Subgroups — #35197317

Order 20224.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777467	C₂	1	4	yes	maximal, complemented
2	#23777463	C₂	1	4	yes	maximal, complemented
3	#23777431	C₂	1	4	yes	maximal, complemented
4	#23777428	C₂	1	4	yes	maximal, complemented
5	#23777360	C₂	1	4	yes	maximal, complemented
6	#23777357	C₂	1	4	yes	maximal, complemented
7	#23777339	C₂	1	4	yes	maximal, complemented
8	#23777335	C₂	1	4	yes	maximal, complemented
9	#23777252	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777238	C₂	1	4	yes	maximal, complemented
11	#23777201	C₂	1	1	yes	maximal, characteristic, complemented
12	#23777162	C₂	1	1	yes	maximal, characteristic, complemented
13	#23777113	C₂	1	2	yes	maximal, complemented
14	#23777083	C₂	1	4	yes	maximal, complemented
15	#23777034	C₂	1	2	yes	maximal, complemented
16	#23776813	C₂	1	2	yes	maximal, complemented
17	#23776807	C₂	1	4	yes	maximal, complemented
18	#23776792	C₂	1	1	yes	maximal, characteristic, complemented
19	#23776789	C₂	1	1	yes	maximal, characteristic, complemented
20	#538×D₇₉	C₂	1	4	yes	maximal, complemented
21	#23776606	C₂	1	2	yes	maximal, complemented
22	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14579207	C₂²	1	2	yes	—
25	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
26	#19099296	C₂²	1	4	yes	complemented
27	#19099286	C₂²	1	4	yes	complemented
28	#19099283	C₂²	1	2	yes	complemented
29	#19099281	C₂²	1	4	yes	complemented
30	#19099278	C₂²	1	2	yes	complemented
31	#19099278	C₂²	1	4	yes	complemented
32	#19099276	C₂²	1	4	yes	complemented
33	#19099274	C₂²	1	2	yes	complemented
34	#19099273	C₂²	1	2	yes	complemented
35	#19099273	C₂²	1	4	yes	complemented
36	#19099269	C₂²	1	4	yes	complemented
37	#19099264	C₂²	1	8	yes	complemented
38	#19099263	C₂²	1	4	yes	complemented
39	#19099263	C₂²	1	4	yes	complemented
40	#19099261	C₂²	1	4	yes	complemented
41	#19099260	C₂²	1	8	yes	complemented
42	#19099258	C₂²	1	8	yes	complemented
43	#19099254	C₂²	1	4	yes	complemented
44	#19099249	C₂²	1	8	yes	complemented
45	#19099248	C₂²	1	4	yes	complemented
46	#19099243	C₂²	1	8	yes	complemented
47	#19099242	C₂²	1	8	yes	complemented
48	#19099240	C₂²	1	8	yes	complemented
49	#19099237	C₂²	1	8	yes	complemented
50	#19099236	C₂²	1	8	yes	complemented
51	#19099236	C₂²	1	8	yes	complemented
52	#19099234	C₂²	1	2	yes	complemented
53	Q₈×D₃₁₆	C₂²	1	2	yes	complemented
54	#19099228	C₂²	1	2	yes	complemented
55	#19099221	C₂²	1	8	yes	complemented
56	#19099218	C₂²	1	2	yes	complemented
57	#19099218	C₂²	1	2	yes	complemented
58	#19099216	C₂²	1	2	yes	complemented
59	#19099210	C₂²	1	4	yes	complemented
60	#19099210	C₂²	1	4	yes	complemented
61	#19099209	C₂²	1	4	yes	complemented
62	#19099208	C₂²	1	8	yes	complemented
63	#19099206	C₂²	1	4	yes	complemented
64	#19099206	C₂²	1	4	yes	complemented
65	#19099206	C₂²	1	4	yes	complemented
66	#19099205	C₂²	1	8	yes	complemented
67	#19099202	C₂²	1	8	yes	complemented
68	#19099202	C₂²	1	8	yes	complemented
69	#19099201	C₂²	1	8	yes	complemented
70	D₄×D₃₁₆	C₂²	1	2	yes	complemented
71	#19099198	C₂²	1	4	yes	complemented
72	#19099198	C₂²	1	4	yes	complemented
73	#19099198	C₂²	1	2	yes	complemented
74	#19099197	C₂²	1	4	yes	complemented
75	#19099197	C₂²	1	4	yes	complemented
76	#19099191	C₂²	1	2	yes	complemented
77	#19099188	C₂²	1	4	yes	complemented
78	#19099187	C₂²	1	2	yes	complemented
79	#19099187	C₂²	1	2	yes	complemented
80	#19099182	C₂²	1	4	yes	complemented
81	#19099182	C₂²	1	2	yes	complemented
82	#19099182	C₂²	1	2	yes	complemented
83	#19099180	C₂²	1	4	yes	complemented
84	#19099176	C₂²	1	2	yes	complemented
85	#19099174	C₂²	1	2	yes	complemented
86	#19099169	C₂²	1	2	yes	complemented
87	#19099167	C₂²	1	4	yes	complemented
88	#19099167	C₂²	1	2	yes	complemented
89	#19099166	C₂²	1	4	yes	complemented
90	#19099162	C₂²	1	2	yes	complemented
91	#19099162	C₂²	1	2	yes	complemented
92	#19099159	C₂²	1	8	yes	complemented
93	#19099158	C₂²	1	2	yes	complemented
94	#19099158	C₂²	1	2	yes	complemented
95	#19099156	C₂²	1	8	yes	complemented
96	#19099153	C₂²	1	2	yes	complemented
97	#19099153	C₂²	1	2	yes	complemented
98	#19099152	C₂²	1	8	yes	complemented
99	#19099151	C₂²	1	4	yes	complemented
100	#19099150	C₂²	1	2	yes	complemented
101	#19099150	C₂²	1	2	yes	complemented
102	#19099149	C₂²	1	8	yes	complemented
103	#19099149	C₂²	1	8	yes	complemented
104	#19099148	C₂²	1	8	yes	complemented
105	#19099147	C₂²	1	8	yes	complemented
106	#19099146	C₂²	1	8	yes	complemented
107	#19099145	C₂²	1	8	yes	complemented
108	#19099145	C₂²	1	8	yes	complemented
109	#19099141	C₂²	1	2	yes	complemented
110	#19099130	C₂²	1	2	yes	complemented
111	#19099123	C₂²	1	8	yes	complemented
112	#19099121	C₂²	1	4	yes	complemented
113	#19099120	C₂²	1	1	yes	characteristic, complemented
114	#19099113	C₂²	1	1	yes	characteristic, complemented
115	#19099111	C₂²	1	4	yes	complemented
116	#19099108	C₂²	1	4	yes	complemented
117	#19099100	C₂²	1	4	yes	complemented
118	#19099100	C₂²	1	4	yes	complemented
119	#19099095	C₂²	1	8	yes	complemented
120	#19099094	C₂²	1	4	yes	complemented
121	#19099093	C₂²	1	8	yes	complemented
122	#19099093	C₂²	1	4	yes	complemented
123	#19099093	C₂²	1	4	yes	complemented
124	#19099092	C₂²	1	4	yes	complemented
125	#19099091	C₂²	1	8	yes	complemented
126	#126×D₇₉	C₂²	1	8	yes	complemented
127	#124×D₇₉	C₂²	1	8	yes	complemented
128	#19099075	C₂²	1	2	yes	complemented
129	#19099074	C₂²	1	4	yes	complemented
130	#19099072	C₂²	1	8	yes	complemented
131	#19099070	C₂²	1	2	yes	complemented
132	#19099070	C₂²	1	8	yes	complemented
133	#19099069	C₂²	1	8	yes	complemented
134	#123×D₇₉	C₂²	1	8	yes	complemented
135	C₂²⋊Q₈×D₇₉	C₂²	1	4	yes	complemented
136	#121×D₇₉	C₂²	1	4	yes	complemented
137	#121×D₇₉	C₂²	1	8	yes	complemented
138	#120×D₇₉	C₂²	1	8	yes	complemented
139	#19099045	C₂²	1	4	yes	complemented
140	#19099044	C₂²	1	2	yes	complemented
141	#19099044	C₂²	1	4	yes	complemented
142	#19099037	C₂²	1	2	yes	—
143	#19099037	C₂²	1	4	yes	complemented
144	#19099035	C₂²	1	4	yes	complemented
145	#19099035	C₂²	1	4	yes	complemented
146	#19099035	C₂²	1	4	yes	complemented
147	#19099035	C₂²	1	4	yes	complemented
148	#19099035	C₂²	1	8	yes	complemented
149	#19099035	C₂²	1	4	yes	complemented
150	#41×Dic₇₉	C₂²	1	2	yes	complemented
151	C₄×#11929625	C₂²	1	4	yes	complemented
152	#19099031	C₂²	1	2	yes	complemented
153	#19099031	C₂²	1	4	yes	complemented
154	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
155	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
156	C₂×#14579123	C₂²	1	1	yes	characteristic
157	C₂×#14579123	C₂²	1	4	yes	complemented
158	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
159	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
160	C₄×D₄×D₇₉	C₂²	1	8	yes	complemented
161	C₄×D₄×D₇₉	C₂²	1	4	yes	complemented
162	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
163	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
164	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
165	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
166	#559×C₇₉	C₂²	1	4	yes	complemented
167	#556×C₇₉	C₂²	1	2	yes	complemented
168	#555×C₇₉	C₂²	1	2	yes	complemented
169	#553×C₇₉	C₂²	1	4	yes	complemented
170	#550×C₇₉	C₂²	1	2	yes	complemented
171	#547×C₇₉	C₂²	1	2	yes	complemented
172	#538×C₇₉	C₂²	1	4	yes	complemented
173	#535×C₇₉	C₂²	1	2	yes	complemented
174	#533×C₇₉	C₂²	1	1	yes	characteristic, complemented
175	#532×C₇₉	C₂²	1	1	yes	characteristic, complemented
176	#525×C₇₉	C₂²	1	4	yes	complemented
177	#520×C₇₉	C₂²	1	2	yes	complemented
178	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
179	C₂⁴×D₇₉	C₂³	1	2	yes	—
180	#14579207	—	2	16	no	—
181	C₂×#11929625	C₂³	1	4	yes	—
182	C₂×#11929624	C₂³	1	2	yes	—
183	C₂×#11929624	C₂³	1	4	yes	—
184	C₂×#11929624	C₂³	1	4	yes	complemented
185	C₂×#11929623	C₂³	1	8	yes	complemented
186	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
187	C₂²×D₃₁₆	C₂³	1	4	yes	—
188	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
190	C₂×D₄×D₇₉	—	2	8	no	—
191	C₂×D₄×D₇₉	C₂³	1	4	yes	—
192	C₂×D₄×D₇₉	C₂³	1	8	yes	—
193	C₂×D₄×D₇₉	C₂³	1	4	yes	—
194	C₂×D₄×D₇₉	C₂³	1	4	yes	—
195	C₂×D₄×D₇₉	C₂³	1	8	yes	—
196	C₂×D₄×D₇₉	C₂³	1	8	yes	—
197	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
