Subgroups — C₂×#542×D₇₉ #35195048

Order 20224.

7974 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099187	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#19099186	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099185	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099184	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099183	C₂	1	2	yes	maximal, complemented
6	C₂×#19099182	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099181	C₂	1	2	yes	maximal, complemented
8	C₂×#19099180	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19099179	C₂	1	2	yes	maximal, complemented
10	C₂×#19099178	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099177	C₂	1	2	yes	maximal, complemented
12	#542×D₇₉	C₂	1	32	yes	maximal, direct product factor
13	C₂×C₄⋊Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#126×D₇₉	C₂	1	2	yes	maximal, complemented
15	C₂×#124×D₇₉	C₂	1	2	yes	maximal, complemented
16	C₂×#124×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#123×D₇₉	C₂	1	2	yes	maximal, complemented
18	C₂×C₂²⋊Q₈×D₇₉	C₂	1	2	yes	maximal, complemented
19	C₂×C₂²⋊Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#121×D₇₉	C₂	1	1	yes	maximal, characteristic
21	C₂×C₄×Q₈×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#542×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₇₉	C₂²	1	2	yes	—
27	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₇₉	C₂²	1	2	yes	—
29	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₇₉	C₂²	1	2	yes	—
31	#19099187	C₂²	1	16	yes	complemented
32	#19099186	C₂²	1	16	yes	complemented
33	#19099185	C₂²	1	16	yes	complemented
34	#19099184	C₂²	1	16	yes	complemented
35	#19099183	C₂²	1	32	yes	complemented
36	#19099182	C₂²	1	16	yes	complemented
37	#19099181	C₂²	1	32	yes	complemented
38	#19099180	C₂²	1	16	yes	complemented
39	#19099179	C₂²	1	32	yes	complemented
40	#19099178	C₂²	1	16	yes	complemented
41	#19099177	C₂²	1	32	yes	complemented
42	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
43	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14579160	C₂²	1	2	yes	complemented
45	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
46	C₂×#14579159	C₂²	1	2	yes	complemented
47	C₄⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579156	C₂²	1	2	yes	complemented
51	C₂×#14579155	C₂²	1	2	yes	complemented
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	#126×D₇₉	C₂²	1	32	yes	complemented
56	C₂×#14579150	C₂²	1	2	yes	complemented
57	C₂×#14579150	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579149	C₂²	1	2	yes	complemented
59	C₂×#14579149	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
61	C₂×#14579148	C₂²	1	2	yes	complemented
62	C₂×#14579147	C₂²	1	2	yes	complemented
63	C₂×#14579147	C₂²	1	2	yes	complemented
64	C₂×#14579147	C₂²	1	2	yes	complemented
65	C₂×#14579147	C₂²	1	2	yes	complemented
66	C₂×#14579147	C₂²	1	2	yes	complemented
67	C₂×#14579147	C₂²	1	2	yes	complemented
68	#124×D₇₉	C₂²	1	16	yes	complemented
69	#124×D₇₉	C₂²	1	32	yes	complemented
70	C₂×#14579146	C₂²	1	2	yes	complemented
71	C₂×#14579146	C₂²	1	2	yes	complemented
72	C₂×#14579145	C₂²	1	2	yes	complemented
73	C₂×#14579144	C₂²	1	2	yes	complemented
74	C₂×#14579143	C₂²	1	2	yes	complemented
75	C₂×#14579143	C₂²	1	2	yes	complemented
76	C₂×#14579142	C₂²	1	2	yes	complemented
77	#123×D₇₉	C₂²	1	32	yes	complemented
78	C₂×#14579141	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14579141	C₂²	1	2	yes	complemented
80	C₂×#14579140	C₂²	1	2	yes	complemented
81	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14579139	C₂²	1	2	yes	complemented
83	C₂×#14579139	C₂²	1	2	yes	complemented
84	C₂×#14579139	C₂²	1	2	yes	complemented
85	C₂×#14579138	C₂²	1	2	yes	complemented
86	C₂×#14579138	C₂²	1	2	yes	complemented
87	C₂×#14579138	C₂²	1	2	yes	complemented
88	C₂×#14579137	C₂²	1	2	yes	complemented
89	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
90	C₂²⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
91	C₂²⋊Q₈×D₇₉	C₂²	1	32	yes	complemented
92	C₂×#14579136	C₂²	1	1	yes	characteristic
93	C₂×#14579135	C₂²	1	1	yes	characteristic
94	C₂×#14579134	C₂²	1	2	yes	—
95	C₂×#14579133	C₂²	1	2	yes	—
96	C₂×#14579132	C₂²	1	1	yes	characteristic
97	#121×D₇₉	C₂²	1	16	yes	—
98	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
100	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14579126	C₂²	1	2	yes	complemented
103	C₄×Q₈×D₇₉	C₂²	1	16	yes	complemented
104	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
105	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
108	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
109	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
110	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579117	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14579117	C₂²	1	1	yes	characteristic, complemented
117	#117×D₇₉	C₂²	1	16	yes	complemented
118	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
119	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
120	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
121	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
122	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	—
123	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	—
124	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	—
125	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
126	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
127	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
128	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
132	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
133	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
134	C₂×C₄²×D₇₉	C₂²	1	2	yes	—
135	#542×C₇₉	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
138	C₂×#124×C₇₉	C₂²	1	2	yes	complemented
139	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₉	C₂³	1	2	yes	—
149	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
