Subgroups — #35197280

Order 20224.

11770 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14579207	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×H(5,𝔽₂)×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777160	C₂	1	8	yes	maximal, complemented
4	#23777158	C₂	1	8	yes	maximal, complemented
5	#23777044	C₂	1	1	yes	maximal, characteristic, complemented
6	#23777043	C₂	1	2	yes	maximal, complemented
7	#23777039	C₂	1	8	yes	maximal, complemented
8	#23777038	C₂	1	4	yes	maximal, complemented
9	#23777036	C₂	1	1	yes	maximal, characteristic, complemented
10	#23777033	C₂	1	2	yes	maximal, complemented
11	#23777032	C₂	1	4	yes	maximal, complemented
12	#23777031	C₂	1	1	yes	maximal, characteristic, complemented
13	#23777030	C₂	1	8	yes	maximal, complemented
14	#23776732	C₂	1	2	yes	maximal, complemented
15	#23776730	C₂	1	2	yes	maximal, complemented
16	C₂×#19099124	C₂	1	4	yes	maximal, complemented
17	#534×D₇₉	C₂	1	4	yes	maximal, complemented
18	#518×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₉×#3485	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14579207	—	2	16	no	—
21	C₂×#14579207	C₂²	1	8	yes	complemented
22	C₂×#14579207	C₂²	1	2	yes	complemented
23	C₂×#14579207	C₂²	1	4	yes	complemented
24	C₂×#14579207	C₂²	1	8	yes	complemented
25	C₂×#14579206	C₂²	1	4	yes	complemented
26	C₂×#14579206	C₂²	1	1	yes	characteristic, complemented
27	C₂×#14579206	C₂²	1	4	yes	complemented
28	H(5,𝔽₂)×D₇₉	—	2	16	no	—
29	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11929625	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11929624	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#11929624	C₂²	1	2	yes	complemented
33	C₂×#41×D₇₉	C₂²	1	2	yes	complemented
34	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
35	C₂³×D₃₁₆	C₂²	1	2	yes	complemented
36	C₂³×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₇₉	C₂²	1	4	yes	complemented
39	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
40	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₇₉	C₂²	1	4	yes	complemented
42	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
43	#19099216	C₂²	1	8	yes	complemented
44	#19099215	C₂²	1	8	yes	complemented
45	#19099214	C₂²	1	16	yes	complemented
46	#19099212	C₂²	1	8	yes	complemented
47	#19099211	C₂²	1	16	yes	complemented
48	#19099209	C₂²	1	8	yes	complemented
49	#19099208	C₂²	1	8	yes	complemented
50	#19099206	C₂²	1	8	yes	complemented
51	#19099205	C₂²	1	16	yes	complemented
52	#19099205	C₂²	1	16	yes	complemented
53	#19099204	C₂²	1	8	yes	complemented
54	#19099204	C₂²	1	8	yes	complemented
55	#19099203	C₂²	1	16	yes	complemented
56	#19099202	C₂²	1	16	yes	complemented
57	#19099201	C₂²	1	8	yes	complemented
58	#19099201	C₂²	1	8	yes	complemented
59	D₄×D₃₁₆	C₂²	1	8	yes	complemented
60	D₄×D₃₁₆	C₂²	1	8	yes	complemented
61	#19099197	C₂²	1	16	yes	complemented
62	#19099197	C₂²	1	8	yes	complemented
63	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
64	#19099195	C₂²	1	16	yes	complemented
65	#19099143	C₂²	1	4	yes	complemented
66	#19099143	C₂²	1	8	yes	complemented
67	#19099142	C₂²	1	4	yes	complemented
68	#19099138	C₂²	1	4	yes	complemented
69	#19099137	C₂²	1	2	yes	complemented
70	#19099136	C₂²	1	4	yes	complemented
71	#19099135	C₂²	1	4	yes	complemented
72	#19099132	C₂²	1	2	yes	complemented
73	#19099131	C₂²	1	4	yes	complemented
74	#19099129	C₂²	1	4	yes	complemented
75	#19099128	C₂²	1	4	yes	complemented
76	#19099127	C₂²	1	2	yes	complemented
77	#19099125	C₂²	1	4	yes	complemented
78	#19099124	C₂²	1	8	yes	complemented
79	#19099124	C₂²	1	4	yes	complemented
80	#19099124	C₂²	1	8	yes	complemented
81	#19099124	C₂²	1	8	yes	complemented
82	#19099124	C₂²	1	16	yes	complemented
83	#19099124	C₂²	1	8	yes	complemented
84	#19099124	C₂²	1	16	yes	complemented
85	#19099123	C₂²	1	4	yes	complemented
86	#19099123	C₂²	1	8	yes	complemented
87	#19099122	C₂²	1	4	yes	complemented
88	#19099122	C₂²	1	4	yes	complemented
89	#19099121	C₂²	1	16	yes	complemented
90	#19099114	C₂²	1	4	yes	complemented
91	#19099112	C₂²	1	4	yes	complemented
92	#19099110	C₂²	1	8	yes	complemented
93	#19099076	C₂²	1	8	yes	complemented
94	#19099075	C₂²	1	2	yes	complemented
95	#19099074	C₂²	1	2	yes	complemented
96	#19099072	C₂²	1	8	yes	complemented
97	#19099071	C₂²	1	8	yes	complemented
98	#19099070	C₂²	1	2	yes	complemented
99	C₂×#14579146	C₂²	1	8	yes	complemented
100	C₂×#14579144	C₂²	1	4	yes	complemented
101	#123×D₇₉	C₂²	1	8	yes	complemented
102	#123×D₇₉	C₂²	1	8	yes	complemented
103	C₂×#14579136	C₂²	1	8	yes	complemented
104	C₂×#14579134	C₂²	1	8	yes	complemented
105	#121×D₇₉	C₂²	1	16	yes	complemented
106	C₂×#14579131	C₂²	1	4	yes	complemented
107	C₂×#14579131	C₂²	1	8	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	#19099038	C₂²	1	1	yes	characteristic, complemented
112	#19099037	C₂²	1	2	yes	complemented
113	#19099036	C₂²	1	4	yes	complemented
114	#19099035	C₂²	1	8	yes	complemented
115	C₄×D₄×D₇₉	C₂²	1	8	yes	complemented
116	#117×D₇₉	C₂²	1	2	yes	complemented
117	C₂×C₂²⋊C₄×D₇₉	C₂²	1	4	yes	complemented
118	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	1	yes	characteristic, complemented
119	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
120	#547×C₇₉	C₂²	1	8	yes	complemented
121	#546×C₇₉	C₂²	1	8	yes	complemented
122	#536×C₇₉	C₂²	1	2	yes	complemented
123	#534×C₇₉	C₂²	1	4	yes	complemented
124	#525×C₇₉	C₂²	1	2	yes	complemented
125	C₂×#123×C₇₉	C₂²	1	4	yes	complemented
126	#518×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₇₉	C₂³	1	2	yes	—
128	C₂⁴×D₇₉	C₂³	1	2	yes	complemented
129	C₂⁴×D₇₉	C₂³	1	4	yes	complemented
130	C₂⁴×D₇₉	C₂³	1	2	yes	complemented
131	#14579207	—	2	16	no	—
132	#14579207	—	2	32	no	—
133	#14579207	—	2	64	no	—
134	#14579207	—	2	64	no	—
135	#14579206	—	2	8	no	—
136	#14579206	—	2	32	no	—
137	#14579206	—	2	32	no	—
138	C₂×#11929625	—	2	8	no	—
139	C₂×#11929625	—	2	8	no	—
140	C₂×#11929625	C₂³	1	4	yes	—
141	C₂×#11929625	C₂³	1	4	yes	complemented
142	C₂×#11929625	C₂³	1	2	yes	complemented
143	C₂×#11929625	C₂³	1	4	yes	complemented
144	C₂×#11929625	C₂³	1	8	yes	complemented
145	C₂×#11929624	—	2	16	no	—
146	C₂×#11929624	—	2	8	no	—
147	C₂×#11929624	C₂³	1	4	yes	—
148	C₂×#11929624	C₂³	1	2	yes	—
149	C₂×#11929624	C₂³	1	4	yes	complemented
150	C₂×#11929624	C₂³	1	8	yes	complemented
151	C₂×#11929624	C₂³	1	4	yes	complemented
152	C₂×#11929624	C₂³	1	4	yes	complemented
153	C₂×#11929624	C₂³	1	16	yes	complemented
154	C₂×#11929623	C₂³	1	4	yes	—
155	C₂×#11929623	C₂³	1	2	yes	complemented
156	C₂×#11929623	C₂³	1	8	yes	complemented
157	C₂×#11929623	C₂³	1	4	yes	complemented
158	#41×D₇₉	—	2	32	no	—
159	#41×D₇₉	—	2	16	no	—
160	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic, complemented
161	C₂×Q₈×D₇₉	C₂³	1	2	yes	complemented
162	C₂²×D₃₁₆	—	2	16	no	—
163	C₂²×D₃₁₆	—	2	8	no	—
164	C₂²×D₃₁₆	C₂³	1	8	yes	—
165	C₂²×D₃₁₆	C₂³	1	2	yes	—
166	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
