Subgroups — #35174218

Order 20224.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777675	C₂	1	1	yes	maximal, characteristic, complemented
2	#23775642	C₂	1	1	yes	maximal, characteristic, complemented
3	#23775631	C₂	1	1	yes	maximal, characteristic, complemented
4	#23775586	C₂	1	1	yes	maximal, characteristic, complemented
5	#23775556	C₂	1	1	yes	maximal, characteristic, complemented
6	#23775466	C₂	1	1	yes	maximal, characteristic, complemented
7	#23775436	C₂	1	1	yes	maximal, characteristic, complemented
8	#23775350	C₂	1	1	yes	maximal, characteristic, complemented
9	#23775339	C₂	1	1	yes	maximal, characteristic, complemented
10	#23775103	C₂	1	1	yes	maximal, characteristic, complemented
11	#23775081	C₂	1	1	yes	maximal, characteristic, complemented
12	#23775053	C₂	1	1	yes	maximal, characteristic, complemented
13	#23775032	C₂	1	1	yes	maximal, characteristic, complemented
14	#23774981	C₂	1	1	yes	maximal, characteristic, complemented
15	#23774941	C₂	1	1	yes	maximal, characteristic, complemented
16	#23774891	C₂	1	1	yes	maximal, characteristic, complemented
17	#23774876	C₂	1	1	yes	maximal, characteristic, complemented
18	#23774494	C₂	1	1	yes	maximal, characteristic, complemented
19	#23774494	C₂	1	1	yes	maximal, characteristic, complemented
20	#23774276	C₂	1	1	yes	maximal, characteristic, complemented
21	#23774246	C₂	1	1	yes	maximal, characteristic, complemented
22	#23774214	C₂	1	1	yes	maximal, characteristic, complemented
23	#23774165	C₂	1	1	yes	maximal, characteristic, complemented
24	#23773677	C₂	1	1	yes	maximal, characteristic, complemented
25	#23773662	C₂	1	1	yes	maximal, characteristic, complemented
26	#23772677	C₂	1	1	yes	maximal, characteristic, complemented
27	#23772668	C₂	1	1	yes	maximal, characteristic, complemented
28	#23772642	C₂	1	1	yes	maximal, characteristic, complemented
29	#23772618	C₂	1	1	yes	maximal, characteristic, complemented
30	#23772448	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₉×#3488	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14579192	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14579191	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14579187	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14579186	C₂²	1	1	yes	characteristic, complemented
36	C₂×#14579181	C₂²	1	1	yes	characteristic, complemented
37	C₂×#14579181	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#11929612	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#11929609	C₂²	1	1	yes	characteristic, complemented
40	#19099306	—	2	1	no	—
41	#19099302	—	2	1	no	—
42	#19099297	—	2	1	no	—
43	#19099283	C₂²	1	1	yes	characteristic, complemented
44	#19099283	C₂²	1	1	yes	characteristic, complemented
45	#19099278	C₂²	1	1	yes	characteristic, complemented
46	#19099278	C₂²	1	1	yes	characteristic, complemented
47	#19099241	—	2	1	no	—
48	#19099222	C₂²	1	1	yes	characteristic, complemented
49	#19099222	C₂²	1	1	yes	characteristic, complemented
50	#19099209	C₂²	1	1	yes	characteristic, complemented
51	#19099209	C₂²	1	1	yes	characteristic, complemented
52	#19099184	C₂²	1	1	yes	characteristic, complemented
53	#19099184	C₂²	1	1	yes	characteristic, complemented
54	#19099183	—	2	1	no	—
55	#19099183	—	2	1	no	—
56	#19099145	—	2	1	no	—
57	#19099145	—	2	1	no	—
58	#19099134	C₂²	1	1	yes	characteristic, complemented
59	#19099127	C₂²	1	1	yes	characteristic, complemented
60	#19099074	C₂²	1	1	yes	characteristic, complemented
61	#19099074	C₂²	1	1	yes	characteristic, complemented
62	#19098950	C₂²	1	1	yes	characteristic, complemented
63	#19098950	C₂²	1	1	yes	characteristic, complemented
64	#19098945	C₂²	1	1	yes	characteristic, complemented
65	#19098945	C₂²	1	1	yes	characteristic, complemented
66	#19098922	C₂²	1	1	yes	characteristic, complemented
67	#19098922	C₂²	1	1	yes	characteristic, complemented
68	#19098909	C₂²	1	1	yes	characteristic, complemented
69	#19098909	C₂²	1	1	yes	characteristic, complemented
70	#19098901	C₂²	1	1	yes	characteristic, complemented
71	#19098901	C₂²	1	1	yes	characteristic, complemented
72	#19098898	C₂²	1	1	yes	characteristic, complemented
73	#19098893	C₂²	1	1	yes	characteristic, complemented
74	#19098884	C₂²	1	1	yes	characteristic, complemented
75	#19098884	C₂²	1	1	yes	characteristic, complemented
76	#19098884	C₂²	1	1	yes	characteristic, complemented
77	#19098884	C₂²	1	1	yes	characteristic, complemented
78	#19098884	C₂²	1	1	yes	characteristic, complemented
79	#19098884	C₂²	1	1	yes	characteristic, complemented
80	#19098881	C₂²	1	1	yes	characteristic, complemented
81	#19098876	C₂²	1	1	yes	characteristic, complemented
82	#19098858	C₂²	1	1	yes	characteristic, complemented
83	#19098853	C₂²	1	1	yes	characteristic, complemented
84	#19098848	C₂²	1	1	yes	characteristic, complemented
85	#19098843	C₂²	1	1	yes	characteristic, complemented
86	#19098819	C₂²	1	1	yes	characteristic, complemented
87	#19098814	C₂²	1	1	yes	characteristic, complemented
88	#19098814	C₂²	1	1	yes	characteristic, complemented
89	#19098814	C₂²	1	1	yes	characteristic, complemented
90	#19098811	C₂²	1	1	yes	characteristic, complemented
91	#19098807	C₂²	1	1	yes	characteristic, complemented
92	#19098807	C₂²	1	1	yes	characteristic, complemented
93	#19098807	C₂²	1	1	yes	characteristic, complemented
94	#19098802	C₂²	1	1	yes	characteristic, complemented
95	#19098797	C₂²	1	1	yes	characteristic, complemented
96	#19098797	C₂²	1	1	yes	characteristic, complemented
97	#19098797	C₂²	1	1	yes	characteristic, complemented
98	#19098794	C₂²	1	1	yes	characteristic, complemented
99	#19098790	C₂²	1	1	yes	characteristic, complemented
100	#19098790	C₂²	1	1	yes	characteristic, complemented
101	#19098790	C₂²	1	1	yes	characteristic, complemented
102	#19098785	C₂²	1	1	yes	characteristic, complemented
103	#19098785	C₂²	1	1	yes	characteristic, complemented
104	#19098782	C₂²	1	1	yes	characteristic, complemented
105	#19098782	C₂²	1	1	yes	characteristic, complemented
106	#19098778	C₂²	1	1	yes	characteristic, complemented
107	#19098778	C₂²	1	1	yes	characteristic, complemented
108	#19098775	C₂²	1	1	yes	characteristic, complemented
109	#19098775	C₂²	1	1	yes	characteristic, complemented
110	#19098760	C₂²	1	1	yes	characteristic, complemented
111	#19098760	C₂²	1	1	yes	characteristic, complemented
112	#19098755	C₂²	1	1	yes	characteristic, complemented
113	#19098755	C₂²	1	1	yes	characteristic, complemented
114	#19098725	C₂²	1	1	yes	characteristic, complemented
115	#19098725	C₂²	1	1	yes	characteristic, complemented
116	#19098725	C₂²	1	1	yes	characteristic, complemented
117	#19098725	C₂²	1	1	yes	characteristic, complemented
118	#19098725	C₂²	1	1	yes	characteristic, complemented
119	#19098725	C₂²	1	1	yes	characteristic, complemented
120	#19098725	C₂²	1	1	yes	characteristic, complemented
121	#19098725	C₂²	1	1	yes	characteristic, complemented
122	#19098719	C₂²	1	1	yes	characteristic, complemented
123	#19098718	C₂²	1	1	yes	characteristic, complemented
124	#19098714	C₂²	1	1	yes	characteristic, complemented
125	#19098714	C₂²	1	1	yes	characteristic, complemented
126	#19098714	C₂²	1	1	yes	characteristic, complemented
127	#19098714	C₂²	1	1	yes	characteristic, complemented
128	#19098714	C₂²	1	1	yes	characteristic, complemented
129	#19098713	C₂²	1	1	yes	characteristic, complemented
130	#19098708	C₂²	1	1	yes	characteristic
131	#19098708	C₂²	1	1	yes	characteristic
132	#19098708	C₂²	1	1	yes	characteristic, complemented
133	#19098708	C₂²	1	1	yes	characteristic, complemented
134	#19098708	C₂²	1	1	yes	characteristic, complemented
135	#19098708	C₂²	1	1	yes	characteristic, complemented
136	#19098708	C₂²	1	1	yes	characteristic, complemented
137	#19098708	C₂²	1	1	yes	characteristic, complemented
138	#19098706	C₂²	1	1	yes	characteristic, complemented
139	#19098706	C₂²	1	1	yes	characteristic, complemented
140	#19098706	C₂²	1	1	yes	characteristic, complemented
