Subgroups — #35196886

Order 20224.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777556	C₂	1	8	yes	maximal, complemented
2	#23777551	C₂	1	8	yes	maximal, complemented
3	#23777549	C₂	1	8	yes	maximal, complemented
4	#23777090	C₂	1	2	yes	maximal, complemented
5	#23777089	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777085	C₂	1	2	yes	maximal, complemented
7	#23777084	C₂	1	8	yes	maximal, complemented
8	#23777083	C₂	1	4	yes	maximal, complemented
9	#23777036	C₂	1	2	yes	maximal, complemented
10	#23777033	C₂	1	4	yes	maximal, complemented
11	#23777032	C₂	1	2	yes	maximal, complemented
12	#23777030	C₂	1	8	yes	maximal, complemented
13	#23777029	C₂	1	2	yes	maximal, complemented
14	C₂²×#14579131	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#120×D₇₉	C₂	1	2	yes	maximal, complemented
16	C₇₉×#3490	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁵×D₇₉	C₂²	1	1	yes	characteristic, complemented
18	C₂×#14579207	C₂²	1	4	yes	complemented
19	C₂×#14579206	C₂²	1	2	yes	complemented
20	C₂³×D₃₁₆	C₂²	1	2	yes	complemented
21	C₂³×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
23	C₂²×D₄×D₇₉	C₂²	1	4	yes	complemented
24	#19099305	C₂²	1	8	yes	complemented
25	#19099304	C₂²	1	8	yes	complemented
26	#19099303	C₂²	1	8	yes	complemented
27	#19099301	C₂²	1	8	yes	complemented
28	#19099242	C₂²	1	8	yes	complemented
29	#19099240	C₂²	1	8	yes	complemented
30	#19099240	C₂²	1	8	yes	complemented
31	#19099239	C₂²	1	8	yes	complemented
32	#19099238	C₂²	1	8	yes	complemented
33	#19099237	C₂²	1	8	yes	complemented
34	#19099237	C₂²	1	8	yes	complemented
35	#19099236	C₂²	1	8	yes	complemented
36	#19099209	C₂²	1	8	yes	complemented
37	#19099209	C₂²	1	8	yes	complemented
38	#19099208	C₂²	1	8	yes	complemented
39	#19099208	C₂²	1	8	yes	complemented
40	#19099206	C₂²	1	8	yes	complemented
41	#19099205	C₂²	1	8	yes	complemented
42	#19099205	C₂²	1	8	yes	complemented
43	#19099205	C₂²	1	8	yes	complemented
44	#19099204	C₂²	1	8	yes	complemented
45	#19099204	C₂²	1	8	yes	complemented
46	#19099204	C₂²	1	8	yes	complemented
47	#19099203	C₂²	1	8	yes	complemented
48	#19099203	C₂²	1	8	yes	complemented
49	#19099203	C₂²	1	8	yes	complemented
50	#19099202	C₂²	1	8	yes	complemented
51	#19099201	C₂²	1	8	yes	complemented
52	#19099200	C₂²	1	8	yes	complemented
53	D₄×D₃₁₆	C₂²	1	8	yes	complemented
54	D₄×D₃₁₆	C₂²	1	8	yes	complemented
55	D₄×D₃₁₆	C₂²	1	8	yes	complemented
56	#19099197	C₂²	1	8	yes	complemented
57	#19099197	C₂²	1	8	yes	complemented
58	#19099197	C₂²	1	8	yes	complemented
59	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
60	#19099195	C₂²	1	8	yes	complemented
61	#19099195	C₂²	1	8	yes	complemented
62	#19099189	C₂²	1	1	yes	characteristic, complemented
63	#19099188	C₂²	1	4	yes	complemented
64	#19099153	C₂²	1	8	yes	complemented
65	#19099153	C₂²	1	4	yes	complemented
66	#19099152	C₂²	1	8	yes	complemented
67	#19099152	C₂²	1	8	yes	complemented
68	#19099151	C₂²	1	4	yes	complemented
69	#19099150	C₂²	1	4	yes	complemented
70	#19099149	C₂²	1	8	yes	complemented
71	#19099147	C₂²	1	8	yes	complemented
72	#19099146	C₂²	1	8	yes	complemented
73	#19099146	C₂²	1	8	yes	complemented
74	#19099132	C₂²	1	4	yes	complemented
75	#19099132	C₂²	1	4	yes	complemented
76	#19099131	C₂²	1	8	yes	complemented
77	#19099129	C₂²	1	8	yes	complemented
78	#19099128	C₂²	1	4	yes	complemented
79	#19099128	C₂²	1	4	yes	complemented
80	#19099127	C₂²	1	4	yes	complemented
81	#19099125	C₂²	1	2	yes	complemented
82	#19099125	C₂²	1	1	yes	characteristic, complemented
83	#19099125	C₂²	1	4	yes	complemented
84	#19099124	C₂²	1	8	yes	complemented
85	#19099124	C₂²	1	8	yes	complemented
86	#19099124	C₂²	1	4	yes	complemented
87	#19099124	C₂²	1	8	yes	complemented
88	#19099123	C₂²	1	4	yes	complemented
89	#19099122	C₂²	1	2	yes	complemented
90	#19099121	C₂²	1	4	yes	complemented
91	#19099121	C₂²	1	8	yes	complemented
92	#19099076	C₂²	1	8	yes	complemented
93	#19099075	C₂²	1	4	yes	complemented
94	#19099074	C₂²	1	4	yes	complemented
95	#19099072	C₂²	1	8	yes	complemented
96	#19099071	C₂²	1	4	yes	complemented
97	#19099069	C₂²	1	4	yes	complemented
98	C₂×#14579131	C₂²	1	2	yes	complemented
99	C₂×#14579131	C₂²	1	2	yes	complemented
100	C₂×#14579131	C₂²	1	2	yes	complemented
101	C₂×#14579131	C₂²	1	8	yes	complemented
102	C₂×#14579131	C₂²	1	8	yes	complemented
103	C₂×#14579131	C₂²	1	4	yes	complemented
104	C₂×#14579131	C₂²	1	4	yes	complemented
105	C₂×#14579131	C₂²	1	4	yes	complemented
106	C₂×#14579130	C₂²	1	2	yes	complemented
107	C₂×#14579129	C₂²	1	2	yes	complemented
108	C₂×#14579129	C₂²	1	4	yes	complemented
109	#120×D₇₉	C₂²	1	8	yes	complemented
110	#120×D₇₉	C₂²	1	8	yes	complemented
111	#120×D₇₉	C₂²	1	8	yes	complemented
112	#120×D₇₉	C₂²	1	8	yes	complemented
113	#120×D₇₉	C₂²	1	4	yes	complemented
114	#120×D₇₉	C₂²	1	4	yes	complemented
115	#19099037	C₂²	1	4	yes	complemented
116	#19099036	C₂²	1	2	yes	complemented
117	#19099036	C₂²	1	2	yes	complemented
118	#19099035	C₂²	1	8	yes	complemented
119	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄×D₇₉	C₂²	1	4	yes	complemented
122	#551×C₇₉	C₂²	1	8	yes	complemented
123	#546×C₇₉	C₂²	1	8	yes	complemented
124	#543×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#538×C₇₉	C₂²	1	4	yes	complemented
126	#534×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	#525×C₇₉	C₂²	1	4	yes	complemented
128	C₂×#120×C₇₉	C₂²	1	2	yes	complemented
129	#518×C₇₉	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂⁴×D₇₉	—	4	8	no	—
132	C₂⁴×D₇₉	—	4	4	no	—
133	C₂⁴×D₇₉	C₂³	1	4	yes	—
134	C₂⁴×D₇₉	C₂³	1	2	yes	—
135	C₂⁴×D₇₉	C₂³	1	2	yes	—
136	C₂⁴×D₇₉	C₂³	1	2	yes	—
137	C₂⁴×D₇₉	C₂³	1	4	yes	—
138	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic, complemented
139	C₂⁴×D₇₉	C₂³	1	2	yes	complemented
140	#14579207	—	4	16	no	—
141	#14579206	—	4	8	no	—
142	C₂×#11929625	C₂³	1	8	yes	complemented
143	C₂×#11929624	C₂³	1	8	yes	complemented
144	C₂×#11929624	C₂³	1	4	yes	complemented
145	C₂×#11929624	C₂³	1	4	yes	complemented
146	C₂×#11929623	C₂³	1	4	yes	complemented
147	C₂×#11929623	C₂³	1	4	yes	complemented
148	C₂²×D₃₁₆	—	4	8	no	—
149	C₂²×D₃₁₆	C₂³	1	4	yes	—
150	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
151	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
152	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
153	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
154	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
155	C₂²×D₃₁₆	C₂³	1	2	yes	complemented
156	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
157	C₂²×C₂²⋊D₇₉	—	4	4	no	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
161	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
162	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
163	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	complemented
164	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	complemented
165	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
166	C₂×D₄×D₇₉	—	4	16	no	—
167	C₂×D₄×D₇₉	—	4	8	no	—
168	C₂×D₄×D₇₉	C₂³	1	8	yes	—
169	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
170	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
171	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
172	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
173	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
174	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
175	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
176	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
