Subgroups — C₂×#23777429 #35196255

Order 20224.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1472 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777429	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099277	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099271	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099263	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099259	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099258	C₂	1	2	yes	maximal, complemented
7	C₂×#19099232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099210	C₂	1	2	yes	maximal, complemented
9	C₂×#19099206	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099203	C₂	1	2	yes	maximal, complemented
11	C₂×D₄×C₂²⋊D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099195	C₂	1	2	yes	maximal, complemented
13	C₂×#19099163	C₂	1	2	yes	maximal, complemented
14	C₂×#19099149	C₂	1	2	yes	maximal, complemented
15	C₂×#19099148	C₂	1	2	yes	maximal, complemented
16	C₂×#19099110	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#19099092	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#19099070	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#14579132	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#121×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099036	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#546×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	C₂³×C₂²⋊D₇₉	C₂²	1	2	yes	—
28	C₂³×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
32	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
34	#19099277	C₂²	1	16	yes	complemented
35	#19099271	C₂²	1	16	yes	complemented
36	#19099263	C₂²	1	16	yes	complemented
37	#19099259	C₂²	1	16	yes	complemented
38	#19099258	C₂²	1	32	yes	complemented
39	#19099232	C₂²	1	16	yes	complemented
40	#19099210	C₂²	1	32	yes	complemented
41	#19099206	C₂²	1	16	yes	complemented
42	#19099203	C₂²	1	32	yes	complemented
43	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
44	#19099195	C₂²	1	32	yes	complemented
45	#19099163	C₂²	1	32	yes	complemented
46	#19099149	C₂²	1	32	yes	complemented
47	#19099148	C₂²	1	32	yes	complemented
48	#19099110	C₂²	1	16	yes	complemented
49	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
50	C₂×#14579157	C₂²	1	2	yes	complemented
51	C₂×#14579157	C₂²	1	1	yes	characteristic, complemented
52	#19099092	C₂²	1	16	yes	complemented
53	C₂×#14579156	C₂²	1	2	yes	complemented
54	C₂×#14579154	C₂²	1	2	yes	complemented
55	C₂×#14579154	C₂²	1	2	yes	complemented
56	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14579151	C₂²	1	2	yes	complemented
58	C₂×#14579148	C₂²	1	2	yes	complemented
59	C₂×#14579147	C₂²	1	2	yes	complemented
60	C₂×#14579147	C₂²	1	2	yes	complemented
61	#19099076	C₂²	1	16	yes	complemented
62	#19099070	C₂²	1	16	yes	complemented
63	C₂×#14579146	C₂²	1	2	yes	complemented
64	C₂×#14579144	C₂²	1	2	yes	complemented
65	C₂×#14579143	C₂²	1	2	yes	complemented
66	C₂×#14579143	C₂²	1	2	yes	complemented
67	C₂×#14579143	C₂²	1	2	yes	complemented
68	C₂×#14579142	C₂²	1	2	yes	complemented
69	C₂×#14579141	C₂²	1	2	yes	complemented
70	C₂×#14579138	C₂²	1	2	yes	complemented
71	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579136	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14579135	C₂²	1	2	yes	complemented
76	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14579134	C₂²	1	2	yes	complemented
78	C₂×#14579134	C₂²	1	2	yes	complemented
79	C₂×#14579134	C₂²	1	2	yes	complemented
80	C₂×#14579134	C₂²	1	2	yes	complemented
81	C₂×#14579133	C₂²	1	2	yes	complemented
82	C₂×#14579133	C₂²	1	2	yes	complemented
83	C₂×#14579133	C₂²	1	2	yes	complemented
84	C₂×#14579133	C₂²	1	2	yes	complemented
85	C₂×#14579132	C₂²	1	1	yes	characteristic
86	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14579132	C₂²	1	2	yes	complemented
89	C₂×#14579132	C₂²	1	2	yes	complemented
90	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14579132	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14579132	C₂²	1	2	yes	complemented
93	C₂×#14579132	C₂²	1	16	yes	complemented
94	#121×D₇₉	C₂²	1	16	yes	complemented
95	C₂×#14579131	C₂²	1	2	yes	complemented
96	C₂×#14579131	C₂²	1	2	yes	complemented
97	C₂×#14579130	C₂²	1	2	yes	complemented
98	C₂×#14579129	C₂²	1	2	yes	complemented
99	C₂×#14579129	C₂²	1	2	yes	complemented
100	#19099036	C₂²	1	32	yes	complemented
101	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
104	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
105	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14579123	C₂²	1	2	yes	complemented
108	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
109	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
111	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
112	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
113	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
114	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
115	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
116	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
117	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
119	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
120	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
121	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
122	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14579117	C₂²	1	2	yes	complemented
125	C₂×#14579117	C₂²	1	2	yes	complemented
126	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
129	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
137	#546×C₇₉	C₂²	1	16	yes	complemented
138	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
142	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×#120×C₇₉	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	2	yes	complemented
147	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
149	C₂⁴×D₇₉	C₂³	1	2	yes	—
150	C₂×#11929625	—	4	4	no	—
151	C₂×#11929625	C₂³	1	8	yes	complemented
152	C₂×#11929624	—	4	8	no	—
153	C₂×#11929624	C₂³	1	16	yes	complemented
154	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
155	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
156	C₂²×D₃₁₆	C₂³	1	2	yes	—
157	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
158	C₂²×D₃₁₆	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₉	—	2	16	no	—
160	C₂²×C₂²⋊D₇₉	—	4	8	no	—
161	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
174	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
175	C₂×D₄×D₇₉	—	2	8	no	—
176	C₂×D₄×D₇₉	—	4	4	no	—
177	C₂×D₄×D₇₉	—	4	8	no	—
178	C₂×D₄×D₇₉	C₂³	1	8	yes	—
