Subgroups — C₂×#23776962 #35195299

Order 20224.

7954 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23776962	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099285	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099276	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099272	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099262	C₂	1	2	yes	maximal, complemented
6	C₂×#19099254	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099252	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#19099246	C₂	1	2	yes	maximal, complemented
9	C₂×#19099242	C₂	1	2	yes	maximal, complemented
10	C₂×#19099237	C₂	1	2	yes	maximal, complemented
11	C₂×#19099212	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099208	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099201	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099117	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099100	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099097	C₂	1	2	yes	maximal, complemented
17	C₂×#19099097	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099093	C₂	1	2	yes	maximal, complemented
19	C₂×#19099072	C₂	1	2	yes	maximal, complemented
20	C₂×C₄×#11929624	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₄×#11929623	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#14579118	C₂	1	2	yes	maximal, complemented
24	C₂×C₄×#41×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	1	yes	characteristic
26	C₂²×#11929623	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
28	C₂³×C₄×D₇₉	C₂²	1	2	yes	—
29	#19099285	C₂²	1	16	yes	complemented
30	#19099276	C₂²	1	16	yes	complemented
31	#19099272	C₂²	1	16	yes	complemented
32	#19099262	C₂²	1	32	yes	complemented
33	#19099254	C₂²	1	16	yes	complemented
34	#19099252	C₂²	1	16	yes	complemented
35	#19099246	C₂²	1	32	yes	complemented
36	#19099242	C₂²	1	32	yes	complemented
37	#19099237	C₂²	1	32	yes	complemented
38	#19099212	C₂²	1	16	yes	complemented
39	#19099208	C₂²	1	16	yes	complemented
40	#19099201	C₂²	1	16	yes	complemented
41	#19099117	C₂²	1	16	yes	complemented
42	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
43	C₂×#14579159	C₂²	1	1	yes	characteristic, complemented
44	#19099100	C₂²	1	16	yes	complemented
45	#19099097	C₂²	1	32	yes	complemented
46	#19099097	C₂²	1	16	yes	complemented
47	#19099093	C₂²	1	32	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579155	C₂²	1	2	yes	complemented
51	C₂×#14579155	C₂²	1	2	yes	complemented
52	C₂×#14579155	C₂²	1	2	yes	complemented
53	C₂×#14579154	C₂²	1	2	yes	complemented
54	C₂×#14579153	C₂²	1	2	yes	complemented
55	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14579151	C₂²	1	2	yes	complemented
58	C₂×#14579151	C₂²	1	2	yes	complemented
59	C₂×#14579150	C₂²	1	1	yes	characteristic
60	C₂×#14579149	C₂²	1	1	yes	characteristic
61	C₂×#14579149	C₂²	1	2	yes	complemented
62	C₂×#14579147	C₂²	1	2	yes	complemented
63	#19099072	C₂²	1	32	yes	complemented
64	C₂×#14579146	C₂²	1	2	yes	—
65	C₂×#14579146	C₂²	1	2	yes	complemented
66	C₂×#14579145	C₂²	1	2	yes	—
67	C₂×#14579144	C₂²	1	2	yes	—
68	C₂×#14579144	C₂²	1	2	yes	complemented
69	C₂×#14579144	C₂²	1	2	yes	complemented
70	C₂×#14579143	C₂²	1	2	yes	—
71	C₂×#14579142	C₂²	1	2	yes	complemented
72	C₂×#14579141	C₂²	1	1	yes	characteristic
73	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14579140	C₂²	1	2	yes	complemented
75	C₂×#14579139	C₂²	1	2	yes	—
76	C₂×#14579139	C₂²	1	2	yes	complemented
77	C₂×#14579138	C₂²	1	2	yes	complemented
78	C₂×#14579138	C₂²	1	2	yes	complemented
79	C₂×#14579137	C₂²	1	1	yes	characteristic
80	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14579136	C₂²	1	1	yes	characteristic
82	C₂×#14579135	C₂²	1	1	yes	characteristic
83	C₂×#14579135	C₂²	1	2	yes	—
84	C₂×#14579134	C₂²	1	2	yes	complemented
85	C₂×#14579133	C₂²	1	2	yes	—
86	C₂×#14579133	C₂²	1	2	yes	complemented
87	C₂×#14579131	C₂²	1	2	yes	—
88	C₂×#14579129	C₂²	1	2	yes	—
89	C₄×#11929624	C₂²	1	16	yes	complemented
90	C₄×#11929623	C₂²	1	16	yes	complemented
91	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₄×Dic₁₅₈	C₂²	1	2	yes	complemented
95	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
97	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
98	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
99	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
100	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
101	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
102	C₂×#14579123	C₂²	1	1	yes	characteristic
103	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	—
104	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
105	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
106	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
107	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
110	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
111	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
112	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
113	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14579118	C₂²	1	1	yes	characteristic
116	C₂×#14579118	C₂²	1	2	yes	—
117	C₂×#14579118	C₂²	1	2	yes	—
118	C₂×#14579118	C₂²	1	2	yes	—
119	C₂×#14579118	C₂²	1	2	yes	complemented
120	C₂×#14579118	C₂²	1	2	yes	complemented
121	C₂×#14579118	C₂²	1	2	yes	complemented
122	C₂×#14579118	C₂²	1	2	yes	complemented
123	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14579118	C₂²	1	32	yes	complemented
125	C₂×#14579117	C₂²	1	2	yes	complemented
126	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
127	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
129	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
130	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
132	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	complemented
