Subgroups — C₂×#23777457 #35196388

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	#23777457	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099284	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099282	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099272	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099265	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099256	C₂	1	2	yes	maximal, complemented
7	C₂×#19099253	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099250	C₂	1	2	yes	maximal, complemented
9	C₂×#19099244	C₂	1	2	yes	maximal, complemented
10	C₂×#19099239	C₂	1	2	yes	maximal, complemented
11	C₂×#19099212	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099207	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099180	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099173	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099157	C₂	1	2	yes	maximal, complemented
16	C₂×#19099148	C₂	1	2	yes	maximal, complemented
17	C₂×#19099095	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099094	C₂	1	2	yes	maximal, complemented
19	C₂×#19099092	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#14579154	C₂	1	2	yes	maximal, complemented
21	C₂×#19099046	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099038	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×#11929623	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#546×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929623	C₂²	1	1	yes	characteristic
26	#19099284	C₂²	1	16	yes	complemented
27	#19099282	C₂²	1	16	yes	complemented
28	#19099272	C₂²	1	16	yes	complemented
29	#19099265	C₂²	1	16	yes	complemented
30	#19099256	C₂²	1	32	yes	complemented
31	#19099253	C₂²	1	16	yes	complemented
32	#19099250	C₂²	1	32	yes	complemented
33	#19099244	C₂²	1	32	yes	complemented
34	#19099239	C₂²	1	32	yes	complemented
35	#19099212	C₂²	1	16	yes	complemented
36	#19099207	C₂²	1	16	yes	complemented
37	#19099180	C₂²	1	16	yes	complemented
38	#19099173	C₂²	1	16	yes	complemented
39	#19099157	C₂²	1	32	yes	complemented
40	#19099148	C₂²	1	32	yes	complemented
41	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
42	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
43	#19099095	C₂²	1	16	yes	complemented
44	#19099094	C₂²	1	32	yes	complemented
45	#19099092	C₂²	1	16	yes	complemented
46	C₂×#14579156	C₂²	1	2	yes	complemented
47	C₂×#14579154	C₂²	1	2	yes	—
48	C₂×#14579154	C₂²	1	2	yes	—
49	C₂×#14579154	C₂²	1	2	yes	—
50	C₂×#14579154	C₂²	1	1	yes	characteristic
51	C₂×#14579154	C₂²	1	2	yes	—
52	C₂×#14579154	C₂²	1	2	yes	complemented
53	C₂×#14579154	C₂²	1	2	yes	complemented
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×#14579154	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579154	C₂²	1	32	yes	complemented
59	C₂×#14579153	C₂²	1	1	yes	characteristic, 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×#14579151	C₂²	1	2	yes	complemented
65	C₂×#14579148	C₂²	1	1	yes	characteristic
66	C₂×#14579148	C₂²	1	1	yes	characteristic
67	C₂×#14579148	C₂²	1	2	yes	complemented
68	C₂×#14579147	C₂²	1	2	yes	—
69	C₂×#14579145	C₂²	1	2	yes	complemented
70	C₂×#14579144	C₂²	1	2	yes	complemented
71	C₂×#14579143	C₂²	1	1	yes	characteristic
72	C₂×#14579143	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579143	C₂²	1	2	yes	complemented
74	C₂×#14579142	C₂²	1	2	yes	—
75	C₂×#14579142	C₂²	1	2	yes	—
76	C₂×#14579142	C₂²	1	2	yes	complemented
77	C₂×#14579142	C₂²	1	2	yes	complemented
78	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14579140	C₂²	1	1	yes	characteristic
80	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14579140	C₂²	1	2	yes	complemented
82	C₂×#14579138	C₂²	1	2	yes	complemented
83	C₂×#14579138	C₂²	1	2	yes	complemented
84	C₂×#14579138	C₂²	1	2	yes	complemented
85	C₂×#14579138	C₂²	1	2	yes	complemented
86	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14579133	C₂²	1	2	yes	—
88	C₂×#14579133	C₂²	1	2	yes	complemented
89	C₂×#14579133	C₂²	1	2	yes	complemented
90	C₂×#14579132	C₂²	1	1	yes	characteristic
91	C₂×#14579132	C₂²	1	1	yes	characteristic
92	C₂×#14579130	C₂²	1	2	yes	—
93	#19099046	C₂²	1	16	yes	complemented
94	#19099038	C₂²	1	16	yes	complemented
95	C₄×#11929623	C₂²	1	16	yes	complemented
96	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
97	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
98	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
100	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14579126	C₂²	1	2	yes	complemented
102	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
103	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
104	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
105	C₂×D₄×Dic₇₉	C₂²	1	2	yes	—
106	C₂×D₄×Dic₇₉	C₂²	1	2	yes	—
107	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
108	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
109	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
110	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
111	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
112	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
113	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