179	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
180	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
181	C₂³×Dic₇₉	C₂³	1	2	yes	—
182	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
183	C₂³×Dic₇₉	C₂³	1	2	yes	—
184	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₇₉	—	4	4	no	—
186	C₂²×C₄×D₇₉	—	4	4	no	—
187	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
194	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
197	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
198	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
200	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
201	#14579160	C₂³	1	8	yes	complemented
202	#14579157	C₂³	1	16	yes	complemented
203	#14579157	C₂³	1	8	yes	complemented
204	#14579156	C₂³	1	16	yes	complemented
205	#14579154	C₂³	1	16	yes	complemented
206	#14579154	C₂³	1	16	yes	complemented
207	#14579153	C₂³	1	8	yes	complemented
208	#14579151	C₂³	1	16	yes	complemented
209	#14579148	C₂³	1	16	yes	complemented
210	#14579147	C₂³	1	16	yes	complemented
211	#14579147	C₂³	1	16	yes	complemented
212	#14579146	C₂³	1	16	yes	complemented
213	#14579144	C₂³	1	16	yes	complemented
214	#14579143	C₂³	1	16	yes	complemented
215	#14579143	C₂³	1	16	yes	complemented
216	#14579143	C₂³	1	16	yes	complemented
217	#14579142	C₂³	1	16	yes	complemented
218	#14579141	C₂³	1	16	yes	complemented
219	#14579138	C₂³	1	16	yes	complemented
220	#14579137	C₂³	1	8	yes	complemented
221	#14579137	C₂³	1	8	yes	complemented
222	#14579136	C₂³	1	8	yes	complemented
223	#14579135	C₂³	1	16	yes	complemented
224	#14579135	C₂³	1	8	yes	complemented
225	#14579135	C₂³	1	8	yes	complemented
226	#14579134	C₂³	1	16	yes	complemented
227	#14579134	C₂³	1	16	yes	complemented
228	#14579134	C₂³	1	16	yes	complemented
229	#14579134	C₂³	1	16	yes	complemented
230	#14579133	C₂³	1	16	yes	complemented
231	#14579133	C₂³	1	16	yes	complemented
232	#14579133	C₂³	1	16	yes	complemented
233	#14579133	C₂³	1	16	yes	complemented
234	#14579132	C₂³	1	8	yes	—
235	#14579132	C₂³	1	16	yes	complemented
236	#14579132	C₂³	1	16	yes	complemented
237	#14579132	C₂³	1	8	yes	complemented
238	#14579132	C₂³	1	8	yes	complemented
239	#14579132	C₂³	1	16	yes	complemented
240	#14579132	C₂³	1	8	yes	complemented
241	#14579132	C₂³	1	8	yes	complemented
242	#14579131	C₂³	1	16	yes	complemented
243	#14579131	C₂³	1	16	yes	complemented
244	#14579130	C₂³	1	16	yes	complemented
245	#14579129	C₂³	1	16	yes	complemented
246	#14579129	C₂³	1	16	yes	complemented
247	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
248	C₄×D₃₁₆	C₂³	1	8	yes	complemented
249	C₄×D₃₁₆	C₂³	1	8	yes	complemented
250	D₄×Dic₇₉	C₂³	1	8	yes	complemented
251	D₄×Dic₇₉	C₂³	1	8	yes	complemented
252	#14579123	C₂³	1	8	yes	complemented
253	#14579123	C₂³	1	16	yes	complemented
254	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
255	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
256	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
257	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
258	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
259	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
260	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
261	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
262	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
263	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
264	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
265	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
266	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
267	#14579120	C₂³	1	8	yes	complemented
268	#14579119	C₂³	1	8	yes	complemented
269	#14579117	C₂³	1	16	yes	complemented
270	#14579117	C₂³	1	16	yes	complemented
271	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
276	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
277	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
278	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
282	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
283	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
284	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
285	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
286	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
287	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
288	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
293	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
296	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
297	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	complemented
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
309	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
310	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
311	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
312	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
313	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
317	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
318	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
319	C₄²×D₇₉	C₂³	1	8	yes	complemented
320	C₂⁵×C₇₉	C₂³	1	2	yes	—
321	C₂×#41×C₇₉	—	4	4	no	—
322	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
323	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₇₉	—	4	4	no	—
325	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
329	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
330	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
331	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
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	#124×C₇₉	C₂³	1	8	yes	complemented
337	#123×C₇₉	C₂³	1	16	yes	complemented
338	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
339	#121×C₇₉	C₂³	1	16	yes	complemented
340	#121×C₇₉	C₂³	1	8	yes	complemented
341	#120×C₇₉	C₂³	1	16	yes	complemented
342	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
343	C₄×D₄×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×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
351	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
352	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
354	C₂×C₂²⋊C₄×C₇₉	C₂³	1	16	yes	complemented
355	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
356	C₂³×D₇₉	—	2	4	no	—
357	C₂³×D₇₉	—	2	4	no	—
358	C₂³×D₇₉	—	2	4	no	—
359	C₂³×D₇₉	—	2	4	no	—
360	C₂³×D₇₉	—	2	8	no	—
361	C₂³×D₇₉	—	4	2	no	—
362	C₂³×D₇₉	—	4	2	no	—
363	C₂³×D₇₉	—	4	4	no	—
364	C₂³×D₇₉	—	4	4	no	—
365	C₂³×D₇₉	C₂⁴	1	2	yes	—
366	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
367	C₂³×D₇₉	C₂⁴	1	4	yes	—
368	C₂³×D₇₉	C₂⁴	1	4	yes	—
