Subgroups — #35170675

Order 20224.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777389	C₂	1	1	yes	maximal, characteristic, complemented
2	#23776392	C₂	1	1	yes	maximal, characteristic, complemented
3	#23776275	C₂	1	1	yes	maximal, characteristic, complemented
4	#23776227	C₂	1	1	yes	maximal, characteristic, complemented
5	#23776162	C₂	1	1	yes	maximal, characteristic, complemented
6	#23775779	C₂	1	1	yes	maximal, characteristic, complemented
7	#23775773	C₂	1	1	yes	maximal, characteristic, complemented
8	#23775757	C₂	1	1	yes	maximal, characteristic, complemented
9	#23775647	C₂	1	1	yes	maximal, characteristic, complemented
10	#23775616	C₂	1	1	yes	maximal, characteristic, complemented
11	#23775541	C₂	1	1	yes	maximal, characteristic, complemented
12	#23775481	C₂	1	1	yes	maximal, characteristic, complemented
13	#23775445	C₂	1	1	yes	maximal, characteristic, complemented
14	#23775385	C₂	1	1	yes	maximal, characteristic, complemented
15	#23775103	C₂	1	1	yes	maximal, characteristic, complemented
16	#23775103	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×#11929612	C₂	1	1	yes	maximal, characteristic, complemented
18	#23774022	C₂	1	1	yes	maximal, characteristic, complemented
19	#23774011	C₂	1	1	yes	maximal, characteristic, complemented
20	#23773964	C₂	1	1	yes	maximal, characteristic, complemented
21	#23773623	C₂	1	1	yes	maximal, characteristic, complemented
22	#23773614	C₂	1	1	yes	maximal, characteristic, complemented
23	#23773593	C₂	1	1	yes	maximal, characteristic, complemented
24	#23773584	C₂	1	1	yes	maximal, characteristic, complemented
25	#23773567	C₂	1	1	yes	maximal, characteristic, complemented
26	#23773538	C₂	1	1	yes	maximal, characteristic, complemented
27	#23772376	C₂	1	1	yes	maximal, characteristic, complemented
28	#23772281	C₂	1	1	yes	maximal, characteristic, complemented
29	#23772257	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#11929612	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#3513	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579181	C₂²	1	1	yes	characteristic
33	C₂²×#11929612	C₂²	1	1	yes	characteristic
34	C₂²×#11929612	C₂²	1	1	yes	characteristic
35	#19099291	C₂²	1	1	yes	characteristic, complemented
36	#19099286	C₂²	1	1	yes	characteristic, complemented
37	#19099280	—	2	1	no	—
38	#19099270	C₂²	1	1	yes	characteristic, complemented
39	#19099267	—	2	1	no	—
40	#19099259	C₂²	1	1	yes	characteristic
41	#19099256	—	2	1	no	—
42	#19099253	C₂²	1	1	yes	characteristic, complemented
43	#19099249	—	2	1	no	—
44	D₄×Dic₁₅₈	C₂²	1	1	yes	characteristic
45	#19099222	C₂²	1	1	yes	characteristic, complemented
46	#19099222	C₂²	1	1	yes	characteristic, complemented
47	#19099184	C₂²	1	1	yes	characteristic, complemented
48	#19099177	—	2	1	no	—
49	#19099175	C₂²	1	1	yes	characteristic, complemented
50	#19099172	—	2	1	no	—
51	#19099097	C₂²	1	1	yes	characteristic, complemented
52	#19099090	—	2	1	no	—
53	#19099090	—	2	1	no	—
54	#19099043	C₂²	1	1	yes	characteristic, complemented
55	#19099040	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
57	#19098962	C₂²	1	1	yes	characteristic, complemented
58	#19098962	C₂²	1	1	yes	characteristic, complemented
59	#19098959	C₂²	1	1	yes	characteristic, complemented
60	#19098945	C₂²	1	1	yes	characteristic, complemented
61	#19098945	C₂²	1	1	yes	characteristic, complemented
62	#19098935	C₂²	1	1	yes	characteristic
63	#19098933	C₂²	1	1	yes	characteristic, complemented
64	#19098927	C₂²	1	1	yes	characteristic
65	#19098925	C₂²	1	1	yes	characteristic, complemented
66	#19098922	C₂²	1	1	yes	characteristic, complemented
67	#19098920	C₂²	1	1	yes	characteristic, complemented
68	#19098917	C₂²	1	1	yes	characteristic, complemented
69	#19098904	C₂²	1	1	yes	characteristic, complemented
70	#19098901	C₂²	1	1	yes	characteristic, complemented
71	#19098898	C₂²	1	1	yes	characteristic, complemented
72	#19098896	C₂²	1	1	yes	characteristic, complemented
73	#19098893	C₂²	1	1	yes	characteristic, complemented
74	#19098893	C₂²	1	1	yes	characteristic, complemented
75	#19098887	C₂²	1	1	yes	characteristic, complemented
76	#19098884	C₂²	1	1	yes	characteristic
77	#19098879	C₂²	1	1	yes	characteristic
78	#19098879	C₂²	1	1	yes	characteristic, complemented
79	#19098876	C₂²	1	1	yes	characteristic, complemented
80	#19098874	C₂²	1	1	yes	characteristic, complemented
81	#19098870	C₂²	1	1	yes	characteristic, complemented
82	#19098867	C₂²	1	1	yes	characteristic, complemented
83	#19098867	C₂²	1	1	yes	characteristic, complemented
84	#19098867	C₂²	1	1	yes	characteristic, complemented
85	#19098863	C₂²	1	1	yes	characteristic
86	#19098863	C₂²	1	1	yes	characteristic
87	#19098863	C₂²	1	1	yes	characteristic, complemented
88	#19098860	C₂²	1	1	yes	characteristic, complemented
89	#19098855	C₂²	1	1	yes	characteristic, complemented
90	#19098853	C₂²	1	1	yes	characteristic, complemented
91	#19098845	C₂²	1	1	yes	characteristic, complemented
92	#19098843	C₂²	1	1	yes	characteristic
93	#19098819	C₂²	1	1	yes	characteristic, complemented
94	#19098814	C₂²	1	1	yes	characteristic
95	#19098807	C₂²	1	1	yes	characteristic, complemented
96	#19098807	C₂²	1	1	yes	characteristic, complemented
97	#19098802	C₂²	1	1	yes	characteristic, complemented
98	#19098797	C₂²	1	1	yes	characteristic
99	#19098794	C₂²	1	1	yes	characteristic, complemented
100	#19098794	C₂²	1	1	yes	characteristic, complemented
101	#19098790	C₂²	1	1	yes	characteristic
102	#19098790	C₂²	1	1	yes	characteristic
103	#19098790	C₂²	1	1	yes	characteristic, complemented
104	#19098790	C₂²	1	1	yes	characteristic, complemented
105	#19098782	C₂²	1	1	yes	characteristic, complemented
106	#19098782	C₂²	1	1	yes	characteristic, complemented
107	#19098782	C₂²	1	1	yes	characteristic, complemented
108	#19098782	C₂²	1	1	yes	characteristic, complemented
109	#19098778	C₂²	1	1	yes	characteristic
110	#19098778	C₂²	1	1	yes	characteristic
111	#19098778	C₂²	1	1	yes	characteristic, complemented
112	#19098778	C₂²	1	1	yes	characteristic, complemented
113	#19098773	C₂²	1	1	yes	characteristic, complemented
114	#19098768	C₂²	1	1	yes	characteristic
115	#19098760	C₂²	1	1	yes	characteristic
116	#19098755	C₂²	1	1	yes	characteristic
117	#19098725	C₂²	1	1	yes	characteristic
118	#19098725	C₂²	1	1	yes	characteristic
119	#19098718	C₂²	1	1	yes	characteristic, complemented
120	#19098718	C₂²	1	1	yes	characteristic, complemented
121	#19098714	C₂²	1	1	yes	characteristic
122	#19098714	C₂²	1	1	yes	characteristic
123	#19098706	C₂²	1	1	yes	characteristic, complemented
