Subgroups — #35197404

Order 20224.

7370 conjugacy classes of subgroups.

The subgroup lattice has 934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777295	C₂	1	4	yes	maximal, complemented
2	#23777294	C₂	1	4	yes	maximal, complemented
3	#23777275	C₂	1	4	yes	maximal, complemented
4	#23777274	C₂	1	4	yes	maximal, complemented
5	#23777251	C₂	1	8	yes	maximal, complemented
6	#23777132	C₂	1	8	yes	maximal, complemented
7	#23777129	C₂	1	8	yes	maximal, complemented
8	#23777087	C₂	1	8	yes	maximal, complemented
9	#23776813	C₂	1	8	yes	maximal, complemented
10	#23776805	C₂	1	1	yes	maximal, characteristic, complemented
11	#23776729	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099130	C₂	1	1	yes	maximal, characteristic, complemented
13	#23776603	C₂	1	1	yes	maximal, characteristic, complemented
14	#23776601	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099038	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#535×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#11929624	C₂²	1	1	yes	characteristic
18	#19099299	C₂²	1	16	yes	complemented
19	#19099295	C₂²	1	16	yes	complemented
20	#19099282	C₂²	1	16	yes	complemented
21	#19099277	C₂²	1	16	yes	complemented
22	#19099265	C₂²	1	16	yes	complemented
23	#19099260	C₂²	1	16	yes	complemented
24	#19099244	C₂²	1	32	yes	complemented
25	#19099239	C₂²	1	32	yes	complemented
26	#19099233	C₂²	1	16	yes	complemented
27	#19099213	C₂²	1	16	yes	complemented
28	#19099207	C₂²	1	32	yes	complemented
29	#19099200	C₂²	1	32	yes	complemented
30	#19099194	C₂²	1	4	yes	complemented
31	#19099191	C₂²	1	4	yes	complemented
32	#19099191	C₂²	1	4	yes	complemented
33	#19099189	C₂²	1	4	yes	—
34	#19099182	C₂²	1	16	yes	complemented
35	#19099180	C₂²	1	16	yes	complemented
36	#19099167	C₂²	1	16	yes	complemented
37	#19099166	C₂²	1	16	yes	complemented
38	#19099148	C₂²	1	32	yes	complemented
39	#19099141	C₂²	1	4	yes	complemented
40	#19099137	C₂²	1	2	yes	complemented
41	#19099134	C₂²	1	2	yes	complemented
42	#19099130	C₂²	1	4	yes	—
43	#19099130	C₂²	1	4	yes	—
44	#19099130	C₂²	1	4	yes	complemented
45	#19099130	C₂²	1	4	yes	complemented
46	#19099130	C₂²	1	2	yes	complemented
47	#19099127	C₂²	1	2	yes	complemented
48	#19099122	C₂²	1	4	yes	—
49	#19099120	C₂²	1	4	yes	complemented
50	#19099116	C₂²	1	4	yes	complemented
51	#19099116	C₂²	1	4	yes	complemented
52	#19099111	C₂²	1	16	yes	complemented
53	#19099109	C₂²	1	4	yes	complemented
54	#19099108	C₂²	1	16	yes	complemented
55	C₂×#14579157	C₂²	1	2	yes	complemented
56	#19099094	C₂²	1	16	yes	complemented
57	#19099092	C₂²	1	16	yes	complemented
58	C₂×#14579148	C₂²	1	2	yes	complemented
59	#19099074	C₂²	1	4	yes	complemented
60	#19099070	C₂²	1	4	yes	complemented
61	#19099069	C₂²	1	32	yes	complemented
62	C₂×#14579132	C₂²	1	4	yes	complemented
63	C₂×#14579130	C₂²	1	4	yes	—
64	#19099046	C₂²	1	4	yes	complemented
65	#19099046	C₂²	1	4	yes	complemented
66	#19099044	C₂²	1	4	yes	complemented
67	#19099043	C₂²	1	4	yes	complemented
68	#19099041	C₂²	1	2	yes	complemented
69	#19099040	C₂²	1	2	yes	complemented
70	#19099038	C₂²	1	4	yes	—
71	#19099038	C₂²	1	4	yes	complemented
72	#19099038	C₂²	1	4	yes	complemented
73	#19099038	C₂²	1	4	yes	complemented
74	#19099038	C₂²	1	4	yes	complemented
75	#19099038	C₂²	1	2	yes	complemented
76	#19099037	C₂²	1	2	yes	complemented
77	#19099036	C₂²	1	4	yes	—
78	#41×Dic₇₉	C₂²	1	4	yes	complemented
79	#41×Dic₇₉	C₂²	1	4	yes	complemented
80	C₄×#11929624	C₂²	1	4	yes	complemented
81	#19099031	C₂²	1	4	yes	complemented
82	C₂×D₄×Dic₇₉	C₂²	1	4	yes	complemented
83	C₂×D₄×Dic₇₉	C₂²	1	4	yes	complemented
84	C₂×#14579120	C₂²	1	1	yes	characteristic
85	C₂×#14579120	C₂²	1	1	yes	characteristic
86	C₂×#14579120	C₂²	1	1	yes	characteristic
87	C₂×#14579120	C₂²	1	4	yes	complemented
88	#117×D₇₉	C₂²	1	4	yes	complemented
89	C₂²×C₂²⋊Dic₇₉	C₂²	1	4	yes	—
90	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic
91	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic
92	#535×C₇₉	C₂²	1	4	yes	—
93	#535×C₇₉	C₂²	1	4	yes	—
94	#535×C₇₉	C₂²	1	4	yes	complemented
95	#535×C₇₉	C₂²	1	4	yes	complemented
96	C₂×#127×C₇₉	C₂²	1	2	yes	complemented
97	C₂×#124×C₇₉	C₂²	1	2	yes	complemented
98	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
99	C₂×#120×C₇₉	C₂²	1	4	yes	—
100	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic
101	C₂×#11929624	—	2	8	no	—
102	C₂×#11929624	C₂³	1	2	yes	—
103	C₂×#11929624	C₂³	1	2	yes	—
104	C₂×#11929624	C₂³	1	2	yes	—
