Subgroups — C₂×#23777762 #35195901

Order 20224.

8046 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777762	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099301	C₂	1	2	yes	maximal, complemented
3	C₂×#19099301	C₂	1	2	yes	maximal, complemented
4	C₂×#19099284	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099261	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099260	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099231	C₂	1	2	yes	maximal, complemented
9	C₂×#19099214	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099204	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099202	C₂	1	2	yes	maximal, complemented
12	C₂×#19099201	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099197	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099183	C₂	1	2	yes	maximal, complemented
15	C₂×#19099153	C₂	1	2	yes	maximal, complemented
16	C₂×#19099145	C₂	1	2	yes	maximal, complemented
17	C₂×#19099143	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099129	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099129	C₂	1	2	yes	maximal, complemented
20	C₂×#19099127	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#19099109	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099108	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#19099099	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#537×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11929624	C₂²	1	2	yes	complemented
27	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#11929623	C₂²	1	2	yes	complemented
29	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₇₉	C₂²	1	2	yes	—
32	#19099301	C₂²	1	32	yes	complemented
33	#19099301	C₂²	1	32	yes	complemented
34	#19099284	C₂²	1	16	yes	complemented
35	#19099261	C₂²	1	16	yes	complemented
36	#19099260	C₂²	1	16	yes	complemented
37	#19099232	C₂²	1	16	yes	complemented
38	#19099231	C₂²	1	32	yes	complemented
39	#19099214	C₂²	1	16	yes	complemented
40	#19099204	C₂²	1	16	yes	complemented
41	#19099202	C₂²	1	32	yes	complemented
42	#19099201	C₂²	1	16	yes	complemented
43	#19099197	C₂²	1	16	yes	complemented
44	#19099183	C₂²	1	32	yes	complemented
45	#19099153	C₂²	1	32	yes	complemented
46	#19099145	C₂²	1	32	yes	complemented
47	#19099143	C₂²	1	16	yes	complemented
48	#19099129	C₂²	1	16	yes	complemented
49	#19099129	C₂²	1	32	yes	complemented
50	#19099127	C₂²	1	16	yes	complemented
51	#19099109	C₂²	1	16	yes	complemented
52	#19099108	C₂²	1	16	yes	complemented
53	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
55	C₂×#14579157	C₂²	1	1	yes	characteristic
56	C₂×#14579157	C₂²	1	1	yes	characteristic
57	C₂×#14579157	C₂²	1	2	yes	complemented
58	C₂×#14579157	C₂²	1	2	yes	complemented
59	C₂×#14579157	C₂²	1	2	yes	complemented
60	#19099099	C₂²	1	16	yes	complemented
61	C₂×#14579156	C₂²	1	2	yes	complemented
62	C₂×#14579156	C₂²	1	2	yes	complemented
63	C₂×#14579156	C₂²	1	2	yes	complemented
64	C₂×#14579154	C₂²	1	2	yes	complemented
65	C₂×#14579154	C₂²	1	2	yes	complemented
66	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14579150	C₂²	1	1	yes	characteristic
68	C₂×#14579150	C₂²	1	2	yes	complemented
69	C₂×#14579150	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14579147	C₂²	1	2	yes	—
72	C₂×#14579147	C₂²	1	2	yes	complemented
73	C₂×#14579147	C₂²	1	2	yes	complemented
74	C₂×#14579146	C₂²	1	2	yes	complemented
75	C₂×#14579146	C₂²	1	2	yes	complemented
76	C₂×#14579146	C₂²	1	2	yes	complemented
77	C₂×#14579145	C₂²	1	2	yes	complemented
78	C₂×#14579144	C₂²	1	2	yes	complemented
79	C₂×#14579144	C₂²	1	2	yes	complemented
80	C₂×#14579142	C₂²	1	2	yes	complemented
81	C₂×#14579139	C₂²	1	2	yes	complemented
82	C₂×#14579139	C₂²	1	2	yes	complemented
83	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14579136	C₂²	1	1	yes	characteristic
85	C₂×#14579136	C₂²	1	1	yes	characteristic
86	C₂×#14579136	C₂²	1	2	yes	complemented
87	C₂×#14579136	C₂²	1	2	yes	complemented
88	C₂×#14579135	C₂²	1	1	yes	characteristic
89	C₂×#14579135	C₂²	1	1	yes	characteristic
90	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14579135	C₂²	1	2	yes	complemented
92	C₂×#14579135	C₂²	1	2	yes	complemented
93	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14579134	C₂²	1	2	yes	—
95	C₂×#14579134	C₂²	1	2	yes	complemented
96	C₂×#14579134	C₂²	1	2	yes	complemented
97	C₂×#14579133	C₂²	1	1	yes	characteristic
98	C₂×#14579133	C₂²	1	2	yes	complemented
99	C₂×#14579133	C₂²	1	1	yes	characteristic, complemented
100	C₂×#14579133	C₂²	1	2	yes	complemented
101	C₂×#14579133	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14579133	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
104	C₂×#14579132	C₂²	1	2	yes	complemented
105	C₂×#14579132	C₂²	1	2	yes	complemented
106	C₂×#14579131	C₂²	1	2	yes	—
107	C₂×#14579131	C₂²	1	2	yes	complemented
108	C₂×#14579131	C₂²	1	2	yes	complemented
109	C₂×#14579129	C₂²	1	2	yes	—
110	C₂×#14579129	C₂²	1	2	yes	complemented
111	C₂×#14579129	C₂²	1	2	yes	complemented
112	C₂×#14579129	C₂²	1	2	yes	complemented
113	C₂×#14579129	C₂²	1	2	yes	complemented
114	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579126	C₂²	1	2	yes	complemented
116	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14579123	C₂²	1	1	yes	characteristic
118	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
120	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
121	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
125	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
128	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
129	C₂×#14579119	C₂²	1	2	yes	complemented
130	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
132	C₂²×(C₂×D₇₉)⋊C₄	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	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
136	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	#537×C₇₉	C₂²	1	16	yes	complemented
138	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	2	yes	complemented
139	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
142	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
143	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
144	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂×#121×C₇₉	C₂²	1	2	yes	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	C₂×#11929625	—	4	4	no	—
150	C₂×#11929625	C₂³	1	8	yes	complemented
151	C₂×#11929624	—	4	4	no	—
