Subgroups — C₂×#23777428 #35196263

Order 20224.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777428	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099276	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099269	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099264	C₂	1	2	yes	maximal, complemented
5	C₂×#19099261	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099234	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099208	C₂	1	2	yes	maximal, complemented
8	C₂×#19099205	C₂	1	2	yes	maximal, complemented
9	C₂×#19099202	C₂	1	2	yes	maximal, complemented
10	C₂×D₄×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099197	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099197	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099169	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099166	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099152	C₂	1	2	yes	maximal, complemented
16	C₂×#19099149	C₂	1	2	yes	maximal, complemented
17	C₂×#19099108	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099093	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099072	C₂	1	2	yes	maximal, complemented
20	C₂×#121×D₇₉	C₂	1	2	yes	maximal, complemented
21	C₂×#19099037	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#14579123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	2	yes	complemented
26	C₂²×#11929623	C₂²	1	2	yes	complemented
27	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
28	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
32	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
33	C₂³×C₄×D₇₉	C₂²	1	2	yes	complemented
34	#19099276	C₂²	1	16	yes	complemented
35	#19099269	C₂²	1	16	yes	complemented
36	#19099264	C₂²	1	32	yes	complemented
37	#19099261	C₂²	1	16	yes	complemented
38	#19099234	C₂²	1	16	yes	complemented
39	#19099208	C₂²	1	32	yes	complemented
40	#19099205	C₂²	1	32	yes	complemented
41	#19099202	C₂²	1	32	yes	complemented
42	D₄×D₃₁₆	C₂²	1	16	yes	complemented
43	#19099197	C₂²	1	16	yes	complemented
44	#19099197	C₂²	1	16	yes	complemented
45	#19099169	C₂²	1	16	yes	complemented
46	#19099166	C₂²	1	16	yes	complemented
47	#19099152	C₂²	1	32	yes	complemented
48	#19099149	C₂²	1	32	yes	complemented
49	#19099108	C₂²	1	16	yes	complemented
50	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
51	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
52	C₂×#14579157	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579157	C₂²	1	1	yes	characteristic, complemented
54	#19099093	C₂²	1	16	yes	complemented
55	C₂×#14579156	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14579156	C₂²	1	2	yes	complemented
57	C₂×#14579154	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14579151	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14579149	C₂²	1	2	yes	complemented
61	C₂×#14579147	C₂²	1	2	yes	complemented
62	C₂×#14579147	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14579147	C₂²	1	2	yes	complemented
64	#19099072	C₂²	1	32	yes	complemented
65	C₂×#14579146	C₂²	1	2	yes	complemented
66	C₂×#14579146	C₂²	1	2	yes	complemented
67	C₂×#14579146	C₂²	1	2	yes	complemented
68	C₂×#14579145	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14579145	C₂²	1	2	yes	complemented
70	C₂×#14579143	C₂²	1	2	yes	complemented
71	C₂×#14579142	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14579141	C₂²	1	2	yes	complemented
73	C₂×#14579139	C₂²	1	2	yes	complemented
74	C₂×#14579139	C₂²	1	2	yes	complemented
75	C₂×#14579138	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14579136	C₂²	1	2	yes	complemented
79	C₂×#14579136	C₂²	1	2	yes	complemented
80	C₂×#14579136	C₂²	1	2	yes	complemented
81	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14579135	C₂²	1	2	yes	complemented
84	C₂×#14579135	C₂²	1	2	yes	complemented
85	C₂×#14579134	C₂²	1	2	yes	complemented
86	C₂×#14579134	C₂²	1	2	yes	complemented
87	C₂×#14579134	C₂²	1	2	yes	complemented
88	C₂×#14579134	C₂²	1	2	yes	complemented
89	C₂×#14579134	C₂²	1	2	yes	complemented
90	C₂×#14579133	C₂²	1	1	yes	characteristic
91	C₂×#14579133	C₂²	1	2	yes	complemented
92	C₂×#14579133	C₂²	1	2	yes	complemented
93	C₂×#14579132	C₂²	1	2	yes	complemented
94	#121×D₇₉	C₂²	1	32	yes	complemented
95	C₂×#14579131	C₂²	1	2	yes	complemented
96	C₂×#14579131	C₂²	1	2	yes	complemented
97	C₂×#14579131	C₂²	1	2	yes	complemented
98	C₂×#14579131	C₂²	1	2	yes	complemented
99	C₂×#14579129	C₂²	1	2	yes	complemented
100	C₂×#14579129	C₂²	1	2	yes	complemented
101	#19099037	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×D₃₁₆	C₂²	1	1	yes	characteristic
105	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
106	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
107	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
108	C₂×#14579123	C₂²	1	1	yes	characteristic
109	C₂×#14579123	C₂²	1	1	yes	characteristic
110	C₂×#14579123	C₂²	1	1	yes	characteristic
111	C₂×#14579123	C₂²	1	2	yes	complemented
112	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14579123	C₂²	1	2	yes	complemented
114	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14579123	C₂²	1	16	yes	complemented
118	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
121	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
122	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
123	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
124	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
127	C₂×#14579118	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
129	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
130	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
134	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
135	#553×C₇₉	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
137	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
139	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
145	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂⁴×D₇₉	C₂³	1	2	yes	—
149	C₂⁴×D₇₉	C₂³	1	2	yes	—
150	C₂×#11929624	—	4	8	no	—
151	C₂×#11929624	C₂³	1	16	yes	complemented
152	C₂×#11929623	—	4	8	no	—
153	C₂×#11929623	C₂³	1	16	yes	complemented
154	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
156	C₂²×D₃₁₆	—	2	8	no	—
157	C₂²×D₃₁₆	—	2	8	no	—
158	C₂²×D₃₁₆	C₂³	1	8	yes	—
159	C₂²×D₃₁₆	C₂³	1	8	yes	—
160	C₂²×D₃₁₆	C₂³	1	2	yes	—
161	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