150	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
151	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
152	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
153	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
154	C₂×Q₈×D₇₉	—	2	8	no	—
155	C₂×Q₈×D₇₉	—	4	8	no	—
156	C₂×Q₈×D₇₉	C₂³	1	8	yes	—
157	C₂×Q₈×D₇₉	C₂³	1	16	yes	—
158	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
159	C₂²×D₃₁₆	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂×D₄×D₇₉	—	2	8	no	—
164	C₂×D₄×D₇₉	—	4	8	no	—
165	C₂×D₄×D₇₉	C₂³	1	8	yes	—
166	C₂×D₄×D₇₉	C₂³	1	16	yes	—
167	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
168	C₂³×Dic₇₉	C₂³	1	2	yes	—
169	C₂²×C₄×D₇₉	—	2	8	no	—
170	C₂²×C₄×D₇₉	—	4	8	no	—
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
174	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
175	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
177	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
179	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
180	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₇₉	C₂³	1	16	yes	—
183	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
185	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
186	#14579161	C₂³	1	8	yes	complemented
187	#14579160	C₂³	1	8	yes	complemented
188	#14579160	C₂³	1	16	yes	complemented
189	#14579160	C₂³	1	8	yes	complemented
190	#14579159	C₂³	1	16	yes	complemented
191	#14579156	C₂³	1	16	yes	complemented
192	#14579156	C₂³	1	16	yes	complemented
193	#14579156	C₂³	1	16	yes	complemented
194	#14579155	C₂³	1	16	yes	complemented
195	#14579154	C₂³	1	16	yes	complemented
196	#14579154	C₂³	1	16	yes	complemented
197	#14579154	C₂³	1	16	yes	complemented
198	#14579150	C₂³	1	16	yes	complemented
199	#14579150	C₂³	1	8	yes	complemented
200	#14579149	C₂³	1	16	yes	complemented
201	#14579149	C₂³	1	8	yes	complemented
202	#14579148	C₂³	1	8	yes	complemented
203	#14579148	C₂³	1	16	yes	complemented
204	#14579147	C₂³	1	16	yes	complemented
205	#14579147	C₂³	1	16	yes	complemented
206	#14579147	C₂³	1	16	yes	complemented
207	#14579147	C₂³	1	16	yes	complemented
208	#14579147	C₂³	1	16	yes	complemented
209	#14579147	C₂³	1	16	yes	complemented
210	#14579146	C₂³	1	16	yes	complemented
211	#14579146	C₂³	1	16	yes	complemented
212	#14579145	C₂³	1	16	yes	complemented
213	#14579144	C₂³	1	16	yes	complemented
214	#14579143	C₂³	1	16	yes	complemented
215	#14579143	C₂³	1	16	yes	complemented
216	#14579142	C₂³	1	16	yes	complemented
217	#14579141	C₂³	1	8	yes	complemented
218	#14579141	C₂³	1	16	yes	complemented
219	#14579140	C₂³	1	16	yes	complemented
220	#14579140	C₂³	1	8	yes	complemented
221	#14579139	C₂³	1	16	yes	complemented
222	#14579139	C₂³	1	16	yes	complemented
223	#14579139	C₂³	1	16	yes	complemented
224	#14579138	C₂³	1	16	yes	complemented
225	#14579138	C₂³	1	16	yes	complemented
226	#14579138	C₂³	1	16	yes	complemented
227	#14579137	C₂³	1	16	yes	complemented
228	#14579137	C₂³	1	8	yes	complemented
229	#14579136	C₂³	1	8	yes	—
230	#14579135	C₂³	1	8	yes	—
231	#14579134	C₂³	1	16	yes	—
232	#14579133	C₂³	1	16	yes	—
233	#14579132	C₂³	1	8	yes	—
234	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
235	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
236	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
237	#14579126	C₂³	1	8	yes	complemented
238	#14579126	C₂³	1	16	yes	complemented
239	C₄×D₃₁₆	C₂³	1	8	yes	complemented
240	D₄×Dic₇₉	C₂³	1	8	yes	complemented
241	#14579123	C₂³	1	8	yes	complemented
242	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
243	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
244	#14579120	C₂³	1	8	yes	complemented
245	#14579119	C₂³	1	8	yes	complemented
246	#14579119	C₂³	1	8	yes	complemented
247	#14579118	C₂³	1	8	yes	complemented
248	#14579118	C₂³	1	8	yes	complemented
249	#14579117	C₂³	1	8	yes	complemented
250	#14579117	C₂³	1	8	yes	complemented
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	1	yes	characteristic
255	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
258	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
268	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
270	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
271	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
272	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
273	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
274	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
275	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
276	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
277	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
298	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
299	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
300	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
301	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
302	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
303	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
304	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
305	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
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	C₄²×D₇₉	C₂³	1	8	yes	—
315	C₄²×D₇₉	C₂³	1	8	yes	—
316	C₄²×D₇₉	C₂³	1	16	yes	—
317	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
318	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
321	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
323	C₄⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
324	#126×C₇₉	C₂³	1	16	yes	complemented
325	#124×C₇₉	C₂³	1	16	yes	complemented
326	#124×C₇₉	C₂³	1	8	yes	complemented
327	#123×C₇₉	C₂³	1	16	yes	complemented
328	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
329	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
330	#121×C₇₉	C₂³	1	8	yes	—
331	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
332	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
333	#117×C₇₉	C₂³	1	8	yes	complemented