105	C₂×#11929624	C₂³	1	2	yes	—
106	C₂×#11929623	C₂³	1	32	yes	complemented
107	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
108	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
109	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
110	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
111	C₂³×Dic₇₉	C₂³	1	8	yes	—
112	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
113	#14579161	C₂³	1	8	yes	complemented
114	#14579160	C₂³	1	8	yes	complemented
115	#14579160	C₂³	1	8	yes	complemented
116	#14579159	C₂³	1	4	yes	complemented
117	#14579157	C₂³	1	8	yes	—
118	#14579157	C₂³	1	8	yes	—
119	#14579157	C₂³	1	4	yes	complemented
120	#14579154	C₂³	1	32	yes	complemented
121	#14579154	C₂³	1	32	yes	complemented
122	#14579153	C₂³	1	8	yes	complemented
123	#14579152	C₂³	1	8	yes	complemented
124	#14579152	C₂³	1	8	yes	complemented
125	#14579150	C₂³	1	4	yes	complemented
126	#14579148	C₂³	1	8	yes	—
127	#14579148	C₂³	1	8	yes	—
128	#14579148	C₂³	1	32	yes	complemented
129	#14579148	C₂³	1	4	yes	complemented
130	#14579147	C₂³	1	32	yes	complemented
131	#14579145	C₂³	1	32	yes	complemented
132	#14579144	C₂³	1	8	yes	—
133	#14579143	C₂³	1	32	yes	complemented
134	#14579142	C₂³	1	8	yes	—
135	#14579142	C₂³	1	32	yes	complemented
136	#14579142	C₂³	1	32	yes	complemented
137	#14579140	C₂³	1	16	yes	—
138	#14579140	C₂³	1	8	yes	complemented
139	#14579138	C₂³	1	16	yes	—
140	#14579138	C₂³	1	16	yes	—
141	#14579138	C₂³	1	32	yes	complemented
142	#14579137	C₂³	1	8	yes	complemented
143	#14579135	C₂³	1	8	yes	complemented
144	#14579133	C₂³	1	16	yes	—
145	#14579133	C₂³	1	32	yes	complemented
146	#14579133	C₂³	1	32	yes	complemented
147	#14579132	C₂³	1	16	yes	—
148	#14579132	C₂³	1	16	yes	—
149	#14579132	C₂³	1	8	yes	complemented
150	#14579132	C₂³	1	32	yes	complemented
151	#14579130	C₂³	1	16	yes	—
152	#14579130	C₂³	1	8	yes	—
153	#14579130	C₂³	1	16	yes	—
154	#14579129	C₂³	1	8	yes	—
155	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
156	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
157	C₄×Dic₁₅₈	C₂³	1	16	yes	complemented
158	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
159	#14579126	C₂³	1	8	yes	complemented
160	C₄×D₃₁₆	C₂³	1	8	yes	complemented
161	D₄×Dic₇₉	C₂³	1	16	yes	—
162	D₄×Dic₇₉	C₂³	1	16	yes	—
163	D₄×Dic₇₉	C₂³	1	16	yes	—
164	D₄×Dic₇₉	C₂³	1	16	yes	—
165	D₄×Dic₇₉	C₂³	1	16	yes	—
166	D₄×Dic₇₉	C₂³	1	16	yes	—
167	D₄×Dic₇₉	C₂³	1	8	yes	complemented
168	D₄×Dic₇₉	C₂³	1	32	yes	complemented
169	D₄×Dic₇₉	C₂³	1	8	yes	complemented
170	#14579123	C₂³	1	8	yes	complemented
171	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
172	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
173	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
174	(C₂²⋊D₇₉)⋊C₄	C₂³	1	32	yes	complemented
175	#14579120	C₂³	1	2	yes	—
176	#14579120	C₂³	1	2	yes	—
177	#14579120	C₂³	1	2	yes	—
178	#14579120	C₂³	1	2	yes	—
179	#14579120	C₂³	1	2	yes	—
180	#14579120	C₂³	1	8	yes	—
181	#14579120	C₂³	1	2	yes	—
182	#14579120	C₂³	1	2	yes	—
183	#14579120	C₂³	1	2	yes	—
184	#14579120	C₂³	1	2	yes	—
185	#14579120	C₂³	1	2	yes	—
186	#14579120	C₂³	1	2	yes	—
187	#14579120	C₂³	1	2	yes	—
188	#14579120	C₂³	1	8	yes	complemented
189	#14579120	C₂³	1	8	yes	complemented
190	#14579119	C₂³	1	8	yes	complemented
191	#14579118	C₂³	1	8	yes	complemented
192	#14579117	C₂³	1	8	yes	—
193	#14579117	C₂³	1	32	yes	complemented
194	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
195	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
196	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
197	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
198	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
199	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
200	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	—
203	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
204	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	—
205	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
206	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
207	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
208	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
209	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
210	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
211	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
212	C₄²×D₇₉	C₂³	1	8	yes	complemented
213	C₂⁵×C₇₉	C₂³	1	2	yes	—
214	C₂×#41×C₇₉	—	2	8	no	—
215	C₂×#41×C₇₉	C₂³	1	2	yes	—