162	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
163	C₂²×D₃₁₆	C₂³	1	2	yes	—
164	C₂²×D₃₁₆	C₂³	1	2	yes	—
165	C₂²×D₃₁₆	C₂³	1	2	yes	—
166	C₂²×D₃₁₆	C₂³	1	2	yes	—
167	C₂²×D₃₁₆	C₂³	1	2	yes	—
168	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
169	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
174	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
178	C₂×D₄×D₇₉	—	2	8	no	—
179	C₂×D₄×D₇₉	—	4	8	no	—
180	C₂×D₄×D₇₉	—	4	8	no	—
181	C₂×D₄×D₇₉	—	4	8	no	—
182	C₂×D₄×D₇₉	C₂³	1	8	yes	—
183	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
184	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
185	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
186	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
187	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
188	C₂³×Dic₇₉	C₂³	1	2	yes	—
189	C₂²×C₄×D₇₉	—	4	8	no	—
190	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
193	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
194	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
195	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
196	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
197	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
198	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
199	C₂²×C₄×D₇₉	C₂³	1	16	yes	complemented
200	#14579160	C₂³	1	8	yes	complemented
201	#14579158	C₂³	1	8	yes	complemented
202	#14579157	C₂³	1	8	yes	complemented
203	#14579157	C₂³	1	8	yes	complemented
204	#14579156	C₂³	1	16	yes	complemented
205	#14579156	C₂³	1	8	yes	complemented
206	#14579154	C₂³	1	8	yes	complemented
207	#14579152	C₂³	1	8	yes	complemented
208	#14579151	C₂³	1	8	yes	complemented
209	#14579149	C₂³	1	16	yes	complemented
210	#14579147	C₂³	1	16	yes	complemented
211	#14579147	C₂³	1	16	yes	complemented
212	#14579147	C₂³	1	8	yes	complemented
213	#14579146	C₂³	1	16	yes	complemented
214	#14579146	C₂³	1	16	yes	complemented
215	#14579146	C₂³	1	16	yes	complemented
216	#14579145	C₂³	1	16	yes	complemented
217	#14579145	C₂³	1	8	yes	complemented
218	#14579143	C₂³	1	16	yes	complemented
219	#14579142	C₂³	1	8	yes	complemented
220	#14579141	C₂³	1	16	yes	complemented
221	#14579139	C₂³	1	16	yes	complemented
222	#14579139	C₂³	1	16	yes	complemented
223	#14579138	C₂³	1	8	yes	complemented
224	#14579136	C₂³	1	16	yes	complemented
225	#14579136	C₂³	1	16	yes	complemented
226	#14579136	C₂³	1	8	yes	complemented
227	#14579136	C₂³	1	8	yes	complemented
228	#14579136	C₂³	1	16	yes	complemented
229	#14579135	C₂³	1	16	yes	complemented
230	#14579135	C₂³	1	8	yes	complemented
231	#14579135	C₂³	1	8	yes	complemented
232	#14579135	C₂³	1	16	yes	complemented
233	#14579134	C₂³	1	16	yes	complemented
234	#14579134	C₂³	1	16	yes	complemented
235	#14579134	C₂³	1	16	yes	complemented
236	#14579134	C₂³	1	16	yes	complemented
237	#14579134	C₂³	1	16	yes	complemented
238	#14579133	C₂³	1	8	yes	—
239	#14579133	C₂³	1	16	yes	complemented
240	#14579133	C₂³	1	16	yes	complemented
241	#14579132	C₂³	1	16	yes	complemented
242	#14579131	C₂³	1	16	yes	complemented
243	#14579131	C₂³	1	16	yes	complemented
244	#14579131	C₂³	1	16	yes	complemented
245	#14579131	C₂³	1	16	yes	complemented
246	#14579129	C₂³	1	16	yes	complemented
247	#14579129	C₂³	1	16	yes	complemented
248	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
249	C₄×D₃₁₆	C₂³	1	8	yes	—
250	C₄×D₃₁₆	C₂³	1	16	yes	complemented
251	C₄×D₃₁₆	C₂³	1	16	yes	complemented
252	D₄×Dic₇₉	C₂³	1	8	yes	complemented
253	#14579123	C₂³	1	8	yes	—
254	#14579123	C₂³	1	8	yes	—
255	#14579123	C₂³	1	8	yes	—
256	#14579123	C₂³	1	16	yes	complemented
257	#14579123	C₂³	1	8	yes	complemented
258	#14579123	C₂³	1	8	yes	complemented
259	#14579123	C₂³	1	16	yes	complemented
260	#14579123	C₂³	1	8	yes	complemented
261	#14579123	C₂³	1	8	yes	complemented
262	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
263	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
264	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
265	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
266	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
267	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
268	#14579120	C₂³	1	8	yes	complemented
269	#14579119	C₂³	1	8	yes	complemented
270	#14579118	C₂³	1	8	yes	complemented
271	#14579118	C₂³	1	16	yes	complemented
272	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
277	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
283	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
285	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
286	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₇₉	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	1	yes	characteristic
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	2	yes	—
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
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	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
309	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
310	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
311	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
312	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
313	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
318	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
320	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
322	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
324	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
327	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
328	#126×C₇₉	C₂³	1	16	yes	complemented
329	#125×C₇₉	C₂³	1	8	yes	complemented
330	#123×C₇₉	C₂³	1	16	yes	complemented
331	#121×C₇₉	C₂³	1	8	yes	complemented
332	#121×C₇₉	C₂³	1	8	yes	complemented
333	#121×C₇₉	C₂³	1	16	yes	complemented
334	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
335	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
336	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
337	#117×C₇₉	C₂³	1	8	yes	complemented
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
345	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
352	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
353	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
354	C₂³×D₇₉	—	2	8	no	—
355	C₂³×D₇₉	—	2	8	no	—
356	C₂³×D₇₉	—	2	8	no	—
357	C₂³×D₇₉	—	2	8	no	—
358	C₂³×D₇₉	—	4	4	no	—