114	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
115	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
116	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
117	C₂×#14579120	C₂²	1	1	yes	characteristic
118	C₂×#14579120	C₂²	1	1	yes	characteristic
119	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14579120	C₂²	1	2	yes	complemented
121	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14579117	C₂²	1	2	yes	complemented
123	C₂×#14579117	C₂²	1	2	yes	complemented
124	C₂×#14579117	C₂²	1	2	yes	complemented
125	C₂×#14579117	C₂²	1	2	yes	complemented
126	C₂²×C₄⋊Dic₇₉	C₂²	1	2	yes	complemented
127	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
128	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
129	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	—
131	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	—
132	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	—
133	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic
136	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic
137	#546×C₇₉	C₂²	1	16	yes	complemented
138	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
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×#121×C₇₉	C₂²	1	2	yes	—
143	C₂×#120×C₇₉	C₂²	1	2	yes	—
144	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
145	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
146	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	2	yes	—
147	C₂×#11929623	—	2	8	no	—
148	C₂×#11929623	C₂³	1	8	yes	—
149	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
150	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
151	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
152	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
153	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
155	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
156	C₂³×Dic₇₉	C₂³	1	2	yes	—
157	C₂³×Dic₇₉	C₂³	1	2	yes	—
158	C₂³×Dic₇₉	C₂³	1	2	yes	—
159	C₂³×Dic₇₉	C₂³	1	2	yes	—
160	C₂³×Dic₇₉	C₂³	1	2	yes	—
161	C₂³×Dic₇₉	C₂³	1	2	yes	—
162	C₂³×Dic₇₉	C₂³	1	2	yes	—
163	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
166	#14579160	C₂³	1	8	yes	complemented
167	#14579159	C₂³	1	8	yes	complemented
168	#14579156	C₂³	1	16	yes	complemented
169	#14579154	C₂³	1	16	yes	—
170	#14579154	C₂³	1	16	yes	—
171	#14579154	C₂³	1	16	yes	—
172	#14579154	C₂³	1	16	yes	—
173	#14579154	C₂³	1	8	yes	—
174	#14579154	C₂³	1	16	yes	complemented
175	#14579154	C₂³	1	16	yes	complemented
176	#14579154	C₂³	1	16	yes	complemented
177	#14579154	C₂³	1	16	yes	complemented
178	#14579154	C₂³	1	16	yes	complemented
179	#14579154	C₂³	1	8	yes	complemented
180	#14579153	C₂³	1	8	yes	complemented
181	#14579152	C₂³	1	16	yes	complemented
182	#14579152	C₂³	1	8	yes	complemented
183	#14579152	C₂³	1	8	yes	complemented
184	#14579151	C₂³	1	16	yes	complemented
185	#14579151	C₂³	1	16	yes	complemented
186	#14579148	C₂³	1	8	yes	—
187	#14579148	C₂³	1	8	yes	—
188	#14579148	C₂³	1	16	yes	complemented
189	#14579147	C₂³	1	16	yes	—
190	#14579145	C₂³	1	16	yes	complemented
191	#14579144	C₂³	1	16	yes	complemented
192	#14579143	C₂³	1	8	yes	—
193	#14579143	C₂³	1	16	yes	complemented
194	#14579143	C₂³	1	8	yes	complemented
195	#14579142	C₂³	1	16	yes	—
196	#14579142	C₂³	1	16	yes	—
197	#14579142	C₂³	1	16	yes	complemented
198	#14579142	C₂³	1	16	yes	complemented
199	#14579141	C₂³	1	8	yes	complemented
200	#14579140	C₂³	1	8	yes	—
201	#14579140	C₂³	1	8	yes	complemented
202	#14579140	C₂³	1	16	yes	complemented
203	#14579138	C₂³	1	16	yes	complemented
204	#14579138	C₂³	1	16	yes	complemented
205	#14579138	C₂³	1	16	yes	complemented
206	#14579138	C₂³	1	16	yes	complemented
207	#14579137	C₂³	1	8	yes	complemented
208	#14579133	C₂³	1	16	yes	—
209	#14579133	C₂³	1	16	yes	complemented
210	#14579133	C₂³	1	16	yes	complemented
211	#14579132	C₂³	1	8	yes	—
212	#14579132	C₂³	1	8	yes	—
213	#14579130	C₂³	1	16	yes	—
214	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
215	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
216	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
217	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
218	#14579126	C₂³	1	8	yes	complemented
219	#14579126	C₂³	1	16	yes	complemented
220	D₄×Dic₇₉	C₂³	1	16	yes	—
221	D₄×Dic₇₉	C₂³	1	8	yes	—
222	D₄×Dic₇₉	C₂³	1	8	yes	—
223	D₄×Dic₇₉	C₂³	1	8	yes	—
224	D₄×Dic₇₉	C₂³	1	16	yes	—
225	D₄×Dic₇₉	C₂³	1	8	yes	—
226	D₄×Dic₇₉	C₂³	1	8	yes	—
227	D₄×Dic₇₉	C₂³	1	16	yes	complemented
228	D₄×Dic₇₉	C₂³	1	16	yes	complemented
229	D₄×Dic₇₉	C₂³	1	16	yes	complemented
230	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
231	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
232	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
233	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
234	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
235	#14579120	C₂³	1	8	yes	—
236	#14579120	C₂³	1	8	yes	—
237	#14579120	C₂³	1	8	yes	complemented
238	#14579120	C₂³	1	16	yes	complemented
239	#14579119	C₂³	1	8	yes	complemented
240	#14579117	C₂³	1	16	yes	complemented
241	#14579117	C₂³	1	16	yes	complemented
242	#14579117	C₂³	1	16	yes	complemented