216	C₂×#41×C₇₉	C₂³	1	2	yes	—
217	C₂×#41×C₇₉	C₂³	1	2	yes	—
218	C₂×#41×C₇₉	C₂³	1	2	yes	—
219	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
220	C₂²×D₄×C₇₉	—	2	8	no	—
221	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
222	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
223	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
224	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
226	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
227	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
228	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
229	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
230	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
231	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
232	#127×C₇₉	C₂³	1	8	yes	—
233	#127×C₇₉	C₂³	1	8	yes	—
234	#124×C₇₉	C₂³	1	8	yes	—
235	#124×C₇₉	C₂³	1	8	yes	—
236	#121×C₇₉	C₂³	1	16	yes	—
237	#121×C₇₉	C₂³	1	16	yes	—
238	#120×C₇₉	C₂³	1	16	yes	—
239	#120×C₇₉	C₂³	1	16	yes	—
240	#117×C₇₉	C₂³	1	2	yes	—
241	#117×C₇₉	C₂³	1	2	yes	—
242	#117×C₇₉	C₂³	1	2	yes	—
243	#117×C₇₉	C₂³	1	2	yes	—
244	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
245	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
246	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
247	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
248	C₂³×D₇₉	C₂⁴	1	2	yes	—
249	#11929624	—	2	8	no	—
250	#11929624	—	2	8	no	—
251	#11929624	—	2	8	no	—
252	#11929624	—	2	8	no	—
253	#11929623	—	8	32	no	—
254	C₂×Dic₁₅₈	—	2	4	no	—
255	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
256	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
257	C₂×Dic₁₅₈	C₂⁴	1	16	yes	—
258	C₂×D₃₁₆	—	2	4	no	—
259	C₂×D₃₁₆	C₂⁴	1	2	yes	—
260	C₂×D₃₁₆	C₂⁴	1	2	yes	—
261	C₂×C₂²⋊D₇₉	—	2	8	no	—
262	C₂×C₂²⋊D₇₉	—	8	8	no	—
263	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
264	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
265	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
266	C₂×C₂²⋊D₇₉	C₂⁴	1	32	yes	—
267	C₂²×Dic₇₉	—	8	8	no	—
268	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
269	C₂²×Dic₇₉	C₂⁴	1	16	yes	—
270	C₂²×Dic₇₉	C₂⁴	1	32	yes	—
271	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
272	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
273	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
274	C₂×C₄×D₇₉	—	2	8	no	—
275	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
276	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
277	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
278	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
279	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
280	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
281	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
282	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
283	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
284	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
285	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
286	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
287	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
288	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
289	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
290	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
291	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
292	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
293	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
294	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
295	C₂²⋊Dic₇₉	C₂⁴	1	32	yes	—
296	C₂²⋊Dic₇₉	C₂⁴	1	32	yes	—
297	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
298	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
299	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
300	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
301	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
302	C₄×Dic₇₉	C₂⁴	1	4	yes	—
303	C₄×Dic₇₉	C₂⁴	1	16	yes	—
304	C₄×Dic₇₉	C₂⁴	1	4	yes	—
305	C₄×Dic₇₉	C₂⁴	1	4	yes	—
306	C₄×Dic₇₉	C₂⁴	1	4	yes	—
307	C₄×Dic₇₉	C₂⁴	1	4	yes	—
308	C₄×Dic₇₉	C₂⁴	1	4	yes	—
309	C₄×Dic₇₉	C₂⁴	1	16	yes	—
310	C₂⁴×C₇₉	—	2	8	no	—
311	C₂⁴×C₇₉	—	8	4	no	—
312	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
313	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
314	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
315	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
