Subgroups — C₂×#23776953 #35195303

Order 20224.

7954 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23776953	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099284	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099276	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099271	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099266	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099259	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099254	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099245	C₂	1	2	yes	maximal, complemented
9	C₂×#19099238	C₂	1	2	yes	maximal, complemented
10	C₂×#19099237	C₂	1	2	yes	maximal, complemented
11	C₂×#19099214	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099205	C₂	1	2	yes	maximal, complemented
13	C₂×#19099119	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099098	C₂	1	2	yes	maximal, complemented
15	C₂×#19099096	C₂	1	2	yes	maximal, complemented
16	C₂×#19099090	C₂	1	2	yes	maximal, complemented
17	C₂×#19099076	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄×#11929625	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#19099031	C₂	1	2	yes	maximal, complemented
21	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#14579119	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#552×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929625	C₂²	1	1	yes	characteristic
26	C₂²×#11929624	C₂²	1	2	yes	—
27	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
28	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
29	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
30	#19099284	C₂²	1	16	yes	complemented
31	#19099276	C₂²	1	16	yes	complemented
32	#19099271	C₂²	1	16	yes	complemented
33	#19099266	C₂²	1	16	yes	complemented
34	#19099259	C₂²	1	16	yes	complemented
35	#19099254	C₂²	1	16	yes	complemented
36	#19099245	C₂²	1	32	yes	complemented
37	#19099238	C₂²	1	32	yes	complemented
38	#19099237	C₂²	1	32	yes	complemented
39	#19099214	C₂²	1	16	yes	complemented
40	#19099205	C₂²	1	32	yes	complemented
41	#19099119	C₂²	1	16	yes	complemented
42	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
43	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
44	#19099098	C₂²	1	32	yes	complemented
45	#19099096	C₂²	1	32	yes	complemented
46	#19099090	C₂²	1	32	yes	complemented
47	C₂×#14579156	C₂²	1	2	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579155	C₂²	1	2	yes	complemented
51	C₂×#14579154	C₂²	1	2	yes	complemented
52	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579151	C₂²	1	2	yes	complemented
54	C₂×#14579151	C₂²	1	2	yes	complemented
55	C₂×#14579149	C₂²	1	2	yes	complemented
56	C₂×#14579147	C₂²	1	2	yes	—
57	C₂×#14579147	C₂²	1	2	yes	complemented
58	#19099076	C₂²	1	16	yes	complemented
59	#19099076	C₂²	1	16	yes	complemented
60	C₂×#14579146	C₂²	1	2	yes	—
61	C₂×#14579146	C₂²	1	2	yes	—
62	C₂×#14579146	C₂²	1	2	yes	—
63	C₂×#14579146	C₂²	1	2	yes	complemented
64	C₂×#14579146	C₂²	1	2	yes	complemented
65	C₂×#14579144	C₂²	1	2	yes	complemented
66	C₂×#14579143	C₂²	1	2	yes	complemented
67	C₂×#14579141	C₂²	1	2	yes	complemented
68	C₂×#14579139	C₂²	1	2	yes	—
69	C₂×#14579139	C₂²	1	2	yes	—
70	C₂×#14579139	C₂²	1	2	yes	complemented
71	C₂×#14579138	C₂²	1	2	yes	complemented
72	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579136	C₂²	1	2	yes	—
75	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14579134	C₂²	1	2	yes	—
80	C₂×#14579133	C₂²	1	2	yes	—
81	C₂×#14579131	C₂²	1	2	yes	—
82	C₂×#14579131	C₂²	1	2	yes	—
83	C₄×#11929625	C₂²	1	16	yes	complemented
84	#19099031	C₂²	1	32	yes	complemented
85	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14579126	C₂²	1	2	yes	complemented
87	C₂×#14579126	C₂²	1	2	yes	complemented
88	C₂×#14579126	C₂²	1	2	yes	complemented
89	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
90	C₂×C₄×D₃₁₆	C₂²	1	2	yes	—
91	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
93	C₂×#14579123	C₂²	1	1	yes	characteristic
94	C₂×#14579123	C₂²	1	2	yes	—
95	C₂×#14579123	C₂²	1	2	yes	complemented
96	C₂×#14579123	C₂²	1	2	yes	complemented
97	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14579123	C₂²	1	2	yes	complemented
99	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
100	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
101	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
102	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
103	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
104	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
105	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
106	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
107	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
108	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14579119	C₂²	1	1	yes	characteristic
110	C₂×#14579119	C₂²	1	1	yes	characteristic
111	C₂×#14579119	C₂²	1	2	yes	—
112	C₂×#14579119	C₂²	1	1	yes	characteristic
113	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14579119	C₂²	1	2	yes	complemented
115	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14579119	C₂²	1	2	yes	complemented
117	C₂×#14579119	C₂²	1	16	yes	complemented
118	C₂×#14579118	C₂²	1	2	yes	—
119	C₂×#14579118	C₂²	1	2	yes	complemented
120	C₂×#14579118	C₂²	1	2	yes	complemented
121	C₂×#14579117	C₂²	1	2	yes	complemented
122	#117×D₇₉	C₂²	1	16	yes	complemented
123	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
125	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
128	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
131	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	complemented
132	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
133	C₂×C₄²×D₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₉	C₂²	1	2	yes	complemented
