Subgroups — C₂×#23777468 #35196403

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	#23777468	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099285	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099281	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099272	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099262	C₂	1	2	yes	maximal, complemented
6	C₂×#19099257	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099254	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099246	C₂	1	2	yes	maximal, complemented
9	C₂×#19099242	C₂	1	2	yes	maximal, complemented
10	C₂×#19099237	C₂	1	2	yes	maximal, complemented
11	C₂×#19099212	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099208	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099201	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099185	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099171	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099155	C₂	1	2	yes	maximal, complemented
17	C₂×#19099146	C₂	1	2	yes	maximal, complemented
18	C₂×#19099097	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099097	C₂	1	2	yes	maximal, complemented
20	C₂×#19099097	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#14579155	C₂	1	2	yes	maximal, complemented
22	C₂×#19099042	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄×#41×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929623	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
27	#19099285	C₂²	1	16	yes	complemented
28	#19099281	C₂²	1	16	yes	complemented
29	#19099272	C₂²	1	16	yes	complemented
30	#19099262	C₂²	1	32	yes	complemented
31	#19099257	C₂²	1	16	yes	complemented
32	#19099254	C₂²	1	16	yes	complemented
33	#19099246	C₂²	1	32	yes	complemented
34	#19099242	C₂²	1	32	yes	complemented
35	#19099237	C₂²	1	32	yes	complemented
36	#19099212	C₂²	1	16	yes	complemented
37	#19099208	C₂²	1	16	yes	complemented
38	#19099201	C₂²	1	16	yes	complemented
39	#19099185	C₂²	1	16	yes	complemented
40	#19099171	C₂²	1	16	yes	complemented
41	#19099155	C₂²	1	32	yes	complemented
42	#19099146	C₂²	1	32	yes	complemented
43	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
45	#19099097	C₂²	1	16	yes	complemented
46	#19099097	C₂²	1	32	yes	complemented
47	#19099097	C₂²	1	16	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	—
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579155	C₂²	1	2	yes	—
51	C₂×#14579155	C₂²	1	2	yes	—
52	C₂×#14579155	C₂²	1	1	yes	characteristic
53	C₂×#14579155	C₂²	1	2	yes	—
54	C₂×#14579155	C₂²	1	2	yes	complemented
55	C₂×#14579155	C₂²	1	2	yes	complemented
56	C₂×#14579155	C₂²	1	2	yes	complemented
57	C₂×#14579155	C₂²	1	2	yes	complemented
58	C₂×#14579155	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14579155	C₂²	1	32	yes	complemented
60	C₂×#14579154	C₂²	1	2	yes	complemented
61	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14579153	C₂²	1	2	yes	complemented
64	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
65	C₂×#14579151	C₂²	1	2	yes	complemented
66	C₂×#14579151	C₂²	1	2	yes	complemented
67	C₂×#14579150	C₂²	1	1	yes	characteristic
68	C₂×#14579149	C₂²	1	1	yes	characteristic
69	C₂×#14579149	C₂²	1	1	yes	characteristic
70	C₂×#14579149	C₂²	1	2	yes	complemented
71	C₂×#14579147	C₂²	1	2	yes	—
72	C₂×#14579146	C₂²	1	2	yes	—
73	C₂×#14579146	C₂²	1	2	yes	complemented
74	C₂×#14579145	C₂²	1	2	yes	—
75	C₂×#14579144	C₂²	1	2	yes	—
76	C₂×#14579144	C₂²	1	1	yes	characteristic
77	C₂×#14579144	C₂²	1	2	yes	complemented
78	C₂×#14579144	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14579144	C₂²	1	2	yes	complemented
80	C₂×#14579143	C₂²	1	2	yes	complemented
81	C₂×#14579142	C₂²	1	2	yes	complemented
82	C₂×#14579141	C₂²	1	1	yes	characteristic
83	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14579140	C₂²	1	2	yes	complemented
85	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14579139	C₂²	1	2	yes	complemented
87	C₂×#14579139	C₂²	1	2	yes	complemented
88	C₂×#14579138	C₂²	1	2	yes	complemented
89	C₂×#14579138	C₂²	1	2	yes	complemented
90	C₂×#14579137	C₂²	1	1	yes	characteristic
91	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14579136	C₂²	1	1	yes	characteristic
93	C₂×#14579135	C₂²	1	1	yes	characteristic
94	C₂×#14579135	C₂²	1	2	yes	—
95	C₂×#14579135	C₂²	1	1	yes	characteristic
96	C₂×#14579134	C₂²	1	2	yes	complemented
97	C₂×#14579133	C₂²	1	2	yes	—
98	C₂×#14579133	C₂²	1	2	yes	complemented
99	C₂×#14579131	C₂²	1	2	yes	—
100	C₂×#14579129	C₂²	1	2	yes	—
101	#19099042	C₂²	1	16	yes	complemented
102	#19099035	C₂²	1	16	yes	complemented
103	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
105	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
108	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
109	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
110	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
111	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
112	C₂×#14579123	C₂²	1	1	yes	characteristic
113	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	—
114	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
115	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
116	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
118	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
119	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
120	C₂×#14579119	C₂²	1	1	yes	characteristic
121	C₂×#14579118	C₂²	1	1	yes	characteristic
