Subgroups — C₂×#23777988 #35195761

Order 20224.

7354 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777988	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099309	C₂	1	2	yes	maximal, complemented
3	C₂×#19099301	C₂	1	2	yes	maximal, complemented
4	C₂×#19099298	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099286	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099264	C₂	1	2	yes	maximal, complemented
7	C₂×#19099238	C₂	1	2	yes	maximal, complemented
8	C₂×#19099234	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19099222	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099222	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099218	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099209	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099209	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099175	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099168	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099165	C₂	1	2	yes	maximal, complemented
17	C₂×#19099161	C₂	1	2	yes	maximal, complemented
18	C₂×#19099149	C₂	1	2	yes	maximal, complemented
19	C₂×#19099147	C₂	1	2	yes	maximal, complemented
20	C₂×#19099139	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#19099132	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099113	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#19099097	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#529×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929624	C₂²	1	1	yes	characteristic
26	C₂²×#11929624	C₂²	1	1	yes	characteristic
27	C₂²×#11929624	C₂²	1	1	yes	characteristic
28	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
29	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
30	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
31	#19099309	C₂²	1	32	yes	complemented
32	#19099301	C₂²	1	32	yes	complemented
33	#19099298	C₂²	1	16	yes	complemented
34	#19099286	C₂²	1	16	yes	complemented
35	#19099264	C₂²	1	32	yes	complemented
36	#19099238	C₂²	1	32	yes	complemented
37	#19099234	C₂²	1	16	yes	complemented
38	#19099222	C₂²	1	16	yes	complemented
39	#19099222	C₂²	1	16	yes	complemented
40	#19099218	C₂²	1	16	yes	complemented
41	#19099209	C₂²	1	16	yes	complemented
42	#19099209	C₂²	1	16	yes	complemented
43	#19099175	C₂²	1	16	yes	complemented
44	#19099168	C₂²	1	16	yes	complemented
45	#19099165	C₂²	1	32	yes	complemented
46	#19099161	C₂²	1	32	yes	complemented
47	#19099149	C₂²	1	32	yes	complemented
48	#19099147	C₂²	1	32	yes	complemented
49	#19099139	C₂²	1	16	yes	complemented
50	#19099132	C₂²	1	16	yes	complemented
51	#19099113	C₂²	1	16	yes	complemented
52	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14579158	C₂²	1	1	yes	characteristic
55	C₂×#14579158	C₂²	1	1	yes	characteristic
56	C₂×#14579157	C₂²	1	2	yes	complemented
57	#19099097	C₂²	1	16	yes	complemented
58	C₂×#14579156	C₂²	1	2	yes	complemented
59	C₂×#14579156	C₂²	1	2	yes	complemented
60	C₂×#14579155	C₂²	1	2	yes	complemented
61	C₂×#14579154	C₂²	1	2	yes	—
62	C₂×#14579154	C₂²	1	2	yes	—
63	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14579151	C₂²	1	2	yes	complemented
65	C₂×#14579151	C₂²	1	2	yes	complemented
66	C₂×#14579150	C₂²	1	2	yes	complemented
67	C₂×#14579149	C₂²	1	1	yes	characteristic
68	C₂×#14579149	C₂²	1	1	yes	characteristic
69	C₂×#14579149	C₂²	1	1	yes	characteristic
70	C₂×#14579149	C₂²	1	1	yes	characteristic
71	C₂×#14579149	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14579147	C₂²	1	2	yes	—
73	C₂×#14579147	C₂²	1	2	yes	complemented
74	C₂×#14579146	C₂²	1	2	yes	—
75	C₂×#14579146	C₂²	1	2	yes	—
76	C₂×#14579146	C₂²	1	2	yes	complemented
77	C₂×#14579146	C₂²	1	2	yes	complemented
78	C₂×#14579146	C₂²	1	2	yes	complemented
79	C₂×#14579146	C₂²	1	2	yes	complemented
80	C₂×#14579145	C₂²	1	2	yes	complemented
81	C₂×#14579145	C₂²	1	2	yes	complemented
82	C₂×#14579144	C₂²	1	2	yes	complemented
83	C₂×#14579143	C₂²	1	2	yes	—
84	C₂×#14579143	C₂²	1	2	yes	complemented
85	C₂×#14579141	C₂²	1	2	yes	complemented
86	C₂×#14579141	C₂²	1	2	yes	complemented
87	C₂×#14579140	C₂²	1	1	yes	characteristic
88	C₂×#14579140	C₂²	1	1	yes	characteristic
89	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14579139	C₂²	1	2	yes	complemented
91	C₂×#14579139	C₂²	1	2	yes	complemented
92	C₂×#14579137	C₂²	1	2	yes	complemented
93	C₂×#14579136	C₂²	1	2	yes	—
94	C₂×#14579136	C₂²	1	2	yes	—
95	C₂×#14579135	C₂²	1	1	yes	characteristic
96	C₂×#14579135	C₂²	1	1	yes	characteristic
97	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14579135	C₂²	1	2	yes	complemented
99	C₂×#14579135	C₂²	1	2	yes	complemented
100	C₂×#14579134	C₂²	1	2	yes	—
101	C₂×#14579134	C₂²	1	2	yes	—
102	C₂×#14579134	C₂²	1	2	yes	complemented
103	C₂×#14579134	C₂²	1	2	yes	complemented
104	C₂×#14579134	C₂²	1	2	yes	complemented
105	C₂×#14579134	C₂²	1	2	yes	complemented
106	C₂×#14579133	C₂²	1	2	yes	—
107	C₂×#14579133	C₂²	1	2	yes	complemented
108	C₂×#14579132	C₂²	1	2	yes	—
109	C₂×#14579131	C₂²	1	2	yes	—
110	C₂×#14579131	C₂²	1	2	yes	—
111	C₂×#14579129	C₂²	1	2	yes	—
112	C₂×#14579129	C₂²	1	2	yes	—
113	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
117	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
118	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
120	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
121	C₂×#14579123	C₂²	1	2	yes	complemented
122	C₂×#14579123	C₂²	1	2	yes	complemented
123	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
124	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
125	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
126	C₂×#14579119	C₂²	1	2	yes	complemented
127	C₂×#14579118	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
131	#529×C₇₉	C₂²	1	16	yes	complemented