198	C₂³×Dic₇₉	C₂³	1	2	yes	—
199	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
201	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
202	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
203	#14579161	C₂³	1	1	yes	characteristic, complemented
204	#14579161	C₂³	1	1	yes	characteristic, complemented
205	#14579161	C₂³	1	1	yes	characteristic, complemented
206	#14579161	C₂³	1	4	yes	complemented
207	#14579160	C₂³	1	4	yes	complemented
208	#14579158	C₂³	1	1	yes	characteristic, complemented
209	#14579157	C₂³	1	4	yes	—
210	#14579156	C₂³	1	4	yes	—
211	#14579156	C₂³	1	8	yes	—
212	#14579156	C₂³	1	4	yes	—
213	#14579156	C₂³	1	4	yes	—
214	#14579156	C₂³	1	4	yes	—
215	#14579156	C₂³	1	4	yes	complemented
216	#14579156	C₂³	1	8	yes	complemented
217	#14579156	C₂³	1	4	yes	complemented
218	#14579155	C₂³	1	8	yes	—
219	#14579154	C₂³	1	8	yes	complemented
220	#14579154	C₂³	1	8	yes	complemented
221	#14579154	C₂³	1	8	yes	complemented
222	#14579154	C₂³	1	8	yes	complemented
223	#14579154	C₂³	1	4	yes	complemented
224	#14579154	C₂³	1	4	yes	complemented
225	#14579153	C₂³	1	2	yes	complemented
226	#14579153	C₂³	1	4	yes	complemented
227	#14579152	C₂³	1	4	yes	complemented
228	#14579152	C₂³	1	4	yes	complemented
229	#14579152	C₂³	1	4	yes	complemented
230	#14579151	C₂³	1	8	yes	complemented
231	#14579151	C₂³	1	4	yes	complemented
232	#14579151	C₂³	1	4	yes	complemented
233	#14579150	C₂³	1	4	yes	—
234	#14579150	C₂³	1	4	yes	—
235	#14579149	C₂³	1	8	yes	—
236	#14579149	C₂³	1	2	yes	complemented
237	#14579148	C₂³	1	4	yes	—
238	#14579148	C₂³	1	8	yes	complemented
239	#14579147	C₂³	1	8	yes	—
240	#14579147	C₂³	1	4	yes	—
241	#14579147	C₂³	1	4	yes	—
242	#14579147	C₂³	1	8	yes	complemented
243	#14579147	C₂³	1	8	yes	complemented
244	#14579147	C₂³	1	8	yes	complemented
245	#14579146	C₂³	1	8	yes	—
246	#14579146	C₂³	1	4	yes	—
247	#14579146	C₂³	1	4	yes	—
248	#14579146	C₂³	1	4	yes	complemented
249	#14579146	C₂³	1	8	yes	complemented
250	#14579146	C₂³	1	4	yes	complemented
251	#14579145	C₂³	1	4	yes	—
252	#14579145	C₂³	1	4	yes	—
253	#14579145	C₂³	1	4	yes	—
254	#14579145	C₂³	1	8	yes	complemented
255	#14579144	C₂³	1	8	yes	—
256	#14579144	C₂³	1	8	yes	complemented
257	#14579143	C₂³	1	8	yes	—
258	#14579143	C₂³	1	8	yes	—
259	#14579143	C₂³	1	8	yes	complemented
260	#14579143	C₂³	1	8	yes	complemented
261	#14579143	C₂³	1	8	yes	complemented
262	#14579142	C₂³	1	4	yes	—
263	#14579142	C₂³	1	4	yes	complemented
264	#14579142	C₂³	1	8	yes	complemented
265	#14579142	C₂³	1	4	yes	complemented
266	#14579142	C₂³	1	8	yes	complemented
267	#14579141	C₂³	1	2	yes	—
268	#14579141	C₂³	1	2	yes	—
269	#14579141	C₂³	1	4	yes	complemented
270	#14579141	C₂³	1	8	yes	complemented
271	#14579140	C₂³	1	2	yes	—
272	#14579140	C₂³	1	2	yes	—
273	#14579140	C₂³	1	4	yes	complemented
274	#14579140	C₂³	1	4	yes	complemented
275	#14579139	C₂³	1	8	yes	complemented
276	#14579139	C₂³	1	8	yes	complemented
277	#14579139	C₂³	1	8	yes	complemented
278	#14579138	C₂³	1	8	yes	—
279	#14579138	C₂³	1	4	yes	complemented
280	#14579138	C₂³	1	4	yes	complemented
281	#14579138	C₂³	1	8	yes	complemented
282	#14579137	C₂³	1	2	yes	—
283	#14579137	C₂³	1	2	yes	—
284	#14579137	C₂³	1	4	yes	complemented
285	#14579137	C₂³	1	4	yes	complemented
286	#14579137	C₂³	1	4	yes	complemented
287	#14579137	C₂³	1	8	yes	complemented
288	#14579137	C₂³	1	4	yes	complemented
289	#14579136	C₂³	1	4	yes	—
290	#14579136	C₂³	1	4	yes	—
291	#14579136	C₂³	1	2	yes	—
292	#14579136	C₂³	1	2	yes	—
293	#14579136	C₂³	1	4	yes	complemented
294	#14579135	C₂³	1	8	yes	—
295	#14579135	C₂³	1	2	yes	—
296	#14579135	C₂³	1	2	yes	—
297	#14579135	C₂³	1	4	yes	complemented
298	#14579135	C₂³	1	4	yes	complemented
299	#14579134	C₂³	1	8	yes	—
300	#14579134	C₂³	1	8	yes	—
301	#14579134	C₂³	1	8	yes	—
302	#14579134	C₂³	1	8	yes	complemented
303	#14579134	C₂³	1	8	yes	complemented
304	#14579133	C₂³	1	8	yes	—
305	#14579133	C₂³	1	4	yes	—
306	#14579133	C₂³	1	4	yes	—
307	#14579133	C₂³	1	8	yes	complemented
308	#14579133	C₂³	1	8	yes	complemented
309	#14579132	C₂³	1	8	yes	—
310	#14579132	C₂³	1	8	yes	—
311	#14579132	C₂³	1	2	yes	—
312	#14579132	C₂³	1	2	yes	—
313	#14579132	C₂³	1	4	yes	—
314	#14579132	C₂³	1	4	yes	—
315	#14579132	C₂³	1	4	yes	complemented
316	#14579132	C₂³	1	4	yes	complemented
317	#14579132	C₂³	1	8	yes	complemented
318	#14579131	C₂³	1	4	yes	—
319	#14579131	C₂³	1	8	yes	—
320	#14579131	C₂³	1	8	yes	—
321	#14579131	C₂³	1	8	yes	complemented
322	#14579130	C₂³	1	8	yes	—
323	#14579129	C₂³	1	8	yes	—
324	#14579129	C₂³	1	8	yes	—
325	#14579129	C₂³	1	8	yes	—
326	#14579129	C₂³	1	4	yes	—
327	#14579129	C₂³	1	8	yes	—
328	#14579129	C₂³	1	8	yes	complemented
329	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
330	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
331	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
332	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
333	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
334	#14579126	C₂³	1	2	yes	complemented
335	#14579126	C₂³	1	2	yes	complemented
336	#14579126	C₂³	1	4	yes	complemented
337	C₄×D₃₁₆	C₂³	1	4	yes	—
338	C₄×D₃₁₆	C₂³	1	4	yes	—
339	C₄×D₃₁₆	C₂³	1	4	yes	—
340	C₄×D₃₁₆	C₂³	1	4	yes	—
341	C₄×D₃₁₆	C₂³	1	2	yes	—
342	C₄×D₃₁₆	C₂³	1	2	yes	—
343	C₄×D₃₁₆	C₂³	1	2	yes	—
344	C₄×D₃₁₆	C₂³	1	2	yes	—
345	C₄×D₃₁₆	C₂³	1	8	yes	complemented
346	C₄×D₃₁₆	C₂³	1	2	yes	complemented
347	C₄×D₃₁₆	C₂³	1	2	yes	complemented
348	C₄×D₃₁₆	C₂³	1	8	yes	complemented
349	D₄×Dic₇₉	C₂³	1	4	yes	—
350	D₄×Dic₇₉	C₂³	1	4	yes	—
351	D₄×Dic₇₉	C₂³	1	4	yes	—
352	D₄×Dic₇₉	C₂³	1	4	yes	—
353	D₄×Dic₇₉	C₂³	1	2	yes	complemented
354	D₄×Dic₇₉	C₂³	1	2	yes	complemented
355	D₄×Dic₇₉	C₂³	1	8	yes	complemented
356	#14579123	C₂³	1	4	yes	—
357	#14579123	C₂³	1	4	yes	—
358	#14579123	C₂³	1	4	yes	—
359	#14579123	C₂³	1	4	yes	—
360	#14579123	C₂³	1	8	yes	complemented
361	#14579123	C₂³	1	2	yes	complemented
362	#14579123	C₂³	1	2	yes	complemented
363	#14579123	C₂³	1	8	yes	complemented
364	#14579123	C₂³	1	4	yes	complemented
365	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
366	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
367	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
368	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
369	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
370	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
372	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
373	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
374	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
375	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
376	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
377	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
378	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
379	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
380	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
381	#14579120	C₂³	1	2	yes	—
382	#14579120	C₂³	1	4	yes	complemented
383	#14579120	C₂³	1	4	yes	complemented
384	#14579120	C₂³	1	8	yes	complemented
385	#14579119	C₂³	1	4	yes	—
386	#14579119	C₂³	1	4	yes	—
387	#14579119	C₂³	1	8	yes	complemented
388	#14579119	C₂³	1	4	yes	complemented
389	#14579118	C₂³	1	2	yes	—
390	#14579118	C₂³	1	2	yes	—
391	#14579118	C₂³	1	2	yes	—
392	#14579118	C₂³	1	2	yes	—
393	#14579118	C₂³	1	4	yes	complemented
394	#14579118	C₂³	1	8	yes	complemented
395	#14579118	C₂³	1	8	yes	complemented
396	#14579117	C₂³	1	8	yes	complemented
397	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
398	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
400	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
401	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
402	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
403	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
404	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
405	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
406	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
407	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
410	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
411	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
412	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
