Subgroups — #35196803

Order 20224.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099400	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777078	C₂	1	3	yes	maximal, complemented
4	#23777076	C₂	1	3	yes	maximal, complemented
5	#23777073	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777070	C₂	1	1	yes	maximal, characteristic, complemented
7	#23777069	C₂	1	1	yes	maximal, characteristic, complemented
8	#23777064	C₂	1	3	yes	maximal, complemented
9	#23777061	C₂	1	3	yes	maximal, complemented
10	#23777057	C₂	1	2	yes	maximal, complemented
11	#23777050	C₂	1	2	yes	maximal, complemented
12	#23777039	C₂	1	6	yes	maximal, complemented
13	#23777030	C₂	1	6	yes	maximal, complemented
14	D₄×#11929625	C₂	1	2	yes	maximal, complemented
15	#23776889	C₂	1	2	yes	maximal, complemented
16	#23776887	C₂	1	6	yes	maximal, complemented
17	#23776884	C₂	1	6	yes	maximal, complemented
18	#23776732	C₂	1	3	yes	maximal, complemented
19	#23776728	C₂	1	3	yes	maximal, complemented
20	C₂×#19099076	C₂	1	3	yes	maximal, complemented
21	#525×D₇₉	C₂	1	3	yes	maximal, complemented
22	#23776600	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3489	C₂	1	1	yes	maximal, characteristic, complemented
24	#19099400	—	2	16	no	—
25	C₂×#14579209	C₂²	1	2	yes	complemented
26	C₂×#14579209	C₂²	1	3	yes	complemented
27	C₂×#14579207	C₂²	1	6	yes	complemented
28	C₂×#14579207	C₂²	1	3	yes	complemented
29	C₂×#14579207	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11929625	C₂²	1	3	yes	complemented
32	C₂²×#11929625	C₂²	1	2	yes	complemented
33	C₂²×#11929624	C₂²	1	3	yes	complemented
34	C₂²×#11929623	C₂²	1	3	yes	complemented
35	C₂×#41×D₇₉	—	2	16	no	—
36	C₂×#41×D₇₉	C₂²	1	1	yes	characteristic
37	C₂×#41×D₇₉	C₂²	1	3	yes	complemented
38	C₂×#41×D₇₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#41×D₇₉	C₂²	1	3	yes	complemented
40	C₂×#41×D₇₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#41×D₇₉	C₂²	1	3	yes	complemented
42	C₂×#41×D₇₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×#41×D₇₉	C₂²	1	3	yes	complemented
44	C₂×#41×D₇₉	C₂²	1	3	yes	complemented
45	C₂×#41×D₇₉	C₂²	1	6	yes	complemented
46	C₂²×Q₈×D₇₉	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₄×D₇₉	C₂²	1	3	yes	complemented
48	C₂³×C₄×D₇₉	C₂²	1	3	yes	complemented
49	#19099235	C₂²	1	2	yes	complemented
50	#19099234	C₂²	1	6	yes	complemented
51	#19099232	C₂²	1	2	yes	complemented
52	#19099231	C₂²	1	6	yes	complemented
53	#19099228	C₂²	1	6	yes	complemented
54	Q₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
55	#19099226	C₂²	1	6	yes	complemented
56	#19099225	C₂²	1	2	yes	complemented
57	#19099224	C₂²	1	2	yes	complemented
58	#19099224	C₂²	1	2	yes	complemented
59	#19099223	C₂²	1	6	yes	complemented
60	#19099223	C₂²	1	6	yes	complemented
61	#19099222	C₂²	1	6	yes	complemented
62	#19099221	C₂²	1	6	yes	complemented
63	#19099216	C₂²	1	6	yes	complemented
64	#19099215	C₂²	1	6	yes	complemented
65	#19099214	C₂²	1	12	yes	complemented
66	#19099212	C₂²	1	6	yes	complemented
67	#19099211	C₂²	1	12	yes	complemented
68	#19099209	C₂²	1	6	yes	complemented
69	#19099208	C₂²	1	6	yes	complemented
70	#19099206	C₂²	1	6	yes	complemented
71	#19099205	C₂²	1	12	yes	complemented
72	#19099205	C₂²	1	12	yes	complemented
73	#19099204	C₂²	1	6	yes	complemented
74	#19099204	C₂²	1	6	yes	complemented
75	#19099203	C₂²	1	12	yes	complemented
76	#19099202	C₂²	1	12	yes	complemented
77	#19099201	C₂²	1	6	yes	complemented
78	#19099201	C₂²	1	6	yes	complemented
79	D₄×D₃₁₆	C₂²	1	6	yes	complemented
80	D₄×D₃₁₆	C₂²	1	6	yes	complemented
81	#19099197	C₂²	1	6	yes	complemented
82	#19099197	C₂²	1	12	yes	complemented
83	D₄×C₂²⋊D₇₉	C₂²	1	6	yes	complemented
84	#19099195	C₂²	1	12	yes	complemented
85	#19099144	C₂²	1	3	yes	complemented
86	#19099143	C₂²	1	6	yes	complemented
87	#19099143	C₂²	1	6	yes	complemented
88	#19099141	C₂²	1	3	yes	complemented
89	#19099141	C₂²	1	3	yes	complemented
90	#19099138	C₂²	1	6	yes	complemented
91	#19099137	C₂²	1	3	yes	complemented
92	#19099136	C₂²	1	6	yes	complemented
93	#19099136	C₂²	1	6	yes	complemented
94	#19099132	C₂²	1	3	yes	complemented
95	#19099131	C₂²	1	6	yes	complemented
96	#19099129	C₂²	1	6	yes	complemented
97	#19099129	C₂²	1	6	yes	complemented
98	#19099127	C₂²	1	3	yes	complemented
99	#19099124	C₂²	1	12	yes	complemented
100	#19099121	C₂²	1	12	yes	complemented
101	#19099114	C₂²	1	6	yes	complemented
102	#19099112	C₂²	1	6	yes	complemented
103	#19099108	C₂²	1	12	yes	complemented
104	#19099076	C₂²	1	6	yes	complemented
105	#19099076	C₂²	1	3	yes	complemented
106	#19099076	C₂²	1	6	yes	complemented
107	#19099076	C₂²	1	3	yes	complemented
108	#19099076	C₂²	1	6	yes	complemented
109	#19099076	C₂²	1	6	yes	complemented
110	#19099076	C₂²	1	6	yes	complemented
111	#19099076	C₂²	1	6	yes	complemented
112	#19099076	C₂²	1	6	yes	complemented
113	#19099076	C₂²	1	6	yes	complemented
114	#19099075	C₂²	1	3	yes	complemented
115	#19099074	C₂²	1	3	yes	complemented
116	#19099073	C₂²	1	1	yes	characteristic, complemented
117	#19099073	C₂²	1	3	yes	complemented
118	#19099073	C₂²	1	6	yes	complemented
119	#19099072	C₂²	1	6	yes	complemented
120	#19099072	C₂²	1	6	yes	complemented
121	#19099071	C₂²	1	12	yes	complemented
122	#19099071	C₂²	1	6	yes	complemented
123	#19099070	C₂²	1	3	yes	complemented
124	#19099069	C₂²	1	6	yes	complemented
125	C₂×#14579146	C₂²	1	6	yes	complemented
126	#123×D₇₉	C₂²	1	6	yes	complemented
127	C₂×#14579137	C₂²	1	3	yes	complemented
128	C₂²⋊Q₈×D₇₉	C₂²	1	3	yes	complemented
129	C₂²⋊Q₈×D₇₉	C₂²	1	3	yes	complemented
130	C₂×#14579136	C₂²	1	3	yes	complemented
131	C₂×#14579135	C₂²	1	3	yes	complemented
132	#121×D₇₉	C₂²	1	3	yes	complemented
133	#121×D₇₉	C₂²	1	3	yes	complemented
134	C₂×#14579131	C₂²	1	6	yes	complemented
135	#120×D₇₉	C₂²	1	6	yes	complemented
136	#19099046	C₂²	1	1	yes	characteristic, complemented
137	#19099044	C₂²	1	3	yes	complemented
138	#19099043	C₂²	1	3	yes	complemented
139	#19099039	C₂²	1	2	yes	complemented
140	#19099035	C₂²	1	6	yes	complemented
141	C₄×#11929625	C₂²	1	2	yes	complemented
142	C₄×#11929623	C₂²	1	6	yes	complemented
143	C₂×#14579123	C₂²	1	6	yes	complemented
144	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	6	yes	complemented
145	C₄×D₄×D₇₉	C₂²	1	6	yes	complemented
146	C₄×D₄×D₇₉	C₂²	1	6	yes	complemented
147	C₂×#14579119	C₂²	1	3	yes	complemented
148	#117×D₇₉	C₂²	1	3	yes	complemented
149	C₂×2₋¹⁺⁴×C₇₉	C₂²	1	1	yes	characteristic, complemented
150	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
151	D₄×Q₈×C₇₉	C₂²	1	2	yes	complemented
152	#548×C₇₉	C₂²	1	2	yes	complemented
153	#547×C₇₉	C₂²	1	6	yes	complemented
154	#546×C₇₉	C₂²	1	6	yes	complemented
155	#537×C₇₉	C₂²	1	3	yes	complemented
156	#536×C₇₉	C₂²	1	3	yes	complemented
157	#525×C₇₉	C₂²	1	3	yes	complemented
158	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	3	yes	complemented
159	#520×C₇₉	C₂²	1	1	yes	characteristic, complemented
160	C₂⁴×D₇₉	C₂³	1	3	yes	—
161	#14579209	—	2	24	no	—
162	#14579209	—	2	16	no	—
163	#14579207	—	2	8	no	—
164	#14579207	—	2	24	no	—
165	#14579207	—	2	48	no	—
166	C₂×#11929625	—	2	16	no	—
167	C₂×#11929625	—	2	8	no	—
168	C₂×#11929625	—	2	24	no	—
169	C₂×#11929625	C₂³	1	6	yes	—
170	C₂×#11929625	C₂³	1	3	yes	—
171	C₂×#11929625	C₂³	1	1	yes	characteristic
172	C₂×#11929625	C₂³	1	3	yes	—
173	C₂×#11929625	C₂³	1	3	yes	—
174	C₂×#11929625	C₂³	1	1	yes	characteristic
175	C₂×#11929625	C₂³	1	6	yes	complemented
176	C₂×#11929625	C₂³	1	6	yes	complemented
177	C₂×#11929625	C₂³	1	2	yes	complemented
178	C₂×#11929625	C₂³	1	6	yes	complemented
179	C₂×#11929624	—	2	24	no	—
180	C₂×#11929624	C₂³	1	6	yes	—
181	C₂×#11929624	C₂³	1	6	yes	—
182	C₂×#11929624	C₂³	1	3	yes	—
183	C₂×#11929624	C₂³	1	6	yes	—
184	C₂×#11929624	C₂³	1	3	yes	—
185	C₂×#11929624	C₂³	1	3	yes	—