243	#14579117	C₂³	1	16	yes	complemented
244	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
246	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
249	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₇₉	C₂³	1	16	yes	complemented
257	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
258	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
261	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
262	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
263	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
273	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
274	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
275	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	—
276	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	—
277	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	—
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	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×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
292	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
303	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
304	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
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	1	yes	characteristic
309	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₇₉	C₂³	1	16	yes	complemented
311	C₄²×D₇₉	C₂³	1	8	yes	complemented
312	C₂⁵×C₇₉	C₂³	1	2	yes	—
313	C₂×#41×C₇₉	—	2	8	no	—
314	C₂×#41×C₇₉	C₂³	1	8	yes	—
315	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
316	C₂²×D₄×C₇₉	—	2	8	no	—
317	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
318	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
323	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
325	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
328	#124×C₇₉	C₂³	1	8	yes	—
329	#123×C₇₉	C₂³	1	16	yes	—
330	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	—
331	#121×C₇₉	C₂³	1	8	yes	—
332	#121×C₇₉	C₂³	1	16	yes	—
333	#120×C₇₉	C₂³	1	16	yes	—
334	C₄×D₄×C₇₉	C₂³	1	8	yes	—
335	C₄×D₄×C₇₉	C₂³	1	8	yes	—
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	16	yes	—
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
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	1	yes	characteristic
348	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
349	#11929623	—	2	32	no	—
350	C₂×Dic₁₅₈	—	2	4	no	—
351	C₂×Dic₁₅₈	—	4	2	no	—
352	C₂×Dic₁₅₈	—	4	4	no	—
353	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
354	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
355	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
356	C₂×C₂²⋊D₇₉	—	2	8	no	—
357	C₂×C₂²⋊D₇₉	—	4	4	no	—
358	C₂×C₂²⋊D₇₉	—	4	2	no	—
359	C₂×C₂²⋊D₇₉	—	4	2	no	—
360	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
363	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
364	C₂²×Dic₇₉	—	2	8	no	—
365	C₂²×Dic₇₉	—	4	4	no	—
366	C₂²×Dic₇₉	—	4	4	no	—
367	C₂²×Dic₇₉	—	4	4	no	—
368	C₂²×Dic₇₉	—	4	4	no	—
369	C₂²×Dic₇₉	—	4	4	no	—
370	C₂²×Dic₇₉	—	4	4	no	—
371	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
373	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
374	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
377	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
378	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
383	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
384	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
385	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
386	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
387	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
388	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
389	C₂×C₄×D₇₉	—	2	4	no	—
390	C₂×C₄×D₇₉	—	4	2	no	—
391	C₂×C₄×D₇₉	—	4	2	no	—
392	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
393	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
394	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
395	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
396	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
397	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
398	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
399	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
400	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
401	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
402	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
403	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
404	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
405	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
406	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
407	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
408	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
409	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
410	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
411	Dic₇₉⋊C₄	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	8	yes	—
417	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
418	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
419	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
420	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