152	C₂×#11929624	—	4	8	no	—
153	C₂×#11929624	C₂³	1	8	yes	complemented
154	C₂×#11929624	C₂³	1	16	yes	complemented
155	C₂×#11929623	—	4	8	no	—
156	C₂×#11929623	C₂³	1	16	yes	complemented
157	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
158	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
159	C₂²×D₃₁₆	—	4	4	no	—
160	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
161	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
162	C₂²×D₃₁₆	C₂³	1	8	yes	—
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	1	yes	characteristic
167	C₂²×D₃₁₆	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
169	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
175	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
177	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
179	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
182	C₂×D₄×D₇₉	—	4	8	no	—
183	C₂×D₄×D₇₉	—	4	4	no	—
184	C₂×D₄×D₇₉	C₂³	1	8	yes	—
185	C₂×D₄×D₇₉	C₂³	1	16	yes	—
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	C₂³	1	1	yes	characteristic
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	#14579160	C₂³	1	8	yes	complemented
196	#14579159	C₂³	1	8	yes	complemented
197	#14579157	C₂³	1	8	yes	—
198	#14579157	C₂³	1	8	yes	—
199	#14579157	C₂³	1	16	yes	complemented
200	#14579157	C₂³	1	16	yes	complemented
201	#14579157	C₂³	1	16	yes	complemented
202	#14579156	C₂³	1	16	yes	complemented
203	#14579156	C₂³	1	16	yes	complemented
204	#14579156	C₂³	1	16	yes	complemented
205	#14579154	C₂³	1	16	yes	complemented
206	#14579154	C₂³	1	16	yes	complemented
207	#14579152	C₂³	1	8	yes	complemented
208	#14579150	C₂³	1	8	yes	—
209	#14579150	C₂³	1	8	yes	complemented
210	#14579150	C₂³	1	16	yes	complemented
211	#14579148	C₂³	1	8	yes	complemented
212	#14579147	C₂³	1	16	yes	—
213	#14579147	C₂³	1	16	yes	complemented
214	#14579147	C₂³	1	16	yes	complemented
215	#14579146	C₂³	1	16	yes	complemented
216	#14579146	C₂³	1	16	yes	complemented
217	#14579146	C₂³	1	16	yes	complemented
218	#14579145	C₂³	1	16	yes	complemented
219	#14579144	C₂³	1	16	yes	complemented
220	#14579144	C₂³	1	16	yes	complemented
221	#14579142	C₂³	1	16	yes	complemented
222	#14579139	C₂³	1	16	yes	complemented
223	#14579139	C₂³	1	16	yes	complemented
224	#14579137	C₂³	1	8	yes	complemented
225	#14579136	C₂³	1	8	yes	—
226	#14579136	C₂³	1	8	yes	—
227	#14579136	C₂³	1	16	yes	complemented
228	#14579136	C₂³	1	16	yes	complemented
229	#14579135	C₂³	1	8	yes	—
230	#14579135	C₂³	1	8	yes	—
231	#14579135	C₂³	1	8	yes	complemented
232	#14579135	C₂³	1	16	yes	complemented
233	#14579135	C₂³	1	8	yes	complemented
234	#14579135	C₂³	1	16	yes	complemented
235	#14579134	C₂³	1	16	yes	—
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	8	yes	complemented
241	#14579133	C₂³	1	16	yes	complemented
242	#14579133	C₂³	1	8	yes	complemented
243	#14579133	C₂³	1	8	yes	complemented
244	#14579132	C₂³	1	16	yes	complemented
245	#14579132	C₂³	1	8	yes	complemented
246	#14579132	C₂³	1	16	yes	complemented
247	#14579131	C₂³	1	16	yes	—
248	#14579131	C₂³	1	16	yes	complemented
249	#14579131	C₂³	1	16	yes	complemented
250	#14579129	C₂³	1	16	yes	—
251	#14579129	C₂³	1	16	yes	complemented
252	#14579129	C₂³	1	16	yes	complemented
253	#14579129	C₂³	1	16	yes	complemented
254	#14579129	C₂³	1	16	yes	complemented
255	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
256	#14579126	C₂³	1	16	yes	complemented
257	D₄×Dic₇₉	C₂³	1	8	yes	complemented
258	#14579123	C₂³	1	8	yes	—
259	#14579123	C₂³	1	8	yes	complemented
260	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
261	C₄×C₂²⋊D₇₉	C₂³	1	16	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	8	yes	complemented
266	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
267	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
268	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
269	#14579120	C₂³	1	8	yes	complemented
270	#14579119	C₂³	1	16	yes	complemented
271	#14579119	C₂³	1	8	yes	complemented
272	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
276	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
283	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
284	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
285	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
308	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
309	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
310	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
315	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
316	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
317	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
318	C₂×#41×C₇₉	—	4	4	no	—
319	C₂×#41×C₇₉	—	4	4	no	—
320	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
321	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
322	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
326	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
327	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
330	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
335	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
336	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
337	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
338	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
339	#121×C₇₉	C₂³	1	8	yes	—
340	#121×C₇₉	C₂³	1	16	yes	complemented
341	#121×C₇₉	C₂³	1	16	yes	complemented
342	#121×C₇₉	C₂³	1	16	yes	complemented
343	#121×C₇₉	C₂³	1	8	yes	complemented
344	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
349	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
350	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
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	2	yes	—
354	C₂³×D₇₉	—	4	4	no	—
355	C₂³×D₇₉	—	4	4	no	—
356	C₂³×D₇₉	—	4	4	no	—
357	C₂³×D₇₉	—	4	4	no	—
358	C₂³×D₇₉	—	4	4	no	—
359	C₂³×D₇₉	—	4	4	no	—
360	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
361	C₂³×D₇₉	C₂⁴	1	2	yes	—
362	C₂³×D₇₉	C₂⁴	1	2	yes	—
363	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
364	C₂³×D₇₉	C₂⁴	1	8	yes	—
365	C₂³×D₇₉	C₂⁴	1	8	yes	—
366	#11929625	—	4	16	no	—
367	#11929624	—	4	32	no	—
368	#11929624	—	4	16	no	—
369	#11929623	—	4	32	no	—
370	C₂×Dic₁₅₈	—	2	8	no	—
371	C₂×Dic₁₅₈	—	4	2	no	—
372	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
373	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
374	C₂×D₃₁₆	—	2	4	no	—
