Subgroups — #35197291

Order 20224.

7474 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777240	C₂	1	8	yes	maximal, complemented
2	#23777235	C₂	1	4	yes	maximal, complemented
3	#23777232	C₂	1	4	yes	maximal, complemented
4	#23777231	C₂	1	8	yes	maximal, complemented
5	#23777098	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777096	C₂	1	2	yes	maximal, complemented
7	#23777095	C₂	1	8	yes	maximal, complemented
8	#23777090	C₂	1	1	yes	maximal, characteristic, complemented
9	#23777088	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777085	C₂	1	2	yes	maximal, complemented
11	#23777084	C₂	1	8	yes	maximal, complemented
12	#23776810	C₂	1	4	yes	maximal, complemented
13	#23776808	C₂	1	4	yes	maximal, complemented
14	#543×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099124	C₂	1	2	yes	maximal, complemented
16	#534×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#19099037	C₂	1	1	yes	maximal, characteristic, complemented
18	#518×D₇₉	C₂	1	2	yes	maximal, complemented
19	C₇₉×#3491	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic
21	C₂²×D₄×D₇₉	C₂²	1	2	yes	—
22	#19099266	C₂²	1	8	yes	complemented
23	#19099266	C₂²	1	4	yes	complemented
24	#19099264	C₂²	1	8	yes	complemented
25	#19099264	C₂²	1	8	yes	complemented
26	#19099263	C₂²	1	4	yes	complemented
27	#19099258	C₂²	1	8	yes	complemented
28	#19099257	C₂²	1	8	yes	complemented
29	#19099254	C₂²	1	4	yes	complemented
30	#19099251	C₂²	1	4	yes	complemented
31	#19099250	C₂²	1	8	yes	complemented
32	#19099248	C₂²	1	8	yes	complemented
33	#19099246	C₂²	1	8	yes	complemented
34	#19099245	C₂²	1	8	yes	complemented
35	#19099242	C₂²	1	8	yes	complemented
36	#19099240	C₂²	1	8	yes	complemented
37	#19099240	C₂²	1	8	yes	complemented
38	#19099239	C₂²	1	8	yes	complemented
39	#19099238	C₂²	1	8	yes	complemented
40	#19099238	C₂²	1	8	yes	complemented
41	#19099237	C₂²	1	8	yes	complemented
42	#19099237	C₂²	1	8	yes	complemented
43	#19099237	C₂²	1	8	yes	complemented
44	#19099236	C₂²	1	8	yes	complemented
45	#19099236	C₂²	1	8	yes	complemented
46	#19099225	C₂²	1	4	yes	complemented
47	#19099223	C₂²	1	8	yes	complemented
48	#19099221	C₂²	1	4	yes	complemented
49	#19099209	C₂²	1	8	yes	complemented
50	#19099208	C₂²	1	4	yes	complemented
51	#19099206	C₂²	1	4	yes	complemented
52	#19099205	C₂²	1	8	yes	complemented
53	#19099204	C₂²	1	8	yes	complemented
54	#19099203	C₂²	1	8	yes	complemented
55	#19099200	C₂²	1	8	yes	complemented
56	#19099189	C₂²	1	2	yes	complemented
57	#19099189	C₂²	1	1	yes	characteristic, complemented
58	#19099188	C₂²	1	4	yes	complemented
59	#19099188	C₂²	1	8	yes	complemented
60	#19099161	C₂²	1	8	yes	complemented
61	#19099161	C₂²	1	8	yes	complemented
62	#19099160	C₂²	1	4	yes	complemented
63	#19099159	C₂²	1	8	yes	complemented
64	#19099157	C₂²	1	8	yes	complemented
65	#19099154	C₂²	1	8	yes	complemented
66	#19099153	C₂²	1	4	yes	complemented
67	#19099152	C₂²	1	8	yes	complemented
68	#19099152	C₂²	1	8	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	#19099125	C₂²	1	1	yes	characteristic
74	#19099124	C₂²	1	8	yes	—
75	#19099124	C₂²	1	4	yes	complemented
76	#19099124	C₂²	1	8	yes	complemented
77	#19099124	C₂²	1	4	yes	complemented
78	#19099124	C₂²	1	4	yes	complemented
79	#19099124	C₂²	1	4	yes	complemented
80	#19099124	C₂²	1	4	yes	complemented
81	#19099123	C₂²	1	4	yes	complemented
82	#19099122	C₂²	1	2	yes	—
83	#19099121	C₂²	1	4	yes	complemented
84	#19099100	C₂²	1	8	yes	complemented
85	#19099098	C₂²	1	8	yes	complemented
86	#19099097	C₂²	1	4	yes	complemented
87	#19099096	C₂²	1	8	yes	complemented
88	#19099091	C₂²	1	8	yes	complemented
89	#19099090	C₂²	1	8	yes	complemented
90	#19099076	C₂²	1	4	yes	complemented
91	#19099076	C₂²	1	8	yes	complemented
92	#19099075	C₂²	1	8	yes	complemented
93	#19099073	C₂²	1	4	yes	complemented
94	#19099072	C₂²	1	8	yes	complemented
95	#19099072	C₂²	1	8	yes	complemented
96	#19099071	C₂²	1	8	yes	complemented
97	C₂×#14579146	C₂²	1	4	yes	complemented
98	C₂×#14579144	C₂²	1	2	yes	complemented
99	#123×D₇₉	C₂²	1	4	yes	complemented
100	C₂²⋊Q₈×D₇₉	C₂²	1	8	yes	complemented
101	C₂²⋊Q₈×D₇₉	C₂²	1	4	yes	complemented
102	C₂×#14579136	C₂²	1	4	yes	complemented
103	C₂×#14579134	C₂²	1	4	yes	complemented
104	#121×D₇₉	C₂²	1	4	yes	complemented
105	C₂×#14579131	C₂²	1	2	yes	complemented
106	C₂×#14579131	C₂²	1	4	yes	complemented
107	C₂×#14579129	C₂²	1	2	yes	complemented
108	#120×D₇₉	C₂²	1	4	yes	complemented
109	#19099038	C₂²	1	2	yes	complemented
110	#19099037	C₂²	1	8	yes	complemented
111	#19099037	C₂²	1	4	yes	complemented
112	#19099037	C₂²	1	8	yes	complemented
113	#19099036	C₂²	1	2	yes	complemented
114	#19099036	C₂²	1	2	yes	complemented
115	#19099036	C₂²	1	4	yes	complemented
116	#19099035	C₂²	1	8	yes	complemented
117	#19099035	C₂²	1	8	yes	complemented
118	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
119	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
120	C₂×#14579123	C₂²	1	2	yes	complemented
121	C₂×#14579123	C₂²	1	2	yes	complemented
122	C₄×D₄×D₇₉	C₂²	1	8	yes	complemented
123	C₄×D₄×D₇₉	C₂²	1	8	yes	complemented
124	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
125	#117×D₇₉	C₂²	1	4	yes	complemented
126	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
127	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
128	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
129	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₂²⋊C₄×D₇₉	C₂²	1	4	yes	complemented
132	#552×C₇₉	C₂²	1	8	yes	complemented
133	#551×C₇₉	C₂²	1	8	yes	complemented
134	#543×C₇₉	C₂²	1	1	yes	characteristic, complemented
135	#539×C₇₉	C₂²	1	4	yes	complemented
136	#534×C₇₉	C₂²	1	1	yes	characteristic
137	#529×C₇₉	C₂²	1	4	yes	complemented
138	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
139	#518×C₇₉	C₂²	1	2	yes	complemented
140	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂⁴×D₇₉	C₂³	1	2	yes	—
142	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
143	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
144	C₂×#11929625	C₂³	1	4	yes	complemented
145	C₂×#11929624	C₂³	1	8	yes	complemented
146	C₂×#11929623	C₂³	1	4	yes	complemented
147	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
148	C₂²×D₃₁₆	—	2	8	no	—
149	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
150	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
151	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
152	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
153	C₂²×D₃₁₆	C₂³	1	4	yes	—
154	C₂²×D₃₁₆	C₂³	1	4	yes	—
155	C₂²×D₃₁₆	C₂³	1	2	yes	—
156	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
157	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
160	C₂×D₄×D₇₉	—	2	16	no	—
161	C₂×D₄×D₇₉	C₂³	1	4	yes	—
162	C₂×D₄×D₇₉	C₂³	1	4	yes	—
163	C₂×D₄×D₇₉	C₂³	1	4	yes	—
164	C₂×D₄×D₇₉	C₂³	1	4	yes	—
165	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
