Subgroups — #35197148

Order 20224.

8650 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777734	C₂	1	4	yes	maximal, complemented
2	#23777732	C₂	1	8	yes	maximal, complemented
3	#23777729	C₂	1	8	yes	maximal, complemented
4	#23777724	C₂	1	4	yes	maximal, complemented
5	#23777277	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777273	C₂	1	4	yes	maximal, complemented
7	#23777271	C₂	1	2	yes	maximal, complemented
8	#23777269	C₂	1	4	yes	maximal, complemented
9	#23777178	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777177	C₂	1	4	yes	maximal, complemented
11	#23777176	C₂	1	1	yes	maximal, characteristic, complemented
12	#23777175	C₂	1	2	yes	maximal, complemented
13	#23777173	C₂	1	4	yes	maximal, complemented
14	#23777036	C₂	1	2	yes	maximal, complemented
15	#23777034	C₂	1	2	yes	maximal, complemented
16	#23777030	C₂	1	8	yes	maximal, complemented
17	#23776697	C₂	1	1	yes	maximal, characteristic, complemented
18	#23776693	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#127×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₉×#3508	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14579207	C₂²	1	8	yes	complemented
22	C₂×#14579207	C₂²	1	2	yes	complemented
23	C₂×#14579206	C₂²	1	2	yes	complemented
24	C₂²×D₄×D₇₉	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
26	#19099303	C₂²	1	16	yes	complemented
27	#19099301	C₂²	1	16	yes	complemented
28	#19099298	C₂²	1	4	yes	complemented
29	#19099296	C₂²	1	8	yes	complemented
30	#19099295	C₂²	1	8	yes	complemented
31	#19099235	C₂²	1	4	yes	complemented
32	#19099235	C₂²	1	4	yes	complemented
33	#19099234	C₂²	1	8	yes	complemented
34	#19099234	C₂²	1	8	yes	complemented
35	#19099233	C₂²	1	4	yes	complemented
36	#19099232	C₂²	1	8	yes	complemented
37	#19099231	C₂²	1	8	yes	complemented
38	#19099210	C₂²	1	8	yes	complemented
39	#19099208	C₂²	1	8	yes	complemented
40	#19099208	C₂²	1	8	yes	complemented
41	#19099206	C₂²	1	8	yes	complemented
42	#19099206	C₂²	1	8	yes	complemented
43	#19099205	C₂²	1	16	yes	complemented
44	#19099204	C₂²	1	8	yes	complemented
45	#19099203	C₂²	1	16	yes	complemented
46	#19099201	C₂²	1	8	yes	complemented
47	D₄×D₃₁₆	C₂²	1	8	yes	complemented
48	D₄×D₃₁₆	C₂²	1	8	yes	complemented
49	D₄×D₃₁₆	C₂²	1	8	yes	complemented
50	D₄×D₃₁₆	C₂²	1	8	yes	complemented
51	D₄×D₃₁₆	C₂²	1	4	yes	complemented
52	#19099198	C₂²	1	4	yes	complemented
53	#19099198	C₂²	1	8	yes	complemented
54	#19099197	C₂²	1	8	yes	complemented
55	#19099197	C₂²	1	8	yes	complemented
56	#19099197	C₂²	1	16	yes	complemented
57	#19099197	C₂²	1	8	yes	complemented
58	#19099197	C₂²	1	8	yes	complemented
59	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
60	#19099195	C₂²	1	16	yes	complemented
61	#19099169	C₂²	1	4	yes	complemented
62	#19099166	C₂²	1	8	yes	complemented
63	#19099165	C₂²	1	16	yes	complemented
64	#19099164	C₂²	1	8	yes	complemented
65	#19099164	C₂²	1	8	yes	complemented
66	#19099132	C₂²	1	2	yes	complemented
67	#19099132	C₂²	1	2	yes	complemented
68	#19099132	C₂²	1	4	yes	complemented
69	#19099131	C₂²	1	8	yes	complemented
70	#19099131	C₂²	1	8	yes	complemented
71	#19099131	C₂²	1	4	yes	complemented
72	#19099130	C₂²	1	2	yes	complemented
73	#19099129	C₂²	1	8	yes	complemented
74	#19099129	C₂²	1	16	yes	complemented
75	#19099127	C₂²	1	8	yes	complemented
76	#19099126	C₂²	1	4	yes	complemented
77	#19099126	C₂²	1	4	yes	complemented
78	#19099125	C₂²	1	8	yes	complemented
79	#19099124	C₂²	1	16	yes	complemented
80	#19099123	C₂²	1	8	yes	complemented
81	#19099121	C₂²	1	16	yes	complemented
82	#19099118	C₂²	1	2	yes	complemented
83	#19099117	C₂²	1	2	yes	complemented
84	#19099116	C₂²	1	1	yes	characteristic, complemented
85	#19099114	C₂²	1	2	yes	complemented
86	#19099114	C₂²	1	4	yes	complemented
87	#19099113	C₂²	1	1	yes	characteristic, complemented
88	#19099113	C₂²	1	2	yes	complemented
89	#19099112	C₂²	1	4	yes	complemented
90	#19099111	C₂²	1	2	yes	complemented
91	#19099110	C₂²	1	2	yes	complemented
92	#19099110	C₂²	1	8	yes	complemented
93	#19099109	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
95	C₂×#14579158	C₂²	1	2	yes	complemented
96	C₂×#14579157	C₂²	1	2	yes	complemented
97	C₂×#14579157	C₂²	1	4	yes	complemented
98	#127×D₇₉	C₂²	1	4	yes	complemented
99	#127×D₇₉	C₂²	1	4	yes	complemented
100	#127×D₇₉	C₂²	1	4	yes	complemented
101	#127×D₇₉	C₂²	1	4	yes	complemented
102	#127×D₇₉	C₂²	1	2	yes	complemented
103	#127×D₇₉	C₂²	1	4	yes	complemented
104	#19099100	C₂²	1	2	yes	complemented
105	#19099100	C₂²	1	4	yes	complemented
106	#19099099	C₂²	1	4	yes	complemented
107	#19099098	C₂²	1	4	yes	complemented
108	#19099095	C₂²	1	2	yes	complemented
109	#19099093	C₂²	1	4	yes	complemented
110	#19099091	C₂²	1	4	yes	complemented
111	#19099076	C₂²	1	4	yes	complemented
112	#19099075	C₂²	1	2	yes	complemented
113	#19099075	C₂²	1	1	yes	characteristic, complemented
114	#19099072	C₂²	1	4	yes	complemented
115	#19099070	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14579131	C₂²	1	8	yes	complemented
117	#120×D₇₉	C₂²	1	8	yes	complemented
118	#19099037	C₂²	1	2	yes	complemented
119	#19099035	C₂²	1	8	yes	complemented
120	C₄×#11929625	C₂²	1	4	yes	complemented
121	C₄×#11929624	C₂²	1	1	yes	characteristic, complemented
122	C₄×#11929624	C₂²	1	4	yes	complemented
123	#19099031	C₂²	1	2	yes	complemented
124	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
125	#559×C₇₉	C₂²	1	4	yes	complemented
126	#550×C₇₉	C₂²	1	4	yes	complemented
127	#546×C₇₉	C₂²	1	8	yes	complemented
128	#540×C₇₉	C₂²	1	4	yes	complemented
129	#535×C₇₉	C₂²	1	2	yes	complemented
130	#533×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#532×C₇₉	C₂²	1	4	yes	complemented
132	C₂×#127×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#518×C₇₉	C₂²	1	2	yes	complemented
134	C₄×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₉	C₂³	1	4	yes	—
136	#14579207	—	4	32	no	—
137	#14579207	—	4	8	no	—
138	#14579206	—	4	8	no	—
139	C₂×#11929625	C₂³	1	4	yes	—
140	C₂×#11929625	C₂³	1	8	yes	complemented
141	C₂×#11929625	C₂³	1	4	yes	complemented
142	C₂×#11929624	C₂³	1	1	yes	characteristic
143	C₂×#11929624	C₂³	1	2	yes	—
144	C₂×#11929624	C₂³	1	4	yes	—
145	C₂×#11929624	C₂³	1	16	yes	complemented
146	C₂×#11929624	C₂³	1	4	yes	complemented
147	C₂×#11929623	C₂³	1	4	yes	complemented
