Subgroups — #35197403

Order 20224.

7370 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777293	C₂	1	4	yes	maximal, complemented
2	#23777290	C₂	1	4	yes	maximal, complemented
3	#23777273	C₂	1	4	yes	maximal, complemented
4	#23777270	C₂	1	4	yes	maximal, complemented
5	#23777254	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777252	C₂	1	1	yes	maximal, characteristic, complemented
7	#23777251	C₂	1	2	yes	maximal, complemented
8	#23777249	C₂	1	1	yes	maximal, characteristic, complemented
9	#23777245	C₂	1	2	yes	maximal, complemented
10	#23777134	C₂	1	4	yes	maximal, complemented
11	#23777131	C₂	1	4	yes	maximal, complemented
12	#23777128	C₂	1	4	yes	maximal, complemented
13	#23777124	C₂	1	4	yes	maximal, complemented
14	#23777086	C₂	1	4	yes	maximal, complemented
15	#23777083	C₂	1	4	yes	maximal, complemented
16	#23776819	C₂	1	4	yes	maximal, complemented
17	#23776818	C₂	1	4	yes	maximal, complemented
18	#23776803	C₂	1	1	yes	maximal, characteristic, complemented
19	#23776727	C₂	1	1	yes	maximal, characteristic, complemented
20	#535×D₇₉	C₂	1	2	yes	maximal, complemented
21	#23776600	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×#41×D₇₉	C₂²	1	2	yes	—
25	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
26	#19099299	C₂²	1	4	yes	complemented
27	#19099298	C₂²	1	4	yes	complemented
28	#19099298	C₂²	1	4	yes	complemented
29	#19099296	C₂²	1	4	yes	complemented
30	#19099296	C₂²	1	4	yes	complemented
31	#19099295	C₂²	1	4	yes	complemented
32	#19099295	C₂²	1	4	yes	complemented
33	#19099287	C₂²	1	2	yes	complemented
34	#19099286	C₂²	1	2	yes	complemented
35	#19099285	C₂²	1	4	yes	complemented
36	#19099283	C₂²	1	2	yes	complemented
37	#19099282	C₂²	1	4	yes	complemented
38	#19099279	C₂²	1	2	yes	complemented
39	#19099278	C₂²	1	2	yes	complemented
40	#19099278	C₂²	1	2	yes	complemented
41	#19099277	C₂²	1	4	yes	complemented
42	#19099276	C₂²	1	4	yes	complemented
43	#19099266	C₂²	1	4	yes	complemented
44	#19099265	C₂²	1	4	yes	complemented
45	#19099263	C₂²	1	4	yes	complemented
46	#19099261	C₂²	1	4	yes	complemented
47	#19099260	C₂²	1	4	yes	complemented
48	#19099259	C₂²	1	4	yes	complemented
49	#19099257	C₂²	1	4	yes	complemented
50	#19099243	C₂²	1	8	yes	complemented
51	#19099242	C₂²	1	8	yes	complemented
52	#19099241	C₂²	1	8	yes	complemented
53	#19099240	C₂²	1	8	yes	complemented
54	#19099238	C₂²	1	8	yes	complemented
55	#19099238	C₂²	1	8	yes	complemented
56	#19099237	C₂²	1	8	yes	complemented
57	#19099236	C₂²	1	8	yes	complemented
58	#19099235	C₂²	1	2	yes	complemented
59	#19099234	C₂²	1	2	yes	complemented
60	#19099234	C₂²	1	4	yes	complemented
61	#19099233	C₂²	1	4	yes	complemented
62	#19099233	C₂²	1	2	yes	complemented
63	#19099218	C₂²	1	2	yes	complemented
64	#19099217	C₂²	1	2	yes	complemented
65	#19099216	C₂²	1	2	yes	complemented
66	#19099214	C₂²	1	4	yes	complemented
67	#19099213	C₂²	1	4	yes	complemented
68	#19099210	C₂²	1	8	yes	complemented
69	#19099208	C₂²	1	8	yes	complemented
70	#19099206	C₂²	1	8	yes	complemented
71	#19099205	C₂²	1	8	yes	complemented
72	#19099205	C₂²	1	8	yes	complemented
73	#19099202	C₂²	1	8	yes	complemented
74	#19099202	C₂²	1	8	yes	complemented
75	#19099201	C₂²	1	8	yes	complemented
76	#19099193	C₂²	1	2	yes	complemented
77	#19099193	C₂²	1	2	yes	complemented
78	#19099192	C₂²	1	2	yes	complemented
79	#19099192	C₂²	1	2	yes	complemented
80	#19099190	C₂²	1	2	yes	complemented
81	#19099190	C₂²	1	2	yes	complemented
82	#19099188	C₂²	1	2	yes	—
83	#19099188	C₂²	1	2	yes	—
84	#19099183	C₂²	1	8	yes	complemented
85	#19099181	C₂²	1	8	yes	complemented
86	#19099179	C₂²	1	8	yes	complemented
87	#19099177	C₂²	1	8	yes	complemented
88	#19099165	C₂²	1	8	yes	complemented
89	#19099165	C₂²	1	8	yes	complemented
90	#19099163	C₂²	1	8	yes	complemented
91	#19099163	C₂²	1	8	yes	complemented
92	#19099153	C₂²	1	4	yes	complemented
93	#19099151	C₂²	1	4	yes	complemented
94	#19099150	C₂²	1	4	yes	complemented
95	#19099148	C₂²	1	8	yes	complemented
96	#19099146	C₂²	1	8	yes	complemented
97	#19099140	C₂²	1	2	yes	complemented
98	#19099140	C₂²	1	2	yes	complemented
99	#19099138	C₂²	1	2	yes	complemented
100	#19099133	C₂²	1	2	yes	complemented
101	#19099132	C₂²	1	2	yes	complemented
102	#19099131	C₂²	1	4	yes	—
103	#19099131	C₂²	1	2	yes	complemented
104	#19099130	C₂²	1	2	yes	complemented
105	#19099129	C₂²	1	4	yes	—
106	#19099129	C₂²	1	4	yes	—
107	#19099128	C₂²	1	8	yes	complemented
108	#19099127	C₂²	1	2	yes	complemented
109	#19099126	C₂²	1	4	yes	—
110	#19099126	C₂²	1	2	yes	complemented
111	#19099121	C₂²	1	2	yes	—
112	#19099121	C₂²	1	2	yes	—
113	#19099120	C₂²	1	1	yes	characteristic, complemented
114	#19099117	C₂²	1	4	yes	complemented
115	#19099117	C₂²	1	4	yes	complemented
116	#19099116	C₂²	1	2	yes	complemented
117	#19099113	C₂²	1	1	yes	characteristic, complemented
118	#19099112	C₂²	1	8	yes	complemented
119	#19099110	C₂²	1	8	yes	complemented
120	#19099109	C₂²	1	2	yes	complemented
121	#19099109	C₂²	1	8	yes	complemented
122	#19099108	C₂²	1	8	yes	complemented
123	#127×D₇₉	C₂²	1	4	yes	complemented
124	#19099096	C₂²	1	8	yes	complemented
125	#19099093	C₂²	1	8	yes	complemented
126	#19099091	C₂²	1	8	yes	complemented
127	#19099090	C₂²	1	8	yes	complemented
128	#124×D₇₉	C₂²	1	4	yes	complemented
129	#19099076	C₂²	1	4	yes	complemented
130	#19099074	C₂²	1	4	yes	complemented
131	#19099073	C₂²	1	4	yes	complemented
132	#19099072	C₂²	1	4	yes	complemented
133	#19099072	C₂²	1	4	yes	complemented
134	#19099072	C₂²	1	8	yes	complemented
135	#19099069	C₂²	1	8	yes	complemented
136	#121×D₇₉	C₂²	1	4	yes	complemented
137	#121×D₇₉	C₂²	1	4	yes	complemented
138	#120×D₇₉	C₂²	1	8	yes	—
139	#19099046	C₂²	1	2	yes	complemented
140	#19099044	C₂²	1	2	yes	complemented
141	#19099044	C₂²	1	4	yes	complemented
142	#19099043	C₂²	1	2	yes	complemented
143	#19099043	C₂²	1	4	yes	complemented
144	#19099039	C₂²	1	4	yes	complemented
145	#19099035	C₂²	1	8	yes	—
146	#19099035	C₂²	1	4	yes	complemented
147	#19099035	C₂²	1	4	yes	complemented
148	#19099035	C₂²	1	4	yes	complemented
149	#19099035	C₂²	1	4	yes	complemented
150	#19099035	C₂²	1	4	yes	complemented
151	C₄×#11929625	C₂²	1	4	yes	complemented
152	C₄×#11929623	C₂²	1	8	yes	complemented
153	C₄×#11929623	C₂²	1	4	yes	complemented
154	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
156	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
158	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
159	C₂×#14579119	C₂²	1	1	yes	characteristic
160	C₂×#14579119	C₂²	1	4	yes	complemented
161	C₂×#14579118	C₂²	1	1	yes	characteristic
162	#117×D₇₉	C₂²	1	2	yes	—
163	#117×D₇₉	C₂²	1	4	yes	complemented
164	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
165	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
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	C₂×#11929625	C₂³	1	2	yes	—
181	C₂×#11929625	C₂³	1	4	yes	complemented
182	C₂×#11929624	C₂³	1	4	yes	—
183	C₂×#11929624	C₂³	1	2	yes	—
184	C₂×#11929624	C₂³	1	4	yes	complemented
185	C₂×#11929624	C₂³	1	8	yes	complemented
186	C₂×#11929623	C₂³	1	4	yes	—
187	C₂×#11929623	C₂³	1	2	yes	—
188	C₂×#11929623	C₂³	1	4	yes	complemented
189	C₂×#11929623	C₂³	1	8	yes	complemented
190	#41×D₇₉	—	2	16	no	—
191	C₂×Q₈×D₇₉	C₂³	1	2	yes	—
192	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
194	C₂×D₄×D₇₉	—	2	8	no	—
195	C₂×D₄×D₇₉	C₂³	1	4	yes	—
196	C₂×D₄×D₇₉	C₂³	1	4	yes	—
197	C₂×D₄×D₇₉	C₂³	1	4	yes	—
198	C₂×D₄×D₇₉	C₂³	1	2	yes	—
199	C₂×D₄×D₇₉	C₂³	1	8	yes	—
200	C₂×D₄×D₇₉	C₂³	1	8	yes	—
201	C₂³×Dic₇₉	C₂³	1	2	yes	—
202	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
203	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