122	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14579118	C₂²	1	2	yes	complemented
124	C₂×#14579118	C₂²	1	2	yes	complemented
125	C₂×#14579118	C₂²	1	2	yes	complemented
126	C₂×#14579117	C₂²	1	2	yes	complemented
127	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
128	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
129	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
130	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
132	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
133	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
134	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic
136	C₄×#41×C₇₉	C₂²	1	16	yes	complemented
137	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
143	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
144	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₄²×C₇₉	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929623	—	2	8	no	—
149	C₂×#11929623	C₂³	1	8	yes	—
150	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
151	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
152	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
153	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
154	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
155	C₂²×D₃₁₆	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
159	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
161	C₂×D₄×D₇₉	—	2	8	no	—
162	C₂×D₄×D₇₉	C₂³	1	8	yes	—
163	C₂³×Dic₇₉	C₂³	1	2	yes	—
164	C₂³×Dic₇₉	C₂³	1	2	yes	—
165	C₂³×Dic₇₉	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	2	yes	—
169	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
171	#14579160	C₂³	1	8	yes	complemented
172	#14579159	C₂³	1	8	yes	complemented
173	#14579156	C₂³	1	16	yes	—
174	#14579156	C₂³	1	16	yes	complemented
175	#14579155	C₂³	1	16	yes	—
176	#14579155	C₂³	1	16	yes	—
177	#14579155	C₂³	1	16	yes	—
178	#14579155	C₂³	1	8	yes	—
179	#14579155	C₂³	1	16	yes	complemented
180	#14579155	C₂³	1	16	yes	complemented
181	#14579155	C₂³	1	16	yes	complemented
182	#14579155	C₂³	1	16	yes	complemented
183	#14579155	C₂³	1	8	yes	complemented
184	#14579154	C₂³	1	16	yes	complemented
185	#14579153	C₂³	1	16	yes	complemented
186	#14579153	C₂³	1	8	yes	complemented
187	#14579153	C₂³	1	8	yes	complemented
188	#14579152	C₂³	1	8	yes	complemented
189	#14579151	C₂³	1	16	yes	complemented
190	#14579151	C₂³	1	16	yes	complemented
191	#14579150	C₂³	1	8	yes	—
192	#14579149	C₂³	1	8	yes	—
193	#14579149	C₂³	1	8	yes	—
194	#14579149	C₂³	1	16	yes	complemented
195	#14579147	C₂³	1	16	yes	—
196	#14579146	C₂³	1	16	yes	—
197	#14579146	C₂³	1	16	yes	complemented
198	#14579145	C₂³	1	16	yes	—
199	#14579144	C₂³	1	16	yes	—
200	#14579144	C₂³	1	8	yes	—
201	#14579144	C₂³	1	16	yes	complemented
202	#14579144	C₂³	1	16	yes	complemented
203	#14579144	C₂³	1	8	yes	complemented
204	#14579143	C₂³	1	16	yes	complemented
205	#14579142	C₂³	1	16	yes	complemented
206	#14579141	C₂³	1	8	yes	—
207	#14579140	C₂³	1	8	yes	complemented
208	#14579140	C₂³	1	8	yes	complemented
209	#14579140	C₂³	1	16	yes	complemented
210	#14579139	C₂³	1	16	yes	complemented
211	#14579139	C₂³	1	16	yes	complemented
212	#14579138	C₂³	1	16	yes	complemented
213	#14579138	C₂³	1	16	yes	complemented
214	#14579137	C₂³	1	8	yes	—
215	#14579137	C₂³	1	8	yes	complemented
216	#14579136	C₂³	1	8	yes	—
217	#14579135	C₂³	1	8	yes	—
218	#14579135	C₂³	1	8	yes	—
219	#14579135	C₂³	1	16	yes	—
220	#14579134	C₂³	1	16	yes	complemented
221	#14579133	C₂³	1	16	yes	—
222	#14579133	C₂³	1	16	yes	complemented
223	#14579131	C₂³	1	16	yes	—
224	#14579129	C₂³	1	16	yes	—
225	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
226	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
227	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
228	#14579126	C₂³	1	8	yes	complemented
229	C₄×D₃₁₆	C₂³	1	8	yes	—
230	C₄×D₃₁₆	C₂³	1	8	yes	—
231	C₄×D₃₁₆	C₂³	1	16	yes	complemented
232	D₄×Dic₇₉	C₂³	1	8	yes	—
233	D₄×Dic₇₉	C₂³	1	8	yes	—
234	#14579123	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
236	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
237	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
238	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
239	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
240	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
241	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
242	#14579119	C₂³	1	8	yes	—
243	#14579118	C₂³	1	8	yes	—
244	#14579118	C₂³	1	8	yes	complemented
245	#14579118	C₂³	1	16	yes	complemented
246	#14579118	C₂³	1	16	yes	complemented
247	#14579118	C₂³	1	16	yes	complemented
248	#14579117	C₂³	1	16	yes	complemented
249	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
253	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
255	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
256	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
275	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
276	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
277	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
278	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
279	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
286	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
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	1	yes	characteristic
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