421	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
422	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
423	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
424	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
425	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
426	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
427	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
428	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
429	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
430	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
431	C₂²⋊Dic₇₉	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	4	yes	—
437	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
438	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
439	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
440	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
441	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
442	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
443	C₄×Dic₇₉	C₂⁴	1	4	yes	—
444	C₄×Dic₇₉	C₂⁴	1	4	yes	—
445	C₄×Dic₇₉	C₂⁴	1	4	yes	—
446	C₄×Dic₇₉	C₂⁴	1	8	yes	—
447	C₄×Dic₇₉	C₂⁴	1	8	yes	—
448	C₄×Dic₇₉	C₂⁴	1	8	yes	—
449	C₄×Dic₇₉	C₂⁴	1	8	yes	—
450	C₄×Dic₇₉	C₂⁴	1	8	yes	—
451	C₄×Dic₇₉	C₂⁴	1	8	yes	—
452	C₄×Dic₇₉	C₂⁴	1	4	yes	—
453	C₄×Dic₇₉	C₂⁴	1	4	yes	—
454	C₂⁴×C₇₉	—	2	8	no	—
455	C₂⁴×C₇₉	—	4	4	no	—
456	C₂⁴×C₇₉	—	4	4	no	—
457	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
458	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
459	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
460	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
461	C₂⁴×C₇₉	C₂⁴	1	8	yes	—
462	#41×C₇₉	—	2	32	no	—
463	C₂×Q₈×C₇₉	—	2	4	no	—
464	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
465	C₂×D₄×C₇₉	—	2	8	no	—
466	C₂×D₄×C₇₉	—	2	8	no	—
467	C₂×D₄×C₇₉	—	2	32	no	—
468	C₂×D₄×C₇₉	—	2	4	no	—
469	C₂×D₄×C₇₉	—	4	2	no	—
470	C₂×D₄×C₇₉	—	4	4	no	—
471	C₂×D₄×C₇₉	#41	1	8	yes	—
472	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
473	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
474	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
475	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
476	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
477	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₇₉	—	2	8	no	—
479	C₂²×C₄×C₇₉	—	2	4	no	—
480	C₂²×C₄×C₇₉	—	2	4	no	—
481	C₂²×C₄×C₇₉	—	4	4	no	—
482	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
487	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
488	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
495	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
498	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
500	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
503	C₄²×C₇₉	C₂⁴	1	4	yes	—
504	C₂³×C₇₉	—	2	4	no	—
505	C₂³×C₇₉	—	2	4	no	—
506	C₂³×C₇₉	—	2	2	no	—
507	C₂³×C₇₉	—	2	2	no	—
508	C₂³×C₇₉	—	2	4	no	—
509	C₂³×C₇₉	—	2	2	no	—
510	C₂³×C₇₉	—	2	4	no	—
511	C₂³×C₇₉	—	2	4	no	—
512	C₂³×C₇₉	—	2	2	no	—
513	C₂³×C₇₉	—	2	2	no	—
514	C₂³×C₇₉	—	2	2	no	—
515	C₂³×C₇₉	—	2	16	no	—
516	C₂³×C₇₉	—	4	8	no	—
517	C₂³×C₇₉	—	4	8	no	—
518	C₂³×C₇₉	—	8	16	no	—
519	C₂³×C₇₉	C₂×#41	1	8	yes	—
520	C₂³×C₇₉	C₂⁵	1	2	yes	—
521	C₂³×C₇₉	C₂⁵	1	4	yes	—
522	C₂³×C₇₉	C₂⁵	1	2	yes	—
523	C₂³×C₇₉	C₂⁵	1	4	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	C₂⁵	1	2	yes	—
529	Q₈×C₇₉	—	2	8	no	—
530	D₄×C₇₉	—	2	16	no	—
531	D₄×C₇₉	—	2	16	no	—
532	D₄×C₇₉	—	2	8	no	—
533	D₄×C₇₉	—	4	8	no	—
534	D₄×C₇₉	—	4	4	no	—
535	D₄×C₇₉	C₂×#41	1	16	yes	—
536	C₂×C₄×C₇₉	—	2	2	no	—
537	C₂×C₄×C₇₉	—	2	2	no	—
538	C₂×C₄×C₇₉	—	2	4	no	—
539	C₂×C₄×C₇₉	—	2	16	no	—
540	C₂×C₄×C₇₉	—	2	2	no	—
541	C₂×C₄×C₇₉	—	2	2	no	—
542	C₂×C₄×C₇₉	—	2	4	no	—
543	C₂×C₄×C₇₉	—	2	8	no	—
544	C₂×C₄×C₇₉	—	2	8	no	—
545	C₂×C₄×C₇₉	—	4	8	no	—
546	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
547	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
548	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
549	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
550	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
551	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
552	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
553	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
554	C₂²⋊D₇₉	—	2	16	no	—
555	C₂²⋊D₇₉	—	4	4	no	—
556	C₂²⋊D₇₉	—	4	4	no	—
557	C₂²⋊D₇₉	—	4	8	no	—
558	C₂×Dic₇₉	—	2	2	no	—
559	C₂×Dic₇₉	—	2	4	no	—
560	C₂×Dic₇₉	—	2	16	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	—	2	4	no	—
566	C₂×Dic₇₉	—	2	4	no	—
567	C₂×Dic₇₉	—	2	2	no	—
568	C₂×Dic₇₉	—	2	2	no	—
569	C₂×Dic₇₉	—	2	2	no	—
570	C₂×Dic₇₉	—	4	8	no	—
571	C₂×Dic₇₉	—	4	8	no	—
572	C₂×Dic₇₉	—	4	8	no	—
573	C₂×Dic₇₉	—	4	8	no	—
574	C₂×Dic₇₉	—	4	8	no	—
575	C₂×Dic₇₉	—	4	8	no	—
576	C₂×Dic₇₉	C₂⁵	1	4	yes	—
577	C₂×Dic₇₉	C₂⁵	1	2	yes	—
578	C₂×Dic₇₉	C₂⁵	1	2	yes	—
579	C₂×Dic₇₉	C₂⁵	1	2	yes	—
580	C₂×Dic₇₉	C₂⁵	1	2	yes	—
581	C₂×Dic₇₉	C₂⁵	1	4	yes	—
582	C₂×Dic₇₉	C₂⁵	1	4	yes	—
583	C₂×Dic₇₉	C₂⁵	1	2	yes	—
584	C₂×Dic₇₉	C₂⁵	1	2	yes	—
585	C₂×Dic₇₉	C₂⁵	1	2	yes	—
586	C₂×Dic₇₉	C₂⁵	1	4	yes	—
587	C₄×D₇₉	—	2	8	no	—
588	C₄×D₇₉	—	4	4	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	4	no	—
