Subgroups — #35196902

Order 20224.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777720	C₂	1	8	yes	maximal, complemented
2	#23777635	C₂	1	4	yes	maximal, complemented
3	#23777622	C₂	1	4	yes	maximal, complemented
4	#23777590	C₂	1	8	yes	maximal, complemented
5	#23777426	C₂	1	8	yes	maximal, complemented
6	#23777234	C₂	1	4	yes	maximal, complemented
7	#23777157	C₂	1	4	yes	maximal, complemented
8	#23777129	C₂	1	4	yes	maximal, complemented
9	#23777109	C₂	1	2	yes	maximal, complemented
10	#23777089	C₂	1	4	yes	maximal, complemented
11	#23777065	C₂	1	4	yes	maximal, complemented
12	#23777035	C₂	1	2	yes	maximal, complemented
13	#23777035	C₂	1	4	yes	maximal, complemented
14	C₂×#19099074	C₂	1	2	yes	maximal, complemented
15	C₂²×#121×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14579206	C₂²	1	2	yes	complemented
17	C₂×#14579206	C₂²	1	4	yes	complemented
18	C₂²×#11929624	C₂²	1	2	yes	complemented
19	#19099308	C₂²	1	16	yes	complemented
20	#19099301	C₂²	1	16	yes	complemented
21	#19099277	C₂²	1	8	yes	complemented
22	#19099268	C₂²	1	8	yes	complemented
23	#19099265	C₂²	1	8	yes	complemented
24	#19099261	C₂²	1	8	yes	complemented
25	#19099260	C₂²	1	8	yes	complemented
26	#19099256	C₂²	1	16	yes	complemented
27	#19099248	C₂²	1	8	yes	complemented
28	#19099239	C₂²	1	16	yes	complemented
29	#19099239	C₂²	1	16	yes	complemented
30	#19099231	C₂²	1	8	yes	complemented
31	#19099219	C₂²	1	8	yes	complemented
32	#19099214	C₂²	1	8	yes	complemented
33	#19099213	C₂²	1	8	yes	complemented
34	#19099210	C₂²	1	8	yes	complemented
35	#19099207	C₂²	1	16	yes	complemented
36	#19099207	C₂²	1	16	yes	complemented
37	#19099207	C₂²	1	8	yes	complemented
38	#19099207	C₂²	1	8	yes	complemented
39	#19099203	C₂²	1	16	yes	complemented
40	#19099203	C₂²	1	16	yes	complemented
41	#19099202	C₂²	1	16	yes	complemented
42	#19099197	C₂²	1	8	yes	complemented
43	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
44	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
45	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
46	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
47	#19099194	C₂²	1	2	yes	complemented
48	#19099189	C₂²	1	4	yes	complemented
49	#19099180	C₂²	1	8	yes	complemented
50	#19099166	C₂²	1	8	yes	complemented
51	#19099163	C₂²	1	16	yes	complemented
52	#19099160	C₂²	1	8	yes	complemented
53	#19099158	C₂²	1	8	yes	complemented
54	#19099151	C₂²	1	8	yes	complemented
55	#19099151	C₂²	1	8	yes	complemented
56	#19099150	C₂²	1	8	yes	complemented
57	#19099145	C₂²	1	16	yes	complemented
58	#19099144	C₂²	1	2	yes	complemented
59	#19099142	C₂²	1	8	yes	complemented
60	#19099140	C₂²	1	8	yes	complemented
61	#19099130	C₂²	1	4	yes	complemented
62	#19099130	C₂²	1	8	yes	complemented
63	#19099129	C₂²	1	8	yes	complemented
64	#19099125	C₂²	1	4	yes	complemented
65	#19099122	C₂²	1	8	yes	complemented
66	#19099122	C₂²	1	8	yes	complemented
67	#19099122	C₂²	1	8	yes	complemented
68	#19099121	C₂²	1	8	yes	complemented
69	#19099108	C₂²	1	8	yes	complemented
70	#19099094	C₂²	1	8	yes	complemented
71	#19099074	C₂²	1	8	yes	complemented
72	#19099074	C₂²	1	4	yes	complemented
73	#19099074	C₂²	1	4	yes	complemented
74	#19099074	C₂²	1	4	yes	complemented
75	#19099074	C₂²	1	4	yes	complemented
76	#19099074	C₂²	1	4	yes	complemented
77	#19099074	C₂²	1	4	yes	complemented
78	#19099074	C₂²	1	4	yes	complemented
79	#19099074	C₂²	1	4	yes	complemented
80	#19099073	C₂²	1	8	yes	complemented
81	C₂×#14579144	C₂²	1	4	yes	complemented
82	C₂×#14579140	C₂²	1	2	yes	complemented
83	C₂×#14579140	C₂²	1	2	yes	complemented
84	C₂×#14579135	C₂²	1	2	yes	complemented
85	C₂×#14579135	C₂²	1	2	yes	complemented
86	#121×D₇₉	C₂²	1	8	yes	complemented
87	C₂×#14579130	C₂²	1	8	yes	complemented
88	C₂×#14579130	C₂²	1	4	yes	complemented
89	#19099044	C₂²	1	4	yes	complemented
90	#19099038	C₂²	1	2	yes	complemented
91	#19099038	C₂²	1	4	yes	complemented
92	#19099036	C₂²	1	8	yes	complemented
93	C₂×C₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
94	C₂×C₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
95	C₂×#14579120	C₂²	1	2	yes	complemented
96	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
97	C₂³×D₄×C₇₉	C₂²	1	2	yes	complemented
98	C₂⁴×C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
99	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
100	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
101	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
102	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
103	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
104	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
105	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
106	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	2	yes	complemented
107	#14579206	—	4	16	no	—
108	#14579206	—	4	8	no	—
109	C₂×#11929624	—	4	8	no	—
110	C₂×#11929624	C₂³	1	4	yes	—
111	C₂×#11929624	C₂³	1	8	yes	—
112	C₂×#11929624	C₂³	1	4	yes	—
113	C₂×#11929624	C₂³	1	4	yes	complemented
114	C₂×#11929624	C₂³	1	4	yes	complemented
115	C₂×#11929623	C₂³	1	16	yes	complemented
116	C₂×#11929623	C₂³	1	8	yes	complemented
117	C₂²×Dic₁₅₈	C₂³	1	2	yes	complemented
118	C₂²×D₃₁₆	C₂³	1	2	yes	complemented
119	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
120	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
121	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
122	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
123	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
