Subgroups — C₂×#23777636 #35195505

Order 20224.

8890 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777636	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099304	C₂	1	2	yes	maximal, complemented
3	C₂×#19099303	C₂	1	2	yes	maximal, complemented
4	C₂×#19099266	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099261	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099257	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×D₄×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×D₄×D₃₁₆	C₂	1	2	yes	maximal, complemented
9	C₂×D₄×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099197	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099197	C₂	1	2	yes	maximal, complemented
12	C₂×#19099197	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099169	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099164	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099152	C₂	1	2	yes	maximal, complemented
16	C₂×#19099146	C₂	1	2	yes	maximal, complemented
17	C₂×#19099132	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099129	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099124	C₂	1	2	yes	maximal, complemented
20	C₂×#19099121	C₂	1	2	yes	maximal, complemented
21	C₂×#19099072	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#14579136	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#121×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
26	C₂³×D₃₁₆	C₂²	1	2	yes	complemented
27	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₃₁₆	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
32	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
34	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
35	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
37	#19099304	C₂²	1	32	yes	complemented
38	#19099303	C₂²	1	32	yes	complemented
39	#19099266	C₂²	1	16	yes	complemented
40	#19099261	C₂²	1	16	yes	complemented
41	#19099257	C₂²	1	16	yes	complemented
42	D₄×D₃₁₆	C₂²	1	32	yes	complemented
43	D₄×D₃₁₆	C₂²	1	16	yes	complemented
44	D₄×D₃₁₆	C₂²	1	16	yes	complemented
45	#19099197	C₂²	1	16	yes	complemented
46	#19099197	C₂²	1	32	yes	complemented
47	#19099197	C₂²	1	16	yes	complemented
48	#19099169	C₂²	1	16	yes	complemented
49	#19099164	C₂²	1	16	yes	complemented
50	#19099152	C₂²	1	32	yes	complemented
51	#19099146	C₂²	1	32	yes	complemented
52	#19099132	C₂²	1	16	yes	complemented
53	#19099129	C₂²	1	16	yes	complemented
54	#19099124	C₂²	1	32	yes	complemented
55	#19099121	C₂²	1	32	yes	complemented
56	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14579158	C₂²	1	2	yes	complemented
58	C₂×#14579157	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14579157	C₂²	1	2	yes	complemented
60	C₂×#14579156	C₂²	1	2	yes	complemented
61	C₂×#14579156	C₂²	1	2	yes	complemented
62	C₂×#14579155	C₂²	1	2	yes	complemented
63	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14579149	C₂²	1	2	yes	complemented
65	C₂×#14579147	C₂²	1	2	yes	complemented
66	#19099072	C₂²	1	16	yes	complemented
67	C₂×#14579146	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14579146	C₂²	1	2	yes	complemented
69	C₂×#14579146	C₂²	1	2	yes	complemented
70	C₂×#14579146	C₂²	1	2	yes	complemented
71	C₂×#14579146	C₂²	1	2	yes	complemented
72	C₂×#14579144	C₂²	1	2	yes	complemented
73	C₂×#14579143	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579143	C₂²	1	2	yes	complemented
75	C₂×#14579143	C₂²	1	2	yes	complemented
76	C₂×#14579139	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14579138	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14579136	C₂²	1	2	yes	complemented
81	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14579136	C₂²	1	2	yes	complemented
84	C₂×#14579136	C₂²	1	2	yes	complemented
85	C₂×#14579136	C₂²	1	2	yes	complemented
86	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14579136	C₂²	1	2	yes	complemented
88	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14579136	C₂²	1	2	yes	complemented
91	C₂×#14579136	C₂²	1	16	yes	complemented
92	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14579135	C₂²	1	2	yes	complemented
95	C₂×#14579135	C₂²	1	2	yes	complemented
96	C₂×#14579135	C₂²	1	2	yes	complemented
97	C₂×#14579134	C₂²	1	2	yes	complemented
98	C₂×#14579134	C₂²	1	2	yes	complemented
99	C₂×#14579134	C₂²	1	2	yes	complemented
100	C₂×#14579134	C₂²	1	2	yes	complemented
101	C₂×#14579134	C₂²	1	2	yes	complemented
102	C₂×#14579134	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14579133	C₂²	1	2	yes	complemented
104	C₂×#14579133	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
106	#121×D₇₉	C₂²	1	16	yes	complemented
107	C₂×#14579131	C₂²	1	2	yes	complemented
108	C₂×#14579131	C₂²	1	2	yes	complemented
109	C₂×#14579131	C₂²	1	2	yes	complemented
110	C₂×#14579131	C₂²	1	2	yes	complemented
111	C₂×#14579131	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14579131	C₂²	1	2	yes	complemented
113	C₂×#14579131	C₂²	1	2	yes	complemented
114	C₂×#14579131	C₂²	1	2	yes	complemented
115	C₂×#14579131	C₂²	1	2	yes	complemented
116	C₂×#14579131	C₂²	1	2	yes	complemented
117	C₂×#14579129	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14579129	C₂²	1	2	yes	complemented
119	C₂×#14579129	C₂²	1	2	yes	complemented
120	C₂×#14579129	C₂²	1	2	yes	complemented
121	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
123	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14579123	C₂²	1	2	yes	complemented
127	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
130	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
133	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	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	2	yes	complemented
141	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic
148	C₂⁴×D₇₉	C₂³	1	2	yes	—
149	C₂⁴×D₇₉	C₂³	1	2	yes	—
150	C₂⁴×D₇₉	C₂³	1	2	yes	—
151	C₂⁴×D₇₉	C₂³	1	2	yes	—
152	C₂×#11929624	—	4	4	no	—
153	C₂×#11929624	C₂³	1	8	yes	complemented
154	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
155	C₂²×D₃₁₆	—	4	8	no	—
156	C₂²×D₃₁₆	—	4	8	no	—
157	C₂²×D₃₁₆	—	4	4	no	—
158	C₂²×D₃₁₆	—	4	4	no	—
159	C₂²×D₃₁₆	C₂³	1	2	yes	—
160	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
165	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
166	C₂²×D₃₁₆	C₂³	1	2	yes	—
167	C₂²×D₃₁₆	C₂³	1	2	yes	—
168	C₂²×D₃₁₆	C₂³	1	2	yes	—
169	C₂²×D₃₁₆	C₂³	1	2	yes	—
170	C₂²×D₃₁₆	C₂³	1	2	yes	—
171	C₂²×D₃₁₆	C₂³	1	2	yes	—
172	C₂²×D₃₁₆	C₂³	1	2	yes	—
173	C₂²×D₃₁₆	C₂³	1	2	yes	—
174	C₂²×D₃₁₆	C₂³	1	2	yes	—
175	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
176	C₂²×D₃₁₆	C₂³	1	16	yes	complemented
177	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
178	C₂²×D₃₁₆	C₂³	1	16	yes	complemented
179	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
180	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
181	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
183	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