124	#19098706	C₂²	1	1	yes	characteristic, complemented
125	#19098701	C₂²	1	1	yes	characteristic
126	#19098701	C₂²	1	1	yes	characteristic
127	#19098697	C₂²	1	1	yes	characteristic
128	#19098697	C₂²	1	1	yes	characteristic
129	#19098694	C₂²	1	1	yes	characteristic, complemented
130	Q₈×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
131	#19098673	C₂²	1	1	yes	characteristic
132	#19098673	C₂²	1	1	yes	characteristic
133	#19098673	C₂²	1	1	yes	characteristic, complemented
134	#19098668	C₂²	1	1	yes	characteristic, complemented
135	#19098668	C₂²	1	1	yes	characteristic, complemented
136	#19098668	C₂²	1	1	yes	characteristic, complemented
137	#19098663	C₂²	1	1	yes	characteristic
138	#19098663	C₂²	1	1	yes	characteristic
139	#19098663	C₂²	1	1	yes	characteristic, complemented
140	#19098663	C₂²	1	1	yes	characteristic, complemented
141	#19098663	C₂²	1	1	yes	characteristic, complemented
142	#19098663	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11929614	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11929611	C₂²	1	1	yes	characteristic, complemented
145	C₄×#11929611	C₂²	1	1	yes	characteristic, complemented
146	C₄×#11929612	C₂²	1	1	yes	characteristic
147	C₄×#11929612	C₂²	1	1	yes	characteristic
148	C₄×#11929612	C₂²	1	1	yes	characteristic
149	C₄×#11929612	C₂²	1	1	yes	characteristic
150	C₄×#11929612	C₂²	1	1	yes	characteristic
151	C₄×#11929612	C₂²	1	1	yes	characteristic
152	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
153	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
157	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11929609	C₂²	1	1	yes	characteristic, complemented
159	#19098641	C₂²	1	1	yes	characteristic, complemented
160	#19098635	C₂²	1	1	yes	characteristic
161	#19098635	C₂²	1	1	yes	characteristic, complemented
162	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
163	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
164	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	#19098624	C₂²	1	1	yes	characteristic, complemented
166	#19098624	C₂²	1	1	yes	characteristic, complemented
167	#19098620	C₂²	1	1	yes	characteristic, complemented
168	#19098599	C₂²	1	1	yes	characteristic, complemented
169	C₂×#14579092	C₂²	1	1	yes	characteristic, complemented
170	C₂×#14579092	C₂²	1	1	yes	characteristic, complemented
171	#19098571	C₂²	1	1	yes	characteristic, complemented
172	#19098568	C₂²	1	1	yes	characteristic
173	#19098564	C₂²	1	1	yes	characteristic
174	#19098562	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14579084	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14579082	C₂²	1	1	yes	characteristic
177	#19098519	C₂²	1	1	yes	characteristic, complemented
178	#19098519	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#559×C₇₉	C₂²	1	1	yes	characteristic
181	#554×C₇₉	C₂²	1	1	yes	characteristic
182	#553×C₇₉	—	2	1	no	—
183	#553×C₇₉	C₂²	1	1	yes	characteristic
184	#552×C₇₉	C₂²	1	1	yes	characteristic
185	#551×C₇₉	—	2	1	no	—
186	#551×C₇₉	—	2	1	no	—
187	#547×C₇₉	C₂²	1	1	yes	characteristic
188	#546×C₇₉	—	2	1	no	—
189	#546×C₇₉	C₂²	1	1	yes	characteristic
190	#546×C₇₉	C₂²	1	1	yes	characteristic
191	D₄²×C₇₉	C₂²	1	1	yes	characteristic
192	#542×C₇₉	C₂²	1	1	yes	characteristic
193	#540×C₇₉	C₂²	1	1	yes	characteristic
194	#539×C₇₉	—	2	1	no	—
195	#538×C₇₉	—	2	1	no	—
196	#529×C₇₉	C₂²	1	1	yes	characteristic
197	#529×C₇₉	C₂²	1	1	yes	characteristic
198	#525×C₇₉	—	2	1	no	—
199	C₂×#123×C₇₉	—	2	1	no	—
200	#520×C₇₉	C₂²	1	1	yes	characteristic
201	#518×C₇₉	C₂²	1	1	yes	characteristic
202	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
203	C₂×#11929624	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
206	#14579181	—	2	4	no	—
207	C₂×#11929614	C₂³	1	1	yes	characteristic
208	C₂×#11929614	C₂³	1	1	yes	characteristic
209	C₂×#11929614	C₂³	1	1	yes	characteristic
210	C₂×#11929612	—	2	4	no	—
211	C₂×#11929612	—	2	4	no	—
212	C₂×#11929612	C₂³	1	1	yes	characteristic
213	C₂×#11929612	C₂³	1	1	yes	characteristic
214	C₂×#11929612	C₂³	1	1	yes	characteristic
215	C₂×#11929612	C₂³	1	1	yes	characteristic
216	C₂×#11929612	C₂³	1	1	yes	characteristic
217	C₂×#11929612	C₂³	1	1	yes	characteristic
218	C₂×#11929612	C₂³	1	1	yes	characteristic
219	C₂×#11929612	C₂³	1	1	yes	characteristic
220	C₂×#11929612	C₂³	1	1	yes	characteristic
221	C₂×#11929611	C₂³	1	1	yes	characteristic
222	C₂×#11929609	C₂³	1	1	yes	characteristic
223	C₂×#11929609	C₂³	1	1	yes	characteristic
224	C₂×#11929609	C₂³	1	1	yes	characteristic
225	C₂×#11929608	C₂³	1	1	yes	characteristic
226	C₂×#11929608	C₂³	1	1	yes	characteristic
227	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
231	#14579161	C₂³	1	1	yes	characteristic
232	#14579161	C₂³	1	1	yes	characteristic
233	#14579160	—	2	1	no	—
234	#14579159	—	2	1	no	—
235	#14579156	—	2	1	no	—
236	#14579156	—	2	1	no	—
237	#14579156	—	2	1	no	—
238	#14579156	—	2	1	no	—
239	#14579155	—	2	1	no	—
240	#14579154	—	2	1	no	—
241	#14579154	—	2	1	no	—
242	#14579154	—	2	1	no	—
243	#14579153	C₂³	1	1	yes	characteristic
244	#14579153	C₂³	1	1	yes	characteristic
245	#14579152	—	2	1	no	—
246	#14579151	—	2	1	no	—
247	#14579151	—	2	1	no	—
248	#14579151	—	2	1	no	—
249	#14579151	—	2	1	no	—
250	#14579151	—	2	1	no	—
251	#14579149	C₂³	1	1	yes	characteristic
252	#14579149	C₂³	1	1	yes	characteristic
253	#14579147	—	2	1	no	—
254	#14579147	—	2	1	no	—
255	#14579147	—	2	1	no	—
256	#14579144	—	2	1	no	—
257	#14579143	—	2	1	no	—
258	#14579143	—	2	1	no	—
259	#14579142	—	2	1	no	—
260	#14579140	C₂³	1	1	yes	characteristic
261	#14579140	C₂³	1	1	yes	characteristic
262	#14579140	C₂³	1	1	yes	characteristic
263	#14579140	C₂³	1	1	yes	characteristic
264	#14579139	—	2	1	no	—
265	#14579139	—	2	1	no	—
266	#14579139	—	2	1	no	—
267	#14579138	—	2	1	no	—
268	#14579138	—	2	1	no	—
269	#14579138	—	2	1	no	—
270	#14579138	—	2	1	no	—
271	#14579137	—	2	1	no	—
272	#14579135	C₂³	1	1	yes	characteristic
273	#14579135	C₂³	1	1	yes	characteristic
274	#14579133	—	2	1	no	—
275	#14579133	—	2	1	no	—
276	#14579133	—	2	1	no	—
277	C₄×Dic₁₅₈	—	2	1	no	—
278	C₄×Dic₁₅₈	—	2	1	no	—
279	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
280	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
281	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
282	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
283	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
284	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
285	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
286	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
287	#14579126	—	2	1	no	—