177	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
178	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic, complemented
179	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
180	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
181	#14579158	C₂³	1	8	yes	complemented
182	#14579157	C₂³	1	8	yes	complemented
183	#14579157	C₂³	1	8	yes	complemented
184	#14579156	C₂³	1	8	yes	complemented
185	#14579156	C₂³	1	8	yes	complemented
186	#14579156	C₂³	1	8	yes	complemented
187	#14579155	C₂³	1	8	yes	complemented
188	#14579154	C₂³	1	8	yes	complemented
189	#14579150	C₂³	1	8	yes	complemented
190	#14579150	C₂³	1	8	yes	complemented
191	#14579149	C₂³	1	8	yes	complemented
192	#14579149	C₂³	1	8	yes	complemented
193	#14579147	C₂³	1	8	yes	complemented
194	#14579147	C₂³	1	8	yes	complemented
195	#14579147	C₂³	1	8	yes	complemented
196	#14579147	C₂³	1	8	yes	complemented
197	#14579146	C₂³	1	8	yes	complemented
198	#14579146	C₂³	1	8	yes	complemented
199	#14579146	C₂³	1	8	yes	complemented
200	#14579146	C₂³	1	8	yes	complemented
201	#14579146	C₂³	1	8	yes	complemented
202	#14579146	C₂³	1	8	yes	complemented
203	#14579146	C₂³	1	8	yes	complemented
204	#14579145	C₂³	1	8	yes	complemented
205	#14579145	C₂³	1	4	yes	complemented
206	#14579145	C₂³	1	4	yes	complemented
207	#14579145	C₂³	1	4	yes	complemented
208	#14579144	C₂³	1	8	yes	complemented
209	#14579144	C₂³	1	8	yes	complemented
210	#14579144	C₂³	1	4	yes	complemented
211	#14579143	C₂³	1	8	yes	complemented
212	#14579143	C₂³	1	8	yes	complemented
213	#14579143	C₂³	1	8	yes	complemented
214	#14579142	C₂³	1	4	yes	complemented
215	#14579141	C₂³	1	8	yes	complemented
216	#14579140	C₂³	1	4	yes	complemented
217	#14579140	C₂³	1	4	yes	complemented
218	#14579139	C₂³	1	8	yes	complemented
219	#14579139	C₂³	1	8	yes	complemented
220	#14579138	C₂³	1	8	yes	complemented
221	#14579138	C₂³	1	8	yes	complemented
222	#14579137	C₂³	1	8	yes	complemented
223	#14579136	C₂³	1	8	yes	complemented
224	#14579136	C₂³	1	8	yes	complemented
225	#14579136	C₂³	1	8	yes	complemented
226	#14579136	C₂³	1	8	yes	complemented
227	#14579136	C₂³	1	8	yes	complemented
228	#14579136	C₂³	1	8	yes	complemented
229	#14579136	C₂³	1	8	yes	complemented
230	#14579135	C₂³	1	8	yes	complemented
231	#14579135	C₂³	1	8	yes	complemented
232	#14579135	C₂³	1	8	yes	complemented
233	#14579135	C₂³	1	4	yes	complemented
234	#14579135	C₂³	1	8	yes	complemented
235	#14579135	C₂³	1	4	yes	complemented
236	#14579134	C₂³	1	8	yes	complemented
237	#14579134	C₂³	1	8	yes	complemented
238	#14579134	C₂³	1	8	yes	complemented
239	#14579134	C₂³	1	8	yes	complemented
240	#14579134	C₂³	1	8	yes	complemented
241	#14579134	C₂³	1	8	yes	complemented
242	#14579134	C₂³	1	8	yes	complemented
243	#14579134	C₂³	1	8	yes	complemented
244	#14579133	C₂³	1	8	yes	complemented
245	#14579133	C₂³	1	8	yes	complemented
246	#14579133	C₂³	1	8	yes	complemented
247	#14579133	C₂³	1	8	yes	complemented
248	#14579132	C₂³	1	8	yes	complemented
249	#14579131	C₂³	1	8	yes	—
250	#14579131	C₂³	1	8	yes	—
251	#14579131	C₂³	1	8	yes	—
252	#14579131	C₂³	1	8	yes	—
253	#14579131	C₂³	1	8	yes	—
254	#14579131	C₂³	1	4	yes	complemented
255	#14579131	C₂³	1	8	yes	complemented
256	#14579131	C₂³	1	8	yes	complemented
257	#14579131	C₂³	1	8	yes	complemented
258	#14579131	C₂³	1	8	yes	complemented
259	#14579131	C₂³	1	4	yes	complemented
260	#14579131	C₂³	1	4	yes	complemented
261	#14579131	C₂³	1	8	yes	complemented
262	#14579131	C₂³	1	8	yes	complemented
263	#14579131	C₂³	1	4	yes	complemented
264	#14579131	C₂³	1	4	yes	complemented
265	#14579131	C₂³	1	4	yes	complemented
266	#14579131	C₂³	1	8	yes	complemented
267	#14579131	C₂³	1	8	yes	complemented
268	#14579131	C₂³	1	8	yes	complemented
269	#14579131	C₂³	1	8	yes	complemented
270	#14579131	C₂³	1	8	yes	complemented
271	#14579131	C₂³	1	4	yes	complemented
272	#14579131	C₂³	1	8	yes	complemented
273	#14579131	C₂³	1	4	yes	complemented
274	#14579131	C₂³	1	4	yes	complemented
275	#14579130	C₂³	1	8	yes	—
276	#14579130	C₂³	1	4	yes	complemented
277	#14579130	C₂³	1	4	yes	complemented
278	#14579130	C₂³	1	4	yes	complemented
279	#14579129	C₂³	1	8	yes	—
280	#14579129	C₂³	1	8	yes	—
281	#14579129	C₂³	1	4	yes	complemented
282	#14579129	C₂³	1	8	yes	complemented
283	#14579129	C₂³	1	8	yes	complemented
284	#14579129	C₂³	1	8	yes	complemented
285	#14579129	C₂³	1	4	yes	complemented
286	#14579129	C₂³	1	8	yes	complemented
287	#14579129	C₂³	1	8	yes	complemented
288	#14579129	C₂³	1	4	yes	complemented
289	#14579129	C₂³	1	8	yes	complemented
290	C₄×D₃₁₆	C₂³	1	8	yes	complemented
291	C₄×D₃₁₆	C₂³	1	8	yes	complemented
292	C₄×D₃₁₆	C₂³	1	8	yes	complemented
293	D₄×Dic₇₉	C₂³	1	8	yes	complemented
294	#14579123	C₂³	1	8	yes	complemented
295	#14579123	C₂³	1	8	yes	complemented
296	#14579123	C₂³	1	8	yes	complemented
297	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
298	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
299	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
300	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
301	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
302	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
303	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
304	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
305	#14579120	C₂³	1	4	yes	complemented
306	#14579119	C₂³	1	8	yes	complemented
307	#14579118	C₂³	1	8	yes	complemented
308	#14579117	C₂³	1	4	yes	complemented
309	#14579117	C₂³	1	4	yes	complemented
310	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
311	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	complemented
312	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
313	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
314	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
315	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
316	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
317	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
318	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
319	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
320	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
321	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
322	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
323	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
324	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
325	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
326	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
327	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
328	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
329	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	complemented
330	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	complemented
331	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
332	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
333	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
334	C₂²×D₄×C₇₉	C₂³	1	4	yes	complemented
335	C₂³×C₄×C₇₉	C₂³	1	2	yes	complemented
336	#126×C₇₉	C₂³	1	8	yes	complemented
337	#124×C₇₉	C₂³	1	8	yes	complemented
338	#123×C₇₉	C₂³	1	8	yes	complemented
339	#123×C₇₉	C₂³	1	4	yes	complemented
340	#123×C₇₉	C₂³	1	8	yes	complemented
341	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
342	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
343	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
344	#121×C₇₉	C₂³	1	8	yes	complemented
345	#121×C₇₉	C₂³	1	4	yes	complemented
