C₂²⋊D₇₉	—	4	4	no	—
378	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
379	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
380	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
381	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
384	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂×C₄×D₇₉	—	2	8	no	—
392	C₂×C₄×D₇₉	—	2	8	no	—
393	C₂×C₄×D₇₉	—	2	4	no	—
394	C₂×C₄×D₇₉	—	4	4	no	—
395	C₂×C₄×D₇₉	—	4	2	no	—
396	C₂×C₄×D₇₉	—	4	4	no	—
397	C₂×C₄×D₇₉	—	4	4	no	—
398	C₂×C₄×D₇₉	—	4	4	no	—
399	C₂×C₄×D₇₉	—	4	4	no	—
400	C₂×C₄×D₇₉	—	4	4	no	—
401	C₂×C₄×D₇₉	—	4	2	no	—
402	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
403	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
404	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
405	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
406	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
407	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
408	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
409	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
410	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
411	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
412	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
413	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
414	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
415	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
416	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
417	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
418	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
419	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
420	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
421	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
422	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
423	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
424	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
425	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
426	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
427	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
428	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
429	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
430	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
431	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
432	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
433	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
434	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
435	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
436	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
437	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
438	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
439	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
440	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
441	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
442	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
443	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
444	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
445	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
447	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	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	4	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
456	C₄×Dic₇₉	C₂⁴	1	4	yes	—
457	C₄×Dic₇₉	C₂⁴	1	4	yes	—
458	C₄×Dic₇₉	C₂⁴	1	8	yes	—
459	C₄×Dic₇₉	C₂⁴	1	4	yes	—
460	C₄×Dic₇₉	C₂⁴	1	8	yes	—
461	C₄×Dic₇₉	C₂⁴	1	8	yes	—
462	C₄×Dic₇₉	C₂⁴	1	8	yes	—
463	C₄×Dic₇₉	C₂⁴	1	4	yes	—
464	C₄×Dic₇₉	C₂⁴	1	4	yes	—
465	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
466	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
467	C₂×Q₈×C₇₉	—	2	4	no	—
468	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
469	C₂×D₄×C₇₉	—	4	2	no	—
470	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₇₉	—	2	4	no	—
472	C₂²×C₄×C₇₉	—	2	4	no	—
473	C₂²×C₄×C₇₉	—	4	4	no	—