124	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
125	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
126	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
127	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
128	#14579160	C₂³	1	8	yes	complemented
129	#14579157	C₂³	1	16	yes	complemented
130	#14579157	C₂³	1	8	yes	complemented
131	#14579156	C₂³	1	16	yes	complemented
132	#14579154	C₂³	1	16	yes	complemented
133	#14579154	C₂³	1	16	yes	complemented
134	#14579152	C₂³	1	8	yes	complemented
135	#14579151	C₂³	1	16	yes	complemented
136	#14579148	C₂³	1	16	yes	complemented
137	#14579148	C₂³	1	8	yes	complemented
138	#14579147	C₂³	1	16	yes	complemented
139	#14579147	C₂³	1	16	yes	complemented
140	#14579146	C₂³	1	16	yes	complemented
141	#14579145	C₂³	1	16	yes	complemented
142	#14579144	C₂³	1	8	yes	—
143	#14579144	C₂³	1	8	yes	—
144	#14579144	C₂³	1	16	yes	—
145	#14579144	C₂³	1	8	yes	complemented
146	#14579144	C₂³	1	8	yes	complemented
147	#14579143	C₂³	1	16	yes	complemented
148	#14579143	C₂³	1	16	yes	complemented
149	#14579142	C₂³	1	16	yes	complemented
150	#14579142	C₂³	1	16	yes	complemented
151	#14579142	C₂³	1	16	yes	complemented
152	#14579141	C₂³	1	8	yes	complemented
153	#14579140	C₂³	1	4	yes	—
154	#14579140	C₂³	1	8	yes	—
155	#14579140	C₂³	1	8	yes	—
156	#14579140	C₂³	1	4	yes	—
157	#14579140	C₂³	1	4	yes	—
158	#14579140	C₂³	1	4	yes	—
159	#14579140	C₂³	1	4	yes	complemented
160	#14579140	C₂³	1	4	yes	complemented
161	#14579140	C₂³	1	4	yes	complemented
162	#14579140	C₂³	1	4	yes	complemented
163	#14579139	C₂³	1	16	yes	complemented
164	#14579138	C₂³	1	16	yes	complemented
165	#14579138	C₂³	1	16	yes	complemented
166	#14579136	C₂³	1	8	yes	complemented
167	#14579135	C₂³	1	8	yes	—
168	#14579135	C₂³	1	4	yes	—
169	#14579135	C₂³	1	8	yes	—
170	#14579135	C₂³	1	4	yes	—
171	#14579135	C₂³	1	4	yes	—
172	#14579135	C₂³	1	4	yes	—
173	#14579135	C₂³	1	4	yes	complemented
174	#14579135	C₂³	1	4	yes	complemented
175	#14579135	C₂³	1	4	yes	complemented
176	#14579135	C₂³	1	4	yes	complemented
177	#14579134	C₂³	1	16	yes	complemented
178	#14579134	C₂³	1	16	yes	complemented
179	#14579133	C₂³	1	16	yes	complemented
180	#14579133	C₂³	1	16	yes	complemented
181	#14579133	C₂³	1	16	yes	complemented
182	#14579133	C₂³	1	16	yes	complemented
183	#14579133	C₂³	1	16	yes	complemented
184	#14579133	C₂³	1	16	yes	complemented
185	#14579132	C₂³	1	16	yes	complemented
186	#14579132	C₂³	1	8	yes	complemented
187	#14579132	C₂³	1	16	yes	complemented
188	#14579132	C₂³	1	8	yes	complemented
189	#14579131	C₂³	1	16	yes	complemented
190	#14579130	C₂³	1	16	yes	—
191	#14579130	C₂³	1	8	yes	—
192	#14579130	C₂³	1	8	yes	—
193	#14579130	C₂³	1	16	yes	—
194	#14579130	C₂³	1	16	yes	—
195	#14579130	C₂³	1	8	yes	—
196	#14579130	C₂³	1	8	yes	—
197	#14579129	C₂³	1	16	yes	complemented
198	#14579129	C₂³	1	16	yes	complemented
199	#14579129	C₂³	1	16	yes	complemented
200	#14579126	C₂³	1	8	yes	complemented
201	D₄×Dic₇₉	C₂³	1	16	yes	complemented
202	D₄×Dic₇₉	C₂³	1	16	yes	complemented
203	D₄×Dic₇₉	C₂³	1	8	yes	complemented
204	D₄×Dic₇₉	C₂³	1	8	yes	complemented
205	#14579123	C₂³	1	8	yes	complemented
206	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
207	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
208	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	—
209	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
210	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
211	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
212	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
213	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
214	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
215	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
216	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
217	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
218	#14579120	C₂³	1	4	yes	—
219	#14579120	C₂³	1	4	yes	—
220	#14579120	C₂³	1	8	yes	—
221	#14579120	C₂³	1	4	yes	complemented
222	#14579120	C₂³	1	4	yes	complemented
223	#14579119	C₂³	1	8	yes	complemented
224	#14579117	C₂³	1	16	yes	complemented
225	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	complemented
226	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	complemented
227	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
228	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
229	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
230	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
231	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
232	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
233	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
234	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	—
235	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
236	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
237	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
238	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
239	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
240	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
241	C₂⁵×C₇₉	C₂³	1	2	yes	—
242	C₂²×D₄×C₇₉	—	4	4	no	—
243	C₂²×D₄×C₇₉	—	4	8	no	—
244	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
245	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
246	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
247	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
248	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