141	#19098706	C₂²	1	1	yes	characteristic, complemented
142	#19098702	C₂²	1	1	yes	characteristic, complemented
143	#19098701	C₂²	1	1	yes	characteristic, complemented
144	#19098697	C₂²	1	1	yes	characteristic, complemented
145	#19098697	C₂²	1	1	yes	characteristic, complemented
146	#19098697	C₂²	1	1	yes	characteristic, complemented
147	#19098697	C₂²	1	1	yes	characteristic, complemented
148	#19098697	C₂²	1	1	yes	characteristic, complemented
149	#19098696	C₂²	1	1	yes	characteristic, complemented
150	#19098673	C₂²	1	1	yes	characteristic, complemented
151	#19098668	C₂²	1	1	yes	characteristic, complemented
152	#19098663	C₂²	1	1	yes	characteristic, complemented
153	#19098661	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11929614	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11929611	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11929612	C₂²	1	1	yes	characteristic, complemented
157	C₄×#11929609	C₂²	1	1	yes	characteristic, complemented
158	#19098641	C₂²	1	1	yes	characteristic, complemented
159	#19098641	C₂²	1	1	yes	characteristic, complemented
160	#19098635	C₂²	1	1	yes	characteristic, complemented
161	#19098635	C₂²	1	1	yes	characteristic, complemented
162	#19098635	C₂²	1	1	yes	characteristic, complemented
163	#19098635	C₂²	1	1	yes	characteristic, complemented
164	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	D₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	#19098624	C₂²	1	1	yes	characteristic, complemented
167	#19098624	C₂²	1	1	yes	characteristic, complemented
168	#19098572	C₂²	1	1	yes	characteristic, complemented
169	#19098568	C₂²	1	1	yes	characteristic, complemented
170	#19098568	C₂²	1	1	yes	characteristic, complemented
171	#19098568	C₂²	1	1	yes	characteristic, complemented
172	#19098559	C₂²	1	1	yes	characteristic, complemented
173	#19098559	C₂²	1	1	yes	characteristic, complemented
174	#19098559	C₂²	1	1	yes	characteristic, complemented
175	#19098559	C₂²	1	1	yes	characteristic, complemented
176	#19098530	C₂²	1	1	yes	characteristic, complemented
177	#19098530	C₂²	1	1	yes	characteristic, complemented
178	#19098527	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₂²⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
180	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	1	yes	characteristic
181	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic, complemented
182	#550×C₇₉	C₂²	1	1	yes	characteristic
183	#550×C₇₉	C₂²	1	1	yes	characteristic, complemented
184	#548×C₇₉	C₂²	1	1	yes	characteristic
185	#548×C₇₉	C₂²	1	1	yes	characteristic, complemented
186	#546×C₇₉	—	2	1	no	—
187	#546×C₇₉	—	2	1	no	—
188	#546×C₇₉	C₂²	1	1	yes	characteristic
189	#546×C₇₉	C₂²	1	1	yes	characteristic, complemented
190	D₄²×C₇₉	—	2	1	no	—
191	D₄²×C₇₉	—	2	1	no	—
192	D₄²×C₇₉	C₂²	1	1	yes	characteristic
193	D₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
194	#537×C₇₉	—	2	1	no	—
195	#537×C₇₉	C₂²	1	1	yes	characteristic
196	#535×C₇₉	—	2	1	no	—
197	#535×C₇₉	C₂²	1	1	yes	characteristic, complemented
198	#525×C₇₉	—	2	1	no	—
199	#525×C₇₉	C₂²	1	1	yes	characteristic
200	C₂×#121×C₇₉	—	2	1	no	—
201	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
202	#520×C₇₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11929624	C₂³	1	1	yes	characteristic
204	C₂×#11929624	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
206	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
207	#14579192	—	4	2	no	—
208	#14579191	—	4	2	no	—
209	#14579187	—	4	2	no	—
210	#14579186	—	4	2	no	—
211	#14579181	—	4	2	no	—
212	#14579181	—	4	2	no	—
213	C₂×#11929614	C₂³	1	1	yes	characteristic
214	C₂×#11929614	C₂³	1	1	yes	characteristic
215	C₂×#11929614	C₂³	1	1	yes	characteristic
216	C₂×#11929614	C₂³	1	1	yes	characteristic
217	C₂×#11929612	—	4	2	no	—
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×#11929612	C₂³	1	1	yes	characteristic
222	C₂×#11929612	C₂³	1	1	yes	characteristic
223	C₂×#11929612	C₂³	1	1	yes	characteristic
224	C₂×#11929612	C₂³	1	1	yes	characteristic
225	C₂×#11929612	C₂³	1	1	yes	characteristic
226	C₂×#11929611	C₂³	1	1	yes	characteristic
227	C₂×#11929611	C₂³	1	1	yes	characteristic
228	C₂×#11929611	C₂³	1	1	yes	characteristic
229	C₂×#11929611	C₂³	1	1	yes	characteristic
230	C₂×#11929609	—	4	2	no	—
231	C₂×#11929609	C₂³	1	1	yes	characteristic
232	C₂×#11929609	C₂³	1	1	yes	characteristic
233	C₂×#11929609	C₂³	1	1	yes	characteristic
234	C₂×#11929609	C₂³	1	1	yes	characteristic
235	C₂×#11929609	C₂³	1	1	yes	characteristic
236	C₂×#11929609	C₂³	1	1	yes	characteristic
237	C₂×#11929609	C₂³	1	1	yes	characteristic
238	C₂×#11929609	C₂³	1	1	yes	characteristic
239	C₂×#11929608	C₂³	1	1	yes	characteristic
240	C₂×#11929608	C₂³	1	1	yes	characteristic
241	C₂×#11929608	C₂³	1	1	yes	characteristic
242	C₂×#11929608	C₂³	1	1	yes	characteristic
243	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
245	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
247	#14579161	C₂³	1	1	yes	characteristic
248	#14579161	C₂³	1	1	yes	characteristic
249	#14579159	—	2	1	no	—
250	#14579157	—	2	1	no	—
251	#14579156	—	2	1	no	—
252	#14579156	—	2	1	no	—
253	#14579154	—	2	1	no	—
254	#14579154	—	2	1	no	—
255	#14579154	—	2	1	no	—
256	#14579154	—	2	1	no	—
257	#14579150	—	2	1	no	—
258	#14579149	C₂³	1	1	yes	characteristic
259	#14579149	C₂³	1	1	yes	characteristic
260	#14579148	—	2	1	no	—
261	#14579148	—	2	1	no	—
262	#14579148	—	2	1	no	—
263	#14579147	—	2	1	no	—
264	#14579147	—	2	1	no	—
265	#14579147	—	2	1	no	—
266	#14579147	—	2	1	no	—
267	#14579147	—	2	1	no	—
268	#14579147	—	2	1	no	—
269	#14579147	—	2	1	no	—
270	#14579147	—	2	1	no	—
271	#14579146	—	2	1	no	—
272	#14579146	—	2	1	no	—
273	#14579144	—	2	1	no	—
274	#14579144	—	2	1	no	—
275	#14579143	—	2	1	no	—
276	#14579143	—	2	1	no	—
277	#14579142	—	2	1	no	—
278	#14579142	—	2	1	no	—
279	#14579140	C₂³	1	1	yes	characteristic
280	#14579140	C₂³	1	1	yes	characteristic
281	#14579140	C₂³	1	1	yes	characteristic
282	#14579140	C₂³	1	1	yes	characteristic
283	#14579140	C₂³	1	1	yes	characteristic
284	#14579140	C₂³	1	1	yes	characteristic
285	#14579139	—	2	1	no	—
286	#14579139	—	2	1	no	—
287	#14579139	—	2	1	no	—
288	#14579139	—	2	1	no	—
289	#14579135	C₂³	1	1	yes	characteristic
290	#14579135	C₂³	1	1	yes	characteristic
291	#14579135	C₂³	1	1	yes	characteristic
292	#14579135	C₂³	1	1	yes	characteristic
293	#14579135	C₂³	1	1	yes	characteristic
294	#14579135	C₂³	1	1	yes	characteristic
295	#14579134	—	2	1	no	—
296	#14579134	—	2	1	no	—
297	#14579133	—	2	1	no	—
298	#14579133	—	2	1	no	—
299	#14579132	—	2	1	no	—
300	#14579132	—	2	1	no	—
301	#14579130	—	2	1	no	—
302	#14579130	—	2	1	no	—
303	#14579129	—	2	1	no	—
304	#14579129	—	2	1	no	—
305	#14579129	—	2	1	no	—
306	#14579129	—	2	1	no	—
307	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
308	C₄×Dic₁₅₈	C₂³	1	1	yes	characteristic
309	#14579126	—	2	1	no	—
310	#14579126	—	2	1	no	—
311	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
312	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊D₇₉	—	2	1	no	—
314	C₄×C₂²⋊D₇₉	—	2	1	no	—
315	C₄×C₂²⋊D₇₉	—	2	1	no	—
316	C₄×C₂²⋊D₇₉	—	2	1	no	—
317	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
318	(C₂²⋊D₇₉)⋊C₄	—	2	1	no	—
319	#14579120	C₂³	1	1	yes	characteristic
320	#14579120	C₂³	1	1	yes	characteristic
321	#14579120	C₂³	1	1	yes	characteristic
322	#14579120	C₂³	1	1	yes	characteristic
323	#14579119	—	2	1	no	—
324	#14579119	—	2	1	no	—
325	C₂²⋊C₄×D₇₉	—	2	1	no	—
326	C₂²⋊C₄×D₇₉	—	2	1	no	—
327	#14579094	C₂³	1	1	yes	characteristic
328	#14579094	C₂³	1	1	yes	characteristic
329	#14579094	C₂³	1	1	yes	characteristic
330	#14579094	C₂³	1	1	yes	characteristic
331	#14579092	C₂³	1	1	yes	characteristic
332	#14579092	C₂³	1	1	yes	characteristic
333	#14579092	C₂³	1	1	yes	characteristic
334	#14579092	C₂³	1	1	yes	characteristic
335	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
336	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