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	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
351	C₂³×D₇₉	—	2	4	no	—
352	C₂³×D₇₉	—	2	8	no	—
353	C₂³×D₇₉	—	2	8	no	—
354	C₂³×D₇₉	—	2	4	no	—
355	C₂³×D₇₉	—	2	4	no	—
356	C₂³×D₇₉	—	2	8	no	—
357	C₂³×D₇₉	C₂⁴	1	4	yes	—
358	C₂³×D₇₉	C₂⁴	1	8	yes	—
359	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
360	C₂³×D₇₉	C₂⁴	1	2	yes	—
361	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
362	C₂×Dic₁₅₈	—	2	8	no	—
363	C₂×Dic₁₅₈	—	2	4	no	—
364	C₂×Dic₁₅₈	—	4	4	no	—
365	C₂×Dic₁₅₈	—	4	4	no	—
366	C₂×Dic₁₅₈	—	4	4	no	—
367	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
368	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
369	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
370	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
371	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
372	Q₈×D₇₉	—	2	32	no	—
373	Q₈×D₇₉	—	4	32	no	—
374	C₂×D₃₁₆	—	2	4	no	—
375	C₂×D₃₁₆	—	4	4	no	—
376	C₂×D₃₁₆	C₂⁴	1	4	yes	—
377	C₂×D₃₁₆	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₇₉	—	2	8	no	—
379	C₂×C₂²⋊D₇₉	—	4	4	no	—
380	C₂×C₂²⋊D₇₉	—	4	4	no	—
381	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
382	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
384	D₄×D₇₉	—	2	32	no	—
385	D₄×D₇₉	—	4	32	no	—
386	C₂²×Dic₇₉	—	2	4	no	—
387	C₂²×Dic₇₉	—	4	4	no	—
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
390	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
391	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
392	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
397	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
398	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×D₇₉	—	2	4	no	—
400	C₂×C₄×D₇₉	—	2	32	no	—
401	C₂×C₄×D₇₉	—	2	8	no	—
402	C₂×C₄×D₇₉	—	2	4	no	—
403	C₂×C₄×D₇₉	—	2	4	no	—
404	C₂×C₄×D₇₉	—	2	8	no	—
405	C₂×C₄×D₇₉	—	2	8	no	—
406	C₂×C₄×D₇₉	—	2	4	no	—
407	C₂×C₄×D₇₉	—	2	4	no	—
408	C₂×C₄×D₇₉	—	2	4	no	—
409	C₂×C₄×D₇₉	—	2	4	no	—
410	C₂×C₄×D₇₉	—	4	4	no	—
411	C₂×C₄×D₇₉	—	4	4	no	—
412	C₂×C₄×D₇₉	—	4	32	no	—
413	C₂×C₄×D₇₉	#41	1	8	yes	—
414	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
415	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
416	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
417	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
418	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
419	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
420	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
421	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
422	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
423	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
424	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
425	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
426	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
427	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
428	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
429	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
430	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
432	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
433	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
434	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
435	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
436	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
438	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
439	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
440	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
441	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
442	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
443	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
444	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
445	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
447	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
448	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
452	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
456	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
457	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
467	C₄×Dic₇₉	C₂⁴	1	4	yes	—
468	C₄×Dic₇₉	C₂⁴	1	4	yes	—
469	C₄×Dic₇₉	C₂⁴	1	4	yes	—
470	C₄×Dic₇₉	C₂⁴	1	4	yes	—
471	C₄×Dic₇₉	C₂⁴	1	4	yes	—
472	C₄×Dic₇₉	C₂⁴	1	4	yes	—
473	C₄×Dic₇₉	C₂⁴	1	8	yes	—
474	C₄×Dic₇₉	C₂⁴	1	8	yes	—
475	C₄×Dic₇₉	C₂⁴	1	8	yes	—
476	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
477	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
478	C₂×Q₈×C₇₉	—	2	4	no	—
479	C₂×Q₈×C₇₉	—	4	4	no	—
480	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
481	C₂×Q₈×C₇₉	C₂⁴	1	8	yes	—
482	C₂×D₄×C₇₉	—	2	4	no	—
483	C₂×D₄×C₇₉	—	4	4	no	—
484	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
485	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
486	C₂²×C₄×C₇₉	—	2	4	no	—
487	C₂²×C₄×C₇₉	—	4	4	no	—
488	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
490	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
492	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
498	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
499	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
501	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
502	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
503	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
504	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
505	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
506	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
507	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
508	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
512	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
513	C₄²×C₇₉	C₂⁴	1	4	yes	—
514	C₄²×C₇₉	C₂⁴	1	4	yes	—
515	C₄²×C₇₉	C₂⁴	1	8	yes	—
516	C₂³×C₇₉	—	2	2	no	—
517	C₂³×C₇₉	—	2	4	no	—
518	C₂³×C₇₉	—	2	4	no	—
519	C₂³×C₇₉	—	2	2	no	—
520	C₂³×C₇₉	—	2	2	no	—