359	C₂³×D₇₉	—	4	4	no	—
360	C₂³×D₇₉	—	4	4	no	—
361	C₂³×D₇₉	—	4	4	no	—
362	C₂³×D₇₉	—	4	4	no	—
363	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
364	C₂³×D₇₉	C₂⁴	1	2	yes	—
365	C₂³×D₇₉	C₂⁴	1	2	yes	—
366	C₂³×D₇₉	C₂⁴	1	8	yes	—
367	C₂³×D₇₉	C₂⁴	1	2	yes	—
368	C₂³×D₇₉	C₂⁴	1	8	yes	—
369	C₂³×D₇₉	C₂⁴	1	8	yes	—
370	#11929624	—	4	32	no	—
371	#11929623	—	4	32	no	—
372	C₂×Dic₁₅₈	—	2	4	no	—
373	C₂×Dic₁₅₈	—	4	4	no	—
374	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
375	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
376	C₂×D₃₁₆	—	2	32	no	—
377	C₂×D₃₁₆	—	2	32	no	—
378	C₂×D₃₁₆	—	2	8	no	—
379	C₂×D₃₁₆	—	2	8	no	—
380	C₂×D₃₁₆	—	2	4	no	—
381	C₂×D₃₁₆	—	2	4	no	—
382	C₂×D₃₁₆	—	4	4	no	—
383	C₂×D₃₁₆	—	4	4	no	—
384	C₂×D₃₁₆	—	4	4	no	—
385	C₂×D₃₁₆	—	4	4	no	—
386	C₂×D₃₁₆	#41	1	8	yes	complemented
387	C₂×D₃₁₆	C₂⁴	1	8	yes	—
388	C₂×D₃₁₆	C₂⁴	1	4	yes	—
389	C₂×D₃₁₆	C₂⁴	1	4	yes	—
390	C₂×D₃₁₆	C₂⁴	1	8	yes	—
391	C₂×D₃₁₆	C₂⁴	1	8	yes	—
392	C₂×D₃₁₆	C₂⁴	1	8	yes	—
393	C₂×D₃₁₆	C₂⁴	1	8	yes	—
394	C₂×D₃₁₆	C₂⁴	1	8	yes	—
395	C₂×D₃₁₆	C₂⁴	1	4	yes	—
396	C₂×C₂²⋊D₇₉	—	2	8	no	—
397	C₂×C₂²⋊D₇₉	—	2	4	no	—
398	C₂×C₂²⋊D₇₉	—	2	8	no	—
399	C₂×C₂²⋊D₇₉	—	2	4	no	—
400	C₂×C₂²⋊D₇₉	—	2	8	no	—
401	C₂×C₂²⋊D₇₉	—	4	4	no	—
402	C₂×C₂²⋊D₇₉	—	4	4	no	—
403	C₂×C₂²⋊D₇₉	—	4	4	no	—
404	C₂×C₂²⋊D₇₉	—	4	4	no	—
405	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
414	D₄×D₇₉	—	2	32	no	—
415	D₄×D₇₉	—	4	32	no	—
416	D₄×D₇₉	—	4	32	no	—
417	D₄×D₇₉	—	4	32	no	—
418	C₂²×Dic₇₉	—	2	4	no	—
419	C₂²×Dic₇₉	—	2	4	no	—
420	C₂²×Dic₇₉	—	4	4	no	—
421	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
423	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
425	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
430	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
431	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
432	C₂×C₄×D₇₉	—	2	8	no	—
433	C₂×C₄×D₇₉	—	2	8	no	—
434	C₂×C₄×D₇₉	—	2	4	no	—
435	C₂×C₄×D₇₉	—	4	4	no	—
436	C₂×C₄×D₇₉	—	4	4	no	—
437	C₂×C₄×D₇₉	—	4	4	no	—
438	C₂×C₄×D₇₉	—	4	4	no	—
439	C₂×C₄×D₇₉	—	4	4	no	—
440	C₂×C₄×D₇₉	—	4	4	no	—
441	C₂×C₄×D₇₉	—	4	32	no	—
442	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
443	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
444	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
445	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
446	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
450	C₂×C₄×D₇₉	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	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
455	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
456	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
457	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
458	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
459	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
460	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
461	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
462	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
463	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
464	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
465	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
466	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
467	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
469	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
470	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
471	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
472	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
486	C₄×Dic₇₉	C₂⁴	1	4	yes	—
487	C₄×Dic₇₉	C₂⁴	1	4	yes	—
488	C₄×Dic₇₉	C₂⁴	1	4	yes	—
489	C₄×Dic₇₉	C₂⁴	1	4	yes	—
490	C₄×Dic₇₉	C₂⁴	1	8	yes	—
491	C₄×Dic₇₉	C₂⁴	1	4	yes	—
492	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
493	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
494	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₇₉	—	2	8	no	—
496	C₂×D₄×C₇₉	—	2	4	no	—
497	C₂×D₄×C₇₉	—	2	4	no	—
498	C₂×D₄×C₇₉	—	4	4	no	—
499	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
500	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
501	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂²×C₄×C₇₉	—	2	4	no	—
504	C₂²×C₄×C₇₉	—	2	4	no	—
505	C₂²×C₄×C₇₉	—	4	4	no	—
506	C₂²×C₄×C₇₉	—	4	4	no	—
507	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
512	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
515	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
516	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
517	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
518	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
519	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
521	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
523	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
524	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
525	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
527	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
528	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
529	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
530	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
531	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
532	C₄²×C₇₉	C₂⁴	1	8	yes	—
533	C₄²×C₇₉	C₂⁴	1	4	yes	—
534	C₂³×C₇₉	—	2	2	no	—
535	C₂³×C₇₉	—	2	2	no	—
536	C₂³×C₇₉	—	2	4	no	—
537	C₂³×C₇₉	—	2	2	no	—
538	C₂³×C₇₉	—	2	4	no	—
539	C₂³×C₇₉	—	2	4	no	—
540	C₂³×C₇₉	—	2	2	no	—
541	C₂³×C₇₉	—	2	2	no	—
542	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
543	C₂³×C₇₉	C₂⁵	1	2	yes	—
544	C₂³×C₇₉	C₂⁵	1	4	yes	—
545	C₂³×C₇₉	C₂⁵	1	2	yes	—
546	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
547	C₂²×D₇₉	—	2	4	no	—
548	C₂²×D₇₉	—	2	4	no	—
549	C₂²×D₇₉	—	2	2	no	—
550	C₂²×D₇₉	—	2	4	no	—
551	C₂²×D₇₉	—	2	4	no	—
552	C₂²×D₇₉	—	2	4	no	—
553	C₂²×D₇₉	—	2	4	no	—
554	C₂²×D₇₉	—	2	4	no	—
555	C₂²×D₇₉	—	2	16	no	—
556	C₂²×D₇₉	—	2	2	no	—
557	C₂²×D₇₉	—	2	2	no	—
558	C₂²×D₇₉	—	2	4	no	—
559	C₂²×D₇₉	—	2	16	no	—
560	C₂²×D₇₉	—	2	16	no	—
561	C₂²×D₇₉	—	2	16	no	—
562	C₂²×D₇₉	—	4	8	no	—
563	C₂²×D₇₉	—	4	8	no	—
564	C₂²×D₇₉	—	4	8	no	—
565	C₂²×D₇₉	—	4	8	no	—
566	C₂²×D₇₉	—	4	8	no	—
567	C₂²×D₇₉	—	4	32	no	—
568	C₂²×D₇₉	—	8	16	no	—
569	C₂²×D₇₉	—	8	16	no	—
570	C₂²×D₇₉	C₂×#41	1	8	yes	—
571	C₂²×D₇₉	C₂⁵	1	2	yes	—
572	C₂²×D₇₉	C₂⁵	1	4	yes	—
573	C₂²×D₇₉	C₂⁵	1	4	yes	—
574	C₂²×D₇₉	C₂⁵	1	4	yes	—
575	D₄×C₇₉	—	2	8	no	—