288	#14579126	—	2	1	no	—
289	#14579126	—	2	1	no	—
290	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
291	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
292	D₄×Dic₇₉	—	2	1	no	—
293	D₄×Dic₇₉	—	2	1	no	—
294	C₄×C₂²⋊D₇₉	—	2	1	no	—
295	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
296	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
297	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
298	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
299	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
300	#14579120	C₂³	1	1	yes	characteristic
301	#14579119	—	2	1	no	—
302	#14579119	—	2	1	no	—
303	#14579118	—	2	1	no	—
304	#14579117	—	2	1	no	—
305	#14579117	—	2	1	no	—
306	#14579117	—	2	1	no	—
307	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
309	C₂×Dic₇₉⋊C₄	—	2	1	no	—
310	C₄⋊C₄×D₇₉	—	2	1	no	—
311	C₂×C₄×Dic₇₉	—	2	1	no	—
312	#14579094	C₂³	1	1	yes	characteristic
313	#14579094	C₂³	1	1	yes	characteristic
314	#14579094	C₂³	1	1	yes	characteristic
315	#14579094	C₂³	1	1	yes	characteristic
316	#14579094	C₂³	1	1	yes	characteristic
317	#14579094	C₂³	1	1	yes	characteristic
318	#14579092	C₂³	1	1	yes	characteristic
319	#14579092	C₂³	1	1	yes	characteristic
320	#14579092	C₂³	1	1	yes	characteristic
321	#14579092	C₂³	1	1	yes	characteristic
322	#14579092	C₂³	1	1	yes	characteristic
323	#14579092	C₂³	1	1	yes	characteristic
324	#14579092	C₂³	1	1	yes	characteristic
325	#14579092	C₂³	1	1	yes	characteristic
326	#14579092	C₂³	1	1	yes	characteristic
327	#14579092	C₂³	1	1	yes	characteristic
328	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
331	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
332	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
334	#14579085	C₂³	1	1	yes	characteristic
335	#14579085	C₂³	1	1	yes	characteristic
336	#14579085	C₂³	1	1	yes	characteristic
337	#14579085	C₂³	1	1	yes	characteristic
338	#14579084	C₂³	1	1	yes	characteristic
339	#14579084	C₂³	1	1	yes	characteristic
340	#14579084	C₂³	1	1	yes	characteristic
341	#14579084	C₂³	1	1	yes	characteristic
342	#14579084	C₂³	1	1	yes	characteristic
343	#14579084	C₂³	1	1	yes	characteristic
344	#14579084	C₂³	1	1	yes	characteristic
345	#14579084	C₂³	1	1	yes	characteristic
346	#14579084	C₂³	1	1	yes	characteristic
347	#14579084	C₂³	1	1	yes	characteristic
348	#14579084	C₂³	1	1	yes	characteristic
349	#14579084	C₂³	1	1	yes	characteristic
350	#14579082	C₂³	1	1	yes	characteristic
351	#14579082	C₂³	1	1	yes	characteristic
352	#14579082	C₂³	1	1	yes	characteristic
353	#14579082	C₂³	1	1	yes	characteristic
354	#14579082	C₂³	1	1	yes	characteristic
355	#14579082	C₂³	1	1	yes	characteristic
356	#14579082	C₂³	1	1	yes	characteristic
357	#14579082	C₂³	1	1	yes	characteristic
358	#14579082	C₂³	1	1	yes	characteristic
359	#14579082	C₂³	1	1	yes	characteristic
360	#14579082	C₂³	1	1	yes	characteristic
361	#14579082	C₂³	1	1	yes	characteristic
362	#14579081	C₂³	1	1	yes	characteristic
363	#14579081	C₂³	1	1	yes	characteristic
364	#14579081	C₂³	1	1	yes	characteristic
365	#14579081	C₂³	1	1	yes	characteristic
366	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
367	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
368	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
369	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
370	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
371	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
372	#14579072	C₂³	1	1	yes	characteristic
373	#14579072	C₂³	1	1	yes	characteristic
374	#14579072	C₂³	1	1	yes	characteristic
375	#14579072	C₂³	1	1	yes	characteristic
376	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
377	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
378	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
379	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
380	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
381	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
382	C₂×#41×C₇₉	—	2	1	no	—
383	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
384	C₂²×D₄×C₇₉	—	2	1	no	—
385	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
386	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
387	C₂³×C₄×C₇₉	—	2	1	no	—
388	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
389	#127×C₇₉	C₂³	1	1	yes	characteristic
390	#126×C₇₉	—	2	1	no	—
391	#126×C₇₉	—	2	1	no	—
392	#126×C₇₉	—	2	1	no	—
393	#126×C₇₉	—	2	1	no	—
394	#126×C₇₉	D₄	1	1	yes	characteristic
395	#126×C₇₉	D₄	1	1	yes	characteristic
396	#125×C₇₉	—	2	1	no	—
397	#125×C₇₉	D₄	1	1	yes	characteristic
398	#125×C₇₉	C₂³	1	1	yes	characteristic
399	#125×C₇₉	C₂³	1	1	yes	characteristic
400	#124×C₇₉	—	2	1	no	—
401	#124×C₇₉	—	2	1	no	—
402	#124×C₇₉	D₄	1	1	yes	characteristic
403	#124×C₇₉	C₂³	1	1	yes	characteristic
404	#124×C₇₉	C₂³	1	1	yes	characteristic
405	#123×C₇₉	—	2	1	no	—
406	#123×C₇₉	—	2	1	no	—
407	#123×C₇₉	—	2	1	no	—
408	#123×C₇₉	—	2	1	no	—
409	#123×C₇₉	—	2	1	no	—
410	#123×C₇₉	—	2	1	no	—
411	#123×C₇₉	—	2	1	no	—
412	#123×C₇₉	—	2	1	no	—
413	#123×C₇₉	—	2	1	no	—
414	#123×C₇₉	—	2	1	no	—
415	#123×C₇₉	—	2	1	no	—
416	#123×C₇₉	—	2	1	no	—
417	#123×C₇₉	D₄	1	1	yes	characteristic
418	#123×C₇₉	D₄	1	1	yes	characteristic
419	C₂²⋊Q₈×C₇₉	—	2	1	no	—
420	C₂²⋊Q₈×C₇₉	—	2	1	no	—
421	C₂²⋊Q₈×C₇₉	—	2	1	no	—
422	C₂²⋊Q₈×C₇₉	—	2	1	no	—
423	C₂²⋊Q₈×C₇₉	—	2	1	no	—
424	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
425	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
426	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
427	#121×C₇₉	—	2	1	no	—
428	#121×C₇₉	—	2	1	no	—
429	#121×C₇₉	—	2	1	no	—
430	#121×C₇₉	—	2	1	no	—
431	#121×C₇₉	—	2	1	no	—
432	#121×C₇₉	—	2	1	no	—
433	#121×C₇₉	D₄	1	1	yes	characteristic
434	#121×C₇₉	C₂³	1	1	yes	characteristic
435	#121×C₇₉	C₂³	1	1	yes	characteristic
436	#121×C₇₉	C₂³	1	1	yes	characteristic
437	#121×C₇₉	C₂³	1	1	yes	characteristic
438	#120×C₇₉	—	2	1	no	—
439	#120×C₇₉	—	2	1	no	—
440	#120×C₇₉	—	2	1	no	—
441	#120×C₇₉	—	2	1	no	—
442	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
443	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
444	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
445	C₄×D₄×C₇₉	—	2	1	no	—
446	C₄×D₄×C₇₉	—	2	1	no	—
447	C₄×D₄×C₇₉	—	2	1	no	—
448	C₄×D₄×C₇₉	—	2	1	no	—
449	C₄×D₄×C₇₉	—	2	1	no	—
450	C₄×D₄×C₇₉	—	2	1	no	—
451	C₄×D₄×C₇₉	—	2	1	no	—
452	C₄×D₄×C₇₉	—	2	1	no	—
453	C₄×D₄×C₇₉	—	2	1	no	—
454	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
465	#117×C₇₉	—	2	1	no	—
466	#117×C₇₉	—	2	1	no	—
467	#117×C₇₉	—	2	1	no	—
468	#117×C₇₉	C₂³	1	1	yes	characteristic