184	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
185	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
186	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
187	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
188	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
189	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
190	C₂×D₄×D₇₉	—	4	4	no	—
191	C₂×D₄×D₇₉	—	4	4	no	—
192	C₂×D₄×D₇₉	—	4	8	no	—
193	C₂×D₄×D₇₉	—	4	8	no	—
194	C₂×D₄×D₇₉	—	4	8	no	—
195	C₂×D₄×D₇₉	—	4	8	no	—
196	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
197	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
198	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
199	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
200	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
201	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
202	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₉	—	4	4	no	—
204	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
209	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
210	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
211	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
212	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
214	#14579158	C₂³	1	8	yes	complemented
215	#14579158	C₂³	1	16	yes	complemented
216	#14579157	C₂³	1	8	yes	complemented
217	#14579157	C₂³	1	16	yes	complemented
218	#14579156	C₂³	1	16	yes	complemented
219	#14579156	C₂³	1	16	yes	complemented
220	#14579155	C₂³	1	16	yes	complemented
221	#14579152	C₂³	1	8	yes	complemented
222	#14579149	C₂³	1	16	yes	complemented
223	#14579147	C₂³	1	16	yes	complemented
224	#14579146	C₂³	1	16	yes	complemented
225	#14579146	C₂³	1	16	yes	complemented
226	#14579146	C₂³	1	16	yes	complemented
227	#14579146	C₂³	1	16	yes	complemented
228	#14579146	C₂³	1	8	yes	complemented
229	#14579144	C₂³	1	16	yes	complemented
230	#14579143	C₂³	1	16	yes	complemented
231	#14579143	C₂³	1	16	yes	complemented
232	#14579143	C₂³	1	8	yes	complemented
233	#14579139	C₂³	1	8	yes	complemented
234	#14579138	C₂³	1	8	yes	complemented
235	#14579136	C₂³	1	16	yes	complemented
236	#14579136	C₂³	1	16	yes	complemented
237	#14579136	C₂³	1	8	yes	complemented
238	#14579136	C₂³	1	16	yes	complemented
239	#14579136	C₂³	1	16	yes	complemented
240	#14579136	C₂³	1	8	yes	complemented
241	#14579136	C₂³	1	8	yes	complemented
242	#14579136	C₂³	1	8	yes	complemented
243	#14579136	C₂³	1	8	yes	complemented
244	#14579136	C₂³	1	8	yes	complemented
245	#14579136	C₂³	1	8	yes	complemented
246	#14579136	C₂³	1	16	yes	complemented
247	#14579136	C₂³	1	16	yes	complemented
248	#14579135	C₂³	1	16	yes	complemented
249	#14579135	C₂³	1	16	yes	complemented
250	#14579135	C₂³	1	8	yes	complemented
251	#14579135	C₂³	1	8	yes	complemented
252	#14579135	C₂³	1	16	yes	complemented
253	#14579134	C₂³	1	16	yes	complemented
254	#14579134	C₂³	1	16	yes	complemented
255	#14579134	C₂³	1	16	yes	complemented
256	#14579134	C₂³	1	16	yes	complemented
257	#14579134	C₂³	1	16	yes	complemented
258	#14579134	C₂³	1	8	yes	complemented
259	#14579133	C₂³	1	16	yes	complemented
260	#14579133	C₂³	1	8	yes	complemented
261	#14579132	C₂³	1	8	yes	complemented
262	#14579131	C₂³	1	16	yes	complemented
263	#14579131	C₂³	1	16	yes	complemented
264	#14579131	C₂³	1	16	yes	complemented
265	#14579131	C₂³	1	16	yes	complemented
266	#14579131	C₂³	1	16	yes	complemented
267	#14579131	C₂³	1	8	yes	complemented
268	#14579131	C₂³	1	16	yes	complemented
269	#14579131	C₂³	1	16	yes	complemented
270	#14579131	C₂³	1	16	yes	complemented
271	#14579131	C₂³	1	16	yes	complemented
272	#14579129	C₂³	1	16	yes	complemented
273	#14579129	C₂³	1	8	yes	complemented
274	#14579129	C₂³	1	16	yes	complemented
275	#14579129	C₂³	1	16	yes	complemented
276	C₄×D₃₁₆	C₂³	1	16	yes	complemented
277	C₄×D₃₁₆	C₂³	1	8	yes	complemented
278	C₄×D₃₁₆	C₂³	1	8	yes	complemented
279	#14579123	C₂³	1	16	yes	complemented
280	#14579123	C₂³	1	8	yes	complemented
281	#14579123	C₂³	1	8	yes	complemented
282	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
283	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
284	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
285	#14579119	C₂³	1	8	yes	complemented
286	#14579118	C₂³	1	8	yes	complemented
287	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
290	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
291	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
296	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
297	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
298	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
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	2	yes	—
309	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
312	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
314	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
315	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
316	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
318	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
319	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
320	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
321	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
323	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
325	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
327	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
330	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
331	#126×C₇₉	C₂³	1	16	yes	complemented
332	#125×C₇₉	C₂³	1	8	yes	complemented
333	#123×C₇₉	C₂³	1	16	yes	complemented
334	#121×C₇₉	C₂³	1	8	yes	complemented
335	#121×C₇₉	C₂³	1	16	yes	complemented
336	#121×C₇₉	C₂³	1	8	yes	complemented
337	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
338	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
339	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
340	#117×C₇₉	C₂³	1	8	yes	complemented
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
346	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
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×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
355	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
356	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
357	C₂³×D₇₉	—	2	4	no	—
358	C₂³×D₇₉	—	2	8	no	—
359	C₂³×D₇₉	—	2	4	no	—
360	C₂³×D₇₉	—	2	8	no	—
361	C₂³×D₇₉	—	4	2	no	—
362	C₂³×D₇₉	—	4	4	no	—
363	C₂³×D₇₉	—	4	4	no	—
364	C₂³×D₇₉	—	4	4	no	—
365	C₂³×D₇₉	—	4	4	no	—
366	C₂³×D₇₉	—	4	4	no	—
367	C₂³×D₇₉	—	4	4	no	—
368	C₂³×D₇₉	—	4	4	no	—
369	C₂³×D₇₉	—	4	4	no	—
370	C₂³×D₇₉	—	4	4	no	—
371	C₂³×D₇₉	—	4	4	no	—
372	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
373	C₂³×D₇₉	C₂⁴	1	2	yes	—
374	C₂³×D₇₉	C₂⁴	1	2	yes	—
375	C₂³×D₇₉	C₂⁴	1	2	yes	—
376	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
377	C₂³×D₇₉	C₂⁴	1	4	yes	—
378	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