576	D₄×C₇₉	—	2	16	no	—
577	D₄×C₇₉	—	2	8	no	—
578	D₄×C₇₉	—	4	8	no	—
579	C₂×C₄×C₇₉	—	2	2	no	—
580	C₂×C₄×C₇₉	—	2	2	no	—
581	C₂×C₄×C₇₉	—	2	4	no	—
582	C₂×C₄×C₇₉	—	2	4	no	—
583	C₂×C₄×C₇₉	—	2	2	no	—
584	C₂×C₄×C₇₉	—	2	4	no	—
585	C₂×C₄×C₇₉	—	2	2	no	—
586	C₂×C₄×C₇₉	—	2	8	no	—
587	C₂×C₄×C₇₉	—	2	8	no	—
588	C₂×C₄×C₇₉	—	4	8	no	—
589	C₂×C₄×C₇₉	—	4	8	no	—
590	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
591	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
592	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
593	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
594	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
595	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
596	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
597	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
598	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
599	C₂²⋊D₇₉	—	2	8	no	—
600	C₂²⋊D₇₉	—	2	16	no	—
601	C₂²⋊D₇₉	—	2	16	no	—
602	C₂²⋊D₇₉	—	2	8	no	—
603	C₂²⋊D₇₉	—	2	16	no	—
604	C₂²⋊D₇₉	—	4	8	no	—
605	C₂²⋊D₇₉	—	4	8	no	—
606	C₂²⋊D₇₉	—	4	8	no	—
607	C₂²⋊D₇₉	—	4	8	no	—
608	C₂×Dic₇₉	—	2	2	no	—
609	C₂×Dic₇₉	—	2	2	no	—
610	C₂×Dic₇₉	—	2	2	no	—
611	C₂×Dic₇₉	—	2	2	no	—
612	C₂×Dic₇₉	—	2	2	no	—
613	C₂×Dic₇₉	—	2	4	no	—
614	C₂×Dic₇₉	—	2	2	no	—
615	C₂×Dic₇₉	—	2	8	no	—
616	C₂×Dic₇₉	—	2	8	no	—
617	C₂×Dic₇₉	—	4	8	no	—
618	C₂×Dic₇₉	H(5,𝔽₂)	1	4	yes	—
619	C₂×Dic₇₉	C₂⁵	1	2	yes	—
620	C₂×Dic₇₉	C₂⁵	1	2	yes	—
621	C₂×Dic₇₉	C₂⁵	1	2	yes	—
622	C₂×Dic₇₉	C₂⁵	1	2	yes	—
623	C₂×Dic₇₉	C₂⁵	1	4	yes	—
624	C₂×Dic₇₉	C₂⁵	1	2	yes	—
625	C₂×Dic₇₉	C₂⁵	1	2	yes	—
626	C₂×Dic₇₉	C₂⁵	1	2	yes	—
627	D₃₁₆	—	2	16	no	—
628	D₃₁₆	—	2	16	no	—
629	D₃₁₆	—	2	8	no	—
630	D₃₁₆	—	2	8	no	—
631	D₃₁₆	—	4	8	no	—
632	D₃₁₆	—	4	8	no	—
633	D₃₁₆	—	4	8	no	—
634	D₃₁₆	—	4	8	no	—
635	D₃₁₆	C₂×#41	1	16	yes	complemented
636	C₄×D₇₉	—	2	8	no	—
637	C₄×D₇₉	—	2	16	no	—
638	C₄×D₇₉	—	2	16	no	—
639	C₄×D₇₉	—	4	8	no	—
640	C₄×D₇₉	—	4	8	no	—
641	C₄×D₇₉	—	4	8	no	—
642	C₄×D₇₉	—	4	8	no	—
643	C₄×D₇₉	—	4	8	no	—
644	C₄×D₇₉	—	4	8	no	—
645	Dic₁₅₈	—	2	8	no	—
646	Dic₁₅₈	—	4	8	no	—
647	C₂²×C₇₉	—	2	2	no	—
648	C₂²×C₇₉	—	2	2	no	—
649	C₂²×C₇₉	—	2	8	no	—
650	C₂²×C₇₉	—	2	4	no	—
651	C₂²×C₇₉	—	2	2	no	—
652	C₂²×C₇₉	—	2	4	no	—
653	C₂²×C₇₉	—	2	2	no	—
654	C₂²×C₇₉	—	2	2	no	—
655	C₂²×C₇₉	—	2	4	no	—
656	C₂²×C₇₉	—	4	4	no	—
657	C₂²×C₇₉	—	4	8	no	—
658	C₂²×C₇₉	C₂²×#41	1	2	yes	—
659	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
660	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
661	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
662	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
663	C₂×D₇₉	—	2	4	no	—
664	C₂×D₇₉	—	2	4	no	—
665	C₂×D₇₉	—	2	16	no	—
666	C₂×D₇₉	—	2	2	no	—
667	C₂×D₇₉	—	2	4	no	—
668	C₂×D₇₉	—	2	4	no	—
669	C₂×D₇₉	—	2	4	no	—
670	C₂×D₇₉	—	2	2	no	—
671	C₂×D₇₉	—	2	2	no	—
672	C₂×D₇₉	—	2	4	no	—
673	C₂×D₇₉	—	2	4	no	—
674	C₂×D₇₉	—	2	4	no	—
675	C₂×D₇₉	—	4	32	no	—
676	C₂×D₇₉	—	4	8	no	—
677	C₂×D₇₉	—	4	8	no	—
678	C₂×D₇₉	—	4	4	no	—
679	C₂×D₇₉	—	8	16	no	—
680	C₂×D₇₉	—	8	16	no	—
681	C₂×D₇₉	C₂²×#41	1	8	yes	—
682	C₄×C₇₉	—	2	2	no	—
683	C₄×C₇₉	—	2	2	no	—
684	C₄×C₇₉	—	2	2	no	—
685	C₄×C₇₉	—	2	4	no	—
686	C₄×C₇₉	—	2	4	no	—
687	C₄×C₇₉	—	2	4	no	—
688	C₄×C₇₉	—	2	2	no	—
689	C₄×C₇₉	C₂²×#41	1	4	yes	—
690	Dic₇₉	—	2	2	no	—
691	Dic₇₉	—	2	2	no	—
692	Dic₇₉	—	2	4	no	—
693	Dic₇₉	—	2	2	no	—
694	Dic₇₉	—	2	2	no	—
695	Dic₇₉	—	2	2	no	—
696	Dic₇₉	—	2	2	no	—
697	Dic₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
698	C₂×#3519	—	79	1	no	maximal, Sylow
699	C₂×C₇₉	—	2	4	no	—
700	C₂×C₇₉	—	4	2	no	—
701	C₂×C₇₉	—	4	4	no	—
702	C₂×C₇₉	#3519	1	4	yes	complemented
703	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
704	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
705	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
706	D₇₉	—	2	8	no	—
707	D₇₉	—	4	4	no	—
708	D₇₉	—	4	4	no	—
709	D₇₉	—	4	2	no	—
710	#3519	—	79	32	no	—
711	C₂×#555	—	79	1	no	—
712	C₂×#554	—	79	1	no	—
713	C₂×#553	—	79	2	no	—
714	C₂×#553	—	79	1	no	—
715	C₂×#553	D₇₉	1	1	yes	characteristic, complemented
716	C₂×#550	—	79	1	no	—
717	C₂×#546	—	79	2	no	—
718	C₂×#546	—	79	2	no	—
719	C₂×#546	—	79	2	no	—
720	C₂×D₄²	—	79	1	no	—
721	C₂×D₄²	—	79	1	no	—
722	C₂×D₄²	—	79	1	no	—
723	C₂×#540	—	79	1	no	—
724	C₂×#540	—	79	1	no	—
725	C₂×#538	—	79	2	no	—
726	C₂×#538	—	79	2	no	—
727	C₂×#532	—	79	1	no	—
728	C₂×#529	—	79	1	no	—
729	C₂×#525	—	79	2	no	—
730	C₂²×#121	—	79	2	no	—
731	C₂×#518	—	79	1	no	—
732	C₂×#518	—	79	1	no	—
733	C₂²×C₄×D₄	—	79	1	no	—
734	C₇₉	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
735	C₂²×#41	—	79	2	no	—
736	C₂²×#41	—	79	2	no	—
737	C₂³×D₄	—	79	2	no	—
738	C₂³×D₄	—	79	2	no	—
739	C₂³×D₄	—	79	2	no	—
740	C₂³×D₄	—	79	1	no	—
741	C₂³×D₄	—	79	1	no	—
742	C₂³×D₄	—	79	1	no	—
743	C₂⁴×C₄	—	79	2	no	—
744	#555	—	79	16	no	—
745	#554	—	79	16	no	—
746	#553	—	79	32	no	—
747	#553	—	79	16	no	—
748	#553	C₂×D₇₉	1	16	yes	complemented
749	#550	—	79	16	no	—
750	#546	—	79	32	no	—
751	#546	—	79	32	no	—
752	#546	—	79	32	no	—
753	D₄²	—	79	16	no	—
754	D₄²	—	79	16	no	—
755	D₄²	—	79	16	no	—
756	#540	—	79	16	no	—
757	#540	—	79	16	no	—
758	#538	—	79	32	no	—
759	#538	—	79	32	no	—
760	#532	—	79	16	no	—
761	C₂×C₄⋊Q₈	—	79	1	no	—
762	C₂×#127	—	79	1	no	—
763	C₂×#127	—	79	1	no	—
764	C₂×#127	—	79	1	no	—
765	#529	—	79	16	no	—
766	C₂×#126	—	79	1	no	—
767	C₂×#126	—	79	2	no	—
768	C₂×#126	—	79	1	no	—
769	C₂×#126	C₂×D₇₉	1	2	yes	complemented
770	C₂×#125	—	79	1	no	—
771	C₂×#125	—	79	1	no	—
772	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
773	C₂×#124	—	79	1	no	—
774	C₂×#124	—	79	2	no	—
775	C₂×#124	—	79	2	no	—
776	C₂×#124	—	79	2	no	—
777	#525	—	79	32	no	—
778	C₂×#123	—	79	1	no	—
779	C₂×#123	—	79	2	no	—
780	C₂×#123	—	79	2	no	—
781	C₂×#123	—	79	2	no	—
782	C₂×#123	—	79	2	no	—
783	C₂×#123	—	79	1	no	—
784	C₂×#123	—	79	2	no	—
785	C₂×#123	C₂×D₇₉	1	2	yes	complemented
786	C₂×C₂²⋊Q₈	—	79	2	no	—
787	C₂×C₂²⋊Q₈	—	79	2	no	—
788	C₂×C₂²⋊Q₈	—	79	2	no	—
789	C₂×C₂²⋊Q₈	—	79	1	no	—
790	C₂×#121	—	79	1	no	—
791	C₂×#121	—	79	2	no	—
792	C₂×#121	—	79	2	no	—
793	C₂×#121	—	79	2	no	—
794	C₂×#121	—	79	2	no	—
795	C₂×#121	—	79	1	no	—
796	C₂×#121	—	79	2	no	—
797	C₂×#121	—	79	1	no	—
798	C₂×#121	—	79	32	no	—
799	C₂×#121	—	79	2	no	—
800	C₂×#121	—	79	2	no	—
801	C₂×#121	—	79	1	no	—
802	C₂×#121	—	79	1	no	—
803	C₂×#121	—	79	2	no	—
804	C₂×#121	—	79	2	no	—
805	C₂×#121	—	79	2	no	—
806	C₂×#121	—	79	2	no	—
807	C₂×#121	—	79	2	no	—