474	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
475	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
477	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
479	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
485	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
486	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
487	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
488	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
491	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
492	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
494	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
498	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
501	C₄²×C₇₉	C₂⁴	1	8	yes	—
502	C₄²×C₇₉	C₂⁴	1	8	yes	—
503	C₄²×C₇₉	C₂⁴	1	4	yes	—
504	C₂³×C₇₉	—	2	2	no	—
505	C₂³×C₇₉	—	2	2	no	—
506	C₂³×C₇₉	—	2	2	no	—
507	C₂³×C₇₉	—	2	2	no	—
508	C₂³×C₇₉	—	2	2	no	—
509	C₂³×C₇₉	—	2	2	no	—
510	C₂³×C₇₉	C₂⁵	1	2	yes	—
511	C₂³×C₇₉	C₂⁵	1	2	yes	—
512	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
513	C₂²×D₇₉	—	2	4	no	—
514	C₂²×D₇₉	—	2	4	no	—
515	C₂²×D₇₉	—	2	2	no	—
516	C₂²×D₇₉	—	2	4	no	—
517	C₂²×D₇₉	—	2	2	no	—
518	C₂²×D₇₉	—	2	4	no	—
519	C₂²×D₇₉	—	2	2	no	—
520	C₂²×D₇₉	—	2	4	no	—
521	C₂²×D₇₉	—	2	16	no	—
522	C₂²×D₇₉	—	4	8	no	—
523	C₂²×D₇₉	—	4	8	no	—
524	C₂²×D₇₉	—	8	16	no	—
525	C₂²×D₇₉	C₂×#41	1	8	yes	—
526	C₂²×D₇₉	C₂⁵	1	4	yes	—
527	C₂²×D₇₉	C₂⁵	1	2	yes	—
528	C₂²×D₇₉	C₂⁵	1	4	yes	—
529	Q₈×C₇₉	—	2	8	no	—
530	D₄×C₇₉	—	4	4	no	—
531	C₂×C₄×C₇₉	—	2	2	no	—
532	C₂×C₄×C₇₉	—	2	4	no	—
533	C₂×C₄×C₇₉	—	2	2	no	—
534	C₂×C₄×C₇₉	—	2	2	no	—
535	C₂×C₄×C₇₉	—	2	4	no	—
536	C₂×C₄×C₇₉	—	2	4	no	—
537	C₂×C₄×C₇₉	—	2	4	no	—
538	C₂×C₄×C₇₉	—	2	2	no	—
539	C₂×C₄×C₇₉	—	2	8	no	—
540	C₂×C₄×C₇₉	—	2	8	no	—
541	C₂×C₄×C₇₉	—	4	8	no	—
542	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
543	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
544	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
545	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
546	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
547	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
548	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
549	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
550	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
551	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
552	C₂²⋊D₇₉	—	2	16	no	—
553	C₂²⋊D₇₉	—	4	4	no	—
554	C₂²⋊D₇₉	—	4	8	no	—
555	C₂²⋊D₇₉	—	4	4	no	—
556	C₂×Dic₇₉	—	2	2	no	—
557	C₂×Dic₇₉	—	2	4	no	—
558	C₂×Dic₇₉	—	2	2	no	—
559	C₂×Dic₇₉	—	2	2	no	—
560	C₂×Dic₇₉	—	2	2	no	—
561	C₂×Dic₇₉	—	2	2	no	—
562	C₂×Dic₇₉	—	2	2	no	—
563	C₂×Dic₇₉	—	2	4	no	—
564	C₂×Dic₇₉	—	2	2	no	—
565	C₂×Dic₇₉	C₂⁵	1	2	yes	—
566	C₂×Dic₇₉	C₂⁵	1	2	yes	—
567	C₂×Dic₇₉	C₂⁵	1	2	yes	—
568	C₂×Dic₇₉	C₂⁵	1	2	yes	—
569	C₂×Dic₇₉	C₂⁵	1	4	yes	—
570	C₂×Dic₇₉	C₂⁵	1	4	yes	—
571	C₂×Dic₇₉	C₂⁵	1	2	yes	—
572	C₂×Dic₇₉	C₂⁵	1	2	yes	—
573	C₂×Dic₇₉	C₂⁵	1	2	yes	—
574	D₃₁₆	—	2	16	no	—
575	D₃₁₆	—	2	16	no	—
576	D₃₁₆	—	2	8	no	—
577	D₃₁₆	—	4	8	no	—
578	D₃₁₆	C₂×#41	1	16	yes	—
579	C₄×D₇₉	—	2	16	no	—
580	C₄×D₇₉	—	2	16	no	—
581	C₄×D₇₉	—	2	8	no	—
582	C₄×D₇₉	—	4	8	no	—
583	C₄×D₇₉	—	4	8	no	—
584	C₄×D₇₉	—	4	8	no	—
585	C₄×D₇₉	—	4	8	no	—
586	C₄×D₇₉	—	4	8	no	—
587	C₄×D₇₉	—	4	4	no	—
588	C₄×D₇₉	—	4	8	no	—
589	C₄×D₇₉	—	4	4	no	—
590	Dic₁₅₈	—	2	8	no	—
591	Dic₁₅₈	—	4	8	no	—
592	Dic₁₅₈	—	4	4	no	—
593	C₂²×C₇₉	—	2	2	no	—
594	C₂²×C₇₉	—	2	2	no	—
595	C₂²×C₇₉	—	2	2	no	—
596	C₂²×C₇₉	—	2	2	no	—
597	C₂²×C₇₉	—	2	2	no	—
598	C₂²×C₇₉	—	2	2	no	—
599	C₂²×C₇₉	—	4	4	no	—
600	C₂²×C₇₉	—	4	4	no	—
601	C₂²×C₇₉	C₂²×#41	1	2	yes	—
602	C₂²×C₇₉	#585	1	2	yes	—
603	C₂²×C₇₉	#585	1	2	yes	—
604	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
605	C₂×D₇₉	—	2	4	no	—
606	C₂×D₇₉	—	2	4	no	—
607	C₂×D₇₉	—	2	16	no	—
608	C₂×D₇₉	—	2	4	no	—
609	C₂×D₇₉	—	2	2	no	—
610	C₂×D₇₉	—	2	2	no	—
611	C₂×D₇₉	—	2	4	no	—
612	C₂×D₇₉	—	2	4	no	—
613	C₂×D₇₉	—	2	2	no	—
614	C₂×D₇₉	—	4	4	no	—
615	C₂×D₇₉	—	4	8	no	—
616	C₂×D₇₉	—	8	16	no	—
617	C₂×D₇₉	C₂²×#41	1	8	yes	—
618	C₄×C₇₉	—	2	2	no	—