167	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
168	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
169	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
170	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
171	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
172	C₂²×D₃₁₆	C₂³	1	2	yes	complemented
173	C₂²×D₃₁₆	C₂³	1	2	yes	complemented
174	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic, complemented
175	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
176	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
177	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
180	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
181	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	complemented
182	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic, complemented
183	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
184	C₂×D₄×D₇₉	—	2	8	no	—
185	C₂×D₄×D₇₉	—	2	32	no	—
186	C₂×D₄×D₇₉	—	2	16	no	—
187	C₂×D₄×D₇₉	—	2	16	no	—
188	C₂×D₄×D₇₉	—	2	32	no	—
189	C₂×D₄×D₇₉	D₄	1	16	yes	complemented
190	C₂×D₄×D₇₉	C₂³	1	8	yes	—
191	C₂×D₄×D₇₉	C₂³	1	8	yes	—
192	C₂×D₄×D₇₉	C₂³	1	4	yes	—
193	C₂×D₄×D₇₉	C₂³	1	4	yes	—
194	C₂×D₄×D₇₉	C₂³	1	4	yes	—
195	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
196	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
197	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
198	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
199	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
200	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
201	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
202	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
203	C₂×D₄×D₇₉	C₂³	1	2	yes	complemented
204	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
205	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
207	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
208	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic, complemented
209	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
210	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
211	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
212	#14579160	C₂³	1	8	yes	complemented
213	#14579159	C₂³	1	4	yes	complemented
214	#14579158	C₂³	1	4	yes	complemented
215	#14579157	C₂³	1	8	yes	complemented
216	#14579157	C₂³	1	4	yes	complemented
217	#14579150	C₂³	1	4	yes	complemented
218	#14579150	C₂³	1	4	yes	complemented
219	#14579149	C₂³	1	4	yes	complemented
220	#14579147	C₂³	1	8	yes	complemented
221	#14579147	C₂³	1	8	yes	complemented
222	#14579146	C₂³	1	8	yes	complemented
223	#14579146	C₂³	1	16	yes	complemented
224	#14579146	C₂³	1	16	yes	complemented
225	#14579146	C₂³	1	16	yes	complemented
226	#14579146	C₂³	1	16	yes	complemented
227	#14579145	C₂³	1	8	yes	complemented
228	#14579145	C₂³	1	4	yes	complemented
229	#14579144	C₂³	1	8	yes	complemented
230	#14579144	C₂³	1	8	yes	complemented
231	#14579144	C₂³	1	16	yes	complemented
232	#14579144	C₂³	1	4	yes	complemented
233	#14579143	C₂³	1	8	yes	complemented
234	#14579143	C₂³	1	16	yes	complemented
235	#14579142	C₂³	1	8	yes	complemented
236	#14579142	C₂³	1	4	yes	complemented
237	#14579141	C₂³	1	4	yes	complemented
238	#14579140	C₂³	1	4	yes	complemented
239	#14579139	C₂³	1	16	yes	complemented
240	#14579139	C₂³	1	8	yes	complemented
241	#14579138	C₂³	1	8	yes	complemented
242	#14579137	C₂³	1	4	yes	complemented
243	#14579137	C₂³	1	8	yes	complemented
244	#14579136	C₂³	1	8	yes	complemented
245	#14579136	C₂³	1	4	yes	complemented
246	#14579136	C₂³	1	16	yes	complemented
247	#14579136	C₂³	1	8	yes	complemented
248	#14579136	C₂³	1	16	yes	complemented
249	#14579136	C₂³	1	16	yes	complemented
250	#14579135	C₂³	1	8	yes	complemented
251	#14579135	C₂³	1	4	yes	complemented
252	#14579135	C₂³	1	16	yes	complemented
253	#14579134	C₂³	1	8	yes	complemented
254	#14579134	C₂³	1	16	yes	complemented
255	#14579134	C₂³	1	8	yes	complemented
256	#14579134	C₂³	1	8	yes	complemented
257	#14579134	C₂³	1	16	yes	complemented
258	#14579134	C₂³	1	16	yes	complemented
259	#14579134	C₂³	1	16	yes	complemented
260	#14579133	C₂³	1	8	yes	complemented
261	#14579133	C₂³	1	16	yes	complemented
262	#14579133	C₂³	1	16	yes	complemented
263	#14579132	C₂³	1	4	yes	complemented
264	#14579132	C₂³	1	8	yes	complemented
265	#14579131	C₂³	1	16	yes	complemented
266	#14579131	C₂³	1	16	yes	complemented
267	#14579131	C₂³	1	16	yes	complemented
268	#14579131	C₂³	1	16	yes	complemented
269	#14579131	C₂³	1	8	yes	complemented
270	#14579131	C₂³	1	8	yes	complemented
271	#14579131	C₂³	1	16	yes	complemented
272	#14579131	C₂³	1	8	yes	complemented
273	#14579131	C₂³	1	4	yes	complemented
274	#14579130	C₂³	1	8	yes	complemented
275	#14579130	C₂³	1	4	yes	complemented
276	#14579129	C₂³	1	16	yes	complemented
277	#14579129	C₂³	1	16	yes	complemented
278	#14579129	C₂³	1	8	yes	complemented
279	#14579129	C₂³	1	8	yes	complemented
280	#14579129	C₂³	1	8	yes	complemented
281	#14579129	C₂³	1	4	yes	complemented
282	C₄×D₃₁₆	C₂³	1	8	yes	complemented
283	C₄×D₃₁₆	C₂³	1	8	yes	complemented
284	D₄×Dic₇₉	C₂³	1	8	yes	complemented
285	#14579123	C₂³	1	8	yes	complemented
286	#14579123	C₂³	1	16	yes	complemented
287	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
288	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
289	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
290	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
291	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
292	#14579120	C₂³	1	2	yes	complemented
293	#14579119	C₂³	1	4	yes	complemented
294	#14579118	C₂³	1	4	yes	complemented
295	#14579117	C₂³	1	4	yes	complemented
296	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
297	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
298	C₄⋊C₄×D₇₉	C₂³	1	16	yes	complemented
299	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	complemented
300	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
301	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
302	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
303	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
304	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
305	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
306	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
307	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
308	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
309	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
310	C₄²×D₇₉	C₂³	1	4	yes	complemented
311	H(5,𝔽₂)×C₇₉	—	2	8	no	—
312	C₂×#41×C₇₉	—	2	8	no	—
313	C₂×#41×C₇₉	C₂³	1	2	yes	—
314	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
315	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
316	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic, complemented
317	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
