Subgroups — #35197375

Order 20224.

11618 conjugacy classes of subgroups.

The subgroup lattice has 1262 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099399	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#14579206	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777192	C₂	1	4	yes	maximal, complemented
4	#23777190	C₂	1	4	yes	maximal, complemented
5	#23777176	C₂	1	4	yes	maximal, complemented
6	#23777175	C₂	1	4	yes	maximal, complemented
7	#23777067	C₂	1	8	yes	maximal, complemented
8	#23777065	C₂	1	8	yes	maximal, complemented
9	#23777056	C₂	1	4	yes	maximal, complemented
10	#23777034	C₂	1	4	yes	maximal, complemented
11	#23777029	C₂	1	8	yes	maximal, complemented
12	#23776733	C₂	1	1	yes	maximal, characteristic, complemented
13	#23776731	C₂	1	4	yes	maximal, complemented
14	#23776729	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099130	C₂	1	1	yes	maximal, characteristic, complemented
16	#535×D₇₉	C₂	1	4	yes	maximal, complemented
17	#23776601	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#535×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#19099399	—	2	16	no	—
20	C₂×#14579209	C₂²	1	2	yes	complemented
21	C₂×#14579208	C₂²	1	2	yes	complemented
22	C₂×#14579208	C₂²	1	2	yes	complemented
23	C₂×#14579207	C₂²	1	2	yes	complemented
24	C₂×#14579207	C₂²	1	2	yes	complemented
25	C₂×#14579206	—	2	16	no	—
26	C₂×#14579206	C₂²	1	4	yes	complemented
27	C₂×#14579206	C₂²	1	4	yes	complemented
28	C₂×#14579206	C₂²	1	4	yes	complemented
29	C₂×#14579206	C₂²	1	4	yes	complemented
30	C₂×#14579206	C₂²	1	4	yes	complemented
31	C₂×#14579206	C₂²	1	2	yes	complemented
32	C₂²×#11929624	C₂²	1	1	yes	characteristic
33	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11929624	C₂²	1	4	yes	complemented
36	C₂²×#11929623	C₂²	1	2	yes	complemented
37	C₂²×#11929623	C₂²	1	2	yes	complemented
38	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
39	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
40	C₂³×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
41	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
42	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
43	#19099233	C₂²	1	16	yes	complemented
44	#19099231	C₂²	1	16	yes	complemented
45	#19099221	C₂²	1	16	yes	complemented
46	#19099219	C₂²	1	16	yes	complemented
47	#19099210	C₂²	1	16	yes	complemented
48	#19099206	C₂²	1	16	yes	complemented
49	#19099203	C₂²	1	32	yes	complemented
50	#19099200	C₂²	1	32	yes	complemented
51	#19099198	C₂²	1	16	yes	complemented
52	#19099197	C₂²	1	16	yes	complemented
53	D₄×C₂²⋊D₇₉	C₂²	1	32	yes	complemented
54	#19099195	C₂²	1	32	yes	complemented
55	#19099144	C₂²	1	4	yes	complemented
56	#19099142	C₂²	1	16	yes	complemented
57	#19099141	C₂²	1	4	yes	complemented
58	#19099139	C₂²	1	2	yes	complemented
59	#19099139	C₂²	1	2	yes	complemented
60	#19099137	C₂²	1	2	yes	complemented
61	#19099134	C₂²	1	2	yes	complemented
62	#19099133	C₂²	1	8	yes	complemented
63	#19099132	C₂²	1	2	yes	complemented
64	#19099132	C₂²	1	2	yes	complemented
65	#19099131	C₂²	1	8	yes	complemented
66	#19099130	C₂²	1	4	yes	complemented
67	#19099130	C₂²	1	4	yes	complemented
68	#19099130	C₂²	1	2	yes	complemented
69	#19099130	C₂²	1	4	yes	complemented
70	#19099130	C₂²	1	4	yes	complemented
71	#19099129	C₂²	1	16	yes	complemented
72	#19099128	C₂²	1	16	yes	complemented
73	#19099127	C₂²	1	2	yes	complemented
74	#19099126	C₂²	1	8	yes	complemented
75	#19099126	C₂²	1	8	yes	complemented
76	#19099125	C₂²	1	4	yes	complemented
77	#19099123	C₂²	1	16	yes	complemented
78	#19099122	C₂²	1	4	yes	complemented
79	#19099113	C₂²	1	4	yes	complemented
80	#19099112	C₂²	1	8	yes	complemented
81	#19099111	C₂²	1	8	yes	complemented
82	#19099109	C₂²	1	4	yes	complemented
83	C₂×#14579157	C₂²	1	2	yes	complemented
84	#127×D₇₉	C₂²	1	8	yes	complemented
85	C₂×#14579148	C₂²	1	2	yes	complemented
86	#124×D₇₉	C₂²	1	8	yes	complemented
87	#19099075	C₂²	1	4	yes	complemented
88	#19099075	C₂²	1	4	yes	complemented
89	#19099074	C₂²	1	4	yes	complemented
90	#19099073	C₂²	1	16	yes	complemented
91	#19099070	C₂²	1	4	yes	complemented
92	#19099069	C₂²	1	16	yes	complemented
93	C₂×#14579132	C₂²	1	4	yes	complemented
94	#121×D₇₉	C₂²	1	16	yes	complemented
95	C₂×#14579130	C₂²	1	4	yes	complemented
96	#120×D₇₉	C₂²	1	16	yes	complemented
97	#19099044	C₂²	1	4	yes	complemented
98	#19099043	C₂²	1	4	yes	complemented
99	#19099040	C₂²	1	2	yes	complemented
100	#19099037	C₂²	1	2	yes	complemented
101	#19099036	C₂²	1	4	yes	complemented
102	C₄×#11929624	C₂²	1	4	yes	complemented
103	#19099031	C₂²	1	4	yes	complemented
104	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
105	#117×D₇₉	C₂²	1	4	yes	complemented
106	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
107	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
108	#535×C₇₉	C₂²	1	4	yes	complemented
109	#535×C₇₉	C₂²	1	4	yes	complemented
110	#535×C₇₉	C₂²	1	4	yes	complemented
111	#535×C₇₉	C₂²	1	4	yes	complemented
112	C₂×#127×C₇₉	C₂²	1	2	yes	complemented
113	C₂×#124×C₇₉	C₂²	1	2	yes	complemented
114	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
115	C₂×#120×C₇₉	C₂²	1	4	yes	complemented
116	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
117	C₂⁴×D₇₉	C₂³	1	4	yes	—
118	#14579209	—	2	16	no	—
119	#14579208	—	2	16	no	—
120	#14579208	—	2	16	no	—
121	#14579207	—	2	16	no	—
122	#14579207	—	2	16	no	—
123	#14579206	—	2	32	no	—
124	#14579206	—	2	32	no	—
125	#14579206	—	2	32	no	—
126	#14579206	—	2	32	no	—
127	#14579206	—	2	16	no	—
128	#14579206	—	2	32	no	—
129	C₂×#11929625	C₂³	1	4	yes	complemented
130	C₂×#11929625	C₂³	1	4	yes	complemented
131	C₂×#11929624	—	2	8	no	—
132	C₂×#11929624	—	2	8	no	—
133	C₂×#11929624	—	2	32	no	—
134	C₂×#11929624	D₄	1	16	yes	complemented
135	C₂×#11929624	C₂³	1	2	yes	—
136	C₂×#11929624	C₂³	1	2	yes	—
137	C₂×#11929624	C₂³	1	2	yes	—
138	C₂×#11929624	C₂³	1	2	yes	—
139	C₂×#11929624	C₂³	1	2	yes	—
140	C₂×#11929624	C₂³	1	2	yes	—
141	C₂×#11929624	C₂³	1	2	yes	—
142	C₂×#11929624	C₂³	1	2	yes	—
143	C₂×#11929624	C₂³	1	2	yes	—
144	C₂×#11929624	C₂³	1	2	yes	—
145	C₂×#11929624	C₂³	1	8	yes	complemented
146	C₂×#11929624	C₂³	1	2	yes	complemented
147	C₂×#11929624	C₂³	1	4	yes	complemented
148	C₂×#11929624	C₂³	1	4	yes	complemented
149	C₂×#11929624	C₂³	1	8	yes	complemented