594	C₂²×C₇₉	—	2	4	no	—
595	C₂²×C₇₉	—	2	16	no	—
596	C₂²×C₇₉	—	2	2	no	—
597	C₂²×C₇₉	—	2	2	no	—
598	C₂²×C₇₉	—	2	4	no	—
599	C₂²×C₇₉	—	2	2	no	—
600	C₂²×C₇₉	—	2	2	no	—
601	C₂²×C₇₉	—	2	4	no	—
602	C₂²×C₇₉	—	2	2	no	—
603	C₂²×C₇₉	—	2	4	no	—
604	C₂²×C₇₉	—	2	2	no	—
605	C₂²×C₇₉	—	4	4	no	—
606	C₂²×C₇₉	—	4	8	no	—
607	C₂²×C₇₉	—	4	4	no	—
608	C₂²×C₇₉	—	8	16	no	—
609	C₂²×C₇₉	C₂²×#41	1	8	yes	—
610	C₂²×C₇₉	C₂²×#41	1	2	yes	—
611	C₂²×C₇₉	#585	1	2	yes	—
612	C₂²×C₇₉	#585	1	2	yes	—
613	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
614	C₂×D₇₉	—	2	2	no	—
615	C₂×D₇₉	—	2	2	no	—
616	C₂×D₇₉	—	2	2	no	—
617	C₂×D₇₉	—	4	4	no	—
618	C₄×C₇₉	—	2	2	no	—
619	C₄×C₇₉	—	2	2	no	—
620	C₄×C₇₉	—	2	4	no	—
621	C₄×C₇₉	—	2	2	no	—
622	C₄×C₇₉	—	2	4	no	—
623	C₄×C₇₉	—	2	2	no	—
624	C₄×C₇₉	C₂²×#41	1	4	yes	—
625	Dic₇₉	—	2	4	no	—
626	Dic₇₉	—	2	2	no	—
627	Dic₇₉	—	2	2	no	—
628	Dic₇₉	—	2	2	no	—
629	Dic₇₉	—	2	4	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	4	no	—
636	C₂×#3521	—	79	1	no	maximal, Sylow
637	C₂×C₇₉	—	2	8	no	—
638	C₂×C₇₉	—	4	2	no	—
639	C₂×C₇₉	—	4	4	no	—
640	C₂×C₇₉	—	4	2	no	—
641	C₂×C₇₉	#3521	1	4	yes	complemented
642	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
643	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
644	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
645	D₇₉	—	4	2	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	—	79	1	no	—
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	D₇₉	1	1	yes	characteristic, complemented
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	2	no	—
665	C₂×#529	—	79	1	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	C₂×D₇₉	1	1	yes	characteristic
673	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic
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	—	79	16	no	—
681	#551	—	79	32	no	—
682	#551	—	79	32	no	—
683	#547	—	79	16	no	—
684	#546	—	79	16	no	—
685	#546	C₂×D₇₉	1	16	yes	complemented
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	32	no	—
694	#529	—	79	16	no	—
695	C₂×#126	—	79	2	no	—
696	C₂×#126	—	79	1	no	—
697	C₂×#126	—	79	2	no	—
698	C₂×#126	—	79	2	no	—
699	C₂×#126	—	79	2	no	—
700	C₂×#126	—	79	2	no	—
701	C₂×#126	—	79	2	no	—
702	C₂×#126	—	79	2	no	—
703	C₂×#126	—	79	2	no	—
704	C₂×#126	—	79	32	no	—
705	C₂×#126	—	79	1	no	—
706	C₂×#126	—	79	2	no	—
707	C₂×#126	—	79	2	no	—
708	C₂×#125	—	79	2	no	—
709	C₂×#125	—	79	1	no	—
710	C₂×#125	—	79	2	no	—
711	C₂×#125	—	79	2	no	—
712	C₂×#125	—	79	1	no	—
713	C₂×#125	—	79	1	no	—
714	C₂×#124	—	79	2	no	—
715	C₂×#124	—	79	1	no	—
716	C₂×#124	—	79	1	no	—
717	C₂×#124	—	79	2	no	—
718	C₂×#124	C₂×D₇₉	1	1	yes	characteristic
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	2	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₂²⋊Q₈	—	79	1	no	—
733	C₂×C₂²⋊Q₈	—	79	1	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	—	79	2	no	—
738	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic
739	C₂×#121	—	79	1	no	—
740	C₂×#121	—	79	1	no	—
741	C₂×#121	—	79	2	no	—
742	C₂×#121	—	79	2	no	—
743	C₂×#121	—	79	2	no	—
744	C₂×#121	C₂×D₇₉	1	2	yes	—
745	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
746	C₂×#120	—	79	2	no	—
747	C₂×#120	C₂×D₇₉	1	2	yes	—
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	—	79	1	no	—
757	C₂×C₄×D₄	—	79	1	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	2	no	—
766	C₂×C₄×D₄	—	79	2	no	—
767	C₂×C₄×D₄	—	79	2	no	—
768	C₂×C₄×D₄	—	79	1	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	C₂×D₇₉	1	1	yes	characteristic
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	1	no	—
777	C₂×#117	—	79	2	no	—
778	C₂×#117	—	79	1	no	—
779	C₂×#117	—	79	2	no	—
780	C₂×#117	—	79	2	no	—
781	C₂×#117	—	79	2	no	—
782	C₂×#117	—	79	2	no	—
783	C₂²×C₄⋊C₄	—	79	2	no	—
784	C₂²×C₄⋊C₄	—	79	1	no	—
785	C₂²×C₄⋊C₄	—	79	2	no	—
786	C₂²×C₄⋊C₄	—	79	2	no	—
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	C₂×D₇₉	1	2	yes	—
791	C₂²×C₄²	—	79	2	no	—
792	C₂²×C₄²	—	79	1	no	—
793	C₂⁵	C₂²×D₇₉	1	2	yes	—
794	C₂×#41	—	2	8	no	—
795	C₂×#41	—	79	8	no	—
796	C₂×#41	—	158	8	no	—
797	C₂×#41	C₂²×D₇₉	1	8	yes	—
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	—	2	8	no	—
803	C₂²×D₄	—	79	1	no	—
804	C₂²×D₄	—	79	2	no	—
805	C₂²×D₄	—	79	1	no	—
806	C₂²×D₄	—	79	2	no	—
807	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
808	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
809	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
810	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
811	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
812	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
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	1	no	—
824	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
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	8	no	—
832	#126	—	79	16	no	—
833	#126	—	79	16	no	—
834	#126	—	79	16	no	—
835	#126	—	79	16	no	—
836	#126	—	79	16	no	—
837	#126	—	79	16	no	—
838	#126	—	79	16	no	—
839	#126	—	79	8	no	—
840	#126	—	79	16	no	—
841	#126	—	79	16	no	—
842	#125	—	79	16	no	—
843	#125	—	79	8	no	—
844	#125	—	79	16	no	—
845	#125	—	79	16	no	—
846	#125	—	79	8	no	—
847	#125	—	79	8	no	—
848	#124	—	79	16	no	—
849	#124	—	79	8	no	—
850	#124	—	79	8	no	—
851	#124	—	79	16	no	—