337	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
338	C₄⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
339	#14579085	C₂³	1	1	yes	characteristic
340	#14579085	C₂³	1	1	yes	characteristic
341	#14579085	C₂³	1	1	yes	characteristic
342	#14579085	C₂³	1	1	yes	characteristic
343	#14579085	C₂³	1	1	yes	characteristic
344	#14579085	C₂³	1	1	yes	characteristic
345	#14579085	C₂³	1	1	yes	characteristic
346	#14579085	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	#14579084	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	#14579082	C₂³	1	1	yes	characteristic
363	#14579082	C₂³	1	1	yes	characteristic
364	#14579082	C₂³	1	1	yes	characteristic
365	#14579082	C₂³	1	1	yes	characteristic
366	#14579082	C₂³	1	1	yes	characteristic
367	#14579081	C₂³	1	1	yes	characteristic
368	#14579081	C₂³	1	1	yes	characteristic
369	#14579081	C₂³	1	1	yes	characteristic
370	#14579081	C₂³	1	1	yes	characteristic
371	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
372	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
373	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
374	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
375	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
376	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
377	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
378	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
379	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
380	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
381	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
382	C₂²⋊(C₇₉⋊C₈)	C₂³	1	1	yes	characteristic
383	#14579072	C₂³	1	1	yes	characteristic
384	#14579072	C₂³	1	1	yes	characteristic
385	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
386	C₄×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
387	H(5,𝔽₂)×C₇₉	—	4	2	no	—
388	H(5,𝔽₂)×C₇₉	—	4	2	no	—
389	C₂×#41×C₇₉	—	2	1	no	—
390	C₂×#41×C₇₉	—	2	1	no	—
391	C₂×#41×C₇₉	—	2	1	no	—
392	C₂×#41×C₇₉	—	4	2	no	—
393	C₂×#41×C₇₉	—	4	2	no	—
394	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
395	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
396	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
397	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
398	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
399	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
400	C₂×#41×C₇₉	C₂³	1	1	yes	characteristic
401	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
402	C₂²×D₄×C₇₉	—	2	1	no	—
403	C₂²×D₄×C₇₉	—	2	1	no	—
404	C₂²×D₄×C₇₉	—	2	1	no	—
405	C₂²×D₄×C₇₉	—	2	1	no	—
406	C₂²×D₄×C₇₉	—	2	1	no	—
407	C₂²×D₄×C₇₉	—	2	1	no	—
408	C₂²×D₄×C₇₉	—	2	1	no	—
409	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
410	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
411	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
412	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
413	C₂³×C₄×C₇₉	—	2	1	no	—
414	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
415	#127×C₇₉	—	2	1	no	—
416	#127×C₇₉	—	2	1	no	—
417	#127×C₇₉	C₂³	1	1	yes	characteristic
418	#127×C₇₉	C₂³	1	1	yes	characteristic
419	#124×C₇₉	—	2	1	no	—
420	#124×C₇₉	—	2	1	no	—
421	#124×C₇₉	C₂³	1	1	yes	characteristic
422	#124×C₇₉	C₂³	1	1	yes	characteristic
423	#123×C₇₉	—	2	1	no	—
424	#123×C₇₉	—	2	1	no	—
425	#123×C₇₉	D₄	1	1	yes	characteristic
426	#123×C₇₉	D₄	1	1	yes	characteristic
427	C₂²⋊Q₈×C₇₉	—	2	1	no	—
428	C₂²⋊Q₈×C₇₉	—	2	1	no	—
429	C₂²⋊Q₈×C₇₉	—	2	1	no	—
430	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
431	C₂²⋊Q₈×C₇₉	D₄	1	1	yes	characteristic
432	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
433	C₂²⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
434	#121×C₇₉	—	2	1	no	—
435	#121×C₇₉	—	2	1	no	—
436	#121×C₇₉	—	2	1	no	—
437	#121×C₇₉	—	2	1	no	—
438	#121×C₇₉	—	2	1	no	—
439	#121×C₇₉	—	2	1	no	—
440	#121×C₇₉	—	2	1	no	—
441	#121×C₇₉	—	2	1	no	—
442	#121×C₇₉	—	2	1	no	—
443	#121×C₇₉	—	2	1	no	—
444	#121×C₇₉	—	2	1	no	—
445	#121×C₇₉	—	2	1	no	—
446	#121×C₇₉	—	2	1	no	—
447	#121×C₇₉	—	2	1	no	—
448	#121×C₇₉	—	2	1	no	—
449	#121×C₇₉	—	2	1	no	—
450	#121×C₇₉	—	2	1	no	—
451	#121×C₇₉	D₄	1	1	yes	characteristic
452	#121×C₇₉	D₄	1	1	yes	characteristic
453	#121×C₇₉	C₂³	1	1	yes	characteristic
454	#121×C₇₉	C₂³	1	1	yes	characteristic
455	#121×C₇₉	C₂³	1	1	yes	characteristic
456	#121×C₇₉	C₂³	1	1	yes	characteristic
457	#121×C₇₉	C₂³	1	1	yes	characteristic
458	#121×C₇₉	C₂³	1	1	yes	characteristic
459	#120×C₇₉	—	2	1	no	—
460	#120×C₇₉	—	2	1	no	—
461	#120×C₇₉	—	2	1	no	—
462	#120×C₇₉	—	2	1	no	—
463	#120×C₇₉	—	2	1	no	—
464	#120×C₇₉	—	2	1	no	—
465	#120×C₇₉	—	2	1	no	—
466	#120×C₇₉	—	2	1	no	—
467	#120×C₇₉	D₄	1	1	yes	characteristic
468	#120×C₇₉	D₄	1	1	yes	characteristic
469	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
470	C₄×Q₈×C₇₉	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₇₉	—	2	1	no	—
472	C₄×D₄×C₇₉	—	2	1	no	—
473	C₄×D₄×C₇₉	—	2	1	no	—
474	C₄×D₄×C₇₉	—	2	1	no	—
475	C₄×D₄×C₇₉	—	2	1	no	—
476	C₄×D₄×C₇₉	—	2	1	no	—
477	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
478	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
479	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
480	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
481	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
482	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
483	#117×C₇₉	—	2	1	no	—
484	#117×C₇₉	C₂³	1	1	yes	characteristic
485	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
486	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
487	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
488	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
489	C₂×C₂²⋊C₄×C₇₉	—	2	1	no	—
490	C₂³×D₇₉	—	2	1	no	—
491	#11929624	—	4	1	no	—
492	#11929624	—	4	1	no	—
493	#11929624	—	4	1	no	—
494	#11929624	—	4	1	no	—
495	C₂×Dic₁₅₈	—	2	1	no	—
496	C₂×Dic₁₅₈	—	2	1	no	—
497	C₂×Dic₁₅₈	—	2	1	no	—
498	C₂×Dic₁₅₈	—	4	1	no	—
499	C₂×Dic₁₅₈	—	4	1	no	—
500	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
501	C₂×Dic₁₅₈	C₂⁴	1	1	yes	characteristic
502	C₂×D₃₁₆	—	2	1	no	—
503	C₂×D₃₁₆	—	4	1	no	—
504	C₂×D₃₁₆	—	4	1	no	—
505	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
506	C₂×D₃₁₆	C₂⁴	1	1	yes	characteristic
507	C₂×C₂²⋊D₇₉	—	2	1	no	—
508	C₂×C₂²⋊D₇₉	—	2	1	no	—
509	C₂×C₂²⋊D₇₉	—	2	1	no	—
510	C₂×C₂²⋊D₇₉	—	2	1	no	—
511	C₂×C₂²⋊D₇₉	—	2	1	no	—
512	C₂×C₂²⋊D₇₉	—	2	1	no	—
513	C₂×C₂²⋊D₇₉	—	2	1	no	—
514	C₂×C₂²⋊D₇₉	—	2	1	no	—
515	C₂²×Dic₇₉	—	2	1	no	—
516	C₂×C₄×D₇₉	—	2	1	no	—
517	C₂×C₄×D₇₉	—	2	1	no	—
518	C₂×C₄×D₇₉	—	2	1	no	—
519	C₂×C₄×D₇₉	—	2	1	no	—
520	#11929614	—	2	2	no	—
521	#11929614	—	2	2	no	—
522	#11929614	—	4	1	no	—
523	#11929614	—	4	1	no	—
524	#11929612	—	2	2	no	—
525	#11929612	—	2	2	no	—
526	#11929612	—	4	1	no	—
527	#11929612	—	4	1	no	—
528	#11929612	—	4	1	no	—
529	#11929612	—	4	1	no	—
530	#11929612	—	4	1	no	—
531	#11929612	—	4	1	no	—
532	#11929611	—	2	2	no	—
533	#11929611	—	2	2	no	—
534	#11929611	—	4	1	no	—
535	#11929611	—	4	1	no	—
536	#11929609	—	2	2	no	—
537	#11929609	—	2	2	no	—
538	#11929609	—	4	1	no	—
539	#11929609	—	4	1	no	—
540	#11929609	—	4	1	no	—
541	#11929609	—	4	1	no	—
542	#11929609	—	4	1	no	—
543	#11929609	—	4	1	no	—
544	#11929608	—	4	1	no	—
545	#11929608	—	4	1	no	—
546	#11929608	—	4	1	no	—
547	#11929608	—	4	1	no	—
548	C₂×C₇₉⋊C₈	—	4	1	no	—
549	C₂×C₇₉⋊C₈	—	4	1	no	—
550	C₂×C₇₉⋊C₈	—	4	1	no	—
551	C₂×C₇₉⋊C₈	—	4	1	no	—
552	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
560	C₄⋊Dic₇₉	—	2	1	no	—
561	C₄⋊Dic₇₉	—	2	1	no	—
562	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
563	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
564	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
565	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
566	Dic₇₉⋊C₄	—	2	1	no	—
567	Dic₇₉⋊C₄	—	2	1	no	—
568	Dic₇₉⋊C₄	—	2	1	no	—
569	Dic₇₉⋊C₄	—	2	1	no	—
570	Dic₇₉⋊C₄	—	2	1	no	—
571	Dic₇₉⋊C₄	—	2	1	no	—
572	Dic₇₉⋊C₄	—	2	1	no	—
573	Dic₇₉⋊C₄	—	2	1	no	—
574	C₂²⋊Dic₇₉	—	2	1	no	—