375	C₂×D₃₁₆	—	2	4	no	—
376	C₂×D₃₁₆	—	4	4	no	—
377	C₂×D₃₁₆	—	4	2	no	—
378	C₂×D₃₁₆	—	4	4	no	—
379	C₂×D₃₁₆	—	4	4	no	—
380	C₂×D₃₁₆	—	4	4	no	—
381	C₂×D₃₁₆	—	4	16	no	—
382	C₂×D₃₁₆	C₂⁴	1	4	yes	—
383	C₂×D₃₁₆	C₂⁴	1	4	yes	—
384	C₂×D₃₁₆	C₂⁴	1	8	yes	—
385	C₂×D₃₁₆	C₂⁴	1	4	yes	—
386	C₂×D₃₁₆	C₂⁴	1	8	yes	—
387	C₂×D₃₁₆	C₂⁴	1	8	yes	—
388	C₂×D₃₁₆	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₇₉	—	2	8	no	—
390	C₂×C₂²⋊D₇₉	—	2	4	no	—
391	C₂×C₂²⋊D₇₉	—	2	4	no	—
392	C₂×C₂²⋊D₇₉	—	4	4	no	—
393	C₂×C₂²⋊D₇₉	—	4	2	no	—
394	C₂×C₂²⋊D₇₉	—	4	4	no	—
395	C₂×C₂²⋊D₇₉	—	4	2	no	—
396	C₂×C₂²⋊D₇₉	—	4	4	no	—
397	C₂×C₂²⋊D₇₉	—	4	4	no	—
398	C₂×C₂²⋊D₇₉	—	4	2	no	—
399	C₂×C₂²⋊D₇₉	—	4	4	no	—
400	C₂×C₂²⋊D₇₉	—	4	4	no	—
401	C₂×C₂²⋊D₇₉	—	4	4	no	—
402	C₂×C₂²⋊D₇₉	—	4	2	no	—
403	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
405	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
406	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
408	C₂×C₂²⋊D₇₉	C₂⁴	1	8	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	4	yes	—
414	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
417	D₄×D₇₉	—	4	32	no	—
418	D₄×D₇₉	—	4	16	no	—
419	C₂²×Dic₇₉	—	2	4	no	—
420	C₂²×Dic₇₉	—	4	4	no	—
421	C₂²×Dic₇₉	—	4	2	no	—
422	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
424	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
426	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
427	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
431	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
432	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
433	C₂×C₄×D₇₉	—	2	8	no	—
434	C₂×C₄×D₇₉	—	2	4	no	—
435	C₂×C₄×D₇₉	—	2	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	C₂⁴	1	4	yes	—
440	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
441	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
442	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
443	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
444	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
445	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
446	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
447	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
448	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
449	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
450	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
451	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
452	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
453	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
454	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
455	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
456	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
458	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
459	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
460	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
461	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
462	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
463	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
464	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
467	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
471	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
472	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
473	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	C₄×Dic₇₉	C₂⁴	1	4	yes	—
481	C₄×Dic₇₉	C₂⁴	1	4	yes	—
482	C₄×Dic₇₉	C₂⁴	1	4	yes	—
483	C₄×Dic₇₉	C₂⁴	1	4	yes	—
484	C₄×Dic₇₉	C₂⁴	1	8	yes	—
485	C₄×Dic₇₉	C₂⁴	1	8	yes	—
486	C₄×Dic₇₉	C₂⁴	1	8	yes	—
487	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
489	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
491	#41×C₇₉	—	4	16	no	—
492	#41×C₇₉	—	4	16	no	—
493	C₂×Q₈×C₇₉	—	2	4	no	—
494	C₂×Q₈×C₇₉	—	4	2	no	—
495	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
496	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
497	C₂×D₄×C₇₉	—	2	4	no	—
498	C₂×D₄×C₇₉	—	4	4	no	—
499	C₂×D₄×C₇₉	—	4	4	no	—
500	C₂×D₄×C₇₉	—	4	2	no	—
501	C₂×D₄×C₇₉	—	4	2	no	—
502	C₂×D₄×C₇₉	—	4	2	no	—
503	C₂×D₄×C₇₉	—	4	4	no	—
504	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
505	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
506	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
507	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
508	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
510	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₇₉	—	2	4	no	—
512	C₂²×C₄×C₇₉	—	2	4	no	—
513	C₂²×C₄×C₇₉	—	2	4	no	—
514	C₂²×C₄×C₇₉	—	4	4	no	—
515	C₂²×C₄×C₇₉	—	4	4	no	—
516	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
520	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
522	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
524	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
525	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
526	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
527	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
528	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
529	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
530	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
531	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
532	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
533	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
534	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
535	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
536	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
537	C₂³×C₇₉	—	2	2	no	—
538	C₂³×C₇₉	—	2	4	no	—
539	C₂³×C₇₉	—	2	2	no	—
540	C₂³×C₇₉	—	2	2	no	—
541	C₂³×C₇₉	—	2	2	no	—
542	C₂³×C₇₉	—	2	4	no	—
543	C₂³×C₇₉	—	2	2	no	—
544	C₂³×C₇₉	—	2	2	no	—
545	C₂³×C₇₉	—	2	2	no	—
546	C₂³×C₇₉	—	2	2	no	—
547	C₂³×C₇₉	—	2	4	no	—
548	C₂³×C₇₉	—	2	2	no	—
549	C₂³×C₇₉	C₂⁵	1	2	yes	—
550	C₂³×C₇₉	C₂⁵	1	4	yes	—
551	C₂³×C₇₉	C₂⁵	1	2	yes	—
552	C₂³×C₇₉	C₂⁵	1	2	yes	—
553	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
554	C₂²×D₇₉	—	2	2	no	—
555	C₂²×D₇₉	—	2	4	no	—
556	C₂²×D₇₉	—	2	2	no	—
557	C₂²×D₇₉	—	2	2	no	—
558	C₂²×D₇₉	—	2	4	no	—
559	C₂²×D₇₉	—	2	4	no	—
560	C₂²×D₇₉	—	2	2	no	—
561	C₂²×D₇₉	—	2	4	no	—
562	C₂²×D₇₉	—	2	2	no	—
563	C₂²×D₇₉	—	2	4	no	—
564	C₂²×D₇₉	—	2	2	no	—
565	C₂²×D₇₉	—	2	4	no	—
566	C₂²×D₇₉	—	4	8	no	—
567	C₂²×D₇₉	—	4	8	no	—
568	C₂²×D₇₉	—	4	8	no	—
569	C₂²×D₇₉	—	4	8	no	—