369	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
370	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
371	C₂³×D₇₉	C₂⁴	1	8	yes	—
372	#11929625	—	4	16	no	—
373	#11929624	—	4	32	no	—
374	C₂×Dic₁₅₈	—	4	4	no	—
375	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
376	C₂×D₃₁₆	—	2	4	no	—
377	C₂×D₃₁₆	—	2	8	no	—
378	C₂×D₃₁₆	—	2	4	no	—
379	C₂×D₃₁₆	—	4	4	no	—
380	C₂×D₃₁₆	C₂⁴	1	8	yes	—
381	C₂×D₃₁₆	C₂⁴	1	4	yes	—
382	C₂×D₃₁₆	C₂⁴	1	4	yes	—
383	C₂×D₃₁₆	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₇₉	—	2	4	no	—
385	C₂×C₂²⋊D₇₉	—	2	8	no	—
386	C₂×C₂²⋊D₇₉	—	2	8	no	—
387	C₂×C₂²⋊D₇₉	—	2	8	no	—
388	C₂×C₂²⋊D₇₉	—	2	8	no	—
389	C₂×C₂²⋊D₇₉	—	2	8	no	—
390	C₂×C₂²⋊D₇₉	—	2	64	no	—
391	C₂×C₂²⋊D₇₉	—	4	32	no	—
392	C₂×C₂²⋊D₇₉	—	4	4	no	—
393	C₂×C₂²⋊D₇₉	—	4	4	no	—
394	C₂×C₂²⋊D₇₉	—	4	4	no	—
395	C₂×C₂²⋊D₇₉	—	4	4	no	—
396	C₂×C₂²⋊D₇₉	—	4	4	no	—
397	C₂×C₂²⋊D₇₉	#41	1	8	yes	complemented
398	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
401	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
410	D₄×D₇₉	—	2	32	no	—
411	D₄×D₇₉	—	4	32	no	—
412	D₄×D₇₉	—	4	16	no	—
413	C₂²×Dic₇₉	—	2	8	no	—
414	C₂²×Dic₇₉	—	4	2	no	—
415	C₂²×Dic₇₉	—	4	2	no	—
416	C₂²×Dic₇₉	—	4	4	no	—
417	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
419	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
420	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
423	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
425	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
426	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
427	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
428	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×D₇₉	—	2	4	no	—
430	C₂×C₄×D₇₉	—	2	4	no	—
431	C₂×C₄×D₇₉	—	2	4	no	—
432	C₂×C₄×D₇₉	—	2	4	no	—
433	C₂×C₄×D₇₉	—	2	4	no	—
434	C₂×C₄×D₇₉	—	4	4	no	—
435	C₂×C₄×D₇₉	—	4	4	no	—
436	C₂×C₄×D₇₉	—	4	2	no	—
437	C₂×C₄×D₇₉	—	4	2	no	—
438	C₂×C₄×D₇₉	—	4	2	no	—
439	C₂×C₄×D₇₉	—	4	2	no	—
440	C₂×C₄×D₇₉	—	4	4	no	—
441	C₂×C₄×D₇₉	—	4	16	no	—
442	C₂×C₄×D₇₉	—	4	16	no	—
443	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
444	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
445	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
446	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
447	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
448	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
449	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
450	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
452	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
453	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
454	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
455	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
456	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
457	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
458	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
459	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
460	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
461	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
462	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
463	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
464	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
465	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
466	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
469	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
470	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
486	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
489	C₄×Dic₇₉	C₂⁴	1	4	yes	—
490	C₄×Dic₇₉	C₂⁴	1	4	yes	—
491	C₄×Dic₇₉	C₂⁴	1	4	yes	—
492	C₄×Dic₇₉	C₂⁴	1	8	yes	—
493	C₄×Dic₇₉	C₂⁴	1	8	yes	—
494	C₄×Dic₇₉	C₂⁴	1	8	yes	—
495	C₂⁴×C₇₉	—	2	8	no	—
496	C₂⁴×C₇₉	—	4	4	no	—
497	C₂⁴×C₇₉	—	4	4	no	—
498	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
499	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
500	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
501	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
502	C₂⁴×C₇₉	C₂⁴	1	8	yes	—
503	#41×C₇₉	—	4	16	no	—
504	C₂×Q₈×C₇₉	—	2	4	no	—
505	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
506	C₂×D₄×C₇₉	—	2	4	no	—
507	C₂×D₄×C₇₉	—	2	4	no	—
508	C₂×D₄×C₇₉	—	2	4	no	—
509	C₂×D₄×C₇₉	—	4	16	no	—
510	C₂×D₄×C₇₉	—	4	4	no	—
511	C₂×D₄×C₇₉	—	4	4	no	—
512	C₂×D₄×C₇₉	—	4	4	no	—
513	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
514	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
515	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
516	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
517	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
518	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
519	C₂²×C₄×C₇₉	—	2	4	no	—
520	C₂²×C₄×C₇₉	—	2	4	no	—
521	C₂²×C₄×C₇₉	—	4	4	no	—
522	C₂²×C₄×C₇₉	—	4	4	no	—
523	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
524	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
530	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
531	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
532	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
533	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
534	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
535	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
536	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
537	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
538	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
539	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
540	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
541	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
542	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
543	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
544	C₄²×C₇₉	C₂⁴	1	4	yes	—
545	C₂³×C₇₉	—	2	2	no	—
546	C₂³×C₇₉	—	2	2	no	—
547	C₂³×C₇₉	—	2	4	no	—
548	C₂³×C₇₉	—	2	4	no	—
549	C₂³×C₇₉	—	2	2	no	—
550	C₂³×C₇₉	—	2	2	no	—
551	C₂³×C₇₉	—	2	4	no	—
552	C₂³×C₇₉	—	2	4	no	—
553	C₂³×C₇₉	—	2	2	no	—
554	C₂³×C₇₉	—	2	4	no	—
555	C₂³×C₇₉	—	2	4	no	—
556	C₂³×C₇₉	—	2	16	no	—
557	C₂³×C₇₉	—	4	8	no	—
558	C₂³×C₇₉	—	4	8	no	—
559	C₂³×C₇₉	—	8	16	no	—
560	C₂³×C₇₉	C₂×#41	1	4	yes	—
561	C₂³×C₇₉	C₂⁵	1	4	yes	—
562	C₂³×C₇₉	C₂⁵	1	2	yes	—
563	C₂³×C₇₉	C₂⁵	1	4	yes	—
564	C₂³×C₇₉	C₂⁵	1	2	yes	—
565	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
566	C₂²×D₇₉	—	2	2	no	—
567	C₂²×D₇₉	—	2	2	no	—
568	C₂²×D₇₉	—	2	2	no	—
569	C₂²×D₇₉	—	2	2	no	—
570	C₂²×D₇₉	—	2	8	no	—
571	C₂²×D₇₉	—	2	4	no	—
572	C₂²×D₇₉	—	2	2	no	—
573	C₂²×D₇₉	—	2	2	no	—
574	C₂²×D₇₉	—	2	4	no	—
575	C₂²×D₇₉	—	2	4	no	—