318	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₇₉	C₂³	1	4	yes	complemented
320	C₂²×D₄×C₇₉	C₂³	1	2	yes	complemented
321	C₂³×C₄×C₇₉	C₂³	1	2	yes	complemented
322	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic, complemented
323	C₄⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
324	#124×C₇₉	C₂³	1	4	yes	complemented
325	#123×C₇₉	C₂³	1	8	yes	complemented
326	#123×C₇₉	C₂³	1	16	yes	complemented
327	#123×C₇₉	C₂³	1	4	yes	complemented
328	#123×C₇₉	C₂³	1	8	yes	complemented
329	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
330	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
331	#121×C₇₉	C₂³	1	4	yes	complemented
332	#121×C₇₉	C₂³	1	16	yes	complemented
333	#120×C₇₉	C₂³	1	8	yes	complemented
334	#120×C₇₉	C₂³	1	4	yes	complemented
335	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
336	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
337	#117×C₇₉	C₂³	1	2	yes	complemented
338	C₂×C₄⋊C₄×C₇₉	C₂³	1	8	yes	complemented
339	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
340	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
341	C₂³×D₇₉	—	2	8	no	—
342	C₂³×D₇₉	—	2	16	no	—
343	C₂³×D₇₉	—	2	8	no	—
344	C₂³×D₇₉	—	8	4	no	—
345	C₂³×D₇₉	—	8	8	no	—
346	C₂³×D₇₉	—	8	4	no	—
347	C₂³×D₇₉	—	8	4	no	—
348	C₂³×D₇₉	C₂×D₄	1	16	yes	complemented
349	C₂³×D₇₉	C₂⁴	1	2	yes	—
350	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
351	C₂³×D₇₉	C₂⁴	1	4	yes	—
352	C₂³×D₇₉	C₂⁴	1	8	yes	—
353	C₂³×D₇₉	C₂⁴	1	8	yes	—
354	C₂³×D₇₉	C₂⁴	1	4	yes	—
355	C₂³×D₇₉	C₂⁴	1	8	yes	—
356	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
357	C₂³×D₇₉	C₂⁴	1	2	yes	—
358	C₂³×D₇₉	C₂⁴	1	4	yes	—
359	C₂³×D₇₉	C₂⁴	1	4	yes	—
360	#11929625	—	2	16	no	—
361	#11929625	—	2	32	no	—
362	#11929625	—	2	8	no	—
363	#11929625	—	2	16	no	—
364	#11929625	—	2	16	no	—
365	#11929624	—	2	16	no	—
366	#11929624	—	2	16	no	—
367	#11929624	—	2	16	no	—
368	#11929624	—	2	16	no	—
369	#11929624	—	2	8	no	—
370	#11929624	—	2	32	no	—
371	#11929624	—	2	64	no	—
372	#11929623	—	2	16	no	—
373	#11929623	—	2	8	no	—
374	#11929623	—	2	16	no	—
375	#11929623	—	2	32	no	—
376	C₂×Dic₁₅₈	—	2	4	no	—
377	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
378	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
379	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
380	Q₈×D₇₉	—	2	8	no	—
381	C₂×D₃₁₆	—	2	16	no	—
382	C₂×D₃₁₆	—	2	32	no	—
383	C₂×D₃₁₆	—	2	4	no	—
384	C₂×D₃₁₆	—	2	8	no	—
385	C₂×D₃₁₆	—	2	8	no	—
386	C₂×D₃₁₆	—	2	8	no	—
387	C₂×D₃₁₆	—	2	16	no	—
388	C₂×D₃₁₆	—	2	32	no	—
389	C₂×D₃₁₆	—	2	32	no	—
390	C₂×D₃₁₆	—	2	4	no	—
391	C₂×D₃₁₆	—	8	8	no	—
392	C₂×D₃₁₆	C₂×D₄	1	8	yes	complemented
393	C₂×D₃₁₆	C₂⁴	1	2	yes	—
394	C₂×D₃₁₆	C₂⁴	1	2	yes	—
395	C₂×D₃₁₆	C₂⁴	1	8	yes	—
396	C₂×D₃₁₆	C₂⁴	1	2	yes	—
397	C₂×D₃₁₆	C₂⁴	1	8	yes	—
398	C₂×D₃₁₆	C₂⁴	1	4	yes	—
399	C₂×D₃₁₆	C₂⁴	1	4	yes	—
400	C₂×D₃₁₆	C₂⁴	1	4	yes	—
401	C₂×D₃₁₆	C₂⁴	1	8	yes	—
402	C₂×D₃₁₆	C₂⁴	1	4	yes	—
403	C₂×D₃₁₆	C₂⁴	1	16	yes	—
404	C₂×D₃₁₆	C₂⁴	1	8	yes	—
405	C₂×D₃₁₆	C₂⁴	1	4	yes	—
406	C₂×C₂²⋊D₇₉	—	2	4	no	—
407	C₂×C₂²⋊D₇₉	—	2	8	no	—
408	C₂×C₂²⋊D₇₉	—	2	16	no	—
409	C₂×C₂²⋊D₇₉	—	2	4	no	—
410	C₂×C₂²⋊D₇₉	—	2	16	no	—
411	C₂×C₂²⋊D₇₉	—	2	32	no	—
412	C₂×C₂²⋊D₇₉	—	8	8	no	—
413	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
414	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
417	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
419	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
420	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
421	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₇₉	C₂⁴	1	2	yes	—
423	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
424	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
425	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
426	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
427	D₄×D₇₉	—	2	16	no	—
428	D₄×D₇₉	—	2	8	no	—
429	D₄×D₇₉	—	2	16	no	—
430	D₄×D₇₉	—	2	32	no	—
431	D₄×D₇₉	—	2	32	no	—
432	D₄×D₇₉	—	2	32	no	—
433	D₄×D₇₉	—	2	32	no	—
434	D₄×D₇₉	—	2	32	no	—
435	D₄×D₇₉	—	2	16	no	—
436	D₄×D₇₉	—	2	32	no	—
437	D₄×D₇₉	—	2	32	no	—
438	D₄×D₇₉	—	2	64	no	—
439	D₄×D₇₉	—	8	16	no	—
440	D₄×D₇₉	C₂×D₄	1	32	yes	complemented
441	D₄×D₇₉	C₂×D₄	1	32	yes	complemented
442	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
444	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
445	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
446	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×D₇₉	—	2	8	no	—
448	C₂×C₄×D₇₉	—	2	16	no	—
449	C₂×C₄×D₇₉	—	2	16	no	—
450	C₂×C₄×D₇₉	—	2	8	no	—
451	C₂×C₄×D₇₉	—	2	4	no	—
452	C₂×C₄×D₇₉	—	8	8	no	—
453	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
454	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
455	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
456	C₂×C₄×D₇₉	C₂⁴	1	4	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	8	yes	—
462	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
463	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
464	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
465	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
466	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
467	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
468	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
469	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
470	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
475	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
477	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
479	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
480	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	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	C₄×Dic₇₉	C₂⁴	1	8	yes	—
485	C₄×Dic₇₉	C₂⁴	1	4	yes	—
486	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
487	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
488	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
489	#41×C₇₉	—	2	16	no	—
490	#41×C₇₉	—	2	32	no	—
491	#41×C₇₉	—	2	8	no	—
492	C₂×Q₈×C₇₉	—	2	4	no	—
493	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
494	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
495	C₂×D₄×C₇₉	—	2	16	no	—
496	C₂×D₄×C₇₉	—	2	8	no	—
497	C₂×D₄×C₇₉	—	2	16	no	—
498	C₂×D₄×C₇₉	C₂×D₄	1	8	yes	complemented
499	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
500	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
501	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
502	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
503	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
504	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
505	C₂²×C₄×C₇₉	—	2	8	no	—
506	C₂²×C₄×C₇₉	—	2	4	no	—
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
510	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
515	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
516	C₄⋊C₄×C₇₉	C₂⁴	1	16	yes	—
517	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