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	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
308	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
309	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
310	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
312	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
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	C₂³	1	2	yes	—
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	2	yes	—
321	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
322	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
325	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
326	C₄×D₄×C₇₉	C₂³	1	8	yes	—
327	C₄×D₄×C₇₉	C₂³	1	8	yes	—
328	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
329	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
330	#117×C₇₉	C₂³	1	16	yes	complemented
331	#117×C₇₉	C₂³	1	8	yes	complemented
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
336	C₂×C₂²⋊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×C₄²×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×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	2	yes	—
345	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
346	C₂×C₄²×C₇₉	C₂³	1	16	yes	complemented
347	C₂×C₄²×C₇₉	C₂³	1	8	yes	complemented
348	C₂³×D₇₉	—	2	8	no	—
349	C₂³×D₇₉	—	4	4	no	—
350	C₂³×D₇₉	—	4	4	no	—
351	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
352	C₂³×D₇₉	C₂⁴	1	2	yes	—
353	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
354	C₂³×D₇₉	C₂⁴	1	8	yes	—
355	#11929623	—	2	32	no	—
356	C₂×Dic₁₅₈	—	2	4	no	—
357	C₂×Dic₁₅₈	—	4	2	no	—
358	C₂×Dic₁₅₈	—	4	4	no	—
359	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
360	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
361	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
362	C₂×D₃₁₆	—	2	4	no	—
363	C₂×D₃₁₆	—	4	2	no	—
364	C₂×D₃₁₆	—	4	4	no	—
365	C₂×D₃₁₆	C₂⁴	1	4	yes	—
366	C₂×D₃₁₆	C₂⁴	1	4	yes	—
367	C₂×D₃₁₆	C₂⁴	1	8	yes	—
368	C₂×C₂²⋊D₇₉	—	2	8	no	—
369	C₂×C₂²⋊D₇₉	—	2	8	no	—
370	C₂×C₂²⋊D₇₉	—	4	4	no	—
371	C₂×C₂²⋊D₇₉	—	4	2	no	—
372	C₂×C₂²⋊D₇₉	—	4	2	no	—
373	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
374	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
375	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
376	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
377	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
378	D₄×D₇₉	—	2	32	no	—
379	C₂²×Dic₇₉	—	2	8	no	—
380	C₂²×Dic₇₉	—	4	4	no	—
381	C₂²×Dic₇₉	—	4	4	no	—
382	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
384	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
386	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
391	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
393	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
394	C₂×C₄×D₇₉	—	2	4	no	—
395	C₂×C₄×D₇₉	—	2	4	no	—
396	C₂×C₄×D₇₉	—	4	4	no	—
397	C₂×C₄×D₇₉	—	4	4	no	—
398	C₂×C₄×D₇₉	—	4	4	no	—
399	C₂×C₄×D₇₉	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	8	yes	—
403	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
404	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
405	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
406	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
407	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
408	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
409	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
410	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
411	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
412	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
413	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
414	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
415	Dic₇₉⋊C₄	C₂⁴	1	8	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	8	yes	—
422	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
423	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
424	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
425	Dic₇₉⋊C₄	C₂⁴	1	4	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	4	yes	—
430	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
431	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
432	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
433	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
434	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
435	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
436	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
437	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
438	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
439	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
440	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
441	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
442	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
443	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
444	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
445	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
447	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
450	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
451	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
455	C₄×Dic₇₉	C₂⁴	1	8	yes	—
456	C₄×Dic₇₉	C₂⁴	1	8	yes	—
457	C₄×Dic₇₉	C₂⁴	1	4	yes	—
458	C₄×Dic₇₉	C₂⁴	1	8	yes	—
459	C₄×Dic₇₉	C₂⁴	1	4	yes	—
460	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