346	#121×C₇₉	C₂³	1	4	yes	complemented
347	#120×C₇₉	C₂³	1	8	yes	—
348	#120×C₇₉	C₂³	1	4	yes	complemented
349	#120×C₇₉	C₂³	1	4	yes	complemented
350	#120×C₇₉	C₂³	1	4	yes	complemented
351	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
352	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
353	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
354	#117×C₇₉	C₂³	1	4	yes	complemented
355	#117×C₇₉	C₂³	1	4	yes	complemented
356	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
359	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	complemented
360	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
361	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
362	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
363	C₂³×D₇₉	—	2	8	no	—
364	C₂³×D₇₉	—	2	16	no	—
365	C₂³×D₇₉	—	2	8	no	—
366	C₂³×D₇₉	—	4	8	no	—
367	C₂³×D₇₉	—	4	8	no	—
368	C₂³×D₇₉	—	4	8	no	—
369	C₂³×D₇₉	—	4	8	no	—
370	C₂³×D₇₉	—	4	8	no	—
371	C₂³×D₇₉	—	4	8	no	—
372	C₂³×D₇₉	—	4	4	no	—
373	C₂³×D₇₉	—	4	4	no	—
374	C₂³×D₇₉	—	4	4	no	—
375	C₂³×D₇₉	—	4	8	no	—
376	C₂³×D₇₉	—	4	8	no	—
377	C₂³×D₇₉	—	4	4	no	—
378	C₂³×D₇₉	—	4	2	no	—
379	C₂³×D₇₉	—	4	4	no	—
380	C₂³×D₇₉	—	4	64	no	—
381	C₂³×D₇₉	C₂⁴	1	2	yes	—
382	C₂³×D₇₉	C₂⁴	1	2	yes	—
383	C₂³×D₇₉	C₂⁴	1	4	yes	—
384	C₂³×D₇₉	C₂⁴	1	4	yes	—
385	C₂³×D₇₉	C₂⁴	1	4	yes	—
386	C₂³×D₇₉	C₂⁴	1	4	yes	—
387	C₂³×D₇₉	C₂⁴	1	2	yes	—
388	C₂³×D₇₉	C₂⁴	1	2	yes	—
389	C₂³×D₇₉	C₂⁴	1	2	yes	—
390	C₂³×D₇₉	C₂⁴	1	4	yes	—
391	C₂³×D₇₉	C₂⁴	1	2	yes	—
392	C₂³×D₇₉	C₂⁴	1	8	yes	—
393	C₂³×D₇₉	C₂⁴	1	2	yes	—
394	C₂³×D₇₉	C₂⁴	1	2	yes	—
395	C₂³×D₇₉	C₂⁴	1	4	yes	complemented
396	#11929625	—	4	16	no	—
397	#11929624	—	4	8	no	—
398	#11929624	—	4	8	no	—
399	#11929624	—	4	16	no	—
400	#11929623	—	4	8	no	—
401	#11929623	—	4	8	no	—
402	C₂×Dic₁₅₈	C₂⁴	1	4	yes	complemented
403	C₂×Dic₁₅₈	C₂⁴	1	4	yes	complemented
404	C₂×D₃₁₆	—	2	16	no	—
405	C₂×D₃₁₆	—	4	4	no	—
406	C₂×D₃₁₆	—	4	8	no	—
407	C₂×D₃₁₆	—	4	16	no	—
408	C₂×D₃₁₆	—	4	8	no	—
409	C₂×D₃₁₆	—	4	8	no	—
410	C₂×D₃₁₆	—	4	16	no	—
411	C₂×D₃₁₆	—	4	8	no	—
412	C₂×D₃₁₆	C₂⁴	1	8	yes	—
413	C₂×D₃₁₆	C₂⁴	1	8	yes	—
414	C₂×D₃₁₆	C₂⁴	1	8	yes	—
415	C₂×D₃₁₆	C₂⁴	1	8	yes	—
416	C₂×D₃₁₆	C₂⁴	1	8	yes	—
417	C₂×D₃₁₆	C₂⁴	1	8	yes	—
418	C₂×D₃₁₆	C₂⁴	1	8	yes	—
419	C₂×D₃₁₆	C₂⁴	1	4	yes	complemented
420	C₂×D₃₁₆	C₂⁴	1	4	yes	complemented
421	C₂×D₃₁₆	C₂⁴	1	8	yes	complemented
422	C₂×C₂²⋊D₇₉	—	2	8	no	—
423	C₂×C₂²⋊D₇₉	—	2	8	no	—
424	C₂×C₂²⋊D₇₉	—	4	8	no	—
425	C₂×C₂²⋊D₇₉	—	4	8	no	—
426	C₂×C₂²⋊D₇₉	—	4	8	no	—
427	C₂×C₂²⋊D₇₉	—	4	16	no	—
428	C₂×C₂²⋊D₇₉	—	4	4	no	—
429	C₂×C₂²⋊D₇₉	—	4	4	no	—
430	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
431	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
432	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
433	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
434	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
436	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
438	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	complemented
441	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	complemented
442	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	complemented
443	D₄×D₇₉	—	2	32	no	—
444	D₄×D₇₉	—	4	8	no	—
445	D₄×D₇₉	—	4	8	no	—
446	D₄×D₇₉	—	4	16	no	—
447	D₄×D₇₉	—	4	16	no	—
448	D₄×D₇₉	—	4	16	no	—
449	D₄×D₇₉	—	4	16	no	—
450	D₄×D₇₉	—	4	16	no	—
451	D₄×D₇₉	—	4	16	no	—
452	D₄×D₇₉	—	4	16	no	—
453	C₂²×Dic₇₉	—	4	2	no	—
454	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
455	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
456	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
457	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
458	C₂²×Dic₇₉	C₂⁴	1	4	yes	complemented
459	C₂×C₄×D₇₉	—	4	4	no	—
460	C₂×C₄×D₇₉	—	4	8	no	—
461	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
462	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
463	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
464	C₂×C₄×D₇₉	C₂⁴	1	4	yes	complemented
465	C₂×C₄×D₇₉	C₂⁴	1	4	yes	complemented
466	C₂×C₄×D₇₉	C₂⁴	1	8	yes	complemented
467	C₂×C₄×D₇₉	C₂⁴	1	8	yes	complemented
468	C₄⋊Dic₇₉	C₂⁴	1	8	yes	complemented
469	C₄⋊Dic₇₉	C₂⁴	1	4	yes	complemented
470	C₄⋊Dic₇₉	C₂⁴	1	4	yes	complemented
471	Dic₇₉⋊C₄	C₂⁴	1	8	yes	complemented
472	Dic₇₉⋊C₄	C₂⁴	1	8	yes	complemented
473	Dic₇₉⋊C₄	C₂⁴	1	8	yes	complemented
474	Dic₇₉⋊C₄	C₂⁴	1	8	yes	complemented
475	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
477	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
478	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	complemented
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
485	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
486	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
489	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
490	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
491	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
492	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
493	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
494	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
495	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	complemented
496	C₄×Dic₇₉	C₂⁴	1	8	yes	complemented
497	C₄×Dic₇₉	C₂⁴	1	8	yes	complemented
498	C₂⁴×C₇₉	—	2	4	no	—
499	C₂⁴×C₇₉	—	4	4	no	—
500	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
501	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
502	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
503	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
504	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
505	#41×C₇₉	—	4	8	no	—
506	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	complemented
507	C₂×D₄×C₇₉	—	2	8	no	—
508	C₂×D₄×C₇₉	—	4	8	no	—
509	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
510	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
512	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
513	C₂×D₄×C₇₉	C₂⁴	1	4	yes	complemented
514	C₂²×C₄×C₇₉	—	4	4	no	—
515	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
516	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
517	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
520	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
521	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	complemented
522	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	complemented
523	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	complemented
524	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	complemented
525	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	complemented
526	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
527	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
528	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
529	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
530	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
531	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
532	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
533	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	complemented
534	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	complemented
535	C₄²×C₇₉	C₂⁴	1	8	yes	complemented
536	C₂³×C₇₉	—	2	2	no	—
537	C₂³×C₇₉	—	2	4	no	—
538	C₂³×C₇₉	—	2	8	no	—
539	C₂³×C₇₉	—	2	2	no	—
540	C₂³×C₇₉	—	2	8	no	—
541	C₂³×C₇₉	—	2	4	no	—
542	C₂³×C₇₉	—	4	2	no	—
543	C₂³×C₇₉	—	4	4	no	—
544	C₂³×C₇₉	—	4	2	no	—
545	C₂³×C₇₉	—	4	4	no	—
546	C₂³×C₇₉	—	4	16	no	—
547	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	complemented
