Subgroups — C₂×#23777140 #35196687

Order 20224.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777140	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099280	C₂	1	2	yes	maximal, complemented
3	C₂×#19099272	C₂	1	2	yes	maximal, complemented
4	C₂×#19099252	C₂	1	2	yes	maximal, complemented
5	C₂×#19099250	C₂	1	2	yes	maximal, complemented
6	C₂×#19099249	C₂	1	2	yes	maximal, complemented
7	C₂×#19099246	C₂	1	2	yes	maximal, complemented
8	C₂×#19099242	C₂	1	2	yes	maximal, complemented
9	C₂×#19099236	C₂	1	2	yes	maximal, complemented
10	C₂×#19099193	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099182	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099178	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099176	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099171	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099133	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099120	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#19099115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099094	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099073	C₂	1	1	yes	maximal, characteristic
20	C₂×C₂²⋊Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#19099042	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099039	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#14579118	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#529×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929623	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
28	#19099280	C₂²	1	32	yes	complemented
29	#19099272	C₂²	1	32	yes	complemented
30	#19099252	C₂²	1	32	yes	complemented
31	#19099250	C₂²	1	32	yes	complemented
32	#19099249	C₂²	1	32	yes	complemented
33	#19099246	C₂²	1	32	yes	complemented
34	#19099242	C₂²	1	32	yes	complemented
35	#19099236	C₂²	1	32	yes	complemented
36	#19099193	C₂²	1	16	yes	complemented
37	#19099182	C₂²	1	16	yes	complemented
38	#19099178	C₂²	1	16	yes	complemented
39	#19099176	C₂²	1	16	yes	complemented
40	#19099171	C₂²	1	16	yes	complemented
41	#19099133	C₂²	1	16	yes	complemented
42	#19099120	C₂²	1	16	yes	complemented
43	#19099115	C₂²	1	16	yes	complemented
44	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
45	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
46	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
47	C₂×#14579160	C₂²	1	2	yes	complemented
48	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
49	#19099094	C₂²	1	16	yes	complemented
50	C₂×#14579156	C₂²	1	2	yes	—
51	C₂×#14579156	C₂²	1	2	yes	—
52	C₂×#14579156	C₂²	1	2	yes	—
53	C₂×#14579155	C₂²	1	2	yes	—
54	C₂×#14579154	C₂²	1	2	yes	complemented
55	C₂×#14579154	C₂²	1	2	yes	complemented
56	C₂×#14579154	C₂²	1	2	yes	complemented
57	C₂×#14579153	C₂²	1	2	yes	complemented
58	C₂×#14579153	C₂²	1	2	yes	complemented
59	C₂×#14579152	C₂²	1	2	yes	complemented
60	C₂×#14579152	C₂²	1	2	yes	complemented
61	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14579151	C₂²	1	2	yes	complemented
63	C₂×#14579151	C₂²	1	2	yes	complemented
64	C₂×#14579151	C₂²	1	2	yes	complemented
65	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
66	C₂×#14579147	C₂²	1	2	yes	—
67	C₂×#14579147	C₂²	1	2	yes	—
68	#19099073	C₂²	1	16	yes	—
69	C₂×#14579145	C₂²	1	2	yes	—
70	C₂×#14579144	C₂²	1	2	yes	—
71	C₂×#14579143	C₂²	1	2	yes	—
72	C₂×#14579143	C₂²	1	2	yes	—
73	C₂×#14579143	C₂²	1	2	yes	—
74	C₂×#14579142	C₂²	1	2	yes	—
75	C₂×#14579141	C₂²	1	1	yes	characteristic
76	C₂×#14579141	C₂²	1	1	yes	characteristic
77	C₂×#14579141	C₂²	1	2	yes	—
78	C₂×#14579140	C₂²	1	1	yes	characteristic
79	C₂×#14579140	C₂²	1	1	yes	characteristic
80	C₂×#14579140	C₂²	1	2	yes	—
81	C₂×#14579140	C₂²	1	2	yes	complemented
82	C₂×#14579139	C₂²	1	2	yes	—
83	C₂×#14579139	C₂²	1	2	yes	—
84	C₂×#14579138	C₂²	1	2	yes	—
85	C₂×#14579138	C₂²	1	2	yes	—
86	C₂×#14579138	C₂²	1	2	yes	complemented
87	C₂×#14579138	C₂²	1	2	yes	complemented
88	C₂×#14579138	C₂²	1	2	yes	complemented
89	C₂×#14579137	C₂²	1	1	yes	characteristic
90	C₂²⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
91	C₂×#14579132	C₂²	1	1	yes	characteristic
92	C₂×#14579129	C₂²	1	2	yes	—
93	#19099042	C₂²	1	16	yes	complemented
94	#19099039	C₂²	1	16	yes	complemented
95	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
98	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
100	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14579126	C₂²	1	2	yes	complemented
103	C₂×#14579126	C₂²	1	2	yes	complemented
104	C₂×D₄×Dic₇₉	C₂²	1	2	yes	—
105	C₂×D₄×Dic₇₉	C₂²	1	2	yes	—
106	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	—
108	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
109	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
110	C₂×#14579120	C₂²	1	2	yes	—
111	C₂×#14579119	C₂²	1	1	yes	characteristic
112	C₂×#14579119	C₂²	1	2	yes	—
113	C₂×#14579118	C₂²	1	1	yes	characteristic
114	C₂×#14579118	C₂²	1	1	yes	characteristic
115	C₂×#14579118	C₂²	1	1	yes	characteristic
116	C₂×#14579118	C₂²	1	1	yes	characteristic
117	C₂×#14579118	C₂²	1	1	yes	characteristic
118	C₂×#14579118	C₂²	1	1	yes	characteristic
119	C₂×#14579118	C₂²	1	1	yes	characteristic
120	C₂×#14579118	C₂²	1	1	yes	characteristic
121	C₂×#14579118	C₂²	1	2	yes	—
122	C₂×#14579118	C₂²	1	16	yes	complemented
123	C₂×#14579117	C₂²	1	2	yes	—
124	C₂×#14579117	C₂²	1	2	yes	complemented
125	C₂×#14579117	C₂²	1	2	yes	complemented
126	C₂²×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
127	C₂²×Dic₇₉⋊C₄	C₂²	1	1	yes	characteristic
128	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
129	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