148	C₂×#11929623	C₂³	1	4	yes	complemented
149	C₂²×D₃₁₆	C₂³	1	2	yes	—
150	C₂²×D₃₁₆	C₂³	1	16	yes	—
151	C₂²×D₃₁₆	C₂³	1	4	yes	—
152	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
153	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
154	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
155	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
156	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
157	C₂×D₄×D₇₉	—	4	16	no	—
158	C₂×D₄×D₇₉	—	4	8	no	—
159	C₂×D₄×D₇₉	C₂³	1	8	yes	—
160	C₂×D₄×D₇₉	C₂³	1	8	yes	—
161	C₂×D₄×D₇₉	C₂³	1	16	yes	—
162	C₂×D₄×D₇₉	C₂³	1	8	yes	—
163	C₂×D₄×D₇₉	C₂³	1	8	yes	—
164	C₂×D₄×D₇₉	C₂³	1	8	yes	—
165	C₂×D₄×D₇₉	C₂³	1	8	yes	—
166	C₂×D₄×D₇₉	C₂³	1	8	yes	—
167	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
168	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
169	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
170	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
171	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
172	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
174	#14579161	C₂³	1	1	yes	characteristic, complemented
175	#14579160	C₂³	1	2	yes	complemented
176	#14579159	C₂³	1	1	yes	characteristic, complemented
177	#14579158	C₂³	1	2	yes	—
178	#14579158	C₂³	1	4	yes	—
179	#14579158	C₂³	1	2	yes	—
180	#14579158	C₂³	1	4	yes	complemented
181	#14579158	C₂³	1	8	yes	complemented
182	#14579158	C₂³	1	4	yes	complemented
183	#14579158	C₂³	1	1	yes	characteristic, complemented
184	#14579157	C₂³	1	4	yes	—
185	#14579157	C₂³	1	8	yes	—
186	#14579157	C₂³	1	8	yes	—
187	#14579157	C₂³	1	8	yes	—
188	#14579157	C₂³	1	8	yes	—
189	#14579157	C₂³	1	8	yes	—
190	#14579157	C₂³	1	4	yes	—
191	#14579157	C₂³	1	16	yes	complemented
192	#14579157	C₂³	1	8	yes	complemented
193	#14579157	C₂³	1	4	yes	complemented
194	#14579157	C₂³	1	1	yes	characteristic, complemented
195	#14579156	C₂³	1	8	yes	complemented
196	#14579156	C₂³	1	4	yes	complemented
197	#14579154	C₂³	1	4	yes	complemented
198	#14579152	C₂³	1	2	yes	complemented
199	#14579152	C₂³	1	4	yes	complemented
200	#14579151	C₂³	1	4	yes	complemented
201	#14579150	C₂³	1	8	yes	complemented
202	#14579150	C₂³	1	4	yes	complemented
203	#14579150	C₂³	1	1	yes	characteristic, complemented
204	#14579149	C₂³	1	4	yes	complemented
205	#14579149	C₂³	1	4	yes	complemented
206	#14579149	C₂³	1	2	yes	complemented
207	#14579148	C₂³	1	4	yes	complemented
208	#14579148	C₂³	1	1	yes	characteristic, complemented
209	#14579147	C₂³	1	16	yes	complemented
210	#14579147	C₂³	1	4	yes	complemented
211	#14579146	C₂³	1	4	yes	—
212	#14579146	C₂³	1	8	yes	—
213	#14579146	C₂³	1	16	yes	complemented
214	#14579145	C₂³	1	2	yes	—
215	#14579145	C₂³	1	4	yes	—
216	#14579145	C₂³	1	16	yes	complemented
217	#14579144	C₂³	1	16	yes	complemented
218	#14579143	C₂³	1	4	yes	—
219	#14579143	C₂³	1	16	yes	complemented
220	#14579143	C₂³	1	16	yes	complemented
221	#14579142	C₂³	1	2	yes	—
222	#14579141	C₂³	1	2	yes	—
223	#14579141	C₂³	1	4	yes	—
224	#14579139	C₂³	1	4	yes	—
225	#14579138	C₂³	1	4	yes	—
226	#14579137	C₂³	1	4	yes	—
227	#14579137	C₂³	1	2	yes	—
228	#14579136	C₂³	1	4	yes	—
229	#14579136	C₂³	1	4	yes	—
230	#14579136	C₂³	1	2	yes	—
231	#14579136	C₂³	1	8	yes	complemented
232	#14579136	C₂³	1	8	yes	complemented
233	#14579136	C₂³	1	16	yes	complemented
234	#14579136	C₂³	1	8	yes	complemented
235	#14579136	C₂³	1	16	yes	complemented
236	#14579135	C₂³	1	4	yes	—
237	#14579135	C₂³	1	16	yes	complemented
238	#14579135	C₂³	1	16	yes	complemented
239	#14579135	C₂³	1	16	yes	complemented
240	#14579135	C₂³	1	8	yes	complemented
241	#14579134	C₂³	1	4	yes	—
242	#14579134	C₂³	1	16	yes	complemented
243	#14579134	C₂³	1	16	yes	complemented
244	#14579134	C₂³	1	16	yes	complemented
245	#14579134	C₂³	1	16	yes	complemented
246	#14579134	C₂³	1	16	yes	complemented
247	#14579133	C₂³	1	4	yes	—
248	#14579133	C₂³	1	16	yes	complemented
249	#14579133	C₂³	1	16	yes	complemented
250	#14579132	C₂³	1	2	yes	—
251	#14579132	C₂³	1	8	yes	complemented
252	#14579132	C₂³	1	8	yes	complemented
253	#14579132	C₂³	1	16	yes	complemented
254	#14579131	C₂³	1	8	yes	—
255	#14579131	C₂³	1	16	yes	—
256	#14579131	C₂³	1	16	yes	—
257	#14579131	C₂³	1	16	yes	—
258	#14579131	C₂³	1	8	yes	—
259	#14579131	C₂³	1	4	yes	—
260	#14579131	C₂³	1	2	yes	—
261	#14579131	C₂³	1	16	yes	complemented
262	#14579131	C₂³	1	16	yes	complemented
263	#14579131	C₂³	1	16	yes	complemented
264	#14579130	C₂³	1	8	yes	—
265	#14579129	C₂³	1	16	yes	—
266	#14579129	C₂³	1	2	yes	—
267	#14579129	C₂³	1	16	yes	complemented
268	#14579129	C₂³	1	16	yes	complemented
269	#14579129	C₂³	1	16	yes	complemented
270	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
271	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
272	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
273	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
274	#14579126	C₂³	1	4	yes	complemented
275	C₄×D₃₁₆	C₂³	1	8	yes	—
276	C₄×D₃₁₆	C₂³	1	4	yes	—
277	C₄×D₃₁₆	C₂³	1	4	yes	—
278	C₄×D₃₁₆	C₂³	1	8	yes	complemented
279	C₄×D₃₁₆	C₂³	1	8	yes	complemented
280	C₄×D₃₁₆	C₂³	1	2	yes	complemented
281	C₄×D₃₁₆	C₂³	1	4	yes	complemented
282	D₄×Dic₇₉	C₂³	1	8	yes	complemented
283	#14579123	C₂³	1	8	yes	—
284	#14579123	C₂³	1	8	yes	complemented
285	#14579123	C₂³	1	8	yes	complemented
286	#14579123	C₂³	1	4	yes	complemented
287	#14579123	C₂³	1	4	yes	complemented
288	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
289	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
290	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
291	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
292	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
293	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
294	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
295	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
296	#14579120	C₂³	1	1	yes	characteristic
297	#14579120	C₂³	1	4	yes	complemented
298	#14579119	C₂³	1	4	yes	—
299	#14579119	C₂³	1	8	yes	complemented
300	#14579118	C₂³	1	4	yes	—
301	#14579118	C₂³	1	4	yes	complemented
302	#14579118	C₂³	1	4	yes	complemented
303	#14579118	C₂³	1	2	yes	complemented
304	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	—
305	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
306	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	—