461	C₂⁴×C₇₉	C₂⁴	1	2	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	#41	1	8	yes	—
467	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
468	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
469	C₂²×C₄×C₇₉	—	2	8	no	—
470	C₂²×C₄×C₇₉	—	2	4	no	—
471	C₂²×C₄×C₇₉	—	4	4	no	—
472	C₂²×C₄×C₇₉	—	4	2	no	—
473	C₂²×C₄×C₇₉	—	4	4	no	—
474	C₂²×C₄×C₇₉	—	4	2	no	—
475	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
477	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
483	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
484	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
486	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
487	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
491	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
492	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
493	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
494	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
497	C₄²×C₇₉	C₂⁴	1	4	yes	—
498	C₄²×C₇₉	C₂⁴	1	4	yes	—
499	C₄²×C₇₉	C₂⁴	1	8	yes	—
500	C₄²×C₇₉	C₂⁴	1	4	yes	—
501	C₄²×C₇₉	C₂⁴	1	4	yes	—
502	C₄²×C₇₉	C₂⁴	1	8	yes	—
503	C₄²×C₇₉	C₂⁴	1	8	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	2	no	—
509	C₂³×C₇₉	C₂×#41	1	8	yes	—
510	C₂³×C₇₉	C₂⁵	1	2	yes	—
511	C₂³×C₇₉	C₂⁵	1	4	yes	—
512	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
513	C₂²×D₇₉	—	2	2	no	—
514	C₂²×D₇₉	—	2	2	no	—
515	C₂²×D₇₉	—	2	4	no	—
516	C₂²×D₇₉	—	2	2	no	—
517	C₂²×D₇₉	—	2	4	no	—
518	C₂²×D₇₉	—	2	4	no	—
519	C₂²×D₇₉	—	2	2	no	—
520	C₂²×D₇₉	—	2	2	no	—
521	C₂²×D₇₉	—	2	2	no	—
522	C₂²×D₇₉	—	2	16	no	—
523	C₂²×D₇₉	—	4	8	no	—
524	C₂²×D₇₉	—	4	8	no	—
525	C₂²×D₇₉	—	8	16	no	—
526	C₂²×D₇₉	C₂⁵	1	2	yes	—
527	C₂²×D₇₉	C₂⁵	1	4	yes	—
528	C₂²×D₇₉	C₂⁵	1	2	yes	—
529	Q₈×C₇₉	—	2	8	no	—
530	D₄×C₇₉	—	2	16	no	—
531	D₄×C₇₉	C₂×#41	1	16	yes	—
532	C₂×C₄×C₇₉	—	2	2	no	—
533	C₂×C₄×C₇₉	—	2	4	no	—
534	C₂×C₄×C₇₉	—	2	16	no	—
535	C₂×C₄×C₇₉	—	2	4	no	—
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	2	no	—
540	C₂×C₄×C₇₉	—	2	2	no	—
541	C₂×C₄×C₇₉	—	2	8	no	—
542	C₂×C₄×C₇₉	—	4	8	no	—
543	C₂×C₄×C₇₉	—	4	4	no	—
544	C₂×C₄×C₇₉	—	4	8	no	—
545	C₂×C₄×C₇₉	—	4	4	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	2	yes	—
551	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
552	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
553	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
554	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
555	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
556	C₂²⋊D₇₉	—	2	16	no	—
557	C₂²⋊D₇₉	—	2	16	no	—
558	C₂²⋊D₇₉	—	4	4	no	—
559	C₂²⋊D₇₉	—	4	8	no	—
560	C₂²⋊D₇₉	—	4	4	no	—
561	C₂×Dic₇₉	—	2	2	no	—
562	C₂×Dic₇₉	—	2	2	no	—
563	C₂×Dic₇₉	—	2	4	no	—
564	C₂×Dic₇₉	—	2	16	no	—
565	C₂×Dic₇₉	—	2	2	no	—
566	C₂×Dic₇₉	—	2	4	no	—
567	C₂×Dic₇₉	—	2	4	no	—
568	C₂×Dic₇₉	—	2	2	no	—
569	C₂×Dic₇₉	—	2	2	no	—
570	C₂×Dic₇₉	—	2	2	no	—
571	C₂×Dic₇₉	—	4	8	no	—
572	C₂×Dic₇₉	—	4	8	no	—
573	C₂×Dic₇₉	C₂⁵	1	2	yes	—
574	C₂×Dic₇₉	C₂⁵	1	4	yes	—
575	C₂×Dic₇₉	C₂⁵	1	2	yes	—
576	C₂×Dic₇₉	C₂⁵	1	2	yes	—
577	C₂×Dic₇₉	C₂⁵	1	4	yes	—
578	C₂×Dic₇₉	C₂⁵	1	2	yes	—
579	C₂×Dic₇₉	C₂⁵	1	2	yes	—
580	C₂×Dic₇₉	C₂⁵	1	4	yes	—
581	C₂×Dic₇₉	C₂⁵	1	2	yes	—
582	D₃₁₆	—	2	8	no	—
583	D₃₁₆	—	4	8	no	—
584	D₃₁₆	—	4	4	no	—
585	C₄×D₇₉	—	2	8	no	—
586	C₄×D₇₉	—	2	8	no	—
587	C₄×D₇₉	—	4	8	no	—
588	C₄×D₇₉	—	4	8	no	—
589	C₄×D₇₉	—	4	8	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	2	no	—
599	C₂²×C₇₉	—	4	4	no	—
600	C₂²×C₇₉	C₂²×#41	1	8	yes	—
601	C₂²×C₇₉	C₂²×#41	1	2	yes	—
602	C₂²×C₇₉	#585	1	2	yes	—
603	C₂²×C₇₉	#585	1	2	yes	—
604	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
605	C₂×D₇₉	—	2	2	no	—
606	C₂×D₇₉	—	2	4	no	—
607	C₂×D₇₉	—	2	2	no	—
608	C₂×D₇₉	—	2	2	no	—
609	C₂×D₇₉	—	2	4	no	—
610	C₂×D₇₉	—	2	2	no	—
611	C₂×D₇₉	—	2	2	no	—
612	C₂×D₇₉	—	2	4	no	—
613	C₂×D₇₉	—	2	2	no	—
614	C₂×D₇₉	—	4	4	no	—
615	C₂×D₇₉	—	4	8	no	—
616	C₂×D₇₉	—	4	4	no	—
617	C₂×D₇₉	—	8	16	no	—
618	C₄×C₇₉	—	2	2	no	—
619	C₄×C₇₉	—	2	4	no	—
620	C₄×C₇₉	—	2	2	no	—
621	C₄×C₇₉	—	2	2	no	—
622	C₄×C₇₉	—	2	4	no	—
623	C₄×C₇₉	—	2	2	no	—
624	C₄×C₇₉	—	2	2	no	—
625	C₄×C₇₉	—	2	4	no	—
626	C₄×C₇₉	C₂²×#41	1	4	yes	—
627	Dic₇₉	—	2	2	no	—
628	Dic₇₉	—	2	4	no	—
629	Dic₇₉	—	2	2	no	—
630	Dic₇₉	—	2	2	no	—
631	Dic₇₉	—	2	4	no	—
632	Dic₇₉	—	2	2	no	—
633	Dic₇₉	—	2	2	no	—
634	Dic₇₉	—	2	4	no	—
635	Dic₇₉	—	2	2	no	—
636	C₂×#3521	—	79	1	no	maximal, Sylow
637	C₂×C₇₉	—	2	8	no	—
638	C₂×C₇₉	—	4	2	no	—
639	C₂×C₇₉	#3521	1	4	yes	complemented
640	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
641	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
642	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
643	D₇₉	—	4	2	no	—
644	D₇₉	—	4	4	no	—
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	1	no	—
653	C₂×#552	—	79	2	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	—	79	1	no	—
659	C₂×#542	—	79	1	no	—
660	C₂×#541	—	79	1	no	—
661	C₂×#539	—	79	2	no	—
662	C₂×#538	—	79	2	no	—
663	C₂×#529	—	79	1	no	—
664	C₂×#529	—	79	1	no	—
665	C₂×#529	—	79	2	no	—
666	C₂²×#126	—	79	2	no	—
667	C₂×#520	—	79	1	no	—
668	C₂×#518	—	79	1	no	—
669	C₂×C₄×#41	D₇₉	1	1	yes	characteristic, complemented
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	—	79	1	no	—
674	#556	—	79	16	no	—
675	#556	—	79	16	no	—
676	#554	—	79	16	no	—
677	#553	—	79	32	no	—
678	#553	—	79	16	no	—
679	#552	—	79	16	no	—
680	#552	—	79	32	no	—
681	#551	—	79	32	no	—
682	#551	—	79	32	no	—
683	#547	—	79	16	no	—