166	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
167	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
168	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
169	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
171	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
172	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
173	#14579156	C₂³	1	8	yes	complemented
174	#14579156	C₂³	1	8	yes	complemented
175	#14579156	C₂³	1	8	yes	complemented
176	#14579156	C₂³	1	8	yes	complemented
177	#14579156	C₂³	1	8	yes	complemented
178	#14579156	C₂³	1	8	yes	complemented
179	#14579155	C₂³	1	8	yes	complemented
180	#14579155	C₂³	1	8	yes	complemented
181	#14579154	C₂³	1	8	yes	complemented
182	#14579154	C₂³	1	8	yes	complemented
183	#14579153	C₂³	1	4	yes	complemented
184	#14579152	C₂³	1	8	yes	complemented
185	#14579151	C₂³	1	8	yes	complemented
186	#14579151	C₂³	1	8	yes	complemented
187	#14579151	C₂³	1	8	yes	complemented
188	#14579150	C₂³	1	8	yes	complemented
189	#14579149	C₂³	1	8	yes	complemented
190	#14579149	C₂³	1	4	yes	complemented
191	#14579147	C₂³	1	8	yes	complemented
192	#14579147	C₂³	1	8	yes	complemented
193	#14579147	C₂³	1	8	yes	complemented
194	#14579146	C₂³	1	8	yes	—
195	#14579146	C₂³	1	8	yes	—
196	#14579146	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	4	yes	—
205	#14579145	C₂³	1	8	yes	complemented
206	#14579145	C₂³	1	8	yes	complemented
207	#14579144	C₂³	1	4	yes	—
208	#14579144	C₂³	1	8	yes	—
209	#14579144	C₂³	1	8	yes	complemented
210	#14579144	C₂³	1	4	yes	complemented
211	#14579144	C₂³	1	4	yes	complemented
212	#14579143	C₂³	1	8	yes	complemented
213	#14579143	C₂³	1	8	yes	complemented
214	#14579143	C₂³	1	8	yes	complemented
215	#14579143	C₂³	1	8	yes	complemented
216	#14579142	C₂³	1	4	yes	—
217	#14579141	C₂³	1	8	yes	complemented
218	#14579141	C₂³	1	8	yes	complemented
219	#14579141	C₂³	1	4	yes	complemented
220	#14579141	C₂³	1	4	yes	complemented
221	#14579140	C₂³	1	4	yes	complemented
222	#14579140	C₂³	1	8	yes	complemented
223	#14579139	C₂³	1	8	yes	complemented
224	#14579139	C₂³	1	8	yes	complemented
225	#14579139	C₂³	1	8	yes	complemented
226	#14579139	C₂³	1	8	yes	complemented
227	#14579139	C₂³	1	8	yes	complemented
228	#14579138	C₂³	1	8	yes	complemented
229	#14579138	C₂³	1	8	yes	complemented
230	#14579138	C₂³	1	8	yes	complemented
231	#14579138	C₂³	1	8	yes	complemented
232	#14579137	C₂³	1	8	yes	complemented
233	#14579137	C₂³	1	4	yes	complemented
234	#14579137	C₂³	1	4	yes	complemented
235	#14579136	C₂³	1	8	yes	—
236	#14579136	C₂³	1	8	yes	—
237	#14579136	C₂³	1	4	yes	complemented
238	#14579136	C₂³	1	8	yes	complemented
239	#14579136	C₂³	1	8	yes	complemented
240	#14579136	C₂³	1	8	yes	complemented
241	#14579136	C₂³	1	4	yes	complemented
242	#14579135	C₂³	1	4	yes	—
243	#14579135	C₂³	1	8	yes	complemented
244	#14579134	C₂³	1	8	yes	—
245	#14579134	C₂³	1	8	yes	—
246	#14579134	C₂³	1	8	yes	complemented
247	#14579134	C₂³	1	8	yes	complemented
248	#14579134	C₂³	1	8	yes	complemented
249	#14579134	C₂³	1	8	yes	complemented
250	#14579134	C₂³	1	8	yes	complemented
251	#14579133	C₂³	1	8	yes	—
252	#14579133	C₂³	1	8	yes	complemented
253	#14579132	C₂³	1	4	yes	complemented
254	#14579132	C₂³	1	4	yes	complemented
255	#14579131	C₂³	1	8	yes	—
256	#14579131	C₂³	1	4	yes	—
257	#14579131	C₂³	1	8	yes	—
258	#14579131	C₂³	1	8	yes	—
259	#14579131	C₂³	1	4	yes	complemented
260	#14579131	C₂³	1	8	yes	complemented
261	#14579131	C₂³	1	8	yes	complemented
262	#14579131	C₂³	1	8	yes	complemented
263	#14579131	C₂³	1	4	yes	complemented
264	#14579130	C₂³	1	4	yes	—
265	#14579129	C₂³	1	8	yes	—
266	#14579129	C₂³	1	4	yes	—
267	#14579129	C₂³	1	4	yes	complemented
268	#14579129	C₂³	1	8	yes	complemented
269	#14579129	C₂³	1	4	yes	complemented
270	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
271	#14579126	C₂³	1	8	yes	complemented
272	C₄×D₃₁₆	C₂³	1	4	yes	—
273	C₄×D₃₁₆	C₂³	1	4	yes	—
274	C₄×D₃₁₆	C₂³	1	8	yes	complemented
275	C₄×D₃₁₆	C₂³	1	8	yes	complemented
276	C₄×D₃₁₆	C₂³	1	8	yes	complemented
277	C₄×D₃₁₆	C₂³	1	4	yes	complemented
278	C₄×D₃₁₆	C₂³	1	8	yes	complemented
279	C₄×D₃₁₆	C₂³	1	4	yes	complemented
280	C₄×D₃₁₆	C₂³	1	8	yes	complemented
281	C₄×D₃₁₆	C₂³	1	4	yes	complemented
282	D₄×Dic₇₉	C₂³	1	8	yes	—
283	D₄×Dic₇₉	C₂³	1	8	yes	complemented
284	#14579123	C₂³	1	8	yes	—
285	#14579123	C₂³	1	8	yes	complemented
286	#14579123	C₂³	1	8	yes	complemented
287	#14579123	C₂³	1	8	yes	complemented
288	#14579123	C₂³	1	8	yes	complemented
289	#14579123	C₂³	1	8	yes	complemented
290	#14579123	C₂³	1	8	yes	complemented
291	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
292	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
293	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
294	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
295	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
296	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
297	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
298	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
299	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
300	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
301	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
302	#14579120	C₂³	1	4	yes	complemented
303	#14579120	C₂³	1	8	yes	complemented
304	#14579119	C₂³	1	4	yes	complemented
305	#14579119	C₂³	1	8	yes	complemented
306	#14579119	C₂³	1	8	yes	complemented
307	#14579119	C₂³	1	4	yes	complemented
308	#14579118	C₂³	1	8	yes	complemented
309	#14579118	C₂³	1	8	yes	complemented
310	#14579118	C₂³	1	8	yes	complemented
311	#14579117	C₂³	1	8	yes	complemented
312	#14579117	C₂³	1	4	yes	complemented
313	#14579117	C₂³	1	4	yes	complemented
314	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	complemented
315	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
316	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
317	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
318	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
319	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
320	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
322	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	complemented
324	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
325	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
326	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
327	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	complemented
328	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	complemented
329	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
330	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
331	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
332	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
333	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