852	#124	C₂²×D₇₉	1	8	yes	—
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	16	no	—
865	C₂²⋊Q₈	—	79	8	no	—
866	C₂²⋊Q₈	—	79	8	no	—
867	C₂²⋊Q₈	—	79	8	no	—
868	C₂²⋊Q₈	—	79	16	no	—
869	C₂²⋊Q₈	—	79	16	no	—
870	C₂²⋊Q₈	—	79	16	no	—
871	C₂²⋊Q₈	—	79	16	no	—
872	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	—
873	#121	—	79	8	no	—
874	#121	—	79	8	no	—
875	#121	—	79	16	no	—
876	#121	—	79	16	no	—
877	#121	—	79	16	no	—
878	#121	C₂²×D₇₉	1	16	yes	—
879	#121	C₂²×D₇₉	1	8	yes	—
880	#120	—	79	16	no	—
881	#120	C₂²×D₇₉	1	16	yes	—
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	—	79	8	no	—
888	C₄×D₄	—	79	8	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	16	no	—
897	C₄×D₄	—	79	16	no	—
898	C₄×D₄	—	79	16	no	—
899	C₄×D₄	—	79	8	no	—
900	C₄×D₄	—	79	8	no	—
901	C₄×D₄	—	79	16	no	—
902	C₄×D₄	—	79	16	no	—
903	C₄×D₄	C₂²×D₇₉	1	8	yes	—
904	C₄×D₄	C₂²×D₇₉	1	8	yes	—
905	#117	—	79	8	no	—
906	#117	—	79	8	no	—
907	#117	—	79	8	no	—
908	#117	—	79	16	no	—
909	#117	—	79	8	no	—
910	#117	—	79	16	no	—
911	#117	—	79	16	no	—
912	#117	—	79	16	no	—
913	#117	—	79	16	no	—
914	C₂×C₄⋊C₄	—	79	1	no	—
915	C₂×C₄⋊C₄	—	79	2	no	—
916	C₂×C₄⋊C₄	—	79	1	no	—
917	C₂×C₄⋊C₄	—	79	1	no	—
918	C₂×C₄⋊C₄	—	79	1	no	—
919	C₂×C₄⋊C₄	—	79	2	no	—
920	C₂×C₄⋊C₄	—	79	2	no	—
921	C₂×C₄⋊C₄	—	79	1	no	—
922	C₂×C₄⋊C₄	—	79	2	no	—
923	C₂×C₄⋊C₄	—	79	2	no	—
924	C₂×C₄⋊C₄	—	79	16	no	—
925	C₂×C₄⋊C₄	—	79	8	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	16	no	—
931	C₂×C₄⋊C₄	—	79	16	no	—
932	C₂×C₄⋊C₄	—	79	1	no	—
933	C₂×C₄⋊C₄	—	79	1	no	—
934	C₂×C₄⋊C₄	—	79	1	no	—
935	C₂×C₄⋊C₄	—	79	1	no	—
936	C₂×C₄⋊C₄	—	79	1	no	—
937	C₂×C₄⋊C₄	—	79	2	no	—
938	C₂×C₄⋊C₄	—	79	2	no	—
939	C₂×C₄⋊C₄	—	79	2	no	—
940	C₂×C₄⋊C₄	—	79	2	no	—
941	C₂×C₄⋊C₄	—	79	2	no	—
942	C₂×C₄⋊C₄	—	79	1	no	—
943	C₂×C₄⋊C₄	—	79	2	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
948	C₂×C₂²⋊C₄	—	79	1	no	—
949	C₂×C₂²⋊C₄	—	79	2	no	—
950	C₂×C₂²⋊C₄	—	79	1	no	—
951	C₂×C₂²⋊C₄	—	79	1	no	—
952	C₂×C₂²⋊C₄	—	79	2	no	—
953	C₂×C₂²⋊C₄	—	79	2	no	—
954	C₂×C₂²⋊C₄	—	79	2	no	—
955	C₂×C₂²⋊C₄	—	79	2	no	—
956	C₂×C₂²⋊C₄	—	79	2	no	—
957	C₂×C₂²⋊C₄	—	79	16	no	—
958	C₂×C₂²⋊C₄	—	79	16	no	—
959	C₂×C₂²⋊C₄	—	79	2	no	—
960	C₂×C₂²⋊C₄	—	79	2	no	—
961	C₂×C₂²⋊C₄	—	79	16	no	—
962	C₂×C₂²⋊C₄	—	79	2	no	—
963	C₂×C₂²⋊C₄	—	79	1	no	—
964	C₂×C₂²⋊C₄	—	79	1	no	—
965	C₂×C₂²⋊C₄	—	79	2	no	—
966	C₂×C₂²⋊C₄	—	79	2	no	—
967	C₂×C₂²⋊C₄	—	79	1	no	—
968	C₂×C₂²⋊C₄	—	79	2	no	—
969	C₂×C₂²⋊C₄	—	79	1	no	—
970	C₂×C₂²⋊C₄	—	79	2	no	—
971	C₂×C₂²⋊C₄	—	79	1	no	—
972	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂²×D₇₉	1	16	yes	—
977	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
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	2	no	—
986	C₂×C₄²	—	79	2	no	—
987	C₂×C₄²	—	79	1	no	—
988	C₂×C₄²	—	79	1	no	—
989	C₂×C₄²	—	79	2	no	—
990	C₂×C₄²	—	79	16	no	—
991	C₂×C₄²	—	79	1	no	—
992	C₂×C₄²	—	79	8	no	—
993	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
994	C₂⁴	—	2	8	no	—
995	C₂⁴	—	4	4	no	—
996	C₂⁴	—	4	4	no	—
997	C₂⁴	—	79	1	no	—
998	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
999	C₂⁴	C₂³×D₇₉	1	2	yes	—
1000	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1001	C₂⁴	C₂³×D₇₉	1	2	yes	—
1002	C₂⁴	C₂³×D₇₉	1	8	yes	—
1003	#41	—	2	32	no	—
1004	#41	—	158	32	no	—
1005	C₂×Q₈	—	2	4	no	—
1006	C₂×Q₈	—	316	4	no	—
1007	C₂×Q₈	—	316	2	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	—	2	8	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	32	no	—
1016	C₂×D₄	—	2	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	316	2	no	—
1020	C₂×D₄	—	316	2	no	—
1021	C₂×D₄	—	316	4	no	—
1022	C₂×D₄	—	79	4	no	—
1023	C₂×D₄	—	79	8	no	—
1024	C₂×D₄	—	79	4	no	—
1025	C₂×D₄	—	79	8	no	—
1026	C₂×D₄	—	158	8	no	—
1027	C₂×D₄	#11929623	1	8	yes	—
1028	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1029	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1030	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1031	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1032	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1033	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1034	C₂²×C₄	—	2	8	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	316	2	no	—
1039	C₂²×C₄	—	316	2	no	—
1040	C₂²×C₄	—	316	4	no	—
1041	C₂²×C₄	—	316	4	no	—
1042	C₂²×C₄	—	316	4	no	—
1043	C₂²×C₄	—	316	4	no	—
1044	C₂²×C₄	—	316	4	no	—
1045	C₂²×C₄	—	316	4	no	—
1046	C₂²×C₄	—	79	8	no	—
1047	C₂²×C₄	—	79	8	no	—
1048	C₂²×C₄	—	79	8	no	—
1049	C₂²×C₄	—	79	8	no	—
1050	C₂²×C₄	—	79	8	no	—
1051	C₂²×C₄	—	79	8	no	—
1052	C₂²×C₄	—	79	4	no	—
1053	C₂²×C₄	—	79	4	no	—
1054	C₂²×C₄	—	79	8	no	—
1055	C₂²×C₄	—	79	1	no	—
1056	C₂²×C₄	—	79	2	no	—
1057	C₂²×C₄	—	79	1	no	—
1058	C₂²×C₄	—	79	1	no	—
1059	C₂²×C₄	—	79	1	no	—
1060	C₂²×C₄	—	79	2	no	—
1061	C₂²×C₄	—	79	2	no	—
1062	C₂²×C₄	—	79	1	no	—
1063	C₂²×C₄	—	79	1	no	—
1064	C₂²×C₄	—	79	1	no	—
1065	C₂²×C₄	—	79	2	no	—
1066	C₂²×C₄	—	79	4	no	—
1067	C₂²×C₄	—	158	8	no	—
1068	C₂²×C₄	—	158	4	no	—
1069	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1070	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1071	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
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	1	yes	characteristic