413	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
414	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
415	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
416	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
417	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
418	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
419	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
420	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
421	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
422	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
423	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
424	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
425	C₄²×D₇₉	C₂³	1	8	yes	complemented
426	C₄²×D₇₉	C₂³	1	4	yes	complemented
427	C₂×#41×C₇₉	C₂³	1	2	yes	—
428	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
429	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
430	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
431	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
432	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
433	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
434	#127×C₇₉	C₂³	1	4	yes	—
435	#127×C₇₉	C₂³	1	1	yes	characteristic, complemented
436	#126×C₇₉	C₂³	1	8	yes	complemented
437	#125×C₇₉	C₂³	1	2	yes	complemented
438	#124×C₇₉	C₂³	1	4	yes	—
439	#124×C₇₉	C₂³	1	8	yes	complemented
440	#124×C₇₉	C₂³	1	2	yes	complemented
441	#123×C₇₉	C₂³	1	8	yes	complemented
442	#123×C₇₉	C₂³	1	8	yes	complemented
443	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
444	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
445	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
446	#121×C₇₉	C₂³	1	2	yes	—
447	#121×C₇₉	C₂³	1	2	yes	—
448	#121×C₇₉	C₂³	1	4	yes	—
449	#121×C₇₉	C₂³	1	4	yes	—
450	#121×C₇₉	C₂³	1	4	yes	complemented
451	#121×C₇₉	C₂³	1	8	yes	complemented
452	#120×C₇₉	C₂³	1	8	yes	—
453	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
454	C₄×Q₈×C₇₉	C₂³	1	4	yes	complemented
455	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
456	C₄×D₄×C₇₉	C₂³	1	8	yes	—
457	C₄×D₄×C₇₉	C₂³	1	2	yes	—
458	C₄×D₄×C₇₉	C₂³	1	2	yes	—
459	C₄×D₄×C₇₉	C₂³	1	2	yes	—
460	C₄×D₄×C₇₉	C₂³	1	2	yes	—
461	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
462	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
463	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
464	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
465	#117×C₇₉	C₂³	1	2	yes	—
466	#117×C₇₉	C₂³	1	4	yes	complemented
467	#117×C₇₉	C₂³	1	4	yes	complemented
468	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	complemented
470	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
471	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
472	C₂³×D₇₉	—	2	8	no	—
473	C₂³×D₇₉	—	8	2	no	—
474	C₂³×D₇₉	—	8	2	no	—
475	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
476	C₂³×D₇₉	C₂⁴	1	8	yes	—
477	C₂³×D₇₉	C₂⁴	1	8	yes	—
478	C₂³×D₇₉	C₂⁴	1	2	yes	—
479	#11929625	—	2	16	no	—
480	#11929624	—	2	16	no	—
481	#11929624	—	2	8	no	—
482	#11929624	—	8	4	no	—
483	#11929623	—	8	8	no	—
484	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
485	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
486	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
487	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
488	Q₈×D₇₉	—	8	4	no	—
489	C₂×D₃₁₆	—	2	16	no	—
490	C₂×D₃₁₆	#41	1	8	yes	complemented
491	C₂×D₃₁₆	C₂⁴	1	2	yes	—
492	C₂×D₃₁₆	C₂⁴	1	8	yes	—
493	C₂×D₃₁₆	C₂⁴	1	2	yes	—
494	C₂×D₃₁₆	C₂⁴	1	4	yes	—
495	C₂×D₃₁₆	C₂⁴	1	4	yes	—
496	C₂×D₃₁₆	C₂⁴	1	2	yes	—
497	C₂×D₃₁₆	C₂⁴	1	2	yes	—
498	C₂×D₃₁₆	C₂⁴	1	2	yes	—
499	C₂×C₂²⋊D₇₉	—	2	8	no	—
500	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
501	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
502	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
503	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
504	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
505	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
506	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
508	D₄×D₇₉	—	2	16	no	—
509	D₄×D₇₉	—	2	16	no	—
510	D₄×D₇₉	—	2	16	no	—
511	D₄×D₇₉	—	2	32	no	—
512	D₄×D₇₉	—	8	8	no	—
513	D₄×D₇₉	—	8	8	no	—
514	D₄×D₇₉	—	8	4	no	—
515	C₂²×Dic₇₉	—	8	2	no	—
516	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
518	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
519	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
520	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
521	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
522	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
523	C₂×C₄×D₇₉	—	2	4	no	—
524	C₂×C₄×D₇₉	—	8	2	no	—
525	C₂×C₄×D₇₉	—	8	2	no	—
526	C₂×C₄×D₇₉	—	8	8	no	—
527	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
528	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
529	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
530	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
531	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
532	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
533	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
534	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
535	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
536	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
537	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
538	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
539	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
540	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
541	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
542	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
543	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
544	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
545	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
546	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
547	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
548	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
549	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
550	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
551	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
552	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
553	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
554	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
555	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
556	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
557	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
558	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
559	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
560	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
561	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
562	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
563	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
564	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
565	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
566	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
567	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
568	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
569	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
570	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
571	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
572	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
573	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
574	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
575	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
576	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
577	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
578	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
579	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
580	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
581	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
582	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
583	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
584	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