249	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
250	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
251	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
252	C₂³×C₄×C₇₉	—	4	4	no	—
253	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
254	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
255	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
256	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
257	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
258	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
259	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
260	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
261	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
262	#121×C₇₉	C₂³	1	8	yes	—
263	#121×C₇₉	C₂³	1	8	yes	—
264	#121×C₇₉	C₂³	1	8	yes	—
265	#121×C₇₉	C₂³	1	8	yes	—
266	#121×C₇₉	C₂³	1	8	yes	—
267	#121×C₇₉	C₂³	1	8	yes	—
268	#121×C₇₉	C₂³	1	8	yes	—
269	#121×C₇₉	C₂³	1	8	yes	—
270	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
272	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	—
273	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	—
274	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
275	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
276	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
277	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	—
278	C₂³×D₇₉	C₂⁴	1	4	yes	—
279	C₂³×D₇₉	C₂⁴	1	8	yes	—
280	#11929624	—	2	16	no	—
281	#11929624	—	4	8	no	—
282	#11929624	—	4	16	no	—
283	#11929624	—	4	8	no	—
284	#11929624	—	4	8	no	—
285	#11929623	—	4	32	no	—
286	#11929623	—	4	16	no	—
287	C₂×Dic₁₅₈	—	4	4	no	—
288	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
289	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
290	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
291	C₂×D₃₁₆	—	4	4	no	—
292	C₂×D₃₁₆	C₂⁴	1	4	yes	—
293	C₂×D₃₁₆	C₂⁴	1	4	yes	—
294	C₂×D₃₁₆	C₂⁴	1	8	yes	—
295	C₂×C₂²⋊D₇₉	—	2	16	no	—
296	C₂×C₂²⋊D₇₉	—	4	8	no	—
297	C₂×C₂²⋊D₇₉	—	4	16	no	—
298	C₂×C₂²⋊D₇₉	—	4	16	no	—
299	C₂×C₂²⋊D₇₉	—	4	8	no	—
300	C₂×C₂²⋊D₇₉	—	4	16	no	—
301	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
302	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
303	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
304	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
305	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
306	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
307	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
308	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
309	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
310	D₄×D₇₉	—	4	32	no	—
311	D₄×D₇₉	—	4	16	no	—
312	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
313	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
314	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
315	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
316	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
317	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
318	C₂×C₄×D₇₉	—	4	8	no	—
319	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
320	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
321	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
322	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
323	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
324	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
325	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
326	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
327	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
328	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
329	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
330	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
331	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
332	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
333	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
334	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
335	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
336	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
337	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
338	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
339	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
340	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
341	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
342	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
343	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
344	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
345	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
346	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
347	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
348	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
349	C₄×Dic₇₉	C₂⁴	1	8	yes	—
350	C₄×Dic₇₉	C₂⁴	1	8	yes	—
351	C₄×Dic₇₉	C₂⁴	1	16	yes	—
352	C₂⁴×C₇₉	—	2	4	no	—
353	C₂⁴×C₇₉	—	4	2	no	—
354	C₂⁴×C₇₉	—	4	2	no	—
355	C₂⁴×C₇₉	—	4	4	no	—
356	C₂⁴×C₇₉	—	4	4	no	—
357	C₂⁴×C₇₉	—	4	4	no	—
358	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
360	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
361	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
362	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
363	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
364	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
366	C₂×D₄×C₇₉	—	2	16	no	—
367	C₂×D₄×C₇₉	—	2	8	no	—