186	C₂×#11929624	C₂³	1	3	yes	—
187	C₂×#11929624	C₂³	1	3	yes	complemented
188	C₂×#11929624	C₂³	1	12	yes	complemented
189	C₂×#11929624	C₂³	1	6	yes	complemented
190	C₂×#11929623	—	2	24	no	—
191	C₂×#11929623	C₂³	1	6	yes	—
192	C₂×#11929623	C₂³	1	3	yes	—
193	C₂×#11929623	C₂³	1	3	yes	—
194	C₂×#11929623	C₂³	1	6	yes	—
195	C₂×#11929623	C₂³	1	1	yes	characteristic
196	C₂×#11929623	C₂³	1	3	yes	—
197	C₂×#11929623	C₂³	1	3	yes	—
198	C₂×#11929623	C₂³	1	6	yes	complemented
199	#41×D₇₉	—	2	8	no	—
200	#41×D₇₉	—	2	8	no	—
201	#41×D₇₉	—	2	24	no	—
202	#41×D₇₉	—	2	48	no	—
203	#41×D₇₉	—	2	24	no	—
204	#41×D₇₉	—	2	8	no	—
205	#41×D₇₉	—	2	24	no	—
206	#41×D₇₉	—	2	24	no	—
207	#41×D₇₉	—	2	24	no	—
208	#41×D₇₉	D₄	1	16	yes	complemented
209	C₂²×Dic₁₅₈	C₂³	1	3	yes	—
210	C₂×Q₈×D₇₉	—	2	8	no	—
211	C₂×Q₈×D₇₉	C₂³	1	3	yes	—
212	C₂×Q₈×D₇₉	C₂³	1	3	yes	—
213	C₂×Q₈×D₇₉	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₇₉	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₇₉	C₂³	1	3	yes	complemented
216	C₂×Q₈×D₇₉	C₂³	1	6	yes	complemented
217	C₂²×D₃₁₆	C₂³	1	6	yes	—
218	C₂²×D₃₁₆	C₂³	1	3	yes	—
219	C₂²×D₃₁₆	C₂³	1	6	yes	—
220	C₂²×D₃₁₆	C₂³	1	6	yes	complemented
221	C₂²×D₃₁₆	C₂³	1	3	yes	complemented
222	C₂²×C₂²⋊D₇₉	C₂³	1	6	yes	—
223	C₂²×C₂²⋊D₇₉	C₂³	1	6	yes	—
224	C₂×D₄×D₇₉	—	2	24	no	—
225	C₂×D₄×D₇₉	C₂³	1	6	yes	—
226	C₂×D₄×D₇₉	C₂³	1	6	yes	—
227	C₂×D₄×D₇₉	C₂³	1	3	yes	—
228	C₂×D₄×D₇₉	C₂³	1	3	yes	—
229	C₂×D₄×D₇₉	C₂³	1	6	yes	—
230	C₂×D₄×D₇₉	C₂³	1	3	yes	—
231	C₂×D₄×D₇₉	C₂³	1	6	yes	—
232	C₂×D₄×D₇₉	C₂³	1	6	yes	—
233	C₂×D₄×D₇₉	C₂³	1	3	yes	—
234	C₂×D₄×D₇₉	C₂³	1	12	yes	complemented
235	C₂×D₄×D₇₉	C₂³	1	6	yes	complemented
236	C₂×D₄×D₇₉	C₂³	1	3	yes	complemented
237	C₂³×Dic₇₉	C₂³	1	3	yes	—
238	C₂²×C₄×D₇₉	—	2	24	no	—
239	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
240	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
241	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
242	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
243	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
244	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
245	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
246	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
247	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
248	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
250	C₂²×C₄×D₇₉	C₂³	1	3	yes	—
251	C₂²×C₄×D₇₉	C₂³	1	6	yes	complemented
252	C₂²×C₄×D₇₉	C₂³	1	6	yes	complemented
253	#14579160	C₂³	1	12	yes	complemented
254	#14579159	C₂³	1	6	yes	complemented
255	#14579158	C₂³	1	6	yes	complemented
256	#14579157	C₂³	1	12	yes	complemented
257	#14579157	C₂³	1	6	yes	complemented
258	#14579150	C₂³	1	6	yes	complemented
259	#14579150	C₂³	1	6	yes	complemented
260	#14579149	C₂³	1	6	yes	complemented
261	#14579147	C₂³	1	12	yes	complemented
262	#14579147	C₂³	1	12	yes	complemented
263	#14579146	C₂³	1	12	yes	—
264	#14579146	C₂³	1	6	yes	—
265	#14579146	C₂³	1	6	yes	—
266	#14579146	C₂³	1	12	yes	complemented
267	#14579146	C₂³	1	12	yes	complemented
268	#14579146	C₂³	1	12	yes	complemented
269	#14579145	C₂³	1	6	yes	complemented
270	#14579144	C₂³	1	12	yes	complemented
271	#14579144	C₂³	1	6	yes	complemented
272	#14579143	C₂³	1	6	yes	—
273	#14579143	C₂³	1	2	yes	—
274	#14579143	C₂³	1	12	yes	complemented
275	#14579142	C₂³	1	6	yes	complemented
276	#14579141	C₂³	1	1	yes	characteristic
277	#14579141	C₂³	1	3	yes	complemented
278	#14579141	C₂³	1	6	yes	complemented
279	#14579140	C₂³	1	1	yes	characteristic
280	#14579140	C₂³	1	3	yes	complemented
281	#14579140	C₂³	1	6	yes	complemented
282	#14579139	C₂³	1	6	yes	—
283	#14579139	C₂³	1	12	yes	complemented
284	#14579139	C₂³	1	12	yes	complemented
285	#14579139	C₂³	1	6	yes	complemented
286	#14579138	C₂³	1	6	yes	—
287	#14579138	C₂³	1	6	yes	complemented
288	#14579137	C₂³	1	6	yes	—
289	#14579137	C₂³	1	3	yes	—
290	#14579137	C₂³	1	6	yes	complemented
291	#14579137	C₂³	1	6	yes	complemented
292	#14579137	C₂³	1	3	yes	complemented
293	#14579137	C₂³	1	6	yes	complemented
294	#14579136	C₂³	1	6	yes	—
295	#14579136	C₂³	1	3	yes	—
296	#14579136	C₂³	1	3	yes	complemented
297	#14579136	C₂³	1	6	yes	complemented
298	#14579136	C₂³	1	12	yes	complemented
299	#14579136	C₂³	1	12	yes	complemented
300	#14579136	C₂³	1	6	yes	complemented
301	#14579136	C₂³	1	6	yes	complemented
302	#14579135	C₂³	1	6	yes	—
303	#14579135	C₂³	1	3	yes	—
304	#14579135	C₂³	1	6	yes	complemented
305	#14579135	C₂³	1	6	yes	complemented
306	#14579135	C₂³	1	3	yes	complemented
307	#14579135	C₂³	1	12	yes	complemented
308	#14579135	C₂³	1	6	yes	complemented
309	#14579134	C₂³	1	6	yes	—
310	#14579134	C₂³	1	12	yes	complemented
311	#14579134	C₂³	1	12	yes	complemented
312	#14579134	C₂³	1	12	yes	complemented
313	#14579134	C₂³	1	12	yes	complemented
314	#14579134	C₂³	1	6	yes	complemented
315	#14579133	C₂³	1	6	yes	—
316	#14579133	C₂³	1	12	yes	complemented
317	#14579133	C₂³	1	12	yes	complemented
318	#14579133	C₂³	1	6	yes	complemented
319	#14579132	C₂³	1	1	yes	characteristic
320	#14579132	C₂³	1	3	yes	complemented
321	#14579132	C₂³	1	6	yes	complemented
322	#14579131	C₂³	1	12	yes	—
323	#14579131	C₂³	1	12	yes	—
324	#14579131	C₂³	1	6	yes	—
325	#14579131	C₂³	1	6	yes	—
326	#14579131	C₂³	1	6	yes	—
327	#14579131	C₂³	1	12	yes	—
328	#14579131	C₂³	1	12	yes	complemented
329	#14579131	C₂³	1	12	yes	complemented
330	#14579130	C₂³	1	6	yes	—
331	#14579129	C₂³	1	6	yes	—
332	#14579129	C₂³	1	2	yes	—
333	#14579129	C₂³	1	6	yes	—
334	#14579129	C₂³	1	12	yes	complemented
335	#14579129	C₂³	1	12	yes	complemented
336	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
337	C₄×Dic₁₅₈	C₂³	1	6	yes	complemented
338	#14579126	C₂³	1	6	yes	complemented
339	C₄×D₃₁₆	C₂³	1	6	yes	—
340	C₄×D₃₁₆	C₂³	1	6	yes	complemented
341	C₄×D₃₁₆	C₂³	1	6	yes	complemented
342	D₄×Dic₇₉	C₂³	1	2	yes	—
343	D₄×Dic₇₉	C₂³	1	6	yes	complemented
344	D₄×Dic₇₉	C₂³	1	6	yes	complemented
345	#14579123	C₂³	1	12	yes	—
346	#14579123	C₂³	1	6	yes	—
347	#14579123	C₂³	1	6	yes	complemented
348	#14579123	C₂³	1	12	yes	complemented
349	#14579123	C₂³	1	6	yes	complemented
350	#14579123	C₂³	1	12	yes	complemented
351	C₄×C₂²⋊D₇₉	C₂³	1	6	yes	—
352	C₄×C₂²⋊D₇₉	C₂³	1	6	yes	—
353	C₄×C₂²⋊D₇₉	C₂³	1	12	yes	complemented
354	C₄×C₂²⋊D₇₉	C₂³	1	6	yes	complemented
355	C₄×C₂²⋊D₇₉	C₂³	1	6	yes	complemented
356	(C₂²⋊D₇₉)⋊C₄	C₂³	1	12	yes	—
357	(C₂²⋊D₇₉)⋊C₄	C₂³	1	2	yes	—
358	(C₂²⋊D₇₉)⋊C₄	C₂³	1	6	yes	—
359	(C₂²⋊D₇₉)⋊C₄	C₂³	1	12	yes	complemented
360	(C₂²⋊D₇₉)⋊C₄	C₂³	1	12	yes	complemented
361	(C₂²⋊D₇₉)⋊C₄	C₂³	1	6	yes	complemented
362	(C₂²⋊D₇₉)⋊C₄	C₂³	1	6	yes	complemented
363	(C₂²⋊D₇₉)⋊C₄	C₂³	1	12	yes	complemented
364	#14579120	C₂³	1	3	yes	complemented
365	#14579119	C₂³	1	6	yes	—
366	#14579119	C₂³	1	1	yes	characteristic
367	#14579119	C₂³	1	3	yes	—
368	#14579119	C₂³	1	6	yes	complemented
369	#14579119	C₂³	1	6	yes	complemented
370	#14579118	C₂³	1	6	yes	—
371	#14579117	C₂³	1	6	yes	complemented
372	C₂×C₄⋊Dic₇₉	C₂³	1	3	yes	complemented
373	C₂×Dic₇₉⋊C₄	C₂³	1	6	yes	complemented
374	C₄⋊C₄×D₇₉	C₂³	1	3	yes	complemented
375	C₄⋊C₄×D₇₉	C₂³	1	3	yes	complemented
376	C₄⋊C₄×D₇₉	C₂³	1	6	yes	complemented
377	C₄⋊C₄×D₇₉	C₂³	1	6	yes	complemented
378	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	6	yes	—
379	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	6	yes	—
380	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	6	yes	complemented
381	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	6	yes	complemented
382	C₂²⋊C₄×D₇₉	C₂³	1	6	yes	—
383	C₂²⋊C₄×D₇₉	C₂³	1	6	yes	—
384	C₂²⋊C₄×D₇₉	C₂³	1	6	yes	—
385	C₂²⋊C₄×D₇₉	C₂³	1	6	yes	complemented
386	C₂²⋊C₄×D₇₉	C₂³	1	6	yes	complemented
387	C₂×C₄×Dic₇₉	C₂³	1	6	yes	complemented
388	C₄²×D₇₉	C₂³	1	6	yes	complemented
389	2₋¹⁺⁴×C₇₉	—	2	8	no	—
390	C₂×#41×C₇₉	—	2	8	no	—
391	C₂×#41×C₇₉	C₂³	1	3	yes	—