585	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
586	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
587	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
588	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
589	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
590	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
591	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
592	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
593	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
594	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
595	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
596	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
597	C₄×Dic₇₉	C₂⁴	1	4	yes	—
598	C₄×Dic₇₉	C₂⁴	1	2	yes	—
599	C₄×Dic₇₉	C₂⁴	1	4	yes	—
600	C₄×Dic₇₉	C₂⁴	1	4	yes	—
601	C₄×Dic₇₉	C₂⁴	1	8	yes	—
602	C₄×Dic₇₉	C₂⁴	1	2	yes	—
603	C₄×Dic₇₉	C₂⁴	1	8	yes	—
604	C₄×Dic₇₉	C₂⁴	1	4	yes	—
605	C₄×Dic₇₉	C₂⁴	1	4	yes	—
606	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
607	#41×C₇₉	—	2	8	no	—
608	#41×C₇₉	—	8	4	no	—
609	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
610	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
611	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
612	C₂×D₄×C₇₉	—	2	4	no	—
613	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
614	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
615	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
616	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
617	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
618	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
619	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
620	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
621	C₂²×C₄×C₇₉	—	8	2	no	—
622	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
623	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
627	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
628	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
629	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
631	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
632	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
633	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
634	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
635	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
636	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
637	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
639	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
640	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
641	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
642	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
643	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
644	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
645	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
646	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
647	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
648	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
649	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
650	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
651	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
652	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
653	C₄²×C₇₉	C₂⁴	1	4	yes	—
654	C₄²×C₇₉	C₂⁴	1	8	yes	—
655	C₂³×C₇₉	—	2	4	no	—
656	C₂³×C₇₉	—	4	2	no	—
657	C₂³×C₇₉	—	4	2	no	—
658	C₂³×C₇₉	C₂⁵	1	4	yes	—
659	C₂³×C₇₉	C₂⁵	1	4	yes	—
660	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
661	C₂²×D₇₉	—	2	2	no	—
662	C₂²×D₇₉	—	2	16	no	—
663	C₂²×D₇₉	—	2	16	no	—
664	C₂²×D₇₉	—	4	2	no	—
665	C₂²×D₇₉	—	4	2	no	—
666	C₂²×D₇₉	—	4	1	no	—
667	C₂²×D₇₉	—	4	1	no	—
668	C₂²×D₇₉	—	4	8	no	—
669	C₂²×D₇₉	—	4	8	no	—
670	C₂²×D₇₉	—	4	8	no	—
671	C₂²×D₇₉	—	4	8	no	—
672	C₂²×D₇₉	—	8	16	no	—
673	C₂²×D₇₉	C₂×#41	1	8	yes	—
674	C₂²×D₇₉	C₂⁵	1	2	yes	—
675	C₂²×D₇₉	C₂⁵	1	4	yes	—
676	C₂²×D₇₉	C₂⁵	1	4	yes	—
677	Q₈×C₇₉	—	2	4	no	—
678	Q₈×C₇₉	—	4	2	no	—
679	Q₈×C₇₉	—	4	2	no	—
680	D₄×C₇₉	—	2	8	no	—
681	D₄×C₇₉	—	2	4	no	—
682	D₄×C₇₉	—	2	4	no	—
683	D₄×C₇₉	—	2	4	no	—
684	D₄×C₇₉	—	4	2	no	—
685	D₄×C₇₉	—	4	8	no	—
686	D₄×C₇₉	—	4	8	no	—
687	D₄×C₇₉	—	4	2	no	—
688	C₂×C₄×C₇₉	—	2	8	no	—
689	C₂×C₄×C₇₉	—	4	1	no	—
690	C₂×C₄×C₇₉	—	4	2	no	—
691	C₂×C₄×C₇₉	—	4	8	no	—
692	C₂×C₄×C₇₉	—	4	4	no	—
693	C₂×C₄×C₇₉	—	4	1	no	—
694	C₂×C₄×C₇₉	—	4	4	no	—
695	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
696	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
697	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
698	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
699	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
700	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
701	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
702	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
703	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
704	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
705	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
706	C₂²⋊D₇₉	—	2	8	no	—
707	C₂²⋊D₇₉	—	2	16	no	—
708	C₂²⋊D₇₉	—	2	16	no	—
709	C₂²⋊D₇₉	—	4	4	no	—
710	C₂²⋊D₇₉	—	4	4	no	—
711	C₂²⋊D₇₉	—	4	8	no	—
712	C₂²⋊D₇₉	—	4	8	no	—
713	C₂²⋊D₇₉	—	4	8	no	—
714	C₂×Dic₇₉	—	2	2	no	—
715	C₂×Dic₇₉	—	4	4	no	—
716	C₂×Dic₇₉	—	4	1	no	—
717	C₂×Dic₇₉	—	4	2	no	—
718	C₂×Dic₇₉	—	4	1	no	—
719	C₂×Dic₇₉	—	4	8	no	—
720	C₂×Dic₇₉	—	4	4	no	—
721	C₂×Dic₇₉	C₂⁵	1	2	yes	—
722	C₂×Dic₇₉	C₂⁵	1	2	yes	—
723	C₂×Dic₇₉	C₂⁵	1	4	yes	—
724	C₂×Dic₇₉	C₂⁵	1	4	yes	—
725	C₂×Dic₇₉	C₂⁵	1	2	yes	—
726	C₂×Dic₇₉	C₂⁵	1	4	yes	—
727	C₂×Dic₇₉	C₂⁵	1	4	yes	—
728	D₃₁₆	—	2	16	no	—
729	D₃₁₆	—	2	4	no	—
730	D₃₁₆	—	4	4	no	—
731	D₃₁₆	—	4	2	no	—
732	D₃₁₆	—	4	4	no	—
733	D₃₁₆	—	4	2	no	—
734	D₃₁₆	C₂×#41	1	8	yes	—
735	D₃₁₆	C₂×#41	1	8	yes	—
736	C₄×D₇₉	—	2	16	no	—
737	C₄×D₇₉	—	2	4	no	—
738	C₄×D₇₉	—	2	4	no	—
739	C₄×D₇₉	—	2	8	no	—
740	C₄×D₇₉	—	4	8	no	—
741	C₄×D₇₉	—	4	4	no	—
742	C₄×D₇₉	—	4	8	no	—
743	C₄×D₇₉	—	4	4	no	—
744	C₄×D₇₉	—	4	4	no	—
745	C₄×D₇₉	—	4	8	no	—
746	C₄×D₇₉	—	4	8	no	—
747	C₄×D₇₉	—	4	4	no	—
748	Dic₁₅₈	—	2	4	no	—
749	Dic₁₅₈	—	4	2	no	—
750	Dic₁₅₈	—	4	8	no	—
751	Dic₁₅₈	—	4	2	no	—
752	C₂²×C₇₉	—	2	1	no	—
753	C₂²×C₇₉	—	2	1	no	—
754	C₂²×C₇₉	—	2	4	no	—
755	C₂²×C₇₉	—	2	4	no	—
756	C₂²×C₇₉	—	2	4	no	—
757	C₂²×C₇₉	—	2	4	no	—
758	C₂²×C₇₉	—	2	4	no	—
759	C₂²×C₇₉	—	2	4	no	—
760	C₂²×C₇₉	—	4	8	no	—
761	C₂²×C₇₉	C₂²×#41	1	2	yes	—
762	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
763	C₂×D₇₉	—	2	4	no	—
764	C₂×D₇₉	—	2	4	no	—
765	C₂×D₇₉	—	2	4	no	—
766	C₂×D₇₉	—	2	2	no	—
767	C₂×D₇₉	—	2	4	no	—
768	C₂×D₇₉	—	2	2	no	—
769	C₂×D₇₉	—	2	2	no	—
770	C₂×D₇₉	—	2	4	no	—
771	C₂×D₇₉	—	4	8	no	—
772	C₂×D₇₉	—	4	4	no	—
773	C₂×D₇₉	—	8	16	no	—
774	C₂×D₇₉	—	8	16	no	—
775	C₂×D₇₉	C₂²×#41	1	8	yes	—
776	C₄×C₇₉	—	2	4	no	—
777	C₄×C₇₉	—	2	1	no	—
778	C₄×C₇₉	—	2	1	no	—
779	C₄×C₇₉	—	2	4	no	—
780	C₄×C₇₉	—	2	4	no	—
781	C₄×C₇₉	—	2	1	no	—
782	C₄×C₇₉	—	2	1	no	—
783	C₄×C₇₉	—	2	4	no	—
784	C₄×C₇₉	C₂²×#41	1	2	yes	—
785	C₄×C₇₉	C₂²×#41	1	2	yes	—
786	Dic₇₉	—	2	2	no	—
787	Dic₇₉	—	2	4	no	—
788	Dic₇₉	—	2	4	no	—
789	Dic₇₉	—	2	4	no	—
790	Dic₇₉	—	2	4	no	—
791	Dic₇₉	—	2	2	no	—
792	Dic₇₉	—	2	2	no	—
793	#62846	—	79	1	no	maximal, Sylow
794	C₂×C₇₉	—	2	2	no	—
795	C₂×C₇₉	—	4	4	no	—
796	C₂×C₇₉	—	4	4	no	—
797	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
798	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
799	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
800	D₇₉	—	2	8	no	—
801	D₇₉	—	4	2	no	—
802	D₇₉	—	4	4	no	—
803	#3521	—	79	4	no	—
804	#3521	—	79	4	no	—
805	#3519	—	79	4	no	—
806	#3519	—	79	4	no	—
807	#3514	—	79	4	no	—
808	#3514	—	79	4	no	—
809	#3513	—	79	4	no	—
810	#3513	—	79	4	no	—
811	#3506	—	79	1	no	—
812	#3506	D₇₉	1	1	yes	characteristic, complemented
813	#3505	—	79	4	no	—
814	#3501	—	79	1	no	—
815	#3496	—	79	1	no	—
816	#3493	—	79	2	no	—
817	#3490	—	79	4	no	—
818	#3484	—	79	2	no	—
819	#3460	—	79	2	no	—
820	#3459	—	79	4	no	—
821	#3455	—	79	1	no	—
822	#3455	—	79	1	no	—
823	C₂×#538	—	79	4	no	—
824	C₄×H(5,𝔽₂)	—	79	2	no	—
825	C₂×#518	—	79	1	no	—
826	C₇₉	#62846	1	1	yes	characteristic, complemented, Sylow
827	C₂×H(5,𝔽₂)	—	79	2	no	—
828	C₂³×D₄	—	79	1	no	—
829	#559	—	79	4	no	—
830	#559	C₂×D₇₉	1	4	yes	complemented
831	#556	—	79	4	no	—