150	C₂×#11929624	C₂³	1	2	yes	complemented
151	C₂×#11929623	—	2	16	no	—
152	C₂×#11929623	—	2	16	no	—
153	C₂×#11929623	C₂³	1	8	yes	—
154	C₂×#11929623	C₂³	1	8	yes	—
155	C₂×#11929623	C₂³	1	8	yes	—
156	C₂×#11929623	C₂³	1	8	yes	—
157	C₂×#11929623	C₂³	1	8	yes	—
158	C₂×#11929623	C₂³	1	8	yes	complemented
159	C₂×#11929623	C₂³	1	4	yes	complemented
160	C₂×#11929623	C₂³	1	4	yes	complemented
161	#41×D₇₉	—	2	32	no	—
162	#41×D₇₉	—	2	32	no	—
163	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
164	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
165	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic, complemented
166	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
167	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
168	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
169	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
170	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
171	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
172	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic, complemented
173	C₂²×C₂²⋊D₇₉	—	2	32	no	—
174	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
175	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
176	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
179	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
180	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
182	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
183	C₂×D₄×D₇₉	—	2	16	no	—
184	C₂×D₄×D₇₉	—	2	16	no	—
185	C₂×D₄×D₇₉	C₂³	1	8	yes	—
186	C₂×D₄×D₇₉	C₂³	1	8	yes	—
187	C₂×D₄×D₇₉	C₂³	1	8	yes	—
188	C₂×D₄×D₇₉	C₂³	1	8	yes	—
189	C₂×D₄×D₇₉	C₂³	1	8	yes	—
190	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
191	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
192	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
193	C₂×D₄×D₇₉	C₂³	1	32	yes	complemented
194	C₂³×Dic₇₉	C₂³	1	4	yes	—
195	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
196	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
197	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
198	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
199	#14579161	C₂³	1	4	yes	complemented
200	#14579159	C₂³	1	4	yes	complemented
201	#14579158	C₂³	1	4	yes	complemented
202	#14579157	C₂³	1	32	yes	complemented
203	#14579157	C₂³	1	8	yes	complemented
204	#14579157	C₂³	1	4	yes	complemented
205	#14579157	C₂³	1	8	yes	complemented
206	#14579150	C₂³	1	4	yes	complemented
207	#14579149	C₂³	1	4	yes	complemented
208	#14579149	C₂³	1	4	yes	complemented
209	#14579148	C₂³	1	8	yes	complemented
210	#14579148	C₂³	1	8	yes	complemented
211	#14579148	C₂³	1	4	yes	complemented
212	#14579147	C₂³	1	32	yes	complemented
213	#14579145	C₂³	1	8	yes	—
214	#14579145	C₂³	1	8	yes	complemented
215	#14579144	C₂³	1	8	yes	complemented
216	#14579143	C₂³	1	32	yes	complemented
217	#14579142	C₂³	1	8	yes	—
218	#14579141	C₂³	1	8	yes	complemented
219	#14579141	C₂³	1	8	yes	complemented
220	#14579140	C₂³	1	8	yes	complemented
221	#14579138	C₂³	1	32	yes	complemented
222	#14579137	C₂³	1	8	yes	complemented
223	#14579136	C₂³	1	8	yes	complemented
224	#14579136	C₂³	1	8	yes	complemented
225	#14579135	C₂³	1	8	yes	complemented
226	#14579135	C₂³	1	16	yes	complemented
227	#14579134	C₂³	1	32	yes	complemented
228	#14579134	C₂³	1	32	yes	complemented
229	#14579133	C₂³	1	16	yes	complemented
230	#14579133	C₂³	1	32	yes	complemented
231	#14579133	C₂³	1	32	yes	complemented
232	#14579132	C₂³	1	8	yes	complemented
233	#14579132	C₂³	1	32	yes	complemented
234	#14579132	C₂³	1	16	yes	complemented
235	#14579132	C₂³	1	16	yes	complemented
236	#14579131	C₂³	1	8	yes	—
237	#14579131	C₂³	1	8	yes	complemented
238	#14579131	C₂³	1	32	yes	complemented
239	#14579130	C₂³	1	16	yes	—
240	#14579130	C₂³	1	8	yes	complemented
241	#14579130	C₂³	1	16	yes	complemented
242	#14579129	C₂³	1	8	yes	—
243	#14579129	C₂³	1	32	yes	complemented
244	#14579129	C₂³	1	32	yes	complemented
245	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
246	#14579126	C₂³	1	8	yes	complemented
247	C₄×D₃₁₆	C₂³	1	8	yes	complemented
248	C₄×D₃₁₆	C₂³	1	16	yes	complemented
249	D₄×Dic₇₉	C₂³	1	32	yes	complemented
250	#14579123	C₂³	1	8	yes	complemented
251	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
252	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
253	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
254	(C₂²⋊D₇₉)⋊C₄	C₂³	1	32	yes	complemented
255	#14579120	C₂³	1	2	yes	—
256	#14579120	C₂³	1	2	yes	—
257	#14579120	C₂³	1	2	yes	complemented
258	#14579120	C₂³	1	2	yes	complemented
259	#14579119	C₂³	1	8	yes	complemented
260	#14579118	C₂³	1	8	yes	complemented
261	#14579117	C₂³	1	8	yes	—
262	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	complemented
263	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
264	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
265	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	complemented
266	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
267	C₂²⋊C₄×D₇₉	C₂³	1	32	yes	complemented
268	C₂×C₄×Dic₇₉	C₂³	1	2	yes	complemented
269	C₄²×D₇₉	C₂³	1	8	yes	complemented
270	C₂⁵×C₇₉	C₂³	1	2	yes	—
271	C₂×#41×C₇₉	—	2	8	no	—
272	C₂×#41×C₇₉	C₂³	1	2	yes	—
273	C₂×#41×C₇₉	C₂³	1	2	yes	—
274	C₂×#41×C₇₉	C₂³	1	2	yes	complemented
275	C₂×#41×C₇₉	C₂³	1	2	yes	complemented
276	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
277	C₂²×D₄×C₇₉	—	2	8	no	—
278	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
279	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
280	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
281	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
282	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
283	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
284	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
285	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic, complemented
286	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
287	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
288	C₂³×C₄×C₇₉	C₂³	1	2	yes	complemented
289	#127×C₇₉	C₂³	1	8	yes	complemented
290	#127×C₇₉	C₂³	1	8	yes	complemented
291	#124×C₇₉	C₂³	1	8	yes	complemented
292	#124×C₇₉	C₂³	1	8	yes	complemented
293	#121×C₇₉	C₂³	1	16	yes	complemented
294	#121×C₇₉	C₂³	1	16	yes	complemented