135	#552×C₇₉	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
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, complemented
141	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
144	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
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	1	yes	characteristic
148	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
149	C₂×#11929625	—	2	8	no	—
150	C₂×#11929625	C₂³	1	8	yes	—
151	C₂×#11929624	—	2	16	no	—
152	C₂×#11929624	C₂³	1	16	yes	—
153	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
154	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
155	C₂²×D₃₁₆	C₂³	1	2	yes	—
156	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
157	C₂²×D₃₁₆	C₂³	1	2	yes	—
158	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
159	C₂²×D₃₁₆	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
164	C₂×D₄×D₇₉	—	2	8	no	—
165	C₂×D₄×D₇₉	C₂³	1	8	yes	—
166	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
167	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
168	C₂³×Dic₇₉	C₂³	1	2	yes	—
169	C₂²×C₄×D₇₉	—	2	8	no	—
170	C₂²×C₄×D₇₉	—	2	8	no	—
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	1	yes	characteristic
177	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
180	C₂²×C₄×D₇₉	C₂³	1	8	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	1	yes	characteristic
187	#14579160	C₂³	1	8	yes	complemented
188	#14579160	C₂³	1	8	yes	complemented
189	#14579156	C₂³	1	16	yes	complemented
190	#14579156	C₂³	1	16	yes	complemented
191	#14579156	C₂³	1	16	yes	complemented
192	#14579155	C₂³	1	16	yes	complemented
193	#14579154	C₂³	1	16	yes	complemented
194	#14579153	C₂³	1	8	yes	complemented
195	#14579151	C₂³	1	16	yes	complemented
196	#14579151	C₂³	1	16	yes	complemented
197	#14579149	C₂³	1	16	yes	complemented
198	#14579147	C₂³	1	16	yes	—
199	#14579147	C₂³	1	16	yes	complemented
200	#14579146	C₂³	1	16	yes	—
201	#14579146	C₂³	1	16	yes	—
202	#14579146	C₂³	1	16	yes	—
203	#14579146	C₂³	1	16	yes	complemented
204	#14579146	C₂³	1	16	yes	complemented
205	#14579144	C₂³	1	16	yes	complemented
206	#14579143	C₂³	1	16	yes	complemented
207	#14579141	C₂³	1	16	yes	complemented
208	#14579139	C₂³	1	16	yes	—
209	#14579139	C₂³	1	16	yes	—
210	#14579139	C₂³	1	16	yes	complemented
211	#14579138	C₂³	1	16	yes	complemented
212	#14579137	C₂³	1	8	yes	complemented
213	#14579137	C₂³	1	8	yes	complemented
214	#14579136	C₂³	1	16	yes	—
215	#14579136	C₂³	1	8	yes	complemented
216	#14579136	C₂³	1	8	yes	complemented
217	#14579135	C₂³	1	8	yes	complemented
218	#14579135	C₂³	1	8	yes	complemented
219	#14579134	C₂³	1	16	yes	—
220	#14579133	C₂³	1	16	yes	—
221	#14579131	C₂³	1	16	yes	—
222	#14579131	C₂³	1	16	yes	—
223	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
224	#14579126	C₂³	1	16	yes	complemented
225	#14579126	C₂³	1	16	yes	complemented
226	#14579126	C₂³	1	16	yes	complemented
227	C₄×D₃₁₆	C₂³	1	16	yes	—
228	C₄×D₃₁₆	C₂³	1	8	yes	—
229	C₄×D₃₁₆	C₂³	1	8	yes	complemented
230	D₄×Dic₇₉	C₂³	1	8	yes	—
231	#14579123	C₂³	1	16	yes	—
232	#14579123	C₂³	1	8	yes	—
233	#14579123	C₂³	1	8	yes	complemented
234	#14579123	C₂³	1	16	yes	complemented
235	#14579123	C₂³	1	16	yes	complemented
236	#14579123	C₂³	1	16	yes	complemented
237	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
238	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
239	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
240	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
241	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
242	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
243	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
244	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
245	#14579120	C₂³	1	8	yes	complemented
246	#14579119	C₂³	1	16	yes	—
247	#14579119	C₂³	1	8	yes	—
248	#14579119	C₂³	1	8	yes	—
249	#14579119	C₂³	1	8	yes	—
250	#14579119	C₂³	1	8	yes	complemented
251	#14579119	C₂³	1	8	yes	complemented
252	#14579119	C₂³	1	16	yes	complemented
253	#14579119	C₂³	1	16	yes	complemented
254	#14579118	C₂³	1	16	yes	—
255	#14579118	C₂³	1	16	yes	complemented
256	#14579118	C₂³	1	16	yes	complemented
257	#14579117	C₂³	1	16	yes	complemented
258	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₇₉	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
265	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
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	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
276	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
277	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
278	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
282	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
283	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
300	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
301	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
302	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
311	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
312	C₂×C₄×Dic₇₉	C₂³	1	16	yes	complemented
313	C₄²×D₇₉	C₂³	1	8	yes	—
314	C₄²×D₇₉	C₂³	1	16	yes	complemented
315	C₄²×D₇₉	C₂³	1	16	yes	complemented
316	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
319	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
321	#126×C₇₉	C₂³	1	16	yes	complemented
322	#125×C₇₉	C₂³	1	16	yes	complemented
323	#125×C₇₉	C₂³	1	8	yes	complemented
324	#123×C₇₉	C₂³	1	16	yes	—
325	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
326	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
327	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
328	C₄×D₄×C₇₉	C₂³	1	8	yes	—
329	#117×C₇₉	C₂³	1	16	yes	complemented
330	#117×C₇₉	C₂³	1	8	yes	complemented