469	#117×C₇₉	C₂³	1	1	yes	characteristic
470	#117×C₇₉	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
472	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
473	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
475	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
476	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
477	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
478	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
479	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
480	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
481	#11929624	—	2	2	no	—
482	#11929624	—	4	1	no	—
483	C₂×Dic₁₅₈	—	2	2	no	—
484	C₂×Dic₁₅₈	—	2	2	no	—
485	C₂×Dic₁₅₈	—	2	1	no	—
486	C₂×Dic₁₅₈	—	2	1	no	—
487	C₂×Dic₁₅₈	—	2	1	no	—
488	C₂×Dic₁₅₈	—	4	1	no	—
489	C₂×Dic₁₅₈	—	4	1	no	—
490	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
491	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
492	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
493	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
494	C₂×C₂²⋊D₇₉	—	2	1	no	—
495	C₂×C₂²⋊D₇₉	—	2	1	no	—
496	C₂×C₂²⋊D₇₉	—	2	1	no	—
497	C₂²×Dic₇₉	—	2	1	no	—
498	C₂²×Dic₇₉	—	2	1	no	—
499	C₂²×Dic₇₉	—	2	1	no	—
500	C₂²×Dic₇₉	—	2	1	no	—
501	C₂×C₄×D₇₉	—	2	1	no	—
502	C₂×C₄×D₇₉	—	2	1	no	—
503	C₂×C₄×D₇₉	—	2	1	no	—
504	#11929614	—	2	2	no	—
505	#11929614	—	4	1	no	—
506	#11929614	—	4	1	no	—
507	#11929612	—	2	2	no	—
508	#11929612	—	2	2	no	—
509	#11929612	—	2	2	no	—
510	#11929612	—	2	2	no	—
511	#11929612	—	2	2	no	—
512	#11929612	—	2	2	no	—
513	#11929612	—	4	1	no	—
514	#11929612	—	4	1	no	—
515	#11929612	#41	1	4	yes	complemented
516	#11929611	—	2	2	no	—
517	#11929609	—	2	2	no	—
518	#11929609	—	4	1	no	—
519	#11929609	—	4	1	no	—
520	#11929608	—	4	1	no	—
521	#11929608	—	4	1	no	—
522	C₂×C₇₉⋊C₈	—	2	2	no	—
523	C₂×C₇₉⋊C₈	—	2	2	no	—
524	C₂×C₇₉⋊C₈	—	2	2	no	—
525	C₂×C₇₉⋊C₈	—	4	1	no	—
526	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
534	C₄⋊Dic₇₉	—	2	1	no	—
535	C₄⋊Dic₇₉	—	2	1	no	—
536	C₄⋊Dic₇₉	—	2	1	no	—
537	C₄⋊Dic₇₉	—	2	1	no	—
538	C₄⋊Dic₇₉	—	2	1	no	—
539	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
540	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
541	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
542	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
543	Dic₇₉⋊C₄	—	2	1	no	—
544	Dic₇₉⋊C₄	—	2	1	no	—
545	Dic₇₉⋊C₄	—	2	1	no	—
546	Dic₇₉⋊C₄	—	2	1	no	—
547	Dic₇₉⋊C₄	—	2	1	no	—
548	Dic₇₉⋊C₄	—	2	1	no	—
549	Dic₇₉⋊C₄	—	2	1	no	—
550	Dic₇₉⋊C₄	—	2	1	no	—
551	Dic₇₉⋊C₄	—	2	1	no	—
552	Dic₇₉⋊C₄	—	2	1	no	—
553	Dic₇₉⋊C₄	—	2	1	no	—
554	Dic₇₉⋊C₄	—	2	1	no	—
555	Dic₇₉⋊C₄	—	2	1	no	—
556	Dic₇₉⋊C₄	—	2	1	no	—
557	Dic₇₉⋊C₄	—	2	1	no	—
558	Dic₇₉⋊C₄	—	2	1	no	—
559	C₂²⋊Dic₇₉	—	2	1	no	—
560	C₂²⋊Dic₇₉	—	2	1	no	—
561	C₂²⋊Dic₇₉	—	2	1	no	—
562	C₂²⋊Dic₇₉	—	2	1	no	—
563	C₂²⋊Dic₇₉	—	2	1	no	—
564	(C₂×D₇₉)⋊C₄	—	2	1	no	—
565	(C₂×D₇₉)⋊C₄	—	2	1	no	—
566	(C₂×D₇₉)⋊C₄	—	2	1	no	—
567	(C₂×D₇₉)⋊C₄	—	2	1	no	—
568	(C₂×D₇₉)⋊C₄	—	2	1	no	—
569	(C₂×D₇₉)⋊C₄	—	2	1	no	—
570	(C₂×D₇₉)⋊C₄	—	2	1	no	—
571	(C₂×D₇₉)⋊C₄	—	2	1	no	—
572	C₄×Dic₇₉	—	2	1	no	—
573	C₄×Dic₇₉	—	2	1	no	—
574	C₄×Dic₇₉	—	2	1	no	—
575	C₄×Dic₇₉	—	2	1	no	—
576	C₄×Dic₇₉	—	2	1	no	—
577	C₄×Dic₇₉	—	2	1	no	—
578	C₄×Dic₇₉	—	2	1	no	—
579	C₄×Dic₇₉	—	2	1	no	—
580	C₄×Dic₇₉	—	2	1	no	—
581	C₂⁴×C₇₉	—	2	1	no	—
582	C₂⁴×C₇₉	—	2	1	no	—
583	#41×C₇₉	—	2	2	no	—
584	#41×C₇₉	—	4	1	no	—
585	#41×C₇₉	—	8	2	no	—
586	C₂×Q₈×C₇₉	—	2	1	no	—
587	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
588	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
589	C₂×D₄×C₇₉	—	2	2	no	—
590	C₂×D₄×C₇₉	—	2	2	no	—
591	C₂×D₄×C₇₉	—	2	1	no	—
592	C₂×D₄×C₇₉	—	2	1	no	—
593	C₂×D₄×C₇₉	—	2	1	no	—
594	C₂×D₄×C₇₉	—	2	1	no	—
595	C₂×D₄×C₇₉	—	2	1	no	—
596	C₂×D₄×C₇₉	—	2	1	no	—
597	C₂×D₄×C₇₉	—	2	1	no	—
598	C₂×D₄×C₇₉	—	2	1	no	—
599	C₂×D₄×C₇₉	—	2	1	no	—
600	C₂×D₄×C₇₉	—	4	1	no	—
601	C₂×D₄×C₇₉	—	4	1	no	—
602	C₂×D₄×C₇₉	—	8	2	no	—
603	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
604	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
605	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
606	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
607	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
608	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₇₉	—	2	1	no	—
610	C₂²×C₄×C₇₉	—	2	1	no	—
611	C₂²×C₄×C₇₉	—	2	1	no	—
612	C₂²×C₄×C₇₉	—	2	1	no	—
613	C₂²×C₄×C₇₉	—	2	1	no	—
614	C₂²×C₄×C₇₉	—	2	1	no	—
615	C₂²×C₄×C₇₉	—	2	1	no	—
616	C₂²×C₄×C₇₉	—	2	1	no	—
617	C₂²×C₄×C₇₉	—	2	1	no	—
618	C₂²×C₄×C₇₉	—	2	1	no	—
619	C₂²×C₄×C₇₉	—	2	1	no	—
620	C₂²×C₄×C₇₉	—	8	2	no	—
621	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
622	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
623	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₇₉	—	2	1	no	—
627	C₄⋊C₄×C₇₉	—	2	1	no	—
628	C₄⋊C₄×C₇₉	—	2	1	no	—
629	C₄⋊C₄×C₇₉	—	2	1	no	—
630	C₄⋊C₄×C₇₉	—	2	1	no	—
631	C₄⋊C₄×C₇₉	—	2	1	no	—
632	C₄⋊C₄×C₇₉	—	2	1	no	—
633	C₄⋊C₄×C₇₉	—	2	1	no	—
634	C₄⋊C₄×C₇₉	—	2	1	no	—
635	C₄⋊C₄×C₇₉	—	2	1	no	—
636	C₄⋊C₄×C₇₉	—	2	1	no	—
637	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
644	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
645	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
646	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
647	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
649	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
650	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
651	C₂²⋊C₄×C₇₉	—	2	1	no	—
652	C₂²⋊C₄×C₇₉	—	2	1	no	—
653	C₂²⋊C₄×C₇₉	—	2	1	no	—
654	C₂²⋊C₄×C₇₉	—	2	1	no	—
655	C₂²⋊C₄×C₇₉	—	2	1	no	—
656	C₂²⋊C₄×C₇₉	—	2	1	no	—
657	C₂²⋊C₄×C₇₉	—	2	1	no	—
658	C₂²⋊C₄×C₇₉	—	2	1	no	—
659	C₂²⋊C₄×C₇₉	—	2	1	no	—
660	C₂²⋊C₄×C₇₉	—	2	1	no	—
661	C₂²⋊C₄×C₇₉	—	2	1	no	—
662	C₂²⋊C₄×C₇₉	—	2	1	no	—
663	C₂²⋊C₄×C₇₉	—	2	1	no	—
664	C₂²⋊C₄×C₇₉	—	2	1	no	—
665	C₂²⋊C₄×C₇₉	—	2	1	no	—
666	C₂²⋊C₄×C₇₉	—	2	1	no	—
667	C₂²⋊C₄×C₇₉	—	2	1	no	—
668	C₂²⋊C₄×C₇₉	—	2	1	no	—
669	C₂²⋊C₄×C₇₉	—	2	1	no	—
670	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
673	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
676	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₇₉	—	2	1	no	—
681	C₄²×C₇₉	—	2	1	no	—
682	C₄²×C₇₉	—	2	1	no	—
683	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
686	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
687	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
688	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
689	C₂³×C₇₉	—	2	1	no	—
690	C₂³×C₇₉	—	2	1	no	—
691	C₂³×C₇₉	—	2	1	no	—
692	C₂³×C₇₉	—	4	2	no	—