295	#120×C₇₉	C₂³	1	16	yes	—
296	#120×C₇₉	C₂³	1	16	yes	complemented
297	#117×C₇₉	C₂³	1	2	yes	—
298	#117×C₇₉	C₂³	1	2	yes	—
299	#117×C₇₉	C₂³	1	2	yes	complemented
300	#117×C₇₉	C₂³	1	2	yes	complemented
301	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	complemented
302	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
303	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
304	C₂×C₄²×C₇₉	C₂³	1	2	yes	complemented
305	C₂³×D₇₉	—	2	16	no	—
306	C₂³×D₇₉	—	8	8	no	—
307	C₂³×D₇₉	C₂⁴	1	2	yes	—
308	C₂³×D₇₉	C₂⁴	1	16	yes	—
309	C₂³×D₇₉	C₂⁴	1	8	yes	—
310	C₂³×D₇₉	C₂⁴	1	2	yes	—
311	C₂³×D₇₉	C₂⁴	1	2	yes	—
312	#11929625	—	2	16	no	—
313	#11929625	—	2	16	no	—
314	#11929624	—	2	16	no	—
315	#11929624	—	2	32	no	—
316	#11929624	—	2	16	no	—
317	#11929624	—	2	8	no	—
318	#11929624	—	2	8	no	—
319	#11929624	—	2	8	no	—
320	#11929624	—	2	8	no	—
321	#11929624	—	2	8	no	—
322	#11929624	—	2	8	no	—
323	#11929624	—	2	8	no	—
324	#11929624	—	2	8	no	—
325	#11929624	—	2	32	no	—
326	#11929624	C₂×D₄	1	16	yes	complemented
327	#11929624	C₂×D₄	1	16	yes	complemented
328	#11929624	C₂×D₄	1	16	yes	complemented
329	#11929624	C₂×D₄	1	16	yes	complemented
330	#11929623	—	2	32	no	—
331	#11929623	—	2	16	no	—
332	#11929623	—	2	32	no	—
333	#11929623	—	2	32	no	—
334	#11929623	—	2	16	no	—
335	#11929623	—	2	32	no	—
336	#11929623	—	2	32	no	—
337	#11929623	—	2	32	no	—
338	C₂×Dic₁₅₈	—	2	16	no	—
339	C₂×Dic₁₅₈	—	2	4	no	—
340	C₂×Dic₁₅₈	—	2	4	no	—
341	C₂×Dic₁₅₈	C₂×D₄	1	8	yes	complemented
342	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
343	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
344	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
345	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
346	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
347	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
348	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
349	Q₈×D₇₉	—	2	16	no	—
350	Q₈×D₇₉	—	2	16	no	—
351	C₂×D₃₁₆	—	2	16	no	—
352	C₂×D₃₁₆	—	2	4	no	—
353	C₂×D₃₁₆	—	2	4	no	—
354	C₂×D₃₁₆	C₂×D₄	1	8	yes	complemented
355	C₂×D₃₁₆	C₂⁴	1	2	yes	—
356	C₂×D₃₁₆	C₂⁴	1	2	yes	—
357	C₂×D₃₁₆	C₂⁴	1	2	yes	—
358	C₂×D₃₁₆	C₂⁴	1	2	yes	—
359	C₂×D₃₁₆	C₂⁴	1	8	yes	—
360	C₂×D₃₁₆	C₂⁴	1	16	yes	—
361	C₂×D₃₁₆	C₂⁴	1	2	yes	—
362	C₂×D₃₁₆	C₂⁴	1	2	yes	—
363	C₂×C₂²⋊D₇₉	—	2	16	no	—
364	C₂×C₂²⋊D₇₉	—	2	8	no	—
365	C₂×C₂²⋊D₇₉	—	2	8	no	—
366	C₂×C₂²⋊D₇₉	—	2	16	no	—
367	C₂×C₂²⋊D₇₉	—	2	32	no	—
368	C₂×C₂²⋊D₇₉	—	2	64	no	—
369	C₂×C₂²⋊D₇₉	—	2	64	no	—
370	C₂×C₂²⋊D₇₉	—	8	8	no	—
371	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
372	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
373	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
374	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
375	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
376	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
377	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
378	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
379	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
380	C₂×C₂²⋊D₇₉	C₂⁴	1	32	yes	—
381	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
382	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
383	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
384	D₄×D₇₉	—	2	16	no	—
385	D₄×D₇₉	—	2	32	no	—
386	D₄×D₇₉	—	2	32	no	—
387	D₄×D₇₉	—	2	16	no	—
388	D₄×D₇₉	—	2	32	no	—
389	D₄×D₇₉	—	2	32	no	—
390	D₄×D₇₉	—	2	32	no	—
391	D₄×D₇₉	—	2	32	no	—
392	D₄×D₇₉	—	8	32	no	—
393	C₂²×Dic₇₉	—	2	16	no	—
394	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
395	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
396	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
397	C₂²×Dic₇₉	C₂⁴	1	16	yes	—
398	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
399	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
400	C₂×C₄×D₇₉	—	2	32	no	—
401	C₂×C₄×D₇₉	—	2	8	no	—
402	C₂×C₄×D₇₉	—	2	8	no	—
403	C₂×C₄×D₇₉	C₂×D₄	1	16	yes	complemented
404	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
405	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
406	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
407	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
408	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
409	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
410	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
411	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
412	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
413	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
414	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
415	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
416	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
417	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
418	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
419	C₂²⋊Dic₇₉	C₂⁴	1	32	yes	—
420	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
421	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
422	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
423	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
424	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
425	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
426	C₄×Dic₇₉	C₂⁴	1	4	yes	—
427	C₄×Dic₇₉	C₂⁴	1	16	yes	—
428	C₄×Dic₇₉	C₂⁴	1	4	yes	—
429	C₂⁴×C₇₉	—	2	8	no	—
430	C₂⁴×C₇₉	—	8	4	no	—
431	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
432	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
433	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
434	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
435	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
436	#41×C₇₉	—	2	8	no	—
437	#41×C₇₉	—	2	8	no	—
438	#41×C₇₉	—	2	8	no	—
439	#41×C₇₉	—	2	8	no	—
440	C₂×Q₈×C₇₉	—	2	4	no	—
441	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
442	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
443	C₂×D₄×C₇₉	—	2	8	no	—
444	C₂×D₄×C₇₉	—	2	8	no	—
445	C₂×D₄×C₇₉	—	2	8	no	—
446	C₂×D₄×C₇₉	—	2	8	no	—
447	C₂×D₄×C₇₉	—	2	8	no	—
448	C₂×D₄×C₇₉	—	2	8	no	—
449	C₂×D₄×C₇₉	—	2	8	no	—
450	C₂×D₄×C₇₉	—	2	4	no	—
451	C₂×D₄×C₇₉	—	8	8	no	—
452	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
453	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