316	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
317	#41×C₇₉	—	2	8	no	—
318	#41×C₇₉	—	2	8	no	—
319	#41×C₇₉	—	2	8	no	—
320	#41×C₇₉	—	2	8	no	—
321	C₂×Q₈×C₇₉	—	2	4	no	—
322	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
323	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
324	C₂×D₄×C₇₉	—	2	8	no	—
325	C₂×D₄×C₇₉	—	2	8	no	—
326	C₂×D₄×C₇₉	—	2	8	no	—
327	C₂×D₄×C₇₉	—	2	8	no	—
328	C₂×D₄×C₇₉	—	2	8	no	—
329	C₂×D₄×C₇₉	—	2	8	no	—
330	C₂×D₄×C₇₉	—	2	8	no	—
331	C₂×D₄×C₇₉	—	2	4	no	—
332	C₂×D₄×C₇₉	—	8	8	no	—
333	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
334	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
335	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
336	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
337	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
338	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
339	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
340	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
341	C₂×D₄×C₇₉	C₂⁴	1	32	yes	—
342	C₂²×C₄×C₇₉	—	2	8	no	—
343	C₂²×C₄×C₇₉	#41	1	8	yes	complemented
344	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
346	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
348	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
354	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
355	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
356	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
357	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
358	C₂²⋊C₄×C₇₉	C₂⁴	1	32	yes	—
359	C₄²×C₇₉	C₂⁴	1	4	yes	—
360	C₄²×C₇₉	C₂⁴	1	4	yes	—
361	C₂³×C₇₉	—	2	8	no	—
362	C₂³×C₇₉	—	2	4	no	—
363	C₂³×C₇₉	—	2	8	no	—
364	C₂³×C₇₉	—	2	8	no	—
365	C₂³×C₇₉	—	4	8	no	—
366	C₂³×C₇₉	—	4	2	no	—
367	C₂³×C₇₉	—	4	8	no	—
368	C₂³×C₇₉	—	4	4	no	—
369	C₂³×C₇₉	—	4	8	no	—
370	C₂³×C₇₉	—	8	16	no	—
371	C₂³×C₇₉	C₂×#41	1	4	yes	—
372	C₂³×C₇₉	C₂⁵	1	8	yes	—
373	C₂³×C₇₉	C₂⁵	1	4	yes	—
374	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
375	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
376	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
377	C₂²×D₇₉	—	2	4	no	—
378	C₂²×D₇₉	—	4	4	no	—
379	C₂²×D₇₉	C₂⁵	1	4	yes	—
380	Q₈×C₇₉	—	2	4	no	—
381	Q₈×C₇₉	—	2	4	no	—
382	D₄×C₇₉	—	2	8	no	—
383	D₄×C₇₉	—	2	8	no	—
384	D₄×C₇₉	—	2	8	no	—
385	D₄×C₇₉	—	2	8	no	—
386	D₄×C₇₉	—	2	8	no	—
387	D₄×C₇₉	—	2	8	no	—
388	D₄×C₇₉	—	2	4	no	—
389	D₄×C₇₉	—	2	4	no	—
390	D₄×C₇₉	—	4	32	no	—
391	C₂×C₄×C₇₉	—	2	4	no	—
392	C₂×C₄×C₇₉	—	2	8	no	—
393	C₂×C₄×C₇₉	—	2	8	no	—
394	C₂×C₄×C₇₉	—	4	4	no	—
395	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
396	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
397	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
398	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
399	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
400	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
401	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
402	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
403	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
404	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
405	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
406	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
407	C₂²⋊D₇₉	—	2	8	no	—
408	C₂²⋊D₇₉	—	2	8	no	—
409	C₂²⋊D₇₉	—	4	32	no	—
410	C₂²⋊D₇₉	—	4	16	no	—
411	C₂×Dic₇₉	—	2	4	no	—
412	C₂×Dic₇₉	—	4	4	no	—
413	C₂×Dic₇₉	—	4	4	no	—
414	C₂×Dic₇₉	—	4	32	no	—
415	C₂×Dic₇₉	—	4	4	no	—
416	C₂×Dic₇₉	—	4	16	no	—
417	C₂×Dic₇₉	C₂⁵	1	8	yes	—
418	C₂×Dic₇₉	C₂⁵	1	4	yes	—
419	C₂×Dic₇₉	C₂⁵	1	8	yes	—
420	C₂×Dic₇₉	C₂⁵	1	8	yes	—
421	D₃₁₆	—	2	4	no	—
422	D₃₁₆	—	2	4	no	—
423	C₄×D₇₉	—	2	8	no	—
424	C₄×D₇₉	—	2	8	no	—
425	C₄×D₇₉	—	4	16	no	—
426	Dic₁₅₈	—	2	4	no	—
427	Dic₁₅₈	—	2	4	no	—
428	Dic₁₅₈	—	4	16	no	—
429	C₂²×C₇₉	—	2	2	no	—
430	C₂²×C₇₉	—	2	2	no	—
431	C₂²×C₇₉	—	2	2	no	—
432	C₂²×C₇₉	—	2	4	no	—
433	C₂²×C₇₉	—	2	8	no	—
434	C₂²×C₇₉	—	2	8	no	—
435	C₂²×C₇₉	—	2	16	no	—
436	C₂²×C₇₉	—	4	4	no	—
437	C₂²×C₇₉	—	4	16	no	—
438	C₂²×C₇₉	—	8	4	no	—
439	C₂²×C₇₉	—	8	8	no	—
440	C₂²×C₇₉	—	8	8	no	—
441	C₂²×C₇₉	C₂²×#41	1	2	yes	—
442	C₂²×C₇₉	C₂²×#41	1	2	yes	—
443	C₂²×C₇₉	C₂²×#41	1	2	yes	—
444	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
445	C₂×D₇₉	—	2	4	no	—
446	C₂×D₇₉	—	2	8	no	—
447	C₂×D₇₉	—	8	4	no	—
448	C₄×C₇₉	—	2	4	no	—
449	C₄×C₇₉	—	2	8	no	—
450	C₄×C₇₉	C₂²×#41	1	2	yes	—
451	C₄×C₇₉	C₂²×#41	1	2	yes	—
452	C₄×C₇₉	C₂²×#41	1	2	yes	—
453	C₄×C₇₉	C₂²×#41	1	2	yes	—