392	C₂×#41×C₇₉	C₂³	1	3	yes	—
393	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
394	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
395	C₂×#41×C₇₉	C₂³	1	3	yes	complemented
396	C₂×#41×C₇₉	C₂³	1	6	yes	complemented
397	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
398	C₂²×Q₈×C₇₉	C₂³	1	3	yes	complemented
399	C₂²×Q₈×C₇₉	C₂³	1	2	yes	complemented
400	C₂²×D₄×C₇₉	C₂³	1	3	yes	—
401	C₂³×C₄×C₇₉	C₂³	1	3	yes	—
402	C₄⋊Q₈×C₇₉	C₂³	1	6	yes	complemented
403	#124×C₇₉	C₂³	1	6	yes	complemented
404	#123×C₇₉	C₂³	1	6	yes	complemented
405	#123×C₇₉	C₂³	1	12	yes	complemented
406	C₂²⋊Q₈×C₇₉	C₂³	1	6	yes	—
407	C₂²⋊Q₈×C₇₉	C₂³	1	3	yes	—
408	C₂²⋊Q₈×C₇₉	C₂³	1	6	yes	complemented
409	C₂²⋊Q₈×C₇₉	C₂³	1	6	yes	complemented
410	C₂²⋊Q₈×C₇₉	C₂³	1	3	yes	complemented
411	C₂²⋊Q₈×C₇₉	C₂³	1	6	yes	complemented
412	#121×C₇₉	C₂³	1	1	yes	characteristic
413	#121×C₇₉	C₂³	1	12	yes	complemented
414	#121×C₇₉	C₂³	1	6	yes	complemented
415	#121×C₇₉	C₂³	1	3	yes	complemented
416	#120×C₇₉	C₂³	1	6	yes	—
417	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
418	C₄×D₄×C₇₉	C₂³	1	6	yes	—
419	C₄×D₄×C₇₉	C₂³	1	6	yes	complemented
420	C₄×D₄×C₇₉	C₂³	1	6	yes	complemented
421	#117×C₇₉	C₂³	1	3	yes	complemented
422	C₂×C₄⋊C₄×C₇₉	C₂³	1	3	yes	complemented
423	C₂×C₄⋊C₄×C₇₉	C₂³	1	6	yes	complemented
424	C₂×C₂²⋊C₄×C₇₉	C₂³	1	6	yes	—
425	C₂³×D₇₉	—	2	12	no	—
426	C₂³×D₇₉	—	4	6	no	—
427	C₂³×D₇₉	—	4	6	no	—
428	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
429	C₂³×D₇₉	C₂⁴	1	3	yes	—
430	C₂³×D₇₉	C₂⁴	1	3	yes	—
431	C₂³×D₇₉	C₂⁴	1	3	yes	—
432	C₂³×D₇₉	C₂⁴	1	3	yes	—
433	C₂³×D₇₉	C₂⁴	1	6	yes	—
434	C₂³×D₇₉	C₂⁴	1	6	yes	—
435	C₂³×D₇₉	C₂⁴	1	3	yes	—
436	#11929625	—	2	12	no	—
437	#11929625	—	2	24	no	—
438	#11929625	—	2	12	no	—
439	#11929625	—	2	12	no	—
440	#11929625	—	2	24	no	—
441	#11929625	—	2	24	no	—
442	#11929625	—	2	24	no	—
443	#11929625	—	2	4	no	—
444	#11929625	—	2	8	no	—
445	#11929625	C₂×D₄	1	8	yes	complemented
446	#11929624	—	2	12	no	—
447	#11929624	—	2	24	no	—
448	#11929624	—	2	24	no	—
449	#11929624	—	2	12	no	—
450	#11929624	—	2	24	no	—
451	#11929624	—	2	12	no	—
452	#11929624	—	2	12	no	—
453	#11929624	—	2	24	no	—
454	#11929624	—	2	48	no	—
455	#11929624	C₂×D₄	1	24	yes	complemented
456	#11929623	—	2	24	no	—
457	#11929623	—	2	24	no	—
458	#11929623	—	2	4	no	—
459	#11929623	—	2	12	no	—
460	#11929623	—	2	12	no	—
461	#11929623	—	2	12	no	—
462	#11929623	—	2	24	no	—
463	#11929623	C₂×D₄	1	24	yes	complemented
464	C₂×Dic₁₅₈	—	2	12	no	—
465	C₂×Dic₁₅₈	C₂⁴	1	6	yes	—
466	C₂×Dic₁₅₈	C₂⁴	1	3	yes	—
467	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
468	C₂×Dic₁₅₈	C₂⁴	1	6	yes	—
469	C₂×Dic₁₅₈	C₂⁴	1	3	yes	—
470	Q₈×D₇₉	—	2	12	no	—
471	Q₈×D₇₉	—	2	12	no	—
472	Q₈×D₇₉	—	2	12	no	—
473	Q₈×D₇₉	—	2	24	no	—
474	Q₈×D₇₉	—	2	4	no	—
475	Q₈×D₇₉	C₂×D₄	1	8	yes	complemented
476	C₂×D₃₁₆	—	2	12	no	—
477	C₂×D₃₁₆	—	2	24	no	—
478	C₂×D₃₁₆	—	2	24	no	—
479	C₂×D₃₁₆	—	2	12	no	—
480	C₂×D₃₁₆	—	4	12	no	—
481	C₂×D₃₁₆	C₂⁴	1	6	yes	—
482	C₂×D₃₁₆	C₂⁴	1	3	yes	—
483	C₂×D₃₁₆	C₂⁴	1	6	yes	—
484	C₂×D₃₁₆	C₂⁴	1	3	yes	—
485	C₂×D₃₁₆	C₂⁴	1	6	yes	—
486	C₂×D₃₁₆	C₂⁴	1	12	yes	—
487	C₂×D₃₁₆	C₂⁴	1	6	yes	—
488	C₂×D₃₁₆	C₂⁴	1	12	yes	—
489	C₂×D₃₁₆	C₂⁴	1	6	yes	—
490	C₂×D₃₁₆	C₂⁴	1	3	yes	—
491	C₂×C₂²⋊D₇₉	—	2	24	no	—
492	C₂×C₂²⋊D₇₉	—	4	12	no	—
493	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
494	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
495	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
496	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
497	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
498	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
499	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
500	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
501	C₂×C₂²⋊D₇₉	C₂⁴	1	12	yes	—
502	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
503	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
504	C₂×C₂²⋊D₇₉	C₂⁴	1	6	yes	—
505	D₄×D₇₉	—	2	12	no	—
506	D₄×D₇₉	—	2	12	no	—
507	D₄×D₇₉	—	2	12	no	—
508	D₄×D₇₉	—	2	24	no	—
509	D₄×D₇₉	—	2	24	no	—
510	D₄×D₇₉	—	2	12	no	—
511	D₄×D₇₉	—	2	24	no	—
512	D₄×D₇₉	—	2	24	no	—
513	D₄×D₇₉	—	2	48	no	—
514	D₄×D₇₉	—	4	12	no	—
515	D₄×D₇₉	—	4	12	no	—
516	D₄×D₇₉	C₂×D₄	1	24	yes	complemented
517	C₂²×Dic₇₉	—	2	12	no	—
518	C₂²×Dic₇₉	C₂⁴	1	3	yes	—
519	C₂²×Dic₇₉	C₂⁴	1	3	yes	—
520	C₂²×Dic₇₉	C₂⁴	1	3	yes	—
521	C₂²×Dic₇₉	C₂⁴	1	3	yes	—
522	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
523	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
524	C₂²×Dic₇₉	C₂⁴	1	6	yes	—
525	C₂²×Dic₇₉	C₂⁴	1	3	yes	—
526	C₂×C₄×D₇₉	—	2	24	no	—
527	C₂×C₄×D₇₉	—	2	12	no	—
528	C₂×C₄×D₇₉	—	2	12	no	—
529	C₂×C₄×D₇₉	—	2	24	no	—
530	C₂×C₄×D₇₉	—	2	12	no	—
531	C₂×C₄×D₇₉	—	2	12	no	—
532	C₂×C₄×D₇₉	—	2	12	no	—
533	C₂×C₄×D₇₉	—	2	12	no	—
534	C₂×C₄×D₇₉	—	2	12	no	—
535	C₂×C₄×D₇₉	—	2	12	no	—
536	C₂×C₄×D₇₉	—	2	4	no	—
537	C₂×C₄×D₇₉	—	2	12	no	—
538	C₂×C₄×D₇₉	—	2	12	no	—
539	C₂×C₄×D₇₉	C₂×D₄	1	24	yes	complemented
540	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
541	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
542	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
543	C₂×C₄×D₇₉	C₂⁴	1	6	yes	—
544	C₂×C₄×D₇₉	C₂⁴	1	12	yes	—
545	C₂×C₄×D₇₉	C₂⁴	1	6	yes	—
546	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
547	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
548	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
549	C₂×C₄×D₇₉	C₂⁴	1	6	yes	—
550	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
551	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
552	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
553	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₇₉	C₂⁴	1	6	yes	—
557	C₂×C₄×D₇₉	C₂⁴	1	6	yes	—
558	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
559	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
560	C₂×C₄×D₇₉	C₂⁴	1	3	yes	—
561	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
562	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
563	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
564	C₄⋊Dic₇₉	C₂⁴	1	3	yes	—
565	C₄⋊Dic₇₉	C₂⁴	1	6	yes	—
566	C₄⋊Dic₇₉	C₂⁴	1	6	yes	—
567	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
568	Dic₇₉⋊C₄	C₂⁴	1	6	yes	—
569	Dic₇₉⋊C₄	C₂⁴	1	6	yes	—
570	Dic₇₉⋊C₄	C₂⁴	1	6	yes	—
571	Dic₇₉⋊C₄	C₂⁴	1	6	yes	—
572	Dic₇₉⋊C₄	C₂⁴	1	6	yes	—
573	Dic₇₉⋊C₄	C₂⁴	1	12	yes	—
574	C₂²⋊Dic₇₉	C₂⁴	1	2	yes	—
575	C₂²⋊Dic₇₉	C₂⁴	1	6	yes	—
576	C₂²⋊Dic₇₉	C₂⁴	1	6	yes	—
577	C₂²⋊Dic₇₉	C₂⁴	1	2	yes	—
578	C₂²⋊Dic₇₉	C₂⁴	1	6	yes	—
579	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
580	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
581	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
582	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
583	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
584	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
585	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
586	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
587	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
588	(C₂×D₇₉)⋊C₄	C₂⁴	1	6	yes	—
589	(C₂×D₇₉)⋊C₄	C₂⁴	1	12	yes	—
590	(C₂×D₇₉)⋊C₄	C₂⁴	1	12	yes	—
591	(C₂×D₇₉)⋊C₄	C₂⁴	1	12	yes	—
592	(C₂×D₇₉)⋊C₄	C₂⁴	1	12	yes	—
593	C₄×Dic₇₉	C₂⁴	1	2	yes	—
594	C₄×Dic₇₉	C₂⁴	1	6	yes	—
595	C₄×Dic₇₉	C₂⁴	1	6	yes	—
596	C₄×Dic₇₉	C₂⁴	1	12	yes	—
597	C₂⁴×C₇₉	C₂⁴	1	3	yes	—
598	#41×C₇₉	—	2	4	no	—
599	#41×C₇₉	—	2	12	no	—
600	#41×C₇₉	—	2	24	no	—
601	#41×C₇₉	—	2	12	no	—
602	#41×C₇₉	—	2	12	no	—
603	#41×C₇₉	C₂×D₄	1	8	yes	complemented
604	C₂×Q₈×C₇₉	—	2	4	no	—
605	C₂×Q₈×C₇₉	—	2	8	no	—
606	C₂×Q₈×C₇₉	—	2	12	no	—
607	C₂×Q₈×C₇₉	C₂⁴	1	3	yes	—
608	C₂×Q₈×C₇₉	C₂⁴	1	3	yes	—
609	C₂×Q₈×C₇₉	C₂⁴	1	6	yes	—
610	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
611	C₂×D₄×C₇₉	—	2	12	no	—
612	C₂×D₄×C₇₉	C₂⁴	1	6	yes	—
