Subgroups — #35196926

Order 20224.

7382 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777605	C₂	1	8	yes	maximal, complemented
2	#23777586	C₂	1	8	yes	maximal, complemented
3	#23777568	C₂	1	8	yes	maximal, complemented
4	#23777341	C₂	1	8	yes	maximal, complemented
5	#23777327	C₂	1	8	yes	maximal, complemented
6	#23777106	C₂	1	4	yes	maximal, complemented
7	#23777099	C₂	1	2	yes	maximal, complemented
8	#23777093	C₂	1	2	yes	maximal, complemented
9	#23777089	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777083	C₂	1	4	yes	maximal, complemented
11	#23777045	C₂	1	2	yes	maximal, complemented
12	#23777041	C₂	1	2	yes	maximal, complemented
13	#23777029	C₂	1	2	yes	maximal, complemented
14	C₂×#19099069	C₂	1	2	yes	maximal, complemented
15	C₂²×#14579145	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₉×#3490	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14579206	C₂²	1	2	yes	complemented
18	C₂²×#11929623	C₂²	1	2	yes	complemented
19	C₂³×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
20	C₂⁴×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
21	#19099315	C₂²	1	8	yes	complemented
22	#19099310	C₂²	1	8	yes	complemented
23	#19099307	C₂²	1	8	yes	complemented
24	#19099301	C₂²	1	8	yes	complemented
25	#19099295	C₂²	1	8	yes	complemented
26	#19099271	C₂²	1	8	yes	complemented
27	#19099270	C₂²	1	8	yes	complemented
28	#19099265	C₂²	1	8	yes	complemented
29	#19099265	C₂²	1	8	yes	complemented
30	#19099264	C₂²	1	8	yes	complemented
31	#19099259	C₂²	1	8	yes	complemented
32	#19099255	C₂²	1	8	yes	complemented
33	#19099255	C₂²	1	8	yes	complemented
34	#19099253	C₂²	1	8	yes	complemented
35	#19099246	C₂²	1	8	yes	complemented
36	#19099242	C₂²	1	8	yes	complemented
37	#19099240	C₂²	1	8	yes	complemented
38	#19099240	C₂²	1	8	yes	complemented
39	#19099239	C₂²	1	8	yes	complemented
40	#19099239	C₂²	1	8	yes	complemented
41	#19099237	C₂²	1	8	yes	complemented
42	#19099236	C₂²	1	8	yes	complemented
43	#19099236	C₂²	1	8	yes	complemented
44	#19099217	C₂²	1	8	yes	complemented
45	#19099217	C₂²	1	8	yes	complemented
46	#19099213	C₂²	1	8	yes	complemented
47	#19099211	C₂²	1	8	yes	complemented
48	#19099208	C₂²	1	8	yes	complemented
49	#19099208	C₂²	1	8	yes	complemented
50	#19099205	C₂²	1	8	yes	complemented
51	#19099203	C₂²	1	8	yes	complemented
52	#19099203	C₂²	1	8	yes	complemented
53	#19099202	C₂²	1	8	yes	complemented
54	#19099201	C₂²	1	8	yes	complemented
55	#19099200	C₂²	1	8	yes	complemented
56	#19099200	C₂²	1	8	yes	complemented
57	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
58	#19099195	C₂²	1	8	yes	complemented
59	#19099191	C₂²	1	4	yes	complemented
60	#19099189	C₂²	1	1	yes	characteristic, complemented
61	#19099188	C₂²	1	4	yes	complemented
62	#19099182	C₂²	1	8	yes	complemented
63	#19099179	C₂²	1	8	yes	complemented
64	#19099166	C₂²	1	8	yes	complemented
65	#19099165	C₂²	1	8	yes	complemented
66	#19099162	C₂²	1	8	yes	complemented
67	#19099157	C₂²	1	8	yes	complemented
68	#19099157	C₂²	1	8	yes	complemented
69	#19099157	C₂²	1	8	yes	complemented
70	#19099155	C₂²	1	8	yes	complemented
71	#19099154	C₂²	1	8	yes	complemented
72	#19099153	C₂²	1	4	yes	complemented
73	#19099151	C₂²	1	4	yes	complemented
74	#19099150	C₂²	1	4	yes	complemented
75	#19099150	C₂²	1	8	yes	complemented
76	#19099147	C₂²	1	8	yes	complemented
77	#19099146	C₂²	1	8	yes	complemented
78	#19099141	C₂²	1	4	yes	complemented
79	#19099139	C₂²	1	4	yes	complemented
80	#19099135	C₂²	1	4	yes	complemented
81	#19099128	C₂²	1	4	yes	complemented
82	#19099125	C₂²	1	2	yes	—
83	#19099125	C₂²	1	1	yes	characteristic, complemented
84	#19099125	C₂²	1	4	yes	complemented
85	#19099123	C₂²	1	4	yes	complemented
86	#19099123	C₂²	1	4	yes	complemented
87	#19099122	C₂²	1	2	yes	—
88	#19099121	C₂²	1	4	yes	complemented
89	#19099099	C₂²	1	8	yes	complemented
90	#19099093	C₂²	1	8	yes	complemented
91	#19099075	C₂²	1	4	yes	complemented
92	#19099074	C₂²	1	4	yes	complemented
93	#19099069	C₂²	1	4	yes	complemented
94	#19099069	C₂²	1	8	yes	complemented
95	#19099069	C₂²	1	8	yes	complemented
96	#19099069	C₂²	1	4	yes	complemented
97	#19099069	C₂²	1	8	yes	complemented
98	#19099069	C₂²	1	8	yes	complemented
99	C₂×#14579145	C₂²	1	2	yes	complemented
100	C₂×#14579145	C₂²	1	2	yes	complemented
101	C₂×#14579145	C₂²	1	4	yes	complemented
102	C₂×#14579145	C₂²	1	8	yes	complemented
103	C₂×#14579145	C₂²	1	8	yes	complemented
104	C₂×#14579145	C₂²	1	2	yes	complemented
105	C₂×#14579145	C₂²	1	4	yes	complemented
106	C₂×#14579142	C₂²	1	2	yes	complemented
107	#123×D₇₉	C₂²	1	4	yes	complemented
108	C₂×#14579138	C₂²	1	4	yes	complemented
109	C₂×#14579133	C₂²	1	4	yes	complemented
110	C₂×#14579130	C₂²	1	2	yes	complemented
111	#120×D₇₉	C₂²	1	4	yes	complemented
112	#19099046	C₂²	1	4	yes	complemented
113	#19099043	C₂²	1	4	yes	complemented
114	#19099036	C₂²	1	2	yes	complemented
115	#19099036	C₂²	1	2	yes	complemented
116	#19099035	C₂²	1	8	yes	complemented
117	C₂×D₄×Dic₇₉	C₂²	1	4	yes	complemented
118	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	4	yes	complemented
119	C₂×#14579117	C₂²	1	2	yes	complemented
120	C₂²×C₄⋊Dic₇₉	C₂²	1	2	yes	complemented
121	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
122	#551×C₇₉	C₂²	1	8	yes	complemented
123	#546×C₇₉	C₂²	1	8	yes	complemented
124	#543×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#538×C₇₉	C₂²	1	4	yes	complemented
126	#534×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#525×C₇₉	C₂²	1	4	yes	complemented
128	C₂×#120×C₇₉	C₂²	1	2	yes	complemented
129	#518×C₇₉	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
132	#14579206	—	4	8	no	—
133	C₂×#11929624	C₂³	1	4	yes	—
134	C₂×#11929624	C₂³	1	4	yes	—
135	C₂×#11929623	—	4	8	no	—
136	C₂×#11929623	C₂³	1	4	yes	—
137	C₂×#11929623	C₂³	1	4	yes	—
138	C₂×#11929623	C₂³	1	8	yes	—
139	C₂×#11929623	C₂³	1	8	yes	complemented
140	C₂²×Dic₁₅₈	C₂³	1	2	yes	complemented
141	C₂²×C₂²⋊D₇₉	—	4	4	no	—
142	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
145	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
146	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