570	C₂²×D₇₉	—	4	8	no	—
571	C₂²×D₇₉	—	4	8	no	—
572	C₂²×D₇₉	—	8	16	no	—
573	C₂²×D₇₉	—	8	16	no	—
574	C₂²×D₇₉	C₂⁵	1	2	yes	—
575	C₂²×D₇₉	C₂⁵	1	4	yes	—
576	C₂²×D₇₉	C₂⁵	1	4	yes	—
577	C₂²×D₇₉	C₂⁵	1	2	yes	—
578	Q₈×C₇₉	—	2	8	no	—
579	Q₈×C₇₉	—	4	4	no	—
580	D₄×C₇₉	—	2	8	no	—
581	D₄×C₇₉	—	4	8	no	—
582	D₄×C₇₉	—	4	8	no	—
583	D₄×C₇₉	—	4	4	no	—
584	D₄×C₇₉	—	4	4	no	—
585	D₄×C₇₉	—	4	4	no	—
586	D₄×C₇₉	—	4	8	no	—
587	C₂×C₄×C₇₉	—	2	4	no	—
588	C₂×C₄×C₇₉	—	2	4	no	—
589	C₂×C₄×C₇₉	—	2	4	no	—
590	C₂×C₄×C₇₉	—	2	2	no	—
591	C₂×C₄×C₇₉	—	2	2	no	—
592	C₂×C₄×C₇₉	—	2	2	no	—
593	C₂×C₄×C₇₉	—	2	8	no	—
594	C₂×C₄×C₇₉	—	2	8	no	—
595	C₂×C₄×C₇₉	—	2	8	no	—
596	C₂×C₄×C₇₉	—	4	8	no	—
597	C₂×C₄×C₇₉	—	4	8	no	—
598	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
599	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
600	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
601	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
602	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
603	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
604	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
605	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
606	C₂²⋊D₇₉	—	2	8	no	—
607	C₂²⋊D₇₉	—	2	16	no	—
608	C₂²⋊D₇₉	—	2	8	no	—
609	C₂²⋊D₇₉	—	4	8	no	—
610	C₂²⋊D₇₉	—	4	8	no	—
611	C₂²⋊D₇₉	—	4	8	no	—
612	C₂²⋊D₇₉	—	4	8	no	—
613	C₂²⋊D₇₉	—	4	4	no	—
614	C₂²⋊D₇₉	—	4	8	no	—
615	C₂²⋊D₇₉	—	4	4	no	—
616	C₂²⋊D₇₉	—	4	8	no	—
617	C₂²⋊D₇₉	—	4	4	no	—
618	C₂²⋊D₇₉	—	4	8	no	—
619	C₂²⋊D₇₉	—	4	4	no	—
620	C₂×Dic₇₉	—	2	2	no	—
621	C₂×Dic₇₉	—	2	2	no	—
622	C₂×Dic₇₉	—	2	2	no	—
623	C₂×Dic₇₉	—	2	4	no	—
624	C₂×Dic₇₉	—	2	2	no	—
625	C₂×Dic₇₉	—	2	2	no	—
626	C₂×Dic₇₉	—	2	4	no	—
627	C₂×Dic₇₉	—	2	8	no	—
628	C₂×Dic₇₉	—	4	4	no	—
629	C₂×Dic₇₉	—	4	8	no	—
630	C₂×Dic₇₉	H(5,𝔽₂)	1	4	yes	—
631	C₂×Dic₇₉	C₂⁵	1	4	yes	—
632	C₂×Dic₇₉	C₂⁵	1	2	yes	—
633	C₂×Dic₇₉	C₂⁵	1	2	yes	—
634	C₂×Dic₇₉	C₂⁵	1	2	yes	—
635	C₂×Dic₇₉	C₂⁵	1	2	yes	—
636	C₂×Dic₇₉	C₂⁵	1	4	yes	—
637	C₂×Dic₇₉	C₂⁵	1	2	yes	—
638	C₂×Dic₇₉	C₂⁵	1	2	yes	—
639	D₃₁₆	—	2	8	no	—
640	D₃₁₆	—	2	8	no	—
641	D₃₁₆	—	4	8	no	—
642	D₃₁₆	—	4	8	no	—
643	D₃₁₆	—	4	4	no	—
644	D₃₁₆	—	4	8	no	—
645	D₃₁₆	—	4	8	no	—
646	C₄×D₇₉	—	2	8	no	—
647	C₄×D₇₉	—	2	8	no	—
648	C₄×D₇₉	—	2	16	no	—
649	C₄×D₇₉	—	4	8	no	—
650	C₄×D₇₉	—	4	8	no	—
651	C₄×D₇₉	—	4	8	no	—
652	Dic₁₅₈	—	2	16	no	—
653	Dic₁₅₈	—	4	4	no	—
654	C₂²×C₇₉	—	2	2	no	—
655	C₂²×C₇₉	—	2	2	no	—
656	C₂²×C₇₉	—	2	4	no	—
657	C₂²×C₇₉	—	2	2	no	—
658	C₂²×C₇₉	—	2	2	no	—
659	C₂²×C₇₉	—	2	4	no	—
660	C₂²×C₇₉	—	2	2	no	—
661	C₂²×C₇₉	—	2	2	no	—
662	C₂²×C₇₉	—	2	2	no	—
663	C₂²×C₇₉	—	2	4	no	—
664	C₂²×C₇₉	—	2	2	no	—
665	C₂²×C₇₉	—	2	2	no	—
666	C₂²×C₇₉	—	4	4	no	—
667	C₂²×C₇₉	—	4	8	no	—
668	C₂²×C₇₉	—	4	4	no	—
669	C₂²×C₇₉	—	4	4	no	—
670	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
671	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
672	C₂²×C₇₉	#585	1	2	yes	—
673	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
674	C₂×D₇₉	—	2	4	no	—
675	C₂×D₇₉	—	2	2	no	—
676	C₂×D₇₉	—	2	2	no	—
677	C₂×D₇₉	—	2	4	no	—
678	C₂×D₇₉	—	2	2	no	—
679	C₂×D₇₉	—	2	4	no	—
680	C₂×D₇₉	—	2	2	no	—
681	C₂×D₇₉	—	2	4	no	—
682	C₂×D₇₉	—	2	2	no	—
683	C₂×D₇₉	—	2	4	no	—
684	C₂×D₇₉	—	2	2	no	—
685	C₂×D₇₉	—	2	4	no	—
686	C₂×D₇₉	—	4	4	no	—
687	C₂×D₇₉	—	4	8	no	—
688	C₂×D₇₉	—	4	4	no	—
689	C₂×D₇₉	—	4	8	no	—
690	C₂×D₇₉	—	8	16	no	—
691	C₂×D₇₉	—	8	16	no	—
692	C₄×C₇₉	—	2	2	no	—
693	C₄×C₇₉	—	2	2	no	—
694	C₄×C₇₉	—	2	2	no	—
695	C₄×C₇₉	—	2	4	no	—
696	C₄×C₇₉	—	2	4	no	—
697	C₄×C₇₉	—	2	4	no	—
698	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
699	Dic₇₉	—	2	2	no	—
700	Dic₇₉	—	2	4	no	—
701	Dic₇₉	—	2	2	no	—
702	Dic₇₉	—	2	2	no	—
703	Dic₇₉	—	2	4	no	—
704	Dic₇₉	—	2	2	no	—
705	Dic₇₉	—	2	2	no	—
706	Dic₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
707	C₂×#3546	—	79	1	no	maximal, Sylow
708	C₂×C₇₉	—	4	2	no	—
709	C₂×C₇₉	—	4	4	no	—
710	C₂×C₇₉	—	4	2	no	—
711	C₂×C₇₉	—	4	2	no	—
712	C₂×C₇₉	#3546	1	4	yes	complemented
713	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
714	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
715	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
716	D₇₉	—	4	2	no	—
717	D₇₉	—	4	4	no	—
718	D₇₉	—	4	2	no	—
719	D₇₉	—	4	4	no	—
720	#3546	—	79	32	no	—
721	C₂×#560	—	79	2	no	—
722	C₂×#560	—	79	2	no	—
723	C₂×#556	—	79	1	no	—
724	C₂×#553	—	79	1	no	—
725	C₂×#553	—	79	1	no	—
726	C₂×#550	—	79	1	no	—
727	C₂×#550	—	79	2	no	—
728	C₂×#547	—	79	1	no	—
729	C₂×#546	—	79	1	no	—
730	C₂×#546	—	79	1	no	—
731	C₂×#546	—	79	2	no	—
732	C₂×D₄²	—	79	1	no	—
733	C₂×#542	—	79	2	no	—
734	C₂×#538	—	79	2	no	—
735	C₂×#538	—	79	2	no	—
736	C₂×#537	—	79	1	no	—
737	C₂×#537	D₇₉	1	1	yes	characteristic, complemented
738	C₂×#535	—	79	1	no	—
739	C₂×#535	—	79	2	no	—
740	C₂×#535	—	79	1	no	—
741	C₂×#532	—	79	1	no	—
742	C₂×#532	—	79	1	no	—
743	C₂×#529	—	79	1	no	—
744	C₇₉	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
745	C₂²×#41	—	79	1	no	—
746	C₂²×#41	—	79	2	no	—
747	C₂²×#41	—	79	1	no	—
748	C₂²×#41	—	79	2	no	—
749	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
750	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
751	C₂³×D₄	—	79	1	no	—
752	C₂³×D₄	—	79	2	no	—
753	C₂³×D₄	—	79	1	no	—
754	#560	—	79	32	no	—
755	#560	—	79	32	no	—
756	#556	—	79	16	no	—
757	#553	—	79	16	no	—
758	#553	—	79	16	no	—
759	#550	—	79	16	no	—
760	#550	—	79	32	no	—
761	#547	—	79	16	no	—
762	#546	—	79	16	no	—
763	#546	—	79	16	no	—
764	#546	—	79	32	no	—
765	D₄²	—	79	16	no	—
766	#542	—	79	32	no	—
767	#538	—	79	32	no	—
768	#538	—	79	32	no	—
769	#537	—	79	16	no	—
770	#537	C₂×D₇₉	1	16	yes	complemented
771	#535	—	79	16	no	—
772	#535	—	79	32	no	—
773	#535	—	79	16	no	—
774	#532	—	79	16	no	—
775	#532	—	79	16	no	—
776	C₂×C₄⋊Q₈	—	79	1	no	—
777	C₂×C₄⋊Q₈	—	79	1	no	—
778	C₂×#127	—	79	1	no	—
779	C₂×#127	—	79	1	no	—
780	C₂×#127	—	79	2	no	—
781	C₂×#127	—	79	2	no	—
782	C₂×#127	—	79	2	no	—
783	#529	—	79	16	no	—
784	C₂×#126	—	79	2	no	—
785	C₂×#126	—	79	2	no	—
786	C₂×#126	—	79	2	no	—
787	C₂×#126	—	79	2	no	—
788	C₂×#126	—	79	2	no	—
789	C₂×#125	—	79	1	no	—
790	C₂×#124	—	79	1	no	—
791	C₂×#124	—	79	1	no	—
792	C₂×#124	—	79	2	no	—
793	C₂×#124	—	79	1	no	—
794	C₂×#124	—	79	2	no	—
795	C₂×#124	—	79	2	no	—
796	C₂×#124	—	79	2	no	—
797	C₂×#123	—	79	2	no	—
798	C₂×#123	—	79	2	no	—
799	C₂×#123	—	79	2	no	—
800	C₂×#123	—	79	2	no	—
801	C₂×#123	—	79	2	no	—
802	C₂×#123	—	79	2	no	—
803	C₂×#123	—	79	2	no	—
804	C₂×C₂²⋊Q₈	—	79	1	no	—