368	C₂×D₄×C₇₉	—	4	8	no	—
369	C₂×D₄×C₇₉	—	4	8	no	—
370	C₂×D₄×C₇₉	—	4	8	no	—
371	C₂×D₄×C₇₉	—	4	4	no	—
372	C₂×D₄×C₇₉	—	4	16	no	—
373	C₂×D₄×C₇₉	—	4	16	no	—
374	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
375	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
376	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
377	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
378	C₂²×C₄×C₇₉	—	2	8	no	—
379	C₂²×C₄×C₇₉	—	2	4	no	—
380	C₂²×C₄×C₇₉	—	4	4	no	—
381	C₂²×C₄×C₇₉	—	4	4	no	—
382	C₂²×C₄×C₇₉	—	4	4	no	—
383	C₂²×C₄×C₇₉	—	4	4	no	—
384	C₂²×C₄×C₇₉	—	4	2	no	—
385	C₂²×C₄×C₇₉	—	4	4	no	—
386	C₂²×C₄×C₇₉	—	4	4	no	—
387	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
390	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
393	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
400	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
407	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
408	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
409	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
410	C₂³×C₇₉	—	2	2	no	—
411	C₂³×C₇₉	—	2	2	no	—
412	C₂³×C₇₉	—	2	2	no	—
413	C₂³×C₇₉	—	2	4	no	—
414	C₂³×C₇₉	—	2	4	no	—
415	C₂³×C₇₉	—	2	4	no	—
416	C₂³×C₇₉	—	2	2	no	—
417	C₂³×C₇₉	—	2	4	no	—
418	C₂³×C₇₉	—	2	8	no	—
419	C₂³×C₇₉	—	2	8	no	—
420	C₂³×C₇₉	—	2	8	no	—
421	C₂³×C₇₉	—	4	1	no	—
422	C₂³×C₇₉	—	4	2	no	—
423	C₂³×C₇₉	—	4	1	no	—
424	C₂³×C₇₉	—	4	1	no	—
425	C₂³×C₇₉	—	4	2	no	—
426	C₂³×C₇₉	—	4	1	no	—
427	C₂³×C₇₉	—	4	4	no	—
428	C₂³×C₇₉	—	4	4	no	—
429	C₂³×C₇₉	—	4	4	no	—
430	C₂³×C₇₉	—	4	4	no	—
431	C₂³×C₇₉	—	4	4	no	—
432	C₂³×C₇₉	—	4	4	no	—
433	C₂³×C₇₉	—	4	16	no	—
434	C₂³×C₇₉	—	8	16	no	—
435	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
436	C₂³×C₇₉	C₂⁵	1	2	yes	—
437	C₂³×C₇₉	C₂⁵	1	8	yes	—
438	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
439	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
440	C₂³×C₇₉	C₂⁵	1	2	yes	—
441	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
442	C₂²×D₇₉	—	2	8	no	—
443	C₂²×D₇₉	—	4	4	no	—
444	C₂²×D₇₉	—	4	4	no	—
445	C₂²×D₇₉	—	4	8	no	—
446	C₂²×D₇₉	—	4	8	no	—
447	C₂²×D₇₉	—	4	8	no	—
448	C₂²×D₇₉	C₂⁵	1	8	yes	—
449	D₄×C₇₉	—	2	32	no	—
450	D₄×C₇₉	—	2	16	no	—
451	D₄×C₇₉	—	4	8	no	—
452	D₄×C₇₉	—	4	16	no	—
453	C₂×C₄×C₇₉	—	2	4	no	—
454	C₂×C₄×C₇₉	—	2	8	no	—
455	C₂×C₄×C₇₉	—	2	2	no	—
456	C₂×C₄×C₇₉	—	2	4	no	—
457	C₂×C₄×C₇₉	—	2	4	no	—
458	C₂×C₄×C₇₉	—	2	4	no	—
459	C₂×C₄×C₇₉	—	2	4	no	—
460	C₂×C₄×C₇₉	—	2	4	no	—
461	C₂×C₄×C₇₉	—	2	4	no	—
462	C₂×C₄×C₇₉	—	4	2	no	—
463	C₂×C₄×C₇₉	—	4	2	no	—
464	C₂×C₄×C₇₉	—	4	2	no	—
465	C₂×C₄×C₇₉	—	4	2	no	—
466	C₂×C₄×C₇₉	—	4	1	no	—
467	C₂×C₄×C₇₉	—	4	2	no	—
468	C₂×C₄×C₇₉	—	4	1	no	—
469	C₂×C₄×C₇₉	—	4	4	no	—
470	C₂×C₄×C₇₉	—	4	4	no	—
471	C₂×C₄×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
472	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
473	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
474	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
475	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
476	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
477	C₂²⋊D₇₉	—	2	16	no	—
478	C₂²⋊D₇₉	—	2	16	no	—
479	C₂²⋊D₇₉	—	2	16	no	—
480	C₂²⋊D₇₉	—	2	16	no	—
481	C₂²⋊D₇₉	—	4	16	no	—
482	C₂²⋊D₇₉	—	4	16	no	—
483	C₂²⋊D₇₉	—	4	8	no	—
484	C₂²⋊D₇₉	—	4	16	no	—
485	C₂²⋊D₇₉	—	4	8	no	—
486	C₂×Dic₇₉	—	2	8	no	—
487	C₂×Dic₇₉	—	4	4	no	—
488	C₂×Dic₇₉	—	4	4	no	—
489	C₂×Dic₇₉	—	4	8	no	—
490	C₂×Dic₇₉	—	4	8	no	—
491	C₂×Dic₇₉	—	4	8	no	—
492	C₂×Dic₇₉	C₂⁵	1	8	yes	—
493	C₂×Dic₇₉	C₂⁵	1	8	yes	—
494	C₂×Dic₇₉	C₂⁵	1	8	yes	—
495	D₃₁₆	—	2	8	no	—
496	D₃₁₆	—	4	8	no	—
497	D₃₁₆	—	4	4	no	—
498	C₄×D₇₉	—	2	16	no	—
499	C₄×D₇₉	—	4	8	no	—
500	C₄×D₇₉	—	4	16	no	—
501	Dic₁₅₈	—	2	8	no	—
502	Dic₁₅₈	—	4	4	no	—
503	Dic₁₅₈	—	4	8	no	—
504	C₂²×C₇₉	—	2	8	no	—
505	C₂²×C₇₉	—	2	2	no	—
506	C₂²×C₇₉	—	2	1	no	—
507	C₂²×C₇₉	—	2	1	no	—
508	C₂²×C₇₉	—	2	1	no	—
509	C₂²×C₇₉	—	2	1	no	—
510	C₂²×C₇₉	—	2	2	no	—
511	C₂²×C₇₉	—	2	1	no	—
512	C₂²×C₇₉	—	2	1	no	—
513	C₂²×C₇₉	—	2	2	no	—
514	C₂²×C₇₉	—	2	8	no	—
515	C₂²×C₇₉	—	2	8	no	—
516	C₂²×C₇₉	—	2	2	no	—
517	C₂²×C₇₉	—	2	2	no	—
518	C₂²×C₇₉	—	2	8	no	—
519	C₂²×C₇₉	—	4	4	no	—
520	C₂²×C₇₉	—	4	8	no	—
521	C₂²×C₇₉	—	4	8	no	—
522	C₂²×C₇₉	—	4	4	no	—
523	C₂²×C₇₉	—	8	8	no	—
524	C₂²×C₇₉	—	8	8	no	—
525	C₂²×C₇₉	—	8	8	no	—
526	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
527	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
528	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
529	C₂²×C₇₉	#585	1	2	yes	—
530	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
531	C₂×D₇₉	—	2	8	no	—
532	C₂×D₇₉	—	2	8	no	—
533	C₂×D₇₉	—	2	8	no	—
534	C₂×D₇₉	—	8	8	no	—
535	C₂×D₇₉	—	16	8	no	—
536	C₄×C₇₉	—	2	2	no	—
537	C₄×C₇₉	—	2	2	no	—
538	C₄×C₇₉	—	2	2	no	—
539	C₄×C₇₉	—	2	8	no	—
540	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
541	Dic₇₉	—	2	8	no	—
542	Dic₇₉	—	2	8	no	—
543	Dic₇₉	—	2	8	no	—
544	#62818	—	79	1	no	maximal, Sylow
545	C₂×C₇₉	—	2	4	no	—
546	C₂×C₇₉	—	2	2	no	—
547	C₂×C₇₉	—	2	2	no	—
548	C₂×C₇₉	—	2	2	no	—
549	C₂×C₇₉	—	4	8	no	—
550	C₂×C₇₉	—	4	2	no	—
551	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
552	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
553	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
554	D₇₉	—	4	8	no	—
555	#3542	—	79	8	no	—
556	#3537	—	79	4	no	—
557	#3536	—	79	4	no	—
558	#3534	—	79	8	no	—
559	#3519	—	79	8	no	—
560	#3505	—	79	4	no	—
561	#3496	—	79	4	no	—
562	#3494	—	79	4	no	—
563	#3492	—	79	2	no	—
564	#3490	—	79	4	no	—
565	#3488	—	79	4	no	—
566	#3484	—	79	2	no	—
567	#3484	—	79	4	no	—