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
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	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂³×D₇₉	—	2	4	no	—
351	C₂³×D₇₉	—	2	4	no	—
352	C₂³×D₇₉	—	2	4	no	—
353	C₂³×D₇₉	—	2	4	no	—
354	C₂³×D₇₉	—	4	2	no	—
355	C₂³×D₇₉	—	4	2	no	—
356	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
357	C₂³×D₇₉	C₂⁴	1	2	yes	—
358	C₂³×D₇₉	C₂⁴	1	4	yes	—
359	C₂³×D₇₉	C₂⁴	1	4	yes	—
360	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
361	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
362	#11929625	—	2	32	no	—
363	#11929624	—	2	64	no	—
364	C₂×Dic₁₅₈	—	2	8	no	—
365	C₂×Dic₁₅₈	—	4	4	no	—
366	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
367	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
368	C₂×D₃₁₆	—	2	8	no	—
369	C₂×D₃₁₆	—	2	8	no	—
370	C₂×D₃₁₆	—	2	4	no	—
371	C₂×D₃₁₆	—	2	4	no	—
372	C₂×D₃₁₆	—	4	4	no	—
373	C₂×D₃₁₆	C₂⁴	1	8	yes	—
374	C₂×D₃₁₆	C₂⁴	1	8	yes	—
375	C₂×D₃₁₆	C₂⁴	1	4	yes	—
376	C₂×D₃₁₆	C₂⁴	1	4	yes	—
377	C₂×D₃₁₆	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₇₉	—	2	4	no	—
379	C₂×C₂²⋊D₇₉	—	2	8	no	—
380	C₂×C₂²⋊D₇₉	—	4	4	no	—
381	C₂×C₂²⋊D₇₉	#41	1	8	yes	complemented
382	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
384	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
386	D₄×D₇₉	—	2	32	no	—
387	C₂²×Dic₇₉	—	2	4	no	—
388	C₂²×Dic₇₉	—	2	4	no	—
389	C₂²×Dic₇₉	—	4	4	no	—
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
392	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
393	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
395	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
396	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
398	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
399	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×D₇₉	—	2	8	no	—
402	C₂×C₄×D₇₉	—	2	8	no	—
403	C₂×C₄×D₇₉	—	2	4	no	—
404	C₂×C₄×D₇₉	—	2	4	no	—
405	C₂×C₄×D₇₉	—	2	4	no	—
406	C₂×C₄×D₇₉	—	2	32	no	—
407	C₂×C₄×D₇₉	—	2	32	no	—
408	C₂×C₄×D₇₉	—	2	8	no	—
409	C₂×C₄×D₇₉	—	2	4	no	—
410	C₂×C₄×D₇₉	—	2	4	no	—
411	C₂×C₄×D₇₉	—	2	4	no	—
412	C₂×C₄×D₇₉	—	2	4	no	—
413	C₂×C₄×D₇₉	—	4	2	no	—
414	C₂×C₄×D₇₉	—	4	4	no	—
415	C₂×C₄×D₇₉	—	4	4	no	—
416	C₂×C₄×D₇₉	#41	1	8	yes	complemented
417	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
418	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
419	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
420	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
421	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
422	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
423	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
424	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
425	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
426	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
427	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
428	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
429	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
430	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
432	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
433	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
434	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
435	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
436	C₄⋊Dic₇₉	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	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	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
449	C₂²⋊Dic₇₉	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	4	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	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	8	yes	—
461	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
467	C₄×Dic₇₉	C₂⁴	1	4	yes	—
468	C₄×Dic₇₉	C₂⁴	1	4	yes	—
469	C₄×Dic₇₉	C₂⁴	1	4	yes	—
470	C₄×Dic₇₉	C₂⁴	1	8	yes	—
471	C₄×Dic₇₉	C₂⁴	1	8	yes	—
472	C₄×Dic₇₉	C₂⁴	1	8	yes	—
473	C₄×Dic₇₉	C₂⁴	1	8	yes	—
474	C₄×Dic₇₉	C₂⁴	1	8	yes	—
475	C₄×Dic₇₉	C₂⁴	1	8	yes	—
476	C₄×Dic₇₉	C₂⁴	1	8	yes	—
477	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
478	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
479	C₂×Q₈×C₇₉	—	2	4	no	—
480	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
481	C₂×D₄×C₇₉	—	2	4	no	—
482	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₇₉	—	2	8	no	—
484	C₂²×C₄×C₇₉	—	2	4	no	—
485	C₂²×C₄×C₇₉	—	2	4	no	—
486	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
487	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₇₉	C₂⁴	1	8	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	2	yes	—
492	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
496	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
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	4	yes	—
502	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
503	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
504	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
505	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
506	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
507	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
512	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
513	C₄²×C₇₉	C₂⁴	1	8	yes	—
514	C₄²×C₇₉	C₂⁴	1	8	yes	—
515	C₄²×C₇₉	C₂⁴	1	4	yes	—
516	C₂³×C₇₉	—	2	2	no	—
517	C₂³×C₇₉	—	2	2	no	—
518	C₂³×C₇₉	—	2	2	no	—
519	C₂³×C₇₉	—	2	2	no	—
520	C₂³×C₇₉	—	2	2	no	—
521	C₂³×C₇₉	C₂×#41	1	4	yes	—
522	C₂³×C₇₉	C₂⁵	1	2	yes	—
523	C₂³×C₇₉	C₂⁵	1	2	yes	—
524	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
525	C₂²×D₇₉	—	2	2	no	—
526	C₂²×D₇₉	—	2	2	no	—
527	C₂²×D₇₉	—	2	2	no	—
528	C₂²×D₇₉	—	2	2	no	—
529	C₂²×D₇₉	—	2	2	no	—
530	C₂²×D₇₉	—	2	4	no	—
531	C₂²×D₇₉	—	2	4	no	—
532	C₂²×D₇₉	—	2	8	no	—
533	C₂²×D₇₉	—	2	2	no	—
534	C₂²×D₇₉	—	2	4	no	—
535	C₂²×D₇₉	—	2	2	no	—