147	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	complemented
149	C₂×D₄×D₇₉	C₂³	1	4	yes	—
150	C₂×D₄×D₇₉	C₂³	1	4	yes	—
151	C₂×D₄×D₇₉	C₂³	1	8	yes	—
152	C₂³×Dic₇₉	—	4	4	no	—
153	C₂³×Dic₇₉	C₂³	1	2	yes	—
154	C₂³×Dic₇₉	C₂³	1	2	yes	—
155	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
156	C₂³×Dic₇₉	C₂³	1	4	yes	—
157	C₂³×Dic₇₉	C₂³	1	4	yes	—
158	C₂³×Dic₇₉	C₂³	1	2	yes	—
159	C₂³×Dic₇₉	C₂³	1	2	yes	complemented
160	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
161	#14579161	C₂³	1	8	yes	complemented
162	#14579160	C₂³	1	8	yes	complemented
163	#14579157	C₂³	1	8	yes	—
164	#14579156	C₂³	1	8	yes	complemented
165	#14579156	C₂³	1	8	yes	complemented
166	#14579156	C₂³	1	8	yes	complemented
167	#14579156	C₂³	1	8	yes	complemented
168	#14579156	C₂³	1	8	yes	complemented
169	#14579155	C₂³	1	8	yes	complemented
170	#14579154	C₂³	1	8	yes	complemented
171	#14579154	C₂³	1	8	yes	complemented
172	#14579154	C₂³	1	8	yes	complemented
173	#14579153	C₂³	1	8	yes	complemented
174	#14579152	C₂³	1	8	yes	complemented
175	#14579152	C₂³	1	8	yes	complemented
176	#14579152	C₂³	1	8	yes	complemented
177	#14579151	C₂³	1	8	yes	complemented
178	#14579151	C₂³	1	8	yes	complemented
179	#14579150	C₂³	1	8	yes	complemented
180	#14579149	C₂³	1	8	yes	complemented
181	#14579147	C₂³	1	8	yes	—
182	#14579147	C₂³	1	8	yes	complemented
183	#14579147	C₂³	1	8	yes	complemented
184	#14579147	C₂³	1	8	yes	complemented
185	#14579146	C₂³	1	8	yes	complemented
186	#14579146	C₂³	1	8	yes	complemented
187	#14579146	C₂³	1	8	yes	complemented
188	#14579145	C₂³	1	4	yes	—
189	#14579145	C₂³	1	4	yes	—
190	#14579145	C₂³	1	8	yes	—
191	#14579145	C₂³	1	8	yes	—
192	#14579145	C₂³	1	4	yes	—
193	#14579145	C₂³	1	8	yes	—
194	#14579145	C₂³	1	8	yes	—
195	#14579145	C₂³	1	8	yes	—
196	#14579145	C₂³	1	4	yes	—
197	#14579145	C₂³	1	8	yes	—
198	#14579145	C₂³	1	8	yes	—
199	#14579145	C₂³	1	4	yes	—
200	#14579145	C₂³	1	4	yes	—
201	#14579145	C₂³	1	4	yes	complemented
202	#14579145	C₂³	1	4	yes	complemented
203	#14579145	C₂³	1	8	yes	complemented
204	#14579145	C₂³	1	8	yes	complemented
205	#14579145	C₂³	1	8	yes	complemented
206	#14579145	C₂³	1	4	yes	complemented
207	#14579144	C₂³	1	8	yes	—
208	#14579144	C₂³	1	4	yes	—
209	#14579144	C₂³	1	8	yes	complemented
210	#14579143	C₂³	1	8	yes	—
211	#14579143	C₂³	1	8	yes	complemented
212	#14579143	C₂³	1	8	yes	complemented
213	#14579143	C₂³	1	8	yes	complemented
214	#14579143	C₂³	1	8	yes	complemented
215	#14579142	C₂³	1	8	yes	—
216	#14579142	C₂³	1	4	yes	—
217	#14579142	C₂³	1	4	yes	complemented
218	#14579142	C₂³	1	4	yes	complemented
219	#14579141	C₂³	1	8	yes	complemented
220	#14579141	C₂³	1	8	yes	complemented
221	#14579141	C₂³	1	8	yes	complemented
222	#14579140	C₂³	1	4	yes	—
223	#14579140	C₂³	1	4	yes	—
224	#14579140	C₂³	1	8	yes	complemented
225	#14579139	C₂³	1	8	yes	complemented
226	#14579139	C₂³	1	8	yes	complemented
227	#14579138	C₂³	1	8	yes	—
228	#14579138	C₂³	1	8	yes	—
229	#14579138	C₂³	1	8	yes	—
230	#14579138	C₂³	1	8	yes	complemented
231	#14579138	C₂³	1	8	yes	complemented
232	#14579138	C₂³	1	8	yes	complemented
233	#14579138	C₂³	1	8	yes	complemented
234	#14579138	C₂³	1	8	yes	complemented
235	#14579137	C₂³	1	8	yes	complemented
236	#14579137	C₂³	1	8	yes	complemented
237	#14579136	C₂³	1	8	yes	complemented
238	#14579135	C₂³	1	4	yes	—
239	#14579135	C₂³	1	4	yes	—
240	#14579135	C₂³	1	8	yes	—
241	#14579135	C₂³	1	8	yes	complemented
242	#14579135	C₂³	1	8	yes	complemented
243	#14579134	C₂³	1	8	yes	—
244	#14579134	C₂³	1	8	yes	—
245	#14579134	C₂³	1	8	yes	complemented
246	#14579134	C₂³	1	8	yes	complemented
247	#14579133	C₂³	1	8	yes	—
248	#14579133	C₂³	1	8	yes	—
249	#14579133	C₂³	1	8	yes	—
250	#14579133	C₂³	1	8	yes	—
251	#14579133	C₂³	1	8	yes	—
252	#14579133	C₂³	1	8	yes	complemented
253	#14579133	C₂³	1	8	yes	complemented
254	#14579133	C₂³	1	8	yes	complemented
255	#14579132	C₂³	1	8	yes	—
256	#14579132	C₂³	1	8	yes	complemented
257	#14579131	C₂³	1	8	yes	—
258	#14579131	C₂³	1	4	yes	—
259	#14579131	C₂³	1	4	yes	—
260	#14579131	C₂³	1	8	yes	complemented
261	#14579131	C₂³	1	4	yes	complemented
262	#14579130	C₂³	1	4	yes	—
263	#14579130	C₂³	1	4	yes	—
264	#14579130	C₂³	1	8	yes	—
265	#14579130	C₂³	1	4	yes	—
266	#14579129	C₂³	1	8	yes	—
267	#14579129	C₂³	1	8	yes	—
268	#14579129	C₂³	1	4	yes	—
269	#14579129	C₂³	1	8	yes	complemented
270	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
271	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
272	C₄×D₃₁₆	C₂³	1	8	yes	complemented
273	C₄×D₃₁₆	C₂³	1	8	yes	complemented
274	D₄×Dic₇₉	C₂³	1	8	yes	—
275	D₄×Dic₇₉	C₂³	1	8	yes	—
276	D₄×Dic₇₉	C₂³	1	8	yes	—
277	D₄×Dic₇₉	C₂³	1	8	yes	complemented
278	D₄×Dic₇₉	C₂³	1	8	yes	complemented
279	D₄×Dic₇₉	C₂³	1	8	yes	complemented
280	#14579123	C₂³	1	8	yes	complemented
281	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
282	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
283	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
284	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
285	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
286	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
288	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
289	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
290	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
291	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
292	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
293	#14579120	C₂³	1	4	yes	—
294	#14579120	C₂³	1	8	yes	complemented
295	#14579119	C₂³	1	8	yes	complemented
296	#14579119	C₂³	1	8	yes	complemented
297	#14579118	C₂³	1	8	yes	complemented
298	#14579117	C₂³	1	8	yes	—
299	#14579117	C₂³	1	4	yes	—
300	#14579117	C₂³	1	4	yes	complemented
301	#14579117	C₂³	1	8	yes	complemented
302	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
303	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
304	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
305	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
306	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	—