133	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic
136	C₄×#41×C₇₉	C₂²	1	16	yes	complemented
137	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
143	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
144	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₄²×C₇₉	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929624	—	2	8	no	—
149	C₂×#11929624	C₂³	1	8	yes	—
150	C₂×#11929623	—	2	8	no	—
151	C₂×#11929623	C₂³	1	8	yes	—
152	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
153	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
155	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
156	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
157	C₂²×D₃₁₆	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂×D₄×D₇₉	—	2	8	no	—
164	C₂×D₄×D₇₉	C₂³	1	8	yes	—
165	C₂³×Dic₇₉	C₂³	1	2	yes	—
166	C₂³×Dic₇₉	C₂³	1	2	yes	—
167	C₂³×Dic₇₉	C₂³	1	2	yes	—
168	C₂²×C₄×D₇₉	—	2	16	no	—
169	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
173	C₂²×C₄×D₇₉	C₂³	1	16	yes	—
174	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
175	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
176	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
179	#14579160	C₂³	1	8	yes	complemented
180	#14579159	C₂³	1	8	yes	complemented
181	#14579156	C₂³	1	16	yes	complemented
182	#14579156	C₂³	1	16	yes	complemented
183	#14579155	C₂³	1	16	yes	complemented
184	#14579155	C₂³	1	16	yes	complemented
185	#14579155	C₂³	1	16	yes	complemented
186	#14579154	C₂³	1	16	yes	complemented
187	#14579153	C₂³	1	16	yes	complemented
188	#14579153	C₂³	1	8	yes	complemented
189	#14579152	C₂³	1	8	yes	complemented
190	#14579151	C₂³	1	16	yes	complemented
191	#14579151	C₂³	1	16	yes	complemented
192	#14579150	C₂³	1	8	yes	—
193	#14579149	C₂³	1	8	yes	—
194	#14579149	C₂³	1	16	yes	complemented
195	#14579147	C₂³	1	16	yes	complemented
196	#14579146	C₂³	1	16	yes	—
197	#14579146	C₂³	1	16	yes	complemented
198	#14579145	C₂³	1	16	yes	—
199	#14579144	C₂³	1	16	yes	—
200	#14579144	C₂³	1	16	yes	complemented
201	#14579144	C₂³	1	16	yes	complemented
202	#14579143	C₂³	1	16	yes	—
203	#14579142	C₂³	1	16	yes	complemented
204	#14579141	C₂³	1	8	yes	—
205	#14579140	C₂³	1	8	yes	complemented
206	#14579140	C₂³	1	16	yes	complemented
207	#14579139	C₂³	1	16	yes	—
208	#14579139	C₂³	1	16	yes	complemented
209	#14579138	C₂³	1	16	yes	complemented
210	#14579138	C₂³	1	16	yes	complemented
211	#14579137	C₂³	1	8	yes	—
212	#14579137	C₂³	1	8	yes	complemented
213	#14579136	C₂³	1	8	yes	—
214	#14579135	C₂³	1	8	yes	—
215	#14579135	C₂³	1	16	yes	—
216	#14579134	C₂³	1	16	yes	complemented
217	#14579133	C₂³	1	16	yes	—
218	#14579133	C₂³	1	16	yes	complemented
219	#14579131	C₂³	1	16	yes	—
220	#14579129	C₂³	1	16	yes	—
221	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
222	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
223	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
224	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
225	#14579126	C₂³	1	8	yes	complemented
226	C₄×D₃₁₆	C₂³	1	8	yes	—
227	C₄×D₃₁₆	C₂³	1	8	yes	—
228	C₄×D₃₁₆	C₂³	1	8	yes	—
229	C₄×D₃₁₆	C₂³	1	16	yes	complemented
230	D₄×Dic₇₉	C₂³	1	8	yes	—
231	D₄×Dic₇₉	C₂³	1	8	yes	—
232	#14579123	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
236	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
237	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
238	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
239	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
240	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
241	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
242	#14579120	C₂³	1	8	yes	complemented
243	#14579119	C₂³	1	8	yes	complemented
244	#14579118	C₂³	1	16	yes	—
245	#14579118	C₂³	1	16	yes	—
246	#14579118	C₂³	1	8	yes	—
247	#14579118	C₂³	1	16	yes	—
248	#14579118	C₂³	1	16	yes	complemented
249	#14579118	C₂³	1	16	yes	complemented
250	#14579118	C₂³	1	16	yes	complemented
251	#14579118	C₂³	1	16	yes	complemented
252	#14579118	C₂³	1	8	yes	complemented
253	#14579117	C₂³	1	16	yes	complemented
254	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
260	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
261	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
277	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
278	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
279	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
286	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
302	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
303	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
310	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
311	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
312	C₂×C₄×Dic₇₉	C₂³	1	16	yes	complemented
313	C₄²×D₇₉	C₂³	1	8	yes	—
314	C₄²×D₇₉	C₂³	1	8	yes	complemented
315	C₂×#41×C₇₉	—	2	8	no	—
316	C₂×#41×C₇₉	C₂³	1	8	yes	—
317	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
318	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
321	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
323	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
325	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
327	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
328	C₄×D₄×C₇₉	C₂³	1	8	yes	—
329	C₄×D₄×C₇₉	C₂³	1	8	yes	—
330	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
331	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
332	#117×C₇₉	C₂³	1	16	yes	complemented
333	#117×C₇₉	C₂³	1	8	yes	complemented
334	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
338	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
341	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
343	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
347	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
348	C₂×C₄²×C₇₉	C₂³	1	16	yes	complemented