808	C₂×#121	—	79	2	no	—
809	C₂×#121	C₂×D₇₉	1	2	yes	complemented
810	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
811	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
812	C₂×#120	—	79	2	no	—
813	C₂×#120	—	79	2	no	—
814	C₂×#120	—	79	2	no	—
815	C₂×#120	—	79	2	no	—
816	C₂×#120	—	79	2	no	—
817	C₂×#120	—	79	2	no	—
818	#518	—	79	16	no	—
819	#518	—	79	16	no	—
820	C₂×C₄×Q₈	—	79	1	no	—
821	C₂×C₄×D₄	—	79	1	no	—
822	C₂×C₄×D₄	—	79	2	no	—
823	C₂×C₄×D₄	—	79	2	no	—
824	C₂×C₄×D₄	—	79	1	no	—
825	C₂×C₄×D₄	—	79	1	no	—
826	C₂×C₄×D₄	—	79	1	no	—
827	C₂×C₄×D₄	—	79	2	no	—
828	C₂×C₄×D₄	—	79	1	no	—
829	C₂×C₄×D₄	—	79	1	no	—
830	C₂×C₄×D₄	—	79	2	no	—
831	C₂×C₄×D₄	—	79	1	no	—
832	C₂×C₄×D₄	—	79	1	no	—
833	C₂×C₄×D₄	—	79	1	no	—
834	C₂×C₄×D₄	—	79	1	no	—
835	C₂×C₄×D₄	—	79	16	no	—
836	C₂×C₄×D₄	—	79	2	no	—
837	C₂×C₄×D₄	—	79	2	no	—
838	C₂×C₄×D₄	—	79	2	no	—
839	C₂×C₄×D₄	—	79	1	no	—
840	C₂×C₄×D₄	—	79	2	no	—
841	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
842	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
843	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
844	C₂×#117	—	79	1	no	—
845	C₂×#117	—	79	1	no	—
846	C₂×#117	—	79	1	no	—
847	C₂×#117	—	79	2	no	—
848	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
849	C₂²×C₄⋊C₄	—	79	2	no	—
850	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
851	C₂²×C₂²⋊C₄	—	79	2	no	—
852	C₂²×C₂²⋊C₄	—	79	2	no	—
853	C₂²×C₂²⋊C₄	—	79	2	no	—
854	C₂²×C₂²⋊C₄	—	79	2	no	—
855	C₂²×C₂²⋊C₄	—	79	2	no	—
856	C₂²×C₄²	—	79	1	no	—
857	C₂⁵	—	79	2	no	—
858	C₂⁵	—	79	2	no	—
859	C₂⁵	—	79	2	no	—
860	C₂×#41	—	316	8	no	—
861	C₂×#41	—	316	8	no	—
862	C₂×#41	—	79	16	no	—
863	C₂×#41	—	79	16	no	—
864	C₂²×Q₈	—	79	2	no	—
865	C₂²×Q₈	—	79	1	no	—
866	C₂²×D₄	—	316	8	no	—
867	C₂²×D₄	—	316	8	no	—
868	C₂²×D₄	—	316	8	no	—
869	C₂²×D₄	—	79	2	no	—
870	C₂²×D₄	—	79	2	no	—
871	C₂²×D₄	—	79	2	no	—
872	C₂²×D₄	—	79	2	no	—
873	C₂²×D₄	—	79	16	no	—
874	C₂²×D₄	—	79	16	no	—
875	C₂²×D₄	—	79	16	no	—
876	C₂²×D₄	—	79	2	no	—
877	C₂²×D₄	—	79	2	no	—
878	C₂²×D₄	—	79	1	no	—
879	C₂²×D₄	—	79	1	no	—
880	C₂²×D₄	—	79	2	no	—
881	C₂²×D₄	—	79	8	no	—
882	C₂²×D₄	—	79	2	no	—
883	C₂²×D₄	—	79	2	no	—
884	C₂²×D₄	—	79	2	no	—
885	C₂²×D₄	—	79	2	no	—
886	C₂²×D₄	—	79	1	no	—
887	C₂²×D₄	—	79	2	no	—
888	C₂²×D₄	—	79	2	no	—
889	C₂²×D₄	—	79	1	no	—
890	C₂²×D₄	—	79	1	no	—
891	C₂²×D₄	—	79	8	no	—
892	C₂²×D₄	—	79	8	no	—
893	C₂²×D₄	—	158	8	no	—
894	C₂²×D₄	—	158	8	no	—
895	C₂²×D₄	—	158	8	no	—
896	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
897	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
898	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
899	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
900	C₂³×C₄	—	316	8	no	—
901	C₂³×C₄	—	79	2	no	—
902	C₂³×C₄	—	79	2	no	—
903	C₂³×C₄	—	79	2	no	—
904	C₂³×C₄	—	79	2	no	—
905	C₂³×C₄	—	79	2	no	—
906	C₂³×C₄	—	79	2	no	—
907	C₂³×C₄	—	79	2	no	—
908	C₂³×C₄	—	79	16	no	—
909	C₂³×C₄	—	79	1	no	—
910	C₂³×C₄	—	79	1	no	—
911	C₂³×C₄	—	79	2	no	—
912	C₂³×C₄	—	79	1	no	—
913	C₂³×C₄	—	79	2	no	—
914	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
915	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
916	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
917	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
918	C₄⋊Q₈	—	79	8	no	—
919	#127	—	79	8	no	—
920	#127	—	79	8	no	—
921	#127	—	79	8	no	—
922	#126	—	79	8	no	—
923	#126	—	79	16	no	—
924	#126	—	79	8	no	—
925	#126	C₂²×D₇₉	1	16	yes	complemented
926	#125	—	79	8	no	—
927	#125	—	79	8	no	—
928	#125	C₂²×D₇₉	1	8	yes	complemented
929	#124	—	79	8	no	—
930	#124	—	79	16	no	—
931	#124	—	79	16	no	—
932	#124	—	79	16	no	—
933	#123	—	79	8	no	—
934	#123	—	79	16	no	—
935	#123	—	79	16	no	—
936	#123	—	79	16	no	—
937	#123	—	79	16	no	—
938	#123	—	79	8	no	—
939	#123	—	79	16	no	—
940	#123	C₂²×D₇₉	1	16	yes	complemented
941	C₂²⋊Q₈	—	79	16	no	—
942	C₂²⋊Q₈	—	79	16	no	—
943	C₂²⋊Q₈	—	79	16	no	—
944	C₂²⋊Q₈	—	79	8	no	—
945	#121	—	79	8	no	—
946	#121	—	79	16	no	—
947	#121	—	79	16	no	—
948	#121	—	79	16	no	—
949	#121	—	79	16	no	—
950	#121	—	79	8	no	—
951	#121	—	79	16	no	—
952	#121	—	79	8	no	—
953	#121	—	79	16	no	—
954	#121	—	79	16	no	—
955	#121	—	79	8	no	—
956	#121	—	79	8	no	—
957	#121	—	79	16	no	—
958	#121	—	79	16	no	—
959	#121	—	79	16	no	—
960	#121	—	79	16	no	—
961	#121	—	79	16	no	—
962	#121	—	79	16	no	—
963	#121	C₂²×D₇₉	1	16	yes	complemented
964	#121	C₂²×D₇₉	1	8	yes	complemented
965	#121	C₂²×D₇₉	1	8	yes	complemented
966	#120	—	79	16	no	—
967	#120	—	79	16	no	—
968	#120	—	79	16	no	—
969	#120	—	79	16	no	—
970	#120	—	79	16	no	—
971	#120	—	79	16	no	—
972	C₄×Q₈	—	79	8	no	—
973	C₄×D₄	—	79	8	no	—
974	C₄×D₄	—	79	16	no	—
975	C₄×D₄	—	79	16	no	—
976	C₄×D₄	—	79	8	no	—
977	C₄×D₄	—	79	8	no	—
978	C₄×D₄	—	79	8	no	—
979	C₄×D₄	—	79	16	no	—
980	C₄×D₄	—	79	8	no	—
981	C₄×D₄	—	79	8	no	—
982	C₄×D₄	—	79	16	no	—
983	C₄×D₄	—	79	8	no	—
984	C₄×D₄	—	79	8	no	—
985	C₄×D₄	—	79	8	no	—
986	C₄×D₄	—	79	8	no	—
987	C₄×D₄	—	79	16	no	—
988	C₄×D₄	—	79	16	no	—
989	C₄×D₄	—	79	16	no	—
990	C₄×D₄	—	79	8	no	—
991	C₄×D₄	—	79	16	no	—
992	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
993	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
994	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
995	#117	—	79	8	no	—
996	#117	—	79	8	no	—
997	#117	—	79	8	no	—
998	#117	—	79	16	no	—
999	#117	C₂²×D₇₉	1	8	yes	complemented
1000	C₂×C₄⋊C₄	—	79	1	no	—
1001	C₂×C₄⋊C₄	—	79	2	no	—
1002	C₂×C₄⋊C₄	—	79	2	no	—
1003	C₂×C₄⋊C₄	—	79	1	no	—
1004	C₂×C₄⋊C₄	—	79	1	no	—
1005	C₂×C₄⋊C₄	—	79	1	no	—
1006	C₂×C₄⋊C₄	—	79	1	no	—
1007	C₂×C₄⋊C₄	—	79	1	no	—
1008	C₂×C₄⋊C₄	—	79	1	no	—
1009	C₂×C₄⋊C₄	—	79	1	no	—
1010	C₂×C₄⋊C₄	—	79	2	no	—
1011	C₂×C₄⋊C₄	—	79	1	no	—
1012	C₂×C₄⋊C₄	—	79	1	no	—
1013	C₂×C₄⋊C₄	—	79	16	no	—
1014	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1015	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1018	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1022	C₂×C₂²⋊C₄	—	79	1	no	—
1023	C₂×C₂²⋊C₄	—	79	1	no	—
1024	C₂×C₂²⋊C₄	—	79	2	no	—
1025	C₂×C₂²⋊C₄	—	79	1	no	—
1026	C₂×C₂²⋊C₄	—	79	1	no	—
1027	C₂×C₂²⋊C₄	—	79	2	no	—
1028	C₂×C₂²⋊C₄	—	79	1	no	—
1029	C₂×C₂²⋊C₄	—	79	1	no	—
1030	C₂×C₂²⋊C₄	—	79	2	no	—
1031	C₂×C₂²⋊C₄	—	79	2	no	—
1032	C₂×C₂²⋊C₄	—	79	2	no	—
1033	C₂×C₂²⋊C₄	—	79	2	no	—
1034	C₂×C₂²⋊C₄	—	79	2	no	—
1035	C₂×C₂²⋊C₄	—	79	2	no	—
1036	C₂×C₂²⋊C₄	—	79	2	no	—
1037	C₂×C₂²⋊C₄	—	79	2	no	—
1038	C₂×C₂²⋊C₄	—	79	16	no	—