130	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	—
131	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
132	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
134	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic
135	#529×C₇₉	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
137	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×#124×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×#121×C₇₉	C₂²	1	1	yes	characteristic
142	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	—
144	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
147	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
148	C₂×#11929623	—	2	8	no	—
149	C₂×#11929623	C₂³	1	8	yes	—
150	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
151	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
152	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
153	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
154	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
155	C₂×Q₈×D₇₉	—	2	8	no	—
156	C₂×Q₈×D₇₉	C₂³	1	8	yes	—
157	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
159	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
160	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
161	C₂³×Dic₇₉	C₂³	1	2	yes	—
162	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
163	C₂³×Dic₇₉	C₂³	1	2	yes	—
164	C₂²×C₄×D₇₉	—	2	8	no	—
165	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
166	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	#14579161	C₂³	1	8	yes	complemented
173	#14579161	C₂³	1	8	yes	complemented
174	#14579160	C₂³	1	8	yes	complemented
175	#14579160	C₂³	1	16	yes	complemented
176	#14579159	C₂³	1	8	yes	complemented
177	#14579156	C₂³	1	16	yes	—
178	#14579156	C₂³	1	16	yes	—
179	#14579156	C₂³	1	16	yes	—
180	#14579155	C₂³	1	16	yes	—
181	#14579154	C₂³	1	16	yes	complemented
182	#14579154	C₂³	1	16	yes	complemented
183	#14579154	C₂³	1	16	yes	complemented
184	#14579153	C₂³	1	16	yes	complemented
185	#14579153	C₂³	1	16	yes	complemented
186	#14579152	C₂³	1	8	yes	complemented
187	#14579152	C₂³	1	16	yes	complemented
188	#14579152	C₂³	1	16	yes	complemented
189	#14579151	C₂³	1	16	yes	complemented
190	#14579151	C₂³	1	16	yes	complemented
191	#14579151	C₂³	1	16	yes	complemented
192	#14579148	C₂³	1	8	yes	complemented
193	#14579147	C₂³	1	16	yes	—
194	#14579147	C₂³	1	16	yes	—
195	#14579145	C₂³	1	16	yes	—
196	#14579144	C₂³	1	16	yes	—
197	#14579143	C₂³	1	16	yes	—
198	#14579143	C₂³	1	16	yes	—
199	#14579143	C₂³	1	16	yes	—
200	#14579142	C₂³	1	16	yes	—
201	#14579141	C₂³	1	8	yes	—
202	#14579141	C₂³	1	8	yes	—
203	#14579141	C₂³	1	16	yes	—
204	#14579140	C₂³	1	16	yes	—
205	#14579140	C₂³	1	8	yes	—
206	#14579140	C₂³	1	8	yes	—
207	#14579140	C₂³	1	16	yes	complemented
208	#14579139	C₂³	1	16	yes	—
209	#14579139	C₂³	1	16	yes	—
210	#14579138	C₂³	1	16	yes	—
211	#14579138	C₂³	1	16	yes	—
212	#14579138	C₂³	1	16	yes	complemented
213	#14579138	C₂³	1	16	yes	complemented
214	#14579138	C₂³	1	16	yes	complemented
215	#14579137	C₂³	1	8	yes	—
216	#14579132	C₂³	1	8	yes	—
217	#14579129	C₂³	1	16	yes	—
218	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
219	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
220	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
221	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
222	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
223	#14579126	C₂³	1	8	yes	complemented
224	#14579126	C₂³	1	8	yes	complemented
225	#14579126	C₂³	1	16	yes	complemented
226	#14579126	C₂³	1	16	yes	complemented
227	D₄×Dic₇₉	C₂³	1	16	yes	—
228	D₄×Dic₇₉	C₂³	1	16	yes	—
229	D₄×Dic₇₉	C₂³	1	8	yes	complemented
230	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
231	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
232	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
233	#14579120	C₂³	1	16	yes	—
234	#14579119	C₂³	1	8	yes	—
235	#14579119	C₂³	1	16	yes	—
236	#14579118	C₂³	1	8	yes	—
237	#14579118	C₂³	1	8	yes	—
238	#14579118	C₂³	1	8	yes	—
239	#14579118	C₂³	1	16	yes	—
240	#14579118	C₂³	1	8	yes	—
241	#14579118	C₂³	1	8	yes	—
242	#14579118	C₂³	1	8	yes	—
243	#14579118	C₂³	1	8	yes	—
244	#14579118	C₂³	1	8	yes	—
245	#14579117	C₂³	1	16	yes	—
246	#14579117	C₂³	1	16	yes	complemented
247	#14579117	C₂³	1	16	yes	complemented
248	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
252	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
253	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
254	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
257	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	—
258	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
259	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
260	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
261	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	—
264	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
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	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
280	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
281	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
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	2	yes	—
287	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	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	1	yes	characteristic
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	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	1	yes	characteristic
306	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇₉	C₂³	1	8	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	2	yes	—