575	C₂²⋊Dic₇₉	—	2	1	no	—
576	C₂²⋊Dic₇₉	—	2	1	no	—
577	C₂²⋊Dic₇₉	—	2	1	no	—
578	C₂²⋊Dic₇₉	—	2	1	no	—
579	C₂²⋊Dic₇₉	—	2	1	no	—
580	C₂²⋊Dic₇₉	—	2	1	no	—
581	C₂²⋊Dic₇₉	—	2	1	no	—
582	C₂²⋊Dic₇₉	—	2	1	no	—
583	C₂²⋊Dic₇₉	—	2	1	no	—
584	(C₂×D₇₉)⋊C₄	—	2	1	no	—
585	(C₂×D₇₉)⋊C₄	—	2	1	no	—
586	(C₂×D₇₉)⋊C₄	—	2	1	no	—
587	(C₂×D₇₉)⋊C₄	—	2	1	no	—
588	(C₂×D₇₉)⋊C₄	—	2	1	no	—
589	(C₂×D₇₉)⋊C₄	—	2	1	no	—
590	(C₂×D₇₉)⋊C₄	—	2	1	no	—
591	(C₂×D₇₉)⋊C₄	—	2	1	no	—
592	(C₂×D₇₉)⋊C₄	—	2	1	no	—
593	(C₂×D₇₉)⋊C₄	—	2	1	no	—
594	(C₂×D₇₉)⋊C₄	—	2	1	no	—
595	(C₂×D₇₉)⋊C₄	—	2	1	no	—
596	C₄×Dic₇₉	—	2	1	no	—
597	C₄×Dic₇₉	—	2	1	no	—
598	C₄×Dic₇₉	—	2	1	no	—
599	C₄×Dic₇₉	—	2	1	no	—
600	C₄×Dic₇₉	—	2	1	no	—
601	C₄×Dic₇₉	—	2	1	no	—
602	C₂⁴×C₇₉	—	2	1	no	—
603	C₂⁴×C₇₉	—	2	1	no	—
604	C₂⁴×C₇₉	—	2	1	no	—
605	C₂⁴×C₇₉	—	2	1	no	—
606	C₂⁴×C₇₉	C₂×D₄	1	1	yes	characteristic
607	#41×C₇₉	—	2	2	no	—
608	#41×C₇₉	—	2	2	no	—
609	#41×C₇₉	—	2	2	no	—
610	#41×C₇₉	—	2	2	no	—
611	#41×C₇₉	—	2	2	no	—
612	#41×C₇₉	—	2	2	no	—
613	#41×C₇₉	—	4	1	no	—
614	#41×C₇₉	—	4	1	no	—
615	#41×C₇₉	—	4	1	no	—
616	#41×C₇₉	—	4	1	no	—
617	#41×C₇₉	—	4	1	no	—
618	#41×C₇₉	—	4	1	no	—
619	#41×C₇₉	—	4	1	no	—
620	#41×C₇₉	—	4	1	no	—
621	#41×C₇₉	—	4	4	no	—
622	#41×C₇₉	—	4	4	no	—
623	#41×C₇₉	—	4	4	no	—
624	C₂×Q₈×C₇₉	—	2	1	no	—
625	C₂×Q₈×C₇₉	—	2	2	no	—
626	C₂×Q₈×C₇₉	—	4	1	no	—
627	C₂×Q₈×C₇₉	C₂×D₄	1	1	yes	characteristic
628	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
629	C₂×Q₈×C₇₉	C₂⁴	1	1	yes	characteristic
630	C₂×D₄×C₇₉	—	2	1	no	—
631	C₂×D₄×C₇₉	—	2	2	no	—
632	C₂×D₄×C₇₉	—	2	2	no	—
633	C₂×D₄×C₇₉	—	2	2	no	—
634	C₂×D₄×C₇₉	—	2	1	no	—
635	C₂×D₄×C₇₉	—	2	1	no	—
636	C₂×D₄×C₇₉	—	2	1	no	—
637	C₂×D₄×C₇₉	—	2	1	no	—
638	C₂×D₄×C₇₉	—	2	1	no	—
639	C₂×D₄×C₇₉	—	2	1	no	—
640	C₂×D₄×C₇₉	—	2	1	no	—
641	C₂×D₄×C₇₉	—	2	1	no	—
642	C₂×D₄×C₇₉	—	2	1	no	—
643	C₂×D₄×C₇₉	—	2	1	no	—
644	C₂×D₄×C₇₉	—	2	1	no	—
645	C₂×D₄×C₇₉	—	2	1	no	—
646	C₂×D₄×C₇₉	—	2	1	no	—
647	C₂×D₄×C₇₉	—	2	1	no	—
648	C₂×D₄×C₇₉	—	2	1	no	—
649	C₂×D₄×C₇₉	—	2	1	no	—
650	C₂×D₄×C₇₉	—	2	1	no	—
651	C₂×D₄×C₇₉	—	2	1	no	—
652	C₂×D₄×C₇₉	—	2	1	no	—
653	C₂×D₄×C₇₉	—	4	1	no	—
654	C₂×D₄×C₇₉	—	4	1	no	—
655	C₂×D₄×C₇₉	—	4	1	no	—
656	C₂×D₄×C₇₉	—	4	1	no	—
657	C₂×D₄×C₇₉	—	4	1	no	—
658	C₂×D₄×C₇₉	—	4	4	no	—
659	C₂×D₄×C₇₉	—	4	4	no	—
660	C₂×D₄×C₇₉	—	4	4	no	—
661	C₂×D₄×C₇₉	—	4	4	no	—
662	C₂×D₄×C₇₉	—	8	2	no	—
663	C₂×D₄×C₇₉	—	8	2	no	—
664	C₂×D₄×C₇₉	—	8	2	no	—
665	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
666	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
667	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
668	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
669	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
670	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
671	C₂×D₄×C₇₉	C₂×D₄	1	1	yes	characteristic
672	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
673	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
674	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
675	C₂×D₄×C₇₉	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₇₉	—	2	1	no	—
677	C₂²×C₄×C₇₉	—	2	1	no	—
678	C₂²×C₄×C₇₉	—	2	1	no	—
679	C₂²×C₄×C₇₉	—	2	1	no	—
680	C₂²×C₄×C₇₉	—	2	1	no	—
681	C₂²×C₄×C₇₉	—	2	1	no	—
682	C₂²×C₄×C₇₉	—	2	1	no	—
683	C₂²×C₄×C₇₉	—	2	1	no	—
684	C₂²×C₄×C₇₉	—	2	1	no	—
685	C₂²×C₄×C₇₉	—	2	1	no	—
686	C₂²×C₄×C₇₉	—	4	1	no	—
687	C₂²×C₄×C₇₉	—	4	1	no	—
688	C₂²×C₄×C₇₉	—	4	4	no	—
689	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
690	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
691	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
692	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
693	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
694	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
695	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
696	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
697	C₄⋊C₄×C₇₉	—	2	1	no	—
698	C₄⋊C₄×C₇₉	—	2	1	no	—
699	C₄⋊C₄×C₇₉	—	2	1	no	—
700	C₄⋊C₄×C₇₉	—	2	1	no	—
701	C₄⋊C₄×C₇₉	—	2	1	no	—
702	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
703	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
704	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
705	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
706	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
707	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
708	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
709	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
710	C₂²⋊C₄×C₇₉	—	2	1	no	—
711	C₂²⋊C₄×C₇₉	—	2	1	no	—
712	C₂²⋊C₄×C₇₉	—	2	1	no	—
713	C₂²⋊C₄×C₇₉	—	2	1	no	—
714	C₂²⋊C₄×C₇₉	—	2	1	no	—
715	C₂²⋊C₄×C₇₉	—	2	1	no	—
716	C₂²⋊C₄×C₇₉	—	2	1	no	—
717	C₂²⋊C₄×C₇₉	—	2	1	no	—
718	C₂²⋊C₄×C₇₉	—	2	1	no	—
719	C₂²⋊C₄×C₇₉	—	2	1	no	—
720	C₂²⋊C₄×C₇₉	—	2	1	no	—
721	C₂²⋊C₄×C₇₉	—	2	1	no	—
722	C₂²⋊C₄×C₇₉	—	2	1	no	—
723	C₂²⋊C₄×C₇₉	—	2	1	no	—
724	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
726	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
728	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
731	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
732	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
733	C₂²⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
734	C₄²×C₇₉	—	2	1	no	—
735	C₄²×C₇₉	—	2	1	no	—
736	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
737	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
738	C₂³×C₇₉	—	2	1	no	—
739	C₂³×C₇₉	—	2	1	no	—
740	C₂³×C₇₉	—	2	1	no	—
741	C₂³×C₇₉	—	2	1	no	—
742	C₂³×C₇₉	—	4	1	no	—
743	C₂³×C₇₉	—	4	1	no	—
744	C₂³×C₇₉	—	4	1	no	—
745	C₂³×C₇₉	—	4	2	no	—
746	C₂³×C₇₉	—	4	2	no	—
747	C₂³×C₇₉	—	4	2	no	—
748	C₂³×C₇₉	—	4	2	no	—
749	C₂³×C₇₉	—	4	2	no	—
750	C₂³×C₇₉	—	8	1	no	—
751	C₂³×C₇₉	—	8	1	no	—
752	C₂³×C₇₉	—	8	1	no	—
753	C₂³×C₇₉	—	8	1	no	—
754	C₂³×C₇₉	—	8	1	no	—
755	C₂³×C₇₉	—	8	1	no	—
756	C₂³×C₇₉	—	8	1	no	—
757	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
760	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
761	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₇₉	—	2	1	no	—
763	C₂²×D₇₉	—	2	1	no	—
764	C₂²×D₇₉	—	8	1	no	—
765	C₂²×D₇₉	—	8	1	no	—
766	C₂²×D₇₉	—	8	1	no	—
767	Q₈×C₇₉	—	2	1	no	—
768	Q₈×C₇₉	—	2	1	no	—
769	Q₈×C₇₉	—	2	1	no	—
770	Q₈×C₇₉	—	4	1	no	—
771	Q₈×C₇₉	—	4	2	no	—
772	Q₈×C₇₉	H(5,𝔽₂)	1	2	yes	—
773	D₄×C₇₉	—	2	4	no	—
774	D₄×C₇₉	—	2	1	no	—
775	D₄×C₇₉	—	2	1	no	—
776	D₄×C₇₉	—	2	1	no	—
777	D₄×C₇₉	—	2	1	no	—
778	D₄×C₇₉	—	2	1	no	—
779	D₄×C₇₉	—	2	1	no	—
780	D₄×C₇₉	—	2	1	no	—
781	D₄×C₇₉	—	4	1	no	—
782	D₄×C₇₉	—	4	1	no	—
783	D₄×C₇₉	—	4	1	no	—
784	D₄×C₇₉	—	4	1	no	—
785	D₄×C₇₉	—	4	1	no	—
786	D₄×C₇₉	—	4	1	no	—
787	D₄×C₇₉	—	4	1	no	—
788	D₄×C₇₉	—	4	2	no	—
789	D₄×C₇₉	—	4	2	no	—
790	D₄×C₇₉	—	4	2	no	—
791	D₄×C₇₉	—	4	2	no	—
792	D₄×C₇₉	—	4	2	no	—
793	D₄×C₇₉	—	4	2	no	—
794	D₄×C₇₉	—	4	2	no	—
795	D₄×C₇₉	—	4	2	no	—
796	D₄×C₇₉	—	4	2	no	—
797	D₄×C₇₉	—	4	2	no	—
798	D₄×C₇₉	—	4	2	no	—
799	D₄×C₇₉	—	8	1	no	—
800	D₄×C₇₉	—	8	1	no	—
801	D₄×C₇₉	—	8	1	no	—
802	D₄×C₇₉	—	8	1	no	—
803	D₄×C₇₉	—	8	1	no	—
804	D₄×C₇₉	—	8	1	no	—
805	D₄×C₇₉	—	8	1	no	—
806	D₄×C₇₉	—	8	1	no	—
807	D₄×C₇₉	H(5,𝔽₂)	1	2	yes	—
808	C₂×C₄×C₇₉	—	2	4	no	—
809	C₂×C₄×C₇₉	—	2	1	no	—
810	C₂×C₄×C₇₉	—	2	1	no	—
811	C₂×C₄×C₇₉	—	2	1	no	—
812	C₂×C₄×C₇₉	—	2	1	no	—
813	C₂×C₄×C₇₉	—	2	1	no	—
814	C₂×C₄×C₇₉	—	2	1	no	—
815	C₂×C₄×C₇₉	—	2	1	no	—
816	C₂×C₄×C₇₉	—	2	1	no	—
817	C₂×C₄×C₇₉	—	2	1	no	—
818	C₂×C₄×C₇₉	—	2	1	no	—
819	C₂×C₄×C₇₉	—	2	1	no	—
820	C₂×C₄×C₇₉	—	2	1	no	—
821	C₂×C₄×C₇₉	—	2	1	no	—
822	C₂×C₄×C₇₉	—	2	1	no	—
823	C₂×C₄×C₇₉	—	4	1	no	—
824	C₂×C₄×C₇₉	—	4	1	no	—
825	C₂×C₄×C₇₉	—	4	1	no	—
826	C₂×C₄×C₇₉	—	4	2	no	—
827	C₂×C₄×C₇₉	—	4	2	no	—
828	C₂×C₄×C₇₉	—	4	2	no	—
829	C₂×C₄×C₇₉	—	4	2	no	—
830	C₂×C₄×C₇₉	—	4	2	no	—
831	C₂×C₄×C₇₉	—	4	2	no	—
832	C₂×C₄×C₇₉	—	8	1	no	—
833	C₂×C₄×C₇₉	—	8	1	no	—
834	C₂×C₄×C₇₉	—	8	1	no	—
835	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
841	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
845	C₂²⋊D₇₉	—	8	1	no	—
846	C₂²⋊D₇₉	—	8	1	no	—
847	C₂²⋊D₇₉	—	8	1	no	—
848	C₂²⋊D₇₉	—	8	1	no	—