568	C₂×#525	—	79	2	no	—
569	C₂²×#121	D₇₉	1	1	yes	characteristic, complemented
570	C₇₉	#62818	1	1	yes	characteristic, complemented, Sylow
571	C₂×H(5,𝔽₂)	—	79	2	no	—
572	C₂×H(5,𝔽₂)	—	79	4	no	—
573	C₂²×#41	—	79	2	no	—
574	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
575	C₂³×D₄	C₂×D₇₉	1	2	yes	complemented
576	C₂⁴×C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
577	#562	—	79	16	no	—
578	#560	—	79	16	no	—
579	#555	—	79	8	no	—
580	#554	—	79	8	no	—
581	#553	—	79	16	no	—
582	#553	—	79	8	no	—
583	#553	—	79	8	no	—
584	#553	—	79	8	no	—
585	#552	—	79	8	no	—
586	#551	—	79	16	no	—
587	#551	—	79	16	no	—
588	#550	—	79	8	no	—
589	#548	—	79	8	no	—
590	#547	—	79	8	no	—
591	#547	—	79	8	no	—
592	#546	—	79	16	no	—
593	#546	—	79	8	no	—
594	#546	—	79	16	no	—
595	#546	—	79	8	no	—
596	#546	—	79	16	no	—
597	#546	—	79	8	no	—
598	#546	—	79	16	no	—
599	#546	—	79	16	no	—
600	D₄²	—	79	16	no	—
601	D₄²	—	79	8	no	—
602	D₄²	—	79	16	no	—
603	D₄²	—	79	8	no	—
604	D₄²	—	79	8	no	—
605	#544	—	79	2	no	—
606	#543	—	79	4	no	—
607	#542	—	79	8	no	—
608	#540	—	79	16	no	—
609	#540	—	79	8	no	—
610	#539	—	79	8	no	—
611	#539	—	79	8	no	—
612	#538	—	79	16	no	—
613	#538	—	79	8	no	—
614	#538	—	79	8	no	—
615	#538	—	79	8	no	—
616	#537	—	79	8	no	—
617	#537	—	79	8	no	—
618	#537	—	79	2	no	—
619	#535	—	79	4	no	—
620	#535	—	79	8	no	—
621	#535	—	79	8	no	—
622	#534	—	79	8	no	—
623	#534	—	79	8	no	—
624	#534	—	79	8	no	—
625	#534	—	79	8	no	—
626	#534	—	79	4	no	—
627	#532	—	79	8	no	—
628	#529	—	79	8	no	—
629	#525	—	79	4	no	—
630	#525	—	79	4	no	—
631	#525	—	79	4	no	—
632	#525	—	79	4	no	—
633	#525	—	79	4	no	—
634	#525	—	79	4	no	—
635	#525	—	79	4	no	—
636	#525	—	79	4	no	—
637	#525	—	79	8	no	—
638	#525	—	79	8	no	—
639	C₂×#123	—	79	4	no	—
640	C₂×C₂²⋊Q₈	—	79	2	no	—
641	C₂×C₂²⋊Q₈	—	79	2	no	—
642	C₂×#121	—	79	2	no	—
643	C₂×#121	—	79	2	no	—
644	C₂×#121	—	79	8	no	—
645	C₂×#121	C₂×D₇₉	1	4	yes	complemented
646	C₂×#121	C₂×D₇₉	1	4	yes	complemented
647	C₂×#121	C₂×D₇₉	1	4	yes	complemented
648	C₂×#121	C₂×D₇₉	1	4	yes	complemented
649	C₂×#121	C₂×D₇₉	1	4	yes	complemented
650	C₂×#121	C₂×D₇₉	1	4	yes	complemented
651	C₂×#120	—	79	4	no	—
652	C₂×#120	—	79	8	no	—
653	#520	—	79	4	no	—
654	#518	—	79	2	no	—
655	#518	—	79	4	no	—
656	#518	—	79	8	no	—
657	C₂×C₄×D₄	—	79	4	no	—
658	C₂×C₄×D₄	—	79	4	no	—
659	C₂×#117	—	79	2	no	—
660	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
661	C₂²×C₂²⋊C₄	C₂×D₇₉	1	2	yes	complemented
662	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
663	C₂⁵	C₂²×D₇₉	1	2	yes	—
664	H(5,𝔽₂)	—	316	8	no	—
665	H(5,𝔽₂)	—	316	16	no	—
666	C₂×#41	—	316	8	no	—
667	C₂×#41	—	79	8	no	—
668	C₂×#41	—	79	16	no	—
669	C₂×#41	—	79	4	no	—
670	C₂×#41	—	79	8	no	—
671	C₂×#41	—	79	4	no	—
672	C₂×#41	—	79	4	no	—
673	C₂×#41	—	79	4	no	—
674	C₂²×Q₈	—	79	2	no	—
675	C₂²×D₄	—	4	4	no	—
676	C₂²×D₄	—	4	8	no	—
677	C₂²×D₄	—	79	4	no	—
678	C₂²×D₄	—	79	8	no	—
679	C₂²×D₄	—	79	4	no	—
680	C₂²×D₄	—	79	8	no	—
681	C₂²×D₄	—	79	8	no	—
682	C₂²×D₄	—	79	16	no	—
683	C₂²×D₄	—	79	8	no	—
684	C₂²×D₄	—	79	4	no	—
685	C₂²×D₄	—	79	2	no	—
686	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
687	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
688	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
689	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
690	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
691	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
692	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
693	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
694	C₂³×C₄	—	4	4	no	—
695	C₂³×C₄	—	79	4	no	—
696	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
697	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
698	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
699	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
700	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
701	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
702	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
703	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
704	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
705	C₄⋊Q₈	—	79	8	no	—
706	#127	—	79	8	no	—
707	#127	—	79	16	no	—
708	#126	—	79	16	no	—
709	#126	—	79	16	no	—
710	#126	—	79	16	no	—
711	#125	—	79	8	no	—
712	#125	—	79	16	no	—
713	#124	—	79	8	no	—
714	#124	—	79	16	no	—
715	#124	—	79	16	no	—
716	#124	—	79	16	no	—
717	#123	—	79	16	no	—
718	#123	—	79	16	no	—
719	#123	—	79	16	no	—
720	#123	—	79	8	no	—
721	#123	—	79	8	no	—
722	#123	—	79	8	no	—
723	#123	—	79	8	no	—
724	#123	—	79	16	no	—
725	#123	—	79	16	no	—
726	#123	—	79	16	no	—
727	#123	—	79	16	no	—
728	#123	—	79	16	no	—
729	C₂²⋊Q₈	—	79	4	no	—
730	C₂²⋊Q₈	—	79	4	no	—
731	C₂²⋊Q₈	—	79	4	no	—
732	C₂²⋊Q₈	—	79	4	no	—
733	C₂²⋊Q₈	—	79	4	no	—
734	C₂²⋊Q₈	—	79	4	no	—
735	C₂²⋊Q₈	—	79	4	no	—
736	C₂²⋊Q₈	—	79	4	no	—
737	C₂²⋊Q₈	—	79	8	no	—
738	C₂²⋊Q₈	—	79	8	no	—
739	C₂²⋊Q₈	—	79	8	no	—
740	C₂²⋊Q₈	—	79	16	no	—
741	C₂²⋊Q₈	—	79	16	no	—
742	C₂²⋊Q₈	—	79	16	no	—
743	#121	—	79	16	no	—
744	#121	—	79	8	no	—
745	#121	—	79	8	no	—
746	#121	—	79	16	no	—
747	#121	—	79	16	no	—
748	#121	—	79	16	no	—
749	#121	—	79	16	no	—
750	#121	—	79	16	no	—
751	#121	—	79	16	no	—
752	#121	—	79	16	no	—
753	#121	—	79	4	no	—
754	#121	—	79	4	no	—
755	#121	—	79	4	no	—
756	#121	—	79	4	no	—
757	#121	—	79	4	no	—
758	#121	—	79	4	no	—
759	#121	—	79	4	no	—
760	#121	—	79	4	no	—
761	#121	—	79	8	no	—
762	#121	—	79	8	no	—
763	#121	—	79	8	no	—
764	#121	—	79	16	no	—
765	#121	—	79	16	no	—