805	C₂×C₂²⋊Q₈	—	79	2	no	—
806	C₂×C₂²⋊Q₈	—	79	2	no	—
807	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
808	C₂×C₂²⋊Q₈	C₂×D₇₉	1	2	yes	complemented
809	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
810	C₂×#121	—	79	1	no	—
811	C₂×#121	—	79	1	no	—
812	C₂×#121	—	79	1	no	—
813	C₂×#121	—	79	2	no	—
814	C₂×#121	—	79	1	no	—
815	C₂×#121	—	79	1	no	—
816	C₂×#121	—	79	2	no	—
817	C₂×#121	—	79	2	no	—
818	C₂×#121	—	79	2	no	—
819	C₂×#121	—	79	1	no	—
820	C₂×#121	—	79	1	no	—
821	C₂×#121	—	79	1	no	—
822	C₂×#121	—	79	1	no	—
823	C₂×#121	—	79	2	no	—
824	C₂×#121	—	79	2	no	—
825	C₂×#121	—	79	2	no	—
826	C₂×#121	—	79	1	no	—
827	C₂×#121	—	79	1	no	—
828	C₂×#121	—	79	2	no	—
829	C₂×#121	—	79	2	no	—
830	C₂×#121	—	79	2	no	—
831	C₂×#121	—	79	2	no	—
832	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
833	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
834	C₂×#121	C₂×D₇₉	1	2	yes	complemented
835	C₂×#121	C₂×D₇₉	1	2	yes	complemented
836	C₂×#121	C₂×D₇₉	1	2	yes	complemented
837	C₂×#120	—	79	2	no	—
838	C₂×#120	—	79	2	no	—
839	C₂×#120	—	79	2	no	—
840	C₂×#120	—	79	2	no	—
841	C₂×#120	—	79	2	no	—
842	C₂×#120	—	79	2	no	—
843	C₂×#120	—	79	2	no	—
844	C₂×#120	—	79	2	no	—
845	C₂×C₄×Q₈	—	79	1	no	—
846	C₂×C₄×Q₈	—	79	2	no	—
847	C₂×C₄×D₄	—	79	1	no	—
848	C₂×C₄×D₄	—	79	1	no	—
849	C₂×C₄×D₄	—	79	1	no	—
850	C₂×C₄×D₄	—	79	1	no	—
851	C₂×C₄×D₄	—	79	1	no	—
852	C₂×C₄×D₄	—	79	2	no	—
853	C₂×C₄×D₄	—	79	2	no	—
854	C₂×C₄×D₄	—	79	1	no	—
855	C₂×C₄×D₄	—	79	1	no	—
856	C₂×C₄×D₄	—	79	2	no	—
857	C₂×C₄×D₄	—	79	2	no	—
858	C₂×C₄×D₄	—	79	2	no	—
859	C₂×#117	—	79	1	no	—
860	C₂×#117	—	79	2	no	—
861	C₂×#117	—	79	1	no	—
862	C₂²×C₄⋊C₄	—	79	1	no	—
863	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
864	C₂²×C₂²⋊C₄	—	79	2	no	—
865	C₂²×C₂²⋊C₄	—	79	2	no	—
866	C₂²×C₄²	—	79	1	no	—
867	C₂⁵	—	79	2	no	—
868	C₂⁵	—	79	2	no	—
869	C₂×#41	—	4	4	no	—
870	C₂×#41	—	4	4	no	—
871	C₂×#41	—	316	4	no	—
872	C₂×#41	—	316	8	no	—
873	C₂×#41	—	316	8	no	—
874	C₂×#41	—	316	4	no	—
875	C₂×#41	—	79	8	no	—
876	C₂×#41	—	79	16	no	—
877	C₂×#41	—	79	8	no	—
878	C₂×#41	—	79	16	no	—
879	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
880	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
881	C₂²×Q₈	—	79	1	no	—
882	C₂²×Q₈	—	79	2	no	—
883	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
884	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
885	C₂²×D₄	—	316	4	no	—
886	C₂²×D₄	—	316	4	no	—
887	C₂²×D₄	—	316	8	no	—
888	C₂²×D₄	—	79	1	no	—
889	C₂²×D₄	—	79	2	no	—
890	C₂²×D₄	—	79	1	no	—
891	C₂²×D₄	—	79	2	no	—
892	C₂²×D₄	—	79	2	no	—
893	C₂²×D₄	—	79	2	no	—
894	C₂²×D₄	—	79	1	no	—
895	C₂²×D₄	—	79	2	no	—
896	C₂²×D₄	—	79	2	no	—
897	C₂²×D₄	—	79	2	no	—
898	C₂²×D₄	—	79	1	no	—
899	C₂²×D₄	—	79	8	no	—
900	C₂²×D₄	—	79	16	no	—
901	C₂²×D₄	—	79	1	no	—
902	C₂²×D₄	—	79	2	no	—
903	C₂²×D₄	—	79	1	no	—
904	C₂²×D₄	—	79	2	no	—
905	C₂²×D₄	—	79	1	no	—
906	C₂²×D₄	—	79	2	no	—
907	C₂²×D₄	—	79	2	no	—
908	C₂²×D₄	—	79	2	no	—
909	C₂²×D₄	—	79	8	no	—
910	C₂²×D₄	—	79	1	no	—
911	C₂²×D₄	—	79	1	no	—
912	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
913	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
914	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
915	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
916	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
917	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
918	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
919	C₂³×C₄	—	79	2	no	—
920	C₂³×C₄	—	79	1	no	—
921	C₂³×C₄	—	79	2	no	—
922	C₂³×C₄	—	79	2	no	—
923	C₂³×C₄	—	79	2	no	—
924	C₂³×C₄	—	79	1	no	—
925	C₂³×C₄	—	79	1	no	—
926	C₂³×C₄	—	79	2	no	—
927	C₂³×C₄	—	79	1	no	—
928	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
929	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
930	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
932	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
933	C₄⋊Q₈	—	79	8	no	—
934	C₄⋊Q₈	—	79	8	no	—
935	#127	—	79	8	no	—
936	#127	—	79	8	no	—
937	#127	—	79	16	no	—
938	#127	—	79	16	no	—
939	#127	—	79	16	no	—
940	#126	—	79	16	no	—
941	#126	—	79	16	no	—
942	#126	—	79	16	no	—
943	#126	—	79	16	no	—
944	#126	—	79	16	no	—
945	#125	—	79	8	no	—
946	#124	—	79	8	no	—
947	#124	—	79	8	no	—
948	#124	—	79	16	no	—
949	#124	—	79	8	no	—
950	#124	—	79	16	no	—
951	#124	—	79	16	no	—
952	#124	—	79	16	no	—
953	#123	—	79	16	no	—
954	#123	—	79	16	no	—
955	#123	—	79	16	no	—
956	#123	—	79	16	no	—
957	#123	—	79	16	no	—
958	#123	—	79	16	no	—
959	#123	—	79	16	no	—
960	C₂²⋊Q₈	—	79	8	no	—
961	C₂²⋊Q₈	—	79	16	no	—
962	C₂²⋊Q₈	—	79	16	no	—
963	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
964	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
965	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
966	#121	—	79	8	no	—
967	#121	—	79	8	no	—
968	#121	—	79	8	no	—
969	#121	—	79	16	no	—
970	#121	—	79	8	no	—
971	#121	—	79	8	no	—
972	#121	—	79	16	no	—
973	#121	—	79	16	no	—
974	#121	—	79	16	no	—
975	#121	—	79	8	no	—
976	#121	—	79	8	no	—
977	#121	—	79	8	no	—
978	#121	—	79	8	no	—
979	#121	—	79	16	no	—
980	#121	—	79	16	no	—
981	#121	—	79	16	no	—
982	#121	—	79	8	no	—
983	#121	—	79	8	no	—
984	#121	—	79	16	no	—
985	#121	—	79	16	no	—
986	#121	—	79	16	no	—
987	#121	—	79	16	no	—
988	#121	C₂²×D₇₉	1	8	yes	—
989	#121	C₂²×D₇₉	1	8	yes	complemented
990	#121	C₂²×D₇₉	1	16	yes	complemented
991	#121	C₂²×D₇₉	1	16	yes	complemented
992	#121	C₂²×D₇₉	1	16	yes	complemented
993	#120	—	79	16	no	—
994	#120	—	79	16	no	—
995	#120	—	79	16	no	—
996	#120	—	79	16	no	—
997	#120	—	79	16	no	—
998	#120	—	79	16	no	—
999	#120	—	79	16	no	—
1000	#120	—	79	16	no	—
1001	C₄×Q₈	—	79	8	no	—
1002	C₄×Q₈	—	79	16	no	—
1003	C₄×D₄	—	79	8	no	—
1004	C₄×D₄	—	79	8	no	—
1005	C₄×D₄	—	79	8	no	—
1006	C₄×D₄	—	79	8	no	—
1007	C₄×D₄	—	79	8	no	—
1008	C₄×D₄	—	79	16	no	—
1009	C₄×D₄	—	79	16	no	—
1010	C₄×D₄	—	79	8	no	—
1011	C₄×D₄	—	79	8	no	—
1012	C₄×D₄	—	79	16	no	—
1013	C₄×D₄	—	79	16	no	—
1014	C₄×D₄	—	79	16	no	—
1015	#117	—	79	8	no	—
1016	#117	—	79	16	no	—
1017	#117	—	79	8	no	—
1018	C₂×C₄⋊C₄	—	79	1	no	—
1019	C₂×C₄⋊C₄	—	79	2	no	—
1020	C₂×C₄⋊C₄	—	79	1	no	—
1021	C₂×C₄⋊C₄	—	79	2	no	—
1022	C₂×C₄⋊C₄	—	79	1	no	—
1023	C₂×C₄⋊C₄	—	79	2	no	—
1024	C₂×C₄⋊C₄	—	79	1	no	—
1025	C₂×C₄⋊C₄	—	79	1	no	—
1026	C₂×C₄⋊C₄	—	79	2	no	—
1027	C₂×C₄⋊C₄	—	79	1	no	—
1028	C₂×C₄⋊C₄	—	79	2	no	—
1029	C₂×C₄⋊C₄	—	79	2	no	—
1030	C₂×C₄⋊C₄	—	79	8	no	—