518	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
520	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
522	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₄²×C₇₉	C₂⁴	1	4	yes	—
524	C₂³×C₇₉	—	2	2	no	—
525	C₂³×C₇₉	—	2	8	no	—
526	C₂³×C₇₉	—	4	4	no	—
527	C₂³×C₇₉	—	4	2	no	—
528	C₂³×C₇₉	—	4	8	no	—
529	C₂³×C₇₉	C₂²×D₄	1	8	yes	—
530	C₂³×C₇₉	C₂⁵	1	2	yes	—
531	C₂³×C₇₉	C₂⁵	1	4	yes	—
532	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
533	C₂³×C₇₉	C₂⁵	1	4	yes	—
534	C₂²×D₇₉	—	2	4	no	—
535	C₂²×D₇₉	—	2	2	no	—
536	C₂²×D₇₉	—	2	8	no	—
537	C₂²×D₇₉	—	2	16	no	—
538	C₂²×D₇₉	—	2	8	no	—
539	C₂²×D₇₉	—	2	16	no	—
540	C₂²×D₇₉	—	2	16	no	—
541	C₂²×D₇₉	—	4	8	no	—
542	C₂²×D₇₉	—	4	8	no	—
543	C₂²×D₇₉	—	4	2	no	—
544	C₂²×D₇₉	—	4	8	no	—
545	C₂²×D₇₉	—	4	4	no	—
546	C₂²×D₇₉	—	4	2	no	—
547	C₂²×D₇₉	—	4	4	no	—
548	C₂²×D₇₉	—	4	16	no	—
549	C₂²×D₇₉	—	4	16	no	—
550	C₂²×D₇₉	—	4	8	no	—
551	C₂²×D₇₉	—	4	8	no	—
552	C₂²×D₇₉	—	4	8	no	—
553	C₂²×D₇₉	—	8	16	no	—
554	C₂²×D₇₉	—	8	32	no	—
555	C₂²×D₇₉	—	8	16	no	—
556	C₂²×D₇₉	—	8	16	no	—
557	C₂²×D₇₉	C₂²×D₄	1	16	yes	—
558	C₂²×D₇₉	C₂²×D₄	1	8	yes	—
559	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
560	C₂²×D₇₉	C₂²×D₄	1	16	yes	—
561	C₂²×D₇₉	C₂⁵	1	4	yes	—
562	C₂²×D₇₉	C₂⁵	1	2	yes	—
563	C₂²×D₇₉	C₂⁵	1	4	yes	—
564	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
565	C₂²×D₇₉	C₂⁵	1	4	yes	—
566	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
567	Q₈×C₇₉	—	2	4	no	—
568	Q₈×C₇₉	—	2	8	no	—
569	D₄×C₇₉	—	2	16	no	—
570	D₄×C₇₉	—	2	16	no	—
571	D₄×C₇₉	—	2	8	no	—
572	D₄×C₇₉	—	2	4	no	—
573	D₄×C₇₉	—	4	8	no	—
574	D₄×C₇₉	C₂²×D₄	1	16	yes	—
575	C₂×C₄×C₇₉	—	2	4	no	—
576	C₂×C₄×C₇₉	—	2	8	no	—
577	C₂×C₄×C₇₉	—	2	2	no	—
578	C₂×C₄×C₇₉	—	2	16	no	—
579	C₂×C₄×C₇₉	—	2	8	no	—
580	C₂×C₄×C₇₉	—	2	8	no	—
581	C₂×C₄×C₇₉	—	4	8	no	—
582	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
583	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
584	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
585	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
586	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
587	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
588	C₂²⋊D₇₉	—	2	16	no	—
589	C₂²⋊D₇₉	—	2	16	no	—
590	C₂²⋊D₇₉	—	2	8	no	—
591	C₂²⋊D₇₉	—	2	4	no	—
592	C₂²⋊D₇₉	—	2	4	no	—
593	C₂²⋊D₇₉	—	2	8	no	—
594	C₂²⋊D₇₉	—	2	16	no	—
595	C₂²⋊D₇₉	—	2	8	no	—
596	C₂²⋊D₇₉	—	2	8	no	—
597	C₂²⋊D₇₉	—	4	8	no	—
598	C₂²⋊D₇₉	—	4	16	no	—
599	C₂²⋊D₇₉	—	4	8	no	—
600	C₂²⋊D₇₉	C₂²×D₄	1	32	yes	—
601	C₂×Dic₇₉	—	2	2	no	—
602	C₂×Dic₇₉	—	2	8	no	—
603	C₂×Dic₇₉	—	2	8	no	—
604	C₂×Dic₇₉	—	4	8	no	—
605	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
606	C₂×Dic₇₉	C₂⁵	1	8	yes	—
607	C₂×Dic₇₉	C₂⁵	1	4	yes	—
608	C₂×Dic₇₉	C₂⁵	1	2	yes	—
609	C₂×Dic₇₉	C₂⁵	1	2	yes	—
610	D₃₁₆	—	2	8	no	—
611	D₃₁₆	—	2	16	no	—
612	D₃₁₆	—	2	8	no	—
613	D₃₁₆	—	2	16	no	—
614	D₃₁₆	—	2	8	no	—
615	D₃₁₆	—	2	4	no	—
616	D₃₁₆	—	2	16	no	—
617	D₃₁₆	—	2	4	no	—
618	D₃₁₆	—	2	4	no	—
619	D₃₁₆	—	2	8	no	—
620	D₃₁₆	—	4	16	no	—
621	D₃₁₆	—	4	8	no	—
622	D₃₁₆	C₂²×D₄	1	16	yes	—
623	C₄×D₇₉	—	2	8	no	—
624	C₄×D₇₉	—	2	16	no	—
625	C₄×D₇₉	—	2	16	no	—
626	C₄×D₇₉	—	2	8	no	—
627	C₄×D₇₉	—	2	8	no	—
628	C₄×D₇₉	—	2	8	no	—
629	C₄×D₇₉	—	2	16	no	—
630	C₄×D₇₉	—	4	8	no	—
631	C₄×D₇₉	—	4	16	no	—
632	C₄×D₇₉	C₂²×D₄	1	8	yes	—
633	C₄×D₇₉	C₂²×D₄	1	8	yes	—
634	Dic₁₅₈	—	2	4	no	—
635	Dic₁₅₈	—	2	8	no	—
636	Dic₁₅₈	—	2	8	no	—
637	C₂²×C₇₉	—	2	8	no	—
638	C₂²×C₇₉	—	2	2	no	—
639	C₂²×C₇₉	—	2	2	no	—
640	C₂²×C₇₉	—	2	4	no	—
641	C₂²×C₇₉	—	2	8	no	—
642	C₂²×C₇₉	—	2	4	no	—
643	C₂²×C₇₉	—	4	8	no	—
644	C₂²×C₇₉	—	4	4	no	—
645	C₂²×C₇₉	—	8	8	no	—
646	C₂²×C₇₉	C₂³×D₄	1	8	yes	—
647	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
648	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
649	C₂×D₇₉	—	2	2	no	—
650	C₂×D₇₉	—	2	8	no	—
651	C₂×D₇₉	—	2	2	no	—
652	C₂×D₇₉	—	2	4	no	—
653	C₂×D₇₉	—	2	4	no	—
654	C₂×D₇₉	—	2	2	no	—
655	C₂×D₇₉	—	2	2	no	—
656	C₂×D₇₉	—	2	8	no	—
657	C₂×D₇₉	—	2	8	no	—
658	C₂×D₇₉	—	2	2	no	—
659	C₂×D₇₉	—	4	4	no	—
660	C₂×D₇₉	—	4	16	no	—
661	C₂×D₇₉	—	4	8	no	—
662	C₂×D₇₉	—	4	16	no	—
663	C₂×D₇₉	—	4	16	no	—
664	C₂×D₇₉	—	4	4	no	—
665	C₂×D₇₉	—	4	8	no	—
666	C₂×D₇₉	—	8	16	no	—
667	C₂×D₇₉	—	8	16	no	—
668	C₂×D₇₉	—	8	8	no	—
669	C₂×D₇₉	—	8	16	no	—
670	C₂×D₇₉	C₂³×D₄	1	2	yes	—
671	C₂×D₇₉	C₂³×D₄	1	8	yes	—
672	C₂×D₇₉	C₂³×D₄	1	2	yes	—
673	C₄×C₇₉	—	2	2	no	—
674	C₄×C₇₉	—	2	4	no	—
675	C₄×C₇₉	—	2	4	no	—
676	C₄×C₇₉	—	2	8	no	—
677	C₄×C₇₉	C₂³×D₄	1	4	yes	—
678	Dic₇₉	—	2	2	no	—
679	Dic₇₉	—	2	4	no	—
680	Dic₇₉	—	2	8	no	—
681	Dic₇₉	C₂³×D₄	1	4	yes	—
682	#62842	—	79	1	no	maximal, Sylow
683	C₂×C₇₉	—	2	2	no	—
684	C₂×C₇₉	—	2	8	no	—
685	C₂×C₇₉	—	4	4	no	—
686	C₂×C₇₉	—	4	2	no	—
687	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
688	C₂×C₇₉	H(7,𝔽₂)	1	2	yes	—
689	D₇₉	—	2	2	no	—
690	D₇₉	—	2	2	no	—
691	D₇₉	—	2	8	no	—
692	D₇₉	—	4	4	no	—
693	D₇₉	—	4	2	no	—
694	D₇₉	—	4	4	no	—
695	C₂²×H(5,𝔽₂)	—	79	1	no	—
696	C₂²×H(5,𝔽₂)	—	79	1	no	—
697	#3496	—	79	8	no	—
698	#3496	—	79	8	no	—
699	#3485	—	79	1	no	—
700	#3485	—	79	8	no	—
701	#3485	—	79	2	no	—
702	#3485	—	79	4	no	—
703	#3485	D₇₉	1	1	yes	characteristic, complemented
704	#3484	—	79	1	no	—
705	#3484	—	79	8	no	—
706	#3484	—	79	4	no	—
707	#3484	—	79	2	no	—
708	#3484	—	79	1	no	—
709	#3449	—	79	2	no	—
710	#3449	—	79	2	no	—
711	C₂×#534	—	79	4	no	—
712	C₂×#534	—	79	4	no	—
713	C₂×#518	—	79	1	no	—
714	C₇₉	#62842	1	1	yes	characteristic, complemented, Sylow
715	C₂×H(5,𝔽₂)	—	79	2	no	—
716	C₂×H(5,𝔽₂)	—	79	8	no	—
717	C₂×H(5,𝔽₂)	—	79	4	no	—
718	C₂×H(5,𝔽₂)	—	79	8	no	—
719	C₂×H(5,𝔽₂)	—	79	4	no	—
720	C₂×H(5,𝔽₂)	—	79	1	no	—
721	C₂×H(5,𝔽₂)	—	79	4	no	—
722	C₂×H(5,𝔽₂)	—	158	16	no	—
723	C₂×H(5,𝔽₂)	—	158	16	no	—
724	C₂×H(5,𝔽₂)	C₂×D₇₉	1	1	yes	characteristic, complemented
725	C₂²×#41	—	79	2	no	—
726	C₂²×#41	—	79	4	no	—
727	C₂²×#41	—	79	1	no	—
728	C₂²×#41	—	79	1	no	—
729	C₂²×#41	—	79	1	no	—
730	C₂²×#41	—	79	2	no	—
731	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
732	C₂³×D₄	—	79	1	no	—
733	C₂³×D₄	—	79	4	no	—
734	C₂³×D₄	—	79	1	no	—
735	C₂³×D₄	—	79	2	no	—
736	C₂³×D₄	—	79	2	no	—
737	C₂³×D₄	—	79	4	no	—
738	C₂³×D₄	—	79	2	no	—
739	C₂³×D₄	—	79	1	no	—
740	#547	—	79	8	no	—
741	#547	—	79	8	no	—
742	#547	—	79	16	no	—
743	#547	—	79	8	no	—
744	#547	—	79	16	no	—
745	#547	C₂×D₇₉	1	8	yes	complemented
746	#546	—	79	8	no	—
747	#546	—	79	8	no	—
748	#546	—	79	8	no	—
749	#546	—	79	16	no	—
750	#546	—	79	16	no	—
751	#546	—	79	8	no	—
752	#546	—	79	8	no	—
753	#546	—	79	16	no	—
754	#546	—	79	8	no	—
755	#546	—	79	8	no	—
756	#546	—	79	16	no	—
757	#546	C₂×D₇₉	1	8	yes	complemented
758	D₄²	—	79	8	no	—
759	D₄²	—	79	16	no	—
760	D₄²	—	79	8	no	—
761	D₄²	—	79	16	no	—
762	D₄²	—	79	8	no	—
763	D₄²	—	79	8	no	—
764	#537	—	79	8	no	—
765	#537	—	79	4	no	—
766	#537	—	79	4	no	—
767	#536	—	79	2	no	—
768	#536	—	79	4	no	—
769	#536	—	79	4	no	—
770	#536	—	79	4	no	—
771	#536	C₂×D₇₉	1	2	yes	complemented
772	#535	—	79	2	no	—
773	#535	—	79	4	no	—
774	#535	—	79	4	no	—