766	#121	C₂²×D₇₉	1	8	yes	—
767	#121	C₂²×D₇₉	1	8	yes	—
768	#121	C₂²×D₇₉	1	8	yes	—
769	#121	C₂²×D₇₉	1	8	yes	—
770	#121	C₂²×D₇₉	1	8	yes	—
771	#121	C₂²×D₇₉	1	8	yes	—
772	#121	C₂²×D₇₉	1	8	yes	—
773	#121	C₂²×D₇₉	1	8	yes	—
774	#120	—	79	8	no	—
775	#120	—	79	8	no	—
776	#120	—	79	8	no	—
777	#120	—	79	8	no	—
778	#120	—	79	16	no	—
779	#120	—	79	16	no	—
780	#120	—	79	16	no	—
781	#120	—	79	16	no	—
782	#120	—	79	16	no	—
783	#120	—	79	16	no	—
784	#120	—	79	16	no	—
785	C₄×Q₈	—	79	8	no	—
786	C₄×D₄	—	79	16	no	—
787	C₄×D₄	—	79	16	no	—
788	C₄×D₄	—	79	8	no	—
789	C₄×D₄	—	79	8	no	—
790	C₄×D₄	—	79	8	no	—
791	C₄×D₄	—	79	8	no	—
792	C₄×D₄	—	79	8	no	—
793	C₄×D₄	—	79	8	no	—
794	C₄×D₄	—	79	8	no	—
795	C₄×D₄	—	79	8	no	—
796	C₄×D₄	—	79	8	no	—
797	C₄×D₄	—	79	8	no	—
798	C₄×D₄	—	79	16	no	—
799	C₄×D₄	—	79	16	no	—
800	C₄×D₄	—	79	8	no	—
801	C₄×D₄	—	79	16	no	—
802	C₄×D₄	—	79	16	no	—
803	#117	—	79	4	no	—
804	#117	—	79	4	no	—
805	#117	—	79	4	no	—
806	#117	—	79	4	no	—
807	#117	—	79	8	no	—
808	#117	—	79	8	no	—
809	#117	—	79	16	no	—
810	C₂×C₄⋊C₄	—	79	2	no	—
811	C₂×C₄⋊C₄	—	79	2	no	—
812	C₂×C₄⋊C₄	—	79	4	no	—
813	C₂×C₄⋊C₄	—	79	4	no	—
814	C₂×C₄⋊C₄	—	79	8	no	—
815	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
816	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
817	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	—
818	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	—
819	C₂×C₂²⋊C₄	—	79	4	no	—
820	C₂×C₂²⋊C₄	—	79	4	no	—
821	C₂×C₂²⋊C₄	—	79	4	no	—
822	C₂×C₂²⋊C₄	—	79	8	no	—
823	C₂×C₂²⋊C₄	—	79	8	no	—
824	C₂×C₂²⋊C₄	—	79	8	no	—
825	C₂×C₂²⋊C₄	—	79	4	no	—
826	C₂×C₂²⋊C₄	—	79	4	no	—
827	C₂×C₂²⋊C₄	—	79	16	no	—
828	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
831	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	—
832	C₂×C₄²	—	79	4	no	—
833	C₂⁴	—	2	4	no	—
834	C₂⁴	—	4	2	no	—
835	C₂⁴	—	4	2	no	—
836	C₂⁴	—	4	4	no	—
837	C₂⁴	—	4	4	no	—
838	C₂⁴	—	4	4	no	—
839	C₂⁴	—	79	8	no	—
840	C₂⁴	—	79	4	no	—
841	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
842	C₂⁴	C₂³×D₇₉	1	2	yes	—
843	C₂⁴	C₂³×D₇₉	1	2	yes	—
844	C₂⁴	C₂³×D₇₉	1	4	yes	—
845	C₂⁴	C₂³×D₇₉	1	4	yes	—
846	C₂⁴	C₂³×D₇₉	1	4	yes	—
847	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
848	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
849	#41	—	316	8	no	—
850	#41	—	316	8	no	—
851	#41	—	316	16	no	—
852	#41	—	316	8	no	—
853	#41	—	316	16	no	—
854	#41	—	316	32	no	—
855	#41	—	158	16	no	—
856	C₂×Q₈	—	316	4	no	—
857	C₂×Q₈	—	79	4	no	—
858	C₂×Q₈	—	79	8	no	—
859	C₂×Q₈	—	79	4	no	—
860	C₂×D₄	—	2	16	no	—
861	C₂×D₄	—	2	8	no	—
862	C₂×D₄	—	4	8	no	—
863	C₂×D₄	—	4	8	no	—
864	C₂×D₄	—	4	4	no	—
865	C₂×D₄	—	4	8	no	—
866	C₂×D₄	—	4	16	no	—
867	C₂×D₄	—	4	16	no	—
868	C₂×D₄	—	316	4	no	—
869	C₂×D₄	—	316	32	no	—
870	C₂×D₄	—	316	8	no	—
871	C₂×D₄	—	316	16	no	—
872	C₂×D₄	—	316	8	no	—
873	C₂×D₄	—	316	16	no	—
874	C₂×D₄	—	316	16	no	—
875	C₂×D₄	—	316	16	no	—
876	C₂×D₄	—	79	16	no	—
877	C₂×D₄	—	79	8	no	—
878	C₂×D₄	—	79	8	no	—
879	C₂×D₄	—	79	16	no	—
880	C₂×D₄	—	79	16	no	—
881	C₂×D₄	—	79	8	no	—
882	C₂×D₄	—	79	8	no	—
883	C₂×D₄	—	79	8	no	—
884	C₂×D₄	—	79	8	no	—
885	C₂×D₄	—	79	4	no	—
886	C₂×D₄	—	79	8	no	—
887	C₂×D₄	—	79	4	no	—
888	C₂×D₄	—	158	16	no	—
889	C₂×D₄	C₂³×D₇₉	1	16	yes	—
890	C₂×D₄	C₂³×D₇₉	1	8	yes	—
891	C₂×D₄	C₂³×D₇₉	1	8	yes	—
892	C₂×D₄	C₂³×D₇₉	1	16	yes	—
893	C₂²×C₄	—	2	4	no	—
894	C₂²×C₄	—	2	8	no	—
895	C₂²×C₄	—	4	4	no	—
896	C₂²×C₄	—	4	4	no	—
897	C₂²×C₄	—	4	4	no	—
898	C₂²×C₄	—	4	4	no	—
899	C₂²×C₄	—	4	4	no	—
900	C₂²×C₄	—	4	2	no	—
901	C₂²×C₄	—	4	4	no	—
902	C₂²×C₄	—	316	8	no	—
903	C₂²×C₄	—	79	4	no	—
904	C₂²×C₄	—	79	4	no	—
905	C₂²×C₄	—	79	8	no	—
906	C₂²×C₄	—	79	8	no	—
907	C₂²×C₄	—	79	8	no	—
908	C₂²×C₄	—	79	8	no	—
909	C₂²×C₄	—	79	16	no	—
910	C₂²×C₄	—	79	4	no	—
911	C₂²×C₄	—	79	8	no	—
912	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
913	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
914	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
915	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
916	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
917	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
918	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
919	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
920	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
921	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
922	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
923	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
924	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
925	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
926	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
927	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
928	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
929	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
930	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
931	C₄⋊C₄	—	79	8	no	—
932	C₄⋊C₄	—	79	8	no	—
933	C₄⋊C₄	—	79	8	no	—
934	C₄⋊C₄	—	79	8	no	—
935	C₄⋊C₄	—	79	16	no	—
936	C₄⋊C₄	—	79	16	no	—
937	C₄⋊C₄	—	79	4	no	—
938	C₄⋊C₄	—	79	4	no	—
939	C₄⋊C₄	—	79	4	no	—
940	C₄⋊C₄	—	79	4	no	—
941	C₄⋊C₄	—	79	8	no	—
942	C₄⋊C₄	—	79	8	no	—
943	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
944	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
945	C₂²⋊C₄	—	79	8	no	—
946	C₂²⋊C₄	—	79	8	no	—
947	C₂²⋊C₄	—	79	8	no	—
948	C₂²⋊C₄	—	79	16	no	—
949	C₂²⋊C₄	—	79	8	no	—
950	C₂²⋊C₄	—	79	8	no	—
951	C₂²⋊C₄	—	79	16	no	—
952	C₂²⋊C₄	—	79	16	no	—
953	C₂²⋊C₄	—	79	8	no	—