379	C₂³×D₇₉	C₂⁴	1	8	yes	—
380	C₂³×D₇₉	C₂⁴	1	8	yes	—
381	C₂³×D₇₉	C₂⁴	1	8	yes	—
382	C₂³×D₇₉	C₂⁴	1	8	yes	—
383	#11929624	—	4	16	no	—
384	C₂×Dic₁₅₈	—	4	2	no	—
385	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
386	C₂×D₃₁₆	—	2	8	no	—
387	C₂×D₃₁₆	—	2	8	no	—
388	C₂×D₃₁₆	—	2	4	no	—
389	C₂×D₃₁₆	—	2	4	no	—
390	C₂×D₃₁₆	—	2	4	no	—
391	C₂×D₃₁₆	—	2	4	no	—
392	C₂×D₃₁₆	—	4	2	no	—
393	C₂×D₃₁₆	—	4	4	no	—
394	C₂×D₃₁₆	—	4	4	no	—
395	C₂×D₃₁₆	—	4	4	no	—
396	C₂×D₃₁₆	—	4	4	no	—
397	C₂×D₃₁₆	—	4	4	no	—
398	C₂×D₃₁₆	—	4	4	no	—
399	C₂×D₃₁₆	—	4	4	no	—
400	C₂×D₃₁₆	—	4	4	no	—
401	C₂×D₃₁₆	—	4	4	no	—
402	C₂×D₃₁₆	—	4	16	no	—
403	C₂×D₃₁₆	—	4	16	no	—
404	C₂×D₃₁₆	—	4	32	no	—
405	C₂×D₃₁₆	—	4	32	no	—
406	C₂×D₃₁₆	C₂⁴	1	8	yes	—
407	C₂×D₃₁₆	C₂⁴	1	4	yes	—
408	C₂×D₃₁₆	C₂⁴	1	4	yes	—
409	C₂×D₃₁₆	C₂⁴	1	8	yes	—
410	C₂×D₃₁₆	C₂⁴	1	4	yes	—
411	C₂×D₃₁₆	C₂⁴	1	4	yes	—
412	C₂×D₃₁₆	C₂⁴	1	4	yes	—
413	C₂×D₃₁₆	C₂⁴	1	8	yes	—
414	C₂×D₃₁₆	C₂⁴	1	8	yes	—
415	C₂×D₃₁₆	C₂⁴	1	8	yes	—
416	C₂×D₃₁₆	C₂⁴	1	8	yes	—
417	C₂×D₃₁₆	C₂⁴	1	8	yes	—
418	C₂×D₃₁₆	C₂⁴	1	8	yes	—
419	C₂×D₃₁₆	C₂⁴	1	8	yes	—
420	C₂×D₃₁₆	C₂⁴	1	8	yes	—
421	C₂×D₃₁₆	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₇₉	—	2	8	no	—
423	C₂×C₂²⋊D₇₉	—	2	4	no	—
424	C₂×C₂²⋊D₇₉	—	2	4	no	—
425	C₂×C₂²⋊D₇₉	—	4	2	no	—
426	C₂×C₂²⋊D₇₉	—	4	2	no	—
427	C₂×C₂²⋊D₇₉	—	4	4	no	—
428	C₂×C₂²⋊D₇₉	—	4	4	no	—
429	C₂×C₂²⋊D₇₉	—	4	4	no	—
430	C₂×C₂²⋊D₇₉	—	4	4	no	—
431	C₂×C₂²⋊D₇₉	—	4	4	no	—
432	C₂×C₂²⋊D₇₉	—	4	4	no	—
433	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
434	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
436	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
437	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
438	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
441	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
442	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
443	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
444	D₄×D₇₉	—	4	32	no	—
445	D₄×D₇₉	—	4	32	no	—
446	D₄×D₇₉	—	4	32	no	—
447	D₄×D₇₉	—	4	32	no	—
448	D₄×D₇₉	—	4	16	no	—
449	D₄×D₇₉	—	4	16	no	—
450	C₂²×Dic₇₉	—	4	2	no	—
451	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
456	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
458	C₂×C₄×D₇₉	—	2	4	no	—
459	C₂×C₄×D₇₉	—	2	4	no	—
460	C₂×C₄×D₇₉	—	2	4	no	—
461	C₂×C₄×D₇₉	—	4	2	no	—
462	C₂×C₄×D₇₉	—	4	2	no	—
463	C₂×C₄×D₇₉	—	4	4	no	—
464	C₂×C₄×D₇₉	—	4	4	no	—
465	C₂×C₄×D₇₉	—	4	4	no	—
466	C₂×C₄×D₇₉	—	4	4	no	—
467	C₂×C₄×D₇₉	—	4	16	no	—
468	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
469	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
470	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
471	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
472	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
473	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
474	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
475	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
476	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
477	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
478	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
479	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
480	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
481	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
482	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
483	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
484	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
485	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
487	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
488	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
489	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
490	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
491	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
492	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
493	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
494	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
495	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
496	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
497	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
498	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
499	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
500	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
501	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
502	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
503	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
506	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
508	C₄×Dic₇₉	C₂⁴	1	4	yes	—
509	C₄×Dic₇₉	C₂⁴	1	8	yes	—
510	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
512	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₇₉	—	2	4	no	—
514	C₂×D₄×C₇₉	—	2	8	no	—
515	C₂×D₄×C₇₉	—	2	4	no	—
516	C₂×D₄×C₇₉	—	4	4	no	—
517	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
518	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
520	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
521	C₂²×C₄×C₇₉	—	2	4	no	—
522	C₂²×C₄×C₇₉	—	2	4	no	—
523	C₂²×C₄×C₇₉	—	4	4	no	—
524	C₂²×C₄×C₇₉	—	4	4	no	—
525	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
527	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
530	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
533	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
534	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
535	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
536	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
537	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
538	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
539	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
540	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
541	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
542	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
543	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
545	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
546	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
547	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
548	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
549	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
550	C₄²×C₇₉	C₂⁴	1	8	yes	—
551	C₄²×C₇₉	C₂⁴	1	4	yes	—
552	C₂³×C₇₉	—	2	2	no	—
553	C₂³×C₇₉	—	2	2	no	—
554	C₂³×C₇₉	—	2	2	no	—
555	C₂³×C₇₉	—	2	2	no	—
556	C₂³×C₇₉	—	2	4	no	—
557	C₂³×C₇₉	—	2	2	no	—
558	C₂³×C₇₉	—	2	4	no	—
559	C₂³×C₇₉	—	2	4	no	—
560	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
561	C₂³×C₇₉	C₂⁵	1	2	yes	—
562	C₂³×C₇₉	C₂⁵	1	4	yes	—
563	C₂³×C₇₉	C₂⁵	1	2	yes	—
564	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
565	C₂²×D₇₉	—	2	2	no	—
566	C₂²×D₇₉	—	2	2	no	—
567	C₂²×D₇₉	—	2	2	no	—
568	C₂²×D₇₉	—	2	2	no	—
569	C₂²×D₇₉	—	2	4	no	—
570	C₂²×D₇₉	—	2	4	no	—
571	C₂²×D₇₉	—	2	4	no	—