684	#546	—	79	16	no	—
685	#546	—	79	16	no	—
686	#542	—	79	16	no	—
687	#541	—	79	16	no	—
688	#539	—	79	32	no	—
689	#538	—	79	32	no	—
690	C₂×C₄⋊Q₈	—	79	1	no	—
691	C₂×C₄⋊Q₈	—	79	1	no	—
692	#529	—	79	32	no	—
693	#529	—	79	16	no	—
694	#529	—	79	16	no	—
695	C₂×#126	—	79	2	no	—
696	C₂×#126	—	79	2	no	—
697	C₂×#126	—	79	2	no	—
698	C₂×#126	—	79	1	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	2	no	—
705	C₂×#126	—	79	2	no	—
706	C₂×#126	—	79	1	no	—
707	C₂×#126	—	79	32	no	—
708	C₂×#125	—	79	2	no	—
709	C₂×#125	—	79	2	no	—
710	C₂×#125	—	79	1	no	—
711	C₂×#125	—	79	2	no	—
712	C₂×#125	—	79	1	no	—
713	C₂×#125	—	79	1	no	—
714	C₂×#124	—	79	1	no	—
715	C₂×#124	—	79	2	no	—
716	C₂×#124	—	79	2	no	—
717	C₂×#124	—	79	1	no	—
718	C₂×#124	—	79	1	no	—
719	C₂×#123	—	79	2	no	—
720	C₂×#123	—	79	2	no	—
721	C₂×#123	—	79	2	no	—
722	C₂×#123	—	79	2	no	—
723	C₂×#123	—	79	1	no	—
724	C₂×#123	—	79	1	no	—
725	C₂×#123	—	79	2	no	—
726	C₂×#123	—	79	2	no	—
727	C₂×#123	—	79	2	no	—
728	C₂×#123	—	79	2	no	—
729	C₂×C₂²⋊Q₈	—	79	1	no	—
730	C₂×C₂²⋊Q₈	—	79	1	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₂²⋊Q₈	—	79	1	no	—
733	C₂×C₂²⋊Q₈	—	79	2	no	—
734	C₂×C₂²⋊Q₈	—	79	2	no	—
735	C₂×C₂²⋊Q₈	—	79	1	no	—
736	C₂×C₂²⋊Q₈	—	79	2	no	—
737	C₂×C₂²⋊Q₈	—	79	2	no	—
738	C₂×C₂²⋊Q₈	—	79	2	no	—
739	C₂×#121	—	79	2	no	—
740	C₂×#121	—	79	2	no	—
741	C₂×#121	—	79	1	no	—
742	C₂×#121	—	79	1	no	—
743	C₂×#121	—	79	2	no	—
744	C₂×#121	—	79	1	no	—
745	C₂×#121	—	79	2	no	—
746	C₂×#120	—	79	2	no	—
747	C₂×#120	—	79	2	no	—
748	#520	—	79	16	no	—
749	#518	—	79	16	no	—
750	C₄×#41	C₂×D₇₉	1	16	yes	complemented
751	C₂×C₄×Q₈	—	79	1	no	—
752	C₂×C₄×Q₈	—	79	1	no	—
753	C₂×C₄×Q₈	—	79	2	no	—
754	C₂×C₄×Q₈	—	79	1	no	—
755	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
756	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
757	C₂×C₄×D₄	—	79	1	no	—
758	C₂×C₄×D₄	—	79	1	no	—
759	C₂×C₄×D₄	—	79	2	no	—
760	C₂×C₄×D₄	—	79	2	no	—
761	C₂×C₄×D₄	—	79	1	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	1	no	—
768	C₂×C₄×D₄	—	79	1	no	—
769	C₂×C₄×D₄	—	79	2	no	—
770	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
771	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
772	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
773	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
774	C₂×#117	—	79	1	no	—
775	C₂×#117	—	79	2	no	—
776	C₂×#117	—	79	1	no	—
777	C₂×#117	—	79	1	no	—
778	C₂×#117	—	79	2	no	—
779	C₂×#117	—	79	2	no	—
780	C₂×#117	—	79	2	no	—
781	C₂×#117	C₂×D₇₉	1	2	yes	complemented
782	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
783	C₂²×C₄⋊C₄	—	79	2	no	—
784	C₂²×C₄⋊C₄	—	79	2	no	—
785	C₂²×C₄⋊C₄	—	79	2	no	—
786	C₂²×C₄⋊C₄	—	79	1	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	—	79	2	no	—
791	C₂²×C₄²	C₂×D₇₉	1	2	yes	complemented
792	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
793	C₂⁵	—	79	2	no	—
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	—	79	1	no	—
803	C₂²×D₄	—	79	2	no	—
804	C₂²×D₄	—	79	1	no	—
805	C₂²×D₄	—	79	2	no	—
806	C₂²×D₄	—	79	2	no	—
807	C₂²×D₄	—	79	8	no	—
808	C₂²×D₄	—	79	1	no	—
809	C₂²×D₄	—	79	2	no	—
810	C₂²×D₄	—	79	1	no	—
811	C₂²×D₄	—	158	8	no	—
812	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
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	C₂²×D₇₉	1	2	yes	—
823	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
824	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
825	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
826	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
827	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
828	C₄⋊Q₈	—	79	8	no	—
829	C₄⋊Q₈	—	79	8	no	—
830	#126	—	79	16	no	—
831	#126	—	79	16	no	—
832	#126	—	79	16	no	—
833	#126	—	79	8	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	16	no	—
840	#126	—	79	16	no	—
841	#126	—	79	8	no	—
842	#125	—	79	16	no	—
843	#125	—	79	16	no	—
844	#125	—	79	8	no	—
845	#125	—	79	16	no	—
846	#125	—	79	8	no	—
847	#125	—	79	8	no	—
848	#124	—	79	8	no	—
849	#124	—	79	16	no	—
850	#124	—	79	16	no	—
851	#124	—	79	8	no	—
852	#124	—	79	8	no	—
853	#123	—	79	16	no	—
854	#123	—	79	16	no	—
855	#123	—	79	16	no	—
856	#123	—	79	16	no	—
857	#123	—	79	8	no	—
858	#123	—	79	8	no	—
859	#123	—	79	16	no	—
860	#123	—	79	16	no	—
861	#123	—	79	16	no	—
862	#123	—	79	16	no	—
863	C₂²⋊Q₈	—	79	8	no	—
864	C₂²⋊Q₈	—	79	8	no	—
865	C₂²⋊Q₈	—	79	8	no	—
866	C₂²⋊Q₈	—	79	8	no	—
867	C₂²⋊Q₈	—	79	16	no	—
868	C₂²⋊Q₈	—	79	16	no	—
869	C₂²⋊Q₈	—	79	8	no	—
870	C₂²⋊Q₈	—	79	16	no	—
871	C₂²⋊Q₈	—	79	16	no	—
872	C₂²⋊Q₈	—	79	16	no	—
873	#121	—	79	16	no	—
874	#121	—	79	16	no	—
875	#121	—	79	8	no	—
876	#121	—	79	8	no	—
877	#121	—	79	16	no	—
878	#121	—	79	8	no	—
879	#121	—	79	16	no	—
880	#120	—	79	16	no	—
881	#120	—	79	16	no	—
882	C₄×Q₈	—	79	8	no	—
883	C₄×Q₈	—	79	8	no	—
884	C₄×Q₈	—	79	16	no	—
885	C₄×Q₈	—	79	8	no	—
886	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
887	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
888	C₄×D₄	—	79	8	no	—
889	C₄×D₄	—	79	8	no	—
890	C₄×D₄	—	79	16	no	—
891	C₄×D₄	—	79	16	no	—
892	C₄×D₄	—	79	8	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	8	no	—
899	C₄×D₄	—	79	8	no	—
900	C₄×D₄	—	79	16	no	—
901	C₄×D₄	C₂²×D₇₉	1	8	yes	—
902	C₄×D₄	C₂²×D₇₉	1	8	yes	—
903	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
904	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
905	#117	—	79	8	no	—
906	#117	—	79	16	no	—
907	#117	—	79	8	no	—
908	#117	—	79	8	no	—