307	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
308	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	complemented
309	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
310	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
311	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
312	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
313	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
314	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	complemented
315	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
316	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
317	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
318	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
319	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
320	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
321	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
322	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
323	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
324	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
325	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	complemented
326	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
327	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
328	C₂×#41×C₇₉	C₂³	1	4	yes	—
329	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
330	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
331	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
332	#126×C₇₉	C₂³	1	8	yes	complemented
333	#124×C₇₉	C₂³	1	8	yes	complemented
334	#123×C₇₉	C₂³	1	8	yes	—
335	#123×C₇₉	C₂³	1	8	yes	complemented
336	#123×C₇₉	C₂³	1	4	yes	complemented
337	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
338	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
340	#121×C₇₉	C₂³	1	4	yes	—
341	#121×C₇₉	C₂³	1	4	yes	—
342	#121×C₇₉	C₂³	1	8	yes	complemented
343	#120×C₇₉	C₂³	1	8	yes	—
344	#120×C₇₉	C₂³	1	4	yes	—
345	#120×C₇₉	C₂³	1	4	yes	—
346	#120×C₇₉	C₂³	1	4	yes	complemented
347	C₄×D₄×C₇₉	C₂³	1	8	yes	—
348	C₄×D₄×C₇₉	C₂³	1	8	yes	—
349	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
350	#117×C₇₉	C₂³	1	4	yes	—
351	#117×C₇₉	C₂³	1	4	yes	complemented
352	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
355	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
356	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
358	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
359	C₂³×D₇₉	—	4	4	no	—
360	C₂³×D₇₉	—	4	2	no	—
361	C₂³×D₇₉	C₂⁴	1	2	yes	—
362	C₂³×D₇₉	C₂⁴	1	4	yes	—
363	C₂³×D₇₉	C₂⁴	1	2	yes	—
364	C₂³×D₇₉	C₂⁴	1	4	yes	—
365	#11929624	—	4	8	no	—
366	#11929624	—	4	8	no	—
367	#11929623	—	4	16	no	—
368	#11929623	—	4	16	no	—
369	#11929623	—	4	8	no	—
370	#11929623	—	4	8	no	—
371	C₂×Dic₁₅₈	—	4	4	no	—
372	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
373	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
374	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
375	C₂×D₃₁₆	C₂⁴	1	4	yes	—
376	C₂×D₃₁₆	C₂⁴	1	4	yes	—
377	C₂×D₃₁₆	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₇₉	—	2	8	no	—
379	C₂×C₂²⋊D₇₉	—	2	8	no	—
380	C₂×C₂²⋊D₇₉	—	4	8	no	—
381	C₂×C₂²⋊D₇₉	—	4	16	no	—
382	C₂×C₂²⋊D₇₉	—	4	8	no	—
383	C₂×C₂²⋊D₇₉	—	4	4	no	—
384	C₂×C₂²⋊D₇₉	—	4	4	no	—
385	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
386	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
387	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
388	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
390	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
392	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
393	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
395	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
396	D₄×D₇₉	—	4	8	no	—
397	D₄×D₇₉	—	4	8	no	—
398	D₄×D₇₉	—	4	16	no	—
399	C₂²×Dic₇₉	—	2	8	no	—
400	C₂²×Dic₇₉	—	4	4	no	—
401	C₂²×Dic₇₉	—	4	4	no	—
402	C₂²×Dic₇₉	—	4	8	no	—
403	C₂²×Dic₇₉	—	4	8	no	—
404	C₂²×Dic₇₉	—	4	4	no	—
405	C₂²×Dic₇₉	—	4	2	no	—
406	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
407	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
408	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
409	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
410	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
411	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
412	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
413	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
414	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
415	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
416	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
417	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
418	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
419	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
420	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
421	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
422	C₂×C₄×D₇₉	—	4	4	no	—
423	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
424	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
425	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
426	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
427	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
428	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
429	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
430	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
432	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
433	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
434	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
435	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
436	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
438	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
439	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
440	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
441	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
442	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