536	C₂²×D₇₉	—	2	8	no	—
537	C₂²×D₇₉	—	2	8	no	—
538	C₂²×D₇₉	—	2	8	no	—
539	C₂²×D₇₉	—	4	4	no	—
540	C₂²×D₇₉	—	4	4	no	—
541	C₂²×D₇₉	—	4	16	no	—
542	C₂²×D₇₉	—	4	16	no	—
543	C₂²×D₇₉	C₂×#41	1	4	yes	—
544	C₂²×D₇₉	C₂×#41	1	4	yes	—
545	C₂²×D₇₉	C₂⁵	1	2	yes	—
546	C₂²×D₇₉	C₂⁵	1	4	yes	—
547	C₂²×D₇₉	C₂⁵	1	2	yes	—
548	C₂²×D₇₉	C₂⁵	1	2	yes	—
549	Q₈×C₇₉	—	2	8	no	—
550	D₄×C₇₉	—	2	8	no	—
551	C₂×C₄×C₇₉	—	2	4	no	—
552	C₂×C₄×C₇₉	—	2	2	no	—
553	C₂×C₄×C₇₉	—	2	2	no	—
554	C₂×C₄×C₇₉	—	2	2	no	—
555	C₂×C₄×C₇₉	—	2	4	no	—
556	C₂×C₄×C₇₉	—	2	4	no	—
557	C₂×C₄×C₇₉	—	2	16	no	—
558	C₂×C₄×C₇₉	—	2	2	no	—
559	C₂×C₄×C₇₉	—	2	4	no	—
560	C₂×C₄×C₇₉	—	2	8	no	—
561	C₂×C₄×C₇₉	—	2	8	no	—
562	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
563	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
564	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
565	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
566	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
567	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
568	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
569	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
570	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
571	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
572	C₂²⋊D₇₉	—	2	16	no	—
573	C₂²⋊D₇₉	—	2	8	no	—
574	C₂²⋊D₇₉	—	4	8	no	—
575	C₂²⋊D₇₉	C₂×#41	1	16	yes	complemented
576	C₂×Dic₇₉	—	2	2	no	—
577	C₂×Dic₇₉	—	2	2	no	—
578	C₂×Dic₇₉	—	2	4	no	—
579	C₂×Dic₇₉	—	2	4	no	—
580	C₂×Dic₇₉	—	2	2	no	—
581	C₂×Dic₇₉	—	2	4	no	—
582	C₂×Dic₇₉	—	2	8	no	—
583	C₂×Dic₇₉	—	2	8	no	—
584	C₂×Dic₇₉	—	4	8	no	—
585	C₂×Dic₇₉	C₂×#41	1	4	yes	—
586	C₂×Dic₇₉	C₂×#41	1	4	yes	—
587	C₂×Dic₇₉	C₂⁵	1	2	yes	—
588	C₂×Dic₇₉	C₂⁵	1	4	yes	—
589	C₂×Dic₇₉	C₂⁵	1	2	yes	—
590	C₂×Dic₇₉	C₂⁵	1	4	yes	—
591	C₂×Dic₇₉	C₂⁵	1	4	yes	—
592	C₂×Dic₇₉	C₂⁵	1	2	yes	—
593	C₂×Dic₇₉	C₂⁵	1	2	yes	—
594	C₂×Dic₇₉	C₂⁵	1	2	yes	—
595	D₃₁₆	—	2	8	no	—
596	D₃₁₆	—	2	16	no	—
597	D₃₁₆	—	2	16	no	—
598	D₃₁₆	—	2	8	no	—
599	D₃₁₆	—	4	8	no	—
600	C₄×D₇₉	—	2	8	no	—
601	C₄×D₇₉	—	2	8	no	—
602	C₄×D₇₉	—	2	16	no	—
603	C₄×D₇₉	—	2	8	no	—
604	C₄×D₇₉	—	2	8	no	—
605	C₄×D₇₉	—	2	8	no	—
606	C₄×D₇₉	—	2	8	no	—
607	C₄×D₇₉	—	2	8	no	—
608	C₄×D₇₉	—	2	16	no	—
609	C₄×D₇₉	—	2	16	no	—
610	C₄×D₇₉	—	4	4	no	—
611	C₄×D₇₉	—	4	8	no	—
612	C₄×D₇₉	—	4	8	no	—
613	C₄×D₇₉	C₂×#41	1	16	yes	complemented
614	Dic₁₅₈	—	2	16	no	—
615	Dic₁₅₈	—	4	8	no	—
616	C₂²×C₇₉	—	2	2	no	—
617	C₂²×C₇₉	—	2	2	no	—
618	C₂²×C₇₉	—	2	8	no	—
619	C₂²×C₇₉	—	2	2	no	—
620	C₂²×C₇₉	—	2	2	no	—
621	C₂²×C₇₉	—	2	2	no	—
622	C₂²×C₇₉	—	4	4	no	—
623	C₂²×C₇₉	C₂²×#41	1	4	yes	—
624	C₂²×C₇₉	C₂²×#41	1	2	yes	—
625	C₂²×C₇₉	C₂²×#41	1	2	yes	—
626	C₂²×C₇₉	#585	1	2	yes	—
627	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
628	C₂×D₇₉	—	2	2	no	—
629	C₂×D₇₉	—	2	2	no	—
630	C₂×D₇₉	—	2	2	no	—
631	C₂×D₇₉	—	2	2	no	—
632	C₂×D₇₉	—	2	8	no	—
633	C₂×D₇₉	—	2	8	no	—
634	C₂×D₇₉	—	2	2	no	—
635	C₂×D₇₉	—	2	4	no	—
636	C₂×D₇₉	—	2	2	no	—
637	C₂×D₇₉	—	2	4	no	—
638	C₂×D₇₉	—	2	4	no	—
639	C₂×D₇₉	—	2	2	no	—
640	C₂×D₇₉	—	4	16	no	—
641	C₂×D₇₉	—	4	16	no	—
642	C₂×D₇₉	—	4	8	no	—
643	C₂×D₇₉	—	4	4	no	—
644	C₂×D₇₉	C₂²×#41	1	4	yes	—
645	C₂×D₇₉	C₂²×#41	1	4	yes	—
646	C₄×C₇₉	—	2	4	no	—
647	C₄×C₇₉	—	2	4	no	—
648	C₄×C₇₉	—	2	2	no	—
649	C₄×C₇₉	—	2	2	no	—
650	C₄×C₇₉	—	2	2	no	—
651	C₄×C₇₉	—	2	4	no	—
652	C₄×C₇₉	—	2	4	no	—
653	C₄×C₇₉	—	2	2	no	—
654	C₄×C₇₉	C₂²×#41	1	4	yes	—
655	Dic₇₉	—	2	4	no	—
656	Dic₇₉	—	2	2	no	—
657	Dic₇₉	—	2	2	no	—
658	Dic₇₉	—	2	4	no	—
659	Dic₇₉	—	2	2	no	—
660	Dic₇₉	—	2	4	no	—
661	Dic₇₉	C₂²×#41	1	4	yes	—
662	Dic₇₉	C₂²×#41	1	4	yes	—
663	C₂×#3475	—	79	1	no	maximal, Sylow
664	C₂×C₇₉	—	2	4	no	—
665	C₂×C₇₉	—	4	2	no	—
666	C₂×C₇₉	#3475	1	4	yes	complemented
667	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
668	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
669	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
670	D₇₉	—	2	4	no	—
671	D₇₉	—	2	4	no	—
672	D₇₉	—	4	4	no	—
673	D₇₉	—	4	2	no	—
674	#3475	—	79	32	no	—
675	C₂×#556	—	79	1	no	—
676	C₂×#555	—	79	1	no	—
677	C₂×#554	—	79	1	no	—
678	C₂×#553	—	79	1	no	—
679	C₂×#553	—	79	1	no	—
680	C₂×#552	—	79	2	no	—
681	C₂×#552	—	79	1	no	—
682	C₂×#552	D₇₉	1	1	yes	characteristic, complemented
683	C₂×#551	—	79	2	no	—
684	C₂×#551	—	79	2	no	—
685	C₂×#547	—	79	1	no	—
686	C₂×#546	—	79	2	no	—
687	C₂×#533	—	79	1	no	—
688	C₂×#529	—	79	2	no	—
689	C₂×#529	—	79	2	no	—
690	C₂×#529	—	79	2	no	—
691	C₂×#525	—	79	1	no	—
692	C₂×#525	—	79	1	no	—
693	C₂×C₄×#41	—	79	1	no	—
694	C₂×C₄×#41	—	79	2	no	—
695	C₂²×C₄×D₄	—	79	1	no	—
696	C₂²×#117	—	79	1	no	—
697	C₂²×#117	—	79	1	no	—
698	C₇₉	C₂×#3475	1	1	yes	characteristic, complemented, Sylow
699	C₂²×#41	—	79	1	no	—
700	C₂²×#41	—	79	2	no	—
701	C₂³×D₄	—	79	1	no	—
702	C₂⁴×C₄	—	79	1	no	—
703	C₂⁴×C₄	—	79	1	no	—
704	#556	—	79	16	no	—
705	#555	—	79	16	no	—
706	#554	—	79	16	no	—
707	#553	—	79	16	no	—
708	#553	—	79	16	no	—
709	#552	—	79	32	no	—
710	#552	—	79	16	no	—
711	#552	C₂×D₇₉	1	16	yes	complemented
712	#551	—	79	32	no	—
713	#551	—	79	32	no	—
714	#547	—	79	16	no	—
715	#546	—	79	32	no	—
716	#533	—	79	16	no	—
717	C₂×C₄⋊Q₈	—	79	1	no	—
718	C₂×C₄⋊Q₈	—	79	1	no	—
719	#529	—	79	32	no	—
720	#529	—	79	32	no	—
721	#529	—	79	32	no	—
722	C₂×#126	—	79	2	no	—
723	C₂×#126	—	79	2	no	—
724	C₂×#126	—	79	2	no	—
725	C₂×#126	—	79	2	no	—
726	C₂×#126	—	79	2	no	—
727	C₂×#126	C₂×D₇₉	1	2	yes	complemented
728	C₂×#125	—	79	2	no	—
729	C₂×#125	—	79	2	no	—
730	C₂×#125	—	79	1	no	—
731	C₂×#125	C₂×D₇₉	1	2	yes	complemented
732	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
733	C₂×#124	—	79	2	no	—
734	C₂×#124	—	79	2	no	—
735	C₂×#124	—	79	2	no	—
736	#525	—	79	16	no	—
737	#525	—	79	16	no	—
738	C₂×#123	—	79	2	no	—
739	C₂×#123	—	79	2	no	—
740	C₂×#123	—	79	2	no	—
741	C₂×#123	—	79	2	no	—
742	C₂×#123	—	79	2	no	—
743	C₂×#123	—	79	2	no	—