613	C₂×D₄×C₇₉	C₂⁴	1	3	yes	—
614	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
615	C₂×D₄×C₇₉	C₂⁴	1	6	yes	—
616	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
617	C₂×D₄×C₇₉	C₂⁴	1	6	yes	—
618	C₂×D₄×C₇₉	C₂⁴	1	3	yes	—
619	C₂²×C₄×C₇₉	—	2	12	no	—
620	C₂²×C₄×C₇₉	C₂⁴	1	3	yes	—
621	C₂²×C₄×C₇₉	C₂⁴	1	3	yes	—
622	C₂²×C₄×C₇₉	C₂⁴	1	3	yes	—
623	C₂²×C₄×C₇₉	C₂⁴	1	3	yes	—
624	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
625	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
626	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
628	C₂²×C₄×C₇₉	C₂⁴	1	3	yes	—
629	C₄⋊C₄×C₇₉	C₂⁴	1	3	yes	—
630	C₄⋊C₄×C₇₉	C₂⁴	1	6	yes	—
631	C₄⋊C₄×C₇₉	C₂⁴	1	6	yes	—
632	C₄⋊C₄×C₇₉	C₂⁴	1	12	yes	—
633	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
634	C₄⋊C₄×C₇₉	C₂⁴	1	6	yes	—
635	C₂²⋊C₄×C₇₉	C₂⁴	1	6	yes	—
636	C₂²⋊C₄×C₇₉	C₂⁴	1	12	yes	—
637	C₂²⋊C₄×C₇₉	C₂⁴	1	6	yes	—
638	C₂²⋊C₄×C₇₉	C₂⁴	1	6	yes	—
639	C₂²⋊C₄×C₇₉	C₂⁴	1	2	yes	—
640	C₂²⋊C₄×C₇₉	C₂⁴	1	6	yes	—
641	C₄²×C₇₉	C₂⁴	1	6	yes	—
642	C₂³×C₇₉	—	2	6	no	—
643	C₂³×C₇₉	—	2	6	no	—
644	C₂³×C₇₉	—	4	3	no	—
645	C₂³×C₇₉	C₂⁵	1	2	yes	—
646	C₂³×C₇₉	C₂⁵	1	3	yes	—
647	C₂³×C₇₉	C₂⁵	1	3	yes	—
648	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
649	C₂²×D₇₉	—	2	2	no	—
650	C₂²×D₇₉	—	2	2	no	—
651	C₂²×D₇₉	—	2	2	no	—
652	C₂²×D₇₉	—	2	6	no	—
653	C₂²×D₇₉	—	2	6	no	—
654	C₂²×D₇₉	—	2	12	no	—
655	C₂²×D₇₉	—	2	6	no	—
656	C₂²×D₇₉	—	2	6	no	—
657	C₂²×D₇₉	—	2	6	no	—
658	C₂²×D₇₉	—	2	6	no	—
659	C₂²×D₇₉	—	2	6	no	—
660	C₂²×D₇₉	—	2	12	no	—
661	C₂²×D₇₉	—	4	3	no	—
662	C₂²×D₇₉	—	4	3	no	—
663	C₂²×D₇₉	—	4	3	no	—
664	C₂²×D₇₉	—	4	3	no	—
665	C₂²×D₇₉	—	4	3	no	—
666	C₂²×D₇₉	—	4	3	no	—
667	C₂²×D₇₉	—	4	3	no	—
668	C₂²×D₇₉	—	4	6	no	—
669	C₂²×D₇₉	—	4	6	no	—
670	C₂²×D₇₉	—	4	6	no	—
671	C₂²×D₇₉	—	4	6	no	—
672	C₂²×D₇₉	—	4	48	no	—
673	C₂²×D₇₉	C₂²×D₄	1	12	yes	—
674	C₂²×D₇₉	C₂⁵	1	3	yes	—
675	C₂²×D₇₉	C₂⁵	1	6	yes	—
676	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
677	C₂²×D₇₉	C₂⁵	1	3	yes	—
678	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
679	Q₈×C₇₉	—	2	6	no	—
680	Q₈×C₇₉	—	2	6	no	—
681	Q₈×C₇₉	—	2	12	no	—
682	Q₈×C₇₉	C₂²×D₄	1	4	yes	—
683	D₄×C₇₉	—	2	12	no	—
684	D₄×C₇₉	—	2	12	no	—
685	D₄×C₇₉	—	2	4	no	—
686	D₄×C₇₉	—	2	2	no	—
687	D₄×C₇₉	—	2	6	no	—
688	D₄×C₇₉	—	4	6	no	—
689	D₄×C₇₉	C₂²×D₄	1	12	yes	—
690	C₂×C₄×C₇₉	—	2	6	no	—
691	C₂×C₄×C₇₉	—	2	12	no	—
692	C₂×C₄×C₇₉	—	2	2	no	—
693	C₂×C₄×C₇₉	—	2	6	no	—
694	C₂×C₄×C₇₉	—	2	6	no	—
695	C₂×C₄×C₇₉	—	2	6	no	—
696	C₂×C₄×C₇₉	—	2	12	no	—
697	C₂×C₄×C₇₉	—	4	6	no	—
698	C₂×C₄×C₇₉	C₂²×D₄	1	12	yes	—
699	C₂×C₄×C₇₉	C₂⁵	1	6	yes	—
700	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
701	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
702	C₂×C₄×C₇₉	C₂⁵	1	3	yes	—
703	C₂×C₄×C₇₉	C₂⁵	1	6	yes	—
704	C₂×C₄×C₇₉	C₂⁵	1	3	yes	—
705	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
706	C₂²⋊D₇₉	—	2	12	no	—
707	C₂²⋊D₇₉	—	2	12	no	—
708	C₂²⋊D₇₉	—	2	12	no	—
709	C₂²⋊D₇₉	—	2	4	no	—
710	C₂²⋊D₇₉	—	2	12	no	—
711	C₂²⋊D₇₉	—	2	4	no	—
712	C₂²⋊D₇₉	—	2	12	no	—
713	C₂²⋊D₇₉	—	2	12	no	—
714	C₂²⋊D₇₉	—	4	6	no	—
715	C₂²⋊D₇₉	—	4	6	no	—
716	C₂²⋊D₇₉	—	4	12	no	—
717	C₂²⋊D₇₉	C₂²×D₄	1	24	yes	—
718	C₂×Dic₇₉	—	2	6	no	—
719	C₂×Dic₇₉	—	2	2	no	—
720	C₂×Dic₇₉	—	2	4	no	—
721	C₂×Dic₇₉	—	2	6	no	—
722	C₂×Dic₇₉	—	2	6	no	—
723	C₂×Dic₇₉	—	2	6	no	—
724	C₂×Dic₇₉	—	4	6	no	—
725	C₂×Dic₇₉	C₂²×D₄	1	12	yes	—
726	C₂×Dic₇₉	C₂⁵	1	6	yes	—
727	C₂×Dic₇₉	C₂⁵	1	2	yes	—
728	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
729	C₂×Dic₇₉	C₂⁵	1	3	yes	—
730	C₂×Dic₇₉	C₂⁵	1	2	yes	—
731	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
732	C₂×Dic₇₉	C₂⁵	1	3	yes	—
733	D₃₁₆	—	2	12	no	—
734	D₃₁₆	—	2	24	no	—
735	D₃₁₆	—	2	12	no	—
736	D₃₁₆	—	2	12	no	—
737	D₃₁₆	—	2	6	no	—
738	D₃₁₆	—	2	6	no	—
739	D₃₁₆	—	2	12	no	—
740	D₃₁₆	—	4	6	no	—
741	D₃₁₆	—	4	12	no	—
742	D₃₁₆	C₂²×D₄	1	12	yes	—
743	C₄×D₇₉	—	2	2	no	—
744	C₄×D₇₉	—	2	6	no	—
745	C₄×D₇₉	—	2	6	no	—
746	C₄×D₇₉	—	2	6	no	—
747	C₄×D₇₉	—	2	12	no	—
748	C₄×D₇₉	—	2	2	no	—
749	C₄×D₇₉	—	2	6	no	—
750	C₄×D₇₉	—	2	6	no	—
751	C₄×D₇₉	—	2	6	no	—
752	C₄×D₇₉	—	2	12	no	—
753	C₄×D₇₉	—	2	2	no	—
754	C₄×D₇₉	—	2	6	no	—
755	C₄×D₇₉	—	2	6	no	—
756	C₄×D₇₉	—	2	12	no	—
757	C₄×D₇₉	—	2	6	no	—
758	C₄×D₇₉	—	2	24	no	—
759	C₄×D₇₉	—	4	6	no	—
760	C₄×D₇₉	—	4	6	no	—
761	C₄×D₇₉	C₂²×D₄	1	4	yes	—
762	C₄×D₇₉	C₂²×D₄	1	12	yes	—
763	C₄×D₇₉	C₂²×D₄	1	12	yes	—
764	C₄×D₇₉	C₂²×D₄	1	12	yes	—
765	Dic₁₅₈	—	2	2	no	—
766	Dic₁₅₈	—	2	6	no	—
767	Dic₁₅₈	—	2	12	no	—
768	Dic₁₅₈	—	2	12	no	—
769	Dic₁₅₈	C₂²×D₄	1	12	yes	—
770	C₂²×C₇₉	—	2	1	no	—
771	C₂²×C₇₉	—	2	3	no	—
772	C₂²×C₇₉	—	2	1	no	—
773	C₂²×C₇₉	—	2	3	no	—
774	C₂²×C₇₉	—	2	2	no	—
775	C₂²×C₇₉	—	2	3	no	—
776	C₂²×C₇₉	—	2	2	no	—
777	C₂²×C₇₉	—	2	3	no	—
778	C₂²×C₇₉	—	2	2	no	—
779	C₂²×C₇₉	—	2	3	no	—
780	C₂²×C₇₉	—	4	12	no	—
781	C₂²×C₇₉	C₂³×D₄	1	6	yes	—
782	C₂²×C₇₉	#585	1	2	yes	complemented
783	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
784	C₂×D₇₉	—	2	8	no	—
785	C₂×D₇₉	—	2	1	no	—
786	C₂×D₇₉	—	2	1	no	—
787	C₂×D₇₉	—	2	1	no	—
788	C₂×D₇₉	—	2	1	no	—
789	C₂×D₇₉	—	2	3	no	—
790	C₂×D₇₉	—	2	3	no	—
791	C₂×D₇₉	—	2	3	no	—
792	C₂×D₇₉	—	2	6	no	—
793	C₂×D₇₉	—	2	6	no	—
794	C₂×D₇₉	—	2	3	no	—
795	C₂×D₇₉	—	2	6	no	—
796	C₂×D₇₉	—	2	3	no	—
797	C₂×D₇₉	—	4	12	no	—
798	C₂×D₇₉	—	4	12	no	—
799	C₂×D₇₉	—	4	12	no	—
800	C₂×D₇₉	—	4	12	no	—
801	C₂×D₇₉	—	4	12	no	—
802	C₂×D₇₉	—	8	12	no	—
803	C₂×D₇₉	—	8	12	no	—
804	C₂×D₇₉	C₂³×D₄	1	6	yes	—
805	C₂×D₇₉	C₂³×D₄	1	2	yes	—
806	C₂×D₇₉	#585	1	2	yes	complemented
807	C₄×C₇₉	—	2	1	no	—
808	C₄×C₇₉	—	2	3	no	—
809	C₄×C₇₉	—	2	6	no	—
810	C₄×C₇₉	—	2	6	no	—
811	C₄×C₇₉	—	2	2	no	—
812	C₄×C₇₉	C₂³×D₄	1	2	yes	—
813	C₄×C₇₉	C₂³×D₄	1	6	yes	—
814	Dic₇₉	—	2	2	no	—
815	Dic₇₉	—	2	3	no	—
816	Dic₇₉	—	2	1	no	—
817	Dic₇₉	—	2	2	no	—
818	Dic₇₉	—	2	6	no	—
819	Dic₇₉	C₂³×D₄	1	6	yes	—
820	Dic₇₉	C₂³×D₄	1	2	yes	—
821	#62811	—	79	1	no	maximal, Sylow
822	C₂×C₇₉	—	2	2	no	—
823	C₂×C₇₉	—	2	6	no	—
824	C₂×C₇₉	—	4	3	no	—
825	C₂×C₇₉	—	4	2	no	—
826	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
827	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
828	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
829	D₇₉	—	2	2	no	—
830	D₇₉	—	2	2	no	—
831	D₇₉	—	2	6	no	—
832	D₇₉	—	4	3	no	—
833	D₇₉	—	4	6	no	—
834	C₂×#585	—	79	1	no	—
835	C₂³×#41	—	79	1	no	—
836	#3489	—	79	1	no	—
837	#3489	—	79	3	no	—
838	#3489	—	79	3	no	—
839	#3489	D₇₉	1	1	yes	characteristic, complemented
840	#3488	—	79	1	no	—
841	#3488	—	79	3	no	—
842	#3488	—	79	3	no	—
843	#3488	—	79	1	no	—
844	#3487	—	79	2	no	—
845	#3486	—	79	2	no	—
846	#3485	—	79	6	no	—
847	#3484	—	79	6	no	—
848	D₄×#41	—	79	2	no	—
849	D₄×#41	—	79	2	no	—
850	D₄×#41	—	79	6	no	—
851	D₄×#41	—	79	6	no	—
852	#3449	—	79	3	no	—
853	#3449	—	79	3	no	—
854	C₂×#525	—	79	3	no	—
855	C₂×#525	—	79	3	no	—
856	#3428	—	79	1	no	—
857	C₇₉	#62811	1	1	yes	characteristic, complemented, Sylow
858	#585	—	158	16	no	—
859	C₂×2₋¹⁺⁴	—	79	2	no	—
860	C₂×2₋¹⁺⁴	—	79	3	no	—
861	C₂×2₋¹⁺⁴	C₂×D₇₉	1	1	yes	characteristic, complemented
862	C₂×H(5,𝔽₂)	—	79	1	no	—
863	C₂×H(5,𝔽₂)	—	79	6	no	—
864	C₂×H(5,𝔽₂)	—	79	3	no	—
865	C₂²×#41	—	79	1	no	—
866	C₂²×#41	—	79	3	no	—
867	C₂²×#41	—	79	1	no	—
868	C₂²×#41	—	79	3	no	—
869	C₂²×#41	—	79	3	no	—
870	C₂²×#41	—	79	1	no	—
871	C₂²×#41	—	79	3	no	—
872	C₂²×#41	—	79	1	no	—
873	C₂²×#41	—	79	3	no	—
874	C₂²×#41	—	79	6	no	—
875	C₂²×#41	—	79	1	no	—
876	C₂²×#41	—	79	3	no	—
877	C₂²×#41	—	79	2	no	—
878	C₂²×#41	—	79	3	no	—
879	C₂²×#41	—	79	3	no	—
880	C₂²×#41	—	158	16	no	—
881	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
882	C₂³×Q₈	—	79	1	no	—
883	C₂³×D₄	—	79	3	no	—
884	C₂⁴×C₄	—	79	3	no	—
885	#550	—	79	2	no	—
886	#550	—	79	6	no	—
887	#550	—	79	2	no	—
888	#550	—	79	6	no	—
889	D₄×Q₈	—	79	2	no	—
890	D₄×Q₈	—	79	6	no	—
891	D₄×Q₈	—	79	6	no	—
892	D₄×Q₈	C₂×D₇₉	1	2	yes	complemented
893	#548	—	79	2	no	—
894	#548	—	79	2	no	—
895	#548	—	79	6	no	—