349	C₂×C₄²×C₇₉	C₂³	1	8	yes	complemented
350	C₂³×D₇₉	—	2	8	no	—
351	C₂³×D₇₉	—	2	8	no	—
352	C₂³×D₇₉	—	4	4	no	—
353	C₂³×D₇₉	C₂⁴	1	2	yes	—
354	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
355	C₂³×D₇₉	C₂⁴	1	8	yes	—
356	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
357	#11929624	—	2	32	no	—
358	#11929623	—	2	32	no	—
359	C₂×Dic₁₅₈	—	2	4	no	—
360	C₂×Dic₁₅₈	—	2	4	no	—
361	C₂×Dic₁₅₈	—	4	4	no	—
362	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
363	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
364	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
365	C₂×D₃₁₆	—	2	4	no	—
366	C₂×D₃₁₆	—	2	4	no	—
367	C₂×D₃₁₆	—	4	4	no	—
368	C₂×D₃₁₆	C₂⁴	1	4	yes	—
369	C₂×D₃₁₆	C₂⁴	1	4	yes	—
370	C₂×D₃₁₆	C₂⁴	1	8	yes	—
371	C₂×C₂²⋊D₇₉	—	2	4	no	—
372	C₂×C₂²⋊D₇₉	—	2	8	no	—
373	C₂×C₂²⋊D₇₉	—	2	8	no	—
374	C₂×C₂²⋊D₇₉	—	2	4	no	—
375	C₂×C₂²⋊D₇₉	—	4	4	no	—
376	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
377	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
378	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
379	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
381	D₄×D₇₉	—	2	32	no	—
382	C₂²×Dic₇₉	—	2	8	no	—
383	C₂²×Dic₇₉	—	2	8	no	—
384	C₂²×Dic₇₉	—	4	4	no	—
385	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
387	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
388	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
390	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
394	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
395	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
396	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×D₇₉	—	2	8	no	—
398	C₂×C₄×D₇₉	—	2	64	no	—
399	C₂×C₄×D₇₉	—	2	8	no	—
400	C₂×C₄×D₇₉	—	2	4	no	—
401	C₂×C₄×D₇₉	—	2	4	no	—
402	C₂×C₄×D₇₉	—	2	8	no	—
403	C₂×C₄×D₇₉	—	2	4	no	—
404	C₂×C₄×D₇₉	—	4	2	no	—
405	C₂×C₄×D₇₉	—	4	2	no	—
406	C₂×C₄×D₇₉	#41	1	8	yes	complemented
407	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
408	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
409	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
410	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
411	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
412	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
413	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
414	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
415	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
416	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
417	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
418	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
419	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
420	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
421	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
422	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
423	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
424	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
425	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
426	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
427	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
428	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
429	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
430	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
431	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
432	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
433	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
434	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
435	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
436	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
438	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
439	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
440	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
441	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
442	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
443	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
444	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
445	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
447	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
450	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
456	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
459	C₄×Dic₇₉	C₂⁴	1	4	yes	—
460	C₄×Dic₇₉	C₂⁴	1	4	yes	—
461	C₄×Dic₇₉	C₂⁴	1	4	yes	—
462	C₄×Dic₇₉	C₂⁴	1	4	yes	—
463	C₄×Dic₇₉	C₂⁴	1	4	yes	—
464	C₄×Dic₇₉	C₂⁴	1	4	yes	—
465	C₄×Dic₇₉	C₂⁴	1	8	yes	—
466	C₄×Dic₇₉	C₂⁴	1	8	yes	—
467	C₄×Dic₇₉	C₂⁴	1	8	yes	—
468	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
470	#41×C₇₉	—	2	32	no	—
471	C₂×Q₈×C₇₉	—	2	4	no	—
472	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
473	C₂×D₄×C₇₉	—	2	8	no	—
474	C₂×D₄×C₇₉	#41	1	8	yes	complemented
475	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
476	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
477	C₂²×C₄×C₇₉	—	2	8	no	—
478	C₂²×C₄×C₇₉	—	2	4	no	—
479	C₂²×C₄×C₇₉	—	2	4	no	—
480	C₂²×C₄×C₇₉	—	2	8	no	—
481	C₂²×C₄×C₇₉	—	4	2	no	—
482	C₂²×C₄×C₇₉	—	4	4	no	—
483	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
485	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
494	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
496	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
498	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
499	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
501	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
502	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
504	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
505	C₄²×C₇₉	C₂⁴	1	4	yes	—
506	C₄²×C₇₉	C₂⁴	1	8	yes	—
507	C₄²×C₇₉	C₂⁴	1	4	yes	—
508	C₄²×C₇₉	C₂⁴	1	4	yes	—
509	C₄²×C₇₉	C₂⁴	1	4	yes	—
510	C₄²×C₇₉	C₂⁴	1	8	yes	—