832	#556	—	79	2	no	—
833	#556	—	79	4	no	—
834	#556	C₂×D₇₉	1	2	yes	complemented
835	#555	—	79	2	no	—
836	#555	—	79	4	no	—
837	#555	—	79	4	no	—
838	#555	C₂×D₇₉	1	2	yes	complemented
839	#554	—	79	2	no	—
840	#554	—	79	4	no	—
841	#554	—	79	2	no	—
842	#554	—	79	4	no	—
843	#553	—	79	8	no	—
844	#553	—	79	8	no	—
845	#553	—	79	8	no	—
846	#553	—	79	4	no	—
847	#553	—	79	4	no	—
848	#553	—	79	4	no	—
849	#553	C₂×D₇₉	1	4	yes	complemented
850	#552	—	79	8	no	—
851	#552	—	79	4	no	—
852	#552	—	79	4	no	—
853	#551	—	79	8	no	—
854	#551	—	79	8	no	—
855	#551	—	79	8	no	—
856	#551	—	79	8	no	—
857	#551	—	79	8	no	—
858	#551	—	79	8	no	—
859	#550	—	79	2	no	—
860	#550	C₂×D₇₉	1	2	yes	complemented
861	D₄×Q₈	—	79	2	no	—
862	D₄×Q₈	—	79	2	no	—
863	#548	—	79	8	no	—
864	#547	—	79	2	no	—
865	#547	—	79	2	no	—
866	#547	—	79	2	no	—
867	#547	C₂×D₇₉	1	2	yes	complemented
868	#546	—	79	8	no	—
869	#546	—	79	4	no	—
870	#546	—	79	4	no	—
871	#546	—	79	4	no	—
872	#546	—	79	8	no	—
873	#546	—	79	4	no	—
874	#546	—	79	4	no	—
875	#546	—	79	8	no	—
876	#546	—	79	8	no	—
877	#546	—	79	8	no	—
878	#546	—	79	4	no	—
879	D₄²	—	79	4	no	—
880	D₄²	—	79	4	no	—
881	D₄²	—	79	2	no	—
882	D₄²	—	79	4	no	—
883	D₄²	—	79	4	no	—
884	D₄²	—	79	2	no	—
885	#544	—	79	2	no	—
886	#543	—	79	4	no	—
887	#542	—	79	2	no	—
888	#542	—	79	2	no	—
889	#542	—	79	4	no	—
890	#542	—	79	2	no	—
891	#542	—	79	2	no	—
892	#542	—	79	4	no	—
893	#541	—	79	2	no	—
894	#541	—	79	2	no	—
895	#540	—	79	4	no	—
896	#540	—	79	2	no	—
897	#540	—	79	2	no	—
898	#540	—	79	4	no	—
899	#539	—	79	8	no	—
900	#539	—	79	2	no	—
901	#539	—	79	2	no	—
902	#539	—	79	8	no	—
903	#539	—	79	2	no	—
904	#539	—	79	2	no	—
905	#538	—	79	8	no	—
906	#538	—	79	8	no	—
907	#538	—	79	8	no	—
908	#538	—	79	8	no	—
909	#538	—	79	2	no	—
910	#538	—	79	2	no	—
911	#538	—	79	2	no	—
912	#538	—	79	2	no	—
913	#538	—	79	8	no	—
914	#538	—	79	8	no	—
915	#538	—	79	8	no	—
916	#538	—	79	8	no	—
917	#538	—	79	4	no	—
918	#538	C₂×D₇₉	1	4	yes	complemented
919	#537	—	79	2	no	—
920	#535	—	79	2	no	—
921	#535	C₂×D₇₉	1	2	yes	complemented
922	#534	—	79	4	no	—
923	#534	—	79	8	no	—
924	#533	—	79	1	no	—
925	#533	C₂×D₇₉	1	1	yes	characteristic, complemented
926	#532	—	79	4	no	—
927	#532	—	79	4	no	—
928	#532	—	79	1	no	—
929	#532	C₂×D₇₉	1	1	yes	characteristic, complemented
930	#529	—	79	4	no	—
931	#529	—	79	4	no	—
932	#529	—	79	4	no	—
933	#529	—	79	4	no	—
934	#529	—	79	8	no	—
935	#529	—	79	4	no	—
936	#529	—	79	4	no	—
937	#529	—	79	8	no	—
938	#529	—	79	8	no	—
939	C₂×#126	—	79	8	no	—
940	C₂×#124	—	79	8	no	—
941	#525	—	79	2	no	—
942	#525	—	79	8	no	—
943	#525	—	79	4	no	—
944	#525	—	79	8	no	—
945	#525	—	79	8	no	—
946	#525	—	79	2	no	—
947	#525	C₂×D₇₉	1	4	yes	complemented
948	C₂×#123	—	79	8	no	—
949	C₂×C₂²⋊Q₈	—	79	4	no	—
950	C₂×#121	—	79	4	no	—
951	C₂×#121	—	79	8	no	—
952	C₂×#120	—	79	8	no	—
953	#520	—	79	4	no	—
954	#520	—	79	2	no	—
955	#520	—	79	4	no	—
956	#520	C₂×D₇₉	1	2	yes	complemented
957	#518	—	79	4	no	—
958	#518	—	79	4	no	—
959	#518	—	79	4	no	—
960	#518	—	79	4	no	—
961	#518	—	79	8	no	—
962	#518	—	79	4	no	—
963	#518	—	79	2	no	—
964	#518	—	79	4	no	—
965	C₄×#41	—	79	2	no	—
966	C₄×#41	—	79	4	no	—
967	C₄×#41	—	79	2	no	—
968	C₄×#41	—	79	4	no	—
969	C₂×C₄×D₄	—	79	1	no	—
970	C₂×C₄×D₄	—	79	2	no	—
971	C₂×C₄×D₄	—	79	8	no	—
972	C₂×C₄×D₄	—	79	4	no	—
973	C₂×C₄×D₄	—	79	1	no	—
974	C₂×C₄×D₄	—	79	4	no	—
975	C₂×C₄×D₄	—	79	2	no	—
976	C₂×C₄×D₄	—	79	1	no	—
977	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
978	C₂×#117	—	79	1	no	—
979	C₂×#117	—	79	1	no	—
980	C₂²×C₂²⋊C₄	—	79	2	no	—
981	C₂²×C₂²⋊C₄	—	79	2	no	—
982	C₂⁵	—	79	2	no	—
983	H(5,𝔽₂)	—	158	16	no	—
984	C₂×#41	—	79	4	no	—
985	C₂×#41	—	79	8	no	—
986	C₂×#41	—	79	4	no	—
987	C₂×#41	—	79	2	no	—
988	C₂×#41	—	79	4	no	—
989	C₂×#41	C₂²×D₇₉	1	2	yes	—
990	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
991	C₂²×Q₈	—	79	4	no	—
992	C₂²×D₄	—	79	2	no	—
993	C₂²×D₄	—	79	8	no	—
994	C₂²×D₄	—	79	8	no	—
995	C₂²×D₄	—	79	4	no	—
996	C₂²×D₄	—	79	8	no	—
997	C₂²×D₄	—	79	4	no	—
998	C₂²×D₄	—	79	4	no	—
999	C₂²×D₄	—	79	4	no	—
1000	C₂²×D₄	—	79	1	no	—
1001	C₂²×D₄	—	79	4	no	—
1002	C₂²×D₄	—	158	8	no	—
1003	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1004	C₂³×C₄	—	79	2	no	—
1005	C₂³×C₄	—	79	2	no	—
1006	C₂³×C₄	—	79	2	no	—
1007	C₂³×C₄	—	79	8	no	—
1008	C₂³×C₄	—	79	1	no	—
1009	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
1010	C₄⋊Q₈	—	79	4	no	—
1011	C₄⋊Q₈	—	79	1	no	—
1012	C₄⋊Q₈	—	79	4	no	—
1013	C₄⋊Q₈	—	79	1	no	—
1014	C₄⋊Q₈	—	79	1	no	—
1015	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1016	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1017	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1018	#127	—	79	4	no	—
1019	#127	—	79	1	no	—
1020	#127	C₂²×D₇₉	1	4	yes	—
1021	#127	C₂²×D₇₉	1	1	yes	characteristic, complemented
1022	#126	—	79	4	no	—
1023	#126	—	79	4	no	—
1024	#126	—	79	8	no	—
1025	#126	—	79	4	no	—
1026	#126	—	79	8	no	—
1027	#126	—	79	4	no	—
1028	#126	—	79	4	no	—
1029	#126	—	79	4	no	—
1030	#126	—	79	8	no	—
1031	#126	—	79	8	no	—
1032	#126	—	79	8	no	—
1033	#126	—	79	4	no	—
1034	#126	—	79	8	no	—
1035	#126	—	79	4	no	—
1036	#126	—	79	8	no	—
1037	#126	C₂²×D₇₉	1	8	yes	complemented
1038	#125	—	79	4	no	—
1039	#125	—	79	4	no	—
1040	#125	—	79	8	no	—
1041	#125	—	79	4	no	—
1042	#125	—	79	4	no	—
1043	#125	—	79	4	no	—
1044	#125	—	79	4	no	—
1045	#125	—	79	2	no	—
1046	#125	C₂²×D₇₉	1	2	yes	complemented
1047	#124	—	79	4	no	—
1048	#124	—	79	4	no	—
1049	#124	—	79	8	no	—
1050	#124	—	79	4	no	—
1051	#124	—	79	4	no	—
1052	#124	—	79	8	no	—
1053	#124	—	79	8	no	—
1054	#124	—	79	8	no	—
1055	#124	—	79	8	no	—
1056	#124	—	79	4	no	—
1057	#124	—	79	8	no	—
1058	#124	—	79	2	no	—
1059	#124	C₂²×D₇₉	1	4	yes	—
1060	#124	C₂²×D₇₉	1	8	yes	complemented
1061	#124	C₂²×D₇₉	1	2	yes	complemented
1062	#123	—	79	8	no	—
1063	#123	—	79	4	no	—
1064	#123	—	79	4	no	—
1065	#123	—	79	8	no	—
1066	#123	—	79	4	no	—
1067	#123	—	79	8	no	—
1068	#123	—	79	8	no	—
1069	#123	—	79	4	no	—
1070	#123	—	79	8	no	—
1071	#123	—	79	4	no	—
1072	#123	—	79	8	no	—
1073	#123	—	79	4	no	—
1074	#123	—	79	4	no	—
1075	#123	—	79	4	no	—
1076	#123	—	79	8	no	—
1077	#123	—	79	8	no	—
1078	#123	—	79	4	no	—
1079	#123	—	79	8	no	—
1080	#123	—	79	8	no	—
1081	#123	—	79	8	no	—
1082	#123	—	79	8	no	—
1083	#123	—	79	4	no	—
1084	#123	C₂²×D₇₉	1	8	yes	complemented
1085	#123	C₂²×D₇₉	1	8	yes	complemented
1086	C₂²⋊Q₈	—	79	4	no	—
1087	C₂²⋊Q₈	—	79	4	no	—
1088	C₂²⋊Q₈	—	79	8	no	—
1089	C₂²⋊Q₈	—	79	2	no	—
1090	C₂²⋊Q₈	—	79	2	no	—
1091	C₂²⋊Q₈	—	79	4	no	—
1092	C₂²⋊Q₈	—	79	4	no	—
1093	C₂²⋊Q₈	—	79	2	no	—
1094	C₂²⋊Q₈	—	79	2	no	—
1095	C₂²⋊Q₈	—	79	4	no	—
1096	C₂²⋊Q₈	—	79	4	no	—
1097	C₂²⋊Q₈	—	79	8	no	—
1098	C₂²⋊Q₈	—	79	4	no	—
1099	C₂²⋊Q₈	—	79	8	no	—
1100	C₂²⋊Q₈	—	79	2	no	—
1101	C₂²⋊Q₈	—	79	2	no	—
1102	C₂²⋊Q₈	—	79	8	no	—
1103	C₂²⋊Q₈	—	79	8	no	—
1104	C₂²⋊Q₈	—	79	8	no	—
1105	C₂²⋊Q₈	—	79	4	no	—
1106	C₂²⋊Q₈	—	79	8	no	—
1107	C₂²⋊Q₈	—	79	4	no	—
1108	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1109	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1110	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
1111	#121	—	79	4	no	—
1112	#121	—	79	8	no	—
1113	#121	—	79	8	no	—
1114	#121	—	79	8	no	—
1115	#121	—	79	4	no	—
1116	#121	—	79	8	no	—
1117	#121	—	79	8	no	—
1118	#121	—	79	2	no	—
1119	#121	—	79	2	no	—
1120	#121	—	79	8	no	—
1121	#121	—	79	4	no	—
1122	#121	—	79	4	no	—
1123	#121	—	79	4	no	—
1124	#121	—	79	4	no	—
1125	#121	—	79	2	no	—
1126	#121	—	79	8	no	—
1127	#121	—	79	2	no	—
1128	#121	—	79	4	no	—
1129	#121	—	79	4	no	—
1130	#121	—	79	4	no	—
1131	#121	—	79	4	no	—
1132	#121	—	79	2	no	—
1133	#121	—	79	2	no	—
1134	#121	—	79	4	no	—
1135	#121	—	79	8	no	—
1136	#121	—	79	8	no	—
1137	#121	—	79	8	no	—
1138	#121	—	79	8	no	—
1139	#121	—	79	8	no	—
1140	#121	C₂²×D₇₉	1	2	yes	—
1141	#121	C₂²×D₇₉	1	2	yes	—
1142	#121	C₂²×D₇₉	1	4	yes	—
1143	#121	C₂²×D₇₉	1	4	yes	—
1144	#121	C₂²×D₇₉	1	8	yes	complemented
1145	#121	C₂²×D₇₉	1	4	yes	complemented
1146	#120	—	79	8	no	—
1147	#120	—	79	4	no	—
1148	#120	—	79	8	no	—
1149	#120	—	79	8	no	—
1150	#120	—	79	8	no	—
1151	#120	—	79	8	no	—
1152	#120	—	79	8	no	—
1153	#120	—	79	4	no	—
1154	#120	—	79	8	no	—
1155	#120	—	79	8	no	—
1156	#120	—	79	8	no	—
1157	#120	C₂²×D₇₉	1	8	yes	—
1158	C₄×Q₈	—	79	2	no	—