896	#548	—	79	6	no	—
897	#548	—	79	6	no	—
898	#548	—	79	2	no	—
899	#548	—	79	6	no	—
900	#548	C₂×D₇₉	1	2	yes	complemented
901	#547	—	79	6	no	—
902	#547	—	79	6	no	—
903	#547	—	79	12	no	—
904	#547	—	79	6	no	—
905	#547	—	79	12	no	—
906	#547	C₂×D₇₉	1	6	yes	complemented
907	#546	—	79	6	no	—
908	#546	—	79	6	no	—
909	#546	—	79	6	no	—
910	#546	—	79	12	no	—
911	#546	—	79	12	no	—
912	#546	—	79	6	no	—
913	#546	—	79	6	no	—
914	#546	—	79	12	no	—
915	#546	—	79	6	no	—
916	#546	—	79	6	no	—
917	#546	—	79	12	no	—
918	#546	C₂×D₇₉	1	6	yes	complemented
919	D₄²	—	79	6	no	—
920	D₄²	—	79	6	no	—
921	D₄²	—	79	12	no	—
922	D₄²	—	79	12	no	—
923	D₄²	—	79	6	no	—
924	D₄²	—	79	6	no	—
925	#537	—	79	3	no	—
926	#537	—	79	3	no	—
927	#537	—	79	6	no	—
928	#537	—	79	6	no	—
929	#537	—	79	3	no	—
930	#537	C₂×D₇₉	1	3	yes	complemented
931	#536	—	79	3	no	—
932	#536	—	79	6	no	—
933	#536	—	79	6	no	—
934	#536	—	79	6	no	—
935	#536	C₂×D₇₉	1	3	yes	complemented
936	#535	—	79	3	no	—
937	#535	—	79	6	no	—
938	#535	—	79	6	no	—
939	#535	—	79	6	no	—
940	#535	—	79	3	no	—
941	#534	—	79	12	no	—
942	#534	—	79	12	no	—
943	#532	—	79	6	no	—
944	#532	—	79	6	no	—
945	#532	—	79	12	no	—
946	#525	—	79	3	no	—
947	#525	—	79	3	no	—
948	#525	—	79	6	no	—
949	#525	—	79	12	no	—
950	#525	—	79	3	no	—
951	#525	—	79	6	no	—
952	#525	—	79	6	no	—
953	#525	—	79	6	no	—
954	#525	—	79	3	no	—
955	#525	—	79	6	no	—
956	#525	—	79	6	no	—
957	#525	—	79	6	no	—
958	#525	—	79	6	no	—
959	#525	—	79	6	no	—
960	#525	—	79	1	no	—
961	#525	—	79	3	no	—
962	#525	—	79	6	no	—
963	#525	—	79	6	no	—
964	#525	—	79	6	no	—
965	#525	—	79	6	no	—
966	#525	—	79	3	no	—
967	#525	C₂×D₇₉	1	3	yes	complemented
968	C₂×#123	—	79	6	no	—
969	C₂×#123	—	79	6	no	—
970	C₂×C₂²⋊Q₈	—	79	3	no	—
971	C₂×C₂²⋊Q₈	—	79	3	no	—
972	C₂×C₂²⋊Q₈	—	79	3	no	—
973	C₂×C₂²⋊Q₈	C₂×D₇₉	1	3	yes	complemented
974	C₂×#121	—	79	3	no	—
975	C₂×#121	—	79	3	no	—
976	C₂×#121	—	79	3	no	—
977	C₂×#121	—	79	3	no	—
978	C₂×#120	—	79	6	no	—
979	C₂×#120	—	79	6	no	—
980	#520	—	79	1	no	—
981	#520	—	79	3	no	—
982	#520	—	79	3	no	—
983	#520	C₂×D₇₉	1	1	yes	characteristic, complemented
984	#519	—	79	2	no	—
985	#518	—	79	6	no	—
986	C₄×#41	—	79	2	no	—
987	C₄×#41	—	79	6	no	—
988	C₂×C₄×D₄	—	79	6	no	—
989	C₂×C₄×D₄	—	79	6	no	—
990	C₂×C₄×D₄	—	79	6	no	—
991	C₂×C₄×D₄	—	79	6	no	—
992	C₂×#117	—	79	3	no	—
993	C₂×#117	—	79	3	no	—
994	C₂⁵	—	79	3	no	—
995	2₋¹⁺⁴	—	2	8	no	—
996	2₋¹⁺⁴	—	158	16	no	—
997	2₋¹⁺⁴	—	158	24	no	—
998	H(5,𝔽₂)	—	158	48	no	—
999	H(5,𝔽₂)	—	158	24	no	—
1000	H(5,𝔽₂)	—	158	8	no	—
1001	C₂×#41	—	2	8	no	—
1002	C₂×#41	—	79	16	no	—
1003	C₂×#41	—	79	1	no	—
1004	C₂×#41	—	79	3	no	—
1005	C₂×#41	—	79	3	no	—
1006	C₂×#41	—	79	6	no	—
1007	C₂×#41	—	79	3	no	—
1008	C₂×#41	—	79	1	no	—
1009	C₂×#41	—	79	6	no	—
1010	C₂×#41	—	79	6	no	—
1011	C₂×#41	—	79	6	no	—
1012	C₂×#41	—	79	2	no	—
1013	C₂×#41	—	79	3	no	—
1014	C₂×#41	—	79	1	no	—
1015	C₂×#41	—	79	6	no	—
1016	C₂×#41	—	79	3	no	—
1017	C₂×#41	—	79	3	no	—
1018	C₂×#41	—	79	6	no	—
1019	C₂×#41	—	79	3	no	—
1020	C₂×#41	—	79	6	no	—
1021	C₂×#41	—	79	3	no	—
1022	C₂×#41	—	79	6	no	—
1023	C₂×#41	—	79	6	no	—
1024	C₂×#41	—	79	3	no	—
1025	C₂×#41	—	79	3	no	—
1026	C₂×#41	—	79	6	no	—
1027	C₂×#41	—	79	3	no	—
1028	C₂×#41	—	79	3	no	—
1029	C₂×#41	—	79	12	no	—
1030	C₂×#41	—	79	6	no	—
1031	C₂×#41	—	158	24	no	—
1032	C₂×#41	—	158	24	no	—
1033	C₂×#41	—	158	24	no	—
1034	C₂×#41	—	158	24	no	—
1035	C₂×#41	—	158	24	no	—
1036	C₂×#41	—	158	24	no	—
1037	C₂×#41	—	158	8	no	—
1038	C₂×#41	—	158	16	no	—
1039	C₂×#41	—	158	8	no	—
1040	C₂×#41	—	158	8	no	—
1041	C₂×#41	—	158	24	no	—
1042	C₂×#41	—	158	24	no	—
1043	C₂×#41	—	158	48	no	—
1044	C₂×#41	—	158	8	no	—
1045	C₂×#41	C₂²×D₇₉	1	3	yes	—
1046	C₂×#41	C₂²×D₇₉	1	3	yes	—
1047	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1048	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1049	C₂×#41	C₂²×D₇₉	1	3	yes	complemented
1050	C₂×#41	C₂²×D₇₉	1	6	yes	complemented
1051	C₂²×Q₈	—	79	1	no	—
1052	C₂²×Q₈	—	79	3	no	—
1053	C₂²×Q₈	—	79	3	no	—
1054	C₂²×Q₈	—	79	1	no	—
1055	C₂²×Q₈	—	79	3	no	—
1056	C₂²×Q₈	—	79	6	no	—
1057	C₂²×Q₈	—	79	3	no	—
1058	C₂²×Q₈	—	158	8	no	—
1059	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1060	C₂²×Q₈	C₂²×D₇₉	1	3	yes	complemented
1061	C₂²×Q₈	C₂²×D₇₉	1	2	yes	complemented
1062	C₂²×D₄	—	79	6	no	—
1063	C₂²×D₄	—	79	6	no	—
1064	C₂²×D₄	—	79	6	no	—
1065	C₂²×D₄	—	79	3	no	—
1066	C₂²×D₄	—	79	6	no	—
1067	C₂²×D₄	—	79	6	no	—
1068	C₂²×D₄	—	79	3	no	—
1069	C₂²×D₄	—	79	6	no	—
1070	C₂²×D₄	—	79	3	no	—
1071	C₂²×D₄	—	79	6	no	—
1072	C₂²×D₄	—	79	3	no	—
1073	C₂²×D₄	—	79	3	no	—
1074	C₂²×D₄	—	79	12	no	—
1075	C₂²×D₄	—	79	6	no	—
1076	C₂²×D₄	—	79	6	no	—
1077	C₂²×D₄	—	79	6	no	—
1078	C₂²×D₄	—	79	3	no	—
1079	C₂²×D₄	—	79	3	no	—
1080	C₂²×D₄	—	79	6	no	—
1081	C₂²×D₄	—	158	24	no	—
1082	C₂²×D₄	C₂²×D₇₉	1	3	yes	—
1083	C₂³×C₄	—	79	3	no	—
1084	C₂³×C₄	—	79	3	no	—
1085	C₂³×C₄	—	79	3	no	—
1086	C₂³×C₄	—	79	3	no	—
1087	C₂³×C₄	—	79	3	no	—
1088	C₂³×C₄	—	79	6	no	—
1089	C₂³×C₄	—	79	6	no	—
1090	C₂³×C₄	—	79	3	no	—
1091	C₂³×C₄	—	79	3	no	—
1092	C₂³×C₄	—	79	3	no	—
1093	C₂³×C₄	—	79	3	no	—
1094	C₂³×C₄	—	79	1	no	—
1095	C₂³×C₄	—	79	3	no	—
1096	C₂³×C₄	—	79	3	no	—
1097	C₂³×C₄	—	79	3	no	—
1098	C₂³×C₄	—	158	24	no	—
1099	C₂³×C₄	C₂²×D₇₉	1	3	yes	—
1100	C₄⋊Q₈	—	79	6	no	—
1101	C₄⋊Q₈	—	79	12	no	—
1102	C₄⋊Q₈	C₂²×D₇₉	1	6	yes	complemented
1103	#127	—	79	6	no	—
1104	#127	—	79	12	no	—
1105	#127	—	79	6	no	—
1106	#124	—	79	6	no	—
1107	#124	—	79	6	no	—
1108	#124	—	79	12	no	—
1109	#124	—	79	12	no	—
1110	#124	—	79	6	no	—
1111	#124	C₂²×D₇₉	1	6	yes	complemented
1112	#123	—	79	6	no	—
1113	#123	—	79	6	no	—
1114	#123	—	79	12	no	—
1115	#123	—	79	6	no	—
1116	#123	—	79	6	no	—
1117	#123	—	79	12	no	—
1118	#123	—	79	12	no	—
1119	#123	—	79	12	no	—
1120	#123	—	79	12	no	—
1121	#123	—	79	2	no	—
1122	#123	—	79	6	no	—
1123	#123	—	79	6	no	—
1124	#123	—	79	12	no	—
1125	#123	C₂²×D₇₉	1	6	yes	complemented
1126	#123	C₂²×D₇₉	1	12	yes	complemented
1127	C₂²⋊Q₈	—	79	3	no	—
1128	C₂²⋊Q₈	—	79	6	no	—
1129	C₂²⋊Q₈	—	79	3	no	—
1130	C₂²⋊Q₈	—	79	6	no	—
1131	C₂²⋊Q₈	—	79	6	no	—
1132	C₂²⋊Q₈	—	79	6	no	—
1133	C₂²⋊Q₈	—	79	1	no	—
1134	C₂²⋊Q₈	—	79	3	no	—
1135	C₂²⋊Q₈	—	79	6	no	—
1136	C₂²⋊Q₈	—	79	1	no	—
1137	C₂²⋊Q₈	—	79	3	no	—
1138	C₂²⋊Q₈	—	79	6	no	—
1139	C₂²⋊Q₈	—	79	6	no	—
1140	C₂²⋊Q₈	—	79	12	no	—
1141	C₂²⋊Q₈	—	79	12	no	—
1142	C₂²⋊Q₈	—	79	6	no	—
1143	C₂²⋊Q₈	—	79	6	no	—
1144	C₂²⋊Q₈	—	79	6	no	—
1145	C₂²⋊Q₈	C₂²×D₇₉	1	3	yes	—
1146	C₂²⋊Q₈	C₂²×D₇₉	1	6	yes	—
1147	C₂²⋊Q₈	C₂²×D₇₉	1	3	yes	complemented
1148	C₂²⋊Q₈	C₂²×D₇₉	1	6	yes	complemented
1149	C₂²⋊Q₈	C₂²×D₇₉	1	6	yes	complemented
1150	C₂²⋊Q₈	C₂²×D₇₉	1	6	yes	complemented
1151	#121	—	79	1	no	—
1152	#121	—	79	3	no	—
1153	#121	—	79	6	no	—
1154	#121	—	79	6	no	—
1155	#121	—	79	6	no	—
1156	#121	—	79	12	no	—
1157	#121	—	79	12	no	—
1158	#121	—	79	3	no	—
1159	#121	—	79	6	no	—
1160	#121	—	79	3	no	—
1161	#121	—	79	6	no	—
1162	#121	—	79	6	no	—
1163	#121	—	79	6	no	—
1164	#121	—	79	12	no	—
1165	#121	—	79	3	no	—
1166	#121	—	79	3	no	—
1167	#121	—	79	6	no	—
1168	#121	—	79	6	no	—
1169	#121	—	79	6	no	—
1170	#121	—	79	6	no	—
1171	#121	—	79	12	no	—
1172	#121	—	79	12	no	—
1173	#121	—	79	6	no	—
1174	#121	—	79	6	no	—
1175	#121	—	79	12	no	—
1176	#121	—	79	12	no	—
1177	#121	—	79	12	no	—
1178	#121	—	79	12	no	—
1179	#121	C₂²×D₇₉	1	1	yes	characteristic
1180	#121	C₂²×D₇₉	1	3	yes	complemented
1181	#121	C₂²×D₇₉	1	6	yes	complemented
1182	#121	C₂²×D₇₉	1	12	yes	complemented
1183	#120	—	79	6	no	—
1184	#120	—	79	2	no	—
1185	#120	—	79	6	no	—
1186	#120	—	79	6	no	—
1187	#120	—	79	12	no	—
1188	#120	—	79	12	no	—
1189	#120	—	79	6	no	—
1190	#120	—	79	6	no	—
1191	#120	—	79	12	no	—
1192	#120	—	79	12	no	—
1193	#120	—	79	6	no	—
1194	#120	—	79	12	no	—
1195	#120	—	79	12	no	—
1196	#120	—	79	12	no	—
1197	#120	C₂²×D₇₉	1	6	yes	—
1198	C₄×Q₈	—	79	2	no	—