454	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
455	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
456	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
457	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
458	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
459	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
460	C₂×D₄×C₇₉	C₂⁴	1	32	yes	—
461	C₂²×C₄×C₇₉	—	2	8	no	—
462	C₂²×C₄×C₇₉	C₂×D₄	1	8	yes	complemented
463	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
464	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
465	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
466	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
467	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
473	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
474	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
475	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
476	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
477	C₂²⋊C₄×C₇₉	C₂⁴	1	32	yes	—
478	C₄²×C₇₉	C₂⁴	1	4	yes	—
479	C₄²×C₇₉	C₂⁴	1	4	yes	—
480	C₂³×C₇₉	—	2	8	no	—
481	C₂³×C₇₉	—	2	4	no	—
482	C₂³×C₇₉	—	2	8	no	—
483	C₂³×C₇₉	—	2	8	no	—
484	C₂³×C₇₉	—	4	8	no	—
485	C₂³×C₇₉	—	4	2	no	—
486	C₂³×C₇₉	—	4	8	no	—
487	C₂³×C₇₉	—	4	4	no	—
488	C₂³×C₇₉	—	4	8	no	—
489	C₂³×C₇₉	—	8	16	no	—
490	C₂³×C₇₉	C₂²×D₄	1	4	yes	—
491	C₂³×C₇₉	C₂⁵	1	8	yes	—
492	C₂³×C₇₉	C₂⁵	1	4	yes	—
493	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
494	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
495	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
496	C₂²×D₇₉	—	2	4	no	—
497	C₂²×D₇₉	—	2	4	no	—
498	C₂²×D₇₉	—	2	16	no	—
499	C₂²×D₇₉	—	2	32	no	—
500	C₂²×D₇₉	—	4	4	no	—
501	C₂²×D₇₉	—	4	4	no	—
502	C₂²×D₇₉	—	4	16	no	—
503	C₂²×D₇₉	—	4	32	no	—
504	C₂²×D₇₉	—	4	4	no	—
505	C₂²×D₇₉	—	8	32	no	—
506	C₂²×D₇₉	C₂²×D₄	1	8	yes	—
507	C₂²×D₇₉	C₂⁵	1	4	yes	—
508	C₂²×D₇₉	C₂⁵	1	4	yes	—
509	C₂²×D₇₉	C₂⁵	1	4	yes	—
510	Q₈×C₇₉	—	2	4	no	—
511	Q₈×C₇₉	—	2	4	no	—
512	D₄×C₇₉	—	2	8	no	—
513	D₄×C₇₉	—	2	8	no	—
514	D₄×C₇₉	—	2	8	no	—
515	D₄×C₇₉	—	2	8	no	—
516	D₄×C₇₉	—	2	8	no	—
517	D₄×C₇₉	—	2	8	no	—
518	D₄×C₇₉	—	2	4	no	—
519	D₄×C₇₉	—	2	4	no	—
520	D₄×C₇₉	—	4	32	no	—
521	C₂×C₄×C₇₉	—	2	4	no	—
522	C₂×C₄×C₇₉	—	2	8	no	—
523	C₂×C₄×C₇₉	—	2	8	no	—
524	C₂×C₄×C₇₉	—	4	4	no	—
525	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
526	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
527	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
528	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
529	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
530	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
531	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
532	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
533	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
534	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
535	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
536	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
537	C₂²⋊D₇₉	—	2	8	no	—
538	C₂²⋊D₇₉	—	2	8	no	—
539	C₂²⋊D₇₉	—	2	8	no	—
540	C₂²⋊D₇₉	—	2	8	no	—
541	C₂²⋊D₇₉	—	2	32	no	—
542	C₂²⋊D₇₉	—	2	16	no	—
543	C₂²⋊D₇₉	—	2	32	no	—
544	C₂²⋊D₇₉	—	2	16	no	—
545	C₂²⋊D₇₉	—	4	16	no	—
546	C₂²⋊D₇₉	—	4	32	no	—
547	C₂²⋊D₇₉	C₂²×D₄	1	16	yes	—
548	C₂²⋊D₇₉	C₂²×D₄	1	16	yes	—
549	C₂×Dic₇₉	—	2	4	no	—
550	C₂×Dic₇₉	—	2	4	no	—
551	C₂×Dic₇₉	—	2	16	no	—
552	C₂×Dic₇₉	—	2	32	no	—
553	C₂×Dic₇₉	—	4	4	no	—
554	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
555	C₂×Dic₇₉	C₂⁵	1	8	yes	—
556	C₂×Dic₇₉	C₂⁵	1	4	yes	—
557	C₂×Dic₇₉	C₂⁵	1	4	yes	—
558	C₂×Dic₇₉	C₂⁵	1	4	yes	—
559	D₃₁₆	—	2	16	no	—
560	D₃₁₆	—	2	4	no	—
561	D₃₁₆	—	2	4	no	—
562	D₃₁₆	—	2	4	no	—
563	D₃₁₆	—	2	4	no	—
564	D₃₁₆	—	4	16	no	—
565	D₃₁₆	C₂²×D₄	1	8	yes	—
566	D₃₁₆	C₂²×D₄	1	8	yes	—
567	C₄×D₇₉	—	2	16	no	—
568	C₄×D₇₉	—	2	8	no	—
569	C₄×D₇₉	—	2	8	no	—
570	C₄×D₇₉	—	2	8	no	—
571	C₄×D₇₉	—	2	8	no	—
572	C₄×D₇₉	—	2	16	no	—
573	C₄×D₇₉	—	4	16	no	—
574	C₄×D₇₉	C₂²×D₄	1	16	yes	—
575	C₄×D₇₉	C₂²×D₄	1	16	yes	—
576	Dic₁₅₈	—	2	4	no	—
577	Dic₁₅₈	—	2	4	no	—
578	Dic₁₅₈	—	2	4	no	—
579	Dic₁₅₈	—	2	4	no	—
580	Dic₁₅₈	—	2	16	no	—
581	Dic₁₅₈	C₂²×D₄	1	8	yes	—
582	Dic₁₅₈	C₂²×D₄	1	8	yes	—
583	C₂²×C₇₉	—	2	2	no	—
584	C₂²×C₇₉	—	2	2	no	—
585	C₂²×C₇₉	—	2	2	no	—
586	C₂²×C₇₉	—	2	4	no	—
587	C₂²×C₇₉	—	2	8	no	—
588	C₂²×C₇₉	—	2	8	no	—
589	C₂²×C₇₉	—	2	16	no	—
590	C₂²×C₇₉	—	4	4	no	—
591	C₂²×C₇₉	—	4	16	no	—
592	C₂²×C₇₉	—	8	4	no	—
593	C₂²×C₇₉	—	8	8	no	—
594	C₂²×C₇₉	—	8	8	no	—
595	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
596	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
597	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
598	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
599	C₂×D₇₉	—	2	8	no	—
600	C₂×D₇₉	—	2	4	no	—
601	C₂×D₇₉	—	2	4	no	—
602	C₂×D₇₉	—	2	8	no	—
603	C₂×D₇₉	—	2	8	no	—
604	C₂×D₇₉	—	4	8	no	—
605	C₂×D₇₉	—	4	8	no	—
606	C₂×D₇₉	—	8	16	no	—
607	C₂×D₇₉	—	8	32	no	—
608	C₂×D₇₉	—	8	4	no	—
609	C₂×D₇₉	C₂³×D₄	1	8	yes	—
610	C₄×C₇₉	—	2	4	no	—
611	C₄×C₇₉	—	2	8	no	—
612	C₄×C₇₉	C₂³×D₄	1	2	yes	—
613	C₄×C₇₉	C₂³×D₄	1	2	yes	—
614	C₄×C₇₉	C₂³×D₄	1	2	yes	—
615	C₄×C₇₉	C₂³×D₄	1	2	yes	—
616	Dic₇₉	—	2	4	no	—
617	Dic₇₉	—	2	4	no	—
618	Dic₇₉	—	2	8	no	—
619	Dic₇₉	C₂³×D₄	1	8	yes	—
620	#62852	—	79	1	no	maximal, Sylow
621	C₂×C₇₉	—	2	2	no	—
622	C₂×C₇₉	—	2	2	no	—
623	C₂×C₇₉	—	2	2	no	—
624	C₂×C₇₉	—	4	8	no	—
625	C₂×C₇₉	—	4	4	no	—
626	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
627	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
628	D₇₉	—	2	8	no	—
629	D₇₉	—	4	4	no	—
630	D₇₉	—	4	4	no	—
631	C₂×#585	—	79	1	no	—
632	C₂²×H(5,𝔽₂)	—	79	1	no	—
633	#3500	—	79	4	no	—
634	#3500	—	79	4	no	—
635	#3498	—	79	4	no	—
636	#3498	—	79	4	no	—
637	#3488	—	79	8	no	—
638	#3488	—	79	8	no	—
639	#3487	—	79	4	no	—
640	#3484	—	79	4	no	—
641	#3484	—	79	8	no	—
642	#3449	—	79	1	no	—
643	#3449	—	79	4	no	—
644	#3449	—	79	1	no	—
645	C₂×#535	—	79	1	no	—
646	C₂×#535	—	79	4	no	—
647	C₂×#535	D₇₉	1	1	yes	characteristic, complemented
648	#3428	—	79	1	no	—
649	C₇₉	#62852	1	1	yes	characteristic, complemented, Sylow
650	#585	—	158	16	no	—
651	C₂×2₋¹⁺⁴	—	79	2	no	—
652	C₂×2₋¹⁺⁴	—	79	2	no	—
653	C₂×2₋¹⁺⁴	—	79	2	no	—
654	C₂×H(5,𝔽₂)	—	79	2	no	—
655	C₂×H(5,𝔽₂)	—	79	2	no	—
656	C₂×H(5,𝔽₂)	—	79	4	no	—
657	C₂×H(5,𝔽₂)	—	79	4	no	—
658	C₂×H(5,𝔽₂)	—	79	4	no	—