204	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
205	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
206	#14579161	C₂³	1	1	yes	characteristic, complemented
207	#14579161	C₂³	1	1	yes	characteristic, complemented
208	#14579161	C₂³	1	1	yes	characteristic, complemented
209	#14579160	C₂³	1	4	yes	complemented
210	#14579160	C₂³	1	4	yes	complemented
211	#14579160	C₂³	1	2	yes	complemented
212	#14579160	C₂³	1	2	yes	complemented
213	#14579159	C₂³	1	2	yes	complemented
214	#14579159	C₂³	1	4	yes	complemented
215	#14579159	C₂³	1	4	yes	complemented
216	#14579158	C₂³	1	4	yes	—
217	#14579158	C₂³	1	1	yes	characteristic, complemented
218	#14579157	C₂³	1	8	yes	—
219	#14579157	C₂³	1	8	yes	—
220	#14579157	C₂³	1	4	yes	—
221	#14579157	C₂³	1	4	yes	—
222	#14579157	C₂³	1	2	yes	complemented
223	#14579156	C₂³	1	8	yes	complemented
224	#14579156	C₂³	1	8	yes	complemented
225	#14579156	C₂³	1	8	yes	complemented
226	#14579155	C₂³	1	8	yes	complemented
227	#14579154	C₂³	1	8	yes	complemented
228	#14579154	C₂³	1	8	yes	complemented
229	#14579154	C₂³	1	8	yes	complemented
230	#14579153	C₂³	1	2	yes	complemented
231	#14579152	C₂³	1	2	yes	complemented
232	#14579152	C₂³	1	2	yes	complemented
233	#14579151	C₂³	1	4	yes	complemented
234	#14579151	C₂³	1	4	yes	complemented
235	#14579151	C₂³	1	4	yes	complemented
236	#14579151	C₂³	1	4	yes	complemented
237	#14579150	C₂³	1	4	yes	—
238	#14579150	C₂³	1	2	yes	complemented
239	#14579150	C₂³	1	8	yes	complemented
240	#14579149	C₂³	1	4	yes	—
241	#14579149	C₂³	1	2	yes	complemented
242	#14579149	C₂³	1	8	yes	complemented
243	#14579148	C₂³	1	4	yes	—
244	#14579148	C₂³	1	8	yes	complemented
245	#14579148	C₂³	1	2	yes	complemented
246	#14579147	C₂³	1	8	yes	—
247	#14579147	C₂³	1	8	yes	—
248	#14579147	C₂³	1	8	yes	complemented
249	#14579147	C₂³	1	8	yes	complemented
250	#14579147	C₂³	1	8	yes	complemented
251	#14579147	C₂³	1	8	yes	complemented
252	#14579146	C₂³	1	4	yes	—
253	#14579146	C₂³	1	4	yes	—
254	#14579146	C₂³	1	8	yes	complemented
255	#14579146	C₂³	1	8	yes	complemented
256	#14579146	C₂³	1	8	yes	complemented
257	#14579146	C₂³	1	8	yes	complemented
258	#14579145	C₂³	1	8	yes	complemented
259	#14579145	C₂³	1	8	yes	complemented
260	#14579144	C₂³	1	8	yes	complemented
261	#14579144	C₂³	1	8	yes	complemented
262	#14579143	C₂³	1	4	yes	—
263	#14579143	C₂³	1	4	yes	—
264	#14579143	C₂³	1	8	yes	complemented
265	#14579143	C₂³	1	8	yes	complemented
266	#14579143	C₂³	1	8	yes	complemented
267	#14579143	C₂³	1	8	yes	complemented
268	#14579142	C₂³	1	8	yes	complemented
269	#14579142	C₂³	1	8	yes	complemented
270	#14579141	C₂³	1	4	yes	—
271	#14579141	C₂³	1	4	yes	—
272	#14579141	C₂³	1	4	yes	complemented
273	#14579140	C₂³	1	2	yes	—
274	#14579140	C₂³	1	2	yes	—
275	#14579140	C₂³	1	4	yes	complemented
276	#14579139	C₂³	1	4	yes	—
277	#14579139	C₂³	1	4	yes	—
278	#14579139	C₂³	1	4	yes	—
279	#14579139	C₂³	1	4	yes	—
280	#14579139	C₂³	1	4	yes	complemented
281	#14579139	C₂³	1	4	yes	complemented
282	#14579139	C₂³	1	8	yes	complemented
283	#14579138	C₂³	1	4	yes	—
284	#14579138	C₂³	1	4	yes	—
285	#14579138	C₂³	1	4	yes	complemented
286	#14579138	C₂³	1	4	yes	complemented
287	#14579138	C₂³	1	8	yes	complemented
288	#14579137	C₂³	1	4	yes	—
289	#14579137	C₂³	1	4	yes	—
290	#14579137	C₂³	1	4	yes	complemented
291	#14579136	C₂³	1	4	yes	—
292	#14579136	C₂³	1	4	yes	—
293	#14579136	C₂³	1	8	yes	complemented
294	#14579136	C₂³	1	4	yes	complemented
295	#14579135	C₂³	1	2	yes	—
296	#14579135	C₂³	1	2	yes	—
297	#14579135	C₂³	1	4	yes	—
298	#14579135	C₂³	1	4	yes	—
299	#14579135	C₂³	1	8	yes	complemented
300	#14579135	C₂³	1	4	yes	complemented
301	#14579134	C₂³	1	8	yes	—
302	#14579134	C₂³	1	8	yes	—
303	#14579134	C₂³	1	4	yes	complemented
304	#14579134	C₂³	1	4	yes	complemented
305	#14579134	C₂³	1	8	yes	complemented
306	#14579134	C₂³	1	8	yes	complemented
307	#14579134	C₂³	1	8	yes	complemented
308	#14579133	C₂³	1	4	yes	—
309	#14579133	C₂³	1	4	yes	—
310	#14579133	C₂³	1	8	yes	—
311	#14579133	C₂³	1	8	yes	—
312	#14579133	C₂³	1	4	yes	complemented
313	#14579133	C₂³	1	4	yes	complemented
314	#14579133	C₂³	1	8	yes	complemented
315	#14579133	C₂³	1	8	yes	complemented
316	#14579133	C₂³	1	8	yes	complemented
317	#14579132	C₂³	1	4	yes	—
318	#14579132	C₂³	1	4	yes	—
319	#14579132	C₂³	1	8	yes	complemented
320	#14579132	C₂³	1	4	yes	complemented
321	#14579131	C₂³	1	8	yes	—
322	#14579131	C₂³	1	4	yes	—
323	#14579131	C₂³	1	4	yes	—
324	#14579131	C₂³	1	8	yes	—
325	#14579131	C₂³	1	8	yes	—
326	#14579130	C₂³	1	8	yes	—
327	#14579129	C₂³	1	8	yes	—
328	#14579129	C₂³	1	4	yes	—
329	#14579129	C₂³	1	8	yes	—
330	#14579129	C₂³	1	4	yes	—
331	#14579129	C₂³	1	8	yes	—
332	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
333	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
334	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
335	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
336	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
337	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
338	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
339	#14579126	C₂³	1	8	yes	complemented
340	#14579126	C₂³	1	4	yes	complemented
341	C₄×D₃₁₆	C₂³	1	8	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	2	yes	—
346	C₄×D₃₁₆	C₂³	1	8	yes	complemented
347	C₄×D₃₁₆	C₂³	1	2	yes	complemented
348	C₄×D₃₁₆	C₂³	1	2	yes	complemented
349	C₄×D₃₁₆	C₂³	1	4	yes	complemented
350	D₄×Dic₇₉	C₂³	1	8	yes	—
351	D₄×Dic₇₉	C₂³	1	4	yes	—
352	D₄×Dic₇₉	C₂³	1	4	yes	—
353	D₄×Dic₇₉	C₂³	1	8	yes	complemented
354	D₄×Dic₇₉	C₂³	1	4	yes	complemented
355	#14579123	C₂³	1	8	yes	—
356	#14579123	C₂³	1	4	yes	—
357	#14579123	C₂³	1	4	yes	—
358	#14579123	C₂³	1	8	yes	complemented
359	#14579123	C₂³	1	4	yes	complemented
360	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
361	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
362	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
364	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
365	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
366	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
367	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
368	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
369	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
370	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
371	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
372	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
373	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
374	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
375	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
376	#14579120	C₂³	1	2	yes	—
377	#14579120	C₂³	1	4	yes	complemented
378	#14579120	C₂³	1	4	yes	complemented
379	#14579119	C₂³	1	2	yes	—
380	#14579119	C₂³	1	2	yes	—
381	#14579119	C₂³	1	8	yes	—
382	#14579119	C₂³	1	4	yes	—
383	#14579119	C₂³	1	4	yes	—
384	#14579119	C₂³	1	8	yes	complemented
385	#14579119	C₂³	1	4	yes	complemented
386	#14579119	C₂³	1	4	yes	complemented
387	#14579119	C₂³	1	4	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	8	yes	—
393	#14579118	C₂³	1	4	yes	—
394	#14579118	C₂³	1	2	yes	—
395	#14579118	C₂³	1	8	yes	complemented
396	#14579117	C₂³	1	4	yes	—
397	#14579117	C₂³	1	8	yes	complemented
398	#14579117	C₂³	1	8	yes	complemented
399	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	complemented
401	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
403	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
404	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
405	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
406	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