576	C₂²×D₇₉	—	2	2	no	—
577	C₂²×D₇₉	—	2	8	no	—
578	C₂²×D₇₉	—	2	8	no	—
579	C₂²×D₇₉	—	2	8	no	—
580	C₂²×D₇₉	—	2	16	no	—
581	C₂²×D₇₉	—	4	4	no	—
582	C₂²×D₇₉	—	4	4	no	—
583	C₂²×D₇₉	—	4	16	no	—
584	C₂²×D₇₉	—	4	8	no	—
585	C₂²×D₇₉	—	4	8	no	—
586	C₂²×D₇₉	—	4	16	no	—
587	C₂²×D₇₉	—	8	16	no	—
588	C₂²×D₇₉	C₂×#41	1	4	yes	—
589	C₂²×D₇₉	H(5,𝔽₂)	1	4	yes	—
590	C₂²×D₇₉	C₂⁵	1	4	yes	—
591	C₂²×D₇₉	C₂⁵	1	2	yes	—
592	C₂²×D₇₉	C₂⁵	1	2	yes	—
593	C₂²×D₇₉	C₂⁵	1	2	yes	—
594	Q₈×C₇₉	—	2	8	no	—
595	D₄×C₇₉	—	2	8	no	—
596	D₄×C₇₉	—	2	8	no	—
597	D₄×C₇₉	—	2	8	no	—
598	D₄×C₇₉	—	4	8	no	—
599	D₄×C₇₉	—	4	8	no	—
600	D₄×C₇₉	—	4	8	no	—
601	C₂×C₄×C₇₉	—	2	2	no	—
602	C₂×C₄×C₇₉	—	2	2	no	—
603	C₂×C₄×C₇₉	—	2	2	no	—
604	C₂×C₄×C₇₉	—	2	2	no	—
605	C₂×C₄×C₇₉	—	2	4	no	—
606	C₂×C₄×C₇₉	—	2	4	no	—
607	C₂×C₄×C₇₉	—	2	8	no	—
608	C₂×C₄×C₇₉	—	2	8	no	—
609	C₂×C₄×C₇₉	—	4	8	no	—
610	C₂×C₄×C₇₉	—	4	8	no	—
611	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
612	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
613	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
614	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
615	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
616	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
617	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
618	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
619	C₂²⋊D₇₉	—	2	16	no	—
620	C₂²⋊D₇₉	—	2	16	no	—
621	C₂²⋊D₇₉	—	2	16	no	—
622	C₂²⋊D₇₉	—	2	16	no	—
623	C₂²⋊D₇₉	—	2	8	no	—
624	C₂²⋊D₇₉	—	2	16	no	—
625	C₂²⋊D₇₉	—	4	8	no	—
626	C₂²⋊D₇₉	—	4	8	no	—
627	C₂²⋊D₇₉	—	4	8	no	—
628	C₂²⋊D₇₉	—	4	8	no	—
629	C₂²⋊D₇₉	—	4	8	no	—
630	C₂²⋊D₇₉	C₂×#41	1	16	yes	complemented
631	C₂×Dic₇₉	—	2	4	no	—
632	C₂×Dic₇₉	—	2	2	no	—
633	C₂×Dic₇₉	—	2	2	no	—
634	C₂×Dic₇₉	—	2	2	no	—
635	C₂×Dic₇₉	—	2	2	no	—
636	C₂×Dic₇₉	—	2	4	no	—
637	C₂×Dic₇₉	—	2	4	no	—
638	C₂×Dic₇₉	—	2	16	no	—
639	C₂×Dic₇₉	—	4	4	no	—
640	C₂×Dic₇₉	—	4	4	no	—
641	C₂×Dic₇₉	—	4	8	no	—
642	C₂×Dic₇₉	C₂×#41	1	4	yes	—
643	C₂×Dic₇₉	C₂⁵	1	4	yes	—
644	C₂×Dic₇₉	C₂⁵	1	2	yes	—
645	C₂×Dic₇₉	C₂⁵	1	2	yes	—
646	C₂×Dic₇₉	C₂⁵	1	2	yes	—
647	C₂×Dic₇₉	C₂⁵	1	4	yes	—
648	C₂×Dic₇₉	C₂⁵	1	4	yes	—
649	C₂×Dic₇₉	C₂⁵	1	2	yes	—
650	C₂×Dic₇₉	C₂⁵	1	2	yes	—
651	D₃₁₆	—	2	8	no	—
652	D₃₁₆	—	2	16	no	—
653	D₃₁₆	—	2	8	no	—
654	D₃₁₆	—	4	8	no	—
655	C₄×D₇₉	—	2	8	no	—
656	C₄×D₇₉	—	2	8	no	—
657	C₄×D₇₉	—	2	8	no	—
658	C₄×D₇₉	—	2	8	no	—
659	C₄×D₇₉	—	2	8	no	—
660	C₄×D₇₉	—	4	4	no	—
661	C₄×D₇₉	—	4	4	no	—
662	C₄×D₇₉	—	4	4	no	—
663	C₄×D₇₉	—	4	4	no	—
664	C₄×D₇₉	—	4	8	no	—
665	C₄×D₇₉	—	4	8	no	—
666	C₄×D₇₉	—	4	8	no	—
667	Dic₁₅₈	—	4	8	no	—
668	C₂²×C₇₉	—	2	2	no	—
669	C₂²×C₇₉	—	2	2	no	—
670	C₂²×C₇₉	—	2	8	no	—
671	C₂²×C₇₉	—	2	4	no	—
672	C₂²×C₇₉	—	2	2	no	—
673	C₂²×C₇₉	—	2	4	no	—
674	C₂²×C₇₉	—	2	4	no	—
675	C₂²×C₇₉	—	2	4	no	—
676	C₂²×C₇₉	—	2	2	no	—
677	C₂²×C₇₉	—	2	4	no	—
678	C₂²×C₇₉	—	2	2	no	—
679	C₂²×C₇₉	—	2	4	no	—
680	C₂²×C₇₉	—	4	4	no	—
681	C₂²×C₇₉	—	4	8	no	—
682	C₂²×C₇₉	—	4	8	no	—
683	C₂²×C₇₉	—	8	16	no	—
684	C₂²×C₇₉	C₂²×#41	1	4	yes	—
685	C₂²×C₇₉	C₂²×#41	1	2	yes	—
686	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
687	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
688	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
689	C₂×D₇₉	—	2	2	no	—
690	C₂×D₇₉	—	2	2	no	—
691	C₂×D₇₉	—	2	2	no	—
692	C₂×D₇₉	—	2	2	no	—
693	C₂×D₇₉	—	2	8	no	—
694	C₂×D₇₉	—	2	8	no	—
695	C₂×D₇₉	—	2	4	no	—
696	C₂×D₇₉	—	2	2	no	—
697	C₂×D₇₉	—	2	2	no	—
698	C₂×D₇₉	—	2	4	no	—
699	C₂×D₇₉	—	2	4	no	—
700	C₂×D₇₉	—	2	2	no	—
701	C₂×D₇₉	—	4	16	no	—
702	C₂×D₇₉	—	4	16	no	—
703	C₂×D₇₉	—	4	4	no	—
704	C₂×D₇₉	—	4	8	no	—
705	C₂×D₇₉	—	8	16	no	—
706	C₂×D₇₉	C₂²×#41	1	4	yes	—
707	C₂×D₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
708	C₄×C₇₉	—	2	2	no	—
709	C₄×C₇₉	—	2	2	no	—
710	C₄×C₇₉	—	2	2	no	—
711	C₄×C₇₉	—	2	2	no	—
712	C₄×C₇₉	—	2	4	no	—
713	C₄×C₇₉	—	2	4	no	—
714	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
715	Dic₇₉	—	2	4	no	—
716	Dic₇₉	—	2	4	no	—
717	Dic₇₉	—	2	4	no	—
718	Dic₇₉	—	2	2	no	—
719	Dic₇₉	—	2	2	no	—
720	Dic₇₉	—	2	2	no	—
721	Dic₇₉	—	2	2	no	—
722	Dic₇₉	C₂²×#41	1	4	yes	—
723	C₂×#3519	—	79	1	no	maximal, Sylow
724	C₂×C₇₉	—	2	4	no	—
725	C₂×C₇₉	—	4	2	no	—
726	C₂×C₇₉	—	4	4	no	—
727	C₂×C₇₉	—	4	4	no	—
728	C₂×C₇₉	#3519	1	4	yes	complemented
729	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
730	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
732	D₇₉	—	2	4	no	—
733	D₇₉	—	2	4	no	—
734	D₇₉	—	4	2	no	—
735	D₇₉	—	4	4	no	—
736	#3519	—	79	32	no	—
737	C₂×#555	—	79	1	no	—
738	C₂×#554	—	79	1	no	—
739	C₂×#553	—	79	2	no	—
740	C₂×#553	—	79	1	no	—
741	C₂×#553	—	79	1	no	—
742	C₂×#550	—	79	1	no	—
743	C₂×#546	—	79	1	no	—
744	C₂×#546	—	79	2	no	—
745	C₂×#546	—	79	2	no	—
746	C₂×#546	D₇₉	1	1	yes	characteristic, complemented
747	C₂×D₄²	—	79	1	no	—
748	C₂×D₄²	—	79	2	no	—
749	C₂×#540	—	79	2	no	—
750	C₂×#538	—	79	2	no	—
751	C₂×#538	—	79	2	no	—
752	C₂×#532	—	79	1	no	—
753	C₂×#529	—	79	1	no	—
754	C₂×#525	—	79	1	no	—
755	C₂×#525	—	79	1	no	—
756	C₂²×#121	—	79	1	no	—
757	C₂²×#121	—	79	1	no	—
758	C₂×#518	—	79	2	no	—
759	C₂²×C₄×D₄	—	79	1	no	—
760	C₇₉	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
761	C₂²×#41	—	79	1	no	—
762	C₂²×#41	—	79	2	no	—
763	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
764	C₂³×D₄	—	79	2	no	—
765	C₂³×D₄	—	79	2	no	—
766	C₂³×D₄	—	79	1	no	—
767	C₂³×D₄	—	79	2	no	—
768	C₂³×D₄	—	79	1	no	—
769	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
770	C₂⁴×C₄	—	79	1	no	—
771	C₂⁴×C₄	—	79	1	no	—
772	#555	—	79	16	no	—
773	#554	—	79	16	no	—
774	#553	—	79	32	no	—
775	#553	—	79	16	no	—
776	#553	—	79	16	no	—
777	#550	—	79	16	no	—
778	#546	—	79	16	no	—
779	#546	—	79	32	no	—
780	#546	—	79	32	no	—
781	#546	C₂×D₇₉	1	16	yes	complemented
782	D₄²	—	79	16	no	—
783	D₄²	—	79	32	no	—
784	#540	—	79	32	no	—
785	#538	—	79	32	no	—
786	#538	—	79	32	no	—
787	#532	—	79	16	no	—
788	C₂×C₄⋊Q₈	—	79	1	no	—
789	C₂×#127	—	79	1	no	—
790	C₂×#127	—	79	2	no	—
791	#529	—	79	16	no	—
792	C₂×#126	—	79	2	no	—
793	C₂×#126	—	79	2	no	—
794	C₂×#126	—	79	2	no	—
795	C₂×#125	—	79	2	no	—
796	C₂×#125	—	79	1	no	—
797	C₂×#124	—	79	2	no	—
798	C₂×#124	—	79	2	no	—
799	C₂×#124	—	79	2	no	—
800	C₂×#124	C₂×D₇₉	1	1	yes	characteristic, complemented
801	#525	—	79	16	no	—
802	#525	—	79	16	no	—
803	C₂×#123	—	79	2	no	—
804	C₂×#123	—	79	2	no	—
805	C₂×#123	—	79	2	no	—
806	C₂×#123	—	79	2	no	—
807	C₂×#123	—	79	2	no	—
808	C₂×#123	—	79	2	no	—
809	C₂×#123	C₂×D₇₉	1	2	yes	complemented
810	C₂×C₂²⋊Q₈	—	79	1	no	—
811	C₂×C₂²⋊Q₈	—	79	1	no	—
812	C₂×C₂²⋊Q₈	—	79	2	no	—
813	C₂×C₂²⋊Q₈	—	79	2	no	—
814	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
815	C₂×#121	—	79	1	no	—
816	C₂×#121	—	79	1	no	—