443	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
444	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
446	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
448	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
452	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
455	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
456	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
464	C₄×Dic₇₉	C₂⁴	1	8	yes	—
465	C₄×Dic₇₉	C₂⁴	1	8	yes	—
466	C₄×Dic₇₉	C₂⁴	1	8	yes	—
467	C₄×Dic₇₉	C₂⁴	1	8	yes	—
468	C₂⁴×C₇₉	—	2	4	no	—
469	C₂⁴×C₇₉	—	4	4	no	—
470	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
472	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
473	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
474	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
475	#41×C₇₉	—	4	8	no	—
476	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
477	C₂×D₄×C₇₉	—	2	8	no	—
478	C₂×D₄×C₇₉	—	4	8	no	—
479	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
480	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
481	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
482	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
483	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₇₉	—	4	4	no	—
485	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
486	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
492	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
495	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
497	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
498	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
504	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
505	C₄²×C₇₉	C₂⁴	1	8	yes	—
506	C₂³×C₇₉	—	2	2	no	—
507	C₂³×C₇₉	—	2	4	no	—
508	C₂³×C₇₉	—	2	8	no	—
509	C₂³×C₇₉	—	2	2	no	—
510	C₂³×C₇₉	—	2	8	no	—
511	C₂³×C₇₉	—	2	4	no	—
512	C₂³×C₇₉	—	4	2	no	—
513	C₂³×C₇₉	—	4	4	no	—
514	C₂³×C₇₉	—	4	2	no	—
515	C₂³×C₇₉	—	4	4	no	—
516	C₂³×C₇₉	—	4	16	no	—
517	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
518	C₂³×C₇₉	C₂⁵	1	4	yes	—
519	C₂³×C₇₉	C₂⁵	1	2	yes	—
520	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
521	C₂³×C₇₉	C₂⁵	1	2	yes	—
522	C₂³×C₇₉	C₂⁵	1	2	yes	—
523	C₂²×D₇₉	—	2	4	no	—
524	C₂²×D₇₉	—	2	4	no	—
525	C₂²×D₇₉	—	2	8	no	—
526	C₂²×D₇₉	—	4	4	no	—
527	C₂²×D₇₉	—	4	4	no	—
528	C₂²×D₇₉	—	4	4	no	—
529	C₂²×D₇₉	—	4	4	no	—
530	C₂²×D₇₉	—	4	4	no	—
531	C₂²×D₇₉	—	4	8	no	—
532	C₂²×D₇₉	—	8	8	no	—
533	C₂²×D₇₉	C₂⁵	1	4	yes	—
534	C₂²×D₇₉	C₂⁵	1	4	yes	—
535	Q₈×C₇₉	—	4	4	no	—
536	D₄×C₇₉	—	2	8	no	—
537	D₄×C₇₉	—	2	8	no	—
538	D₄×C₇₉	—	2	16	no	—
539	D₄×C₇₉	—	4	8	no	—
540	D₄×C₇₉	—	4	4	no	—
541	C₂×C₄×C₇₉	—	2	4	no	—
542	C₂×C₄×C₇₉	—	2	8	no	—
543	C₂×C₄×C₇₉	—	4	2	no	—
544	C₂×C₄×C₇₉	—	4	4	no	—
545	C₂×C₄×C₇₉	—	4	2	no	—
546	C₂×C₄×C₇₉	—	4	4	no	—
547	C₂×C₄×C₇₉	—	4	8	no	—
548	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
549	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
550	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
551	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
552	C₂²⋊D₇₉	—	2	8	no	—
553	C₂²⋊D₇₉	—	2	8	no	—
554	C₂²⋊D₇₉	—	2	8	no	—
555	C₂²⋊D₇₉	—	2	8	no	—
556	C₂²⋊D₇₉	—	2	16	no	—
557	C₂²⋊D₇₉	—	4	4	no	—
558	C₂²⋊D₇₉	—	4	4	no	—
559	C₂²⋊D₇₉	—	4	8	no	—
560	C₂²⋊D₇₉	—	4	8	no	—
561	C₂²⋊D₇₉	—	4	8	no	—
562	C₂²⋊D₇₉	—	4	8	no	—
563	C₂×Dic₇₉	—	2	4	no	—
564	C₂×Dic₇₉	—	2	4	no	—
565	C₂×Dic₇₉	—	2	8	no	—
566	C₂×Dic₇₉	—	2	8	no	—
567	C₂×Dic₇₉	—	2	4	no	—
568	C₂×Dic₇₉	—	2	4	no	—
569	C₂×Dic₇₉	—	4	2	no	—
570	C₂×Dic₇₉	—	4	2	no	—
571	C₂×Dic₇₉	—	4	4	no	—
572	C₂×Dic₇₉	—	4	4	no	—
573	C₂×Dic₇₉	—	4	2	no	—
574	C₂×Dic₇₉	—	4	2	no	—
575	C₂×Dic₇₉	—	4	4	no	—
576	C₂×Dic₇₉	—	4	8	no	—
577	C₂×Dic₇₉	—	4	4	no	—
578	C₂×Dic₇₉	—	4	4	no	—
579	C₂×Dic₇₉	C₂⁵	1	4	yes	—
580	C₂×Dic₇₉	C₂⁵	1	8	yes	—
581	C₂×Dic₇₉	C₂⁵	1	4	yes	—
582	C₂×Dic₇₉	C₂⁵	1	4	yes	—
583	C₂×Dic₇₉	C₂⁵	1	4	yes	—
584	D₃₁₆	—	4	4	no	—
585	D₃₁₆	—	4	8	no	—
586	D₃₁₆	—	4	4	no	—
587	C₄×D₇₉	—	4	8	no	—
588	C₄×D₇₉	—	4	8	no	—
589	C₄×D₇₉	—	4	4	no	—
590	C₄×D₇₉	—	4	4	no	—
591	C₄×D₇₉	—	4	8	no	—
592	Dic₁₅₈	—	4	8	no	—
593	Dic₁₅₈	—	4	4	no	—
594	Dic₁₅₈	—	4	4	no	—
595	C₂²×C₇₉	—	2	8	no	—
596	C₂²×C₇₉	—	2	2	no	—
597	C₂²×C₇₉	—	2	2	no	—
598	C₂²×C₇₉	—	2	2	no	—
599	C₂²×C₇₉	—	2	4	no	—
600	C₂²×C₇₉	—	2	4	no	—
601	C₂²×C₇₉	—	2	2	no	—
602	C₂²×C₇₉	—	2	4	no	—
603	C₂²×C₇₉	—	2	8	no	—
604	C₂²×C₇₉	—	4	4	no	—
605	C₂²×C₇₉	—	4	16	no	—
606	C₂²×C₇₉	—	4	4	no	—
607	C₂²×C₇₉	—	8	4	no	—
608	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
609	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
610	C₂²×C₇₉	#585	1	4	yes	—
611	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
612	C₂×D₇₉	—	2	4	no	—
613	C₂×D₇₉	—	2	4	no	—
614	C₂×D₇₉	—	2	8	no	—
615	C₂×D₇₉	—	2	8	no	—
616	C₂×D₇₉	—	8	4	no	—
617	C₂×D₇₉	—	8	4	no	—
618	C₂×D₇₉	—	8	8	no	—
619	C₂×D₇₉	—	16	4	no	—
620	C₄×C₇₉	—	2	4	no	—
621	C₄×C₇₉	—	2	4	no	—
622	C₄×C₇₉	—	2	4	no	—
623	C₄×C₇₉	—	2	8	no	—
624	Dic₇₉	—	2	4	no	—
625	Dic₇₉	—	2	4	no	—
626	Dic₇₉	—	2	4	no	—
627	Dic₇₉	—	2	4	no	—
628	Dic₇₉	—	2	8	no	—
629	#62820	—	79	1	no	maximal, Sylow
630	C₂×C₇₉	—	2	2	no	—
631	C₂×C₇₉	—	2	4	no	—
632	C₂×C₇₉	—	2	4	no	—
633	C₂×C₇₉	—	4	4	no	—
634	C₂×C₇₉	—	4	2	no	—
635	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
636	C₂×C₇₉	C₂×#585	1	2	yes	—
637	D₇₉	—	4	4	no	—
638	D₇₉	—	4	4	no	—
639	#3535	—	79	8	no	—
640	#3534	—	79	8	no	—
641	#3533	—	79	8	no	—
642	#3513	—	79	8	no	—
643	#3513	—	79	8	no	—
644	#3492	—	79	4	no	—
645	#3491	—	79	2	no	—
646	#3491	—	79	2	no	—
647	#3490	—	79	4	no	—
648	#3490	—	79	1	no	—
649	#3490	D₇₉	1	1	yes	characteristic, complemented
650	#3485	—	79	2	no	—
651	#3485	—	79	2	no	—
652	#3484	—	79	2	no	—
653	C₂×#525	—	79	2	no	—
654	C₂²×#123	—	79	1	no	—
655	C₇₉	#62820	1	1	yes	characteristic, complemented, Sylow
656	C₂×H(5,𝔽₂)	—	79	2	no	—
657	C₂²×#41	—	79	2	no	—
658	C₂³×D₄	—	79	1	no	—
659	C₂⁴×C₄	—	79	1	no	—
660	#563	—	79	8	no	—
661	#562	—	79	8	no	—
662	#562	—	79	8	no	—
663	#560	—	79	8	no	—
664	#559	—	79	8	no	—
665	#554	—	79	8	no	—
666	#554	—	79	8	no	—
667	#553	—	79	8	no	—
668	#553	—	79	8	no	—
669	#553	—	79	8	no	—
670	#553	—	79	8	no	—
671	#552	—	79	8	no	—