1039	C₂×C₂²⋊C₄	—	79	16	no	—
1040	C₂×C₂²⋊C₄	—	79	2	no	—
1041	C₂×C₂²⋊C₄	—	79	2	no	—
1042	C₂×C₂²⋊C₄	—	79	1	no	—
1043	C₂×C₂²⋊C₄	—	79	1	no	—
1044	C₂×C₂²⋊C₄	—	79	2	no	—
1045	C₂×C₂²⋊C₄	—	79	2	no	—
1046	C₂×C₂²⋊C₄	—	79	16	no	—
1047	C₂×C₂²⋊C₄	—	79	16	no	—
1048	C₂×C₂²⋊C₄	—	79	16	no	—
1049	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1055	C₂×C₄²	—	79	1	no	—
1056	C₂×C₄²	—	79	2	no	—
1057	C₂×C₄²	—	79	1	no	—
1058	C₂×C₄²	—	79	1	no	—
1059	C₂×C₄²	—	79	1	no	—
1060	C₂×C₄²	—	79	1	no	—
1061	C₂×C₄²	—	79	8	no	—
1062	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1063	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1064	C₂⁴	—	316	4	no	—
1065	C₂⁴	—	316	4	no	—
1066	C₂⁴	—	316	4	no	—
1067	C₂⁴	—	316	4	no	—
1068	C₂⁴	—	316	4	no	—
1069	C₂⁴	—	79	8	no	—
1070	C₂⁴	—	79	8	no	—
1071	C₂⁴	—	79	8	no	—
1072	C₂⁴	—	79	2	no	—
1073	C₂⁴	—	79	1	no	—
1074	C₂⁴	—	79	2	no	—
1075	C₂⁴	—	79	2	no	—
1076	C₂⁴	—	158	8	no	—
1077	C₂⁴	—	158	8	no	—
1078	C₂⁴	—	158	8	no	—
1079	C₂⁴	—	158	8	no	—
1080	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1081	C₂⁴	C₂³×D₇₉	1	2	yes	—
1082	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1083	#41	—	316	32	no	—
1084	#41	—	316	32	no	—
1085	C₂×Q₈	—	316	4	no	—
1086	C₂×Q₈	—	79	8	no	—
1087	C₂×Q₈	—	79	4	no	—
1088	C₂×Q₈	—	158	4	no	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	2	8	no	—
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	316	4	no	—
1094	C₂×D₄	—	316	4	no	—
1095	C₂×D₄	—	316	4	no	—
1096	C₂×D₄	—	316	4	no	—
1097	C₂×D₄	—	316	32	no	—
1098	C₂×D₄	—	316	32	no	—
1099	C₂×D₄	—	316	32	no	—
1100	C₂×D₄	—	316	4	no	—
1101	C₂×D₄	—	316	4	no	—
1102	C₂×D₄	—	316	4	no	—
1103	C₂×D₄	—	316	4	no	—
1104	C₂×D₄	—	79	8	no	—
1105	C₂×D₄	—	79	8	no	—
1106	C₂×D₄	—	79	8	no	—
1107	C₂×D₄	—	79	8	no	—
1108	C₂×D₄	—	79	8	no	—
1109	C₂×D₄	—	79	8	no	—
1110	C₂×D₄	—	79	4	no	—
1111	C₂×D₄	—	79	4	no	—
1112	C₂×D₄	—	79	8	no	—
1113	C₂×D₄	—	79	8	no	—
1114	C₂×D₄	—	79	8	no	—
1115	C₂×D₄	—	79	8	no	—
1116	C₂×D₄	—	79	8	no	—
1117	C₂×D₄	—	79	8	no	—
1118	C₂×D₄	—	79	4	no	—
1119	C₂×D₄	—	79	8	no	—
1120	C₂×D₄	—	79	8	no	—
1121	C₂×D₄	—	79	4	no	—
1122	C₂×D₄	—	79	4	no	—
1123	C₂×D₄	—	158	32	no	—
1124	C₂×D₄	—	158	32	no	—
1125	C₂×D₄	—	158	8	no	—
1126	C₂×D₄	—	158	8	no	—
1127	C₂×D₄	—	158	4	no	—
1128	C₂×D₄	—	158	8	no	—
1129	C₂×D₄	—	158	32	no	—
1130	C₂×D₄	—	158	8	no	—
1131	C₂×D₄	—	158	4	no	—
1132	C₂×D₄	—	158	8	no	—
1133	C₂×D₄	—	158	4	no	—
1134	C₂×D₄	—	158	4	no	—
1135	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1136	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1137	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1138	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1139	C₂²×C₄	—	2	4	no	—
1140	C₂²×C₄	—	2	4	no	—
1141	C₂²×C₄	—	4	4	no	—
1142	C₂²×C₄	—	4	4	no	—
1143	C₂²×C₄	—	316	4	no	—
1144	C₂²×C₄	—	316	4	no	—
1145	C₂²×C₄	—	316	4	no	—
1146	C₂²×C₄	—	316	4	no	—
1147	C₂²×C₄	—	316	4	no	—
1148	C₂²×C₄	—	316	4	no	—
1149	C₂²×C₄	—	316	32	no	—
1150	C₂²×C₄	—	316	4	no	—
1151	C₂²×C₄	—	79	8	no	—
1152	C₂²×C₄	—	79	8	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	1	no	—
1159	C₂²×C₄	—	79	4	no	—
1160	C₂²×C₄	—	79	4	no	—
1161	C₂²×C₄	—	79	1	no	—
1162	C₂²×C₄	—	79	1	no	—
1163	C₂²×C₄	—	79	1	no	—
1164	C₂²×C₄	—	79	1	no	—
1165	C₂²×C₄	—	79	1	no	—
1166	C₂²×C₄	—	79	2	no	—
1167	C₂²×C₄	—	79	1	no	—
1168	C₂²×C₄	—	79	8	no	—
1169	C₂²×C₄	—	79	4	no	—
1170	C₂²×C₄	—	79	8	no	—
1171	C₂²×C₄	—	158	8	no	—
1172	C₂²×C₄	—	158	8	no	—
1173	C₂²×C₄	—	158	4	no	—
1174	C₂²×C₄	—	158	4	no	—
1175	C₂²×C₄	—	158	4	no	—
1176	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1177	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1178	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1180	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1183	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1185	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1186	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1187	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1188	C₄⋊C₄	—	79	4	no	—
1189	C₄⋊C₄	—	79	8	no	—
1190	C₄⋊C₄	—	79	4	no	—
1191	C₄⋊C₄	—	79	4	no	—
1192	C₄⋊C₄	—	79	4	no	—
1193	C₄⋊C₄	—	79	4	no	—
1194	C₄⋊C₄	—	79	8	no	—
1195	C₄⋊C₄	—	79	4	no	—
1196	C₄⋊C₄	—	79	8	no	—
1197	C₄⋊C₄	—	79	4	no	—
1198	C₄⋊C₄	—	79	4	no	—
1199	C₄⋊C₄	—	79	4	no	—
1200	C₄⋊C₄	—	79	4	no	—
1201	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1202	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1203	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1204	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1205	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1206	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1207	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1208	C₂²⋊C₄	—	79	4	no	—
1209	C₂²⋊C₄	—	79	4	no	—
1210	C₂²⋊C₄	—	79	8	no	—
1211	C₂²⋊C₄	—	79	4	no	—
1212	C₂²⋊C₄	—	79	4	no	—
1213	C₂²⋊C₄	—	79	8	no	—
1214	C₂²⋊C₄	—	79	4	no	—
1215	C₂²⋊C₄	—	79	4	no	—
1216	C₂²⋊C₄	—	79	8	no	—
1217	C₂²⋊C₄	—	79	8	no	—
1218	C₂²⋊C₄	—	79	8	no	—
1219	C₂²⋊C₄	—	79	8	no	—
1220	C₂²⋊C₄	—	79	8	no	—
1221	C₂²⋊C₄	—	79	8	no	—
1222	C₂²⋊C₄	—	79	8	no	—
1223	C₂²⋊C₄	—	79	8	no	—
1224	C₂²⋊C₄	—	79	8	no	—
1225	C₂²⋊C₄	—	79	8	no	—
1226	C₂²⋊C₄	—	79	4	no	—
1227	C₂²⋊C₄	—	79	4	no	—
1228	C₂²⋊C₄	—	79	8	no	—
1229	C₂²⋊C₄	—	79	8	no	—
1230	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1231	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1232	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1233	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1234	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1235	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1236	C₄²	—	79	4	no	—
1237	C₄²	—	79	4	no	—
1238	C₄²	—	79	4	no	—
1239	C₄²	—	79	4	no	—
1240	C₄²	—	79	8	no	—
1241	C₄²	—	79	4	no	—
1242	C₄²	C₂³×D₇₉	1	8	yes	—
1243	C₄²	C₂³×D₇₉	1	4	yes	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	2	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	316	32	no	—
1253	C₂³	—	316	8	no	—
1254	C₂³	—	316	8	no	—
1255	C₂³	—	316	8	no	—
1256	C₂³	—	316	8	no	—
1257	C₂³	—	316	8	no	—
1258	C₂³	—	79	4	no	—
1259	C₂³	—	79	8	no	—
1260	C₂³	—	79	2	no	—
1261	C₂³	—	79	4	no	—
1262	C₂³	—	79	4	no	—
1263	C₂³	—	632	16	no	—
1264	C₂³	—	632	16	no	—
1265	C₂³	—	158	16	no	—
1266	C₂³	—	158	16	no	—
1267	C₂³	—	158	16	no	—
1268	C₂³	—	158	4	no	—
1269	C₂³	—	158	4	no	—
1270	C₂³	—	158	2	no	—
1271	C₂³	—	158	4	no	—
1272	C₂³	—	158	16	no	—