817	C₂×#121	—	79	2	no	—
818	C₂×#121	—	79	2	no	—
819	C₂×#121	—	79	2	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	2	no	—
827	C₂×#121	—	79	16	no	—
828	C₂×#121	—	79	1	no	—
829	C₂×#121	—	79	1	no	—
830	C₂×#121	—	79	2	no	—
831	C₂×#121	—	79	16	no	—
832	C₂×#121	—	79	1	no	—
833	C₂×#121	—	79	2	no	—
834	C₂×#121	—	79	2	no	—
835	C₂×#121	—	79	2	no	—
836	C₂×#121	—	79	2	no	—
837	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
838	C₂×#121	C₂×D₇₉	1	2	yes	complemented
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	C₂×D₇₉	1	2	yes	complemented
845	#518	—	79	32	no	—
846	C₂×C₄×Q₈	—	79	1	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	2	no	—
852	C₂×C₄×D₄	—	79	2	no	—
853	C₂×C₄×D₄	—	79	2	no	—
854	C₂×C₄×D₄	—	79	2	no	—
855	C₂×C₄×D₄	—	79	2	no	—
856	C₂×C₄×D₄	—	79	16	no	—
857	C₂×C₄×D₄	—	79	1	no	—
858	C₂×C₄×D₄	—	79	2	no	—
859	C₂×C₄×D₄	—	79	1	no	—
860	C₂×C₄×D₄	—	79	1	no	—
861	C₂×C₄×D₄	—	79	2	no	—
862	C₂×C₄×D₄	—	79	2	no	—
863	C₂×C₄×D₄	—	79	2	no	—
864	C₂×C₄×D₄	—	79	2	no	—
865	C₂×C₄×D₄	—	79	1	no	—
866	C₂×C₄×D₄	—	79	1	no	—
867	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
868	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
869	C₂×#117	—	79	1	no	—
870	C₂×#117	—	79	1	no	—
871	C₂×#117	—	79	2	no	—
872	C₂×#117	—	79	2	no	—
873	C₂²×C₄⋊C₄	—	79	1	no	—
874	C₂²×C₄⋊C₄	—	79	1	no	—
875	C₂²×C₄⋊C₄	—	79	1	no	—
876	C₂²×C₂²⋊C₄	—	79	2	no	—
877	C₂²×C₂²⋊C₄	—	79	1	no	—
878	C₂²×C₂²⋊C₄	—	79	1	no	—
879	C₂²×C₂²⋊C₄	—	79	2	no	—
880	C₂²×C₂²⋊C₄	—	79	2	no	—
881	C₂²×C₂²⋊C₄	C₂×D₇₉	1	2	yes	complemented
882	C₂²×C₄²	—	79	1	no	—
883	C₂⁵	—	79	2	no	—
884	C₂⁵	—	79	1	no	—
885	C₂⁵	—	79	1	no	—
886	C₂⁵	C₂²×D₇₉	1	2	yes	—
887	C₂×#41	—	4	4	no	—
888	C₂×#41	—	316	8	no	—
889	C₂×#41	—	316	4	no	—
890	C₂×#41	—	79	8	no	—
891	C₂×#41	—	79	16	no	—
892	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
893	C₂²×Q₈	—	79	2	no	—
894	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
895	C₂²×D₄	—	4	4	no	—
896	C₂²×D₄	—	316	8	no	—
897	C₂²×D₄	—	316	8	no	—
898	C₂²×D₄	—	316	4	no	—
899	C₂²×D₄	—	79	2	no	—
900	C₂²×D₄	—	79	2	no	—
901	C₂²×D₄	—	79	2	no	—
902	C₂²×D₄	—	79	2	no	—
903	C₂²×D₄	—	79	2	no	—
904	C₂²×D₄	—	79	16	no	—
905	C₂²×D₄	—	79	16	no	—
906	C₂²×D₄	—	79	8	no	—
907	C₂²×D₄	—	79	1	no	—
908	C₂²×D₄	—	79	2	no	—
909	C₂²×D₄	—	79	2	no	—
910	C₂²×D₄	—	79	1	no	—
911	C₂²×D₄	—	79	2	no	—
912	C₂²×D₄	—	79	2	no	—
913	C₂²×D₄	—	79	2	no	—
914	C₂²×D₄	—	79	16	no	—
915	C₂²×D₄	—	79	8	no	—
916	C₂²×D₄	—	79	2	no	—
917	C₂²×D₄	—	79	1	no	—
918	C₂²×D₄	—	79	2	no	—
919	C₂²×D₄	—	79	1	no	—
920	C₂²×D₄	—	158	8	no	—
921	C₂²×D₄	—	158	16	no	—
922	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
923	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
924	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
925	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
926	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
927	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
928	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
929	C₂³×C₄	—	316	4	no	—
930	C₂³×C₄	—	316	4	no	—
931	C₂³×C₄	—	79	1	no	—
932	C₂³×C₄	—	79	2	no	—
933	C₂³×C₄	—	79	1	no	—
934	C₂³×C₄	—	79	1	no	—
935	C₂³×C₄	—	79	1	no	—
936	C₂³×C₄	—	79	1	no	—
937	C₂³×C₄	—	79	2	no	—
938	C₂³×C₄	—	79	2	no	—
939	C₂³×C₄	—	79	2	no	—
940	C₂³×C₄	—	79	1	no	—
941	C₂³×C₄	—	79	8	no	—
942	C₂³×C₄	—	79	8	no	—
943	C₂³×C₄	—	79	2	no	—
944	C₂³×C₄	—	79	1	no	—
945	C₂³×C₄	—	79	1	no	—
946	C₂³×C₄	—	79	1	no	—
947	C₂³×C₄	—	79	1	no	—
948	C₂³×C₄	—	79	1	no	—
949	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
951	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
952	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
953	C₄⋊Q₈	—	79	8	no	—
954	#127	—	79	8	no	—
955	#127	—	79	16	no	—
956	#126	—	79	16	no	—
957	#126	—	79	16	no	—
958	#126	—	79	16	no	—
959	#125	—	79	16	no	—
960	#125	—	79	8	no	—
961	#124	—	79	16	no	—
962	#124	—	79	16	no	—
963	#124	—	79	16	no	—
964	#124	C₂²×D₇₉	1	8	yes	complemented
965	#123	—	79	16	no	—
966	#123	—	79	16	no	—
967	#123	—	79	16	no	—
968	#123	—	79	16	no	—
969	#123	—	79	16	no	—
970	#123	—	79	16	no	—
971	#123	C₂²×D₇₉	1	16	yes	complemented
972	C₂²⋊Q₈	—	79	8	no	—
973	C₂²⋊Q₈	—	79	8	no	—
974	C₂²⋊Q₈	—	79	16	no	—
975	C₂²⋊Q₈	—	79	16	no	—
976	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
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	8	no	—
985	#121	—	79	16	no	—
986	#121	—	79	16	no	—
987	#121	—	79	16	no	—
988	#121	—	79	16	no	—
989	#121	—	79	8	no	—
990	#121	—	79	8	no	—
991	#121	—	79	16	no	—
992	#121	—	79	8	no	—
993	#121	—	79	16	no	—
994	#121	—	79	16	no	—
995	#121	—	79	16	no	—
996	#121	—	79	16	no	—
997	#121	C₂²×D₇₉	1	8	yes	complemented
998	#121	C₂²×D₇₉	1	16	yes	complemented
999	#120	—	79	16	no	—
1000	#120	—	79	16	no	—
1001	#120	—	79	16	no	—
1002	#120	—	79	16	no	—
1003	#120	—	79	16	no	—
1004	#120	C₂²×D₇₉	1	16	yes	complemented
1005	C₄×Q₈	—	79	8	no	—
1006	C₄×D₄	—	79	8	no	—
1007	C₄×D₄	—	79	8	no	—
1008	C₄×D₄	—	79	8	no	—
1009	C₄×D₄	—	79	8	no	—
1010	C₄×D₄	—	79	16	no	—
1011	C₄×D₄	—	79	16	no	—
1012	C₄×D₄	—	79	16	no	—
1013	C₄×D₄	—	79	16	no	—
1014	C₄×D₄	—	79	16	no	—
1015	C₄×D₄	—	79	8	no	—
1016	C₄×D₄	—	79	16	no	—
1017	C₄×D₄	—	79	8	no	—
1018	C₄×D₄	—	79	8	no	—
1019	C₄×D₄	—	79	16	no	—
1020	C₄×D₄	—	79	16	no	—
1021	C₄×D₄	—	79	16	no	—
1022	C₄×D₄	—	79	16	no	—
1023	C₄×D₄	—	79	8	no	—
1024	C₄×D₄	—	79	8	no	—
1025	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1026	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1027	#117	—	79	8	no	—
1028	#117	—	79	8	no	—
1029	#117	—	79	16	no	—
1030	#117	—	79	16	no	—
1031	C₂×C₄⋊C₄	—	79	1	no	—
1032	C₂×C₄⋊C₄	—	79	1	no	—
1033	C₂×C₄⋊C₄	—	79	1	no	—
1034	C₂×C₄⋊C₄	—	79	1	no	—
1035	C₂×C₄⋊C₄	—	79	1	no	—
1036	C₂×C₄⋊C₄	—	79	2	no	—
1037	C₂×C₄⋊C₄	—	79	2	no	—
1038	C₂×C₄⋊C₄	—	79	8	no	—
1039	C₂×C₄⋊C₄	—	79	1	no	—
1040	C₂×C₄⋊C₄	—	79	2	no	—
1041	C₂×C₄⋊C₄	—	79	2	no	—
1042	C₂×C₄⋊C₄	—	79	2	no	—
1043	C₂×C₄⋊C₄	—	79	2	no	—
1044	C₂×C₄⋊C₄	—	79	2	no	—
1045	C₂×C₄⋊C₄	—	79	2	no	—
1046	C₂×C₄⋊C₄	—	79	8	no	—
1047	C₂×C₄⋊C₄	—	79	8	no	—
1048	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
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	2	no	—
1055	C₂×C₂²⋊C₄	—	79	2	no	—
1056	C₂×C₂²⋊C₄	—	79	1	no	—
1057	C₂×C₂²⋊C₄	—	79	16	no	—
1058	C₂×C₂²⋊C₄	—	79	2	no	—
1059	C₂×C₂²⋊C₄	—	79	2	no	—
1060	C₂×C₂²⋊C₄	—	79	2	no	—
1061	C₂×C₂²⋊C₄	—	79	1	no	—
1062	C₂×C₂²⋊C₄	—	79	1	no	—
1063	C₂×C₂²⋊C₄	—	79	2	no	—
1064	C₂×C₂²⋊C₄	—	79	2	no	—
1065	C₂×C₂²⋊C₄	—	79	1	no	—
1066	C₂×C₂²⋊C₄	—	79	2	no	—
1067	C₂×C₂²⋊C₄	—	79	1	no	—
1068	C₂×C₂²⋊C₄	—	79	2	no	—
1069	C₂×C₂²⋊C₄	—	79	2	no	—
1070	C₂×C₂²⋊C₄	—	79	2	no	—
1071	C₂×C₂²⋊C₄	—	79	2	no	—
1072	C₂×C₂²⋊C₄	—	79	8	no	—