521	C₂³×C₇₉	—	2	4	no	—
522	C₂³×C₇₉	C₂⁵	1	4	yes	—
523	C₂³×C₇₉	C₂⁵	1	2	yes	—
524	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
525	C₂²×D₇₉	—	2	2	no	—
526	C₂²×D₇₉	—	2	4	no	—
527	C₂²×D₇₉	—	2	4	no	—
528	C₂²×D₇₉	—	2	2	no	—
529	C₂²×D₇₉	—	2	2	no	—
530	C₂²×D₇₉	—	2	4	no	—
531	C₂²×D₇₉	—	2	8	no	—
532	C₂²×D₇₉	—	2	16	no	—
533	C₂²×D₇₉	—	2	16	no	—
534	C₂²×D₇₉	—	2	8	no	—
535	C₂²×D₇₉	—	2	8	no	—
536	C₂²×D₇₉	—	2	16	no	—
537	C₂²×D₇₉	—	4	16	no	—
538	C₂²×D₇₉	—	4	32	no	—
539	C₂²×D₇₉	C₂×#41	1	4	yes	—
540	C₂²×D₇₉	H(5,𝔽₂)	1	4	yes	—
541	C₂²×D₇₉	2₋¹⁺⁴	1	4	yes	—
542	C₂²×D₇₉	C₂⁵	1	4	yes	—
543	C₂²×D₇₉	C₂⁵	1	2	yes	—
544	C₂²×D₇₉	C₂⁵	1	2	yes	—
545	Q₈×C₇₉	—	2	8	no	—
546	Q₈×C₇₉	—	4	8	no	—
547	D₄×C₇₉	—	2	8	no	—
548	D₄×C₇₉	—	4	8	no	—
549	C₂×C₄×C₇₉	—	2	2	no	—
550	C₂×C₄×C₇₉	—	2	4	no	—
551	C₂×C₄×C₇₉	—	2	2	no	—
552	C₂×C₄×C₇₉	—	2	4	no	—
553	C₂×C₄×C₇₉	—	2	4	no	—
554	C₂×C₄×C₇₉	—	2	2	no	—
555	C₂×C₄×C₇₉	—	2	2	no	—
556	C₂×C₄×C₇₉	—	2	2	no	—
557	C₂×C₄×C₇₉	—	2	8	no	—
558	C₂×C₄×C₇₉	—	4	8	no	—
559	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
560	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
561	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
562	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
563	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
564	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
565	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
566	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
567	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
568	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
569	C₂²⋊D₇₉	—	2	16	no	—
570	C₂²⋊D₇₉	—	4	8	no	—
571	C₂²⋊D₇₉	—	4	8	no	—
572	C₂×Dic₇₉	—	2	2	no	—
573	C₂×Dic₇₉	—	2	4	no	—
574	C₂×Dic₇₉	—	2	2	no	—
575	C₂×Dic₇₉	—	2	4	no	—
576	C₂×Dic₇₉	—	2	4	no	—
577	C₂×Dic₇₉	—	2	2	no	—
578	C₂×Dic₇₉	—	2	2	no	—
579	C₂×Dic₇₉	—	2	2	no	—
580	C₂×Dic₇₉	—	2	8	no	—
581	C₂×Dic₇₉	—	4	8	no	—
582	C₂×Dic₇₉	C₂×#41	1	4	yes	—
583	C₂×Dic₇₉	C₂⁵	1	2	yes	—
584	C₂×Dic₇₉	C₂⁵	1	2	yes	—
585	C₂×Dic₇₉	C₂⁵	1	4	yes	—
586	C₂×Dic₇₉	C₂⁵	1	2	yes	—
587	C₂×Dic₇₉	C₂⁵	1	2	yes	—
588	C₂×Dic₇₉	C₂⁵	1	4	yes	—
589	C₂×Dic₇₉	C₂⁵	1	2	yes	—
590	C₂×Dic₇₉	C₂⁵	1	4	yes	—
591	C₂×Dic₇₉	C₂⁵	1	2	yes	—
592	D₃₁₆	—	2	8	no	—
593	D₃₁₆	—	4	8	no	—
594	C₄×D₇₉	—	2	8	no	—
595	C₄×D₇₉	—	2	16	no	—
596	C₄×D₇₉	—	2	8	no	—
597	C₄×D₇₉	—	2	16	no	—
598	C₄×D₇₉	—	2	16	no	—
599	C₄×D₇₉	—	2	8	no	—
600	C₄×D₇₉	—	2	8	no	—
601	C₄×D₇₉	—	2	8	no	—
602	C₄×D₇₉	—	2	8	no	—
603	C₄×D₇₉	—	2	8	no	—
604	C₄×D₇₉	—	4	8	no	—
605	C₄×D₇₉	—	4	8	no	—
606	C₄×D₇₉	C₂×#41	1	16	yes	—
607	Dic₁₅₈	—	2	8	no	—
608	Dic₁₅₈	—	2	16	no	—
609	Dic₁₅₈	—	4	8	no	—
610	Dic₁₅₈	—	4	8	no	—
611	Dic₁₅₈	—	4	8	no	—
612	C₂²×C₇₉	—	2	4	no	—
613	C₂²×C₇₉	—	2	2	no	—
614	C₂²×C₇₉	—	2	2	no	—
615	C₂²×C₇₉	—	2	4	no	—
616	C₂²×C₇₉	—	2	4	no	—
617	C₂²×C₇₉	—	2	2	no	—
618	C₂²×C₇₉	—	4	4	no	—
619	C₂²×C₇₉	—	4	8	no	—
620	C₂²×C₇₉	C₂²×#41	1	2	yes	—
621	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
622	C₂²×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
623	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
624	C₂×D₇₉	—	2	4	no	—
625	C₂×D₇₉	—	2	2	no	—
626	C₂×D₇₉	—	2	2	no	—
627	C₂×D₇₉	—	2	4	no	—
628	C₂×D₇₉	—	2	4	no	—
629	C₂×D₇₉	—	2	2	no	—
630	C₂×D₇₉	—	4	4	no	—
631	C₂×D₇₉	—	4	8	no	—
632	C₂×D₇₉	—	4	16	no	—
633	C₂×D₇₉	—	4	32	no	—
634	C₂×D₇₉	#542	1	16	yes	direct product factor
635	C₂×D₇₉	C₂²×#41	1	4	yes	—
636	C₂×D₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
637	C₂×D₇₉	C₂×2₋¹⁺⁴	1	4	yes	—
638	C₄×C₇₉	—	2	2	no	—
639	C₄×C₇₉	—	2	4	no	—
640	C₄×C₇₉	—	2	2	no	—
641	C₄×C₇₉	—	2	4	no	—
642	C₄×C₇₉	—	2	4	no	—
643	C₄×C₇₉	—	2	2	no	—
644	C₄×C₇₉	—	2	2	no	—
645	C₄×C₇₉	—	2	2	no	—
646	C₄×C₇₉	C₂²×#41	1	4	yes	—
647	Dic₇₉	—	2	4	no	—
648	Dic₇₉	—	2	2	no	—
649	Dic₇₉	—	2	4	no	—
650	Dic₇₉	—	2	2	no	—
651	Dic₇₉	—	2	4	no	—
652	Dic₇₉	—	2	2	no	—
653	Dic₇₉	—	2	2	no	—
654	Dic₇₉	—	2	2	no	—
655	Dic₇₉	C₂²×#41	1	4	yes	—
656	C₂²×#542	—	79	1	no	maximal, Sylow
657	C₂×C₇₉	—	4	4	no	—
658	C₂×C₇₉	—	4	2	no	—
659	C₂×C₇₉	C₂×#542	1	4	yes	complemented
660	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
661	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂×C₇₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
663	D₇₉	—	4	4	no	—
664	D₇₉	—	4	2	no	—
665	D₇₉	C₂×#542	1	8	yes	direct product factor
666	C₂×#542	—	79	32	no	—
667	C₂×#542	—	79	1	no	—
668	C₂×#542	—	79	2	no	—
669	C₂×#542	—	79	2	no	—
670	C₂×#542	—	79	1	no	—
671	C₂×#542	—	79	2	no	—
672	C₂×#542	—	79	2	no	—
673	C₂×#542	—	79	1	no	—
674	C₂×#542	—	79	1	no	—
675	C₂×#542	—	79	1	no	—
676	C₂×#542	—	79	1	no	—
677	C₂×#542	—	79	1	no	—
678	C₂×#542	D₇₉	1	1	yes	characteristic, direct product factor
679	C₂²×C₄⋊Q₈	—	79	1	no	—
680	C₂²×#126	—	79	2	no	—
681	C₂²×#124	—	79	2	no	—
682	C₂²×#124	—	79	1	no	—
683	C₂²×#123	—	79	2	no	—
684	C₂²×C₂²⋊Q₈	—	79	2	no	—
685	C₂²×C₂²⋊Q₈	—	79	1	no	—
686	C₂²×#121	—	79	1	no	—
687	C₂²×C₄×Q₈	—	79	1	no	—
688	C₂²×C₄×D₄	—	79	1	no	—
689	C₂²×#117	—	79	1	no	—
690	C₇₉	C₂²×#542	1	1	yes	characteristic, complemented, Sylow
691	C₂³×Q₈	—	79	2	no	—
692	C₂³×Q₈	—	79	1	no	—
693	C₂³×D₄	—	79	2	no	—
694	C₂³×D₄	—	79	1	no	—
695	C₂⁴×C₄	—	79	2	no	—
696	C₂⁴×C₄	—	79	1	no	—
697	#542	—	79	16	no	—
698	#542	—	79	32	no	—
699	#542	—	79	32	no	—
700	#542	—	79	16	no	—
701	#542	—	79	32	no	—
702	#542	—	79	32	no	—
703	#542	—	79	16	no	—
704	#542	—	79	16	no	—
705	#542	—	79	16	no	—
706	#542	—	79	16	no	—
707	#542	—	79	16	no	—
708	#542	C₂×D₇₉	1	16	yes	direct product factor
709	C₂×C₄⋊Q₈	—	79	2	no	—
710	C₂×C₄⋊Q₈	—	79	16	no	—
711	C₂×C₄⋊Q₈	—	79	2	no	—
712	C₂×C₄⋊Q₈	—	79	1	no	—
713	C₂×C₄⋊Q₈	—	79	1	no	—
714	C₂×C₄⋊Q₈	—	79	1	no	—
715	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
716	C₂×#126	—	79	32	no	—
717	C₂×#126	—	79	2	no	—
718	C₂×#126	—	79	2	no	—
719	C₂×#126	—	79	2	no	—
720	C₂×#126	—	79	2	no	—
721	C₂×#126	—	79	2	no	—
722	C₂×#126	—	79	2	no	—
723	C₂×#126	—	79	2	no	—
724	C₂×#126	C₂×D₇₉	1	2	yes	complemented
725	C₂×#124	—	79	1	no	—
726	C₂×#124	—	79	2	no	—
727	C₂×#124	—	79	1	no	—