744	C₂×#123	—	79	2	no	—
745	C₂×#123	C₂×D₇₉	1	2	yes	—
746	C₂×C₂²⋊Q₈	—	79	1	no	—
747	C₂×C₂²⋊Q₈	—	79	1	no	—
748	C₂×C₂²⋊Q₈	—	79	2	no	—
749	C₂×C₂²⋊Q₈	—	79	2	no	—
750	C₂×C₂²⋊Q₈	—	79	2	no	—
751	C₂×C₂²⋊Q₈	—	79	2	no	—
752	C₂×C₂²⋊Q₈	—	79	2	no	—
753	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
754	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
755	C₂×#121	—	79	2	no	—
756	C₂×#121	—	79	1	no	—
757	C₂×#121	—	79	1	no	—
758	C₂×#121	—	79	1	no	—
759	C₂×#121	—	79	1	no	—
760	C₂×#121	—	79	2	no	—
761	C₂×#121	—	79	2	no	—
762	C₂×#120	—	79	2	no	—
763	C₂×#120	—	79	2	no	—
764	C₄×#41	—	79	16	no	—
765	C₄×#41	—	79	32	no	—
766	C₂×C₄×Q₈	—	79	1	no	—
767	C₂×C₄×Q₈	—	79	2	no	—
768	C₂×C₄×Q₈	—	79	2	no	—
769	C₂×C₄×Q₈	—	79	2	no	—
770	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
771	C₂×C₄×D₄	—	79	1	no	—
772	C₂×C₄×D₄	—	79	1	no	—
773	C₂×C₄×D₄	—	79	1	no	—
774	C₂×C₄×D₄	—	79	16	no	—
775	C₂×C₄×D₄	—	79	1	no	—
776	C₂×C₄×D₄	—	79	2	no	—
777	C₂×C₄×D₄	—	79	2	no	—
778	C₂×C₄×D₄	—	79	1	no	—
779	C₂×C₄×D₄	—	79	2	no	—
780	C₂×C₄×D₄	—	79	2	no	—
781	C₂×C₄×D₄	—	79	1	no	—
782	C₂×C₄×D₄	—	79	1	no	—
783	C₂×C₄×D₄	—	79	2	no	—
784	C₂×C₄×D₄	—	79	2	no	—
785	C₂×C₄×D₄	—	79	2	no	—
786	C₂×C₄×D₄	—	79	2	no	—
787	C₂×C₄×D₄	—	79	1	no	—
788	C₂×C₄×D₄	—	79	2	no	—
789	C₂×C₄×D₄	—	79	1	no	—
790	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
791	C₂×#117	—	79	1	no	—
792	C₂×#117	—	79	16	no	—
793	C₂×#117	—	79	1	no	—
794	C₂×#117	—	79	1	no	—
795	C₂×#117	—	79	1	no	—
796	C₂×#117	—	79	2	no	—
797	C₂×#117	—	79	2	no	—
798	C₂×#117	—	79	1	no	—
799	C₂×#117	—	79	1	no	—
800	C₂×#117	—	79	2	no	—
801	C₂×#117	—	79	16	no	—
802	C₂×#117	—	79	2	no	—
803	C₂×#117	—	79	2	no	—
804	C₂×#117	—	79	2	no	—
805	C₂×#117	—	79	2	no	—
806	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
807	C₂×#117	C₂×D₇₉	1	2	yes	complemented
808	C₂²×C₄⋊C₄	—	79	1	no	—
809	C₂²×C₄⋊C₄	—	79	1	no	—
810	C₂²×C₄⋊C₄	—	79	1	no	—
811	C₂²×C₄⋊C₄	—	79	1	no	—
812	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
813	C₂²×C₂²⋊C₄	—	79	2	no	—
814	C₂²×C₂²⋊C₄	—	79	2	no	—
815	C₂²×C₂²⋊C₄	—	79	1	no	—
816	C₂²×C₂²⋊C₄	—	79	1	no	—
817	C₂²×C₄²	—	79	2	no	—
818	C₂²×C₄²	—	79	2	no	—
819	C₂²×C₄²	—	79	1	no	—
820	C₂²×C₄²	—	79	2	no	—
821	C₂⁵	—	79	1	no	—
822	C₂⁵	—	79	1	no	—
823	C₂×#41	—	79	8	no	—
824	C₂×#41	—	79	16	no	—
825	C₂×#41	—	158	16	no	—
826	C₂×#41	—	158	8	no	—
827	C₂²×Q₈	—	79	2	no	—
828	C₂²×Q₈	—	79	2	no	—
829	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
830	C₂²×D₄	—	79	2	no	—
831	C₂²×D₄	—	79	1	no	—
832	C₂²×D₄	—	79	2	no	—
833	C₂²×D₄	—	79	1	no	—
834	C₂²×D₄	—	79	8	no	—
835	C₂²×D₄	—	79	2	no	—
836	C₂²×D₄	—	79	2	no	—
837	C₂²×D₄	—	79	2	no	—
838	C₂²×D₄	—	79	1	no	—
839	C₂²×D₄	—	79	1	no	—
840	C₂²×D₄	—	158	8	no	—
841	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
842	C₂³×C₄	—	79	2	no	—
843	C₂³×C₄	—	79	1	no	—
844	C₂³×C₄	—	79	2	no	—
845	C₂³×C₄	—	79	2	no	—
846	C₂³×C₄	—	79	1	no	—
847	C₂³×C₄	—	79	1	no	—
848	C₂³×C₄	—	79	1	no	—
849	C₂³×C₄	—	79	1	no	—
850	C₂³×C₄	—	79	1	no	—
851	C₂³×C₄	—	79	2	no	—
852	C₂³×C₄	—	79	1	no	—
853	C₂³×C₄	—	79	1	no	—
854	C₂³×C₄	—	79	1	no	—
855	C₂³×C₄	—	79	1	no	—
856	C₂³×C₄	—	79	8	no	—
857	C₂³×C₄	—	79	8	no	—
858	C₂³×C₄	—	79	2	no	—
859	C₂³×C₄	—	79	2	no	—
860	C₂³×C₄	—	79	1	no	—
861	C₂³×C₄	—	158	8	no	—
862	C₂³×C₄	—	158	8	no	—
863	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
864	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
865	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
866	C₄⋊Q₈	—	79	8	no	—
867	C₄⋊Q₈	—	79	8	no	—
868	#126	—	79	16	no	—
869	#126	—	79	16	no	—
870	#126	—	79	16	no	—
871	#126	—	79	16	no	—
872	#126	—	79	16	no	—
873	#126	C₂²×D₇₉	1	16	yes	complemented
874	#125	—	79	16	no	—
875	#125	—	79	16	no	—
876	#125	—	79	8	no	—
877	#125	C₂²×D₇₉	1	16	yes	complemented
878	#125	C₂²×D₇₉	1	8	yes	complemented
879	#124	—	79	16	no	—
880	#124	—	79	16	no	—
881	#124	—	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	—	79	16	no	—
888	#123	—	79	16	no	—
889	#123	C₂²×D₇₉	1	16	yes	—
890	C₂²⋊Q₈	—	79	8	no	—
891	C₂²⋊Q₈	—	79	8	no	—
892	C₂²⋊Q₈	—	79	16	no	—
893	C₂²⋊Q₈	—	79	16	no	—
894	C₂²⋊Q₈	—	79	16	no	—
895	C₂²⋊Q₈	—	79	16	no	—
896	C₂²⋊Q₈	—	79	16	no	—
897	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
898	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
899	#121	—	79	16	no	—
900	#121	—	79	8	no	—
901	#121	—	79	8	no	—
902	#121	—	79	8	no	—
903	#121	—	79	8	no	—
904	#121	—	79	16	no	—
905	#121	—	79	16	no	—
906	#120	—	79	16	no	—
907	#120	—	79	16	no	—
908	C₄×Q₈	—	79	8	no	—
909	C₄×Q₈	—	79	16	no	—
910	C₄×Q₈	—	79	16	no	—
911	C₄×Q₈	—	79	16	no	—
912	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
913	C₄×D₄	—	79	8	no	—
914	C₄×D₄	—	79	8	no	—
915	C₄×D₄	—	79	8	no	—
916	C₄×D₄	—	79	8	no	—
917	C₄×D₄	—	79	16	no	—
918	C₄×D₄	—	79	16	no	—
919	C₄×D₄	—	79	8	no	—
920	C₄×D₄	—	79	16	no	—
921	C₄×D₄	—	79	16	no	—
922	C₄×D₄	—	79	8	no	—
923	C₄×D₄	—	79	8	no	—
924	C₄×D₄	—	79	16	no	—
925	C₄×D₄	—	79	16	no	—
926	C₄×D₄	—	79	16	no	—
927	C₄×D₄	—	79	16	no	—
928	C₄×D₄	—	79	8	no	—
929	C₄×D₄	—	79	16	no	—
930	C₄×D₄	—	79	8	no	—
931	C₄×D₄	C₂²×D₇₉	1	8	yes	—
932	#117	—	79	8	no	—
933	#117	—	79	8	no	—
934	#117	—	79	8	no	—
935	#117	—	79	8	no	—
936	#117	—	79	16	no	—
937	#117	—	79	16	no	—
938	#117	—	79	8	no	—
939	#117	—	79	8	no	—
940	#117	—	79	16	no	—
941	#117	—	79	16	no	—
942	#117	—	79	16	no	—
943	#117	—	79	16	no	—
944	#117	—	79	16	no	—
945	#117	C₂²×D₇₉	1	8	yes	complemented
946	#117	C₂²×D₇₉	1	16	yes	complemented
947	C₂×C₄⋊C₄	—	79	1	no	—
948	C₂×C₄⋊C₄	—	79	1	no	—
949	C₂×C₄⋊C₄	—	79	1	no	—
950	C₂×C₄⋊C₄	—	79	1	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	8	no	—
955	C₂×C₄⋊C₄	—	79	1	no	—
956	C₂×C₄⋊C₄	—	79	1	no	—
957	C₂×C₄⋊C₄	—	79	2	no	—
958	C₂×C₄⋊C₄	—	79	2	no	—
959	C₂×C₄⋊C₄	—	79	2	no	—
960	C₂×C₄⋊C₄	—	79	2	no	—
961	C₂×C₄⋊C₄	—	79	2	no	—