334	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
335	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
336	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
337	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
338	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
339	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
340	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
341	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
342	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
343	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
344	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	complemented
345	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
346	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	complemented
347	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
348	C₂×C₄×Dic₇₉	C₂³	1	2	yes	complemented
349	C₄²×D₇₉	C₂³	1	8	yes	complemented
350	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
351	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
352	#126×C₇₉	C₂³	1	8	yes	complemented
353	#126×C₇₉	C₂³	1	8	yes	complemented
354	#125×C₇₉	C₂³	1	4	yes	complemented
355	#125×C₇₉	C₂³	1	8	yes	complemented
356	#124×C₇₉	C₂³	1	4	yes	complemented
357	#123×C₇₉	C₂³	1	4	yes	—
358	#123×C₇₉	C₂³	1	8	yes	—
359	#123×C₇₉	C₂³	1	8	yes	complemented
360	#123×C₇₉	C₂³	1	4	yes	complemented
361	#123×C₇₉	C₂³	1	4	yes	complemented
362	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
363	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
364	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
365	#121×C₇₉	C₂³	1	4	yes	—
366	#120×C₇₉	C₂³	1	4	yes	—
367	C₄×Q₈×C₇₉	C₂³	1	4	yes	complemented
368	C₄×D₄×C₇₉	C₂³	1	8	yes	—
369	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
370	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
371	#117×C₇₉	C₂³	1	8	yes	complemented
372	#117×C₇₉	C₂³	1	4	yes	complemented
373	#117×C₇₉	C₂³	1	8	yes	complemented
374	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	complemented
375	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	complemented
376	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
378	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
380	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
381	C₂×C₄²×C₇₉	C₂³	1	2	yes	complemented
382	C₂³×D₇₉	—	2	4	no	—
383	C₂³×D₇₉	—	2	8	no	—
384	C₂³×D₇₉	—	8	2	no	—
385	C₂³×D₇₉	—	8	4	no	—
386	C₂³×D₇₉	—	8	2	no	—
387	C₂³×D₇₉	#41	1	8	yes	complemented
388	C₂³×D₇₉	C₂⁴	1	2	yes	—
389	C₂³×D₇₉	C₂⁴	1	4	yes	—
390	C₂³×D₇₉	C₂⁴	1	4	yes	—
391	C₂³×D₇₉	C₂⁴	1	4	yes	—
392	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
393	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
394	C₂³×D₇₉	C₂⁴	1	2	yes	—
395	C₂³×D₇₉	C₂⁴	1	2	yes	—
396	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
397	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
398	#11929625	—	8	4	no	—
399	#11929624	—	8	8	no	—
400	#11929623	—	8	4	no	—
401	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
402	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
403	Q₈×D₇₉	—	8	4	no	—
404	C₂×D₃₁₆	—	2	8	no	—
405	C₂×D₃₁₆	—	2	4	no	—
406	C₂×D₃₁₆	—	2	4	no	—
407	C₂×D₃₁₆	—	2	4	no	—
408	C₂×D₃₁₆	—	2	4	no	—
409	C₂×D₃₁₆	—	2	16	no	—
410	C₂×D₃₁₆	—	2	16	no	—
411	C₂×D₃₁₆	—	8	4	no	—
412	C₂×D₃₁₆	C₂⁴	1	2	yes	—
413	C₂×D₃₁₆	C₂⁴	1	4	yes	—
414	C₂×D₃₁₆	C₂⁴	1	2	yes	—
415	C₂×D₃₁₆	C₂⁴	1	4	yes	—
416	C₂×D₃₁₆	C₂⁴	1	4	yes	—
417	C₂×D₃₁₆	C₂⁴	1	2	yes	—
418	C₂×D₃₁₆	C₂⁴	1	4	yes	—
419	C₂×D₃₁₆	C₂⁴	1	2	yes	—
420	C₂×D₃₁₆	C₂⁴	1	8	yes	—
421	C₂×D₃₁₆	C₂⁴	1	8	yes	—
422	C₂×D₃₁₆	C₂⁴	1	4	yes	—
423	C₂×C₂²⋊D₇₉	—	2	8	no	—
424	C₂×C₂²⋊D₇₉	—	2	8	no	—
425	C₂×C₂²⋊D₇₉	—	8	4	no	—
426	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
427	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
428	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
429	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
430	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
431	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
432	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
433	D₄×D₇₉	—	2	16	no	—
434	D₄×D₇₉	—	2	16	no	—
435	D₄×D₇₉	—	2	16	no	—
436	D₄×D₇₉	—	2	16	no	—
437	D₄×D₇₉	—	8	4	no	—
438	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
439	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
440	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
441	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
442	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
443	C₂×C₄×D₇₉	—	2	8	no	—
444	C₂×C₄×D₇₉	—	8	2	no	—
445	C₂×C₄×D₇₉	—	8	2	no	—
446	C₂×C₄×D₇₉	—	8	4	no	—
447	C₂×C₄×D₇₉	—	8	2	no	—
448	C₂×C₄×D₇₉	—	8	2	no	—
449	C₂×C₄×D₇₉	—	8	8	no	—
450	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
452	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
453	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
454	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
455	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
456	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
457	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
458	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
459	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
460	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
461	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
462	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
463	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
464	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
465	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
466	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
467	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
469	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
470	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
471	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
472	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
473	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
474	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
475	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
477	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
478	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
479	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
480	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
482	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
483	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	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	4	yes	—
491	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
492	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
493	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
494	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
495	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