619	C₄×C₇₉	—	2	2	no	—
620	C₄×C₇₉	—	2	4	no	—
621	C₄×C₇₉	—	2	4	no	—
622	C₄×C₇₉	—	2	4	no	—
623	C₄×C₇₉	—	2	2	no	—
624	C₄×C₇₉	—	2	4	no	—
625	C₄×C₇₉	—	2	2	no	—
626	C₄×C₇₉	C₂²×#41	1	4	yes	—
627	Dic₇₉	—	2	4	no	—
628	Dic₇₉	—	2	2	no	—
629	Dic₇₉	—	2	2	no	—
630	Dic₇₉	—	2	4	no	—
631	Dic₇₉	—	2	2	no	—
632	Dic₇₉	—	2	2	no	—
633	Dic₇₉	—	2	2	no	—
634	Dic₇₉	—	2	2	no	—
635	Dic₇₉	—	2	2	no	—
636	C₂×#3521	—	79	1	no	maximal, Sylow
637	C₂×C₇₉	—	4	2	no	—
638	C₂×C₇₉	—	4	2	no	—
639	C₂×C₇₉	#3521	1	4	yes	complemented
640	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
641	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
642	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
643	D₇₉	—	2	8	no	—
644	D₇₉	—	4	2	no	—
645	D₇₉	—	4	4	no	—
646	#3521	—	79	32	no	—
647	C₂×#556	—	79	1	no	—
648	C₂×#556	—	79	1	no	—
649	C₂×#554	—	79	1	no	—
650	C₂×#553	—	79	2	no	—
651	C₂×#553	—	79	1	no	—
652	C₂×#552	—	79	2	no	—
653	C₂×#552	D₇₉	1	1	yes	characteristic, complemented
654	C₂×#551	—	79	2	no	—
655	C₂×#551	—	79	2	no	—
656	C₂×#547	—	79	1	no	—
657	C₂×#546	—	79	1	no	—
658	C₂×#546	—	79	1	no	—
659	C₂×#542	—	79	1	no	—
660	C₂×#541	—	79	1	no	—
661	C₂×#539	—	79	2	no	—
662	C₂×#538	—	79	2	no	—
663	C₂×#529	—	79	1	no	—
664	C₂×#529	—	79	1	no	—
665	C₂×#529	—	79	2	no	—
666	C₂²×#126	—	79	2	no	—
667	C₂×#520	—	79	1	no	—
668	C₂×#518	—	79	1	no	—
669	C₂×C₄×#41	—	79	1	no	—
670	C₇₉	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
671	C₂²×#41	—	79	1	no	—
672	C₂²×#41	—	79	1	no	—
673	C₂³×D₄	—	79	1	no	—
674	#556	—	79	16	no	—
675	#556	—	79	16	no	—
676	#554	—	79	16	no	—
677	#553	—	79	32	no	—
678	#553	—	79	16	no	—
679	#552	—	79	32	no	—
680	#552	C₂×D₇₉	1	16	yes	complemented
681	#551	—	79	32	no	—
682	#551	—	79	32	no	—
683	#547	—	79	16	no	—
684	#546	—	79	16	no	—
685	#546	—	79	16	no	—
686	#542	—	79	16	no	—
687	#541	—	79	16	no	—
688	#539	—	79	32	no	—
689	#538	—	79	32	no	—
690	C₂×C₄⋊Q₈	—	79	1	no	—
691	C₂×C₄⋊Q₈	—	79	1	no	—
692	#529	—	79	16	no	—
693	#529	—	79	16	no	—
694	#529	—	79	32	no	—
695	C₂×#126	—	79	32	no	—
696	C₂×#126	—	79	2	no	—
697	C₂×#126	—	79	2	no	—
698	C₂×#126	—	79	2	no	—
699	C₂×#126	—	79	2	no	—
700	C₂×#126	—	79	1	no	—
701	C₂×#126	—	79	2	no	—
702	C₂×#126	—	79	2	no	—
703	C₂×#126	—	79	1	no	—
704	C₂×#126	—	79	2	no	—
705	C₂×#126	—	79	2	no	—
706	C₂×#126	—	79	2	no	—
707	C₂×#126	C₂×D₇₉	1	2	yes	—
708	C₂×#125	—	79	2	no	—
709	C₂×#125	—	79	1	no	—
710	C₂×#125	—	79	2	no	—
711	C₂×#125	—	79	1	no	—
712	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
713	C₂×#125	C₂×D₇₉	1	2	yes	complemented
714	C₂×#124	—	79	1	no	—
715	C₂×#124	—	79	1	no	—
716	C₂×#124	—	79	2	no	—
717	C₂×#124	—	79	2	no	—
718	C₂×#124	—	79	1	no	—
719	C₂×#123	—	79	2	no	—
720	C₂×#123	—	79	2	no	—
721	C₂×#123	—	79	2	no	—
722	C₂×#123	—	79	2	no	—
723	C₂×#123	—	79	2	no	—
724	C₂×#123	—	79	2	no	—
725	C₂×#123	—	79	1	no	—
726	C₂×#123	—	79	1	no	—
727	C₂×#123	—	79	2	no	—
728	C₂×#123	C₂×D₇₉	1	2	yes	—
729	C₂×C₂²⋊Q₈	—	79	1	no	—
730	C₂×C₂²⋊Q₈	—	79	1	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₂²⋊Q₈	—	79	2	no	—
733	C₂×C₂²⋊Q₈	—	79	2	no	—
734	C₂×C₂²⋊Q₈	—	79	2	no	—
735	C₂×C₂²⋊Q₈	—	79	2	no	—
736	C₂×C₂²⋊Q₈	—	79	2	no	—
737	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
738	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
739	C₂×#121	—	79	1	no	—
740	C₂×#121	—	79	2	no	—
741	C₂×#121	—	79	1	no	—
742	C₂×#121	—	79	1	no	—
743	C₂×#121	—	79	2	no	—
744	C₂×#121	—	79	2	no	—
745	C₂×#121	—	79	2	no	—
746	C₂×#120	—	79	2	no	—
747	C₂×#120	—	79	2	no	—
748	#520	—	79	16	no	—
749	#518	—	79	16	no	—
750	C₄×#41	—	79	16	no	—
751	C₂×C₄×Q₈	—	79	1	no	—
752	C₂×C₄×Q₈	—	79	1	no	—
753	C₂×C₄×Q₈	—	79	1	no	—
754	C₂×C₄×Q₈	—	79	2	no	—
755	C₂×C₄×Q₈	—	79	1	no	—
756	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
757	C₂×C₄×D₄	—	79	2	no	—
758	C₂×C₄×D₄	—	79	2	no	—
759	C₂×C₄×D₄	—	79	1	no	—
760	C₂×C₄×D₄	—	79	1	no	—
761	C₂×C₄×D₄	—	79	2	no	—
762	C₂×C₄×D₄	—	79	1	no	—
763	C₂×C₄×D₄	—	79	2	no	—
764	C₂×C₄×D₄	—	79	1	no	—
765	C₂×C₄×D₄	—	79	1	no	—
766	C₂×C₄×D₄	—	79	1	no	—
767	C₂×C₄×D₄	—	79	1	no	—