511	C₄²×C₇₉	C₂⁴	1	8	yes	—
512	C₂³×C₇₉	—	2	4	no	—
513	C₂³×C₇₉	—	2	4	no	—
514	C₂³×C₇₉	—	2	2	no	—
515	C₂³×C₇₉	—	2	2	no	—
516	C₂³×C₇₉	—	2	2	no	—
517	C₂³×C₇₉	C₂×#41	1	8	yes	—
518	C₂³×C₇₉	C₂⁵	1	2	yes	—
519	C₂³×C₇₉	C₂⁵	1	4	yes	—
520	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
521	C₂²×D₇₉	—	2	2	no	—
522	C₂²×D₇₉	—	2	2	no	—
523	C₂²×D₇₉	—	2	4	no	—
524	C₂²×D₇₉	—	2	2	no	—
525	C₂²×D₇₉	—	2	2	no	—
526	C₂²×D₇₉	—	2	16	no	—
527	C₂²×D₇₉	—	2	4	no	—
528	C₂²×D₇₉	—	2	2	no	—
529	C₂²×D₇₉	—	2	4	no	—
530	C₂²×D₇₉	—	2	16	no	—
531	C₂²×D₇₉	—	4	8	no	—
532	C₂²×D₇₉	—	4	32	no	—
533	C₂²×D₇₉	C₂×#41	1	4	yes	—
534	C₂²×D₇₉	C₂⁵	1	4	yes	—
535	C₂²×D₇₉	C₂⁵	1	2	yes	—
536	C₂²×D₇₉	C₂⁵	1	2	yes	—
537	Q₈×C₇₉	—	2	8	no	—
538	D₄×C₇₉	—	2	16	no	—
539	D₄×C₇₉	C₂×#41	1	16	yes	complemented
540	C₂×C₄×C₇₉	—	2	4	no	—
541	C₂×C₄×C₇₉	—	2	2	no	—
542	C₂×C₄×C₇₉	—	2	2	no	—
543	C₂×C₄×C₇₉	—	2	4	no	—
544	C₂×C₄×C₇₉	—	2	16	no	—
545	C₂×C₄×C₇₉	—	2	2	no	—
546	C₂×C₄×C₇₉	—	2	4	no	—
547	C₂×C₄×C₇₉	—	2	2	no	—
548	C₂×C₄×C₇₉	—	2	16	no	—
549	C₂×C₄×C₇₉	—	2	8	no	—
550	C₂×C₄×C₇₉	—	2	8	no	—
551	C₂×C₄×C₇₉	—	4	8	no	—
552	C₂×C₄×C₇₉	—	4	4	no	—
553	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
554	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
555	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
556	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
557	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
558	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
559	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
560	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
561	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
562	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
563	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
564	C₂²⋊D₇₉	—	2	16	no	—
565	C₂²⋊D₇₉	—	2	16	no	—
566	C₂²⋊D₇₉	—	2	8	no	—
567	C₂²⋊D₇₉	—	2	8	no	—
568	C₂²⋊D₇₉	—	4	8	no	—
569	C₂×Dic₇₉	—	2	4	no	—
570	C₂×Dic₇₉	—	2	2	no	—
571	C₂×Dic₇₉	—	2	2	no	—
572	C₂×Dic₇₉	—	2	2	no	—
573	C₂×Dic₇₉	—	2	4	no	—
574	C₂×Dic₇₉	—	2	16	no	—
575	C₂×Dic₇₉	—	2	2	no	—
576	C₂×Dic₇₉	—	2	2	no	—
577	C₂×Dic₇₉	—	2	4	no	—
578	C₂×Dic₇₉	—	2	16	no	—
579	C₂×Dic₇₉	—	4	8	no	—
580	C₂×Dic₇₉	C₂×#41	1	4	yes	—
581	C₂×Dic₇₉	C₂⁵	1	2	yes	—
582	C₂×Dic₇₉	C₂⁵	1	2	yes	—
583	C₂×Dic₇₉	C₂⁵	1	2	yes	—
584	C₂×Dic₇₉	C₂⁵	1	4	yes	—
585	C₂×Dic₇₉	C₂⁵	1	4	yes	—
586	C₂×Dic₇₉	C₂⁵	1	2	yes	—
587	C₂×Dic₇₉	C₂⁵	1	2	yes	—
588	C₂×Dic₇₉	C₂⁵	1	4	yes	—
589	C₂×Dic₇₉	C₂⁵	1	2	yes	—
590	D₃₁₆	—	2	8	no	—
591	D₃₁₆	—	2	8	no	—
592	D₃₁₆	—	4	8	no	—
593	C₄×D₇₉	—	2	16	no	—
594	C₄×D₇₉	—	2	16	no	—
595	C₄×D₇₉	—	2	8	no	—
596	C₄×D₇₉	—	2	8	no	—
597	C₄×D₇₉	—	2	8	no	—
598	C₄×D₇₉	—	2	16	no	—
599	C₄×D₇₉	—	4	4	no	—
600	C₄×D₇₉	—	4	4	no	—
601	C₄×D₇₉	C₂×#41	1	16	yes	complemented
602	Dic₁₅₈	—	2	8	no	—
603	Dic₁₅₈	—	2	8	no	—
604	Dic₁₅₈	—	4	8	no	—
605	C₂²×C₇₉	—	2	4	no	—
606	C₂²×C₇₉	—	2	4	no	—
607	C₂²×C₇₉	—	2	16	no	—
608	C₂²×C₇₉	—	2	2	no	—
609	C₂²×C₇₉	—	2	2	no	—
610	C₂²×C₇₉	—	2	2	no	—
611	C₂²×C₇₉	—	4	4	no	—
612	C₂²×C₇₉	C₂²×#41	1	2	yes	—
613	C₂²×C₇₉	C₂²×#41	1	8	yes	—
614	C₂²×C₇₉	C₂²×#41	1	2	yes	—
615	C₂²×C₇₉	#585	1	2	yes	—
616	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
617	C₂×D₇₉	—	2	2	no	—
618	C₂×D₇₉	—	2	2	no	—
619	C₂×D₇₉	—	2	8	no	—
620	C₂×D₇₉	—	2	2	no	—
621	C₂×D₇₉	—	2	4	no	—
622	C₂×D₇₉	—	2	2	no	—
623	C₂×D₇₉	—	2	4	no	—
624	C₂×D₇₉	—	2	4	no	—
625	C₂×D₇₉	—	2	2	no	—
626	C₂×D₇₉	—	4	32	no	—
627	C₂×D₇₉	—	4	4	no	—
628	C₂×D₇₉	—	4	8	no	—
629	C₂×D₇₉	C₂²×#41	1	4	yes	—
630	C₄×C₇₉	—	2	2	no	—
631	C₄×C₇₉	—	2	4	no	—
632	C₄×C₇₉	—	2	2	no	—
633	C₄×C₇₉	—	2	4	no	—
634	C₄×C₇₉	—	2	2	no	—
635	C₄×C₇₉	—	2	4	no	—
636	C₄×C₇₉	—	2	2	no	—
637	C₄×C₇₉	C₂²×#41	1	4	yes	—
638	C₄×C₇₉	C₂²×#41	1	4	yes	—
639	Dic₇₉	—	2	2	no	—
640	Dic₇₉	—	2	2	no	—
641	Dic₇₉	—	2	4	no	—
642	Dic₇₉	—	2	4	no	—
643	Dic₇₉	—	2	2	no	—
644	Dic₇₉	—	2	4	no	—
645	Dic₇₉	—	2	2	no	—
646	Dic₇₉	—	2	2	no	—
647	Dic₇₉	C₂²×#41	1	4	yes	—
648	C₂×#3475	—	79	1	no	maximal, Sylow
649	C₂×C₇₉	—	2	8	no	—
650	C₂×C₇₉	—	4	2	no	—
651	C₂×C₇₉	#3475	1	4	yes	complemented
652	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
653	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
654	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
655	D₇₉	—	2	4	no	—
656	D₇₉	—	4	2	no	—
657	D₇₉	—	4	4	no	—
658	#3475	—	79	32	no	—
659	C₂×#556	—	79	1	no	—
660	C₂×#555	—	79	1	no	—
661	C₂×#554	—	79	1	no	—
662	C₂×#553	—	79	2	no	—
663	C₂×#552	—	79	1	no	—
664	C₂×#552	—	79	2	no	—
665	C₂×#552	—	79	1	no	—
666	C₂×#551	—	79	2	no	—
667	C₂×#551	—	79	2	no	—
668	C₂×#547	—	79	1	no	—
669	C₂×#546	—	79	1	no	—
670	C₂×#546	—	79	1	no	—
671	C₂×#533	—	79	1	no	—
672	C₂×#529	—	79	1	no	—
673	C₂×#529	—	79	2	no	—
674	C₂×#529	—	79	1	no	—
675	C₂×#529	—	79	2	no	—
676	C₂×#525	—	79	2	no	—
677	C₂×C₄×#41	—	79	1	no	—
678	C₂×C₄×#41	—	79	1	no	—
679	C₂×C₄×#41	D₇₉	1	1	yes	characteristic, complemented
680	C₂²×C₄×D₄	—	79	1	no	—
681	C₂²×#117	—	79	2	no	—
682	C₇₉	C₂×#3475	1	1	yes	characteristic, complemented, Sylow
683	C₂²×#41	—	79	1	no	—
684	C₂²×#41	—	79	1	no	—
685	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic
686	C₂³×D₄	—	79	1	no	—
687	C₂⁴×C₄	—	79	2	no	—
688	#556	—	79	16	no	—
689	#555	—	79	16	no	—
690	#554	—	79	16	no	—
691	#553	—	79	32	no	—
692	#552	—	79	16	no	—
693	#552	—	79	32	no	—
694	#552	—	79	16	no	—
695	#551	—	79	32	no	—
696	#551	—	79	32	no	—
697	#547	—	79	16	no	—
698	#546	—	79	16	no	—
699	#546	—	79	16	no	—
700	#533	—	79	16	no	—
701	C₂×C₄⋊Q₈	—	79	1	no	—
702	C₂×C₄⋊Q₈	—	79	1	no	—
703	#529	—	79	16	no	—
704	#529	—	79	32	no	—
705	#529	—	79	32	no	—
706	#529	—	79	16	no	—
707	C₂×#126	—	79	2	no	—
708	C₂×#126	—	79	2	no	—
709	C₂×#126	—	79	2	no	—
710	C₂×#126	—	79	2	no	—
711	C₂×#126	—	79	2	no	—
712	C₂×#126	—	79	2	no	—
713	C₂×#125	—	79	2	no	—
714	C₂×#125	—	79	1	no	—
715	C₂×#125	—	79	2	no	—
716	C₂×#125	—	79	2	no	—
717	C₂×#125	—	79	1	no	—
718	C₂×#124	—	79	1	no	—
719	C₂×#124	—	79	2	no	—