496	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
497	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
498	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
499	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
500	C₄×Dic₇₉	C₂⁴	1	8	yes	—
501	C₄×Dic₇₉	C₂⁴	1	8	yes	—
502	C₄×Dic₇₉	C₂⁴	1	8	yes	—
503	C₄×Dic₇₉	C₂⁴	1	8	yes	—
504	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
505	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
507	C₂×D₄×C₇₉	—	2	8	no	—
508	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
510	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₇₉	—	2	4	no	—
512	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
515	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
517	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
519	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
524	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
525	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
526	C₄⋊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	4	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	—
534	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
535	C₄²×C₇₉	C₂⁴	1	4	yes	—
536	C₄²×C₇₉	C₂⁴	1	4	yes	—
537	C₄²×C₇₉	C₂⁴	1	8	yes	—
538	C₂³×C₇₉	—	2	4	no	—
539	C₂³×C₇₉	—	4	2	no	—
540	C₂³×C₇₉	—	4	4	no	—
541	C₂³×C₇₉	C₂×#41	1	4	yes	—
542	C₂³×C₇₉	C₂⁵	1	4	yes	—
543	C₂³×C₇₉	C₂⁵	1	2	yes	—
544	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
545	C₂²×D₇₉	—	2	2	no	—
546	C₂²×D₇₉	—	2	2	no	—
547	C₂²×D₇₉	—	2	4	no	—
548	C₂²×D₇₉	—	2	8	no	—
549	C₂²×D₇₉	—	2	8	no	—
550	C₂²×D₇₉	—	2	8	no	—
551	C₂²×D₇₉	—	4	2	no	—
552	C₂²×D₇₉	—	4	2	no	—
553	C₂²×D₇₉	—	4	4	no	—
554	C₂²×D₇₉	—	4	8	no	—
555	C₂²×D₇₉	—	4	2	no	—
556	C₂²×D₇₉	—	4	2	no	—
557	C₂²×D₇₉	—	4	4	no	—
558	C₂²×D₇₉	—	4	8	no	—
559	C₂²×D₇₉	—	4	4	no	—
560	C₂²×D₇₉	—	4	4	no	—
561	C₂²×D₇₉	—	4	4	no	—
562	C₂²×D₇₉	—	8	8	no	—
563	C₂²×D₇₉	—	8	16	no	—
564	C₂²×D₇₉	—	8	8	no	—
565	C₂²×D₇₉	C₂×#41	1	8	yes	—
566	C₂²×D₇₉	C₂×#41	1	4	yes	—
567	C₂²×D₇₉	C₂×#41	1	4	yes	—
568	C₂²×D₇₉	C₂×#41	1	8	yes	—
569	C₂²×D₇₉	C₂⁵	1	4	yes	—
570	C₂²×D₇₉	C₂⁵	1	2	yes	—
571	C₂²×D₇₉	C₂⁵	1	2	yes	—
572	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
573	C₂²×D₇₉	C₂⁵	1	2	yes	—
574	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
575	Q₈×C₇₉	—	4	4	no	—
576	D₄×C₇₉	—	2	8	no	—
577	D₄×C₇₉	—	2	8	no	—
578	D₄×C₇₉	—	4	4	no	—
579	C₂×C₄×C₇₉	—	2	4	no	—
580	C₂×C₄×C₇₉	—	2	2	no	—
581	C₂×C₄×C₇₉	—	2	2	no	—
582	C₂×C₄×C₇₉	—	2	8	no	—
583	C₂×C₄×C₇₉	—	4	2	no	—
584	C₂×C₄×C₇₉	—	4	2	no	—
585	C₂×C₄×C₇₉	—	4	4	no	—
586	C₂×C₄×C₇₉	—	4	8	no	—
587	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
588	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
589	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
590	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
591	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
592	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
593	C₂²⋊D₇₉	—	2	8	no	—
594	C₂²⋊D₇₉	—	2	8	no	—
595	C₂²⋊D₇₉	—	2	8	no	—
596	C₂²⋊D₇₉	—	2	8	no	—
597	C₂²⋊D₇₉	—	4	8	no	—
598	C₂²⋊D₇₉	—	4	8	no	—
599	C₂²⋊D₇₉	—	4	8	no	—
600	C₂×Dic₇₉	—	2	4	no	—
601	C₂×Dic₇₉	—	4	2	no	—
602	C₂×Dic₇₉	—	4	2	no	—
603	C₂×Dic₇₉	—	4	4	no	—
604	C₂×Dic₇₉	—	4	8	no	—
605	C₂×Dic₇₉	C₂⁵	1	4	yes	—
606	C₂×Dic₇₉	C₂⁵	1	4	yes	—
607	C₂×Dic₇₉	C₂⁵	1	8	yes	—
608	C₂×Dic₇₉	C₂⁵	1	4	yes	—
609	D₃₁₆	—	2	8	no	—
610	D₃₁₆	—	2	8	no	—
611	D₃₁₆	—	2	4	no	—
612	D₃₁₆	—	2	4	no	—
613	D₃₁₆	—	2	8	no	—
614	D₃₁₆	—	2	8	no	—
615	D₃₁₆	—	2	4	no	—
616	D₃₁₆	—	2	4	no	—
617	D₃₁₆	—	4	4	no	—
618	D₃₁₆	—	4	8	no	—
619	D₃₁₆	—	4	8	no	—
620	C₄×D₇₉	—	2	8	no	—
621	C₄×D₇₉	—	2	8	no	—
622	C₄×D₇₉	—	4	8	no	—
623	C₄×D₇₉	—	4	8	no	—
624	C₄×D₇₉	—	4	4	no	—
625	C₄×D₇₉	—	4	4	no	—
626	C₄×D₇₉	—	4	8	no	—
627	C₄×D₇₉	—	4	4	no	—
628	C₄×D₇₉	—	4	8	no	—
629	C₄×D₇₉	—	4	8	no	—
630	C₄×D₇₉	—	4	8	no	—
631	C₄×D₇₉	—	4	4	no	—
632	Dic₁₅₈	—	4	4	no	—
633	Dic₁₅₈	—	4	8	no	—
634	C₂²×C₇₉	—	2	2	no	—
635	C₂²×C₇₉	—	2	4	no	—
636	C₂²×C₇₉	—	2	4	no	—
637	C₂²×C₇₉	—	2	8	no	—
638	C₂²×C₇₉	—	4	4	no	—
639	C₂²×C₇₉	—	8	4	no	—
640	C₂²×C₇₉	C₂²×#41	1	2	yes	—
641	C₂²×C₇₉	C₂²×#41	1	4	yes	—
642	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
643	C₂×D₇₉	—	2	2	no	—
644	C₂×D₇₉	—	2	4	no	—
645	C₂×D₇₉	—	2	2	no	—
646	C₂×D₇₉	—	2	4	no	—
647	C₂×D₇₉	—	2	2	no	—
648	C₂×D₇₉	—	2	2	no	—
649	C₂×D₇₉	—	2	2	no	—
650	C₂×D₇₉	—	2	4	no	—
651	C₂×D₇₉	—	2	8	no	—
652	C₂×D₇₉	—	2	2	no	—
653	C₂×D₇₉	—	4	8	no	—
654	C₂×D₇₉	—	4	4	no	—
655	C₂×D₇₉	—	4	8	no	—
656	C₂×D₇₉	—	4	4	no	—
657	C₂×D₇₉	—	4	16	no	—
658	C₂×D₇₉	—	4	4	no	—
659	C₂×D₇₉	—	4	4	no	—
660	C₂×D₇₉	—	8	8	no	—
661	C₂×D₇₉	—	8	4	no	—
662	C₂×D₇₉	—	8	8	no	—
663	C₂×D₇₉	C₂²×#41	1	2	yes	—
664	C₂×D₇₉	C₂²×#41	1	4	yes	—
665	C₂×D₇₉	C₂²×#41	1	2	yes	—
666	C₄×C₇₉	—	2	2	no	—
667	C₄×C₇₉	—	2	2	no	—
668	C₄×C₇₉	—	2	4	no	—
669	C₄×C₇₉	—	2	4	no	—
670	C₄×C₇₉	—	2	8	no	—
671	C₄×C₇₉	—	2	4	no	—
672	Dic₇₉	—	2	4	no	—
673	Dic₇₉	—	2	4	no	—
674	Dic₇₉	—	2	8	no	—
675	Dic₇₉	—	2	4	no	—
676	#62844	—	79	1	no	maximal, Sylow
677	C₂×C₇₉	—	2	2	no	—
678	C₂×C₇₉	—	2	4	no	—
679	C₂×C₇₉	—	4	4	no	—
680	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
681	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
682	D₇₉	—	2	4	no	—
683	D₇₉	—	2	2	no	—
684	D₇₉	—	2	2	no	—
685	D₇₉	—	4	4	no	—
686	D₇₉	—	4	2	no	—
687	D₇₉	—	4	2	no	—
688	#3505	—	79	8	no	—
689	#3505	—	79	8	no	—
690	#3505	—	79	4	no	—
691	#3505	—	79	4	no	—
692	#3491	—	79	8	no	—
693	#3491	—	79	2	no	—
694	#3491	—	79	1	no	—
695	#3491	D₇₉	1	1	yes	characteristic, complemented
696	#3490	—	79	8	no	—
697	#3490	—	79	1	no	—
698	#3490	—	79	1	no	—
699	#3490	—	79	2	no	—
700	#3459	—	79	4	no	—
701	#3459	—	79	4	no	—
702	C₂×#543	—	79	1	no	—
703	C₂×#534	—	79	1	no	—
704	C₂×#534	—	79	2	no	—
705	C₂×#518	—	79	2	no	—
706	C₂×#518	—	79	1	no	—
707	C₇₉	#62844	1	1	yes	characteristic, complemented, Sylow
708	C₂³×D₄	—	79	2	no	—
709	C₂³×D₄	—	79	1	no	—
710	#553	—	79	8	no	—
711	#553	—	79	8	no	—
712	#553	—	79	8	no	—
713	#553	—	79	4	no	—
714	#553	—	79	8	no	—
715	#553	—	79	4	no	—
716	#553	—	79	8	no	—
717	#552	—	79	8	no	—
718	#552	—	79	4	no	—
719	#552	—	79	8	no	—
720	#552	—	79	4	no	—
721	#552	—	79	8	no	—
722	#552	—	79	8	no	—
723	#552	C₂×D₇₉	1	8	yes	complemented
724	#551	—	79	8	no	—
725	#551	—	79	8	no	—
726	#551	—	79	8	no	—
727	#551	—	79	8	no	—
728	#551	—	79	8	no	—
729	#551	—	79	8	no	—
730	#551	—	79	8	no	—
731	#551	—	79	8	no	—
732	#551	—	79	8	no	—
733	#551	—	79	8	no	—
734	#551	—	79	8	no	—
735	#551	C₂×D₇₉	1	8	yes	complemented
736	#548	—	79	4	no	—
737	#548	—	79	8	no	—
738	#548	—	79	4	no	—
739	#546	—	79	4	no	—
740	#546	—	79	8	no	—
741	#546	—	79	8	no	—
742	#546	—	79	8	no	—
743	#546	—	79	8	no	—
744	#546	—	79	4	no	—
745	#546	—	79	8	no	—
746	#543	—	79	4	no	—
747	#543	—	79	8	no	—
748	#543	—	79	2	no	—
749	#543	—	79	1	no	—
750	#543	C₂×D₇₉	1	1	yes	characteristic, complemented
751	#539	—	79	8	no	—
752	#539	—	79	8	no	—
753	#539	—	79	8	no	—
754	#539	—	79	8	no	—