572	C₂²×D₇₉	—	2	8	no	—
573	C₂²×D₇₉	—	2	2	no	—
574	C₂²×D₇₉	—	2	4	no	—
575	C₂²×D₇₉	—	2	2	no	—
576	C₂²×D₇₉	—	2	4	no	—
577	C₂²×D₇₉	—	2	4	no	—
578	C₂²×D₇₉	—	2	4	no	—
579	C₂²×D₇₉	—	2	2	no	—
580	C₂²×D₇₉	—	2	4	no	—
581	C₂²×D₇₉	—	2	4	no	—
582	C₂²×D₇₉	—	2	2	no	—
583	C₂²×D₇₉	—	2	16	no	—
584	C₂²×D₇₉	—	2	8	no	—
585	C₂²×D₇₉	—	2	16	no	—
586	C₂²×D₇₉	—	4	4	no	—
587	C₂²×D₇₉	—	4	8	no	—
588	C₂²×D₇₉	—	4	8	no	—
589	C₂²×D₇₉	—	4	8	no	—
590	C₂²×D₇₉	—	4	8	no	—
591	C₂²×D₇₉	—	4	8	no	—
592	C₂²×D₇₉	—	4	8	no	—
593	C₂²×D₇₉	—	4	8	no	—
594	C₂²×D₇₉	—	4	8	no	—
595	C₂²×D₇₉	—	4	8	no	—
596	C₂²×D₇₉	—	4	8	no	—
597	C₂²×D₇₉	—	4	16	no	—
598	C₂²×D₇₉	—	8	16	no	—
599	C₂²×D₇₉	—	8	16	no	—
600	C₂²×D₇₉	—	8	16	no	—
601	C₂²×D₇₉	—	8	16	no	—
602	C₂²×D₇₉	H(5,𝔽₂)	1	4	yes	—
603	C₂²×D₇₉	C₂⁵	1	2	yes	—
604	C₂²×D₇₉	C₂⁵	1	4	yes	—
605	C₂²×D₇₉	C₂⁵	1	4	yes	—
606	C₂²×D₇₉	C₂⁵	1	4	yes	—
607	C₂²×D₇₉	C₂⁵	1	2	yes	—
608	C₂²×D₇₉	C₂⁵	1	2	yes	—
609	D₄×C₇₉	—	2	16	no	—
610	D₄×C₇₉	—	2	8	no	—
611	D₄×C₇₉	—	2	8	no	—
612	D₄×C₇₉	—	4	8	no	—
613	C₂×C₄×C₇₉	—	2	2	no	—
614	C₂×C₄×C₇₉	—	2	4	no	—
615	C₂×C₄×C₇₉	—	2	2	no	—
616	C₂×C₄×C₇₉	—	2	4	no	—
617	C₂×C₄×C₇₉	—	2	2	no	—
618	C₂×C₄×C₇₉	—	2	4	no	—
619	C₂×C₄×C₇₉	—	2	2	no	—
620	C₂×C₄×C₇₉	—	2	8	no	—
621	C₂×C₄×C₇₉	—	2	8	no	—
622	C₂×C₄×C₇₉	—	4	8	no	—
623	C₂×C₄×C₇₉	—	4	8	no	—
624	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
625	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
626	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
627	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
628	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
629	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
630	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
631	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
632	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
633	C₂²⋊D₇₉	—	2	16	no	—
634	C₂²⋊D₇₉	—	2	8	no	—
635	C₂²⋊D₇₉	—	2	8	no	—
636	C₂²⋊D₇₉	—	4	8	no	—
637	C₂²⋊D₇₉	—	4	8	no	—
638	C₂²⋊D₇₉	—	4	8	no	—
639	C₂²⋊D₇₉	—	4	8	no	—
640	C₂²⋊D₇₉	—	4	8	no	—
641	C₂²⋊D₇₉	—	4	8	no	—
642	C₂²⋊D₇₉	—	4	4	no	—
643	C₂²⋊D₇₉	—	4	4	no	—
644	C₂×Dic₇₉	—	2	2	no	—
645	C₂×Dic₇₉	—	2	2	no	—
646	C₂×Dic₇₉	—	2	2	no	—
647	C₂×Dic₇₉	—	2	2	no	—
648	C₂×Dic₇₉	—	2	4	no	—
649	C₂×Dic₇₉	—	2	2	no	—
650	C₂×Dic₇₉	—	4	4	no	—
651	C₂×Dic₇₉	C₂⁵	1	2	yes	—
652	C₂×Dic₇₉	C₂⁵	1	2	yes	—
653	C₂×Dic₇₉	C₂⁵	1	2	yes	—
654	C₂×Dic₇₉	C₂⁵	1	4	yes	—
655	C₂×Dic₇₉	C₂⁵	1	2	yes	—
656	C₂×Dic₇₉	C₂⁵	1	2	yes	—
657	D₃₁₆	—	2	16	no	—
658	D₃₁₆	—	2	16	no	—
659	D₃₁₆	—	2	8	no	—
660	D₃₁₆	—	2	8	no	—
661	D₃₁₆	—	2	8	no	—
662	D₃₁₆	—	2	8	no	—
663	D₃₁₆	—	4	8	no	—
664	D₃₁₆	—	4	8	no	—
665	D₃₁₆	—	4	8	no	—
666	D₃₁₆	—	4	8	no	—
667	D₃₁₆	—	4	8	no	—
668	D₃₁₆	—	4	8	no	—
669	D₃₁₆	—	4	8	no	—
670	D₃₁₆	—	4	8	no	—
671	D₃₁₆	—	4	8	no	—
672	D₃₁₆	—	4	4	no	—
673	C₄×D₇₉	—	2	8	no	—
674	C₄×D₇₉	—	2	8	no	—
675	C₄×D₇₉	—	2	8	no	—
676	C₄×D₇₉	—	4	4	no	—
677	C₄×D₇₉	—	4	4	no	—
678	C₄×D₇₉	—	4	8	no	—
679	C₄×D₇₉	—	4	8	no	—
680	C₄×D₇₉	—	4	8	no	—
681	C₄×D₇₉	—	4	8	no	—
682	Dic₁₅₈	—	4	4	no	—
683	C₂²×C₇₉	—	2	2	no	—
684	C₂²×C₇₉	—	2	2	no	—
685	C₂²×C₇₉	—	2	8	no	—
686	C₂²×C₇₉	—	2	2	no	—
687	C₂²×C₇₉	—	2	2	no	—
688	C₂²×C₇₉	—	2	4	no	—
689	C₂²×C₇₉	—	2	2	no	—
690	C₂²×C₇₉	—	2	4	no	—
691	C₂²×C₇₉	—	2	4	no	—
692	C₂²×C₇₉	—	4	8	no	—
693	C₂²×C₇₉	—	4	4	no	—
694	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
695	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
696	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
697	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
698	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
699	C₂×D₇₉	—	2	2	no	—
700	C₂×D₇₉	—	2	2	no	—
701	C₂×D₇₉	—	2	8	no	—
702	C₂×D₇₉	—	2	2	no	—
703	C₂×D₇₉	—	2	4	no	—
704	C₂×D₇₉	—	2	2	no	—
705	C₂×D₇₉	—	2	4	no	—
706	C₂×D₇₉	—	2	4	no	—
707	C₂×D₇₉	—	2	2	no	—
708	C₂×D₇₉	—	2	4	no	—
709	C₂×D₇₉	—	2	4	no	—
710	C₂×D₇₉	—	2	4	no	—
711	C₂×D₇₉	—	2	2	no	—
712	C₂×D₇₉	—	2	4	no	—
713	C₂×D₇₉	—	2	2	no	—
714	C₂×D₇₉	—	2	2	no	—
715	C₂×D₇₉	—	2	4	no	—
716	C₂×D₇₉	—	2	4	no	—
717	C₂×D₇₉	—	4	16	no	—
718	C₂×D₇₉	—	4	4	no	—
719	C₂×D₇₉	—	4	4	no	—
720	C₂×D₇₉	—	4	8	no	—
721	C₂×D₇₉	—	4	8	no	—
722	C₂×D₇₉	—	4	8	no	—
723	C₂×D₇₉	—	8	16	no	—
724	C₂×D₇₉	—	8	16	no	—
725	C₂×D₇₉	—	8	16	no	—
726	C₂×D₇₉	—	8	16	no	—
727	C₂×D₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
728	C₄×C₇₉	—	2	2	no	—
729	C₄×C₇₉	—	2	2	no	—
730	C₄×C₇₉	—	2	2	no	—
731	C₄×C₇₉	—	2	4	no	—
732	C₄×C₇₉	—	2	4	no	—
733	C₄×C₇₉	—	2	4	no	—
734	C₄×C₇₉	—	2	2	no	—
735	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
736	Dic₇₉	—	2	2	no	—
737	Dic₇₉	—	2	4	no	—
738	Dic₇₉	—	2	2	no	—
739	Dic₇₉	—	2	2	no	—
740	Dic₇₉	—	2	2	no	—
741	Dic₇₉	—	2	2	no	—
742	C₂×#3537	—	79	1	no	maximal, Sylow
743	C₂×C₇₉	—	2	4	no	—
744	C₂×C₇₉	—	4	4	no	—
745	C₂×C₇₉	—	4	2	no	—
746	C₂×C₇₉	#3537	1	4	yes	complemented
747	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
748	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
749	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
750	D₇₉	—	2	4	no	—
751	D₇₉	—	4	2	no	—
752	D₇₉	—	4	2	no	—
753	D₇₉	—	4	4	no	—
754	D₇₉	—	4	4	no	—
755	D₇₉	—	4	4	no	—
756	#3537	—	79	32	no	—
757	C₂×#560	—	79	2	no	—
758	C₂×#560	—	79	2	no	—
759	C₂×#553	—	79	1	no	—
760	C₂×#553	—	79	1	no	—
761	C₂×#553	—	79	1	no	—
762	C₂×#553	D₇₉	1	1	yes	characteristic, complemented
763	C₂×D₄²	—	79	1	no	—
764	C₂×D₄²	—	79	1	no	—
765	C₂×D₄²	—	79	2	no	—
766	C₂×D₄²	—	79	1	no	—
767	C₂×D₄²	—	79	2	no	—
768	C₂×D₄²	—	79	1	no	—
769	C₂×#540	—	79	1	no	—
770	C₂×#540	—	79	1	no	—
771	C₂×#538	—	79	2	no	—
772	C₂×#538	—	79	2	no	—
773	C₂×#535	—	79	1	no	—
774	C₂×#535	—	79	1	no	—
775	C₂×#534	—	79	2	no	—
776	C₂×#534	—	79	2	no	—
777	C₂×#525	—	79	1	no	—
778	C₂²×#121	—	79	1	no	—
779	C₂²×#121	—	79	1	no	—
780	C₇₉	C₂×#3537	1	1	yes	characteristic, complemented, Sylow
781	C₂²×#41	—	79	1	no	—
782	C₂³×D₄	—	79	2	no	—
783	C₂³×D₄	—	79	1	no	—
784	C₂³×D₄	—	79	2	no	—
785	C₂³×D₄	—	79	2	no	—
786	C₂³×D₄	—	79	2	no	—
787	C₂³×D₄	—	79	1	no	—
788	C₂³×D₄	—	79	1	no	—
789	C₂³×D₄	—	79	2	no	—
790	C₂³×D₄	—	79	2	no	—
791	C₂³×D₄	—	79	1	no	—
792	C₂⁴×C₄	—	79	1	no	—
793	#560	—	79	32	no	—
794	#560	—	79	32	no	—
795	#553	—	79	16	no	—
796	#553	—	79	16	no	—
797	#553	—	79	16	no	—
798	#553	C₂×D₇₉	1	16	yes	complemented
799	D₄²	—	79	16	no	—
800	D₄²	—	79	16	no	—
801	D₄²	—	79	32	no	—
802	D₄²	—	79	16	no	—
803	D₄²	—	79	32	no	—
804	D₄²	—	79	16	no	—
805	#540	—	79	16	no	—
806	#540	—	79	16	no	—
807	#538	—	79	32	no	—
808	#538	—	79	32	no	—
809	#535	—	79	16	no	—
810	#535	—	79	16	no	—
811	#534	—	79	32	no	—
812	#534	—	79	32	no	—
813	C₂×#127	—	79	2	no	—
814	C₂×#127	—	79	1	no	—
815	C₂×#127	—	79	2	no	—
816	C₂×#127	—	79	1	no	—
817	C₂×#126	—	79	2	no	—
818	C₂×#126	—	79	2	no	—
819	C₂×#126	—	79	2	no	—
820	C₂×#126	C₂×D₇₉	1	2	yes	complemented
821	C₂×#125	—	79	1	no	—
822	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
823	C₂×#124	—	79	2	no	—
824	C₂×#124	—	79	2	no	—
825	#525	—	79	16	no	—
826	C₂×#123	—	79	2	no	—
827	C₂×#123	—	79	1	no	—
828	C₂×#123	—	79	2	no	—
829	C₂×#123	—	79	2	no	—