548	C₂³×C₇₉	C₂⁵	1	2	yes	—
549	C₂³×C₇₉	C₂⁵	1	4	yes	—
550	C₂³×C₇₉	C₂⁵	1	2	yes	—
551	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
552	C₂³×C₇₉	C₂⁵	1	2	yes	—
553	C₂²×D₇₉	—	2	4	no	—
554	C₂²×D₇₉	—	2	8	no	—
555	C₂²×D₇₉	—	2	8	no	—
556	C₂²×D₇₉	—	2	8	no	—
557	C₂²×D₇₉	—	2	8	no	—
558	C₂²×D₇₉	—	2	4	no	—
559	C₂²×D₇₉	—	2	4	no	—
560	C₂²×D₇₉	—	2	4	no	—
561	C₂²×D₇₉	—	2	4	no	—
562	C₂²×D₇₉	—	2	8	no	—
563	C₂²×D₇₉	—	2	8	no	—
564	C₂²×D₇₉	—	2	8	no	—
565	C₂²×D₇₉	—	2	8	no	—
566	C₂²×D₇₉	—	2	8	no	—
567	C₂²×D₇₉	—	2	8	no	—
568	C₂²×D₇₉	—	2	16	no	—
569	C₂²×D₇₉	—	4	2	no	—
570	C₂²×D₇₉	—	4	2	no	—
571	C₂²×D₇₉	—	4	2	no	—
572	C₂²×D₇₉	—	4	4	no	—
573	C₂²×D₇₉	—	4	4	no	—
574	C₂²×D₇₉	—	4	4	no	—
575	C₂²×D₇₉	—	4	4	no	—
576	C₂²×D₇₉	—	4	4	no	—
577	C₂²×D₇₉	—	4	2	no	—
578	C₂²×D₇₉	—	4	2	no	—
579	C₂²×D₇₉	—	4	2	no	—
580	C₂²×D₇₉	—	4	4	no	—
581	C₂²×D₇₉	—	4	4	no	—
582	C₂²×D₇₉	—	4	8	no	—
583	C₂²×D₇₉	—	4	8	no	—
584	C₂²×D₇₉	—	4	4	no	—
585	C₂²×D₇₉	—	4	4	no	—
586	C₂²×D₇₉	—	4	4	no	—
587	C₂²×D₇₉	—	4	4	no	—
588	C₂²×D₇₉	—	4	4	no	—
589	C₂²×D₇₉	—	4	8	no	—
590	C₂²×D₇₉	—	4	64	no	—
591	C₂²×D₇₉	—	4	32	no	—
592	C₂²×D₇₉	—	4	32	no	—
593	C₂²×D₇₉	—	4	32	no	—
594	C₂²×D₇₉	—	4	64	no	—
595	C₂²×D₇₉	—	8	16	no	—
596	C₂²×D₇₉	—	8	8	no	—
597	C₂²×D₇₉	H(5,𝔽₂)	1	8	yes	complemented
598	C₂²×D₇₉	C₂⁵	1	4	yes	—
599	C₂²×D₇₉	C₂⁵	1	4	yes	—
600	C₂²×D₇₉	C₂⁵	1	4	yes	—
601	C₂²×D₇₉	C₂⁵	1	4	yes	—
602	Q₈×C₇₉	—	4	4	no	—
603	D₄×C₇₉	—	2	16	no	—
604	D₄×C₇₉	—	2	8	no	—
605	D₄×C₇₉	—	2	8	no	—
606	D₄×C₇₉	—	4	8	no	—
607	D₄×C₇₉	—	4	4	no	—
608	C₂×C₄×C₇₉	—	2	4	no	—
609	C₂×C₄×C₇₉	—	2	8	no	—
610	C₂×C₄×C₇₉	—	4	4	no	—
611	C₂×C₄×C₇₉	—	4	2	no	—
612	C₂×C₄×C₇₉	—	4	4	no	—
613	C₂×C₄×C₇₉	—	4	2	no	—
614	C₂×C₄×C₇₉	—	4	8	no	—
615	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
616	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
617	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
618	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
619	C₂²⋊D₇₉	—	2	16	no	—
620	C₂²⋊D₇₉	—	2	8	no	—
621	C₂²⋊D₇₉	—	2	8	no	—
622	C₂²⋊D₇₉	—	2	8	no	—
623	C₂²⋊D₇₉	—	2	8	no	—
624	C₂²⋊D₇₉	—	2	16	no	—
625	C₂²⋊D₇₉	—	4	8	no	—
626	C₂²⋊D₇₉	—	4	8	no	—
627	C₂²⋊D₇₉	—	4	8	no	—
628	C₂²⋊D₇₉	—	4	8	no	—
629	C₂²⋊D₇₉	—	4	4	no	—
630	C₂²⋊D₇₉	—	4	4	no	—
631	C₂²⋊D₇₉	—	4	8	no	—
632	C₂×Dic₇₉	—	2	4	no	—
633	C₂×Dic₇₉	—	2	4	no	—
634	C₂×Dic₇₉	—	4	4	no	—
635	C₂×Dic₇₉	—	4	4	no	—
636	C₂×Dic₇₉	—	4	4	no	—
637	C₂×Dic₇₉	C₂⁵	1	4	yes	—
638	C₂×Dic₇₉	C₂⁵	1	4	yes	—
639	C₂×Dic₇₉	C₂⁵	1	8	yes	—
640	D₃₁₆	—	2	16	no	—
641	D₃₁₆	—	2	16	no	—
642	D₃₁₆	—	2	16	no	—
643	D₃₁₆	—	4	8	no	—
644	D₃₁₆	—	4	8	no	—
645	D₃₁₆	—	4	4	no	—
646	D₃₁₆	—	4	8	no	—
647	D₃₁₆	—	4	8	no	—
648	D₃₁₆	—	4	8	no	—
649	D₃₁₆	—	4	4	no	—
650	C₄×D₇₉	—	2	16	no	—
651	C₄×D₇₉	—	4	8	no	—
652	C₄×D₇₉	—	4	8	no	—
653	C₄×D₇₉	—	4	4	no	—
654	C₄×D₇₉	—	4	4	no	—
655	C₄×D₇₉	—	4	8	no	—
656	C₄×D₇₉	—	4	8	no	—
657	Dic₁₅₈	—	4	4	no	—
658	Dic₁₅₈	—	4	4	no	—
659	C₂²×C₇₉	—	2	8	no	—
660	C₂²×C₇₉	—	2	2	no	—
661	C₂²×C₇₉	—	2	2	no	—
662	C₂²×C₇₉	—	2	4	no	—
663	C₂²×C₇₉	—	2	2	no	—
664	C₂²×C₇₉	—	2	8	no	—
665	C₂²×C₇₉	—	2	4	no	—
666	C₂²×C₇₉	—	2	2	no	—
667	C₂²×C₇₉	—	2	4	no	—
668	C₂²×C₇₉	—	4	4	no	—
669	C₂²×C₇₉	—	4	16	no	—
670	C₂²×C₇₉	—	4	4	no	—
671	C₂²×C₇₉	—	8	4	no	—
672	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
673	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
674	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
675	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
676	C₂×D₇₉	—	2	16	no	—
677	C₂×D₇₉	—	2	4	no	—
678	C₂×D₇₉	—	2	4	no	—
679	C₂×D₇₉	—	2	4	no	—
680	C₂×D₇₉	—	2	4	no	—
681	C₂×D₇₉	—	2	8	no	—
682	C₂×D₇₉	—	2	4	no	—
683	C₂×D₇₉	—	2	4	no	—
684	C₂×D₇₉	—	2	8	no	—
685	C₂×D₇₉	—	2	4	no	—
686	C₂×D₇₉	—	4	8	no	—
687	C₂×D₇₉	—	4	8	no	—
688	C₂×D₇₉	—	4	16	no	—
689	C₂×D₇₉	—	4	16	no	—
690	C₂×D₇₉	—	4	16	no	—
691	C₂×D₇₉	—	4	16	no	—
692	C₂×D₇₉	—	4	8	no	—
693	C₂×D₇₉	—	4	8	no	—
694	C₂×D₇₉	—	4	8	no	—
695	C₂×D₇₉	—	8	16	no	—
696	C₂×D₇₉	—	8	4	no	—
697	C₂×D₇₉	—	8	4	no	—
698	C₂×D₇₉	—	8	8	no	—
699	C₂×D₇₉	—	16	4	no	—
700	C₂×D₇₉	C₂×H(5,𝔽₂)	1	8	yes	—
701	C₄×C₇₉	—	2	4	no	—
702	C₄×C₇₉	—	2	4	no	—
703	C₄×C₇₉	—	2	4	no	—
704	C₄×C₇₉	—	2	8	no	—
705	Dic₇₉	—	2	8	no	—
706	Dic₇₉	—	2	4	no	—
707	Dic₇₉	—	2	4	no	—
708	#62817	—	79	1	no	maximal, Sylow
709	C₂×C₇₉	—	2	4	no	—
710	C₂×C₇₉	—	2	4	no	—
711	C₂×C₇₉	—	2	2	no	—
712	C₂×C₇₉	—	4	2	no	—
713	C₂×C₇₉	—	4	4	no	—
714	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	2	yes	—
715	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
716	D₇₉	—	2	8	no	—
717	D₇₉	—	4	4	no	—
718	D₇₉	—	4	4	no	—
719	D₇₉	—	4	4	no	—
720	#3532	—	79	8	no	—
721	#3532	—	79	8	no	—
722	#3532	—	79	8	no	—
723	#3490	—	79	8	no	—
724	#3490	—	79	2	no	—
725	#3490	—	79	4	no	—
726	#3490	—	79	2	no	—
727	#3490	—	79	1	no	—
728	#3490	D₇₉	1	1	yes	characteristic, complemented
729	#3484	—	79	8	no	—
730	#3484	—	79	2	no	—
731	#3484	—	79	4	no	—
732	#3484	—	79	2	no	—
733	#3484	—	79	2	no	—
734	C₂²×#120	—	79	2	no	—
735	C₂²×#120	—	79	1	no	—
736	C₇₉	#62817	1	1	yes	characteristic, complemented, Sylow
737	C₂⁶	—	79	1	no	—
738	C₂×H(5,𝔽₂)	—	79	4	no	—
739	C₂×H(5,𝔽₂)	—	79	2	no	—
740	C₂³×D₄	—	79	1	no	—
741	C₂³×D₄	—	79	2	no	—
742	C₂³×D₄	—	79	4	no	—
743	C₂³×D₄	—	79	2	no	—
744	H(3,𝔽₄)	—	79	8	no	—
745	#560	—	79	8	no	—
746	#560	—	79	8	no	—
747	#560	—	79	8	no	—
748	#551	—	79	8	no	—
749	#551	—	79	8	no	—
750	#551	—	79	8	no	—
751	#551	—	79	8	no	—
752	#551	—	79	8	no	—
753	#551	—	79	8	no	—
754	#551	—	79	8	no	—
755	#551	—	79	8	no	—
756	#551	C₂×D₇₉	1	8	yes	complemented
757	#546	—	79	8	no	—
758	#546	—	79	8	no	—
759	#546	—	79	8	no	—
760	#546	—	79	8	no	—
761	#546	—	79	8	no	—
762	#546	—	79	8	no	—
763	#546	—	79	8	no	—
764	#546	—	79	8	no	—
765	#546	—	79	8	no	—
766	#546	—	79	8	no	—
767	#546	—	79	8	no	—
768	#546	—	79	8	no	—
769	#546	—	79	8	no	—
770	#546	—	79	8	no	—
771	#546	—	79	8	no	—
772	#546	—	79	8	no	—
773	#546	—	79	8	no	—
774	#546	C₂×D₇₉	1	8	yes	complemented
775	D₄²	—	79	8	no	—
776	D₄²	—	79	8	no	—
777	D₄²	—	79	8	no	—
778	D₄²	—	79	8	no	—
779	D₄²	—	79	8	no	—
780	D₄²	—	79	8	no	—
781	D₄²	—	79	8	no	—
782	D₄²	—	79	8	no	—
783	D₄²	—	79	8	no	—
784	#543	—	79	4	no	—
785	#543	—	79	1	no	—
786	#543	C₂×D₇₉	1	1	yes	characteristic, complemented
787	#538	—	79	8	no	—
788	#538	—	79	8	no	—
789	#538	—	79	8	no	—
790	#538	—	79	8	no	—
791	#538	—	79	8	no	—
792	#538	—	79	4	no	—
793	#538	—	79	4	no	—
794	#538	—	79	8	no	—
795	#538	—	79	8	no	—
796	#538	—	79	4	no	—
797	#538	C₂×D₇₉	1	4	yes	complemented
798	#535	—	79	4	no	—
799	#535	—	79	8	no	—
800	#535	—	79	8	no	—
801	#535	—	79	4	no	—
802	#535	—	79	4	no	—
803	#535	—	79	4	no	—
804	#535	—	79	4	no	—
805	#534	—	79	2	no	—
806	#534	—	79	8	no	—
807	#534	—	79	4	no	—
808	#534	—	79	8	no	—
809	#534	—	79	8	no	—
810	#534	—	79	4	no	—
811	#534	—	79	8	no	—
812	#534	—	79	4	no	—
813	#534	—	79	2	no	—
814	#534	—	79	1	no	—
815	#534	—	79	4	no	—
816	#534	C₂×D₇₉	1	1	yes	characteristic, complemented
817	#525	—	79	4	no	—
818	#525	—	79	4	no	—
819	#525	—	79	8	no	—
820	#525	—	79	4	no	—
821	#525	—	79	8	no	—
822	#525	—	79	4	no	—
823	#525	C₂×D₇₉	1	4	yes	complemented
824	C₂×#120	—	79	2	no	—
825	C₂×#120	—	79	2	no	—
826	C₂×#120	—	79	4	no	—
827	C₂×#120	—	79	8	no	—
828	C₂×#120	—	79	8	no	—
829	C₂×#120	—	79	8	no	—
830	C₂×#120	—	79	8	no	—
831	C₂×#120	—	79	4	no	—
832	C₂×#120	—	79	4	no	—
833	C₂×#120	—	79	2	no	—
834	C₂×#120	—	79	2	no	—
835	C₂×#120	—	79	2	no	—
836	C₂×#120	—	79	8	no	—
837	C₂×#120	—	79	4	no	—
838	C₂×#120	—	79	8	no	—
839	C₂×#120	—	79	4	no	—
840	C₂×#120	—	79	4	no	—
841	C₂×#120	C₂×D₇₉	1	2	yes	complemented
842	#518	—	79	8	no	—
843	#518	—	79	4	no	—