454	Dic₇₉	—	2	4	no	—
455	Dic₇₉	—	2	8	no	—
456	Dic₇₉	—	2	8	no	—
457	Dic₇₉	—	2	8	no	—
458	#62855	—	79	1	no	maximal, Sylow
459	C₂×C₇₉	—	2	2	no	—
460	C₂×C₇₉	—	2	2	no	—
461	C₂×C₇₉	—	2	2	no	—
462	C₂×C₇₉	—	4	8	no	—
463	C₂×C₇₉	—	4	4	no	—
464	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
465	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
466	D₇₉	—	4	4	no	—
467	#3510	—	79	4	no	—
468	#3510	—	79	4	no	—
469	#3508	—	79	4	no	—
470	#3508	—	79	4	no	—
471	#3506	—	79	8	no	—
472	#3494	—	79	8	no	—
473	#3494	—	79	8	no	—
474	#3490	—	79	8	no	—
475	#3460	—	79	8	no	—
476	#3458	—	79	1	no	—
477	#3449	—	79	1	no	—
478	C₂×#535	—	79	1	no	—
479	C₂×#535	D₇₉	1	1	yes	characteristic, complemented
480	#3428	—	79	1	no	—
481	#3428	—	79	1	no	—
482	C₂×#518	—	79	1	no	—
483	C₇₉	#62855	1	1	yes	characteristic, complemented, Sylow
484	C₂²×#41	—	79	1	no	—
485	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic
486	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic
487	#559	—	79	16	no	—
488	#559	—	79	16	no	—
489	#556	—	79	16	no	—
490	#555	—	79	16	no	—
491	#553	—	79	16	no	—
492	#553	—	79	16	no	—
493	#551	—	79	32	no	—
494	#551	—	79	32	no	—
495	#550	—	79	16	no	—
496	#547	—	79	16	no	—
497	#546	—	79	32	no	—
498	#546	—	79	32	no	—
499	#544	—	79	4	no	—
500	#544	—	79	4	no	—
501	#544	—	79	4	no	—
502	#543	—	79	4	no	—
503	#542	—	79	16	no	—
504	#542	—	79	16	no	—
505	#540	—	79	16	no	—
506	#540	—	79	16	no	—
507	#538	—	79	32	no	—
508	#537	—	79	4	no	—
509	#536	—	79	2	no	—
510	#536	—	79	2	no	—
511	#535	—	79	2	no	—
512	#535	—	79	4	no	—
513	#535	—	79	4	no	—
514	#535	—	79	4	no	—
515	#535	—	79	4	no	—
516	#535	—	79	2	no	—
517	#535	C₂×D₇₉	1	4	yes	—
518	#535	C₂×D₇₉	1	4	yes	—
519	#535	C₂×D₇₉	1	4	yes	complemented
520	#535	C₂×D₇₉	1	4	yes	complemented
521	#534	—	79	4	no	—
522	#533	—	79	4	no	—
523	#533	—	79	4	no	—
524	#533	—	79	4	no	—
525	#532	—	79	4	no	—
526	#532	—	79	16	no	—
527	#532	—	79	16	no	—
528	C₂×#127	—	79	2	no	—
529	C₂×#127	C₂×D₇₉	1	2	yes	complemented
530	#529	—	79	16	no	—
531	#529	—	79	16	no	—
532	C₂×#124	—	79	2	no	—
533	C₂×#124	C₂×D₇₉	1	2	yes	complemented
534	#525	—	79	4	no	—
535	#525	—	79	4	no	—
536	#525	—	79	32	no	—
537	C₂×#121	—	79	4	no	—
538	C₂×#121	C₂×D₇₉	1	4	yes	complemented
539	C₂×#120	—	79	4	no	—
540	C₂×#120	C₂×D₇₉	1	4	yes	—
541	#520	—	79	4	no	—
542	#520	—	79	4	no	—
543	#520	—	79	4	no	—
544	#520	—	79	4	no	—
545	#519	—	79	2	no	—
546	#519	—	79	2	no	—
547	#518	—	79	4	no	—
548	#518	—	79	4	no	—
549	#518	—	79	4	no	—
550	#518	—	79	4	no	—
551	#518	—	79	4	no	—
552	#518	—	79	2	no	—
553	#518	—	79	2	no	—
554	#518	—	79	4	no	—
555	C₄×#41	—	79	4	no	—
556	C₄×#41	—	79	4	no	—
557	C₄×#41	—	79	4	no	—
558	C₄×#41	—	79	4	no	—
559	C₂×C₄×D₄	—	79	4	no	—
560	C₂×C₄×D₄	—	79	4	no	—
561	C₂×#117	—	79	1	no	—
562	C₂×#117	—	79	1	no	—
563	C₂×#117	—	79	1	no	—
564	C₂×#117	—	79	4	no	—
565	C₂×#117	—	79	4	no	—
566	C₂×#117	C₂×D₇₉	1	1	yes	characteristic
567	C₂²×C₂²⋊C₄	—	79	4	no	—
568	C₂⁵	C₂²×D₇₉	1	2	yes	—
569	C₂×#41	—	2	8	no	—
570	C₂×#41	—	79	32	no	—
571	C₂×#41	—	79	2	no	—
572	C₂×#41	—	79	2	no	—
573	C₂×#41	—	79	2	no	—
574	C₂×#41	—	79	2	no	—
575	C₂×#41	—	158	8	no	—
576	C₂×#41	C₂²×D₇₉	1	2	yes	—
577	C₂×#41	C₂²×D₇₉	1	2	yes	—
578	C₂×#41	C₂²×D₇₉	1	2	yes	—
579	C₂×#41	C₂²×D₇₉	1	2	yes	—
580	C₂²×Q₈	—	79	1	no	—
581	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
582	C₂²×D₄	—	2	8	no	—
583	C₂²×D₄	—	79	8	no	—
584	C₂²×D₄	—	79	2	no	—
585	C₂²×D₄	—	79	1	no	—
586	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
587	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
588	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
589	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
590	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
591	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
592	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
593	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
594	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
595	C₂³×C₄	—	79	8	no	—
596	C₂³×C₄	—	79	2	no	—
597	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
598	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
599	C₄⋊Q₈	—	79	4	no	—
600	C₄⋊Q₈	—	79	8	no	—
601	C₄⋊Q₈	—	79	8	no	—
602	C₄⋊Q₈	—	79	8	no	—
603	#127	—	79	8	no	—
604	#127	—	79	8	no	—
605	#127	—	79	4	no	—
606	#127	C₂²×D₇₉	1	8	yes	—
607	#127	C₂²×D₇₉	1	8	yes	—
608	#126	—	79	32	no	—
609	#126	—	79	32	no	—
610	#125	—	79	8	no	—
611	#125	—	79	8	no	—
612	#125	—	79	8	no	—