962	C₂×C₄⋊C₄	—	79	2	no	—
963	C₂×C₄⋊C₄	—	79	2	no	—
964	C₂×C₄⋊C₄	—	79	8	no	—
965	C₂×C₄⋊C₄	—	79	8	no	—
966	C₂×C₄⋊C₄	—	79	8	no	—
967	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
972	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
973	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
974	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
975	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
976	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
977	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
978	C₂×C₂²⋊C₄	—	79	2	no	—
979	C₂×C₂²⋊C₄	—	79	1	no	—
980	C₂×C₂²⋊C₄	—	79	1	no	—
981	C₂×C₂²⋊C₄	—	79	2	no	—
982	C₂×C₂²⋊C₄	—	79	1	no	—
983	C₂×C₂²⋊C₄	—	79	2	no	—
984	C₂×C₂²⋊C₄	—	79	2	no	—
985	C₂×C₂²⋊C₄	—	79	2	no	—
986	C₂×C₂²⋊C₄	—	79	2	no	—
987	C₂×C₂²⋊C₄	—	79	16	no	—
988	C₂×C₂²⋊C₄	—	79	1	no	—
989	C₂×C₂²⋊C₄	—	79	1	no	—
990	C₂×C₂²⋊C₄	—	79	1	no	—
991	C₂×C₂²⋊C₄	—	79	2	no	—
992	C₂×C₂²⋊C₄	—	79	2	no	—
993	C₂×C₂²⋊C₄	—	79	2	no	—
994	C₂×C₂²⋊C₄	—	79	2	no	—
995	C₂×C₂²⋊C₄	—	79	2	no	—
996	C₂×C₂²⋊C₄	—	79	2	no	—
997	C₂×C₂²⋊C₄	—	79	2	no	—
998	C₂×C₂²⋊C₄	—	79	2	no	—
999	C₂×C₂²⋊C₄	—	79	16	no	—
1000	C₂×C₂²⋊C₄	—	79	8	no	—
1001	C₂×C₂²⋊C₄	—	79	8	no	—
1002	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1006	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1007	C₂×C₄²	—	79	2	no	—
1008	C₂×C₄²	—	79	2	no	—
1009	C₂×C₄²	—	79	1	no	—
1010	C₂×C₄²	—	79	2	no	—
1011	C₂×C₄²	—	79	2	no	—
1012	C₂×C₄²	—	79	2	no	—
1013	C₂×C₄²	—	79	2	no	—
1014	C₂×C₄²	—	79	16	no	—
1015	C₂×C₄²	—	79	1	no	—
1016	C₂×C₄²	—	79	2	no	—
1017	C₂×C₄²	—	79	1	no	—
1018	C₂×C₄²	—	79	16	no	—
1019	C₂×C₄²	—	79	8	no	—
1020	C₂×C₄²	—	79	16	no	—
1021	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1022	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1023	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂⁴	—	316	2	no	—
1025	C₂⁴	—	316	2	no	—
1026	C₂⁴	—	79	4	no	—
1027	C₂⁴	—	79	4	no	—
1028	C₂⁴	—	79	1	no	—
1029	C₂⁴	—	79	1	no	—
1030	C₂⁴	—	79	1	no	—
1031	C₂⁴	—	79	2	no	—
1032	C₂⁴	—	158	4	no	—
1033	C₂⁴	—	158	4	no	—
1034	C₂⁴	—	158	4	no	—
1035	C₂⁴	—	158	4	no	—
1036	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1037	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1038	#41	—	158	64	no	—
1039	#41	—	158	32	no	—
1040	C₂×Q₈	—	2	4	no	—
1041	C₂×Q₈	—	316	4	no	—
1042	C₂×Q₈	—	79	8	no	—
1043	C₂×Q₈	—	79	8	no	—
1044	C₂×Q₈	—	158	8	no	—
1045	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1046	C₂×D₄	—	2	4	no	—
1047	C₂×D₄	—	316	4	no	—
1048	C₂×D₄	—	316	4	no	—
1049	C₂×D₄	—	79	8	no	—
1050	C₂×D₄	—	79	8	no	—
1051	C₂×D₄	—	79	4	no	—
1052	C₂×D₄	—	79	8	no	—
1053	C₂×D₄	—	79	4	no	—
1054	C₂×D₄	—	79	8	no	—
1055	C₂×D₄	—	79	8	no	—
1056	C₂×D₄	—	79	8	no	—
1057	C₂×D₄	—	79	4	no	—
1058	C₂×D₄	—	79	4	no	—
1059	C₂×D₄	—	158	4	no	—
1060	C₂×D₄	—	158	8	no	—
1061	C₂×D₄	—	158	8	no	—
1062	C₂×D₄	—	158	4	no	—
1063	C₂×D₄	—	158	32	no	—
1064	C₂×D₄	—	158	8	no	—
1065	C₂×D₄	—	158	4	no	—
1066	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1067	C₂²×C₄	—	2	8	no	—
1068	C₂²×C₄	—	2	4	no	—
1069	C₂²×C₄	—	2	4	no	—
1070	C₂²×C₄	—	316	4	no	—
1071	C₂²×C₄	—	316	2	no	—
1072	C₂²×C₄	—	316	4	no	—
1073	C₂²×C₄	—	316	4	no	—
1074	C₂²×C₄	—	79	8	no	—
1075	C₂²×C₄	—	79	4	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	8	no	—
1081	C₂²×C₄	—	79	4	no	—
1082	C₂²×C₄	—	79	4	no	—
1083	C₂²×C₄	—	79	4	no	—
1084	C₂²×C₄	—	79	2	no	—
1085	C₂²×C₄	—	79	1	no	—
1086	C₂²×C₄	—	79	1	no	—
1087	C₂²×C₄	—	79	2	no	—
1088	C₂²×C₄	—	79	2	no	—
1089	C₂²×C₄	—	79	1	no	—
1090	C₂²×C₄	—	79	4	no	—
1091	C₂²×C₄	—	79	8	no	—
1092	C₂²×C₄	—	79	4	no	—
1093	C₂²×C₄	—	79	8	no	—
1094	C₂²×C₄	—	79	8	no	—
1095	C₂²×C₄	—	79	4	no	—
1096	C₂²×C₄	—	79	4	no	—
1097	C₂²×C₄	—	79	4	no	—
1098	C₂²×C₄	—	79	4	no	—
1099	C₂²×C₄	—	79	4	no	—
1100	C₂²×C₄	—	158	4	no	—
1101	C₂²×C₄	—	158	4	no	—
1102	C₂²×C₄	—	158	32	no	—
1103	C₂²×C₄	—	158	32	no	—
1104	C₂²×C₄	—	158	4	no	—
1105	C₂²×C₄	—	158	8	no	—
1106	C₂²×C₄	—	158	8	no	—
1107	C₂²×C₄	—	158	4	no	—
1108	C₂²×C₄	—	158	4	no	—
1109	C₂²×C₄	—	158	8	no	—
1110	C₂²×C₄	—	158	4	no	—
1111	C₂²×C₄	—	158	4	no	—
1112	C₂²×C₄	—	158	4	no	—
1113	C₂²×C₄	—	158	4	no	—
1114	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1115	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1116	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1117	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1118	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1120	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1122	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1123	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1126	C₄⋊C₄	—	79	4	no	—
1127	C₄⋊C₄	—	79	8	no	—
1128	C₄⋊C₄	—	79	8	no	—
1129	C₄⋊C₄	—	79	4	no	—
1130	C₄⋊C₄	—	79	8	no	—
1131	C₄⋊C₄	—	79	8	no	—
1132	C₄⋊C₄	—	79	8	no	—
1133	C₄⋊C₄	—	79	8	no	—
1134	C₄⋊C₄	—	79	8	no	—
1135	C₄⋊C₄	—	79	8	no	—
1136	C₄⋊C₄	—	79	4	no	—
1137	C₄⋊C₄	—	79	4	no	—
1138	C₄⋊C₄	—	79	4	no	—
1139	C₄⋊C₄	—	79	8	no	—
1140	C₄⋊C₄	—	79	4	no	—
1141	C₄⋊C₄	—	79	8	no	—
1142	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1143	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1144	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1146	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1147	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1148	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1149	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1150	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1151	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1152	C₂²⋊C₄	—	79	8	no	—
1153	C₂²⋊C₄	—	79	4	no	—
1154	C₂²⋊C₄	—	79	4	no	—
1155	C₂²⋊C₄	—	79	8	no	—
1156	C₂²⋊C₄	—	79	4	no	—
1157	C₂²⋊C₄	—	79	8	no	—
1158	C₂²⋊C₄	—	79	8	no	—
1159	C₂²⋊C₄	—	79	8	no	—
1160	C₂²⋊C₄	—	79	8	no	—
1161	C₂²⋊C₄	—	79	4	no	—
1162	C₂²⋊C₄	—	79	4	no	—