768	C₂×C₄×D₄	—	79	2	no	—
769	C₂×C₄×D₄	—	79	1	no	—
770	C₂×C₄×D₄	—	79	2	no	—
771	C₂×C₄×D₄	—	79	2	no	—
772	C₂×C₄×D₄	—	79	2	no	—
773	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
774	C₂×#117	—	79	1	no	—
775	C₂×#117	—	79	1	no	—
776	C₂×#117	—	79	2	no	—
777	C₂×#117	—	79	1	no	—
778	C₂×#117	—	79	2	no	—
779	C₂×#117	—	79	2	no	—
780	C₂×#117	—	79	2	no	—
781	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
782	C₂×#117	C₂×D₇₉	1	2	yes	complemented
783	C₂²×C₄⋊C₄	—	79	2	no	—
784	C₂²×C₄⋊C₄	—	79	2	no	—
785	C₂²×C₄⋊C₄	—	79	2	no	—
786	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
787	C₂²×C₂²⋊C₄	—	79	2	no	—
788	C₂²×C₂²⋊C₄	—	79	2	no	—
789	C₂²×C₂²⋊C₄	—	79	2	no	—
790	C₂²×C₂²⋊C₄	—	79	2	no	—
791	C₂²×C₄²	—	79	2	no	—
792	C₂²×C₄²	—	79	1	no	—
793	C₂⁵	—	79	2	no	—
794	C₂×#41	—	79	8	no	—
795	C₂×#41	—	79	8	no	—
796	C₂×#41	—	158	8	no	—
797	C₂×#41	—	158	8	no	—
798	C₂²×Q₈	—	79	1	no	—
799	C₂²×Q₈	—	79	2	no	—
800	C₂²×Q₈	—	79	1	no	—
801	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
802	C₂²×D₄	—	79	1	no	—
803	C₂²×D₄	—	79	2	no	—
804	C₂²×D₄	—	79	1	no	—
805	C₂²×D₄	—	79	2	no	—
806	C₂²×D₄	—	79	2	no	—
807	C₂²×D₄	—	79	1	no	—
808	C₂²×D₄	—	79	2	no	—
809	C₂²×D₄	—	79	2	no	—
810	C₂²×D₄	—	79	1	no	—
811	C₂²×D₄	—	79	8	no	—
812	C₂²×D₄	—	158	8	no	—
813	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
814	C₂³×C₄	—	79	2	no	—
815	C₂³×C₄	—	79	2	no	—
816	C₂³×C₄	—	79	2	no	—
817	C₂³×C₄	—	79	2	no	—
818	C₂³×C₄	—	79	2	no	—
819	C₂³×C₄	—	79	2	no	—
820	C₂³×C₄	—	79	1	no	—
821	C₂³×C₄	—	79	1	no	—
822	C₂³×C₄	—	79	2	no	—
823	C₂³×C₄	—	79	2	no	—
824	C₂³×C₄	—	79	1	no	—
825	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
826	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
827	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
828	C₄⋊Q₈	—	79	8	no	—
829	C₄⋊Q₈	—	79	8	no	—
830	#126	—	79	16	no	—
831	#126	—	79	16	no	—
832	#126	—	79	16	no	—
833	#126	—	79	16	no	—
834	#126	—	79	8	no	—
835	#126	—	79	16	no	—
836	#126	—	79	16	no	—
837	#126	—	79	8	no	—
838	#126	—	79	16	no	—
839	#126	—	79	16	no	—
840	#126	—	79	16	no	—
841	#126	C₂²×D₇₉	1	16	yes	—
842	#125	—	79	16	no	—
843	#125	—	79	8	no	—
844	#125	—	79	16	no	—
845	#125	—	79	8	no	—
846	#125	C₂²×D₇₉	1	8	yes	complemented
847	#125	C₂²×D₇₉	1	16	yes	complemented
848	#124	—	79	8	no	—
849	#124	—	79	8	no	—
850	#124	—	79	16	no	—
851	#124	—	79	16	no	—
852	#124	—	79	8	no	—
853	#123	—	79	16	no	—
854	#123	—	79	16	no	—
855	#123	—	79	16	no	—
856	#123	—	79	16	no	—
857	#123	—	79	16	no	—
858	#123	—	79	16	no	—
859	#123	—	79	8	no	—
860	#123	—	79	8	no	—
861	#123	—	79	16	no	—
862	#123	C₂²×D₇₉	1	16	yes	—
863	C₂²⋊Q₈	—	79	8	no	—
864	C₂²⋊Q₈	—	79	8	no	—
865	C₂²⋊Q₈	—	79	8	no	—
866	C₂²⋊Q₈	—	79	16	no	—
867	C₂²⋊Q₈	—	79	16	no	—
868	C₂²⋊Q₈	—	79	16	no	—
869	C₂²⋊Q₈	—	79	16	no	—
870	C₂²⋊Q₈	—	79	16	no	—
871	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	—
872	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
873	#121	—	79	8	no	—
874	#121	—	79	16	no	—
875	#121	—	79	8	no	—
876	#121	—	79	8	no	—
877	#121	—	79	16	no	—
878	#121	—	79	16	no	—
879	#121	—	79	16	no	—
880	#120	—	79	16	no	—
881	#120	—	79	16	no	—
882	C₄×Q₈	—	79	8	no	—
883	C₄×Q₈	—	79	8	no	—
884	C₄×Q₈	—	79	8	no	—
885	C₄×Q₈	—	79	16	no	—
886	C₄×Q₈	—	79	8	no	—
887	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
888	C₄×D₄	—	79	16	no	—
889	C₄×D₄	—	79	16	no	—
890	C₄×D₄	—	79	8	no	—
891	C₄×D₄	—	79	8	no	—
892	C₄×D₄	—	79	16	no	—
893	C₄×D₄	—	79	8	no	—
894	C₄×D₄	—	79	16	no	—
895	C₄×D₄	—	79	8	no	—
896	C₄×D₄	—	79	8	no	—
897	C₄×D₄	—	79	8	no	—
898	C₄×D₄	—	79	8	no	—
899	C₄×D₄	—	79	16	no	—
900	C₄×D₄	—	79	8	no	—
901	C₄×D₄	—	79	16	no	—
902	C₄×D₄	—	79	16	no	—
903	C₄×D₄	—	79	16	no	—
904	C₄×D₄	C₂²×D₇₉	1	8	yes	—
905	#117	—	79	8	no	—
906	#117	—	79	8	no	—
907	#117	—	79	16	no	—
908	#117	—	79	8	no	—
909	#117	—	79	16	no	—
910	#117	—	79	16	no	—
911	#117	—	79	16	no	—
912	#117	C₂²×D₇₉	1	8	yes	—
913	#117	C₂²×D₇₉	1	16	yes	complemented
914	C₂×C₄⋊C₄	—	79	1	no	—
915	C₂×C₄⋊C₄	—	79	1	no	—
916	C₂×C₄⋊C₄	—	79	1	no	—
917	C₂×C₄⋊C₄	—	79	2	no	—