728	C₂×#124	—	79	2	no	—
729	C₂×#124	—	79	16	no	—
730	C₂×#124	—	79	32	no	—
731	C₂×#124	—	79	2	no	—
732	C₂×#124	—	79	2	no	—
733	C₂×#124	—	79	2	no	—
734	C₂×#124	—	79	2	no	—
735	C₂×#124	—	79	2	no	—
736	C₂×#124	—	79	2	no	—
737	C₂×#124	—	79	1	no	—
738	C₂×#124	—	79	2	no	—
739	C₂×#124	C₂×D₇₉	1	1	yes	characteristic, complemented
740	C₂×#124	C₂×D₇₉	1	2	yes	complemented
741	C₂×#123	—	79	2	no	—
742	C₂×#123	—	79	2	no	—
743	C₂×#123	—	79	32	no	—
744	C₂×#123	—	79	2	no	—
745	C₂×#123	—	79	2	no	—
746	C₂×#123	—	79	2	no	—
747	C₂×#123	—	79	2	no	—
748	C₂×#123	—	79	2	no	—
749	C₂×#123	C₂×D₇₉	1	2	yes	complemented
750	C₂×C₂²⋊Q₈	—	79	2	no	—
751	C₂×C₂²⋊Q₈	—	79	1	no	—
752	C₂×C₂²⋊Q₈	—	79	2	no	—
753	C₂×C₂²⋊Q₈	—	79	1	no	—
754	C₂×C₂²⋊Q₈	—	79	32	no	—
755	C₂×C₂²⋊Q₈	—	79	16	no	—
756	C₂×C₂²⋊Q₈	—	79	2	no	—
757	C₂×C₂²⋊Q₈	—	79	2	no	—
758	C₂×C₂²⋊Q₈	—	79	2	no	—
759	C₂×C₂²⋊Q₈	—	79	2	no	—
760	C₂×C₂²⋊Q₈	—	79	1	no	—
761	C₂×C₂²⋊Q₈	—	79	2	no	—
762	C₂×C₂²⋊Q₈	—	79	2	no	—
763	C₂×C₂²⋊Q₈	—	79	2	no	—
764	C₂×C₂²⋊Q₈	C₂×D₇₉	1	2	yes	complemented
765	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
766	C₂×#121	—	79	1	no	—
767	C₂×#121	—	79	2	no	—
768	C₂×#121	—	79	1	no	—
769	C₂×#121	—	79	16	no	—
770	C₂×#121	—	79	1	no	—
771	C₂×#121	—	79	2	no	—
772	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
773	C₂×C₄×Q₈	—	79	1	no	—
774	C₂×C₄×Q₈	—	79	16	no	—
775	C₂×C₄×Q₈	—	79	2	no	—
776	C₂×C₄×Q₈	—	79	1	no	—
777	C₂×C₄×Q₈	—	79	2	no	—
778	C₂×C₄×Q₈	—	79	1	no	—
779	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
780	C₂×C₄×D₄	—	79	1	no	—
781	C₂×C₄×D₄	—	79	2	no	—
782	C₂×C₄×D₄	—	79	16	no	—
783	C₂×C₄×D₄	—	79	1	no	—
784	C₂×C₄×D₄	—	79	2	no	—
785	C₂×C₄×D₄	—	79	1	no	—
786	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
787	C₂×#117	—	79	1	no	—
788	C₂×#117	—	79	16	no	—
789	C₂×#117	—	79	1	no	—
790	C₂×#117	—	79	1	no	—
791	C₂×#117	—	79	1	no	—
792	C₂×#117	—	79	1	no	—
793	C₂×#117	—	79	1	no	—
794	C₂×#117	—	79	1	no	—
795	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
796	C₂²×C₄⋊C₄	—	79	1	no	—
797	C₂²×C₄⋊C₄	—	79	1	no	—
798	C₂²×C₄⋊C₄	—	79	1	no	—
799	C₂²×C₄⋊C₄	—	79	1	no	—
800	C₂²×C₄⋊C₄	—	79	2	no	—
801	C₂²×C₄⋊C₄	—	79	2	no	—
802	C₂²×C₄⋊C₄	—	79	2	no	—
803	C₂²×C₂²⋊C₄	—	79	1	no	—
804	C₂²×C₂²⋊C₄	—	79	1	no	—
805	C₂²×C₂²⋊C₄	—	79	2	no	—
806	C₂²×C₂²⋊C₄	—	79	2	no	—
807	C₂²×C₂²⋊C₄	—	79	2	no	—
808	C₂²×C₂²⋊C₄	—	79	2	no	—
809	C₂²×C₂²⋊C₄	—	79	2	no	—
810	C₂²×C₄²	—	79	1	no	—
811	C₂²×C₄²	—	79	1	no	—
812	C₂²×C₄²	—	79	2	no	—
813	C₂⁵	—	79	2	no	—
814	C₂⁵	—	79	1	no	—
815	C₂²×Q₈	—	316	8	no	—
816	C₂²×Q₈	—	79	16	no	—
817	C₂²×Q₈	—	79	8	no	—
818	C₂²×Q₈	—	79	2	no	—
819	C₂²×Q₈	—	79	2	no	—
820	C₂²×Q₈	—	79	2	no	—
821	C₂²×Q₈	—	79	2	no	—
822	C₂²×Q₈	—	79	1	no	—
823	C₂²×Q₈	—	158	8	no	—
824	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
825	C₂²×Q₈	C₂²×D₇₉	1	2	yes	—
826	C₂²×D₄	—	316	8	no	—
827	C₂²×D₄	—	79	2	no	—
828	C₂²×D₄	—	79	2	no	—
829	C₂²×D₄	—	79	16	no	—
830	C₂²×D₄	—	79	2	no	—
831	C₂²×D₄	—	79	8	no	—
832	C₂²×D₄	—	79	2	no	—
833	C₂²×D₄	—	79	1	no	—
834	C₂²×D₄	—	158	8	no	—
835	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
837	C₂³×C₄	—	316	8	no	—
838	C₂³×C₄	—	79	2	no	—
839	C₂³×C₄	—	79	2	no	—
840	C₂³×C₄	—	79	2	no	—
841	C₂³×C₄	—	79	16	no	—
842	C₂³×C₄	—	79	1	no	—
843	C₂³×C₄	—	79	1	no	—
844	C₂³×C₄	—	79	1	no	—
845	C₂³×C₄	—	79	2	no	—
846	C₂³×C₄	—	79	1	no	—
847	C₂³×C₄	—	79	1	no	—
848	C₂³×C₄	—	79	1	no	—
849	C₂³×C₄	—	79	2	no	—
850	C₂³×C₄	—	79	1	no	—
851	C₂³×C₄	—	79	2	no	—
852	C₂³×C₄	—	79	1	no	—
853	C₂³×C₄	—	79	8	no	—
854	C₂³×C₄	—	79	1	no	—
855	C₂³×C₄	—	158	8	no	—
856	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
857	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
858	C₄⋊Q₈	—	79	16	no	—
859	C₄⋊Q₈	—	79	16	no	—
860	C₄⋊Q₈	—	79	8	no	—
861	C₄⋊Q₈	—	79	8	no	—
862	C₄⋊Q₈	—	79	8	no	—
863	C₄⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
864	#126	—	79	16	no	—
865	#126	—	79	16	no	—
866	#126	—	79	16	no	—
867	#126	—	79	16	no	—
868	#126	—	79	16	no	—
869	#126	—	79	16	no	—
870	#126	—	79	16	no	—
871	#126	C₂²×D₇₉	1	16	yes	complemented
872	#124	—	79	8	no	—
873	#124	—	79	16	no	—
874	#124	—	79	8	no	—
875	#124	—	79	16	no	—
876	#124	—	79	16	no	—
877	#124	—	79	16	no	—
878	#124	—	79	16	no	—
879	#124	—	79	16	no	—
880	#124	—	79	16	no	—
881	#124	—	79	16	no	—
882	#124	—	79	8	no	—
883	#124	—	79	16	no	—
884	#124	C₂²×D₇₉	1	8	yes	complemented
885	#124	C₂²×D₇₉	1	16	yes	complemented
886	#123	—	79	16	no	—
887	#123	—	79	16	no	—
888	#123	—	79	16	no	—
889	#123	—	79	16	no	—
890	#123	—	79	16	no	—
891	#123	—	79	16	no	—
892	#123	—	79	16	no	—
893	#123	C₂²×D₇₉	1	16	yes	complemented
894	C₂²⋊Q₈	—	79	16	no	—
895	C₂²⋊Q₈	—	79	8	no	—
896	C₂²⋊Q₈	—	79	16	no	—
897	C₂²⋊Q₈	—	79	8	no	—
898	C₂²⋊Q₈	—	79	16	no	—
899	C₂²⋊Q₈	—	79	16	no	—
900	C₂²⋊Q₈	—	79	16	no	—
901	C₂²⋊Q₈	—	79	16	no	—
902	C₂²⋊Q₈	—	79	8	no	—
903	C₂²⋊Q₈	—	79	16	no	—
904	C₂²⋊Q₈	—	79	16	no	—
905	C₂²⋊Q₈	—	79	16	no	—
906	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
907	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
908	#121	—	79	8	no	—
909	#121	—	79	16	no	—
910	#121	—	79	8	no	—
911	#121	—	79	8	no	—
912	#121	—	79	16	no	—
913	#121	C₂²×D₇₉	1	8	yes	—
914	C₄×Q₈	—	79	8	no	—
915	C₄×Q₈	—	79	16	no	—
916	C₄×Q₈	—	79	8	no	—
917	C₄×Q₈	—	79	16	no	—
918	C₄×Q₈	—	79	8	no	—
919	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
920	C₄×D₄	—	79	8	no	—
921	C₄×D₄	—	79	16	no	—
922	C₄×D₄	—	79	8	no	—
923	C₄×D₄	—	79	16	no	—
924	C₄×D₄	—	79	8	no	—
925	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
926	#117	—	79	8	no	—
927	#117	—	79	8	no	—
928	#117	—	79	8	no	—
929	#117	—	79	8	no	—
930	#117	—	79	8	no	—
931	#117	—	79	8	no	—
932	#117	—	79	8	no	—
933	#117	C₂²×D₇₉	1	8	yes	complemented
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	1	no	—
938	C₂×C₄⋊C₄	—	79	1	no	—
939	C₂×C₄⋊C₄	—	79	1	no	—
940	C₂×C₄⋊C₄	—	79	2	no	—
941	C₂×C₄⋊C₄	—	79	1	no	—
942	C₂×C₄⋊C₄	—	79	2	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	2	no	—
945	C₂×C₄⋊C₄	—	79	2	no	—
946	C₂×C₄⋊C₄	—	79	2	no	—