1031	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1037	C₂×C₂²⋊C₄	—	79	1	no	—
1038	C₂×C₂²⋊C₄	—	79	2	no	—
1039	C₂×C₂²⋊C₄	—	79	1	no	—
1040	C₂×C₂²⋊C₄	—	79	1	no	—
1041	C₂×C₂²⋊C₄	—	79	2	no	—
1042	C₂×C₂²⋊C₄	—	79	2	no	—
1043	C₂×C₂²⋊C₄	—	79	1	no	—
1044	C₂×C₂²⋊C₄	—	79	2	no	—
1045	C₂×C₂²⋊C₄	—	79	1	no	—
1046	C₂×C₂²⋊C₄	—	79	2	no	—
1047	C₂×C₂²⋊C₄	—	79	2	no	—
1048	C₂×C₂²⋊C₄	—	79	2	no	—
1049	C₂×C₂²⋊C₄	—	79	16	no	—
1050	C₂×C₂²⋊C₄	—	79	2	no	—
1051	C₂×C₂²⋊C₄	—	79	2	no	—
1052	C₂×C₂²⋊C₄	—	79	2	no	—
1053	C₂×C₂²⋊C₄	—	79	1	no	—
1054	C₂×C₂²⋊C₄	—	79	1	no	—
1055	C₂×C₂²⋊C₄	—	79	2	no	—
1056	C₂×C₂²⋊C₄	—	79	2	no	—
1057	C₂×C₂²⋊C₄	—	79	2	no	—
1058	C₂×C₂²⋊C₄	—	79	2	no	—
1059	C₂×C₂²⋊C₄	—	79	2	no	—
1060	C₂×C₂²⋊C₄	—	79	1	no	—
1061	C₂×C₂²⋊C₄	—	79	16	no	—
1062	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1063	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1064	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1065	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1066	C₂×C₄²	—	79	1	no	—
1067	C₂×C₄²	—	79	2	no	—
1068	C₂×C₄²	—	79	2	no	—
1069	C₂×C₄²	—	79	2	no	—
1070	C₂×C₄²	—	79	1	no	—
1071	C₂×C₄²	—	79	1	no	—
1072	C₂×C₄²	—	79	1	no	—
1073	C₂×C₄²	—	79	8	no	—
1074	C₂⁴	—	316	4	no	—
1075	C₂⁴	—	316	4	no	—
1076	C₂⁴	—	316	4	no	—
1077	C₂⁴	—	316	4	no	—
1078	C₂⁴	—	316	4	no	—
1079	C₂⁴	—	316	4	no	—
1080	C₂⁴	—	79	8	no	—
1081	C₂⁴	—	79	8	no	—
1082	C₂⁴	—	79	2	no	—
1083	C₂⁴	—	79	1	no	—
1084	C₂⁴	—	79	2	no	—
1085	C₂⁴	—	79	1	no	—
1086	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1087	C₂⁴	C₂³×D₇₉	1	2	yes	—
1088	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1089	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1090	#41	—	4	16	no	—
1091	#41	—	4	16	no	—
1092	#41	—	316	16	no	—
1093	#41	—	316	32	no	—
1094	#41	—	316	32	no	—
1095	#41	—	316	16	no	—
1096	C₂×Q₈	—	2	4	no	—
1097	C₂×Q₈	—	4	2	no	—
1098	C₂×Q₈	—	316	2	no	—
1099	C₂×Q₈	—	79	4	no	—
1100	C₂×Q₈	—	79	8	no	—
1101	C₂×Q₈	—	158	8	no	—
1102	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1103	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1104	C₂×D₄	—	2	4	no	—
1105	C₂×D₄	—	4	4	no	—
1106	C₂×D₄	—	4	2	no	—
1107	C₂×D₄	—	4	2	no	—
1108	C₂×D₄	—	4	2	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	4	4	no	—
1111	C₂×D₄	—	316	4	no	—
1112	C₂×D₄	—	316	4	no	—
1113	C₂×D₄	—	316	4	no	—
1114	C₂×D₄	—	316	2	no	—
1115	C₂×D₄	—	316	4	no	—
1116	C₂×D₄	—	316	16	no	—
1117	C₂×D₄	—	316	16	no	—
1118	C₂×D₄	—	316	32	no	—
1119	C₂×D₄	—	316	4	no	—
1120	C₂×D₄	—	316	2	no	—
1121	C₂×D₄	—	316	4	no	—
1122	C₂×D₄	—	316	2	no	—
1123	C₂×D₄	—	316	4	no	—
1124	C₂×D₄	—	316	4	no	—
1125	C₂×D₄	—	316	4	no	—
1126	C₂×D₄	—	316	4	no	—
1127	C₂×D₄	—	316	4	no	—
1128	C₂×D₄	—	316	2	no	—
1129	C₂×D₄	—	316	2	no	—
1130	C₂×D₄	—	79	4	no	—
1131	C₂×D₄	—	79	8	no	—
1132	C₂×D₄	—	79	4	no	—
1133	C₂×D₄	—	79	8	no	—
1134	C₂×D₄	—	79	8	no	—
1135	C₂×D₄	—	79	8	no	—
1136	C₂×D₄	—	79	4	no	—
1137	C₂×D₄	—	79	8	no	—
1138	C₂×D₄	—	79	8	no	—
1139	C₂×D₄	—	79	8	no	—
1140	C₂×D₄	—	79	4	no	—
1141	C₂×D₄	—	79	4	no	—
1142	C₂×D₄	—	79	8	no	—
1143	C₂×D₄	—	79	4	no	—
1144	C₂×D₄	—	79	8	no	—
1145	C₂×D₄	—	79	4	no	—
1146	C₂×D₄	—	79	8	no	—
1147	C₂×D₄	—	79	8	no	—
1148	C₂×D₄	—	79	8	no	—
1149	C₂×D₄	—	79	4	no	—
1150	C₂×D₄	—	79	4	no	—
1151	C₂×D₄	—	158	4	no	—
1152	C₂×D₄	—	158	8	no	—
1153	C₂×D₄	—	158	4	no	—
1154	C₂×D₄	—	158	4	no	—
1155	C₂×D₄	—	158	4	no	—
1156	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1157	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1158	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1159	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1160	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1161	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1162	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1163	C₂²×C₄	—	2	4	no	—
1164	C₂²×C₄	—	2	4	no	—
1165	C₂²×C₄	—	2	4	no	—
1166	C₂²×C₄	—	4	4	no	—
1167	C₂²×C₄	—	4	4	no	—
1168	C₂²×C₄	—	316	4	no	—
1169	C₂²×C₄	—	316	4	no	—
1170	C₂²×C₄	—	316	4	no	—
1171	C₂²×C₄	—	316	2	no	—
1172	C₂²×C₄	—	316	4	no	—
1173	C₂²×C₄	—	79	4	no	—
1174	C₂²×C₄	—	79	8	no	—
1175	C₂²×C₄	—	79	8	no	—
1176	C₂²×C₄	—	79	8	no	—
1177	C₂²×C₄	—	79	8	no	—
1178	C₂²×C₄	—	79	1	no	—
1179	C₂²×C₄	—	79	4	no	—
1180	C₂²×C₄	—	79	2	no	—
1181	C₂²×C₄	—	79	1	no	—
1182	C₂²×C₄	—	79	1	no	—
1183	C₂²×C₄	—	79	1	no	—
1184	C₂²×C₄	—	79	1	no	—
1185	C₂²×C₄	—	79	2	no	—
1186	C₂²×C₄	—	79	1	no	—
1187	C₂²×C₄	—	79	4	no	—
1188	C₂²×C₄	—	79	8	no	—
1189	C₂²×C₄	—	79	4	no	—
1190	C₂²×C₄	—	158	8	no	—
1191	C₂²×C₄	—	158	4	no	—
1192	C₂²×C₄	—	158	4	no	—
1193	C₂²×C₄	—	158	4	no	—
1194	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1195	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1196	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1197	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1200	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1201	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1203	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1204	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1205	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1206	C₄⋊C₄	—	79	8	no	—
1207	C₄⋊C₄	—	79	4	no	—
1208	C₄⋊C₄	—	79	8	no	—
1209	C₄⋊C₄	—	79	4	no	—
1210	C₄⋊C₄	—	79	4	no	—
1211	C₄⋊C₄	—	79	8	no	—
1212	C₄⋊C₄	—	79	4	no	—
1213	C₄⋊C₄	—	79	8	no	—
1214	C₄⋊C₄	—	79	4	no	—
1215	C₄⋊C₄	—	79	4	no	—
1216	C₄⋊C₄	—	79	8	no	—
1217	C₄⋊C₄	—	79	8	no	—
1218	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1219	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1220	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1221	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1222	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1223	C₂²⋊C₄	—	79	4	no	—
1224	C₂²⋊C₄	—	79	8	no	—
1225	C₂²⋊C₄	—	79	4	no	—
1226	C₂²⋊C₄	—	79	4	no	—
1227	C₂²⋊C₄	—	79	8	no	—
1228	C₂²⋊C₄	—	79	8	no	—
1229	C₂²⋊C₄	—	79	4	no	—
1230	C₂²⋊C₄	—	79	8	no	—
1231	C₂²⋊C₄	—	79	4	no	—
1232	C₂²⋊C₄	—	79	8	no	—
1233	C₂²⋊C₄	—	79	8	no	—
1234	C₂²⋊C₄	—	79	8	no	—
1235	C₂²⋊C₄	—	79	8	no	—
1236	C₂²⋊C₄	—	79	8	no	—
1237	C₂²⋊C₄	—	79	8	no	—
1238	C₂²⋊C₄	—	79	4	no	—
1239	C₂²⋊C₄	—	79	4	no	—
1240	C₂²⋊C₄	—	79	8	no	—
1241	C₂²⋊C₄	—	79	8	no	—
1242	C₂²⋊C₄	—	79	8	no	—
1243	C₂²⋊C₄	—	79	8	no	—
1244	C₂²⋊C₄	—	79	8	no	—
1245	C₂²⋊C₄	—	79	4	no	—
1246	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1247	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1248	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1249	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1250	C₄²	—	79	4	no	—