918	C₂×C₄⋊C₄	—	79	2	no	—
919	C₂×C₄⋊C₄	—	79	2	no	—
920	C₂×C₄⋊C₄	—	79	2	no	—
921	C₂×C₄⋊C₄	—	79	2	no	—
922	C₂×C₄⋊C₄	—	79	2	no	—
923	C₂×C₄⋊C₄	—	79	1	no	—
924	C₂×C₄⋊C₄	—	79	1	no	—
925	C₂×C₄⋊C₄	—	79	1	no	—
926	C₂×C₄⋊C₄	—	79	1	no	—
927	C₂×C₄⋊C₄	—	79	1	no	—
928	C₂×C₄⋊C₄	—	79	2	no	—
929	C₂×C₄⋊C₄	—	79	2	no	—
930	C₂×C₄⋊C₄	—	79	1	no	—
931	C₂×C₄⋊C₄	—	79	2	no	—
932	C₂×C₄⋊C₄	—	79	1	no	—
933	C₂×C₄⋊C₄	—	79	2	no	—
934	C₂×C₄⋊C₄	—	79	16	no	—
935	C₂×C₄⋊C₄	—	79	16	no	—
936	C₂×C₄⋊C₄	—	79	16	no	—
937	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
938	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
939	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
940	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
943	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
944	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
946	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
948	C₂×C₂²⋊C₄	—	79	1	no	—
949	C₂×C₂²⋊C₄	—	79	1	no	—
950	C₂×C₂²⋊C₄	—	79	1	no	—
951	C₂×C₂²⋊C₄	—	79	2	no	—
952	C₂×C₂²⋊C₄	—	79	1	no	—
953	C₂×C₂²⋊C₄	—	79	1	no	—
954	C₂×C₂²⋊C₄	—	79	1	no	—
955	C₂×C₂²⋊C₄	—	79	2	no	—
956	C₂×C₂²⋊C₄	—	79	2	no	—
957	C₂×C₂²⋊C₄	—	79	2	no	—
958	C₂×C₂²⋊C₄	—	79	2	no	—
959	C₂×C₂²⋊C₄	—	79	2	no	—
960	C₂×C₂²⋊C₄	—	79	2	no	—
961	C₂×C₂²⋊C₄	—	79	2	no	—
962	C₂×C₂²⋊C₄	—	79	2	no	—
963	C₂×C₂²⋊C₄	—	79	2	no	—
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	2	no	—
970	C₂×C₂²⋊C₄	—	79	1	no	—
971	C₂×C₂²⋊C₄	—	79	16	no	—
972	C₂×C₂²⋊C₄	—	79	16	no	—
973	C₂×C₂²⋊C₄	—	79	16	no	—
974	C₂×C₂²⋊C₄	—	79	16	no	—
975	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
980	C₂×C₄²	—	79	1	no	—
981	C₂×C₄²	—	79	1	no	—
982	C₂×C₄²	—	79	2	no	—
983	C₂×C₄²	—	79	2	no	—
984	C₂×C₄²	—	79	2	no	—
985	C₂×C₄²	—	79	1	no	—
986	C₂×C₄²	—	79	1	no	—
987	C₂×C₄²	—	79	2	no	—
988	C₂×C₄²	—	79	1	no	—
989	C₂×C₄²	—	79	16	no	—
990	C₂×C₄²	—	79	8	no	—
991	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
992	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
993	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
994	C₂⁴	—	316	4	no	—
995	C₂⁴	—	316	4	no	—
996	C₂⁴	—	79	8	no	—
997	C₂⁴	—	79	2	no	—
998	C₂⁴	—	79	2	no	—
999	C₂⁴	—	79	1	no	—
1000	C₂⁴	—	158	8	no	—
1001	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1002	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1003	#41	—	158	32	no	—
1004	#41	—	158	32	no	—
1005	C₂×Q₈	—	2	4	no	—
1006	C₂×Q₈	—	316	2	no	—
1007	C₂×Q₈	—	316	4	no	—
1008	C₂×Q₈	—	79	4	no	—
1009	C₂×Q₈	—	79	8	no	—
1010	C₂×Q₈	—	79	4	no	—
1011	C₂×Q₈	—	158	4	no	—
1012	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	316	4	no	—
1015	C₂×D₄	—	316	2	no	—
1016	C₂×D₄	—	316	4	no	—
1017	C₂×D₄	—	316	2	no	—
1018	C₂×D₄	—	79	4	no	—
1019	C₂×D₄	—	79	8	no	—
1020	C₂×D₄	—	79	4	no	—
1021	C₂×D₄	—	79	8	no	—
1022	C₂×D₄	—	79	8	no	—
1023	C₂×D₄	—	79	8	no	—
1024	C₂×D₄	—	79	4	no	—
1025	C₂×D₄	—	79	8	no	—
1026	C₂×D₄	—	79	8	no	—
1027	C₂×D₄	—	79	4	no	—
1028	C₂×D₄	—	158	32	no	—
1029	C₂×D₄	—	158	8	no	—
1030	C₂×D₄	—	158	8	no	—
1031	C₂×D₄	—	158	8	no	—
1032	C₂×D₄	—	158	4	no	—
1033	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	316	4	no	—
1038	C₂²×C₄	—	316	4	no	—
1039	C₂²×C₄	—	316	4	no	—
1040	C₂²×C₄	—	316	2	no	—
1041	C₂²×C₄	—	316	2	no	—
1042	C₂²×C₄	—	316	4	no	—
1043	C₂²×C₄	—	316	4	no	—
1044	C₂²×C₄	—	316	4	no	—
1045	C₂²×C₄	—	79	8	no	—
1046	C₂²×C₄	—	79	8	no	—
1047	C₂²×C₄	—	79	4	no	—
1048	C₂²×C₄	—	79	4	no	—
1049	C₂²×C₄	—	79	8	no	—
1050	C₂²×C₄	—	79	8	no	—
1051	C₂²×C₄	—	79	8	no	—
1052	C₂²×C₄	—	79	8	no	—
1053	C₂²×C₄	—	79	1	no	—
1054	C₂²×C₄	—	79	1	no	—
1055	C₂²×C₄	—	79	1	no	—
1056	C₂²×C₄	—	79	1	no	—
1057	C₂²×C₄	—	79	2	no	—
1058	C₂²×C₄	—	79	2	no	—
1059	C₂²×C₄	—	79	1	no	—
1060	C₂²×C₄	—	79	1	no	—
1061	C₂²×C₄	—	79	1	no	—
1062	C₂²×C₄	—	79	8	no	—
1063	C₂²×C₄	—	79	4	no	—
1064	C₂²×C₄	—	79	8	no	—
1065	C₂²×C₄	—	158	8	no	—
1066	C₂²×C₄	—	158	8	no	—
1067	C₂²×C₄	—	158	4	no	—