407	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
408	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
409	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
410	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
413	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
414	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
415	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
416	C₂²⋊C₄×D₇₉	C₂³	1	4	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	—
420	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
421	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
422	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
423	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
424	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
425	C₄²×D₇₉	C₂³	1	4	yes	—
426	C₄²×D₇₉	C₂³	1	8	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	8	yes	complemented
462	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
463	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
464	C₄×D₄×C₇₉	C₂³	1	2	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	8	yes	—
476	C₂³×D₇₉	C₂⁴	1	2	yes	—
477	C₂³×D₇₉	C₂⁴	1	4	yes	—
478	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
479	#11929625	—	2	8	no	—
480	#11929625	—	8	4	no	—
481	#11929624	—	2	16	no	—
482	#11929624	—	2	8	no	—
483	#11929624	—	8	4	no	—
484	#11929624	—	8	8	no	—
485	#11929623	—	2	16	no	—
486	#11929623	—	2	8	no	—
487	#11929623	—	8	4	no	—
488	#11929623	—	8	8	no	—
489	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
490	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
491	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
492	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
493	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
494	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
495	Q₈×D₇₉	—	2	8	no	—
496	C₂×D₃₁₆	—	2	4	no	—
497	C₂×D₃₁₆	C₂⁴	1	4	yes	—
498	C₂×D₃₁₆	C₂⁴	1	2	yes	—
499	C₂×D₃₁₆	C₂⁴	1	2	yes	—
500	C₂×D₃₁₆	C₂⁴	1	2	yes	—
501	C₂×D₃₁₆	C₂⁴	1	2	yes	—
502	C₂×D₃₁₆	C₂⁴	1	8	yes	—
503	C₂×D₃₁₆	C₂⁴	1	2	yes	—
504	C₂×D₃₁₆	C₂⁴	1	8	yes	—
505	C₂×C₂²⋊D₇₉	—	2	8	no	—
506	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
508	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
509	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
510	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
511	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
512	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
513	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
514	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
515	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
516	D₄×D₇₉	—	2	8	no	—
517	D₄×D₇₉	—	2	16	no	—
518	D₄×D₇₉	—	2	16	no	—
519	D₄×D₇₉	—	2	16	no	—
520	D₄×D₇₉	—	8	8	no	—
521	D₄×D₇₉	—	8	8	no	—
522	C₂²×Dic₇₉	—	8	2	no	—
523	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
524	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
525	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
526	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
527	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
528	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
529	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
530	C₂×C₄×D₇₉	—	2	16	no	—
531	C₂×C₄×D₇₉	—	8	2	no	—
532	C₂×C₄×D₇₉	—	8	2	no	—
533	C₂×C₄×D₇₉	#41	1	8	yes	complemented
534	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
535	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
536	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
537	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
538	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
539	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
540	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
541	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
542	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
543	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
544	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
545	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
546	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
547	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
548	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
549	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
550	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
551	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
552	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
553	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
554	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
555	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
556	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
557	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
558	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
559	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
560	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
561	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
562	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
563	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
564	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
565	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
566	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
567	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
568	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
569	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
570	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
571	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
572	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
573	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
574	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
575	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
576	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
577	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
578	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
579	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
580	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
581	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
582	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
583	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
584	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
585	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	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	8	yes	—
592	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
593	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
594	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
595	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
596	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
597	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
598	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
599	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
600	C₄×Dic₇₉	C₂⁴	1	4	yes	—
601	C₄×Dic₇₉	C₂⁴	1	4	yes	—
602	C₄×Dic₇₉	C₂⁴	1	4	yes	—
603	C₄×Dic₇₉	C₂⁴	1	8	yes	—
604	C₄×Dic₇₉	C₂⁴	1	8	yes	—
605	C₄×Dic₇₉	C₂⁴	1	2	yes	—
606	C₄×Dic₇₉	C₂⁴	1	2	yes	—
607	C₄×Dic₇₉	C₂⁴	1	8	yes	—
608	C₄×Dic₇₉	C₂⁴	1	8	yes	—
609	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
610	#41×C₇₉	—	2	8	no	—
611	#41×C₇₉	—	8	4	no	—
612	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
613	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
614	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
615	C₂×D₄×C₇₉	—	2	4	no	—
616	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