132	C₂×#126×C₇₉	C₂²	1	1	yes	characteristic
133	C₂×#126×C₇₉	C₂²	1	1	yes	characteristic, complemented
134	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic
136	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
137	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
140	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
142	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
143	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
144	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
145	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929624	—	4	4	no	—
149	C₂×#11929624	—	4	4	no	—
150	C₂×#11929624	—	4	4	no	—
151	C₂×#11929624	—	4	4	no	—
152	C₂×#11929624	C₂³	1	8	yes	—
153	C₂×#11929624	C₂³	1	8	yes	—
154	C₂×#11929624	C₂³	1	8	yes	—
155	C₂×#11929624	C₂³	1	8	yes	complemented
156	C₂²×Dic₁₅₈	—	4	4	no	—
157	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
158	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
159	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
160	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
161	C₂²×Dic₁₅₈	C₂³	1	8	yes	complemented
162	C₂²×D₃₁₆	—	4	4	no	—
163	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
164	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
165	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
166	C₂²×D₃₁₆	C₂³	1	8	yes	—
167	C₂²×D₃₁₆	C₂³	1	2	yes	—
168	C₂²×D₃₁₆	C₂³	1	2	yes	—
169	C₂²×D₃₁₆	C₂³	1	2	yes	—
170	C₂²×D₃₁₆	C₂³	1	2	yes	—
171	C₂²×D₃₁₆	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
179	C₂³×Dic₇₉	C₂³	1	2	yes	—
180	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
181	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
182	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
183	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
185	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
186	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
187	#14579161	C₂³	1	8	yes	complemented
188	#14579161	C₂³	1	8	yes	complemented
189	#14579158	C₂³	1	8	yes	—
190	#14579158	C₂³	1	8	yes	—
191	#14579157	C₂³	1	16	yes	complemented
192	#14579156	C₂³	1	16	yes	complemented
193	#14579156	C₂³	1	16	yes	complemented
194	#14579155	C₂³	1	16	yes	complemented
195	#14579154	C₂³	1	16	yes	—
196	#14579154	C₂³	1	16	yes	—
197	#14579153	C₂³	1	8	yes	complemented
198	#14579151	C₂³	1	16	yes	complemented
199	#14579151	C₂³	1	16	yes	complemented
200	#14579150	C₂³	1	16	yes	complemented
201	#14579149	C₂³	1	8	yes	—
202	#14579149	C₂³	1	8	yes	—
203	#14579149	C₂³	1	8	yes	—
204	#14579149	C₂³	1	8	yes	—
205	#14579149	C₂³	1	8	yes	complemented
206	#14579147	C₂³	1	16	yes	—
207	#14579147	C₂³	1	16	yes	complemented
208	#14579146	C₂³	1	16	yes	—
209	#14579146	C₂³	1	16	yes	—
210	#14579146	C₂³	1	16	yes	complemented
211	#14579146	C₂³	1	16	yes	complemented
212	#14579146	C₂³	1	16	yes	complemented
213	#14579146	C₂³	1	16	yes	complemented
214	#14579145	C₂³	1	16	yes	complemented
215	#14579145	C₂³	1	16	yes	complemented
216	#14579144	C₂³	1	16	yes	complemented
217	#14579143	C₂³	1	16	yes	—
218	#14579143	C₂³	1	16	yes	complemented
219	#14579141	C₂³	1	16	yes	complemented
220	#14579141	C₂³	1	16	yes	complemented
221	#14579140	C₂³	1	8	yes	—
222	#14579140	C₂³	1	8	yes	—
223	#14579140	C₂³	1	8	yes	complemented
224	#14579139	C₂³	1	16	yes	complemented
225	#14579139	C₂³	1	16	yes	complemented
226	#14579137	C₂³	1	16	yes	complemented
227	#14579136	C₂³	1	16	yes	—
228	#14579136	C₂³	1	16	yes	—
229	#14579135	C₂³	1	8	yes	—
230	#14579135	C₂³	1	8	yes	—
231	#14579135	C₂³	1	16	yes	complemented
232	#14579135	C₂³	1	8	yes	complemented
233	#14579135	C₂³	1	16	yes	complemented
234	#14579134	C₂³	1	16	yes	—
235	#14579134	C₂³	1	16	yes	—
236	#14579134	C₂³	1	16	yes	complemented
237	#14579134	C₂³	1	16	yes	complemented
238	#14579134	C₂³	1	16	yes	complemented
239	#14579134	C₂³	1	16	yes	complemented
240	#14579133	C₂³	1	16	yes	—
241	#14579133	C₂³	1	16	yes	complemented
242	#14579132	C₂³	1	16	yes	—
243	#14579131	C₂³	1	16	yes	—
244	#14579131	C₂³	1	16	yes	—
245	#14579129	C₂³	1	16	yes	—
246	#14579129	C₂³	1	16	yes	—
247	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
248	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
249	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
250	C₄×D₃₁₆	C₂³	1	8	yes	—
251	C₄×D₃₁₆	C₂³	1	8	yes	—
252	C₄×D₃₁₆	C₂³	1	16	yes	complemented
253	C₄×D₃₁₆	C₂³	1	8	yes	complemented
254	C₄×D₃₁₆	C₂³	1	16	yes	complemented
255	#14579123	C₂³	1	16	yes	complemented
256	#14579123	C₂³	1	16	yes	complemented
257	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
258	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
259	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
260	#14579119	C₂³	1	16	yes	complemented
261	#14579118	C₂³	1	16	yes	complemented
262	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
267	C₂×C₄⋊Dic₇₉	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	2	yes	—
272	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
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	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
277	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
278	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
280	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
281	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
282	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
283	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
285	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	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	2	yes	—
289	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
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	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