307	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
309	C₄²×D₇₉	C₂³	1	2	yes	—
310	C₄²×D₇₉	C₂³	1	2	yes	—
311	C₄²×D₇₉	C₂³	1	2	yes	—
312	C₄²×D₇₉	C₂³	1	2	yes	—
313	C₄²×D₇₉	C₂³	1	4	yes	complemented
314	C₄²×D₇₉	C₂³	1	2	yes	complemented
315	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
316	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
317	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
318	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
319	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	complemented
320	#127×C₇₉	C₂³	1	4	yes	—
321	#127×C₇₉	C₂³	1	2	yes	—
322	#127×C₇₉	C₂³	1	2	yes	—
323	#127×C₇₉	C₂³	1	4	yes	complemented
324	#125×C₇₉	C₂³	1	2	yes	complemented
325	#124×C₇₉	C₂³	1	4	yes	complemented
326	#124×C₇₉	C₂³	1	8	yes	complemented
327	#123×C₇₉	C₂³	1	16	yes	complemented
328	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
329	#121×C₇₉	C₂³	1	8	yes	complemented
330	#121×C₇₉	C₂³	1	8	yes	complemented
331	#121×C₇₉	C₂³	1	16	yes	complemented
332	#120×C₇₉	C₂³	1	8	yes	—
333	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
334	C₄×Q₈×C₇₉	C₂³	1	4	yes	complemented
335	C₄×D₄×C₇₉	C₂³	1	4	yes	—
336	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
337	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
338	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
339	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
340	#117×C₇₉	C₂³	1	1	yes	characteristic
341	#117×C₇₉	C₂³	1	2	yes	—
342	#117×C₇₉	C₂³	1	2	yes	complemented
343	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
344	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇₉	C₂³	1	2	yes	complemented
346	C₂³×D₇₉	—	4	16	no	—
347	C₂³×D₇₉	—	4	8	no	—
348	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
349	C₂³×D₇₉	C₂⁴	1	4	yes	—
350	C₂³×D₇₉	C₂⁴	1	16	yes	—
351	C₂³×D₇₉	C₂⁴	1	8	yes	—
352	C₂³×D₇₉	C₂⁴	1	8	yes	—
353	#11929625	—	2	16	no	—
354	#11929625	—	4	16	no	—
355	#11929625	—	4	8	no	—
356	#11929624	—	2	16	no	—
357	#11929624	—	2	4	no	—
358	#11929624	—	2	8	no	—
359	#11929624	—	4	32	no	—
360	#11929624	—	4	8	no	—
361	#11929623	—	4	8	no	—
362	#11929623	—	4	8	no	—
363	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
364	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
365	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
366	C₂×D₃₁₆	—	2	8	no	—
367	C₂×D₃₁₆	—	4	16	no	—
368	C₂×D₃₁₆	—	4	8	no	—
369	C₂×D₃₁₆	—	4	8	no	—
370	C₂×D₃₁₆	—	4	32	no	—
371	C₂×D₃₁₆	C₂⁴	1	2	yes	—
372	C₂×D₃₁₆	C₂⁴	1	4	yes	—
373	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
374	C₂×D₃₁₆	C₂⁴	1	4	yes	—
375	C₂×D₃₁₆	C₂⁴	1	8	yes	—
376	C₂×D₃₁₆	C₂⁴	1	4	yes	—
377	C₂×D₃₁₆	C₂⁴	1	8	yes	—
378	C₂×D₃₁₆	C₂⁴	1	4	yes	—
379	C₂×D₃₁₆	C₂⁴	1	16	yes	—
380	C₂×D₃₁₆	C₂⁴	1	8	yes	—
381	C₂×D₃₁₆	C₂⁴	1	16	yes	—
382	C₂×D₃₁₆	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₉	—	4	16	no	—
384	C₂×C₂²⋊D₇₉	—	4	16	no	—
385	C₂×C₂²⋊D₇₉	—	4	8	no	—
386	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
387	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
388	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
389	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
390	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
391	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
395	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
396	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
397	D₄×D₇₉	—	2	32	no	—
398	D₄×D₇₉	—	4	32	no	—
399	D₄×D₇₉	—	4	16	no	—
400	D₄×D₇₉	—	4	16	no	—
401	D₄×D₇₉	—	4	32	no	—
402	D₄×D₇₉	—	4	8	no	—
403	D₄×D₇₉	—	4	8	no	—
404	D₄×D₇₉	—	4	16	no	—
405	D₄×D₇₉	—	4	8	no	—
406	D₄×D₇₉	—	4	16	no	—
407	D₄×D₇₉	—	4	16	no	—
408	D₄×D₇₉	—	4	16	no	—
409	D₄×D₇₉	—	4	16	no	—
410	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
411	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
413	C₂×C₄×D₇₉	—	2	8	no	—
414	C₂×C₄×D₇₉	—	2	4	no	—
415	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
416	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
417	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
418	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
419	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
420	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
421	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
422	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
423	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
424	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
425	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
426	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
427	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
428	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
429	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
430	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
432	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
433	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
434	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
435	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
436	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
438	C₂²⋊Dic₇₉	C₂⁴	1	2	yes	—
439	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
440	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
441	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
442	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
443	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
444	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
445	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
446	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
447	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
448	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
450	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
451	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
452	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
454	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
455	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
456	C₄×Dic₇₉	C₂⁴	1	2	yes	—
457	C₄×Dic₇₉	C₂⁴	1	2	yes	—
458	C₄×Dic₇₉	C₂⁴	1	2	yes	—
459	C₄×Dic₇₉	C₂⁴	1	2	yes	—
460	C₄×Dic₇₉	C₂⁴	1	2	yes	—
461	C₄×Dic₇₉	C₂⁴	1	4	yes	—
462	C₄×Dic₇₉	C₂⁴	1	2	yes	—
463	C₄×Dic₇₉	C₂⁴	1	8	yes	—