1199	C₄×Q₈	—	79	6	no	—
1200	C₄×Q₈	—	79	6	no	—
1201	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1202	C₄×D₄	—	79	2	no	—
1203	C₄×D₄	—	79	6	no	—
1204	C₄×D₄	—	79	6	no	—
1205	C₄×D₄	—	79	6	no	—
1206	C₄×D₄	—	79	6	no	—
1207	C₄×D₄	—	79	6	no	—
1208	C₄×D₄	—	79	6	no	—
1209	C₄×D₄	—	79	12	no	—
1210	C₄×D₄	—	79	6	no	—
1211	C₄×D₄	—	79	6	no	—
1212	C₄×D₄	—	79	12	no	—
1213	C₄×D₄	—	79	12	no	—
1214	C₄×D₄	—	79	12	no	—
1215	C₄×D₄	—	79	6	no	—
1216	C₄×D₄	—	79	2	no	—
1217	C₄×D₄	—	79	6	no	—
1218	C₄×D₄	—	79	6	no	—
1219	C₄×D₄	—	79	6	no	—
1220	C₄×D₄	—	79	12	no	—
1221	C₄×D₄	—	79	12	no	—
1222	C₄×D₄	—	79	12	no	—
1223	C₄×D₄	—	79	12	no	—
1224	C₄×D₄	—	79	6	no	—
1225	C₄×D₄	—	79	6	no	—
1226	C₄×D₄	—	79	6	no	—
1227	C₄×D₄	C₂²×D₇₉	1	6	yes	—
1228	C₄×D₄	C₂²×D₇₉	1	6	yes	complemented
1229	C₄×D₄	C₂²×D₇₉	1	6	yes	complemented
1230	#117	—	79	3	no	—
1231	#117	—	79	1	no	—
1232	#117	—	79	3	no	—
1233	#117	—	79	6	no	—
1234	#117	—	79	6	no	—
1235	#117	—	79	6	no	—
1236	#117	—	79	6	no	—
1237	#117	—	79	6	no	—
1238	#117	C₂²×D₇₉	1	3	yes	complemented
1239	C₂×C₄⋊C₄	—	79	3	no	—
1240	C₂×C₄⋊C₄	—	79	6	no	—
1241	C₂×C₄⋊C₄	—	79	3	no	—
1242	C₂×C₄⋊C₄	—	79	3	no	—
1243	C₂×C₄⋊C₄	—	79	6	no	—
1244	C₂×C₄⋊C₄	—	79	6	no	—
1245	C₂×C₄⋊C₄	C₂²×D₇₉	1	3	yes	complemented
1246	C₂×C₄⋊C₄	C₂²×D₇₉	1	6	yes	complemented
1247	C₂×C₂²⋊C₄	—	79	6	no	—
1248	C₂×C₂²⋊C₄	—	79	6	no	—
1249	C₂×C₂²⋊C₄	—	79	6	no	—
1250	C₂×C₂²⋊C₄	—	79	6	no	—
1251	C₂×C₂²⋊C₄	—	79	6	no	—
1252	C₂×C₂²⋊C₄	—	79	6	no	—
1253	C₂×C₂²⋊C₄	—	79	6	no	—
1254	C₂×C₂²⋊C₄	—	79	6	no	—
1255	C₂×C₂²⋊C₄	—	79	6	no	—
1256	C₂×C₂²⋊C₄	C₂²×D₇₉	1	6	yes	—
1257	C₂×C₄²	—	79	6	no	—
1258	C₂×C₄²	—	79	6	no	—
1259	C₂⁴	—	316	6	no	—
1260	C₂⁴	—	316	6	no	—
1261	C₂⁴	—	79	3	no	—
1262	C₂⁴	—	79	6	no	—
1263	C₂⁴	—	79	6	no	—
1264	C₂⁴	—	79	3	no	—
1265	C₂⁴	—	79	3	no	—
1266	C₂⁴	—	79	3	no	—
1267	C₂⁴	—	79	3	no	—
1268	C₂⁴	—	79	1	no	—
1269	C₂⁴	—	158	12	no	—
1270	C₂⁴	C₂³×D₇₉	1	3	yes	—
1271	#41	—	2	4	no	—
1272	#41	—	2	12	no	—
1273	#41	—	2	24	no	—
1274	#41	—	2	12	no	—
1275	#41	—	2	12	no	—
1276	#41	—	79	8	no	—
1277	#41	—	79	24	no	—
1278	#41	—	79	24	no	—
1279	#41	—	158	24	no	—
1280	#41	—	158	24	no	—
1281	#41	—	158	24	no	—
1282	#41	—	158	12	no	—
1283	#41	—	158	48	no	—
1284	#41	—	158	12	no	—
1285	#41	—	158	24	no	—
1286	#41	—	158	24	no	—
1287	#41	—	158	24	no	—
1288	#41	—	158	4	no	—
1289	#41	—	158	12	no	—
1290	#41	—	158	12	no	—
1291	#41	—	158	24	no	—
1292	#41	—	158	12	no	—
1293	#41	—	158	24	no	—
1294	#41	—	158	24	no	—
1295	#41	—	158	24	no	—
1296	#41	—	158	12	no	—
1297	#41	—	158	12	no	—
1298	#41	—	158	24	no	—
1299	#41	—	158	4	no	—
1300	#41	—	158	8	no	—
1301	#41	—	158	12	no	—
1302	#41	—	158	12	no	—
1303	#41	—	158	12	no	—
1304	#41	D₄×D₇₉	1	8	yes	complemented
1305	C₂×Q₈	—	2	4	no	—
1306	C₂×Q₈	—	2	8	no	—
1307	C₂×Q₈	—	2	12	no	—
1308	C₂×Q₈	—	79	8	no	—
1309	C₂×Q₈	—	79	3	no	—
1310	C₂×Q₈	—	79	1	no	—
1311	C₂×Q₈	—	79	6	no	—
1312	C₂×Q₈	—	79	6	no	—
1313	C₂×Q₈	—	79	3	no	—
1314	C₂×Q₈	—	158	12	no	—
1315	C₂×Q₈	—	158	12	no	—
1316	C₂×Q₈	—	158	12	no	—
1317	C₂×Q₈	—	158	12	no	—
1318	C₂×Q₈	—	158	24	no	—
1319	C₂×Q₈	—	158	4	no	—
1320	C₂×Q₈	C₂³×D₇₉	1	3	yes	—
1321	C₂×Q₈	C₂³×D₇₉	1	6	yes	—
1322	C₂×Q₈	C₂³×D₇₉	1	3	yes	—
1323	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1324	C₂×D₄	—	2	12	no	—
1325	C₂×D₄	—	316	12	no	—
1326	C₂×D₄	—	316	12	no	—
1327	C₂×D₄	—	316	12	no	—
1328	C₂×D₄	—	316	12	no	—
1329	C₂×D₄	—	79	6	no	—
1330	C₂×D₄	—	79	12	no	—
1331	C₂×D₄	—	79	6	no	—
1332	C₂×D₄	—	79	6	no	—
1333	C₂×D₄	—	79	24	no	—
1334	C₂×D₄	—	79	2	no	—
1335	C₂×D₄	—	79	6	no	—
1336	C₂×D₄	—	79	2	no	—
1337	C₂×D₄	—	79	6	no	—
1338	C₂×D₄	—	79	6	no	—
1339	C₂×D₄	—	79	6	no	—
1340	C₂×D₄	—	79	6	no	—
1341	C₂×D₄	—	79	6	no	—
1342	C₂×D₄	—	79	12	no	—
1343	C₂×D₄	—	79	6	no	—
1344	C₂×D₄	—	79	3	no	—
1345	C₂×D₄	—	79	6	no	—
1346	C₂×D₄	—	79	6	no	—
1347	C₂×D₄	—	79	6	no	—
1348	C₂×D₄	—	79	12	no	—
1349	C₂×D₄	—	79	3	no	—
1350	C₂×D₄	—	79	3	no	—
1351	C₂×D₄	—	79	6	no	—
1352	C₂×D₄	—	158	12	no	—
1353	C₂×D₄	—	158	24	no	—
1354	C₂×D₄	—	158	24	no	—
1355	C₂×D₄	—	158	12	no	—
1356	C₂×D₄	—	158	12	no	—
1357	C₂×D₄	—	158	24	no	—
1358	C₂×D₄	—	158	12	no	—
1359	C₂×D₄	—	158	48	no	—
1360	C₂×D₄	—	158	24	no	—
1361	C₂×D₄	—	158	24	no	—
1362	C₂×D₄	—	158	24	no	—
1363	C₂×D₄	—	158	12	no	—
1364	C₂×D₄	—	158	24	no	—
1365	C₂×D₄	—	158	12	no	—
1366	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1367	C₂×D₄	C₂³×D₇₉	1	6	yes	—
1368	C₂×D₄	C₂³×D₇₉	1	6	yes	—
1369	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1370	C₂×D₄	C₂³×D₇₉	1	3	yes	—
1371	C₂×D₄	C₂³×D₇₉	1	6	yes	—
1372	C₂×D₄	C₂³×D₇₉	1	3	yes	—
1373	C₂²×C₄	—	2	12	no	—
1374	C₂²×C₄	—	79	6	no	—
1375	C₂²×C₄	—	79	6	no	—
1376	C₂²×C₄	—	79	6	no	—
1377	C₂²×C₄	—	79	3	no	—
1378	C₂²×C₄	—	79	3	no	—
1379	C₂²×C₄	—	79	3	no	—
1380	C₂²×C₄	—	79	1	no	—
1381	C₂²×C₄	—	79	3	no	—
1382	C₂²×C₄	—	79	24	no	—
1383	C₂²×C₄	—	79	3	no	—
1384	C₂²×C₄	—	79	1	no	—
1385	C₂²×C₄	—	79	2	no	—
1386	C₂²×C₄	—	79	3	no	—
1387	C₂²×C₄	—	79	3	no	—
1388	C₂²×C₄	—	79	3	no	—
1389	C₂²×C₄	—	79	3	no	—
1390	C₂²×C₄	—	79	3	no	—
1391	C₂²×C₄	—	79	6	no	—
1392	C₂²×C₄	—	79	1	no	—
1393	C₂²×C₄	—	79	3	no	—
1394	C₂²×C₄	—	79	6	no	—
1395	C₂²×C₄	—	79	3	no	—
1396	C₂²×C₄	—	79	3	no	—
1397	C₂²×C₄	—	79	3	no	—
1398	C₂²×C₄	—	79	3	no	—
1399	C₂²×C₄	—	79	12	no	—
1400	C₂²×C₄	—	79	6	no	—
1401	C₂²×C₄	—	79	1	no	—
1402	C₂²×C₄	—	79	3	no	—
1403	C₂²×C₄	—	79	1	no	—
1404	C₂²×C₄	—	79	3	no	—
1405	C₂²×C₄	—	158	4	no	—
1406	C₂²×C₄	—	158	12	no	—
1407	C₂²×C₄	—	158	12	no	—
1408	C₂²×C₄	—	158	12	no	—
1409	C₂²×C₄	—	158	12	no	—
1410	C₂²×C₄	—	158	12	no	—
1411	C₂²×C₄	—	158	12	no	—
1412	C₂²×C₄	—	158	12	no	—
1413	C₂²×C₄	—	158	12	no	—
1414	C₂²×C₄	—	158	24	no	—
1415	C₂²×C₄	—	158	24	no	—
1416	C₂²×C₄	—	158	12	no	—
1417	C₂²×C₄	—	158	12	no	—
1418	C₂²×C₄	—	158	12	no	—
1419	C₂²×C₄	C₂³×D₇₉	1	3	yes	—
1420	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
1421	C₂²×C₄	C₂³×D₇₉	1	3	yes	—
1422	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
1423	C₂²×C₄	C₂³×D₇₉	1	3	yes	—
1424	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₇₉	1	3	yes	—
1426	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
1427	C₂²×C₄	C₂³×D₇₉	1	3	yes	—
1428	C₄⋊C₄	—	79	6	no	—
1429	C₄⋊C₄	—	79	2	no	—
1430	C₄⋊C₄	—	79	6	no	—
1431	C₄⋊C₄	—	79	6	no	—
1432	C₄⋊C₄	—	79	6	no	—
1433	C₄⋊C₄	—	79	6	no	—
1434	C₄⋊C₄	—	79	12	no	—
1435	C₄⋊C₄	—	79	1	no	—
1436	C₄⋊C₄	—	79	3	no	—
1437	C₄⋊C₄	—	79	2	no	—
1438	C₄⋊C₄	—	79	6	no	—
1439	C₄⋊C₄	—	79	6	no	—
1440	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₇₉	1	3	yes	—
1442	C₄⋊C₄	C₂³×D₇₉	1	6	yes	—
1443	C₄⋊C₄	C₂³×D₇₉	1	6	yes	—
1444	C₄⋊C₄	C₂³×D₇₉	1	6	yes	—
1445	C₄⋊C₄	C₂³×D₇₉	1	12	yes	—
1446	C₂²⋊C₄	—	79	2	no	—
1447	C₂²⋊C₄	—	79	2	no	—
1448	C₂²⋊C₄	—	79	6	no	—
1449	C₂²⋊C₄	—	79	6	no	—
1450	C₂²⋊C₄	—	79	6	no	—
1451	C₂²⋊C₄	—	79	6	no	—
1452	C₂²⋊C₄	—	79	2	no	—
1453	C₂²⋊C₄	—	79	6	no	—
1454	C₂²⋊C₄	—	79	2	no	—
1455	C₂²⋊C₄	—	79	6	no	—
1456	C₂²⋊C₄	—	79	6	no	—
1457	C₂²⋊C₄	—	79	12	no	—
1458	C₂²⋊C₄	—	79	6	no	—
1459	C₂²⋊C₄	—	79	12	no	—
1460	C₂²⋊C₄	—	79	6	no	—
1461	C₂²⋊C₄	—	79	12	no	—
1462	C₂²⋊C₄	—	79	6	no	—
1463	C₂²⋊C₄	—	79	12	no	—
1464	C₂²⋊C₄	—	79	6	no	—
1465	C₂²⋊C₄	C₂³×D₇₉	1	2	yes	—
1466	C₂²⋊C₄	C₂³×D₇₉	1	6	yes	—
1467	C₂²⋊C₄	C₂³×D₇₉	1	6	yes	—
1468	C₂²⋊C₄	C₂³×D₇₉	1	6	yes	—
1469	C₂²⋊C₄	C₂³×D₇₉	1	6	yes	—
1470	C₂²⋊C₄	C₂³×D₇₉	1	12	yes	—
1471	C₄²	—	79	6	no	—
1472	C₄²	—	79	2	no	—
1473	C₄²	—	79	12	no	—
1474	C₄²	—	79	6	no	—
1475	C₄²	C₂³×D₇₉	1	6	yes	—
1476	C₂³	—	2	6	no	—
1477	C₂³	—	2	6	no	—
1478	C₂³	—	4	3	no	—
1479	C₂³	—	316	3	no	—
1480	C₂³	—	316	3	no	—
1481	C₂³	—	316	3	no	—
1482	C₂³	—	316	3	no	—
1483	C₂³	—	316	3	no	—
1484	C₂³	—	316	3	no	—
1485	C₂³	—	316	3	no	—
1486	C₂³	—	316	6	no	—
1487	C₂³	—	316	6	no	—
1488	C₂³	—	316	6	no	—
1489	C₂³	—	316	6	no	—
1490	C₂³	—	316	48	no	—
1491	C₂³	—	79	12	no	—
1492	C₂³	—	79	1	no	—
1493	C₂³	—	79	1	no	—
1494	C₂³	—	79	3	no	—
1495	C₂³	—	79	3	no	—