297	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
298	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
299	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
300	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
301	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
302	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
303	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
304	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
305	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
306	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
307	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
308	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
309	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
310	#126×C₇₉	C₂³	1	8	yes	—
311	#126×C₇₉	C₂³	1	8	yes	complemented
312	#125×C₇₉	C₂³	1	8	yes	complemented
313	#124×C₇₉	C₂³	1	8	yes	—
314	#123×C₇₉	C₂³	1	8	yes	—
315	#123×C₇₉	C₂³	1	8	yes	complemented
316	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
317	#121×C₇₉	C₂³	1	8	yes	—
318	C₄×Q₈×C₇₉	C₂³	1	8	yes	complemented
319	C₄×D₄×C₇₉	C₂³	1	8	yes	—
320	C₄×D₄×C₇₉	C₂³	1	8	yes	—
321	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
322	#117×C₇₉	C₂³	1	8	yes	—
323	#117×C₇₉	C₂³	1	8	yes	complemented
324	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×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	1	yes	characteristic
347	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₉	C₂³	1	8	yes	complemented
351	C₂³×D₇₉	—	4	4	no	—
352	C₂³×D₇₉	—	4	4	no	—
353	C₂³×D₇₉	—	4	4	no	—
354	C₂³×D₇₉	C₂⁴	1	2	yes	—
355	C₂³×D₇₉	C₂⁴	1	2	yes	—
356	C₂³×D₇₉	C₂⁴	1	2	yes	—
357	C₂³×D₇₉	C₂⁴	1	8	yes	—
358	#11929624	—	4	16	no	—
359	#11929624	—	4	16	no	—
360	#11929624	—	4	16	no	—
361	#11929624	—	4	16	no	—
362	C₂×Dic₁₅₈	—	2	4	no	—
363	C₂×Dic₁₅₈	—	2	4	no	—
364	C₂×Dic₁₅₈	—	2	4	no	—
365	C₂×Dic₁₅₈	—	4	16	no	—
366	C₂×Dic₁₅₈	—	4	4	no	—
367	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
368	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
369	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
370	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
371	C₂×D₃₁₆	—	2	4	no	—
372	C₂×D₃₁₆	—	2	4	no	—
373	C₂×D₃₁₆	—	2	4	no	—
374	C₂×D₃₁₆	—	4	4	no	—
375	C₂×D₃₁₆	—	4	4	no	—
376	C₂×D₃₁₆	—	4	4	no	—
377	C₂×D₃₁₆	—	4	4	no	—
378	C₂×D₃₁₆	—	4	4	no	—
379	C₂×D₃₁₆	—	4	16	no	—
380	C₂×D₃₁₆	C₂⁴	1	4	yes	—
381	C₂×D₃₁₆	C₂⁴	1	4	yes	—
382	C₂×D₃₁₆	C₂⁴	1	4	yes	—
383	C₂×D₃₁₆	C₂⁴	1	8	yes	—
384	C₂×D₃₁₆	C₂⁴	1	8	yes	—
385	C₂×D₃₁₆	C₂⁴	1	8	yes	—
386	C₂×D₃₁₆	C₂⁴	1	8	yes	—
387	C₂×D₃₁₆	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₇₉	—	4	4	no	—
389	C₂×C₂²⋊D₇₉	—	4	4	no	—
390	C₂×C₂²⋊D₇₉	—	4	4	no	—
391	C₂×C₂²⋊D₇₉	—	4	4	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	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
402	C₂²×Dic₇₉	—	4	4	no	—
403	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
404	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
405	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
406	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
407	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
408	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
409	C₂×C₄×D₇₉	—	4	4	no	—
410	C₂×C₄×D₇₉	—	4	4	no	—
411	C₂×C₄×D₇₉	—	4	4	no	—
412	C₂×C₄×D₇₉	—	4	4	no	—
413	C₂×C₄×D₇₉	—	4	4	no	—
414	C₂×C₄×D₇₉	—	4	4	no	—
415	C₂×C₄×D₇₉	—	4	4	no	—
416	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
417	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
418	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
419	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
420	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
421	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
422	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
423	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
424	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
425	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
426	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
427	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
428	C₄⋊Dic₇₉	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	8	yes	—
434	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
435	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
436	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
437	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
438	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
439	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
440	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
441	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
442	(C₂×D₇₉)⋊C₄	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	8	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	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	8	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
456	C₄×Dic₇₉	C₂⁴	1	8	yes	—
457	C₄×Dic₇₉	C₂⁴	1	8	yes	—
458	C₄×Dic₇₉	C₂⁴	1	8	yes	—
459	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
460	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
461	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
462	C₂×Q₈×C₇₉	—	4	2	no	—
463	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
464	C₂×D₄×C₇₉	—	4	2	no	—
465	C₂×D₄×C₇₉	—	4	2	no	—
466	C₂×D₄×C₇₉	—	4	2	no	—
467	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
468	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
469	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
470	C₂²×C₄×C₇₉	—	2	4	no	—
471	C₂²×C₄×C₇₉	—	2	4	no	—
472	C₂²×C₄×C₇₉	—	2	4	no	—
473	C₂²×C₄×C₇₉	—	4	2	no	—
474	C₂²×C₄×C₇₉	—	4	2	no	—
475	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
477	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