313	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
314	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
315	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
316	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
317	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
321	#126×C₇₉	C₂³	1	16	yes	complemented
322	#125×C₇₉	C₂³	1	8	yes	complemented
323	#124×C₇₉	C₂³	1	8	yes	complemented
324	#123×C₇₉	C₂³	1	16	yes	—
325	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	—
326	#121×C₇₉	C₂³	1	8	yes	—
327	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
328	C₄×D₄×C₇₉	C₂³	1	16	yes	—
329	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
330	#117×C₇₉	C₂³	1	16	yes	complemented
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
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	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
337	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
338	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
342	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇₉	C₂³	1	8	yes	—
347	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
348	C₂³×D₇₉	—	2	4	no	—
349	C₂³×D₇₉	—	2	4	no	—
350	C₂³×D₇₉	—	4	2	no	—
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	C₂³×D₇₉	C₂⁴	1	4	yes	—
353	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
354	#11929623	—	2	32	no	—
355	C₂×Dic₁₅₈	—	2	8	no	—
356	C₂×Dic₁₅₈	—	2	4	no	—
357	C₂×Dic₁₅₈	—	2	4	no	—
358	C₂×Dic₁₅₈	—	4	4	no	—
359	C₂×Dic₁₅₈	—	4	4	no	—
360	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
361	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
362	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
363	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
364	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
365	Q₈×D₇₉	—	2	32	no	—
366	C₂×C₂²⋊D₇₉	—	2	8	no	—
367	C₂×C₂²⋊D₇₉	—	4	4	no	—
368	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
369	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
370	C₂²×Dic₇₉	—	2	8	no	—
371	C₂²×Dic₇₉	—	2	4	no	—
372	C₂²×Dic₇₉	—	2	4	no	—
373	C₂²×Dic₇₉	—	4	2	no	—
374	C₂²×Dic₇₉	—	4	4	no	—
375	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
376	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
378	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
379	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
380	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
381	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
387	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
388	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂×C₄×D₇₉	—	2	4	no	—
391	C₂×C₄×D₇₉	—	2	32	no	—
392	C₂×C₄×D₇₉	—	2	8	no	—
393	C₂×C₄×D₇₉	—	2	4	no	—
394	C₂×C₄×D₇₉	—	2	4	no	—
395	C₂×C₄×D₇₉	—	4	4	no	—
396	C₂×C₄×D₇₉	#41	1	8	yes	—
397	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
398	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
399	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
400	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
401	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
402	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
403	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
404	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
405	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
406	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
407	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
408	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
409	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
410	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
411	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
412	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
413	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
414	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
415	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
416	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
417	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
418	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
419	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
420	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
421	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
422	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
423	Dic₇₉⋊C₄	C₂⁴	1	8	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	8	yes	—
429	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
430	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
431	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
432	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
433	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
434	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
435	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
436	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
437	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
438	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
439	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
440	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
441	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
442	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
443	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
444	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
445	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
447	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
448	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