830	C₂×#123	—	79	2	no	—
831	C₂×#123	—	79	2	no	—
832	C₂×#123	—	79	1	no	—
833	C₂×#123	—	79	2	no	—
834	C₂×#123	—	79	2	no	—
835	C₂×#123	C₂×D₇₉	1	2	yes	complemented
836	C₂×C₂²⋊Q₈	—	79	1	no	—
837	C₂×C₂²⋊Q₈	—	79	1	no	—
838	C₂×#121	—	79	2	no	—
839	C₂×#121	—	79	1	no	—
840	C₂×#121	—	79	1	no	—
841	C₂×#121	—	79	1	no	—
842	C₂×#121	—	79	2	no	—
843	C₂×#121	—	79	1	no	—
844	C₂×#121	—	79	2	no	—
845	C₂×#121	—	79	2	no	—
846	C₂×#121	—	79	16	no	—
847	C₂×#121	—	79	2	no	—
848	C₂×#121	—	79	1	no	—
849	C₂×#121	—	79	1	no	—
850	C₂×#121	—	79	1	no	—
851	C₂×#121	—	79	1	no	—
852	C₂×#121	—	79	1	no	—
853	C₂×#121	—	79	2	no	—
854	C₂×#121	—	79	2	no	—
855	C₂×#121	—	79	1	no	—
856	C₂×#121	—	79	1	no	—
857	C₂×#121	—	79	2	no	—
858	C₂×#121	—	79	2	no	—
859	C₂×#121	—	79	2	no	—
860	C₂×#121	—	79	16	no	—
861	C₂×#121	—	79	2	no	—
862	C₂×#121	—	79	1	no	—
863	C₂×#121	—	79	2	no	—
864	C₂×#121	—	79	2	no	—
865	C₂×#121	—	79	2	no	—
866	C₂×#121	—	79	2	no	—
867	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
868	C₂×#121	C₂×D₇₉	1	2	yes	complemented
869	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
870	C₂×#120	—	79	1	no	—
871	C₂×#120	—	79	2	no	—
872	C₂×#120	—	79	2	no	—
873	C₂×#120	—	79	2	no	—
874	C₂×#120	—	79	1	no	—
875	C₂×#120	—	79	2	no	—
876	C₂×#120	—	79	2	no	—
877	C₂×#120	—	79	2	no	—
878	C₂×#120	—	79	2	no	—
879	C₂×#120	—	79	2	no	—
880	C₂×#120	—	79	2	no	—
881	C₂×#120	—	79	2	no	—
882	C₂×#120	—	79	2	no	—
883	C₂×#120	—	79	2	no	—
884	C₂×C₄×D₄	—	79	1	no	—
885	C₂×C₄×D₄	—	79	1	no	—
886	C₂×C₄×D₄	—	79	2	no	—
887	C₂×C₄×D₄	—	79	2	no	—
888	C₂×C₄×D₄	—	79	1	no	—
889	C₂×C₄×D₄	—	79	1	no	—
890	C₂×C₄×D₄	—	79	1	no	—
891	C₂×C₄×D₄	—	79	2	no	—
892	C₂×C₄×D₄	—	79	1	no	—
893	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
894	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
895	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
896	C₂×#117	—	79	1	no	—
897	C₂×#117	—	79	1	no	—
898	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
899	C₂²×C₄⋊C₄	—	79	1	no	—
900	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
901	C₂²×C₂²⋊C₄	—	79	2	no	—
902	C₂²×C₂²⋊C₄	—	79	2	no	—
903	C₂⁵	—	79	2	no	—
904	C₂⁵	—	79	2	no	—
905	C₂⁵	—	79	2	no	—
906	C₂⁵	—	79	2	no	—
907	C₂⁵	—	79	1	no	—
908	C₂×#41	—	316	4	no	—
909	C₂×#41	—	79	8	no	—
910	C₂²×Q₈	—	79	1	no	—
911	C₂²×D₄	—	316	4	no	—
912	C₂²×D₄	—	316	4	no	—
913	C₂²×D₄	—	316	8	no	—
914	C₂²×D₄	—	316	8	no	—
915	C₂²×D₄	—	316	8	no	—
916	C₂²×D₄	—	316	8	no	—
917	C₂²×D₄	—	316	8	no	—
918	C₂²×D₄	—	316	8	no	—
919	C₂²×D₄	—	316	4	no	—
920	C₂²×D₄	—	316	4	no	—
921	C₂²×D₄	—	79	1	no	—
922	C₂²×D₄	—	79	1	no	—
923	C₂²×D₄	—	79	2	no	—
924	C₂²×D₄	—	79	2	no	—
925	C₂²×D₄	—	79	2	no	—
926	C₂²×D₄	—	79	2	no	—
927	C₂²×D₄	—	79	2	no	—
928	C₂²×D₄	—	79	2	no	—
929	C₂²×D₄	—	79	16	no	—
930	C₂²×D₄	—	79	8	no	—
931	C₂²×D₄	—	79	16	no	—
932	C₂²×D₄	—	79	16	no	—
933	C₂²×D₄	—	79	16	no	—
934	C₂²×D₄	—	79	8	no	—
935	C₂²×D₄	—	79	1	no	—
936	C₂²×D₄	—	79	1	no	—
937	C₂²×D₄	—	79	2	no	—
938	C₂²×D₄	—	79	1	no	—
939	C₂²×D₄	—	79	2	no	—
940	C₂²×D₄	—	79	2	no	—
941	C₂²×D₄	—	79	2	no	—
942	C₂²×D₄	—	79	2	no	—
943	C₂²×D₄	—	79	2	no	—
944	C₂²×D₄	—	79	2	no	—
945	C₂²×D₄	—	79	2	no	—
946	C₂²×D₄	—	79	2	no	—
947	C₂²×D₄	—	79	2	no	—
948	C₂²×D₄	—	79	8	no	—
949	C₂²×D₄	—	79	16	no	—
950	C₂²×D₄	—	79	16	no	—
951	C₂²×D₄	—	79	8	no	—
952	C₂²×D₄	—	79	2	no	—
953	C₂²×D₄	—	79	1	no	—
954	C₂²×D₄	—	79	2	no	—
955	C₂²×D₄	—	79	1	no	—
956	C₂²×D₄	—	79	1	no	—
957	C₂²×D₄	—	79	1	no	—
958	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
959	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
960	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
961	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
962	C₂³×C₄	—	316	4	no	—
963	C₂³×C₄	—	79	1	no	—
964	C₂³×C₄	—	79	1	no	—
965	C₂³×C₄	—	79	2	no	—
966	C₂³×C₄	—	79	2	no	—
967	C₂³×C₄	—	79	2	no	—
968	C₂³×C₄	—	79	2	no	—
969	C₂³×C₄	—	79	1	no	—
970	C₂³×C₄	—	79	8	no	—
971	C₂³×C₄	—	79	1	no	—
972	C₂³×C₄	—	79	1	no	—
973	C₂³×C₄	—	79	1	no	—
974	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
975	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
976	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
977	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
978	#127	—	79	16	no	—
979	#127	—	79	8	no	—
980	#127	—	79	16	no	—
981	#127	—	79	8	no	—
982	#126	—	79	16	no	—
983	#126	—	79	16	no	—
984	#126	—	79	16	no	—
985	#126	C₂²×D₇₉	1	16	yes	complemented
986	#125	—	79	8	no	—
987	#125	C₂²×D₇₉	1	8	yes	complemented
988	#124	—	79	16	no	—
989	#124	—	79	16	no	—
990	#123	—	79	16	no	—
991	#123	—	79	8	no	—
992	#123	—	79	16	no	—
993	#123	—	79	16	no	—
994	#123	—	79	16	no	—
995	#123	—	79	16	no	—
996	#123	—	79	8	no	—
997	#123	—	79	16	no	—
998	#123	—	79	16	no	—
999	#123	C₂²×D₇₉	1	16	yes	complemented
1000	C₂²⋊Q₈	—	79	8	no	—
1001	C₂²⋊Q₈	—	79	8	no	—
1002	#121	—	79	16	no	—
1003	#121	—	79	8	no	—
1004	#121	—	79	8	no	—
1005	#121	—	79	8	no	—
1006	#121	—	79	16	no	—
1007	#121	—	79	8	no	—
1008	#121	—	79	16	no	—
1009	#121	—	79	16	no	—
1010	#121	—	79	16	no	—
1011	#121	—	79	8	no	—
1012	#121	—	79	8	no	—
1013	#121	—	79	8	no	—
1014	#121	—	79	8	no	—
1015	#121	—	79	8	no	—
1016	#121	—	79	16	no	—
1017	#121	—	79	16	no	—
1018	#121	—	79	8	no	—
1019	#121	—	79	8	no	—
1020	#121	—	79	16	no	—
1021	#121	—	79	16	no	—
1022	#121	—	79	16	no	—
1023	#121	—	79	16	no	—
1024	#121	—	79	8	no	—
1025	#121	—	79	16	no	—
1026	#121	—	79	16	no	—
1027	#121	—	79	16	no	—
1028	#121	—	79	16	no	—
1029	#121	C₂²×D₇₉	1	8	yes	complemented
1030	#121	C₂²×D₇₉	1	16	yes	complemented
1031	#121	C₂²×D₇₉	1	8	yes	complemented
1032	#120	—	79	8	no	—
1033	#120	—	79	16	no	—
1034	#120	—	79	16	no	—
1035	#120	—	79	16	no	—
1036	#120	—	79	8	no	—
1037	#120	—	79	16	no	—
1038	#120	—	79	16	no	—
1039	#120	—	79	16	no	—
1040	#120	—	79	16	no	—
1041	#120	—	79	16	no	—
1042	#120	—	79	16	no	—
1043	#120	—	79	16	no	—
1044	#120	—	79	16	no	—
1045	#120	—	79	16	no	—
1046	C₄×D₄	—	79	8	no	—
1047	C₄×D₄	—	79	8	no	—
1048	C₄×D₄	—	79	16	no	—
1049	C₄×D₄	—	79	16	no	—
1050	C₄×D₄	—	79	8	no	—
1051	C₄×D₄	—	79	8	no	—
1052	C₄×D₄	—	79	8	no	—
1053	C₄×D₄	—	79	16	no	—
1054	C₄×D₄	—	79	8	no	—
1055	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1056	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
1057	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1058	#117	—	79	8	no	—
1059	#117	—	79	8	no	—
1060	#117	C₂²×D₇₉	1	8	yes	complemented
1061	C₂×C₄⋊C₄	—	79	1	no	—
1062	C₂×C₄⋊C₄	—	79	2	no	—
1063	C₂×C₄⋊C₄	—	79	1	no	—
1064	C₂×C₄⋊C₄	—	79	1	no	—
1065	C₂×C₄⋊C₄	—	79	1	no	—
1066	C₂×C₄⋊C₄	—	79	1	no	—
1067	C₂×C₄⋊C₄	—	79	1	no	—
1068	C₂×C₄⋊C₄	—	79	2	no	—
1069	C₂×C₄⋊C₄	—	79	2	no	—
1070	C₂×C₄⋊C₄	—	79	8	no	—
1071	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1075	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1076	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1078	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1079	C₂×C₂²⋊C₄	—	79	2	no	—
1080	C₂×C₂²⋊C₄	—	79	1	no	—
1081	C₂×C₂²⋊C₄	—	79	1	no	—