1068	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1069	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1070	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1071	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1074	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1075	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1077	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1079	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1080	C₄⋊C₄	—	79	4	no	—
1081	C₄⋊C₄	—	79	4	no	—
1082	C₄⋊C₄	—	79	8	no	—
1083	C₄⋊C₄	—	79	8	no	—
1084	C₄⋊C₄	—	79	8	no	—
1085	C₄⋊C₄	—	79	8	no	—
1086	C₄⋊C₄	—	79	4	no	—
1087	C₄⋊C₄	—	79	8	no	—
1088	C₄⋊C₄	—	79	4	no	—
1089	C₄⋊C₄	—	79	8	no	—
1090	C₄⋊C₄	—	79	8	no	—
1091	C₄⋊C₄	—	79	4	no	—
1092	C₄⋊C₄	—	79	8	no	—
1093	C₄⋊C₄	—	79	8	no	—
1094	C₄⋊C₄	—	79	4	no	—
1095	C₄⋊C₄	—	79	4	no	—
1096	C₄⋊C₄	—	79	4	no	—
1097	C₄⋊C₄	—	79	4	no	—
1098	C₄⋊C₄	—	79	8	no	—
1099	C₄⋊C₄	—	79	4	no	—
1100	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1101	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1102	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1103	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1104	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1105	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1106	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1107	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1109	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1110	C₂²⋊C₄	—	79	4	no	—
1111	C₂²⋊C₄	—	79	4	no	—
1112	C₂²⋊C₄	—	79	4	no	—
1113	C₂²⋊C₄	—	79	8	no	—
1114	C₂²⋊C₄	—	79	4	no	—
1115	C₂²⋊C₄	—	79	4	no	—
1116	C₂²⋊C₄	—	79	4	no	—
1117	C₂²⋊C₄	—	79	8	no	—
1118	C₂²⋊C₄	—	79	8	no	—
1119	C₂²⋊C₄	—	79	8	no	—
1120	C₂²⋊C₄	—	79	8	no	—
1121	C₂²⋊C₄	—	79	8	no	—
1122	C₂²⋊C₄	—	79	8	no	—
1123	C₂²⋊C₄	—	79	8	no	—
1124	C₂²⋊C₄	—	79	8	no	—
1125	C₂²⋊C₄	—	79	8	no	—
1126	C₂²⋊C₄	—	79	8	no	—
1127	C₂²⋊C₄	—	79	8	no	—
1128	C₂²⋊C₄	—	79	8	no	—
1129	C₂²⋊C₄	—	79	8	no	—
1130	C₂²⋊C₄	—	79	4	no	—
1131	C₂²⋊C₄	—	79	8	no	—
1132	C₂²⋊C₄	—	79	4	no	—
1133	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1135	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1136	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1137	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1138	C₄²	—	79	4	no	—
1139	C₄²	—	79	4	no	—
1140	C₄²	—	79	4	no	—
1141	C₄²	—	79	8	no	—
1142	C₄²	—	79	8	no	—
1143	C₄²	—	79	8	no	—
1144	C₄²	—	79	8	no	—
1145	C₄²	—	79	4	no	—
1146	C₄²	—	79	4	no	—
1147	C₄²	C₂³×D₇₉	1	8	yes	—
1148	C₄²	C₂³×D₇₉	1	4	yes	—
1149	C₄²	C₂³×D₇₉	1	8	yes	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	316	8	no	—
1157	C₂³	—	316	8	no	—
1158	C₂³	—	79	4	no	—
1159	C₂³	—	79	8	no	—
1160	C₂³	—	79	4	no	—
1161	C₂³	—	79	2	no	—
1162	C₂³	—	632	16	no	—
1163	C₂³	—	158	16	no	—
1164	C₂³	—	158	2	no	—
1165	C₂³	—	158	4	no	—
1166	C₂³	—	158	2	no	—
1167	C₂³	—	158	4	no	—
1168	C₂³	—	158	2	no	—
1169	C₂³	—	158	4	no	—
1170	C₂³	—	158	4	no	—
1171	C₂³	—	158	4	no	—
1172	C₂³	C₂⁴×D₇₉	1	2	yes	—
1173	C₂³	C₂⁴×D₇₉	1	2	yes	—
1174	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1175	Q₈	—	2	8	no	—
1176	Q₈	—	316	4	no	—
1177	Q₈	—	316	8	no	—
1178	Q₈	—	158	8	no	—
1179	D₄	—	4	4	no	—
1180	D₄	—	316	8	no	—
1181	D₄	—	316	4	no	—
1182	D₄	—	316	8	no	—
1183	D₄	—	316	4	no	—
1184	D₄	—	79	16	no	—
1185	D₄	—	158	16	no	—
1186	D₄	—	158	16	no	—
1187	D₄	—	158	16	no	—
1188	D₄	—	158	8	no	—
1189	C₂×C₄	—	2	4	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	8	no	—
1198	C₂×C₄	—	2	8	no	—
1199	C₂×C₄	—	4	8	no	—
1200	C₂×C₄	—	316	8	no	—
1201	C₂×C₄	—	316	8	no	—
1202	C₂×C₄	—	316	8	no	—
1203	C₂×C₄	—	316	4	no	—
1204	C₂×C₄	—	316	4	no	—
1205	C₂×C₄	—	316	8	no	—
1206	C₂×C₄	—	316	8	no	—
1207	C₂×C₄	—	316	8	no	—
1208	C₂×C₄	—	79	2	no	—
1209	C₂×C₄	—	79	2	no	—
1210	C₂×C₄	—	79	2	no	—
1211	C₂×C₄	—	79	2	no	—
1212	C₂×C₄	—	79	4	no	—
1213	C₂×C₄	—	79	4	no	—
1214	C₂×C₄	—	79	2	no	—
1215	C₂×C₄	—	79	2	no	—
1216	C₂×C₄	—	79	2	no	—
1217	C₂×C₄	—	158	16	no	—
1218	C₂×C₄	—	158	16	no	—
1219	C₂×C₄	—	158	2	no	—
1220	C₂×C₄	—	158	2	no	—
1221	C₂×C₄	—	158	2	no	—
1222	C₂×C₄	—	158	2	no	—
1223	C₂×C₄	—	158	2	no	—
1224	C₂×C₄	—	158	4	no	—
1225	C₂×C₄	—	158	2	no	—
1226	C₂×C₄	—	158	2	no	—