617	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
618	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
619	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
620	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
621	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
622	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
623	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
624	C₂²×C₄×C₇₉	—	8	2	no	—
625	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
626	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
627	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
628	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
631	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
632	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
633	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
634	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
635	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
636	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
637	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
638	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
639	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
640	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
641	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
642	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
644	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
645	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
646	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
647	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
648	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
649	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
650	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
651	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
652	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
653	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
654	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
655	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
656	C₄²×C₇₉	C₂⁴	1	4	yes	—
657	C₄²×C₇₉	C₂⁴	1	8	yes	—
658	C₂³×C₇₉	—	2	4	no	—
659	C₂³×C₇₉	—	4	2	no	—
660	C₂³×C₇₉	—	4	2	no	—
661	C₂³×C₇₉	C₂⁵	1	4	yes	—
662	C₂³×C₇₉	C₂⁵	1	4	yes	—
663	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
664	C₂²×D₇₉	—	2	4	no	—
665	C₂²×D₇₉	—	2	8	no	—
666	C₂²×D₇₉	—	2	16	no	—
667	C₂²×D₇₉	—	4	2	no	—
668	C₂²×D₇₉	—	4	2	no	—
669	C₂²×D₇₉	—	4	1	no	—
670	C₂²×D₇₉	—	4	1	no	—
671	C₂²×D₇₉	—	4	4	no	—
672	C₂²×D₇₉	—	4	4	no	—
673	C₂²×D₇₉	—	4	8	no	—
674	C₂²×D₇₉	—	4	8	no	—
675	C₂²×D₇₉	—	8	16	no	—
676	C₂²×D₇₉	C₂×#41	1	4	yes	—
677	C₂²×D₇₉	C₂⁵	1	4	yes	—
678	C₂²×D₇₉	C₂⁵	1	4	yes	—
679	C₂²×D₇₉	C₂⁵	1	2	yes	—
680	Q₈×C₇₉	—	2	4	no	—
681	Q₈×C₇₉	—	4	2	no	—
682	Q₈×C₇₉	—	4	2	no	—
683	D₄×C₇₉	—	2	8	no	—
684	D₄×C₇₉	—	2	4	no	—
685	D₄×C₇₉	—	2	4	no	—
686	D₄×C₇₉	—	2	4	no	—
687	D₄×C₇₉	—	4	8	no	—
688	D₄×C₇₉	—	4	8	no	—
689	D₄×C₇₉	—	4	2	no	—
690	D₄×C₇₉	—	4	2	no	—
691	C₂×C₄×C₇₉	—	2	8	no	—
692	C₂×C₄×C₇₉	—	4	1	no	—
693	C₂×C₄×C₇₉	—	4	2	no	—
694	C₂×C₄×C₇₉	—	4	4	no	—
695	C₂×C₄×C₇₉	—	4	8	no	—
696	C₂×C₄×C₇₉	—	4	1	no	—
697	C₂×C₄×C₇₉	—	4	4	no	—
698	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
699	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
700	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
701	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
702	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
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	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
707	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
708	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
709	C₂²⋊D₇₉	—	2	8	no	—
710	C₂²⋊D₇₉	—	2	8	no	—
711	C₂²⋊D₇₉	—	2	16	no	—
712	C₂²⋊D₇₉	—	2	8	no	—
713	C₂²⋊D₇₉	—	4	8	no	—
714	C₂²⋊D₇₉	—	4	8	no	—
715	C₂²⋊D₇₉	—	4	8	no	—
716	C₂²⋊D₇₉	—	4	8	no	—
717	C₂²⋊D₇₉	—	4	4	no	—
718	C₂²⋊D₇₉	—	4	4	no	—
719	C₂×Dic₇₉	—	2	8	no	—
720	C₂×Dic₇₉	—	4	1	no	—
721	C₂×Dic₇₉	—	4	2	no	—
722	C₂×Dic₇₉	—	4	1	no	—
723	C₂×Dic₇₉	—	4	8	no	—
724	C₂×Dic₇₉	—	4	8	no	—
725	C₂×Dic₇₉	C₂×#41	1	4	yes	—
726	C₂×Dic₇₉	C₂⁵	1	4	yes	—
727	C₂×Dic₇₉	C₂⁵	1	4	yes	—
728	C₂×Dic₇₉	C₂⁵	1	4	yes	—
729	C₂×Dic₇₉	C₂⁵	1	4	yes	—
730	C₂×Dic₇₉	C₂⁵	1	2	yes	—
731	C₂×Dic₇₉	C₂⁵	1	2	yes	—
732	C₂×Dic₇₉	C₂⁵	1	2	yes	—
733	D₃₁₆	—	2	8	no	—
734	D₃₁₆	—	2	4	no	—
735	D₃₁₆	—	2	4	no	—
736	D₃₁₆	—	2	4	no	—
737	D₃₁₆	—	4	8	no	—
738	D₃₁₆	—	4	8	no	—
739	D₃₁₆	—	4	2	no	—
740	D₃₁₆	—	4	2	no	—
741	C₄×D₇₉	—	2	8	no	—
742	C₄×D₇₉	—	2	8	no	—
743	C₄×D₇₉	—	2	8	no	—
744	C₄×D₇₉	—	4	4	no	—
745	C₄×D₇₉	—	4	8	no	—
746	C₄×D₇₉	—	4	4	no	—
747	C₄×D₇₉	—	4	4	no	—
748	C₄×D₇₉	—	4	4	no	—
749	C₄×D₇₉	—	4	8	no	—
750	C₄×D₇₉	—	4	8	no	—
751	C₄×D₇₉	C₂×#41	1	8	yes	—
752	C₄×D₇₉	C₂×#41	1	8	yes	—
753	Dic₁₅₈	—	2	4	no	—
754	Dic₁₅₈	—	2	8	no	—
755	Dic₁₅₈	—	4	2	no	—
756	Dic₁₅₈	—	4	4	no	—
757	Dic₁₅₈	—	4	2	no	—
758	Dic₁₅₈	—	4	4	no	—
759	C₂²×C₇₉	—	2	1	no	—
760	C₂²×C₇₉	—	2	1	no	—
761	C₂²×C₇₉	—	2	4	no	—
762	C₂²×C₇₉	—	2	4	no	—
763	C₂²×C₇₉	—	2	4	no	—
764	C₂²×C₇₉	—	2	4	no	—
765	C₂²×C₇₉	—	2	4	no	—
766	C₂²×C₇₉	—	2	4	no	—
767	C₂²×C₇₉	—	4	8	no	—
768	C₂²×C₇₉	C₂²×#41	1	2	yes	—
769	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
770	C₂×D₇₉	—	2	2	no	—
771	C₂×D₇₉	—	2	2	no	—
772	C₂×D₇₉	—	2	4	no	—
773	C₂×D₇₉	—	2	4	no	—
774	C₂×D₇₉	—	2	4	no	—
775	C₂×D₇₉	—	2	4	no	—
776	C₂×D₇₉	—	2	4	no	—
777	C₂×D₇₉	—	2	4	no	—
778	C₂×D₇₉	—	4	4	no	—
779	C₂×D₇₉	—	4	8	no	—
780	C₂×D₇₉	—	8	8	no	—
781	C₂×D₇₉	—	8	16	no	—
782	C₂×D₇₉	C₂²×#41	1	4	yes	—
783	C₄×C₇₉	—	2	4	no	—
784	C₄×C₇₉	—	2	1	no	—
785	C₄×C₇₉	—	2	1	no	—
786	C₄×C₇₉	—	2	4	no	—
787	C₄×C₇₉	—	2	4	no	—
788	C₄×C₇₉	—	2	1	no	—
789	C₄×C₇₉	—	2	1	no	—
790	C₄×C₇₉	—	2	4	no	—
791	C₄×C₇₉	C₂²×#41	1	2	yes	—
792	C₄×C₇₉	C₂²×#41	1	2	yes	—
793	Dic₇₉	—	2	4	no	—
794	Dic₇₉	—	2	4	no	—
795	Dic₇₉	—	2	4	no	—
796	Dic₇₉	—	2	2	no	—
797	Dic₇₉	—	2	2	no	—
798	Dic₇₉	—	2	4	no	—
799	Dic₇₉	C₂²×#41	1	4	yes	—
800	#62855	—	79	1	no	maximal, Sylow
801	C₂×C₇₉	—	2	2	no	—
802	C₂×C₇₉	—	4	4	no	—
803	C₂×C₇₉	—	4	4	no	—
804	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
805	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
806	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
807	D₇₉	—	2	4	no	—
808	D₇₉	—	4	4	no	—
809	D₇₉	—	4	4	no	—
810	#3510	—	79	4	no	—
811	#3510	—	79	4	no	—
812	#3508	—	79	4	no	—
813	#3508	—	79	4	no	—
814	#3506	—	79	2	no	—
815	#3506	—	79	1	no	—
816	#3506	—	79	1	no	—
817	#3506	—	79	2	no	—
818	#3506	—	79	1	no	—
819	#3506	D₇₉	1	1	yes	characteristic, complemented
820	#3494	—	79	4	no	—
821	#3494	—	79	4	no	—
822	#3494	—	79	4	no	—
823	#3494	—	79	4	no	—
824	#3490	—	79	4	no	—
825	#3490	—	79	4	no	—
826	#3460	—	79	4	no	—
827	#3460	—	79	4	no	—
828	#3458	—	79	1	no	—
829	#3449	—	79	1	no	—
830	C₂×#535	—	79	2	no	—
831	#3428	—	79	2	no	—
832	C₂×#518	—	79	1	no	—
833	C₇₉	#62855	1	1	yes	characteristic, complemented, Sylow
834	C₂²×#41	—	79	2	no	—
835	C₂³×D₄	—	79	1	no	—
836	#559	—	79	4	no	—
837	#559	—	79	4	no	—
838	#559	—	79	4	no	—
839	#559	—	79	4	no	—
840	#559	—	79	4	no	—
841	#559	—	79	4	no	—
842	#559	—	79	4	no	—
843	#559	C₂×D₇₉	1	4	yes	complemented
844	#556	—	79	2	no	—
845	#556	—	79	4	no	—
846	#556	—	79	4	no	—
847	#556	—	79	2	no	—
848	#556	—	79	2	no	—
849	#556	C₂×D₇₉	1	2	yes	complemented
850	#555	—	79	2	no	—
851	#555	—	79	4	no	—
852	#555	—	79	2	no	—
853	#555	—	79	2	no	—
854	#555	—	79	4	no	—
855	#555	C₂×D₇₉	1	2	yes	complemented
856	#553	—	79	4	no	—
857	#553	—	79	4	no	—
858	#553	—	79	4	no	—
859	#553	—	79	4	no	—
860	#553	—	79	4	no	—
861	#553	—	79	4	no	—
862	#553	—	79	4	no	—
863	#553	C₂×D₇₉	1	4	yes	complemented
864	#551	—	79	8	no	—