450	C₄×Dic₇₉	C₂⁴	1	4	yes	—
451	C₄×Dic₇₉	C₂⁴	1	4	yes	—
452	C₄×Dic₇₉	C₂⁴	1	4	yes	—
453	C₄×Dic₇₉	C₂⁴	1	4	yes	—
454	C₄×Dic₇₉	C₂⁴	1	8	yes	—
455	C₄×Dic₇₉	C₂⁴	1	8	yes	—
456	C₄×Dic₇₉	C₂⁴	1	8	yes	—
457	C₄×Dic₇₉	C₂⁴	1	8	yes	—
458	C₄×Dic₇₉	C₂⁴	1	8	yes	—
459	C₄×Dic₇₉	C₂⁴	1	8	yes	—
460	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
461	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂×Q₈×C₇₉	—	2	4	no	—
463	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
464	C₂×D₄×C₇₉	—	2	8	no	—
465	C₂×D₄×C₇₉	—	2	4	no	—
466	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
467	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
468	C₂²×C₄×C₇₉	—	2	4	no	—
469	C₂²×C₄×C₇₉	—	2	4	no	—
470	C₂²×C₄×C₇₉	—	4	4	no	—
471	C₂²×C₄×C₇₉	—	4	2	no	—
472	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
474	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
475	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
480	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
481	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
484	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
485	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
486	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
487	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
488	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
489	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
491	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
492	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
493	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
494	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
496	C₄²×C₇₉	C₂⁴	1	4	yes	—
497	C₄²×C₇₉	C₂⁴	1	4	yes	—
498	C₄²×C₇₉	C₂⁴	1	4	yes	—
499	C₄²×C₇₉	C₂⁴	1	4	yes	—
500	C₄²×C₇₉	C₂⁴	1	8	yes	—
501	C₂³×C₇₉	—	2	2	no	—
502	C₂³×C₇₉	—	2	2	no	—
503	C₂³×C₇₉	—	2	4	no	—
504	C₂³×C₇₉	—	2	4	no	—
505	C₂³×C₇₉	—	2	4	no	—
506	C₂³×C₇₉	2₋¹⁺⁴	1	4	yes	—
507	C₂³×C₇₉	C₂⁵	1	4	yes	—
508	C₂³×C₇₉	C₂⁵	1	2	yes	—
509	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
510	C₂²×D₇₉	—	2	2	no	—
511	C₂²×D₇₉	—	2	2	no	—
512	C₂²×D₇₉	—	2	2	no	—
513	C₂²×D₇₉	—	2	8	no	—
514	C₂²×D₇₉	—	2	2	no	—
515	C₂²×D₇₉	—	2	2	no	—
516	C₂²×D₇₉	—	2	8	no	—
517	C₂²×D₇₉	—	4	4	no	—
518	C₂²×D₇₉	—	4	16	no	—
519	C₂²×D₇₉	C₂×#41	1	4	yes	—
520	C₂²×D₇₉	C₂⁵	1	2	yes	—
521	C₂²×D₇₉	C₂⁵	1	2	yes	—
522	Q₈×C₇₉	—	2	8	no	—
523	D₄×C₇₉	—	2	16	no	—
524	D₄×C₇₉	—	2	8	no	—
525	C₂×C₄×C₇₉	—	2	2	no	—
526	C₂×C₄×C₇₉	—	2	4	no	—
527	C₂×C₄×C₇₉	—	2	8	no	—
528	C₂×C₄×C₇₉	—	2	2	no	—
529	C₂×C₄×C₇₉	—	2	2	no	—
530	C₂×C₄×C₇₉	—	2	4	no	—
531	C₂×C₄×C₇₉	—	2	4	no	—
532	C₂×C₄×C₇₉	—	2	2	no	—
533	C₂×C₄×C₇₉	—	2	2	no	—
534	C₂×C₄×C₇₉	—	2	8	no	—
535	C₂×C₄×C₇₉	—	4	4	no	—
536	C₂×C₄×C₇₉	—	4	8	no	—
537	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
538	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
539	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
540	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
541	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
542	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
543	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
544	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
545	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
546	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
547	C₂²⋊D₇₉	—	2	16	no	—
548	C₂²⋊D₇₉	—	4	8	no	—
549	C₂×Dic₇₉	—	2	2	no	—
550	C₂×Dic₇₉	—	2	4	no	—
551	C₂×Dic₇₉	—	2	4	no	—
552	C₂×Dic₇₉	—	2	8	no	—
553	C₂×Dic₇₉	—	2	2	no	—
554	C₂×Dic₇₉	—	2	2	no	—
555	C₂×Dic₇₉	—	2	4	no	—
556	C₂×Dic₇₉	—	2	2	no	—
557	C₂×Dic₇₉	—	2	2	no	—
558	C₂×Dic₇₉	—	2	4	no	—
559	C₂×Dic₇₉	—	2	8	no	—
560	C₂×Dic₇₉	—	2	16	no	—
561	C₂×Dic₇₉	—	4	4	no	—
562	C₂×Dic₇₉	—	4	8	no	—
563	C₂×Dic₇₉	C₂×#41	1	4	yes	—
564	C₂×Dic₇₉	C₂⁵	1	2	yes	—
565	C₂×Dic₇₉	C₂⁵	1	2	yes	—
566	C₂×Dic₇₉	C₂⁵	1	4	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	4	yes	—
572	C₂×Dic₇₉	C₂⁵	1	2	yes	—
573	C₂×Dic₇₉	C₂⁵	1	2	yes	—
574	C₄×D₇₉	—	2	8	no	—
575	C₄×D₇₉	—	2	16	no	—
576	C₄×D₇₉	—	2	8	no	—
577	C₄×D₇₉	—	2	8	no	—
578	C₄×D₇₉	—	4	8	no	—
579	C₄×D₇₉	C₂×#41	1	16	yes	—
580	Dic₁₅₈	—	2	8	no	—
581	Dic₁₅₈	—	2	8	no	—
582	Dic₁₅₈	—	2	16	no	—
583	Dic₁₅₈	—	4	8	no	—
584	Dic₁₅₈	—	4	8	no	—
585	C₂²×C₇₉	—	2	2	no	—
586	C₂²×C₇₉	—	2	2	no	—
587	C₂²×C₇₉	—	2	8	no	—
588	C₂²×C₇₉	—	2	4	no	—
589	C₂²×C₇₉	—	2	4	no	—
590	C₂²×C₇₉	—	2	4	no	—
591	C₂²×C₇₉	—	4	8	no	—
592	C₂²×C₇₉	C₂²×#41	1	2	yes	—
593	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	4	yes	—
594	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
595	C₂²×C₇₉	#585	1	2	yes	—
596	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
597	C₂×D₇₉	—	2	2	no	—
598	C₂×D₇₉	—	2	2	no	—
599	C₂×D₇₉	—	2	8	no	—
600	C₂×D₇₉	—	2	2	no	—
601	C₂×D₇₉	—	2	2	no	—
602	C₂×D₇₉	—	2	2	no	—
603	C₂×D₇₉	—	4	16	no	—
604	C₂×D₇₉	—	4	4	no	—
605	C₂×D₇₉	C₂²×#41	1	4	yes	—
606	C₄×C₇₉	—	2	2	no	—
607	C₄×C₇₉	—	2	4	no	—
608	C₄×C₇₉	—	2	2	no	—
609	C₄×C₇₉	—	2	2	no	—
610	C₄×C₇₉	—	2	4	no	—
611	C₄×C₇₉	—	2	2	no	—
612	C₄×C₇₉	—	2	2	no	—
613	C₄×C₇₉	—	2	4	no	—
614	C₄×C₇₉	C₂²×#41	1	4	yes	—
615	Dic₇₉	—	2	4	no	—
616	Dic₇₉	—	2	4	no	—
617	Dic₇₉	—	2	2	no	—
618	Dic₇₉	—	2	2	no	—
619	Dic₇₉	—	2	2	no	—
620	Dic₇₉	—	2	4	no	—
621	Dic₇₉	—	2	2	no	—
622	Dic₇₉	—	2	4	no	—
623	Dic₇₉	—	2	2	no	—
624	Dic₇₉	C₂²×#41	1	4	yes	—
625	C₂×#3495	—	79	1	no	maximal, Sylow
626	C₂×C₇₉	—	2	4	no	—
627	C₂×C₇₉	—	4	4	no	—
628	C₂×C₇₉	#3495	1	4	yes	complemented
629	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
630	C₂×C₇₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
631	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
632	D₇₉	—	2	4	no	—
633	D₇₉	—	4	2	no	—