1159	C₄×Q₈	—	79	2	no	—
1160	C₄×Q₈	—	79	2	no	—
1161	C₄×Q₈	—	79	2	no	—
1162	C₄×Q₈	—	79	4	no	—
1163	C₄×Q₈	—	79	8	no	—
1164	C₄×Q₈	—	79	2	no	—
1165	C₄×Q₈	—	79	2	no	—
1166	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
1167	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1168	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1169	C₄×D₄	—	79	4	no	—
1170	C₄×D₄	—	79	2	no	—
1171	C₄×D₄	—	79	4	no	—
1172	C₄×D₄	—	79	4	no	—
1173	C₄×D₄	—	79	4	no	—
1174	C₄×D₄	—	79	2	no	—
1175	C₄×D₄	—	79	8	no	—
1176	C₄×D₄	—	79	8	no	—
1177	C₄×D₄	—	79	8	no	—
1178	C₄×D₄	—	79	8	no	—
1179	C₄×D₄	—	79	8	no	—
1180	C₄×D₄	—	79	8	no	—
1181	C₄×D₄	—	79	8	no	—
1182	C₄×D₄	—	79	8	no	—
1183	C₄×D₄	—	79	4	no	—
1184	C₄×D₄	—	79	4	no	—
1185	C₄×D₄	—	79	4	no	—
1186	C₄×D₄	—	79	4	no	—
1187	C₄×D₄	—	79	8	no	—
1188	C₄×D₄	—	79	2	no	—
1189	C₄×D₄	—	79	4	no	—
1190	C₄×D₄	—	79	8	no	—
1191	C₄×D₄	—	79	4	no	—
1192	C₄×D₄	—	79	2	no	—
1193	C₄×D₄	—	79	4	no	—
1194	C₄×D₄	—	79	4	no	—
1195	C₄×D₄	—	79	8	no	—
1196	C₄×D₄	—	79	8	no	—
1197	C₄×D₄	—	79	8	no	—
1198	C₄×D₄	—	79	4	no	—
1199	C₄×D₄	—	79	8	no	—
1200	C₄×D₄	—	79	8	no	—
1201	C₄×D₄	—	79	2	no	—
1202	C₄×D₄	—	79	2	no	—
1203	C₄×D₄	—	79	2	no	—
1204	C₄×D₄	—	79	2	no	—
1205	C₄×D₄	—	79	8	no	—
1206	C₄×D₄	—	79	4	no	—
1207	C₄×D₄	—	79	4	no	—
1208	C₄×D₄	—	79	8	no	—
1209	C₄×D₄	—	79	4	no	—
1210	C₄×D₄	—	79	4	no	—
1211	C₄×D₄	—	79	2	no	—
1212	C₄×D₄	—	79	2	no	—
1213	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1214	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1215	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1216	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1217	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1218	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
1219	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1220	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1221	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1222	#117	—	79	2	no	—
1223	#117	—	79	4	no	—
1224	#117	—	79	4	no	—
1225	#117	—	79	8	no	—
1226	#117	—	79	4	no	—
1227	#117	—	79	4	no	—
1228	#117	—	79	8	no	—
1229	#117	—	79	4	no	—
1230	#117	—	79	8	no	—
1231	#117	—	79	2	no	—
1232	#117	—	79	2	no	—
1233	#117	—	79	2	no	—
1234	#117	—	79	2	no	—
1235	#117	—	79	4	no	—
1236	#117	—	79	8	no	—
1237	#117	—	79	8	no	—
1238	#117	C₂²×D₇₉	1	2	yes	—
1239	#117	C₂²×D₇₉	1	4	yes	complemented
1240	#117	C₂²×D₇₉	1	4	yes	complemented
1241	C₂×C₄⋊C₄	—	79	1	no	—
1242	C₂×C₄⋊C₄	—	79	1	no	—
1243	C₂×C₄⋊C₄	—	79	1	no	—
1244	C₂×C₄⋊C₄	—	79	8	no	—
1245	C₂×C₄⋊C₄	—	79	4	no	—
1246	C₂×C₄⋊C₄	—	79	8	no	—
1247	C₂×C₄⋊C₄	—	79	4	no	—
1248	C₂×C₄⋊C₄	—	79	4	no	—
1249	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1251	C₂×C₂²⋊C₄	—	79	2	no	—
1252	C₂×C₂²⋊C₄	—	79	1	no	—
1253	C₂×C₂²⋊C₄	—	79	1	no	—
1254	C₂×C₂²⋊C₄	—	79	2	no	—
1255	C₂×C₂²⋊C₄	—	79	2	no	—
1256	C₂×C₂²⋊C₄	—	79	2	no	—
1257	C₂×C₂²⋊C₄	—	79	8	no	—
1258	C₂×C₂²⋊C₄	—	79	8	no	—
1259	C₂×C₂²⋊C₄	—	79	8	no	—
1260	C₂×C₂²⋊C₄	—	79	8	no	—
1261	C₂×C₂²⋊C₄	—	79	8	no	—
1262	C₂×C₂²⋊C₄	—	79	8	no	—
1263	C₂×C₂²⋊C₄	—	79	8	no	—
1264	C₂×C₂²⋊C₄	—	79	8	no	—
1265	C₂×C₂²⋊C₄	—	79	8	no	—
1266	C₂×C₂²⋊C₄	—	79	8	no	—
1267	C₂×C₂²⋊C₄	—	79	8	no	—
1268	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1269	C₂×C₄²	—	79	1	no	—
1270	C₂×C₄²	—	79	2	no	—
1271	C₂×C₄²	—	79	4	no	—
1272	C₂×C₄²	—	79	8	no	—
1273	C₂×C₄²	—	79	4	no	—
1274	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1275	C₂⁴	—	79	2	no	—
1276	C₂⁴	—	79	8	no	—
1277	C₂⁴	—	79	1	no	—
1278	C₂⁴	—	79	8	no	—
1279	C₂⁴	—	632	2	no	—
1280	C₂⁴	—	632	2	no	—
1281	C₂⁴	—	158	8	no	—
1282	C₂⁴	C₂³×D₇₉	1	2	yes	—
1283	#41	—	2	8	no	—
1284	#41	—	8	4	no	—
1285	#41	—	632	4	no	—
1286	#41	—	632	8	no	—
1287	#41	—	158	16	no	—
1288	#41	—	158	16	no	—
1289	#41	—	158	8	no	—
1290	C₂×Q₈	—	79	2	no	—
1291	C₂×Q₈	—	79	2	no	—
1292	C₂×Q₈	—	79	8	no	—
1293	C₂×Q₈	—	79	2	no	—
1294	C₂×Q₈	—	632	4	no	—
1295	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1296	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1297	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1298	C₂×D₄	—	2	4	no	—
1299	C₂×D₄	—	79	4	no	—
1300	C₂×D₄	—	79	8	no	—
1301	C₂×D₄	—	79	4	no	—
1302	C₂×D₄	—	79	8	no	—
1303	C₂×D₄	—	79	8	no	—
1304	C₂×D₄	—	79	8	no	—
1305	C₂×D₄	—	79	4	no	—
1306	C₂×D₄	—	79	8	no	—
1307	C₂×D₄	—	79	8	no	—
1308	C₂×D₄	—	79	2	no	—
1309	C₂×D₄	—	79	4	no	—
1310	C₂×D₄	—	79	4	no	—
1311	C₂×D₄	—	79	2	no	—
1312	C₂×D₄	—	79	2	no	—
1313	C₂×D₄	—	79	2	no	—
1314	C₂×D₄	—	79	8	no	—
1315	C₂×D₄	—	79	2	no	—
1316	C₂×D₄	—	632	4	no	—
1317	C₂×D₄	—	632	8	no	—
1318	C₂×D₄	—	632	8	no	—
1319	C₂×D₄	—	158	16	no	—
1320	C₂×D₄	—	158	16	no	—
1321	C₂×D₄	—	158	16	no	—
1322	C₂×D₄	—	158	16	no	—
1323	C₂×D₄	—	158	32	no	—
1324	C₂×D₄	—	158	8	no	—
1325	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1326	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1327	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1328	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1329	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1330	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1331	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1332	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1333	C₂²×C₄	—	8	2	no	—
1334	C₂²×C₄	—	79	1	no	—
1335	C₂²×C₄	—	79	1	no	—
1336	C₂²×C₄	—	79	2	no	—
1337	C₂²×C₄	—	79	4	no	—
1338	C₂²×C₄	—	79	4	no	—
1339	C₂²×C₄	—	79	8	no	—
1340	C₂²×C₄	—	79	8	no	—
1341	C₂²×C₄	—	79	8	no	—
1342	C₂²×C₄	—	79	4	no	—
1343	C₂²×C₄	—	79	4	no	—
1344	C₂²×C₄	—	79	4	no	—
1345	C₂²×C₄	—	79	4	no	—
1346	C₂²×C₄	—	79	8	no	—
1347	C₂²×C₄	—	79	8	no	—
1348	C₂²×C₄	—	79	1	no	—
1349	C₂²×C₄	—	79	8	no	—
1350	C₂²×C₄	—	79	4	no	—
1351	C₂²×C₄	—	79	2	no	—
1352	C₂²×C₄	—	79	2	no	—
1353	C₂²×C₄	—	632	2	no	—
1354	C₂²×C₄	—	632	2	no	—
1355	C₂²×C₄	—	632	8	no	—
1356	C₂²×C₄	—	632	2	no	—
1357	C₂²×C₄	—	158	4	no	—
1358	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1359	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1360	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1361	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1362	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1363	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1364	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1365	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1366	C₄⋊C₄	—	79	4	no	—
1367	C₄⋊C₄	—	79	8	no	—
1368	C₄⋊C₄	—	79	4	no	—
1369	C₄⋊C₄	—	79	2	no	—
1370	C₄⋊C₄	—	79	2	no	—
1371	C₄⋊C₄	—	79	2	no	—
1372	C₄⋊C₄	—	79	2	no	—
1373	C₄⋊C₄	—	79	8	no	—
1374	C₄⋊C₄	—	79	8	no	—
1375	C₄⋊C₄	—	79	8	no	—
1376	C₄⋊C₄	—	79	4	no	—
1377	C₄⋊C₄	—	79	4	no	—
1378	C₄⋊C₄	—	79	4	no	—
1379	C₄⋊C₄	—	79	4	no	—
1380	C₄⋊C₄	—	79	2	no	—
1381	C₄⋊C₄	—	79	4	no	—
1382	C₄⋊C₄	—	79	2	no	—
1383	C₄⋊C₄	—	79	2	no	—
1384	C₄⋊C₄	—	79	2	no	—
1385	C₄⋊C₄	—	79	2	no	—
1386	C₄⋊C₄	—	79	8	no	—
1387	C₄⋊C₄	—	79	2	no	—
1388	C₄⋊C₄	—	79	4	no	—
1389	C₄⋊C₄	—	79	4	no	—
1390	C₄⋊C₄	—	79	2	no	—
1391	C₄⋊C₄	—	79	2	no	—
1392	C₄⋊C₄	—	79	4	no	—
1393	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1394	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1395	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1396	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1397	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1398	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1399	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1400	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1401	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1402	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1403	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1404	C₂²⋊C₄	—	79	8	no	—
1405	C₂²⋊C₄	—	79	4	no	—
1406	C₂²⋊C₄	—	79	4	no	—
1407	C₂²⋊C₄	—	79	4	no	—
1408	C₂²⋊C₄	—	79	8	no	—
1409	C₂²⋊C₄	—	79	8	no	—
1410	C₂²⋊C₄	—	79	8	no	—
1411	C₂²⋊C₄	—	79	4	no	—
1412	C₂²⋊C₄	—	79	4	no	—
1413	C₂²⋊C₄	—	79	8	no	—
1414	C₂²⋊C₄	—	79	2	no	—
1415	C₂²⋊C₄	—	79	2	no	—
1416	C₂²⋊C₄	—	79	2	no	—
1417	C₂²⋊C₄	—	79	8	no	—
1418	C₂²⋊C₄	—	79	2	no	—
1419	C₂²⋊C₄	—	79	4	no	—
1420	C₂²⋊C₄	—	79	4	no	—
1421	C₂²⋊C₄	—	79	8	no	—
1422	C₂²⋊C₄	—	79	8	no	—
1423	C₂²⋊C₄	—	79	4	no	—
1424	C₂²⋊C₄	—	79	4	no	—
1425	C₂²⋊C₄	—	79	8	no	—
1426	C₂²⋊C₄	—	79	4	no	—
1427	C₂²⋊C₄	—	79	4	no	—
1428	C₂²⋊C₄	—	79	4	no	—
1429	C₂²⋊C₄	—	79	4	no	—
1430	C₂²⋊C₄	—	79	4	no	—