844	#518	—	79	2	no	—
845	#518	—	79	2	no	—
846	#518	C₂×D₇₉	1	2	yes	complemented
847	C₂²×C₂²⋊C₄	—	79	2	no	—
848	C₂²×C₂²⋊C₄	—	79	2	no	—
849	C₂²×C₂²⋊C₄	—	79	4	no	—
850	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
851	C₂⁵	—	316	4	no	—
852	C₂⁵	—	316	8	no	—
853	C₂⁵	—	79	4	no	—
854	C₂⁵	—	79	2	no	—
855	C₂⁵	—	79	1	no	—
856	C₂⁵	—	79	2	no	—
857	C₂⁵	—	79	2	no	—
858	C₂⁵	—	79	4	no	—
859	C₂⁵	—	79	2	no	—
860	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
861	H(5,𝔽₂)	—	316	8	no	—
862	H(5,𝔽₂)	—	316	16	no	—
863	C₂×#41	—	79	8	no	—
864	C₂×#41	—	79	4	no	—
865	C₂×#41	—	79	4	no	—
866	C₂×#41	—	79	4	no	—
867	C₂×#41	—	79	4	no	—
868	C₂×#41	—	79	8	no	—
869	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
870	C₂²×D₄	—	316	8	no	—
871	C₂²×D₄	—	316	8	no	—
872	C₂²×D₄	—	316	16	no	—
873	C₂²×D₄	—	316	4	no	—
874	C₂²×D₄	—	79	2	no	—
875	C₂²×D₄	—	79	2	no	—
876	C₂²×D₄	—	79	4	no	—
877	C₂²×D₄	—	79	8	no	—
878	C₂²×D₄	—	79	4	no	—
879	C₂²×D₄	—	79	4	no	—
880	C₂²×D₄	—	79	8	no	—
881	C₂²×D₄	—	79	8	no	—
882	C₂²×D₄	—	79	8	no	—
883	C₂²×D₄	—	79	8	no	—
884	C₂²×D₄	—	79	8	no	—
885	C₂²×D₄	—	79	8	no	—
886	C₂²×D₄	—	79	4	no	—
887	C₂²×D₄	—	79	4	no	—
888	C₂²×D₄	—	79	8	no	—
889	C₂²×D₄	—	79	2	no	—
890	C₂²×D₄	—	79	2	no	—
891	C₂²×D₄	—	79	8	no	—
892	C₂²×D₄	—	79	4	no	—
893	C₂²×D₄	—	79	2	no	—
894	C₂²×D₄	—	79	4	no	—
895	C₂²×D₄	—	79	4	no	—
896	C₂²×D₄	—	79	4	no	—
897	C₂²×D₄	—	79	8	no	—
898	C₂²×D₄	—	79	4	no	—
899	C₂²×D₄	—	79	8	no	—
900	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
901	C₂²×D₄	C₂²×D₇₉	1	4	yes	complemented
902	C₂³×C₄	—	79	1	no	—
903	C₂³×C₄	—	79	2	no	—
904	C₂³×C₄	—	79	4	no	—
905	C₂³×C₄	C₂²×D₇₉	1	2	yes	complemented
906	#127	—	79	8	no	—
907	#127	—	79	8	no	—
908	#127	—	79	8	no	—
909	#126	—	79	8	no	—
910	#126	—	79	8	no	—
911	#126	—	79	8	no	—
912	#126	—	79	8	no	—
913	#126	—	79	8	no	—
914	#126	C₂²×D₇₉	1	8	yes	complemented
915	#124	—	79	8	no	—
916	#124	—	79	8	no	—
917	#124	—	79	8	no	—
918	#124	—	79	8	no	—
919	#124	—	79	8	no	—
920	#124	—	79	8	no	—
921	#124	—	79	8	no	—
922	#124	—	79	8	no	—
923	#124	C₂²×D₇₉	1	8	yes	complemented
924	#123	—	79	4	no	—
925	#123	—	79	8	no	—
926	#123	—	79	4	no	—
927	#123	—	79	8	no	—
928	#123	—	79	8	no	—
929	#123	—	79	8	no	—
930	#123	—	79	8	no	—
931	#123	—	79	8	no	—
932	#123	—	79	8	no	—
933	#123	—	79	8	no	—
934	#123	—	79	8	no	—
935	#123	—	79	4	no	—
936	#123	—	79	4	no	—
937	#123	—	79	4	no	—
938	#123	—	79	8	no	—
939	#123	—	79	8	no	—
940	#123	—	79	8	no	—
941	#123	—	79	8	no	—
942	#123	C₂²×D₇₉	1	8	yes	complemented
943	#123	C₂²×D₇₉	1	4	yes	complemented
944	#123	C₂²×D₇₉	1	8	yes	complemented
945	C₂²⋊Q₈	—	79	8	no	—
946	C₂²⋊Q₈	—	79	4	no	—
947	C₂²⋊Q₈	—	79	4	no	—
948	C₂²⋊Q₈	—	79	8	no	—
949	C₂²⋊Q₈	—	79	8	no	—
950	C₂²⋊Q₈	—	79	8	no	—
951	C₂²⋊Q₈	—	79	8	no	—
952	C₂²⋊Q₈	—	79	8	no	—
953	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
954	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
955	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
956	#121	—	79	8	no	—
957	#121	—	79	8	no	—
958	#121	—	79	8	no	—
959	#121	—	79	8	no	—
960	#121	—	79	8	no	—
961	#121	—	79	8	no	—
962	#121	—	79	4	no	—
963	#121	—	79	4	no	—
964	#121	—	79	8	no	—
965	#121	—	79	8	no	—
966	#121	—	79	8	no	—
967	#121	—	79	8	no	—
968	#121	—	79	8	no	—
969	#121	—	79	8	no	—
970	#121	—	79	8	no	—
971	#121	—	79	8	no	—
972	#121	—	79	8	no	—
973	#121	—	79	8	no	—
974	#121	—	79	8	no	—
975	#121	—	79	8	no	—
976	#121	—	79	8	no	—
977	#121	—	79	8	no	—
978	#121	—	79	8	no	—
979	#121	—	79	8	no	—
980	#121	—	79	8	no	—
981	#121	—	79	8	no	—
982	#121	C₂²×D₇₉	1	8	yes	complemented
983	#121	C₂²×D₇₉	1	4	yes	complemented
984	#121	C₂²×D₇₉	1	4	yes	complemented
985	#120	—	79	4	no	—
986	#120	—	79	4	no	—
987	#120	—	79	8	no	—
988	#120	—	79	4	no	—
989	#120	—	79	4	no	—
990	#120	—	79	8	no	—
991	#120	—	79	4	no	—
992	#120	—	79	8	no	—
993	#120	—	79	8	no	—
994	#120	—	79	8	no	—
995	#120	—	79	8	no	—
996	#120	—	79	8	no	—
997	#120	—	79	4	no	—
998	#120	—	79	8	no	—
999	#120	—	79	8	no	—
1000	#120	—	79	4	no	—
1001	#120	—	79	4	no	—
1002	#120	—	79	4	no	—
1003	#120	—	79	8	no	—
1004	#120	—	79	8	no	—
1005	#120	—	79	8	no	—
1006	#120	—	79	8	no	—
1007	#120	—	79	4	no	—
1008	#120	—	79	4	no	—
1009	#120	—	79	4	no	—
1010	#120	—	79	8	no	—
1011	#120	—	79	8	no	—
1012	#120	—	79	8	no	—
1013	#120	—	79	8	no	—
1014	#120	—	79	8	no	—
1015	#120	—	79	8	no	—
1016	#120	—	79	8	no	—
1017	#120	—	79	4	no	—
1018	#120	—	79	8	no	—
1019	#120	—	79	4	no	—
1020	#120	—	79	4	no	—
1021	#120	—	79	8	no	—
1022	#120	—	79	8	no	—
1023	#120	—	79	8	no	—
1024	#120	—	79	8	no	—
1025	#120	—	79	8	no	—
1026	#120	C₂²×D₇₉	1	8	yes	—
1027	#120	C₂²×D₇₉	1	4	yes	complemented
1028	#120	C₂²×D₇₉	1	4	yes	complemented
1029	#120	C₂²×D₇₉	1	4	yes	complemented
1030	C₄×D₄	—	79	8	no	—
1031	C₄×D₄	—	79	8	no	—
1032	C₄×D₄	—	79	8	no	—
1033	C₄×D₄	—	79	8	no	—
1034	C₄×D₄	—	79	8	no	—
1035	C₄×D₄	—	79	8	no	—
1036	C₄×D₄	—	79	8	no	—
1037	C₄×D₄	—	79	8	no	—
1038	C₄×D₄	—	79	8	no	—
1039	C₄×D₄	—	79	8	no	—
1040	C₄×D₄	—	79	8	no	—
1041	C₄×D₄	—	79	8	no	—
1042	C₄×D₄	—	79	8	no	—
1043	C₄×D₄	—	79	8	no	—
1044	C₄×D₄	—	79	8	no	—
1045	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1046	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1047	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1048	#117	—	79	4	no	—
1049	#117	—	79	8	no	—
1050	#117	—	79	4	no	—
1051	#117	—	79	4	no	—
1052	#117	—	79	8	no	—
1053	#117	C₂²×D₇₉	1	4	yes	complemented
1054	#117	C₂²×D₇₉	1	4	yes	complemented
1055	C₂×C₂²⋊C₄	—	79	2	no	—
1056	C₂×C₂²⋊C₄	—	79	4	no	—
1057	C₂×C₂²⋊C₄	—	79	4	no	—
1058	C₂×C₂²⋊C₄	—	79	4	no	—
1059	C₂×C₂²⋊C₄	—	79	4	no	—
1060	C₂×C₂²⋊C₄	—	79	8	no	—
1061	C₂×C₂²⋊C₄	—	79	4	no	—
1062	C₂×C₂²⋊C₄	—	79	4	no	—
1063	C₂×C₂²⋊C₄	—	79	4	no	—
1064	C₂×C₂²⋊C₄	—	79	4	no	—
1065	C₂×C₂²⋊C₄	—	79	8	no	—
1066	C₂×C₂²⋊C₄	—	79	8	no	—
1067	C₂×C₂²⋊C₄	—	79	8	no	—
1068	C₂×C₂²⋊C₄	—	79	8	no	—
1069	C₂×C₂²⋊C₄	—	79	8	no	—
1070	C₂×C₂²⋊C₄	—	79	8	no	—
1071	C₂×C₂²⋊C₄	—	79	8	no	—
1072	C₂×C₂²⋊C₄	—	79	4	no	—
1073	C₂×C₂²⋊C₄	—	79	8	no	—
1074	C₂×C₂²⋊C₄	—	79	4	no	—
1075	C₂×C₂²⋊C₄	—	79	8	no	—
1076	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1077	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1080	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	complemented
1081	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1082	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1083	C₂⁴	—	2	4	no	—
1084	C₂⁴	—	4	4	no	—
1085	C₂⁴	—	316	4	no	—
1086	C₂⁴	—	316	4	no	—
1087	C₂⁴	—	316	8	no	—
1088	C₂⁴	—	316	8	no	—
1089	C₂⁴	—	316	4	no	—
1090	C₂⁴	—	316	8	no	—
1091	C₂⁴	—	316	4	no	—
1092	C₂⁴	—	316	2	no	—
1093	C₂⁴	—	316	4	no	—
1094	C₂⁴	—	316	64	no	—
1095	C₂⁴	—	316	8	no	—
1096	C₂⁴	—	316	8	no	—
1097	C₂⁴	—	316	8	no	—
1098	C₂⁴	—	316	8	no	—
1099	C₂⁴	—	316	8	no	—
1100	C₂⁴	—	79	2	no	—
1101	C₂⁴	—	79	4	no	—
1102	C₂⁴	—	79	2	no	—
1103	C₂⁴	—	79	4	no	—
1104	C₂⁴	—	79	2	no	—
1105	C₂⁴	—	79	2	no	—
1106	C₂⁴	—	79	8	no	—
1107	C₂⁴	—	79	4	no	—
1108	C₂⁴	—	79	2	no	—
1109	C₂⁴	—	79	2	no	—
1110	C₂⁴	—	79	2	no	—
1111	C₂⁴	—	79	4	no	—
1112	C₂⁴	—	79	4	no	—
1113	C₂⁴	—	79	4	no	—
1114	C₂⁴	—	79	2	no	—
1115	C₂⁴	—	158	8	no	—
1116	C₂⁴	—	158	16	no	—
1117	C₂⁴	—	158	8	no	—
1118	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1119	C₂⁴	C₂³×D₇₉	1	4	yes	—
1120	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1121	C₂⁴	C₂³×D₇₉	1	2	yes	—
1122	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1123	#41	—	4	8	no	—
1124	#41	—	316	8	no	—
1125	#41	—	316	8	no	—
1126	#41	—	316	16	no	—
1127	#41	—	316	8	no	—
1128	#41	—	316	8	no	—
1129	#41	—	316	16	no	—