479	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
492	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
495	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
498	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
499	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
501	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
503	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
505	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
507	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
508	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
510	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
512	C₄²×C₇₉	C₂⁴	1	4	yes	—
513	C₄²×C₇₉	C₂⁴	1	4	yes	—
514	C₄²×C₇₉	C₂⁴	1	4	yes	—
515	C₄²×C₇₉	C₂⁴	1	4	yes	—
516	C₄²×C₇₉	C₂⁴	1	4	yes	—
517	C₄²×C₇₉	C₂⁴	1	4	yes	—
518	C₂³×C₇₉	—	2	2	no	—
519	C₂³×C₇₉	—	2	2	no	—
520	C₂³×C₇₉	—	2	2	no	—
521	C₂³×C₇₉	—	2	2	no	—
522	C₂³×C₇₉	—	2	2	no	—
523	C₂³×C₇₉	—	2	2	no	—
524	C₂³×C₇₉	—	2	2	no	—
525	C₂³×C₇₉	—	2	2	no	—
526	C₂³×C₇₉	—	2	2	no	—
527	C₂³×C₇₉	C₂⁵	1	2	yes	—
528	C₂³×C₇₉	C₂⁵	1	2	yes	—
529	C₂³×C₇₉	C₂⁵	1	2	yes	—
530	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
531	C₂²×D₇₉	—	2	4	no	—
532	C₂²×D₇₉	—	2	4	no	—
533	C₂²×D₇₉	—	2	4	no	—
534	C₂²×D₇₉	—	2	4	no	—
535	C₂²×D₇₉	—	2	4	no	—
536	C₂²×D₇₉	—	2	4	no	—
537	C₂²×D₇₉	—	2	4	no	—
538	C₂²×D₇₉	—	2	4	no	—
539	C₂²×D₇₉	—	2	4	no	—
540	C₂²×D₇₉	—	4	8	no	—
541	C₂²×D₇₉	—	4	8	no	—
542	C₂²×D₇₉	—	4	8	no	—
543	C₂²×D₇₉	—	8	16	no	—
544	C₂²×D₇₉	C₂⁵	1	4	yes	—
545	C₂²×D₇₉	C₂⁵	1	4	yes	—
546	C₂²×D₇₉	C₂⁵	1	4	yes	—
547	Q₈×C₇₉	—	4	4	no	—
548	D₄×C₇₉	—	4	4	no	—
549	D₄×C₇₉	—	4	4	no	—
550	D₄×C₇₉	—	4	4	no	—
551	C₂×C₄×C₇₉	—	2	2	no	—
552	C₂×C₄×C₇₉	—	2	2	no	—
553	C₂×C₄×C₇₉	—	2	2	no	—
554	C₂×C₄×C₇₉	—	2	2	no	—
555	C₂×C₄×C₇₉	—	2	2	no	—
556	C₂×C₄×C₇₉	—	2	2	no	—
557	C₂×C₄×C₇₉	—	2	2	no	—
558	C₂×C₄×C₇₉	—	2	2	no	—
559	C₂×C₄×C₇₉	—	2	2	no	—
560	C₂×C₄×C₇₉	—	2	2	no	—
561	C₂×C₄×C₇₉	—	2	2	no	—
562	C₂×C₄×C₇₉	—	2	8	no	—
563	C₂×C₄×C₇₉	—	2	8	no	—
564	C₂×C₄×C₇₉	—	2	8	no	—
565	C₂×C₄×C₇₉	—	4	4	no	—
566	C₂×C₄×C₇₉	—	4	4	no	—
567	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	—
568	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
569	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
570	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
571	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
572	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
573	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
574	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
575	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
576	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
577	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
578	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
579	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
580	C₂²⋊D₇₉	—	4	8	no	—
581	C₂²⋊D₇₉	—	4	8	no	—
582	C₂²⋊D₇₉	—	4	8	no	—
583	C₂²⋊D₇₉	—	4	8	no	—
584	C₂²⋊D₇₉	—	4	8	no	—
585	C₂²⋊D₇₉	—	4	8	no	—
586	C₂²⋊D₇₉	—	4	8	no	—
587	C₂×Dic₇₉	—	2	4	no	—
588	C₂×Dic₇₉	—	2	4	no	—
589	C₂×Dic₇₉	—	2	4	no	—
590	C₂×Dic₇₉	—	2	4	no	—
591	C₂×Dic₇₉	—	2	4	no	—
592	C₂×Dic₇₉	—	4	8	no	—
593	C₂×Dic₇₉	C₂⁵	1	4	yes	—
594	C₂×Dic₇₉	C₂⁵	1	4	yes	—
595	C₂×Dic₇₉	C₂⁵	1	4	yes	—
596	C₂×Dic₇₉	C₂⁵	1	4	yes	—
597	C₂×Dic₇₉	C₂⁵	1	4	yes	—
598	D₃₁₆	—	2	8	no	—
599	D₃₁₆	—	2	8	no	—
600	D₃₁₆	—	2	8	no	—
601	D₃₁₆	—	4	8	no	—
602	D₃₁₆	—	4	8	no	—
603	D₃₁₆	—	4	8	no	—
604	D₃₁₆	—	4	8	no	—
605	D₃₁₆	—	4	8	no	—
606	C₄×D₇₉	—	4	8	no	—
607	C₄×D₇₉	—	4	8	no	—
608	C₄×D₇₉	—	4	8	no	—
609	C₄×D₇₉	—	4	8	no	—
610	C₄×D₇₉	—	4	8	no	—
611	C₄×D₇₉	—	4	8	no	—
612	C₄×D₇₉	—	4	8	no	—
613	Dic₁₅₈	—	2	8	no	—
614	Dic₁₅₈	—	2	8	no	—
615	Dic₁₅₈	—	2	8	no	—
616	Dic₁₅₈	—	4	8	no	—
617	C₂²×C₇₉	—	2	2	no	—
618	C₂²×C₇₉	—	2	2	no	—
619	C₂²×C₇₉	—	2	2	no	—
620	C₂²×C₇₉	—	2	2	no	—
621	C₂²×C₇₉	—	2	2	no	—
622	C₂²×C₇₉	—	2	2	no	—
623	C₂²×C₇₉	—	2	2	no	—
624	C₂²×C₇₉	—	2	2	no	—
625	C₂²×C₇₉	—	2	2	no	—
626	C₂²×C₇₉	—	4	4	no	—
627	C₂²×C₇₉	—	4	4	no	—
628	C₂²×C₇₉	—	4	4	no	—
629	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
630	C₂²×C₇₉	#585	1	2	yes	—
631	C₂²×C₇₉	#585	1	2	yes	—
632	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
633	C₂×D₇₉	—	2	4	no	—
634	C₂×D₇₉	—	2	4	no	—
635	C₂×D₇₉	—	2	4	no	—
636	C₂×D₇₉	—	2	4	no	—
637	C₂×D₇₉	—	2	4	no	—
638	C₂×D₇₉	—	2	4	no	—
639	C₂×D₇₉	—	2	4	no	—
640	C₂×D₇₉	—	2	4	no	—
641	C₂×D₇₉	—	2	4	no	—
642	C₂×D₇₉	—	4	8	no	—
643	C₂×D₇₉	—	4	8	no	—
644	C₂×D₇₉	—	4	8	no	—
645	C₂×D₇₉	—	8	16	no	—
646	C₄×C₇₉	—	2	2	no	—
647	C₄×C₇₉	—	2	2	no	—
648	C₄×C₇₉	—	2	2	no	—
649	C₄×C₇₉	—	2	2	no	—
650	C₄×C₇₉	—	2	2	no	—
651	C₄×C₇₉	—	2	2	no	—
652	C₄×C₇₉	—	2	2	no	—
653	C₄×C₇₉	—	2	2	no	—
654	C₄×C₇₉	—	2	2	no	—
655	C₄×C₇₉	—	2	2	no	—
656	C₄×C₇₉	—	2	2	no	—
657	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
658	Dic₇₉	—	2	4	no	—
659	Dic₇₉	—	2	4	no	—
660	Dic₇₉	—	2	4	no	—
661	Dic₇₉	—	2	4	no	—
662	Dic₇₉	—	2	4	no	—
663	C₂×#3562	—	79	1	no	maximal, Sylow
664	C₂×C₇₉	—	4	2	no	—
665	C₂×C₇₉	—	4	2	no	—
666	C₂×C₇₉	—	4	2	no	—
667	C₂×C₇₉	#3562	1	4	yes	complemented
668	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
669	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
670	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
671	D₇₉	—	4	4	no	—
672	D₇₉	—	4	4	no	—
673	D₇₉	—	4	4	no	—
674	#3562	—	79	32	no	—
675	C₂×#562	—	79	2	no	—
676	C₂×#560	—	79	2	no	—
677	C₂×#559	—	79	1	no	—
678	C₂×#556	—	79	1	no	—
679	C₂×#553	—	79	2	no	—
680	C₂×#551	—	79	2	no	—
681	C₂×#550	—	79	1	no	—
682	C₂×#548	—	79	1	no	—
683	C₂×#548	—	79	1	no	—
684	C₂×#547	—	79	1	no	—
685	C₂×#546	—	79	1	no	—
686	C₂×#546	—	79	1	no	—
687	C₂×#541	—	79	1	no	—
688	C₂×#540	—	79	2	no	—
689	C₂×#540	—	79	1	no	—
690	C₂×#539	—	79	2	no	—
691	C₂×#538	—	79	2	no	—
692	C₂×#538	—	79	2	no	—
693	C₂×#536	—	79	1	no	—
694	C₂×#535	—	79	1	no	—