1073	C₂×C₂²⋊C₄	—	79	8	no	—
1074	C₂×C₂²⋊C₄	—	79	16	no	—
1075	C₂×C₂²⋊C₄	—	79	16	no	—
1076	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1078	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1079	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1082	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1083	C₂×C₂²⋊C₄	C₂²×D₇₉	1	16	yes	complemented
1084	C₂×C₄²	—	79	1	no	—
1085	C₂×C₄²	—	79	2	no	—
1086	C₂×C₄²	—	79	2	no	—
1087	C₂×C₄²	—	79	2	no	—
1088	C₂×C₄²	—	79	1	no	—
1089	C₂×C₄²	—	79	1	no	—
1090	C₂×C₄²	—	79	8	no	—
1091	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1092	C₂⁴	—	2	8	no	—
1093	C₂⁴	—	4	4	no	—
1094	C₂⁴	—	4	4	no	—
1095	C₂⁴	—	316	2	no	—
1096	C₂⁴	—	316	2	no	—
1097	C₂⁴	—	316	4	no	—
1098	C₂⁴	—	316	4	no	—
1099	C₂⁴	—	79	8	no	—
1100	C₂⁴	—	79	4	no	—
1101	C₂⁴	—	79	4	no	—
1102	C₂⁴	—	79	1	no	—
1103	C₂⁴	—	79	1	no	—
1104	C₂⁴	—	79	2	no	—
1105	C₂⁴	—	79	1	no	—
1106	C₂⁴	—	158	4	no	—
1107	C₂⁴	—	158	4	no	—
1108	C₂⁴	—	158	4	no	—
1109	C₂⁴	—	158	8	no	—
1110	C₂⁴	—	158	4	no	—
1111	C₂⁴	C₂³×D₇₉	1	2	yes	—
1112	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1113	C₂⁴	C₂³×D₇₉	1	2	yes	—
1114	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1115	C₂⁴	C₂³×D₇₉	1	8	yes	—
1116	#41	—	4	16	no	—
1117	#41	—	316	32	no	—
1118	#41	—	316	16	no	—
1119	C₂×Q₈	—	2	4	no	—
1120	C₂×Q₈	—	316	4	no	—
1121	C₂×Q₈	—	79	8	no	—
1122	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1123	C₂×D₄	—	2	4	no	—
1124	C₂×D₄	—	2	4	no	—
1125	C₂×D₄	—	2	4	no	—
1126	C₂×D₄	—	4	16	no	—
1127	C₂×D₄	—	4	4	no	—
1128	C₂×D₄	—	4	4	no	—
1129	C₂×D₄	—	4	4	no	—
1130	C₂×D₄	—	316	4	no	—
1131	C₂×D₄	—	316	32	no	—
1132	C₂×D₄	—	316	32	no	—
1133	C₂×D₄	—	316	16	no	—
1134	C₂×D₄	—	316	4	no	—
1135	C₂×D₄	—	316	4	no	—
1136	C₂×D₄	—	316	4	no	—
1137	C₂×D₄	—	316	4	no	—
1138	C₂×D₄	—	316	4	no	—
1139	C₂×D₄	—	79	8	no	—
1140	C₂×D₄	—	79	8	no	—
1141	C₂×D₄	—	79	8	no	—
1142	C₂×D₄	—	79	8	no	—
1143	C₂×D₄	—	79	8	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	4	no	—
1149	C₂×D₄	—	79	8	no	—
1150	C₂×D₄	—	79	8	no	—
1151	C₂×D₄	—	79	8	no	—
1152	C₂×D₄	—	79	8	no	—
1153	C₂×D₄	—	79	4	no	—
1154	C₂×D₄	—	79	8	no	—
1155	C₂×D₄	—	79	4	no	—
1156	C₂×D₄	—	158	8	no	—
1157	C₂×D₄	—	158	4	no	—
1158	C₂×D₄	—	158	4	no	—
1159	C₂×D₄	—	158	8	no	—
1160	C₂×D₄	—	158	32	no	—
1161	C₂×D₄	—	158	64	no	—
1162	C₂×D₄	—	158	8	no	—
1163	C₂×D₄	—	158	8	no	—
1164	C₂×D₄	—	158	8	no	—
1165	C₂×D₄	—	158	8	no	—
1166	C₂×D₄	—	158	4	no	—
1167	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1168	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1169	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1170	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1171	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1172	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1173	C₂²×C₄	—	2	4	no	—
1174	C₂²×C₄	—	2	4	no	—
1175	C₂²×C₄	—	4	4	no	—
1176	C₂²×C₄	—	4	4	no	—
1177	C₂²×C₄	—	316	2	no	—
1178	C₂²×C₄	—	316	2	no	—
1179	C₂²×C₄	—	316	2	no	—
1180	C₂²×C₄	—	316	2	no	—
1181	C₂²×C₄	—	316	4	no	—
1182	C₂²×C₄	—	316	4	no	—
1183	C₂²×C₄	—	316	4	no	—
1184	C₂²×C₄	—	316	16	no	—
1185	C₂²×C₄	—	316	16	no	—
1186	C₂²×C₄	—	316	2	no	—
1187	C₂²×C₄	—	316	2	no	—
1188	C₂²×C₄	—	316	4	no	—
1189	C₂²×C₄	—	79	4	no	—
1190	C₂²×C₄	—	79	8	no	—
1191	C₂²×C₄	—	79	4	no	—
1192	C₂²×C₄	—	79	4	no	—
1193	C₂²×C₄	—	79	4	no	—
1194	C₂²×C₄	—	79	4	no	—
1195	C₂²×C₄	—	79	8	no	—
1196	C₂²×C₄	—	79	8	no	—
1197	C₂²×C₄	—	79	8	no	—
1198	C₂²×C₄	—	79	4	no	—
1199	C₂²×C₄	—	79	1	no	—
1200	C₂²×C₄	—	79	8	no	—
1201	C₂²×C₄	—	79	2	no	—
1202	C₂²×C₄	—	79	1	no	—
1203	C₂²×C₄	—	79	1	no	—
1204	C₂²×C₄	—	79	1	no	—
1205	C₂²×C₄	—	79	2	no	—
1206	C₂²×C₄	—	79	2	no	—
1207	C₂²×C₄	—	79	1	no	—
1208	C₂²×C₄	—	79	4	no	—
1209	C₂²×C₄	—	79	4	no	—
1210	C₂²×C₄	—	79	4	no	—
1211	C₂²×C₄	—	79	4	no	—
1212	C₂²×C₄	—	79	4	no	—
1213	C₂²×C₄	—	158	4	no	—
1214	C₂²×C₄	—	158	4	no	—
1215	C₂²×C₄	—	158	8	no	—
1216	C₂²×C₄	—	158	4	no	—
1217	C₂²×C₄	—	158	4	no	—
1218	C₂²×C₄	—	158	4	no	—
1219	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1220	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1221	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1225	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1226	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1227	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1228	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1229	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1230	C₄⋊C₄	—	79	4	no	—
1231	C₄⋊C₄	—	79	4	no	—
1232	C₄⋊C₄	—	79	8	no	—
1233	C₄⋊C₄	—	79	8	no	—
1234	C₄⋊C₄	—	79	8	no	—
1235	C₄⋊C₄	—	79	8	no	—
1236	C₄⋊C₄	—	79	8	no	—
1237	C₄⋊C₄	—	79	8	no	—
1238	C₄⋊C₄	—	79	4	no	—
1239	C₄⋊C₄	—	79	4	no	—
1240	C₄⋊C₄	—	79	4	no	—
1241	C₄⋊C₄	—	79	8	no	—
1242	C₄⋊C₄	—	79	4	no	—
1243	C₄⋊C₄	—	79	8	no	—
1244	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1245	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1246	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1247	C₂²⋊C₄	—	79	8	no	—
1248	C₂²⋊C₄	—	79	8	no	—
1249	C₂²⋊C₄	—	79	4	no	—
1250	C₂²⋊C₄	—	79	8	no	—
1251	C₂²⋊C₄	—	79	8	no	—
1252	C₂²⋊C₄	—	79	4	no	—
1253	C₂²⋊C₄	—	79	8	no	—
1254	C₂²⋊C₄	—	79	8	no	—
1255	C₂²⋊C₄	—	79	8	no	—
1256	C₂²⋊C₄	—	79	4	no	—
1257	C₂²⋊C₄	—	79	4	no	—
1258	C₂²⋊C₄	—	79	8	no	—
1259	C₂²⋊C₄	—	79	8	no	—
1260	C₂²⋊C₄	—	79	4	no	—
1261	C₂²⋊C₄	—	79	8	no	—
1262	C₂²⋊C₄	—	79	4	no	—
1263	C₂²⋊C₄	—	79	8	no	—
1264	C₂²⋊C₄	—	79	8	no	—
1265	C₂²⋊C₄	—	79	8	no	—
1266	C₂²⋊C₄	—	79	8	no	—
1267	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1268	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1269	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1270	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1271	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1272	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1273	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1274	C₄²	—	79	4	no	—
1275	C₄²	—	79	4	no	—
1276	C₄²	—	79	4	no	—
1277	C₄²	—	79	8	no	—
1278	C₄²	—	79	8	no	—
1279	C₄²	—	79	8	no	—
1280	C₄²	C₂³×D₇₉	1	4	yes	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	4	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	2	no	—
1287	C₂³	—	2	4	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	2	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	16	no	—
1293	C₂³	—	4	8	no	—
1294	C₂³	—	4	8	no	—
1295	C₂³	—	8	16	no	—
1296	C₂³	—	316	16	no	—
1297	C₂³	—	316	4	no	—
1298	C₂³	—	316	4	no	—
1299	C₂³	—	316	8	no	—
1300	C₂³	—	316	8	no	—
1301	C₂³	—	316	16	no	—
1302	C₂³	—	79	4	no	—
1303	C₂³	—	79	2	no	—
1304	C₂³	—	79	2	no	—
1305	C₂³	—	79	4	no	—
1306	C₂³	—	79	4	no	—
1307	C₂³	—	79	2	no	—
1308	C₂³	—	632	16	no	—