672	#552	—	79	8	no	—
673	#552	—	79	8	no	—
674	#552	—	79	8	no	—
675	#551	—	79	8	no	—
676	#551	—	79	8	no	—
677	#551	—	79	8	no	—
678	#551	—	79	8	no	—
679	#551	—	79	8	no	—
680	#551	—	79	8	no	—
681	#551	—	79	8	no	—
682	#551	—	79	8	no	—
683	#551	C₂×D₇₉	1	8	yes	complemented
684	#547	—	79	8	no	—
685	#547	—	79	8	no	—
686	#547	—	79	8	no	—
687	#547	—	79	8	no	—
688	#546	—	79	8	no	—
689	#546	—	79	8	no	—
690	#546	—	79	8	no	—
691	#546	—	79	8	no	—
692	#546	—	79	8	no	—
693	#546	—	79	8	no	—
694	#546	—	79	8	no	—
695	#546	—	79	8	no	—
696	#546	—	79	8	no	—
697	#546	C₂×D₇₉	1	8	yes	complemented
698	D₄²	—	79	8	no	—
699	D₄²	—	79	8	no	—
700	#544	—	79	4	no	—
701	#543	—	79	4	no	—
702	#543	—	79	1	no	—
703	#543	C₂×D₇₉	1	1	yes	characteristic, complemented
704	#542	—	79	8	no	—
705	#542	—	79	8	no	—
706	#540	—	79	8	no	—
707	#540	—	79	8	no	—
708	#539	—	79	8	no	—
709	#539	—	79	8	no	—
710	#539	—	79	8	no	—
711	#539	—	79	8	no	—
712	#539	—	79	8	no	—
713	#539	—	79	8	no	—
714	#538	—	79	8	no	—
715	#538	—	79	4	no	—
716	#538	—	79	4	no	—
717	#538	—	79	8	no	—
718	#538	—	79	8	no	—
719	#538	—	79	4	no	—
720	#538	C₂×D₇₉	1	4	yes	complemented
721	#537	—	79	4	no	—
722	#536	—	79	4	no	—
723	#536	—	79	4	no	—
724	#535	—	79	4	no	—
725	#534	—	79	2	no	—
726	#534	—	79	4	no	—
727	#534	—	79	4	no	—
728	#534	—	79	4	no	—
729	#534	—	79	2	no	—
730	#534	—	79	1	no	—
731	#534	—	79	4	no	—
732	#534	C₂×D₇₉	1	1	yes	characteristic, complemented
733	#529	—	79	8	no	—
734	#529	—	79	8	no	—
735	#525	—	79	4	no	—
736	#525	—	79	8	no	—
737	#525	—	79	8	no	—
738	#525	—	79	8	no	—
739	#525	—	79	8	no	—
740	#525	—	79	4	no	—
741	#525	—	79	4	no	—
742	#525	—	79	4	no	—
743	#525	C₂×D₇₉	1	4	yes	complemented
744	C₂×#123	—	79	2	no	—
745	C₂×#123	—	79	4	no	—
746	C₂×#123	—	79	2	no	—
747	C₂×#123	—	79	2	no	—
748	C₂×#123	—	79	8	no	—
749	C₂×#123	—	79	4	no	—
750	C₂×#123	—	79	8	no	—
751	C₂×#123	—	79	2	no	—
752	C₂×#123	—	79	4	no	—
753	C₂×C₂²⋊Q₈	—	79	4	no	—
754	C₂×#121	—	79	4	no	—
755	C₂×#120	—	79	2	no	—
756	C₂×#120	—	79	4	no	—
757	C₂×#120	C₂×D₇₉	1	2	yes	complemented
758	#520	—	79	4	no	—
759	#520	—	79	4	no	—
760	#518	—	79	8	no	—
761	#518	—	79	2	no	—
762	#518	—	79	2	no	—
763	#518	C₂×D₇₉	1	2	yes	complemented
764	C₂×C₄×D₄	—	79	4	no	—
765	C₂×C₄×D₄	—	79	4	no	—
766	C₂×#117	—	79	2	no	—
767	C₂²×C₄⋊C₄	—	79	2	no	—
768	C₂²×C₂²⋊C₄	—	79	2	no	—
769	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
770	C₂⁵	—	79	1	no	—
771	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
772	H(5,𝔽₂)	—	316	8	no	—
773	C₂×#41	—	316	8	no	—
774	C₂×#41	—	79	8	no	—
775	C₂×#41	—	79	4	no	—
776	C₂×#41	—	79	4	no	—
777	C₂×#41	—	79	8	no	—
778	C₂×#41	—	79	4	no	—
779	C₂×#41	—	79	4	no	—
780	C₂×#41	C₂²×D₇₉	1	4	yes	—
781	C₂²×Q₈	—	79	2	no	—
782	C₂²×D₄	—	316	4	no	—
783	C₂²×D₄	—	79	4	no	—
784	C₂²×D₄	—	79	2	no	—
785	C₂²×D₄	—	79	2	no	—
786	C₂²×D₄	—	79	8	no	—
787	C₂²×D₄	—	79	4	no	—
788	C₂²×D₄	—	79	8	no	—
789	C₂²×D₄	—	79	4	no	—
790	C₂²×D₄	—	79	4	no	—
791	C₂²×D₄	—	79	2	no	—
792	C₂²×D₄	—	79	2	no	—
793	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
794	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
795	C₂³×C₄	—	316	4	no	—
796	C₂³×C₄	—	79	2	no	—
797	C₂³×C₄	—	79	1	no	—
798	C₂³×C₄	—	79	4	no	—
799	C₂³×C₄	—	79	2	no	—
800	C₂³×C₄	—	79	4	no	—
801	C₂³×C₄	—	79	2	no	—
802	C₂³×C₄	—	79	2	no	—
803	C₂³×C₄	—	79	2	no	—
804	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
805	C₄⋊Q₈	—	79	8	no	—
806	C₄⋊Q₈	—	79	8	no	—
807	#127	—	79	8	no	—
808	#126	—	79	8	no	—
809	#126	—	79	8	no	—
810	#126	—	79	8	no	—
811	#126	—	79	8	no	—
812	#126	—	79	8	no	—
813	#126	—	79	8	no	—
814	#126	—	79	8	no	—
815	#126	—	79	8	no	—
816	#126	—	79	8	no	—
817	#126	C₂²×D₇₉	1	8	yes	complemented
818	#125	—	79	8	no	—
819	#125	—	79	8	no	—
820	#125	—	79	8	no	—
821	#125	—	79	8	no	—
822	#125	—	79	8	no	—
823	#125	—	79	8	no	—
824	#124	—	79	8	no	—
825	#124	—	79	8	no	—
826	#124	—	79	8	no	—
827	#124	—	79	8	no	—
828	#124	—	79	8	no	—
829	#124	—	79	8	no	—
830	#124	C₂²×D₇₉	1	8	yes	complemented
831	#123	—	79	4	no	—
832	#123	—	79	4	no	—
833	#123	—	79	8	no	—
834	#123	—	79	4	no	—
835	#123	—	79	4	no	—
836	#123	—	79	8	no	—
837	#123	—	79	8	no	—
838	#123	—	79	8	no	—
839	#123	—	79	8	no	—
840	#123	—	79	8	no	—
841	#123	—	79	4	no	—
842	#123	—	79	4	no	—
843	#123	—	79	4	no	—
844	#123	—	79	4	no	—
845	#123	—	79	8	no	—
846	#123	—	79	8	no	—
847	#123	—	79	8	no	—
848	#123	—	79	8	no	—
849	#123	—	79	8	no	—
850	#123	—	79	8	no	—
851	#123	—	79	4	no	—
852	#123	—	79	4	no	—
853	#123	—	79	8	no	—
854	#123	—	79	4	no	—
855	#123	—	79	4	no	—
856	#123	—	79	8	no	—
857	#123	—	79	8	no	—
858	#123	—	79	8	no	—
859	#123	—	79	4	no	—
860	#123	—	79	8	no	—
861	#123	—	79	8	no	—
862	#123	—	79	8	no	—
863	#123	—	79	8	no	—
864	#123	—	79	8	no	—
865	#123	C₂²×D₇₉	1	8	yes	—
866	#123	C₂²×D₇₉	1	4	yes	complemented
867	#123	C₂²×D₇₉	1	8	yes	complemented
868	C₂²⋊Q₈	—	79	8	no	—
869	C₂²⋊Q₈	—	79	8	no	—
870	C₂²⋊Q₈	—	79	4	no	—
871	C₂²⋊Q₈	—	79	4	no	—
872	C₂²⋊Q₈	—	79	8	no	—
873	C₂²⋊Q₈	—	79	8	no	—
874	C₂²⋊Q₈	—	79	8	no	—
875	C₂²⋊Q₈	—	79	8	no	—
876	C₂²⋊Q₈	—	79	8	no	—
877	C₂²⋊Q₈	—	79	8	no	—
878	C₂²⋊Q₈	—	79	8	no	—
879	C₂²⋊Q₈	—	79	8	no	—
880	C₂²⋊Q₈	—	79	8	no	—
881	C₂²⋊Q₈	—	79	8	no	—
882	C₂²⋊Q₈	—	79	8	no	—
883	C₂²⋊Q₈	—	79	8	no	—
884	C₂²⋊Q₈	—	79	8	no	—
885	C₂²⋊Q₈	—	79	8	no	—
886	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
887	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
888	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
889	#121	—	79	8	no	—
890	#121	—	79	8	no	—
891	#121	—	79	8	no	—
892	#121	—	79	8	no	—
893	#121	—	79	8	no	—
894	#121	—	79	8	no	—
895	#121	—	79	8	no	—
896	#121	—	79	8	no	—
897	#121	—	79	8	no	—
898	#121	—	79	8	no	—
899	#121	—	79	4	no	—
900	#121	—	79	4	no	—
901	#121	—	79	8	no	—
902	#121	—	79	8	no	—
903	#121	—	79	8	no	—
904	#121	—	79	8	no	—
905	#121	—	79	8	no	—
906	#121	—	79	8	no	—
907	#121	—	79	8	no	—
908	#121	—	79	8	no	—
909	#121	C₂²×D₇₉	1	4	yes	—
910	#121	C₂²×D₇₉	1	4	yes	—
911	#121	C₂²×D₇₉	1	8	yes	complemented
912	#120	—	79	4	no	—
913	#120	—	79	4	no	—
914	#120	—	79	8	no	—
915	#120	—	79	4	no	—
916	#120	—	79	4	no	—
917	#120	—	79	8	no	—