613	#124	—	79	4	no	—
614	#124	—	79	8	no	—
615	#124	—	79	8	no	—
616	#124	—	79	4	no	—
617	#124	—	79	32	no	—
618	#124	—	79	32	no	—
619	#124	C₂²×D₇₉	1	8	yes	—
620	#124	C₂²×D₇₉	1	8	yes	—
621	#123	—	79	8	no	—
622	#123	—	79	32	no	—
623	#123	—	79	32	no	—
624	#123	—	79	8	no	—
625	#123	—	79	32	no	—
626	#123	—	79	32	no	—
627	C₂²⋊Q₈	—	79	8	no	—
628	C₂²⋊Q₈	—	79	8	no	—
629	C₂²⋊Q₈	—	79	16	no	—
630	C₂²⋊Q₈	—	79	16	no	—
631	C₂²⋊Q₈	—	79	32	no	—
632	C₂²⋊Q₈	—	79	16	no	—
633	#121	—	79	16	no	—
634	#121	—	79	16	no	—
635	#121	—	79	16	no	—
636	#121	—	79	8	no	—
637	#121	—	79	32	no	—
638	#121	—	79	32	no	—
639	#121	—	79	32	no	—
640	#121	—	79	8	no	—
641	#121	C₂²×D₇₉	1	16	yes	—
642	#121	C₂²×D₇₉	1	16	yes	—
643	#120	—	79	16	no	—
644	#120	—	79	16	no	—
645	#120	—	79	8	no	—
646	#120	—	79	8	no	—
647	#120	C₂²×D₇₉	1	16	yes	—
648	#120	C₂²×D₇₉	1	16	yes	—
649	C₄×Q₈	—	79	8	no	—
650	C₄×Q₈	—	79	8	no	—
651	C₄×Q₈	—	79	8	no	—
652	C₄×Q₈	—	79	8	no	—
653	C₄×Q₈	—	79	16	no	—
654	C₄×D₄	—	79	16	no	—
655	C₄×D₄	—	79	16	no	—
656	C₄×D₄	—	79	16	no	—
657	C₄×D₄	—	79	16	no	—
658	C₄×D₄	—	79	16	no	—
659	C₄×D₄	—	79	8	no	—
660	C₄×D₄	—	79	16	no	—
661	C₄×D₄	—	79	8	no	—
662	C₄×D₄	—	79	32	no	—
663	C₄×D₄	—	79	16	no	—
664	C₄×D₄	—	79	16	no	—
665	C₄×D₄	—	79	8	no	—
666	C₄×D₄	—	79	16	no	—
667	C₄×D₄	—	79	32	no	—
668	C₄×D₄	—	79	8	no	—
669	#117	—	79	2	no	—
670	#117	—	79	2	no	—
671	#117	—	79	2	no	—
672	#117	—	79	2	no	—
673	#117	—	79	2	no	—
674	#117	—	79	2	no	—
675	#117	—	79	8	no	—
676	#117	—	79	2	no	—
677	#117	—	79	2	no	—
678	#117	—	79	2	no	—
679	#117	—	79	2	no	—
680	#117	—	79	2	no	—
681	#117	—	79	8	no	—
682	#117	—	79	2	no	—
683	#117	—	79	8	no	—
684	#117	—	79	8	no	—
685	#117	—	79	8	no	—
686	#117	—	79	32	no	—
687	#117	—	79	8	no	—
688	#117	C₂²×D₇₉	1	2	yes	—
689	#117	C₂²×D₇₉	1	2	yes	—
690	#117	C₂²×D₇₉	1	2	yes	—
691	#117	C₂²×D₇₉	1	2	yes	—
692	C₂×C₄⋊C₄	—	79	2	no	—
693	C₂×C₄⋊C₄	—	79	2	no	—
694	C₂×C₄⋊C₄	—	79	2	no	—
695	C₂×C₄⋊C₄	—	79	8	no	—
696	C₂×C₄⋊C₄	—	79	8	no	—
697	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
698	C₂×C₂²⋊C₄	—	79	2	no	—
699	C₂×C₂²⋊C₄	—	79	2	no	—
700	C₂×C₂²⋊C₄	—	79	8	no	—
701	C₂×C₂²⋊C₄	—	79	16	no	—
702	C₂×C₂²⋊C₄	—	79	16	no	—
703	C₂×C₂²⋊C₄	—	79	2	no	—
704	C₂×C₂²⋊C₄	—	79	8	no	—
705	C₂×C₂²⋊C₄	—	79	8	no	—
706	C₂×C₂²⋊C₄	—	79	8	no	—
707	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
709	C₂×C₄²	—	79	2	no	—
710	C₂×C₄²	—	79	2	no	—
711	C₂×C₄²	—	79	2	no	—
712	C₂×C₄²	—	79	8	no	—
713	C₂×C₄²	—	79	8	no	—
714	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
715	C₂⁴	—	2	8	no	—
716	C₂⁴	—	8	4	no	—
717	C₂⁴	—	79	2	no	—
718	C₂⁴	C₂³×D₇₉	1	4	yes	—
719	C₂⁴	C₂³×D₇₉	1	4	yes	—
720	C₂⁴	C₂³×D₇₉	1	2	yes	—
721	C₂⁴	C₂³×D₇₉	1	4	yes	—
722	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
723	#41	—	2	8	no	—
724	#41	—	2	8	no	—
725	#41	—	2	8	no	—
726	#41	—	2	8	no	—
727	#41	—	632	32	no	—
728	#41	—	158	8	no	—
729	#41	—	158	8	no	—
730	#41	—	158	8	no	—
731	#41	—	158	8	no	—
732	C₂×Q₈	—	2	4	no	—
733	C₂×Q₈	—	79	16	no	—
734	C₂×Q₈	—	79	2	no	—
735	C₂×Q₈	—	79	2	no	—
736	C₂×Q₈	—	158	4	no	—
737	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
738	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
739	C₂×D₄	—	2	8	no	—
740	C₂×D₄	—	2	8	no	—
741	C₂×D₄	—	2	8	no	—
742	C₂×D₄	—	2	8	no	—
743	C₂×D₄	—	2	8	no	—
744	C₂×D₄	—	2	8	no	—
745	C₂×D₄	—	2	8	no	—
746	C₂×D₄	—	2	4	no	—
747	C₂×D₄	—	8	8	no	—
748	C₂×D₄	—	79	16	no	—
749	C₂×D₄	—	79	32	no	—
750	C₂×D₄	—	79	4	no	—
751	C₂×D₄	—	79	4	no	—
752	C₂×D₄	—	79	2	no	—
753	C₂×D₄	—	79	2	no	—
754	C₂×D₄	—	632	8	no	—
755	C₂×D₄	—	158	8	no	—
756	C₂×D₄	—	158	4	no	—
757	C₂×D₄	C₂³×D₇₉	1	4	yes	—
758	C₂×D₄	C₂³×D₇₉	1	4	yes	—
759	C₂×D₄	C₂³×D₇₉	1	4	yes	—
760	C₂×D₄	C₂³×D₇₉	1	4	yes	—
761	C₂×D₄	C₂³×D₇₉	1	2	yes	—
762	C₂×D₄	C₂³×D₇₉	1	4	yes	—
763	C₂×D₄	C₂³×D₇₉	1	4	yes	—
764	C₂×D₄	C₂³×D₇₉	1	2	yes	—
765	C₂×D₄	C₂³×D₇₉	1	32	yes	—
766	C₂²×C₄	—	2	8	no	—
767	C₂²×C₄	—	79	4	no	—
768	C₂²×C₄	—	79	4	no	—
769	C₂²×C₄	—	79	4	no	—
770	C₂²×C₄	—	79	16	no	—
771	C₂²×C₄	—	79	32	no	—
772	C₂²×C₄	—	79	16	no	—
773	C₂²×C₄	—	79	2	no	—
774	C₂²×C₄	—	79	4	no	—
775	C₂²×C₄	—	79	4	no	—
776	C₂²×C₄	—	632	8	no	—
777	C₂²×C₄	—	158	8	no	—
778	C₂²×C₄	#11929623	1	8	yes	complemented
779	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
780	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
781	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
782	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
783	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