954	C₂²⋊C₄	—	79	8	no	—
955	C₂²⋊C₄	—	79	16	no	—
956	C₂²⋊C₄	—	79	8	no	—
957	C₂²⋊C₄	—	79	8	no	—
958	C₂²⋊C₄	—	79	8	no	—
959	C₂²⋊C₄	—	79	16	no	—
960	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
961	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
962	C₄²	—	79	8	no	—
963	C₄²	—	79	8	no	—
964	C₄²	—	79	16	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	4	no	—
969	C₂³	—	2	4	no	—
970	C₂³	—	2	4	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	4	no	—
973	C₂³	—	2	8	no	—
974	C₂³	—	2	8	no	—
975	C₂³	—	2	8	no	—
976	C₂³	—	4	1	no	—
977	C₂³	—	4	2	no	—
978	C₂³	—	4	1	no	—
979	C₂³	—	4	1	no	—
980	C₂³	—	4	2	no	—
981	C₂³	—	4	1	no	—
982	C₂³	—	4	4	no	—
983	C₂³	—	4	4	no	—
984	C₂³	—	4	4	no	—
985	C₂³	—	4	4	no	—
986	C₂³	—	4	4	no	—
987	C₂³	—	4	4	no	—
988	C₂³	—	4	16	no	—
989	C₂³	—	8	16	no	—
990	C₂³	—	316	4	no	—
991	C₂³	—	316	4	no	—
992	C₂³	—	316	8	no	—
993	C₂³	—	316	8	no	—
994	C₂³	—	316	8	no	—
995	C₂³	—	79	8	no	—
996	C₂³	—	158	8	no	—
997	C₂³	#14579206	1	4	yes	complemented
998	C₂³	C₂⁴×D₇₉	1	2	yes	—
999	C₂³	C₂⁴×D₇₉	1	8	yes	—
1000	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1001	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1002	C₂³	C₂⁴×D₇₉	1	2	yes	—
1003	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1004	Q₈	—	316	4	no	—
1005	Q₈	—	316	8	no	—
1006	Q₈	—	158	8	no	—
1007	D₄	—	2	32	no	—
1008	D₄	—	2	16	no	—
1009	D₄	—	4	8	no	—
1010	D₄	—	4	16	no	—
1011	D₄	—	316	8	no	—
1012	D₄	—	316	4	no	—
1013	D₄	—	316	16	no	—
1014	D₄	—	316	16	no	—
1015	D₄	—	316	16	no	—
1016	D₄	—	316	8	no	—
1017	D₄	—	316	8	no	—
1018	D₄	—	158	16	no	—
1019	D₄	—	158	16	no	—
1020	D₄	—	158	16	no	—
1021	D₄	—	158	16	no	—
1022	D₄	—	158	8	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	4	no	—
1025	C₂×C₄	—	2	8	no	—
1026	C₂×C₄	—	2	4	no	—
1027	C₂×C₄	—	2	4	no	—
1028	C₂×C₄	—	2	4	no	—
1029	C₂×C₄	—	2	4	no	—
1030	C₂×C₄	—	2	4	no	—
1031	C₂×C₄	—	2	4	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	4	2	no	—
1035	C₂×C₄	—	4	2	no	—
1036	C₂×C₄	—	4	2	no	—
1037	C₂×C₄	—	4	2	no	—
1038	C₂×C₄	—	4	1	no	—
1039	C₂×C₄	—	4	4	no	—
1040	C₂×C₄	—	4	4	no	—
1041	C₂×C₄	—	316	8	no	—
1042	C₂×C₄	—	316	16	no	—
1043	C₂×C₄	—	316	4	no	—
1044	C₂×C₄	—	316	8	no	—
1045	C₂×C₄	—	316	8	no	—
1046	C₂×C₄	—	316	4	no	—
1047	C₂×C₄	—	316	8	no	—
1048	C₂×C₄	—	79	8	no	—
1049	C₂×C₄	—	79	8	no	—
1050	C₂×C₄	—	79	8	no	—
1051	C₂×C₄	—	158	8	no	—
1052	C₂×C₄	—	158	16	no	—
1053	C₂×C₄	#14579206	1	4	yes	complemented
1054	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1055	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1056	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1057	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1058	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1059	C₂²	—	2	8	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	1	no	—
1062	C₂²	—	2	1	no	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	1	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	2	8	no	—
1070	C₂²	—	2	8	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	8	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	4	4	no	—
1075	C₂²	—	4	8	no	—
1076	C₂²	—	4	8	no	—
1077	C₂²	—	4	4	no	—
1078	C₂²	—	8	8	no	—
1079	C₂²	—	8	8	no	—
1080	C₂²	—	8	8	no	—
1081	C₂²	—	632	8	no	—
1082	C₂²	—	158	8	no	—
1083	C₂²	—	158	8	no	—
1084	C₂²	—	158	8	no	—
1085	C₂²	—	1264	8	no	—
1086	C₂²	C₂×#14579206	1	2	yes	—
1087	C₂²	C₂×#14579206	1	2	yes	—
1088	C₂²	C₂×#14579206	1	4	yes	—
1089	C₂²	#19099399	1	2	yes	—
1090	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	8	no	—
1095	C₄	—	158	8	no	—
1096	C₄	—	158	8	no	—
1097	C₄	—	158	8	no	—
1098	C₄	C₂×#14579206	1	4	yes	—
1099	C₂	—	2	2	no	—
1100	C₂	—	2	2	no	—
1101	C₂	—	2	2	no	—
1102	C₂	—	2	4	no	—
1103	C₂	—	4	2	no	—
1104	C₂	—	4	8	no	—
1105	C₂	—	316	8	no	—
1106	C₂	C₂²×#14579206	1	1	yes	characteristic
1107	C₂	C₂²×#14579206	1	1	yes	characteristic
1108	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₂²×#121×C₇₉	C₂
hypercenter	C₂²×#121	D₇₉
hypocenter	C₇₉	#62818
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂²×#121

Complements

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

N	H ≅ G/N	type
1. #23777720	C₂	semidirect
2. #23777635	C₂	semidirect
3. #23777622	C₂	semidirect
4. #23777590	C₂	semidirect
5. #23777426	C₂	semidirect
6. #23777234	C₂	semidirect
7. #23777157	C₂	semidirect
8. #23777129	C₂	semidirect
9. #23777109	C₂	semidirect
10. #23777089	C₂	semidirect
11. #23777065	C₂	semidirect
12. #23777035	C₂	semidirect
13. #23777035	C₂	semidirect
14. C₂×#19099074	C₂	semidirect
15. C₂²×#121×C₇₉	C₂	semidirect
16. C₂×#14579206	C₂²	semidirect
17. C₂×#14579206	C₂²	semidirect
18. C₂²×#11929624	C₂²	semidirect
19. #19099308	C₂²	semidirect
20. #19099301	C₂²	semidirect
21. #19099277	C₂²	semidirect
22. #19099268	C₂²	semidirect
23. #19099265	C₂²	semidirect
24. #19099261	C₂²	semidirect
25. #19099260	C₂²	semidirect
26. #19099256	C₂²	semidirect
27. #19099248	C₂²	semidirect
28. #19099239	C₂²	semidirect
29. #19099239	C₂²	semidirect
30. #19099231	C₂²	semidirect
31. #19099219	C₂²	semidirect
32. #19099214	C₂²	semidirect
33. #19099213	C₂²	semidirect
34. #19099210	C₂²	semidirect
35. #19099207	C₂²	semidirect
36. #19099207	C₂²	semidirect
37. #19099207	C₂²	semidirect
38. #19099207	C₂²	semidirect
39. #19099203	C₂²	semidirect
40. #19099203	C₂²	semidirect
41. #19099202	C₂²	semidirect
42. #19099197	C₂²	semidirect
43. D₄×C₂²⋊D₇₉	C₂²	semidirect
44. D₄×C₂²⋊D₇₉	C₂²	semidirect
45. D₄×C₂²⋊D₇₉	C₂²	semidirect
46. D₄×C₂²⋊D₇₉	C₂²	semidirect