1309	C₂³	—	158	8	no	—
1310	C₂³	—	158	8	no	—
1311	C₂³	—	158	8	no	—
1312	C₂³	—	158	16	no	—
1313	C₂³	—	158	4	no	—
1314	C₂³	—	158	2	no	—
1315	C₂³	—	158	2	no	—
1316	C₂³	—	158	4	no	—
1317	C₂³	—	158	8	no	—
1318	C₂³	—	158	2	no	—
1319	C₂³	—	158	4	no	—
1320	C₂³	—	158	2	no	—
1321	C₂³	—	158	2	no	—
1322	C₂³	—	158	2	no	—
1323	C₂³	—	158	2	no	—
1324	C₂³	#41×D₇₉	1	4	yes	—
1325	C₂³	C₂⁴×D₇₉	1	4	yes	—
1326	C₂³	C₂⁴×D₇₉	1	2	yes	—
1327	C₂³	C₂⁴×D₇₉	1	4	yes	—
1328	C₂³	C₂⁴×D₇₉	1	2	yes	—
1329	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1330	Q₈	—	2	8	no	—
1331	Q₈	—	316	8	no	—
1332	D₄	—	2	8	no	—
1333	D₄	—	2	8	no	—
1334	D₄	—	2	8	no	—
1335	D₄	—	4	8	no	—
1336	D₄	—	4	8	no	—
1337	D₄	—	4	8	no	—
1338	D₄	—	316	8	no	—
1339	D₄	—	316	8	no	—
1340	D₄	—	316	8	no	—
1341	D₄	—	316	8	no	—
1342	D₄	—	316	8	no	—
1343	D₄	—	316	8	no	—
1344	D₄	—	79	16	no	—
1345	D₄	—	158	16	no	—
1346	D₄	—	158	8	no	—
1347	D₄	—	158	8	no	—
1348	D₄	—	158	16	no	—
1349	D₄	—	158	16	no	—
1350	D₄	—	158	16	no	—
1351	D₄	—	158	16	no	—
1352	D₄	—	158	16	no	—
1353	D₄	—	158	8	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	8	no	—
1361	C₂×C₄	—	2	8	no	—
1362	C₂×C₄	—	4	8	no	—
1363	C₂×C₄	—	4	8	no	—
1364	C₂×C₄	—	316	4	no	—
1365	C₂×C₄	—	316	4	no	—
1366	C₂×C₄	—	316	4	no	—
1367	C₂×C₄	—	316	4	no	—
1368	C₂×C₄	—	316	8	no	—
1369	C₂×C₄	—	316	8	no	—
1370	C₂×C₄	—	316	8	no	—
1371	C₂×C₄	—	316	4	no	—
1372	C₂×C₄	—	316	4	no	—
1373	C₂×C₄	—	316	8	no	—
1374	C₂×C₄	—	79	2	no	—
1375	C₂×C₄	—	79	4	no	—
1376	C₂×C₄	—	79	4	no	—
1377	C₂×C₄	—	79	2	no	—
1378	C₂×C₄	—	79	2	no	—
1379	C₂×C₄	—	79	2	no	—
1380	C₂×C₄	—	79	4	no	—
1381	C₂×C₄	—	79	4	no	—
1382	C₂×C₄	—	79	2	no	—
1383	C₂×C₄	—	158	8	no	—
1384	C₂×C₄	—	158	8	no	—
1385	C₂×C₄	—	158	16	no	—
1386	C₂×C₄	—	158	4	no	—
1387	C₂×C₄	—	158	4	no	—
1388	C₂×C₄	—	158	2	no	—
1389	C₂×C₄	—	158	2	no	—
1390	C₂×C₄	—	158	2	no	—
1391	C₂×C₄	—	158	2	no	—
1392	C₂×C₄	—	158	4	no	—
1393	C₂×C₄	—	158	8	no	—
1394	C₂×C₄	—	158	8	no	—
1395	C₂×C₄	—	158	8	no	—
1396	C₂×C₄	#14579206	1	4	yes	—
1397	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1398	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1399	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1400	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1401	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1402	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1403	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1404	C₂²	—	2	8	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	4	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	4	no	—
1410	C₂²	—	2	4	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	4	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	4	no	—
1415	C₂²	—	2	4	no	—
1416	C₂²	—	4	8	no	—
1417	C₂²	—	4	8	no	—
1418	C₂²	—	4	4	no	—
1419	C₂²	—	8	16	no	—
1420	C₂²	—	316	16	no	—
1421	C₂²	—	316	16	no	—
1422	C₂²	—	316	4	no	—
1423	C₂²	—	316	8	no	—
1424	C₂²	—	79	4	no	—
1425	C₂²	—	79	4	no	—
1426	C₂²	—	632	16	no	—
1427	C₂²	—	158	2	no	—
1428	C₂²	—	158	4	no	—
1429	C₂²	—	158	4	no	—
1430	C₂²	—	158	2	no	—
1431	C₂²	—	158	2	no	—
1432	C₂²	—	158	4	no	—
1433	C₂²	—	158	2	no	—
1434	C₂²	—	158	8	no	—
1435	C₂²	—	158	8	no	—
1436	C₂²	—	158	2	no	—
1437	C₂²	—	158	2	no	—
1438	C₂²	—	158	2	no	—
1439	C₂²	C₂×#41×D₇₉	1	4	yes	—
1440	C₂²	C₂×#41×D₇₉	1	2	yes	—
1441	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1442	C₂²	C₂×#14579206	1	2	yes	—
1443	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	2	4	no	—
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	4	no	—
1450	C₄	—	79	4	no	—
1451	C₄	—	158	4	no	—
1452	C₄	—	158	4	no	—
1453	C₄	—	158	4	no	—
1454	C₄	—	158	2	no	—
1455	C₄	—	158	2	no	—
1456	C₄	—	158	2	no	—
1457	C₄	—	158	2	no	—
1458	C₄	C₂×#14579206	1	4	yes	—
1459	C₂	—	2	4	no	—
1460	C₂	—	4	4	no	—
1461	C₂	—	4	4	no	—
1462	C₂	—	4	2	no	—
1463	C₂	—	316	2	no	—
1464	C₂	—	316	4	no	—
1465	C₂	—	158	4	no	—
1466	C₂	—	158	4	no	—
1467	C₂	#23777429	1	4	yes	direct product factor
1468	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1469	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic
1470	C₂	C₂²×#14579206	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#546×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#546	D₇₉
hypocenter	C₇₉	C₂×#3519
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #23777429	C₂	direct (N × H)
2. C₂×#19099277	C₂	semidirect
3. C₂×#19099271	C₂	semidirect
4. C₂×#19099263	C₂	semidirect
5. C₂×#19099259	C₂	semidirect
6. C₂×#19099258	C₂	semidirect
7. C₂×#19099232	C₂	semidirect
8. C₂×#19099210	C₂	semidirect
9. C₂×#19099206	C₂	semidirect
10. C₂×#19099203	C₂	semidirect
11. C₂×D₄×C₂²⋊D₇₉	C₂	semidirect
12. C₂×#19099195	C₂	semidirect
13. C₂×#19099163	C₂	semidirect
14. C₂×#19099149	C₂	semidirect
15. C₂×#19099148	C₂	semidirect
16. C₂×#19099110	C₂	semidirect
17. C₂×#19099092	C₂	semidirect
18. C₂×#19099076	C₂	semidirect
19. C₂×#19099070	C₂	semidirect
20. C₂²×#14579132	C₂	semidirect
21. C₂×#121×D₇₉	C₂	semidirect
22. C₂×#19099036	C₂	semidirect
23. C₂×C₄×D₄×D₇₉	C₂	semidirect
24. C₂×#546×C₇₉	C₂	semidirect
25. C₂²×#11929625	C₂²	semidirect
26. C₂²×#11929624	C₂²	semidirect
28. C₂³×C₂²⋊D₇₉	C₂²	semidirect
30. C₂²×D₄×D₇₉	C₂²	semidirect
31. C₂²×D₄×D₇₉	C₂²	semidirect
32. C₂³×C₄×D₇₉	C₂²	semidirect
33. C₂³×C₄×D₇₉	C₂²	semidirect
34. #19099277	C₂²	semidirect
35. #19099271	C₂²	semidirect
36. #19099263	C₂²	semidirect
37. #19099259	C₂²	semidirect
38. #19099258	C₂²	semidirect
39. #19099232	C₂²	semidirect
40. #19099210	C₂²	semidirect
41. #19099206	C₂²	semidirect
42. #19099203	C₂²	semidirect
43. D₄×C₂²⋊D₇₉	C₂²	semidirect
44. #19099195	C₂²	semidirect
45. #19099163	C₂²	semidirect
46. #19099149	C₂²	semidirect
47. #19099148	C₂²	semidirect
48. #19099110	C₂²	semidirect
49. C₂×#14579160	C₂²	semidirect
50. C₂×#14579157	C₂²	semidirect
51. C₂×#14579157	C₂²	semidirect
52. #19099092	C₂²	semidirect
53. C₂×#14579156	C₂²	semidirect
54. C₂×#14579154	C₂²	semidirect
55. C₂×#14579154	C₂²	semidirect
56. C₂×#14579153	C₂²	semidirect
57. C₂×#14579151	C₂²	semidirect
58. C₂×#14579148	C₂²	semidirect
59. C₂×#14579147	C₂²	semidirect
60. C₂×#14579147	C₂²	semidirect
61. #19099076	C₂²	semidirect
62. #19099070	C₂²	semidirect
63. C₂×#14579146	C₂²	semidirect
64. C₂×#14579144	C₂²	semidirect
65. C₂×#14579143	C₂²	semidirect
66. C₂×#14579143	C₂²	semidirect
67. C₂×#14579143	C₂²	semidirect
68. C₂×#14579142	C₂²	semidirect
69. C₂×#14579141	C₂²	semidirect
70. C₂×#14579138	C₂²	semidirect
71. C₂×#14579137	C₂²	semidirect
72. C₂×#14579137	C₂²	semidirect
73. C₂×#14579136	C₂²	semidirect
74. C₂×#14579135	C₂²	semidirect
75. C₂×#14579135	C₂²	semidirect
76. C₂×#14579135	C₂²	semidirect