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	8	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	8	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	8	no	—
1097	C₄⋊C₄	—	79	4	no	—
1098	C₄⋊C₄	—	79	4	no	—
1099	C₄⋊C₄	—	79	8	no	—
1100	C₄⋊C₄	—	79	8	no	—
1101	C₄⋊C₄	—	79	4	no	—
1102	C₄⋊C₄	—	79	4	no	—
1103	C₄⋊C₄	—	79	4	no	—
1104	C₄⋊C₄	—	79	4	no	—
1105	C₄⋊C₄	—	79	8	no	—
1106	C₄⋊C₄	—	79	4	no	—
1107	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1110	C₂²⋊C₄	—	79	4	no	—
1111	C₂²⋊C₄	—	79	8	no	—
1112	C₂²⋊C₄	—	79	4	no	—
1113	C₂²⋊C₄	—	79	4	no	—
1114	C₂²⋊C₄	—	79	8	no	—
1115	C₂²⋊C₄	—	79	8	no	—
1116	C₂²⋊C₄	—	79	8	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	4	no	—
1123	C₂²⋊C₄	—	79	4	no	—
1124	C₂²⋊C₄	—	79	8	no	—
1125	C₂²⋊C₄	—	79	8	no	—
1126	C₂²⋊C₄	—	79	4	no	—
1127	C₂²⋊C₄	—	79	8	no	—
1128	C₂²⋊C₄	—	79	4	no	—
1129	C₂²⋊C₄	—	79	8	no	—
1130	C₂²⋊C₄	—	79	4	no	—
1131	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1132	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1136	C₂²⋊C₄	C₂³×D₇₉	1	8	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	8	no	—
1146	C₄²	—	79	8	no	—
1147	C₄²	—	79	4	no	—
1148	C₄²	—	79	4	no	—
1149	C₄²	C₂³×D₇₉	1	4	yes	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	4	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	16	no	—
1162	C₂³	—	4	8	no	—
1163	C₂³	—	4	8	no	—
1164	C₂³	—	8	16	no	—
1165	C₂³	—	79	2	no	—
1166	C₂³	—	158	2	no	—
1167	C₂³	—	158	2	no	—
1168	C₂³	—	158	2	no	—
1169	C₂³	C₂×#11929623	1	8	yes	—
1170	C₂³	C₂⁴×D₇₉	1	2	yes	—
1171	C₂³	C₂⁴×D₇₉	1	4	yes	—
1172	C₂³	C₂⁴×D₇₉	1	2	yes	—
1173	C₂³	C₂⁴×D₇₉	1	4	yes	—
1174	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1175	Q₈	—	2	8	no	—
1176	Q₈	—	316	8	no	—
1177	Q₈	—	316	4	no	—
1178	Q₈	—	158	8	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	2	16	no	—
1181	D₄	—	2	8	no	—
1182	D₄	—	4	8	no	—
1183	D₄	—	4	4	no	—
1184	D₄	—	316	4	no	—
1185	D₄	—	316	4	no	—
1186	D₄	—	316	8	no	—
1187	D₄	—	158	16	no	—
1188	D₄	C₂×#11929623	1	16	yes	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	4	no	—
1195	C₂×C₄	—	2	16	no	—
1196	C₂×C₄	—	2	8	no	—
1197	C₂×C₄	—	2	8	no	—
1198	C₂×C₄	—	4	8	no	—
1199	C₂×C₄	—	316	4	no	—
1200	C₂×C₄	—	316	4	no	—
1201	C₂×C₄	—	316	8	no	—
1202	C₂×C₄	—	316	8	no	—
1203	C₂×C₄	—	316	8	no	—
1204	C₂×C₄	—	316	8	no	—
1205	C₂×C₄	—	316	8	no	—
1206	C₂×C₄	—	316	8	no	—
1207	C₂×C₄	—	79	2	no	—
1208	C₂×C₄	—	79	2	no	—
1209	C₂×C₄	—	79	2	no	—
1210	C₂×C₄	—	79	4	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	—	79	4	no	—
1218	C₂×C₄	—	158	2	no	—
1219	C₂×C₄	—	158	2	no	—
1220	C₂×C₄	—	158	4	no	—
1221	C₂×C₄	—	158	2	no	—
1222	C₂×C₄	—	158	2	no	—
1223	C₂×C₄	—	158	4	no	—
1224	C₂×C₄	—	158	4	no	—
1225	C₂×C₄	—	158	2	no	—
1226	C₂×C₄	—	158	2	no	—
1227	C₂×C₄	—	158	2	no	—
1228	C₂×C₄	—	158	4	no	—
1229	C₂×C₄	—	158	16	no	—
1230	C₂×C₄	—	158	8	no	—
1231	C₂×C₄	C₂×#11929623	1	4	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	2	yes	—
1237	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1239	C₂²	—	2	4	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	16	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	4	no	—
1245	C₂²	—	2	4	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	4	4	no	—
1252	C₂²	—	4	8	no	—
1253	C₂²	—	4	4	no	—
1254	C₂²	—	8	16	no	—
1255	C₂²	—	316	4	no	—
1256	C₂²	—	158	2	no	—
1257	C₂²	—	158	2	no	—
1258	C₂²	—	158	2	no	—
1259	C₂²	C₂²×#11929623	1	8	yes	—
1260	C₂²	C₂²×#11929623	1	2	yes	—
1261	C₂²	#19099398	1	2	yes	—
1262	C₂²	#19099399	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	2	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	158	2	no	—
1271	C₄	—	158	4	no	—
1272	C₄	—	158	2	no	—
1273	C₄	—	158	2	no	—
1274	C₄	—	158	4	no	—
1275	C₄	—	158	2	no	—
1276	C₄	—	158	2	no	—
1277	C₄	—	158	4	no	—
1278	C₄	—	158	4	no	—
1279	C₄	—	158	2	no	—
1280	C₄	—	158	2	no	—
1281	C₄	C₂²×#11929623	1	4	yes	—
1282	C₂	—	2	8	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	4	4	no	—
1285	C₂	—	4	2	no	—
1286	C₂	—	316	2	no	—
1287	C₂	#23777457	1	4	yes	direct product factor
1288	C₂	C₂³×#11929623	1	1	yes	characteristic
1289	C₂	C₂×#19099398	1	1	yes	characteristic
1290	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×#546×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#546	D₇₉
hypocenter	C₇₉	C₂×#3521
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #23777457	C₂	direct (N × H)
2. C₂×#19099284	C₂	semidirect
3. C₂×#19099282	C₂	semidirect
4. C₂×#19099272	C₂	semidirect
5. C₂×#19099265	C₂	semidirect
6. C₂×#19099256	C₂	semidirect
7. C₂×#19099253	C₂	semidirect
8. C₂×#19099250	C₂	semidirect
9. C₂×#19099244	C₂	semidirect
10. C₂×#19099239	C₂	semidirect
11. C₂×#19099212	C₂	semidirect
12. C₂×#19099207	C₂	semidirect
13. C₂×#19099180	C₂	semidirect
14. C₂×#19099173	C₂	semidirect
15. C₂×#19099157	C₂	semidirect
16. C₂×#19099148	C₂	semidirect
17. C₂×#19099095	C₂	semidirect
18. C₂×#19099094	C₂	semidirect
19. C₂×#19099092	C₂	semidirect
20. C₂²×#14579154	C₂	semidirect
21. C₂×#19099046	C₂	semidirect
22. C₂×#19099038	C₂	semidirect
23. C₂×C₄×#11929623	C₂	semidirect
24. C₂×#546×C₇₉	C₂	semidirect
26. #19099284	C₂²	semidirect
27. #19099282	C₂²	semidirect
28. #19099272	C₂²	semidirect
29. #19099265	C₂²	semidirect