784	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
785	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
786	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
787	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
788	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
789	C₄⋊C₄	—	79	16	no	—
790	C₄⋊C₄	—	79	16	no	—
791	C₄⋊C₄	—	79	16	no	—
792	C₄⋊C₄	—	79	16	no	—
793	C₄⋊C₄	—	79	4	no	—
794	C₄⋊C₄	—	79	4	no	—
795	C₄⋊C₄	—	79	4	no	—
796	C₄⋊C₄	—	79	4	no	—
797	C₄⋊C₄	—	79	4	no	—
798	C₄⋊C₄	—	79	4	no	—
799	C₄⋊C₄	—	79	16	no	—
800	C₄⋊C₄	—	79	16	no	—
801	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
802	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
803	C₂²⋊C₄	—	79	4	no	—
804	C₂²⋊C₄	—	79	4	no	—
805	C₂²⋊C₄	—	79	4	no	—
806	C₂²⋊C₄	—	79	4	no	—
807	C₂²⋊C₄	—	79	4	no	—
808	C₂²⋊C₄	—	79	32	no	—
809	C₂²⋊C₄	—	79	4	no	—
810	C₂²⋊C₄	—	79	16	no	—
811	C₂²⋊C₄	—	79	32	no	—
812	C₂²⋊C₄	—	79	16	no	—
813	C₂²⋊C₄	—	79	16	no	—
814	C₂²⋊C₄	—	79	16	no	—
815	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
816	C₂²⋊C₄	C₂³×D₇₉	1	32	yes	—
817	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
818	C₄²	—	79	4	no	—
819	C₄²	—	79	4	no	—
820	C₄²	—	79	4	no	—
821	C₄²	—	79	16	no	—
822	C₄²	—	79	16	no	—
823	C₄²	—	79	4	no	—
824	C₄²	—	79	4	no	—
825	C₄²	—	79	4	no	—
826	C₄²	C₂³×D₇₉	1	4	yes	—
827	C₄²	C₂³×D₇₉	1	4	yes	—
828	C₂³	—	2	8	no	—
829	C₂³	—	2	4	no	—
830	C₂³	—	2	8	no	—
831	C₂³	—	2	8	no	—
832	C₂³	—	4	8	no	—
833	C₂³	—	4	2	no	—
834	C₂³	—	4	4	no	—
835	C₂³	—	4	8	no	—
836	C₂³	—	4	8	no	—
837	C₂³	—	8	16	no	—
838	C₂³	—	316	4	no	—
839	C₂³	—	79	4	no	—
840	C₂³	—	158	4	no	—
841	C₂³	C₂×#11929623	1	4	yes	—
842	C₂³	C₂⁴×D₇₉	1	8	yes	—
843	C₂³	C₂⁴×D₇₉	1	4	yes	—
844	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
845	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
846	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
847	Q₈	—	2	4	no	—
848	Q₈	—	2	4	no	—
849	Q₈	—	316	16	no	—
850	Q₈	—	158	4	no	—
851	Q₈	—	158	4	no	—
852	D₄	—	2	8	no	—
853	D₄	—	2	8	no	—
854	D₄	—	2	8	no	—
855	D₄	—	2	8	no	—
856	D₄	—	2	8	no	—
857	D₄	—	2	8	no	—
858	D₄	—	2	4	no	—
859	D₄	—	2	4	no	—
860	D₄	—	4	32	no	—
861	D₄	—	316	32	no	—
862	D₄	—	316	16	no	—
863	D₄	—	158	8	no	—
864	D₄	—	158	8	no	—
865	D₄	—	158	4	no	—
866	D₄	—	158	4	no	—
867	C₂×C₄	—	2	4	no	—
868	C₂×C₄	—	2	8	no	—
869	C₂×C₄	—	2	8	no	—
870	C₂×C₄	—	4	4	no	—
871	C₂×C₄	—	316	16	no	—
872	C₂×C₄	—	316	4	no	—
873	C₂×C₄	—	316	4	no	—
874	C₂×C₄	—	316	32	no	—
875	C₂×C₄	—	316	4	no	—
876	C₂×C₄	—	316	16	no	—
877	C₂×C₄	—	79	8	no	—
878	C₂×C₄	—	79	4	no	—
879	C₂×C₄	—	79	8	no	—
880	C₂×C₄	—	79	8	no	—
881	C₂×C₄	—	158	4	no	—
882	C₂×C₄	—	158	8	no	—
883	C₂×C₄	—	158	8	no	—
884	C₂×C₄	C₂×#11929623	1	4	yes	—
885	C₂×C₄	C₂×#11929623	1	4	yes	—
886	C₂×C₄	C₂×#11929623	1	4	yes	—
887	C₂×C₄	C₂×#11929623	1	4	yes	—
888	C₂×C₄	C₂×#11929623	1	4	yes	—
889	C₂×C₄	C₂×#11929623	1	4	yes	—
890	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
891	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
892	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
893	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
894	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
895	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
896	C₂²	—	2	2	no	—
897	C₂²	—	2	2	no	—
898	C₂²	—	2	2	no	—
899	C₂²	—	2	4	no	—
900	C₂²	—	2	8	no	—
901	C₂²	—	2	8	no	—
902	C₂²	—	2	16	no	—
903	C₂²	—	4	4	no	—
904	C₂²	—	4	16	no	—
905	C₂²	—	8	8	no	—
906	C₂²	—	8	8	no	—
907	C₂²	—	8	4	no	—
908	C₂²	—	632	4	no	—
909	C₂²	—	158	4	no	—
910	C₂²	—	158	8	no	—
911	C₂²	C₂²×#11929623	1	2	yes	—
912	C₂²	C₂²×#11929623	1	2	yes	—
913	C₂²	C₂²×#11929623	1	2	yes	—
914	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
915	C₄	—	2	4	no	—
916	C₄	—	2	8	no	—
917	C₄	—	158	4	no	—
918	C₄	—	158	8	no	—
919	C₄	—	158	8	no	—
920	C₄	—	158	8	no	—
921	C₄	C₂²×#11929623	1	2	yes	—
922	C₄	C₂²×#11929623	1	2	yes	—
923	C₄	C₂²×#11929623	1	2	yes	—
924	C₄	C₂²×#11929623	1	2	yes	—
925	C₂	—	2	2	no	—
926	C₂	—	2	2	no	—
927	C₂	—	2	2	no	—
928	C₂	—	4	8	no	—
929	C₂	—	4	4	no	—
930	C₂	—	316	4	no	—
931	C₂	C₂³×#11929623	1	1	yes	characteristic
932	C₂	#23778210	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₂×#535×C₇₉	C₂
hypercenter	C₂×#535	D₇₉
hypocenter	C₇₉	#62855
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×#535

Complements

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

N	H ≅ G/N	type
1. #23777295	C₂	semidirect
2. #23777294	C₂	semidirect
3. #23777275	C₂	semidirect