849	C₂²⋊D₇₉	—	8	1	no	—
850	C₂²⋊D₇₉	—	8	1	no	—
851	C₂²⋊D₇₉	—	8	1	no	—
852	C₂²⋊D₇₉	—	8	1	no	—
853	C₂×Dic₇₉	—	2	1	no	—
854	C₂×Dic₇₉	—	2	1	no	—
855	C₂×Dic₇₉	—	2	1	no	—
856	C₂×Dic₇₉	—	2	1	no	—
857	C₂×Dic₇₉	—	2	1	no	—
858	C₂×Dic₇₉	—	2	1	no	—
859	C₂×Dic₇₉	—	8	1	no	—
860	D₃₁₆	—	2	1	no	—
861	D₃₁₆	—	2	1	no	—
862	D₃₁₆	—	2	1	no	—
863	D₃₁₆	—	2	1	no	—
864	D₃₁₆	—	8	1	no	—
865	C₄×D₇₉	—	8	1	no	—
866	C₄×D₇₉	—	8	1	no	—
867	C₄×D₇₉	—	8	1	no	—
868	C₄×D₇₉	—	8	1	no	—
869	Dic₁₅₈	—	2	1	no	—
870	Dic₁₅₈	—	2	1	no	—
871	Dic₁₅₈	—	2	1	no	—
872	Dic₁₅₈	—	2	1	no	—
873	Dic₁₅₈	—	8	1	no	—
874	Dic₁₅₈	—	8	1	no	—
875	Dic₁₅₈	—	8	1	no	—
876	C₇₉⋊C₈	—	2	1	no	—
877	C₇₉⋊C₈	—	2	1	no	—
878	C₇₉⋊C₈	—	2	1	no	—
879	C₇₉⋊C₈	—	2	1	no	—
880	C₇₉⋊C₈	—	2	1	no	—
881	C₇₉⋊C₈	—	2	1	no	—
882	C₇₉⋊C₈	—	2	1	no	—
883	C₇₉⋊C₈	—	2	1	no	—
884	C₂²×C₇₉	—	2	1	no	—
885	C₂²×C₇₉	—	2	1	no	—
886	C₂²×C₇₉	—	2	1	no	—
887	C₂²×C₇₉	—	2	1	no	—
888	C₂²×C₇₉	—	2	1	no	—
889	C₂²×C₇₉	—	2	1	no	—
890	C₂²×C₇₉	—	2	1	no	—
891	C₂²×C₇₉	—	2	1	no	—
892	C₂²×C₇₉	—	2	1	no	—
893	C₂²×C₇₉	—	2	1	no	—
894	C₂²×C₇₉	—	2	1	no	—
895	C₂²×C₇₉	—	2	1	no	—
896	C₂²×C₇₉	—	2	1	no	—
897	C₂²×C₇₉	—	2	2	no	—
898	C₂²×C₇₉	—	2	1	no	—
899	C₂²×C₇₉	—	2	1	no	—
900	C₂²×C₇₉	—	4	1	no	—
901	C₂²×C₇₉	—	4	1	no	—
902	C₂²×C₇₉	—	4	1	no	—
903	C₂²×C₇₉	—	4	1	no	—
904	C₂²×C₇₉	—	4	1	no	—
905	C₂²×C₇₉	—	4	1	no	—
906	C₂²×C₇₉	—	4	1	no	—
907	C₂²×C₇₉	—	4	1	no	—
908	C₂²×C₇₉	—	4	1	no	—
909	C₂²×C₇₉	—	4	1	no	—
910	C₂²×C₇₉	—	4	1	no	—
911	C₂²×C₇₉	—	8	2	no	—
912	C₂²×C₇₉	—	8	4	no	—
913	C₂²×C₇₉	—	16	2	no	—
914	C₂²×C₇₉	—	16	2	no	—
915	C₂²×C₇₉	—	16	2	no	—
916	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
917	C₂×D₇₉	—	4	1	no	—
918	C₂×D₇₉	—	4	1	no	—
919	C₂×D₇₉	—	4	1	no	—
920	C₂×D₇₉	—	4	1	no	—
921	C₂×D₇₉	—	4	1	no	—
922	C₂×D₇₉	—	4	1	no	—
923	C₂×D₇₉	—	16	2	no	—
924	C₄×C₇₉	—	2	1	no	—
925	C₄×C₇₉	—	2	1	no	—
926	C₄×C₇₉	—	2	1	no	—
927	C₄×C₇₉	—	2	1	no	—
928	C₄×C₇₉	—	2	1	no	—
929	C₄×C₇₉	—	2	2	no	—
930	C₄×C₇₉	—	2	1	no	—
931	C₄×C₇₉	—	2	1	no	—
932	C₄×C₇₉	—	2	1	no	—
933	C₄×C₇₉	—	2	1	no	—
934	C₄×C₇₉	—	4	1	no	—
935	C₄×C₇₉	—	4	1	no	—
936	C₄×C₇₉	—	4	1	no	—
937	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
938	C₄×C₇₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
939	Dic₇₉	—	4	1	no	—
940	Dic₇₉	—	4	1	no	—
941	Dic₇₉	—	4	1	no	—
942	Dic₇₉	—	4	1	no	—
943	Dic₇₉	—	4	1	no	—
944	Dic₇₉	—	4	1	no	—
945	#61625	—	79	1	no	maximal, Sylow
946	C₂×C₇₉	—	4	1	no	—
947	C₂×C₇₉	—	4	1	no	—
948	C₂×C₇₉	—	4	1	no	—
949	C₂×C₇₉	—	4	1	no	—
950	C₂×C₇₉	—	4	1	no	—
951	C₂×C₇₉	—	4	2	no	—
952	C₂×C₇₉	—	8	1	no	—
953	C₂×C₇₉	—	8	1	no	—
954	C₂×C₇₉	—	8	1	no	—
955	C₂×C₇₉	#3484	1	1	yes	characteristic
956	C₂×C₇₉	#3584	1	1	yes	characteristic
957	C₂×C₇₉	#3585	1	1	yes	characteristic
958	D₇₉	—	8	1	no	—
959	D₇₉	—	8	1	no	—
960	#3540	—	79	1	no	—
961	#3488	D₇₉	1	1	yes	characteristic, complemented
962	#3325	—	79	1	no	—
963	#3324	—	79	1	no	—
964	#3321	—	79	1	no	—
965	#3319	—	79	1	no	—
966	#3313	—	79	1	no	—
967	#3311	—	79	1	no	—
968	#3305	—	79	1	no	—
969	#3304	—	79	1	no	—
970	#3282	—	79	1	no	—
971	#3280	—	79	1	no	—
972	#3277	—	79	1	no	—
973	#3275	—	79	1	no	—
974	#3271	—	79	1	no	—
975	#3268	—	79	1	no	—
976	#3265	—	79	1	no	—
977	#3264	—	79	1	no	—
978	#3224	—	79	1	no	—
979	#3224	—	79	1	no	—
980	#3201	—	79	1	no	—
981	#3198	—	79	1	no	—
982	#3194	—	79	1	no	—
983	#3188	—	79	1	no	—
984	#3125	—	79	1	no	—
985	#3124	—	79	1	no	—
986	#3009	—	79	1	no	—
987	#3008	—	79	1	no	—
988	#3005	—	79	1	no	—
989	#3002	—	79	1	no	—
990	#2976	—	79	1	no	—
991	C₇₉	#61625	1	1	yes	characteristic, complemented, Sylow
992	C₂×H(5,𝔽₂)	C₂×D₇₉	1	1	yes	characteristic
993	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic, complemented
994	C₂×#137	—	79	1	no	—
995	C₂×#137	—	79	1	no	—
996	C₂×AGL(1,ℤ/8)	—	79	1	no	—
997	C₂×AGL(1,ℤ/8)	—	79	1	no	—
998	C₂×#135	—	79	1	no	—
999	C₂×#135	—	79	1	no	—
1000	C₂²×SD₁₆	—	79	1	no	—
1001	C₂²×D₈	—	79	1	no	—
1002	H(3,𝔽₄)	—	158	1	no	—
1003	#560	—	158	1	no	—
1004	#559	—	158	1	no	—
1005	#556	—	79	1	no	—
1006	#556	—	79	1	no	—
1007	#555	—	79	1	no	—
1008	#555	—	79	1	no	—
1009	#551	—	158	1	no	—
1010	#550	C₂×D₇₉	1	1	yes	characteristic
1011	#550	C₂×D₇₉	1	1	yes	characteristic, complemented
1012	#548	—	79	1	no	—
1013	#548	—	79	1	no	—
1014	#548	C₂×D₇₉	1	1	yes	characteristic
1015	#548	C₂×D₇₉	1	1	yes	characteristic, complemented
1016	#546	—	2	1	no	—
1017	#546	—	2	1	no	—
1018	#546	—	79	1	no	—
1019	#546	—	79	1	no	—
1020	#546	C₂×D₇₉	1	1	yes	characteristic
1021	#546	C₂×D₇₉	1	1	yes	characteristic, complemented
1022	D₄²	—	2	1	no	—
1023	D₄²	—	2	1	no	—
1024	D₄²	C₂×D₇₉	1	1	yes	characteristic
1025	D₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
1026	#542	—	79	1	no	—
1027	#542	—	79	1	no	—
1028	#542	—	158	1	no	—
1029	#542	—	158	1	no	—
1030	#538	—	158	1	no	—
1031	#538	—	158	1	no	—
1032	#537	—	2	1	no	—
1033	#537	C₂×D₇₉	1	1	yes	characteristic
1034	#536	—	79	1	no	—
1035	#535	—	2	1	no	—
1036	#535	—	79	1	no	—
1037	#535	C₂×D₇₉	1	1	yes	characteristic, complemented
1038	#525	—	2	1	no	—
1039	#525	—	79	1	no	—
1040	#525	—	79	1	no	—
1041	#525	C₂×D₇₉	1	1	yes	characteristic
1042	C₂×#121	—	2	1	no	—
1043	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
1044	#520	C₂×D₇₉	1	1	yes	characteristic, complemented
1045	#496	—	79	1	no	—
1046	#496	—	79	1	no	—
1047	#495	—	79	1	no	—
1048	#495	—	79	1	no	—
1049	#489	—	79	1	no	—
1050	#489	—	79	1	no	—
1051	#486	—	79	1	no	—
1052	#486	—	79	1	no	—
1053	#485	—	79	1	no	—
1054	#485	—	79	1	no	—
1055	#484	—	79	1	no	—
1056	#483	—	79	1	no	—
1057	#482	—	79	1	no	—
1058	#482	—	79	1	no	—
1059	#482	—	79	1	no	—
1060	#482	—	79	1	no	—
1061	#482	—	79	1	no	—
1062	#482	—	79	1	no	—
1063	#481	—	79	1	no	—
1064	#480	—	79	1	no	—
1065	#477	—	79	1	no	—
1066	#476	—	79	1	no	—
1067	#475	—	79	1	no	—
1068	#474	—	79	1	no	—
1069	#470	—	79	1	no	—
1070	#469	—	79	1	no	—
1071	#469	—	79	1	no	—
1072	#469	—	79	1	no	—
1073	#468	—	79	1	no	—
1074	#468	—	79	1	no	—
1075	#468	—	79	1	no	—
1076	#468	—	79	1	no	—
1077	#467	—	79	1	no	—
1078	#466	—	79	1	no	—
1079	#466	—	79	1	no	—
1080	#466	—	79	1	no	—
1081	#465	—	79	1	no	—
1082	#465	—	79	1	no	—
1083	#465	—	79	1	no	—
1084	#465	—	79	1	no	—
1085	#464	—	79	1	no	—
1086	#464	—	79	1	no	—
1087	#464	—	79	1	no	—
1088	#464	—	79	1	no	—
1089	#463	—	79	1	no	—
1090	#463	—	79	1	no	—
1091	#463	—	79	1	no	—
1092	#463	—	79	1	no	—
1093	#460	—	79	1	no	—
1094	#460	—	79	1	no	—
1095	#459	—	79	1	no	—
1096	#459	—	79	1	no	—
1097	#452	—	79	1	no	—
1098	#452	—	79	1	no	—
1099	#452	—	79	1	no	—
1100	#452	—	79	1	no	—
1101	#452	—	79	1	no	—
1102	#452	—	79	1	no	—
1103	#452	—	79	1	no	—
1104	#452	—	79	1	no	—
1105	#451	—	79	1	no	—
1106	#451	—	79	1	no	—
1107	#450	—	79	1	no	—
1108	#450	—	79	1	no	—
1109	#450	—	79	1	no	—
1110	#450	—	79	1	no	—
1111	#450	—	79	1	no	—
1112	#450	—	79	1	no	—
1113	#449	—	79	1	no	—
1114	#449	—	79	1	no	—
1115	#449	—	79	1	no	—
1116	#449	—	79	1	no	—
1117	#449	—	79	1	no	—
1118	#449	—	79	1	no	—
1119	#449	—	79	1	no	—
1120	#449	—	79	1	no	—
1121	#449	—	79	1	no	—
1122	#449	—	79	1	no	—
1123	#449	—	79	1	no	—
1124	#449	—	79	1	no	—
1125	#448	—	79	1	no	—
1126	#448	—	79	1	no	—
1127	#447	—	79	1	no	—
1128	#447	—	79	1	no	—
1129	#447	—	79	1	no	—
1130	#447	—	79	1	no	—
1131	#447	—	79	1	no	—
1132	#447	—	79	1	no	—
1133	#442	—	79	1	no	—
1134	#441	—	79	1	no	—
1135	#440	—	79	1	no	—
1136	#440	—	79	1	no	—
1137	C₄×Q₁₆	—	79	1	no	—
1138	C₄×SD₁₆	—	79	1	no	—
1139	C₄×SD₁₆	—	79	1	no	—
1140	C₄×D₈	—	79	1	no	—
1141	#436	—	79	1	no	—
1142	#436	—	79	1	no	—
1143	#435	—	79	1	no	—
1144	#435	—	79	1	no	—
1145	#435	—	79	1	no	—
1146	#435	—	79	1	no	—
1147	C₈×D₄	—	79	1	no	—
1148	C₈×D₄	—	79	1	no	—
1149	#433	—	79	1	no	—
1150	#433	—	79	1	no	—
1151	#419	—	79	1	no	—
1152	#418	—	79	1	no	—
1153	#418	—	79	1	no	—
1154	#418	—	79	1	no	—
1155	#416	—	79	1	no	—
1156	#416	—	79	1	no	—
1157	#416	—	79	1	no	—
1158	#416	—	79	1	no	—
1159	#408	—	79	1	no	—
1160	#408	—	79	1	no	—
1161	#407	—	79	1	no	—
1162	C₂×C₂²⋊C₈	—	79	1	no	—
1163	H(5,𝔽₂)	—	4	2	no	—
1164	H(5,𝔽₂)	—	4	2	no	—