947	C₂×C₄⋊C₄	—	79	2	no	—
948	C₂×C₄⋊C₄	—	79	2	no	—
949	C₂×C₄⋊C₄	—	79	2	no	—
950	C₂×C₄⋊C₄	—	79	2	no	—
951	C₂×C₄⋊C₄	—	79	2	no	—
952	C₂×C₄⋊C₄	—	79	2	no	—
953	C₂×C₄⋊C₄	—	79	8	no	—
954	C₂×C₄⋊C₄	—	79	8	no	—
955	C₂×C₄⋊C₄	—	79	8	no	—
956	C₂×C₄⋊C₄	—	79	8	no	—
957	C₂×C₄⋊C₄	—	79	16	no	—
958	C₂×C₄⋊C₄	—	79	16	no	—
959	C₂×C₄⋊C₄	—	79	16	no	—
960	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
965	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
966	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
967	C₂×C₂²⋊C₄	—	79	1	no	—
968	C₂×C₂²⋊C₄	—	79	1	no	—
969	C₂×C₂²⋊C₄	—	79	2	no	—
970	C₂×C₂²⋊C₄	—	79	2	no	—
971	C₂×C₂²⋊C₄	—	79	2	no	—
972	C₂×C₂²⋊C₄	—	79	2	no	—
973	C₂×C₂²⋊C₄	—	79	2	no	—
974	C₂×C₂²⋊C₄	—	79	1	no	—
975	C₂×C₂²⋊C₄	—	79	1	no	—
976	C₂×C₂²⋊C₄	—	79	1	no	—
977	C₂×C₂²⋊C₄	—	79	1	no	—
978	C₂×C₂²⋊C₄	—	79	2	no	—
979	C₂×C₂²⋊C₄	—	79	2	no	—
980	C₂×C₂²⋊C₄	—	79	2	no	—
981	C₂×C₂²⋊C₄	—	79	2	no	—
982	C₂×C₂²⋊C₄	—	79	2	no	—
983	C₂×C₂²⋊C₄	—	79	2	no	—
984	C₂×C₂²⋊C₄	—	79	2	no	—
985	C₂×C₂²⋊C₄	—	79	2	no	—
986	C₂×C₂²⋊C₄	—	79	2	no	—
987	C₂×C₂²⋊C₄	—	79	2	no	—
988	C₂×C₂²⋊C₄	—	79	8	no	—
989	C₂×C₂²⋊C₄	—	79	8	no	—
990	C₂×C₂²⋊C₄	—	79	16	no	—
991	C₂×C₂²⋊C₄	—	79	16	no	—
992	C₂×C₂²⋊C₄	—	79	16	no	—
993	C₂×C₂²⋊C₄	—	79	16	no	—
994	C₂×C₂²⋊C₄	—	79	16	no	—
995	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1002	C₂×C₄²	—	79	1	no	—
1003	C₂×C₄²	—	79	1	no	—
1004	C₂×C₄²	—	79	1	no	—
1005	C₂×C₄²	—	79	1	no	—
1006	C₂×C₄²	—	79	1	no	—
1007	C₂×C₄²	—	79	1	no	—
1008	C₂×C₄²	—	79	2	no	—
1009	C₂×C₄²	—	79	2	no	—
1010	C₂×C₄²	—	79	2	no	—
1011	C₂×C₄²	—	79	8	no	—
1012	C₂×C₄²	—	79	8	no	—
1013	C₂×C₄²	—	79	16	no	—
1014	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1016	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1017	C₂⁴	—	79	1	no	—
1018	C₂⁴	—	79	8	no	—
1019	C₂⁴	—	79	4	no	—
1020	C₂⁴	—	79	2	no	—
1021	C₂⁴	—	79	1	no	—
1022	C₂⁴	—	158	8	no	—
1023	C₂⁴	—	158	4	no	—
1024	C₂⁴	—	158	4	no	—
1025	C₂⁴	—	158	8	no	—
1026	C₂⁴	—	158	8	no	—
1027	C₂⁴	—	158	4	no	—
1028	C₂⁴	C₂³×D₇₉	1	2	yes	—
1029	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1030	C₂×Q₈	—	2	4	no	—
1031	C₂×Q₈	—	4	4	no	—
1032	C₂×Q₈	—	316	4	no	—
1033	C₂×Q₈	—	316	4	no	—
1034	C₂×Q₈	—	316	4	no	—
1035	C₂×Q₈	—	316	32	no	—
1036	C₂×Q₈	—	79	8	no	—
1037	C₂×Q₈	—	79	8	no	—
1038	C₂×Q₈	—	79	8	no	—
1039	C₂×Q₈	—	79	8	no	—
1040	C₂×Q₈	—	79	4	no	—
1041	C₂×Q₈	—	158	8	no	—
1042	C₂×Q₈	—	158	32	no	—
1043	C₂×Q₈	—	158	4	no	—
1044	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1045	C₂×Q₈	C₂³×D₇₉	1	8	yes	—
1046	C₂×D₄	—	2	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	316	4	no	—
1049	C₂×D₄	—	316	32	no	—
1050	C₂×D₄	—	316	4	no	—
1051	C₂×D₄	—	316	4	no	—
1052	C₂×D₄	—	79	8	no	—
1053	C₂×D₄	—	79	8	no	—
1054	C₂×D₄	—	79	8	no	—
1055	C₂×D₄	—	79	8	no	—
1056	C₂×D₄	—	79	4	no	—
1057	C₂×D₄	—	158	32	no	—
1058	C₂×D₄	—	158	8	no	—
1059	C₂×D₄	—	158	4	no	—
1060	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1061	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	316	4	no	—
1065	C₂²×C₄	—	316	4	no	—
1066	C₂²×C₄	—	316	32	no	—
1067	C₂²×C₄	—	316	4	no	—
1068	C₂²×C₄	—	79	8	no	—
1069	C₂²×C₄	—	79	8	no	—
1070	C₂²×C₄	—	79	8	no	—
1071	C₂²×C₄	—	79	1	no	—
1072	C₂²×C₄	—	79	8	no	—
1073	C₂²×C₄	—	79	4	no	—
1074	C₂²×C₄	—	79	4	no	—
1075	C₂²×C₄	—	79	1	no	—
1076	C₂²×C₄	—	79	1	no	—
1077	C₂²×C₄	—	79	2	no	—
1078	C₂²×C₄	—	79	1	no	—
1079	C₂²×C₄	—	79	1	no	—
1080	C₂²×C₄	—	79	2	no	—
1081	C₂²×C₄	—	79	1	no	—
1082	C₂²×C₄	—	79	2	no	—
1083	C₂²×C₄	—	79	4	no	—
1084	C₂²×C₄	—	79	4	no	—
1085	C₂²×C₄	—	79	8	no	—
1086	C₂²×C₄	—	79	4	no	—
1087	C₂²×C₄	—	79	4	no	—
1088	C₂²×C₄	—	79	8	no	—
1089	C₂²×C₄	—	79	4	no	—
1090	C₂²×C₄	—	79	8	no	—
1091	C₂²×C₄	—	79	4	no	—
1092	C₂²×C₄	—	79	4	no	—
1093	C₂²×C₄	—	158	4	no	—
1094	C₂²×C₄	—	158	32	no	—
1095	C₂²×C₄	—	158	4	no	—
1096	C₂²×C₄	—	158	8	no	—
1097	C₂²×C₄	—	158	4	no	—
1098	C₂²×C₄	—	158	4	no	—
1099	C₂²×C₄	—	158	4	no	—
1100	C₂²×C₄	—	158	8	no	—
1101	C₂²×C₄	—	158	4	no	—
1102	C₂²×C₄	—	158	8	no	—
1103	C₂²×C₄	—	158	4	no	—
1104	C₂²×C₄	—	158	4	no	—
1105	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1106	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1109	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1112	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1114	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1115	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1116	C₄⋊C₄	—	79	4	no	—
1117	C₄⋊C₄	—	79	4	no	—
1118	C₄⋊C₄	—	79	4	no	—
1119	C₄⋊C₄	—	79	4	no	—
1120	C₄⋊C₄	—	79	8	no	—
1121	C₄⋊C₄	—	79	8	no	—
1122	C₄⋊C₄	—	79	8	no	—
1123	C₄⋊C₄	—	79	8	no	—
1124	C₄⋊C₄	—	79	8	no	—
1125	C₄⋊C₄	—	79	8	no	—
1126	C₄⋊C₄	—	79	8	no	—
1127	C₄⋊C₄	—	79	8	no	—
1128	C₄⋊C₄	—	79	4	no	—
1129	C₄⋊C₄	—	79	4	no	—
1130	C₄⋊C₄	—	79	4	no	—
1131	C₄⋊C₄	—	79	4	no	—
1132	C₄⋊C₄	—	79	8	no	—
1133	C₄⋊C₄	—	79	8	no	—
1134	C₄⋊C₄	—	79	8	no	—
1135	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1136	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1137	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1138	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1139	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1140	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1141	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1142	C₂²⋊C₄	—	79	4	no	—
1143	C₂²⋊C₄	—	79	4	no	—
1144	C₂²⋊C₄	—	79	8	no	—
1145	C₂²⋊C₄	—	79	8	no	—
1146	C₂²⋊C₄	—	79	8	no	—
1147	C₂²⋊C₄	—	79	8	no	—
1148	C₂²⋊C₄	—	79	8	no	—
1149	C₂²⋊C₄	—	79	4	no	—
1150	C₂²⋊C₄	—	79	4	no	—
1151	C₂²⋊C₄	—	79	4	no	—
1152	C₂²⋊C₄	—	79	4	no	—
1153	C₂²⋊C₄	—	79	8	no	—
1154	C₂²⋊C₄	—	79	8	no	—
1155	C₂²⋊C₄	—	79	8	no	—
1156	C₂²⋊C₄	—	79	8	no	—
1157	C₂²⋊C₄	—	79	8	no	—
1158	C₂²⋊C₄	—	79	8	no	—
1159	C₂²⋊C₄	—	79	8	no	—
1160	C₂²⋊C₄	—	79	8	no	—
1161	C₂²⋊C₄	—	79	8	no	—
1162	C₂²⋊C₄	—	79	8	no	—