1130	C₂×Q₈	—	79	4	no	—
1131	C₂×Q₈	—	79	4	no	—
1132	C₂×Q₈	C₂³×D₇₉	1	4	yes	complemented
1133	C₂×D₄	—	2	8	no	—
1134	C₂×D₄	—	4	8	no	—
1135	C₂×D₄	—	316	8	no	—
1136	C₂×D₄	—	316	4	no	—
1137	C₂×D₄	—	316	8	no	—
1138	C₂×D₄	—	316	16	no	—
1139	C₂×D₄	—	316	8	no	—
1140	C₂×D₄	—	316	8	no	—
1141	C₂×D₄	—	316	16	no	—
1142	C₂×D₄	—	316	16	no	—
1143	C₂×D₄	—	316	16	no	—
1144	C₂×D₄	—	316	16	no	—
1145	C₂×D₄	—	316	16	no	—
1146	C₂×D₄	—	316	8	no	—
1147	C₂×D₄	—	316	8	no	—
1148	C₂×D₄	—	316	16	no	—
1149	C₂×D₄	—	316	16	no	—
1150	C₂×D₄	—	316	8	no	—
1151	C₂×D₄	—	316	16	no	—
1152	C₂×D₄	—	316	8	no	—
1153	C₂×D₄	—	316	8	no	—
1154	C₂×D₄	—	316	16	no	—
1155	C₂×D₄	—	316	4	no	—
1156	C₂×D₄	—	316	4	no	—
1157	C₂×D₄	—	79	8	no	—
1158	C₂×D₄	—	79	8	no	—
1159	C₂×D₄	—	79	8	no	—
1160	C₂×D₄	—	79	8	no	—
1161	C₂×D₄	—	79	4	no	—
1162	C₂×D₄	—	79	4	no	—
1163	C₂×D₄	—	79	8	no	—
1164	C₂×D₄	—	79	8	no	—
1165	C₂×D₄	—	79	8	no	—
1166	C₂×D₄	—	79	4	no	—
1167	C₂×D₄	—	79	4	no	—
1168	C₂×D₄	—	79	4	no	—
1169	C₂×D₄	—	79	4	no	—
1170	C₂×D₄	—	79	8	no	—
1171	C₂×D₄	—	79	8	no	—
1172	C₂×D₄	—	79	8	no	—
1173	C₂×D₄	—	79	8	no	—
1174	C₂×D₄	—	79	8	no	—
1175	C₂×D₄	—	79	4	no	—
1176	C₂×D₄	—	79	4	no	—
1177	C₂×D₄	—	79	8	no	—
1178	C₂×D₄	—	79	8	no	—
1179	C₂×D₄	—	79	8	no	—
1180	C₂×D₄	—	158	16	no	—
1181	C₂×D₄	—	158	32	no	—
1182	C₂×D₄	—	158	8	no	—
1183	C₂×D₄	—	158	8	no	—
1184	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1185	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1186	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1187	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1188	C₂×D₄	C₂³×D₇₉	1	4	yes	complemented
1189	C₂²×C₄	—	4	4	no	—
1190	C₂²×C₄	—	316	4	no	—
1191	C₂²×C₄	—	316	8	no	—
1192	C₂²×C₄	—	316	2	no	—
1193	C₂²×C₄	—	79	4	no	—
1194	C₂²×C₄	—	79	4	no	—
1195	C₂²×C₄	—	79	4	no	—
1196	C₂²×C₄	—	79	8	no	—
1197	C₂²×C₄	—	79	8	no	—
1198	C₂²×C₄	—	79	8	no	—
1199	C₂²×C₄	—	79	8	no	—
1200	C₂²×C₄	—	79	4	no	—
1201	C₂²×C₄	—	79	4	no	—
1202	C₂²×C₄	—	79	2	no	—
1203	C₂²×C₄	—	79	2	no	—
1204	C₂²×C₄	—	79	8	no	—
1205	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1206	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1207	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1208	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1209	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1210	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1211	C₂²×C₄	C₂³×D₇₉	1	8	yes	complemented
1212	C₄⋊C₄	—	79	8	no	—
1213	C₄⋊C₄	—	79	8	no	—
1214	C₄⋊C₄	—	79	8	no	—
1215	C₄⋊C₄	—	79	8	no	—
1216	C₄⋊C₄	—	79	8	no	—
1217	C₄⋊C₄	—	79	4	no	—
1218	C₄⋊C₄	—	79	4	no	—
1219	C₄⋊C₄	C₂³×D₇₉	1	8	yes	complemented
1220	C₄⋊C₄	C₂³×D₇₉	1	4	yes	complemented
1221	C₄⋊C₄	C₂³×D₇₉	1	4	yes	complemented
1222	C₄⋊C₄	C₂³×D₇₉	1	8	yes	complemented
1223	C₂²⋊C₄	—	79	8	no	—
1224	C₂²⋊C₄	—	79	4	no	—
1225	C₂²⋊C₄	—	79	4	no	—
1226	C₂²⋊C₄	—	79	8	no	—
1227	C₂²⋊C₄	—	79	8	no	—
1228	C₂²⋊C₄	—	79	8	no	—
1229	C₂²⋊C₄	—	79	8	no	—
1230	C₂²⋊C₄	—	79	8	no	—
1231	C₂²⋊C₄	—	79	8	no	—
1232	C₂²⋊C₄	—	79	8	no	—
1233	C₂²⋊C₄	—	79	8	no	—
1234	C₂²⋊C₄	—	79	8	no	—
1235	C₂²⋊C₄	—	79	8	no	—
1236	C₂²⋊C₄	—	79	8	no	—
1237	C₂²⋊C₄	—	79	8	no	—
1238	C₂²⋊C₄	—	79	8	no	—
1239	C₂²⋊C₄	—	79	8	no	—
1240	C₂²⋊C₄	—	79	8	no	—
1241	C₂²⋊C₄	—	79	8	no	—
1242	C₂²⋊C₄	—	79	8	no	—
1243	C₂²⋊C₄	—	79	8	no	—
1244	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1245	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1246	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1247	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1248	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1249	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1250	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1251	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	complemented
1252	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	complemented
1253	C₄²	—	79	8	no	—
1254	C₄²	—	79	8	no	—
1255	C₄²	C₂³×D₇₉	1	8	yes	complemented
1256	C₂³	—	2	4	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	2	8	no	—
1259	C₂³	—	2	8	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	4	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	2	no	—
1265	C₂³	—	4	4	no	—
1266	C₂³	—	4	16	no	—
1267	C₂³	—	316	32	no	—
1268	C₂³	—	316	2	no	—
1269	C₂³	—	316	4	no	—
1270	C₂³	—	316	2	no	—
1271	C₂³	—	316	4	no	—
1272	C₂³	—	316	4	no	—
1273	C₂³	—	316	2	no	—
1274	C₂³	—	316	4	no	—
1275	C₂³	—	316	2	no	—
1276	C₂³	—	316	4	no	—
1277	C₂³	—	316	4	no	—
1278	C₂³	—	316	2	no	—
1279	C₂³	—	316	4	no	—
1280	C₂³	—	316	2	no	—
1281	C₂³	—	316	4	no	—
1282	C₂³	—	316	4	no	—
1283	C₂³	—	316	4	no	—
1284	C₂³	—	316	4	no	—
1285	C₂³	—	316	8	no	—
1286	C₂³	—	316	8	no	—
1287	C₂³	—	316	8	no	—
1288	C₂³	—	316	4	no	—
1289	C₂³	—	316	64	no	—
1290	C₂³	—	316	32	no	—
1291	C₂³	—	316	32	no	—
1292	C₂³	—	316	64	no	—
1293	C₂³	—	79	8	no	—
1294	C₂³	—	79	4	no	—
1295	C₂³	—	79	4	no	—
1296	C₂³	—	79	4	no	—
1297	C₂³	—	79	4	no	—
1298	C₂³	—	632	8	no	—
1299	C₂³	—	632	16	no	—
1300	C₂³	—	158	8	no	—
1301	C₂³	—	158	8	no	—
1302	C₂³	—	158	8	no	—
1303	C₂³	—	158	8	no	—
1304	C₂³	—	158	8	no	—
1305	C₂³	—	158	16	no	—
1306	C₂³	—	158	8	no	—
1307	C₂³	—	158	4	no	—
1308	C₂³	—	158	8	no	—
1309	C₂³	—	158	4	no	—
1310	C₂³	—	158	8	no	—
1311	C₂³	—	158	8	no	—
1312	C₂³	—	158	8	no	—
1313	C₂³	—	158	4	no	—
1314	C₂³	—	158	4	no	—
1315	C₂³	—	158	4	no	—
1316	C₂³	#14579207	1	4	yes	complemented
1317	C₂³	C₂⁴×D₇₉	1	2	yes	—
1318	C₂³	C₂⁴×D₇₉	1	4	yes	—
1319	C₂³	C₂⁴×D₇₉	1	2	yes	—
1320	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1321	C₂³	C₂⁴×D₇₉	1	2	yes	—
1322	Q₈	—	4	4	no	—
1323	Q₈	—	316	4	no	—
1324	Q₈	—	316	4	no	—
1325	D₄	—	2	16	no	—
1326	D₄	—	2	8	no	—
1327	D₄	—	2	8	no	—
1328	D₄	—	4	8	no	—
1329	D₄	—	4	4	no	—
1330	D₄	—	316	8	no	—
1331	D₄	—	316	8	no	—
1332	D₄	—	316	8	no	—
1333	D₄	—	316	8	no	—
1334	D₄	—	316	4	no	—
1335	D₄	—	316	8	no	—
1336	D₄	—	316	4	no	—
1337	D₄	—	316	8	no	—
1338	D₄	—	316	8	no	—
1339	D₄	—	316	8	no	—
1340	D₄	—	316	8	no	—
1341	D₄	—	316	8	no	—
1342	D₄	—	316	4	no	—
1343	D₄	—	316	4	no	—
1344	D₄	—	158	16	no	—
1345	D₄	—	158	16	no	—
1346	D₄	—	158	16	no	—
1347	D₄	—	158	16	no	—
1348	D₄	—	158	16	no	—
1349	D₄	—	158	8	no	—
1350	D₄	—	158	8	no	—
1351	D₄	—	158	8	no	—
1352	D₄	—	158	8	no	—
1353	C₂×C₄	—	2	8	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	4	2	no	—
1356	C₂×C₄	—	4	4	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	8	no	—
1360	C₂×C₄	—	316	8	no	—
1361	C₂×C₄	—	316	8	no	—
1362	C₂×C₄	—	316	8	no	—
1363	C₂×C₄	—	316	8	no	—
1364	C₂×C₄	—	316	4	no	—
1365	C₂×C₄	—	316	4	no	—
1366	C₂×C₄	—	316	4	no	—
1367	C₂×C₄	—	316	4	no	—
1368	C₂×C₄	—	316	4	no	—
1369	C₂×C₄	—	79	8	no	—
1370	C₂×C₄	—	79	4	no	—
1371	C₂×C₄	—	79	4	no	—
1372	C₂×C₄	—	158	16	no	—
1373	C₂×C₄	—	158	4	no	—
1374	C₂×C₄	—	158	4	no	—
1375	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1376	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1377	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1378	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	4	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	8	no	—
1385	C₂²	—	2	4	no	—
1386	C₂²	—	2	4	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	16	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	8	4	no	—
1392	C₂²	—	316	8	no	—
1393	C₂²	—	316	8	no	—
1394	C₂²	—	316	16	no	—
1395	C₂²	—	316	16	no	—
1396	C₂²	—	316	16	no	—
1397	C₂²	—	316	8	no	—
1398	C₂²	—	316	8	no	—
1399	C₂²	—	316	16	no	—
1400	C₂²	—	316	8	no	—
1401	C₂²	—	79	8	no	—
1402	C₂²	—	632	8	no	—
1403	C₂²	—	632	4	no	—
1404	C₂²	—	632	4	no	—
1405	C₂²	—	632	16	no	—