4. #23777274	C₂	semidirect
5. #23777251	C₂	semidirect
6. #23777132	C₂	semidirect
7. #23777129	C₂	semidirect
8. #23777087	C₂	semidirect
9. #23776813	C₂	semidirect
10. #23776805	C₂	semidirect
11. #23776729	C₂	semidirect
12. C₂×#19099130	C₂	semidirect
13. #23776603	C₂	semidirect
14. #23776601	C₂	semidirect
15. C₂×#19099038	C₂	semidirect
16. C₂×#535×C₇₉	C₂	semidirect
18. #19099299	C₂²	semidirect
19. #19099295	C₂²	semidirect
20. #19099282	C₂²	semidirect
21. #19099277	C₂²	semidirect
22. #19099265	C₂²	semidirect
23. #19099260	C₂²	semidirect
24. #19099244	C₂²	semidirect
25. #19099239	C₂²	semidirect
26. #19099233	C₂²	semidirect
27. #19099213	C₂²	semidirect
28. #19099207	C₂²	semidirect
29. #19099200	C₂²	semidirect
30. #19099194	C₂²	semidirect
31. #19099191	C₂²	semidirect
32. #19099191	C₂²	semidirect
34. #19099182	C₂²	semidirect
35. #19099180	C₂²	semidirect
36. #19099167	C₂²	semidirect
37. #19099166	C₂²	semidirect
38. #19099148	C₂²	semidirect
39. #19099141	C₂²	semidirect
40. #19099137	C₂²	semidirect
41. #19099134	C₂²	semidirect
44. #19099130	C₂²	semidirect
45. #19099130	C₂²	semidirect
46. #19099130	C₂²	semidirect
47. #19099127	C₂²	semidirect
49. #19099120	C₂²	semidirect
50. #19099116	C₂²	semidirect
51. #19099116	C₂²	semidirect
52. #19099111	C₂²	semidirect
53. #19099109	C₂²	semidirect
54. #19099108	C₂²	semidirect
55. C₂×#14579157	C₂²	semidirect
56. #19099094	C₂²	semidirect
57. #19099092	C₂²	semidirect
58. C₂×#14579148	C₂²	semidirect
59. #19099074	C₂²	semidirect
60. #19099070	C₂²	semidirect
61. #19099069	C₂²	semidirect
62. C₂×#14579132	C₂²	semidirect
64. #19099046	C₂²	semidirect
65. #19099046	C₂²	semidirect
66. #19099044	C₂²	semidirect
67. #19099043	C₂²	semidirect
68. #19099041	C₂²	semidirect
69. #19099040	C₂²	semidirect
71. #19099038	C₂²	semidirect
72. #19099038	C₂²	semidirect
73. #19099038	C₂²	semidirect
74. #19099038	C₂²	semidirect
75. #19099038	C₂²	semidirect
76. #19099037	C₂²	semidirect
78. #41×Dic₇₉	C₂²	semidirect
79. #41×Dic₇₉	C₂²	semidirect
80. C₄×#11929624	C₂²	semidirect
81. #19099031	C₂²	semidirect
82. C₂×D₄×Dic₇₉	C₂²	semidirect
83. C₂×D₄×Dic₇₉	C₂²	semidirect
87. C₂×#14579120	C₂²	semidirect
88. #117×D₇₉	C₂²	semidirect
94. #535×C₇₉	C₂²	semidirect
95. #535×C₇₉	C₂²	semidirect
96. C₂×#127×C₇₉	C₂²	semidirect
97. C₂×#124×C₇₉	C₂²	semidirect
98. C₂×#121×C₇₉	C₂²	semidirect
106. C₂×#11929623	C₂³	semidirect
113. #14579161	C₂³	semidirect
114. #14579160	C₂³	semidirect
115. #14579160	C₂³	semidirect
116. #14579159	C₂³	semidirect
119. #14579157	C₂³	semidirect
120. #14579154	C₂³	semidirect
121. #14579154	C₂³	semidirect
122. #14579153	C₂³	semidirect
123. #14579152	C₂³	semidirect
124. #14579152	C₂³	semidirect
125. #14579150	C₂³	semidirect
128. #14579148	C₂³	semidirect
129. #14579148	C₂³	semidirect
130. #14579147	C₂³	semidirect
131. #14579145	C₂³	semidirect
133. #14579143	C₂³	semidirect
135. #14579142	C₂³	semidirect
136. #14579142	C₂³	semidirect
138. #14579140	C₂³	semidirect
141. #14579138	C₂³	semidirect
142. #14579137	C₂³	semidirect
143. #14579135	C₂³	semidirect
145. #14579133	C₂³	semidirect
146. #14579133	C₂³	semidirect
149. #14579132	C₂³	semidirect
150. #14579132	C₂³	semidirect
155. Q₈×Dic₇₉	C₂³	semidirect
156. Q₈×Dic₇₉	C₂³	semidirect
157. C₄×Dic₁₅₈	C₂³	semidirect
158. C₄×Dic₁₅₈	C₂³	semidirect
159. #14579126	C₂³	semidirect
160. C₄×D₃₁₆	C₂³	semidirect
167. D₄×Dic₇₉	C₂³	semidirect
168. D₄×Dic₇₉	C₂³	semidirect
169. D₄×Dic₇₉	C₂³	semidirect
170. #14579123	C₂³	semidirect
172. C₄×C₂²⋊D₇₉	C₂³	semidirect
174. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
188. #14579120	C₂³	semidirect
189. #14579120	C₂³	semidirect
190. #14579119	C₂³	semidirect
191. #14579118	C₂³	semidirect
193. #14579117	C₂³	semidirect
197. C₂×C₄⋊Dic₇₉	C₂³	semidirect
198. C₄⋊C₄×D₇₉	C₂³	semidirect
211. C₂×C₄×Dic₇₉	C₂³	semidirect
212. C₄²×D₇₉	C₂³	semidirect
343. C₂²×C₄×C₇₉	#41	semidirect
479. C₂×#535	D₇₉	semidirect
483. C₇₉	#62855	semidirect
519. #535	C₂×D₇₉	semidirect
520. #535	C₂×D₇₉	semidirect
529. C₂×#127	C₂×D₇₉	semidirect
533. C₂×#124	C₂×D₇₉	semidirect
538. C₂×#121	C₂×D₇₉	semidirect
778. C₂²×C₄	#11929623	semidirect

Maximal subgroups

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

subgroup	index
#23777295	2
#23777294	2
#23777275	2
#23777274	2
#23777251	2
#23777132	2
#23777129	2
#23777087	2
#23776813	2
#23776805	2
#23776729	2
C₂×#19099130	2
#23776603	2
#23776601	2
C₂×#19099038	2
C₂×#535×C₇₉	2
#62855	79