634	#3495	—	79	32	no	—
635	C₂×#556	—	79	2	no	—
636	C₂×#554	—	79	2	no	—
637	C₂×#552	—	79	2	no	—
638	C₂×#552	—	79	2	no	—
639	C₂×#552	—	79	2	no	—
640	C₂×#552	—	79	2	no	—
641	C₂×#551	—	79	2	no	—
642	C₂×#551	—	79	2	no	—
643	C₂×#544	—	79	1	no	—
644	C₂×#542	—	79	1	no	—
645	C₂×#542	—	79	1	no	—
646	C₂×#541	—	79	1	no	—
647	C₂×#541	—	79	1	no	—
648	C₂×#536	—	79	1	no	—
649	C₂×#533	—	79	1	no	—
650	C₂×#533	—	79	1	no	—
651	C₂×#529	—	79	1	no	—
652	C₂×#529	D₇₉	1	1	yes	characteristic, complemented
653	C₂×#525	—	79	1	no	—
654	C₂²×C₂²⋊Q₈	—	79	1	no	—
655	C₂×#520	—	79	1	no	—
656	C₂×#519	—	79	1	no	—
657	C₂²×#117	—	79	1	no	—
658	C₇₉	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
659	C₂²×#41	—	79	1	no	—
660	C₂³×Q₈	—	79	1	no	—
661	C₂⁴×C₄	—	79	1	no	—
662	#556	—	79	32	no	—
663	#554	—	79	32	no	—
664	#552	—	79	32	no	—
665	#552	—	79	32	no	—
666	#552	—	79	32	no	—
667	#552	—	79	32	no	—
668	#551	—	79	32	no	—
669	#551	—	79	32	no	—
670	#544	—	79	16	no	—
671	#542	—	79	16	no	—
672	#542	—	79	16	no	—
673	#541	—	79	16	no	—
674	#541	—	79	16	no	—
675	#536	—	79	16	no	—
676	#533	—	79	16	no	—
677	#533	—	79	16	no	—
678	C₂×C₄⋊Q₈	—	79	1	no	—
679	C₂×C₄⋊Q₈	—	79	1	no	—
680	C₂×C₄⋊Q₈	—	79	2	no	—
681	C₂×C₄⋊Q₈	—	79	1	no	—
682	C₂×C₄⋊Q₈	—	79	1	no	—
683	#529	—	79	16	no	—
684	#529	C₂×D₇₉	1	16	yes	complemented
685	C₂×#126	—	79	2	no	—
686	C₂×#126	—	79	2	no	—
687	C₂×#126	—	79	2	no	—
688	C₂×#126	—	79	2	no	—
689	C₂×#126	—	79	2	no	—
690	C₂×#126	—	79	2	no	—
691	C₂×#126	—	79	2	no	—
692	C₂×#126	C₂×D₇₉	1	2	yes	complemented
693	C₂×#125	—	79	1	no	—
694	C₂×#125	—	79	2	no	—
695	C₂×#125	—	79	2	no	—
696	C₂×#125	—	79	2	no	—
697	C₂×#125	—	79	2	no	—
698	C₂×#125	—	79	2	no	—
699	C₂×#125	—	79	2	no	—
700	C₂×#125	—	79	2	no	—
701	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
702	C₂×#124	—	79	1	no	—
703	C₂×#124	—	79	2	no	—
704	C₂×#124	—	79	2	no	—
705	C₂×#124	C₂×D₇₉	1	1	yes	characteristic, complemented
706	#525	—	79	16	no	—
707	C₂×#123	—	79	2	no	—
708	C₂×#123	—	79	2	no	—
709	C₂×#123	—	79	2	no	—
710	C₂×#123	—	79	2	no	—
711	C₂×#123	—	79	2	no	—
712	C₂×#123	—	79	2	no	—
713	C₂×#123	C₂×D₇₉	1	2	yes	—
714	C₂×C₂²⋊Q₈	—	79	1	no	—
715	C₂×C₂²⋊Q₈	—	79	1	no	—
716	C₂×C₂²⋊Q₈	—	79	1	no	—
717	C₂×C₂²⋊Q₈	—	79	2	no	—
718	C₂×C₂²⋊Q₈	—	79	2	no	—
719	C₂×C₂²⋊Q₈	—	79	16	no	—
720	C₂×C₂²⋊Q₈	—	79	1	no	—
721	C₂×C₂²⋊Q₈	—	79	2	no	—
722	C₂×C₂²⋊Q₈	—	79	1	no	—
723	C₂×C₂²⋊Q₈	—	79	2	no	—
724	C₂×C₂²⋊Q₈	—	79	2	no	—
725	C₂×C₂²⋊Q₈	—	79	2	no	—
726	C₂×C₂²⋊Q₈	—	79	2	no	—
727	C₂×C₂²⋊Q₈	—	79	2	no	—
728	C₂×C₂²⋊Q₈	—	79	2	no	—
729	C₂×C₂²⋊Q₈	—	79	2	no	—
730	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
731	C₂×#121	—	79	1	no	—
732	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
733	C₂×#120	—	79	2	no	—
734	#520	—	79	16	no	—
735	#519	—	79	16	no	—
736	C₂×C₄×Q₈	—	79	1	no	—
737	C₂×C₄×Q₈	—	79	1	no	—
738	C₂×C₄×Q₈	—	79	2	no	—
739	C₂×C₄×Q₈	—	79	1	no	—
740	C₂×C₄×Q₈	—	79	2	no	—
741	C₂×C₄×Q₈	—	79	1	no	—
742	C₂×C₄×Q₈	—	79	2	no	—
743	C₂×C₄×Q₈	—	79	1	no	—
744	C₂×C₄×Q₈	—	79	2	no	—
745	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
746	C₂×C₄×D₄	—	79	1	no	—
747	C₂×C₄×D₄	—	79	2	no	—
748	C₂×C₄×D₄	—	79	2	no	—
749	C₂×C₄×D₄	—	79	2	no	—
750	C₂×C₄×D₄	—	79	2	no	—
751	C₂×C₄×D₄	—	79	2	no	—
752	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	—
753	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
754	C₂×#117	—	79	2	no	—
755	C₂×#117	—	79	1	no	—
756	C₂×#117	—	79	2	no	—
757	C₂×#117	—	79	2	no	—
758	C₂×#117	—	79	2	no	—
759	C₂×#117	—	79	2	no	—
760	C₂×#117	—	79	1	no	—
761	C₂×#117	—	79	1	no	—
762	C₂×#117	—	79	1	no	—
763	C₂×#117	—	79	1	no	—
764	C₂×#117	—	79	1	no	—
765	C₂×#117	—	79	1	no	—
766	C₂×#117	—	79	1	no	—
767	C₂×#117	—	79	1	no	—
768	C₂×#117	—	79	16	no	—
769	C₂×#117	—	79	2	no	—
770	C₂×#117	C₂×D₇₉	1	2	yes	complemented
771	C₂²×C₄⋊C₄	—	79	1	no	—
772	C₂²×C₄⋊C₄	—	79	1	no	—
773	C₂²×C₄⋊C₄	—	79	2	no	—
774	C₂²×C₄⋊C₄	—	79	1	no	—
775	C₂²×C₄⋊C₄	—	79	2	no	—
776	C₂²×C₂²⋊C₄	—	79	1	no	—
777	C₂²×C₂²⋊C₄	—	79	1	no	—
778	C₂²×C₂²⋊C₄	—	79	2	no	—
779	C₂²×C₄²	—	79	1	no	—
780	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic
781	C₂⁵	—	79	1	no	—
782	C₂×#41	—	79	8	no	—
783	C₂×#41	—	158	8	no	—
784	C₂²×Q₈	—	79	8	no	—
785	C₂²×Q₈	—	79	2	no	—
786	C₂²×Q₈	—	79	2	no	—
787	C₂²×Q₈	—	79	2	no	—
788	C₂²×Q₈	—	79	1	no	—
789	C₂²×Q₈	—	79	1	no	—
790	C₂²×Q₈	—	158	8	no	—
791	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
792	C₂²×D₄	—	79	2	no	—
793	C₂²×D₄	—	79	2	no	—
794	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
795	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
796	C₂³×C₄	—	79	1	no	—
797	C₂³×C₄	—	79	2	no	—
798	C₂³×C₄	—	79	2	no	—
799	C₂³×C₄	—	79	1	no	—
800	C₂³×C₄	—	79	1	no	—
801	C₂³×C₄	—	79	1	no	—
802	C₂³×C₄	—	79	2	no	—
803	C₂³×C₄	—	79	2	no	—
804	C₂³×C₄	—	79	1	no	—
805	C₂³×C₄	—	79	1	no	—
806	C₂³×C₄	—	79	1	no	—
807	C₂³×C₄	—	79	8	no	—
808	C₂³×C₄	—	158	8	no	—
809	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
810	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
811	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
812	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
813	C₄⋊Q₈	—	79	8	no	—
814	C₄⋊Q₈	—	79	8	no	—
815	C₄⋊Q₈	—	79	16	no	—
816	C₄⋊Q₈	—	79	8	no	—
817	C₄⋊Q₈	—	79	8	no	—
818	#126	—	79	16	no	—
819	#126	—	79	16	no	—
820	#126	—	79	16	no	—
821	#126	—	79	16	no	—
822	#126	—	79	16	no	—
823	#126	—	79	16	no	—
824	#126	—	79	16	no	—
825	#126	C₂²×D₇₉	1	16	yes	complemented
826	#125	—	79	8	no	—
827	#125	—	79	16	no	—
828	#125	—	79	16	no	—
829	#125	—	79	16	no	—
830	#125	—	79	16	no	—
831	#125	—	79	16	no	—
832	#125	—	79	16	no	—
833	#125	—	79	16	no	—