1406	C₂²	—	158	16	no	—
1407	C₂²	—	158	8	no	—
1408	C₂²	—	158	8	no	—
1409	C₂²	—	158	4	no	—
1410	C₂²	—	158	4	no	—
1411	C₂²	—	158	4	no	—
1412	C₂²	—	158	4	no	—
1413	C₂²	—	158	4	no	—
1414	C₂²	—	158	4	no	—
1415	C₂²	—	158	4	no	—
1416	C₂²	—	1264	4	no	—
1417	C₂²	H(5,𝔽₂)×D₇₉	1	4	yes	—
1418	C₂²	C₂×#14579207	1	4	yes	—
1419	C₂²	C₂×#14579207	1	2	yes	—
1420	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1421	C₄	—	2	4	no	—
1422	C₄	—	2	4	no	—
1423	C₄	—	2	8	no	—
1424	C₄	—	2	4	no	—
1425	C₄	—	158	8	no	—
1426	C₄	—	158	4	no	—
1427	C₄	—	158	4	no	—
1428	C₂	—	2	4	no	—
1429	C₂	—	2	2	no	—
1430	C₂	—	2	4	no	—
1431	C₂	—	4	2	no	—
1432	C₂	—	4	4	no	—
1433	C₂	—	316	4	no	—
1434	C₂	—	316	4	no	—
1435	C₂	—	316	4	no	—
1436	C₂	—	158	8	no	—
1437	C₂	C₂×H(5,𝔽₂)×D₇₉	1	2	yes	—
1438	C₂	C₂²×#14579207	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3490	C₂
hypercenter	#3490	D₇₉
hypocenter	C₇₉	#62817
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #23777556	C₂	semidirect
2. #23777551	C₂	semidirect
3. #23777549	C₂	semidirect
4. #23777090	C₂	semidirect
5. #23777089	C₂	semidirect
6. #23777085	C₂	semidirect
7. #23777084	C₂	semidirect
8. #23777083	C₂	semidirect
9. #23777036	C₂	semidirect
10. #23777033	C₂	semidirect
11. #23777032	C₂	semidirect
12. #23777030	C₂	semidirect
13. #23777029	C₂	semidirect
14. C₂²×#14579131	C₂	semidirect
15. C₂×#120×D₇₉	C₂	semidirect
16. C₇₉×#3490	C₂	semidirect
17. C₂⁵×D₇₉	C₂²	semidirect
18. C₂×#14579207	C₂²	semidirect
19. C₂×#14579206	C₂²	semidirect
20. C₂³×D₃₁₆	C₂²	semidirect
21. C₂³×C₂²⋊D₇₉	C₂²	semidirect
22. C₂²×D₄×D₇₉	C₂²	semidirect
23. C₂²×D₄×D₇₉	C₂²	semidirect
24. #19099305	C₂²	semidirect
25. #19099304	C₂²	semidirect
26. #19099303	C₂²	semidirect
27. #19099301	C₂²	semidirect
28. #19099242	C₂²	semidirect
29. #19099240	C₂²	semidirect
30. #19099240	C₂²	semidirect
31. #19099239	C₂²	semidirect
32. #19099238	C₂²	semidirect
33. #19099237	C₂²	semidirect
34. #19099237	C₂²	semidirect
35. #19099236	C₂²	semidirect
36. #19099209	C₂²	semidirect
37. #19099209	C₂²	semidirect
38. #19099208	C₂²	semidirect
39. #19099208	C₂²	semidirect
40. #19099206	C₂²	semidirect
41. #19099205	C₂²	semidirect
42. #19099205	C₂²	semidirect
43. #19099205	C₂²	semidirect
44. #19099204	C₂²	semidirect
45. #19099204	C₂²	semidirect
46. #19099204	C₂²	semidirect
47. #19099203	C₂²	semidirect
48. #19099203	C₂²	semidirect
49. #19099203	C₂²	semidirect
50. #19099202	C₂²	semidirect
51. #19099201	C₂²	semidirect
52. #19099200	C₂²	semidirect
53. D₄×D₃₁₆	C₂²	semidirect
54. D₄×D₃₁₆	C₂²	semidirect
55. D₄×D₃₁₆	C₂²	semidirect
56. #19099197	C₂²	semidirect
57. #19099197	C₂²	semidirect
58. #19099197	C₂²	semidirect
59. D₄×C₂²⋊D₇₉	C₂²	semidirect
60. #19099195	C₂²	semidirect
61. #19099195	C₂²	semidirect
62. #19099189	C₂²	semidirect
63. #19099188	C₂²	semidirect
64. #19099153	C₂²	semidirect
65. #19099153	C₂²	semidirect
66. #19099152	C₂²	semidirect
67. #19099152	C₂²	semidirect
68. #19099151	C₂²	semidirect
69. #19099150	C₂²	semidirect
70. #19099149	C₂²	semidirect
71. #19099147	C₂²	semidirect
72. #19099146	C₂²	semidirect
73. #19099146	C₂²	semidirect
74. #19099132	C₂²	semidirect
75. #19099132	C₂²	semidirect
76. #19099131	C₂²	semidirect
77. #19099129	C₂²	semidirect
78. #19099128	C₂²	semidirect
79. #19099128	C₂²	semidirect
80. #19099127	C₂²	semidirect
81. #19099125	C₂²	semidirect
82. #19099125	C₂²	semidirect
83. #19099125	C₂²	semidirect
84. #19099124	C₂²	semidirect
85. #19099124	C₂²	semidirect
86. #19099124	C₂²	semidirect
87. #19099124	C₂²	semidirect
88. #19099123	C₂²	semidirect
89. #19099122	C₂²	semidirect
90. #19099121	C₂²	semidirect
91. #19099121	C₂²	semidirect
92. #19099076	C₂²	semidirect
93. #19099075	C₂²	semidirect
94. #19099074	C₂²	semidirect
95. #19099072	C₂²	semidirect
96. #19099071	C₂²	semidirect
97. #19099069	C₂²	semidirect
98. C₂×#14579131	C₂²	semidirect
99. C₂×#14579131	C₂²	semidirect
100. C₂×#14579131	C₂²	semidirect
101. C₂×#14579131	C₂²	semidirect
102. C₂×#14579131	C₂²	semidirect
103. C₂×#14579131	C₂²	semidirect
104. C₂×#14579131	C₂²	semidirect
105. C₂×#14579131	C₂²	semidirect
106. C₂×#14579130	C₂²	semidirect
107. C₂×#14579129	C₂²	semidirect
108. C₂×#14579129	C₂²	semidirect
109. #120×D₇₉	C₂²	semidirect
110. #120×D₇₉	C₂²	semidirect
111. #120×D₇₉	C₂²	semidirect
112. #120×D₇₉	C₂²	semidirect
113. #120×D₇₉	C₂²	semidirect
114. #120×D₇₉	C₂²	semidirect
115. #19099037	C₂²	semidirect
116. #19099036	C₂²	semidirect
117. #19099036	C₂²	semidirect
118. #19099035	C₂²	semidirect
119. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
120. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
121. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
122. #551×C₇₉	C₂²	semidirect
123. #546×C₇₉	C₂²	semidirect
124. #543×C₇₉	C₂²	semidirect
125. #538×C₇₉	C₂²	semidirect
126. #534×C₇₉	C₂²	semidirect
127. #525×C₇₉	C₂²	semidirect
128. C₂×#120×C₇₉	C₂²	semidirect
129. #518×C₇₉	C₂²	semidirect
130. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
138. C₂⁴×D₇₉	C₂³	semidirect
139. C₂⁴×D₇₉	C₂³	semidirect
142. C₂×#11929625	C₂³	semidirect
143. C₂×#11929624	C₂³	semidirect
144. C₂×#11929624	C₂³	semidirect
145. C₂×#11929624	C₂³	semidirect
146. C₂×#11929623	C₂³	semidirect
147. C₂×#11929623	C₂³	semidirect
150. C₂²×D₃₁₆	C₂³	semidirect
151. C₂²×D₃₁₆	C₂³	semidirect
152. C₂²×D₃₁₆	C₂³	semidirect
153. C₂²×D₃₁₆	C₂³	semidirect
154. C₂²×D₃₁₆	C₂³	semidirect
155. C₂²×D₃₁₆	C₂³	semidirect
156. C₂²×D₃₁₆	C₂³	semidirect
160. C₂²×C₂²⋊D₇₉	C₂³	semidirect
161. C₂²×C₂²⋊D₇₉	C₂³	semidirect
162. C₂²×C₂²⋊D₇₉	C₂³	semidirect
163. C₂²×C₂²⋊D₇₉	C₂³	semidirect
164. C₂²×C₂²⋊D₇₉	C₂³	semidirect
165. C₂²×C₂²⋊D₇₉	C₂³	semidirect
169. C₂×D₄×D₇₉	C₂³	semidirect
170. C₂×D₄×D₇₉	C₂³	semidirect
171. C₂×D₄×D₇₉	C₂³	semidirect
172. C₂×D₄×D₇₉	C₂³	semidirect
173. C₂×D₄×D₇₉	C₂³	semidirect
174. C₂×D₄×D₇₉	C₂³	semidirect
175. C₂×D₄×D₇₉	C₂³	semidirect
176. C₂×D₄×D₇₉	C₂³	semidirect
177. C₂×D₄×D₇₉	C₂³	semidirect
178. C₂³×Dic₇₉	C₂³	semidirect
179. C₂²×C₄×D₇₉	C₂³	semidirect
180. C₂²×C₄×D₇₉	C₂³	semidirect
181. #14579158	C₂³	semidirect
182. #14579157	C₂³	semidirect
183. #14579157	C₂³	semidirect
184. #14579156	C₂³	semidirect
185. #14579156	C₂³	semidirect
186. #14579156	C₂³	semidirect
187. #14579155	C₂³	semidirect
188. #14579154	C₂³	semidirect
189. #14579150	C₂³	semidirect
190. #14579150	C₂³	semidirect
191. #14579149	C₂³	semidirect
192. #14579149	C₂³	semidirect
193. #14579147	C₂³	semidirect
194. #14579147	C₂³	semidirect
195. #14579147	C₂³	semidirect
196. #14579147	C₂³	semidirect
197. #14579146	C₂³	semidirect
198. #14579146	C₂³	semidirect
199. #14579146	C₂³	semidirect
200. #14579146	C₂³	semidirect
201. #14579146	C₂³	semidirect
202. #14579146	C₂³	semidirect
203. #14579146	C₂³	semidirect
204. #14579145	C₂³	semidirect
205. #14579145	C₂³	semidirect
206. #14579145	C₂³	semidirect
207. #14579145	C₂³	semidirect
208. #14579144	C₂³	semidirect
209. #14579144	C₂³	semidirect
210. #14579144	C₂³	semidirect
211. #14579143	C₂³	semidirect
212. #14579143	C₂³	semidirect
213. #14579143	C₂³	semidirect
214. #14579142	C₂³	semidirect
215. #14579141	C₂³	semidirect
216. #14579140	C₂³	semidirect
217. #14579140	C₂³	semidirect
218. #14579139	C₂³	semidirect
219. #14579139	C₂³	semidirect
220. #14579138	C₂³	semidirect
221. #14579138	C₂³	semidirect
222. #14579137	C₂³	semidirect
223. #14579136	C₂³	semidirect
224. #14579136	C₂³	semidirect
225. #14579136	C₂³	semidirect
226. #14579136	C₂³	semidirect
227. #14579136	C₂³	semidirect