1227	C₂×C₄	—	158	4	no	—
1228	C₂×C₄	—	158	8	no	—
1229	C₂×C₄	#41×D₇₉	1	4	yes	—
1230	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1231	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1234	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1235	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1236	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1237	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	4	4	no	—
1246	C₂²	—	4	4	no	—
1247	C₂²	—	316	8	no	—
1248	C₂²	—	316	4	no	—
1249	C₂²	—	79	8	no	—
1250	C₂²	—	632	16	no	—
1251	C₂²	—	158	2	no	—
1252	C₂²	—	158	4	no	—
1253	C₂²	—	158	2	no	—
1254	C₂²	—	158	4	no	—
1255	C₂²	—	158	2	no	—
1256	C₂²	—	158	4	no	—
1257	C₂²	—	158	4	no	—
1258	C₂²	—	158	4	no	—
1259	C₂²	—	158	16	no	—
1260	C₂²	C₂×#41×D₇₉	1	2	yes	—
1261	C₂²	#19099399	1	2	yes	—
1262	C₂²	#19099400	1	2	yes	—
1263	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	4	no	—
1267	C₄	—	2	4	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	4	no	—
1272	C₄	—	158	2	no	—
1273	C₄	—	158	4	no	—
1274	C₄	—	158	2	no	—
1275	C₄	—	158	2	no	—
1276	C₄	—	158	2	no	—
1277	C₄	—	158	2	no	—
1278	C₄	—	158	2	no	—
1279	C₄	—	158	4	no	—
1280	C₄	—	158	2	no	—
1281	C₄	C₂×#41×D₇₉	1	4	yes	—
1282	C₂	—	4	2	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	316	4	no	—
1285	C₂	—	316	2	no	—
1286	C₂	—	158	8	no	—
1287	C₂	#23777475	1	4	yes	direct product factor
1288	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1289	C₂	C₂×#19099399	1	1	yes	characteristic
1290	C₂	C₂×#19099400	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#552×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#552	D₇₉
hypocenter	C₇₉	C₂×#3521
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. #23777475	C₂	direct (N × H)
2. C₂×#19099285	C₂	semidirect
3. C₂×#19099281	C₂	semidirect
4. C₂×#19099269	C₂	semidirect
5. C₂×#19099261	C₂	semidirect
6. C₂×#19099257	C₂	semidirect
7. C₂×#19099251	C₂	semidirect
8. C₂×#19099241	C₂	semidirect
9. C₂×#19099238	C₂	semidirect
10. C₂×#19099215	C₂	semidirect
11. C₂×#19099209	C₂	semidirect
12. C₂×#19099204	C₂	semidirect
13. C₂×#19099186	C₂	semidirect
14. C₂×#19099173	C₂	semidirect
15. C₂×#19099161	C₂	semidirect
16. C₂×#19099149	C₂	semidirect
17. C₂×#19099098	C₂	semidirect
18. C₂×#19099095	C₂	semidirect
19. C₂×#19099091	C₂	semidirect
20. C₂×#126×D₇₉	C₂	semidirect
21. C₂×#19099044	C₂	semidirect
22. C₂×#19099037	C₂	semidirect
23. C₂×C₄×#11929625	C₂	semidirect
24. C₂×#552×C₇₉	C₂	semidirect
28. #19099285	C₂²	semidirect
29. #19099281	C₂²	semidirect
30. #19099269	C₂²	semidirect
31. #19099261	C₂²	semidirect
32. #19099257	C₂²	semidirect
33. #19099251	C₂²	semidirect
34. #19099241	C₂²	semidirect
35. #19099238	C₂²	semidirect
36. #19099215	C₂²	semidirect
37. #19099209	C₂²	semidirect
38. #19099204	C₂²	semidirect
39. #19099186	C₂²	semidirect
40. #19099173	C₂²	semidirect
41. #19099161	C₂²	semidirect
42. #19099149	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
44. C₂×#14579159	C₂²	semidirect
45. #19099098	C₂²	semidirect
46. #19099095	C₂²	semidirect
47. #19099091	C₂²	semidirect
48. C₂×#14579156	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579156	C₂²	semidirect
51. C₂×#14579156	C₂²	semidirect
52. C₂×#14579155	C₂²	semidirect
53. C₂×#14579155	C₂²	semidirect
58. C₂×#14579154	C₂²	semidirect
59. #126×D₇₉	C₂²	semidirect
60. C₂×#14579152	C₂²	semidirect
61. C₂×#14579152	C₂²	semidirect
62. C₂×#14579152	C₂²	semidirect
63. C₂×#14579151	C₂²	semidirect
68. C₂×#14579147	C₂²	semidirect
71. C₂×#14579146	C₂²	semidirect
72. C₂×#14579146	C₂²	semidirect
73. C₂×#14579146	C₂²	semidirect
75. C₂×#14579143	C₂²	semidirect
76. C₂×#14579143	C₂²	semidirect
77. C₂×#14579143	C₂²	semidirect
78. C₂×#14579141	C₂²	semidirect
79. C₂×#14579141	C₂²	semidirect
80. C₂×#14579141	C₂²	semidirect
81. C₂×#14579141	C₂²	semidirect
83. C₂×#14579139	C₂²	semidirect
84. C₂×#14579139	C₂²	semidirect
85. C₂×#14579139	C₂²	semidirect
89. C₂×#14579135	C₂²	semidirect
91. C₂×#14579134	C₂²	semidirect