834	#125	C₂²×D₇₉	1	8	yes	complemented
835	#124	—	79	8	no	—
836	#124	—	79	16	no	—
837	#124	—	79	16	no	—
838	#124	C₂²×D₇₉	1	8	yes	complemented
839	#123	—	79	16	no	—
840	#123	—	79	16	no	—
841	#123	—	79	16	no	—
842	#123	—	79	16	no	—
843	#123	—	79	16	no	—
844	#123	—	79	16	no	—
845	#123	C₂²×D₇₉	1	16	yes	—
846	C₂²⋊Q₈	—	79	8	no	—
847	C₂²⋊Q₈	—	79	8	no	—
848	C₂²⋊Q₈	—	79	8	no	—
849	C₂²⋊Q₈	—	79	16	no	—
850	C₂²⋊Q₈	—	79	16	no	—
851	C₂²⋊Q₈	—	79	8	no	—
852	C₂²⋊Q₈	—	79	16	no	—
853	C₂²⋊Q₈	—	79	8	no	—
854	C₂²⋊Q₈	—	79	16	no	—
855	C₂²⋊Q₈	—	79	16	no	—
856	C₂²⋊Q₈	—	79	16	no	—
857	C₂²⋊Q₈	—	79	16	no	—
858	C₂²⋊Q₈	—	79	16	no	—
859	C₂²⋊Q₈	—	79	16	no	—
860	C₂²⋊Q₈	—	79	16	no	—
861	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	—
862	#121	—	79	8	no	—
863	#121	C₂²×D₇₉	1	8	yes	—
864	#120	—	79	16	no	—
865	C₄×Q₈	—	79	8	no	—
866	C₄×Q₈	—	79	8	no	—
867	C₄×Q₈	—	79	16	no	—
868	C₄×Q₈	—	79	8	no	—
869	C₄×Q₈	—	79	16	no	—
870	C₄×Q₈	—	79	8	no	—
871	C₄×Q₈	—	79	16	no	—
872	C₄×Q₈	—	79	8	no	—
873	C₄×Q₈	—	79	16	no	—
874	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
875	C₄×D₄	—	79	8	no	—
876	C₄×D₄	—	79	16	no	—
877	C₄×D₄	—	79	16	no	—
878	C₄×D₄	—	79	16	no	—
879	C₄×D₄	—	79	16	no	—
880	C₄×D₄	—	79	16	no	—
881	C₄×D₄	C₂²×D₇₉	1	16	yes	—
882	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
883	#117	—	79	16	no	—
884	#117	—	79	8	no	—
885	#117	—	79	16	no	—
886	#117	—	79	16	no	—
887	#117	—	79	16	no	—
888	#117	—	79	16	no	—
889	#117	—	79	8	no	—
890	#117	—	79	8	no	—
891	#117	—	79	8	no	—
892	#117	—	79	8	no	—
893	#117	—	79	8	no	—
894	#117	—	79	8	no	—
895	#117	—	79	8	no	—
896	#117	—	79	8	no	—
897	#117	—	79	16	no	—
898	#117	C₂²×D₇₉	1	16	yes	complemented
899	C₂×C₄⋊C₄	—	79	1	no	—
900	C₂×C₄⋊C₄	—	79	2	no	—
901	C₂×C₄⋊C₄	—	79	1	no	—
902	C₂×C₄⋊C₄	—	79	1	no	—
903	C₂×C₄⋊C₄	—	79	1	no	—
904	C₂×C₄⋊C₄	—	79	1	no	—
905	C₂×C₄⋊C₄	—	79	1	no	—
906	C₂×C₄⋊C₄	—	79	1	no	—
907	C₂×C₄⋊C₄	—	79	1	no	—
908	C₂×C₄⋊C₄	—	79	8	no	—
909	C₂×C₄⋊C₄	—	79	8	no	—
910	C₂×C₄⋊C₄	—	79	2	no	—
911	C₂×C₄⋊C₄	—	79	1	no	—
912	C₂×C₄⋊C₄	—	79	2	no	—
913	C₂×C₄⋊C₄	—	79	2	no	—
914	C₂×C₄⋊C₄	—	79	16	no	—
915	C₂×C₄⋊C₄	—	79	2	no	—
916	C₂×C₄⋊C₄	—	79	2	no	—
917	C₂×C₄⋊C₄	—	79	1	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	2	no	—
924	C₂×C₄⋊C₄	—	79	2	no	—
925	C₂×C₄⋊C₄	—	79	2	no	—
926	C₂×C₄⋊C₄	—	79	2	no	—
927	C₂×C₄⋊C₄	—	79	2	no	—
928	C₂×C₄⋊C₄	—	79	2	no	—
929	C₂×C₄⋊C₄	—	79	2	no	—
930	C₂×C₄⋊C₄	—	79	2	no	—
931	C₂×C₄⋊C₄	—	79	8	no	—
932	C₂×C₄⋊C₄	—	79	16	no	—
933	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
934	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
937	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
938	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
939	C₂×C₂²⋊C₄	—	79	2	no	—
940	C₂×C₂²⋊C₄	—	79	2	no	—
941	C₂×C₂²⋊C₄	—	79	2	no	—
942	C₂×C₂²⋊C₄	—	79	2	no	—
943	C₂×C₂²⋊C₄	—	79	2	no	—
944	C₂×C₂²⋊C₄	—	79	2	no	—
945	C₂×C₂²⋊C₄	—	79	1	no	—
946	C₂×C₂²⋊C₄	—	79	1	no	—
947	C₂×C₂²⋊C₄	—	79	1	no	—
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	1	no	—
952	C₂×C₂²⋊C₄	—	79	1	no	—
953	C₂×C₂²⋊C₄	—	79	8	no	—
954	C₂×C₂²⋊C₄	—	79	8	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	16	no	—
960	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
965	C₂×C₄²	—	79	1	no	—
966	C₂×C₄²	—	79	1	no	—
967	C₂×C₄²	—	79	2	no	—
968	C₂×C₄²	—	79	2	no	—
969	C₂×C₄²	—	79	2	no	—
970	C₂×C₄²	—	79	2	no	—
971	C₂×C₄²	—	79	2	no	—
972	C₂×C₄²	—	79	1	no	—
973	C₂×C₄²	—	79	1	no	—
974	C₂×C₄²	—	79	8	no	—
975	C₂×C₄²	—	79	2	no	—
976	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
979	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
980	C₂×C₄²	C₂²×D₇₉	1	8	yes	—
981	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
982	C₂⁴	—	316	2	no	—
983	C₂⁴	—	79	4	no	—
984	C₂⁴	—	79	1	no	—
985	C₂⁴	—	79	1	no	—
986	C₂⁴	—	158	4	no	—
987	C₂⁴	—	158	4	no	—
988	C₂⁴	C₂³×D₇₉	1	2	yes	—
989	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
990	#41	—	158	32	no	—
991	C₂×Q₈	—	2	4	no	—
992	C₂×Q₈	—	316	4	no	—
993	C₂×Q₈	—	316	4	no	—
994	C₂×Q₈	—	79	8	no	—
995	C₂×Q₈	—	79	8	no	—
996	C₂×Q₈	—	79	8	no	—
997	C₂×Q₈	—	79	4	no	—
998	C₂×Q₈	—	79	4	no	—
999	C₂×Q₈	—	158	8	no	—
1000	C₂×Q₈	—	158	32	no	—
1001	C₂×Q₈	—	158	4	no	—
1002	C₂×Q₈	—	158	4	no	—
1003	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1004	C₂×D₄	—	2	8	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	316	4	no	—
1007	C₂×D₄	—	79	8	no	—
1008	C₂×D₄	—	79	8	no	—
1009	C₂×D₄	—	158	8	no	—
1010	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1011	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	2	4	no	—
1014	C₂²×C₄	—	4	4	no	—
1015	C₂²×C₄	—	4	2	no	—
1016	C₂²×C₄	—	316	4	no	—
1017	C₂²×C₄	—	316	4	no	—
1018	C₂²×C₄	—	316	2	no	—
1019	C₂²×C₄	—	79	4	no	—
1020	C₂²×C₄	—	79	8	no	—
1021	C₂²×C₄	—	79	8	no	—
1022	C₂²×C₄	—	79	1	no	—
1023	C₂²×C₄	—	79	8	no	—
1024	C₂²×C₄	—	79	4	no	—
1025	C₂²×C₄	—	79	4	no	—
1026	C₂²×C₄	—	79	4	no	—
1027	C₂²×C₄	—	79	8	no	—
1028	C₂²×C₄	—	79	1	no	—
1029	C₂²×C₄	—	79	1	no	—
1030	C₂²×C₄	—	79	2	no	—
1031	C₂²×C₄	—	79	1	no	—
1032	C₂²×C₄	—	79	1	no	—
1033	C₂²×C₄	—	79	2	no	—
1034	C₂²×C₄	—	79	2	no	—
1035	C₂²×C₄	—	79	2	no	—
1036	C₂²×C₄	—	79	1	no	—
1037	C₂²×C₄	—	79	8	no	—
1038	C₂²×C₄	—	79	4	no	—
1039	C₂²×C₄	—	79	4	no	—
1040	C₂²×C₄	—	79	4	no	—
1041	C₂²×C₄	—	158	4	no	—
1042	C₂²×C₄	—	158	32	no	—
1043	C₂²×C₄	—	158	4	no	—
1044	C₂²×C₄	—	158	8	no	—
1045	C₂²×C₄	—	158	4	no	—
1046	C₂²×C₄	—	158	8	no	—
1047	C₂²×C₄	—	158	4	no	—
1048	C₂²×C₄	—	158	4	no	—