1251	C₄²	—	79	4	no	—
1252	C₄²	—	79	4	no	—
1253	C₄²	—	79	4	no	—
1254	C₄²	—	79	8	no	—
1255	C₄²	—	79	8	no	—
1256	C₄²	—	79	8	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	2	4	no	—
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	4	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	316	8	no	—
1270	C₂³	—	316	8	no	—
1271	C₂³	—	316	8	no	—
1272	C₂³	—	316	8	no	—
1273	C₂³	—	316	8	no	—
1274	C₂³	—	316	8	no	—
1275	C₂³	—	79	4	no	—
1276	C₂³	—	79	2	no	—
1277	C₂³	—	79	4	no	—
1278	C₂³	—	79	2	no	—
1279	C₂³	—	632	16	no	—
1280	C₂³	—	632	16	no	—
1281	C₂³	—	158	2	no	—
1282	C₂³	—	158	4	no	—
1283	C₂³	—	158	4	no	—
1284	C₂³	—	158	2	no	—
1285	C₂³	—	158	4	no	—
1286	C₂³	—	158	2	no	—
1287	C₂³	—	158	2	no	—
1288	C₂³	—	158	4	no	—
1289	C₂³	—	158	2	no	—
1290	C₂³	—	158	4	no	—
1291	C₂³	—	158	4	no	—
1292	C₂³	—	158	2	no	—
1293	C₂³	C₂⁴×D₇₉	1	2	yes	—
1294	C₂³	C₂⁴×D₇₉	1	4	yes	—
1295	C₂³	C₂⁴×D₇₉	1	2	yes	—
1296	C₂³	C₂⁴×D₇₉	1	2	yes	—
1297	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1298	Q₈	—	2	8	no	—
1299	Q₈	—	4	4	no	—
1300	Q₈	—	316	4	no	—
1301	Q₈	—	158	16	no	—
1302	D₄	—	2	8	no	—
1303	D₄	—	4	8	no	—
1304	D₄	—	4	4	no	—
1305	D₄	—	4	4	no	—
1306	D₄	—	4	4	no	—
1307	D₄	—	4	8	no	—
1308	D₄	—	4	8	no	—
1309	D₄	—	316	8	no	—
1310	D₄	—	316	8	no	—
1311	D₄	—	316	8	no	—
1312	D₄	—	316	4	no	—
1313	D₄	—	316	8	no	—
1314	D₄	—	316	8	no	—
1315	D₄	—	316	4	no	—
1316	D₄	—	316	8	no	—
1317	D₄	—	316	4	no	—
1318	D₄	—	316	8	no	—
1319	D₄	—	316	8	no	—
1320	D₄	—	316	8	no	—
1321	D₄	—	316	8	no	—
1322	D₄	—	316	8	no	—
1323	D₄	—	316	4	no	—
1324	D₄	—	316	4	no	—
1325	D₄	—	158	8	no	—
1326	D₄	—	158	16	no	—
1327	D₄	—	158	8	no	—
1328	D₄	—	158	8	no	—
1329	D₄	—	158	8	no	—
1330	C₂×C₄	—	2	4	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	8	no	—
1337	C₂×C₄	—	2	8	no	—
1338	C₂×C₄	—	2	8	no	—
1339	C₂×C₄	—	4	8	no	—
1340	C₂×C₄	—	4	8	no	—
1341	C₂×C₄	—	316	8	no	—
1342	C₂×C₄	—	316	8	no	—
1343	C₂×C₄	—	316	8	no	—
1344	C₂×C₄	—	316	8	no	—
1345	C₂×C₄	—	316	4	no	—
1346	C₂×C₄	—	79	4	no	—
1347	C₂×C₄	—	79	2	no	—
1348	C₂×C₄	—	79	4	no	—
1349	C₂×C₄	—	79	2	no	—
1350	C₂×C₄	—	79	2	no	—
1351	C₂×C₄	—	79	2	no	—
1352	C₂×C₄	—	79	2	no	—
1353	C₂×C₄	—	79	4	no	—
1354	C₂×C₄	—	79	2	no	—
1355	C₂×C₄	—	158	16	no	—
1356	C₂×C₄	—	158	8	no	—
1357	C₂×C₄	—	158	2	no	—
1358	C₂×C₄	—	158	4	no	—
1359	C₂×C₄	—	158	2	no	—
1360	C₂×C₄	—	158	2	no	—
1361	C₂×C₄	—	158	2	no	—
1362	C₂×C₄	—	158	2	no	—
1363	C₂×C₄	—	158	4	no	—
1364	C₂×C₄	—	158	8	no	—
1365	C₂×C₄	—	158	8	no	—
1366	C₂×C₄	#14579206	1	4	yes	—
1367	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1368	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1369	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1370	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1371	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1372	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1373	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	4	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	4	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	4	4	no	—
1387	C₂²	—	4	8	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	316	8	no	—
1391	C₂²	—	316	4	no	—
1392	C₂²	—	316	8	no	—
1393	C₂²	—	316	4	no	—
1394	C₂²	—	632	16	no	—
1395	C₂²	—	632	16	no	—
1396	C₂²	—	158	2	no	—
1397	C₂²	—	158	4	no	—
1398	C₂²	—	158	4	no	—
1399	C₂²	—	158	2	no	—
1400	C₂²	—	158	4	no	—
1401	C₂²	—	158	2	no	—
1402	C₂²	—	158	2	no	—
1403	C₂²	—	158	4	no	—
1404	C₂²	—	158	2	no	—
1405	C₂²	—	158	4	no	—
1406	C₂²	—	158	4	no	—
1407	C₂²	—	158	2	no	—
1408	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1409	C₂²	C₂×#14579206	1	2	yes	—
1410	C₂²	#19099400	1	2	yes	—
1411	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1412	C₄	—	2	4	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	2	4	no	—
1418	C₄	—	79	4	no	—
1419	C₄	—	158	2	no	—
1420	C₄	—	158	4	no	—
1421	C₄	—	158	2	no	—
1422	C₄	—	158	2	no	—
1423	C₄	—	158	2	no	—
1424	C₄	—	158	2	no	—
1425	C₄	—	158	4	no	—
1426	C₄	C₂×#14579206	1	4	yes	—
1427	C₂	—	4	2	no	—
1428	C₂	—	4	4	no	—
1429	C₂	—	4	2	no	—
1430	C₂	—	4	2	no	—
1431	C₂	—	316	4	no	—
1432	C₂	—	316	2	no	—
1433	C₂	—	316	4	no	—
1434	C₂	—	316	2	no	—
1435	C₂	#23777762	1	4	yes	direct product factor
1436	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1437	C₂	C₂²×#14579206	1	1	yes	characteristic
1438	C₂	C₂×#19099400	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#537×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#537	D₇₉
hypocenter	C₇₉	C₂×#3546
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#537

Complements

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

N	H ≅ G/N	type
1. #23777762	C₂	direct (N × H)
2. C₂×#19099301	C₂	semidirect
3. C₂×#19099301	C₂	semidirect
4. C₂×#19099284	C₂	semidirect
5. C₂×#19099261	C₂	semidirect
6. C₂×#19099260	C₂	semidirect
7. C₂×#19099232	C₂	semidirect
8. C₂×#19099231	C₂	semidirect
9. C₂×#19099214	C₂	semidirect
10. C₂×#19099204	C₂	semidirect
11. C₂×#19099202	C₂	semidirect
12. C₂×#19099201	C₂	semidirect
13. C₂×#19099197	C₂	semidirect
14. C₂×#19099183	C₂	semidirect
15. C₂×#19099153	C₂	semidirect
16. C₂×#19099145	C₂	semidirect
17. C₂×#19099143	C₂	semidirect
18. C₂×#19099129	C₂	semidirect
19. C₂×#19099129	C₂	semidirect
20. C₂×#19099127	C₂	semidirect
21. C₂×#19099109	C₂	semidirect
22. C₂×#19099108	C₂	semidirect
23. C₂×#19099099	C₂	semidirect
24. C₂×#537×C₇₉	C₂	semidirect
25. C₂²×#11929625	C₂²	semidirect
26. C₂²×#11929624	C₂²	semidirect
27. C₂²×#11929624	C₂²	semidirect
28. C₂²×#11929623	C₂²	semidirect
32. #19099301	C₂²	semidirect
33. #19099301	C₂²	semidirect
34. #19099284	C₂²	semidirect
35. #19099261	C₂²	semidirect
36. #19099260	C₂²	semidirect
37. #19099232	C₂²	semidirect
38. #19099231	C₂²	semidirect
39. #19099214	C₂²	semidirect
40. #19099204	C₂²	semidirect
41. #19099202	C₂²	semidirect
42. #19099201	C₂²	semidirect
43. #19099197	C₂²	semidirect
44. #19099183	C₂²	semidirect
45. #19099153	C₂²	semidirect
46. #19099145	C₂²	semidirect
47. #19099143	C₂²	semidirect
48. #19099129	C₂²	semidirect
49. #19099129	C₂²	semidirect
50. #19099127	C₂²	semidirect
51. #19099109	C₂²	semidirect
52. #19099108	C₂²	semidirect
53. C₂×#14579160	C₂²	semidirect
54. C₂×#14579159	C₂²	semidirect
57. C₂×#14579157	C₂²	semidirect
58. C₂×#14579157	C₂²	semidirect
59. C₂×#14579157	C₂²	semidirect