1163	C₂²⋊C₄	—	79	4	no	—
1164	C₂²⋊C₄	—	79	8	no	—
1165	C₂²⋊C₄	—	79	8	no	—
1166	C₂²⋊C₄	—	79	8	no	—
1167	C₂²⋊C₄	—	79	8	no	—
1168	C₂²⋊C₄	—	79	8	no	—
1169	C₂²⋊C₄	—	79	8	no	—
1170	C₂²⋊C₄	—	79	8	no	—
1171	C₂²⋊C₄	—	79	8	no	—
1172	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1173	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1175	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1176	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1177	C₄²	—	79	8	no	—
1178	C₄²	—	79	4	no	—
1179	C₄²	—	79	8	no	—
1180	C₄²	—	79	4	no	—
1181	C₄²	—	79	8	no	—
1182	C₄²	—	79	8	no	—
1183	C₄²	—	79	8	no	—
1184	C₄²	—	79	8	no	—
1185	C₄²	—	79	4	no	—
1186	C₄²	—	79	8	no	—
1187	C₄²	C₂³×D₇₉	1	8	yes	—
1188	C₄²	C₂³×D₇₉	1	8	yes	—
1189	C₄²	C₂³×D₇₉	1	4	yes	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	316	16	no	—
1196	C₂³	—	316	4	no	—
1197	C₂³	—	316	4	no	—
1198	C₂³	—	316	16	no	—
1199	C₂³	—	79	2	no	—
1200	C₂³	—	79	2	no	—
1201	C₂³	—	79	4	no	—
1202	C₂³	—	79	4	no	—
1203	C₂³	—	79	2	no	—
1204	C₂³	—	79	4	no	—
1205	C₂³	—	158	8	no	—
1206	C₂³	—	158	8	no	—
1207	C₂³	—	158	8	no	—
1208	C₂³	—	158	4	no	—
1209	C₂³	—	158	2	no	—
1210	C₂³	—	158	2	no	—
1211	C₂³	—	158	4	no	—
1212	C₂³	—	158	4	no	—
1213	C₂³	—	158	8	no	—
1214	C₂³	—	158	2	no	—
1215	C₂³	—	158	2	no	—
1216	C₂³	—	158	2	no	—
1217	C₂³	—	158	2	no	—
1218	C₂³	—	158	2	no	—
1219	C₂³	#41×D₇₉	1	4	yes	—
1220	C₂³	C₂⁴×D₇₉	1	2	yes	—
1221	C₂³	C₂⁴×D₇₉	1	2	yes	—
1222	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1223	Q₈	—	2	8	no	—
1224	Q₈	—	316	8	no	—
1225	Q₈	—	158	16	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	316	8	no	—
1228	D₄	—	316	8	no	—
1229	D₄	—	79	16	no	—
1230	D₄	—	158	8	no	—
1231	D₄	—	158	16	no	—
1232	D₄	—	158	16	no	—
1233	D₄	—	158	8	no	—
1234	D₄	—	158	16	no	—
1235	D₄	—	158	8	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	4	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	16	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	8	no	—
1247	C₂×C₄	—	316	8	no	—
1248	C₂×C₄	—	316	4	no	—
1249	C₂×C₄	—	316	8	no	—
1250	C₂×C₄	—	316	8	no	—
1251	C₂×C₄	—	79	2	no	—
1252	C₂×C₄	—	79	2	no	—
1253	C₂×C₄	—	79	4	no	—
1254	C₂×C₄	—	79	4	no	—
1255	C₂×C₄	—	79	16	no	—
1256	C₂×C₄	—	79	2	no	—
1257	C₂×C₄	—	79	4	no	—
1258	C₂×C₄	—	79	2	no	—
1259	C₂×C₄	—	79	4	no	—
1260	C₂×C₄	—	79	4	no	—
1261	C₂×C₄	—	79	2	no	—
1262	C₂×C₄	—	158	8	no	—
1263	C₂×C₄	—	158	8	no	—
1264	C₂×C₄	—	158	8	no	—
1265	C₂×C₄	—	158	16	no	—
1266	C₂×C₄	—	158	16	no	—
1267	C₂×C₄	—	158	8	no	—
1268	C₂×C₄	—	158	8	no	—
1269	C₂×C₄	—	158	16	no	—
1270	C₂×C₄	—	158	8	no	—
1271	C₂×C₄	—	158	8	no	—
1272	C₂×C₄	—	158	4	no	—
1273	C₂×C₄	—	158	4	no	—
1274	C₂×C₄	—	158	2	no	—
1275	C₂×C₄	—	158	2	no	—
1276	C₂×C₄	—	158	2	no	—
1277	C₂×C₄	—	158	4	no	—
1278	C₂×C₄	—	158	8	no	—
1279	C₂×C₄	—	158	8	no	—
1280	C₂×C₄	#41×D₇₉	1	4	yes	—
1281	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1282	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1284	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1286	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1287	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	8	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	4	no	—
1297	C₂²	—	316	16	no	—
1298	C₂²	—	316	16	no	—
1299	C₂²	—	316	4	no	—
1300	C₂²	—	316	8	no	—
1301	C₂²	—	79	4	no	—
1302	C₂²	—	79	4	no	—
1303	C₂²	—	158	2	no	—
1304	C₂²	—	158	4	no	—
1305	C₂²	—	158	4	no	—
1306	C₂²	—	158	2	no	—
1307	C₂²	—	158	4	no	—
1308	C₂²	—	158	2	no	—
1309	C₂²	—	158	2	no	—
1310	C₂²	—	158	2	no	—
1311	C₂²	—	158	2	no	—
1312	C₂²	—	158	2	no	—
1313	C₂²	—	158	8	no	—
1314	C₂²	—	158	8	no	—
1315	C₂²	C₂×#41×D₇₉	1	4	yes	—
1316	C₂²	C₂×#41×D₇₉	1	2	yes	—
1317	C₂²	C₂×#41×D₇₉	1	2	yes	—
1318	C₂²	#19099400	1	2	yes	—
1319	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1320	C₄	—	2	4	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	4	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	4	no	—
1328	C₄	—	79	4	no	—
1329	C₄	—	79	4	no	—
1330	C₄	—	158	2	no	—
1331	C₄	—	158	2	no	—
1332	C₄	—	158	4	no	—
1333	C₄	—	158	4	no	—
1334	C₄	—	158	4	no	—
1335	C₄	—	158	2	no	—
1336	C₄	C₂×#41×D₇₉	1	4	yes	—
1337	C₂	—	2	4	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	316	2	no	—
1340	C₂	—	316	4	no	—
1341	C₂	—	158	4	no	—
1342	C₂	—	158	4	no	—
1343	C₂	#23776953	1	4	yes	direct product factor
1344	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1345	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1346	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×#3475
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. #23776953	C₂	direct (N × H)
2. C₂×#19099284	C₂	semidirect
3. C₂×#19099276	C₂	semidirect
4. C₂×#19099271	C₂	semidirect
5. C₂×#19099266	C₂	semidirect
6. C₂×#19099259	C₂	semidirect
7. C₂×#19099254	C₂	semidirect
8. C₂×#19099245	C₂	semidirect
9. C₂×#19099238	C₂	semidirect
10. C₂×#19099237	C₂	semidirect
11. C₂×#19099214	C₂	semidirect
12. C₂×#19099205	C₂	semidirect
13. C₂×#19099119	C₂	semidirect
14. C₂×#19099098	C₂	semidirect
15. C₂×#19099096	C₂	semidirect
16. C₂×#19099090	C₂	semidirect
17. C₂×#19099076	C₂	semidirect
18. C₂×#19099076	C₂	semidirect
19. C₂×C₄×#11929625	C₂	semidirect
20. C₂×#19099031	C₂	semidirect
21. C₂×C₄×D₄×D₇₉	C₂	semidirect
22. C₂²×#14579119	C₂	semidirect
23. C₂×#117×D₇₉	C₂	semidirect
24. C₂×#552×C₇₉	C₂	semidirect
30. #19099284	C₂²	semidirect
31. #19099276	C₂²	semidirect
32. #19099271	C₂²	semidirect
33. #19099266	C₂²	semidirect
34. #19099259	C₂²	semidirect
35. #19099254	C₂²	semidirect
36. #19099245	C₂²	semidirect
37. #19099238	C₂²	semidirect
38. #19099237	C₂²	semidirect
39. #19099214	C₂²	semidirect
40. #19099205	C₂²	semidirect
41. #19099119	C₂²	semidirect
42. C₂×#14579160	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
44. #19099098	C₂²	semidirect