659	C₂×H(5,𝔽₂)	—	79	4	no	—
660	C₂×H(5,𝔽₂)	—	79	4	no	—
661	C₂×H(5,𝔽₂)	—	79	2	no	—
662	C₂×H(5,𝔽₂)	—	158	16	no	—
663	C₂²×#41	—	79	4	no	—
664	C₂²×#41	—	79	4	no	—
665	C₂²×#41	—	79	2	no	—
666	C₂²×#41	—	79	2	no	—
667	C₂²×#41	—	79	1	no	—
668	C₂²×#41	—	79	1	no	—
669	C₂²×#41	—	79	1	no	—
670	C₂²×#41	—	79	4	no	—
671	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
672	C₂³×D₄	—	79	4	no	—
673	C₂³×D₄	—	79	2	no	—
674	C₂³×D₄	—	79	2	no	—
675	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
676	#550	—	79	16	no	—
677	#550	—	79	16	no	—
678	#548	—	79	16	no	—
679	#548	—	79	16	no	—
680	#546	—	79	16	no	—
681	#546	—	79	16	no	—
682	#546	—	79	32	no	—
683	#546	—	79	32	no	—
684	D₄²	—	79	32	no	—
685	D₄²	—	79	16	no	—
686	D₄²	—	79	16	no	—
687	D₄²	—	79	32	no	—
688	#537	—	79	4	no	—
689	#537	—	79	16	no	—
690	#537	—	79	4	no	—
691	#536	—	79	2	no	—
692	#536	—	79	2	no	—
693	#536	—	79	8	no	—
694	#536	—	79	2	no	—
695	#536	—	79	2	no	—
696	#535	—	79	2	no	—
697	#535	—	79	4	no	—
698	#535	—	79	4	no	—
699	#535	—	79	4	no	—
700	#535	—	79	4	no	—
701	#535	—	79	2	no	—
702	#535	—	79	8	no	—
703	#535	—	79	8	no	—
704	#535	—	79	8	no	—
705	#535	—	79	16	no	—
706	#535	—	79	16	no	—
707	#535	—	79	2	no	—
708	#535	—	79	2	no	—
709	#535	C₂×D₇₉	1	4	yes	complemented
710	#535	C₂×D₇₉	1	4	yes	complemented
711	#535	C₂×D₇₉	1	4	yes	complemented
712	#535	C₂×D₇₉	1	4	yes	complemented
713	#534	—	79	4	no	—
714	#534	—	79	16	no	—
715	#534	—	79	4	no	—
716	#532	—	79	4	no	—
717	#532	—	79	8	no	—
718	#532	—	79	8	no	—
719	#532	—	79	4	no	—
720	C₂×#127	—	79	2	no	—
721	C₂×#127	—	79	8	no	—
722	C₂×#127	C₂×D₇₉	1	2	yes	complemented
723	C₂×#124	—	79	2	no	—
724	C₂×#124	—	79	8	no	—
725	C₂×#124	C₂×D₇₉	1	2	yes	complemented
726	#525	—	79	4	no	—
727	#525	—	79	4	no	—
728	#525	—	79	16	no	—
729	#525	—	79	16	no	—
730	#525	—	79	4	no	—
731	#525	—	79	4	no	—
732	C₂×#121	—	79	4	no	—
733	C₂×#121	—	79	16	no	—
734	C₂×#121	C₂×D₇₉	1	4	yes	complemented
735	C₂×#120	—	79	4	no	—
736	C₂×#120	—	79	16	no	—
737	C₂×#120	C₂×D₇₉	1	4	yes	complemented
738	#520	—	79	4	no	—
739	#520	—	79	4	no	—
740	#519	—	79	2	no	—
741	#518	—	79	2	no	—
742	#518	—	79	4	no	—
743	C₄×#41	—	79	4	no	—
744	C₄×#41	—	79	4	no	—
745	C₂×#117	—	79	1	no	—
746	C₂×#117	—	79	4	no	—
747	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
748	C₂⁵	—	79	4	no	—
749	C₂⁵	C₂²×D₇₉	1	2	yes	—
750	2₋¹⁺⁴	—	158	16	no	—
751	2₋¹⁺⁴	—	158	16	no	—
752	2₋¹⁺⁴	—	158	16	no	—
753	H(5,𝔽₂)	—	158	32	no	—
754	H(5,𝔽₂)	—	158	32	no	—
755	H(5,𝔽₂)	—	158	32	no	—
756	H(5,𝔽₂)	—	158	32	no	—
757	H(5,𝔽₂)	—	158	32	no	—
758	H(5,𝔽₂)	—	158	16	no	—
759	H(5,𝔽₂)	—	158	16	no	—
760	H(5,𝔽₂)	—	158	16	no	—
761	C₂×#41	—	2	8	no	—
762	C₂×#41	—	79	4	no	—
763	C₂×#41	—	79	4	no	—
764	C₂×#41	—	79	8	no	—
765	C₂×#41	—	79	8	no	—
766	C₂×#41	—	79	8	no	—
767	C₂×#41	—	79	8	no	—
768	C₂×#41	—	79	8	no	—
769	C₂×#41	—	79	4	no	—
770	C₂×#41	—	79	8	no	—
771	C₂×#41	—	79	4	no	—
772	C₂×#41	—	79	16	no	—
773	C₂×#41	—	79	2	no	—
774	C₂×#41	—	79	2	no	—
775	C₂×#41	—	79	2	no	—
776	C₂×#41	—	79	2	no	—
777	C₂×#41	—	79	2	no	—
778	C₂×#41	—	79	2	no	—
779	C₂×#41	—	79	2	no	—
780	C₂×#41	—	79	2	no	—
781	C₂×#41	—	79	2	no	—
782	C₂×#41	—	79	2	no	—
783	C₂×#41	—	79	2	no	—
784	C₂×#41	—	79	8	no	—
785	C₂×#41	—	79	2	no	—
786	C₂×#41	—	79	4	no	—
787	C₂×#41	—	79	8	no	—
788	C₂×#41	—	79	4	no	—
789	C₂×#41	—	158	32	no	—
790	C₂×#41	—	158	16	no	—
791	C₂×#41	—	158	32	no	—
792	C₂×#41	—	158	16	no	—
793	C₂×#41	—	158	32	no	—
794	C₂×#41	—	158	8	no	—
795	C₂×#41	—	158	8	no	—
796	C₂×#41	C₂²×D₇₉	1	2	yes	—
797	C₂×#41	C₂²×D₇₉	1	2	yes	—
798	C₂×#41	C₂²×D₇₉	1	2	yes	complemented
799	C₂×#41	C₂²×D₇₉	1	2	yes	complemented
800	C₂²×Q₈	—	79	4	no	—
801	C₂²×Q₈	—	79	4	no	—
802	C₂²×Q₈	—	79	1	no	—
803	C₂²×Q₈	—	79	1	no	—
804	C₂²×Q₈	—	79	1	no	—
805	C₂²×Q₈	—	79	4	no	—
806	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
807	C₂²×D₄	—	2	8	no	—
808	C₂²×D₄	—	79	2	no	—
809	C₂²×D₄	—	79	8	no	—
810	C₂²×D₄	—	79	2	no	—
811	C₂²×D₄	—	79	4	no	—
812	C₂²×D₄	—	79	2	no	—
813	C₂²×D₄	—	79	4	no	—
814	C₂²×D₄	—	79	8	no	—
815	C₂²×D₄	—	79	16	no	—
816	C₂²×D₄	—	79	16	no	—
817	C₂²×D₄	—	79	32	no	—
818	C₂²×D₄	—	79	8	no	—
819	C₂²×D₄	—	79	8	no	—
820	C₂²×D₄	—	79	8	no	—
821	C₂²×D₄	—	79	4	no	—
822	C₂²×D₄	—	79	8	no	—
823	C₂²×D₄	—	79	4	no	—
824	C₂²×D₄	—	79	8	no	—
825	C₂²×D₄	—	79	8	no	—
826	C₂²×D₄	—	79	1	no	—
827	C₂²×D₄	—	79	1	no	—
828	C₂²×D₄	—	79	1	no	—
829	C₂²×D₄	—	79	4	no	—
830	C₂²×D₄	—	158	16	no	—
831	C₂²×D₄	—	158	16	no	—
832	C₂²×D₄	—	158	32	no	—
833	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
834	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
835	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
836	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
837	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
838	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
839	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
840	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic, complemented
841	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
842	C₂³×C₄	—	79	2	no	—
843	C₂³×C₄	—	79	4	no	—
844	C₂³×C₄	—	79	8	no	—
845	C₂³×C₄	—	79	2	no	—
846	C₂³×C₄	—	79	2	no	—
847	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
848	C₂³×C₄	C₂²×D₇₉	1	2	yes	complemented
849	C₄⋊Q₈	—	79	4	no	—
850	C₄⋊Q₈	—	79	4	no	—
851	#127	—	79	4	no	—
852	#127	—	79	8	no	—
853	#127	—	79	8	no	—
854	#127	—	79	32	no	—
855	#127	—	79	4	no	—
856	#127	C₂²×D₇₉	1	8	yes	complemented
857	#127	C₂²×D₇₉	1	8	yes	complemented
858	#124	—	79	4	no	—
859	#124	—	79	8	no	—
860	#124	—	79	8	no	—
861	#124	—	79	4	no	—
862	#124	—	79	32	no	—
863	#124	—	79	4	no	—
864	#124	—	79	4	no	—
865	#124	C₂²×D₇₉	1	8	yes	complemented
866	#124	C₂²×D₇₉	1	8	yes	complemented
867	#123	—	79	8	no	—
868	#123	—	79	8	no	—
869	#123	—	79	8	no	—
870	#123	—	79	32	no	—
871	#123	—	79	8	no	—
872	C₂²⋊Q₈	—	79	8	no	—
873	C₂²⋊Q₈	—	79	8	no	—
874	C₂²⋊Q₈	—	79	8	no	—
875	C₂²⋊Q₈	—	79	8	no	—
876	C₂²⋊Q₈	—	79	32	no	—
877	#121	—	79	16	no	—
878	#121	—	79	16	no	—
879	#121	—	79	32	no	—
880	#121	—	79	8	no	—
881	#121	—	79	32	no	—
882	#121	—	79	32	no	—
883	#121	—	79	16	no	—
884	#121	—	79	8	no	—
885	#121	—	79	16	no	—
886	#121	—	79	8	no	—
887	#121	—	79	8	no	—
888	#121	—	79	32	no	—
889	#121	—	79	32	no	—
890	#121	C₂²×D₇₉	1	16	yes	complemented
891	#121	C₂²×D₇₉	1	16	yes	complemented
892	#120	—	79	16	no	—