918	#120	—	79	8	no	—
919	#120	—	79	8	no	—
920	#120	—	79	4	no	—
921	#120	—	79	8	no	—
922	#120	—	79	4	no	—
923	#120	—	79	4	no	—
924	#120	—	79	8	no	—
925	#120	C₂²×D₇₉	1	4	yes	—
926	#120	C₂²×D₇₉	1	4	yes	—
927	#120	C₂²×D₇₉	1	8	yes	—
928	#120	C₂²×D₇₉	1	4	yes	complemented
929	C₄×Q₈	—	79	8	no	—
930	C₄×Q₈	—	79	8	no	—
931	C₄×D₄	—	79	8	no	—
932	C₄×D₄	—	79	8	no	—
933	C₄×D₄	—	79	8	no	—
934	C₄×D₄	—	79	8	no	—
935	C₄×D₄	—	79	8	no	—
936	C₄×D₄	—	79	8	no	—
937	C₄×D₄	—	79	8	no	—
938	C₄×D₄	—	79	8	no	—
939	C₄×D₄	—	79	8	no	—
940	C₄×D₄	—	79	8	no	—
941	C₄×D₄	—	79	8	no	—
942	C₄×D₄	—	79	8	no	—
943	C₄×D₄	—	79	8	no	—
944	C₄×D₄	—	79	8	no	—
945	C₄×D₄	—	79	8	no	—
946	C₄×D₄	—	79	8	no	—
947	C₄×D₄	—	79	8	no	—
948	C₄×D₄	—	79	8	no	—
949	C₄×D₄	—	79	8	no	—
950	C₄×D₄	—	79	8	no	—
951	C₄×D₄	—	79	8	no	—
952	C₄×D₄	C₂²×D₇₉	1	8	yes	—
953	C₄×D₄	C₂²×D₇₉	1	8	yes	—
954	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
955	#117	—	79	4	no	—
956	#117	—	79	8	no	—
957	#117	—	79	8	no	—
958	#117	—	79	8	no	—
959	#117	—	79	8	no	—
960	#117	—	79	8	no	—
961	#117	—	79	4	no	—
962	#117	—	79	4	no	—
963	#117	—	79	8	no	—
964	#117	C₂²×D₇₉	1	4	yes	—
965	#117	C₂²×D₇₉	1	4	yes	complemented
966	C₂×C₄⋊C₄	—	79	4	no	—
967	C₂×C₄⋊C₄	—	79	4	no	—
968	C₂×C₄⋊C₄	—	79	4	no	—
969	C₂×C₄⋊C₄	—	79	4	no	—
970	C₂×C₄⋊C₄	—	79	8	no	—
971	C₂×C₄⋊C₄	—	79	4	no	—
972	C₂×C₄⋊C₄	—	79	4	no	—
973	C₂×C₄⋊C₄	—	79	4	no	—
974	C₂×C₄⋊C₄	—	79	8	no	—
975	C₂×C₄⋊C₄	—	79	8	no	—
976	C₂×C₂²⋊C₄	—	79	2	no	—
977	C₂×C₂²⋊C₄	—	79	4	no	—
978	C₂×C₂²⋊C₄	—	79	4	no	—
979	C₂×C₂²⋊C₄	—	79	4	no	—
980	C₂×C₂²⋊C₄	—	79	4	no	—
981	C₂×C₂²⋊C₄	—	79	8	no	—
982	C₂×C₂²⋊C₄	—	79	4	no	—
983	C₂×C₂²⋊C₄	—	79	4	no	—
984	C₂×C₂²⋊C₄	—	79	4	no	—
985	C₂×C₂²⋊C₄	—	79	8	no	—
986	C₂×C₂²⋊C₄	—	79	4	no	—
987	C₂×C₂²⋊C₄	—	79	8	no	—
988	C₂×C₂²⋊C₄	—	79	4	no	—
989	C₂×C₂²⋊C₄	—	79	8	no	—
990	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
994	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
996	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
997	C₂×C₄²	—	79	4	no	—
998	C₂⁴	—	2	4	no	—
999	C₂⁴	—	4	4	no	—
1000	C₂⁴	—	316	2	no	—
1001	C₂⁴	—	316	4	no	—
1002	C₂⁴	—	79	4	no	—
1003	C₂⁴	—	79	4	no	—
1004	C₂⁴	—	79	2	no	—
1005	C₂⁴	—	79	2	no	—
1006	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1007	C₂⁴	C₂³×D₇₉	1	4	yes	—
1008	C₂⁴	C₂³×D₇₉	1	2	yes	—
1009	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1010	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1011	#41	—	4	8	no	—
1012	#41	—	316	8	no	—
1013	#41	—	316	8	no	—
1014	#41	—	316	16	no	—
1015	#41	—	316	16	no	—
1016	#41	—	316	8	no	—
1017	#41	—	316	8	no	—
1018	C₂×Q₈	—	316	4	no	—
1019	C₂×Q₈	—	79	4	no	—
1020	C₂×Q₈	—	79	8	no	—
1021	C₂×Q₈	—	79	4	no	—
1022	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1023	C₂×D₄	—	2	8	no	—
1024	C₂×D₄	—	4	8	no	—
1025	C₂×D₄	—	316	16	no	—
1026	C₂×D₄	—	316	8	no	—
1027	C₂×D₄	—	316	8	no	—
1028	C₂×D₄	—	316	16	no	—
1029	C₂×D₄	—	316	8	no	—
1030	C₂×D₄	—	316	8	no	—
1031	C₂×D₄	—	316	4	no	—
1032	C₂×D₄	—	316	4	no	—
1033	C₂×D₄	—	79	8	no	—
1034	C₂×D₄	—	79	8	no	—
1035	C₂×D₄	—	79	8	no	—
1036	C₂×D₄	—	79	4	no	—
1037	C₂×D₄	—	79	8	no	—
1038	C₂×D₄	—	79	4	no	—
1039	C₂×D₄	—	79	8	no	—
1040	C₂×D₄	—	79	4	no	—
1041	C₂×D₄	—	79	4	no	—
1042	C₂×D₄	—	79	4	no	—
1043	C₂×D₄	—	79	4	no	—
1044	C₂×D₄	—	79	4	no	—
1045	C₂×D₄	—	79	8	no	—
1046	C₂×D₄	—	79	4	no	—
1047	C₂×D₄	—	158	8	no	—
1048	C₂×D₄	—	158	8	no	—
1049	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1050	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1051	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1052	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1053	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	316	4	no	—
1056	C₂²×C₄	—	316	8	no	—
1057	C₂²×C₄	—	316	8	no	—
1058	C₂²×C₄	—	316	4	no	—
1059	C₂²×C₄	—	316	4	no	—
1060	C₂²×C₄	—	316	2	no	—
1061	C₂²×C₄	—	316	4	no	—
1062	C₂²×C₄	—	79	4	no	—
1063	C₂²×C₄	—	79	2	no	—
1064	C₂²×C₄	—	79	4	no	—
1065	C₂²×C₄	—	79	2	no	—
1066	C₂²×C₄	—	79	8	no	—
1067	C₂²×C₄	—	79	4	no	—
1068	C₂²×C₄	—	79	4	no	—
1069	C₂²×C₄	—	79	2	no	—
1070	C₂²×C₄	—	79	4	no	—
1071	C₂²×C₄	—	79	2	no	—
1072	C₂²×C₄	—	79	8	no	—
1073	C₂²×C₄	—	79	8	no	—
1074	C₂²×C₄	—	79	4	no	—
1075	C₂²×C₄	—	79	8	no	—
1076	C₂²×C₄	—	79	4	no	—
1077	C₂²×C₄	—	79	2	no	—
1078	C₂²×C₄	—	79	4	no	—
1079	C₂²×C₄	—	79	4	no	—
1080	C₂²×C₄	—	79	2	no	—
1081	C₂²×C₄	—	79	2	no	—
1082	C₂²×C₄	—	79	2	no	—
1083	C₂²×C₄	—	158	8	no	—
1084	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1085	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1086	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1087	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1088	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1089	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1090	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1091	C₄⋊C₄	—	79	8	no	—
1092	C₄⋊C₄	—	79	8	no	—
1093	C₄⋊C₄	—	79	8	no	—
1094	C₄⋊C₄	—	79	8	no	—
1095	C₄⋊C₄	—	79	8	no	—
1096	C₄⋊C₄	—	79	8	no	—
1097	C₄⋊C₄	—	79	8	no	—
1098	C₄⋊C₄	—	79	8	no	—
1099	C₄⋊C₄	—	79	8	no	—
1100	C₄⋊C₄	—	79	8	no	—
1101	C₄⋊C₄	—	79	8	no	—
1102	C₄⋊C₄	—	79	8	no	—
1103	C₄⋊C₄	—	79	8	no	—
1104	C₄⋊C₄	—	79	4	no	—
1105	C₄⋊C₄	—	79	8	no	—
1106	C₄⋊C₄	—	79	8	no	—
1107	C₄⋊C₄	—	79	4	no	—
1108	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1110	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1111	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1112	C₂²⋊C₄	—	79	4	no	—
1113	C₂²⋊C₄	—	79	4	no	—
1114	C₂²⋊C₄	—	79	8	no	—
1115	C₂²⋊C₄	—	79	8	no	—
1116	C₂²⋊C₄	—	79	8	no	—
1117	C₂²⋊C₄	—	79	8	no	—
1118	C₂²⋊C₄	—	79	8	no	—
1119	C₂²⋊C₄	—	79	8	no	—
1120	C₂²⋊C₄	—	79	8	no	—
1121	C₂²⋊C₄	—	79	8	no	—
1122	C₂²⋊C₄	—	79	8	no	—
1123	C₂²⋊C₄	—	79	8	no	—
1124	C₂²⋊C₄	—	79	8	no	—
1125	C₂²⋊C₄	—	79	8	no	—
1126	C₂²⋊C₄	—	79	8	no	—
1127	C₂²⋊C₄	—	79	8	no	—
1128	C₂²⋊C₄	—	79	8	no	—
1129	C₂²⋊C₄	—	79	8	no	—
1130	C₂²⋊C₄	—	79	8	no	—
1131	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1132	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1133	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1136	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1137	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1138	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1139	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1140	C₄²	—	79	8	no	—