775	#535	—	79	4	no	—
776	#535	—	79	2	no	—
777	#534	—	79	4	no	—
778	#534	—	79	4	no	—
779	#534	—	79	8	no	—
780	#534	—	79	4	no	—
781	#534	—	79	8	no	—
782	#534	—	79	8	no	—
783	#534	—	79	16	no	—
784	#534	—	79	8	no	—
785	#534	—	79	16	no	—
786	#534	—	79	16	no	—
787	#534	—	79	4	no	—
788	#534	—	79	8	no	—
789	#534	—	79	4	no	—
790	#534	C₂×D₇₉	1	4	yes	complemented
791	#532	—	79	4	no	—
792	#532	—	79	4	no	—
793	#532	—	79	8	no	—
794	#525	—	79	2	no	—
795	#525	—	79	2	no	—
796	#525	—	79	8	no	—
797	#525	—	79	8	no	—
798	#525	—	79	8	no	—
799	#525	—	79	2	no	—
800	#525	C₂×D₇₉	1	2	yes	complemented
801	C₂×#123	—	79	4	no	—
802	C₂×#123	—	79	8	no	—
803	C₂×#123	—	79	8	no	—
804	C₂×#123	—	79	8	no	—
805	C₂×#123	C₂×D₇₉	1	4	yes	complemented
806	C₂×#121	—	79	16	no	—
807	C₂×#121	—	79	8	no	—
808	C₂×#121	—	79	8	no	—
809	C₂×#120	—	79	4	no	—
810	C₂×#120	—	79	8	no	—
811	C₂×#120	—	79	8	no	—
812	C₂×#120	—	79	8	no	—
813	C₂×#120	—	79	4	no	—
814	#518	—	79	1	no	—
815	#518	—	79	8	no	—
816	#518	—	79	2	no	—
817	#518	—	79	4	no	—
818	#518	C₂×D₇₉	1	1	yes	characteristic, complemented
819	C₂×C₄×D₄	—	79	8	no	—
820	C₂×#117	—	79	2	no	—
821	C₂²×C₂²⋊C₄	—	79	4	no	—
822	C₂⁵	—	79	2	no	—
823	C₂⁵	—	79	2	no	—
824	C₂⁵	—	79	4	no	—
825	C₂⁵	—	79	2	no	—
826	H(5,𝔽₂)	—	2	8	no	—
827	H(5,𝔽₂)	—	158	32	no	—
828	H(5,𝔽₂)	—	158	32	no	—
829	H(5,𝔽₂)	—	158	64	no	—
830	H(5,𝔽₂)	—	158	64	no	—
831	H(5,𝔽₂)	—	158	32	no	—
832	H(5,𝔽₂)	—	158	16	no	—
833	H(5,𝔽₂)	—	158	8	no	—
834	C₂×#41	—	2	8	no	—
835	C₂×#41	—	79	4	no	—
836	C₂×#41	—	79	2	no	—
837	C₂×#41	—	79	4	no	—
838	C₂×#41	—	79	4	no	—
839	C₂×#41	—	79	8	no	—
840	C₂×#41	—	79	4	no	—
841	C₂×#41	—	79	2	no	—
842	C₂×#41	—	79	4	no	—
843	C₂×#41	—	79	8	no	—
844	C₂×#41	—	79	4	no	—
845	C₂×#41	—	79	2	no	—
846	C₂×#41	—	79	4	no	—
847	C₂×#41	—	79	4	no	—
848	C₂×#41	—	79	4	no	—
849	C₂×#41	—	79	8	no	—
850	C₂×#41	—	79	16	no	—
851	C₂×#41	—	158	8	no	—
852	C₂×#41	—	158	16	no	—
853	C₂×#41	—	158	8	no	—
854	C₂×#41	—	158	16	no	—
855	C₂×#41	—	158	8	no	—
856	C₂×#41	—	158	32	no	—
857	C₂×#41	C₂²×D₇₉	1	2	yes	—
858	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
859	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
860	C₂²×Q₈	—	79	2	no	—
861	C₂²×Q₈	—	79	1	no	—
862	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic, complemented
863	C₂²×D₄	—	79	2	no	—
864	C₂²×D₄	—	79	16	no	—
865	C₂²×D₄	—	79	4	no	—
866	C₂²×D₄	—	79	4	no	—
867	C₂²×D₄	—	79	8	no	—
868	C₂²×D₄	—	79	4	no	—
869	C₂²×D₄	—	79	4	no	—
870	C₂²×D₄	—	79	1	no	—
871	C₂²×D₄	—	79	2	no	—
872	C₂²×D₄	—	79	1	no	—
873	C₂²×D₄	—	79	8	no	—
874	C₂²×D₄	—	79	16	no	—
875	C₂²×D₄	—	79	8	no	—
876	C₂²×D₄	—	79	8	no	—
877	C₂²×D₄	—	79	8	no	—
878	C₂²×D₄	—	79	8	no	—
879	C₂²×D₄	—	79	4	no	—
880	C₂²×D₄	—	79	8	no	—
881	C₂²×D₄	—	79	2	no	—
882	C₂²×D₄	—	79	8	no	—
883	C₂²×D₄	—	79	16	no	—
884	C₂²×D₄	—	79	4	no	—
885	C₂²×D₄	—	79	8	no	—
886	C₂²×D₄	—	79	4	no	—
887	C₂²×D₄	—	79	1	no	—
888	C₂²×D₄	—	79	8	no	—
889	C₂²×D₄	—	79	8	no	—
890	C₂²×D₄	—	79	4	no	—
891	C₂²×D₄	—	79	8	no	—
892	C₂²×D₄	—	79	2	no	—
893	C₂²×D₄	—	79	1	no	—
894	C₂²×D₄	—	79	2	no	—
895	C₂²×D₄	—	79	2	no	—
896	C₂²×D₄	—	79	1	no	—
897	C₂²×D₄	—	79	4	no	—
898	C₂²×D₄	—	79	8	no	—
899	C₂²×D₄	—	158	8	no	—
900	C₂²×D₄	—	158	16	no	—
901	C₂²×D₄	—	158	16	no	—
902	C₂²×D₄	—	158	32	no	—
903	C₂²×D₄	—	158	16	no	—
904	C₂²×D₄	—	158	32	no	—
905	C₂²×D₄	—	158	8	no	—
906	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
907	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
908	C₂²×D₄	C₂²×D₇₉	1	2	yes	complemented
909	C₂²×D₄	C₂²×D₇₉	1	4	yes	complemented
910	C₂³×C₄	—	79	1	no	—
911	C₂³×C₄	—	79	8	no	—
912	C₂³×C₄	—	79	4	no	—
913	C₂³×C₄	—	79	2	no	—
914	C₂³×C₄	—	79	2	no	—
915	C₂³×C₄	—	79	4	no	—
916	C₂³×C₄	—	79	1	no	—
917	C₂³×C₄	C₂²×D₇₉	1	2	yes	complemented
918	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic, complemented
919	C₄⋊Q₈	—	79	4	no	—
920	C₄⋊Q₈	—	79	8	no	—
921	C₄⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
922	#127	—	79	4	no	—
923	#127	—	79	8	no	—
924	#127	—	79	4	no	—
925	#124	—	79	4	no	—
926	#124	—	79	4	no	—
927	#124	—	79	8	no	—
928	#124	—	79	8	no	—
929	#124	—	79	4	no	—
930	#124	C₂²×D₇₉	1	4	yes	complemented
931	#123	—	79	4	no	—
932	#123	—	79	8	no	—
933	#123	—	79	8	no	—
934	#123	—	79	4	no	—
935	#123	—	79	8	no	—
936	#123	—	79	16	no	—
937	#123	—	79	16	no	—
938	#123	—	79	8	no	—
939	#123	—	79	16	no	—
940	#123	—	79	16	no	—
941	#123	—	79	16	no	—
942	#123	—	79	8	no	—
943	#123	—	79	4	no	—
944	#123	—	79	16	no	—
945	#123	—	79	8	no	—
946	#123	C₂²×D₇₉	1	8	yes	complemented
947	#123	C₂²×D₇₉	1	8	yes	complemented
948	#123	C₂²×D₇₉	1	4	yes	complemented
949	#123	C₂²×D₇₉	1	16	yes	complemented
950	C₂²⋊Q₈	—	79	4	no	—
951	C₂²⋊Q₈	—	79	8	no	—
952	C₂²⋊Q₈	—	79	4	no	—
953	C₂²⋊Q₈	—	79	16	no	—
954	C₂²⋊Q₈	—	79	8	no	—
955	C₂²⋊Q₈	—	79	4	no	—
956	C₂²⋊Q₈	—	79	8	no	—
957	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
958	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
959	#121	—	79	8	no	—
960	#121	—	79	16	no	—
961	#121	—	79	16	no	—
962	#121	—	79	4	no	—
963	#121	—	79	8	no	—
964	#121	—	79	16	no	—
965	#121	—	79	8	no	—
966	#121	—	79	4	no	—
967	#121	—	79	16	no	—
968	#121	—	79	8	no	—
969	#121	—	79	16	no	—
970	#121	—	79	16	no	—
971	#121	—	79	8	no	—
972	#121	—	79	4	no	—
973	#121	—	79	8	no	—
974	#121	—	79	16	no	—
975	#121	—	79	8	no	—
976	#121	—	79	16	no	—
977	#121	—	79	16	no	—
978	#121	—	79	8	no	—
979	#121	—	79	16	no	—
980	#121	C₂²×D₇₉	1	16	yes	complemented
981	#121	C₂²×D₇₉	1	4	yes	complemented
982	#120	—	79	4	no	—
983	#120	—	79	8	no	—
984	#120	—	79	4	no	—
985	#120	—	79	8	no	—
986	#120	—	79	8	no	—
987	#120	—	79	16	no	—
988	#120	—	79	8	no	—
989	#120	—	79	16	no	—
990	#120	—	79	16	no	—
991	#120	—	79	8	no	—
992	#120	—	79	8	no	—
993	#120	—	79	4	no	—
994	#120	—	79	16	no	—
995	#120	—	79	16	no	—
996	#120	—	79	16	no	—
997	#120	—	79	8	no	—
998	#120	—	79	16	no	—
999	#120	C₂²×D₇₉	1	4	yes	complemented
1000	#120	C₂²×D₇₉	1	8	yes	complemented
1001	C₄×D₄	—	79	8	no	—
1002	C₄×D₄	—	79	16	no	—
1003	C₄×D₄	—	79	8	no	—
1004	C₄×D₄	—	79	8	no	—
1005	C₄×D₄	—	79	8	no	—
1006	C₄×D₄	—	79	16	no	—
1007	C₄×D₄	—	79	16	no	—
1008	C₄×D₄	—	79	16	no	—
1009	C₄×D₄	—	79	8	no	—
1010	C₄×D₄	—	79	8	no	—
1011	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1012	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1013	#117	—	79	2	no	—
1014	#117	—	79	4	no	—
1015	#117	—	79	4	no	—
1016	#117	—	79	4	no	—
1017	#117	C₂²×D₇₉	1	2	yes	complemented
1018	C₂×C₄⋊C₄	—	79	8	no	—
1019	C₂×C₄⋊C₄	—	79	4	no	—
1020	C₂×C₄⋊C₄	—	79	16	no	—
1021	C₂×C₄⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1022	C₂×C₂²⋊C₄	—	79	4	no	—
1023	C₂×C₂²⋊C₄	—	79	8	no	—
1024	C₂×C₂²⋊C₄	—	79	8	no	—
1025	C₂×C₂²⋊C₄	—	79	8	no	—
1026	C₂×C₂²⋊C₄	—	79	8	no	—
1027	C₂×C₂²⋊C₄	—	79	4	no	—
1028	C₂×C₂²⋊C₄	—	79	8	no	—
1029	C₂×C₂²⋊C₄	—	79	8	no	—
1030	C₂×C₂²⋊C₄	—	79	8	no	—
1031	C₂×C₂²⋊C₄	—	79	16	no	—
1032	C₂×C₂²⋊C₄	—	79	16	no	—