720	C₂×#124	—	79	1	no	—
721	C₂×#124	—	79	2	no	—
722	#525	—	79	32	no	—
723	C₂×#123	—	79	2	no	—
724	C₂×#123	—	79	2	no	—
725	C₂×#123	—	79	2	no	—
726	C₂×#123	—	79	2	no	—
727	C₂×#123	—	79	2	no	—
728	C₂×#123	—	79	2	no	—
729	C₂×#123	—	79	2	no	—
730	C₂×#123	—	79	2	no	—
731	C₂×C₂²⋊Q₈	—	79	1	no	—
732	C₂×C₂²⋊Q₈	—	79	1	no	—
733	C₂×C₂²⋊Q₈	—	79	1	no	—
734	C₂×C₂²⋊Q₈	—	79	2	no	—
735	C₂×C₂²⋊Q₈	—	79	2	no	—
736	C₂×C₂²⋊Q₈	—	79	1	no	—
737	C₂×C₂²⋊Q₈	—	79	2	no	—
738	C₂×C₂²⋊Q₈	—	79	2	no	—
739	C₂×C₂²⋊Q₈	—	79	2	no	—
740	C₂×#121	—	79	2	no	—
741	C₂×#121	—	79	2	no	—
742	C₂×#121	—	79	2	no	—
743	C₂×#121	—	79	1	no	—
744	C₂×#121	—	79	1	no	—
745	C₂×#121	—	79	2	no	—
746	C₂×#120	—	79	2	no	—
747	C₂×#120	—	79	2	no	—
748	C₄×#41	—	79	16	no	—
749	C₄×#41	—	79	16	no	—
750	C₄×#41	C₂×D₇₉	1	16	yes	complemented
751	C₂×C₄×Q₈	—	79	1	no	—
752	C₂×C₄×Q₈	—	79	1	no	—
753	C₂×C₄×Q₈	—	79	1	no	—
754	C₂×C₄×Q₈	—	79	1	no	—
755	C₂×C₄×Q₈	—	79	2	no	—
756	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
757	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
758	C₂×C₄×D₄	—	79	1	no	—
759	C₂×C₄×D₄	—	79	1	no	—
760	C₂×C₄×D₄	—	79	2	no	—
761	C₂×C₄×D₄	—	79	2	no	—
762	C₂×C₄×D₄	—	79	1	no	—
763	C₂×C₄×D₄	—	79	1	no	—
764	C₂×C₄×D₄	—	79	1	no	—
765	C₂×C₄×D₄	—	79	1	no	—
766	C₂×C₄×D₄	—	79	2	no	—
767	C₂×C₄×D₄	—	79	16	no	—
768	C₂×C₄×D₄	—	79	1	no	—
769	C₂×C₄×D₄	—	79	2	no	—
770	C₂×C₄×D₄	—	79	2	no	—
771	C₂×C₄×D₄	—	79	1	no	—
772	C₂×C₄×D₄	—	79	1	no	—
773	C₂×C₄×D₄	—	79	1	no	—
774	C₂×C₄×D₄	—	79	2	no	—
775	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
776	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
777	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
778	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
779	C₂×#117	—	79	1	no	—
780	C₂×#117	—	79	1	no	—
781	C₂×#117	—	79	2	no	—
782	C₂×#117	—	79	1	no	—
783	C₂×#117	—	79	2	no	—
784	C₂×#117	—	79	2	no	—
785	C₂×#117	—	79	2	no	—
786	C₂×#117	—	79	2	no	—
787	C₂×#117	—	79	2	no	—
788	C₂×#117	—	79	2	no	—
789	C₂×#117	—	79	2	no	—
790	C₂×#117	—	79	1	no	—
791	C₂×#117	—	79	32	no	—
792	C₂×#117	C₂×D₇₉	1	2	yes	complemented
793	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
794	C₂²×C₄⋊C₄	—	79	2	no	—
795	C₂²×C₄⋊C₄	—	79	2	no	—
796	C₂²×C₄⋊C₄	—	79	1	no	—
797	C₂²×C₂²⋊C₄	—	79	2	no	—
798	C₂²×C₂²⋊C₄	—	79	2	no	—
799	C₂²×C₂²⋊C₄	—	79	2	no	—
800	C₂²×C₄²	—	79	2	no	—
801	C₂²×C₄²	—	79	1	no	—
802	C₂²×C₄²	—	79	1	no	—
803	C₂²×C₄²	C₂×D₇₉	1	2	yes	complemented
804	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
805	C₂⁵	—	79	2	no	—
806	C₂×#41	—	2	8	no	—
807	C₂×#41	—	79	8	no	—
808	C₂×#41	—	79	8	no	—
809	C₂×#41	—	158	8	no	—
810	C₂×#41	—	158	8	no	—
811	C₂×#41	C₂²×D₇₉	1	8	yes	—
812	C₂²×Q₈	—	79	2	no	—
813	C₂²×Q₈	—	79	1	no	—
814	C₂²×Q₈	—	79	1	no	—
815	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
816	C₂²×D₄	—	79	2	no	—
817	C₂²×D₄	—	79	1	no	—
818	C₂²×D₄	—	79	2	no	—
819	C₂²×D₄	—	79	1	no	—
820	C₂²×D₄	—	79	2	no	—
821	C₂²×D₄	—	79	8	no	—
822	C₂²×D₄	—	79	2	no	—
823	C₂²×D₄	—	79	1	no	—
824	C₂²×D₄	—	79	1	no	—
825	C₂²×D₄	—	158	8	no	—
826	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
827	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
828	C₂³×C₄	—	79	2	no	—
829	C₂³×C₄	—	79	1	no	—
830	C₂³×C₄	—	79	1	no	—
831	C₂³×C₄	—	79	1	no	—
832	C₂³×C₄	—	79	2	no	—
833	C₂³×C₄	—	79	2	no	—
834	C₂³×C₄	—	79	2	no	—
835	C₂³×C₄	—	79	1	no	—
836	C₂³×C₄	—	79	2	no	—
837	C₂³×C₄	—	79	16	no	—
838	C₂³×C₄	—	79	1	no	—
839	C₂³×C₄	—	79	2	no	—
840	C₂³×C₄	—	79	1	no	—
841	C₂³×C₄	—	158	16	no	—
842	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
843	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
844	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
845	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
846	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
847	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
848	C₄⋊Q₈	—	79	8	no	—
849	C₄⋊Q₈	—	79	8	no	—
850	#126	—	79	16	no	—
851	#126	—	79	16	no	—
852	#126	—	79	16	no	—
853	#126	—	79	16	no	—
854	#126	—	79	16	no	—
855	#126	—	79	16	no	—
856	#125	—	79	16	no	—
857	#125	—	79	8	no	—
858	#125	—	79	16	no	—
859	#125	—	79	16	no	—
860	#125	—	79	8	no	—
861	#124	—	79	8	no	—
862	#124	—	79	16	no	—
863	#124	—	79	8	no	—
864	#124	—	79	16	no	—
865	#123	—	79	16	no	—
866	#123	—	79	16	no	—
867	#123	—	79	16	no	—
868	#123	—	79	16	no	—
869	#123	—	79	16	no	—
870	#123	—	79	16	no	—
871	#123	—	79	16	no	—
872	#123	—	79	16	no	—
873	C₂²⋊Q₈	—	79	8	no	—
874	C₂²⋊Q₈	—	79	8	no	—
875	C₂²⋊Q₈	—	79	8	no	—
876	C₂²⋊Q₈	—	79	16	no	—
877	C₂²⋊Q₈	—	79	16	no	—
878	C₂²⋊Q₈	—	79	8	no	—
879	C₂²⋊Q₈	—	79	16	no	—
880	C₂²⋊Q₈	—	79	16	no	—
881	C₂²⋊Q₈	—	79	16	no	—
882	#121	—	79	16	no	—
883	#121	—	79	16	no	—
884	#121	—	79	16	no	—
885	#121	—	79	8	no	—
886	#121	—	79	8	no	—
887	#121	—	79	16	no	—
888	#120	—	79	16	no	—
889	#120	—	79	16	no	—
890	C₄×Q₈	—	79	8	no	—
891	C₄×Q₈	—	79	8	no	—
892	C₄×Q₈	—	79	8	no	—
893	C₄×Q₈	—	79	8	no	—
894	C₄×Q₈	—	79	16	no	—
895	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
896	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
897	C₄×D₄	—	79	8	no	—
898	C₄×D₄	—	79	8	no	—
899	C₄×D₄	—	79	16	no	—
900	C₄×D₄	—	79	16	no	—
901	C₄×D₄	—	79	8	no	—
902	C₄×D₄	—	79	8	no	—
903	C₄×D₄	—	79	8	no	—
904	C₄×D₄	—	79	8	no	—
905	C₄×D₄	—	79	16	no	—
906	C₄×D₄	—	79	8	no	—
907	C₄×D₄	—	79	16	no	—
908	C₄×D₄	—	79	16	no	—
909	C₄×D₄	—	79	8	no	—
910	C₄×D₄	—	79	8	no	—
911	C₄×D₄	—	79	8	no	—
912	C₄×D₄	—	79	16	no	—
913	C₄×D₄	C₂²×D₇₉	1	8	yes	—
914	C₄×D₄	C₂²×D₇₉	1	8	yes	—
915	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
916	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
917	#117	—	79	8	no	—
918	#117	—	79	8	no	—
919	#117	—	79	16	no	—
920	#117	—	79	8	no	—
921	#117	—	79	16	no	—
922	#117	—	79	16	no	—
923	#117	—	79	16	no	—
924	#117	—	79	16	no	—
925	#117	—	79	16	no	—
926	#117	—	79	16	no	—
927	#117	—	79	16	no	—