1431	C₂²⋊C₄	—	79	8	no	—
1432	C₂²⋊C₄	—	79	4	no	—
1433	C₂²⋊C₄	—	79	4	no	—
1434	C₂²⋊C₄	—	79	4	no	—
1435	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1436	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1437	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1438	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1439	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1440	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1441	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1442	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1443	C₄²	—	79	2	no	—
1444	C₄²	—	79	2	no	—
1445	C₄²	—	79	4	no	—
1446	C₄²	—	79	4	no	—
1447	C₄²	—	79	4	no	—
1448	C₄²	—	79	4	no	—
1449	C₄²	—	79	8	no	—
1450	C₄²	—	79	8	no	—
1451	C₄²	—	79	4	no	—
1452	C₄²	C₂³×D₇₉	1	8	yes	—
1453	C₄²	C₂³×D₇₉	1	4	yes	—
1454	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1455	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1456	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1457	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1458	C₂³	—	2	4	no	—
1459	C₂³	—	4	2	no	—
1460	C₂³	—	4	2	no	—
1461	C₂³	—	316	2	no	—
1462	C₂³	—	316	2	no	—
1463	C₂³	—	316	1	no	—
1464	C₂³	—	316	1	no	—
1465	C₂³	—	316	8	no	—
1466	C₂³	—	316	8	no	—
1467	C₂³	—	316	8	no	—
1468	C₂³	—	316	8	no	—
1469	C₂³	—	79	8	no	—
1470	C₂³	—	79	4	no	—
1471	C₂³	—	79	2	no	—
1472	C₂³	—	79	4	no	—
1473	C₂³	—	632	16	no	—
1474	C₂³	—	158	16	no	—
1475	C₂³	—	158	16	no	—
1476	C₂³	—	158	2	no	—
1477	C₂³	C₂⁴×D₇₉	1	4	yes	—
1478	C₂³	C₂⁴×D₇₉	1	4	yes	—
1479	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1480	Q₈	—	2	4	no	—
1481	Q₈	—	4	2	no	—
1482	Q₈	—	4	2	no	—
1483	Q₈	—	316	2	no	—
1484	Q₈	—	316	8	no	—
1485	Q₈	—	316	2	no	—
1486	Q₈	—	158	4	no	—
1487	D₄	—	2	8	no	—
1488	D₄	—	2	4	no	—
1489	D₄	—	2	4	no	—
1490	D₄	—	2	4	no	—
1491	D₄	—	4	2	no	—
1492	D₄	—	4	8	no	—
1493	D₄	—	4	8	no	—
1494	D₄	—	4	2	no	—
1495	D₄	—	316	4	no	—
1496	D₄	—	316	2	no	—
1497	D₄	—	316	4	no	—
1498	D₄	—	316	2	no	—
1499	D₄	—	316	4	no	—
1500	D₄	—	316	4	no	—
1501	D₄	—	316	8	no	—
1502	D₄	—	316	8	no	—
1503	D₄	—	316	8	no	—
1504	D₄	—	79	8	no	—
1505	D₄	—	79	8	no	—
1506	D₄	—	158	16	no	—
1507	D₄	—	158	16	no	—
1508	D₄	—	158	16	no	—
1509	D₄	—	158	8	no	—
1510	D₄	—	158	4	no	—
1511	C₂×C₄	—	2	8	no	—
1512	C₂×C₄	—	4	1	no	—
1513	C₂×C₄	—	4	2	no	—
1514	C₂×C₄	—	4	4	no	—
1515	C₂×C₄	—	4	4	no	—
1516	C₂×C₄	—	4	1	no	—
1517	C₂×C₄	—	4	8	no	—
1518	C₂×C₄	—	316	8	no	—
1519	C₂×C₄	—	316	4	no	—
1520	C₂×C₄	—	316	8	no	—
1521	C₂×C₄	—	316	4	no	—
1522	C₂×C₄	—	316	4	no	—
1523	C₂×C₄	—	316	8	no	—
1524	C₂×C₄	—	316	8	no	—
1525	C₂×C₄	—	316	4	no	—
1526	C₂×C₄	—	316	1	no	—
1527	C₂×C₄	—	316	4	no	—
1528	C₂×C₄	—	316	1	no	—
1529	C₂×C₄	—	316	2	no	—
1530	C₂×C₄	—	316	8	no	—
1531	C₂×C₄	—	316	4	no	—
1532	C₂×C₄	—	79	2	no	—
1533	C₂×C₄	—	79	2	no	—
1534	C₂×C₄	—	79	4	no	—
1535	C₂×C₄	—	79	4	no	—
1536	C₂×C₄	—	79	2	no	—
1537	C₂×C₄	—	79	4	no	—
1538	C₂×C₄	—	79	4	no	—
1539	C₂×C₄	—	158	16	no	—
1540	C₂×C₄	—	158	2	no	—
1541	C₂×C₄	—	158	4	no	—
1542	C₂×C₄	—	158	4	no	—
1543	C₂×C₄	—	158	8	no	—
1544	C₂×C₄	#41×D₇₉	1	4	yes	—
1545	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1546	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1547	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1548	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1549	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1550	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1551	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1552	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1553	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1554	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	4	no	—
1558	C₂²	—	2	4	no	—
1559	C₂²	—	2	4	no	—
1560	C₂²	—	2	4	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	4	no	—
1563	C₂²	—	4	8	no	—
1564	C₂²	—	316	4	no	—
1565	C₂²	—	316	8	no	—
1566	C₂²	—	79	8	no	—
1567	C₂²	—	632	16	no	—
1568	C₂²	—	632	16	no	—
1569	C₂²	—	158	2	no	—
1570	C₂²	—	158	4	no	—
1571	C₂²	—	158	4	no	—
1572	C₂²	—	158	2	no	—
1573	C₂²	—	158	4	no	—
1574	C₂²	—	158	2	no	—
1575	C₂²	—	158	4	no	—
1576	C₂²	—	158	4	no	—
1577	C₂²	C₂×#41×D₇₉	1	2	yes	—
1578	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1579	C₄	—	2	4	no	—
1580	C₄	—	2	4	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	4	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	4	no	—
1587	C₄	—	158	2	no	—
1588	C₄	—	158	4	no	—
1589	C₄	—	158	2	no	—
1590	C₄	—	158	4	no	—
1591	C₄	—	158	2	no	—
1592	C₄	—	158	4	no	—
1593	C₄	—	158	4	no	—
1594	C₄	C₂×#41×D₇₉	1	2	yes	—
1595	C₄	C₂×#41×D₇₉	1	2	yes	—
1596	C₂	—	2	2	no	—
1597	C₂	—	4	4	no	—
1598	C₂	—	4	4	no	—
1599	C₂	—	316	2	no	—
1600	C₂	—	316	4	no	—
1601	C₂	—	158	8	no	—
1602	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1603	C₂	#23778210	1	1	yes	characteristic
1604	C₂	#23778211	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3506	C₂
hypercenter	#3506	D₇₉
hypocenter	C₇₉	#62846
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. #23777467	C₂	semidirect
2. #23777463	C₂	semidirect
3. #23777431	C₂	semidirect
4. #23777428	C₂	semidirect
5. #23777360	C₂	semidirect
6. #23777357	C₂	semidirect
7. #23777339	C₂	semidirect
8. #23777335	C₂	semidirect
9. #23777252	C₂	semidirect
10. #23777238	C₂	semidirect
11. #23777201	C₂	semidirect
12. #23777162	C₂	semidirect
13. #23777113	C₂	semidirect
14. #23777083	C₂	semidirect
15. #23777034	C₂	semidirect
16. #23776813	C₂	semidirect
17. #23776807	C₂	semidirect
18. #23776792	C₂	semidirect
19. #23776789	C₂	semidirect
20. #538×D₇₉	C₂	semidirect
21. #23776606	C₂	semidirect
22. C₂×#19099035	C₂	semidirect
23. C₇₉×#3506	C₂	semidirect
26. #19099296	C₂²	semidirect
27. #19099286	C₂²	semidirect
28. #19099283	C₂²	semidirect
29. #19099281	C₂²	semidirect
30. #19099278	C₂²	semidirect
31. #19099278	C₂²	semidirect
32. #19099276	C₂²	semidirect
33. #19099274	C₂²	semidirect
34. #19099273	C₂²	semidirect
35. #19099273	C₂²	semidirect
36. #19099269	C₂²	semidirect
37. #19099264	C₂²	semidirect
38. #19099263	C₂²	semidirect
39. #19099263	C₂²	semidirect
40. #19099261	C₂²	semidirect
41. #19099260	C₂²	semidirect
42. #19099258	C₂²	semidirect
43. #19099254	C₂²	semidirect
44. #19099249	C₂²	semidirect
45. #19099248	C₂²	semidirect
46. #19099243	C₂²	semidirect
47. #19099242	C₂²	semidirect
48. #19099240	C₂²	semidirect
49. #19099237	C₂²	semidirect
50. #19099236	C₂²	semidirect
51. #19099236	C₂²	semidirect
52. #19099234	C₂²	semidirect
53. Q₈×D₃₁₆	C₂²	semidirect
54. #19099228	C₂²	semidirect
55. #19099221	C₂²	semidirect
56. #19099218	C₂²	semidirect
57. #19099218	C₂²	semidirect
58. #19099216	C₂²	semidirect
59. #19099210	C₂²	semidirect
60. #19099210	C₂²	semidirect
61. #19099209	C₂²	semidirect
62. #19099208	C₂²	semidirect
63. #19099206	C₂²	semidirect
64. #19099206	C₂²	semidirect
65. #19099206	C₂²	semidirect
66. #19099205	C₂²	semidirect
67. #19099202	C₂²	semidirect
68. #19099202	C₂²	semidirect
69. #19099201	C₂²	semidirect
70. D₄×D₃₁₆	C₂²	semidirect
71. #19099198	C₂²	semidirect
72. #19099198	C₂²	semidirect
73. #19099198	C₂²	semidirect
74. #19099197	C₂²	semidirect
75. #19099197	C₂²	semidirect
76. #19099191	C₂²	semidirect
77. #19099188	C₂²	semidirect
78. #19099187	C₂²	semidirect
79. #19099187	C₂²	semidirect
80. #19099182	C₂²	semidirect
81. #19099182	C₂²	semidirect
82. #19099182	C₂²	semidirect
83. #19099180	C₂²	semidirect
84. #19099176	C₂²	semidirect
85. #19099174	C₂²	semidirect
86. #19099169	C₂²	semidirect
87. #19099167	C₂²	semidirect
88. #19099167	C₂²	semidirect
89. #19099166	C₂²	semidirect
90. #19099162	C₂²	semidirect
91. #19099162	C₂²	semidirect
92. #19099159	C₂²	semidirect
93. #19099158	C₂²	semidirect
94. #19099158	C₂²	semidirect
95. #19099156	C₂²	semidirect
96. #19099153	C₂²	semidirect
97. #19099153	C₂²	semidirect
98. #19099152	C₂²	semidirect
99. #19099151	C₂²	semidirect
100. #19099150	C₂²	semidirect
101. #19099150	C₂²	semidirect
102. #19099149	C₂²	semidirect
103. #19099149	C₂²	semidirect
104. #19099148	C₂²	semidirect
105. #19099147	C₂²	semidirect
106. #19099146	C₂²	semidirect
107. #19099145	C₂²	semidirect
108. #19099145	C₂²	semidirect
109. #19099141	C₂²	semidirect
110. #19099130	C₂²	semidirect
111. #19099123	C₂²	semidirect