1033	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1034	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1035	C₂×C₄²	—	79	4	no	—
1036	C₂⁴	—	79	1	no	—
1037	C₂⁴	—	79	4	no	—
1038	C₂⁴	—	79	2	no	—
1039	C₂⁴	—	79	4	no	—
1040	C₂⁴	—	79	8	no	—
1041	C₂⁴	—	79	8	no	—
1042	C₂⁴	—	79	4	no	—
1043	C₂⁴	—	79	8	no	—
1044	C₂⁴	—	79	4	no	—
1045	C₂⁴	—	79	2	no	—
1046	C₂⁴	—	79	1	no	—
1047	C₂⁴	—	79	16	no	—
1048	C₂⁴	—	632	4	no	—
1049	C₂⁴	—	632	4	no	—
1050	C₂⁴	—	632	4	no	—
1051	C₂⁴	—	632	8	no	—
1052	C₂⁴	—	158	8	no	—
1053	C₂⁴	—	158	16	no	—
1054	C₂⁴	—	158	8	no	—
1055	C₂⁴	C₂³×D₇₉	1	4	yes	—
1056	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1057	C₂⁴	C₂³×D₇₉	1	2	yes	—
1058	#41	—	2	32	no	—
1059	#41	—	2	16	no	—
1060	#41	—	2	8	no	—
1061	#41	—	158	16	no	—
1062	#41	—	158	16	no	—
1063	#41	—	158	16	no	—
1064	#41	—	158	64	no	—
1065	#41	—	158	32	no	—
1066	#41	—	158	16	no	—
1067	#41	—	158	16	no	—
1068	#41	—	158	8	no	—
1069	#41	—	158	16	no	—
1070	#41	—	158	16	no	—
1071	#41	—	158	8	no	—
1072	#41	—	158	32	no	—
1073	#41	—	158	32	no	—
1074	#41	—	158	16	no	—
1075	#41	—	158	16	no	—
1076	#41	—	158	8	no	—
1077	C₂×Q₈	—	2	4	no	—
1078	C₂×Q₈	—	79	4	no	—
1079	C₂×Q₈	—	79	4	no	—
1080	C₂×Q₈	—	79	2	no	—
1081	C₂×Q₈	—	158	4	no	—
1082	C₂×Q₈	—	158	8	no	—
1083	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1084	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1085	C₂×D₄	—	2	8	no	—
1086	C₂×D₄	—	2	16	no	—
1087	C₂×D₄	—	2	16	no	—
1088	C₂×D₄	—	79	8	no	—
1089	C₂×D₄	—	79	16	no	—
1090	C₂×D₄	—	79	8	no	—
1091	C₂×D₄	—	79	8	no	—
1092	C₂×D₄	—	79	16	no	—
1093	C₂×D₄	—	79	32	no	—
1094	C₂×D₄	—	79	32	no	—
1095	C₂×D₄	—	79	2	no	—
1096	C₂×D₄	—	79	4	no	—
1097	C₂×D₄	—	79	8	no	—
1098	C₂×D₄	—	79	8	no	—
1099	C₂×D₄	—	79	8	no	—
1100	C₂×D₄	—	79	2	no	—
1101	C₂×D₄	—	79	4	no	—
1102	C₂×D₄	—	79	4	no	—
1103	C₂×D₄	—	79	4	no	—
1104	C₂×D₄	—	79	16	no	—
1105	C₂×D₄	—	79	8	no	—
1106	C₂×D₄	—	79	4	no	—
1107	C₂×D₄	—	79	4	no	—
1108	C₂×D₄	—	79	2	no	—
1109	C₂×D₄	—	79	8	no	—
1110	C₂×D₄	—	79	8	no	—
1111	C₂×D₄	—	79	8	no	—
1112	C₂×D₄	—	79	4	no	—
1113	C₂×D₄	—	79	4	no	—
1114	C₂×D₄	—	79	2	no	—
1115	C₂×D₄	—	79	2	no	—
1116	C₂×D₄	—	79	4	no	—
1117	C₂×D₄	—	79	8	no	—
1118	C₂×D₄	—	632	8	no	—
1119	C₂×D₄	—	632	16	no	—
1120	C₂×D₄	—	632	8	no	—
1121	C₂×D₄	—	158	32	no	—
1122	C₂×D₄	—	158	16	no	—
1123	C₂×D₄	—	158	4	no	—
1124	C₂×D₄	—	158	8	no	—
1125	C₂×D₄	—	158	8	no	—
1126	C₂×D₄	—	158	8	no	—
1127	C₂×D₄	—	158	32	no	—
1128	C₂×D₄	—	158	32	no	—
1129	C₂×D₄	—	158	16	no	—
1130	C₂×D₄	—	158	8	no	—
1131	C₂×D₄	—	158	4	no	—
1132	C₂×D₄	—	158	32	no	—
1133	C₂×D₄	—	158	64	no	—
1134	C₂×D₄	—	158	16	no	—
1135	C₂×D₄	—	158	16	no	—
1136	C₂×D₄	—	158	32	no	—
1137	C₂×D₄	—	158	32	no	—
1138	C₂×D₄	—	158	32	no	—
1139	C₂×D₄	—	158	32	no	—
1140	C₂×D₄	—	158	32	no	—
1141	C₂×D₄	—	158	32	no	—
1142	C₂×D₄	—	158	4	no	—
1143	C₂×D₄	—	158	16	no	—
1144	C₂×D₄	—	158	8	no	—
1145	C₂×D₄	—	158	16	no	—
1146	C₂×D₄	—	158	16	no	—
1147	C₂×D₄	—	158	32	no	—
1148	C₂×D₄	—	158	4	no	—
1149	C₂×D₄	D₄×D₇₉	1	8	yes	complemented
1150	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1151	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1152	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1153	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1154	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1155	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1156	C₂²×C₄	—	2	8	no	—
1157	C₂²×C₄	—	2	4	no	—
1158	C₂²×C₄	—	79	8	no	—
1159	C₂²×C₄	—	79	8	no	—
1160	C₂²×C₄	—	79	16	no	—
1161	C₂²×C₄	—	79	1	no	—
1162	C₂²×C₄	—	79	2	no	—
1163	C₂²×C₄	—	79	2	no	—
1164	C₂²×C₄	—	79	8	no	—
1165	C₂²×C₄	—	79	4	no	—
1166	C₂²×C₄	—	79	4	no	—
1167	C₂²×C₄	—	79	1	no	—
1168	C₂²×C₄	—	79	8	no	—
1169	C₂²×C₄	—	79	8	no	—
1170	C₂²×C₄	—	79	4	no	—
1171	C₂²×C₄	—	79	8	no	—
1172	C₂²×C₄	—	79	4	no	—
1173	C₂²×C₄	—	79	4	no	—
1174	C₂²×C₄	—	79	4	no	—
1175	C₂²×C₄	—	632	8	no	—
1176	C₂²×C₄	—	158	8	no	—
1177	C₂²×C₄	—	158	16	no	—
1178	C₂²×C₄	—	158	8	no	—
1179	C₂²×C₄	—	158	16	no	—
1180	C₂²×C₄	—	158	4	no	—
1181	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1182	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1183	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1184	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1185	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1186	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1188	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1189	C₄⋊C₄	—	79	8	no	—
1190	C₄⋊C₄	—	79	16	no	—
1191	C₄⋊C₄	—	79	8	no	—
1192	C₄⋊C₄	—	79	8	no	—
1193	C₄⋊C₄	—	79	8	no	—
1194	C₄⋊C₄	—	79	4	no	—
1195	C₄⋊C₄	C₂³×D₇₉	1	16	yes	—
1196	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1197	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1198	C₂²⋊C₄	—	79	4	no	—
1199	C₂²⋊C₄	—	79	8	no	—
1200	C₂²⋊C₄	—	79	8	no	—
1201	C₂²⋊C₄	—	79	8	no	—
1202	C₂²⋊C₄	—	79	8	no	—
1203	C₂²⋊C₄	—	79	16	no	—
1204	C₂²⋊C₄	—	79	16	no	—
1205	C₂²⋊C₄	—	79	8	no	—
1206	C₂²⋊C₄	—	79	16	no	—
1207	C₂²⋊C₄	—	79	8	no	—
1208	C₂²⋊C₄	—	79	8	no	—
1209	C₂²⋊C₄	—	79	16	no	—
1210	C₂²⋊C₄	—	79	8	no	—
1211	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1212	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1213	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1214	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1215	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1216	C₄²	—	79	8	no	—
1217	C₄²	—	79	4	no	—
1218	C₄²	C₂³×D₇₉	1	4	yes	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	8	no	—
1221	C₂³	—	4	4	no	—
1222	C₂³	—	4	2	no	—
1223	C₂³	—	4	8	no	—
1224	C₂³	—	316	8	no	—
1225	C₂³	—	316	8	no	—
1226	C₂³	—	316	2	no	—
1227	C₂³	—	316	4	no	—
1228	C₂³	—	316	2	no	—
1229	C₂³	—	316	4	no	—
1230	C₂³	—	316	8	no	—
1231	C₂³	—	316	8	no	—
1232	C₂³	—	316	8	no	—
1233	C₂³	—	316	8	no	—
1234	C₂³	—	316	16	no	—
1235	C₂³	—	316	16	no	—
1236	C₂³	—	79	4	no	—
1237	C₂³	—	79	16	no	—
1238	C₂³	—	79	8	no	—
1239	C₂³	—	79	16	no	—
1240	C₂³	—	79	1	no	—
1241	C₂³	—	79	4	no	—
1242	C₂³	—	79	1	no	—
1243	C₂³	—	79	4	no	—
1244	C₂³	—	79	2	no	—
1245	C₂³	—	79	4	no	—
1246	C₂³	—	632	16	no	—
1247	C₂³	—	632	16	no	—
1248	C₂³	—	632	16	no	—
1249	C₂³	—	632	32	no	—
1250	C₂³	—	158	8	no	—
1251	C₂³	—	158	16	no	—
1252	C₂³	—	158	16	no	—
1253	C₂³	—	158	4	no	—
1254	C₂³	—	158	2	no	—
1255	C₂³	—	158	8	no	—
1256	C₂³	—	158	16	no	—
1257	C₂³	C₂×D₄×D₇₉	1	8	yes	—
1258	C₂³	C₂⁴×D₇₉	1	2	yes	—
1259	C₂³	C₂⁴×D₇₉	1	4	yes	—
1260	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1261	C₂³	C₂⁴×D₇₉	1	4	yes	—
1262	Q₈	—	2	8	no	—
1263	Q₈	—	2	4	no	—
1264	Q₈	—	158	8	no	—
1265	Q₈	—	158	8	no	—
1266	Q₈	—	158	4	no	—
1267	D₄	—	2	8	no	—
1268	D₄	—	2	16	no	—
1269	D₄	—	2	16	no	—
1270	D₄	—	2	4	no	—
1271	D₄	—	4	8	no	—
1272	D₄	—	316	8	no	—
1273	D₄	—	316	16	no	—
1274	D₄	—	316	8	no	—
1275	D₄	—	316	16	no	—
1276	D₄	—	316	8	no	—
1277	D₄	—	79	32	no	—
1278	D₄	—	79	16	no	—
1279	D₄	—	158	4	no	—
1280	D₄	—	158	4	no	—
1281	D₄	—	158	16	no	—
1282	D₄	—	158	8	no	—
1283	D₄	—	158	16	no	—
1284	D₄	—	158	8	no	—
1285	D₄	—	158	8	no	—
1286	D₄	—	158	16	no	—