909	#117	—	79	16	no	—
910	#117	—	79	16	no	—
911	#117	—	79	16	no	—
912	#117	C₂²×D₇₉	1	16	yes	complemented
913	#117	C₂²×D₇₉	1	8	yes	complemented
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	2	no	—
919	C₂×C₄⋊C₄	—	79	2	no	—
920	C₂×C₄⋊C₄	—	79	1	no	—
921	C₂×C₄⋊C₄	—	79	2	no	—
922	C₂×C₄⋊C₄	—	79	2	no	—
923	C₂×C₄⋊C₄	—	79	16	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	16	no	—
929	C₂×C₄⋊C₄	—	79	16	no	—
930	C₂×C₄⋊C₄	—	79	1	no	—
931	C₂×C₄⋊C₄	—	79	1	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	2	no	—
936	C₂×C₄⋊C₄	—	79	2	no	—
937	C₂×C₄⋊C₄	—	79	2	no	—
938	C₂×C₄⋊C₄	—	79	1	no	—
939	C₂×C₄⋊C₄	—	79	2	no	—
940	C₂×C₄⋊C₄	—	79	1	no	—
941	C₂×C₄⋊C₄	—	79	1	no	—
942	C₂×C₄⋊C₄	—	79	2	no	—
943	C₂×C₄⋊C₄	—	79	8	no	—
944	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
947	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
948	C₂×C₂²⋊C₄	—	79	2	no	—
949	C₂×C₂²⋊C₄	—	79	2	no	—
950	C₂×C₂²⋊C₄	—	79	1	no	—
951	C₂×C₂²⋊C₄	—	79	2	no	—
952	C₂×C₂²⋊C₄	—	79	1	no	—
953	C₂×C₂²⋊C₄	—	79	1	no	—
954	C₂×C₂²⋊C₄	—	79	2	no	—
955	C₂×C₂²⋊C₄	—	79	1	no	—
956	C₂×C₂²⋊C₄	—	79	1	no	—
957	C₂×C₂²⋊C₄	—	79	1	no	—
958	C₂×C₂²⋊C₄	—	79	2	no	—
959	C₂×C₂²⋊C₄	—	79	2	no	—
960	C₂×C₂²⋊C₄	—	79	2	no	—
961	C₂×C₂²⋊C₄	—	79	2	no	—
962	C₂×C₂²⋊C₄	—	79	16	no	—
963	C₂×C₂²⋊C₄	—	79	2	no	—
964	C₂×C₂²⋊C₄	—	79	2	no	—
965	C₂×C₂²⋊C₄	—	79	2	no	—
966	C₂×C₂²⋊C₄	—	79	2	no	—
967	C₂×C₂²⋊C₄	—	79	16	no	—
968	C₂×C₂²⋊C₄	—	79	16	no	—
969	C₂×C₂²⋊C₄	—	79	1	no	—
970	C₂×C₂²⋊C₄	—	79	1	no	—
971	C₂×C₂²⋊C₄	—	79	1	no	—
972	C₂×C₂²⋊C₄	—	79	2	no	—
973	C₂×C₂²⋊C₄	—	79	2	no	—
974	C₂×C₂²⋊C₄	—	79	2	no	—
975	C₂×C₂²⋊C₄	—	79	1	no	—
976	C₂×C₂²⋊C₄	—	79	16	no	—
977	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
979	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
980	C₂×C₄²	—	79	2	no	—
981	C₂×C₄²	—	79	2	no	—
982	C₂×C₄²	—	79	2	no	—
983	C₂×C₄²	—	79	1	no	—
984	C₂×C₄²	—	79	1	no	—
985	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
986	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
987	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
988	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
989	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
990	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
991	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
992	C₂×C₄²	C₂²×D₇₉	1	16	yes	complemented
993	C₂×C₄²	C₂²×D₇₉	1	8	yes	complemented
994	C₂⁴	—	316	4	no	—
995	C₂⁴	—	316	4	no	—
996	C₂⁴	—	79	8	no	—
997	C₂⁴	—	79	1	no	—
998	C₂⁴	—	79	2	no	—
999	C₂⁴	—	79	1	no	—
1000	C₂⁴	—	158	8	no	—
1001	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1002	C₂⁴	C₂³×D₇₉	1	2	yes	—
1003	#41	—	2	32	no	—
1004	#41	—	158	32	no	—
1005	C₂×Q₈	—	2	4	no	—
1006	C₂×Q₈	—	316	2	no	—
1007	C₂×Q₈	—	316	4	no	—
1008	C₂×Q₈	—	79	4	no	—
1009	C₂×Q₈	—	79	8	no	—
1010	C₂×Q₈	—	79	4	no	—
1011	C₂×Q₈	—	158	4	no	—
1012	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	316	2	no	—
1015	C₂×D₄	—	316	4	no	—
1016	C₂×D₄	—	316	4	no	—
1017	C₂×D₄	—	316	2	no	—
1018	C₂×D₄	—	316	2	no	—
1019	C₂×D₄	—	79	4	no	—
1020	C₂×D₄	—	79	8	no	—
1021	C₂×D₄	—	79	4	no	—
1022	C₂×D₄	—	79	8	no	—
1023	C₂×D₄	—	79	8	no	—
1024	C₂×D₄	—	79	4	no	—
1025	C₂×D₄	—	79	8	no	—
1026	C₂×D₄	—	79	4	no	—
1027	C₂×D₄	—	158	8	no	—
1028	C₂×D₄	—	158	8	no	—
1029	C₂×D₄	—	158	32	no	—
1030	C₂×D₄	—	158	4	no	—
1031	C₂×D₄	#11929624	1	8	yes	—
1032	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1033	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1034	C₂²×C₄	—	2	8	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	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	—	79	8	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	1	no	—
1052	C₂²×C₄	—	79	2	no	—
1053	C₂²×C₄	—	79	1	no	—
1054	C₂²×C₄	—	79	1	no	—
1055	C₂²×C₄	—	79	2	no	—
1056	C₂²×C₄	—	79	1	no	—
1057	C₂²×C₄	—	79	1	no	—
1058	C₂²×C₄	—	79	2	no	—
1059	C₂²×C₄	—	79	1	no	—
1060	C₂²×C₄	—	79	4	no	—
1061	C₂²×C₄	—	79	4	no	—
1062	C₂²×C₄	—	158	8	no	—
1063	C₂²×C₄	—	158	4	no	—
1064	C₂²×C₄	—	158	4	no	—
1065	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1066	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1067	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1069	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1073	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1075	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1076	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1077	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1078	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1079	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1080	C₄⋊C₄	—	79	4	no	—
1081	C₄⋊C₄	—	79	8	no	—
1082	C₄⋊C₄	—	79	4	no	—
1083	C₄⋊C₄	—	79	4	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	8	no	—
1089	C₄⋊C₄	—	79	8	no	—
1090	C₄⋊C₄	—	79	8	no	—
1091	C₄⋊C₄	—	79	8	no	—
1092	C₄⋊C₄	—	79	4	no	—
1093	C₄⋊C₄	—	79	4	no	—
1094	C₄⋊C₄	—	79	4	no	—
1095	C₄⋊C₄	—	79	4	no	—
1096	C₄⋊C₄	—	79	8	no	—
1097	C₄⋊C₄	—	79	8	no	—
1098	C₄⋊C₄	—	79	8	no	—
1099	C₄⋊C₄	—	79	4	no	—
1100	C₄⋊C₄	—	79	4	no	—
1101	C₄⋊C₄	—	79	4	no	—
1102	C₄⋊C₄	—	79	8	no	—
1103	C₄⋊C₄	—	79	4	no	—
1104	C₄⋊C₄	—	79	4	no	—
1105	C₄⋊C₄	—	79	8	no	—
1106	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1109	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1110	C₂²⋊C₄	—	79	8	no	—
1111	C₂²⋊C₄	—	79	8	no	—
1112	C₂²⋊C₄	—	79	4	no	—
1113	C₂²⋊C₄	—	79	8	no	—
1114	C₂²⋊C₄	—	79	4	no	—
1115	C₂²⋊C₄	—	79	4	no	—
1116	C₂²⋊C₄	—	79	4	no	—