893	#120	—	79	16	no	—
894	#120	—	79	8	no	—
895	#120	—	79	8	no	—
896	#120	—	79	32	no	—
897	#120	—	79	32	no	—
898	#120	—	79	8	no	—
899	#120	—	79	32	no	—
900	#120	—	79	8	no	—
901	#120	C₂²×D₇₉	1	16	yes	—
902	#120	C₂²×D₇₉	1	16	yes	complemented
903	C₄×Q₈	—	79	8	no	—
904	C₄×Q₈	—	79	8	no	—
905	C₄×D₄	—	79	32	no	—
906	C₄×D₄	—	79	16	no	—
907	C₄×D₄	—	79	16	no	—
908	C₄×D₄	—	79	8	no	—
909	C₄×D₄	—	79	16	no	—
910	C₄×D₄	—	79	32	no	—
911	C₄×D₄	—	79	8	no	—
912	C₄×D₄	—	79	16	no	—
913	#117	—	79	2	no	—
914	#117	—	79	2	no	—
915	#117	—	79	2	no	—
916	#117	—	79	2	no	—
917	#117	—	79	8	no	—
918	#117	—	79	8	no	—
919	#117	—	79	8	no	—
920	#117	C₂²×D₇₉	1	2	yes	—
921	#117	C₂²×D₇₉	1	2	yes	—
922	#117	C₂²×D₇₉	1	2	yes	complemented
923	#117	C₂²×D₇₉	1	2	yes	complemented
924	C₂×C₄⋊C₄	—	79	2	no	—
925	C₂×C₄⋊C₄	—	79	8	no	—
926	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	complemented
927	C₂×C₂²⋊C₄	—	79	2	no	—
928	C₂×C₂²⋊C₄	—	79	8	no	—
929	C₂×C₂²⋊C₄	—	79	8	no	—
930	C₂×C₂²⋊C₄	—	79	32	no	—
931	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
932	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
933	C₂×C₄²	—	79	2	no	—
934	C₂×C₄²	—	79	8	no	—
935	C₂×C₄²	C₂²×D₇₉	1	2	yes	complemented
936	C₂⁴	—	2	8	no	—
937	C₂⁴	—	8	4	no	—
938	C₂⁴	—	79	2	no	—
939	C₂⁴	—	79	16	no	—
940	C₂⁴	—	79	2	no	—
941	C₂⁴	—	79	8	no	—
942	C₂⁴	—	79	2	no	—
943	C₂⁴	—	632	8	no	—
944	C₂⁴	—	158	16	no	—
945	C₂⁴	C₂³×D₇₉	1	4	yes	—
946	C₂⁴	C₂³×D₇₉	1	4	yes	—
947	C₂⁴	C₂³×D₇₉	1	4	yes	—
948	C₂⁴	C₂³×D₇₉	1	2	yes	—
949	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
950	#41	—	2	8	no	—
951	#41	—	2	8	no	—
952	#41	—	2	8	no	—
953	#41	—	2	8	no	—
954	#41	—	79	16	no	—
955	#41	—	79	16	no	—
956	#41	—	79	16	no	—
957	#41	—	79	16	no	—
958	#41	—	158	32	no	—
959	#41	—	158	32	no	—
960	#41	—	158	16	no	—
961	#41	—	158	16	no	—
962	#41	—	158	32	no	—
963	#41	—	158	32	no	—
964	#41	—	158	32	no	—
965	#41	—	158	16	no	—
966	#41	—	158	16	no	—
967	#41	—	158	32	no	—
968	#41	—	158	32	no	—
969	#41	—	158	32	no	—
970	#41	—	158	16	no	—
971	#41	—	158	16	no	—
972	#41	—	158	8	no	—
973	#41	—	158	8	no	—
974	#41	—	158	8	no	—
975	#41	—	158	8	no	—
976	#41	—	158	8	no	—
977	#41	—	158	8	no	—
978	#41	—	158	8	no	—
979	#41	—	158	8	no	—
980	C₂×Q₈	—	2	4	no	—
981	C₂×Q₈	—	79	2	no	—
982	C₂×Q₈	—	79	2	no	—
983	C₂×Q₈	—	79	2	no	—
984	C₂×Q₈	—	79	8	no	—
985	C₂×Q₈	—	79	2	no	—
986	C₂×Q₈	—	79	2	no	—
987	C₂×Q₈	—	79	2	no	—
988	C₂×Q₈	—	79	8	no	—
989	C₂×Q₈	—	158	16	no	—
990	C₂×Q₈	—	158	16	no	—
991	C₂×Q₈	—	158	16	no	—
992	C₂×Q₈	—	158	4	no	—
993	C₂×Q₈	—	158	4	no	—
994	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
995	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
996	C₂×D₄	—	2	8	no	—
997	C₂×D₄	—	2	8	no	—
998	C₂×D₄	—	2	8	no	—
999	C₂×D₄	—	2	8	no	—
1000	C₂×D₄	—	2	8	no	—
1001	C₂×D₄	—	2	8	no	—
1002	C₂×D₄	—	2	8	no	—
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	8	8	no	—
1005	C₂×D₄	—	79	16	no	—
1006	C₂×D₄	—	79	32	no	—
1007	C₂×D₄	—	79	4	no	—
1008	C₂×D₄	—	79	4	no	—
1009	C₂×D₄	—	79	16	no	—
1010	C₂×D₄	—	79	4	no	—
1011	C₂×D₄	—	79	8	no	—
1012	C₂×D₄	—	79	4	no	—
1013	C₂×D₄	—	79	16	no	—
1014	C₂×D₄	—	79	4	no	—
1015	C₂×D₄	—	79	4	no	—
1016	C₂×D₄	—	79	16	no	—
1017	C₂×D₄	—	79	8	no	—
1018	C₂×D₄	—	79	16	no	—
1019	C₂×D₄	—	79	2	no	—
1020	C₂×D₄	—	79	2	no	—
1021	C₂×D₄	—	79	8	no	—
1022	C₂×D₄	—	79	2	no	—
1023	C₂×D₄	—	79	2	no	—
1024	C₂×D₄	—	79	2	no	—
1025	C₂×D₄	—	79	2	no	—
1026	C₂×D₄	—	79	8	no	—
1027	C₂×D₄	—	632	32	no	—
1028	C₂×D₄	—	632	8	no	—
1029	C₂×D₄	—	158	16	no	—
1030	C₂×D₄	—	158	32	no	—
1031	C₂×D₄	—	158	32	no	—
1032	C₂×D₄	—	158	16	no	—
1033	C₂×D₄	—	158	16	no	—
1034	C₂×D₄	—	158	32	no	—
1035	C₂×D₄	—	158	32	no	—
1036	C₂×D₄	—	158	32	no	—
1037	C₂×D₄	—	158	16	no	—
1038	C₂×D₄	—	158	32	no	—
1039	C₂×D₄	—	158	64	no	—
1040	C₂×D₄	—	158	64	no	—
1041	C₂×D₄	—	158	32	no	—
1042	C₂×D₄	—	158	16	no	—
1043	C₂×D₄	—	158	8	no	—
1044	C₂×D₄	—	158	8	no	—
1045	C₂×D₄	—	158	4	no	—
1046	C₂×D₄	—	158	4	no	—
1047	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1048	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1049	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1050	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1051	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1052	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1053	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1054	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1055	C₂×D₄	C₂³×D₇₉	1	32	yes	—
1056	C₂²×C₄	—	2	8	no	—
1057	C₂²×C₄	—	79	4	no	—
1058	C₂²×C₄	—	79	16	no	—
1059	C₂²×C₄	—	79	2	no	—
1060	C₂²×C₄	—	79	4	no	—
1061	C₂²×C₄	—	79	4	no	—
1062	C₂²×C₄	—	79	16	no	—
1063	C₂²×C₄	—	79	2	no	—
1064	C₂²×C₄	—	79	8	no	—
1065	C₂²×C₄	—	79	16	no	—
1066	C₂²×C₄	—	79	2	no	—
1067	C₂²×C₄	—	79	8	no	—
1068	C₂²×C₄	—	79	8	no	—
1069	C₂²×C₄	—	79	4	no	—
1070	C₂²×C₄	—	79	4	no	—
1071	C₂²×C₄	—	79	4	no	—
1072	C₂²×C₄	—	79	4	no	—
1073	C₂²×C₄	—	158	32	no	—
1074	C₂²×C₄	—	158	16	no	—
1075	C₂²×C₄	—	158	8	no	—
1076	C₂²×C₄	—	158	8	no	—
1077	C₂²×C₄	D₄×D₇₉	1	8	yes	complemented
1078	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1079	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1080	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1081	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1082	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1088	C₄⋊C₄	—	79	16	no	—
1089	C₄⋊C₄	—	79	16	no	—
1090	C₄⋊C₄	—	79	4	no	—
1091	C₄⋊C₄	—	79	4	no	—
1092	C₄⋊C₄	—	79	16	no	—
1093	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1094	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1095	C₂²⋊C₄	—	79	4	no	—
1096	C₂²⋊C₄	—	79	32	no	—
1097	C₂²⋊C₄	—	79	4	no	—
1098	C₂²⋊C₄	—	79	16	no	—
1099	C₂²⋊C₄	—	79	16	no	—
1100	C₂²⋊C₄	—	79	16	no	—
1101	C₂²⋊C₄	—	79	16	no	—
1102	C₂²⋊C₄	—	79	16	no	—
1103	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1104	C₂²⋊C₄	C₂³×D₇₉	1	32	yes	—
1105	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1106	C₄²	—	79	4	no	—
1107	C₄²	—	79	16	no	—
1108	C₄²	—	79	4	no	—
1109	C₄²	C₂³×D₇₉	1	4	yes	—
1110	C₄²	C₂³×D₇₉	1	4	yes	—
1111	C₂³	—	2	8	no	—
1112	C₂³	—	2	4	no	—
1113	C₂³	—	2	8	no	—
1114	C₂³	—	2	8	no	—
1115	C₂³	—	4	2	no	—
1116	C₂³	—	4	8	no	—
1117	C₂³	—	4	4	no	—
1118	C₂³	—	4	8	no	—
1119	C₂³	—	4	8	no	—
1120	C₂³	—	8	16	no	—
1121	C₂³	—	316	4	no	—
1122	C₂³	—	316	4	no	—
1123	C₂³	—	316	4	no	—