464	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
465	#41×C₇₉	—	2	4	no	—
466	#41×C₇₉	—	4	16	no	—
467	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
468	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂×D₄×C₇₉	—	2	8	no	—
470	C₂×D₄×C₇₉	—	4	8	no	—
471	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
472	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
473	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
474	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
475	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
476	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
477	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
478	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
479	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
480	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₇₉	C₂⁴	1	16	yes	—
482	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
483	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
484	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
485	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
487	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
488	C₂²⋊C₄×C₇₉	C₂⁴	1	2	yes	—
489	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
490	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
491	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
492	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
493	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
494	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
495	C₄²×C₇₉	C₂⁴	1	2	yes	—
496	C₄²×C₇₉	C₂⁴	1	2	yes	—
497	C₄²×C₇₉	C₂⁴	1	4	yes	—
498	C₄²×C₇₉	C₂⁴	1	4	yes	—
499	C₂³×C₇₉	—	2	8	no	—
500	C₂³×C₇₉	—	4	8	no	—
501	C₂³×C₇₉	C₂⁵	1	2	yes	—
502	C₂³×C₇₉	C₂⁵	1	8	yes	—
503	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
504	C₂²×D₇₉	—	2	2	no	—
505	C₂²×D₇₉	—	2	4	no	—
506	C₂²×D₇₉	—	2	8	no	—
507	C₂²×D₇₉	—	2	32	no	—
508	C₂²×D₇₉	—	4	16	no	—
509	C₂²×D₇₉	—	4	16	no	—
510	C₂²×D₇₉	—	4	8	no	—
511	C₂²×D₇₉	—	4	8	no	—
512	C₂²×D₇₉	—	4	8	no	—
513	C₂²×D₇₉	—	4	16	no	—
514	C₂²×D₇₉	—	4	16	no	—
515	C₂²×D₇₉	—	8	32	no	—
516	C₂²×D₇₉	C₂⁵	1	2	yes	—
517	C₂²×D₇₉	C₂⁵	1	4	yes	—
518	C₂²×D₇₉	C₂⁵	1	8	yes	—
519	C₂²×D₇₉	C₂⁵	1	2	yes	—
520	Q₈×C₇₉	—	2	8	no	—
521	Q₈×C₇₉	—	2	2	no	—
522	D₄×C₇₉	—	2	4	no	—
523	D₄×C₇₉	—	2	16	no	—
524	D₄×C₇₉	—	2	2	no	—
525	D₄×C₇₉	—	2	8	no	—
526	D₄×C₇₉	—	2	8	no	—
527	D₄×C₇₉	—	4	8	no	—
528	D₄×C₇₉	—	4	16	no	—
529	C₂×C₄×C₇₉	—	2	4	no	—
530	C₂×C₄×C₇₉	—	2	8	no	—
531	C₂×C₄×C₇₉	—	2	4	no	—
532	C₂×C₄×C₇₉	—	4	16	no	—
533	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
534	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
535	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
536	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
537	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
538	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
539	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
540	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
541	C₂²⋊D₇₉	—	2	8	no	—
542	C₂²⋊D₇₉	—	2	4	no	—
543	C₂²⋊D₇₉	—	2	8	no	—
544	C₂²⋊D₇₉	—	2	32	no	—
545	C₂²⋊D₇₉	—	2	8	no	—
546	C₂²⋊D₇₉	—	4	16	no	—
547	C₂²⋊D₇₉	—	4	16	no	—
548	C₂²⋊D₇₉	—	4	16	no	—
549	C₂²⋊D₇₉	—	4	8	no	—
550	C₂²⋊D₇₉	—	4	8	no	—
551	C₂²⋊D₇₉	—	4	8	no	—
552	C₂×Dic₇₉	—	2	2	no	—
553	C₂×Dic₇₉	—	2	4	no	—
554	C₂×Dic₇₉	—	4	8	no	—
555	C₂×Dic₇₉	C₂⁵	1	2	yes	—
556	C₂×Dic₇₉	C₂⁵	1	2	yes	—
557	C₂×Dic₇₉	C₂⁵	1	2	yes	—
558	C₂×Dic₇₉	C₂⁵	1	4	yes	—
559	C₂×Dic₇₉	C₂⁵	1	4	yes	—
560	C₂×Dic₇₉	C₂⁵	1	2	yes	—
561	D₃₁₆	—	2	16	no	—
562	D₃₁₆	—	2	8	no	—
563	D₃₁₆	—	2	16	no	—
564	D₃₁₆	—	2	2	no	—
565	D₃₁₆	—	2	8	no	—
566	D₃₁₆	—	2	8	no	—
567	D₃₁₆	—	2	4	no	—
568	D₃₁₆	—	2	8	no	—
569	D₃₁₆	—	4	8	no	—
570	D₃₁₆	—	4	8	no	—
571	D₃₁₆	—	4	16	no	—
572	D₃₁₆	—	4	16	no	—
573	C₄×D₇₉	—	2	4	no	—
574	C₄×D₇₉	—	2	4	no	—
575	C₄×D₇₉	—	2	4	no	—
576	C₄×D₇₉	—	2	4	no	—
577	C₄×D₇₉	—	2	4	no	—
578	C₄×D₇₉	—	2	8	no	—
579	C₄×D₇₉	—	2	8	no	—
580	C₄×D₇₉	—	2	4	no	—
581	C₄×D₇₉	—	2	16	no	—
582	C₄×D₇₉	—	4	16	no	—
583	C₄×D₇₉	—	4	8	no	—
584	C₄×D₇₉	H(5,𝔽₂)	1	8	yes	complemented
585	Dic₁₅₈	—	2	2	no	—
586	Dic₁₅₈	—	2	4	no	—
587	Dic₁₅₈	—	2	8	no	—
588	C₂²×C₇₉	—	2	2	no	—
589	C₂²×C₇₉	—	2	4	no	—
590	C₂²×C₇₉	—	2	16	no	—
591	C₂²×C₇₉	—	2	2	no	—
592	C₂²×C₇₉	—	2	8	no	—
593	C₂²×C₇₉	—	8	8	no	—
594	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
595	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
596	C₂×D₇₉	—	2	8	no	—
597	C₂×D₇₉	—	2	2	no	—
598	C₂×D₇₉	—	2	2	no	—
599	C₂×D₇₉	—	2	2	no	—
600	C₂×D₇₉	—	2	4	no	—
601	C₂×D₇₉	—	2	16	no	—
602	C₂×D₇₉	—	2	4	no	—
603	C₂×D₇₉	—	2	8	no	—
604	C₂×D₇₉	—	2	8	no	—
605	C₂×D₇₉	—	8	32	no	—
606	C₂×D₇₉	—	8	8	no	—
607	C₂×D₇₉	—	16	8	no	—
608	C₂×D₇₉	—	16	8	no	—
609	C₂×D₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
610	C₄×C₇₉	—	2	4	no	—
611	C₄×C₇₉	—	2	2	no	—
612	C₄×C₇₉	—	2	2	no	—
613	C₄×C₇₉	—	2	8	no	—
614	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
615	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
616	C₄×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
617	Dic₇₉	—	2	4	no	—
618	Dic₇₉	—	2	4	no	—
619	Dic₇₉	—	2	2	no	—
620	Dic₇₉	—	2	2	no	—
621	Dic₇₉	—	2	2	no	—
622	Dic₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
623	#62832	—	79	1	no	maximal, Sylow
624	C₂×C₇₉	—	2	2	no	—
625	C₂×C₇₉	—	4	8	no	—
626	C₂×C₇₉	—	4	2	no	—
627	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	2	yes	—
628	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
629	D₇₉	—	2	4	no	—
630	D₇₉	—	4	8	no	—
631	D₇₉	—	4	2	no	—
632	D₇₉	—	4	4	no	—
633	#3543	—	79	4	no	—
634	#3543	—	79	4	no	—
635	#3543	—	79	8	no	—
636	#3543	—	79	8	no	—
637	#3508	—	79	4	no	—
638	#3508	—	79	1	no	—
639	#3508	—	79	4	no	—
640	#3508	—	79	2	no	—
641	#3508	D₇₉	1	1	yes	characteristic, complemented
642	#3498	—	79	4	no	—
643	#3498	—	79	2	no	—
644	#3498	—	79	4	no	—
645	#3498	—	79	1	no	—
646	#3498	—	79	1	no	—
647	#3484	—	79	8	no	—
648	#3484	—	79	2	no	—
649	#3484	—	79	2	no	—
650	#3444	—	79	1	no	—
651	#3444	—	79	1	no	—
652	C₂²×#127	—	79	1	no	—
653	C₇₉	#62832	1	1	yes	characteristic, complemented, Sylow
654	C₂×H(5,𝔽₂)	—	79	2	no	—
655	C₂×H(5,𝔽₂)	—	79	8	no	—
656	C₂×H(5,𝔽₂)	—	79	2	no	—
657	C₂³×D₄	—	79	2	no	—
658	C₂³×D₄	—	79	4	no	—
659	#560	—	79	16	no	—
660	#560	—	79	16	no	—
661	#559	—	79	8	no	—
662	#559	—	79	4	no	—
663	#559	—	79	8	no	—