755	#539	—	79	8	no	—
756	#539	—	79	4	no	—
757	#539	C₂×D₇₉	1	4	yes	complemented
758	#538	—	79	8	no	—
759	#538	—	79	8	no	—
760	#538	—	79	8	no	—
761	#538	—	79	8	no	—
762	#538	—	79	4	no	—
763	#538	—	79	4	no	—
764	#538	—	79	8	no	—
765	#534	—	79	2	no	—
766	#534	—	79	8	no	—
767	#534	—	79	4	no	—
768	#534	—	79	8	no	—
769	#534	—	79	4	no	—
770	#534	—	79	4	no	—
771	#534	—	79	4	no	—
772	#534	—	79	4	no	—
773	#534	—	79	4	no	—
774	#534	—	79	4	no	—
775	#534	—	79	1	no	—
776	#534	C₂×D₇₉	1	1	yes	characteristic
777	#529	—	79	8	no	—
778	#529	—	79	8	no	—
779	#529	—	79	8	no	—
780	#529	—	79	8	no	—
781	#529	—	79	8	no	—
782	#529	—	79	4	no	—
783	#529	C₂×D₇₉	1	4	yes	complemented
784	#525	—	79	8	no	—
785	#525	—	79	8	no	—
786	#525	—	79	4	no	—
787	#525	—	79	4	no	—
788	#525	—	79	8	no	—
789	#525	—	79	8	no	—
790	#525	—	79	8	no	—
791	C₂×#123	—	79	2	no	—
792	C₂×#123	—	79	4	no	—
793	C₂×#123	—	79	4	no	—
794	C₂×#123	C₂×D₇₉	1	2	yes	complemented
795	C₂×C₂²⋊Q₈	—	79	8	no	—
796	C₂×C₂²⋊Q₈	—	79	4	no	—
797	C₂×#121	—	79	4	no	—
798	C₂×#121	—	79	4	no	—
799	C₂×#121	—	79	4	no	—
800	C₂×#120	—	79	2	no	—
801	C₂×#120	—	79	4	no	—
802	C₂×#120	—	79	2	no	—
803	C₂×#120	—	79	4	no	—
804	#518	—	79	2	no	—
805	#518	—	79	8	no	—
806	#518	—	79	8	no	—
807	#518	—	79	8	no	—
808	#518	—	79	4	no	—
809	#518	—	79	8	no	—
810	#518	—	79	2	no	—
811	#518	—	79	2	no	—
812	#518	—	79	4	no	—
813	#518	C₂×D₇₉	1	2	yes	complemented
814	C₂×C₄×D₄	—	79	8	no	—
815	C₂×C₄×D₄	—	79	8	no	—
816	C₂×C₄×D₄	—	79	2	no	—
817	C₂×C₄×D₄	—	79	2	no	—
818	C₂×C₄×D₄	—	79	2	no	—
819	C₂×C₄×D₄	—	79	2	no	—
820	C₂×#117	—	79	1	no	—
821	C₂×#117	—	79	4	no	—
822	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
823	C₂²×C₂²⋊C₄	—	79	1	no	—
824	C₂²×C₂²⋊C₄	—	79	1	no	—
825	C₂²×C₂²⋊C₄	—	79	2	no	—
826	C₂²×C₂²⋊C₄	—	79	1	no	—
827	C₂²×C₂²⋊C₄	—	79	1	no	—
828	C₂²×C₂²⋊C₄	—	79	4	no	—
829	C₂⁵	—	79	1	no	—
830	C₂⁵	—	79	2	no	—
831	C₂⁵	—	79	1	no	—
832	C₂×#41	—	79	4	no	—
833	C₂×#41	—	79	4	no	—
834	C₂×#41	—	79	8	no	—
835	C₂²×Q₈	—	79	4	no	—
836	C₂²×D₄	—	79	4	no	—
837	C₂²×D₄	—	79	2	no	—
838	C₂²×D₄	—	79	2	no	—
839	C₂²×D₄	—	79	4	no	—
840	C₂²×D₄	—	79	4	no	—
841	C₂²×D₄	—	79	4	no	—
842	C₂²×D₄	—	79	4	no	—
843	C₂²×D₄	—	79	4	no	—
844	C₂²×D₄	—	79	4	no	—
845	C₂²×D₄	—	79	1	no	—
846	C₂²×D₄	—	79	1	no	—
847	C₂²×D₄	—	79	1	no	—
848	C₂²×D₄	—	79	1	no	—
849	C₂²×D₄	—	79	4	no	—
850	C₂²×D₄	—	79	2	no	—
851	C₂²×D₄	—	79	4	no	—
852	C₂²×D₄	—	158	8	no	—
853	C₂²×D₄	—	158	16	no	—
854	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
855	C₂³×C₄	—	79	2	no	—
856	C₂³×C₄	—	79	2	no	—
857	C₂³×C₄	—	79	4	no	—
858	C₂³×C₄	—	79	2	no	—
859	C₂³×C₄	—	79	2	no	—
860	C₂³×C₄	—	79	8	no	—
861	C₂³×C₄	—	79	2	no	—
862	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
863	#126	—	79	8	no	—
864	#126	—	79	8	no	—
865	#126	—	79	8	no	—
866	#126	—	79	8	no	—
867	#126	—	79	8	no	—
868	#126	—	79	8	no	—
869	#126	—	79	8	no	—
870	#126	—	79	8	no	—
871	#126	—	79	8	no	—
872	#126	—	79	8	no	—
873	#126	C₂²×D₇₉	1	8	yes	complemented
874	#126	C₂²×D₇₉	1	8	yes	complemented
875	#125	—	79	8	no	—
876	#125	—	79	8	no	—
877	#125	—	79	8	no	—
878	#125	—	79	8	no	—
879	#125	—	79	4	no	—
880	#125	C₂²×D₇₉	1	8	yes	complemented
881	#125	C₂²×D₇₉	1	4	yes	complemented
882	#124	—	79	8	no	—
883	#124	—	79	8	no	—
884	#124	—	79	8	no	—
885	#124	—	79	8	no	—
886	#124	—	79	8	no	—
887	#124	—	79	4	no	—
888	#124	C₂²×D₇₉	1	4	yes	complemented
889	#123	—	79	4	no	—
890	#123	—	79	4	no	—
891	#123	—	79	4	no	—
892	#123	—	79	4	no	—
893	#123	—	79	8	no	—
894	#123	—	79	8	no	—
895	#123	—	79	8	no	—
896	#123	—	79	8	no	—
897	#123	—	79	8	no	—
898	#123	—	79	8	no	—
899	#123	—	79	8	no	—
900	#123	—	79	8	no	—
901	#123	—	79	8	no	—
902	#123	—	79	8	no	—
903	#123	—	79	8	no	—
904	#123	—	79	8	no	—
905	#123	—	79	8	no	—
906	#123	—	79	4	no	—
907	#123	—	79	8	no	—
908	#123	—	79	8	no	—
909	#123	—	79	8	no	—
910	#123	—	79	8	no	—
911	#123	—	79	8	no	—
912	#123	C₂²×D₇₉	1	4	yes	—
913	#123	C₂²×D₇₉	1	8	yes	—
914	#123	C₂²×D₇₉	1	4	yes	complemented
915	#123	C₂²×D₇₉	1	4	yes	complemented
916	#123	C₂²×D₇₉	1	8	yes	complemented
917	C₂²⋊Q₈	—	79	8	no	—
918	C₂²⋊Q₈	—	79	4	no	—
919	C₂²⋊Q₈	—	79	4	no	—
920	C₂²⋊Q₈	—	79	4	no	—
921	C₂²⋊Q₈	—	79	8	no	—
922	C₂²⋊Q₈	—	79	8	no	—
923	C₂²⋊Q₈	—	79	8	no	—
924	C₂²⋊Q₈	—	79	8	no	—
925	C₂²⋊Q₈	—	79	8	no	—
926	C₂²⋊Q₈	—	79	4	no	—
927	C₂²⋊Q₈	—	79	8	no	—
928	C₂²⋊Q₈	—	79	8	no	—
929	C₂²⋊Q₈	—	79	4	no	—
930	C₂²⋊Q₈	—	79	8	no	—
931	C₂²⋊Q₈	—	79	8	no	—
932	C₂²⋊Q₈	—	79	8	no	—
933	C₂²⋊Q₈	—	79	8	no	—
934	C₂²⋊Q₈	—	79	8	no	—
935	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
936	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
937	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
938	#121	—	79	8	no	—
939	#121	—	79	4	no	—
940	#121	—	79	4	no	—
941	#121	—	79	8	no	—
942	#121	—	79	4	no	—
943	#121	—	79	8	no	—
944	#121	—	79	8	no	—
945	#121	—	79	8	no	—
946	#121	—	79	4	no	—
947	#121	—	79	8	no	—
948	#121	—	79	8	no	—
949	#121	—	79	4	no	—
950	#121	—	79	8	no	—
951	#121	—	79	8	no	—
952	#121	—	79	8	no	—
953	#121	—	79	8	no	—
954	#121	—	79	8	no	—
955	#121	—	79	8	no	—
956	#121	—	79	8	no	—
957	#121	—	79	8	no	—
958	#121	C₂²×D₇₉	1	4	yes	—
959	#120	—	79	4	no	—
960	#120	—	79	4	no	—
961	#120	—	79	4	no	—
962	#120	—	79	8	no	—
963	#120	—	79	8	no	—
964	#120	—	79	4	no	—
965	#120	—	79	8	no	—
966	#120	—	79	8	no	—
967	#120	—	79	8	no	—
968	#120	—	79	4	no	—
969	#120	—	79	4	no	—
970	#120	—	79	8	no	—
971	#120	—	79	8	no	—
972	#120	—	79	4	no	—
973	#120	—	79	8	no	—
974	#120	C₂²×D₇₉	1	4	yes	—
975	C₄×Q₈	—	79	8	no	—
976	C₄×Q₈	—	79	4	no	—
977	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
978	C₄×D₄	—	79	8	no	—
979	C₄×D₄	—	79	8	no	—
980	C₄×D₄	—	79	8	no	—
981	C₄×D₄	—	79	8	no	—
982	C₄×D₄	—	79	8	no	—
983	C₄×D₄	—	79	8	no	—
984	C₄×D₄	—	79	8	no	—
985	C₄×D₄	—	79	8	no	—
986	C₄×D₄	—	79	8	no	—
987	C₄×D₄	—	79	8	no	—
988	C₄×D₄	—	79	8	no	—
989	C₄×D₄	—	79	8	no	—
990	C₄×D₄	—	79	8	no	—
991	C₄×D₄	—	79	8	no	—
992	C₄×D₄	—	79	8	no	—
993	C₄×D₄	—	79	8	no	—
994	C₄×D₄	—	79	8	no	—
995	C₄×D₄	—	79	8	no	—
996	C₄×D₄	—	79	8	no	—
997	C₄×D₄	—	79	8	no	—
998	C₄×D₄	—	79	8	no	—
999	C₄×D₄	—	79	8	no	—
1000	C₄×D₄	—	79	8	no	—
1001	C₄×D₄	—	79	4	no	—
1002	C₄×D₄	—	79	4	no	—
1003	C₄×D₄	—	79	8	no	—
1004	C₄×D₄	—	79	4	no	—
1005	C₄×D₄	—	79	4	no	—
1006	C₄×D₄	—	79	8	no	—
1007	C₄×D₄	—	79	4	no	—
1008	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1009	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1010	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
1011	#117	—	79	4	no	—
1012	#117	—	79	8	no	—
1013	#117	—	79	8	no	—
1014	#117	—	79	4	no	—
1015	#117	—	79	8	no	—
1016	#117	—	79	4	no	—
1017	#117	—	79	4	no	—
1018	#117	—	79	4	no	—
1019	#117	—	79	8	no	—
1020	#117	—	79	8	no	—
1021	#117	—	79	8	no	—
1022	#117	—	79	8	no	—
1023	#117	C₂²×D₇₉	1	4	yes	complemented
1024	#117	C₂²×D₇₉	1	8	yes	complemented
1025	#117	C₂²×D₇₉	1	8	yes	complemented
1026	C₂×C₄⋊C₄	—	79	2	no	—