693	C₂³×C₇₉	—	4	2	no	—
694	C₂³×C₇₉	—	4	2	no	—
695	C₂³×C₇₉	—	8	1	no	—
696	C₂³×C₇₉	—	8	1	no	—
697	C₂³×C₇₉	—	8	1	no	—
698	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
699	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
700	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
701	C₂²×D₇₉	—	2	1	no	—
702	Q₈×C₇₉	—	2	1	no	—
703	Q₈×C₇₉	—	2	1	no	—
704	Q₈×C₇₉	—	4	1	no	—
705	Q₈×C₇₉	—	8	1	no	—
706	D₄×C₇₉	—	2	2	no	—
707	D₄×C₇₉	—	2	2	no	—
708	D₄×C₇₉	—	2	1	no	—
709	D₄×C₇₉	—	2	1	no	—
710	D₄×C₇₉	—	2	1	no	—
711	D₄×C₇₉	—	2	1	no	—
712	D₄×C₇₉	—	2	1	no	—
713	D₄×C₇₉	—	4	1	no	—
714	D₄×C₇₉	—	4	2	no	—
715	D₄×C₇₉	—	4	2	no	—
716	D₄×C₇₉	—	4	2	no	—
717	D₄×C₇₉	—	4	2	no	—
718	D₄×C₇₉	—	8	1	no	—
719	D₄×C₇₉	—	8	1	no	—
720	D₄×C₇₉	—	8	1	no	—
721	D₄×C₇₉	—	8	1	no	—
722	D₄×C₇₉	—	8	1	no	—
723	D₄×C₇₉	C₂×#41	1	2	yes	—
724	C₂×C₄×C₇₉	—	2	2	no	—
725	C₂×C₄×C₇₉	—	2	1	no	—
726	C₂×C₄×C₇₉	—	2	1	no	—
727	C₂×C₄×C₇₉	—	2	1	no	—
728	C₂×C₄×C₇₉	—	2	1	no	—
729	C₂×C₄×C₇₉	—	2	1	no	—
730	C₂×C₄×C₇₉	—	2	1	no	—
731	C₂×C₄×C₇₉	—	2	1	no	—
732	C₂×C₄×C₇₉	—	2	1	no	—
733	C₂×C₄×C₇₉	—	2	1	no	—
734	C₂×C₄×C₇₉	—	2	1	no	—
735	C₂×C₄×C₇₉	—	2	1	no	—
736	C₂×C₄×C₇₉	—	4	1	no	—
737	C₂×C₄×C₇₉	—	4	2	no	—
738	C₂×C₄×C₇₉	—	4	2	no	—
739	C₂×C₄×C₇₉	—	8	1	no	—
740	C₂×C₄×C₇₉	—	8	1	no	—
741	C₂×C₄×C₇₉	—	8	1	no	—
742	C₂×C₄×C₇₉	—	8	1	no	—
743	C₂×C₄×C₇₉	—	8	1	no	—
744	C₂×C₄×C₇₉	—	8	1	no	—
745	C₂×C₄×C₇₉	—	8	1	no	—
746	C₂×C₄×C₇₉	—	8	1	no	—
747	C₂×C₄×C₇₉	—	8	1	no	—
748	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
760	C₂²⋊D₇₉	—	4	2	no	—
761	C₂²⋊D₇₉	—	4	2	no	—
762	C₂²⋊D₇₉	—	8	1	no	—
763	C₂×Dic₇₉	—	2	1	no	—
764	C₂×Dic₇₉	—	2	1	no	—
765	C₂×Dic₇₉	—	2	1	no	—
766	C₂×Dic₇₉	—	2	1	no	—
767	C₂×Dic₇₉	—	2	1	no	—
768	C₂×Dic₇₉	—	2	1	no	—
769	C₂×Dic₇₉	—	2	1	no	—
770	C₂×Dic₇₉	—	4	2	no	—
771	C₂×Dic₇₉	—	4	2	no	—
772	C₂×Dic₇₉	—	8	1	no	—
773	C₂×Dic₇₉	—	8	1	no	—
774	D₃₁₆	—	2	1	no	—
775	D₃₁₆	—	2	1	no	—
776	C₄×D₇₉	—	4	2	no	—
777	C₄×D₇₉	—	8	1	no	—
778	C₄×D₇₉	—	8	1	no	—
779	Dic₁₅₈	—	2	1	no	—
780	Dic₁₅₈	—	2	1	no	—
781	Dic₁₅₈	—	2	1	no	—
782	Dic₁₅₈	—	2	1	no	—
783	Dic₁₅₈	—	2	1	no	—
784	Dic₁₅₈	—	4	2	no	—
785	Dic₁₅₈	—	4	2	no	—
786	Dic₁₅₈	—	8	1	no	—
787	Dic₁₅₈	C₂×#41	1	2	yes	—
788	C₇₉⋊C₈	—	2	1	no	—
789	C₇₉⋊C₈	—	2	1	no	—
790	C₇₉⋊C₈	—	2	1	no	—
791	C₇₉⋊C₈	—	2	1	no	—
792	C₇₉⋊C₈	—	2	1	no	—
793	C₇₉⋊C₈	—	2	1	no	—
794	C₇₉⋊C₈	—	2	1	no	—
795	C₇₉⋊C₈	C₂×#41	1	2	yes	—
796	C₂²×C₇₉	—	2	1	no	—
797	C₂²×C₇₉	—	2	1	no	—
798	C₂²×C₇₉	—	2	1	no	—
799	C₂²×C₇₉	—	2	1	no	—
800	C₂²×C₇₉	—	2	1	no	—
801	C₂²×C₇₉	—	2	1	no	—
802	C₂²×C₇₉	—	2	2	no	—
803	C₂²×C₇₉	—	2	1	no	—
804	C₂²×C₇₉	—	2	1	no	—
805	C₂²×C₇₉	—	4	1	no	—
806	C₂²×C₇₉	—	4	1	no	—
807	C₂²×C₇₉	—	4	1	no	—
808	C₂²×C₇₉	—	4	1	no	—
809	C₂²×C₇₉	—	4	1	no	—
810	C₂²×C₇₉	—	4	1	no	—
811	C₂²×C₇₉	—	4	1	no	—
812	C₂²×C₇₉	—	4	1	no	—
813	C₂²×C₇₉	—	8	4	no	—
814	C₂²×C₇₉	—	16	2	no	—
815	C₂²×C₇₉	#577	1	2	yes	—
816	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
817	C₂×D₇₉	—	4	1	no	—
818	C₂×D₇₉	—	4	1	no	—
819	C₂×D₇₉	—	4	1	no	—
820	C₄×C₇₉	—	2	1	no	—
821	C₄×C₇₉	—	2	1	no	—
822	C₄×C₇₉	—	2	1	no	—
823	C₄×C₇₉	—	2	1	no	—
824	C₄×C₇₉	—	2	1	no	—
825	C₄×C₇₉	—	2	1	no	—
826	C₄×C₇₉	—	2	1	no	—
827	C₄×C₇₉	—	2	1	no	—
828	C₄×C₇₉	—	2	1	no	—
829	C₄×C₇₉	—	2	1	no	—
830	C₄×C₇₉	—	2	1	no	—
831	C₄×C₇₉	—	4	1	no	—
832	C₄×C₇₉	—	4	1	no	—
833	C₄×C₇₉	—	4	1	no	—
834	C₄×C₇₉	—	4	1	no	—
835	C₄×C₇₉	—	4	1	no	—
836	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
837	C₄×C₇₉	#585	1	1	yes	characteristic
838	Dic₇₉	—	2	2	no	—
839	Dic₇₉	—	4	1	no	—
840	Dic₇₉	—	4	1	no	—
841	Dic₇₉	—	4	1	no	—
842	Dic₇₉	—	4	1	no	—
843	Dic₇₉	—	4	1	no	—
844	Dic₇₉	—	4	1	no	—
845	#61472	—	79	1	no	maximal, Sylow
846	C₂×C₇₉	—	2	2	no	—
847	C₂×C₇₉	—	4	1	no	—
848	C₂×C₇₉	—	4	1	no	—
849	C₂×C₇₉	—	4	2	no	—
850	C₂×C₇₉	—	8	1	no	—
851	C₂×C₇₉	—	8	1	no	—
852	C₂×C₇₉	D₄×#41	1	1	yes	characteristic
853	C₂×C₇₉	C₂×#577	1	1	yes	characteristic
854	C₂×C₇₉	#3584	1	1	yes	characteristic
855	D₇₉	—	8	1	no	—
856	#3516	—	79	1	no	—
857	#3513	D₇₉	1	1	yes	characteristic, complemented
858	#3394	—	79	1	no	—
859	#3381	—	79	1	no	—
860	#3376	—	79	1	no	—
861	#3371	—	79	1	no	—
862	#3337	—	79	1	no	—
863	#3337	—	79	1	no	—
864	#3335	—	79	1	no	—
865	#3326	—	79	1	no	—
866	#3323	—	79	1	no	—
867	#3318	—	79	1	no	—
868	#3314	—	79	1	no	—
869	#3312	—	79	1	no	—
870	#3308	—	79	1	no	—
871	#3282	—	79	1	no	—
872	#3282	—	79	1	no	—
873	D₄×SD₁₆	—	79	1	no	—
874	#3174	—	79	1	no	—
875	#3173	—	79	1	no	—
876	#3168	—	79	1	no	—
877	#3121	—	79	1	no	—
878	#3120	—	79	1	no	—
879	#3119	—	79	1	no	—
880	#3118	—	79	1	no	—
881	#3117	—	79	1	no	—
882	#3114	—	79	1	no	—
883	#2966	—	79	1	no	—
884	#2952	—	79	1	no	—
885	#2949	—	79	1	no	—
886	C₂×C₄×SD₁₆	—	79	1	no	—
887	C₇₉	#61472	1	1	yes	characteristic, complemented, Sylow
888	C₂×#135	—	79	1	no	—
889	C₂²×SD₁₆	—	79	1	no	—
890	C₂²×SD₁₆	—	79	1	no	—
891	#559	C₂×D₇₉	1	1	yes	characteristic
892	#557	—	79	1	no	—
893	#556	—	79	1	no	—
894	#556	—	158	1	no	—
895	#554	—	79	1	no	—
896	#554	—	158	1	no	—
897	#554	C₂×D₇₉	1	1	yes	characteristic
898	#553	—	2	1	no	—
899	#553	—	79	1	no	—
900	#553	—	158	1	no	—
901	#553	C₂×D₇₉	1	1	yes	characteristic
902	#552	—	79	1	no	—
903	#552	—	158	1	no	—
904	#552	C₂×D₇₉	1	1	yes	characteristic
905	#551	—	2	1	no	—
906	#551	—	2	1	no	—
907	D₄×Q₈	—	79	1	no	—
908	#548	—	79	1	no	—
909	#548	—	79	1	no	—
910	#547	C₂×D₇₉	1	1	yes	characteristic
911	#546	—	2	1	no	—
912	#546	C₂×D₇₉	1	1	yes	characteristic
913	#546	C₂×D₇₉	1	1	yes	characteristic
914	D₄²	C₂×D₇₉	1	1	yes	characteristic
915	#542	—	79	1	no	—
916	#542	—	158	1	no	—
917	#542	C₂×D₇₉	1	1	yes	characteristic
918	#541	—	79	1	no	—
919	#541	—	158	1	no	—
920	#540	C₂×D₇₉	1	1	yes	characteristic
921	#539	—	2	1	no	—
922	#538	—	2	1	no	—
923	#529	—	79	1	no	—
924	#529	—	158	1	no	—
925	#529	—	158	1	no	—
926	#529	C₂×D₇₉	1	1	yes	characteristic
927	#529	C₂×D₇₉	1	1	yes	characteristic
928	#525	—	2	1	no	—
929	C₂×#123	—	2	1	no	—
930	#520	—	79	1	no	—
931	#520	C₂×D₇₉	1	1	yes	characteristic
932	#519	—	79	1	no	—
933	#518	C₂×D₇₉	1	1	yes	characteristic
934	C₂×C₄×Q₈	—	79	1	no	—
935	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
936	#499	—	79	1	no	—
937	#499	—	79	1	no	—
938	#498	—	79	1	no	—
939	#495	—	79	1	no	—
940	#495	—	79	1	no	—
941	#492	—	79	1	no	—
942	#491	—	79	1	no	—
943	#490	—	79	1	no	—
944	#489	—	79	1	no	—
945	#489	—	79	1	no	—
946	#488	—	79	1	no	—
947	#488	—	79	1	no	—
948	#485	—	79	1	no	—
949	#485	—	79	1	no	—
950	#484	—	79	1	no	—
951	#484	—	79	1	no	—
952	#483	—	79	1	no	—
953	#483	—	79	1	no	—
954	#482	—	79	1	no	—
955	#482	—	79	1	no	—
956	#481	—	79	1	no	—
957	#481	—	79	1	no	—
958	#480	—	79	1	no	—
959	#480	—	79	1	no	—