865	#551	—	79	8	no	—
866	#551	—	79	8	no	—
867	#551	—	79	8	no	—
868	#551	—	79	8	no	—
869	#551	—	79	8	no	—
870	#551	—	79	8	no	—
871	#551	—	79	8	no	—
872	#550	—	79	4	no	—
873	#550	—	79	2	no	—
874	#550	—	79	2	no	—
875	#550	—	79	2	no	—
876	#550	—	79	4	no	—
877	#550	C₂×D₇₉	1	2	yes	complemented
878	#547	—	79	2	no	—
879	#547	—	79	4	no	—
880	#547	—	79	2	no	—
881	#547	—	79	2	no	—
882	#547	—	79	4	no	—
883	#547	C₂×D₇₉	1	2	yes	complemented
884	#546	—	79	8	no	—
885	#546	—	79	8	no	—
886	#546	—	79	8	no	—
887	#546	—	79	8	no	—
888	#546	—	79	8	no	—
889	#546	—	79	8	no	—
890	#546	—	79	8	no	—
891	#546	—	79	8	no	—
892	#544	—	79	2	no	—
893	#544	—	79	2	no	—
894	#544	—	79	2	no	—
895	#544	—	79	2	no	—
896	#544	—	79	2	no	—
897	#544	—	79	2	no	—
898	#543	—	79	2	no	—
899	#543	—	79	2	no	—
900	#542	—	79	8	no	—
901	#542	—	79	8	no	—
902	#542	—	79	8	no	—
903	#542	—	79	8	no	—
904	#540	—	79	8	no	—
905	#540	—	79	8	no	—
906	#540	—	79	8	no	—
907	#540	—	79	8	no	—
908	#538	—	79	4	no	—
909	#538	—	79	4	no	—
910	#538	—	79	8	no	—
911	#538	—	79	8	no	—
912	#538	—	79	4	no	—
913	#538	C₂×D₇₉	1	4	yes	complemented
914	#537	—	79	2	no	—
915	#537	—	79	2	no	—
916	#536	—	79	2	no	—
917	#536	—	79	2	no	—
918	#535	—	79	2	no	—
919	#535	—	79	2	no	—
920	#535	—	79	4	no	—
921	#535	—	79	2	no	—
922	#535	—	79	4	no	—
923	#535	—	79	2	no	—
924	#535	—	79	4	no	—
925	#535	—	79	4	no	—
926	#535	—	79	8	no	—
927	#535	—	79	2	no	—
928	#535	C₂×D₇₉	1	2	yes	complemented
929	#534	—	79	2	no	—
930	#534	—	79	2	no	—
931	#533	—	79	4	no	—
932	#533	—	79	4	no	—
933	#533	—	79	2	no	—
934	#533	—	79	1	no	—
935	#533	C₂×D₇₉	1	1	yes	characteristic, complemented
936	#532	—	79	2	no	—
937	#532	—	79	8	no	—
938	#532	—	79	8	no	—
939	#532	—	79	8	no	—
940	#532	—	79	8	no	—
941	#532	—	79	1	no	—
942	#532	C₂×D₇₉	1	1	yes	characteristic, complemented
943	C₂×#127	—	79	4	no	—
944	#529	—	79	8	no	—
945	#529	—	79	8	no	—
946	#529	—	79	8	no	—
947	#529	—	79	8	no	—
948	C₂×#124	—	79	4	no	—
949	#525	—	79	4	no	—
950	#525	—	79	4	no	—
951	#525	—	79	4	no	—
952	#525	—	79	8	no	—
953	#525	—	79	8	no	—
954	#525	—	79	4	no	—
955	#525	—	79	4	no	—
956	#525	C₂×D₇₉	1	4	yes	complemented
957	C₂×#121	—	79	4	no	—
958	C₂×#121	—	79	4	no	—
959	C₂×#120	—	79	8	no	—
960	#520	—	79	2	no	—
961	#520	—	79	2	no	—
962	#520	—	79	4	no	—
963	#520	—	79	2	no	—
964	#520	—	79	4	no	—
965	#520	C₂×D₇₉	1	2	yes	complemented
966	#519	—	79	4	no	—
967	#518	—	79	4	no	—
968	#518	—	79	4	no	—
969	#518	—	79	4	no	—
970	#518	—	79	4	no	—
971	#518	—	79	8	no	—
972	#518	—	79	4	no	—
973	C₄×#41	—	79	4	no	—
974	C₄×#41	—	79	8	no	—
975	C₄×#41	—	79	4	no	—
976	C₂×C₄×D₄	—	79	1	no	—
977	C₂×C₄×D₄	—	79	2	no	—
978	C₂×C₄×D₄	—	79	1	no	—
979	C₂×C₄×D₄	—	79	2	no	—
980	C₂×C₄×D₄	—	79	1	no	—
981	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
982	C₂×#117	—	79	2	no	—
983	C₂×#117	—	79	4	no	—
984	C₂×#117	—	79	1	no	—
985	C₂×#117	—	79	4	no	—
986	C₂×#117	—	79	1	no	—
987	C₂²×C₂²⋊C₄	—	79	2	no	—
988	C₂²×C₂²⋊C₄	—	79	2	no	—
989	C₂⁵	—	79	2	no	—
990	C₂×#41	—	79	4	no	—
991	C₂×#41	—	79	2	no	—
992	C₂×#41	—	79	4	no	—
993	C₂×#41	—	79	8	no	—
994	C₂×#41	—	79	2	no	—
995	C₂×#41	—	79	4	no	—
996	C₂×#41	—	79	4	no	—
997	C₂×#41	—	79	8	no	—
998	C₂×#41	—	79	4	no	—
999	C₂×#41	—	79	2	no	—
1000	C₂×#41	—	158	16	no	—
1001	C₂×#41	C₂²×D₇₉	1	2	yes	—
1002	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
1003	C₂²×Q₈	—	79	2	no	—
1004	C₂²×D₄	—	79	2	no	—
1005	C₂²×D₄	—	79	8	no	—
1006	C₂²×D₄	—	79	8	no	—
1007	C₂²×D₄	—	79	4	no	—
1008	C₂²×D₄	—	79	4	no	—
1009	C₂²×D₄	—	79	4	no	—
1010	C₂²×D₄	—	79	2	no	—
1011	C₂²×D₄	—	79	1	no	—
1012	C₂²×D₄	—	158	8	no	—
1013	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1014	C₂³×C₄	—	79	1	no	—
1015	C₂³×C₄	—	79	2	no	—
1016	C₂³×C₄	—	79	2	no	—
1017	C₂³×C₄	—	79	2	no	—
1018	C₂³×C₄	—	79	4	no	—
1019	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
1020	C₄⋊Q₈	—	79	4	no	—
1021	C₄⋊Q₈	—	79	4	no	—
1022	C₄⋊Q₈	—	79	2	no	—
1023	C₄⋊Q₈	—	79	4	no	—
1024	C₄⋊Q₈	—	79	4	no	—
1025	C₄⋊Q₈	—	79	2	no	—
1026	C₄⋊Q₈	—	79	2	no	—
1027	C₄⋊Q₈	—	79	1	no	—
1028	C₄⋊Q₈	—	79	1	no	—
1029	C₄⋊Q₈	—	79	1	no	—
1030	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1031	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1032	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
1033	#127	—	79	8	no	—
1034	#127	—	79	8	no	—
1035	#127	—	79	4	no	—
1036	#127	—	79	4	no	—
1037	#127	—	79	2	no	—
1038	#127	—	79	4	no	—
1039	#127	—	79	1	no	—
1040	#127	C₂²×D₇₉	1	4	yes	—
1041	#127	C₂²×D₇₉	1	1	yes	characteristic, complemented
1042	#126	—	79	8	no	—
1043	#126	—	79	8	no	—
1044	#126	—	79	8	no	—
1045	#126	—	79	8	no	—
1046	#126	—	79	8	no	—
1047	#126	—	79	8	no	—
1048	#126	—	79	8	no	—
1049	#126	C₂²×D₇₉	1	8	yes	complemented
1050	#125	—	79	4	no	—
1051	#125	—	79	4	no	—
1052	#125	—	79	4	no	—
1053	#125	—	79	4	no	—
1054	#125	—	79	2	no	—
1055	#125	—	79	2	no	—
1056	#125	—	79	2	no	—
1057	#125	C₂²×D₇₉	1	2	yes	complemented
1058	#124	—	79	4	no	—
1059	#124	—	79	2	no	—
1060	#124	—	79	8	no	—
1061	#124	—	79	4	no	—
1062	#124	—	79	2	no	—
1063	#124	—	79	8	no	—
1064	#124	—	79	8	no	—
1065	#124	—	79	8	no	—
1066	#124	—	79	8	no	—
1067	#124	—	79	8	no	—
1068	#124	—	79	8	no	—
1069	#124	—	79	8	no	—
1070	#124	—	79	4	no	—
1071	#124	—	79	2	no	—
1072	#124	—	79	8	no	—
1073	#124	C₂²×D₇₉	1	4	yes	—
1074	#124	C₂²×D₇₉	1	8	yes	complemented
1075	#124	C₂²×D₇₉	1	2	yes	complemented
1076	#123	—	79	8	no	—
1077	#123	—	79	8	no	—
1078	#123	—	79	8	no	—
1079	#123	—	79	8	no	—
1080	#123	—	79	4	no	—
1081	#123	—	79	4	no	—
1082	#123	—	79	8	no	—
1083	#123	—	79	8	no	—
1084	#123	—	79	8	no	—
1085	#123	—	79	8	no	—
1086	#123	—	79	4	no	—
1087	#123	—	79	4	no	—
1088	#123	—	79	8	no	—
1089	#123	—	79	8	no	—
1090	#123	—	79	8	no	—
1091	#123	—	79	8	no	—
1092	#123	—	79	8	no	—
1093	#123	—	79	8	no	—
1094	#123	C₂²×D₇₉	1	8	yes	complemented
1095	#123	C₂²×D₇₉	1	8	yes	complemented
1096	C₂²⋊Q₈	—	79	4	no	—
1097	C₂²⋊Q₈	—	79	4	no	—
1098	C₂²⋊Q₈	—	79	4	no	—
1099	C₂²⋊Q₈	—	79	2	no	—
1100	C₂²⋊Q₈	—	79	2	no	—
1101	C₂²⋊Q₈	—	79	4	no	—
1102	C₂²⋊Q₈	—	79	4	no	—
1103	C₂²⋊Q₈	—	79	4	no	—
1104	C₂²⋊Q₈	—	79	8	no	—
1105	C₂²⋊Q₈	—	79	4	no	—
1106	C₂²⋊Q₈	—	79	4	no	—
1107	C₂²⋊Q₈	—	79	4	no	—
1108	C₂²⋊Q₈	—	79	4	no	—
1109	C₂²⋊Q₈	—	79	4	no	—
1110	C₂²⋊Q₈	—	79	4	no	—
1111	C₂²⋊Q₈	—	79	4	no	—
1112	C₂²⋊Q₈	—	79	4	no	—
1113	C₂²⋊Q₈	—	79	4	no	—
1114	C₂²⋊Q₈	—	79	4	no	—
1115	C₂²⋊Q₈	—	79	4	no	—
1116	C₂²⋊Q₈	—	79	8	no	—
1117	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1118	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1119	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
1120	#121	—	79	8	no	—
1121	#121	—	79	8	no	—
1122	#121	—	79	4	no	—
1123	#121	—	79	4	no	—
1124	#121	—	79	4	no	—
1125	#121	—	79	4	no	—
1126	#121	—	79	4	no	—
1127	#121	—	79	4	no	—
1128	#121	—	79	4	no	—
1129	#121	—	79	8	no	—
1130	#121	—	79	8	no	—
1131	#121	—	79	8	no	—
1132	#121	—	79	8	no	—
1133	#121	—	79	4	no	—
1134	#121	—	79	4	no	—
1135	#121	—	79	2	no	—
1136	#121	—	79	2	no	—
1137	#121	—	79	4	no	—
1138	#121	—	79	8	no	—
1139	#121	—	79	4	no	—
1140	#121	—	79	4	no	—
1141	#121	—	79	4	no	—
1142	#121	—	79	8	no	—
1143	#121	—	79	8	no	—
1144	#121	—	79	8	no	—
1145	#121	—	79	4	no	—
1146	#121	—	79	4	no	—
1147	#121	—	79	8	no	—
1148	#121	—	79	8	no	—
1149	#121	—	79	8	no	—
1150	#121	C₂²×D₇₉	1	4	yes	—
1151	#121	C₂²×D₇₉	1	4	yes	—
1152	#121	C₂²×D₇₉	1	2	yes	—
1153	#121	C₂²×D₇₉	1	2	yes	—
1154	#121	C₂²×D₇₉	1	4	yes	complemented
1155	#121	C₂²×D₇₉	1	8	yes	complemented
1156	#120	—	79	8	no	—
1157	#120	—	79	8	no	—
1158	#120	—	79	8	no	—
1159	#120	—	79	8	no	—
1160	#120	—	79	4	no	—
1161	#120	—	79	4	no	—
1162	#120	—	79	8	no	—
1163	#120	—	79	8	no	—
1164	#120	—	79	8	no	—
1165	#120	—	79	4	no	—
1166	#120	—	79	4	no	—