1082	C₂×C₂²⋊C₄	—	79	2	no	—
1083	C₂×C₂²⋊C₄	—	79	2	no	—
1084	C₂×C₂²⋊C₄	—	79	2	no	—
1085	C₂×C₂²⋊C₄	—	79	2	no	—
1086	C₂×C₂²⋊C₄	—	79	2	no	—
1087	C₂×C₂²⋊C₄	—	79	2	no	—
1088	C₂×C₂²⋊C₄	—	79	16	no	—
1089	C₂×C₂²⋊C₄	—	79	2	no	—
1090	C₂×C₂²⋊C₄	—	79	1	no	—
1091	C₂×C₂²⋊C₄	—	79	1	no	—
1092	C₂×C₂²⋊C₄	—	79	1	no	—
1093	C₂×C₂²⋊C₄	—	79	1	no	—
1094	C₂×C₂²⋊C₄	—	79	2	no	—
1095	C₂×C₂²⋊C₄	—	79	2	no	—
1096	C₂×C₂²⋊C₄	—	79	2	no	—
1097	C₂×C₂²⋊C₄	—	79	2	no	—
1098	C₂×C₂²⋊C₄	—	79	2	no	—
1099	C₂×C₂²⋊C₄	—	79	2	no	—
1100	C₂×C₂²⋊C₄	—	79	1	no	—
1101	C₂×C₂²⋊C₄	—	79	1	no	—
1102	C₂×C₂²⋊C₄	—	79	16	no	—
1103	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1104	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1105	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1107	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1108	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1109	C₂×C₄²	—	79	1	no	—
1110	C₂×C₄²	—	79	2	no	—
1111	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1112	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1113	C₂⁴	—	316	2	no	—
1114	C₂⁴	—	316	4	no	—
1115	C₂⁴	—	316	4	no	—
1116	C₂⁴	—	316	4	no	—
1117	C₂⁴	—	316	4	no	—
1118	C₂⁴	—	316	4	no	—
1119	C₂⁴	—	316	4	no	—
1120	C₂⁴	—	316	4	no	—
1121	C₂⁴	—	316	4	no	—
1122	C₂⁴	—	316	4	no	—
1123	C₂⁴	—	316	4	no	—
1124	C₂⁴	—	79	8	no	—
1125	C₂⁴	—	79	8	no	—
1126	C₂⁴	—	79	8	no	—
1127	C₂⁴	—	79	8	no	—
1128	C₂⁴	—	79	4	no	—
1129	C₂⁴	—	79	1	no	—
1130	C₂⁴	—	79	2	no	—
1131	C₂⁴	—	79	2	no	—
1132	C₂⁴	—	79	2	no	—
1133	C₂⁴	—	79	1	no	—
1134	C₂⁴	—	79	1	no	—
1135	C₂⁴	—	158	4	no	—
1136	C₂⁴	—	158	8	no	—
1137	C₂⁴	—	158	4	no	—
1138	C₂⁴	—	158	8	no	—
1139	C₂⁴	C₂³×D₇₉	1	2	yes	—
1140	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1141	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1142	#41	—	316	16	no	—
1143	C₂×Q₈	—	316	2	no	—
1144	C₂×Q₈	—	79	4	no	—
1145	C₂×D₄	—	2	8	no	—
1146	C₂×D₄	—	2	4	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	4	4	no	—
1149	C₂×D₄	—	316	4	no	—
1150	C₂×D₄	—	316	4	no	—
1151	C₂×D₄	—	316	4	no	—
1152	C₂×D₄	—	316	4	no	—
1153	C₂×D₄	—	316	4	no	—
1154	C₂×D₄	—	316	4	no	—
1155	C₂×D₄	—	316	4	no	—
1156	C₂×D₄	—	316	4	no	—
1157	C₂×D₄	—	316	4	no	—
1158	C₂×D₄	—	316	2	no	—
1159	C₂×D₄	—	316	16	no	—
1160	C₂×D₄	—	316	16	no	—
1161	C₂×D₄	—	316	32	no	—
1162	C₂×D₄	—	316	32	no	—
1163	C₂×D₄	—	316	32	no	—
1164	C₂×D₄	—	316	32	no	—
1165	C₂×D₄	—	316	32	no	—
1166	C₂×D₄	—	316	32	no	—
1167	C₂×D₄	—	316	16	no	—
1168	C₂×D₄	—	316	16	no	—
1169	C₂×D₄	—	316	4	no	—
1170	C₂×D₄	—	316	4	no	—
1171	C₂×D₄	—	316	4	no	—
1172	C₂×D₄	—	316	4	no	—
1173	C₂×D₄	—	316	4	no	—
1174	C₂×D₄	—	316	4	no	—
1175	C₂×D₄	—	316	2	no	—
1176	C₂×D₄	—	316	2	no	—
1177	C₂×D₄	—	79	4	no	—
1178	C₂×D₄	—	79	4	no	—
1179	C₂×D₄	—	79	8	no	—
1180	C₂×D₄	—	79	8	no	—
1181	C₂×D₄	—	79	8	no	—
1182	C₂×D₄	—	79	8	no	—
1183	C₂×D₄	—	79	8	no	—
1184	C₂×D₄	—	79	8	no	—
1185	C₂×D₄	—	79	4	no	—
1186	C₂×D₄	—	79	4	no	—
1187	C₂×D₄	—	79	8	no	—
1188	C₂×D₄	—	79	4	no	—
1189	C₂×D₄	—	79	8	no	—
1190	C₂×D₄	—	79	8	no	—
1191	C₂×D₄	—	79	8	no	—
1192	C₂×D₄	—	79	8	no	—
1193	C₂×D₄	—	79	8	no	—
1194	C₂×D₄	—	79	8	no	—
1195	C₂×D₄	—	79	8	no	—
1196	C₂×D₄	—	79	8	no	—
1197	C₂×D₄	—	79	8	no	—
1198	C₂×D₄	—	79	8	no	—
1199	C₂×D₄	—	79	4	no	—
1200	C₂×D₄	—	79	8	no	—
1201	C₂×D₄	—	79	4	no	—
1202	C₂×D₄	—	79	4	no	—
1203	C₂×D₄	—	79	4	no	—
1204	C₂×D₄	—	158	8	no	—
1205	C₂×D₄	—	158	4	no	—
1206	C₂×D₄	—	158	8	no	—
1207	C₂×D₄	—	158	4	no	—
1208	C₂×D₄	—	158	8	no	—
1209	C₂×D₄	—	158	4	no	—
1210	C₂×D₄	—	158	4	no	—
1211	C₂×D₄	—	158	4	no	—
1212	C₂×D₄	—	158	4	no	—
1213	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1214	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1215	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1216	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1217	C₂²×C₄	—	2	4	no	—
1218	C₂²×C₄	—	2	4	no	—
1219	C₂²×C₄	—	4	4	no	—
1220	C₂²×C₄	—	4	4	no	—
1221	C₂²×C₄	—	316	2	no	—
1222	C₂²×C₄	—	316	2	no	—
1223	C₂²×C₄	—	316	4	no	—
1224	C₂²×C₄	—	316	4	no	—
1225	C₂²×C₄	—	316	4	no	—
1226	C₂²×C₄	—	316	4	no	—
1227	C₂²×C₄	—	316	16	no	—
1228	C₂²×C₄	—	316	2	no	—
1229	C₂²×C₄	—	79	4	no	—
1230	C₂²×C₄	—	79	4	no	—
1231	C₂²×C₄	—	79	8	no	—
1232	C₂²×C₄	—	79	8	no	—
1233	C₂²×C₄	—	79	8	no	—
1234	C₂²×C₄	—	79	8	no	—
1235	C₂²×C₄	—	79	4	no	—
1236	C₂²×C₄	—	79	1	no	—
1237	C₂²×C₄	—	79	1	no	—
1238	C₂²×C₄	—	79	1	no	—
1239	C₂²×C₄	—	79	2	no	—
1240	C₂²×C₄	—	79	1	no	—
1241	C₂²×C₄	—	79	1	no	—
1242	C₂²×C₄	—	79	4	no	—
1243	C₂²×C₄	—	79	4	no	—
1244	C₂²×C₄	—	79	4	no	—
1245	C₂²×C₄	—	158	4	no	—
1246	C₂²×C₄	—	158	4	no	—
1247	C₂²×C₄	—	158	4	no	—
1248	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1249	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1250	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1251	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1254	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1256	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1258	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1259	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1260	C₄⋊C₄	—	79	8	no	—
1261	C₄⋊C₄	—	79	4	no	—
1262	C₄⋊C₄	—	79	4	no	—
1263	C₄⋊C₄	—	79	4	no	—
1264	C₄⋊C₄	—	79	4	no	—
1265	C₄⋊C₄	—	79	8	no	—
1266	C₄⋊C₄	—	79	4	no	—
1267	C₄⋊C₄	—	79	4	no	—
1268	C₄⋊C₄	—	79	8	no	—
1269	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1270	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1271	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1272	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1273	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1274	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1275	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1276	C₂²⋊C₄	—	79	8	no	—
1277	C₂²⋊C₄	—	79	4	no	—
1278	C₂²⋊C₄	—	79	4	no	—
1279	C₂²⋊C₄	—	79	8	no	—
1280	C₂²⋊C₄	—	79	8	no	—
1281	C₂²⋊C₄	—	79	8	no	—
1282	C₂²⋊C₄	—	79	8	no	—
1283	C₂²⋊C₄	—	79	8	no	—
1284	C₂²⋊C₄	—	79	8	no	—
1285	C₂²⋊C₄	—	79	8	no	—
1286	C₂²⋊C₄	—	79	4	no	—
1287	C₂²⋊C₄	—	79	4	no	—
1288	C₂²⋊C₄	—	79	4	no	—
1289	C₂²⋊C₄	—	79	4	no	—
1290	C₂²⋊C₄	—	79	8	no	—
1291	C₂²⋊C₄	—	79	8	no	—
1292	C₂²⋊C₄	—	79	8	no	—
1293	C₂²⋊C₄	—	79	8	no	—
1294	C₂²⋊C₄	—	79	8	no	—
1295	C₂²⋊C₄	—	79	8	no	—
1296	C₂²⋊C₄	—	79	4	no	—
1297	C₂²⋊C₄	—	79	4	no	—
1298	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1299	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1300	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1301	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1302	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1303	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1304	C₄²	—	79	4	no	—
1305	C₄²	—	79	8	no	—
1306	C₄²	C₂³×D₇₉	1	4	yes	—
1307	C₄²	C₂³×D₇₉	1	8	yes	—
1308	C₂³	—	2	2	no	—
1309	C₂³	—	2	2	no	—
1310	C₂³	—	2	4	no	—
1311	C₂³	—	2	2	no	—
1312	C₂³	—	2	2	no	—
1313	C₂³	—	2	4	no	—
1314	C₂³	—	2	2	no	—
1315	C₂³	—	2	4	no	—
1316	C₂³	—	316	16	no	—
1317	C₂³	—	316	4	no	—
1318	C₂³	—	316	8	no	—
1319	C₂³	—	316	8	no	—