1117	C₂²⋊C₄	—	79	8	no	—
1118	C₂²⋊C₄	—	79	4	no	—
1119	C₂²⋊C₄	—	79	4	no	—
1120	C₂²⋊C₄	—	79	8	no	—
1121	C₂²⋊C₄	—	79	8	no	—
1122	C₂²⋊C₄	—	79	8	no	—
1123	C₂²⋊C₄	—	79	8	no	—
1124	C₂²⋊C₄	—	79	8	no	—
1125	C₂²⋊C₄	—	79	8	no	—
1126	C₂²⋊C₄	—	79	8	no	—
1127	C₂²⋊C₄	—	79	8	no	—
1128	C₂²⋊C₄	—	79	4	no	—
1129	C₂²⋊C₄	—	79	4	no	—
1130	C₂²⋊C₄	—	79	4	no	—
1131	C₂²⋊C₄	—	79	8	no	—
1132	C₂²⋊C₄	—	79	8	no	—
1133	C₂²⋊C₄	—	79	8	no	—
1134	C₂²⋊C₄	—	79	4	no	—
1135	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1136	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1137	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1138	C₄²	—	79	8	no	—
1139	C₄²	—	79	8	no	—
1140	C₄²	—	79	8	no	—
1141	C₄²	—	79	4	no	—
1142	C₄²	—	79	4	no	—
1143	C₄²	C₂³×D₇₉	1	4	yes	—
1144	C₄²	C₂³×D₇₉	1	4	yes	—
1145	C₄²	C₂³×D₇₉	1	4	yes	—
1146	C₄²	C₂³×D₇₉	1	8	yes	—
1147	C₄²	C₂³×D₇₉	1	8	yes	—
1148	C₄²	C₂³×D₇₉	1	4	yes	—
1149	C₄²	C₂³×D₇₉	1	8	yes	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	316	8	no	—
1156	C₂³	—	316	8	no	—
1157	C₂³	—	79	2	no	—
1158	C₂³	—	79	4	no	—
1159	C₂³	—	79	2	no	—
1160	C₂³	—	632	16	no	—
1161	C₂³	—	158	2	no	—
1162	C₂³	—	158	4	no	—
1163	C₂³	—	158	4	no	—
1164	C₂³	—	158	2	no	—
1165	C₂³	—	158	2	no	—
1166	C₂³	—	158	2	no	—
1167	C₂³	—	158	2	no	—
1168	C₂³	—	158	2	no	—
1169	C₂³	—	158	4	no	—
1170	C₂³	—	158	16	no	—
1171	C₂³	C₂×#11929624	1	8	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	4	no	—
1177	Q₈	—	316	8	no	—
1178	Q₈	—	158	8	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	316	4	no	—
1181	D₄	—	316	8	no	—
1182	D₄	—	316	8	no	—
1183	D₄	—	316	4	no	—
1184	D₄	—	316	4	no	—
1185	D₄	—	158	16	no	—
1186	D₄	—	158	16	no	—
1187	D₄	—	158	8	no	—
1188	D₄	C₂×#11929624	1	16	yes	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	4	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	16	no	—
1198	C₂×C₄	—	2	8	no	—
1199	C₂×C₄	—	4	8	no	—
1200	C₂×C₄	—	4	4	no	—
1201	C₂×C₄	—	4	8	no	—
1202	C₂×C₄	—	4	4	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	—	316	8	no	—
1208	C₂×C₄	—	79	2	no	—
1209	C₂×C₄	—	79	4	no	—
1210	C₂×C₄	—	79	2	no	—
1211	C₂×C₄	—	79	4	no	—
1212	C₂×C₄	—	79	2	no	—
1213	C₂×C₄	—	79	2	no	—
1214	C₂×C₄	—	79	4	no	—
1215	C₂×C₄	—	79	2	no	—
1216	C₂×C₄	—	79	2	no	—
1217	C₂×C₄	—	158	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	2	no	—
1224	C₂×C₄	—	158	2	no	—
1225	C₂×C₄	—	158	4	no	—
1226	C₂×C₄	—	158	16	no	—
1227	C₂×C₄	—	158	8	no	—
1228	C₂×C₄	—	158	8	no	—
1229	C₂×C₄	C₂×#11929624	1	4	yes	—
1230	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1231	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1232	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1234	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1235	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1236	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₇₉	1	4	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	2	no	—
1245	C₂²	—	4	4	no	—
1246	C₂²	—	316	4	no	—
1247	C₂²	—	316	8	no	—
1248	C₂²	—	316	4	no	—
1249	C₂²	—	632	16	no	—
1250	C₂²	—	158	2	no	—
1251	C₂²	—	158	2	no	—
1252	C₂²	—	158	4	no	—
1253	C₂²	—	158	2	no	—
1254	C₂²	—	158	4	no	—
1255	C₂²	—	158	4	no	—
1256	C₂²	—	158	2	no	—
1257	C₂²	—	158	2	no	—
1258	C₂²	—	158	2	no	—
1259	C₂²	C₂²×#11929624	1	8	yes	—
1260	C₂²	C₂²×#11929624	1	2	yes	—
1261	C₂²	#19099399	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	4	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	4	no	—
1272	C₄	—	158	2	no	—
1273	C₄	—	158	2	no	—
1274	C₄	—	158	4	no	—
1275	C₄	—	158	4	no	—
1276	C₄	—	158	2	no	—
1277	C₄	—	158	2	no	—
1278	C₄	—	158	4	no	—
1279	C₄	—	158	2	no	—
1280	C₄	—	158	2	no	—
1281	C₄	C₂²×#11929624	1	4	yes	—
1282	C₂	—	2	8	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	316	2	no	—
1285	C₂	—	316	4	no	—
1286	C₂	—	316	2	no	—
1287	C₂	#23777468	1	4	yes	direct product factor
1288	C₂	C₂³×#11929624	1	1	yes	characteristic
1289	C₂	C₂×#19099399	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×C₄×#41×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×C₄×#41	D₇₉
hypocenter	C₇₉	C₂×#3521
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×#41

Complements

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

N	H ≅ G/N	type
1. #23777468	C₂	direct (N × H)
2. C₂×#19099285	C₂	semidirect
3. C₂×#19099281	C₂	semidirect
4. C₂×#19099272	C₂	semidirect
5. C₂×#19099262	C₂	semidirect
6. C₂×#19099257	C₂	semidirect
7. C₂×#19099254	C₂	semidirect
8. C₂×#19099246	C₂	semidirect
9. C₂×#19099242	C₂	semidirect
10. C₂×#19099237	C₂	semidirect
11. C₂×#19099212	C₂	semidirect
12. C₂×#19099208	C₂	semidirect
13. C₂×#19099201	C₂	semidirect
14. C₂×#19099185	C₂	semidirect
15. C₂×#19099171	C₂	semidirect
16. C₂×#19099155	C₂	semidirect
17. C₂×#19099146	C₂	semidirect
18. C₂×#19099097	C₂	semidirect
19. C₂×#19099097	C₂	semidirect
20. C₂×#19099097	C₂	semidirect
21. C₂²×#14579155	C₂	semidirect
22. C₂×#19099042	C₂	semidirect
23. C₂×#19099035	C₂	semidirect
24. C₂×C₄×#41×C₇₉	C₂	semidirect
27. #19099285	C₂²	semidirect
28. #19099281	C₂²	semidirect
29. #19099272	C₂²	semidirect
30. #19099262	C₂²	semidirect
31. #19099257	C₂²	semidirect
32. #19099254	C₂²	semidirect
33. #19099246	C₂²	semidirect
34. #19099242	C₂²	semidirect
35. #19099237	C₂²	semidirect
36. #19099212	C₂²	semidirect
37. #19099208	C₂²	semidirect
38. #19099201	C₂²	semidirect
39. #19099185	C₂²	semidirect
40. #19099171	C₂²	semidirect
41. #19099155	C₂²	semidirect