1141	C₄²	—	79	8	no	—
1142	C₄²	—	79	8	no	—
1143	C₄²	—	79	8	no	—
1144	C₄²	C₂³×D₇₉	1	8	yes	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	4	no	—
1147	C₂³	—	2	8	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	8	no	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	4	2	no	—
1152	C₂³	—	4	4	no	—
1153	C₂³	—	4	2	no	—
1154	C₂³	—	4	4	no	—
1155	C₂³	—	4	16	no	—
1156	C₂³	—	316	4	no	—
1157	C₂³	—	316	4	no	—
1158	C₂³	—	316	4	no	—
1159	C₂³	—	316	4	no	—
1160	C₂³	—	316	4	no	—
1161	C₂³	—	316	8	no	—
1162	C₂³	—	79	4	no	—
1163	C₂³	—	79	4	no	—
1164	C₂³	—	632	8	no	—
1165	C₂³	—	158	4	no	—
1166	C₂³	—	158	4	no	—
1167	C₂³	—	158	8	no	—
1168	C₂³	#14579207	1	4	yes	—
1169	C₂³	C₂⁴×D₇₉	1	4	yes	—
1170	C₂³	C₂⁴×D₇₉	1	2	yes	—
1171	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1172	C₂³	C₂⁴×D₇₉	1	2	yes	—
1173	C₂³	C₂⁴×D₇₉	1	2	yes	—
1174	Q₈	—	4	4	no	—
1175	Q₈	—	316	8	no	—
1176	Q₈	—	316	4	no	—
1177	Q₈	—	316	4	no	—
1178	D₄	—	2	8	no	—
1179	D₄	—	2	8	no	—
1180	D₄	—	2	16	no	—
1181	D₄	—	4	8	no	—
1182	D₄	—	4	4	no	—
1183	D₄	—	316	4	no	—
1184	D₄	—	316	8	no	—
1185	D₄	—	316	4	no	—
1186	D₄	—	316	8	no	—
1187	D₄	—	316	4	no	—
1188	D₄	—	316	4	no	—
1189	D₄	—	316	8	no	—
1190	D₄	—	316	8	no	—
1191	D₄	—	316	8	no	—
1192	D₄	—	158	8	no	—
1193	D₄	—	158	8	no	—
1194	D₄	—	158	8	no	—
1195	D₄	—	158	8	no	—
1196	D₄	—	158	16	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	8	no	—
1199	C₂×C₄	—	4	2	no	—
1200	C₂×C₄	—	4	4	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	4	4	no	—
1203	C₂×C₄	—	4	8	no	—
1204	C₂×C₄	—	316	8	no	—
1205	C₂×C₄	—	316	4	no	—
1206	C₂×C₄	—	316	4	no	—
1207	C₂×C₄	—	316	8	no	—
1208	C₂×C₄	—	316	8	no	—
1209	C₂×C₄	—	316	2	no	—
1210	C₂×C₄	—	316	2	no	—
1211	C₂×C₄	—	316	4	no	—
1212	C₂×C₄	—	316	4	no	—
1213	C₂×C₄	—	316	2	no	—
1214	C₂×C₄	—	316	2	no	—
1215	C₂×C₄	—	316	4	no	—
1216	C₂×C₄	—	316	8	no	—
1217	C₂×C₄	—	316	4	no	—
1218	C₂×C₄	—	316	4	no	—
1219	C₂×C₄	—	79	8	no	—
1220	C₂×C₄	—	79	4	no	—
1221	C₂×C₄	—	79	4	no	—
1222	C₂×C₄	—	79	4	no	—
1223	C₂×C₄	—	79	4	no	—
1224	C₂×C₄	—	158	4	no	—
1225	C₂×C₄	—	158	4	no	—
1226	C₂×C₄	—	158	8	no	—
1227	C₂×C₄	—	158	8	no	—
1228	C₂×C₄	—	158	4	no	—
1229	C₂×C₄	—	158	4	no	—
1230	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1231	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1232	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1233	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1234	C₂²	—	2	8	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	4	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	4	4	no	—
1244	C₂²	—	4	16	no	—
1245	C₂²	—	4	4	no	—
1246	C₂²	—	8	4	no	—
1247	C₂²	—	632	4	no	—
1248	C₂²	—	632	8	no	—
1249	C₂²	—	632	4	no	—
1250	C₂²	—	158	4	no	—
1251	C₂²	—	158	4	no	—
1252	C₂²	—	158	8	no	—
1253	C₂²	—	158	8	no	—
1254	C₂²	—	1264	4	no	—
1255	C₂²	C₂×#14579207	1	4	yes	—
1256	C₂²	C₂×#14579207	1	2	yes	—
1257	C₂²	#19099398	1	4	yes	—
1258	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1259	C₄	—	2	4	no	—
1260	C₄	—	2	4	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	8	no	—
1263	C₄	—	158	4	no	—
1264	C₄	—	158	4	no	—
1265	C₄	—	158	4	no	—
1266	C₄	—	158	4	no	—
1267	C₄	—	158	8	no	—
1268	C₂	—	2	2	no	—
1269	C₂	—	2	4	no	—
1270	C₂	—	2	4	no	—
1271	C₂	—	4	2	no	—
1272	C₂	—	4	4	no	—
1273	C₂	—	316	4	no	—
1274	C₂	—	316	4	no	—
1275	C₂	C₂²×#14579207	1	1	yes	characteristic
1276	C₂	C₂×#19099398	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3490	C₂
hypercenter	#3490	D₇₉
hypocenter	C₇₉	#62820
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #23777605	C₂	semidirect
2. #23777586	C₂	semidirect
3. #23777568	C₂	semidirect
4. #23777341	C₂	semidirect
5. #23777327	C₂	semidirect
6. #23777106	C₂	semidirect
7. #23777099	C₂	semidirect
8. #23777093	C₂	semidirect
9. #23777089	C₂	semidirect
10. #23777083	C₂	semidirect
11. #23777045	C₂	semidirect
12. #23777041	C₂	semidirect
13. #23777029	C₂	semidirect
14. C₂×#19099069	C₂	semidirect
15. C₂²×#14579145	C₂	semidirect
16. C₇₉×#3490	C₂	semidirect
17. C₂×#14579206	C₂²	semidirect
18. C₂²×#11929623	C₂²	semidirect
20. C₂⁴×Dic₇₉	C₂²	semidirect
21. #19099315	C₂²	semidirect
22. #19099310	C₂²	semidirect
23. #19099307	C₂²	semidirect
24. #19099301	C₂²	semidirect
25. #19099295	C₂²	semidirect
26. #19099271	C₂²	semidirect
27. #19099270	C₂²	semidirect
28. #19099265	C₂²	semidirect
29. #19099265	C₂²	semidirect
30. #19099264	C₂²	semidirect
31. #19099259	C₂²	semidirect
32. #19099255	C₂²	semidirect
33. #19099255	C₂²	semidirect
34. #19099253	C₂²	semidirect
35. #19099246	C₂²	semidirect
36. #19099242	C₂²	semidirect
37. #19099240	C₂²	semidirect
38. #19099240	C₂²	semidirect
39. #19099239	C₂²	semidirect
40. #19099239	C₂²	semidirect
41. #19099237	C₂²	semidirect
42. #19099236	C₂²	semidirect
43. #19099236	C₂²	semidirect
44. #19099217	C₂²	semidirect
45. #19099217	C₂²	semidirect
46. #19099213	C₂²	semidirect
47. #19099211	C₂²	semidirect
48. #19099208	C₂²	semidirect
49. #19099208	C₂²	semidirect
50. #19099205	C₂²	semidirect
51. #19099203	C₂²	semidirect
52. #19099203	C₂²	semidirect
53. #19099202	C₂²	semidirect
54. #19099201	C₂²	semidirect
55. #19099200	C₂²	semidirect
56. #19099200	C₂²	semidirect
57. D₄×C₂²⋊D₇₉	C₂²	semidirect
58. #19099195	C₂²	semidirect
59. #19099191	C₂²	semidirect
60. #19099189	C₂²	semidirect
61. #19099188	C₂²	semidirect
62. #19099182	C₂²	semidirect
63. #19099179	C₂²	semidirect
64. #19099166	C₂²	semidirect
65. #19099165	C₂²	semidirect
66. #19099162	C₂²	semidirect
67. #19099157	C₂²	semidirect
68. #19099157	C₂²	semidirect
69. #19099157	C₂²	semidirect
70. #19099155	C₂²	semidirect
71. #19099154	C₂²	semidirect
72. #19099153	C₂²	semidirect
73. #19099151	C₂²	semidirect
74. #19099150	C₂²	semidirect
75. #19099150	C₂²	semidirect
76. #19099147	C₂²	semidirect
77. #19099146	C₂²	semidirect
78. #19099141	C₂²	semidirect
79. #19099139	C₂²	semidirect
80. #19099135	C₂²	semidirect
81. #19099128	C₂²	semidirect