45. #19099096	C₂²	semidirect
46. #19099090	C₂²	semidirect
47. C₂×#14579156	C₂²	semidirect
48. C₂×#14579156	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579155	C₂²	semidirect
51. C₂×#14579154	C₂²	semidirect
52. C₂×#14579153	C₂²	semidirect
53. C₂×#14579151	C₂²	semidirect
54. C₂×#14579151	C₂²	semidirect
55. C₂×#14579149	C₂²	semidirect
57. C₂×#14579147	C₂²	semidirect
58. #19099076	C₂²	semidirect
59. #19099076	C₂²	semidirect
63. C₂×#14579146	C₂²	semidirect
64. C₂×#14579146	C₂²	semidirect
65. C₂×#14579144	C₂²	semidirect
66. C₂×#14579143	C₂²	semidirect
67. C₂×#14579141	C₂²	semidirect
70. C₂×#14579139	C₂²	semidirect
71. C₂×#14579138	C₂²	semidirect
72. C₂×#14579137	C₂²	semidirect
73. C₂×#14579137	C₂²	semidirect
75. C₂×#14579136	C₂²	semidirect
76. C₂×#14579136	C₂²	semidirect
77. C₂×#14579135	C₂²	semidirect
78. C₂×#14579135	C₂²	semidirect
83. C₄×#11929625	C₂²	semidirect
84. #19099031	C₂²	semidirect
85. C₂×Q₈×Dic₇₉	C₂²	semidirect
86. C₂×#14579126	C₂²	semidirect
87. C₂×#14579126	C₂²	semidirect
88. C₂×#14579126	C₂²	semidirect
91. C₂×C₄×D₃₁₆	C₂²	semidirect
95. C₂×#14579123	C₂²	semidirect
96. C₂×#14579123	C₂²	semidirect
97. C₂×#14579123	C₂²	semidirect
98. C₂×#14579123	C₂²	semidirect
104. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
105. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
106. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
107. C₄×D₄×D₇₉	C₂²	semidirect
108. C₂×#14579120	C₂²	semidirect
113. C₂×#14579119	C₂²	semidirect
114. C₂×#14579119	C₂²	semidirect
115. C₂×#14579119	C₂²	semidirect
116. C₂×#14579119	C₂²	semidirect
117. C₂×#14579119	C₂²	semidirect
119. C₂×#14579118	C₂²	semidirect
120. C₂×#14579118	C₂²	semidirect
121. C₂×#14579117	C₂²	semidirect
122. #117×D₇₉	C₂²	semidirect
123. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
125. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
126. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
131. C₂²×C₄×Dic₇₉	C₂²	semidirect
133. C₂×C₄²×D₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
135. #552×C₇₉	C₂²	semidirect
136. C₂×#126×C₇₉	C₂²	semidirect
137. C₂×#125×C₇₉	C₂²	semidirect
138. C₂×#125×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
144. C₂×#117×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
187. #14579160	C₂³	semidirect
188. #14579160	C₂³	semidirect
189. #14579156	C₂³	semidirect
190. #14579156	C₂³	semidirect
191. #14579156	C₂³	semidirect
192. #14579155	C₂³	semidirect
193. #14579154	C₂³	semidirect
194. #14579153	C₂³	semidirect
195. #14579151	C₂³	semidirect
196. #14579151	C₂³	semidirect
197. #14579149	C₂³	semidirect
199. #14579147	C₂³	semidirect
203. #14579146	C₂³	semidirect
204. #14579146	C₂³	semidirect
205. #14579144	C₂³	semidirect
206. #14579143	C₂³	semidirect
207. #14579141	C₂³	semidirect
210. #14579139	C₂³	semidirect
211. #14579138	C₂³	semidirect
212. #14579137	C₂³	semidirect
213. #14579137	C₂³	semidirect
215. #14579136	C₂³	semidirect
216. #14579136	C₂³	semidirect
217. #14579135	C₂³	semidirect
218. #14579135	C₂³	semidirect
223. Q₈×Dic₇₉	C₂³	semidirect
224. #14579126	C₂³	semidirect
225. #14579126	C₂³	semidirect
226. #14579126	C₂³	semidirect
229. C₄×D₃₁₆	C₂³	semidirect
233. #14579123	C₂³	semidirect
234. #14579123	C₂³	semidirect
235. #14579123	C₂³	semidirect
236. #14579123	C₂³	semidirect
242. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
243. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
244. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
245. #14579120	C₂³	semidirect
250. #14579119	C₂³	semidirect
251. #14579119	C₂³	semidirect
252. #14579119	C₂³	semidirect
253. #14579119	C₂³	semidirect
255. #14579118	C₂³	semidirect
256. #14579118	C₂³	semidirect
257. #14579117	C₂³	semidirect
264. C₂×C₄⋊Dic₇₉	C₂³	semidirect
276. C₄⋊C₄×D₇₉	C₂³	semidirect
277. C₄⋊C₄×D₇₉	C₂³	semidirect
312. C₂×C₄×Dic₇₉	C₂³	semidirect
314. C₄²×D₇₉	C₂³	semidirect
315. C₄²×D₇₉	C₂³	semidirect
321. #126×C₇₉	C₂³	semidirect
322. #125×C₇₉	C₂³	semidirect
323. #125×C₇₉	C₂³	semidirect
325. C₂²⋊Q₈×C₇₉	C₂³	semidirect
326. C₂²⋊Q₈×C₇₉	C₂³	semidirect
327. C₄×Q₈×C₇₉	C₂³	semidirect
329. #117×C₇₉	C₂³	semidirect
330. #117×C₇₉	C₂³	semidirect
341. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
381. C₂×C₂²⋊D₇₉	#41	semidirect
416. C₂×C₄×D₇₉	#41	semidirect
575. C₂²⋊D₇₉	C₂×#41	semidirect
613. C₄×D₇₉	C₂×#41	semidirect
666. C₂×C₇₉	#3475	semidirect
682. C₂×#552	D₇₉	semidirect
698. C₇₉	C₂×#3475	semidirect
711. #552	C₂×D₇₉	semidirect
727. C₂×#126	C₂×D₇₉	semidirect
731. C₂×#125	C₂×D₇₉	semidirect
732. C₂×#125	C₂×D₇₉	semidirect
753. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
754. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
770. C₂×C₄×Q₈	C₂×D₇₉	semidirect
806. C₂×#117	C₂×D₇₉	semidirect
807. C₂×#117	C₂×D₇₉	semidirect
812. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
873. #126	C₂²×D₇₉	semidirect
877. #125	C₂²×D₇₉	semidirect
878. #125	C₂²×D₇₉	semidirect
897. C₂²⋊Q₈	C₂²×D₇₉	semidirect
898. C₂²⋊Q₈	C₂²×D₇₉	semidirect
912. C₄×Q₈	C₂²×D₇₉	semidirect
945. #117	C₂²×D₇₉	semidirect
946. #117	C₂²×D₇₉	semidirect
977. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1343. C₂	#23776953	direct (N × H)

Maximal subgroups

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

subgroup	index
#23776953	2
C₂×#19099284	2
C₂×#19099276	2
C₂×#19099271	2
C₂×#19099266	2
C₂×#19099259	2
C₂×#19099254	2
C₂×#19099245	2
C₂×#19099238	2
C₂×#19099237	2
C₂×#19099214	2
C₂×#19099205	2
C₂×#19099119	2
C₂×#19099098	2
C₂×#19099096	2
C₂×#19099090	2
C₂×#19099076	2
C₂×C₄×#11929625	2
C₂×#19099031	2
C₂×C₄×D₄×D₇₉	2
C₂²×#14579119	2
C₂×#117×D₇₉	2
C₂×#552×C₇₉	2
C₂×#3475	79

Subgroups — C2×#23776953 #35195303

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23776953 #35195303