1124	C₂³	—	316	16	no	—
1125	C₂³	—	316	32	no	—
1126	C₂³	—	79	8	no	—
1127	C₂³	—	79	4	no	—
1128	C₂³	—	79	4	no	—
1129	C₂³	—	79	4	no	—
1130	C₂³	—	632	32	no	—
1131	C₂³	—	158	16	no	—
1132	C₂³	—	158	32	no	—
1133	C₂³	—	158	4	no	—
1134	C₂³	—	158	4	no	—
1135	C₂³	C₂×D₄×D₇₉	1	4	yes	—
1136	C₂³	C₂⁴×D₇₉	1	8	yes	—
1137	C₂³	C₂⁴×D₇₉	1	4	yes	—
1138	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1139	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1140	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1141	Q₈	—	2	4	no	—
1142	Q₈	—	2	4	no	—
1143	Q₈	—	79	8	no	—
1144	Q₈	—	79	8	no	—
1145	Q₈	—	158	16	no	—
1146	Q₈	—	158	4	no	—
1147	Q₈	—	158	4	no	—
1148	Q₈	—	158	4	no	—
1149	Q₈	—	158	4	no	—
1150	D₄	—	2	8	no	—
1151	D₄	—	2	8	no	—
1152	D₄	—	2	8	no	—
1153	D₄	—	2	8	no	—
1154	D₄	—	2	8	no	—
1155	D₄	—	2	8	no	—
1156	D₄	—	2	4	no	—
1157	D₄	—	2	4	no	—
1158	D₄	—	4	32	no	—
1159	D₄	—	316	16	no	—
1160	D₄	—	316	16	no	—
1161	D₄	—	316	32	no	—
1162	D₄	—	79	16	no	—
1163	D₄	—	79	16	no	—
1164	D₄	—	79	8	no	—
1165	D₄	—	79	8	no	—
1166	D₄	—	158	16	no	—
1167	D₄	—	158	32	no	—
1168	D₄	—	158	16	no	—
1169	D₄	—	158	32	no	—
1170	D₄	—	158	16	no	—
1171	D₄	—	158	8	no	—
1172	D₄	—	158	8	no	—
1173	D₄	—	158	8	no	—
1174	D₄	—	158	8	no	—
1175	D₄	—	158	4	no	—
1176	D₄	—	158	4	no	—
1177	D₄	—	158	4	no	—
1178	D₄	—	158	4	no	—
1179	C₂×C₄	—	2	4	no	—
1180	C₂×C₄	—	2	8	no	—
1181	C₂×C₄	—	2	8	no	—
1182	C₂×C₄	—	4	4	no	—
1183	C₂×C₄	—	316	16	no	—
1184	C₂×C₄	—	316	4	no	—
1185	C₂×C₄	—	79	4	no	—
1186	C₂×C₄	—	79	8	no	—
1187	C₂×C₄	—	79	16	no	—
1188	C₂×C₄	—	79	16	no	—
1189	C₂×C₄	—	79	8	no	—
1190	C₂×C₄	—	79	4	no	—
1191	C₂×C₄	—	79	4	no	—
1192	C₂×C₄	—	158	16	no	—
1193	C₂×C₄	—	158	16	no	—
1194	C₂×C₄	—	158	32	no	—
1195	C₂×C₄	—	158	16	no	—
1196	C₂×C₄	—	158	4	no	—
1197	C₂×C₄	—	158	4	no	—
1198	C₂×C₄	—	158	8	no	—
1199	C₂×C₄	—	158	8	no	—
1200	C₂×C₄	—	158	8	no	—
1201	C₂×C₄	—	158	8	no	—
1202	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1203	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1204	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1205	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1206	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1207	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1208	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1209	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1210	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1211	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1212	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1213	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1214	C₂²	—	2	2	no	—
1215	C₂²	—	2	2	no	—
1216	C₂²	—	2	2	no	—
1217	C₂²	—	2	4	no	—
1218	C₂²	—	2	8	no	—
1219	C₂²	—	2	8	no	—
1220	C₂²	—	2	16	no	—
1221	C₂²	—	4	4	no	—
1222	C₂²	—	4	16	no	—
1223	C₂²	—	8	8	no	—
1224	C₂²	—	8	8	no	—
1225	C₂²	—	8	4	no	—
1226	C₂²	—	316	8	no	—
1227	C₂²	—	316	8	no	—
1228	C₂²	—	79	8	no	—
1229	C₂²	—	632	4	no	—
1230	C₂²	—	632	32	no	—
1231	C₂²	—	632	16	no	—
1232	C₂²	—	158	4	no	—
1233	C₂²	—	158	4	no	—
1234	C₂²	—	158	8	no	—
1235	C₂²	—	158	8	no	—
1236	C₂²	—	158	8	no	—
1237	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1238	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1239	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1240	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1241	C₄	—	2	4	no	—
1242	C₄	—	2	8	no	—
1243	C₄	—	79	8	no	—
1244	C₄	—	158	4	no	—
1245	C₄	—	158	4	no	—
1246	C₄	—	158	8	no	—
1247	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1248	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1249	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1250	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1251	C₂	—	2	2	no	—
1252	C₂	—	2	2	no	—
1253	C₂	—	2	2	no	—
1254	C₂	—	4	8	no	—
1255	C₂	—	4	4	no	—
1256	C₂	—	316	4	no	—
1257	C₂	—	316	4	no	—
1258	C₂	—	158	8	no	—
1259	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1260	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	#62852
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. C₂×#19099399	C₂	semidirect
2. C₂²×#14579206	C₂	semidirect
3. #23777192	C₂	semidirect
4. #23777190	C₂	semidirect
5. #23777176	C₂	semidirect
6. #23777175	C₂	semidirect
7. #23777067	C₂	semidirect
8. #23777065	C₂	semidirect
9. #23777056	C₂	semidirect
10. #23777034	C₂	semidirect
11. #23777029	C₂	semidirect
12. #23776733	C₂	semidirect
13. #23776731	C₂	semidirect
14. #23776729	C₂	semidirect
15. C₂×#19099130	C₂	semidirect
16. #535×D₇₉	C₂	semidirect
17. #23776601	C₂	semidirect
18. C₂×#535×C₇₉	C₂	semidirect
20. C₂×#14579209	C₂²	semidirect
21. C₂×#14579208	C₂²	semidirect
22. C₂×#14579208	C₂²	semidirect
23. C₂×#14579207	C₂²	semidirect
24. C₂×#14579207	C₂²	semidirect
26. C₂×#14579206	C₂²	semidirect
27. C₂×#14579206	C₂²	semidirect
28. C₂×#14579206	C₂²	semidirect
29. C₂×#14579206	C₂²	semidirect
30. C₂×#14579206	C₂²	semidirect
31. C₂×#14579206	C₂²	semidirect
33. C₂²×#11929624	C₂²	semidirect
34. C₂²×#11929624	C₂²	semidirect
35. C₂²×#11929624	C₂²	semidirect
36. C₂²×#11929623	C₂²	semidirect
37. C₂²×#11929623	C₂²	semidirect
38. C₂×#41×D₇₉	C₂²	semidirect
39. C₂×#41×D₇₉	C₂²	semidirect
40. C₂³×C₂²⋊D₇₉	C₂²	semidirect
41. C₂²×D₄×D₇₉	C₂²	semidirect
42. C₂²×D₄×D₇₉	C₂²	semidirect
43. #19099233	C₂²	semidirect
44. #19099231	C₂²	semidirect
45. #19099221	C₂²	semidirect
46. #19099219	C₂²	semidirect
47. #19099210	C₂²	semidirect
48. #19099206	C₂²	semidirect
49. #19099203	C₂²	semidirect
50. #19099200	C₂²	semidirect
51. #19099198	C₂²	semidirect
52. #19099197	C₂²	semidirect
53. D₄×C₂²⋊D₇₉	C₂²	semidirect
54. #19099195	C₂²	semidirect
55. #19099144	C₂²	semidirect
56. #19099142	C₂²	semidirect
57. #19099141	C₂²	semidirect
58. #19099139	C₂²	semidirect
59. #19099139	C₂²	semidirect
60. #19099137	C₂²	semidirect
61. #19099134	C₂²	semidirect
62. #19099133	C₂²	semidirect
63. #19099132	C₂²	semidirect
64. #19099132	C₂²	semidirect
65. #19099131	C₂²	semidirect
66. #19099130	C₂²	semidirect
67. #19099130	C₂²	semidirect
68. #19099130	C₂²	semidirect
69. #19099130	C₂²	semidirect
70. #19099130	C₂²	semidirect
71. #19099129	C₂²	semidirect
72. #19099128	C₂²	semidirect
73. #19099127	C₂²	semidirect
74. #19099126	C₂²	semidirect
75. #19099126	C₂²	semidirect
76. #19099125	C₂²	semidirect