1167	#120	C₂²×D₇₉	1	8	yes	—
1168	C₄×Q₈	—	79	4	no	—
1169	C₄×Q₈	—	79	8	no	—
1170	C₄×Q₈	—	79	4	no	—
1171	C₄×Q₈	—	79	8	no	—
1172	C₄×Q₈	—	79	4	no	—
1173	C₄×Q₈	—	79	4	no	—
1174	C₄×Q₈	—	79	4	no	—
1175	C₄×Q₈	—	79	2	no	—
1176	C₄×Q₈	—	79	2	no	—
1177	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
1178	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1179	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1180	C₄×D₄	—	79	4	no	—
1181	C₄×D₄	—	79	4	no	—
1182	C₄×D₄	—	79	8	no	—
1183	C₄×D₄	—	79	4	no	—
1184	C₄×D₄	—	79	8	no	—
1185	C₄×D₄	—	79	8	no	—
1186	C₄×D₄	—	79	8	no	—
1187	C₄×D₄	—	79	8	no	—
1188	C₄×D₄	—	79	8	no	—
1189	C₄×D₄	—	79	8	no	—
1190	C₄×D₄	—	79	4	no	—
1191	C₄×D₄	—	79	4	no	—
1192	C₄×D₄	—	79	8	no	—
1193	C₄×D₄	—	79	8	no	—
1194	C₄×D₄	—	79	4	no	—
1195	C₄×D₄	—	79	4	no	—
1196	C₄×D₄	—	79	8	no	—
1197	C₄×D₄	—	79	4	no	—
1198	C₄×D₄	—	79	8	no	—
1199	C₄×D₄	—	79	8	no	—
1200	C₄×D₄	—	79	8	no	—
1201	C₄×D₄	—	79	8	no	—
1202	C₄×D₄	—	79	8	no	—
1203	C₄×D₄	—	79	8	no	—
1204	C₄×D₄	—	79	8	no	—
1205	C₄×D₄	—	79	8	no	—
1206	C₄×D₄	—	79	2	no	—
1207	C₄×D₄	—	79	2	no	—
1208	C₄×D₄	—	79	2	no	—
1209	C₄×D₄	—	79	2	no	—
1210	C₄×D₄	—	79	8	no	—
1211	C₄×D₄	—	79	4	no	—
1212	C₄×D₄	—	79	2	no	—
1213	C₄×D₄	—	79	2	no	—
1214	C₄×D₄	—	79	8	no	—
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	2	yes	—
1219	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1220	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
1221	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1222	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1223	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1224	#117	—	79	2	no	—
1225	#117	—	79	4	no	—
1226	#117	—	79	4	no	—
1227	#117	—	79	4	no	—
1228	#117	—	79	2	no	—
1229	#117	—	79	2	no	—
1230	#117	—	79	4	no	—
1231	#117	—	79	8	no	—
1232	#117	—	79	8	no	—
1233	#117	—	79	4	no	—
1234	#117	—	79	4	no	—
1235	#117	—	79	4	no	—
1236	#117	—	79	4	no	—
1237	#117	—	79	4	no	—
1238	#117	—	79	8	no	—
1239	#117	—	79	8	no	—
1240	#117	—	79	2	no	—
1241	#117	—	79	2	no	—
1242	#117	—	79	2	no	—
1243	#117	—	79	2	no	—
1244	#117	—	79	4	no	—
1245	#117	—	79	8	no	—
1246	#117	—	79	8	no	—
1247	#117	C₂²×D₇₉	1	2	yes	—
1248	#117	C₂²×D₇₉	1	4	yes	complemented
1249	#117	C₂²×D₇₉	1	4	yes	complemented
1250	C₂×C₄⋊C₄	—	79	1	no	—
1251	C₂×C₄⋊C₄	—	79	1	no	—
1252	C₂×C₄⋊C₄	—	79	1	no	—
1253	C₂×C₄⋊C₄	—	79	4	no	—
1254	C₂×C₄⋊C₄	—	79	2	no	—
1255	C₂×C₄⋊C₄	—	79	2	no	—
1256	C₂×C₄⋊C₄	—	79	4	no	—
1257	C₂×C₄⋊C₄	—	79	4	no	—
1258	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1260	C₂×C₂²⋊C₄	—	79	2	no	—
1261	C₂×C₂²⋊C₄	—	79	2	no	—
1262	C₂×C₂²⋊C₄	—	79	1	no	—
1263	C₂×C₂²⋊C₄	—	79	1	no	—
1264	C₂×C₂²⋊C₄	—	79	2	no	—
1265	C₂×C₂²⋊C₄	—	79	2	no	—
1266	C₂×C₂²⋊C₄	—	79	8	no	—
1267	C₂×C₂²⋊C₄	—	79	8	no	—
1268	C₂×C₂²⋊C₄	—	79	8	no	—
1269	C₂×C₂²⋊C₄	—	79	8	no	—
1270	C₂×C₂²⋊C₄	—	79	8	no	—
1271	C₂×C₂²⋊C₄	—	79	4	no	—
1272	C₂×C₂²⋊C₄	—	79	8	no	—
1273	C₂×C₂²⋊C₄	—	79	8	no	—
1274	C₂×C₂²⋊C₄	—	79	8	no	—
1275	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1276	C₂×C₄²	—	79	2	no	—
1277	C₂×C₄²	—	79	1	no	—
1278	C₂×C₄²	—	79	8	no	—
1279	C₂×C₄²	—	79	4	no	—
1280	C₂×C₄²	—	79	8	no	—
1281	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1282	C₂⁴	—	79	1	no	—
1283	C₂⁴	—	79	8	no	—
1284	C₂⁴	—	79	4	no	—
1285	C₂⁴	—	79	2	no	—
1286	C₂⁴	—	632	2	no	—
1287	C₂⁴	—	632	2	no	—
1288	C₂⁴	—	158	8	no	—
1289	C₂⁴	C₂³×D₇₉	1	2	yes	—
1290	#41	—	2	8	no	—
1291	#41	—	8	4	no	—
1292	#41	—	632	4	no	—
1293	#41	—	632	8	no	—
1294	#41	—	632	4	no	—
1295	#41	—	632	8	no	—
1296	#41	—	632	4	no	—
1297	#41	—	158	16	no	—
1298	#41	—	158	16	no	—
1299	#41	—	158	8	no	—
1300	#41	—	158	8	no	—
1301	#41	—	158	8	no	—
1302	C₂×Q₈	—	79	2	no	—
1303	C₂×Q₈	—	79	2	no	—
1304	C₂×Q₈	—	79	4	no	—
1305	C₂×Q₈	—	79	4	no	—
1306	C₂×Q₈	—	79	4	no	—
1307	C₂×Q₈	—	79	2	no	—
1308	C₂×Q₈	—	158	8	no	—
1309	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1310	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1311	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1312	C₂×D₄	—	2	4	no	—
1313	C₂×D₄	—	79	4	no	—
1314	C₂×D₄	—	79	4	no	—
1315	C₂×D₄	—	79	8	no	—
1316	C₂×D₄	—	79	8	no	—
1317	C₂×D₄	—	79	8	no	—
1318	C₂×D₄	—	79	8	no	—
1319	C₂×D₄	—	79	4	no	—
1320	C₂×D₄	—	79	4	no	—
1321	C₂×D₄	—	79	8	no	—
1322	C₂×D₄	—	79	4	no	—
1323	C₂×D₄	—	79	2	no	—
1324	C₂×D₄	—	79	2	no	—
1325	C₂×D₄	—	79	8	no	—
1326	C₂×D₄	—	79	8	no	—
1327	C₂×D₄	—	79	4	no	—
1328	C₂×D₄	—	79	2	no	—
1329	C₂×D₄	—	79	2	no	—
1330	C₂×D₄	—	79	2	no	—
1331	C₂×D₄	—	632	8	no	—
1332	C₂×D₄	—	632	8	no	—
1333	C₂×D₄	—	158	16	no	—
1334	C₂×D₄	—	158	16	no	—
1335	C₂×D₄	—	158	8	no	—
1336	C₂×D₄	—	158	8	no	—
1337	C₂×D₄	—	158	16	no	—
1338	C₂×D₄	—	158	4	no	—
1339	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1340	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1341	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1342	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1343	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1344	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1345	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1346	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1347	C₂²×C₄	—	8	2	no	—
1348	C₂²×C₄	—	79	2	no	—
1349	C₂²×C₄	—	79	1	no	—
1350	C₂²×C₄	—	79	1	no	—
1351	C₂²×C₄	—	79	8	no	—
1352	C₂²×C₄	—	79	8	no	—
1353	C₂²×C₄	—	79	4	no	—
1354	C₂²×C₄	—	79	4	no	—
1355	C₂²×C₄	—	79	8	no	—
1356	C₂²×C₄	—	79	8	no	—
1357	C₂²×C₄	—	79	4	no	—
1358	C₂²×C₄	—	79	4	no	—
1359	C₂²×C₄	—	79	8	no	—
1360	C₂²×C₄	—	79	1	no	—
1361	C₂²×C₄	—	79	8	no	—
1362	C₂²×C₄	—	79	2	no	—
1363	C₂²×C₄	—	79	2	no	—
1364	C₂²×C₄	—	79	4	no	—
1365	C₂²×C₄	—	79	4	no	—
1366	C₂²×C₄	—	79	4	no	—
1367	C₂²×C₄	—	79	4	no	—
1368	C₂²×C₄	—	632	2	no	—
1369	C₂²×C₄	—	632	2	no	—
1370	C₂²×C₄	—	632	2	no	—
1371	C₂²×C₄	—	158	16	no	—
1372	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1373	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1374	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1375	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1376	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1377	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1378	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1379	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1380	C₄⋊C₄	—	79	2	no	—
1381	C₄⋊C₄	—	79	2	no	—
1382	C₄⋊C₄	—	79	2	no	—
1383	C₄⋊C₄	—	79	2	no	—
1384	C₄⋊C₄	—	79	4	no	—
1385	C₄⋊C₄	—	79	4	no	—
1386	C₄⋊C₄	—	79	8	no	—
1387	C₄⋊C₄	—	79	8	no	—
1388	C₄⋊C₄	—	79	4	no	—
1389	C₄⋊C₄	—	79	4	no	—
1390	C₄⋊C₄	—	79	4	no	—
1391	C₄⋊C₄	—	79	4	no	—
1392	C₄⋊C₄	—	79	4	no	—
1393	C₄⋊C₄	—	79	4	no	—
1394	C₄⋊C₄	—	79	4	no	—
1395	C₄⋊C₄	—	79	4	no	—
1396	C₄⋊C₄	—	79	2	no	—
1397	C₄⋊C₄	—	79	2	no	—
1398	C₄⋊C₄	—	79	2	no	—
1399	C₄⋊C₄	—	79	2	no	—
1400	C₄⋊C₄	—	79	8	no	—
1401	C₄⋊C₄	—	79	2	no	—
1402	C₄⋊C₄	—	79	2	no	—
1403	C₄⋊C₄	—	79	2	no	—
1404	C₄⋊C₄	—	79	2	no	—
1405	C₄⋊C₄	—	79	4	no	—
1406	C₄⋊C₄	—	79	4	no	—
1407	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1408	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1409	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1410	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1411	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1412	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1413	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1414	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1415	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1416	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1417	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1418	C₂²⋊C₄	—	79	8	no	—
1419	C₂²⋊C₄	—	79	4	no	—
1420	C₂²⋊C₄	—	79	8	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	2	no	—
1427	C₂²⋊C₄	—	79	2	no	—