1165	C₂×#41	—	2	1	no	—
1166	C₂×#41	—	2	1	no	—
1167	C₂×#41	—	2	1	no	—
1168	C₂×#41	—	4	2	no	—
1169	C₂×#41	—	4	2	no	—
1170	C₂×#41	—	79	1	no	—
1171	C₂×#41	—	79	1	no	—
1172	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1173	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1174	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1175	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1176	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1177	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1178	C₂×#41	C₂²×D₇₉	1	1	yes	characteristic
1179	C₂²×Q₈	—	79	1	no	—
1180	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1181	C₂²×D₄	—	2	1	no	—
1182	C₂²×D₄	—	2	1	no	—
1183	C₂²×D₄	—	2	1	no	—
1184	C₂²×D₄	—	2	1	no	—
1185	C₂²×D₄	—	2	1	no	—
1186	C₂²×D₄	—	2	1	no	—
1187	C₂²×D₄	—	2	1	no	—
1188	C₂²×D₄	—	79	1	no	—
1189	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1190	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1191	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1192	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1193	C₂³×C₄	—	2	1	no	—
1194	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1195	#137	—	316	2	no	—
1196	#137	—	316	2	no	—
1197	AGL(1,ℤ/8)	—	316	2	no	—
1198	AGL(1,ℤ/8)	—	316	2	no	—
1199	#135	—	316	2	no	—
1200	#135	—	316	2	no	—
1201	C₂×Q₁₆	—	79	1	no	—
1202	C₂×Q₁₆	—	79	1	no	—
1203	C₂×Q₁₆	—	79	1	no	—
1204	C₂×Q₁₆	—	79	1	no	—
1205	C₂×SD₁₆	—	316	2	no	—
1206	C₂×SD₁₆	—	79	1	no	—
1207	C₂×SD₁₆	—	79	1	no	—
1208	C₂×SD₁₆	—	79	1	no	—
1209	C₂×SD₁₆	—	79	1	no	—
1210	C₂×SD₁₆	—	79	1	no	—
1211	C₂×SD₁₆	—	79	1	no	—
1212	C₂×SD₁₆	—	79	1	no	—
1213	C₂×SD₁₆	—	79	1	no	—
1214	C₂×SD₁₆	—	79	1	no	—
1215	C₂×SD₁₆	—	79	1	no	—
1216	C₂×SD₁₆	—	79	1	no	—
1217	C₂×SD₁₆	—	79	1	no	—
1218	C₂×D₈	—	316	2	no	—
1219	C₂×D₈	—	79	1	no	—
1220	C₂×D₈	—	79	1	no	—
1221	C₂×D₈	—	79	1	no	—
1222	C₂×D₈	—	79	1	no	—
1223	C₂×D₈	—	79	1	no	—
1224	C₂×D₈	—	79	1	no	—
1225	C₂×D₈	—	79	1	no	—
1226	C₂×D₈	—	79	1	no	—
1227	C₂×M₁₆	—	79	1	no	—
1228	C₂×M₁₆	—	79	1	no	—
1229	C₂×M₁₆	—	79	1	no	—
1230	C₂×M₁₆	—	79	1	no	—
1231	C₂²×C₈	—	79	1	no	—
1232	C₂²×C₈	—	79	1	no	—
1233	C₂²×C₈	—	79	1	no	—
1234	C₂²×C₈	—	79	1	no	—
1235	C₄⋊Q₈	—	79	1	no	—
1236	C₄⋊Q₈	—	79	1	no	—
1237	C₄⋊Q₈	—	158	1	no	—
1238	#127	—	2	1	no	—
1239	#127	—	2	1	no	—
1240	#127	—	158	1	no	—
1241	#127	C₂²×D₇₉	1	1	yes	characteristic
1242	#127	C₂²×D₇₉	1	1	yes	characteristic
1243	#126	—	158	1	no	—
1244	#126	—	158	1	no	—
1245	#126	—	158	1	no	—
1246	#126	—	158	1	no	—
1247	#126	—	158	1	no	—
1248	#126	—	158	1	no	—
1249	#124	—	2	1	no	—
1250	#124	—	2	1	no	—
1251	#124	—	79	1	no	—
1252	#124	—	79	1	no	—
1253	#124	—	158	1	no	—
1254	#124	—	158	1	no	—
1255	#124	—	158	1	no	—
1256	#124	—	158	1	no	—
1257	#124	—	158	1	no	—
1258	#124	—	158	1	no	—
1259	#124	—	158	1	no	—
1260	#124	—	158	1	no	—
1261	#124	—	158	1	no	—
1262	#124	—	158	1	no	—
1263	#124	—	158	1	no	—
1264	#124	—	158	1	no	—
1265	#124	C₂²×D₇₉	1	1	yes	characteristic
1266	#124	C₂²×D₇₉	1	1	yes	characteristic
1267	#123	—	2	1	no	—
1268	#123	—	2	1	no	—
1269	#123	—	158	1	no	—
1270	#123	—	158	1	no	—
1271	#123	—	158	1	no	—
1272	#123	—	158	1	no	—
1273	#123	—	158	1	no	—
1274	#123	—	158	1	no	—
1275	#123	—	158	1	no	—
1276	#123	—	158	1	no	—
1277	#123	C₂²⋊D₇₉	1	1	yes	characteristic
1278	#123	C₂²⋊D₇₉	1	1	yes	characteristic
1279	C₂²⋊Q₈	—	2	1	no	—
1280	C₂²⋊Q₈	—	2	1	no	—
1281	C₂²⋊Q₈	—	2	1	no	—
1282	C₂²⋊Q₈	—	79	1	no	—
1283	C₂²⋊Q₈	—	79	1	no	—
1284	C₂²⋊Q₈	—	79	1	no	—
1285	C₂²⋊Q₈	—	79	1	no	—
1286	C₂²⋊Q₈	—	79	1	no	—
1287	C₂²⋊Q₈	—	79	1	no	—
1288	C₂²⋊Q₈	—	158	1	no	—
1289	C₂²⋊Q₈	—	158	1	no	—
1290	C₂²⋊Q₈	—	158	1	no	—
1291	C₂²⋊Q₈	—	158	1	no	—
1292	C₂²⋊Q₈	C₂²⋊D₇₉	1	1	yes	characteristic
1293	C₂²⋊Q₈	C₂²⋊D₇₉	1	1	yes	characteristic
1294	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
1295	C₂²⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	79	1	no	—
1314	#121	—	79	1	no	—
1315	#121	—	79	1	no	—
1316	#121	—	79	1	no	—
1317	#121	—	79	1	no	—
1318	#121	—	79	1	no	—
1319	#121	—	158	1	no	—
1320	#121	—	158	1	no	—
1321	#121	—	158	1	no	—
1322	#121	—	158	1	no	—
1323	#121	—	158	1	no	—
1324	#121	—	158	1	no	—
1325	#121	C₂²⋊D₇₉	1	1	yes	characteristic
1326	#121	C₂²⋊D₇₉	1	1	yes	characteristic
1327	#121	C₂²×D₇₉	1	1	yes	characteristic
1328	#121	C₂²×D₇₉	1	1	yes	characteristic
1329	#121	C₂²×D₇₉	1	1	yes	characteristic
1330	#121	C₂²×D₇₉	1	1	yes	characteristic
1331	#121	C₂²×D₇₉	1	1	yes	characteristic
1332	#121	C₂²×D₇₉	1	1	yes	characteristic
1333	#120	—	2	1	no	—
1334	#120	—	2	1	no	—
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	2	1	no	—
1339	#120	—	2	1	no	—
1340	#120	—	2	1	no	—
1341	#120	—	158	1	no	—
1342	#120	—	158	1	no	—
1343	#120	—	158	1	no	—
1344	#120	—	158	1	no	—
1345	#120	—	158	1	no	—
1346	#120	—	158	1	no	—
1347	#120	C₂²⋊D₇₉	1	1	yes	characteristic
1348	#120	C₂²⋊D₇₉	1	1	yes	characteristic
1349	C₄×Q₈	—	79	1	no	—
1350	C₄×Q₈	—	79	1	no	—
1351	C₄×Q₈	—	158	1	no	—
1352	C₄×Q₈	—	158	1	no	—
1353	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1354	C₄×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1355	C₄×D₄	—	2	1	no	—
1356	C₄×D₄	—	2	1	no	—
1357	C₄×D₄	—	2	1	no	—
1358	C₄×D₄	—	2	1	no	—
1359	C₄×D₄	—	2	1	no	—
1360	C₄×D₄	—	2	1	no	—
1361	C₄×D₄	—	79	1	no	—
1362	C₄×D₄	—	79	1	no	—
1363	C₄×D₄	—	158	1	no	—
1364	C₄×D₄	—	158	1	no	—
1365	C₄×D₄	—	158	1	no	—
1366	C₄×D₄	—	158	1	no	—
1367	C₄×D₄	—	158	1	no	—
1368	C₄×D₄	—	158	1	no	—
1369	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1370	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1372	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1373	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1374	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1375	#117	—	2	1	no	—
1376	#117	—	79	1	no	—
1377	#117	—	79	1	no	—
1378	#117	—	79	1	no	—
1379	#117	—	79	1	no	—
1380	#117	—	158	1	no	—
1381	#117	—	158	1	no	—
1382	#117	C₂²×D₇₉	1	1	yes	characteristic
1383	C₂×C₄⋊C₄	—	2	1	no	—
1384	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1385	C₂×C₂²⋊C₄	—	2	1	no	—
1386	C₂×C₂²⋊C₄	—	2	1	no	—
1387	C₂×C₂²⋊C₄	—	2	1	no	—
1388	C₂×C₂²⋊C₄	—	158	1	no	—
1389	C₂×C₂²⋊C₄	—	158	1	no	—
1390	#107	—	79	1	no	—
1391	#107	—	79	1	no	—
1392	#107	—	79	1	no	—
1393	#107	—	79	1	no	—
1394	#106	—	79	1	no	—
1395	#106	—	79	1	no	—
1396	#106	—	79	1	no	—
1397	#106	—	79	1	no	—
1398	C₄⋊C₈	—	79	1	no	—
1399	C₄⋊C₈	—	79	1	no	—
1400	C₄⋊C₈	—	79	1	no	—
1401	C₄⋊C₈	—	79	1	no	—
1402	#103	—	79	1	no	—
1403	#103	—	79	1	no	—
1404	#103	—	79	1	no	—
1405	#103	—	79	1	no	—
1406	#103	—	79	1	no	—
1407	#103	—	79	1	no	—
1408	#103	—	79	1	no	—
1409	#103	—	79	1	no	—
1410	#103	—	79	1	no	—
1411	#103	—	79	1	no	—
1412	#103	—	79	1	no	—
1413	#103	—	79	1	no	—
1414	#102	—	79	1	no	—
1415	#102	—	79	1	no	—
1416	#102	—	79	1	no	—
1417	#102	—	79	1	no	—
1418	#102	—	79	1	no	—
1419	#102	—	79	1	no	—
1420	#102	—	79	1	no	—
1421	#102	—	79	1	no	—
1422	#102	—	79	1	no	—
1423	#102	—	79	1	no	—
1424	#102	—	79	1	no	—
1425	#102	—	79	1	no	—
1426	#102	—	79	1	no	—
1427	#102	—	79	1	no	—
1428	#102	—	79	1	no	—
1429	#102	—	79	1	no	—
1430	#102	—	79	1	no	—
1431	#102	—	79	1	no	—
1432	#102	—	79	1	no	—
1433	#102	—	79	1	no	—
1434	C₂²⋊C₈	—	79	1	no	—
1435	C₂²⋊C₈	—	79	1	no	—
1436	C₂²⋊C₈	—	79	1	no	—
1437	C₂²⋊C₈	—	79	1	no	—
1438	C₂²⋊C₈	—	79	1	no	—
1439	C₂²⋊C₈	—	79	1	no	—
1440	C₂²⋊C₈	—	79	1	no	—
1441	C₂²⋊C₈	—	79	1	no	—
1442	C₂²⋊C₈	—	79	1	no	—
1443	C₂²⋊C₈	—	79	1	no	—
1444	C₂²⋊C₈	—	79	1	no	—
1445	C₂²⋊C₈	—	79	1	no	—
1446	#97	—	79	1	no	—
1447	#97	—	79	1	no	—
1448	C₄×C₈	—	79	1	no	—
1449	C₄×C₈	—	79	1	no	—
1450	C₂⁴	—	2	1	no	—
1451	C₂⁴	—	2	1	no	—
1452	C₂⁴	—	2	1	no	—
1453	C₂⁴	—	2	1	no	—
1454	C₂⁴	—	158	1	no	—
1455	C₂⁴	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1456	#41	—	2	2	no	—
1457	#41	—	2	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	2	2	no	—
1460	#41	—	2	2	no	—
1461	#41	—	2	2	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	1	no	—
1467	#41	—	4	1	no	—
1468	#41	—	4	1	no	—
1469	#41	—	4	1	no	—
1470	#41	—	4	4	no	—