95. #19099044	C₂²	semidirect
96. #19099037	C₂²	semidirect
97. C₄×#11929625	C₂²	semidirect
98. C₂×Q₈×Dic₇₉	C₂²	semidirect
99. C₂×C₄×Dic₁₅₈	C₂²	semidirect
100. C₂×C₄×Dic₁₅₈	C₂²	semidirect
101. C₂×#14579126	C₂²	semidirect
102. C₂×#14579126	C₂²	semidirect
106. C₂×C₄×D₃₁₆	C₂²	semidirect
112. C₂×#14579123	C₂²	semidirect
113. C₂×#14579123	C₂²	semidirect
115. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
116. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
117. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
118. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
120. C₂×#14579120	C₂²	semidirect
121. C₂×#14579119	C₂²	semidirect
122. C₂×#14579119	C₂²	semidirect
123. C₂×#14579119	C₂²	semidirect
124. C₂×#14579119	C₂²	semidirect
125. C₂×#14579118	C₂²	semidirect
126. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
133. C₂×C₄²×D₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
135. #552×C₇₉	C₂²	semidirect
137. C₂×#125×C₇₉	C₂²	semidirect
138. C₂×#125×C₇₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
177. #14579160	C₂³	semidirect
178. #14579159	C₂³	semidirect
179. #14579156	C₂³	semidirect
180. #14579156	C₂³	semidirect
181. #14579156	C₂³	semidirect
182. #14579156	C₂³	semidirect
183. #14579155	C₂³	semidirect
184. #14579155	C₂³	semidirect
189. #14579154	C₂³	semidirect
190. #14579152	C₂³	semidirect
191. #14579152	C₂³	semidirect
192. #14579152	C₂³	semidirect
193. #14579151	C₂³	semidirect
198. #14579147	C₂³	semidirect
201. #14579146	C₂³	semidirect
202. #14579146	C₂³	semidirect
203. #14579146	C₂³	semidirect
205. #14579143	C₂³	semidirect
206. #14579143	C₂³	semidirect
207. #14579143	C₂³	semidirect
208. #14579141	C₂³	semidirect
209. #14579141	C₂³	semidirect
210. #14579141	C₂³	semidirect
211. #14579141	C₂³	semidirect
213. #14579139	C₂³	semidirect
214. #14579139	C₂³	semidirect
215. #14579139	C₂³	semidirect
219. #14579135	C₂³	semidirect
221. #14579134	C₂³	semidirect
225. Q₈×Dic₇₉	C₂³	semidirect
226. C₄×Dic₁₅₈	C₂³	semidirect
227. C₄×Dic₁₅₈	C₂³	semidirect
228. #14579126	C₂³	semidirect
229. #14579126	C₂³	semidirect
233. C₄×D₃₁₆	C₂³	semidirect
239. #14579123	C₂³	semidirect
240. #14579123	C₂³	semidirect
242. C₄×C₂²⋊D₇₉	C₂³	semidirect
243. C₄×C₂²⋊D₇₉	C₂³	semidirect
244. C₄×C₂²⋊D₇₉	C₂³	semidirect
245. C₄×C₂²⋊D₇₉	C₂³	semidirect
247. #14579120	C₂³	semidirect
248. #14579119	C₂³	semidirect
249. #14579119	C₂³	semidirect
250. #14579119	C₂³	semidirect
251. #14579119	C₂³	semidirect
252. #14579118	C₂³	semidirect
273. C₄⋊C₄×D₇₉	C₂³	semidirect
274. C₄⋊C₄×D₇₉	C₂³	semidirect
275. C₄⋊C₄×D₇₉	C₂³	semidirect
312. C₄²×D₇₉	C₂³	semidirect
313. C₄²×D₇₉	C₂³	semidirect
320. #125×C₇₉	C₂³	semidirect
321. #125×C₇₉	C₂³	semidirect
324. C₂²⋊Q₈×C₇₉	C₂³	semidirect
325. C₄×Q₈×C₇₉	C₂³	semidirect
328. #117×C₇₉	C₂³	semidirect
339. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
639. C₂×C₇₉	#3521	semidirect
653. C₂×#552	D₇₉	semidirect
670. C₇₉	C₂×#3521	semidirect
680. #552	C₂×D₇₉	semidirect
712. C₂×#125	C₂×D₇₉	semidirect
713. C₂×#125	C₂×D₇₉	semidirect
738. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
756. C₂×C₄×Q₈	C₂×D₇₉	semidirect
782. C₂×#117	C₂×D₇₉	semidirect
786. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
846. #125	C₂²×D₇₉	semidirect
847. #125	C₂²×D₇₉	semidirect
872. C₂²⋊Q₈	C₂²×D₇₉	semidirect
887. C₄×Q₈	C₂²×D₇₉	semidirect
913. #117	C₂²×D₇₉	semidirect
947. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1287. C₂	#23777475	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777475	2
C₂×#19099285	2
C₂×#19099281	2
C₂×#19099269	2
C₂×#19099261	2
C₂×#19099257	2
C₂×#19099251	2
C₂×#19099241	2
C₂×#19099238	2
C₂×#19099215	2
C₂×#19099209	2
C₂×#19099204	2
C₂×#19099186	2
C₂×#19099173	2
C₂×#19099161	2
C₂×#19099149	2
C₂×#19099098	2
C₂×#19099095	2
C₂×#19099091	2
C₂×#126×D₇₉	2
C₂×#19099044	2
C₂×#19099037	2
C₂×C₄×#11929625	2
C₂×#552×C₇₉	2
C₂×#3521	79

Subgroups — C2×#23777475 #35196406

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777475 #35196406