42. #19099146	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
44. C₂×#14579159	C₂²	semidirect
45. #19099097	C₂²	semidirect
46. #19099097	C₂²	semidirect
47. #19099097	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
54. C₂×#14579155	C₂²	semidirect
55. C₂×#14579155	C₂²	semidirect
56. C₂×#14579155	C₂²	semidirect
57. C₂×#14579155	C₂²	semidirect
58. C₂×#14579155	C₂²	semidirect
59. C₂×#14579155	C₂²	semidirect
60. C₂×#14579154	C₂²	semidirect
61. C₂×#14579153	C₂²	semidirect
62. C₂×#14579153	C₂²	semidirect
63. C₂×#14579153	C₂²	semidirect
64. C₂×#14579152	C₂²	semidirect
65. C₂×#14579151	C₂²	semidirect
66. C₂×#14579151	C₂²	semidirect
70. C₂×#14579149	C₂²	semidirect
73. C₂×#14579146	C₂²	semidirect
77. C₂×#14579144	C₂²	semidirect
78. C₂×#14579144	C₂²	semidirect
79. C₂×#14579144	C₂²	semidirect
80. C₂×#14579143	C₂²	semidirect
81. C₂×#14579142	C₂²	semidirect
83. C₂×#14579140	C₂²	semidirect
84. C₂×#14579140	C₂²	semidirect
85. C₂×#14579140	C₂²	semidirect
86. C₂×#14579139	C₂²	semidirect
87. C₂×#14579139	C₂²	semidirect
88. C₂×#14579138	C₂²	semidirect
89. C₂×#14579138	C₂²	semidirect
91. C₂×#14579137	C₂²	semidirect
96. C₂×#14579134	C₂²	semidirect
98. C₂×#14579133	C₂²	semidirect
101. #19099042	C₂²	semidirect
102. #19099035	C₂²	semidirect
103. C₂×C₄×Dic₁₅₈	C₂²	semidirect
104. C₂×C₄×Dic₁₅₈	C₂²	semidirect
105. C₂×C₄×Dic₁₅₈	C₂²	semidirect
106. C₂×#14579126	C₂²	semidirect
109. C₂×C₄×D₃₁₆	C₂²	semidirect
115. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
116. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
117. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
119. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
122. C₂×#14579118	C₂²	semidirect
123. C₂×#14579118	C₂²	semidirect
124. C₂×#14579118	C₂²	semidirect
125. C₂×#14579118	C₂²	semidirect
126. C₂×#14579117	C₂²	semidirect
127. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
128. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
129. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
130. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
136. C₄×#41×C₇₉	C₂²	semidirect
137. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
138. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
141. C₂×C₄×D₄×C₇₉	C₂²	semidirect
142. C₂×C₄×D₄×C₇₉	C₂²	semidirect
143. C₂×#117×C₇₉	C₂²	semidirect
144. C₂×#117×C₇₉	C₂²	semidirect
145. C₂²×C₄²×C₇₉	C₂²	semidirect
146. C₂²×C₄²×C₇₉	C₂²	semidirect
171. #14579160	C₂³	semidirect
172. #14579159	C₂³	semidirect
174. #14579156	C₂³	semidirect
179. #14579155	C₂³	semidirect
180. #14579155	C₂³	semidirect
181. #14579155	C₂³	semidirect
182. #14579155	C₂³	semidirect
183. #14579155	C₂³	semidirect
184. #14579154	C₂³	semidirect
185. #14579153	C₂³	semidirect
186. #14579153	C₂³	semidirect
187. #14579153	C₂³	semidirect
188. #14579152	C₂³	semidirect
189. #14579151	C₂³	semidirect
190. #14579151	C₂³	semidirect
194. #14579149	C₂³	semidirect
197. #14579146	C₂³	semidirect
201. #14579144	C₂³	semidirect
202. #14579144	C₂³	semidirect
203. #14579144	C₂³	semidirect
204. #14579143	C₂³	semidirect
205. #14579142	C₂³	semidirect
207. #14579140	C₂³	semidirect
208. #14579140	C₂³	semidirect
209. #14579140	C₂³	semidirect
210. #14579139	C₂³	semidirect
211. #14579139	C₂³	semidirect
212. #14579138	C₂³	semidirect
213. #14579138	C₂³	semidirect
215. #14579137	C₂³	semidirect
220. #14579134	C₂³	semidirect
222. #14579133	C₂³	semidirect
225. C₄×Dic₁₅₈	C₂³	semidirect
226. C₄×Dic₁₅₈	C₂³	semidirect
227. C₄×Dic₁₅₈	C₂³	semidirect
228. #14579126	C₂³	semidirect
231. C₄×D₃₁₆	C₂³	semidirect
237. C₄×C₂²⋊D₇₉	C₂³	semidirect
238. C₄×C₂²⋊D₇₉	C₂³	semidirect
239. C₄×C₂²⋊D₇₉	C₂³	semidirect
241. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
244. #14579118	C₂³	semidirect
245. #14579118	C₂³	semidirect
246. #14579118	C₂³	semidirect
247. #14579118	C₂³	semidirect
248. #14579117	C₂³	semidirect
275. C₂×Dic₇₉⋊C₄	C₂³	semidirect
276. C₂×Dic₇₉⋊C₄	C₂³	semidirect
277. C₂×Dic₇₉⋊C₄	C₂³	semidirect
278. C₄⋊C₄×D₇₉	C₂³	semidirect
324. C₄×Q₈×C₇₉	C₂³	semidirect
325. C₄×Q₈×C₇₉	C₂³	semidirect
328. C₄×D₄×C₇₉	C₂³	semidirect
329. C₄×D₄×C₇₉	C₂³	semidirect
330. #117×C₇₉	C₂³	semidirect
331. #117×C₇₉	C₂³	semidirect
346. C₂×C₄²×C₇₉	C₂³	semidirect
347. C₂×C₄²×C₇₉	C₂³	semidirect
639. C₂×C₇₉	#3521	semidirect
669. C₂×C₄×#41	D₇₉	semidirect
670. C₇₉	C₂×#3521	semidirect
750. C₄×#41	C₂×D₇₉	semidirect
755. C₂×C₄×Q₈	C₂×D₇₉	semidirect
756. C₂×C₄×Q₈	C₂×D₇₉	semidirect
772. C₂×C₄×D₄	C₂×D₇₉	semidirect
773. C₂×C₄×D₄	C₂×D₇₉	semidirect
781. C₂×#117	C₂×D₇₉	semidirect
782. C₂×#117	C₂×D₇₉	semidirect
791. C₂²×C₄²	C₂×D₇₉	semidirect
792. C₂²×C₄²	C₂×D₇₉	semidirect
886. C₄×Q₈	C₂²×D₇₉	semidirect
887. C₄×Q₈	C₂²×D₇₉	semidirect
903. C₄×D₄	C₂²×D₇₉	semidirect
904. C₄×D₄	C₂²×D₇₉	semidirect
912. #117	C₂²×D₇₉	semidirect
913. #117	C₂²×D₇₉	semidirect
992. C₂×C₄²	C₂²×D₇₉	semidirect
993. C₂×C₄²	C₂²×D₇₉	semidirect
1287. C₂	#23777468	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777468	2
C₂×#19099285	2
C₂×#19099281	2
C₂×#19099272	2
C₂×#19099262	2
C₂×#19099257	2
C₂×#19099254	2
C₂×#19099246	2
C₂×#19099242	2
C₂×#19099237	2
C₂×#19099212	2
C₂×#19099208	2
C₂×#19099201	2
C₂×#19099185	2
C₂×#19099171	2
C₂×#19099155	2
C₂×#19099146	2
C₂×#19099097	2
C₂²×#14579155	2
C₂×#19099042	2
C₂×#19099035	2
C₂×C₄×#41×C₇₉	2
C₂×#3521	79

Subgroups — C2×#23777468 #35196403

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777468 #35196403