1471	#41	—	4	4	no	—
1472	#41	—	4	4	no	—
1473	#41	—	316	1	no	—
1474	#41	—	316	1	no	—
1475	#41	—	316	1	no	—
1476	#41	—	316	1	no	—
1477	C₂×Q₈	—	2	1	no	—
1478	C₂×Q₈	—	2	2	no	—
1479	C₂×Q₈	—	4	1	no	—
1480	C₂×Q₈	—	316	1	no	—
1481	C₂×Q₈	—	316	1	no	—
1482	C₂×Q₈	—	79	1	no	—
1483	C₂×Q₈	—	79	1	no	—
1484	C₂×Q₈	—	158	1	no	—
1485	C₂×Q₈	—	158	1	no	—
1486	C₂×Q₈	—	158	1	no	—
1487	C₂×Q₈	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1488	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1489	C₂×Q₈	C₂³×D₇₉	1	1	yes	characteristic
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	2	no	—
1492	C₂×D₄	—	2	2	no	—
1493	C₂×D₄	—	2	2	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	4	1	no	—
1514	C₂×D₄	—	4	1	no	—
1515	C₂×D₄	—	4	1	no	—
1516	C₂×D₄	—	4	1	no	—
1517	C₂×D₄	—	4	1	no	—
1518	C₂×D₄	—	4	4	no	—
1519	C₂×D₄	—	4	4	no	—
1520	C₂×D₄	—	4	4	no	—
1521	C₂×D₄	—	4	4	no	—
1522	C₂×D₄	—	8	2	no	—
1523	C₂×D₄	—	8	2	no	—
1524	C₂×D₄	—	8	2	no	—
1525	C₂×D₄	—	316	1	no	—
1526	C₂×D₄	—	316	1	no	—
1527	C₂×D₄	—	79	1	no	—
1528	C₂×D₄	—	79	1	no	—
1529	C₂×D₄	—	158	1	no	—
1530	C₂×D₄	—	158	1	no	—
1531	C₂×D₄	—	158	1	no	—
1532	C₂×D₄	—	158	1	no	—
1533	C₂×D₄	—	158	1	no	—
1534	C₂×D₄	—	158	1	no	—
1535	C₂×D₄	—	158	1	no	—
1536	C₂×D₄	—	158	1	no	—
1537	C₂×D₄	—	158	1	no	—
1538	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1539	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1540	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1541	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1542	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1543	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1544	C₂×D₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1545	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1546	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₇₉	1	1	yes	characteristic
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	2	1	no	—
1557	C₂²×C₄	—	2	1	no	—
1558	C₂²×C₄	—	2	1	no	—
1559	C₂²×C₄	—	4	1	no	—
1560	C₂²×C₄	—	4	1	no	—
1561	C₂²×C₄	—	4	4	no	—
1562	C₂²×C₄	—	158	1	no	—
1563	C₂²×C₄	—	158	1	no	—
1564	C₂²×C₄	—	158	1	no	—
1565	C₂²×C₄	—	158	1	no	—
1566	C₂²×C₄	—	158	1	no	—
1567	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1568	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1569	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1575	Q₁₆	—	316	1	no	—
1576	Q₁₆	—	316	1	no	—
1577	Q₁₆	—	158	2	no	—
1578	Q₁₆	—	158	2	no	—
1579	SD₁₆	—	316	1	no	—
1580	SD₁₆	—	316	1	no	—
1581	SD₁₆	—	316	1	no	—
1582	SD₁₆	—	316	1	no	—
1583	SD₁₆	—	316	1	no	—
1584	SD₁₆	—	316	1	no	—
1585	SD₁₆	—	316	1	no	—
1586	SD₁₆	—	316	1	no	—
1587	SD₁₆	—	158	2	no	—
1588	SD₁₆	—	158	2	no	—
1589	SD₁₆	—	158	2	no	—
1590	SD₁₆	—	158	2	no	—
1591	D₈	—	316	1	no	—
1592	D₈	—	316	1	no	—
1593	D₈	—	316	1	no	—
1594	D₈	—	316	1	no	—
1595	D₈	—	316	1	no	—
1596	D₈	—	316	1	no	—
1597	D₈	—	158	2	no	—
1598	D₈	—	158	2	no	—
1599	M₁₆	—	316	1	no	—
1600	M₁₆	—	316	1	no	—
1601	M₁₆	—	316	1	no	—
1602	M₁₆	—	316	1	no	—
1603	C₂×C₈	—	316	1	no	—
1604	C₂×C₈	—	316	1	no	—
1605	C₂×C₈	—	316	1	no	—
1606	C₂×C₈	—	316	1	no	—
1607	C₂×C₈	—	79	1	no	—
1608	C₂×C₈	—	79	1	no	—
1609	C₂×C₈	—	79	1	no	—
1610	C₂×C₈	—	79	1	no	—
1611	C₂×C₈	—	79	1	no	—
1612	C₂×C₈	—	79	1	no	—
1613	C₂×C₈	—	79	1	no	—
1614	C₂×C₈	—	79	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	79	1	no	—
1621	C₄⋊C₄	—	79	1	no	—
1622	C₄⋊C₄	—	79	1	no	—
1623	C₄⋊C₄	—	79	1	no	—
1624	C₄⋊C₄	—	158	1	no	—
1625	C₄⋊C₄	—	158	1	no	—
1626	C₄⋊C₄	—	158	1	no	—
1627	C₄⋊C₄	—	158	1	no	—
1628	C₄⋊C₄	—	158	1	no	—
1629	C₄⋊C₄	—	158	1	no	—
1630	C₄⋊C₄	—	158	1	no	—
1631	C₄⋊C₄	—	158	1	no	—
1632	C₄⋊C₄	—	158	1	no	—
1633	C₄⋊C₄	—	158	1	no	—
1634	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1635	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1636	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1637	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1638	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1639	C₄⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1640	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1641	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	158	1	no	—
1657	C₂²⋊C₄	—	158	1	no	—
1658	C₂²⋊C₄	—	158	1	no	—
1659	C₂²⋊C₄	—	158	1	no	—
1660	C₂²⋊C₄	—	158	1	no	—
1661	C₂²⋊C₄	—	158	1	no	—
1662	C₂²⋊C₄	—	158	1	no	—
1663	C₂²⋊C₄	—	158	1	no	—
1664	C₂²⋊C₄	—	158	1	no	—
1665	C₂²⋊C₄	—	158	1	no	—
1666	C₂²⋊C₄	—	158	1	no	—
1667	C₂²⋊C₄	—	158	1	no	—
1668	C₂²⋊C₄	—	158	1	no	—
1669	C₂²⋊C₄	—	158	1	no	—
1670	C₂²⋊C₄	—	158	1	no	—
1671	C₂²⋊C₄	—	158	1	no	—
1672	C₂²⋊C₄	—	158	1	no	—
1673	C₂²⋊C₄	—	158	1	no	—
1674	C₂²⋊C₄	—	158	1	no	—
1675	C₂²⋊C₄	—	158	1	no	—
1676	C₂²⋊C₄	—	158	1	no	—
1677	C₂²⋊C₄	—	158	1	no	—
1678	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1679	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1680	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1681	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
1688	C₄²	—	2	1	no	—
1689	C₄²	—	2	1	no	—
1690	C₄²	—	158	1	no	—
1691	C₄²	—	158	1	no	—
1692	C₄²	—	158	1	no	—
1693	C₄²	—	158	1	no	—
1694	C₄²	—	158	1	no	—
1695	C₄²	—	158	1	no	—
1696	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1697	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1698	C₂³	—	2	1	no	—
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	4	1	no	—
1703	C₂³	—	4	1	no	—
1704	C₂³	—	4	1	no	—
1705	C₂³	—	4	2	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	4	2	no	—
1708	C₂³	—	4	2	no	—
1709	C₂³	—	4	2	no	—
1710	C₂³	—	8	1	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	8	1	no	—
1714	C₂³	—	8	1	no	—
1715	C₂³	—	8	1	no	—
1716	C₂³	—	8	1	no	—
1717	C₂³	—	632	1	no	—
1718	C₂³	—	632	1	no	—
1719	C₂³	—	632	1	no	—
1720	C₂³	—	158	1	no	—
1721	C₂³	—	158	1	no	—
1722	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1723	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1724	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1725	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1726	C₂³	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1727	Q₈	—	2	1	no	—
1728	Q₈	—	2	1	no	—
1729	Q₈	—	2	1	no	—
1730	Q₈	—	4	1	no	—
1731	Q₈	—	4	2	no	—
1732	Q₈	—	632	1	no	—
1733	Q₈	—	632	1	no	—
1734	Q₈	—	632	1	no	—
1735	Q₈	—	158	1	no	—
1736	Q₈	—	158	1	no	—
1737	Q₈	—	158	1	no	—
1738	Q₈	—	158	1	no	—
1739	Q₈	#14579206	1	2	yes	—
1740	D₄	—	2	4	no	—
1741	D₄	—	2	1	no	—
1742	D₄	—	2	1	no	—
1743	D₄	—	2	1	no	—
1744	D₄	—	2	1	no	—
1745	D₄	—	2	1	no	—
1746	D₄	—	2	1	no	—
1747	D₄	—	2	1	no	—
1748	D₄	—	4	1	no	—
1749	D₄	—	4	1	no	—
1750	D₄	—	4	1	no	—
1751	D₄	—	4	1	no	—
1752	D₄	—	4	1	no	—
1753	D₄	—	4	1	no	—
1754	D₄	—	4	1	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	4	2	no	—
1763	D₄	—	4	2	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	8	1	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	8	1	no	—
1774	D₄	—	632	1	no	—
1775	D₄	—	632	1	no	—
1776	D₄	—	632	1	no	—
1777	D₄	—	632	1	no	—
1778	D₄	—	632	1	no	—
1779	D₄	—	632	1	no	—
1780	D₄	—	632	1	no	—
1781	D₄	—	632	1	no	—
1782	D₄	—	632	1	no	—
1783	D₄	—	158	1	no	—
1784	D₄	—	158	1	no	—
1785	D₄	—	158	1	no	—
1786	D₄	—	158	1	no	—
1787	D₄	#14579206	1	2	yes	—
1788	C₂×C₄	—	2	4	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	4	1	no	—
1804	C₂×C₄	—	4	1	no	—
1805	C₂×C₄	—	4	1	no	—
1806	C₂×C₄	—	4	2	no	—
1807	C₂×C₄	—	4	2	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	4	2	no	—
1811	C₂×C₄	—	4	2	no	—
1812	C₂×C₄	—	8	1	no	—
1813	C₂×C₄	—	8	1	no	—
1814	C₂×C₄	—	8	1	no	—
1815	C₂×C₄	—	632	1	no	—
1816	C₂×C₄	—	632	1	no	—
1817	C₂×C₄	—	632	1	no	—
1818	C₂×C₄	—	632	1	no	—
1819	C₂×C₄	—	632	1	no	—
1820	C₂×C₄	—	158	1	no	—
1821	C₂×C₄	—	158	1	no	—
1822	C₂×C₄	—	158	1	no	—
1823	C₂×C₄	—	158	1	no	—
1824	C₂×C₄	—	158	1	no	—
1825	C₂×C₄	—	158	1	no	—