60. #19099099	C₂²	semidirect
61. C₂×#14579156	C₂²	semidirect
62. C₂×#14579156	C₂²	semidirect
63. C₂×#14579156	C₂²	semidirect
64. C₂×#14579154	C₂²	semidirect
65. C₂×#14579154	C₂²	semidirect
66. C₂×#14579152	C₂²	semidirect
68. C₂×#14579150	C₂²	semidirect
69. C₂×#14579150	C₂²	semidirect
70. C₂×#14579148	C₂²	semidirect
72. C₂×#14579147	C₂²	semidirect
73. C₂×#14579147	C₂²	semidirect
74. C₂×#14579146	C₂²	semidirect
75. C₂×#14579146	C₂²	semidirect
76. C₂×#14579146	C₂²	semidirect
77. C₂×#14579145	C₂²	semidirect
78. C₂×#14579144	C₂²	semidirect
79. C₂×#14579144	C₂²	semidirect
80. C₂×#14579142	C₂²	semidirect
81. C₂×#14579139	C₂²	semidirect
82. C₂×#14579139	C₂²	semidirect
83. C₂×#14579137	C₂²	semidirect
86. C₂×#14579136	C₂²	semidirect
87. C₂×#14579136	C₂²	semidirect
90. C₂×#14579135	C₂²	semidirect
91. C₂×#14579135	C₂²	semidirect
92. C₂×#14579135	C₂²	semidirect
93. C₂×#14579135	C₂²	semidirect
95. C₂×#14579134	C₂²	semidirect
96. C₂×#14579134	C₂²	semidirect
98. C₂×#14579133	C₂²	semidirect
99. C₂×#14579133	C₂²	semidirect
100. C₂×#14579133	C₂²	semidirect
101. C₂×#14579133	C₂²	semidirect
102. C₂×#14579133	C₂²	semidirect
103. C₂×#14579132	C₂²	semidirect
104. C₂×#14579132	C₂²	semidirect
105. C₂×#14579132	C₂²	semidirect
107. C₂×#14579131	C₂²	semidirect
108. C₂×#14579131	C₂²	semidirect
110. C₂×#14579129	C₂²	semidirect
111. C₂×#14579129	C₂²	semidirect
112. C₂×#14579129	C₂²	semidirect
113. C₂×#14579129	C₂²	semidirect
114. C₂×Q₈×Dic₇₉	C₂²	semidirect
115. C₂×#14579126	C₂²	semidirect
116. C₂×D₄×Dic₇₉	C₂²	semidirect
118. C₂×#14579123	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
122. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
125. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
126. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
127. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
128. C₂×#14579120	C₂²	semidirect
129. C₂×#14579119	C₂²	semidirect
130. C₂×#14579119	C₂²	semidirect
131. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
132. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
134. C₂²×C₄×Dic₇₉	C₂²	semidirect
135. C₂²×#41×C₇₉	C₂²	semidirect
136. C₂²×#41×C₇₉	C₂²	semidirect
137. #537×C₇₉	C₂²	semidirect
138. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
139. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
142. C₂×#121×C₇₉	C₂²	semidirect
143. C₂×#121×C₇₉	C₂²	semidirect
144. C₂×#121×C₇₉	C₂²	semidirect
145. C₂×#121×C₇₉	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
150. C₂×#11929625	C₂³	semidirect
153. C₂×#11929624	C₂³	semidirect
154. C₂×#11929624	C₂³	semidirect
156. C₂×#11929623	C₂³	semidirect
195. #14579160	C₂³	semidirect
196. #14579159	C₂³	semidirect
199. #14579157	C₂³	semidirect
200. #14579157	C₂³	semidirect
201. #14579157	C₂³	semidirect
202. #14579156	C₂³	semidirect
203. #14579156	C₂³	semidirect
204. #14579156	C₂³	semidirect
205. #14579154	C₂³	semidirect
206. #14579154	C₂³	semidirect
207. #14579152	C₂³	semidirect
209. #14579150	C₂³	semidirect
210. #14579150	C₂³	semidirect
211. #14579148	C₂³	semidirect
213. #14579147	C₂³	semidirect
214. #14579147	C₂³	semidirect
215. #14579146	C₂³	semidirect
216. #14579146	C₂³	semidirect
217. #14579146	C₂³	semidirect
218. #14579145	C₂³	semidirect
219. #14579144	C₂³	semidirect
220. #14579144	C₂³	semidirect
221. #14579142	C₂³	semidirect
222. #14579139	C₂³	semidirect
223. #14579139	C₂³	semidirect
224. #14579137	C₂³	semidirect
227. #14579136	C₂³	semidirect
228. #14579136	C₂³	semidirect
231. #14579135	C₂³	semidirect
232. #14579135	C₂³	semidirect
233. #14579135	C₂³	semidirect
234. #14579135	C₂³	semidirect
236. #14579134	C₂³	semidirect
237. #14579134	C₂³	semidirect
239. #14579133	C₂³	semidirect
240. #14579133	C₂³	semidirect
241. #14579133	C₂³	semidirect
242. #14579133	C₂³	semidirect
243. #14579133	C₂³	semidirect
244. #14579132	C₂³	semidirect
245. #14579132	C₂³	semidirect
246. #14579132	C₂³	semidirect
248. #14579131	C₂³	semidirect
249. #14579131	C₂³	semidirect
251. #14579129	C₂³	semidirect
252. #14579129	C₂³	semidirect
253. #14579129	C₂³	semidirect
254. #14579129	C₂³	semidirect
255. Q₈×Dic₇₉	C₂³	semidirect
256. #14579126	C₂³	semidirect
257. D₄×Dic₇₉	C₂³	semidirect
259. #14579123	C₂³	semidirect
261. C₄×C₂²⋊D₇₉	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. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
269. #14579120	C₂³	semidirect
270. #14579119	C₂³	semidirect
271. #14579119	C₂³	semidirect
284. C₄⋊C₄×D₇₉	C₂³	semidirect
308. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
309. C₂²⋊C₄×D₇₉	C₂³	semidirect
317. C₂×C₄×Dic₇₉	C₂³	semidirect
320. C₂×#41×C₇₉	C₂³	semidirect
321. C₂×#41×C₇₉	C₂³	semidirect
336. C₂²⋊Q₈×C₇₉	C₂³	semidirect
337. C₂²⋊Q₈×C₇₉	C₂³	semidirect
338. C₂²⋊Q₈×C₇₉	C₂³	semidirect
340. #121×C₇₉	C₂³	semidirect
341. #121×C₇₉	C₂³	semidirect
342. #121×C₇₉	C₂³	semidirect
343. #121×C₇₉	C₂³	semidirect
349. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
712. C₂×C₇₉	#3546	semidirect
737. C₂×#537	D₇₉	semidirect
744. C₇₉	C₂×#3546	semidirect
749. C₂²×#41	C₂×D₇₉	semidirect
750. C₂²×#41	C₂×D₇₉	semidirect
770. #537	C₂×D₇₉	semidirect
807. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
808. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
809. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
833. C₂×#121	C₂×D₇₉	semidirect
834. C₂×#121	C₂×D₇₉	semidirect
835. C₂×#121	C₂×D₇₉	semidirect
836. C₂×#121	C₂×D₇₉	semidirect
863. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
879. C₂×#41	C₂²×D₇₉	semidirect
880. C₂×#41	C₂²×D₇₉	semidirect
963. C₂²⋊Q₈	C₂²×D₇₉	semidirect
964. C₂²⋊Q₈	C₂²×D₇₉	semidirect
965. C₂²⋊Q₈	C₂²×D₇₉	semidirect
989. #121	C₂²×D₇₉	semidirect
990. #121	C₂²×D₇₉	semidirect
991. #121	C₂²×D₇₉	semidirect
992. #121	C₂²×D₇₉	semidirect
1036. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1435. C₂	#23777762	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777762	2
C₂×#19099301	2
C₂×#19099284	2
C₂×#19099261	2
C₂×#19099260	2
C₂×#19099232	2
C₂×#19099231	2
C₂×#19099214	2
C₂×#19099204	2
C₂×#19099202	2
C₂×#19099201	2
C₂×#19099197	2
C₂×#19099183	2
C₂×#19099153	2
C₂×#19099145	2
C₂×#19099143	2
C₂×#19099129	2
C₂×#19099127	2
C₂×#19099109	2
C₂×#19099108	2
C₂×#19099099	2
C₂×#537×C₇₉	2
C₂×#3546	79

Subgroups — C2×#23777762 #35195901

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777762 #35195901