960	#479	—	79	1	no	—
961	#479	—	79	1	no	—
962	#479	—	79	1	no	—
963	#479	—	79	1	no	—
964	#478	—	79	1	no	—
965	#478	—	79	1	no	—
966	#478	—	79	1	no	—
967	#478	—	79	1	no	—
968	#477	—	79	1	no	—
969	#476	—	79	1	no	—
970	#475	—	79	1	no	—
971	#474	—	79	1	no	—
972	#470	—	79	1	no	—
973	#469	—	79	1	no	—
974	#468	—	79	1	no	—
975	#468	—	79	1	no	—
976	#467	—	79	1	no	—
977	#466	—	79	1	no	—
978	#465	—	79	1	no	—
979	#465	—	79	1	no	—
980	#465	—	79	1	no	—
981	#465	—	79	1	no	—
982	#465	—	79	1	no	—
983	#465	—	79	1	no	—
984	#464	—	79	1	no	—
985	#464	—	79	1	no	—
986	#464	—	79	1	no	—
987	#464	—	79	1	no	—
988	#463	—	79	1	no	—
989	#463	—	79	1	no	—
990	#463	—	79	1	no	—
991	#463	—	79	1	no	—
992	#462	—	79	1	no	—
993	#461	—	79	1	no	—
994	#460	—	79	1	no	—
995	#459	—	79	1	no	—
996	#452	—	79	1	no	—
997	#452	—	79	1	no	—
998	#451	—	79	1	no	—
999	#451	—	79	1	no	—
1000	#450	—	79	1	no	—
1001	#450	—	79	1	no	—
1002	#449	—	79	1	no	—
1003	#449	—	79	1	no	—
1004	#448	—	79	1	no	—
1005	#448	—	79	1	no	—
1006	#447	—	79	1	no	—
1007	#447	—	79	1	no	—
1008	#446	—	79	1	no	—
1009	C₈×Q₈	—	79	1	no	—
1010	#442	—	79	1	no	—
1011	#442	—	79	1	no	—
1012	#442	—	79	1	no	—
1013	#441	—	79	1	no	—
1014	#441	—	79	1	no	—
1015	#441	—	79	1	no	—
1016	#440	—	79	1	no	—
1017	#440	—	79	1	no	—
1018	#440	—	79	1	no	—
1019	#440	—	79	1	no	—
1020	#440	—	79	1	no	—
1021	#440	—	79	1	no	—
1022	C₄×Q₁₆	—	79	1	no	—
1023	C₄×SD₁₆	—	79	1	no	—
1024	C₄×SD₁₆	—	79	1	no	—
1025	C₄×SD₁₆	—	79	1	no	—
1026	C₄×SD₁₆	—	79	1	no	—
1027	C₄×SD₁₆	—	79	1	no	—
1028	C₄×SD₁₆	—	79	1	no	—
1029	C₄×SD₁₆	—	79	1	no	—
1030	C₄×SD₁₆	—	79	1	no	—
1031	C₄×SD₁₆	—	79	1	no	—
1032	C₄×SD₁₆	—	79	1	no	—
1033	C₄×SD₁₆	—	79	1	no	—
1034	C₄×SD₁₆	—	79	1	no	—
1035	C₄×SD₁₆	—	79	1	no	—
1036	C₄×SD₁₆	—	79	1	no	—
1037	C₄×D₈	—	79	1	no	—
1038	#436	—	79	1	no	—
1039	#435	—	79	1	no	—
1040	#435	—	79	1	no	—
1041	C₈×D₄	—	79	1	no	—
1042	C₈×D₄	—	79	1	no	—
1043	C₈×D₄	—	79	1	no	—
1044	#433	—	79	1	no	—
1045	#433	—	79	1	no	—
1046	#432	—	79	1	no	—
1047	#427	—	79	1	no	—
1048	C₂×#106	—	79	1	no	—
1049	C₂×#106	—	79	1	no	—
1050	#419	—	79	1	no	—
1051	#418	—	79	1	no	—
1052	#417	—	79	1	no	—
1053	#417	—	79	1	no	—
1054	C₂×#103	—	79	1	no	—
1055	C₂×#102	—	79	1	no	—
1056	#405	—	79	1	no	—
1057	#405	—	79	1	no	—
1058	C₂×C₄×C₈	—	79	1	no	—
1059	C₂×#41	—	2	1	no	—
1060	C₂×#41	—	79	1	no	—
1061	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1062	C₂²×Q₈	—	79	1	no	—
1063	C₂²×Q₈	—	79	1	no	—
1064	C₂²×D₄	—	2	1	no	—
1065	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1066	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1067	C₂³×C₄	—	2	1	no	—
1068	#135	—	158	4	no	—
1069	C₂×Q₁₆	—	79	1	no	—
1070	C₂×Q₁₆	—	79	1	no	—
1071	C₂×Q₁₆	—	79	1	no	—
1072	C₂×SD₁₆	—	79	1	no	—
1073	C₂×SD₁₆	—	79	1	no	—
1074	C₂×SD₁₆	—	79	1	no	—
1075	C₂×SD₁₆	—	79	1	no	—
1076	C₂×SD₁₆	—	79	1	no	—
1077	C₂×SD₁₆	—	79	1	no	—
1078	C₂×SD₁₆	—	79	1	no	—
1079	C₂×SD₁₆	—	79	1	no	—
1080	C₂×SD₁₆	—	79	1	no	—
1081	C₂×SD₁₆	—	79	1	no	—
1082	C₂×SD₁₆	—	158	4	no	—
1083	C₂×SD₁₆	—	158	4	no	—
1084	C₂×D₈	—	79	1	no	—
1085	C₂×D₈	—	79	1	no	—
1086	C₂×D₈	—	79	1	no	—
1087	C₂×M₁₆	—	79	1	no	—
1088	C₂×M₁₆	—	79	1	no	—
1089	C₂²×C₈	—	79	1	no	—
1090	C₂²×C₈	—	79	1	no	—
1091	C₂²×C₈	—	79	1	no	—
1092	C₂²×C₈	—	79	1	no	—
1093	C₄⋊Q₈	—	79	1	no	—
1094	C₄⋊Q₈	—	79	1	no	—
1095	C₄⋊Q₈	—	158	1	no	—
1096	C₄⋊Q₈	—	158	1	no	—
1097	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
1098	#127	C₂²×D₇₉	1	1	yes	characteristic
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	158	1	no	—
1104	#126	—	158	1	no	—
1105	#126	—	158	1	no	—
1106	#126	—	158	1	no	—
1107	#126	—	158	1	no	—
1108	#126	—	158	1	no	—
1109	#126	—	158	1	no	—
1110	#126	—	158	1	no	—
1111	#126	C₂²⋊D₇₉	1	1	yes	characteristic
1112	#126	C₂²⋊D₇₉	1	1	yes	characteristic
1113	#125	—	2	1	no	—
1114	#125	—	79	1	no	—
1115	#125	—	79	1	no	—
1116	#125	—	158	1	no	—
1117	#125	—	158	1	no	—
1118	#125	—	158	1	no	—
1119	#125	—	158	1	no	—
1120	#125	—	158	1	no	—
1121	#125	—	158	1	no	—
1122	#125	C₂²⋊D₇₉	1	1	yes	characteristic
1123	#125	C₂²×D₇₉	1	1	yes	characteristic
1124	#125	C₂²×D₇₉	1	1	yes	characteristic
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	79	1	no	—
1128	#124	—	79	1	no	—
1129	#124	—	158	1	no	—
1130	#124	—	158	1	no	—
1131	#124	—	158	1	no	—
1132	#124	C₂²⋊D₇₉	1	1	yes	characteristic
1133	#124	C₂²×D₇₉	1	1	yes	characteristic
1134	#124	C₂²×D₇₉	1	1	yes	characteristic
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	158	1	no	—
1148	#123	—	158	1	no	—
1149	#123	—	158	1	no	—
1150	#123	—	158	1	no	—
1151	#123	C₂²⋊D₇₉	1	1	yes	characteristic
1152	#123	C₂²⋊D₇₉	1	1	yes	characteristic
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	79	1	no	—
1159	C₂²⋊Q₈	—	79	1	no	—
1160	C₂²⋊Q₈	—	79	1	no	—
1161	C₂²⋊Q₈	—	79	1	no	—
1162	C₂²⋊Q₈	—	158	1	no	—
1163	C₂²⋊Q₈	—	158	1	no	—
1164	C₂²⋊Q₈	—	158	1	no	—
1165	C₂²⋊Q₈	—	158	1	no	—
1166	C₂²⋊Q₈	—	158	1	no	—
1167	C₂²⋊Q₈	—	158	1	no	—
1168	C₂²⋊Q₈	—	158	1	no	—
1169	C₂²⋊Q₈	—	158	1	no	—
1170	C₂²⋊Q₈	C₂²⋊D₇₉	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	79	1	no	—
1180	#121	—	79	1	no	—
1181	#121	—	158	1	no	—
1182	#121	—	158	1	no	—
1183	#121	—	158	1	no	—
1184	#121	C₂²⋊D₇₉	1	1	yes	characteristic
1185	#121	C₂²×D₇₉	1	1	yes	characteristic
1186	#121	C₂²×D₇₉	1	1	yes	characteristic
1187	#121	C₂²×D₇₉	1	1	yes	characteristic
1188	#121	C₂²×D₇₉	1	1	yes	characteristic
1189	#120	—	2	1	no	—
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	C₄×Q₈	—	79	1	no	—
1194	C₄×Q₈	—	79	1	no	—
1195	C₄×Q₈	—	79	1	no	—
1196	C₄×Q₈	—	79	1	no	—
1197	C₄×Q₈	—	79	1	no	—
1198	C₄×Q₈	—	79	1	no	—
1199	C₄×Q₈	—	79	1	no	—
1200	C₄×Q₈	—	79	1	no	—
1201	C₄×Q₈	—	158	1	no	—
1202	C₄×Q₈	—	158	1	no	—
1203	C₄×Q₈	—	158	1	no	—
1204	C₄×Q₈	—	158	1	no	—
1205	C₄×Q₈	—	158	1	no	—
1206	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1207	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1208	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	79	1	no	—
1219	C₄×D₄	—	79	1	no	—
1220	C₄×D₄	—	158	1	no	—
1221	C₄×D₄	—	158	1	no	—
1222	C₄×D₄	—	158	1	no	—
1223	C₄×D₄	—	158	1	no	—
1224	C₄×D₄	—	158	1	no	—
1225	C₄×D₄	—	158	1	no	—
1226	C₄×D₄	—	158	1	no	—
1227	C₄×D₄	—	158	1	no	—
1228	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1229	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1230	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1231	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1232	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1233	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1234	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1235	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1237	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	79	1	no	—