47. #19099194	C₂²	semidirect
48. #19099189	C₂²	semidirect
49. #19099180	C₂²	semidirect
50. #19099166	C₂²	semidirect
51. #19099163	C₂²	semidirect
52. #19099160	C₂²	semidirect
53. #19099158	C₂²	semidirect
54. #19099151	C₂²	semidirect
55. #19099151	C₂²	semidirect
56. #19099150	C₂²	semidirect
57. #19099145	C₂²	semidirect
58. #19099144	C₂²	semidirect
59. #19099142	C₂²	semidirect
60. #19099140	C₂²	semidirect
61. #19099130	C₂²	semidirect
62. #19099130	C₂²	semidirect
63. #19099129	C₂²	semidirect
64. #19099125	C₂²	semidirect
65. #19099122	C₂²	semidirect
66. #19099122	C₂²	semidirect
67. #19099122	C₂²	semidirect
68. #19099121	C₂²	semidirect
69. #19099108	C₂²	semidirect
70. #19099094	C₂²	semidirect
71. #19099074	C₂²	semidirect
72. #19099074	C₂²	semidirect
73. #19099074	C₂²	semidirect
74. #19099074	C₂²	semidirect
75. #19099074	C₂²	semidirect
76. #19099074	C₂²	semidirect
77. #19099074	C₂²	semidirect
78. #19099074	C₂²	semidirect
79. #19099074	C₂²	semidirect
80. #19099073	C₂²	semidirect
81. C₂×#14579144	C₂²	semidirect
82. C₂×#14579140	C₂²	semidirect
83. C₂×#14579140	C₂²	semidirect
84. C₂×#14579135	C₂²	semidirect
85. C₂×#14579135	C₂²	semidirect
86. #121×D₇₉	C₂²	semidirect
87. C₂×#14579130	C₂²	semidirect
88. C₂×#14579130	C₂²	semidirect
89. #19099044	C₂²	semidirect
90. #19099038	C₂²	semidirect
91. #19099038	C₂²	semidirect
92. #19099036	C₂²	semidirect
93. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
95. C₂×#14579120	C₂²	semidirect
96. C₂³×D₄×C₇₉	C₂²	semidirect
97. C₂³×D₄×C₇₉	C₂²	semidirect
98. C₂⁴×C₄×C₇₉	C₂²	semidirect
99. C₂×#121×C₇₉	C₂²	semidirect
100. C₂×#121×C₇₉	C₂²	semidirect
101. C₂×#121×C₇₉	C₂²	semidirect
102. C₂×#121×C₇₉	C₂²	semidirect
103. C₂×#121×C₇₉	C₂²	semidirect
104. C₂×#121×C₇₉	C₂²	semidirect
105. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
106. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
113. C₂×#11929624	C₂³	semidirect
114. C₂×#11929624	C₂³	semidirect
115. C₂×#11929623	C₂³	semidirect
116. C₂×#11929623	C₂³	semidirect
117. C₂²×Dic₁₅₈	C₂³	semidirect
118. C₂²×D₃₁₆	C₂³	semidirect
125. C₂×D₄×D₇₉	C₂³	semidirect
126. C₂×D₄×D₇₉	C₂³	semidirect
127. C₂²×C₄×D₇₉	C₂³	semidirect
128. #14579160	C₂³	semidirect
129. #14579157	C₂³	semidirect
130. #14579157	C₂³	semidirect
131. #14579156	C₂³	semidirect
132. #14579154	C₂³	semidirect
133. #14579154	C₂³	semidirect
134. #14579152	C₂³	semidirect
135. #14579151	C₂³	semidirect
136. #14579148	C₂³	semidirect
137. #14579148	C₂³	semidirect
138. #14579147	C₂³	semidirect
139. #14579147	C₂³	semidirect
140. #14579146	C₂³	semidirect
141. #14579145	C₂³	semidirect
145. #14579144	C₂³	semidirect
146. #14579144	C₂³	semidirect
147. #14579143	C₂³	semidirect
148. #14579143	C₂³	semidirect
149. #14579142	C₂³	semidirect
150. #14579142	C₂³	semidirect
151. #14579142	C₂³	semidirect
152. #14579141	C₂³	semidirect
159. #14579140	C₂³	semidirect
160. #14579140	C₂³	semidirect
161. #14579140	C₂³	semidirect
162. #14579140	C₂³	semidirect
163. #14579139	C₂³	semidirect
164. #14579138	C₂³	semidirect
165. #14579138	C₂³	semidirect
166. #14579136	C₂³	semidirect
173. #14579135	C₂³	semidirect
174. #14579135	C₂³	semidirect
175. #14579135	C₂³	semidirect
176. #14579135	C₂³	semidirect
177. #14579134	C₂³	semidirect
178. #14579134	C₂³	semidirect
179. #14579133	C₂³	semidirect
180. #14579133	C₂³	semidirect
181. #14579133	C₂³	semidirect
182. #14579133	C₂³	semidirect
183. #14579133	C₂³	semidirect
184. #14579133	C₂³	semidirect
185. #14579132	C₂³	semidirect
186. #14579132	C₂³	semidirect
187. #14579132	C₂³	semidirect
188. #14579132	C₂³	semidirect
189. #14579131	C₂³	semidirect
197. #14579129	C₂³	semidirect
198. #14579129	C₂³	semidirect
199. #14579129	C₂³	semidirect
200. #14579126	C₂³	semidirect
201. D₄×Dic₇₉	C₂³	semidirect
202. D₄×Dic₇₉	C₂³	semidirect
203. D₄×Dic₇₉	C₂³	semidirect
204. D₄×Dic₇₉	C₂³	semidirect
205. #14579123	C₂³	semidirect
212. C₄×C₂²⋊D₇₉	C₂³	semidirect
213. C₄×C₂²⋊D₇₉	C₂³	semidirect
214. C₄×C₂²⋊D₇₉	C₂³	semidirect
215. C₄×C₂²⋊D₇₉	C₂³	semidirect
216. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
217. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
221. #14579120	C₂³	semidirect
222. #14579120	C₂³	semidirect
223. #14579119	C₂³	semidirect
224. #14579117	C₂³	semidirect
225. C₂×C₄⋊Dic₇₉	C₂³	semidirect
226. C₂×C₄⋊Dic₇₉	C₂³	semidirect
227. C₂×Dic₇₉⋊C₄	C₂³	semidirect
228. C₂×Dic₇₉⋊C₄	C₂³	semidirect
229. C₄⋊C₄×D₇₉	C₂³	semidirect
236. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
237. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
238. C₂²⋊C₄×D₇₉	C₂³	semidirect
239. C₂×C₄×Dic₇₉	C₂³	semidirect
435. C₂³×C₇₉	H(5,𝔽₂)	semidirect
471. C₂×C₄×C₇₉	H(5,𝔽₂)	semidirect
569. C₂²×#121	D₇₉	semidirect
570. C₇₉	#62818	semidirect
574. C₂³×D₄	C₂×D₇₉	semidirect
575. C₂³×D₄	C₂×D₇₉	semidirect
576. C₂⁴×C₄	C₂×D₇₉	semidirect
645. C₂×#121	C₂×D₇₉	semidirect
646. C₂×#121	C₂×D₇₉	semidirect
647. C₂×#121	C₂×D₇₉	semidirect
648. C₂×#121	C₂×D₇₉	semidirect
649. C₂×#121	C₂×D₇₉	semidirect
650. C₂×#121	C₂×D₇₉	semidirect
660. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
661. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
997. C₂³	#14579206	semidirect
1053. C₂×C₄	#14579206	semidirect

Maximal subgroups

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

subgroup	index
#23777720	2
#23777635	2
#23777622	2
#23777590	2
#23777426	2
#23777234	2
#23777157	2
#23777129	2
#23777109	2
#23777089	2
#23777065	2
#23777035	2
C₂×#19099074	2
C₂²×#121×C₇₉	2
#62818	79