1273	C₂³	—	158	4	no	—
1274	C₂³	—	158	2	no	—
1275	C₂³	—	158	2	no	—
1276	C₂³	—	158	4	no	—
1277	C₂³	—	158	4	no	—
1278	C₂³	—	158	4	no	—
1279	C₂³	—	158	4	no	—
1280	C₂³	#14579207	1	4	yes	—
1281	C₂³	C₂⁴×D₇₉	1	2	yes	—
1282	C₂³	C₂⁴×D₇₉	1	4	yes	—
1283	C₂³	C₂⁴×D₇₉	1	2	yes	—
1284	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1285	Q₈	—	316	8	no	—
1286	Q₈	—	158	8	no	—
1287	D₄	—	2	8	no	—
1288	D₄	—	2	16	no	—
1289	D₄	—	2	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	316	8	no	—
1292	D₄	—	316	8	no	—
1293	D₄	—	316	8	no	—
1294	D₄	—	316	8	no	—
1295	D₄	—	316	8	no	—
1296	D₄	—	316	8	no	—
1297	D₄	—	316	8	no	—
1298	D₄	—	316	8	no	—
1299	D₄	—	79	16	no	—
1300	D₄	—	158	16	no	—
1301	D₄	—	158	16	no	—
1302	D₄	—	158	8	no	—
1303	D₄	—	158	16	no	—
1304	D₄	—	158	16	no	—
1305	D₄	—	158	8	no	—
1306	D₄	—	158	16	no	—
1307	D₄	—	158	8	no	—
1308	D₄	—	158	8	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	8	no	—
1317	C₂×C₄	—	2	8	no	—
1318	C₂×C₄	—	4	8	no	—
1319	C₂×C₄	—	4	8	no	—
1320	C₂×C₄	—	316	8	no	—
1321	C₂×C₄	—	316	8	no	—
1322	C₂×C₄	—	316	8	no	—
1323	C₂×C₄	—	316	8	no	—
1324	C₂×C₄	—	316	8	no	—
1325	C₂×C₄	—	316	8	no	—
1326	C₂×C₄	—	316	8	no	—
1327	C₂×C₄	—	79	4	no	—
1328	C₂×C₄	—	79	2	no	—
1329	C₂×C₄	—	79	2	no	—
1330	C₂×C₄	—	79	2	no	—
1331	C₂×C₄	—	79	2	no	—
1332	C₂×C₄	—	79	2	no	—
1333	C₂×C₄	—	79	2	no	—
1334	C₂×C₄	—	79	4	no	—
1335	C₂×C₄	—	79	2	no	—
1336	C₂×C₄	—	158	16	no	—
1337	C₂×C₄	—	158	16	no	—
1338	C₂×C₄	—	158	8	no	—
1339	C₂×C₄	—	158	2	no	—
1340	C₂×C₄	—	158	2	no	—
1341	C₂×C₄	—	158	2	no	—
1342	C₂×C₄	—	158	2	no	—
1343	C₂×C₄	—	158	4	no	—
1344	C₂×C₄	—	158	2	no	—
1345	C₂×C₄	—	158	8	no	—
1346	C₂×C₄	—	158	2	no	—
1347	C₂×C₄	—	158	8	no	—
1348	C₂×C₄	#41×D₇₉	1	4	yes	—
1349	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1350	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1351	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1352	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1353	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1354	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1355	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1356	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1357	C₂²	—	2	8	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	2	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	4	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	4	8	no	—
1368	C₂²	—	316	32	no	—
1369	C₂²	—	316	8	no	—
1370	C₂²	—	316	4	no	—
1371	C₂²	—	316	8	no	—
1372	C₂²	—	79	8	no	—
1373	C₂²	—	632	16	no	—
1374	C₂²	—	632	16	no	—
1375	C₂²	—	158	2	no	—
1376	C₂²	—	158	4	no	—
1377	C₂²	—	158	4	no	—
1378	C₂²	—	158	4	no	—
1379	C₂²	—	158	4	no	—
1380	C₂²	—	158	2	no	—
1381	C₂²	—	158	4	no	—
1382	C₂²	—	158	4	no	—
1383	C₂²	—	158	2	no	—
1384	C₂²	—	158	16	no	—
1385	C₂²	—	158	4	no	—
1386	C₂²	—	158	4	no	—
1387	C₂²	C₂×#41×D₇₉	1	2	yes	—
1388	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1389	C₂²	C₂×#14579207	1	4	yes	—
1390	C₂²	C₂×#14579207	1	2	yes	—
1391	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	4	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	4	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	4	no	—
1399	C₄	—	79	4	no	—
1400	C₄	—	158	2	no	—
1401	C₄	—	158	2	no	—
1402	C₄	—	158	2	no	—
1403	C₄	—	158	2	no	—
1404	C₄	—	158	2	no	—
1405	C₄	—	158	4	no	—
1406	C₄	—	158	2	no	—
1407	C₄	C₂×#41×D₇₉	1	4	yes	—
1408	C₂	—	2	4	no	—
1409	C₂	—	4	2	no	—
1410	C₂	—	4	4	no	—
1411	C₂	—	316	4	no	—
1412	C₂	—	316	2	no	—
1413	C₂	—	316	4	no	—
1414	C₂	—	158	8	no	—
1415	C₂	#23777428	1	4	yes	direct product factor
1416	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1417	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1418	C₂	C₂²×#14579207	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#553×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#553	D₇₉
hypocenter	C₇₉	C₂×#3519
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #23777428	C₂	direct (N × H)
2. C₂×#19099276	C₂	semidirect
3. C₂×#19099269	C₂	semidirect
4. C₂×#19099264	C₂	semidirect
5. C₂×#19099261	C₂	semidirect
6. C₂×#19099234	C₂	semidirect
7. C₂×#19099208	C₂	semidirect
8. C₂×#19099205	C₂	semidirect
9. C₂×#19099202	C₂	semidirect
10. C₂×D₄×D₃₁₆	C₂	semidirect
11. C₂×#19099197	C₂	semidirect
12. C₂×#19099197	C₂	semidirect
13. C₂×#19099169	C₂	semidirect
14. C₂×#19099166	C₂	semidirect
15. C₂×#19099152	C₂	semidirect
16. C₂×#19099149	C₂	semidirect
17. C₂×#19099108	C₂	semidirect
18. C₂×#19099093	C₂	semidirect
19. C₂×#19099072	C₂	semidirect
20. C₂×#121×D₇₉	C₂	semidirect
21. C₂×#19099037	C₂	semidirect
22. C₂×#19099035	C₂	semidirect
23. C₂²×#14579123	C₂	semidirect
24. C₂×#553×C₇₉	C₂	semidirect
25. C₂²×#11929624	C₂²	semidirect
26. C₂²×#11929623	C₂²	semidirect
30. C₂²×D₄×D₇₉	C₂²	semidirect
31. C₂²×D₄×D₇₉	C₂²	semidirect
32. C₂²×D₄×D₇₉	C₂²	semidirect
33. C₂³×C₄×D₇₉	C₂²	semidirect
34. #19099276	C₂²	semidirect
35. #19099269	C₂²	semidirect
36. #19099264	C₂²	semidirect
37. #19099261	C₂²	semidirect
38. #19099234	C₂²	semidirect
39. #19099208	C₂²	semidirect
40. #19099205	C₂²	semidirect
41. #19099202	C₂²	semidirect
42. D₄×D₃₁₆	C₂²	semidirect
43. #19099197	C₂²	semidirect
44. #19099197	C₂²	semidirect
45. #19099169	C₂²	semidirect
46. #19099166	C₂²	semidirect
47. #19099152	C₂²	semidirect
48. #19099149	C₂²	semidirect
49. #19099108	C₂²	semidirect
50. C₂×#14579160	C₂²	semidirect
51. C₂×#14579158	C₂²	semidirect
52. C₂×#14579157	C₂²	semidirect
53. C₂×#14579157	C₂²	semidirect
54. #19099093	C₂²	semidirect
55. C₂×#14579156	C₂²	semidirect
56. C₂×#14579156	C₂²	semidirect
57. C₂×#14579154	C₂²	semidirect
58. C₂×#14579152	C₂²	semidirect
59. C₂×#14579151	C₂²	semidirect
60. C₂×#14579149	C₂²	semidirect
61. C₂×#14579147	C₂²	semidirect
62. C₂×#14579147	C₂²	semidirect
63. C₂×#14579147	C₂²	semidirect
64. #19099072	C₂²	semidirect
65. C₂×#14579146	C₂²	semidirect
66. C₂×#14579146	C₂²	semidirect
67. C₂×#14579146	C₂²	semidirect
68. C₂×#14579145	C₂²	semidirect
69. C₂×#14579145	C₂²	semidirect
70. C₂×#14579143	C₂²	semidirect
71. C₂×#14579142	C₂²	semidirect
72. C₂×#14579141	C₂²	semidirect
73. C₂×#14579139	C₂²	semidirect
74. C₂×#14579139	C₂²	semidirect
75. C₂×#14579138	C₂²	semidirect
76. C₂×#14579136	C₂²	semidirect
77. C₂×#14579136	C₂²	semidirect
78. C₂×#14579136	C₂²	semidirect
79. C₂×#14579136	C₂²	semidirect
80. C₂×#14579136	C₂²	semidirect
81. C₂×#14579135	C₂²	semidirect