695	C₂×#532	—	79	1	no	—
696	C₂×#529	—	79	1	no	—
697	C₂×#529	D₇₉	1	1	yes	characteristic, complemented
698	C₇₉	C₂×#3562	1	1	yes	characteristic, complemented, Sylow
699	C₂²×#41	—	79	1	no	—
700	C₂²×#41	—	79	1	no	—
701	C₂²×#41	—	79	1	no	—
702	C₂²×#41	—	79	1	no	—
703	C₂³×Q₈	—	79	1	no	—
704	C₂³×D₄	—	79	1	no	—
705	#562	—	79	32	no	—
706	#560	—	79	32	no	—
707	#559	—	79	16	no	—
708	#556	—	79	16	no	—
709	#553	—	79	32	no	—
710	#551	—	79	32	no	—
711	#550	—	79	16	no	—
712	#548	—	79	16	no	—
713	#548	—	79	16	no	—
714	#547	—	79	16	no	—
715	#546	—	79	16	no	—
716	#546	—	79	16	no	—
717	#541	—	79	16	no	—
718	#540	—	79	32	no	—
719	#540	—	79	16	no	—
720	#539	—	79	32	no	—
721	#538	—	79	32	no	—
722	#538	—	79	32	no	—
723	#536	—	79	16	no	—
724	#535	—	79	16	no	—
725	#532	—	79	16	no	—
726	C₂×C₄⋊Q₈	—	79	1	no	—
727	C₂×C₄⋊Q₈	—	79	1	no	—
728	C₂×#127	—	79	2	no	—
729	C₂×#127	—	79	1	no	—
730	C₂×#127	—	79	1	no	—
731	#529	—	79	16	no	—
732	#529	C₂×D₇₉	1	16	yes	complemented
733	C₂×#126	—	79	2	no	—
734	C₂×#126	—	79	2	no	—
735	C₂×#126	—	79	2	no	—
736	C₂×#126	—	79	2	no	—
737	C₂×#126	—	79	2	no	—
738	C₂×#126	C₂×D₇₉	1	1	yes	characteristic
739	C₂×#126	C₂×D₇₉	1	1	yes	characteristic, complemented
740	C₂×#125	—	79	2	no	—
741	C₂×#125	—	79	2	no	—
742	C₂×#125	—	79	1	no	—
743	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
744	C₂×#124	—	79	2	no	—
745	C₂×#124	—	79	2	no	—
746	C₂×#124	—	79	2	no	—
747	C₂×#124	—	79	1	no	—
748	C₂×#124	—	79	1	no	—
749	C₂×#124	—	79	1	no	—
750	C₂×#124	—	79	1	no	—
751	C₂×#124	—	79	1	no	—
752	C₂×#124	C₂×D₇₉	1	1	yes	characteristic
753	C₂×#123	—	79	2	no	—
754	C₂×#123	—	79	2	no	—
755	C₂×#123	—	79	2	no	—
756	C₂×#123	—	79	2	no	—
757	C₂×#123	—	79	2	no	—
758	C₂×#123	—	79	2	no	—
759	C₂×#123	—	79	2	no	—
760	C₂×#123	—	79	2	no	—
761	C₂×#123	—	79	2	no	—
762	C₂×#123	—	79	2	no	—
763	C₂×#123	—	79	2	no	—
764	C₂×#123	C₂×D₇₉	1	1	yes	characteristic
765	C₂×#123	C₂×D₇₉	1	1	yes	characteristic, complemented
766	C₂×C₂²⋊Q₈	—	79	2	no	—
767	C₂×C₂²⋊Q₈	—	79	1	no	—
768	C₂×C₂²⋊Q₈	—	79	1	no	—
769	C₂×C₂²⋊Q₈	—	79	1	no	—
770	C₂×C₂²⋊Q₈	—	79	2	no	—
771	C₂×C₂²⋊Q₈	—	79	2	no	—
772	C₂×C₂²⋊Q₈	—	79	2	no	—
773	C₂×C₂²⋊Q₈	—	79	2	no	—
774	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
775	C₂×#121	—	79	2	no	—
776	C₂×#121	—	79	2	no	—
777	C₂×#121	—	79	2	no	—
778	C₂×#121	—	79	1	no	—
779	C₂×#121	—	79	2	no	—
780	C₂×#121	—	79	2	no	—
781	C₂×#121	—	79	1	no	—
782	C₂×#121	—	79	1	no	—
783	C₂×#121	—	79	2	no	—
784	C₂×#121	—	79	2	no	—
785	C₂×#121	—	79	2	no	—
786	C₂×#121	—	79	2	no	—
787	C₂×#121	—	79	2	no	—
788	C₂×#121	—	79	2	no	—
789	C₂×#121	—	79	2	no	—
790	C₂×#121	—	79	2	no	—
791	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
792	C₂×#120	—	79	2	no	—
793	C₂×#120	—	79	2	no	—
794	C₂×#120	—	79	2	no	—
795	C₂×#120	—	79	2	no	—
796	C₂×C₄×Q₈	—	79	1	no	—
797	C₂×C₄×Q₈	—	79	1	no	—
798	C₂×C₄×Q₈	—	79	1	no	—
799	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
800	C₂×C₄×D₄	—	79	2	no	—
801	C₂×C₄×D₄	—	79	2	no	—
802	C₂×C₄×D₄	—	79	2	no	—
803	C₂×C₄×D₄	—	79	2	no	—
804	C₂×C₄×D₄	—	79	2	no	—
805	C₂×C₄×D₄	—	79	1	no	—
806	C₂×C₄×D₄	—	79	2	no	—
807	C₂×C₄×D₄	—	79	2	no	—
808	C₂×C₄×D₄	—	79	1	no	—
809	C₂×C₄×D₄	—	79	1	no	—
810	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
811	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
812	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
813	C₂×#117	—	79	2	no	—
814	C₂×#117	—	79	2	no	—
815	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
816	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
817	C₂²×C₄⋊C₄	—	79	2	no	—
818	C₂²×C₂²⋊C₄	—	79	2	no	—
819	C₂²×C₂²⋊C₄	—	79	2	no	—
820	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
821	C₂⁵	—	79	2	no	—
822	C₂×#41	—	316	4	no	—
823	C₂×#41	—	316	4	no	—
824	C₂×#41	—	316	4	no	—
825	C₂×#41	—	316	4	no	—
826	C₂×#41	—	79	8	no	—
827	C₂×#41	—	79	8	no	—
828	C₂×#41	—	79	8	no	—
829	C₂×#41	—	79	8	no	—
830	C₂²×Q₈	—	316	4	no	—
831	C₂²×Q₈	—	79	2	no	—
832	C₂²×Q₈	—	79	8	no	—
833	C₂²×Q₈	—	79	1	no	—
834	C₂²×Q₈	—	79	1	no	—
835	C₂²×Q₈	—	79	1	no	—
836	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
837	C₂²×D₄	—	316	4	no	—
838	C₂²×D₄	—	79	2	no	—
839	C₂²×D₄	—	79	2	no	—
840	C₂²×D₄	—	79	2	no	—
841	C₂²×D₄	—	79	2	no	—
842	C₂²×D₄	—	79	2	no	—
843	C₂²×D₄	—	79	2	no	—
844	C₂²×D₄	—	79	2	no	—
845	C₂²×D₄	—	79	2	no	—
846	C₂²×D₄	—	79	2	no	—
847	C₂²×D₄	—	79	2	no	—
848	C₂²×D₄	—	79	2	no	—
849	C₂²×D₄	—	79	2	no	—
850	C₂²×D₄	—	79	8	no	—
851	C₂²×D₄	—	79	1	no	—
852	C₂²×D₄	—	79	1	no	—
853	C₂²×D₄	—	79	1	no	—
854	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
855	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
856	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
857	C₂³×C₄	—	79	2	no	—
858	C₂³×C₄	—	79	2	no	—
859	C₂³×C₄	—	79	2	no	—
860	C₂³×C₄	—	79	2	no	—
861	C₂³×C₄	—	79	2	no	—
862	C₂³×C₄	—	79	2	no	—
863	C₂³×C₄	—	79	2	no	—
864	C₂³×C₄	—	79	2	no	—
865	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
866	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
867	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
869	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
870	C₄⋊Q₈	—	79	8	no	—
871	C₄⋊Q₈	—	79	8	no	—
872	#127	—	79	16	no	—
873	#127	—	79	8	no	—
874	#127	—	79	8	no	—
875	#126	—	79	16	no	—
876	#126	—	79	16	no	—
877	#126	—	79	16	no	—
878	#126	—	79	16	no	—
879	#126	—	79	16	no	—
880	#126	C₂²×D₇₉	1	8	yes	—
881	#126	C₂²×D₇₉	1	8	yes	complemented
882	#125	—	79	16	no	—
883	#125	—	79	16	no	—
884	#125	—	79	8	no	—
885	#125	C₂²×D₇₉	1	8	yes	complemented
886	#124	—	79	16	no	—
887	#124	—	79	16	no	—
888	#124	—	79	16	no	—
889	#124	—	79	8	no	—
890	#124	—	79	8	no	—
891	#124	—	79	8	no	—
892	#124	—	79	8	no	—
893	#124	—	79	8	no	—
894	#124	C₂²×D₇₉	1	8	yes	—
895	#123	—	79	16	no	—
896	#123	—	79	16	no	—
897	#123	—	79	16	no	—