664	#559	C₂×D₇₉	1	4	yes	complemented
665	#550	—	79	8	no	—
666	#550	—	79	4	no	—
667	#550	—	79	8	no	—
668	#550	—	79	4	no	—
669	#550	—	79	4	no	—
670	#550	—	79	8	no	—
671	#550	—	79	8	no	—
672	#550	C₂×D₇₉	1	4	yes	complemented
673	#546	—	79	8	no	—
674	#546	—	79	8	no	—
675	#546	—	79	8	no	—
676	#546	—	79	16	no	—
677	#546	—	79	8	no	—
678	#546	—	79	8	no	—
679	#546	—	79	8	no	—
680	#546	—	79	8	no	—
681	#546	—	79	16	no	—
682	#546	C₂×D₇₉	1	8	yes	complemented
683	D₄²	—	79	8	no	—
684	D₄²	—	79	4	no	—
685	D₄²	—	79	8	no	—
686	D₄²	—	79	8	no	—
687	D₄²	—	79	8	no	—
688	D₄²	—	79	16	no	—
689	D₄²	—	79	8	no	—
690	D₄²	—	79	8	no	—
691	D₄²	—	79	16	no	—
692	D₄²	—	79	8	no	—
693	D₄²	—	79	8	no	—
694	D₄²	—	79	8	no	—
695	D₄²	—	79	8	no	—
696	D₄²	—	79	4	no	—
697	#540	—	79	4	no	—
698	#540	—	79	16	no	—
699	#540	—	79	8	no	—
700	#540	—	79	8	no	—
701	#540	—	79	8	no	—
702	#540	C₂×D₇₉	1	4	yes	complemented
703	#535	—	79	8	no	—
704	#535	—	79	2	no	—
705	#535	—	79	4	no	—
706	#535	—	79	4	no	—
707	#535	—	79	8	no	—
708	#535	—	79	4	no	—
709	#535	—	79	8	no	—
710	#535	—	79	8	no	—
711	#535	—	79	16	no	—
712	#535	—	79	2	no	—
713	#535	—	79	2	no	—
714	#535	—	79	4	no	—
715	#535	C₂×D₇₉	1	2	yes	complemented
716	#534	—	79	16	no	—
717	#534	—	79	16	no	—
718	#534	—	79	8	no	—
719	#534	—	79	8	no	—
720	#533	—	79	2	no	—
721	#533	—	79	2	no	—
722	#533	—	79	1	no	—
723	#533	C₂×D₇₉	1	1	yes	characteristic, complemented
724	#532	—	79	1	no	—
725	#532	—	79	2	no	—
726	#532	—	79	4	no	—
727	#532	—	79	2	no	—
728	#532	—	79	4	no	—
729	#532	—	79	2	no	—
730	#532	—	79	8	no	—
731	#532	—	79	1	no	—
732	#532	—	79	2	no	—
733	#532	C₂×D₇₉	1	4	yes	complemented
734	C₂×#127	—	79	2	no	—
735	C₂×#127	—	79	4	no	—
736	C₂×#127	—	79	4	no	—
737	C₂×#127	—	79	4	no	—
738	C₂×#127	—	79	4	no	—
739	C₂×#127	—	79	4	no	—
740	C₂×#127	—	79	2	no	—
741	C₂×#127	—	79	4	no	—
742	C₂×#127	—	79	1	no	—
743	C₂×#127	—	79	2	no	—
744	C₂×#127	C₂×D₇₉	1	1	yes	characteristic, complemented
745	#529	—	79	4	no	—
746	#529	—	79	4	no	—
747	#529	—	79	4	no	—
748	#529	—	79	2	no	—
749	#529	—	79	4	no	—
750	#529	—	79	2	no	—
751	#529	—	79	4	no	—
752	#525	—	79	1	no	—
753	#525	—	79	4	no	—
754	#525	—	79	4	no	—
755	#525	—	79	2	no	—
756	#525	—	79	1	no	—
757	C₂×#120	—	79	8	no	—
758	C₂×#120	—	79	8	no	—
759	#518	—	79	8	no	—
760	#518	—	79	2	no	—
761	#518	C₂×D₇₉	1	2	yes	complemented
762	C₄×#41	—	79	4	no	—
763	C₄×#41	—	79	2	no	—
764	C₄×#41	—	79	1	no	—
765	C₄×#41	—	79	4	no	—
766	C₄×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
767	C₂²×C₄²	—	79	1	no	—
768	C₂⁵	—	79	4	no	—
769	H(5,𝔽₂)	—	316	8	no	—
770	H(5,𝔽₂)	—	316	8	no	—
771	H(5,𝔽₂)	—	316	32	no	—
772	C₂×#41	—	79	8	no	—
773	C₂×#41	—	79	4	no	—
774	C₂×#41	—	79	4	no	—
775	C₂×#41	—	79	4	no	—
776	C₂×#41	—	79	4	no	—
777	C₂×#41	—	79	4	no	—
778	C₂×#41	—	79	16	no	—
779	C₂×#41	—	79	4	no	—
780	C₂×#41	—	79	1	no	—
781	C₂×#41	—	79	2	no	—
782	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
783	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
784	C₂²×D₄	—	316	8	no	—
785	C₂²×D₄	—	316	16	no	—
786	C₂²×D₄	—	79	8	no	—
787	C₂²×D₄	—	79	4	no	—
788	C₂²×D₄	—	79	8	no	—
789	C₂²×D₄	—	79	8	no	—
790	C₂²×D₄	—	79	16	no	—
791	C₂²×D₄	—	79	8	no	—
792	C₂²×D₄	—	79	8	no	—
793	C₂²×D₄	—	79	8	no	—
794	C₂²×D₄	—	79	8	no	—
795	C₂²×D₄	—	79	8	no	—
796	C₂²×D₄	—	79	8	no	—
797	C₂²×D₄	—	79	4	no	—
798	C₂²×D₄	—	79	4	no	—
799	C₂²×D₄	—	79	4	no	—
800	C₂²×D₄	—	79	16	no	—
801	C₂²×D₄	—	79	8	no	—
802	C₂²×D₄	—	79	16	no	—
803	C₂²×D₄	—	79	4	no	—
804	C₂²×D₄	—	79	8	no	—
805	C₂²×D₄	—	79	4	no	—
806	C₂²×D₄	—	79	2	no	—
807	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
808	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
809	C₂³×C₄	—	79	2	no	—
810	C₂³×C₄	—	79	1	no	—
811	C₄⋊Q₈	—	79	1	no	—
812	C₄⋊Q₈	—	79	2	no	—
813	C₄⋊Q₈	—	79	1	no	—
814	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	complemented
815	#127	—	79	4	no	—
816	#127	—	79	1	no	—
817	#127	—	79	8	no	—
818	#127	—	79	4	no	—
819	#127	—	79	8	no	—
820	#127	—	79	8	no	—
821	#127	—	79	8	no	—
822	#127	—	79	8	no	—
823	#127	—	79	8	no	—
824	#127	—	79	4	no	—
825	#127	—	79	16	no	—
826	#127	—	79	2	no	—
827	#127	—	79	1	no	—
828	#127	—	79	2	no	—
829	#127	—	79	4	no	—
830	#127	—	79	4	no	—
831	#127	—	79	8	no	—
832	#127	—	79	4	no	—
833	#127	C₂²×D₇₉	1	2	yes	—
834	#127	C₂²×D₇₉	1	2	yes	—
835	#127	C₂²×D₇₉	1	4	yes	—
836	#127	C₂²×D₇₉	1	4	yes	complemented
837	#126	—	79	8	no	—
838	#126	—	79	4	no	—
839	#126	—	79	4	no	—
840	#125	—	79	4	no	—
841	#125	—	79	4	no	—
842	#125	—	79	2	no	—
843	#125	C₂²×D₇₉	1	2	yes	complemented
844	#124	—	79	4	no	—
845	#124	—	79	1	no	—
846	#124	—	79	8	no	—
847	#124	—	79	1	no	—
848	#124	—	79	4	no	—
849	#124	—	79	4	no	—
850	#124	—	79	16	no	—
851	#124	—	79	2	no	—
852	#124	—	79	4	no	—
853	#124	—	79	4	no	—
854	#124	C₂²×D₇₉	1	4	yes	complemented
855	#124	C₂²×D₇₉	1	8	yes	complemented
856	#123	—	79	2	no	—
857	#123	—	79	16	no	—
858	#123	—	79	8	no	—
859	#123	—	79	4	no	—
860	#123	—	79	16	no	—
861	#123	—	79	4	no	—
862	#123	—	79	4	no	—
863	#123	—	79	2	no	—
864	#123	—	79	16	no	—
865	#123	—	79	16	no	—
866	#123	—	79	16	no	—
867	#123	C₂²×D₇₉	1	16	yes	complemented
868	C₂²⋊Q₈	—	79	4	no	—
869	C₂²⋊Q₈	—	79	2	no	—
870	C₂²⋊Q₈	—	79	4	no	—
871	C₂²⋊Q₈	—	79	4	no	—
872	C₂²⋊Q₈	—	79	2	no	—
873	C₂²⋊Q₈	—	79	4	no	—
874	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
875	#121	—	79	2	no	—
876	#121	—	79	4	no	—
877	#121	—	79	8	no	—
878	#121	—	79	8	no	—
879	#121	—	79	16	no	—
880	#121	—	79	16	no	—
881	#121	—	79	16	no	—
882	#121	—	79	4	no	—
883	#121	—	79	8	no	—
884	#121	—	79	16	no	—
885	#121	—	79	16	no	—
886	#121	—	79	16	no	—
887	#121	—	79	4	no	—
888	#121	—	79	4	no	—
889	#121	—	79	2	no	—
890	#121	—	79	8	no	—
891	#121	—	79	8	no	—
892	#121	—	79	8	no	—
893	#121	—	79	16	no	—
894	#121	—	79	16	no	—
895	#121	—	79	4	no	—
896	#121	—	79	16	no	—
897	#121	—	79	16	no	—
898	#121	—	79	16	no	—
899	#121	—	79	16	no	—
900	#121	—	79	16	no	—
901	#121	C₂²×D₇₉	1	8	yes	complemented
902	#121	C₂²×D₇₉	1	8	yes	complemented
903	#121	C₂²×D₇₉	1	16	yes	complemented
904	#120	—	79	8	no	—
905	#120	—	79	2	no	—
906	#120	—	79	16	no	—
907	#120	—	79	16	no	—
908	#120	—	79	16	no	—
909	#120	—	79	16	no	—
910	#120	—	79	4	no	—
911	#120	—	79	2	no	—
912	#120	—	79	16	no	—
913	#120	—	79	16	no	—
914	#120	—	79	16	no	—
915	#120	—	79	8	no	—
916	#120	—	79	8	no	—
917	#120	—	79	16	no	—