228. #14579136	C₂³	semidirect
229. #14579136	C₂³	semidirect
230. #14579135	C₂³	semidirect
231. #14579135	C₂³	semidirect
232. #14579135	C₂³	semidirect
233. #14579135	C₂³	semidirect
234. #14579135	C₂³	semidirect
235. #14579135	C₂³	semidirect
236. #14579134	C₂³	semidirect
237. #14579134	C₂³	semidirect
238. #14579134	C₂³	semidirect
239. #14579134	C₂³	semidirect
240. #14579134	C₂³	semidirect
241. #14579134	C₂³	semidirect
242. #14579134	C₂³	semidirect
243. #14579134	C₂³	semidirect
244. #14579133	C₂³	semidirect
245. #14579133	C₂³	semidirect
246. #14579133	C₂³	semidirect
247. #14579133	C₂³	semidirect
248. #14579132	C₂³	semidirect
254. #14579131	C₂³	semidirect
255. #14579131	C₂³	semidirect
256. #14579131	C₂³	semidirect
257. #14579131	C₂³	semidirect
258. #14579131	C₂³	semidirect
259. #14579131	C₂³	semidirect
260. #14579131	C₂³	semidirect
261. #14579131	C₂³	semidirect
262. #14579131	C₂³	semidirect
263. #14579131	C₂³	semidirect
264. #14579131	C₂³	semidirect
265. #14579131	C₂³	semidirect
266. #14579131	C₂³	semidirect
267. #14579131	C₂³	semidirect
268. #14579131	C₂³	semidirect
269. #14579131	C₂³	semidirect
270. #14579131	C₂³	semidirect
271. #14579131	C₂³	semidirect
272. #14579131	C₂³	semidirect
273. #14579131	C₂³	semidirect
274. #14579131	C₂³	semidirect
276. #14579130	C₂³	semidirect
277. #14579130	C₂³	semidirect
278. #14579130	C₂³	semidirect
281. #14579129	C₂³	semidirect
282. #14579129	C₂³	semidirect
283. #14579129	C₂³	semidirect
284. #14579129	C₂³	semidirect
285. #14579129	C₂³	semidirect
286. #14579129	C₂³	semidirect
287. #14579129	C₂³	semidirect
288. #14579129	C₂³	semidirect
289. #14579129	C₂³	semidirect
290. C₄×D₃₁₆	C₂³	semidirect
291. C₄×D₃₁₆	C₂³	semidirect
292. C₄×D₃₁₆	C₂³	semidirect
293. D₄×Dic₇₉	C₂³	semidirect
294. #14579123	C₂³	semidirect
295. #14579123	C₂³	semidirect
296. #14579123	C₂³	semidirect
297. C₄×C₂²⋊D₇₉	C₂³	semidirect
298. C₄×C₂²⋊D₇₉	C₂³	semidirect
299. C₄×C₂²⋊D₇₉	C₂³	semidirect
300. C₄×C₂²⋊D₇₉	C₂³	semidirect
301. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
302. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
303. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
304. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
305. #14579120	C₂³	semidirect
306. #14579119	C₂³	semidirect
307. #14579118	C₂³	semidirect
308. #14579117	C₂³	semidirect
309. #14579117	C₂³	semidirect
311. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
313. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
314. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
315. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
316. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
317. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
318. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
319. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
320. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
322. C₂²⋊C₄×D₇₉	C₂³	semidirect
323. C₂²⋊C₄×D₇₉	C₂³	semidirect
324. C₂²⋊C₄×D₇₉	C₂³	semidirect
325. C₂²⋊C₄×D₇₉	C₂³	semidirect
326. C₂²⋊C₄×D₇₉	C₂³	semidirect
327. C₂²⋊C₄×D₇₉	C₂³	semidirect
328. C₂²⋊C₄×D₇₉	C₂³	semidirect
329. C₂²⋊C₄×D₇₉	C₂³	semidirect
330. C₂²⋊C₄×D₇₉	C₂³	semidirect
332. C₂×#41×C₇₉	C₂³	semidirect
334. C₂²×D₄×C₇₉	C₂³	semidirect
335. C₂³×C₄×C₇₉	C₂³	semidirect
336. #126×C₇₉	C₂³	semidirect
337. #124×C₇₉	C₂³	semidirect
338. #123×C₇₉	C₂³	semidirect
339. #123×C₇₉	C₂³	semidirect
340. #123×C₇₉	C₂³	semidirect
341. C₂²⋊Q₈×C₇₉	C₂³	semidirect
342. C₂²⋊Q₈×C₇₉	C₂³	semidirect
343. C₂²⋊Q₈×C₇₉	C₂³	semidirect
344. #121×C₇₉	C₂³	semidirect
345. #121×C₇₉	C₂³	semidirect
346. #121×C₇₉	C₂³	semidirect
348. #120×C₇₉	C₂³	semidirect
349. #120×C₇₉	C₂³	semidirect
350. #120×C₇₉	C₂³	semidirect
351. C₄×D₄×C₇₉	C₂³	semidirect
352. C₄×D₄×C₇₉	C₂³	semidirect
353. C₄×D₄×C₇₉	C₂³	semidirect
354. #117×C₇₉	C₂³	semidirect
355. #117×C₇₉	C₂³	semidirect
359. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
360. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
361. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
362. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
395. C₂³×D₇₉	C₂⁴	semidirect
402. C₂×Dic₁₅₈	C₂⁴	semidirect
403. C₂×Dic₁₅₈	C₂⁴	semidirect
419. C₂×D₃₁₆	C₂⁴	semidirect
420. C₂×D₃₁₆	C₂⁴	semidirect
421. C₂×D₃₁₆	C₂⁴	semidirect
440. C₂×C₂²⋊D₇₉	C₂⁴	semidirect
441. C₂×C₂²⋊D₇₉	C₂⁴	semidirect
442. C₂×C₂²⋊D₇₉	C₂⁴	semidirect
458. C₂²×Dic₇₉	C₂⁴	semidirect
464. C₂×C₄×D₇₉	C₂⁴	semidirect
465. C₂×C₄×D₇₉	C₂⁴	semidirect
466. C₂×C₄×D₇₉	C₂⁴	semidirect
467. C₂×C₄×D₇₉	C₂⁴	semidirect
468. C₄⋊Dic₇₉	C₂⁴	semidirect
469. C₄⋊Dic₇₉	C₂⁴	semidirect
470. C₄⋊Dic₇₉	C₂⁴	semidirect
471. Dic₇₉⋊C₄	C₂⁴	semidirect
472. Dic₇₉⋊C₄	C₂⁴	semidirect
473. Dic₇₉⋊C₄	C₂⁴	semidirect
474. Dic₇₉⋊C₄	C₂⁴	semidirect
479. C₂²⋊Dic₇₉	C₂⁴	semidirect
490. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
491. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
492. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
493. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
494. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
495. (C₂×D₇₉)⋊C₄	C₂⁴	semidirect
496. C₄×Dic₇₉	C₂⁴	semidirect
497. C₄×Dic₇₉	C₂⁴	semidirect
506. C₂×Q₈×C₇₉	C₂⁴	semidirect
513. C₂×D₄×C₇₉	C₂⁴	semidirect
521. C₂²×C₄×C₇₉	C₂⁴	semidirect
522. C₄⋊C₄×C₇₉	C₂⁴	semidirect
523. C₄⋊C₄×C₇₉	C₂⁴	semidirect
524. C₄⋊C₄×C₇₉	C₂⁴	semidirect
525. C₄⋊C₄×C₇₉	C₂⁴	semidirect
533. C₂²⋊C₄×C₇₉	C₂⁴	semidirect
534. C₂²⋊C₄×C₇₉	C₂⁴	semidirect
535. C₄²×C₇₉	C₂⁴	semidirect
547. C₂³×C₇₉	H(5,𝔽₂)	semidirect
597. C₂²×D₇₉	H(5,𝔽₂)	semidirect
728. #3490	D₇₉	semidirect
736. C₇₉	#62817	semidirect
756. #551	C₂×D₇₉	semidirect
774. #546	C₂×D₇₉	semidirect
786. #543	C₂×D₇₉	semidirect
797. #538	C₂×D₇₉	semidirect
816. #534	C₂×D₇₉	semidirect
823. #525	C₂×D₇₉	semidirect
841. C₂×#120	C₂×D₇₉	semidirect
846. #518	C₂×D₇₉	semidirect
850. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
869. C₂×#41	C₂²×D₇₉	semidirect
901. C₂²×D₄	C₂²×D₇₉	semidirect
905. C₂³×C₄	C₂²×D₇₉	semidirect
914. #126	C₂²×D₇₉	semidirect
923. #124	C₂²×D₇₉	semidirect
942. #123	C₂²×D₇₉	semidirect
943. #123	C₂²×D₇₉	semidirect
944. #123	C₂²×D₇₉	semidirect
953. C₂²⋊Q₈	C₂²×D₇₉	semidirect
954. C₂²⋊Q₈	C₂²×D₇₉	semidirect
955. C₂²⋊Q₈	C₂²×D₇₉	semidirect
982. #121	C₂²×D₇₉	semidirect
983. #121	C₂²×D₇₉	semidirect
984. #121	C₂²×D₇₉	semidirect
1027. #120	C₂²×D₇₉	semidirect
1028. #120	C₂²×D₇₉	semidirect
1029. #120	C₂²×D₇₉	semidirect
1045. C₄×D₄	C₂²×D₇₉	semidirect
1046. C₄×D₄	C₂²×D₇₉	semidirect
1047. C₄×D₄	C₂²×D₇₉	semidirect
1053. #117	C₂²×D₇₉	semidirect
1054. #117	C₂²×D₇₉	semidirect
1079. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1080. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1081. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1082. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1132. C₂×Q₈	C₂³×D₇₉	semidirect
1188. C₂×D₄	C₂³×D₇₉	semidirect
1211. C₂²×C₄	C₂³×D₇₉	semidirect
1219. C₄⋊C₄	C₂³×D₇₉	semidirect
1220. C₄⋊C₄	C₂³×D₇₉	semidirect
1221. C₄⋊C₄	C₂³×D₇₉	semidirect
1222. C₄⋊C₄	C₂³×D₇₉	semidirect
1251. C₂²⋊C₄	C₂³×D₇₉	semidirect
1252. C₂²⋊C₄	C₂³×D₇₉	semidirect
1255. C₄²	C₂³×D₇₉	semidirect
1316. C₂³	#14579207	semidirect

Maximal subgroups

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

subgroup	index
#23777556	2
#23777551	2
#23777549	2
#23777090	2
#23777089	2
#23777085	2
#23777084	2
#23777083	2
#23777036	2
#23777033	2
#23777032	2
#23777030	2
#23777029	2
C₂²×#14579131	2
C₂×#120×D₇₉	2
C₇₉×#3490	2
#62817	79