1027	C₂×C₄⋊C₄	—	79	4	no	—
1028	C₂×C₄⋊C₄	—	79	8	no	—
1029	C₂×C₄⋊C₄	—	79	4	no	—
1030	C₂×C₄⋊C₄	—	79	4	no	—
1031	C₂×C₄⋊C₄	—	79	8	no	—
1032	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	complemented
1033	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1034	C₂×C₂²⋊C₄	—	79	1	no	—
1035	C₂×C₂²⋊C₄	—	79	1	no	—
1036	C₂×C₂²⋊C₄	—	79	2	no	—
1037	C₂×C₂²⋊C₄	—	79	4	no	—
1038	C₂×C₂²⋊C₄	—	79	2	no	—
1039	C₂×C₂²⋊C₄	—	79	2	no	—
1040	C₂×C₂²⋊C₄	—	79	2	no	—
1041	C₂×C₂²⋊C₄	—	79	2	no	—
1042	C₂×C₂²⋊C₄	—	79	4	no	—
1043	C₂×C₂²⋊C₄	—	79	8	no	—
1044	C₂×C₂²⋊C₄	—	79	4	no	—
1045	C₂×C₂²⋊C₄	—	79	4	no	—
1046	C₂×C₂²⋊C₄	—	79	4	no	—
1047	C₂×C₂²⋊C₄	—	79	4	no	—
1048	C₂×C₂²⋊C₄	—	79	4	no	—
1049	C₂×C₂²⋊C₄	—	79	4	no	—
1050	C₂×C₂²⋊C₄	—	79	4	no	—
1051	C₂×C₂²⋊C₄	—	79	8	no	—
1052	C₂×C₂²⋊C₄	—	79	4	no	—
1053	C₂×C₂²⋊C₄	—	79	4	no	—
1054	C₂×C₂²⋊C₄	—	79	4	no	—
1055	C₂×C₂²⋊C₄	—	79	4	no	—
1056	C₂×C₂²⋊C₄	—	79	8	no	—
1057	C₂×C₂²⋊C₄	—	79	4	no	—
1058	C₂×C₂²⋊C₄	—	79	8	no	—
1059	C₂×C₂²⋊C₄	—	79	4	no	—
1060	C₂×C₂²⋊C₄	—	79	8	no	—
1061	C₂×C₂²⋊C₄	—	79	8	no	—
1062	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1065	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1066	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1067	C₂×C₄²	—	79	2	no	—
1068	C₂×C₄²	—	79	8	no	—
1069	C₂×C₄²	C₂²×D₇₉	1	2	yes	complemented
1070	C₂⁴	—	79	2	no	—
1071	C₂⁴	—	79	1	no	—
1072	C₂⁴	—	79	1	no	—
1073	C₂⁴	—	79	2	no	—
1074	C₂⁴	—	79	4	no	—
1075	C₂⁴	—	79	2	no	—
1076	C₂⁴	—	79	4	no	—
1077	C₂⁴	—	79	4	no	—
1078	C₂⁴	—	79	1	no	—
1079	C₂⁴	—	79	1	no	—
1080	C₂⁴	—	79	8	no	—
1081	C₂⁴	—	632	2	no	—
1082	C₂⁴	—	632	2	no	—
1083	C₂⁴	—	632	4	no	—
1084	C₂⁴	—	158	8	no	—
1085	C₂⁴	—	158	4	no	—
1086	C₂⁴	C₂³×D₇₉	1	2	yes	—
1087	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1088	#41	—	632	8	no	—
1089	#41	—	632	4	no	—
1090	#41	—	632	4	no	—
1091	C₂×Q₈	—	79	8	no	—
1092	C₂×Q₈	—	79	4	no	—
1093	C₂×Q₈	—	632	4	no	—
1094	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1095	C₂×D₄	—	2	8	no	—
1096	C₂×D₄	—	79	8	no	—
1097	C₂×D₄	—	79	8	no	—
1098	C₂×D₄	—	79	8	no	—
1099	C₂×D₄	—	79	4	no	—
1100	C₂×D₄	—	79	4	no	—
1101	C₂×D₄	—	79	4	no	—
1102	C₂×D₄	—	79	4	no	—
1103	C₂×D₄	—	79	8	no	—
1104	C₂×D₄	—	79	8	no	—
1105	C₂×D₄	—	79	4	no	—
1106	C₂×D₄	—	79	2	no	—
1107	C₂×D₄	—	79	2	no	—
1108	C₂×D₄	—	79	4	no	—
1109	C₂×D₄	—	79	4	no	—
1110	C₂×D₄	—	79	4	no	—
1111	C₂×D₄	—	79	2	no	—
1112	C₂×D₄	—	79	4	no	—
1113	C₂×D₄	—	79	2	no	—
1114	C₂×D₄	—	632	4	no	—
1115	C₂×D₄	—	632	4	no	—
1116	C₂×D₄	—	632	4	no	—
1117	C₂×D₄	—	158	16	no	—
1118	C₂×D₄	—	158	4	no	—
1119	C₂×D₄	—	158	4	no	—
1120	C₂×D₄	—	158	4	no	—
1121	C₂×D₄	—	158	4	no	—
1122	C₂×D₄	—	158	16	no	—
1123	C₂×D₄	—	158	8	no	—
1124	C₂×D₄	—	158	16	no	—
1125	C₂×D₄	—	158	16	no	—
1126	C₂×D₄	—	158	16	no	—
1127	C₂×D₄	—	158	16	no	—
1128	C₂×D₄	—	158	8	no	—
1129	C₂×D₄	—	158	8	no	—
1130	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1131	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1132	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1133	C₂²×C₄	—	2	4	no	—
1134	C₂²×C₄	—	79	2	no	—
1135	C₂²×C₄	—	79	2	no	—
1136	C₂²×C₄	—	79	4	no	—
1137	C₂²×C₄	—	79	8	no	—
1138	C₂²×C₄	—	79	8	no	—
1139	C₂²×C₄	—	79	8	no	—
1140	C₂²×C₄	—	79	4	no	—
1141	C₂²×C₄	—	79	8	no	—
1142	C₂²×C₄	—	79	4	no	—
1143	C₂²×C₄	—	79	8	no	—
1144	C₂²×C₄	—	79	4	no	—
1145	C₂²×C₄	—	79	4	no	—
1146	C₂²×C₄	—	79	8	no	—
1147	C₂²×C₄	—	79	8	no	—
1148	C₂²×C₄	—	79	2	no	—
1149	C₂²×C₄	—	79	4	no	—
1150	C₂²×C₄	—	79	4	no	—
1151	C₂²×C₄	—	632	2	no	—
1152	C₂²×C₄	—	632	2	no	—
1153	C₂²×C₄	—	632	2	no	—
1154	C₂²×C₄	—	632	2	no	—
1155	C₂²×C₄	—	632	4	no	—
1156	C₂²×C₄	—	632	8	no	—
1157	C₂²×C₄	—	158	8	no	—
1158	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1161	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1162	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1163	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1164	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1165	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1166	C₄⋊C₄	—	79	8	no	—
1167	C₄⋊C₄	—	79	8	no	—
1168	C₄⋊C₄	—	79	8	no	—
1169	C₄⋊C₄	—	79	8	no	—
1170	C₄⋊C₄	—	79	8	no	—
1171	C₄⋊C₄	—	79	8	no	—
1172	C₄⋊C₄	—	79	8	no	—
1173	C₄⋊C₄	—	79	8	no	—
1174	C₄⋊C₄	—	79	8	no	—
1175	C₄⋊C₄	—	79	4	no	—
1176	C₄⋊C₄	—	79	4	no	—
1177	C₄⋊C₄	—	79	8	no	—
1178	C₄⋊C₄	—	79	4	no	—
1179	C₄⋊C₄	—	79	4	no	—
1180	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1181	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1182	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1183	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1184	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1185	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1186	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1187	C₂²⋊C₄	—	79	4	no	—
1188	C₂²⋊C₄	—	79	4	no	—
1189	C₂²⋊C₄	—	79	4	no	—
1190	C₂²⋊C₄	—	79	4	no	—
1191	C₂²⋊C₄	—	79	8	no	—
1192	C₂²⋊C₄	—	79	8	no	—
1193	C₂²⋊C₄	—	79	4	no	—
1194	C₂²⋊C₄	—	79	8	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	8	no	—
1201	C₂²⋊C₄	—	79	4	no	—
1202	C₂²⋊C₄	—	79	4	no	—
1203	C₂²⋊C₄	—	79	8	no	—
1204	C₂²⋊C₄	—	79	8	no	—
1205	C₂²⋊C₄	—	79	8	no	—
1206	C₂²⋊C₄	—	79	8	no	—
1207	C₂²⋊C₄	—	79	8	no	—
1208	C₂²⋊C₄	—	79	8	no	—
1209	C₂²⋊C₄	—	79	8	no	—
1210	C₂²⋊C₄	—	79	8	no	—
1211	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1212	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1213	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1214	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1215	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1216	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1217	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1218	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1219	C₄²	—	79	8	no	—
1220	C₄²	—	79	8	no	—
1221	C₄²	—	79	8	no	—
1222	C₄²	—	79	8	no	—
1223	C₄²	C₂³×D₇₉	1	8	yes	—
1224	C₄²	C₂³×D₇₉	1	4	yes	—
1225	C₄²	C₂³×D₇₉	1	4	yes	—
1226	C₂³	—	2	4	no	—
1227	C₂³	—	4	2	no	—
1228	C₂³	—	4	4	no	—
1229	C₂³	—	316	2	no	—
1230	C₂³	—	316	2	no	—
1231	C₂³	—	316	2	no	—
1232	C₂³	—	316	2	no	—
1233	C₂³	—	316	4	no	—
1234	C₂³	—	316	8	no	—
1235	C₂³	—	316	4	no	—
1236	C₂³	—	316	4	no	—
1237	C₂³	—	316	4	no	—
1238	C₂³	—	316	4	no	—
1239	C₂³	—	316	8	no	—
1240	C₂³	—	79	8	no	—
1241	C₂³	—	79	4	no	—
1242	C₂³	—	79	4	no	—
1243	C₂³	—	79	8	no	—
1244	C₂³	—	79	1	no	—
1245	C₂³	—	79	2	no	—
1246	C₂³	—	79	1	no	—
1247	C₂³	—	79	2	no	—
1248	C₂³	—	79	2	no	—
1249	C₂³	—	79	4	no	—
1250	C₂³	—	632	8	no	—
1251	C₂³	—	632	8	no	—
1252	C₂³	—	632	16	no	—
1253	C₂³	—	158	8	no	—
1254	C₂³	—	158	8	no	—
1255	C₂³	—	158	2	no	—
1256	C₂³	—	158	2	no	—
1257	C₂³	—	158	4	no	—
1258	C₂³	—	158	8	no	—
1259	C₂³	#41×D₇₉	1	4	yes	—
1260	C₂³	C₂⁴×D₇₉	1	4	yes	—
1261	C₂³	C₂⁴×D₇₉	1	2	yes	—
1262	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1263	Q₈	—	4	4	no	—
1264	Q₈	—	316	8	no	—
1265	Q₈	—	316	4	no	—
1266	D₄	—	2	8	no	—
1267	D₄	—	2	8	no	—