918	#120	—	79	16	no	—
919	#120	—	79	16	no	—
920	#120	C₂²×D₇₉	1	8	yes	—
921	C₄×Q₈	—	79	4	no	—
922	C₄×Q₈	—	79	4	no	—
923	C₄×Q₈	—	79	4	no	—
924	C₄×Q₈	—	79	4	no	—
925	C₄×Q₈	—	79	2	no	—
926	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
927	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
928	C₄×D₄	—	79	8	no	—
929	C₄×D₄	—	79	4	no	—
930	C₄×D₄	—	79	4	no	—
931	C₄×D₄	—	79	4	no	—
932	C₄×D₄	—	79	4	no	—
933	C₄×D₄	—	79	4	no	—
934	C₄×D₄	—	79	16	no	—
935	C₄×D₄	—	79	8	no	—
936	C₄×D₄	—	79	4	no	—
937	C₄×D₄	—	79	4	no	—
938	C₄×D₄	—	79	8	no	—
939	C₄×D₄	—	79	8	no	—
940	C₄×D₄	—	79	8	no	—
941	C₄×D₄	—	79	16	no	—
942	C₄×D₄	—	79	8	no	—
943	C₄×D₄	—	79	4	no	—
944	C₄×D₄	—	79	4	no	—
945	C₄×D₄	—	79	4	no	—
946	C₄×D₄	—	79	2	no	—
947	C₄×D₄	—	79	8	no	—
948	C₄×D₄	—	79	8	no	—
949	C₄×D₄	C₂²×D₇₉	1	4	yes	—
950	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
951	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
952	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
953	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
954	#117	—	79	1	no	—
955	#117	—	79	4	no	—
956	#117	—	79	4	no	—
957	#117	—	79	8	no	—
958	#117	—	79	4	no	—
959	#117	—	79	4	no	—
960	#117	—	79	4	no	—
961	#117	—	79	2	no	—
962	#117	C₂²×D₇₉	1	2	yes	—
963	#117	C₂²×D₇₉	1	1	yes	characteristic
964	#117	C₂²×D₇₉	1	2	yes	complemented
965	C₂×C₂²⋊C₄	—	79	16	no	—
966	C₂×C₂²⋊C₄	—	79	8	no	—
967	C₂×C₂²⋊C₄	—	79	16	no	—
968	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
969	C₂×C₄²	—	79	1	no	—
970	C₂×C₄²	—	79	2	no	—
971	C₂×C₄²	—	79	4	no	—
972	C₂×C₄²	—	79	2	no	—
973	C₂×C₄²	—	79	2	no	—
974	C₂×C₄²	—	79	2	no	—
975	C₂×C₄²	—	79	2	no	—
976	C₂×C₄²	—	79	2	no	—
977	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₇₉	1	2	yes	complemented
979	C₂⁴	—	316	8	no	—
980	C₂⁴	—	316	16	no	—
981	C₂⁴	—	79	8	no	—
982	C₂⁴	—	79	8	no	—
983	C₂⁴	—	79	16	no	—
984	C₂⁴	—	79	4	no	—
985	C₂⁴	—	79	1	no	—
986	C₂⁴	C₂³×D₇₉	1	4	yes	—
987	#41	—	2	4	no	—
988	#41	—	4	16	no	—
989	#41	—	316	8	no	—
990	#41	—	316	32	no	—
991	#41	—	316	8	no	—
992	#41	—	316	8	no	—
993	#41	—	316	16	no	—
994	#41	—	316	8	no	—
995	#41	—	158	16	no	—
996	#41	—	158	16	no	—
997	#41	—	158	4	no	—
998	#41	—	158	8	no	—
999	C₂×Q₈	—	79	4	no	—
1000	C₂×Q₈	—	79	2	no	—
1001	C₂×Q₈	—	79	1	no	—
1002	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1003	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1004	C₂×D₄	—	2	8	no	—
1005	C₂×D₄	—	4	8	no	—
1006	C₂×D₄	—	316	8	no	—
1007	C₂×D₄	—	316	16	no	—
1008	C₂×D₄	—	316	8	no	—
1009	C₂×D₄	—	316	32	no	—
1010	C₂×D₄	—	316	16	no	—
1011	C₂×D₄	—	316	32	no	—
1012	C₂×D₄	—	316	16	no	—
1013	C₂×D₄	—	316	16	no	—
1014	C₂×D₄	—	316	16	no	—
1015	C₂×D₄	—	316	16	no	—
1016	C₂×D₄	—	316	16	no	—
1017	C₂×D₄	—	316	8	no	—
1018	C₂×D₄	—	316	8	no	—
1019	C₂×D₄	—	316	8	no	—
1020	C₂×D₄	—	316	16	no	—
1021	C₂×D₄	—	316	16	no	—
1022	C₂×D₄	—	316	32	no	—
1023	C₂×D₄	—	316	8	no	—
1024	C₂×D₄	—	316	16	no	—
1025	C₂×D₄	—	79	8	no	—
1026	C₂×D₄	—	79	8	no	—
1027	C₂×D₄	—	79	8	no	—
1028	C₂×D₄	—	79	16	no	—
1029	C₂×D₄	—	79	16	no	—
1030	C₂×D₄	—	79	16	no	—
1031	C₂×D₄	—	79	4	no	—
1032	C₂×D₄	—	79	4	no	—
1033	C₂×D₄	—	79	2	no	—
1034	C₂×D₄	—	79	4	no	—
1035	C₂×D₄	—	79	16	no	—
1036	C₂×D₄	—	79	16	no	—
1037	C₂×D₄	—	79	16	no	—
1038	C₂×D₄	—	79	8	no	—
1039	C₂×D₄	—	79	8	no	—
1040	C₂×D₄	—	79	8	no	—
1041	C₂×D₄	—	79	4	no	—
1042	C₂×D₄	—	79	4	no	—
1043	C₂×D₄	—	79	8	no	—
1044	C₂×D₄	—	79	2	no	—
1045	C₂×D₄	—	79	4	no	—
1046	C₂×D₄	—	79	1	no	—
1047	C₂×D₄	—	79	4	no	—
1048	C₂×D₄	—	158	32	no	—
1049	C₂×D₄	—	158	8	no	—
1050	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1051	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1052	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1053	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1054	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1055	C₂×D₄	C₂³×D₇₉	1	16	yes	—
1056	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1057	C₂²×C₄	—	79	8	no	—
1058	C₂²×C₄	—	79	16	no	—
1059	C₂²×C₄	—	79	8	no	—
1060	C₂²×C₄	—	79	2	no	—
1061	C₂²×C₄	—	79	2	no	—
1062	C₂²×C₄	—	79	1	no	—
1063	C₂²×C₄	—	79	2	no	—
1064	C₂²×C₄	—	79	2	no	—
1065	C₂²×C₄	—	79	2	no	—
1066	C₂²×C₄	—	79	2	no	—
1067	C₂²×C₄	—	79	2	no	—
1068	C₂²×C₄	—	79	8	no	—
1069	C₂²×C₄	—	79	4	no	—
1070	C₂²×C₄	—	79	2	no	—
1071	C₂²×C₄	—	79	4	no	—
1072	C₂²×C₄	—	158	8	no	—
1073	C₂²×C₄	—	158	4	no	—
1074	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1075	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1076	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1077	C₂²×C₄	C₂³×D₇₉	1	16	yes	—
1078	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1079	C₄⋊C₄	—	79	4	no	—
1080	C₄⋊C₄	—	79	4	no	—
1081	C₄⋊C₄	—	79	8	no	—
1082	C₄⋊C₄	—	79	4	no	—
1083	C₄⋊C₄	—	79	4	no	—
1084	C₄⋊C₄	—	79	4	no	—
1085	C₄⋊C₄	—	79	4	no	—
1086	C₄⋊C₄	—	79	2	no	—
1087	C₄⋊C₄	—	79	8	no	—
1088	C₄⋊C₄	—	79	4	no	—
1089	C₄⋊C₄	—	79	4	no	—
1090	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1091	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1092	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1093	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1094	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1095	C₂²⋊C₄	—	79	2	no	—
1096	C₂²⋊C₄	—	79	16	no	—
1097	C₂²⋊C₄	—	79	4	no	—
1098	C₂²⋊C₄	—	79	4	no	—
1099	C₂²⋊C₄	—	79	8	no	—
1100	C₂²⋊C₄	—	79	4	no	—
1101	C₂²⋊C₄	—	79	4	no	—
1102	C₂²⋊C₄	—	79	16	no	—
1103	C₂²⋊C₄	—	79	16	no	—
1104	C₂²⋊C₄	—	79	16	no	—
1105	C₂²⋊C₄	—	79	8	no	—
1106	C₂²⋊C₄	—	79	8	no	—
1107	C₂²⋊C₄	—	79	4	no	—
1108	C₂²⋊C₄	—	79	4	no	—
1109	C₂²⋊C₄	—	79	4	no	—
1110	C₂²⋊C₄	—	79	8	no	—
1111	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1112	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1113	C₂²⋊C₄	C₂³×D₇₉	1	2	yes	—
1114	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1115	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1116	C₄²	—	79	1	no	—
1117	C₄²	—	79	2	no	—
1118	C₄²	—	79	2	no	—
1119	C₄²	—	79	1	no	—
1120	C₄²	—	79	2	no	—
1121	C₄²	—	79	2	no	—
1122	C₄²	—	79	2	no	—
1123	C₄²	—	79	8	no	—
1124	C₄²	—	79	4	no	—
1125	C₄²	—	79	2	no	—
1126	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1127	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1128	C₄²	C₂³×D₇₉	1	2	yes	—
1129	C₄²	C₂³×D₇₉	1	4	yes	—
1130	C₄²	C₂³×D₇₉	1	4	yes	—
1131	C₄²	C₂³×D₇₉	1	2	yes	—
1132	C₂³	—	2	8	no	—