1049	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1050	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1051	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1054	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1055	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1056	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1060	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1061	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1062	C₄⋊C₄	—	79	4	no	—
1063	C₄⋊C₄	—	79	8	no	—
1064	C₄⋊C₄	—	79	4	no	—
1065	C₄⋊C₄	—	79	4	no	—
1066	C₄⋊C₄	—	79	4	no	—
1067	C₄⋊C₄	—	79	4	no	—
1068	C₄⋊C₄	—	79	4	no	—
1069	C₄⋊C₄	—	79	4	no	—
1070	C₄⋊C₄	—	79	4	no	—
1071	C₄⋊C₄	—	79	8	no	—
1072	C₄⋊C₄	—	79	8	no	—
1073	C₄⋊C₄	—	79	8	no	—
1074	C₄⋊C₄	—	79	8	no	—
1075	C₄⋊C₄	—	79	8	no	—
1076	C₄⋊C₄	—	79	8	no	—
1077	C₄⋊C₄	—	79	8	no	—
1078	C₄⋊C₄	—	79	8	no	—
1079	C₄⋊C₄	—	79	8	no	—
1080	C₄⋊C₄	—	79	8	no	—
1081	C₄⋊C₄	—	79	8	no	—
1082	C₄⋊C₄	—	79	4	no	—
1083	C₄⋊C₄	—	79	8	no	—
1084	C₄⋊C₄	—	79	4	no	—
1085	C₄⋊C₄	—	79	8	no	—
1086	C₄⋊C₄	—	79	8	no	—
1087	C₄⋊C₄	—	79	8	no	—
1088	C₄⋊C₄	—	79	8	no	—
1089	C₄⋊C₄	—	79	8	no	—
1090	C₄⋊C₄	—	79	8	no	—
1091	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1092	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1093	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1094	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1095	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1096	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1097	C₂²⋊C₄	—	79	8	no	—
1098	C₂²⋊C₄	—	79	8	no	—
1099	C₂²⋊C₄	—	79	8	no	—
1100	C₂²⋊C₄	—	79	8	no	—
1101	C₂²⋊C₄	—	79	8	no	—
1102	C₂²⋊C₄	—	79	8	no	—
1103	C₂²⋊C₄	—	79	4	no	—
1104	C₂²⋊C₄	—	79	4	no	—
1105	C₂²⋊C₄	—	79	4	no	—
1106	C₂²⋊C₄	—	79	4	no	—
1107	C₂²⋊C₄	—	79	4	no	—
1108	C₂²⋊C₄	—	79	4	no	—
1109	C₂²⋊C₄	—	79	4	no	—
1110	C₂²⋊C₄	—	79	4	no	—
1111	C₂²⋊C₄	—	79	8	no	—
1112	C₂²⋊C₄	—	79	8	no	—
1113	C₂²⋊C₄	—	79	8	no	—
1114	C₂²⋊C₄	—	79	8	no	—
1115	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1116	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1117	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1118	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1119	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1120	C₄²	—	79	4	no	—
1121	C₄²	—	79	4	no	—
1122	C₄²	—	79	4	no	—
1123	C₄²	—	79	4	no	—
1124	C₄²	—	79	8	no	—
1125	C₄²	—	79	8	no	—
1126	C₄²	—	79	8	no	—
1127	C₄²	—	79	8	no	—
1128	C₄²	—	79	8	no	—
1129	C₄²	—	79	8	no	—
1130	C₄²	C₂³×D₇₉	1	4	yes	—
1131	C₄²	C₂³×D₇₉	1	4	yes	—
1132	C₄²	C₂³×D₇₉	1	4	yes	—
1133	C₄²	C₂³×D₇₉	1	4	yes	—
1134	C₄²	C₂³×D₇₉	1	8	yes	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	2	4	no	—
1138	C₂³	—	2	4	no	—
1139	C₂³	—	2	4	no	—
1140	C₂³	—	316	16	no	—
1141	C₂³	—	316	4	no	—
1142	C₂³	—	79	2	no	—
1143	C₂³	—	79	4	no	—
1144	C₂³	—	79	2	no	—
1145	C₂³	—	158	8	no	—
1146	C₂³	—	158	8	no	—
1147	C₂³	—	158	2	no	—
1148	C₂³	—	158	2	no	—
1149	C₂³	—	158	2	no	—
1150	C₂³	—	158	2	no	—
1151	C₂³	—	158	2	no	—
1152	C₂³	#14579208	1	4	yes	—
1153	C₂³	C₂⁴×D₇₉	1	4	yes	—
1154	C₂³	C₂⁴×D₇₉	1	2	yes	—
1155	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1156	Q₈	—	2	8	no	—
1157	Q₈	—	316	8	no	—
1158	Q₈	—	316	8	no	—
1159	Q₈	—	158	16	no	—
1160	Q₈	—	158	8	no	—
1161	Q₈	—	158	8	no	—
1162	D₄	—	2	16	no	—
1163	D₄	—	2	8	no	—
1164	D₄	—	316	8	no	—
1165	D₄	—	158	16	no	—
1166	C₂×C₄	—	2	8	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	4	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	8	no	—
1176	C₂×C₄	—	4	8	no	—
1177	C₂×C₄	—	4	4	no	—
1178	C₂×C₄	—	316	8	no	—
1179	C₂×C₄	—	316	8	no	—
1180	C₂×C₄	—	316	4	no	—
1181	C₂×C₄	—	79	2	no	—
1182	C₂×C₄	—	79	4	no	—
1183	C₂×C₄	—	79	16	no	—
1184	C₂×C₄	—	79	2	no	—
1185	C₂×C₄	—	79	2	no	—
1186	C₂×C₄	—	79	4	no	—
1187	C₂×C₄	—	79	2	no	—
1188	C₂×C₄	—	79	4	no	—
1189	C₂×C₄	—	79	2	no	—
1190	C₂×C₄	—	79	4	no	—
1191	C₂×C₄	—	79	4	no	—
1192	C₂×C₄	—	79	2	no	—
1193	C₂×C₄	—	158	8	no	—
1194	C₂×C₄	—	158	8	no	—
1195	C₂×C₄	—	158	16	no	—
1196	C₂×C₄	—	158	8	no	—
1197	C₂×C₄	—	158	16	no	—
1198	C₂×C₄	—	158	8	no	—
1199	C₂×C₄	—	158	2	no	—
1200	C₂×C₄	—	158	2	no	—
1201	C₂×C₄	—	158	2	no	—
1202	C₂×C₄	—	158	4	no	—
1203	C₂×C₄	—	158	2	no	—
1204	C₂×C₄	—	158	4	no	—
1205	C₂×C₄	—	158	2	no	—
1206	C₂×C₄	—	158	4	no	—
1207	C₂×C₄	—	158	4	no	—
1208	C₂×C₄	—	158	8	no	—
1209	C₂×C₄	#41×D₇₉	1	4	yes	—
1210	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1211	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1212	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1213	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1214	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1215	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1216	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1217	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1218	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1219	C₂²	—	2	8	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	2	4	no	—
1223	C₂²	—	2	4	no	—
1224	C₂²	—	2	4	no	—
1225	C₂²	—	4	8	no	—
1226	C₂²	—	316	16	no	—
1227	C₂²	—	316	4	no	—
1228	C₂²	—	79	4	no	—
1229	C₂²	—	158	2	no	—
1230	C₂²	—	158	2	no	—
1231	C₂²	—	158	2	no	—
1232	C₂²	—	158	8	no	—
1233	C₂²	—	158	2	no	—
1234	C₂²	—	158	2	no	—
1235	C₂²	C₂×#41×D₇₉	1	2	yes	—
1236	C₂²	C₂×#14579208	1	4	yes	—
1237	C₂²	C₂×#14579208	1	2	yes	—
1238	C₂²	#19099399	1	2	yes	—
1239	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1240	C₄	—	2	2	no	—
1241	C₄	—	2	4	no	—
1242	C₄	—	2	2	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	4	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	2	4	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	79	4	no	—
1249	C₄	—	158	2	no	—
1250	C₄	—	158	4	no	—
1251	C₄	—	158	4	no	—
1252	C₄	—	158	2	no	—
1253	C₄	—	158	2	no	—
1254	C₄	—	158	2	no	—
1255	C₄	—	158	4	no	—
1256	C₄	—	158	2	no	—