1496	C₂³	—	79	6	no	—
1497	C₂³	—	158	6	no	—
1498	C₂³	—	158	6	no	—
1499	C₂³	—	158	6	no	—
1500	C₂³	—	158	6	no	—
1501	C₂³	—	158	6	no	—
1502	C₂³	—	158	12	no	—
1503	C₂³	—	158	2	no	—
1504	C₂³	—	158	2	no	—
1505	C₂³	—	158	6	no	—
1506	C₂³	—	158	6	no	—
1507	C₂³	—	158	12	no	—
1508	C₂³	—	158	2	no	—
1509	C₂³	C₂⁴×D₇₉	1	2	yes	—
1510	C₂³	C₂⁴×D₇₉	1	3	yes	—
1511	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1512	C₂³	C₂⁴×D₇₉	1	3	yes	—
1513	Q₈	—	2	6	no	—
1514	Q₈	—	2	12	no	—
1515	Q₈	—	2	6	no	—
1516	Q₈	—	79	12	no	—
1517	Q₈	—	158	12	no	—
1518	Q₈	—	158	12	no	—
1519	Q₈	—	158	2	no	—
1520	Q₈	—	158	6	no	—
1521	Q₈	C₂×D₄×D₇₉	1	4	yes	—
1522	D₄	—	2	4	no	—
1523	D₄	—	2	12	no	—
1524	D₄	—	2	12	no	—
1525	D₄	—	2	6	no	—
1526	D₄	—	2	2	no	—
1527	D₄	—	4	6	no	—
1528	D₄	—	316	12	no	—
1529	D₄	—	316	6	no	—
1530	D₄	—	316	6	no	—
1531	D₄	—	316	6	no	—
1532	D₄	—	316	12	no	—
1533	D₄	—	79	24	no	—
1534	D₄	—	79	12	no	—
1535	D₄	—	158	12	no	—
1536	D₄	—	158	12	no	—
1537	D₄	—	158	12	no	—
1538	D₄	—	158	24	no	—
1539	D₄	—	158	12	no	—
1540	D₄	—	158	12	no	—
1541	D₄	—	158	4	no	—
1542	D₄	—	158	4	no	—
1543	D₄	—	158	12	no	—
1544	D₄	—	158	12	no	—
1545	D₄	—	158	12	no	—
1546	D₄	—	158	12	no	—
1547	D₄	—	158	6	no	—
1548	D₄	—	158	6	no	—
1549	D₄	—	158	12	no	—
1550	D₄	C₂×D₄×D₇₉	1	12	yes	—
1551	C₂×C₄	—	2	6	no	—
1552	C₂×C₄	—	2	12	no	—
1553	C₂×C₄	—	2	2	no	—
1554	C₂×C₄	—	2	6	no	—
1555	C₂×C₄	—	2	6	no	—
1556	C₂×C₄	—	2	6	no	—
1557	C₂×C₄	—	2	12	no	—
1558	C₂×C₄	—	4	6	no	—
1559	C₂×C₄	—	316	6	no	—
1560	C₂×C₄	—	316	6	no	—
1561	C₂×C₄	—	316	6	no	—
1562	C₂×C₄	—	79	1	no	—
1563	C₂×C₄	—	79	3	no	—
1564	C₂×C₄	—	79	12	no	—
1565	C₂×C₄	—	79	4	no	—
1566	C₂×C₄	—	79	12	no	—
1567	C₂×C₄	—	79	12	no	—
1568	C₂×C₄	—	79	12	no	—
1569	C₂×C₄	—	79	2	no	—
1570	C₂×C₄	—	79	6	no	—
1571	C₂×C₄	—	79	1	no	—
1572	C₂×C₄	—	79	2	no	—
1573	C₂×C₄	—	79	3	no	—
1574	C₂×C₄	—	158	2	no	—
1575	C₂×C₄	—	158	6	no	—
1576	C₂×C₄	—	158	6	no	—
1577	C₂×C₄	—	158	6	no	—
1578	C₂×C₄	—	158	12	no	—
1579	C₂×C₄	—	158	24	no	—
1580	C₂×C₄	—	158	2	no	—
1581	C₂×C₄	—	158	6	no	—
1582	C₂×C₄	—	158	6	no	—
1583	C₂×C₄	—	158	6	no	—
1584	C₂×C₄	—	158	12	no	—
1585	C₂×C₄	—	158	2	no	—
1586	C₂×C₄	—	158	6	no	—
1587	C₂×C₄	—	158	4	no	—
1588	C₂×C₄	—	158	6	no	—
1589	C₂×C₄	—	158	6	no	—
1590	C₂×C₄	—	158	6	no	—
1591	C₂×C₄	—	158	2	no	—
1592	C₂×C₄	—	158	6	no	—
1593	C₂×C₄	—	158	6	no	—
1594	C₂×C₄	—	158	6	no	—
1595	C₂×C₄	—	158	12	no	—
1596	C₂×C₄	C₂×D₄×D₇₉	1	12	yes	—
1597	C₂×C₄	C₂⁴×D₇₉	1	6	yes	—
1598	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1599	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1600	C₂×C₄	C₂⁴×D₇₉	1	3	yes	—
1601	C₂×C₄	C₂⁴×D₇₉	1	6	yes	—
1602	C₂×C₄	C₂⁴×D₇₉	1	3	yes	—
1603	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1604	C₂²	—	2	1	no	—
1605	C₂²	—	2	3	no	—
1606	C₂²	—	2	1	no	—
1607	C₂²	—	2	3	no	—
1608	C₂²	—	2	2	no	—
1609	C₂²	—	2	3	no	—
1610	C₂²	—	2	2	no	—
1611	C₂²	—	2	3	no	—
1612	C₂²	—	2	2	no	—
1613	C₂²	—	2	3	no	—
1614	C₂²	—	4	12	no	—
1615	C₂²	—	316	12	no	—
1616	C₂²	—	316	12	no	—
1617	C₂²	—	316	12	no	—
1618	C₂²	—	316	12	no	—
1619	C₂²	—	316	12	no	—
1620	C₂²	—	79	2	no	—
1621	C₂²	—	79	6	no	—
1622	C₂²	—	79	2	no	—
1623	C₂²	—	632	12	no	—
1624	C₂²	—	632	12	no	—
1625	C₂²	—	158	8	no	—
1626	C₂²	—	158	3	no	—
1627	C₂²	—	158	6	no	—
1628	C₂²	—	158	3	no	—
1629	C₂²	—	158	6	no	—
1630	C₂²	—	158	3	no	—
1631	C₂²	—	158	6	no	—
1632	C₂²	—	158	1	no	—
1633	C₂²	—	158	3	no	—
1634	C₂²	—	158	1	no	—
1635	C₂²	—	158	3	no	—
1636	C₂²	—	158	1	no	—
1637	C₂²	—	158	1	no	—
1638	C₂²	C₂²×D₄×D₇₉	1	6	yes	—
1639	C₂²	#19099400	1	2	yes	complemented
1640	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1641	C₄	—	2	1	no	—
1642	C₄	—	2	3	no	—
1643	C₄	—	2	6	no	—
1644	C₄	—	2	6	no	—
1645	C₄	—	2	2	no	—
1646	C₄	—	79	2	no	—
1647	C₄	—	79	6	no	—
1648	C₄	—	158	1	no	—
1649	C₄	—	158	3	no	—
1650	C₄	—	158	2	no	—
1651	C₄	—	158	2	no	—
1652	C₄	—	158	6	no	—
1653	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1654	C₄	C₂²×D₄×D₇₉	1	6	yes	—
1655	C₂	—	2	2	no	—
1656	C₂	—	2	6	no	—
1657	C₂	—	4	3	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	316	3	no	—
1660	C₂	—	316	6	no	—
1661	C₂	—	158	2	no	—
1662	C₂	—	158	2	no	—
1663	C₂	—	158	6	no	—
1664	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1665	C₂	#585×D₇₉	1	1	yes	characteristic
1666	C₂	C₂×#19099400	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3489	C₂
hypercenter	#3489	D₇₉
hypocenter	C₇₉	#62811
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3489

Complements

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

N	H ≅ G/N	type
1. C₂×#19099400	C₂	semidirect
2. C₂²×#41×D₇₉	C₂	semidirect
3. #23777078	C₂	semidirect
4. #23777076	C₂	semidirect
5. #23777073	C₂	semidirect
6. #23777070	C₂	semidirect
7. #23777069	C₂	semidirect
8. #23777064	C₂	semidirect
9. #23777061	C₂	semidirect
10. #23777057	C₂	semidirect
11. #23777050	C₂	semidirect
12. #23777039	C₂	semidirect
13. #23777030	C₂	semidirect
14. D₄×#11929625	C₂	semidirect
15. #23776889	C₂	semidirect
16. #23776887	C₂	semidirect
17. #23776884	C₂	semidirect
18. #23776732	C₂	semidirect
19. #23776728	C₂	semidirect
20. C₂×#19099076	C₂	semidirect
21. #525×D₇₉	C₂	semidirect
22. #23776600	C₂	semidirect
23. C₇₉×#3489	C₂	semidirect
25. C₂×#14579209	C₂²	semidirect
26. C₂×#14579209	C₂²	semidirect
27. C₂×#14579207	C₂²	semidirect
28. C₂×#14579207	C₂²	semidirect
29. C₂×#14579207	C₂²	semidirect
30. C₂²×#11929625	C₂²	semidirect
31. C₂²×#11929625	C₂²	semidirect
32. C₂²×#11929625	C₂²	semidirect
33. C₂²×#11929624	C₂²	semidirect
34. C₂²×#11929623	C₂²	semidirect
37. C₂×#41×D₇₉	C₂²	semidirect
38. C₂×#41×D₇₉	C₂²	semidirect
39. C₂×#41×D₇₉	C₂²	semidirect
40. C₂×#41×D₇₉	C₂²	semidirect
41. C₂×#41×D₇₉	C₂²	semidirect
42. C₂×#41×D₇₉	C₂²	semidirect
43. C₂×#41×D₇₉	C₂²	semidirect
44. C₂×#41×D₇₉	C₂²	semidirect
45. C₂×#41×D₇₉	C₂²	semidirect
46. C₂²×Q₈×D₇₉	C₂²	semidirect
47. C₂²×D₄×D₇₉	C₂²	semidirect
48. C₂³×C₄×D₇₉	C₂²	semidirect
49. #19099235	C₂²	semidirect
50. #19099234	C₂²	semidirect
51. #19099232	C₂²	semidirect
52. #19099231	C₂²	semidirect
53. #19099228	C₂²	semidirect
54. Q₈×C₂²⋊D₇₉	C₂²	semidirect
55. #19099226	C₂²	semidirect
56. #19099225	C₂²	semidirect
57. #19099224	C₂²	semidirect
58. #19099224	C₂²	semidirect
59. #19099223	C₂²	semidirect
60. #19099223	C₂²	semidirect
61. #19099222	C₂²	semidirect
62. #19099221	C₂²	semidirect
63. #19099216	C₂²	semidirect
64. #19099215	C₂²	semidirect
65. #19099214	C₂²	semidirect
66. #19099212	C₂²	semidirect
67. #19099211	C₂²	semidirect
68. #19099209	C₂²	semidirect
69. #19099208	C₂²	semidirect
70. #19099206	C₂²	semidirect
71. #19099205	C₂²	semidirect
72. #19099205	C₂²	semidirect
73. #19099204	C₂²	semidirect
74. #19099204	C₂²	semidirect
75. #19099203	C₂²	semidirect
76. #19099202	C₂²	semidirect
77. #19099201	C₂²	semidirect
78. #19099201	C₂²	semidirect
79. D₄×D₃₁₆	C₂²	semidirect
80. D₄×D₃₁₆	C₂²	semidirect
81. #19099197	C₂²	semidirect
82. #19099197	C₂²	semidirect
83. D₄×C₂²⋊D₇₉	C₂²	semidirect
84. #19099195	C₂²	semidirect
85. #19099144	C₂²	semidirect
86. #19099143	C₂²	semidirect
87. #19099143	C₂²	semidirect
88. #19099141	C₂²	semidirect
89. #19099141	C₂²	semidirect
90. #19099138	C₂²	semidirect
91. #19099137	C₂²	semidirect
92. #19099136	C₂²	semidirect
93. #19099136	C₂²	semidirect
94. #19099132	C₂²	semidirect
95. #19099131	C₂²	semidirect
96. #19099129	C₂²	semidirect
97. #19099129	C₂²	semidirect
98. #19099127	C₂²	semidirect
99. #19099124	C₂²	semidirect
100. #19099121	C₂²	semidirect
101. #19099114	C₂²	semidirect
102. #19099112	C₂²	semidirect
103. #19099108	C₂²	semidirect
104. #19099076	C₂²	semidirect
105. #19099076	C₂²	semidirect
106. #19099076	C₂²	semidirect
107. #19099076	C₂²	semidirect
108. #19099076	C₂²	semidirect
109. #19099076	C₂²	semidirect
110. #19099076	C₂²	semidirect
111. #19099076	C₂²	semidirect