1268	D₄	—	4	4	no	—
1269	D₄	—	316	8	no	—
1270	D₄	—	316	8	no	—
1271	D₄	—	316	4	no	—
1272	D₄	—	316	8	no	—
1273	D₄	—	316	8	no	—
1274	D₄	—	316	8	no	—
1275	D₄	—	158	4	no	—
1276	D₄	—	158	4	no	—
1277	D₄	—	158	8	no	—
1278	D₄	—	158	8	no	—
1279	D₄	—	158	4	no	—
1280	D₄	—	158	4	no	—
1281	D₄	—	158	8	no	—
1282	D₄	—	158	8	no	—
1283	D₄	—	158	8	no	—
1284	D₄	—	158	8	no	—
1285	D₄	—	158	8	no	—
1286	D₄	—	158	8	no	—
1287	C₂×C₄	—	2	8	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	4	no	—
1291	C₂×C₄	—	4	2	no	—
1292	C₂×C₄	—	4	2	no	—
1293	C₂×C₄	—	4	4	no	—
1294	C₂×C₄	—	4	8	no	—
1295	C₂×C₄	—	316	8	no	—
1296	C₂×C₄	—	316	8	no	—
1297	C₂×C₄	—	316	4	no	—
1298	C₂×C₄	—	316	8	no	—
1299	C₂×C₄	—	316	4	no	—
1300	C₂×C₄	—	316	8	no	—
1301	C₂×C₄	—	316	8	no	—
1302	C₂×C₄	—	316	8	no	—
1303	C₂×C₄	—	316	4	no	—
1304	C₂×C₄	—	316	4	no	—
1305	C₂×C₄	—	316	2	no	—
1306	C₂×C₄	—	316	2	no	—
1307	C₂×C₄	—	316	4	no	—
1308	C₂×C₄	—	316	8	no	—
1309	C₂×C₄	—	79	4	no	—
1310	C₂×C₄	—	79	4	no	—
1311	C₂×C₄	—	79	4	no	—
1312	C₂×C₄	—	79	8	no	—
1313	C₂×C₄	—	158	8	no	—
1314	C₂×C₄	—	158	8	no	—
1315	C₂×C₄	—	158	4	no	—
1316	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1317	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1318	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1319	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1320	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1321	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	4	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	8	no	—
1326	C₂²	—	4	4	no	—
1327	C₂²	—	8	4	no	—
1328	C₂²	—	316	4	no	—
1329	C₂²	—	316	4	no	—
1330	C₂²	—	316	8	no	—
1331	C₂²	—	316	8	no	—
1332	C₂²	—	316	4	no	—
1333	C₂²	—	316	4	no	—
1334	C₂²	—	316	16	no	—
1335	C₂²	—	79	2	no	—
1336	C₂²	—	79	4	no	—
1337	C₂²	—	79	2	no	—
1338	C₂²	—	632	8	no	—
1339	C₂²	—	632	4	no	—
1340	C₂²	—	632	8	no	—
1341	C₂²	—	158	2	no	—
1342	C₂²	—	158	2	no	—
1343	C₂²	—	158	4	no	—
1344	C₂²	—	158	2	no	—
1345	C₂²	—	158	8	no	—
1346	C₂²	—	158	4	no	—
1347	C₂²	—	158	2	no	—
1348	C₂²	—	158	2	no	—
1349	C₂²	—	158	4	no	—
1350	C₂²	—	158	2	no	—
1351	C₂²	C₂×#41×D₇₉	1	4	yes	—
1352	C₂²	C₂×#41×D₇₉	1	2	yes	—
1353	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1354	C₄	—	2	2	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	4	no	—
1358	C₄	—	2	8	no	—
1359	C₄	—	2	4	no	—
1360	C₄	—	158	4	no	—
1361	C₄	—	158	4	no	—
1362	C₄	—	158	8	no	—
1363	C₄	—	158	4	no	—
1364	C₂	—	2	4	no	—
1365	C₂	—	2	2	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	316	2	no	—
1368	C₂	—	316	2	no	—
1369	C₂	—	316	4	no	—
1370	C₂	—	158	4	no	—
1371	C₂	—	158	2	no	—
1372	C₂	—	158	2	no	—
1373	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1374	C₂	#23778211	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3491	C₂
hypercenter	#3491	D₇₉
hypocenter	C₇₉	#62844
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. #23777240	C₂	semidirect
2. #23777235	C₂	semidirect
3. #23777232	C₂	semidirect
4. #23777231	C₂	semidirect
5. #23777098	C₂	semidirect
6. #23777096	C₂	semidirect
7. #23777095	C₂	semidirect
8. #23777090	C₂	semidirect
9. #23777088	C₂	semidirect
10. #23777085	C₂	semidirect
11. #23777084	C₂	semidirect
12. #23776810	C₂	semidirect
13. #23776808	C₂	semidirect
14. #543×D₇₉	C₂	semidirect
15. C₂×#19099124	C₂	semidirect
16. #534×D₇₉	C₂	semidirect
17. C₂×#19099037	C₂	semidirect
18. #518×D₇₉	C₂	semidirect
19. C₇₉×#3491	C₂	semidirect
22. #19099266	C₂²	semidirect
23. #19099266	C₂²	semidirect
24. #19099264	C₂²	semidirect
25. #19099264	C₂²	semidirect
26. #19099263	C₂²	semidirect
27. #19099258	C₂²	semidirect
28. #19099257	C₂²	semidirect
29. #19099254	C₂²	semidirect
30. #19099251	C₂²	semidirect
31. #19099250	C₂²	semidirect
32. #19099248	C₂²	semidirect
33. #19099246	C₂²	semidirect
34. #19099245	C₂²	semidirect
35. #19099242	C₂²	semidirect
36. #19099240	C₂²	semidirect
37. #19099240	C₂²	semidirect
38. #19099239	C₂²	semidirect
39. #19099238	C₂²	semidirect
40. #19099238	C₂²	semidirect
41. #19099237	C₂²	semidirect
42. #19099237	C₂²	semidirect
43. #19099237	C₂²	semidirect
44. #19099236	C₂²	semidirect
45. #19099236	C₂²	semidirect
46. #19099225	C₂²	semidirect
47. #19099223	C₂²	semidirect
48. #19099221	C₂²	semidirect
49. #19099209	C₂²	semidirect
50. #19099208	C₂²	semidirect
51. #19099206	C₂²	semidirect
52. #19099205	C₂²	semidirect
53. #19099204	C₂²	semidirect
54. #19099203	C₂²	semidirect
55. #19099200	C₂²	semidirect
56. #19099189	C₂²	semidirect
57. #19099189	C₂²	semidirect
58. #19099188	C₂²	semidirect
59. #19099188	C₂²	semidirect
60. #19099161	C₂²	semidirect
61. #19099161	C₂²	semidirect
62. #19099160	C₂²	semidirect
63. #19099159	C₂²	semidirect
64. #19099157	C₂²	semidirect
65. #19099154	C₂²	semidirect
66. #19099153	C₂²	semidirect
67. #19099152	C₂²	semidirect
68. #19099152	C₂²	semidirect
69. #19099150	C₂²	semidirect
70. #19099149	C₂²	semidirect
71. #19099147	C₂²	semidirect
72. #19099146	C₂²	semidirect
75. #19099124	C₂²	semidirect
76. #19099124	C₂²	semidirect
77. #19099124	C₂²	semidirect
78. #19099124	C₂²	semidirect
79. #19099124	C₂²	semidirect
80. #19099124	C₂²	semidirect
81. #19099123	C₂²	semidirect
83. #19099121	C₂²	semidirect
84. #19099100	C₂²	semidirect
85. #19099098	C₂²	semidirect
86. #19099097	C₂²	semidirect
87. #19099096	C₂²	semidirect
88. #19099091	C₂²	semidirect
89. #19099090	C₂²	semidirect
90. #19099076	C₂²	semidirect
91. #19099076	C₂²	semidirect
92. #19099075	C₂²	semidirect
93. #19099073	C₂²	semidirect
94. #19099072	C₂²	semidirect
95. #19099072	C₂²	semidirect
96. #19099071	C₂²	semidirect
97. C₂×#14579146	C₂²	semidirect
98. C₂×#14579144	C₂²	semidirect
99. #123×D₇₉	C₂²	semidirect
100. C₂²⋊Q₈×D₇₉	C₂²	semidirect
101. C₂²⋊Q₈×D₇₉	C₂²	semidirect
102. C₂×#14579136	C₂²	semidirect
103. C₂×#14579134	C₂²	semidirect
104. #121×D₇₉	C₂²	semidirect
105. C₂×#14579131	C₂²	semidirect
106. C₂×#14579131	C₂²	semidirect
107. C₂×#14579129	C₂²	semidirect
108. #120×D₇₉	C₂²	semidirect
109. #19099038	C₂²	semidirect
110. #19099037	C₂²	semidirect
111. #19099037	C₂²	semidirect
112. #19099037	C₂²	semidirect
113. #19099036	C₂²	semidirect
114. #19099036	C₂²	semidirect
115. #19099036	C₂²	semidirect
116. #19099035	C₂²	semidirect
117. #19099035	C₂²	semidirect
118. C₂×C₄×D₃₁₆	C₂²	semidirect
119. C₂×C₄×D₃₁₆	C₂²	semidirect
120. C₂×#14579123	C₂²	semidirect
121. C₂×#14579123	C₂²	semidirect
122. C₄×D₄×D₇₉	C₂²	semidirect
123. C₄×D₄×D₇₉	C₂²	semidirect
124. C₂×#14579120	C₂²	semidirect
125. #117×D₇₉	C₂²	semidirect
129. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
132. #552×C₇₉	C₂²	semidirect
133. #551×C₇₉	C₂²	semidirect
134. #543×C₇₉	C₂²	semidirect
135. #539×C₇₉	C₂²	semidirect
137. #529×C₇₉	C₂²	semidirect
138. C₂×#123×C₇₉	C₂²	semidirect
139. #518×C₇₉	C₂²	semidirect
140. C₂×#117×C₇₉	C₂²	semidirect
144. C₂×#11929625	C₂³	semidirect
145. C₂×#11929624	C₂³	semidirect