928	#117	—	79	8	no	—
929	#117	C₂²×D₇₉	1	16	yes	complemented
930	#117	C₂²×D₇₉	1	8	yes	complemented
931	C₂×C₄⋊C₄	—	79	1	no	—
932	C₂×C₄⋊C₄	—	79	1	no	—
933	C₂×C₄⋊C₄	—	79	2	no	—
934	C₂×C₄⋊C₄	—	79	2	no	—
935	C₂×C₄⋊C₄	—	79	2	no	—
936	C₂×C₄⋊C₄	—	79	2	no	—
937	C₂×C₄⋊C₄	—	79	2	no	—
938	C₂×C₄⋊C₄	—	79	2	no	—
939	C₂×C₄⋊C₄	—	79	16	no	—
940	C₂×C₄⋊C₄	—	79	16	no	—
941	C₂×C₄⋊C₄	—	79	1	no	—
942	C₂×C₄⋊C₄	—	79	2	no	—
943	C₂×C₄⋊C₄	—	79	1	no	—
944	C₂×C₄⋊C₄	—	79	1	no	—
945	C₂×C₄⋊C₄	—	79	1	no	—
946	C₂×C₄⋊C₄	—	79	2	no	—
947	C₂×C₄⋊C₄	—	79	2	no	—
948	C₂×C₄⋊C₄	—	79	1	no	—
949	C₂×C₄⋊C₄	—	79	1	no	—
950	C₂×C₄⋊C₄	—	79	2	no	—
951	C₂×C₄⋊C₄	—	79	2	no	—
952	C₂×C₄⋊C₄	—	79	2	no	—
953	C₂×C₄⋊C₄	—	79	2	no	—
954	C₂×C₄⋊C₄	—	79	2	no	—
955	C₂×C₄⋊C₄	—	79	8	no	—
956	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
959	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
960	C₂×C₂²⋊C₄	—	79	2	no	—
961	C₂×C₂²⋊C₄	—	79	2	no	—
962	C₂×C₂²⋊C₄	—	79	1	no	—
963	C₂×C₂²⋊C₄	—	79	1	no	—
964	C₂×C₂²⋊C₄	—	79	2	no	—
965	C₂×C₂²⋊C₄	—	79	1	no	—
966	C₂×C₂²⋊C₄	—	79	1	no	—
967	C₂×C₂²⋊C₄	—	79	2	no	—
968	C₂×C₂²⋊C₄	—	79	2	no	—
969	C₂×C₂²⋊C₄	—	79	2	no	—
970	C₂×C₂²⋊C₄	—	79	2	no	—
971	C₂×C₂²⋊C₄	—	79	2	no	—
972	C₂×C₂²⋊C₄	—	79	2	no	—
973	C₂×C₂²⋊C₄	—	79	16	no	—
974	C₂×C₂²⋊C₄	—	79	16	no	—
975	C₂×C₂²⋊C₄	—	79	2	no	—
976	C₂×C₂²⋊C₄	—	79	2	no	—
977	C₂×C₂²⋊C₄	—	79	1	no	—
978	C₂×C₂²⋊C₄	—	79	2	no	—
979	C₂×C₂²⋊C₄	—	79	1	no	—
980	C₂×C₂²⋊C₄	—	79	2	no	—
981	C₂×C₂²⋊C₄	—	79	2	no	—
982	C₂×C₂²⋊C₄	—	79	2	no	—
983	C₂×C₂²⋊C₄	—	79	16	no	—
984	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
985	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
986	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
987	C₂×C₄²	—	79	2	no	—
988	C₂×C₄²	—	79	1	no	—
989	C₂×C₄²	—	79	2	no	—
990	C₂×C₄²	—	79	16	no	—
991	C₂×C₄²	—	79	1	no	—
992	C₂×C₄²	—	79	1	no	—
993	C₂×C₄²	—	79	1	no	—
994	C₂×C₄²	—	79	1	no	—
995	C₂×C₄²	—	79	1	no	—
996	C₂×C₄²	—	79	2	no	—
997	C₂×C₄²	—	79	8	no	—
998	C₂×C₄²	—	79	8	no	—
999	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1000	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1001	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1002	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1005	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₇₉	1	16	yes	complemented
1007	C₂×C₄²	C₂²×D₇₉	1	8	yes	complemented
1008	C₂⁴	—	316	4	no	—
1009	C₂⁴	—	79	8	no	—
1010	C₂⁴	—	79	1	no	—
1011	C₂⁴	—	79	2	no	—
1012	C₂⁴	—	79	1	no	—
1013	C₂⁴	—	158	8	no	—
1014	C₂⁴	—	158	8	no	—
1015	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1016	C₂⁴	C₂³×D₇₉	1	2	yes	—
1017	#41	—	2	32	no	—
1018	#41	—	158	32	no	—
1019	#41	—	158	32	no	—
1020	C₂×Q₈	—	2	4	no	—
1021	C₂×Q₈	—	316	4	no	—
1022	C₂×Q₈	—	79	8	no	—
1023	C₂×Q₈	—	79	4	no	—
1024	C₂×Q₈	—	79	4	no	—
1025	C₂×Q₈	—	158	4	no	—
1026	C₂×Q₈	—	158	4	no	—
1027	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1028	C₂×D₄	—	2	8	no	—
1029	C₂×D₄	—	316	4	no	—
1030	C₂×D₄	—	316	4	no	—
1031	C₂×D₄	—	79	8	no	—
1032	C₂×D₄	—	79	4	no	—
1033	C₂×D₄	—	79	8	no	—
1034	C₂×D₄	—	79	4	no	—
1035	C₂×D₄	—	79	8	no	—
1036	C₂×D₄	—	79	8	no	—
1037	C₂×D₄	—	79	4	no	—
1038	C₂×D₄	—	79	4	no	—
1039	C₂×D₄	—	158	4	no	—
1040	C₂×D₄	—	158	4	no	—
1041	C₂×D₄	—	158	4	no	—
1042	C₂×D₄	—	158	8	no	—
1043	C₂×D₄	—	158	8	no	—
1044	C₂×D₄	—	158	32	no	—
1045	C₂×D₄	—	158	4	no	—
1046	C₂×D₄	#11929624	1	8	yes	complemented
1047	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1048	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1049	C₂²×C₄	—	2	8	no	—
1050	C₂²×C₄	—	2	8	no	—
1051	C₂²×C₄	—	2	4	no	—
1052	C₂²×C₄	—	2	4	no	—
1053	C₂²×C₄	—	4	2	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	316	2	no	—
1056	C₂²×C₄	—	316	2	no	—
1057	C₂²×C₄	—	316	4	no	—
1058	C₂²×C₄	—	79	8	no	—
1059	C₂²×C₄	—	79	4	no	—
1060	C₂²×C₄	—	79	4	no	—
1061	C₂²×C₄	—	79	1	no	—
1062	C₂²×C₄	—	79	8	no	—
1063	C₂²×C₄	—	79	4	no	—
1064	C₂²×C₄	—	79	1	no	—
1065	C₂²×C₄	—	79	1	no	—
1066	C₂²×C₄	—	79	1	no	—
1067	C₂²×C₄	—	79	2	no	—
1068	C₂²×C₄	—	79	1	no	—
1069	C₂²×C₄	—	79	2	no	—
1070	C₂²×C₄	—	79	1	no	—
1071	C₂²×C₄	—	79	8	no	—
1072	C₂²×C₄	—	79	2	no	—
1073	C₂²×C₄	—	79	8	no	—
1074	C₂²×C₄	—	79	4	no	—
1075	C₂²×C₄	—	79	4	no	—
1076	C₂²×C₄	—	79	4	no	—
1077	C₂²×C₄	—	79	8	no	—
1078	C₂²×C₄	—	79	8	no	—
1079	C₂²×C₄	—	79	8	no	—
1080	C₂²×C₄	—	158	8	no	—
1081	C₂²×C₄	—	158	64	no	—
1082	C₂²×C₄	—	158	8	no	—
1083	C₂²×C₄	—	158	8	no	—
1084	C₂²×C₄	—	158	8	no	—
1085	C₂²×C₄	—	158	8	no	—
1086	C₂²×C₄	—	158	4	no	—
1087	C₂²×C₄	—	158	4	no	—
1088	C₂²×C₄	—	158	4	no	—
1089	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1091	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1092	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1095	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1096	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1098	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1099	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1100	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1101	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1102	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1104	C₄⋊C₄	—	79	4	no	—
1105	C₄⋊C₄	—	79	4	no	—
1106	C₄⋊C₄	—	79	8	no	—
1107	C₄⋊C₄	—	79	8	no	—
1108	C₄⋊C₄	—	79	8	no	—
1109	C₄⋊C₄	—	79	8	no	—
1110	C₄⋊C₄	—	79	8	no	—
1111	C₄⋊C₄	—	79	8	no	—
1112	C₄⋊C₄	—	79	8	no	—
1113	C₄⋊C₄	—	79	4	no	—
1114	C₄⋊C₄	—	79	8	no	—
1115	C₄⋊C₄	—	79	8	no	—
1116	C₄⋊C₄	—	79	4	no	—
1117	C₄⋊C₄	—	79	8	no	—
1118	C₄⋊C₄	—	79	8	no	—
1119	C₄⋊C₄	—	79	8	no	—
1120	C₄⋊C₄	—	79	4	no	—
1121	C₄⋊C₄	—	79	4	no	—
1122	C₄⋊C₄	—	79	4	no	—
1123	C₄⋊C₄	—	79	4	no	—
1124	C₄⋊C₄	—	79	8	no	—
1125	C₄⋊C₄	—	79	8	no	—
1126	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1127	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1129	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1130	C₂²⋊C₄	—	79	8	no	—
1131	C₂²⋊C₄	—	79	8	no	—