77. #19099123	C₂²	semidirect
78. #19099122	C₂²	semidirect
79. #19099113	C₂²	semidirect
80. #19099112	C₂²	semidirect
81. #19099111	C₂²	semidirect
82. #19099109	C₂²	semidirect
83. C₂×#14579157	C₂²	semidirect
84. #127×D₇₉	C₂²	semidirect
85. C₂×#14579148	C₂²	semidirect
86. #124×D₇₉	C₂²	semidirect
87. #19099075	C₂²	semidirect
88. #19099075	C₂²	semidirect
89. #19099074	C₂²	semidirect
90. #19099073	C₂²	semidirect
91. #19099070	C₂²	semidirect
92. #19099069	C₂²	semidirect
93. C₂×#14579132	C₂²	semidirect
94. #121×D₇₉	C₂²	semidirect
95. C₂×#14579130	C₂²	semidirect
96. #120×D₇₉	C₂²	semidirect
97. #19099044	C₂²	semidirect
98. #19099043	C₂²	semidirect
99. #19099040	C₂²	semidirect
100. #19099037	C₂²	semidirect
101. #19099036	C₂²	semidirect
102. C₄×#11929624	C₂²	semidirect
103. #19099031	C₂²	semidirect
104. C₂×#14579120	C₂²	semidirect
105. #117×D₇₉	C₂²	semidirect
106. C₂²×#41×C₇₉	C₂²	semidirect
107. C₂³×D₄×C₇₉	C₂²	semidirect
108. #535×C₇₉	C₂²	semidirect
109. #535×C₇₉	C₂²	semidirect
110. #535×C₇₉	C₂²	semidirect
111. #535×C₇₉	C₂²	semidirect
112. C₂×#127×C₇₉	C₂²	semidirect
113. C₂×#124×C₇₉	C₂²	semidirect
114. C₂×#121×C₇₉	C₂²	semidirect
115. C₂×#120×C₇₉	C₂²	semidirect
116. C₂×#117×C₇₉	C₂²	semidirect
129. C₂×#11929625	C₂³	semidirect
130. C₂×#11929625	C₂³	semidirect
134. C₂×#11929624	D₄	semidirect
145. C₂×#11929624	C₂³	semidirect
146. C₂×#11929624	C₂³	semidirect
147. C₂×#11929624	C₂³	semidirect
148. C₂×#11929624	C₂³	semidirect
149. C₂×#11929624	C₂³	semidirect
150. C₂×#11929624	C₂³	semidirect
158. C₂×#11929623	C₂³	semidirect
159. C₂×#11929623	C₂³	semidirect
160. C₂×#11929623	C₂³	semidirect
165. C₂²×Dic₁₅₈	C₂³	semidirect
166. C₂²×Dic₁₅₈	C₂³	semidirect
167. C₂×Q₈×D₇₉	C₂³	semidirect
168. C₂×Q₈×D₇₉	C₂³	semidirect
171. C₂²×D₃₁₆	C₂³	semidirect
172. C₂²×D₃₁₆	C₂³	semidirect
181. C₂²×C₂²⋊D₇₉	C₂³	semidirect
182. C₂²×C₂²⋊D₇₉	C₂³	semidirect
190. C₂×D₄×D₇₉	C₂³	semidirect
191. C₂×D₄×D₇₉	C₂³	semidirect
192. C₂×D₄×D₇₉	C₂³	semidirect
193. C₂×D₄×D₇₉	C₂³	semidirect
197. C₂²×C₄×D₇₉	C₂³	semidirect
198. C₂²×C₄×D₇₉	C₂³	semidirect
199. #14579161	C₂³	semidirect
200. #14579159	C₂³	semidirect
201. #14579158	C₂³	semidirect
202. #14579157	C₂³	semidirect
203. #14579157	C₂³	semidirect
204. #14579157	C₂³	semidirect
205. #14579157	C₂³	semidirect
206. #14579150	C₂³	semidirect
207. #14579149	C₂³	semidirect
208. #14579149	C₂³	semidirect
209. #14579148	C₂³	semidirect
210. #14579148	C₂³	semidirect
211. #14579148	C₂³	semidirect
212. #14579147	C₂³	semidirect
214. #14579145	C₂³	semidirect
215. #14579144	C₂³	semidirect
216. #14579143	C₂³	semidirect
218. #14579141	C₂³	semidirect
219. #14579141	C₂³	semidirect
220. #14579140	C₂³	semidirect
221. #14579138	C₂³	semidirect
222. #14579137	C₂³	semidirect
223. #14579136	C₂³	semidirect
224. #14579136	C₂³	semidirect
225. #14579135	C₂³	semidirect
226. #14579135	C₂³	semidirect
227. #14579134	C₂³	semidirect
228. #14579134	C₂³	semidirect
229. #14579133	C₂³	semidirect
230. #14579133	C₂³	semidirect
231. #14579133	C₂³	semidirect
232. #14579132	C₂³	semidirect
233. #14579132	C₂³	semidirect
234. #14579132	C₂³	semidirect
235. #14579132	C₂³	semidirect
237. #14579131	C₂³	semidirect
238. #14579131	C₂³	semidirect
240. #14579130	C₂³	semidirect
241. #14579130	C₂³	semidirect
243. #14579129	C₂³	semidirect
244. #14579129	C₂³	semidirect
245. C₄×Dic₁₅₈	C₂³	semidirect
246. #14579126	C₂³	semidirect
247. C₄×D₃₁₆	C₂³	semidirect
248. C₄×D₃₁₆	C₂³	semidirect
249. D₄×Dic₇₉	C₂³	semidirect
250. #14579123	C₂³	semidirect
251. C₄×C₂²⋊D₇₉	C₂³	semidirect
252. C₄×C₂²⋊D₇₉	C₂³	semidirect
253. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
254. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
257. #14579120	C₂³	semidirect
258. #14579120	C₂³	semidirect
259. #14579119	C₂³	semidirect
260. #14579118	C₂³	semidirect
262. C₂×C₄⋊Dic₇₉	C₂³	semidirect
263. C₄⋊C₄×D₇₉	C₂³	semidirect
265. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
267. C₂²⋊C₄×D₇₉	C₂³	semidirect
268. C₂×C₄×Dic₇₉	C₂³	semidirect
269. C₄²×D₇₉	C₂³	semidirect
274. C₂×#41×C₇₉	C₂³	semidirect
275. C₂×#41×C₇₉	C₂³	semidirect
276. C₂²×Q₈×C₇₉	C₂³	semidirect
285. C₂²×D₄×C₇₉	C₂³	semidirect
286. C₂²×D₄×C₇₉	C₂³	semidirect
288. C₂³×C₄×C₇₉	C₂³	semidirect
289. #127×C₇₉	C₂³	semidirect
290. #127×C₇₉	C₂³	semidirect
291. #124×C₇₉	C₂³	semidirect
292. #124×C₇₉	C₂³	semidirect
293. #121×C₇₉	C₂³	semidirect
294. #121×C₇₉	C₂³	semidirect
296. #120×C₇₉	C₂³	semidirect
299. #117×C₇₉	C₂³	semidirect
300. #117×C₇₉	C₂³	semidirect
301. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
303. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
304. C₂×C₄²×C₇₉	C₂³	semidirect
326. #11929624	C₂×D₄	semidirect
327. #11929624	C₂×D₄	semidirect
328. #11929624	C₂×D₄	semidirect
329. #11929624	C₂×D₄	semidirect
341. C₂×Dic₁₅₈	C₂×D₄	semidirect
354. C₂×D₃₁₆	C₂×D₄	semidirect
371. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
403. C₂×C₄×D₇₉	C₂×D₄	semidirect
462. C₂²×C₄×C₇₉	C₂×D₄	semidirect
647. C₂×#535	D₇₉	semidirect
649. C₇₉	#62852	semidirect
671. C₂²×#41	C₂×D₇₉	semidirect
675. C₂³×D₄	C₂×D₇₉	semidirect
709. #535	C₂×D₇₉	semidirect
710. #535	C₂×D₇₉	semidirect
711. #535	C₂×D₇₉	semidirect
712. #535	C₂×D₇₉	semidirect
722. C₂×#127	C₂×D₇₉	semidirect
725. C₂×#124	C₂×D₇₉	semidirect
734. C₂×#121	C₂×D₇₉	semidirect
737. C₂×#120	C₂×D₇₉	semidirect
747. C₂×#117	C₂×D₇₉	semidirect
798. C₂×#41	C₂²×D₇₉	semidirect
799. C₂×#41	C₂²×D₇₉	semidirect
806. C₂²×Q₈	C₂²×D₇₉	semidirect
840. C₂²×D₄	C₂²×D₇₉	semidirect
841. C₂²×D₄	C₂²×D₇₉	semidirect
848. C₂³×C₄	C₂²×D₇₉	semidirect
856. #127	C₂²×D₇₉	semidirect
857. #127	C₂²×D₇₉	semidirect
865. #124	C₂²×D₇₉	semidirect
866. #124	C₂²×D₇₉	semidirect
890. #121	C₂²×D₇₉	semidirect
891. #121	C₂²×D₇₉	semidirect
902. #120	C₂²×D₇₉	semidirect
922. #117	C₂²×D₇₉	semidirect
923. #117	C₂²×D₇₉	semidirect
926. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
932. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
935. C₂×C₄²	C₂²×D₇₉	semidirect
1077. C₂²×C₄	D₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099399	2
C₂²×#14579206	2
#23777192	2
#23777190	2
#23777176	2
#23777175	2
#23777067	2
#23777065	2
#23777056	2
#23777034	2
#23777029	2
#23776733	2
#23776731	2
#23776729	2
C₂×#19099130	2
#535×D₇₉	2
#23776601	2
C₂×#535×C₇₉	2
#62852	79