77. C₂×#14579134	C₂²	semidirect
78. C₂×#14579134	C₂²	semidirect
79. C₂×#14579134	C₂²	semidirect
80. C₂×#14579134	C₂²	semidirect
81. C₂×#14579133	C₂²	semidirect
82. C₂×#14579133	C₂²	semidirect
83. C₂×#14579133	C₂²	semidirect
84. C₂×#14579133	C₂²	semidirect
86. C₂×#14579132	C₂²	semidirect
87. C₂×#14579132	C₂²	semidirect
88. C₂×#14579132	C₂²	semidirect
89. C₂×#14579132	C₂²	semidirect
90. C₂×#14579132	C₂²	semidirect
91. C₂×#14579132	C₂²	semidirect
92. C₂×#14579132	C₂²	semidirect
93. C₂×#14579132	C₂²	semidirect
94. #121×D₇₉	C₂²	semidirect
95. C₂×#14579131	C₂²	semidirect
96. C₂×#14579131	C₂²	semidirect
97. C₂×#14579130	C₂²	semidirect
98. C₂×#14579129	C₂²	semidirect
99. C₂×#14579129	C₂²	semidirect
100. #19099036	C₂²	semidirect
101. C₂×Q₈×Dic₇₉	C₂²	semidirect
102. C₂×C₄×D₃₁₆	C₂²	semidirect
103. C₂×C₄×D₃₁₆	C₂²	semidirect
104. C₂×D₄×Dic₇₉	C₂²	semidirect
105. C₂×D₄×Dic₇₉	C₂²	semidirect
106. C₂×#14579123	C₂²	semidirect
107. C₂×#14579123	C₂²	semidirect
109. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
110. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
117. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
118. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
119. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
120. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
121. C₄×D₄×D₇₉	C₂²	semidirect
122. C₂×#14579120	C₂²	semidirect
123. C₂×#14579119	C₂²	semidirect
124. C₂×#14579117	C₂²	semidirect
125. C₂×#14579117	C₂²	semidirect
126. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
129. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
135. C₂²×#41×C₇₉	C₂²	semidirect
136. C₂³×D₄×C₇₉	C₂²	semidirect
137. #546×C₇₉	C₂²	semidirect
138. C₂×#124×C₇₉	C₂²	semidirect
139. C₂×#123×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
141. C₂×#121×C₇₉	C₂²	semidirect
142. C₂×#121×C₇₉	C₂²	semidirect
143. C₂×#120×C₇₉	C₂²	semidirect
144. C₂×C₄×D₄×C₇₉	C₂²	semidirect
145. C₂×C₄×D₄×C₇₉	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
151. C₂×#11929625	C₂³	semidirect
153. C₂×#11929624	C₂³	semidirect
174. C₂²×C₂²⋊D₇₉	C₂³	semidirect
179. C₂×D₄×D₇₉	C₂³	semidirect
180. C₂×D₄×D₇₉	C₂³	semidirect
199. C₂²×C₄×D₇₉	C₂³	semidirect
200. C₂²×C₄×D₇₉	C₂³	semidirect
201. #14579160	C₂³	semidirect
202. #14579157	C₂³	semidirect
203. #14579157	C₂³	semidirect
204. #14579156	C₂³	semidirect
205. #14579154	C₂³	semidirect
206. #14579154	C₂³	semidirect
207. #14579153	C₂³	semidirect
208. #14579151	C₂³	semidirect
209. #14579148	C₂³	semidirect
210. #14579147	C₂³	semidirect
211. #14579147	C₂³	semidirect
212. #14579146	C₂³	semidirect
213. #14579144	C₂³	semidirect
214. #14579143	C₂³	semidirect
215. #14579143	C₂³	semidirect
216. #14579143	C₂³	semidirect
217. #14579142	C₂³	semidirect
218. #14579141	C₂³	semidirect
219. #14579138	C₂³	semidirect
220. #14579137	C₂³	semidirect
221. #14579137	C₂³	semidirect
222. #14579136	C₂³	semidirect
223. #14579135	C₂³	semidirect
224. #14579135	C₂³	semidirect
225. #14579135	C₂³	semidirect
226. #14579134	C₂³	semidirect
227. #14579134	C₂³	semidirect
228. #14579134	C₂³	semidirect
229. #14579134	C₂³	semidirect
230. #14579133	C₂³	semidirect
231. #14579133	C₂³	semidirect
232. #14579133	C₂³	semidirect
233. #14579133	C₂³	semidirect
235. #14579132	C₂³	semidirect
236. #14579132	C₂³	semidirect
237. #14579132	C₂³	semidirect
238. #14579132	C₂³	semidirect
239. #14579132	C₂³	semidirect
240. #14579132	C₂³	semidirect
241. #14579132	C₂³	semidirect
242. #14579131	C₂³	semidirect
243. #14579131	C₂³	semidirect
244. #14579130	C₂³	semidirect
245. #14579129	C₂³	semidirect
246. #14579129	C₂³	semidirect
247. Q₈×Dic₇₉	C₂³	semidirect
248. C₄×D₃₁₆	C₂³	semidirect
249. C₄×D₃₁₆	C₂³	semidirect
250. D₄×Dic₇₉	C₂³	semidirect
251. D₄×Dic₇₉	C₂³	semidirect
252. #14579123	C₂³	semidirect
253. #14579123	C₂³	semidirect
255. C₄×C₂²⋊D₇₉	C₂³	semidirect
256. C₄×C₂²⋊D₇₉	C₂³	semidirect
257. C₄×C₂²⋊D₇₉	C₂³	semidirect
258. C₄×C₂²⋊D₇₉	C₂³	semidirect
259. C₄×C₂²⋊D₇₉	C₂³	semidirect
260. C₄×C₂²⋊D₇₉	C₂³	semidirect
263. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
264. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
265. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
266. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
267. #14579120	C₂³	semidirect
268. #14579119	C₂³	semidirect
269. #14579117	C₂³	semidirect
270. #14579117	C₂³	semidirect
277. C₂×C₄⋊Dic₇₉	C₂³	semidirect
286. C₄⋊C₄×D₇₉	C₂³	semidirect
287. C₄⋊C₄×D₇₉	C₂³	semidirect
297. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
309. C₂²⋊C₄×D₇₉	C₂³	semidirect
310. C₂²⋊C₄×D₇₉	C₂³	semidirect
311. C₂²⋊C₄×D₇₉	C₂³	semidirect
312. C₂²⋊C₄×D₇₉	C₂³	semidirect
319. C₄²×D₇₉	C₂³	semidirect
322. C₂×#41×C₇₉	C₂³	semidirect
331. C₂²×D₄×C₇₉	C₂³	semidirect
336. #124×C₇₉	C₂³	semidirect
337. #123×C₇₉	C₂³	semidirect
338. C₂²⋊Q₈×C₇₉	C₂³	semidirect
339. #121×C₇₉	C₂³	semidirect
340. #121×C₇₉	C₂³	semidirect
341. #120×C₇₉	C₂³	semidirect
342. C₄×D₄×C₇₉	C₂³	semidirect
343. C₄×D₄×C₇₉	C₂³	semidirect
354. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
397. C₂×C₂²⋊D₇₉	#41	semidirect
630. C₂²⋊D₇₉	C₂×#41	semidirect
728. C₂×C₇₉	#3519	semidirect
746. C₂×#546	D₇₉	semidirect
760. C₇₉	C₂×#3519	semidirect
763. C₂²×#41	C₂×D₇₉	semidirect
769. C₂³×D₄	C₂×D₇₉	semidirect
781. #546	C₂×D₇₉	semidirect
800. C₂×#124	C₂×D₇₉	semidirect
809. C₂×#123	C₂×D₇₉	semidirect
814. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
837. C₂×#121	C₂×D₇₉	semidirect
838. C₂×#121	C₂×D₇₉	semidirect
844. C₂×#120	C₂×D₇₉	semidirect
867. C₂×C₄×D₄	C₂×D₇₉	semidirect
868. C₂×C₄×D₄	C₂×D₇₉	semidirect
881. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
892. C₂×#41	C₂²×D₇₉	semidirect
928. C₂²×D₄	C₂²×D₇₉	semidirect
964. #124	C₂²×D₇₉	semidirect
971. #123	C₂²×D₇₉	semidirect
976. C₂²⋊Q₈	C₂²×D₇₉	semidirect
997. #121	C₂²×D₇₉	semidirect
998. #121	C₂²×D₇₉	semidirect
1004. #120	C₂²×D₇₉	semidirect
1025. C₄×D₄	C₂²×D₇₉	semidirect
1026. C₄×D₄	C₂²×D₇₉	semidirect
1083. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1467. C₂	#23777429	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777429	2
C₂×#19099277	2
C₂×#19099271	2
C₂×#19099263	2
C₂×#19099259	2
C₂×#19099258	2
C₂×#19099232	2
C₂×#19099210	2
C₂×#19099206	2
C₂×#19099203	2
C₂×D₄×C₂²⋊D₇₉	2
C₂×#19099195	2
C₂×#19099163	2
C₂×#19099149	2
C₂×#19099148	2
C₂×#19099110	2
C₂×#19099092	2
C₂×#19099076	2
C₂×#19099070	2
C₂²×#14579132	2
C₂×#121×D₇₉	2
C₂×#19099036	2
C₂×C₄×D₄×D₇₉	2
C₂×#546×C₇₉	2
C₂×#3519	79

Subgroups — C2×#23777429 #35196255

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777429 #35196255