1320	C₂³	—	316	8	no	—
1321	C₂³	—	316	8	no	—
1322	C₂³	—	316	8	no	—
1323	C₂³	—	316	8	no	—
1324	C₂³	—	316	8	no	—
1325	C₂³	—	316	8	no	—
1326	C₂³	—	316	8	no	—
1327	C₂³	—	316	8	no	—
1328	C₂³	—	79	4	no	—
1329	C₂³	—	79	2	no	—
1330	C₂³	—	79	4	no	—
1331	C₂³	—	79	4	no	—
1332	C₂³	—	79	4	no	—
1333	C₂³	—	79	2	no	—
1334	C₂³	—	79	2	no	—
1335	C₂³	—	632	16	no	—
1336	C₂³	—	632	16	no	—
1337	C₂³	—	632	16	no	—
1338	C₂³	—	632	16	no	—
1339	C₂³	—	158	8	no	—
1340	C₂³	—	158	16	no	—
1341	C₂³	—	158	4	no	—
1342	C₂³	—	158	2	no	—
1343	C₂³	—	158	4	no	—
1344	C₂³	—	158	4	no	—
1345	C₂³	—	158	2	no	—
1346	C₂³	—	158	2	no	—
1347	C₂³	—	158	4	no	—
1348	C₂³	—	158	4	no	—
1349	C₂³	—	158	2	no	—
1350	C₂³	—	158	8	no	—
1351	C₂³	—	158	2	no	—
1352	C₂³	—	158	2	no	—
1353	C₂³	—	158	4	no	—
1354	C₂³	—	158	4	no	—
1355	C₂³	—	158	4	no	—
1356	C₂³	—	158	4	no	—
1357	C₂³	—	158	16	no	—
1358	C₂³	—	158	2	no	—
1359	C₂³	—	158	2	no	—
1360	C₂³	#14579207	1	4	yes	—
1361	C₂³	C₂⁴×D₇₉	1	4	yes	—
1362	C₂³	C₂⁴×D₇₉	1	2	yes	—
1363	C₂³	C₂⁴×D₇₉	1	2	yes	—
1364	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1365	Q₈	—	316	4	no	—
1366	D₄	—	2	16	no	—
1367	D₄	—	2	8	no	—
1368	D₄	—	2	8	no	—
1369	D₄	—	4	8	no	—
1370	D₄	—	316	8	no	—
1371	D₄	—	316	8	no	—
1372	D₄	—	316	8	no	—
1373	D₄	—	316	8	no	—
1374	D₄	—	316	8	no	—
1375	D₄	—	316	8	no	—
1376	D₄	—	316	8	no	—
1377	D₄	—	316	8	no	—
1378	D₄	—	316	8	no	—
1379	D₄	—	316	4	no	—
1380	D₄	—	316	8	no	—
1381	D₄	—	316	8	no	—
1382	D₄	—	316	8	no	—
1383	D₄	—	316	8	no	—
1384	D₄	—	316	8	no	—
1385	D₄	—	316	8	no	—
1386	D₄	—	316	4	no	—
1387	D₄	—	316	4	no	—
1388	D₄	—	158	16	no	—
1389	D₄	—	158	8	no	—
1390	D₄	—	158	16	no	—
1391	D₄	—	158	8	no	—
1392	D₄	—	158	16	no	—
1393	D₄	—	158	8	no	—
1394	D₄	—	158	8	no	—
1395	D₄	—	158	8	no	—
1396	D₄	—	158	8	no	—
1397	C₂×C₄	—	2	2	no	—
1398	C₂×C₄	—	2	4	no	—
1399	C₂×C₄	—	2	4	no	—
1400	C₂×C₄	—	2	2	no	—
1401	C₂×C₄	—	2	2	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	4	no	—
1404	C₂×C₄	—	2	8	no	—
1405	C₂×C₄	—	2	8	no	—
1406	C₂×C₄	—	4	8	no	—
1407	C₂×C₄	—	4	8	no	—
1408	C₂×C₄	—	316	4	no	—
1409	C₂×C₄	—	316	4	no	—
1410	C₂×C₄	—	316	8	no	—
1411	C₂×C₄	—	316	8	no	—
1412	C₂×C₄	—	316	8	no	—
1413	C₂×C₄	—	316	8	no	—
1414	C₂×C₄	—	316	4	no	—
1415	C₂×C₄	—	79	2	no	—
1416	C₂×C₄	—	79	2	no	—
1417	C₂×C₄	—	79	2	no	—
1418	C₂×C₄	—	79	4	no	—
1419	C₂×C₄	—	79	2	no	—
1420	C₂×C₄	—	79	2	no	—
1421	C₂×C₄	—	158	2	no	—
1422	C₂×C₄	—	158	2	no	—
1423	C₂×C₄	—	158	2	no	—
1424	C₂×C₄	—	158	2	no	—
1425	C₂×C₄	—	158	4	no	—
1426	C₂×C₄	—	158	2	no	—
1427	C₂×C₄	—	158	8	no	—
1428	C₂×C₄	—	158	8	no	—
1429	C₂×C₄	—	158	8	no	—
1430	C₂×C₄	#14579207	1	4	yes	—
1431	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1432	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1433	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1434	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1435	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1436	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1437	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1438	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1439	C₂²	—	2	8	no	—
1440	C₂²	—	2	2	no	—
1441	C₂²	—	2	2	no	—
1442	C₂²	—	2	4	no	—
1443	C₂²	—	2	2	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	4	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	4	no	—
1448	C₂²	—	4	8	no	—
1449	C₂²	—	4	4	no	—
1450	C₂²	—	316	16	no	—
1451	C₂²	—	316	4	no	—
1452	C₂²	—	316	8	no	—
1453	C₂²	—	316	8	no	—
1454	C₂²	—	316	4	no	—
1455	C₂²	—	316	8	no	—
1456	C₂²	—	79	4	no	—
1457	C₂²	—	632	16	no	—
1458	C₂²	—	632	16	no	—
1459	C₂²	—	632	16	no	—
1460	C₂²	—	632	16	no	—
1461	C₂²	—	158	4	no	—
1462	C₂²	—	158	2	no	—
1463	C₂²	—	158	4	no	—
1464	C₂²	—	158	2	no	—
1465	C₂²	—	158	4	no	—
1466	C₂²	—	158	2	no	—
1467	C₂²	—	158	4	no	—
1468	C₂²	—	158	4	no	—
1469	C₂²	—	158	2	no	—
1470	C₂²	—	158	2	no	—
1471	C₂²	—	158	2	no	—
1472	C₂²	—	158	4	no	—
1473	C₂²	—	158	4	no	—
1474	C₂²	—	158	4	no	—
1475	C₂²	—	158	4	no	—
1476	C₂²	—	158	8	no	—
1477	C₂²	—	158	2	no	—
1478	C₂²	—	158	2	no	—
1479	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1480	C₂²	C₂×#14579207	1	4	yes	—
1481	C₂²	C₂×#14579207	1	2	yes	—
1482	C₂²	C₂×#14579207	1	2	yes	—
1483	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1484	C₄	—	2	2	no	—
1485	C₄	—	2	4	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	158	2	no	—
1492	C₄	—	158	2	no	—
1493	C₄	—	158	2	no	—
1494	C₄	—	158	2	no	—
1495	C₄	—	158	4	no	—
1496	C₄	—	158	2	no	—
1497	C₄	C₂×#14579207	1	4	yes	—
1498	C₂	—	2	4	no	—
1499	C₂	—	4	4	no	—
1500	C₂	—	4	2	no	—
1501	C₂	—	316	2	no	—
1502	C₂	—	316	4	no	—
1503	C₂	—	316	4	no	—
1504	C₂	—	316	2	no	—
1505	C₂	—	316	4	no	—
1506	C₂	—	158	4	no	—
1507	C₂	#23777636	1	4	yes	direct product factor
1508	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1509	C₂	C₂²×#14579207	1	1	yes	characteristic
1510	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×#3537
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. #23777636	C₂	direct (N × H)
2. C₂×#19099304	C₂	semidirect
3. C₂×#19099303	C₂	semidirect
4. C₂×#19099266	C₂	semidirect
5. C₂×#19099261	C₂	semidirect
6. C₂×#19099257	C₂	semidirect
7. C₂×D₄×D₃₁₆	C₂	semidirect
8. C₂×D₄×D₃₁₆	C₂	semidirect
9. C₂×D₄×D₃₁₆	C₂	semidirect
10. C₂×#19099197	C₂	semidirect
11. C₂×#19099197	C₂	semidirect
12. C₂×#19099197	C₂	semidirect
13. C₂×#19099169	C₂	semidirect
14. C₂×#19099164	C₂	semidirect
15. C₂×#19099152	C₂	semidirect
16. C₂×#19099146	C₂	semidirect
17. C₂×#19099132	C₂	semidirect
18. C₂×#19099129	C₂	semidirect
19. C₂×#19099124	C₂	semidirect
20. C₂×#19099121	C₂	semidirect
21. C₂×#19099072	C₂	semidirect
22. C₂²×#14579136	C₂	semidirect
23. C₂×#121×D₇₉	C₂	semidirect
24. C₂×#553×C₇₉	C₂	semidirect
25. C₂²×#11929624	C₂²	semidirect
26. C₂³×D₃₁₆	C₂²	semidirect
27. C₂³×D₃₁₆	C₂²	semidirect
28. C₂³×D₃₁₆	C₂²	semidirect
29. C₂³×D₃₁₆	C₂²	semidirect
30. C₂²×D₄×D₇₉	C₂²	semidirect
31. C₂²×D₄×D₇₉	C₂²	semidirect
32. C₂²×D₄×D₇₉	C₂²	semidirect
33. C₂²×D₄×D₇₉	C₂²	semidirect
34. C₂²×D₄×D₇₉	C₂²	semidirect
35. C₂²×D₄×D₇₉	C₂²	semidirect
36. C₂³×C₄×D₇₉	C₂²	semidirect
37. #19099304	C₂²	semidirect
38. #19099303	C₂²	semidirect
39. #19099266	C₂²	semidirect
40. #19099261	C₂²	semidirect
41. #19099257	C₂²	semidirect
42. D₄×D₃₁₆	C₂²	semidirect
43. D₄×D₃₁₆	C₂²	semidirect
44. D₄×D₃₁₆	C₂²	semidirect
45. #19099197	C₂²	semidirect
46. #19099197	C₂²	semidirect
47. #19099197	C₂²	semidirect
48. #19099169	C₂²	semidirect
49. #19099164	C₂²	semidirect
50. #19099152	C₂²	semidirect
51. #19099146	C₂²	semidirect
52. #19099132	C₂²	semidirect
53. #19099129	C₂²	semidirect
54. #19099124	C₂²	semidirect
55. #19099121	C₂²	semidirect
56. C₂×#14579158	C₂²	semidirect
57. C₂×#14579158	C₂²	semidirect
58. C₂×#14579157	C₂²	semidirect
59. C₂×#14579157	C₂²	semidirect
60. C₂×#14579156	C₂²	semidirect
61. C₂×#14579156	C₂²	semidirect
62. C₂×#14579155	C₂²	semidirect
63. C₂×#14579152	C₂²	semidirect
64. C₂×#14579149	C₂²	semidirect
65. C₂×#14579147	C₂²	semidirect