1287	D₄	—	158	8	no	—
1288	D₄	—	158	8	no	—
1289	D₄	—	158	4	no	—
1290	D₄	—	158	4	no	—
1291	D₄	—	158	8	no	—
1292	D₄	—	158	16	no	—
1293	D₄	—	158	8	no	—
1294	D₄	—	158	16	no	—
1295	D₄	—	158	16	no	—
1296	D₄	—	158	4	no	—
1297	D₄	—	158	8	no	—
1298	D₄	C₂×D₄×D₇₉	1	16	yes	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	16	no	—
1302	C₂×C₄	—	2	8	no	—
1303	C₂×C₄	—	2	8	no	—
1304	C₂×C₄	—	2	8	no	—
1305	C₂×C₄	—	4	8	no	—
1306	C₂×C₄	—	316	8	no	—
1307	C₂×C₄	—	316	16	no	—
1308	C₂×C₄	—	316	8	no	—
1309	C₂×C₄	—	79	2	no	—
1310	C₂×C₄	—	79	4	no	—
1311	C₂×C₄	—	79	8	no	—
1312	C₂×C₄	—	79	8	no	—
1313	C₂×C₄	—	79	8	no	—
1314	C₂×C₄	—	79	2	no	—
1315	C₂×C₄	—	79	4	no	—
1316	C₂×C₄	—	158	8	no	—
1317	C₂×C₄	—	158	16	no	—
1318	C₂×C₄	—	158	8	no	—
1319	C₂×C₄	—	158	16	no	—
1320	C₂×C₄	—	158	16	no	—
1321	C₂×C₄	—	158	8	no	—
1322	C₂×C₄	—	158	2	no	—
1323	C₂×C₄	—	158	8	no	—
1324	C₂×C₄	—	158	8	no	—
1325	C₂×C₄	—	158	8	no	—
1326	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1327	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1328	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1329	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1330	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1331	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1332	C₂²	—	2	8	no	—
1333	C₂²	—	2	2	no	—
1334	C₂²	—	2	2	no	—
1335	C₂²	—	2	4	no	—
1336	C₂²	—	2	4	no	—
1337	C₂²	—	2	8	no	—
1338	C₂²	—	4	8	no	—
1339	C₂²	—	4	4	no	—
1340	C₂²	—	8	8	no	—
1341	C₂²	—	316	4	no	—
1342	C₂²	—	316	8	no	—
1343	C₂²	—	316	4	no	—
1344	C₂²	—	316	8	no	—
1345	C₂²	—	316	16	no	—
1346	C₂²	—	316	16	no	—
1347	C₂²	—	316	16	no	—
1348	C₂²	—	79	2	no	—
1349	C₂²	—	79	2	no	—
1350	C₂²	—	79	8	no	—
1351	C₂²	—	632	16	no	—
1352	C₂²	—	632	8	no	—
1353	C₂²	—	632	16	no	—
1354	C₂²	—	632	16	no	—
1355	C₂²	—	158	4	no	—
1356	C₂²	—	158	4	no	—
1357	C₂²	—	158	2	no	—
1358	C₂²	—	158	2	no	—
1359	C₂²	—	158	8	no	—
1360	C₂²	—	158	8	no	—
1361	C₂²	—	158	2	no	—
1362	C₂²	—	158	2	no	—
1363	C₂²	—	158	8	no	—
1364	C₂²	—	158	2	no	—
1365	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1366	C₂²	C₂²×D₄×D₇₉	1	8	yes	—
1367	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1368	C₄	—	2	2	no	—
1369	C₄	—	2	4	no	—
1370	C₄	—	2	4	no	—
1371	C₄	—	2	8	no	—
1372	C₄	—	79	4	no	—
1373	C₄	—	158	4	no	—
1374	C₄	—	158	2	no	—
1375	C₄	—	158	8	no	—
1376	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1377	C₂	—	2	2	no	—
1378	C₂	—	2	8	no	—
1379	C₂	—	4	2	no	—
1380	C₂	—	4	4	no	—
1381	C₂	—	316	2	no	—
1382	C₂	—	316	4	no	—
1383	C₂	—	316	4	no	—
1384	C₂	—	158	2	no	—
1385	C₂	—	158	2	no	—
1386	C₂	—	158	8	no	—
1387	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1388	C₂	#23778211	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3485	C₂
hypercenter	#3485	D₇₉
hypocenter	C₇₉	#62842
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3485

Complements

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

N	H ≅ G/N	type
1. C₂²×#14579207	C₂	semidirect
2. C₂×H(5,𝔽₂)×D₇₉	C₂	semidirect
3. #23777160	C₂	semidirect
4. #23777158	C₂	semidirect
5. #23777044	C₂	semidirect
6. #23777043	C₂	semidirect
7. #23777039	C₂	semidirect
8. #23777038	C₂	semidirect
9. #23777036	C₂	semidirect
10. #23777033	C₂	semidirect
11. #23777032	C₂	semidirect
12. #23777031	C₂	semidirect
13. #23777030	C₂	semidirect
14. #23776732	C₂	semidirect
15. #23776730	C₂	semidirect
16. C₂×#19099124	C₂	semidirect
17. #534×D₇₉	C₂	semidirect
18. #518×D₇₉	C₂	semidirect
19. C₇₉×#3485	C₂	semidirect
21. C₂×#14579207	C₂²	semidirect
22. C₂×#14579207	C₂²	semidirect
23. C₂×#14579207	C₂²	semidirect
24. C₂×#14579207	C₂²	semidirect
25. C₂×#14579206	C₂²	semidirect
26. C₂×#14579206	C₂²	semidirect
27. C₂×#14579206	C₂²	semidirect
29. C₂²×#11929625	C₂²	semidirect
30. C₂²×#11929625	C₂²	semidirect
31. C₂²×#11929624	C₂²	semidirect
32. C₂²×#11929624	C₂²	semidirect
33. C₂×#41×D₇₉	C₂²	semidirect
34. C₂×#41×D₇₉	C₂²	semidirect
35. C₂³×D₃₁₆	C₂²	semidirect
36. C₂³×D₃₁₆	C₂²	semidirect
38. C₂²×D₄×D₇₉	C₂²	semidirect
39. C₂²×D₄×D₇₉	C₂²	semidirect
40. C₂²×D₄×D₇₉	C₂²	semidirect
41. C₂²×D₄×D₇₉	C₂²	semidirect
42. C₂²×D₄×D₇₉	C₂²	semidirect
43. #19099216	C₂²	semidirect
44. #19099215	C₂²	semidirect
45. #19099214	C₂²	semidirect
46. #19099212	C₂²	semidirect
47. #19099211	C₂²	semidirect
48. #19099209	C₂²	semidirect
49. #19099208	C₂²	semidirect
50. #19099206	C₂²	semidirect
51. #19099205	C₂²	semidirect
52. #19099205	C₂²	semidirect
53. #19099204	C₂²	semidirect
54. #19099204	C₂²	semidirect
55. #19099203	C₂²	semidirect
56. #19099202	C₂²	semidirect
57. #19099201	C₂²	semidirect
58. #19099201	C₂²	semidirect
59. D₄×D₃₁₆	C₂²	semidirect
60. D₄×D₃₁₆	C₂²	semidirect
61. #19099197	C₂²	semidirect
62. #19099197	C₂²	semidirect
63. D₄×C₂²⋊D₇₉	C₂²	semidirect
64. #19099195	C₂²	semidirect
65. #19099143	C₂²	semidirect
66. #19099143	C₂²	semidirect
67. #19099142	C₂²	semidirect
68. #19099138	C₂²	semidirect
69. #19099137	C₂²	semidirect
70. #19099136	C₂²	semidirect
71. #19099135	C₂²	semidirect
72. #19099132	C₂²	semidirect
73. #19099131	C₂²	semidirect
74. #19099129	C₂²	semidirect
75. #19099128	C₂²	semidirect
76. #19099127	C₂²	semidirect
77. #19099125	C₂²	semidirect
78. #19099124	C₂²	semidirect
79. #19099124	C₂²	semidirect
80. #19099124	C₂²	semidirect
81. #19099124	C₂²	semidirect
82. #19099124	C₂²	semidirect
83. #19099124	C₂²	semidirect
84. #19099124	C₂²	semidirect
85. #19099123	C₂²	semidirect
86. #19099123	C₂²	semidirect
87. #19099122	C₂²	semidirect
88. #19099122	C₂²	semidirect
89. #19099121	C₂²	semidirect
90. #19099114	C₂²	semidirect
91. #19099112	C₂²	semidirect
92. #19099110	C₂²	semidirect
93. #19099076	C₂²	semidirect
94. #19099075	C₂²	semidirect
95. #19099074	C₂²	semidirect
96. #19099072	C₂²	semidirect
97. #19099071	C₂²	semidirect
98. #19099070	C₂²	semidirect
99. C₂×#14579146	C₂²	semidirect
100. C₂×#14579144	C₂²	semidirect
101. #123×D₇₉	C₂²	semidirect
102. #123×D₇₉	C₂²	semidirect
103. C₂×#14579136	C₂²	semidirect
104. C₂×#14579134	C₂²	semidirect
105. #121×D₇₉	C₂²	semidirect
106. C₂×#14579131	C₂²	semidirect
107. C₂×#14579131	C₂²	semidirect
108. C₂×#14579129	C₂²	semidirect
109. #120×D₇₉	C₂²	semidirect
110. #120×D₇₉	C₂²	semidirect
111. #19099038	C₂²	semidirect
112. #19099037	C₂²	semidirect
113. #19099036	C₂²	semidirect
114. #19099035	C₂²	semidirect
115. C₄×D₄×D₇₉	C₂²	semidirect
116. #117×D₇₉	C₂²	semidirect
117. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
118. C₂×H(5,𝔽₂)×C₇₉	C₂²	semidirect
119. C₂²×#41×C₇₉	C₂²	semidirect
120. #547×C₇₉	C₂²	semidirect
121. #546×C₇₉	C₂²	semidirect
122. #536×C₇₉	C₂²	semidirect
123. #534×C₇₉	C₂²	semidirect
124. #525×C₇₉	C₂²	semidirect
125. C₂×#123×C₇₉	C₂²	semidirect
126. #518×C₇₉	C₂²	semidirect
128. C₂⁴×D₇₉	C₂³	semidirect
129. C₂⁴×D₇₉	C₂³	semidirect
130. C₂⁴×D₇₉	C₂³	semidirect
141. C₂×#11929625	C₂³	semidirect
142. C₂×#11929625	C₂³	semidirect
143. C₂×#11929625	C₂³	semidirect