146. C₂×#11929623	C₂³	semidirect
147. C₂×Q₈×D₇₉	C₂³	semidirect
156. C₂²×D₃₁₆	C₂³	semidirect
159. C₂²×C₂²⋊D₇₉	C₂³	semidirect
165. C₂×D₄×D₇₉	C₂³	semidirect
170. C₂²×C₄×D₇₉	C₂³	semidirect
171. C₂²×C₄×D₇₉	C₂³	semidirect
172. C₂²×C₄×D₇₉	C₂³	semidirect
173. #14579156	C₂³	semidirect
174. #14579156	C₂³	semidirect
175. #14579156	C₂³	semidirect
176. #14579156	C₂³	semidirect
177. #14579156	C₂³	semidirect
178. #14579156	C₂³	semidirect
179. #14579155	C₂³	semidirect
180. #14579155	C₂³	semidirect
181. #14579154	C₂³	semidirect
182. #14579154	C₂³	semidirect
183. #14579153	C₂³	semidirect
184. #14579152	C₂³	semidirect
185. #14579151	C₂³	semidirect
186. #14579151	C₂³	semidirect
187. #14579151	C₂³	semidirect
188. #14579150	C₂³	semidirect
189. #14579149	C₂³	semidirect
190. #14579149	C₂³	semidirect
191. #14579147	C₂³	semidirect
192. #14579147	C₂³	semidirect
193. #14579147	C₂³	semidirect
196. #14579146	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
205. #14579145	C₂³	semidirect
206. #14579145	C₂³	semidirect
209. #14579144	C₂³	semidirect
210. #14579144	C₂³	semidirect
211. #14579144	C₂³	semidirect
212. #14579143	C₂³	semidirect
213. #14579143	C₂³	semidirect
214. #14579143	C₂³	semidirect
215. #14579143	C₂³	semidirect
217. #14579141	C₂³	semidirect
218. #14579141	C₂³	semidirect
219. #14579141	C₂³	semidirect
220. #14579141	C₂³	semidirect
221. #14579140	C₂³	semidirect
222. #14579140	C₂³	semidirect
223. #14579139	C₂³	semidirect
224. #14579139	C₂³	semidirect
225. #14579139	C₂³	semidirect
226. #14579139	C₂³	semidirect
227. #14579139	C₂³	semidirect
228. #14579138	C₂³	semidirect
229. #14579138	C₂³	semidirect
230. #14579138	C₂³	semidirect
231. #14579138	C₂³	semidirect
232. #14579137	C₂³	semidirect
233. #14579137	C₂³	semidirect
234. #14579137	C₂³	semidirect
237. #14579136	C₂³	semidirect
238. #14579136	C₂³	semidirect
239. #14579136	C₂³	semidirect
240. #14579136	C₂³	semidirect
241. #14579136	C₂³	semidirect
243. #14579135	C₂³	semidirect
246. #14579134	C₂³	semidirect
247. #14579134	C₂³	semidirect
248. #14579134	C₂³	semidirect
249. #14579134	C₂³	semidirect
250. #14579134	C₂³	semidirect
252. #14579133	C₂³	semidirect
253. #14579132	C₂³	semidirect
254. #14579132	C₂³	semidirect
259. #14579131	C₂³	semidirect
260. #14579131	C₂³	semidirect
261. #14579131	C₂³	semidirect
262. #14579131	C₂³	semidirect
263. #14579131	C₂³	semidirect
267. #14579129	C₂³	semidirect
268. #14579129	C₂³	semidirect
269. #14579129	C₂³	semidirect
270. C₄×Dic₁₅₈	C₂³	semidirect
271. #14579126	C₂³	semidirect
274. C₄×D₃₁₆	C₂³	semidirect
275. C₄×D₃₁₆	C₂³	semidirect
276. C₄×D₃₁₆	C₂³	semidirect
277. C₄×D₃₁₆	C₂³	semidirect
278. C₄×D₃₁₆	C₂³	semidirect
279. C₄×D₃₁₆	C₂³	semidirect
280. C₄×D₃₁₆	C₂³	semidirect
281. C₄×D₃₁₆	C₂³	semidirect
283. D₄×Dic₇₉	C₂³	semidirect
285. #14579123	C₂³	semidirect
286. #14579123	C₂³	semidirect
287. #14579123	C₂³	semidirect
288. #14579123	C₂³	semidirect
289. #14579123	C₂³	semidirect
290. #14579123	C₂³	semidirect
292. C₄×C₂²⋊D₇₉	C₂³	semidirect
293. C₄×C₂²⋊D₇₉	C₂³	semidirect
294. C₄×C₂²⋊D₇₉	C₂³	semidirect
295. C₄×C₂²⋊D₇₉	C₂³	semidirect
297. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
298. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
299. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
300. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
301. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
302. #14579120	C₂³	semidirect
303. #14579120	C₂³	semidirect
304. #14579119	C₂³	semidirect
305. #14579119	C₂³	semidirect
306. #14579119	C₂³	semidirect
307. #14579119	C₂³	semidirect
308. #14579118	C₂³	semidirect
309. #14579118	C₂³	semidirect
310. #14579118	C₂³	semidirect
311. #14579117	C₂³	semidirect
312. #14579117	C₂³	semidirect
313. #14579117	C₂³	semidirect
314. C₂×C₄⋊Dic₇₉	C₂³	semidirect
315. C₂×Dic₇₉⋊C₄	C₂³	semidirect
316. C₄⋊C₄×D₇₉	C₂³	semidirect
317. C₄⋊C₄×D₇₉	C₂³	semidirect
318. C₄⋊C₄×D₇₉	C₂³	semidirect
319. C₄⋊C₄×D₇₉	C₂³	semidirect
323. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
327. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
328. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
329. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
330. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
331. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
332. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
341. C₂²⋊C₄×D₇₉	C₂³	semidirect
342. C₂²⋊C₄×D₇₉	C₂³	semidirect
343. C₂²⋊C₄×D₇₉	C₂³	semidirect
344. C₂²⋊C₄×D₇₉	C₂³	semidirect
345. C₂²⋊C₄×D₇₉	C₂³	semidirect
346. C₂²⋊C₄×D₇₉	C₂³	semidirect
347. C₂²⋊C₄×D₇₉	C₂³	semidirect
348. C₂×C₄×Dic₇₉	C₂³	semidirect
349. C₄²×D₇₉	C₂³	semidirect
352. #126×C₇₉	C₂³	semidirect
353. #126×C₇₉	C₂³	semidirect
354. #125×C₇₉	C₂³	semidirect
355. #125×C₇₉	C₂³	semidirect
356. #124×C₇₉	C₂³	semidirect
359. #123×C₇₉	C₂³	semidirect
360. #123×C₇₉	C₂³	semidirect
361. #123×C₇₉	C₂³	semidirect
362. C₂²⋊Q₈×C₇₉	C₂³	semidirect
363. C₂²⋊Q₈×C₇₉	C₂³	semidirect
364. C₂²⋊Q₈×C₇₉	C₂³	semidirect
367. C₄×Q₈×C₇₉	C₂³	semidirect
369. C₄×D₄×C₇₉	C₂³	semidirect
370. C₄×D₄×C₇₉	C₂³	semidirect
371. #117×C₇₉	C₂³	semidirect
372. #117×C₇₉	C₂³	semidirect
373. #117×C₇₉	C₂³	semidirect
374. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
375. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
379. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
380. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
381. C₂×C₄²×C₇₉	C₂³	semidirect
387. C₂³×D₇₉	#41	semidirect
695. #3491	D₇₉	semidirect
707. C₇₉	#62844	semidirect
723. #552	C₂×D₇₉	semidirect
735. #551	C₂×D₇₉	semidirect
750. #543	C₂×D₇₉	semidirect
757. #539	C₂×D₇₉	semidirect
783. #529	C₂×D₇₉	semidirect
794. C₂×#123	C₂×D₇₉	semidirect
813. #518	C₂×D₇₉	semidirect
822. C₂×#117	C₂×D₇₉	semidirect
873. #126	C₂²×D₇₉	semidirect
874. #126	C₂²×D₇₉	semidirect
880. #125	C₂²×D₇₉	semidirect
881. #125	C₂²×D₇₉	semidirect
888. #124	C₂²×D₇₉	semidirect
914. #123	C₂²×D₇₉	semidirect
915. #123	C₂²×D₇₉	semidirect
916. #123	C₂²×D₇₉	semidirect
935. C₂²⋊Q₈	C₂²×D₇₉	semidirect
936. C₂²⋊Q₈	C₂²×D₇₉	semidirect
937. C₂²⋊Q₈	C₂²×D₇₉	semidirect
977. C₄×Q₈	C₂²×D₇₉	semidirect
1009. C₄×D₄	C₂²×D₇₉	semidirect
1010. C₄×D₄	C₂²×D₇₉	semidirect
1023. #117	C₂²×D₇₉	semidirect
1024. #117	C₂²×D₇₉	semidirect
1025. #117	C₂²×D₇₉	semidirect
1032. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1033. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1065. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1066. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1069. C₂×C₄²	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777240	2
#23777235	2
#23777232	2
#23777231	2
#23777098	2
#23777096	2
#23777095	2
#23777090	2
#23777088	2
#23777085	2
#23777084	2
#23776810	2
#23776808	2
#543×D₇₉	2
C₂×#19099124	2
#534×D₇₉	2
C₂×#19099037	2
#518×D₇₉	2
C₇₉×#3491	2
#62844	79