1826	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1827	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1828	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1829	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1830	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1831	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1832	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1833	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1834	C₂×C₄	C₂²×C₂²⋊D₇₉	1	1	yes	characteristic
1835	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1836	C₈	—	158	1	no	—
1837	C₈	—	158	1	no	—
1838	C₈	—	158	1	no	—
1839	C₈	—	158	1	no	—
1840	C₈	—	158	1	no	—
1841	C₈	—	158	1	no	—
1842	C₈	—	158	1	no	—
1843	C₈	—	158	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	2	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	2	1	no	—
1857	C₂²	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	4	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	8	2	no	—
1872	C₂²	—	8	4	no	—
1873	C₂²	—	16	2	no	—
1874	C₂²	—	16	2	no	—
1875	C₂²	—	16	2	no	—
1876	C₂²	—	316	1	no	—
1877	C₂²	—	316	1	no	—
1878	C₂²	—	316	1	no	—
1879	C₂²	—	316	1	no	—
1880	C₂²	—	316	1	no	—
1881	C₂²	—	316	1	no	—
1882	C₂²	—	1264	2	no	—
1883	C₂²	C₂³×C₂²⋊D₇₉	1	1	yes	characteristic
1884	C₄	—	2	1	no	—
1885	C₄	—	2	2	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	2	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	316	1	no	—
1898	C₄	—	316	1	no	—
1899	C₄	—	316	1	no	—
1900	C₄	—	316	1	no	—
1901	C₄	—	316	1	no	—
1902	C₄	—	316	1	no	—
1903	C₄	C₂×#14579206	1	1	yes	characteristic
1904	C₄	C₂×#14579206	1	1	yes	characteristic
1905	C₂	—	4	1	no	—
1906	C₂	—	4	1	no	—
1907	C₂	—	4	1	no	—
1908	C₂	—	4	1	no	—
1909	C₂	—	4	1	no	—
1910	C₂	—	4	2	no	—
1911	C₂	—	8	1	no	—
1912	C₂	—	8	1	no	—
1913	C₂	—	8	1	no	—
1914	C₂	—	632	1	no	—
1915	C₂	—	632	1	no	—
1916	C₂	#23777035	1	1	yes	characteristic
1917	C₂	#23778171	1	1	yes	characteristic
1918	C₂	#23778180	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×#3488	C₂
socle	C₂²×C₇₉	C₂³×D₄
hypercenter	#3488	D₇₉
hypocenter	C₇₉	#61625
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3488

Complements

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

N	H ≅ G/N	type
1. #23777675	C₂	semidirect
2. #23775642	C₂	semidirect
3. #23775631	C₂	semidirect
4. #23775586	C₂	semidirect
5. #23775556	C₂	semidirect
6. #23775466	C₂	semidirect
7. #23775436	C₂	semidirect
8. #23775350	C₂	semidirect
9. #23775339	C₂	semidirect
10. #23775103	C₂	semidirect
11. #23775081	C₂	semidirect
12. #23775053	C₂	semidirect
13. #23775032	C₂	semidirect
14. #23774981	C₂	semidirect
15. #23774941	C₂	semidirect
16. #23774891	C₂	semidirect
17. #23774876	C₂	semidirect
18. #23774494	C₂	semidirect
19. #23774494	C₂	semidirect
20. #23774276	C₂	semidirect
21. #23774246	C₂	semidirect
22. #23774214	C₂	semidirect
23. #23774165	C₂	semidirect
24. #23773677	C₂	semidirect
25. #23773662	C₂	semidirect
26. #23772677	C₂	semidirect
27. #23772668	C₂	semidirect
28. #23772642	C₂	semidirect
29. #23772618	C₂	semidirect
30. #23772448	C₂	semidirect
31. C₇₉×#3488	C₂	semidirect
32. C₂×#14579192	C₂²	semidirect
33. C₂×#14579191	C₂²	semidirect
34. C₂×#14579187	C₂²	semidirect
35. C₂×#14579186	C₂²	semidirect
36. C₂×#14579181	C₂²	semidirect
37. C₂×#14579181	C₂²	semidirect
38. C₂²×#11929612	C₂²	semidirect
39. C₂²×#11929609	C₂²	semidirect
43. #19099283	C₂²	semidirect
44. #19099283	C₂²	semidirect
45. #19099278	C₂²	semidirect
46. #19099278	C₂²	semidirect
48. #19099222	C₂²	semidirect
49. #19099222	C₂²	semidirect
50. #19099209	C₂²	semidirect
51. #19099209	C₂²	semidirect
52. #19099184	C₂²	semidirect
53. #19099184	C₂²	semidirect
58. #19099134	C₂²	semidirect
59. #19099127	C₂²	semidirect
60. #19099074	C₂²	semidirect
61. #19099074	C₂²	semidirect
62. #19098950	C₂²	semidirect
63. #19098950	C₂²	semidirect
64. #19098945	C₂²	semidirect
65. #19098945	C₂²	semidirect
66. #19098922	C₂²	semidirect
67. #19098922	C₂²	semidirect
68. #19098909	C₂²	semidirect
69. #19098909	C₂²	semidirect
70. #19098901	C₂²	semidirect
71. #19098901	C₂²	semidirect
72. #19098898	C₂²	semidirect
73. #19098893	C₂²	semidirect
74. #19098884	C₂²	semidirect
75. #19098884	C₂²	semidirect
76. #19098884	C₂²	semidirect
77. #19098884	C₂²	semidirect
78. #19098884	C₂²	semidirect
79. #19098884	C₂²	semidirect
80. #19098881	C₂²	semidirect
81. #19098876	C₂²	semidirect
82. #19098858	C₂²	semidirect
83. #19098853	C₂²	semidirect
84. #19098848	C₂²	semidirect
85. #19098843	C₂²	semidirect
86. #19098819	C₂²	semidirect
87. #19098814	C₂²	semidirect
88. #19098814	C₂²	semidirect
89. #19098814	C₂²	semidirect
90. #19098811	C₂²	semidirect
91. #19098807	C₂²	semidirect
92. #19098807	C₂²	semidirect
93. #19098807	C₂²	semidirect
94. #19098802	C₂²	semidirect
95. #19098797	C₂²	semidirect
96. #19098797	C₂²	semidirect
97. #19098797	C₂²	semidirect
98. #19098794	C₂²	semidirect
99. #19098790	C₂²	semidirect
100. #19098790	C₂²	semidirect
101. #19098790	C₂²	semidirect
102. #19098785	C₂²	semidirect
103. #19098785	C₂²	semidirect
104. #19098782	C₂²	semidirect
105. #19098782	C₂²	semidirect
106. #19098778	C₂²	semidirect
107. #19098778	C₂²	semidirect
108. #19098775	C₂²	semidirect
109. #19098775	C₂²	semidirect
110. #19098760	C₂²	semidirect
111. #19098760	C₂²	semidirect
112. #19098755	C₂²	semidirect
113. #19098755	C₂²	semidirect
114. #19098725	C₂²	semidirect
115. #19098725	C₂²	semidirect
116. #19098725	C₂²	semidirect
117. #19098725	C₂²	semidirect
118. #19098725	C₂²	semidirect
119. #19098725	C₂²	semidirect
120. #19098725	C₂²	semidirect
121. #19098725	C₂²	semidirect
122. #19098719	C₂²	semidirect
123. #19098718	C₂²	semidirect
124. #19098714	C₂²	semidirect
125. #19098714	C₂²	semidirect
126. #19098714	C₂²	semidirect
127. #19098714	C₂²	semidirect
128. #19098714	C₂²	semidirect
129. #19098713	C₂²	semidirect
132. #19098708	C₂²	semidirect
133. #19098708	C₂²	semidirect
134. #19098708	C₂²	semidirect
135. #19098708	C₂²	semidirect
136. #19098708	C₂²	semidirect
137. #19098708	C₂²	semidirect
138. #19098706	C₂²	semidirect
139. #19098706	C₂²	semidirect
140. #19098706	C₂²	semidirect
141. #19098706	C₂²	semidirect
142. #19098702	C₂²	semidirect
143. #19098701	C₂²	semidirect
144. #19098697	C₂²	semidirect
145. #19098697	C₂²	semidirect
146. #19098697	C₂²	semidirect
147. #19098697	C₂²	semidirect
148. #19098697	C₂²	semidirect
149. #19098696	C₂²	semidirect
150. #19098673	C₂²	semidirect
151. #19098668	C₂²	semidirect
152. #19098663	C₂²	semidirect
153. #19098661	C₂²	semidirect
154. C₄×#11929614	C₂²	semidirect
155. C₄×#11929611	C₂²	semidirect
156. C₄×#11929612	C₂²	semidirect
157. C₄×#11929609	C₂²	semidirect
158. #19098641	C₂²	semidirect
159. #19098641	C₂²	semidirect
160. #19098635	C₂²	semidirect
161. #19098635	C₂²	semidirect
162. #19098635	C₂²	semidirect
163. #19098635	C₂²	semidirect
164. D₄×C₇₉⋊C₈	C₂²	semidirect
165. D₄×C₇₉⋊C₈	C₂²	semidirect
166. #19098624	C₂²	semidirect
167. #19098624	C₂²	semidirect
168. #19098572	C₂²	semidirect
169. #19098568	C₂²	semidirect
170. #19098568	C₂²	semidirect
171. #19098568	C₂²	semidirect
172. #19098559	C₂²	semidirect
173. #19098559	C₂²	semidirect
174. #19098559	C₂²	semidirect
175. #19098559	C₂²	semidirect
176. #19098530	C₂²	semidirect
177. #19098530	C₂²	semidirect
178. #19098527	C₂²	semidirect
179. C₂×C₂²⋊(C₇₉⋊C₈)	C₂²	semidirect
181. C₂²×#41×C₇₉	C₂²	semidirect
183. #550×C₇₉	C₂²	semidirect
185. #548×C₇₉	C₂²	semidirect
189. #546×C₇₉	C₂²	semidirect
193. D₄²×C₇₉	C₂²	semidirect
197. #535×C₇₉	C₂²	semidirect
201. C₂×#121×C₇₉	C₂²	semidirect
202. #520×C₇₉	C₂²	semidirect
961. #3488	D₇₉	semidirect
991. C₇₉	#61625	semidirect
993. C₂²×#41	C₂×D₇₉	semidirect
1011. #550	C₂×D₇₉	semidirect
1015. #548	C₂×D₇₉	semidirect
1021. #546	C₂×D₇₉	semidirect
1025. D₄²	C₂×D₇₉	semidirect
1037. #535	C₂×D₇₉	semidirect
1043. C₂×#121	C₂×D₇₉	semidirect
1044. #520	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777675	2
#23775642	2
#23775631	2
#23775586	2
#23775556	2
#23775466	2
#23775436	2
#23775350	2
#23775339	2
#23775103	2
#23775081	2
#23775053	2
#23775032	2
#23774981	2
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