898	#123	—	79	16	no	—
899	#123	—	79	16	no	—
900	#123	—	79	16	no	—
901	#123	—	79	16	no	—
902	#123	—	79	16	no	—
903	#123	—	79	16	no	—
904	#123	—	79	16	no	—
905	#123	—	79	16	no	—
906	#123	C₂²×D₇₉	1	8	yes	—
907	#123	C₂²×D₇₉	1	8	yes	complemented
908	C₂²⋊Q₈	—	79	16	no	—
909	C₂²⋊Q₈	—	79	8	no	—
910	C₂²⋊Q₈	—	79	8	no	—
911	C₂²⋊Q₈	—	79	8	no	—
912	C₂²⋊Q₈	—	79	16	no	—
913	C₂²⋊Q₈	—	79	16	no	—
914	C₂²⋊Q₈	—	79	16	no	—
915	C₂²⋊Q₈	—	79	16	no	—
916	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
917	#121	—	79	16	no	—
918	#121	—	79	16	no	—
919	#121	—	79	16	no	—
920	#121	—	79	8	no	—
921	#121	—	79	16	no	—
922	#121	—	79	16	no	—
923	#121	—	79	8	no	—
924	#121	—	79	8	no	—
925	#121	—	79	16	no	—
926	#121	—	79	16	no	—
927	#121	—	79	16	no	—
928	#121	—	79	16	no	—
929	#121	—	79	16	no	—
930	#121	—	79	16	no	—
931	#121	—	79	16	no	—
932	#121	—	79	16	no	—
933	#121	C₂²×D₇₉	1	8	yes	—
934	#120	—	79	16	no	—
935	#120	—	79	16	no	—
936	#120	—	79	16	no	—
937	#120	—	79	16	no	—
938	C₄×Q₈	—	79	8	no	—
939	C₄×Q₈	—	79	8	no	—
940	C₄×Q₈	—	79	8	no	—
941	C₄×Q₈	C₂²×D₇₉	1	8	yes	complemented
942	C₄×D₄	—	79	16	no	—
943	C₄×D₄	—	79	16	no	—
944	C₄×D₄	—	79	16	no	—
945	C₄×D₄	—	79	16	no	—
946	C₄×D₄	—	79	16	no	—
947	C₄×D₄	—	79	8	no	—
948	C₄×D₄	—	79	16	no	—
949	C₄×D₄	—	79	16	no	—
950	C₄×D₄	—	79	8	no	—
951	C₄×D₄	—	79	8	no	—
952	C₄×D₄	C₂²×D₇₉	1	8	yes	—
953	C₄×D₄	C₂²×D₇₉	1	8	yes	—
954	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
955	#117	—	79	16	no	—
956	#117	—	79	16	no	—
957	#117	C₂²×D₇₉	1	8	yes	—
958	#117	C₂²×D₇₉	1	8	yes	complemented
959	C₂×C₄⋊C₄	—	79	2	no	—
960	C₂×C₄⋊C₄	—	79	2	no	—
961	C₂×C₄⋊C₄	—	79	2	no	—
962	C₂×C₄⋊C₄	—	79	2	no	—
963	C₂×C₄⋊C₄	—	79	2	no	—
964	C₂×C₄⋊C₄	—	79	1	no	—
965	C₂×C₄⋊C₄	—	79	1	no	—
966	C₂×C₄⋊C₄	—	79	2	no	—
967	C₂×C₄⋊C₄	—	79	2	no	—
968	C₂×C₄⋊C₄	—	79	2	no	—
969	C₂×C₄⋊C₄	—	79	2	no	—
970	C₂×C₄⋊C₄	—	79	2	no	—
971	C₂×C₄⋊C₄	—	79	2	no	—
972	C₂×C₄⋊C₄	—	79	2	no	—
973	C₂×C₄⋊C₄	—	79	16	no	—
974	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	—	79	2	no	—
985	C₂×C₂²⋊C₄	—	79	2	no	—
986	C₂×C₂²⋊C₄	—	79	2	no	—
987	C₂×C₂²⋊C₄	—	79	2	no	—
988	C₂×C₂²⋊C₄	—	79	2	no	—
989	C₂×C₂²⋊C₄	—	79	2	no	—
990	C₂×C₂²⋊C₄	—	79	2	no	—
991	C₂×C₂²⋊C₄	—	79	2	no	—
992	C₂×C₂²⋊C₄	—	79	2	no	—
993	C₂×C₂²⋊C₄	—	79	2	no	—
994	C₂×C₂²⋊C₄	—	79	2	no	—
995	C₂×C₂²⋊C₄	—	79	2	no	—
996	C₂×C₂²⋊C₄	—	79	2	no	—
997	C₂×C₂²⋊C₄	—	79	2	no	—
998	C₂×C₂²⋊C₄	—	79	2	no	—
999	C₂×C₂²⋊C₄	—	79	2	no	—
1000	C₂×C₂²⋊C₄	—	79	2	no	—
1001	C₂×C₂²⋊C₄	—	79	2	no	—
1002	C₂×C₂²⋊C₄	—	79	2	no	—
1003	C₂×C₂²⋊C₄	—	79	16	no	—
1004	C₂×C₂²⋊C₄	—	79	16	no	—
1005	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1015	C₂×C₄²	—	79	2	no	—
1016	C₂×C₄²	—	79	2	no	—
1017	C₂×C₄²	—	79	2	no	—
1018	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1019	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1020	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1021	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1022	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1023	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₇₉	1	8	yes	complemented
1025	C₂⁴	—	316	4	no	—
1026	C₂⁴	—	316	4	no	—
1027	C₂⁴	—	316	4	no	—
1028	C₂⁴	—	79	8	no	—
1029	C₂⁴	—	79	2	no	—
1030	C₂⁴	—	79	2	no	—
1031	C₂⁴	—	79	2	no	—
1032	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1034	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1035	#41	—	316	16	no	—
1036	#41	—	316	16	no	—
1037	#41	—	316	16	no	—
1038	#41	—	316	16	no	—
1039	C₂×Q₈	—	4	2	no	—
1040	C₂×Q₈	—	316	16	no	—
1041	C₂×Q₈	—	316	4	no	—
1042	C₂×Q₈	—	79	8	no	—
1043	C₂×Q₈	—	79	4	no	—
1044	C₂×Q₈	—	79	4	no	—
1045	C₂×Q₈	—	79	4	no	—
1046	C₂×Q₈	—	158	4	no	—
1047	C₂×Q₈	—	158	4	no	—
1048	C₂×Q₈	—	158	4	no	—
1049	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	2	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	316	4	no	—
1054	C₂×D₄	—	316	4	no	—
1055	C₂×D₄	—	316	4	no	—
1056	C₂×D₄	—	316	4	no	—
1057	C₂×D₄	—	316	4	no	—
1058	C₂×D₄	—	316	16	no	—
1059	C₂×D₄	—	316	4	no	—
1060	C₂×D₄	—	316	4	no	—
1061	C₂×D₄	—	316	4	no	—
1062	C₂×D₄	—	316	4	no	—
1063	C₂×D₄	—	316	4	no	—
1064	C₂×D₄	—	316	4	no	—
1065	C₂×D₄	—	316	4	no	—
1066	C₂×D₄	—	79	8	no	—
1067	C₂×D₄	—	79	8	no	—
1068	C₂×D₄	—	79	8	no	—
1069	C₂×D₄	—	79	8	no	—
1070	C₂×D₄	—	79	8	no	—
1071	C₂×D₄	—	79	8	no	—
1072	C₂×D₄	—	79	8	no	—
1073	C₂×D₄	—	79	8	no	—
1074	C₂×D₄	—	79	8	no	—
1075	C₂×D₄	—	79	8	no	—
1076	C₂×D₄	—	79	8	no	—
1077	C₂×D₄	—	79	8	no	—
1078	C₂×D₄	—	79	4	no	—
1079	C₂×D₄	—	79	4	no	—
1080	C₂×D₄	—	79	4	no	—
1081	C₂×D₄	—	158	4	no	—
1082	C₂×D₄	—	158	4	no	—
1083	C₂×D₄	—	158	4	no	—
1084	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1085	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1086	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1087	C₂²×C₄	—	2	4	no	—
1088	C₂²×C₄	—	2	4	no	—
1089	C₂²×C₄	—	2	4	no	—
1090	C₂²×C₄	—	4	2	no	—
1091	C₂²×C₄	—	4	2	no	—
1092	C₂²×C₄	—	316	4	no	—
1093	C₂²×C₄	—	316	4	no	—
1094	C₂²×C₄	—	316	4	no	—
1095	C₂²×C₄	—	316	4	no	—
1096	C₂²×C₄	—	316	4	no	—
1097	C₂²×C₄	—	316	4	no	—
1098	C₂²×C₄	—	316	4	no	—
1099	C₂²×C₄	—	316	4	no	—
1100	C₂²×C₄	—	79	8	no	—
1101	C₂²×C₄	—	79	8	no	—
1102	C₂²×C₄	—	79	8	no	—
1103	C₂²×C₄	—	79	8	no	—
1104	C₂²×C₄	—	79	8	no	—
1105	C₂²×C₄	—	79	8	no	—
1106	C₂²×C₄	—	79	8	no	—
1107	C₂²×C₄	—	79	8	no	—
1108	C₂²×C₄	—	79	2	no	—
1109	C₂²×C₄	—	79	2	no	—
1110	C₂²×C₄	—	79	2	no	—
1111	C₂²×C₄	—	79	2	no	—
1112	C₂²×C₄	—	79	2	no	—
1113	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1114	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1115	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1116	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1128	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1129	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1130	C₄⋊C₄	—	79	8	no	—
1131	C₄⋊C₄	—	79	8	no	—