1428	C₂²⋊C₄	—	79	2	no	—
1429	C₂²⋊C₄	—	79	2	no	—
1430	C₂²⋊C₄	—	79	4	no	—
1431	C₂²⋊C₄	—	79	4	no	—
1432	C₂²⋊C₄	—	79	4	no	—
1433	C₂²⋊C₄	—	79	4	no	—
1434	C₂²⋊C₄	—	79	8	no	—
1435	C₂²⋊C₄	—	79	8	no	—
1436	C₂²⋊C₄	—	79	8	no	—
1437	C₂²⋊C₄	—	79	8	no	—
1438	C₂²⋊C₄	—	79	8	no	—
1439	C₂²⋊C₄	—	79	8	no	—
1440	C₂²⋊C₄	—	79	8	no	—
1441	C₂²⋊C₄	—	79	4	no	—
1442	C₂²⋊C₄	—	79	4	no	—
1443	C₂²⋊C₄	—	79	4	no	—
1444	C₂²⋊C₄	—	79	4	no	—
1445	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1446	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1447	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1448	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1449	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1450	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1451	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1452	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1453	C₄²	—	79	8	no	—
1454	C₄²	—	79	4	no	—
1455	C₄²	—	79	4	no	—
1456	C₄²	—	79	8	no	—
1457	C₄²	—	79	8	no	—
1458	C₄²	—	79	8	no	—
1459	C₄²	—	79	2	no	—
1460	C₄²	—	79	2	no	—
1461	C₄²	—	79	4	no	—
1462	C₄²	C₂³×D₇₉	1	8	yes	—
1463	C₄²	C₂³×D₇₉	1	4	yes	—
1464	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1465	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1466	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1467	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1468	C₂³	—	2	4	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	4	2	no	—
1471	C₂³	—	316	2	no	—
1472	C₂³	—	316	2	no	—
1473	C₂³	—	316	1	no	—
1474	C₂³	—	316	1	no	—
1475	C₂³	—	316	4	no	—
1476	C₂³	—	316	4	no	—
1477	C₂³	—	316	8	no	—
1478	C₂³	—	316	8	no	—
1479	C₂³	—	79	4	no	—
1480	C₂³	—	79	2	no	—
1481	C₂³	—	79	4	no	—
1482	C₂³	—	79	4	no	—
1483	C₂³	—	632	16	no	—
1484	C₂³	—	158	8	no	—
1485	C₂³	—	158	16	no	—
1486	C₂³	—	158	4	no	—
1487	C₂³	C₂⁴×D₇₉	1	4	yes	—
1488	C₂³	C₂⁴×D₇₉	1	4	yes	—
1489	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1490	Q₈	—	2	4	no	—
1491	Q₈	—	4	2	no	—
1492	Q₈	—	4	2	no	—
1493	Q₈	—	316	2	no	—
1494	Q₈	—	316	4	no	—
1495	Q₈	—	316	2	no	—
1496	Q₈	—	316	4	no	—
1497	Q₈	—	158	8	no	—
1498	Q₈	—	158	4	no	—
1499	D₄	—	2	8	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	2	4	no	—
1503	D₄	—	4	8	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	4	2	no	—
1506	D₄	—	4	2	no	—
1507	D₄	—	316	8	no	—
1508	D₄	—	316	8	no	—
1509	D₄	—	316	2	no	—
1510	D₄	—	316	2	no	—
1511	D₄	—	316	8	no	—
1512	D₄	—	316	8	no	—
1513	D₄	—	316	8	no	—
1514	D₄	—	316	8	no	—
1515	D₄	—	316	4	no	—
1516	D₄	—	316	4	no	—
1517	D₄	—	158	8	no	—
1518	D₄	—	158	16	no	—
1519	D₄	—	158	8	no	—
1520	D₄	—	158	8	no	—
1521	D₄	—	158	8	no	—
1522	D₄	—	158	4	no	—
1523	D₄	—	158	4	no	—
1524	D₄	—	158	4	no	—
1525	C₂×C₄	—	2	8	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	1	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	316	8	no	—
1533	C₂×C₄	—	316	4	no	—
1534	C₂×C₄	—	316	4	no	—
1535	C₂×C₄	—	316	4	no	—
1536	C₂×C₄	—	316	4	no	—
1537	C₂×C₄	—	316	8	no	—
1538	C₂×C₄	—	316	8	no	—
1539	C₂×C₄	—	316	1	no	—
1540	C₂×C₄	—	316	2	no	—
1541	C₂×C₄	—	316	1	no	—
1542	C₂×C₄	—	316	8	no	—
1543	C₂×C₄	—	316	8	no	—
1544	C₂×C₄	—	79	2	no	—
1545	C₂×C₄	—	79	4	no	—
1546	C₂×C₄	—	79	8	no	—
1547	C₂×C₄	—	79	8	no	—
1548	C₂×C₄	—	79	4	no	—
1549	C₂×C₄	—	79	4	no	—
1550	C₂×C₄	—	79	4	no	—
1551	C₂×C₄	—	79	4	no	—
1552	C₂×C₄	—	79	2	no	—
1553	C₂×C₄	—	79	2	no	—
1554	C₂×C₄	—	158	8	no	—
1555	C₂×C₄	—	158	8	no	—
1556	C₂×C₄	—	158	8	no	—
1557	C₂×C₄	—	158	8	no	—
1558	C₂×C₄	#41×D₇₉	1	4	yes	—
1559	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1560	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1561	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1562	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1563	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1564	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1565	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1566	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1567	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1568	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	1	no	—
1571	C₂²	—	2	4	no	—
1572	C₂²	—	2	4	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	4	no	—
1575	C₂²	—	2	4	no	—
1576	C₂²	—	2	4	no	—
1577	C₂²	—	4	8	no	—
1578	C₂²	—	316	8	no	—
1579	C₂²	—	316	4	no	—
1580	C₂²	—	79	4	no	—
1581	C₂²	—	632	16	no	—
1582	C₂²	—	632	8	no	—
1583	C₂²	—	158	4	no	—
1584	C₂²	—	158	4	no	—
1585	C₂²	—	158	4	no	—
1586	C₂²	—	158	4	no	—
1587	C₂²	—	158	4	no	—
1588	C₂²	—	158	4	no	—
1589	C₂²	—	158	2	no	—
1590	C₂²	—	158	2	no	—
1591	C₂²	C₂×#41×D₇₉	1	2	yes	—
1592	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1593	C₄	—	2	4	no	—
1594	C₄	—	2	4	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	4	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	4	no	—
1601	C₄	—	79	4	no	—
1602	C₄	—	158	4	no	—
1603	C₄	—	158	2	no	—
1604	C₄	—	158	4	no	—
1605	C₄	—	158	4	no	—
1606	C₄	—	158	2	no	—
1607	C₄	—	158	4	no	—
1608	C₄	C₂×#41×D₇₉	1	2	yes	—
1609	C₄	C₂×#41×D₇₉	1	2	yes	—
1610	C₂	—	2	2	no	—
1611	C₂	—	4	4	no	—
1612	C₂	—	4	4	no	—
1613	C₂	—	316	4	no	—
1614	C₂	—	316	4	no	—
1615	C₂	—	158	4	no	—
1616	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1617	C₂	#23778210	1	1	yes	characteristic
1618	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	#62855
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. #23777293	C₂	semidirect
2. #23777290	C₂	semidirect
3. #23777273	C₂	semidirect
4. #23777270	C₂	semidirect
5. #23777254	C₂	semidirect
6. #23777252	C₂	semidirect
7. #23777251	C₂	semidirect
8. #23777249	C₂	semidirect
9. #23777245	C₂	semidirect
10. #23777134	C₂	semidirect
11. #23777131	C₂	semidirect
12. #23777128	C₂	semidirect
13. #23777124	C₂	semidirect
14. #23777086	C₂	semidirect
15. #23777083	C₂	semidirect
16. #23776819	C₂	semidirect
17. #23776818	C₂	semidirect
18. #23776803	C₂	semidirect
19. #23776727	C₂	semidirect
20. #535×D₇₉	C₂	semidirect
21. #23776600	C₂	semidirect
22. C₂×#19099035	C₂	semidirect
23. C₇₉×#3506	C₂	semidirect
26. #19099299	C₂²	semidirect
27. #19099298	C₂²	semidirect
28. #19099298	C₂²	semidirect
29. #19099296	C₂²	semidirect
30. #19099296	C₂²	semidirect
31. #19099295	C₂²	semidirect
32. #19099295	C₂²	semidirect
33. #19099287	C₂²	semidirect
34. #19099286	C₂²	semidirect
35. #19099285	C₂²	semidirect
36. #19099283	C₂²	semidirect
37. #19099282	C₂²	semidirect
38. #19099279	C₂²	semidirect
39. #19099278	C₂²	semidirect
40. #19099278	C₂²	semidirect
41. #19099277	C₂²	semidirect
42. #19099276	C₂²	semidirect
43. #19099266	C₂²	semidirect
44. #19099265	C₂²	semidirect
45. #19099263	C₂²	semidirect
46. #19099261	C₂²	semidirect
47. #19099260	C₂²	semidirect
48. #19099259	C₂²	semidirect
49. #19099257	C₂²	semidirect
50. #19099243	C₂²	semidirect
51. #19099242	C₂²	semidirect
52. #19099241	C₂²	semidirect
53. #19099240	C₂²	semidirect
54. #19099238	C₂²	semidirect
55. #19099238	C₂²	semidirect
56. #19099237	C₂²	semidirect
57. #19099236	C₂²	semidirect
58. #19099235	C₂²	semidirect
59. #19099234	C₂²	semidirect
60. #19099234	C₂²	semidirect
61. #19099233	C₂²	semidirect
62. #19099233	C₂²	semidirect
63. #19099218	C₂²	semidirect
64. #19099217	C₂²	semidirect
65. #19099216	C₂²	semidirect
66. #19099214	C₂²	semidirect
67. #19099213	C₂²	semidirect
68. #19099210	C₂²	semidirect
69. #19099208	C₂²	semidirect
70. #19099206	C₂²	semidirect
71. #19099205	C₂²	semidirect
72. #19099205	C₂²	semidirect
73. #19099202	C₂²	semidirect
74. #19099202	C₂²	semidirect
75. #19099201	C₂²	semidirect
76. #19099193	C₂²	semidirect
77. #19099193	C₂²	semidirect
78. #19099192	C₂²	semidirect
79. #19099192	C₂²	semidirect
80. #19099190	C₂²	semidirect