1132	C₂²⋊C₄	—	79	4	no	—
1133	C₂²⋊C₄	—	79	4	no	—
1134	C₂²⋊C₄	—	79	8	no	—
1135	C₂²⋊C₄	—	79	4	no	—
1136	C₂²⋊C₄	—	79	4	no	—
1137	C₂²⋊C₄	—	79	8	no	—
1138	C₂²⋊C₄	—	79	8	no	—
1139	C₂²⋊C₄	—	79	8	no	—
1140	C₂²⋊C₄	—	79	8	no	—
1141	C₂²⋊C₄	—	79	8	no	—
1142	C₂²⋊C₄	—	79	8	no	—
1143	C₂²⋊C₄	—	79	8	no	—
1144	C₂²⋊C₄	—	79	8	no	—
1145	C₂²⋊C₄	—	79	4	no	—
1146	C₂²⋊C₄	—	79	8	no	—
1147	C₂²⋊C₄	—	79	4	no	—
1148	C₂²⋊C₄	—	79	8	no	—
1149	C₂²⋊C₄	—	79	8	no	—
1150	C₂²⋊C₄	—	79	8	no	—
1151	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1152	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1153	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1154	C₄²	—	79	4	no	—
1155	C₄²	—	79	8	no	—
1156	C₄²	—	79	4	no	—
1157	C₄²	—	79	8	no	—
1158	C₄²	—	79	4	no	—
1159	C₄²	—	79	8	no	—
1160	C₄²	—	79	4	no	—
1161	C₄²	—	79	4	no	—
1162	C₄²	—	79	4	no	—
1163	C₄²	C₂³×D₇₉	1	4	yes	—
1164	C₄²	C₂³×D₇₉	1	4	yes	—
1165	C₄²	C₂³×D₇₉	1	8	yes	—
1166	C₄²	C₂³×D₇₉	1	8	yes	—
1167	C₄²	C₂³×D₇₉	1	8	yes	—
1168	C₄²	C₂³×D₇₉	1	4	yes	—
1169	C₄²	C₂³×D₇₉	1	4	yes	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	2	no	—
1174	C₂³	—	2	2	no	—
1175	C₂³	—	316	32	no	—
1176	C₂³	—	316	8	no	—
1177	C₂³	—	79	2	no	—
1178	C₂³	—	79	4	no	—
1179	C₂³	—	79	4	no	—
1180	C₂³	—	79	2	no	—
1181	C₂³	—	158	16	no	—
1182	C₂³	—	158	2	no	—
1183	C₂³	—	158	4	no	—
1184	C₂³	—	158	4	no	—
1185	C₂³	—	158	2	no	—
1186	C₂³	—	158	2	no	—
1187	C₂³	—	158	16	no	—
1188	C₂³	—	158	4	no	—
1189	C₂³	—	158	2	no	—
1190	C₂³	—	158	2	no	—
1191	C₂³	C₂×#11929624	1	8	yes	—
1192	C₂³	C₂⁴×D₇₉	1	2	yes	—
1193	C₂³	C₂⁴×D₇₉	1	4	yes	—
1194	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1195	Q₈	—	2	8	no	—
1196	Q₈	—	316	8	no	—
1197	Q₈	—	158	8	no	—
1198	Q₈	—	158	8	no	—
1199	D₄	—	2	16	no	—
1200	D₄	—	316	8	no	—
1201	D₄	—	316	8	no	—
1202	D₄	—	158	8	no	—
1203	D₄	—	158	8	no	—
1204	D₄	—	158	8	no	—
1205	D₄	—	158	16	no	—
1206	D₄	—	158	16	no	—
1207	D₄	—	158	8	no	—
1208	D₄	C₂×#11929624	1	16	yes	complemented
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	4	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	16	no	—
1217	C₂×C₄	—	2	16	no	—
1218	C₂×C₄	—	2	8	no	—
1219	C₂×C₄	—	2	8	no	—
1220	C₂×C₄	—	4	4	no	—
1221	C₂×C₄	—	4	8	no	—
1222	C₂×C₄	—	316	4	no	—
1223	C₂×C₄	—	316	4	no	—
1224	C₂×C₄	—	316	8	no	—
1225	C₂×C₄	—	79	2	no	—
1226	C₂×C₄	—	79	4	no	—
1227	C₂×C₄	—	79	16	no	—
1228	C₂×C₄	—	79	2	no	—
1229	C₂×C₄	—	79	2	no	—
1230	C₂×C₄	—	79	2	no	—
1231	C₂×C₄	—	79	2	no	—
1232	C₂×C₄	—	79	4	no	—
1233	C₂×C₄	—	79	4	no	—
1234	C₂×C₄	—	79	2	no	—
1235	C₂×C₄	—	79	4	no	—
1236	C₂×C₄	—	158	16	no	—
1237	C₂×C₄	—	158	16	no	—
1238	C₂×C₄	—	158	16	no	—
1239	C₂×C₄	—	158	2	no	—
1240	C₂×C₄	—	158	4	no	—
1241	C₂×C₄	—	158	2	no	—
1242	C₂×C₄	—	158	4	no	—
1243	C₂×C₄	—	158	2	no	—
1244	C₂×C₄	—	158	2	no	—
1245	C₂×C₄	—	158	2	no	—
1246	C₂×C₄	—	158	4	no	—
1247	C₂×C₄	—	158	16	no	—
1248	C₂×C₄	—	158	16	no	—
1249	C₂×C₄	—	158	8	no	—
1250	C₂×C₄	—	158	8	no	—
1251	C₂×C₄	—	158	8	no	—
1252	C₂×C₄	#41×D₇₉	1	4	yes	—
1253	C₂×C₄	C₂×#11929624	1	4	yes	—
1254	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1255	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1257	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1258	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1259	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1262	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	16	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	4	4	no	—
1270	C₂²	—	316	32	no	—
1271	C₂²	—	316	8	no	—
1272	C₂²	—	316	4	no	—
1273	C₂²	—	79	4	no	—
1274	C₂²	—	158	4	no	—
1275	C₂²	—	158	2	no	—
1276	C₂²	—	158	2	no	—
1277	C₂²	—	158	4	no	—
1278	C₂²	—	158	2	no	—
1279	C₂²	—	158	4	no	—
1280	C₂²	—	158	2	no	—
1281	C₂²	—	158	2	no	—
1282	C₂²	—	158	8	no	—
1283	C₂²	C₂×#41×D₇₉	1	2	yes	—
1284	C₂²	C₂²×#11929624	1	8	yes	—
1285	C₂²	C₂²×#11929624	1	2	yes	—
1286	C₂²	#19099399	1	2	yes	—
1287	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1288	C₄	—	2	4	no	—
1289	C₄	—	2	2	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	4	no	—
1295	C₄	—	79	4	no	—
1296	C₄	—	158	4	no	—
1297	C₄	—	158	2	no	—
1298	C₄	—	158	2	no	—
1299	C₄	—	158	2	no	—
1300	C₄	—	158	4	no	—
1301	C₄	—	158	2	no	—
1302	C₄	—	158	4	no	—
1303	C₄	—	158	2	no	—
1304	C₄	C₂×#41×D₇₉	1	4	yes	—
1305	C₄	C₂²×#11929624	1	4	yes	—
1306	C₂	—	2	8	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	316	4	no	—
1309	C₂	—	316	2	no	—
1310	C₂	—	158	4	no	—
1311	C₂	#23776962	1	4	yes	direct product factor
1312	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1313	C₂	C₂³×#11929624	1	1	yes	characteristic
1314	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×C₄×#41×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×C₄×#41	D₇₉
hypocenter	C₇₉	C₂×#3475
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×#41

Complements

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

N	H ≅ G/N	type
1. #23776962	C₂	direct (N × H)
2. C₂×#19099285	C₂	semidirect
3. C₂×#19099276	C₂	semidirect
4. C₂×#19099272	C₂	semidirect
5. C₂×#19099262	C₂	semidirect
6. C₂×#19099254	C₂	semidirect
7. C₂×#19099252	C₂	semidirect
8. C₂×#19099246	C₂	semidirect
9. C₂×#19099242	C₂	semidirect
10. C₂×#19099237	C₂	semidirect
11. C₂×#19099212	C₂	semidirect
12. C₂×#19099208	C₂	semidirect
13. C₂×#19099201	C₂	semidirect
14. C₂×#19099117	C₂	semidirect
15. C₂×#19099100	C₂	semidirect
16. C₂×#19099097	C₂	semidirect
17. C₂×#19099097	C₂	semidirect
18. C₂×#19099093	C₂	semidirect
19. C₂×#19099072	C₂	semidirect
20. C₂×C₄×#11929624	C₂	semidirect
21. C₂×C₄×#11929623	C₂	semidirect
22. C₂×C₄×D₄×D₇₉	C₂	semidirect
23. C₂²×#14579118	C₂	semidirect
24. C₂×C₄×#41×C₇₉	C₂	semidirect
29. #19099285	C₂²	semidirect
30. #19099276	C₂²	semidirect
31. #19099272	C₂²	semidirect
32. #19099262	C₂²	semidirect
33. #19099254	C₂²	semidirect
34. #19099252	C₂²	semidirect
35. #19099246	C₂²	semidirect