1133	C₂³	—	4	8	no	—
1134	C₂³	—	316	8	no	—
1135	C₂³	—	316	16	no	—
1136	C₂³	—	316	16	no	—
1137	C₂³	—	316	16	no	—
1138	C₂³	—	316	16	no	—
1139	C₂³	—	316	8	no	—
1140	C₂³	—	316	8	no	—
1141	C₂³	—	79	2	no	—
1142	C₂³	—	79	8	no	—
1143	C₂³	—	79	4	no	—
1144	C₂³	—	79	2	no	—
1145	C₂³	—	632	32	no	—
1146	C₂³	—	158	32	no	—
1147	C₂³	—	158	4	no	—
1148	C₂³	—	158	8	no	—
1149	C₂³	—	158	2	no	—
1150	C₂³	C₂⁴×D₇₉	1	2	yes	—
1151	C₂³	C₂⁴×D₇₉	1	8	yes	—
1152	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1153	Q₈	—	2	8	no	—
1154	Q₈	—	2	2	no	—
1155	Q₈	—	158	8	no	—
1156	Q₈	—	158	4	no	—
1157	Q₈	—	158	2	no	—
1158	D₄	—	2	4	no	—
1159	D₄	—	2	16	no	—
1160	D₄	—	2	8	no	—
1161	D₄	—	2	8	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	4	8	no	—
1164	D₄	—	4	16	no	—
1165	D₄	—	316	8	no	—
1166	D₄	—	316	16	no	—
1167	D₄	—	316	16	no	—
1168	D₄	—	316	8	no	—
1169	D₄	—	316	16	no	—
1170	D₄	—	316	16	no	—
1171	D₄	—	316	16	no	—
1172	D₄	—	316	8	no	—
1173	D₄	—	316	8	no	—
1174	D₄	—	316	8	no	—
1175	D₄	—	158	8	no	—
1176	D₄	—	158	16	no	—
1177	D₄	—	158	8	no	—
1178	D₄	—	158	32	no	—
1179	D₄	—	158	8	no	—
1180	D₄	—	158	8	no	—
1181	D₄	—	158	4	no	—
1182	D₄	—	158	8	no	—
1183	D₄	—	158	16	no	—
1184	D₄	—	158	4	no	—
1185	D₄	—	158	2	no	—
1186	D₄	—	158	8	no	—
1187	D₄	—	158	8	no	—
1188	C₂×C₄	—	2	4	no	—
1189	C₂×C₄	—	2	8	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	4	16	no	—
1192	C₂×C₄	—	316	16	no	—
1193	C₂×C₄	—	316	8	no	—
1194	C₂×C₄	—	316	8	no	—
1195	C₂×C₄	—	79	2	no	—
1196	C₂×C₄	—	79	8	no	—
1197	C₂×C₄	—	79	2	no	—
1198	C₂×C₄	—	79	2	no	—
1199	C₂×C₄	—	79	4	no	—
1200	C₂×C₄	—	79	4	no	—
1201	C₂×C₄	—	79	2	no	—
1202	C₂×C₄	—	158	4	no	—
1203	C₂×C₄	—	158	16	no	—
1204	C₂×C₄	—	158	4	no	—
1205	C₂×C₄	—	158	4	no	—
1206	C₂×C₄	—	158	2	no	—
1207	C₂×C₄	—	158	4	no	—
1208	C₂×C₄	—	158	8	no	—
1209	C₂×C₄	—	158	4	no	—
1210	C₂×C₄	—	158	4	no	—
1211	C₂×C₄	—	158	4	no	—
1212	C₂×C₄	—	158	8	no	—
1213	C₂×C₄	#14579207	1	4	yes	complemented
1214	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1215	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1216	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1217	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1218	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1219	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1220	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1221	C₂²	—	2	2	no	—
1222	C₂²	—	2	4	no	—
1223	C₂²	—	2	16	no	—
1224	C₂²	—	2	2	no	—
1225	C₂²	—	2	8	no	—
1226	C₂²	—	8	8	no	—
1227	C₂²	—	79	4	no	—
1228	C₂²	—	632	8	no	—
1229	C₂²	—	632	32	no	—
1230	C₂²	—	158	8	no	—
1231	C₂²	—	158	16	no	—
1232	C₂²	—	158	8	no	—
1233	C₂²	—	158	4	no	—
1234	C₂²	—	158	8	no	—
1235	C₂²	—	158	4	no	—
1236	C₂²	—	158	2	no	—
1237	C₂²	—	158	2	no	—
1238	C₂²	—	158	2	no	—
1239	C₂²	—	1264	8	no	—
1240	C₂²	—	1264	8	no	—
1241	C₂²	C₂×#14579207	1	2	yes	—
1242	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1243	C₄	—	2	4	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	8	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	79	4	no	—
1248	C₄	—	158	4	no	—
1249	C₄	—	158	2	no	—
1250	C₄	—	158	4	no	—
1251	C₄	—	158	2	no	—
1252	C₄	—	158	2	no	—
1253	C₄	H(5,𝔽₂)×D₇₉	1	4	yes	—
1254	C₄	C₂×#14579207	1	2	yes	—
1255	C₄	C₂×#14579207	1	2	yes	—
1256	C₂	—	2	2	no	—
1257	C₂	—	4	8	no	—
1258	C₂	—	4	2	no	—
1259	C₂	—	316	8	no	—
1260	C₂	—	316	4	no	—
1261	C₂	—	316	2	no	—
1262	C₂	—	158	4	no	—
1263	C₂	C₂×H(5,𝔽₂)×D₇₉	1	2	yes	—
1264	C₂	C₂²×#14579207	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3508	C₂
hypercenter	#3508	D₇₉
hypocenter	C₇₉	#62832
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3508

Complements

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

N	H ≅ G/N	type
1. #23777734	C₂	semidirect
2. #23777732	C₂	semidirect
3. #23777729	C₂	semidirect
4. #23777724	C₂	semidirect
5. #23777277	C₂	semidirect
6. #23777273	C₂	semidirect
7. #23777271	C₂	semidirect
8. #23777269	C₂	semidirect
9. #23777178	C₂	semidirect
10. #23777177	C₂	semidirect
11. #23777176	C₂	semidirect
12. #23777175	C₂	semidirect
13. #23777173	C₂	semidirect
14. #23777036	C₂	semidirect
15. #23777034	C₂	semidirect
16. #23777030	C₂	semidirect
17. #23776697	C₂	semidirect
18. #23776693	C₂	semidirect
19. C₂×#127×D₇₉	C₂	semidirect
20. C₇₉×#3508	C₂	semidirect
21. C₂×#14579207	C₂²	semidirect
22. C₂×#14579207	C₂²	semidirect
23. C₂×#14579206	C₂²	semidirect
24. C₂²×D₄×D₇₉	C₂²	semidirect
25. C₂²×D₄×D₇₉	C₂²	semidirect
26. #19099303	C₂²	semidirect
27. #19099301	C₂²	semidirect
28. #19099298	C₂²	semidirect
29. #19099296	C₂²	semidirect
30. #19099295	C₂²	semidirect
31. #19099235	C₂²	semidirect
32. #19099235	C₂²	semidirect
33. #19099234	C₂²	semidirect
34. #19099234	C₂²	semidirect
35. #19099233	C₂²	semidirect
36. #19099232	C₂²	semidirect
37. #19099231	C₂²	semidirect
38. #19099210	C₂²	semidirect
39. #19099208	C₂²	semidirect
40. #19099208	C₂²	semidirect
41. #19099206	C₂²	semidirect
42. #19099206	C₂²	semidirect
43. #19099205	C₂²	semidirect
44. #19099204	C₂²	semidirect
45. #19099203	C₂²	semidirect
46. #19099201	C₂²	semidirect
47. D₄×D₃₁₆	C₂²	semidirect
48. D₄×D₃₁₆	C₂²	semidirect
49. D₄×D₃₁₆	C₂²	semidirect
50. D₄×D₃₁₆	C₂²	semidirect
51. D₄×D₃₁₆	C₂²	semidirect
52. #19099198	C₂²	semidirect
53. #19099198	C₂²	semidirect
54. #19099197	C₂²	semidirect
55. #19099197	C₂²	semidirect
56. #19099197	C₂²	semidirect
57. #19099197	C₂²	semidirect
58. #19099197	C₂²	semidirect
59. D₄×C₂²⋊D₇₉	C₂²	semidirect
60. #19099195	C₂²	semidirect
61. #19099169	C₂²	semidirect
62. #19099166	C₂²	semidirect
63. #19099165	C₂²	semidirect
64. #19099164	C₂²	semidirect
65. #19099164	C₂²	semidirect
66. #19099132	C₂²	semidirect
67. #19099132	C₂²	semidirect
68. #19099132	C₂²	semidirect
69. #19099131	C₂²	semidirect
70. #19099131	C₂²	semidirect
71. #19099131	C₂²	semidirect
72. #19099130	C₂²	semidirect
73. #19099129	C₂²	semidirect
74. #19099129	C₂²	semidirect
75. #19099127	C₂²	semidirect
76. #19099126	C₂²	semidirect
77. #19099126	C₂²	semidirect
78. #19099125	C₂²	semidirect
79. #19099124	C₂²	semidirect
80. #19099123	C₂²	semidirect
81. #19099121	C₂²	semidirect
82. #19099118	C₂²	semidirect
83. #19099117	C₂²	semidirect
84. #19099116	C₂²	semidirect
85. #19099114	C₂²	semidirect
86. #19099114	C₂²	semidirect
87. #19099113	C₂²	semidirect
88. #19099113	C₂²	semidirect