1132	C₄⋊C₄	—	79	8	no	—
1133	C₄⋊C₄	—	79	8	no	—
1134	C₄⋊C₄	—	79	8	no	—
1135	C₄⋊C₄	—	79	8	no	—
1136	C₄⋊C₄	—	79	8	no	—
1137	C₄⋊C₄	—	79	8	no	—
1138	C₄⋊C₄	—	79	8	no	—
1139	C₄⋊C₄	—	79	8	no	—
1140	C₄⋊C₄	—	79	4	no	—
1141	C₄⋊C₄	—	79	4	no	—
1142	C₄⋊C₄	—	79	8	no	—
1143	C₄⋊C₄	—	79	8	no	—
1144	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1146	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1147	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1148	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1151	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1153	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1154	C₂²⋊C₄	—	79	8	no	—
1155	C₂²⋊C₄	—	79	8	no	—
1156	C₂²⋊C₄	—	79	8	no	—
1157	C₂²⋊C₄	—	79	8	no	—
1158	C₂²⋊C₄	—	79	8	no	—
1159	C₂²⋊C₄	—	79	8	no	—
1160	C₂²⋊C₄	—	79	8	no	—
1161	C₂²⋊C₄	—	79	8	no	—
1162	C₂²⋊C₄	—	79	8	no	—
1163	C₂²⋊C₄	—	79	8	no	—
1164	C₂²⋊C₄	—	79	8	no	—
1165	C₂²⋊C₄	—	79	8	no	—
1166	C₂²⋊C₄	—	79	8	no	—
1167	C₂²⋊C₄	—	79	8	no	—
1168	C₂²⋊C₄	—	79	8	no	—
1169	C₂²⋊C₄	—	79	8	no	—
1170	C₂²⋊C₄	—	79	8	no	—
1171	C₂²⋊C₄	—	79	8	no	—
1172	C₂²⋊C₄	—	79	8	no	—
1173	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1175	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1176	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1177	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1178	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1179	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1180	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1181	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1182	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1183	C₄²	—	79	8	no	—
1184	C₄²	—	79	8	no	—
1185	C₄²	—	79	8	no	—
1186	C₄²	C₂³×D₇₉	1	4	yes	—
1187	C₄²	C₂³×D₇₉	1	4	yes	—
1188	C₄²	C₂³×D₇₉	1	4	yes	—
1189	C₄²	C₂³×D₇₉	1	4	yes	—
1190	C₄²	C₂³×D₇₉	1	4	yes	—
1191	C₄²	C₂³×D₇₉	1	4	yes	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	316	8	no	—
1202	C₂³	—	316	8	no	—
1203	C₂³	—	316	8	no	—
1204	C₂³	—	79	4	no	—
1205	C₂³	—	79	4	no	—
1206	C₂³	—	79	4	no	—
1207	C₂³	—	632	16	no	—
1208	C₂³	—	158	4	no	—
1209	C₂³	—	158	4	no	—
1210	C₂³	—	158	4	no	—
1211	C₂³	—	158	4	no	—
1212	C₂³	—	158	4	no	—
1213	C₂³	—	158	4	no	—
1214	C₂³	—	158	4	no	—
1215	C₂³	—	158	4	no	—
1216	C₂³	—	158	4	no	—
1217	C₂³	C₂⁴×D₇₉	1	2	yes	—
1218	C₂³	C₂⁴×D₇₉	1	2	yes	—
1219	C₂³	C₂⁴×D₇₉	1	2	yes	—
1220	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1221	Q₈	—	4	4	no	—
1222	Q₈	—	316	8	no	—
1223	Q₈	—	158	8	no	—
1224	Q₈	—	158	8	no	—
1225	Q₈	—	158	8	no	—
1226	D₄	—	4	4	no	—
1227	D₄	—	4	4	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	316	8	no	—
1230	D₄	—	316	8	no	—
1231	D₄	—	316	8	no	—
1232	D₄	—	316	8	no	—
1233	D₄	—	316	8	no	—
1234	D₄	—	316	8	no	—
1235	D₄	—	316	8	no	—
1236	D₄	—	316	8	no	—
1237	D₄	—	316	8	no	—
1238	D₄	—	316	8	no	—
1239	D₄	—	316	8	no	—
1240	D₄	—	316	8	no	—
1241	D₄	—	158	8	no	—
1242	D₄	—	158	8	no	—
1243	D₄	—	158	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	8	no	—
1256	C₂×C₄	—	2	8	no	—
1257	C₂×C₄	—	2	8	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	316	8	no	—
1261	C₂×C₄	—	316	8	no	—
1262	C₂×C₄	—	316	8	no	—
1263	C₂×C₄	—	316	8	no	—
1264	C₂×C₄	—	316	8	no	—
1265	C₂×C₄	—	316	8	no	—
1266	C₂×C₄	—	316	8	no	—
1267	C₂×C₄	—	316	8	no	—
1268	C₂×C₄	—	79	4	no	—
1269	C₂×C₄	—	79	4	no	—
1270	C₂×C₄	—	79	4	no	—
1271	C₂×C₄	—	79	4	no	—
1272	C₂×C₄	—	79	4	no	—
1273	C₂×C₄	—	158	4	no	—
1274	C₂×C₄	—	158	4	no	—
1275	C₂×C₄	—	158	4	no	—
1276	C₂×C₄	—	158	4	no	—
1277	C₂×C₄	—	158	4	no	—
1278	C₂×C₄	#14579207	1	4	yes	—
1279	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1280	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1281	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1282	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1284	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1287	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	4	4	no	—
1301	C₂²	—	4	4	no	—
1302	C₂²	—	4	4	no	—
1303	C₂²	—	316	8	no	—
1304	C₂²	—	316	8	no	—
1305	C₂²	—	316	8	no	—
1306	C₂²	—	632	16	no	—
1307	C₂²	—	158	4	no	—
1308	C₂²	—	158	4	no	—
1309	C₂²	—	158	4	no	—
1310	C₂²	—	158	4	no	—
1311	C₂²	—	158	4	no	—
1312	C₂²	—	158	4	no	—
1313	C₂²	—	158	4	no	—
1314	C₂²	—	158	4	no	—
1315	C₂²	—	158	4	no	—
1316	C₂²	C₂×#14579207	1	2	yes	—
1317	C₂²	#19099399	1	2	yes	—
1318	C₂²	#19099399	1	2	yes	—
1319	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	158	4	no	—
1332	C₄	—	158	4	no	—
1333	C₄	—	158	4	no	—
1334	C₄	—	158	4	no	—
1335	C₄	—	158	4	no	—
1336	C₄	C₂×#14579207	1	4	yes	—
1337	C₂	—	4	2	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	—	316	4	no	—
1341	C₂	—	316	4	no	—
1342	C₂	—	316	4	no	—
1343	C₂	#23777988	1	4	yes	direct product factor
1344	C₂	C₂²×#14579207	1	1	yes	characteristic
1345	C₂	C₂×#19099399	1	1	yes	characteristic
1346	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#529×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#529	D₇₉
hypocenter	C₇₉	C₂×#3562
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #23777988	C₂	direct (N × H)
2. C₂×#19099309	C₂	semidirect
3. C₂×#19099301	C₂	semidirect
4. C₂×#19099298	C₂	semidirect
5. C₂×#19099286	C₂	semidirect
6. C₂×#19099264	C₂	semidirect
7. C₂×#19099238	C₂	semidirect
8. C₂×#19099234	C₂	semidirect
9. C₂×#19099222	C₂	semidirect
10. C₂×#19099222	C₂	semidirect
11. C₂×#19099218	C₂	semidirect
12. C₂×#19099209	C₂	semidirect
13. C₂×#19099209	C₂	semidirect
14. C₂×#19099175	C₂	semidirect
15. C₂×#19099168	C₂	semidirect
16. C₂×#19099165	C₂	semidirect
17. C₂×#19099161	C₂	semidirect
18. C₂×#19099149	C₂	semidirect
19. C₂×#19099147	C₂	semidirect
20. C₂×#19099139	C₂	semidirect
21. C₂×#19099132	C₂	semidirect
22. C₂×#19099113	C₂	semidirect
23. C₂×#19099097	C₂	semidirect
24. C₂×#529×C₇₉	C₂	semidirect