36. #19099242	C₂²	semidirect
37. #19099237	C₂²	semidirect
38. #19099212	C₂²	semidirect
39. #19099208	C₂²	semidirect
40. #19099201	C₂²	semidirect
41. #19099117	C₂²	semidirect
42. C₂×#14579160	C₂²	semidirect
43. C₂×#14579159	C₂²	semidirect
44. #19099100	C₂²	semidirect
45. #19099097	C₂²	semidirect
46. #19099097	C₂²	semidirect
47. #19099093	C₂²	semidirect
48. C₂×#14579156	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579155	C₂²	semidirect
51. C₂×#14579155	C₂²	semidirect
52. C₂×#14579155	C₂²	semidirect
53. C₂×#14579154	C₂²	semidirect
54. C₂×#14579153	C₂²	semidirect
55. C₂×#14579153	C₂²	semidirect
56. C₂×#14579152	C₂²	semidirect
57. C₂×#14579151	C₂²	semidirect
58. C₂×#14579151	C₂²	semidirect
61. C₂×#14579149	C₂²	semidirect
62. C₂×#14579147	C₂²	semidirect
63. #19099072	C₂²	semidirect
65. C₂×#14579146	C₂²	semidirect
68. C₂×#14579144	C₂²	semidirect
69. C₂×#14579144	C₂²	semidirect
71. C₂×#14579142	C₂²	semidirect
73. C₂×#14579140	C₂²	semidirect
74. C₂×#14579140	C₂²	semidirect
76. C₂×#14579139	C₂²	semidirect
77. C₂×#14579138	C₂²	semidirect
78. C₂×#14579138	C₂²	semidirect
80. C₂×#14579137	C₂²	semidirect
84. C₂×#14579134	C₂²	semidirect
86. C₂×#14579133	C₂²	semidirect
89. C₄×#11929624	C₂²	semidirect
90. C₄×#11929623	C₂²	semidirect
91. C₂×C₄×Dic₁₅₈	C₂²	semidirect
92. C₂×C₄×Dic₁₅₈	C₂²	semidirect
93. C₂×C₄×Dic₁₅₈	C₂²	semidirect
94. C₂×C₄×Dic₁₅₈	C₂²	semidirect
95. C₂×#14579126	C₂²	semidirect
99. C₂×C₄×D₃₁₆	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
108. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
109. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
111. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
112. C₄×D₄×D₇₉	C₂²	semidirect
113. C₂×#14579120	C₂²	semidirect
114. C₂×#14579119	C₂²	semidirect
119. C₂×#14579118	C₂²	semidirect
120. C₂×#14579118	C₂²	semidirect
121. C₂×#14579118	C₂²	semidirect
122. C₂×#14579118	C₂²	semidirect
123. C₂×#14579118	C₂²	semidirect
124. C₂×#14579118	C₂²	semidirect
125. C₂×#14579117	C₂²	semidirect
126. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
127. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
132. C₂²×C₄×Dic₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
136. C₄×#41×C₇₉	C₂²	semidirect
137. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
138. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
141. C₂×C₄×D₄×C₇₉	C₂²	semidirect
142. C₂×C₄×D₄×C₇₉	C₂²	semidirect
143. C₂×#117×C₇₉	C₂²	semidirect
144. C₂×#117×C₇₉	C₂²	semidirect
145. C₂²×C₄²×C₇₉	C₂²	semidirect
146. C₂²×C₄²×C₇₉	C₂²	semidirect
179. #14579160	C₂³	semidirect
180. #14579159	C₂³	semidirect
181. #14579156	C₂³	semidirect
182. #14579156	C₂³	semidirect
183. #14579155	C₂³	semidirect
184. #14579155	C₂³	semidirect
185. #14579155	C₂³	semidirect
186. #14579154	C₂³	semidirect
187. #14579153	C₂³	semidirect
188. #14579153	C₂³	semidirect
189. #14579152	C₂³	semidirect
190. #14579151	C₂³	semidirect
191. #14579151	C₂³	semidirect
194. #14579149	C₂³	semidirect
195. #14579147	C₂³	semidirect
197. #14579146	C₂³	semidirect
200. #14579144	C₂³	semidirect
201. #14579144	C₂³	semidirect
203. #14579142	C₂³	semidirect
205. #14579140	C₂³	semidirect
206. #14579140	C₂³	semidirect
208. #14579139	C₂³	semidirect
209. #14579138	C₂³	semidirect
210. #14579138	C₂³	semidirect
212. #14579137	C₂³	semidirect
216. #14579134	C₂³	semidirect
218. #14579133	C₂³	semidirect
221. C₄×Dic₁₅₈	C₂³	semidirect
222. C₄×Dic₁₅₈	C₂³	semidirect
223. C₄×Dic₁₅₈	C₂³	semidirect
224. C₄×Dic₁₅₈	C₂³	semidirect
225. #14579126	C₂³	semidirect
229. C₄×D₃₁₆	C₂³	semidirect
236. C₄×C₂²⋊D₇₉	C₂³	semidirect
237. C₄×C₂²⋊D₇₉	C₂³	semidirect
238. C₄×C₂²⋊D₇₉	C₂³	semidirect
239. C₄×C₂²⋊D₇₉	C₂³	semidirect
241. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
242. #14579120	C₂³	semidirect
243. #14579119	C₂³	semidirect
248. #14579118	C₂³	semidirect
249. #14579118	C₂³	semidirect
250. #14579118	C₂³	semidirect
251. #14579118	C₂³	semidirect
252. #14579118	C₂³	semidirect
253. #14579117	C₂³	semidirect
276. C₂×Dic₇₉⋊C₄	C₂³	semidirect
277. C₂×Dic₇₉⋊C₄	C₂³	semidirect
312. C₂×C₄×Dic₇₉	C₂³	semidirect
314. C₄²×D₇₉	C₂³	semidirect
326. C₄×Q₈×C₇₉	C₂³	semidirect
327. C₄×Q₈×C₇₉	C₂³	semidirect
330. C₄×D₄×C₇₉	C₂³	semidirect
331. C₄×D₄×C₇₉	C₂³	semidirect
332. #117×C₇₉	C₂³	semidirect
333. #117×C₇₉	C₂³	semidirect
348. C₂×C₄²×C₇₉	C₂³	semidirect
349. C₂×C₄²×C₇₉	C₂³	semidirect
406. C₂×C₄×D₇₉	#41	semidirect
474. C₂×D₄×C₇₉	#41	semidirect
539. D₄×C₇₉	C₂×#41	semidirect
601. C₄×D₇₉	C₂×#41	semidirect
651. C₂×C₇₉	#3475	semidirect
679. C₂×C₄×#41	D₇₉	semidirect
682. C₇₉	C₂×#3475	semidirect
750. C₄×#41	C₂×D₇₉	semidirect
756. C₂×C₄×Q₈	C₂×D₇₉	semidirect
757. C₂×C₄×Q₈	C₂×D₇₉	semidirect
777. C₂×C₄×D₄	C₂×D₇₉	semidirect
778. C₂×C₄×D₄	C₂×D₇₉	semidirect
792. C₂×#117	C₂×D₇₉	semidirect
793. C₂×#117	C₂×D₇₉	semidirect
803. C₂²×C₄²	C₂×D₇₉	semidirect
804. C₂²×C₄²	C₂×D₇₉	semidirect
895. C₄×Q₈	C₂²×D₇₉	semidirect
896. C₄×Q₈	C₂²×D₇₉	semidirect
915. C₄×D₄	C₂²×D₇₉	semidirect
916. C₄×D₄	C₂²×D₇₉	semidirect
929. #117	C₂²×D₇₉	semidirect
930. #117	C₂²×D₇₉	semidirect
1006. C₂×C₄²	C₂²×D₇₉	semidirect
1007. C₂×C₄²	C₂²×D₇₉	semidirect
1046. C₂×D₄	#11929624	semidirect
1208. D₄	C₂×#11929624	semidirect
1311. C₂	#23776962	direct (N × H)

Maximal subgroups

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

subgroup	index
#23776962	2
C₂×#19099285	2
C₂×#19099276	2
C₂×#19099272	2
C₂×#19099262	2
C₂×#19099254	2
C₂×#19099252	2
C₂×#19099246	2
C₂×#19099242	2
C₂×#19099237	2
C₂×#19099212	2
C₂×#19099208	2
C₂×#19099201	2
C₂×#19099117	2
C₂×#19099100	2
C₂×#19099097	2
C₂×#19099093	2
C₂×#19099072	2
C₂×C₄×#11929624	2
C₂×C₄×#11929623	2
C₂×C₄×D₄×D₇₉	2
C₂²×#14579118	2
C₂×C₄×#41×C₇₉	2
C₂×#3475	79

Subgroups — C2×#23776962 #35195299

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23776962 #35195299