112. #19099076	C₂²	semidirect
113. #19099076	C₂²	semidirect
114. #19099075	C₂²	semidirect
115. #19099074	C₂²	semidirect
116. #19099073	C₂²	semidirect
117. #19099073	C₂²	semidirect
118. #19099073	C₂²	semidirect
119. #19099072	C₂²	semidirect
120. #19099072	C₂²	semidirect
121. #19099071	C₂²	semidirect
122. #19099071	C₂²	semidirect
123. #19099070	C₂²	semidirect
124. #19099069	C₂²	semidirect
125. C₂×#14579146	C₂²	semidirect
126. #123×D₇₉	C₂²	semidirect
127. C₂×#14579137	C₂²	semidirect
128. C₂²⋊Q₈×D₇₉	C₂²	semidirect
129. C₂²⋊Q₈×D₇₉	C₂²	semidirect
130. C₂×#14579136	C₂²	semidirect
131. C₂×#14579135	C₂²	semidirect
132. #121×D₇₉	C₂²	semidirect
133. #121×D₇₉	C₂²	semidirect
134. C₂×#14579131	C₂²	semidirect
135. #120×D₇₉	C₂²	semidirect
136. #19099046	C₂²	semidirect
137. #19099044	C₂²	semidirect
138. #19099043	C₂²	semidirect
139. #19099039	C₂²	semidirect
140. #19099035	C₂²	semidirect
141. C₄×#11929625	C₂²	semidirect
142. C₄×#11929623	C₂²	semidirect
143. C₂×#14579123	C₂²	semidirect
144. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
145. C₄×D₄×D₇₉	C₂²	semidirect
146. C₄×D₄×D₇₉	C₂²	semidirect
147. C₂×#14579119	C₂²	semidirect
148. #117×D₇₉	C₂²	semidirect
149. C₂×2₋¹⁺⁴×C₇₉	C₂²	semidirect
150. C₂²×#41×C₇₉	C₂²	semidirect
151. D₄×Q₈×C₇₉	C₂²	semidirect
152. #548×C₇₉	C₂²	semidirect
153. #547×C₇₉	C₂²	semidirect
154. #546×C₇₉	C₂²	semidirect
155. #537×C₇₉	C₂²	semidirect
156. #536×C₇₉	C₂²	semidirect
157. #525×C₇₉	C₂²	semidirect
158. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
159. #520×C₇₉	C₂²	semidirect
175. C₂×#11929625	C₂³	semidirect
176. C₂×#11929625	C₂³	semidirect
177. C₂×#11929625	C₂³	semidirect
178. C₂×#11929625	C₂³	semidirect
187. C₂×#11929624	C₂³	semidirect
188. C₂×#11929624	C₂³	semidirect
189. C₂×#11929624	C₂³	semidirect
198. C₂×#11929623	C₂³	semidirect
208. #41×D₇₉	D₄	semidirect
215. C₂×Q₈×D₇₉	C₂³	semidirect
216. C₂×Q₈×D₇₉	C₂³	semidirect
220. C₂²×D₃₁₆	C₂³	semidirect
221. C₂²×D₃₁₆	C₂³	semidirect
234. C₂×D₄×D₇₉	C₂³	semidirect
235. C₂×D₄×D₇₉	C₂³	semidirect
236. C₂×D₄×D₇₉	C₂³	semidirect
251. C₂²×C₄×D₇₉	C₂³	semidirect
252. C₂²×C₄×D₇₉	C₂³	semidirect
253. #14579160	C₂³	semidirect
254. #14579159	C₂³	semidirect
255. #14579158	C₂³	semidirect
256. #14579157	C₂³	semidirect
257. #14579157	C₂³	semidirect
258. #14579150	C₂³	semidirect
259. #14579150	C₂³	semidirect
260. #14579149	C₂³	semidirect
261. #14579147	C₂³	semidirect
262. #14579147	C₂³	semidirect
266. #14579146	C₂³	semidirect
267. #14579146	C₂³	semidirect
268. #14579146	C₂³	semidirect
269. #14579145	C₂³	semidirect
270. #14579144	C₂³	semidirect
271. #14579144	C₂³	semidirect
274. #14579143	C₂³	semidirect
275. #14579142	C₂³	semidirect
277. #14579141	C₂³	semidirect
278. #14579141	C₂³	semidirect
280. #14579140	C₂³	semidirect
281. #14579140	C₂³	semidirect
283. #14579139	C₂³	semidirect
284. #14579139	C₂³	semidirect
285. #14579139	C₂³	semidirect
287. #14579138	C₂³	semidirect
290. #14579137	C₂³	semidirect
291. #14579137	C₂³	semidirect
292. #14579137	C₂³	semidirect
293. #14579137	C₂³	semidirect
296. #14579136	C₂³	semidirect
297. #14579136	C₂³	semidirect
298. #14579136	C₂³	semidirect
299. #14579136	C₂³	semidirect
300. #14579136	C₂³	semidirect
301. #14579136	C₂³	semidirect
304. #14579135	C₂³	semidirect
305. #14579135	C₂³	semidirect
306. #14579135	C₂³	semidirect
307. #14579135	C₂³	semidirect
308. #14579135	C₂³	semidirect
310. #14579134	C₂³	semidirect
311. #14579134	C₂³	semidirect
312. #14579134	C₂³	semidirect
313. #14579134	C₂³	semidirect
314. #14579134	C₂³	semidirect
316. #14579133	C₂³	semidirect
317. #14579133	C₂³	semidirect
318. #14579133	C₂³	semidirect
320. #14579132	C₂³	semidirect
321. #14579132	C₂³	semidirect
328. #14579131	C₂³	semidirect
329. #14579131	C₂³	semidirect
334. #14579129	C₂³	semidirect
335. #14579129	C₂³	semidirect
336. Q₈×Dic₇₉	C₂³	semidirect
337. C₄×Dic₁₅₈	C₂³	semidirect
338. #14579126	C₂³	semidirect
340. C₄×D₃₁₆	C₂³	semidirect
341. C₄×D₃₁₆	C₂³	semidirect
343. D₄×Dic₇₉	C₂³	semidirect
344. D₄×Dic₇₉	C₂³	semidirect
347. #14579123	C₂³	semidirect
348. #14579123	C₂³	semidirect
349. #14579123	C₂³	semidirect
350. #14579123	C₂³	semidirect
353. C₄×C₂²⋊D₇₉	C₂³	semidirect
354. C₄×C₂²⋊D₇₉	C₂³	semidirect
355. C₄×C₂²⋊D₇₉	C₂³	semidirect
359. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
360. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
361. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
362. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
363. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
364. #14579120	C₂³	semidirect
368. #14579119	C₂³	semidirect
369. #14579119	C₂³	semidirect
371. #14579117	C₂³	semidirect
372. C₂×C₄⋊Dic₇₉	C₂³	semidirect
373. C₂×Dic₇₉⋊C₄	C₂³	semidirect
374. C₄⋊C₄×D₇₉	C₂³	semidirect
375. C₄⋊C₄×D₇₉	C₂³	semidirect
376. C₄⋊C₄×D₇₉	C₂³	semidirect
377. C₄⋊C₄×D₇₉	C₂³	semidirect
380. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
381. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
385. C₂²⋊C₄×D₇₉	C₂³	semidirect
386. C₂²⋊C₄×D₇₉	C₂³	semidirect
387. C₂×C₄×Dic₇₉	C₂³	semidirect
388. C₄²×D₇₉	C₂³	semidirect
395. C₂×#41×C₇₉	C₂³	semidirect
396. C₂×#41×C₇₉	C₂³	semidirect
398. C₂²×Q₈×C₇₉	C₂³	semidirect
399. C₂²×Q₈×C₇₉	C₂³	semidirect
402. C₄⋊Q₈×C₇₉	C₂³	semidirect
403. #124×C₇₉	C₂³	semidirect
404. #123×C₇₉	C₂³	semidirect
405. #123×C₇₉	C₂³	semidirect
408. C₂²⋊Q₈×C₇₉	C₂³	semidirect
409. C₂²⋊Q₈×C₇₉	C₂³	semidirect
410. C₂²⋊Q₈×C₇₉	C₂³	semidirect
411. C₂²⋊Q₈×C₇₉	C₂³	semidirect
413. #121×C₇₉	C₂³	semidirect
414. #121×C₇₉	C₂³	semidirect
415. #121×C₇₉	C₂³	semidirect
417. C₄×Q₈×C₇₉	C₂³	semidirect
419. C₄×D₄×C₇₉	C₂³	semidirect
420. C₄×D₄×C₇₉	C₂³	semidirect
421. #117×C₇₉	C₂³	semidirect
422. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
423. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
445. #11929625	C₂×D₄	semidirect
455. #11929624	C₂×D₄	semidirect
463. #11929623	C₂×D₄	semidirect
475. Q₈×D₇₉	C₂×D₄	semidirect
516. D₄×D₇₉	C₂×D₄	semidirect
539. C₂×C₄×D₇₉	C₂×D₄	semidirect
603. #41×C₇₉	C₂×D₄	semidirect
782. C₂²×C₇₉	#585	semidirect
806. C₂×D₇₉	#585	semidirect
839. #3489	D₇₉	semidirect
857. C₇₉	#62811	semidirect
861. C₂×2₋¹⁺⁴	C₂×D₇₉	semidirect
881. C₂²×#41	C₂×D₇₉	semidirect
892. D₄×Q₈	C₂×D₇₉	semidirect
900. #548	C₂×D₇₉	semidirect
906. #547	C₂×D₇₉	semidirect
918. #546	C₂×D₇₉	semidirect
930. #537	C₂×D₇₉	semidirect
935. #536	C₂×D₇₉	semidirect
967. #525	C₂×D₇₉	semidirect
973. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
983. #520	C₂×D₇₉	semidirect
1049. C₂×#41	C₂²×D₇₉	semidirect
1050. C₂×#41	C₂²×D₇₉	semidirect
1060. C₂²×Q₈	C₂²×D₇₉	semidirect
1061. C₂²×Q₈	C₂²×D₇₉	semidirect
1102. C₄⋊Q₈	C₂²×D₇₉	semidirect
1111. #124	C₂²×D₇₉	semidirect
1125. #123	C₂²×D₇₉	semidirect
1126. #123	C₂²×D₇₉	semidirect
1147. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1148. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1149. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1150. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1180. #121	C₂²×D₇₉	semidirect
1181. #121	C₂²×D₇₉	semidirect
1182. #121	C₂²×D₇₉	semidirect
1201. C₄×Q₈	C₂²×D₇₉	semidirect
1228. C₄×D₄	C₂²×D₇₉	semidirect
1229. C₄×D₄	C₂²×D₇₉	semidirect
1238. #117	C₂²×D₇₉	semidirect
1245. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1246. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1304. #41	D₄×D₇₉	semidirect
1639. C₂²	#19099400	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099400	2
C₂²×#41×D₇₉	2
#23777078	2
#23777076	2
#23777073	2
#23777070	2
#23777069	2
#23777064	2
#23777061	2
#23777057	2
#23777050	2
#23777039	2
#23777030	2
D₄×#11929625	2
#23776889	2
#23776887	2
#23776884	2
#23776732	2
#23776728	2
C₂×#19099076	2
#525×D₇₉	2
#23776600	2
C₇₉×#3489	2
#62811	79