1243	#117	—	158	1	no	—
1244	#117	—	158	1	no	—
1245	#117	—	158	1	no	—
1246	#117	—	158	1	no	—
1247	#117	—	158	1	no	—
1248	#117	—	158	1	no	—
1249	#117	C₂²×D₇₉	1	1	yes	characteristic
1250	#117	C₂²×D₇₉	1	1	yes	characteristic
1251	#117	C₂²×D₇₉	1	1	yes	characteristic
1252	C₂×C₄⋊C₄	—	2	1	no	—
1253	C₂×C₄⋊C₄	—	2	1	no	—
1254	C₂×C₄⋊C₄	—	79	1	no	—
1255	C₂×C₄⋊C₄	—	79	1	no	—
1256	C₂×C₄⋊C₄	—	158	1	no	—
1257	C₂×C₄⋊C₄	—	158	1	no	—
1258	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₂²⋊C₄	—	2	1	no	—
1262	C₂×C₂²⋊C₄	—	2	1	no	—
1263	C₂×C₂²⋊C₄	—	2	1	no	—
1264	C₂×C₂²⋊C₄	—	2	1	no	—
1265	C₂×C₄²	—	158	1	no	—
1266	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1267	#107	—	79	1	no	—
1268	#107	—	79	1	no	—
1269	#107	—	79	1	no	—
1270	#107	—	79	1	no	—
1271	#107	—	79	1	no	—
1272	#107	—	79	1	no	—
1273	#106	—	79	1	no	—
1274	#106	—	79	1	no	—
1275	#106	—	79	1	no	—
1276	#106	—	79	1	no	—
1277	#106	—	79	1	no	—
1278	#106	—	79	1	no	—
1279	#106	—	79	1	no	—
1280	#106	—	79	1	no	—
1281	#106	—	79	1	no	—
1282	#106	—	79	1	no	—
1283	C₄⋊C₈	—	79	1	no	—
1284	C₄⋊C₈	—	79	1	no	—
1285	C₄⋊C₈	—	79	1	no	—
1286	C₄⋊C₈	—	79	1	no	—
1287	C₄⋊C₈	—	79	1	no	—
1288	C₄⋊C₈	—	79	1	no	—
1289	#103	—	79	1	no	—
1290	#103	—	79	1	no	—
1291	#103	—	79	1	no	—
1292	#103	—	79	1	no	—
1293	#103	—	79	1	no	—
1294	#103	—	79	1	no	—
1295	#103	—	79	1	no	—
1296	#103	—	79	1	no	—
1297	#103	—	79	1	no	—
1298	#103	—	79	1	no	—
1299	#103	—	79	1	no	—
1300	#103	—	79	1	no	—
1301	#103	—	79	1	no	—
1302	#103	—	79	1	no	—
1303	#103	—	79	1	no	—
1304	#103	—	79	1	no	—
1305	#102	—	79	1	no	—
1306	#102	—	79	1	no	—
1307	#102	—	79	1	no	—
1308	#102	—	79	1	no	—
1309	#102	—	79	1	no	—
1310	#102	—	79	1	no	—
1311	#102	—	79	1	no	—
1312	#102	—	79	1	no	—
1313	#102	—	79	1	no	—
1314	#102	—	79	1	no	—
1315	#102	—	79	1	no	—
1316	#102	—	79	1	no	—
1317	#102	—	79	1	no	—
1318	#102	—	79	1	no	—
1319	#102	—	79	1	no	—
1320	#102	—	79	1	no	—
1321	C₂²⋊C₈	—	79	1	no	—
1322	C₂²⋊C₈	—	79	1	no	—
1323	C₂²⋊C₈	—	79	1	no	—
1324	C₂²⋊C₈	—	79	1	no	—
1325	C₂²⋊C₈	—	79	1	no	—
1326	C₂²⋊C₈	—	79	1	no	—
1327	#97	—	79	1	no	—
1328	#97	—	79	1	no	—
1329	#97	—	79	1	no	—
1330	#97	—	79	1	no	—
1331	C₄×C₈	—	79	1	no	—
1332	C₄×C₈	—	79	1	no	—
1333	C₄×C₈	—	79	1	no	—
1334	C₄×C₈	—	79	1	no	—
1335	C₄×C₈	—	79	1	no	—
1336	C₄×C₈	—	79	1	no	—
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	2	1	no	—
1339	#41	—	2	2	no	—
1340	#41	—	4	1	no	—
1341	#41	—	8	2	no	—
1342	#41	—	316	1	no	—
1343	#41	—	158	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	316	1	no	—
1346	C₂×Q₈	—	316	1	no	—
1347	C₂×Q₈	—	79	1	no	—
1348	C₂×Q₈	—	79	1	no	—
1349	C₂×Q₈	—	79	1	no	—
1350	C₂×Q₈	—	158	2	no	—
1351	C₂×Q₈	—	158	2	no	—
1352	C₂×Q₈	—	158	1	no	—
1353	C₂×Q₈	—	158	1	no	—
1354	C₂×Q₈	—	158	1	no	—
1355	C₂×Q₈	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1356	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1357	C₂×D₄	—	2	2	no	—
1358	C₂×D₄	—	2	2	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	4	1	no	—
1369	C₂×D₄	—	4	1	no	—
1370	C₂×D₄	—	8	2	no	—
1371	C₂×D₄	—	79	1	no	—
1372	C₂×D₄	—	158	1	no	—
1373	C₂×D₄	—	158	1	no	—
1374	C₂×D₄	—	158	1	no	—
1375	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1376	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1377	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1378	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1379	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1380	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	8	2	no	—
1393	C₂²×C₄	—	158	1	no	—
1394	C₂²×C₄	—	158	1	no	—
1395	C₂²×C₄	—	158	1	no	—
1396	C₂²×C₄	—	158	1	no	—
1397	C₂²×C₄	—	158	1	no	—
1398	C₂²×C₄	—	158	1	no	—
1399	C₂²×C₄	—	158	1	no	—
1400	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1401	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1405	Q₁₆	—	316	1	no	—
1406	Q₁₆	—	316	1	no	—
1407	Q₁₆	—	158	2	no	—
1408	SD₁₆	—	316	1	no	—
1409	SD₁₆	—	316	1	no	—
1410	SD₁₆	—	79	4	no	—
1411	SD₁₆	—	158	2	no	—
1412	SD₁₆	—	158	2	no	—
1413	SD₁₆	—	158	2	no	—
1414	SD₁₆	—	158	2	no	—
1415	SD₁₆	—	158	2	no	—
1416	SD₁₆	—	158	2	no	—
1417	SD₁₆	—	158	2	no	—
1418	D₈	—	316	1	no	—
1419	D₈	—	316	1	no	—
1420	D₈	—	158	2	no	—
1421	M₁₆	—	316	1	no	—
1422	M₁₆	—	316	1	no	—
1423	C₂×C₈	—	316	1	no	—
1424	C₂×C₈	—	79	1	no	—
1425	C₂×C₈	—	79	1	no	—
1426	C₂×C₈	—	79	1	no	—
1427	C₂×C₈	—	79	1	no	—
1428	C₂×C₈	—	79	1	no	—
1429	C₂×C₈	—	79	1	no	—
1430	C₂×C₈	—	79	1	no	—
1431	C₂×C₈	—	79	1	no	—
1432	C₂×C₈	—	158	2	no	—
1433	C₂×C₈	—	158	2	no	—
1434	C₂×C₈	—	158	2	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	79	1	no	—
1447	C₄⋊C₄	—	79	1	no	—
1448	C₄⋊C₄	—	79	1	no	—
1449	C₄⋊C₄	—	79	1	no	—
1450	C₄⋊C₄	—	158	1	no	—
1451	C₄⋊C₄	—	158	1	no	—
1452	C₄⋊C₄	—	158	1	no	—
1453	C₄⋊C₄	—	158	1	no	—
1454	C₄⋊C₄	—	158	1	no	—
1455	C₄⋊C₄	—	158	1	no	—
1456	C₄⋊C₄	—	158	1	no	—
1457	C₄⋊C₄	—	158	1	no	—
1458	C₄⋊C₄	—	158	1	no	—
1459	C₄⋊C₄	—	158	1	no	—
1460	C₄⋊C₄	—	158	1	no	—
1461	C₄⋊C₄	—	158	1	no	—
1462	C₄⋊C₄	—	158	1	no	—
1463	C₄⋊C₄	—	158	1	no	—
1464	C₄⋊C₄	—	158	1	no	—
1465	C₄⋊C₄	—	158	1	no	—
1466	C₄⋊C₄	—	158	1	no	—
1467	C₄⋊C₄	—	158	1	no	—
1468	C₄⋊C₄	—	158	1	no	—
1469	C₄⋊C₄	—	158	1	no	—
1470	C₄⋊C₄	—	158	1	no	—
1471	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1481	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1482	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	158	1	no	—
1505	C₂²⋊C₄	—	158	1	no	—
1506	C₂²⋊C₄	—	158	1	no	—
1507	C₂²⋊C₄	—	158	1	no	—
1508	C₂²⋊C₄	—	158	1	no	—
1509	C₂²⋊C₄	—	158	1	no	—
1510	C₂²⋊C₄	—	158	1	no	—
1511	C₂²⋊C₄	—	158	1	no	—
1512	C₂²⋊C₄	—	158	1	no	—
1513	C₂²⋊C₄	—	158	1	no	—
1514	C₂²⋊C₄	—	158	1	no	—
1515	C₂²⋊C₄	—	158	1	no	—
1516	C₂²⋊C₄	—	158	1	no	—
1517	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	158	1	no	—
1531	C₄²	—	158	1	no	—
1532	C₄²	—	158	1	no	—
1533	C₄²	—	158	1	no	—
1534	C₄²	—	158	1	no	—
1535	C₄²	—	158	1	no	—
1536	C₄²	—	158	1	no	—
1537	C₄²	—	158	1	no	—
1538	C₄²	—	158	1	no	—
1539	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1540	C₄²	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1541	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1542	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1543	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1544	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	4	2	no	—
1550	C₂³	—	4	2	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	—	8	1	no	—
1554	C₂³	—	158	1	no	—