83. #19099125	C₂²	semidirect
84. #19099125	C₂²	semidirect
85. #19099123	C₂²	semidirect
86. #19099123	C₂²	semidirect
88. #19099121	C₂²	semidirect
89. #19099099	C₂²	semidirect
90. #19099093	C₂²	semidirect
91. #19099075	C₂²	semidirect
92. #19099074	C₂²	semidirect
93. #19099069	C₂²	semidirect
94. #19099069	C₂²	semidirect
95. #19099069	C₂²	semidirect
96. #19099069	C₂²	semidirect
97. #19099069	C₂²	semidirect
98. #19099069	C₂²	semidirect
99. C₂×#14579145	C₂²	semidirect
100. C₂×#14579145	C₂²	semidirect
101. C₂×#14579145	C₂²	semidirect
102. C₂×#14579145	C₂²	semidirect
103. C₂×#14579145	C₂²	semidirect
104. C₂×#14579145	C₂²	semidirect
105. C₂×#14579145	C₂²	semidirect
106. C₂×#14579142	C₂²	semidirect
107. #123×D₇₉	C₂²	semidirect
108. C₂×#14579138	C₂²	semidirect
109. C₂×#14579133	C₂²	semidirect
110. C₂×#14579130	C₂²	semidirect
111. #120×D₇₉	C₂²	semidirect
112. #19099046	C₂²	semidirect
113. #19099043	C₂²	semidirect
114. #19099036	C₂²	semidirect
115. #19099036	C₂²	semidirect
116. #19099035	C₂²	semidirect
117. C₂×D₄×Dic₇₉	C₂²	semidirect
118. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
119. C₂×#14579117	C₂²	semidirect
120. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
121. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
122. #551×C₇₉	C₂²	semidirect
123. #546×C₇₉	C₂²	semidirect
124. #543×C₇₉	C₂²	semidirect
125. #538×C₇₉	C₂²	semidirect
126. #534×C₇₉	C₂²	semidirect
127. #525×C₇₉	C₂²	semidirect
128. C₂×#120×C₇₉	C₂²	semidirect
129. #518×C₇₉	C₂²	semidirect
130. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
139. C₂×#11929623	C₂³	semidirect
140. C₂²×Dic₁₅₈	C₂³	semidirect
148. C₂²×C₂²⋊D₇₉	C₂³	semidirect
159. C₂³×Dic₇₉	C₂³	semidirect
160. C₂²×C₄×D₇₉	C₂³	semidirect
161. #14579161	C₂³	semidirect
162. #14579160	C₂³	semidirect
164. #14579156	C₂³	semidirect
165. #14579156	C₂³	semidirect
166. #14579156	C₂³	semidirect
167. #14579156	C₂³	semidirect
168. #14579156	C₂³	semidirect
169. #14579155	C₂³	semidirect
170. #14579154	C₂³	semidirect
171. #14579154	C₂³	semidirect
172. #14579154	C₂³	semidirect
173. #14579153	C₂³	semidirect
174. #14579152	C₂³	semidirect
175. #14579152	C₂³	semidirect
176. #14579152	C₂³	semidirect
177. #14579151	C₂³	semidirect
178. #14579151	C₂³	semidirect
179. #14579150	C₂³	semidirect
180. #14579149	C₂³	semidirect
182. #14579147	C₂³	semidirect
183. #14579147	C₂³	semidirect
184. #14579147	C₂³	semidirect
185. #14579146	C₂³	semidirect
186. #14579146	C₂³	semidirect
187. #14579146	C₂³	semidirect
201. #14579145	C₂³	semidirect
202. #14579145	C₂³	semidirect
203. #14579145	C₂³	semidirect
204. #14579145	C₂³	semidirect
205. #14579145	C₂³	semidirect
206. #14579145	C₂³	semidirect
209. #14579144	C₂³	semidirect
211. #14579143	C₂³	semidirect
212. #14579143	C₂³	semidirect
213. #14579143	C₂³	semidirect
214. #14579143	C₂³	semidirect
217. #14579142	C₂³	semidirect
218. #14579142	C₂³	semidirect
219. #14579141	C₂³	semidirect
220. #14579141	C₂³	semidirect
221. #14579141	C₂³	semidirect
224. #14579140	C₂³	semidirect
225. #14579139	C₂³	semidirect
226. #14579139	C₂³	semidirect
230. #14579138	C₂³	semidirect
231. #14579138	C₂³	semidirect
232. #14579138	C₂³	semidirect
233. #14579138	C₂³	semidirect
234. #14579138	C₂³	semidirect
235. #14579137	C₂³	semidirect
236. #14579137	C₂³	semidirect
237. #14579136	C₂³	semidirect
241. #14579135	C₂³	semidirect
242. #14579135	C₂³	semidirect
245. #14579134	C₂³	semidirect
246. #14579134	C₂³	semidirect
252. #14579133	C₂³	semidirect
253. #14579133	C₂³	semidirect
254. #14579133	C₂³	semidirect
256. #14579132	C₂³	semidirect
260. #14579131	C₂³	semidirect
261. #14579131	C₂³	semidirect
269. #14579129	C₂³	semidirect
270. Q₈×Dic₇₉	C₂³	semidirect
271. C₄×Dic₁₅₈	C₂³	semidirect
272. C₄×D₃₁₆	C₂³	semidirect
273. C₄×D₃₁₆	C₂³	semidirect
277. D₄×Dic₇₉	C₂³	semidirect
278. D₄×Dic₇₉	C₂³	semidirect
279. D₄×Dic₇₉	C₂³	semidirect
280. #14579123	C₂³	semidirect
284. C₄×C₂²⋊D₇₉	C₂³	semidirect
289. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
290. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
291. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
292. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
294. #14579120	C₂³	semidirect
295. #14579119	C₂³	semidirect
296. #14579119	C₂³	semidirect
297. #14579118	C₂³	semidirect
300. #14579117	C₂³	semidirect
301. #14579117	C₂³	semidirect
307. C₂×C₄⋊Dic₇₉	C₂³	semidirect
308. C₂×C₄⋊Dic₇₉	C₂³	semidirect
309. C₂×Dic₇₉⋊C₄	C₂³	semidirect
310. C₂×Dic₇₉⋊C₄	C₂³	semidirect
311. C₄⋊C₄×D₇₉	C₂³	semidirect
314. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
320. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
321. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
324. C₂²⋊C₄×D₇₉	C₂³	semidirect
325. C₂²⋊C₄×D₇₉	C₂³	semidirect
326. C₂×C₄×Dic₇₉	C₂³	semidirect
332. #126×C₇₉	C₂³	semidirect
333. #124×C₇₉	C₂³	semidirect
335. #123×C₇₉	C₂³	semidirect
336. #123×C₇₉	C₂³	semidirect
339. C₂²⋊Q₈×C₇₉	C₂³	semidirect
342. #121×C₇₉	C₂³	semidirect
346. #120×C₇₉	C₂³	semidirect
349. C₄×D₄×C₇₉	C₂³	semidirect
351. #117×C₇₉	C₂³	semidirect
358. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
649. #3490	D₇₉	semidirect
655. C₇₉	#62820	semidirect
683. #551	C₂×D₇₉	semidirect
697. #546	C₂×D₇₉	semidirect
703. #543	C₂×D₇₉	semidirect
720. #538	C₂×D₇₉	semidirect
732. #534	C₂×D₇₉	semidirect
743. #525	C₂×D₇₉	semidirect
757. C₂×#120	C₂×D₇₉	semidirect
763. #518	C₂×D₇₉	semidirect
769. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
817. #126	C₂²×D₇₉	semidirect
830. #124	C₂²×D₇₉	semidirect
866. #123	C₂²×D₇₉	semidirect
867. #123	C₂²×D₇₉	semidirect
888. C₂²⋊Q₈	C₂²×D₇₉	semidirect
911. #121	C₂²×D₇₉	semidirect
928. #120	C₂²×D₇₉	semidirect
954. C₄×D₄	C₂²×D₇₉	semidirect
965. #117	C₂²×D₇₉	semidirect
996. C₂×C₂²⋊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
#23777605	2
#23777586	2
#23777568	2
#23777341	2
#23777327	2
#23777106	2
#23777099	2
#23777093	2
#23777089	2
#23777083	2
#23777045	2
#23777041	2
#23777029	2
C₂×#19099069	2
C₂²×#14579145	2
C₇₉×#3490	2
#62820	79