112. #19099121	C₂²	semidirect
113. #19099120	C₂²	semidirect
114. #19099113	C₂²	semidirect
115. #19099111	C₂²	semidirect
116. #19099108	C₂²	semidirect
117. #19099100	C₂²	semidirect
118. #19099100	C₂²	semidirect
119. #19099095	C₂²	semidirect
120. #19099094	C₂²	semidirect
121. #19099093	C₂²	semidirect
122. #19099093	C₂²	semidirect
123. #19099093	C₂²	semidirect
124. #19099092	C₂²	semidirect
125. #19099091	C₂²	semidirect
126. #126×D₇₉	C₂²	semidirect
127. #124×D₇₉	C₂²	semidirect
128. #19099075	C₂²	semidirect
129. #19099074	C₂²	semidirect
130. #19099072	C₂²	semidirect
131. #19099070	C₂²	semidirect
132. #19099070	C₂²	semidirect
133. #19099069	C₂²	semidirect
134. #123×D₇₉	C₂²	semidirect
135. C₂²⋊Q₈×D₇₉	C₂²	semidirect
136. #121×D₇₉	C₂²	semidirect
137. #121×D₇₉	C₂²	semidirect
138. #120×D₇₉	C₂²	semidirect
139. #19099045	C₂²	semidirect
140. #19099044	C₂²	semidirect
141. #19099044	C₂²	semidirect
143. #19099037	C₂²	semidirect
144. #19099035	C₂²	semidirect
145. #19099035	C₂²	semidirect
146. #19099035	C₂²	semidirect
147. #19099035	C₂²	semidirect
148. #19099035	C₂²	semidirect
149. #19099035	C₂²	semidirect
150. #41×Dic₇₉	C₂²	semidirect
151. C₄×#11929625	C₂²	semidirect
152. #19099031	C₂²	semidirect
153. #19099031	C₂²	semidirect
155. C₂×D₄×Dic₇₉	C₂²	semidirect
157. C₂×#14579123	C₂²	semidirect
158. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
159. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
160. C₄×D₄×D₇₉	C₂²	semidirect
161. C₄×D₄×D₇₉	C₂²	semidirect
162. C₂×#14579119	C₂²	semidirect
163. C₂×#14579118	C₂²	semidirect
164. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
165. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
166. #559×C₇₉	C₂²	semidirect
167. #556×C₇₉	C₂²	semidirect
168. #555×C₇₉	C₂²	semidirect
169. #553×C₇₉	C₂²	semidirect
170. #550×C₇₉	C₂²	semidirect
171. #547×C₇₉	C₂²	semidirect
172. #538×C₇₉	C₂²	semidirect
173. #535×C₇₉	C₂²	semidirect
174. #533×C₇₉	C₂²	semidirect
175. #532×C₇₉	C₂²	semidirect
176. #525×C₇₉	C₂²	semidirect
177. #520×C₇₉	C₂²	semidirect
178. C₂×C₄×D₄×C₇₉	C₂²	semidirect
184. C₂×#11929624	C₂³	semidirect
185. C₂×#11929623	C₂³	semidirect
186. C₂×Q₈×D₇₉	C₂³	semidirect
197. C₂×D₄×D₇₉	C₂³	semidirect
202. C₂²×C₄×D₇₉	C₂³	semidirect
203. #14579161	C₂³	semidirect
204. #14579161	C₂³	semidirect
205. #14579161	C₂³	semidirect
206. #14579161	C₂³	semidirect
207. #14579160	C₂³	semidirect
208. #14579158	C₂³	semidirect
215. #14579156	C₂³	semidirect
216. #14579156	C₂³	semidirect
217. #14579156	C₂³	semidirect
219. #14579154	C₂³	semidirect
220. #14579154	C₂³	semidirect
221. #14579154	C₂³	semidirect
222. #14579154	C₂³	semidirect
223. #14579154	C₂³	semidirect
224. #14579154	C₂³	semidirect
225. #14579153	C₂³	semidirect
226. #14579153	C₂³	semidirect
227. #14579152	C₂³	semidirect
228. #14579152	C₂³	semidirect
229. #14579152	C₂³	semidirect
230. #14579151	C₂³	semidirect
231. #14579151	C₂³	semidirect
232. #14579151	C₂³	semidirect
236. #14579149	C₂³	semidirect
238. #14579148	C₂³	semidirect
242. #14579147	C₂³	semidirect
243. #14579147	C₂³	semidirect
244. #14579147	C₂³	semidirect
248. #14579146	C₂³	semidirect
249. #14579146	C₂³	semidirect
250. #14579146	C₂³	semidirect
254. #14579145	C₂³	semidirect
256. #14579144	C₂³	semidirect
259. #14579143	C₂³	semidirect
260. #14579143	C₂³	semidirect
261. #14579143	C₂³	semidirect
263. #14579142	C₂³	semidirect
264. #14579142	C₂³	semidirect
265. #14579142	C₂³	semidirect
266. #14579142	C₂³	semidirect
269. #14579141	C₂³	semidirect
270. #14579141	C₂³	semidirect
273. #14579140	C₂³	semidirect
274. #14579140	C₂³	semidirect
275. #14579139	C₂³	semidirect
276. #14579139	C₂³	semidirect
277. #14579139	C₂³	semidirect
279. #14579138	C₂³	semidirect
280. #14579138	C₂³	semidirect
281. #14579138	C₂³	semidirect
284. #14579137	C₂³	semidirect
285. #14579137	C₂³	semidirect
286. #14579137	C₂³	semidirect
287. #14579137	C₂³	semidirect
288. #14579137	C₂³	semidirect
293. #14579136	C₂³	semidirect
297. #14579135	C₂³	semidirect
298. #14579135	C₂³	semidirect
302. #14579134	C₂³	semidirect
303. #14579134	C₂³	semidirect
307. #14579133	C₂³	semidirect
308. #14579133	C₂³	semidirect
315. #14579132	C₂³	semidirect
316. #14579132	C₂³	semidirect
317. #14579132	C₂³	semidirect
321. #14579131	C₂³	semidirect
328. #14579129	C₂³	semidirect
329. Q₈×Dic₇₉	C₂³	semidirect
330. Q₈×Dic₇₉	C₂³	semidirect
331. C₄×Dic₁₅₈	C₂³	semidirect
332. C₄×Dic₁₅₈	C₂³	semidirect
333. C₄×Dic₁₅₈	C₂³	semidirect
334. #14579126	C₂³	semidirect
335. #14579126	C₂³	semidirect
336. #14579126	C₂³	semidirect
345. C₄×D₃₁₆	C₂³	semidirect
346. C₄×D₃₁₆	C₂³	semidirect
347. C₄×D₃₁₆	C₂³	semidirect
348. C₄×D₃₁₆	C₂³	semidirect
353. D₄×Dic₇₉	C₂³	semidirect
354. D₄×Dic₇₉	C₂³	semidirect
355. D₄×Dic₇₉	C₂³	semidirect
360. #14579123	C₂³	semidirect
361. #14579123	C₂³	semidirect
362. #14579123	C₂³	semidirect
363. #14579123	C₂³	semidirect
364. #14579123	C₂³	semidirect
370. C₄×C₂²⋊D₇₉	C₂³	semidirect
371. C₄×C₂²⋊D₇₉	C₂³	semidirect
372. C₄×C₂²⋊D₇₉	C₂³	semidirect
373. C₄×C₂²⋊D₇₉	C₂³	semidirect
378. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
379. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
380. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
382. #14579120	C₂³	semidirect
383. #14579120	C₂³	semidirect
384. #14579120	C₂³	semidirect
387. #14579119	C₂³	semidirect
388. #14579119	C₂³	semidirect
393. #14579118	C₂³	semidirect
394. #14579118	C₂³	semidirect
395. #14579118	C₂³	semidirect
396. #14579117	C₂³	semidirect
400. C₄⋊C₄×D₇₉	C₂³	semidirect
401. C₄⋊C₄×D₇₉	C₂³	semidirect
402. C₄⋊C₄×D₇₉	C₂³	semidirect
403. C₄⋊C₄×D₇₉	C₂³	semidirect
404. C₄⋊C₄×D₇₉	C₂³	semidirect
413. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
419. C₂²⋊C₄×D₇₉	C₂³	semidirect
420. C₂²⋊C₄×D₇₉	C₂³	semidirect
421. C₂²⋊C₄×D₇₉	C₂³	semidirect
424. C₂×C₄×Dic₇₉	C₂³	semidirect
425. C₄²×D₇₉	C₂³	semidirect
426. C₄²×D₇₉	C₂³	semidirect
428. C₂×#41×C₇₉	C₂³	semidirect
431. C₄⋊Q₈×C₇₉	C₂³	semidirect
432. C₄⋊Q₈×C₇₉	C₂³	semidirect
433. C₄⋊Q₈×C₇₉	C₂³	semidirect
435. #127×C₇₉	C₂³	semidirect
436. #126×C₇₉	C₂³	semidirect
437. #125×C₇₉	C₂³	semidirect
439. #124×C₇₉	C₂³	semidirect
440. #124×C₇₉	C₂³	semidirect
441. #123×C₇₉	C₂³	semidirect
442. #123×C₇₉	C₂³	semidirect
445. C₂²⋊Q₈×C₇₉	C₂³	semidirect
450. #121×C₇₉	C₂³	semidirect
451. #121×C₇₉	C₂³	semidirect
453. C₄×Q₈×C₇₉	C₂³	semidirect
454. C₄×Q₈×C₇₉	C₂³	semidirect
455. C₄×Q₈×C₇₉	C₂³	semidirect
461. C₄×D₄×C₇₉	C₂³	semidirect
462. C₄×D₄×C₇₉	C₂³	semidirect
463. C₄×D₄×C₇₉	C₂³	semidirect
464. C₄×D₄×C₇₉	C₂³	semidirect
466. #117×C₇₉	C₂³	semidirect
467. #117×C₇₉	C₂³	semidirect
469. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
490. C₂×D₃₁₆	#41	semidirect
812. #3506	D₇₉	semidirect
826. C₇₉	#62846	semidirect
830. #559	C₂×D₇₉	semidirect
834. #556	C₂×D₇₉	semidirect
838. #555	C₂×D₇₉	semidirect
849. #553	C₂×D₇₉	semidirect
860. #550	C₂×D₇₉	semidirect
867. #547	C₂×D₇₉	semidirect
918. #538	C₂×D₇₉	semidirect
921. #535	C₂×D₇₉	semidirect
925. #533	C₂×D₇₉	semidirect
929. #532	C₂×D₇₉	semidirect
947. #525	C₂×D₇₉	semidirect
956. #520	C₂×D₇₉	semidirect
977. C₂×C₄×D₄	C₂×D₇₉	semidirect
990. C₂×#41	C₂²×D₇₉	semidirect
1015. C₄⋊Q₈	C₂²×D₇₉	semidirect
1016. C₄⋊Q₈	C₂²×D₇₉	semidirect
1017. C₄⋊Q₈	C₂²×D₇₉	semidirect
1021. #127	C₂²×D₇₉	semidirect
1037. #126	C₂²×D₇₉	semidirect
1046. #125	C₂²×D₇₉	semidirect
1060. #124	C₂²×D₇₉	semidirect
1061. #124	C₂²×D₇₉	semidirect
1084. #123	C₂²×D₇₉	semidirect
1085. #123	C₂²×D₇₉	semidirect
1110. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1144. #121	C₂²×D₇₉	semidirect
1145. #121	C₂²×D₇₉	semidirect
1166. C₄×Q₈	C₂²×D₇₉	semidirect
1167. C₄×Q₈	C₂²×D₇₉	semidirect
1168. C₄×Q₈	C₂²×D₇₉	semidirect
1218. C₄×D₄	C₂²×D₇₉	semidirect
1219. C₄×D₄	C₂²×D₇₉	semidirect
1220. C₄×D₄	C₂²×D₇₉	semidirect
1221. C₄×D₄	C₂²×D₇₉	semidirect
1239. #117	C₂²×D₇₉	semidirect
1240. #117	C₂²×D₇₉	semidirect
1250. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777467	2
#23777463	2
#23777431	2
#23777428	2
#23777360	2
#23777357	2
#23777339	2
#23777335	2
#23777252	2
#23777238	2
#23777201	2
#23777162	2
#23777113	2
#23777083	2
#23777034	2
#23776813	2
#23776807	2
#23776792	2
#23776789	2
#538×D₇₉	2
#23776606	2
C₂×#19099035	2
C₇₉×#3506	2
#62846	79