30. #19099256	C₂²	semidirect
31. #19099253	C₂²	semidirect
32. #19099250	C₂²	semidirect
33. #19099244	C₂²	semidirect
34. #19099239	C₂²	semidirect
35. #19099212	C₂²	semidirect
36. #19099207	C₂²	semidirect
37. #19099180	C₂²	semidirect
38. #19099173	C₂²	semidirect
39. #19099157	C₂²	semidirect
40. #19099148	C₂²	semidirect
41. C₂×#14579160	C₂²	semidirect
42. C₂×#14579159	C₂²	semidirect
43. #19099095	C₂²	semidirect
44. #19099094	C₂²	semidirect
45. #19099092	C₂²	semidirect
46. C₂×#14579156	C₂²	semidirect
52. C₂×#14579154	C₂²	semidirect
53. C₂×#14579154	C₂²	semidirect
54. C₂×#14579154	C₂²	semidirect
55. C₂×#14579154	C₂²	semidirect
56. C₂×#14579154	C₂²	semidirect
57. C₂×#14579154	C₂²	semidirect
58. C₂×#14579154	C₂²	semidirect
59. C₂×#14579153	C₂²	semidirect
60. C₂×#14579152	C₂²	semidirect
61. C₂×#14579152	C₂²	semidirect
62. C₂×#14579152	C₂²	semidirect
63. C₂×#14579151	C₂²	semidirect
64. C₂×#14579151	C₂²	semidirect
67. C₂×#14579148	C₂²	semidirect
69. C₂×#14579145	C₂²	semidirect
70. C₂×#14579144	C₂²	semidirect
72. C₂×#14579143	C₂²	semidirect
73. C₂×#14579143	C₂²	semidirect
76. C₂×#14579142	C₂²	semidirect
77. C₂×#14579142	C₂²	semidirect
78. C₂×#14579141	C₂²	semidirect
80. C₂×#14579140	C₂²	semidirect
81. C₂×#14579140	C₂²	semidirect
82. C₂×#14579138	C₂²	semidirect
83. C₂×#14579138	C₂²	semidirect
84. C₂×#14579138	C₂²	semidirect
85. C₂×#14579138	C₂²	semidirect
86. C₂×#14579137	C₂²	semidirect
88. C₂×#14579133	C₂²	semidirect
89. C₂×#14579133	C₂²	semidirect
93. #19099046	C₂²	semidirect
94. #19099038	C₂²	semidirect
95. C₄×#11929623	C₂²	semidirect
96. C₂×Q₈×Dic₇₉	C₂²	semidirect
97. C₂×Q₈×Dic₇₉	C₂²	semidirect
98. C₂×C₄×Dic₁₅₈	C₂²	semidirect
99. C₂×C₄×Dic₁₅₈	C₂²	semidirect
100. C₂×#14579126	C₂²	semidirect
101. C₂×#14579126	C₂²	semidirect
109. C₂×D₄×Dic₇₉	C₂²	semidirect
110. C₂×D₄×Dic₇₉	C₂²	semidirect
111. C₂×D₄×Dic₇₉	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
115. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
116. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
119. C₂×#14579120	C₂²	semidirect
120. C₂×#14579120	C₂²	semidirect
121. C₂×#14579119	C₂²	semidirect
122. C₂×#14579117	C₂²	semidirect
123. C₂×#14579117	C₂²	semidirect
124. C₂×#14579117	C₂²	semidirect
125. C₂×#14579117	C₂²	semidirect
126. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
127. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
128. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
129. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
133. C₂²×C₄×Dic₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
137. #546×C₇₉	C₂²	semidirect
166. #14579160	C₂³	semidirect
167. #14579159	C₂³	semidirect
168. #14579156	C₂³	semidirect
174. #14579154	C₂³	semidirect
175. #14579154	C₂³	semidirect
176. #14579154	C₂³	semidirect
177. #14579154	C₂³	semidirect
178. #14579154	C₂³	semidirect
179. #14579154	C₂³	semidirect
180. #14579153	C₂³	semidirect
181. #14579152	C₂³	semidirect
182. #14579152	C₂³	semidirect
183. #14579152	C₂³	semidirect
184. #14579151	C₂³	semidirect
185. #14579151	C₂³	semidirect
188. #14579148	C₂³	semidirect
190. #14579145	C₂³	semidirect
191. #14579144	C₂³	semidirect
193. #14579143	C₂³	semidirect
194. #14579143	C₂³	semidirect
197. #14579142	C₂³	semidirect
198. #14579142	C₂³	semidirect
199. #14579141	C₂³	semidirect
201. #14579140	C₂³	semidirect
202. #14579140	C₂³	semidirect
203. #14579138	C₂³	semidirect
204. #14579138	C₂³	semidirect
205. #14579138	C₂³	semidirect
206. #14579138	C₂³	semidirect
207. #14579137	C₂³	semidirect
209. #14579133	C₂³	semidirect
210. #14579133	C₂³	semidirect
214. Q₈×Dic₇₉	C₂³	semidirect
215. Q₈×Dic₇₉	C₂³	semidirect
216. C₄×Dic₁₅₈	C₂³	semidirect
217. C₄×Dic₁₅₈	C₂³	semidirect
218. #14579126	C₂³	semidirect
219. #14579126	C₂³	semidirect
227. D₄×Dic₇₉	C₂³	semidirect
228. D₄×Dic₇₉	C₂³	semidirect
229. D₄×Dic₇₉	C₂³	semidirect
231. C₄×C₂²⋊D₇₉	C₂³	semidirect
232. C₄×C₂²⋊D₇₉	C₂³	semidirect
233. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
234. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
237. #14579120	C₂³	semidirect
238. #14579120	C₂³	semidirect
239. #14579119	C₂³	semidirect
240. #14579117	C₂³	semidirect
241. #14579117	C₂³	semidirect
242. #14579117	C₂³	semidirect
243. #14579117	C₂³	semidirect
256. C₂×C₄⋊Dic₇₉	C₂³	semidirect
257. C₂×C₄⋊Dic₇₉	C₂³	semidirect
273. C₂×Dic₇₉⋊C₄	C₂³	semidirect
274. C₂×Dic₇₉⋊C₄	C₂³	semidirect
310. C₂×C₄×Dic₇₉	C₂³	semidirect
311. C₄²×D₇₉	C₂³	semidirect
641. C₂×C₇₉	#3521	semidirect
658. C₂×#546	D₇₉	semidirect
670. C₇₉	C₂×#3521	semidirect
685. #546	C₂×D₇₉	semidirect
1287. C₂	#23777457	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777457	2
C₂×#19099284	2
C₂×#19099282	2
C₂×#19099272	2
C₂×#19099265	2
C₂×#19099256	2
C₂×#19099253	2
C₂×#19099250	2
C₂×#19099244	2
C₂×#19099239	2
C₂×#19099212	2
C₂×#19099207	2
C₂×#19099180	2
C₂×#19099173	2
C₂×#19099157	2
C₂×#19099148	2
C₂×#19099095	2
C₂×#19099094	2
C₂×#19099092	2
C₂²×#14579154	2
C₂×#19099046	2
C₂×#19099038	2
C₂×C₄×#11929623	2
C₂×#546×C₇₉	2
C₂×#3521	79

Subgroups — C2×#23777457 #35196388

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777457 #35196388