1555	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1556	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1557	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	4	1	no	—
1561	Q₈	—	8	1	no	—
1562	Q₈	—	316	2	no	—
1563	Q₈	—	316	2	no	—
1564	Q₈	—	79	2	no	—
1565	Q₈	—	632	1	no	—
1566	Q₈	—	158	1	no	—
1567	Q₈	—	158	1	no	—
1568	Q₈	—	158	1	no	—
1569	Q₈	—	158	1	no	—
1570	Q₈	—	158	1	no	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	2	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	4	1	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	316	2	no	—
1589	D₄	—	316	2	no	—
1590	D₄	—	632	1	no	—
1591	D₄	—	158	1	no	—
1592	D₄	—	158	1	no	—
1593	D₄	#41×D₇₉	1	2	yes	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	316	2	no	—
1619	C₂×C₄	—	316	2	no	—
1620	C₂×C₄	—	316	2	no	—
1621	C₂×C₄	—	632	1	no	—
1622	C₂×C₄	—	632	1	no	—
1623	C₂×C₄	—	632	1	no	—
1624	C₂×C₄	—	632	1	no	—
1625	C₂×C₄	—	158	1	no	—
1626	C₂×C₄	—	158	1	no	—
1627	C₂×C₄	—	158	1	no	—
1628	C₂×C₄	—	158	1	no	—
1629	C₂×C₄	—	158	1	no	—
1630	C₂×C₄	—	158	1	no	—
1631	C₂×C₄	—	158	1	no	—
1632	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1644	C₈	—	79	2	no	—
1645	C₈	—	158	1	no	—
1646	C₈	—	158	1	no	—
1647	C₈	—	158	1	no	—
1648	C₈	—	158	1	no	—
1649	C₈	—	158	1	no	—
1650	C₈	—	158	1	no	—
1651	C₈	—	158	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	2	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	8	4	no	—
1670	C₂²	—	16	2	no	—
1671	C₂²	—	316	1	no	—
1672	C₂²	—	316	1	no	—
1673	C₂²	—	316	1	no	—
1674	C₂²	#19099374	1	2	yes	—
1675	C₂²	C₂³×C₂²⋊D₇₉	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	316	1	no	—
1693	C₄	—	316	1	no	—
1694	C₄	—	316	1	no	—
1695	C₄	—	316	1	no	—
1696	C₄	—	316	1	no	—
1697	C₄	—	316	1	no	—
1698	C₄	—	158	2	no	—
1699	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1700	C₄	#19099399	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	632	1	no	—
1708	C₂	#41×C₂²⋊D₇₉	1	1	yes	characteristic
1709	C₂	C₂×#19099374	1	1	yes	characteristic
1710	C₂	#23778171	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting	C₇₉×#3513	C₂
socle	C₂²×C₇₉	C₂³×D₄
hypercenter	#3513	D₇₉
hypocenter	C₇₉	#61472
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. #23777389	C₂	semidirect
2. #23776392	C₂	semidirect
3. #23776275	C₂	semidirect
4. #23776227	C₂	semidirect
5. #23776162	C₂	semidirect
6. #23775779	C₂	semidirect
7. #23775773	C₂	semidirect
8. #23775757	C₂	semidirect
9. #23775647	C₂	semidirect
10. #23775616	C₂	semidirect
11. #23775541	C₂	semidirect
12. #23775481	C₂	semidirect
13. #23775445	C₂	semidirect
14. #23775385	C₂	semidirect
15. #23775103	C₂	semidirect
16. #23775103	C₂	semidirect
17. D₄×#11929612	C₂	semidirect
18. #23774022	C₂	semidirect
19. #23774011	C₂	semidirect
20. #23773964	C₂	semidirect
21. #23773623	C₂	semidirect
22. #23773614	C₂	semidirect
23. #23773593	C₂	semidirect
24. #23773584	C₂	semidirect
25. #23773567	C₂	semidirect
26. #23773538	C₂	semidirect
27. #23772376	C₂	semidirect
28. #23772281	C₂	semidirect
29. #23772257	C₂	semidirect
30. C₂×C₄×#11929612	C₂	semidirect
31. C₇₉×#3513	C₂	semidirect
35. #19099291	C₂²	semidirect
36. #19099286	C₂²	semidirect
38. #19099270	C₂²	semidirect
42. #19099253	C₂²	semidirect
45. #19099222	C₂²	semidirect
46. #19099222	C₂²	semidirect
47. #19099184	C₂²	semidirect
49. #19099175	C₂²	semidirect
51. #19099097	C₂²	semidirect
54. #19099043	C₂²	semidirect
55. #19099040	C₂²	semidirect
56. C₂×C₄×Dic₁₅₈	C₂²	semidirect
57. #19098962	C₂²	semidirect
58. #19098962	C₂²	semidirect
59. #19098959	C₂²	semidirect
60. #19098945	C₂²	semidirect
61. #19098945	C₂²	semidirect
63. #19098933	C₂²	semidirect
65. #19098925	C₂²	semidirect
66. #19098922	C₂²	semidirect
67. #19098920	C₂²	semidirect
68. #19098917	C₂²	semidirect
69. #19098904	C₂²	semidirect
70. #19098901	C₂²	semidirect
71. #19098898	C₂²	semidirect
72. #19098896	C₂²	semidirect
73. #19098893	C₂²	semidirect
74. #19098893	C₂²	semidirect
75. #19098887	C₂²	semidirect
78. #19098879	C₂²	semidirect
79. #19098876	C₂²	semidirect
80. #19098874	C₂²	semidirect
81. #19098870	C₂²	semidirect
82. #19098867	C₂²	semidirect
83. #19098867	C₂²	semidirect
84. #19098867	C₂²	semidirect
87. #19098863	C₂²	semidirect
88. #19098860	C₂²	semidirect
89. #19098855	C₂²	semidirect
90. #19098853	C₂²	semidirect
91. #19098845	C₂²	semidirect
93. #19098819	C₂²	semidirect
95. #19098807	C₂²	semidirect
96. #19098807	C₂²	semidirect
97. #19098802	C₂²	semidirect
99. #19098794	C₂²	semidirect
100. #19098794	C₂²	semidirect
103. #19098790	C₂²	semidirect
104. #19098790	C₂²	semidirect
105. #19098782	C₂²	semidirect
106. #19098782	C₂²	semidirect
107. #19098782	C₂²	semidirect
108. #19098782	C₂²	semidirect
111. #19098778	C₂²	semidirect
112. #19098778	C₂²	semidirect
113. #19098773	C₂²	semidirect
119. #19098718	C₂²	semidirect
120. #19098718	C₂²	semidirect
123. #19098706	C₂²	semidirect
124. #19098706	C₂²	semidirect
129. #19098694	C₂²	semidirect
130. Q₈×C₇₉⋊C₈	C₂²	semidirect
133. #19098673	C₂²	semidirect
134. #19098668	C₂²	semidirect
135. #19098668	C₂²	semidirect
136. #19098668	C₂²	semidirect
139. #19098663	C₂²	semidirect
140. #19098663	C₂²	semidirect
141. #19098663	C₂²	semidirect
142. #19098663	C₂²	semidirect
143. C₄×#11929614	C₂²	semidirect
144. C₄×#11929611	C₂²	semidirect
145. C₄×#11929611	C₂²	semidirect
152. C₄×#11929612	C₂²	semidirect
153. C₄×#11929612	C₂²	semidirect
154. C₄×#11929612	C₂²	semidirect
155. C₄×#11929612	C₂²	semidirect
156. C₄×#11929612	C₂²	semidirect
157. C₄×#11929612	C₂²	semidirect
158. C₄×#11929609	C₂²	semidirect
159. #19098641	C₂²	semidirect
161. #19098635	C₂²	semidirect
163. D₄×C₇₉⋊C₈	C₂²	semidirect
164. D₄×C₇₉⋊C₈	C₂²	semidirect
165. #19098624	C₂²	semidirect
166. #19098624	C₂²	semidirect
167. #19098620	C₂²	semidirect
168. #19098599	C₂²	semidirect
169. C₂×#14579092	C₂²	semidirect
170. C₂×#14579092	C₂²	semidirect
171. #19098571	C₂²	semidirect
174. #19098562	C₂²	semidirect
175. C₂×#14579084	C₂²	semidirect
177. #19098519	C₂²	semidirect
178. #19098519	C₂²	semidirect
179. C₂×C₄×C₇₉⋊C₈	C₂²	semidirect
515. #11929612	#41	semidirect
857. #3513	D₇₉	semidirect
887. C₇₉	#61472	semidirect

Maximal subgroups

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

subgroup	index
#23777389	2
#23776392	2
#23776275	2
#23776227	2
#23776162	2
#23775779	2
#23775773	2
#23775757	2
#23775647	2
#23775616	2
#23775541	2
#23775481	2
#23775445	2
#23775385	2
#23775103	2
D₄×#11929612	2
#23774022	2
#23774011	2
#23773964	2
#23773623	2
#23773614	2
#23773593	2
#23773584	2
#23773567	2
#23773538	2
#23772376	2
#23772281	2
#23772257	2
C₂×C₄×#11929612	2
C₇₉×#3513	2
#61472	79