1163	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1164	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1165	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1166	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1167	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1168	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1169	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1170	C₄²	—	79	4	no	—
1171	C₄²	—	79	4	no	—
1172	C₄²	—	79	4	no	—
1173	C₄²	—	79	4	no	—
1174	C₄²	—	79	4	no	—
1175	C₄²	—	79	4	no	—
1176	C₄²	—	79	8	no	—
1177	C₄²	—	79	8	no	—
1178	C₄²	—	79	8	no	—
1179	C₄²	C₂³×D₇₉	1	4	yes	—
1180	C₄²	C₂³×D₇₉	1	4	yes	—
1181	C₄²	C₂³×D₇₉	1	8	yes	—
1182	C₂³	—	2	4	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	2	4	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	4	no	—
1188	C₂³	—	316	32	no	—
1189	C₂³	—	316	16	no	—
1190	C₂³	—	79	4	no	—
1191	C₂³	—	79	4	no	—
1192	C₂³	—	79	2	no	—
1193	C₂³	—	79	4	no	—
1194	C₂³	—	79	2	no	—
1195	C₂³	—	79	4	no	—
1196	C₂³	—	158	16	no	—
1197	C₂³	—	158	8	no	—
1198	C₂³	—	158	8	no	—
1199	C₂³	—	158	16	no	—
1200	C₂³	—	158	16	no	—
1201	C₂³	—	158	8	no	—
1202	C₂³	—	158	4	no	—
1203	C₂³	—	158	2	no	—
1204	C₂³	—	158	4	no	—
1205	C₂³	—	158	2	no	—
1206	C₂³	—	158	2	no	—
1207	C₂³	—	158	4	no	—
1208	C₂³	C₂⁴×D₇₉	1	2	yes	—
1209	C₂³	C₂⁴×D₇₉	1	4	yes	—
1210	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1211	Q₈	—	2	8	no	—
1212	Q₈	—	4	8	no	—
1213	Q₈	—	316	8	no	—
1214	Q₈	—	316	8	no	—
1215	Q₈	—	316	8	no	—
1216	Q₈	—	158	16	no	—
1217	Q₈	—	158	8	no	—
1218	D₄	—	2	8	no	—
1219	D₄	—	4	8	no	—
1220	D₄	—	316	8	no	—
1221	D₄	—	316	8	no	—
1222	D₄	—	316	8	no	—
1223	D₄	—	158	16	no	—
1224	D₄	—	158	8	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	4	no	—
1227	C₂×C₄	—	2	4	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	4	no	—
1233	C₂×C₄	—	2	8	no	—
1234	C₂×C₄	—	4	8	no	—
1235	C₂×C₄	—	316	8	no	—
1236	C₂×C₄	—	316	8	no	—
1237	C₂×C₄	—	316	8	no	—
1238	C₂×C₄	—	79	2	no	—
1239	C₂×C₄	—	79	4	no	—
1240	C₂×C₄	—	79	16	no	—
1241	C₂×C₄	—	79	2	no	—
1242	C₂×C₄	—	79	2	no	—
1243	C₂×C₄	—	79	4	no	—
1244	C₂×C₄	—	79	2	no	—
1245	C₂×C₄	—	79	2	no	—
1246	C₂×C₄	—	79	4	no	—
1247	C₂×C₄	—	79	2	no	—
1248	C₂×C₄	—	79	4	no	—
1249	C₂×C₄	—	158	8	no	—
1250	C₂×C₄	—	158	8	no	—
1251	C₂×C₄	—	158	16	no	—
1252	C₂×C₄	—	158	8	no	—
1253	C₂×C₄	—	158	16	no	—
1254	C₂×C₄	—	158	8	no	—
1255	C₂×C₄	—	158	16	no	—
1256	C₂×C₄	—	158	8	no	—
1257	C₂×C₄	—	158	8	no	—
1258	C₂×C₄	—	158	8	no	—
1259	C₂×C₄	—	158	2	no	—
1260	C₂×C₄	—	158	4	no	—
1261	C₂×C₄	—	158	4	no	—
1262	C₂×C₄	—	158	2	no	—
1263	C₂×C₄	—	158	2	no	—
1264	C₂×C₄	—	158	2	no	—
1265	C₂×C₄	—	158	2	no	—
1266	C₂×C₄	—	158	4	no	—
1267	C₂×C₄	—	158	8	no	—
1268	C₂×C₄	#41×D₇₉	1	4	yes	—
1269	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1270	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1271	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1272	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1273	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1274	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1275	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1276	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1277	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	4	no	—
1280	C₂²	—	2	4	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	4	8	no	—
1285	C₂²	—	4	4	no	—
1286	C₂²	—	316	32	no	—
1287	C₂²	—	316	16	no	—
1288	C₂²	—	316	8	no	—
1289	C₂²	—	316	4	no	—
1290	C₂²	—	79	16	no	—
1291	C₂²	—	79	4	no	—
1292	C₂²	—	79	4	no	—
1293	C₂²	—	79	4	no	—
1294	C₂²	—	158	2	no	—
1295	C₂²	—	158	4	no	—
1296	C₂²	—	158	4	no	—
1297	C₂²	—	158	2	no	—
1298	C₂²	—	158	2	no	—
1299	C₂²	—	158	4	no	—
1300	C₂²	C₂×#41×D₇₉	1	2	yes	—
1301	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1302	C₂²	2₋¹⁺⁴×D₇₉	1	2	yes	—
1303	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1304	C₄	—	2	2	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	4	no	—
1308	C₄	—	2	4	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	79	4	no	—
1313	C₄	—	158	2	no	—
1314	C₄	—	158	4	no	—
1315	C₄	—	158	2	no	—
1316	C₄	—	158	4	no	—
1317	C₄	—	158	4	no	—
1318	C₄	—	158	2	no	—
1319	C₄	—	158	2	no	—
1320	C₄	—	158	2	no	—
1321	C₄	C₂×#41×D₇₉	1	4	yes	—
1322	C₂	—	4	2	no	—
1323	C₂	—	4	4	no	—
1324	C₂	—	316	2	no	—
1325	C₂	—	316	4	no	—
1326	C₂	—	79	8	no	—
1327	C₂	#542×D₇₉	1	4	yes	direct product factor
1328	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1329	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1330	C₂	C₂×2₋¹⁺⁴×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#542×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
prime radical	C₂×#121×D₇₉	C₂
hypercenter	C₂×#542	D₇₉
hypocenter	C₇₉	C₂²×#542
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. C₂×#19099187	C₂	semidirect
2. C₂×#19099186	C₂	semidirect
3. C₂×#19099185	C₂	semidirect
4. C₂×#19099184	C₂	semidirect
5. C₂×#19099183	C₂	semidirect
6. C₂×#19099182	C₂	semidirect
7. C₂×#19099181	C₂	semidirect
8. C₂×#19099180	C₂	semidirect
9. C₂×#19099179	C₂	semidirect
10. C₂×#19099178	C₂	semidirect
11. C₂×#19099177	C₂	semidirect
12. #542×D₇₉	C₂	direct (N × H)
13. C₂×C₄⋊Q₈×D₇₉	C₂	semidirect
14. C₂×#126×D₇₉	C₂	semidirect
15. C₂×#124×D₇₉	C₂	semidirect
16. C₂×#124×D₇₉	C₂	semidirect
17. C₂×#123×D₇₉	C₂	semidirect
18. C₂×C₂²⋊Q₈×D₇₉	C₂	semidirect
19. C₂×C₂²⋊Q₈×D₇₉	C₂	semidirect
21. C₂×C₄×Q₈×D₇₉	C₂	semidirect
22. C₂×C₄×D₄×D₇₉	C₂	semidirect
23. C₂×#117×D₇₉	C₂	semidirect
24. C₂×#542×C₇₉	C₂	semidirect
31. #19099187	C₂²	semidirect
32. #19099186	C₂²	semidirect
33. #19099185	C₂²	semidirect
34. #19099184	C₂²	semidirect
35. #19099183	C₂²	semidirect
36. #19099182	C₂²	semidirect
37. #19099181	C₂²	semidirect
38. #19099180	C₂²	semidirect
39. #19099179	C₂²	semidirect
40. #19099178	C₂²	semidirect
41. #19099177	C₂²	semidirect
42. C₂×#14579161	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
44. C₂×#14579160	C₂²	semidirect
45. C₂×#14579160	C₂²	semidirect
46. C₂×#14579159	C₂²	semidirect
47. C₄⋊Q₈×D₇₉	C₂²	semidirect
48. C₂×#14579156	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579156	C₂²	semidirect
51. C₂×#14579155	C₂²	semidirect
52. C₂×#14579154	C₂²	semidirect