66. #19099072	C₂²	semidirect
67. C₂×#14579146	C₂²	semidirect
68. C₂×#14579146	C₂²	semidirect
69. C₂×#14579146	C₂²	semidirect
70. C₂×#14579146	C₂²	semidirect
71. C₂×#14579146	C₂²	semidirect
72. C₂×#14579144	C₂²	semidirect
73. C₂×#14579143	C₂²	semidirect
74. C₂×#14579143	C₂²	semidirect
75. C₂×#14579143	C₂²	semidirect
76. C₂×#14579139	C₂²	semidirect
77. C₂×#14579138	C₂²	semidirect
78. C₂×#14579136	C₂²	semidirect
79. C₂×#14579136	C₂²	semidirect
80. C₂×#14579136	C₂²	semidirect
81. C₂×#14579136	C₂²	semidirect
82. C₂×#14579136	C₂²	semidirect
83. C₂×#14579136	C₂²	semidirect
84. C₂×#14579136	C₂²	semidirect
85. C₂×#14579136	C₂²	semidirect
86. C₂×#14579136	C₂²	semidirect
87. C₂×#14579136	C₂²	semidirect
88. C₂×#14579136	C₂²	semidirect
89. C₂×#14579136	C₂²	semidirect
90. C₂×#14579136	C₂²	semidirect
91. C₂×#14579136	C₂²	semidirect
92. C₂×#14579135	C₂²	semidirect
93. C₂×#14579135	C₂²	semidirect
94. C₂×#14579135	C₂²	semidirect
95. C₂×#14579135	C₂²	semidirect
96. C₂×#14579135	C₂²	semidirect
97. C₂×#14579134	C₂²	semidirect
98. C₂×#14579134	C₂²	semidirect
99. C₂×#14579134	C₂²	semidirect
100. C₂×#14579134	C₂²	semidirect
101. C₂×#14579134	C₂²	semidirect
102. C₂×#14579134	C₂²	semidirect
103. C₂×#14579133	C₂²	semidirect
104. C₂×#14579133	C₂²	semidirect
105. C₂×#14579132	C₂²	semidirect
106. #121×D₇₉	C₂²	semidirect
107. C₂×#14579131	C₂²	semidirect
108. C₂×#14579131	C₂²	semidirect
109. C₂×#14579131	C₂²	semidirect
110. C₂×#14579131	C₂²	semidirect
111. C₂×#14579131	C₂²	semidirect
112. C₂×#14579131	C₂²	semidirect
113. C₂×#14579131	C₂²	semidirect
114. C₂×#14579131	C₂²	semidirect
115. C₂×#14579131	C₂²	semidirect
116. C₂×#14579131	C₂²	semidirect
117. C₂×#14579129	C₂²	semidirect
118. C₂×#14579129	C₂²	semidirect
119. C₂×#14579129	C₂²	semidirect
120. C₂×#14579129	C₂²	semidirect
121. C₂×C₄×D₃₁₆	C₂²	semidirect
122. C₂×C₄×D₃₁₆	C₂²	semidirect
123. C₂×C₄×D₃₁₆	C₂²	semidirect
124. C₂×#14579123	C₂²	semidirect
125. C₂×#14579123	C₂²	semidirect
126. C₂×#14579123	C₂²	semidirect
127. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
128. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
129. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
130. C₂×#14579119	C₂²	semidirect
131. C₂×#14579118	C₂²	semidirect
132. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
133. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₇₉	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
153. C₂×#11929624	C₂³	semidirect
175. C₂²×D₃₁₆	C₂³	semidirect
176. C₂²×D₃₁₆	C₂³	semidirect
177. C₂²×D₃₁₆	C₂³	semidirect
178. C₂²×D₃₁₆	C₂³	semidirect
196. C₂×D₄×D₇₉	C₂³	semidirect
197. C₂×D₄×D₇₉	C₂³	semidirect
198. C₂×D₄×D₇₉	C₂³	semidirect
199. C₂×D₄×D₇₉	C₂³	semidirect
200. C₂×D₄×D₇₉	C₂³	semidirect
201. C₂×D₄×D₇₉	C₂³	semidirect
213. C₂²×C₄×D₇₉	C₂³	semidirect
214. #14579158	C₂³	semidirect
215. #14579158	C₂³	semidirect
216. #14579157	C₂³	semidirect
217. #14579157	C₂³	semidirect
218. #14579156	C₂³	semidirect
219. #14579156	C₂³	semidirect
220. #14579155	C₂³	semidirect
221. #14579152	C₂³	semidirect
222. #14579149	C₂³	semidirect
223. #14579147	C₂³	semidirect
224. #14579146	C₂³	semidirect
225. #14579146	C₂³	semidirect
226. #14579146	C₂³	semidirect
227. #14579146	C₂³	semidirect
228. #14579146	C₂³	semidirect
229. #14579144	C₂³	semidirect
230. #14579143	C₂³	semidirect
231. #14579143	C₂³	semidirect
232. #14579143	C₂³	semidirect
233. #14579139	C₂³	semidirect
234. #14579138	C₂³	semidirect
235. #14579136	C₂³	semidirect
236. #14579136	C₂³	semidirect
237. #14579136	C₂³	semidirect
238. #14579136	C₂³	semidirect
239. #14579136	C₂³	semidirect
240. #14579136	C₂³	semidirect
241. #14579136	C₂³	semidirect
242. #14579136	C₂³	semidirect
243. #14579136	C₂³	semidirect
244. #14579136	C₂³	semidirect
245. #14579136	C₂³	semidirect
246. #14579136	C₂³	semidirect
247. #14579136	C₂³	semidirect
248. #14579135	C₂³	semidirect
249. #14579135	C₂³	semidirect
250. #14579135	C₂³	semidirect
251. #14579135	C₂³	semidirect
252. #14579135	C₂³	semidirect
253. #14579134	C₂³	semidirect
254. #14579134	C₂³	semidirect
255. #14579134	C₂³	semidirect
256. #14579134	C₂³	semidirect
257. #14579134	C₂³	semidirect
258. #14579134	C₂³	semidirect
259. #14579133	C₂³	semidirect
260. #14579133	C₂³	semidirect
261. #14579132	C₂³	semidirect
262. #14579131	C₂³	semidirect
263. #14579131	C₂³	semidirect
264. #14579131	C₂³	semidirect
265. #14579131	C₂³	semidirect
266. #14579131	C₂³	semidirect
267. #14579131	C₂³	semidirect
268. #14579131	C₂³	semidirect
269. #14579131	C₂³	semidirect
270. #14579131	C₂³	semidirect
271. #14579131	C₂³	semidirect
272. #14579129	C₂³	semidirect
273. #14579129	C₂³	semidirect
274. #14579129	C₂³	semidirect
275. #14579129	C₂³	semidirect
276. C₄×D₃₁₆	C₂³	semidirect
277. C₄×D₃₁₆	C₂³	semidirect
278. C₄×D₃₁₆	C₂³	semidirect
279. #14579123	C₂³	semidirect
280. #14579123	C₂³	semidirect
281. #14579123	C₂³	semidirect
282. C₄×C₂²⋊D₇₉	C₂³	semidirect
283. C₄×C₂²⋊D₇₉	C₂³	semidirect
284. C₄×C₂²⋊D₇₉	C₂³	semidirect
285. #14579119	C₂³	semidirect
286. #14579118	C₂³	semidirect
296. C₄⋊C₄×D₇₉	C₂³	semidirect
319. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
320. C₂²⋊C₄×D₇₉	C₂³	semidirect
331. #126×C₇₉	C₂³	semidirect
332. #125×C₇₉	C₂³	semidirect
333. #123×C₇₉	C₂³	semidirect
334. #121×C₇₉	C₂³	semidirect
335. #121×C₇₉	C₂³	semidirect
336. #121×C₇₉	C₂³	semidirect
337. C₄×D₄×C₇₉	C₂³	semidirect
338. C₄×D₄×C₇₉	C₂³	semidirect
339. C₄×D₄×C₇₉	C₂³	semidirect
340. #117×C₇₉	C₂³	semidirect
348. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
746. C₂×C₇₉	#3537	semidirect
762. C₂×#553	D₇₉	semidirect
780. C₇₉	C₂×#3537	semidirect
798. #553	C₂×D₇₉	semidirect
820. C₂×#126	C₂×D₇₉	semidirect
822. C₂×#125	C₂×D₇₉	semidirect
835. C₂×#123	C₂×D₇₉	semidirect
867. C₂×#121	C₂×D₇₉	semidirect
868. C₂×#121	C₂×D₇₉	semidirect
869. C₂×#121	C₂×D₇₉	semidirect
893. C₂×C₄×D₄	C₂×D₇₉	semidirect
894. C₂×C₄×D₄	C₂×D₇₉	semidirect
895. C₂×C₄×D₄	C₂×D₇₉	semidirect
898. C₂×#117	C₂×D₇₉	semidirect
900. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
985. #126	C₂²×D₇₉	semidirect
987. #125	C₂²×D₇₉	semidirect
999. #123	C₂²×D₇₉	semidirect
1029. #121	C₂²×D₇₉	semidirect
1030. #121	C₂²×D₇₉	semidirect
1031. #121	C₂²×D₇₉	semidirect
1055. C₄×D₄	C₂²×D₇₉	semidirect
1056. C₄×D₄	C₂²×D₇₉	semidirect
1057. C₄×D₄	C₂²×D₇₉	semidirect
1060. #117	C₂²×D₇₉	semidirect
1078. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1507. C₂	#23777636	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777636	2
C₂×#19099304	2
C₂×#19099303	2
C₂×#19099266	2
C₂×#19099261	2
C₂×#19099257	2
C₂×D₄×D₃₁₆	2
C₂×#19099197	2
C₂×#19099169	2
C₂×#19099164	2
C₂×#19099152	2
C₂×#19099146	2
C₂×#19099132	2
C₂×#19099129	2
C₂×#19099124	2
C₂×#19099121	2
C₂×#19099072	2
C₂²×#14579136	2
C₂×#121×D₇₉	2
C₂×#553×C₇₉	2
C₂×#3537	79

Subgroups — C2×#23777636 #35195505

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777636 #35195505