81. #19099190	C₂²	semidirect
84. #19099183	C₂²	semidirect
85. #19099181	C₂²	semidirect
86. #19099179	C₂²	semidirect
87. #19099177	C₂²	semidirect
88. #19099165	C₂²	semidirect
89. #19099165	C₂²	semidirect
90. #19099163	C₂²	semidirect
91. #19099163	C₂²	semidirect
92. #19099153	C₂²	semidirect
93. #19099151	C₂²	semidirect
94. #19099150	C₂²	semidirect
95. #19099148	C₂²	semidirect
96. #19099146	C₂²	semidirect
97. #19099140	C₂²	semidirect
98. #19099140	C₂²	semidirect
99. #19099138	C₂²	semidirect
100. #19099133	C₂²	semidirect
101. #19099132	C₂²	semidirect
103. #19099131	C₂²	semidirect
104. #19099130	C₂²	semidirect
107. #19099128	C₂²	semidirect
108. #19099127	C₂²	semidirect
110. #19099126	C₂²	semidirect
113. #19099120	C₂²	semidirect
114. #19099117	C₂²	semidirect
115. #19099117	C₂²	semidirect
116. #19099116	C₂²	semidirect
117. #19099113	C₂²	semidirect
118. #19099112	C₂²	semidirect
119. #19099110	C₂²	semidirect
120. #19099109	C₂²	semidirect
121. #19099109	C₂²	semidirect
122. #19099108	C₂²	semidirect
123. #127×D₇₉	C₂²	semidirect
124. #19099096	C₂²	semidirect
125. #19099093	C₂²	semidirect
126. #19099091	C₂²	semidirect
127. #19099090	C₂²	semidirect
128. #124×D₇₉	C₂²	semidirect
129. #19099076	C₂²	semidirect
130. #19099074	C₂²	semidirect
131. #19099073	C₂²	semidirect
132. #19099072	C₂²	semidirect
133. #19099072	C₂²	semidirect
134. #19099072	C₂²	semidirect
135. #19099069	C₂²	semidirect
136. #121×D₇₉	C₂²	semidirect
137. #121×D₇₉	C₂²	semidirect
139. #19099046	C₂²	semidirect
140. #19099044	C₂²	semidirect
141. #19099044	C₂²	semidirect
142. #19099043	C₂²	semidirect
143. #19099043	C₂²	semidirect
144. #19099039	C₂²	semidirect
146. #19099035	C₂²	semidirect
147. #19099035	C₂²	semidirect
148. #19099035	C₂²	semidirect
149. #19099035	C₂²	semidirect
150. #19099035	C₂²	semidirect
151. C₄×#11929625	C₂²	semidirect
152. C₄×#11929623	C₂²	semidirect
153. C₄×#11929623	C₂²	semidirect
154. C₂×C₄×D₃₁₆	C₂²	semidirect
155. C₂×D₄×Dic₇₉	C₂²	semidirect
156. C₂×#14579123	C₂²	semidirect
157. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
158. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
160. C₂×#14579119	C₂²	semidirect
163. #117×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
181. C₂×#11929625	C₂³	semidirect
184. C₂×#11929624	C₂³	semidirect
185. C₂×#11929624	C₂³	semidirect
188. C₂×#11929623	C₂³	semidirect
189. C₂×#11929623	C₂³	semidirect
206. #14579161	C₂³	semidirect
207. #14579161	C₂³	semidirect
208. #14579161	C₂³	semidirect
209. #14579160	C₂³	semidirect
210. #14579160	C₂³	semidirect
211. #14579160	C₂³	semidirect
212. #14579160	C₂³	semidirect
213. #14579159	C₂³	semidirect
214. #14579159	C₂³	semidirect
215. #14579159	C₂³	semidirect
217. #14579158	C₂³	semidirect
222. #14579157	C₂³	semidirect
223. #14579156	C₂³	semidirect
224. #14579156	C₂³	semidirect
225. #14579156	C₂³	semidirect
226. #14579155	C₂³	semidirect
227. #14579154	C₂³	semidirect
228. #14579154	C₂³	semidirect
229. #14579154	C₂³	semidirect
230. #14579153	C₂³	semidirect
231. #14579152	C₂³	semidirect
232. #14579152	C₂³	semidirect
233. #14579151	C₂³	semidirect
234. #14579151	C₂³	semidirect
235. #14579151	C₂³	semidirect
236. #14579151	C₂³	semidirect
238. #14579150	C₂³	semidirect
239. #14579150	C₂³	semidirect
241. #14579149	C₂³	semidirect
242. #14579149	C₂³	semidirect
244. #14579148	C₂³	semidirect
245. #14579148	C₂³	semidirect
248. #14579147	C₂³	semidirect
249. #14579147	C₂³	semidirect
250. #14579147	C₂³	semidirect
251. #14579147	C₂³	semidirect
254. #14579146	C₂³	semidirect
255. #14579146	C₂³	semidirect
256. #14579146	C₂³	semidirect
257. #14579146	C₂³	semidirect
258. #14579145	C₂³	semidirect
259. #14579145	C₂³	semidirect
260. #14579144	C₂³	semidirect
261. #14579144	C₂³	semidirect
264. #14579143	C₂³	semidirect
265. #14579143	C₂³	semidirect
266. #14579143	C₂³	semidirect
267. #14579143	C₂³	semidirect
268. #14579142	C₂³	semidirect
269. #14579142	C₂³	semidirect
272. #14579141	C₂³	semidirect
275. #14579140	C₂³	semidirect
280. #14579139	C₂³	semidirect
281. #14579139	C₂³	semidirect
282. #14579139	C₂³	semidirect
285. #14579138	C₂³	semidirect
286. #14579138	C₂³	semidirect
287. #14579138	C₂³	semidirect
290. #14579137	C₂³	semidirect
293. #14579136	C₂³	semidirect
294. #14579136	C₂³	semidirect
299. #14579135	C₂³	semidirect
300. #14579135	C₂³	semidirect
303. #14579134	C₂³	semidirect
304. #14579134	C₂³	semidirect
305. #14579134	C₂³	semidirect
306. #14579134	C₂³	semidirect
307. #14579134	C₂³	semidirect
312. #14579133	C₂³	semidirect
313. #14579133	C₂³	semidirect
314. #14579133	C₂³	semidirect
315. #14579133	C₂³	semidirect
316. #14579133	C₂³	semidirect
319. #14579132	C₂³	semidirect
320. #14579132	C₂³	semidirect
332. Q₈×Dic₇₉	C₂³	semidirect
333. C₄×Dic₁₅₈	C₂³	semidirect
334. C₄×Dic₁₅₈	C₂³	semidirect
335. C₄×Dic₁₅₈	C₂³	semidirect
336. C₄×Dic₁₅₈	C₂³	semidirect
337. C₄×Dic₁₅₈	C₂³	semidirect
338. C₄×Dic₁₅₈	C₂³	semidirect
339. #14579126	C₂³	semidirect
340. #14579126	C₂³	semidirect
346. C₄×D₃₁₆	C₂³	semidirect
347. C₄×D₃₁₆	C₂³	semidirect
348. C₄×D₃₁₆	C₂³	semidirect
349. C₄×D₃₁₆	C₂³	semidirect
353. D₄×Dic₇₉	C₂³	semidirect
354. D₄×Dic₇₉	C₂³	semidirect
358. #14579123	C₂³	semidirect
359. #14579123	C₂³	semidirect
364. C₄×C₂²⋊D₇₉	C₂³	semidirect
365. C₄×C₂²⋊D₇₉	C₂³	semidirect
366. C₄×C₂²⋊D₇₉	C₂³	semidirect
367. C₄×C₂²⋊D₇₉	C₂³	semidirect
368. C₄×C₂²⋊D₇₉	C₂³	semidirect
373. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
374. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
375. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
377. #14579120	C₂³	semidirect
378. #14579120	C₂³	semidirect
384. #14579119	C₂³	semidirect
385. #14579119	C₂³	semidirect
386. #14579119	C₂³	semidirect
387. #14579119	C₂³	semidirect
388. #14579119	C₂³	semidirect
395. #14579118	C₂³	semidirect
397. #14579117	C₂³	semidirect
398. #14579117	C₂³	semidirect
400. C₂×C₄⋊Dic₇₉	C₂³	semidirect
405. C₄⋊C₄×D₇₉	C₂³	semidirect
406. C₄⋊C₄×D₇₉	C₂³	semidirect
424. C₂×C₄×Dic₇₉	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
533. C₂×C₄×D₇₉	#41	semidirect
819. #3506	D₇₉	semidirect
833. C₇₉	#62855	semidirect
843. #559	C₂×D₇₉	semidirect
849. #556	C₂×D₇₉	semidirect
855. #555	C₂×D₇₉	semidirect
863. #553	C₂×D₇₉	semidirect
877. #550	C₂×D₇₉	semidirect
883. #547	C₂×D₇₉	semidirect
913. #538	C₂×D₇₉	semidirect
928. #535	C₂×D₇₉	semidirect
935. #533	C₂×D₇₉	semidirect
942. #532	C₂×D₇₉	semidirect
956. #525	C₂×D₇₉	semidirect
965. #520	C₂×D₇₉	semidirect
981. C₂×C₄×D₄	C₂×D₇₉	semidirect
1002. C₂×#41	C₂²×D₇₉	semidirect
1030. C₄⋊Q₈	C₂²×D₇₉	semidirect
1031. C₄⋊Q₈	C₂²×D₇₉	semidirect
1032. C₄⋊Q₈	C₂²×D₇₉	semidirect
1041. #127	C₂²×D₇₉	semidirect
1049. #126	C₂²×D₇₉	semidirect
1057. #125	C₂²×D₇₉	semidirect
1074. #124	C₂²×D₇₉	semidirect
1075. #124	C₂²×D₇₉	semidirect
1094. #123	C₂²×D₇₉	semidirect
1095. #123	C₂²×D₇₉	semidirect
1119. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1154. #121	C₂²×D₇₉	semidirect
1155. #121	C₂²×D₇₉	semidirect
1177. C₄×Q₈	C₂²×D₇₉	semidirect
1178. C₄×Q₈	C₂²×D₇₉	semidirect
1179. C₄×Q₈	C₂²×D₇₉	semidirect
1220. C₄×D₄	C₂²×D₇₉	semidirect
1221. C₄×D₄	C₂²×D₇₉	semidirect
1222. C₄×D₄	C₂²×D₇₉	semidirect
1223. C₄×D₄	C₂²×D₇₉	semidirect
1248. #117	C₂²×D₇₉	semidirect
1249. #117	C₂²×D₇₉	semidirect
1259. 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
#23777293	2
#23777290	2
#23777273	2
#23777270	2
#23777254	2
#23777252	2
#23777251	2
#23777249	2
#23777245	2
#23777134	2
#23777131	2
#23777128	2
#23777124	2
#23777086	2
#23777083	2
#23776819	2
#23776818	2
#23776803	2
#23776727	2
#535×D₇₉	2
#23776600	2
C₂×#19099035	2
C₇₉×#3506	2
#62855	79