82. C₂×#14579135	C₂²	semidirect
83. C₂×#14579135	C₂²	semidirect
84. C₂×#14579135	C₂²	semidirect
85. C₂×#14579134	C₂²	semidirect
86. C₂×#14579134	C₂²	semidirect
87. C₂×#14579134	C₂²	semidirect
88. C₂×#14579134	C₂²	semidirect
89. C₂×#14579134	C₂²	semidirect
91. C₂×#14579133	C₂²	semidirect
92. C₂×#14579133	C₂²	semidirect
93. C₂×#14579132	C₂²	semidirect
94. #121×D₇₉	C₂²	semidirect
95. C₂×#14579131	C₂²	semidirect
96. C₂×#14579131	C₂²	semidirect
97. C₂×#14579131	C₂²	semidirect
98. C₂×#14579131	C₂²	semidirect
99. C₂×#14579129	C₂²	semidirect
100. C₂×#14579129	C₂²	semidirect
101. #19099037	C₂²	semidirect
102. #19099035	C₂²	semidirect
103. C₂×C₄×Dic₁₅₈	C₂²	semidirect
105. C₂×C₄×D₃₁₆	C₂²	semidirect
106. C₂×C₄×D₃₁₆	C₂²	semidirect
107. C₂×D₄×Dic₇₉	C₂²	semidirect
111. C₂×#14579123	C₂²	semidirect
112. C₂×#14579123	C₂²	semidirect
113. C₂×#14579123	C₂²	semidirect
114. C₂×#14579123	C₂²	semidirect
115. C₂×#14579123	C₂²	semidirect
116. C₂×#14579123	C₂²	semidirect
117. C₂×#14579123	C₂²	semidirect
118. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
119. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
122. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
123. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
124. C₂×#14579120	C₂²	semidirect
125. C₂×#14579119	C₂²	semidirect
126. C₂×#14579118	C₂²	semidirect
127. C₂×#14579118	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
129. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
130. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
134. C₂²×C₄×Dic₇₉	C₂²	semidirect
135. #553×C₇₉	C₂²	semidirect
136. C₂×#126×C₇₉	C₂²	semidirect
137. C₂×#125×C₇₉	C₂²	semidirect
138. C₂×#123×C₇₉	C₂²	semidirect
139. C₂×#121×C₇₉	C₂²	semidirect
140. C₂×#121×C₇₉	C₂²	semidirect
141. C₂×#121×C₇₉	C₂²	semidirect
142. C₂×C₄×D₄×C₇₉	C₂²	semidirect
143. C₂×C₄×D₄×C₇₉	C₂²	semidirect
144. C₂×C₄×D₄×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
151. C₂×#11929624	C₂³	semidirect
153. C₂×#11929623	C₂³	semidirect
183. C₂×D₄×D₇₉	C₂³	semidirect
184. C₂×D₄×D₇₉	C₂³	semidirect
185. C₂×D₄×D₇₉	C₂³	semidirect
199. C₂²×C₄×D₇₉	C₂³	semidirect
200. #14579160	C₂³	semidirect
201. #14579158	C₂³	semidirect
202. #14579157	C₂³	semidirect
203. #14579157	C₂³	semidirect
204. #14579156	C₂³	semidirect
205. #14579156	C₂³	semidirect
206. #14579154	C₂³	semidirect
207. #14579152	C₂³	semidirect
208. #14579151	C₂³	semidirect
209. #14579149	C₂³	semidirect
210. #14579147	C₂³	semidirect
211. #14579147	C₂³	semidirect
212. #14579147	C₂³	semidirect
213. #14579146	C₂³	semidirect
214. #14579146	C₂³	semidirect
215. #14579146	C₂³	semidirect
216. #14579145	C₂³	semidirect
217. #14579145	C₂³	semidirect
218. #14579143	C₂³	semidirect
219. #14579142	C₂³	semidirect
220. #14579141	C₂³	semidirect
221. #14579139	C₂³	semidirect
222. #14579139	C₂³	semidirect
223. #14579138	C₂³	semidirect
224. #14579136	C₂³	semidirect
225. #14579136	C₂³	semidirect
226. #14579136	C₂³	semidirect
227. #14579136	C₂³	semidirect
228. #14579136	C₂³	semidirect
229. #14579135	C₂³	semidirect
230. #14579135	C₂³	semidirect
231. #14579135	C₂³	semidirect
232. #14579135	C₂³	semidirect
233. #14579134	C₂³	semidirect
234. #14579134	C₂³	semidirect
235. #14579134	C₂³	semidirect
236. #14579134	C₂³	semidirect
237. #14579134	C₂³	semidirect
239. #14579133	C₂³	semidirect
240. #14579133	C₂³	semidirect
241. #14579132	C₂³	semidirect
242. #14579131	C₂³	semidirect
243. #14579131	C₂³	semidirect
244. #14579131	C₂³	semidirect
245. #14579131	C₂³	semidirect
246. #14579129	C₂³	semidirect
247. #14579129	C₂³	semidirect
248. C₄×Dic₁₅₈	C₂³	semidirect
250. C₄×D₃₁₆	C₂³	semidirect
251. C₄×D₃₁₆	C₂³	semidirect
252. D₄×Dic₇₉	C₂³	semidirect
256. #14579123	C₂³	semidirect
257. #14579123	C₂³	semidirect
258. #14579123	C₂³	semidirect
259. #14579123	C₂³	semidirect
260. #14579123	C₂³	semidirect
261. #14579123	C₂³	semidirect
262. C₄×C₂²⋊D₇₉	C₂³	semidirect
263. C₄×C₂²⋊D₇₉	C₂³	semidirect
264. C₄×C₂²⋊D₇₉	C₂³	semidirect
265. C₄×C₂²⋊D₇₉	C₂³	semidirect
266. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
267. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
268. #14579120	C₂³	semidirect
269. #14579119	C₂³	semidirect
270. #14579118	C₂³	semidirect
271. #14579118	C₂³	semidirect
285. C₄⋊C₄×D₇₉	C₂³	semidirect
308. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
309. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
310. C₂²⋊C₄×D₇₉	C₂³	semidirect
311. C₂²⋊C₄×D₇₉	C₂³	semidirect
312. C₂²⋊C₄×D₇₉	C₂³	semidirect
319. C₂×C₄×Dic₇₉	C₂³	semidirect
328. #126×C₇₉	C₂³	semidirect
329. #125×C₇₉	C₂³	semidirect
330. #123×C₇₉	C₂³	semidirect
331. #121×C₇₉	C₂³	semidirect
332. #121×C₇₉	C₂³	semidirect
333. #121×C₇₉	C₂³	semidirect
334. C₄×D₄×C₇₉	C₂³	semidirect
335. C₄×D₄×C₇₉	C₂³	semidirect
336. C₄×D₄×C₇₉	C₂³	semidirect
337. #117×C₇₉	C₂³	semidirect
345. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
386. C₂×D₃₁₆	#41	semidirect
635. D₃₁₆	C₂×#41	semidirect
702. C₂×C₇₉	#3519	semidirect
715. C₂×#553	D₇₉	semidirect
734. C₇₉	C₂×#3519	semidirect
748. #553	C₂×D₇₉	semidirect
769. C₂×#126	C₂×D₇₉	semidirect
772. C₂×#125	C₂×D₇₉	semidirect
785. C₂×#123	C₂×D₇₉	semidirect
809. C₂×#121	C₂×D₇₉	semidirect
810. C₂×#121	C₂×D₇₉	semidirect
811. C₂×#121	C₂×D₇₉	semidirect
841. C₂×C₄×D₄	C₂×D₇₉	semidirect
842. C₂×C₄×D₄	C₂×D₇₉	semidirect
843. C₂×C₄×D₄	C₂×D₇₉	semidirect
848. C₂×#117	C₂×D₇₉	semidirect
850. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
925. #126	C₂²×D₇₉	semidirect
928. #125	C₂²×D₇₉	semidirect
940. #123	C₂²×D₇₉	semidirect
963. #121	C₂²×D₇₉	semidirect
964. #121	C₂²×D₇₉	semidirect
965. #121	C₂²×D₇₉	semidirect
992. C₄×D₄	C₂²×D₇₉	semidirect
993. C₄×D₄	C₂²×D₇₉	semidirect
994. C₄×D₄	C₂²×D₇₉	semidirect
999. #117	C₂²×D₇₉	semidirect
1021. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1415. C₂	#23777428	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777428	2
C₂×#19099276	2
C₂×#19099269	2
C₂×#19099264	2
C₂×#19099261	2
C₂×#19099234	2
C₂×#19099208	2
C₂×#19099205	2
C₂×#19099202	2
C₂×D₄×D₃₁₆	2
C₂×#19099197	2
C₂×#19099169	2
C₂×#19099166	2
C₂×#19099152	2
C₂×#19099149	2
C₂×#19099108	2
C₂×#19099093	2
C₂×#19099072	2
C₂×#121×D₇₉	2
C₂×#19099037	2
C₂×#19099035	2
C₂²×#14579123	2
C₂×#553×C₇₉	2
C₂×#3519	79

Subgroups — C2×#23777428 #35196263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777428 #35196263