144. C₂×#11929625	C₂³	semidirect
149. C₂×#11929624	C₂³	semidirect
150. C₂×#11929624	C₂³	semidirect
151. C₂×#11929624	C₂³	semidirect
152. C₂×#11929624	C₂³	semidirect
153. C₂×#11929624	C₂³	semidirect
155. C₂×#11929623	C₂³	semidirect
156. C₂×#11929623	C₂³	semidirect
157. C₂×#11929623	C₂³	semidirect
160. C₂²×Dic₁₅₈	C₂³	semidirect
161. C₂×Q₈×D₇₉	C₂³	semidirect
168. C₂²×D₃₁₆	C₂³	semidirect
169. C₂²×D₃₁₆	C₂³	semidirect
170. C₂²×D₃₁₆	C₂³	semidirect
171. C₂²×D₃₁₆	C₂³	semidirect
172. C₂²×D₃₁₆	C₂³	semidirect
173. C₂²×D₃₁₆	C₂³	semidirect
174. C₂²×D₃₁₆	C₂³	semidirect
175. C₂²×D₃₁₆	C₂³	semidirect
179. C₂²×C₂²⋊D₇₉	C₂³	semidirect
180. C₂²×C₂²⋊D₇₉	C₂³	semidirect
181. C₂²×C₂²⋊D₇₉	C₂³	semidirect
182. C₂²×C₂²⋊D₇₉	C₂³	semidirect
183. C₂²×C₂²⋊D₇₉	C₂³	semidirect
189. C₂×D₄×D₇₉	D₄	semidirect
195. C₂×D₄×D₇₉	C₂³	semidirect
196. C₂×D₄×D₇₉	C₂³	semidirect
197. C₂×D₄×D₇₉	C₂³	semidirect
198. C₂×D₄×D₇₉	C₂³	semidirect
199. C₂×D₄×D₇₉	C₂³	semidirect
200. C₂×D₄×D₇₉	C₂³	semidirect
201. C₂×D₄×D₇₉	C₂³	semidirect
202. C₂×D₄×D₇₉	C₂³	semidirect
203. C₂×D₄×D₇₉	C₂³	semidirect
204. C₂×D₄×D₇₉	C₂³	semidirect
206. C₂²×C₄×D₇₉	C₂³	semidirect
207. C₂²×C₄×D₇₉	C₂³	semidirect
208. C₂²×C₄×D₇₉	C₂³	semidirect
209. C₂²×C₄×D₇₉	C₂³	semidirect
210. C₂²×C₄×D₇₉	C₂³	semidirect
211. C₂²×C₄×D₇₉	C₂³	semidirect
212. #14579160	C₂³	semidirect
213. #14579159	C₂³	semidirect
214. #14579158	C₂³	semidirect
215. #14579157	C₂³	semidirect
216. #14579157	C₂³	semidirect
217. #14579150	C₂³	semidirect
218. #14579150	C₂³	semidirect
219. #14579149	C₂³	semidirect
220. #14579147	C₂³	semidirect
221. #14579147	C₂³	semidirect
222. #14579146	C₂³	semidirect
223. #14579146	C₂³	semidirect
224. #14579146	C₂³	semidirect
225. #14579146	C₂³	semidirect
226. #14579146	C₂³	semidirect
227. #14579145	C₂³	semidirect
228. #14579145	C₂³	semidirect
229. #14579144	C₂³	semidirect
230. #14579144	C₂³	semidirect
231. #14579144	C₂³	semidirect
232. #14579144	C₂³	semidirect
233. #14579143	C₂³	semidirect
234. #14579143	C₂³	semidirect
235. #14579142	C₂³	semidirect
236. #14579142	C₂³	semidirect
237. #14579141	C₂³	semidirect
238. #14579140	C₂³	semidirect
239. #14579139	C₂³	semidirect
240. #14579139	C₂³	semidirect
241. #14579138	C₂³	semidirect
242. #14579137	C₂³	semidirect
243. #14579137	C₂³	semidirect
244. #14579136	C₂³	semidirect
245. #14579136	C₂³	semidirect
246. #14579136	C₂³	semidirect
247. #14579136	C₂³	semidirect
248. #14579136	C₂³	semidirect
249. #14579136	C₂³	semidirect
250. #14579135	C₂³	semidirect
251. #14579135	C₂³	semidirect
252. #14579135	C₂³	semidirect
253. #14579134	C₂³	semidirect
254. #14579134	C₂³	semidirect
255. #14579134	C₂³	semidirect
256. #14579134	C₂³	semidirect
257. #14579134	C₂³	semidirect
258. #14579134	C₂³	semidirect
259. #14579134	C₂³	semidirect
260. #14579133	C₂³	semidirect
261. #14579133	C₂³	semidirect
262. #14579133	C₂³	semidirect
263. #14579132	C₂³	semidirect
264. #14579132	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. #14579130	C₂³	semidirect
275. #14579130	C₂³	semidirect
276. #14579129	C₂³	semidirect
277. #14579129	C₂³	semidirect
278. #14579129	C₂³	semidirect
279. #14579129	C₂³	semidirect
280. #14579129	C₂³	semidirect
281. #14579129	C₂³	semidirect
282. C₄×D₃₁₆	C₂³	semidirect
283. C₄×D₃₁₆	C₂³	semidirect
284. D₄×Dic₇₉	C₂³	semidirect
285. #14579123	C₂³	semidirect
286. #14579123	C₂³	semidirect
287. C₄×C₂²⋊D₇₉	C₂³	semidirect
288. C₄×C₂²⋊D₇₉	C₂³	semidirect
289. C₄×C₂²⋊D₇₉	C₂³	semidirect
290. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
291. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
292. #14579120	C₂³	semidirect
293. #14579119	C₂³	semidirect
294. #14579118	C₂³	semidirect
295. #14579117	C₂³	semidirect
296. C₂×Dic₇₉⋊C₄	C₂³	semidirect
297. C₄⋊C₄×D₇₉	C₂³	semidirect
298. C₄⋊C₄×D₇₉	C₂³	semidirect
299. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
300. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
301. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
302. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
303. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
305. C₂²⋊C₄×D₇₉	C₂³	semidirect
306. C₂²⋊C₄×D₇₉	C₂³	semidirect
307. C₂²⋊C₄×D₇₉	C₂³	semidirect
308. C₂²⋊C₄×D₇₉	C₂³	semidirect
309. C₂²⋊C₄×D₇₉	C₂³	semidirect
310. C₄²×D₇₉	C₂³	semidirect
314. C₂×#41×C₇₉	C₂³	semidirect
315. C₂×#41×C₇₉	C₂³	semidirect
316. C₂²×Q₈×C₇₉	C₂³	semidirect
319. C₂²×D₄×C₇₉	C₂³	semidirect
320. C₂²×D₄×C₇₉	C₂³	semidirect
321. C₂³×C₄×C₇₉	C₂³	semidirect
322. C₂³×C₄×C₇₉	C₂³	semidirect
323. C₄⋊Q₈×C₇₉	C₂³	semidirect
324. #124×C₇₉	C₂³	semidirect
325. #123×C₇₉	C₂³	semidirect
326. #123×C₇₉	C₂³	semidirect
327. #123×C₇₉	C₂³	semidirect
328. #123×C₇₉	C₂³	semidirect
329. C₂²⋊Q₈×C₇₉	C₂³	semidirect
330. C₂²⋊Q₈×C₇₉	C₂³	semidirect
331. #121×C₇₉	C₂³	semidirect
332. #121×C₇₉	C₂³	semidirect
333. #120×C₇₉	C₂³	semidirect
334. #120×C₇₉	C₂³	semidirect
335. C₄×D₄×C₇₉	C₂³	semidirect
336. C₄×D₄×C₇₉	C₂³	semidirect
337. #117×C₇₉	C₂³	semidirect
338. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
339. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
340. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
348. C₂³×D₇₉	C₂×D₄	semidirect
392. C₂×D₃₁₆	C₂×D₄	semidirect
413. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
440. D₄×D₇₉	C₂×D₄	semidirect
441. D₄×D₇₉	C₂×D₄	semidirect
453. C₂×C₄×D₇₉	C₂×D₄	semidirect
498. C₂×D₄×C₇₉	C₂×D₄	semidirect
703. #3485	D₇₉	semidirect
714. C₇₉	#62842	semidirect
724. C₂×H(5,𝔽₂)	C₂×D₇₉	semidirect
731. C₂²×#41	C₂×D₇₉	semidirect
745. #547	C₂×D₇₉	semidirect
757. #546	C₂×D₇₉	semidirect
771. #536	C₂×D₇₉	semidirect
790. #534	C₂×D₇₉	semidirect
800. #525	C₂×D₇₉	semidirect
805. C₂×#123	C₂×D₇₉	semidirect
818. #518	C₂×D₇₉	semidirect
858. C₂×#41	C₂²×D₇₉	semidirect
859. C₂×#41	C₂²×D₇₉	semidirect
862. C₂²×Q₈	C₂²×D₇₉	semidirect
908. C₂²×D₄	C₂²×D₇₉	semidirect
909. C₂²×D₄	C₂²×D₇₉	semidirect
917. C₂³×C₄	C₂²×D₇₉	semidirect
918. C₂³×C₄	C₂²×D₇₉	semidirect
921. C₄⋊Q₈	C₂²×D₇₉	semidirect
930. #124	C₂²×D₇₉	semidirect
946. #123	C₂²×D₇₉	semidirect
947. #123	C₂²×D₇₉	semidirect
948. #123	C₂²×D₇₉	semidirect
949. #123	C₂²×D₇₉	semidirect
957. C₂²⋊Q₈	C₂²×D₇₉	semidirect
958. C₂²⋊Q₈	C₂²×D₇₉	semidirect
980. #121	C₂²×D₇₉	semidirect
981. #121	C₂²×D₇₉	semidirect
999. #120	C₂²×D₇₉	semidirect
1000. #120	C₂²×D₇₉	semidirect
1011. C₄×D₄	C₂²×D₇₉	semidirect
1012. C₄×D₄	C₂²×D₇₉	semidirect
1017. #117	C₂²×D₇₉	semidirect
1021. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1033. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1034. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1149. C₂×D₄	D₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#14579207	2
C₂×H(5,𝔽₂)×D₇₉	2
#23777160	2
#23777158	2
#23777044	2
#23777043	2
#23777039	2
#23777038	2
#23777036	2
#23777033	2
#23777032	2
#23777031	2
#23777030	2
#23776732	2
#23776730	2
C₂×#19099124	2
#534×D₇₉	2
#518×D₇₉	2
C₇₉×#3485	2
#62842	79