1257	C₄	—	158	4	no	—
1258	C₄	C₂×#41×D₇₉	1	4	yes	—
1259	C₂	—	2	4	no	—
1260	C₂	—	4	4	no	—
1261	C₂	—	316	2	no	—
1262	C₂	—	158	4	no	—
1263	C₂	#23777140	1	4	yes	direct product factor
1264	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1265	C₂	C₂²×#14579208	1	1	yes	characteristic
1266	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#529×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
prime radical	C₂×#19099073	C₂
hypercenter	C₂×#529	D₇₉
hypocenter	C₇₉	C₂×#3495
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #23777140	C₂	direct (N × H)
2. C₂×#19099280	C₂	semidirect
3. C₂×#19099272	C₂	semidirect
4. C₂×#19099252	C₂	semidirect
5. C₂×#19099250	C₂	semidirect
6. C₂×#19099249	C₂	semidirect
7. C₂×#19099246	C₂	semidirect
8. C₂×#19099242	C₂	semidirect
9. C₂×#19099236	C₂	semidirect
10. C₂×#19099193	C₂	semidirect
11. C₂×#19099182	C₂	semidirect
12. C₂×#19099178	C₂	semidirect
13. C₂×#19099176	C₂	semidirect
14. C₂×#19099171	C₂	semidirect
15. C₂×#19099133	C₂	semidirect
16. C₂×#19099120	C₂	semidirect
17. C₂×#19099115	C₂	semidirect
18. C₂×#19099094	C₂	semidirect
20. C₂×C₂²⋊Q₈×D₇₉	C₂	semidirect
21. C₂×#19099042	C₂	semidirect
22. C₂×#19099039	C₂	semidirect
23. C₂²×#14579118	C₂	semidirect
24. C₂×#529×C₇₉	C₂	semidirect
28. #19099280	C₂²	semidirect
29. #19099272	C₂²	semidirect
30. #19099252	C₂²	semidirect
31. #19099250	C₂²	semidirect
32. #19099249	C₂²	semidirect
33. #19099246	C₂²	semidirect
34. #19099242	C₂²	semidirect
35. #19099236	C₂²	semidirect
36. #19099193	C₂²	semidirect
37. #19099182	C₂²	semidirect
38. #19099178	C₂²	semidirect
39. #19099176	C₂²	semidirect
40. #19099171	C₂²	semidirect
41. #19099133	C₂²	semidirect
42. #19099120	C₂²	semidirect
43. #19099115	C₂²	semidirect
44. C₂×#14579161	C₂²	semidirect
45. C₂×#14579161	C₂²	semidirect
46. C₂×#14579160	C₂²	semidirect
47. C₂×#14579160	C₂²	semidirect
48. C₂×#14579159	C₂²	semidirect
49. #19099094	C₂²	semidirect
54. C₂×#14579154	C₂²	semidirect
55. C₂×#14579154	C₂²	semidirect
56. C₂×#14579154	C₂²	semidirect
57. C₂×#14579153	C₂²	semidirect
58. C₂×#14579153	C₂²	semidirect
59. C₂×#14579152	C₂²	semidirect
60. C₂×#14579152	C₂²	semidirect
61. C₂×#14579152	C₂²	semidirect
62. C₂×#14579151	C₂²	semidirect
63. C₂×#14579151	C₂²	semidirect
64. C₂×#14579151	C₂²	semidirect
65. C₂×#14579148	C₂²	semidirect
81. C₂×#14579140	C₂²	semidirect
86. C₂×#14579138	C₂²	semidirect
87. C₂×#14579138	C₂²	semidirect
88. C₂×#14579138	C₂²	semidirect
90. C₂²⋊Q₈×D₇₉	C₂²	semidirect
93. #19099042	C₂²	semidirect
94. #19099039	C₂²	semidirect
95. C₂×Q₈×Dic₇₉	C₂²	semidirect
96. C₂×C₄×Dic₁₅₈	C₂²	semidirect
97. C₂×C₄×Dic₁₅₈	C₂²	semidirect
98. C₂×C₄×Dic₁₅₈	C₂²	semidirect
99. C₂×C₄×Dic₁₅₈	C₂²	semidirect
100. C₂×#14579126	C₂²	semidirect
101. C₂×#14579126	C₂²	semidirect
102. C₂×#14579126	C₂²	semidirect
103. C₂×#14579126	C₂²	semidirect
106. C₂×D₄×Dic₇₉	C₂²	semidirect
122. C₂×#14579118	C₂²	semidirect
124. C₂×#14579117	C₂²	semidirect
125. C₂×#14579117	C₂²	semidirect
128. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
135. #529×C₇₉	C₂²	semidirect
136. C₂×#126×C₇₉	C₂²	semidirect
137. C₂×#125×C₇₉	C₂²	semidirect
138. C₂×#124×C₇₉	C₂²	semidirect
142. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
144. C₂×C₄×D₄×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
172. #14579161	C₂³	semidirect
173. #14579161	C₂³	semidirect
174. #14579160	C₂³	semidirect
175. #14579160	C₂³	semidirect
176. #14579159	C₂³	semidirect
181. #14579154	C₂³	semidirect
182. #14579154	C₂³	semidirect
183. #14579154	C₂³	semidirect
184. #14579153	C₂³	semidirect
185. #14579153	C₂³	semidirect
186. #14579152	C₂³	semidirect
187. #14579152	C₂³	semidirect
188. #14579152	C₂³	semidirect
189. #14579151	C₂³	semidirect
190. #14579151	C₂³	semidirect
191. #14579151	C₂³	semidirect
192. #14579148	C₂³	semidirect
207. #14579140	C₂³	semidirect
212. #14579138	C₂³	semidirect
213. #14579138	C₂³	semidirect
214. #14579138	C₂³	semidirect
218. Q₈×Dic₇₉	C₂³	semidirect
219. C₄×Dic₁₅₈	C₂³	semidirect
220. C₄×Dic₁₅₈	C₂³	semidirect
221. C₄×Dic₁₅₈	C₂³	semidirect
222. C₄×Dic₁₅₈	C₂³	semidirect
223. #14579126	C₂³	semidirect
224. #14579126	C₂³	semidirect
225. #14579126	C₂³	semidirect
226. #14579126	C₂³	semidirect
229. D₄×Dic₇₉	C₂³	semidirect
246. #14579117	C₂³	semidirect
247. #14579117	C₂³	semidirect
279. C₂×Dic₇₉⋊C₄	C₂³	semidirect
321. #126×C₇₉	C₂³	semidirect
322. #125×C₇₉	C₂³	semidirect
323. #124×C₇₉	C₂³	semidirect
327. C₄×Q₈×C₇₉	C₂³	semidirect
329. C₄×D₄×C₇₉	C₂³	semidirect
330. #117×C₇₉	C₂³	semidirect
628. C₂×C₇₉	#3495	semidirect
652. C₂×#529	D₇₉	semidirect
658. C₇₉	C₂×#3495	semidirect
684. #529	C₂×D₇₉	semidirect
692. C₂×#126	C₂×D₇₉	semidirect
701. C₂×#125	C₂×D₇₉	semidirect
705. C₂×#124	C₂×D₇₉	semidirect
745. C₂×C₄×Q₈	C₂×D₇₉	semidirect
753. C₂×C₄×D₄	C₂×D₇₉	semidirect
770. C₂×#117	C₂×D₇₉	semidirect
825. #126	C₂²×D₇₉	semidirect
834. #125	C₂²×D₇₉	semidirect
838. #124	C₂²×D₇₉	semidirect
874. C₄×Q₈	C₂²×D₇₉	semidirect
882. C₄×D₄	C₂²×D₇₉	semidirect
898. #117	C₂²×D₇₉	semidirect
1263. C₂	#23777140	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777140	2
C₂×#19099280	2
C₂×#19099272	2
C₂×#19099252	2
C₂×#19099250	2
C₂×#19099249	2
C₂×#19099246	2
C₂×#19099242	2
C₂×#19099236	2
C₂×#19099193	2
C₂×#19099182	2
C₂×#19099178	2
C₂×#19099176	2
C₂×#19099171	2
C₂×#19099133	2
C₂×#19099120	2
C₂×#19099115	2
C₂×#19099094	2
C₂×#19099073	2
C₂×C₂²⋊Q₈×D₇₉	2
C₂×#19099042	2
C₂×#19099039	2
C₂²×#14579118	2
C₂×#529×C₇₉	2
C₂×#3495	79

Subgroups — C2×#23777140 #35196687

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777140 #35196687