28. C₂²×#11929624	C₂²	semidirect
29. C₂³×Dic₁₅₈	C₂²	semidirect
31. #19099309	C₂²	semidirect
32. #19099301	C₂²	semidirect
33. #19099298	C₂²	semidirect
34. #19099286	C₂²	semidirect
35. #19099264	C₂²	semidirect
36. #19099238	C₂²	semidirect
37. #19099234	C₂²	semidirect
38. #19099222	C₂²	semidirect
39. #19099222	C₂²	semidirect
40. #19099218	C₂²	semidirect
41. #19099209	C₂²	semidirect
42. #19099209	C₂²	semidirect
43. #19099175	C₂²	semidirect
44. #19099168	C₂²	semidirect
45. #19099165	C₂²	semidirect
46. #19099161	C₂²	semidirect
47. #19099149	C₂²	semidirect
48. #19099147	C₂²	semidirect
49. #19099139	C₂²	semidirect
50. #19099132	C₂²	semidirect
51. #19099113	C₂²	semidirect
52. C₂×#14579161	C₂²	semidirect
53. C₂×#14579161	C₂²	semidirect
56. C₂×#14579157	C₂²	semidirect
57. #19099097	C₂²	semidirect
58. C₂×#14579156	C₂²	semidirect
59. C₂×#14579156	C₂²	semidirect
60. C₂×#14579155	C₂²	semidirect
63. C₂×#14579153	C₂²	semidirect
64. C₂×#14579151	C₂²	semidirect
65. C₂×#14579151	C₂²	semidirect
66. C₂×#14579150	C₂²	semidirect
71. C₂×#14579149	C₂²	semidirect
73. C₂×#14579147	C₂²	semidirect
76. C₂×#14579146	C₂²	semidirect
77. C₂×#14579146	C₂²	semidirect
78. C₂×#14579146	C₂²	semidirect
79. C₂×#14579146	C₂²	semidirect
80. C₂×#14579145	C₂²	semidirect
81. C₂×#14579145	C₂²	semidirect
82. C₂×#14579144	C₂²	semidirect
84. C₂×#14579143	C₂²	semidirect
85. C₂×#14579141	C₂²	semidirect
86. C₂×#14579141	C₂²	semidirect
89. C₂×#14579140	C₂²	semidirect
90. C₂×#14579139	C₂²	semidirect
91. C₂×#14579139	C₂²	semidirect
92. C₂×#14579137	C₂²	semidirect
97. C₂×#14579135	C₂²	semidirect
98. C₂×#14579135	C₂²	semidirect
99. C₂×#14579135	C₂²	semidirect
102. C₂×#14579134	C₂²	semidirect
103. C₂×#14579134	C₂²	semidirect
104. C₂×#14579134	C₂²	semidirect
105. C₂×#14579134	C₂²	semidirect
107. C₂×#14579133	C₂²	semidirect
113. C₂×C₄×Dic₁₅₈	C₂²	semidirect
114. C₂×C₄×Dic₁₅₈	C₂²	semidirect
115. C₂×C₄×Dic₁₅₈	C₂²	semidirect
118. C₂×C₄×D₃₁₆	C₂²	semidirect
119. C₂×C₄×D₃₁₆	C₂²	semidirect
120. C₂×C₄×D₃₁₆	C₂²	semidirect
121. C₂×#14579123	C₂²	semidirect
122. C₂×#14579123	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
124. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
125. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
126. C₂×#14579119	C₂²	semidirect
127. C₂×#14579118	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
131. #529×C₇₉	C₂²	semidirect
133. C₂×#126×C₇₉	C₂²	semidirect
134. C₂×#125×C₇₉	C₂²	semidirect
137. C₂×#123×C₇₉	C₂²	semidirect
138. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
140. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
143. C₂×C₄×D₄×C₇₉	C₂²	semidirect
145. C₂×#117×C₇₉	C₂²	semidirect
146. C₂²×C₄²×C₇₉	C₂²	semidirect
155. C₂×#11929624	C₂³	semidirect
161. C₂²×Dic₁₅₈	C₂³	semidirect
187. #14579161	C₂³	semidirect
188. #14579161	C₂³	semidirect
191. #14579157	C₂³	semidirect
192. #14579156	C₂³	semidirect
193. #14579156	C₂³	semidirect
194. #14579155	C₂³	semidirect
197. #14579153	C₂³	semidirect
198. #14579151	C₂³	semidirect
199. #14579151	C₂³	semidirect
200. #14579150	C₂³	semidirect
205. #14579149	C₂³	semidirect
207. #14579147	C₂³	semidirect
210. #14579146	C₂³	semidirect
211. #14579146	C₂³	semidirect
212. #14579146	C₂³	semidirect
213. #14579146	C₂³	semidirect
214. #14579145	C₂³	semidirect
215. #14579145	C₂³	semidirect
216. #14579144	C₂³	semidirect
218. #14579143	C₂³	semidirect
219. #14579141	C₂³	semidirect
220. #14579141	C₂³	semidirect
223. #14579140	C₂³	semidirect
224. #14579139	C₂³	semidirect
225. #14579139	C₂³	semidirect
226. #14579137	C₂³	semidirect
231. #14579135	C₂³	semidirect
232. #14579135	C₂³	semidirect
233. #14579135	C₂³	semidirect
236. #14579134	C₂³	semidirect
237. #14579134	C₂³	semidirect
238. #14579134	C₂³	semidirect
239. #14579134	C₂³	semidirect
241. #14579133	C₂³	semidirect
247. C₄×Dic₁₅₈	C₂³	semidirect
248. C₄×Dic₁₅₈	C₂³	semidirect
249. C₄×Dic₁₅₈	C₂³	semidirect
252. C₄×D₃₁₆	C₂³	semidirect
253. C₄×D₃₁₆	C₂³	semidirect
254. C₄×D₃₁₆	C₂³	semidirect
255. #14579123	C₂³	semidirect
256. #14579123	C₂³	semidirect
257. C₄×C₂²⋊D₇₉	C₂³	semidirect
258. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
259. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
260. #14579119	C₂³	semidirect
261. #14579118	C₂³	semidirect
276. C₄⋊C₄×D₇₉	C₂³	semidirect
311. #126×C₇₉	C₂³	semidirect
312. #125×C₇₉	C₂³	semidirect
315. #123×C₇₉	C₂³	semidirect
316. C₂²⋊Q₈×C₇₉	C₂³	semidirect
318. C₄×Q₈×C₇₉	C₂³	semidirect
321. C₄×D₄×C₇₉	C₂³	semidirect
323. #117×C₇₉	C₂³	semidirect
350. C₂×C₄²×C₇₉	C₂³	semidirect
667. C₂×C₇₉	#3562	semidirect
697. C₂×#529	D₇₉	semidirect
698. C₇₉	C₂×#3562	semidirect
732. #529	C₂×D₇₉	semidirect
739. C₂×#126	C₂×D₇₉	semidirect
743. C₂×#125	C₂×D₇₉	semidirect
765. C₂×#123	C₂×D₇₉	semidirect
774. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
799. C₂×C₄×Q₈	C₂×D₇₉	semidirect
812. C₂×C₄×D₄	C₂×D₇₉	semidirect
816. C₂×#117	C₂×D₇₉	semidirect
820. C₂²×C₄²	C₂×D₇₉	semidirect
881. #126	C₂²×D₇₉	semidirect
885. #125	C₂²×D₇₉	semidirect
907. #123	C₂²×D₇₉	semidirect
916. C₂²⋊Q₈	C₂²×D₇₉	semidirect
941. C₄×Q₈	C₂²×D₇₉	semidirect
954. C₄×D₄	C₂²×D₇₉	semidirect
958. #117	C₂²×D₇₉	semidirect
1024. C₂×C₄²	C₂²×D₇₉	semidirect
1343. C₂	#23777988	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777988	2
C₂×#19099309	2
C₂×#19099301	2
C₂×#19099298	2
C₂×#19099286	2
C₂×#19099264	2
C₂×#19099238	2
C₂×#19099234	2
C₂×#19099222	2
C₂×#19099218	2
C₂×#19099209	2
C₂×#19099175	2
C₂×#19099168	2
C₂×#19099165	2
C₂×#19099161	2
C₂×#19099149	2
C₂×#19099147	2
C₂×#19099139	2
C₂×#19099132	2
C₂×#19099113	2
C₂×#19099097	2
C₂×#529×C₇₉	2
C₂×#3562	79

Subgroups — C2×#23777988 #35195761

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777988 #35195761