53. C₂×#14579154	C₂²	semidirect
54. C₂×#14579154	C₂²	semidirect
55. #126×D₇₉	C₂²	semidirect
56. C₂×#14579150	C₂²	semidirect
57. C₂×#14579150	C₂²	semidirect
58. C₂×#14579149	C₂²	semidirect
59. C₂×#14579149	C₂²	semidirect
60. C₂×#14579148	C₂²	semidirect
61. C₂×#14579148	C₂²	semidirect
62. C₂×#14579147	C₂²	semidirect
63. C₂×#14579147	C₂²	semidirect
64. C₂×#14579147	C₂²	semidirect
65. C₂×#14579147	C₂²	semidirect
66. C₂×#14579147	C₂²	semidirect
67. C₂×#14579147	C₂²	semidirect
68. #124×D₇₉	C₂²	semidirect
69. #124×D₇₉	C₂²	semidirect
70. C₂×#14579146	C₂²	semidirect
71. C₂×#14579146	C₂²	semidirect
72. C₂×#14579145	C₂²	semidirect
73. C₂×#14579144	C₂²	semidirect
74. C₂×#14579143	C₂²	semidirect
75. C₂×#14579143	C₂²	semidirect
76. C₂×#14579142	C₂²	semidirect
77. #123×D₇₉	C₂²	semidirect
78. C₂×#14579141	C₂²	semidirect
79. C₂×#14579141	C₂²	semidirect
80. C₂×#14579140	C₂²	semidirect
81. C₂×#14579140	C₂²	semidirect
82. C₂×#14579139	C₂²	semidirect
83. C₂×#14579139	C₂²	semidirect
84. C₂×#14579139	C₂²	semidirect
85. C₂×#14579138	C₂²	semidirect
86. C₂×#14579138	C₂²	semidirect
87. C₂×#14579138	C₂²	semidirect
88. C₂×#14579137	C₂²	semidirect
89. C₂×#14579137	C₂²	semidirect
90. C₂²⋊Q₈×D₇₉	C₂²	semidirect
91. C₂²⋊Q₈×D₇₉	C₂²	semidirect
98. C₂×Q₈×Dic₇₉	C₂²	semidirect
99. C₂×C₄×Dic₁₅₈	C₂²	semidirect
100. C₂×C₄×Dic₁₅₈	C₂²	semidirect
101. C₂×#14579126	C₂²	semidirect
102. C₂×#14579126	C₂²	semidirect
103. C₄×Q₈×D₇₉	C₂²	semidirect
104. C₂×C₄×D₃₁₆	C₂²	semidirect
105. C₂×D₄×Dic₇₉	C₂²	semidirect
106. C₂×#14579123	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
108. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
109. C₄×D₄×D₇₉	C₂²	semidirect
110. C₂×#14579120	C₂²	semidirect
111. C₂×#14579119	C₂²	semidirect
112. C₂×#14579119	C₂²	semidirect
113. C₂×#14579118	C₂²	semidirect
114. C₂×#14579118	C₂²	semidirect
115. C₂×#14579117	C₂²	semidirect
116. C₂×#14579117	C₂²	semidirect
117. #117×D₇₉	C₂²	semidirect
135. #542×C₇₉	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₇₉	C₂²	semidirect
137. C₂×#126×C₇₉	C₂²	semidirect
138. C₂×#124×C₇₉	C₂²	semidirect
139. C₂×#124×C₇₉	C₂²	semidirect
140. C₂×#123×C₇₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
144. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
145. C₂×C₄×D₄×C₇₉	C₂²	semidirect
146. C₂×#117×C₇₉	C₂²	semidirect
186. #14579161	C₂³	semidirect
187. #14579160	C₂³	semidirect
188. #14579160	C₂³	semidirect
189. #14579160	C₂³	semidirect
190. #14579159	C₂³	semidirect
191. #14579156	C₂³	semidirect
192. #14579156	C₂³	semidirect
193. #14579156	C₂³	semidirect
194. #14579155	C₂³	semidirect
195. #14579154	C₂³	semidirect
196. #14579154	C₂³	semidirect
197. #14579154	C₂³	semidirect
198. #14579150	C₂³	semidirect
199. #14579150	C₂³	semidirect
200. #14579149	C₂³	semidirect
201. #14579149	C₂³	semidirect
202. #14579148	C₂³	semidirect
203. #14579148	C₂³	semidirect
204. #14579147	C₂³	semidirect
205. #14579147	C₂³	semidirect
206. #14579147	C₂³	semidirect
207. #14579147	C₂³	semidirect
208. #14579147	C₂³	semidirect
209. #14579147	C₂³	semidirect
210. #14579146	C₂³	semidirect
211. #14579146	C₂³	semidirect
212. #14579145	C₂³	semidirect
213. #14579144	C₂³	semidirect
214. #14579143	C₂³	semidirect
215. #14579143	C₂³	semidirect
216. #14579142	C₂³	semidirect
217. #14579141	C₂³	semidirect
218. #14579141	C₂³	semidirect
219. #14579140	C₂³	semidirect
220. #14579140	C₂³	semidirect
221. #14579139	C₂³	semidirect
222. #14579139	C₂³	semidirect
223. #14579139	C₂³	semidirect
224. #14579138	C₂³	semidirect
225. #14579138	C₂³	semidirect
226. #14579138	C₂³	semidirect
227. #14579137	C₂³	semidirect
228. #14579137	C₂³	semidirect
234. Q₈×Dic₇₉	C₂³	semidirect
235. C₄×Dic₁₅₈	C₂³	semidirect
236. C₄×Dic₁₅₈	C₂³	semidirect
237. #14579126	C₂³	semidirect
238. #14579126	C₂³	semidirect
239. C₄×D₃₁₆	C₂³	semidirect
240. D₄×Dic₇₉	C₂³	semidirect
241. #14579123	C₂³	semidirect
242. C₄×C₂²⋊D₇₉	C₂³	semidirect
243. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
244. #14579120	C₂³	semidirect
245. #14579119	C₂³	semidirect
246. #14579119	C₂³	semidirect
247. #14579118	C₂³	semidirect
248. #14579118	C₂³	semidirect
249. #14579117	C₂³	semidirect
250. #14579117	C₂³	semidirect
323. C₄⋊Q₈×C₇₉	C₂³	semidirect
324. #126×C₇₉	C₂³	semidirect
325. #124×C₇₉	C₂³	semidirect
326. #124×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
328. C₂²⋊Q₈×C₇₉	C₂³	semidirect
329. C₂²⋊Q₈×C₇₉	C₂³	semidirect
331. C₄×Q₈×C₇₉	C₂³	semidirect
332. C₄×D₄×C₇₉	C₂³	semidirect
333. #117×C₇₉	C₂³	semidirect
634. C₂×D₇₉	#542	direct (N × H)
659. C₂×C₇₉	C₂×#542	semidirect
665. D₇₉	C₂×#542	direct (N × H)
678. C₂×#542	D₇₉	direct (N × H)
690. C₇₉	C₂²×#542	semidirect
708. #542	C₂×D₇₉	direct (N × H)
715. C₂×C₄⋊Q₈	C₂×D₇₉	semidirect
724. C₂×#126	C₂×D₇₉	semidirect
739. C₂×#124	C₂×D₇₉	semidirect
740. C₂×#124	C₂×D₇₉	semidirect
749. C₂×#123	C₂×D₇₉	semidirect
764. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
765. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
779. C₂×C₄×Q₈	C₂×D₇₉	semidirect
786. C₂×C₄×D₄	C₂×D₇₉	semidirect
795. C₂×#117	C₂×D₇₉	semidirect
863. C₄⋊Q₈	C₂²×D₇₉	semidirect
871. #126	C₂²×D₇₉	semidirect
884. #124	C₂²×D₇₉	semidirect
885. #124	C₂²×D₇₉	semidirect
893. #123	C₂²×D₇₉	semidirect
906. C₂²⋊Q₈	C₂²×D₇₉	semidirect
907. C₂²⋊Q₈	C₂²×D₇₉	semidirect
919. C₄×Q₈	C₂²×D₇₉	semidirect
925. C₄×D₄	C₂²×D₇₉	semidirect
933. #117	C₂²×D₇₉	semidirect
1327. C₂	#542×D₇₉	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#19099187	2
C₂×#19099186	2
C₂×#19099185	2
C₂×#19099184	2
C₂×#19099183	2
C₂×#19099182	2
C₂×#19099181	2
C₂×#19099180	2
C₂×#19099179	2
C₂×#19099178	2
C₂×#19099177	2
#542×D₇₉	2
C₂×C₄⋊Q₈×D₇₉	2
C₂×#126×D₇₉	2
C₂×#124×D₇₉	2
C₂×#123×D₇₉	2
C₂×C₂²⋊Q₈×D₇₉	2
C₂×#121×D₇₉	2
C₂×C₄×Q₈×D₇₉	2
C₂×C₄×D₄×D₇₉	2
C₂×#117×D₇₉	2
C₂×#542×C₇₉	2
C₂²×#542	79

Subgroups — C2×#542×D79 #35195048

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#542×D₇₉ #35195048