89. #19099112	C₂²	semidirect
90. #19099111	C₂²	semidirect
91. #19099110	C₂²	semidirect
92. #19099110	C₂²	semidirect
93. #19099109	C₂²	semidirect
94. C₂×#14579158	C₂²	semidirect
95. C₂×#14579158	C₂²	semidirect
96. C₂×#14579157	C₂²	semidirect
97. C₂×#14579157	C₂²	semidirect
98. #127×D₇₉	C₂²	semidirect
99. #127×D₇₉	C₂²	semidirect
100. #127×D₇₉	C₂²	semidirect
101. #127×D₇₉	C₂²	semidirect
102. #127×D₇₉	C₂²	semidirect
103. #127×D₇₉	C₂²	semidirect
104. #19099100	C₂²	semidirect
105. #19099100	C₂²	semidirect
106. #19099099	C₂²	semidirect
107. #19099098	C₂²	semidirect
108. #19099095	C₂²	semidirect
109. #19099093	C₂²	semidirect
110. #19099091	C₂²	semidirect
111. #19099076	C₂²	semidirect
112. #19099075	C₂²	semidirect
113. #19099075	C₂²	semidirect
114. #19099072	C₂²	semidirect
115. #19099070	C₂²	semidirect
116. C₂×#14579131	C₂²	semidirect
117. #120×D₇₉	C₂²	semidirect
118. #19099037	C₂²	semidirect
119. #19099035	C₂²	semidirect
120. C₄×#11929625	C₂²	semidirect
121. C₄×#11929624	C₂²	semidirect
122. C₄×#11929624	C₂²	semidirect
123. #19099031	C₂²	semidirect
124. C₂×C₄²×D₇₉	C₂²	semidirect
125. #559×C₇₉	C₂²	semidirect
126. #550×C₇₉	C₂²	semidirect
127. #546×C₇₉	C₂²	semidirect
128. #540×C₇₉	C₂²	semidirect
129. #535×C₇₉	C₂²	semidirect
130. #533×C₇₉	C₂²	semidirect
131. #532×C₇₉	C₂²	semidirect
132. C₂×#127×C₇₉	C₂²	semidirect
133. #518×C₇₉	C₂²	semidirect
134. C₄×#41×C₇₉	C₂²	semidirect
140. C₂×#11929625	C₂³	semidirect
141. C₂×#11929625	C₂³	semidirect
145. C₂×#11929624	C₂³	semidirect
146. C₂×#11929624	C₂³	semidirect
147. C₂×#11929623	C₂³	semidirect
148. C₂×#11929623	C₂³	semidirect
152. C₂²×D₃₁₆	C₂³	semidirect
153. C₂²×D₃₁₆	C₂³	semidirect
167. C₂×D₄×D₇₉	C₂³	semidirect
168. C₂×D₄×D₇₉	C₂³	semidirect
169. C₂×D₄×D₇₉	C₂³	semidirect
170. C₂×D₄×D₇₉	C₂³	semidirect
171. C₂×D₄×D₇₉	C₂³	semidirect
174. #14579161	C₂³	semidirect
175. #14579160	C₂³	semidirect
176. #14579159	C₂³	semidirect
180. #14579158	C₂³	semidirect
181. #14579158	C₂³	semidirect
182. #14579158	C₂³	semidirect
183. #14579158	C₂³	semidirect
191. #14579157	C₂³	semidirect
192. #14579157	C₂³	semidirect
193. #14579157	C₂³	semidirect
194. #14579157	C₂³	semidirect
195. #14579156	C₂³	semidirect
196. #14579156	C₂³	semidirect
197. #14579154	C₂³	semidirect
198. #14579152	C₂³	semidirect
199. #14579152	C₂³	semidirect
200. #14579151	C₂³	semidirect
201. #14579150	C₂³	semidirect
202. #14579150	C₂³	semidirect
203. #14579150	C₂³	semidirect
204. #14579149	C₂³	semidirect
205. #14579149	C₂³	semidirect
206. #14579149	C₂³	semidirect
207. #14579148	C₂³	semidirect
208. #14579148	C₂³	semidirect
209. #14579147	C₂³	semidirect
210. #14579147	C₂³	semidirect
213. #14579146	C₂³	semidirect
216. #14579145	C₂³	semidirect
217. #14579144	C₂³	semidirect
219. #14579143	C₂³	semidirect
220. #14579143	C₂³	semidirect
231. #14579136	C₂³	semidirect
232. #14579136	C₂³	semidirect
233. #14579136	C₂³	semidirect
234. #14579136	C₂³	semidirect
235. #14579136	C₂³	semidirect
237. #14579135	C₂³	semidirect
238. #14579135	C₂³	semidirect
239. #14579135	C₂³	semidirect
240. #14579135	C₂³	semidirect
242. #14579134	C₂³	semidirect
243. #14579134	C₂³	semidirect
244. #14579134	C₂³	semidirect
245. #14579134	C₂³	semidirect
246. #14579134	C₂³	semidirect
248. #14579133	C₂³	semidirect
249. #14579133	C₂³	semidirect
251. #14579132	C₂³	semidirect
252. #14579132	C₂³	semidirect
253. #14579132	C₂³	semidirect
261. #14579131	C₂³	semidirect
262. #14579131	C₂³	semidirect
263. #14579131	C₂³	semidirect
267. #14579129	C₂³	semidirect
268. #14579129	C₂³	semidirect
269. #14579129	C₂³	semidirect
270. Q₈×Dic₇₉	C₂³	semidirect
271. C₄×Dic₁₅₈	C₂³	semidirect
272. C₄×Dic₁₅₈	C₂³	semidirect
273. C₄×Dic₁₅₈	C₂³	semidirect
274. #14579126	C₂³	semidirect
278. C₄×D₃₁₆	C₂³	semidirect
279. C₄×D₃₁₆	C₂³	semidirect
280. C₄×D₃₁₆	C₂³	semidirect
281. C₄×D₃₁₆	C₂³	semidirect
282. D₄×Dic₇₉	C₂³	semidirect
284. #14579123	C₂³	semidirect
285. #14579123	C₂³	semidirect
286. #14579123	C₂³	semidirect
287. #14579123	C₂³	semidirect
291. C₄×C₂²⋊D₇₉	C₂³	semidirect
292. C₄×C₂²⋊D₇₉	C₂³	semidirect
293. C₄×C₂²⋊D₇₉	C₂³	semidirect
295. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
297. #14579120	C₂³	semidirect
299. #14579119	C₂³	semidirect
301. #14579118	C₂³	semidirect
302. #14579118	C₂³	semidirect
303. #14579118	C₂³	semidirect
313. C₄²×D₇₉	C₂³	semidirect
314. C₄²×D₇₉	C₂³	semidirect
316. C₂×#41×C₇₉	C₂³	semidirect
319. C₄⋊Q₈×C₇₉	C₂³	semidirect
323. #127×C₇₉	C₂³	semidirect
324. #125×C₇₉	C₂³	semidirect
325. #124×C₇₉	C₂³	semidirect
326. #124×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
329. #121×C₇₉	C₂³	semidirect
330. #121×C₇₉	C₂³	semidirect
331. #121×C₇₉	C₂³	semidirect
333. C₄×Q₈×C₇₉	C₂³	semidirect
334. C₄×Q₈×C₇₉	C₂³	semidirect
336. C₄×D₄×C₇₉	C₂³	semidirect
337. C₄×D₄×C₇₉	C₂³	semidirect
338. C₄×D₄×C₇₉	C₂³	semidirect
339. C₄×D₄×C₇₉	C₂³	semidirect
342. #117×C₇₉	C₂³	semidirect
345. C₂×C₄²×C₇₉	C₂³	semidirect
533. C₂×C₄×C₇₉	H(5,𝔽₂)	semidirect
584. C₄×D₇₉	H(5,𝔽₂)	semidirect
641. #3508	D₇₉	semidirect
653. C₇₉	#62832	semidirect
664. #559	C₂×D₇₉	semidirect
672. #550	C₂×D₇₉	semidirect
682. #546	C₂×D₇₉	semidirect
702. #540	C₂×D₇₉	semidirect
715. #535	C₂×D₇₉	semidirect
723. #533	C₂×D₇₉	semidirect
733. #532	C₂×D₇₉	semidirect
744. C₂×#127	C₂×D₇₉	semidirect
761. #518	C₂×D₇₉	semidirect
766. C₄×#41	C₂×D₇₉	semidirect
783. C₂×#41	C₂²×D₇₉	semidirect
814. C₄⋊Q₈	C₂²×D₇₉	semidirect
836. #127	C₂²×D₇₉	semidirect
843. #125	C₂²×D₇₉	semidirect
854. #124	C₂²×D₇₉	semidirect
855. #124	C₂²×D₇₉	semidirect
867. #123	C₂²×D₇₉	semidirect
901. #121	C₂²×D₇₉	semidirect
902. #121	C₂²×D₇₉	semidirect
903. #121	C₂²×D₇₉	semidirect
926. C₄×Q₈	C₂²×D₇₉	semidirect
927. C₄×Q₈	C₂²×D₇₉	semidirect
950. C₄×D₄	C₂²×D₇₉	semidirect
951. C₄×D₄	C₂²×D₇₉	semidirect
952. C₄×D₄	C₂²×D₇₉	semidirect
953. C₄×D₄	C₂²×D₇₉	semidirect
964. #117	C₂²×D₇₉	semidirect
978. C₂×C₄²	C₂²×D₇₉	semidirect
1213. C₂×C₄	#14579207	semidirect

Maximal subgroups

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

subgroup	index
#23777734	2
#23777732	2
#23777729	2
#23777724	2
#23777277	2
#23777273	2
#23777271	2
#23777269	2
#23777178	2
#23777177	2
#23777176	2
#23777175	2
#23777173	2
#23777036	2
#23777034	2
#23777030	2
#23776697	2
#23776693	2
C₂×#127×D₇₉	2
C₇₉×#3508	2
#62832	79