Subgroups — #35196963

Order 20224.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777952	C₂	1	4	yes	maximal, complemented
2	#23777946	C₂	1	4	yes	maximal, complemented
3	#23777934	C₂	1	2	yes	maximal, complemented
4	#23777931	C₂	1	2	yes	maximal, complemented
5	#23777919	C₂	1	2	yes	maximal, complemented
6	#23777916	C₂	1	2	yes	maximal, complemented
7	#23777752	C₂	1	4	yes	maximal, complemented
8	#23777740	C₂	1	2	yes	maximal, complemented
9	#23777730	C₂	1	2	yes	maximal, complemented
10	#23777485	C₂	1	2	yes	maximal, complemented
11	#23777483	C₂	1	2	yes	maximal, complemented
12	#23777434	C₂	1	2	yes	maximal, complemented
13	#23777432	C₂	1	2	yes	maximal, complemented
14	#23777344	C₂	1	4	yes	maximal, complemented
15	#23777334	C₂	1	4	yes	maximal, complemented
16	#23777241	C₂	1	2	yes	maximal, complemented
17	#23777239	C₂	1	2	yes	maximal, complemented
18	#23777164	C₂	1	2	yes	maximal, complemented
19	#23777157	C₂	1	2	yes	maximal, complemented
20	#23777135	C₂	1	4	yes	maximal, complemented
21	#23777123	C₂	1	4	yes	maximal, complemented
22	#23777038	C₂	1	4	yes	maximal, complemented
23	C₂×#19099113	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#19099097	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#529×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#14579206	C₂²	1	4	yes	complemented
27	C₂²×#11929624	C₂²	1	2	yes	complemented
28	#19099317	C₂²	1	4	yes	complemented
29	#19099315	C₂²	1	8	yes	complemented
30	#19099311	C₂²	1	4	yes	complemented
31	#19099307	C₂²	1	4	yes	complemented
32	#19099305	C₂²	1	4	yes	complemented
33	#19099304	C₂²	1	8	yes	complemented
34	#19099298	C₂²	1	4	yes	complemented
35	#19099298	C₂²	1	2	yes	complemented
36	#19099295	C₂²	1	4	yes	complemented
37	Q₈×Dic₁₅₈	C₂²	1	2	yes	complemented
38	#19099278	C₂²	1	2	yes	complemented
39	#19099276	C₂²	1	8	yes	complemented
40	#19099273	C₂²	1	4	yes	complemented
41	#19099273	C₂²	1	2	yes	complemented
42	#19099270	C₂²	1	2	yes	complemented
43	#19099269	C₂²	1	4	yes	complemented
44	#19099266	C₂²	1	4	yes	complemented
45	#19099264	C₂²	1	8	yes	complemented
46	#19099262	C₂²	1	8	yes	complemented
47	#19099261	C₂²	1	8	yes	complemented
48	#19099261	C₂²	1	4	yes	complemented
49	#19099259	C₂²	1	4	yes	complemented
50	#19099259	C₂²	1	4	yes	complemented
51	#19099257	C₂²	1	8	yes	complemented
52	#19099255	C₂²	1	4	yes	complemented
53	#19099253	C₂²	1	4	yes	complemented
54	#19099242	C₂²	1	8	yes	complemented
55	#19099240	C₂²	1	8	yes	complemented
56	#19099238	C₂²	1	8	yes	complemented
57	#19099237	C₂²	1	8	yes	complemented
58	#19099237	C₂²	1	8	yes	complemented
59	#19099235	C₂²	1	2	yes	complemented
60	#19099234	C₂²	1	2	yes	complemented
61	#19099224	C₂²	1	4	yes	complemented
62	#19099222	C₂²	1	4	yes	complemented
63	#19099217	C₂²	1	4	yes	complemented
64	#19099217	C₂²	1	4	yes	complemented
65	#19099214	C₂²	1	8	yes	complemented
66	#19099214	C₂²	1	8	yes	complemented
67	#19099214	C₂²	1	4	yes	complemented
68	#19099213	C₂²	1	4	yes	complemented
69	#19099211	C₂²	1	8	yes	complemented
70	#19099211	C₂²	1	8	yes	complemented
71	#19099209	C₂²	1	4	yes	complemented
72	#19099209	C₂²	1	4	yes	complemented
73	#19099208	C₂²	1	8	yes	complemented
74	#19099208	C₂²	1	8	yes	complemented
75	#19099206	C₂²	1	4	yes	complemented
76	#19099205	C₂²	1	8	yes	complemented
77	#19099205	C₂²	1	8	yes	complemented
78	#19099204	C₂²	1	4	yes	complemented
79	#19099203	C₂²	1	8	yes	complemented
80	#19099203	C₂²	1	8	yes	complemented
81	#19099203	C₂²	1	8	yes	complemented
82	#19099202	C₂²	1	8	yes	complemented
83	D₄×D₃₁₆	C₂²	1	4	yes	complemented
84	D₄×D₃₁₆	C₂²	1	4	yes	complemented
85	D₄×D₃₁₆	C₂²	1	2	yes	complemented
86	#19099197	C₂²	1	4	yes	complemented
87	D₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
88	#19099193	C₂²	1	4	yes	complemented
89	#19099191	C₂²	1	4	yes	complemented
90	#19099185	C₂²	1	4	yes	complemented
91	#19099185	C₂²	1	8	yes	complemented
92	#19099184	C₂²	1	4	yes	complemented
93	#19099184	C₂²	1	4	yes	complemented
94	#19099182	C₂²	1	4	yes	complemented
95	#19099179	C₂²	1	8	yes	complemented
96	#19099169	C₂²	1	4	yes	complemented
97	#19099168	C₂²	1	4	yes	complemented
98	#19099168	C₂²	1	4	yes	complemented
99	#19099164	C₂²	1	4	yes	complemented
100	#19099162	C₂²	1	4	yes	complemented
101	#19099161	C₂²	1	8	yes	complemented
102	#19099160	C₂²	1	4	yes	complemented
103	#19099154	C₂²	1	8	yes	complemented
104	#19099153	C₂²	1	4	yes	complemented
105	#19099152	C₂²	1	8	yes	complemented
106	#19099152	C₂²	1	8	yes	complemented
107	#19099151	C₂²	1	4	yes	complemented
108	#19099147	C₂²	1	8	yes	complemented
109	#19099146	C₂²	1	8	yes	complemented
110	#19099144	C₂²	1	4	yes	complemented
111	#19099140	C₂²	1	4	yes	complemented
112	#19099135	C₂²	1	8	yes	complemented
113	#19099132	C₂²	1	4	yes	complemented
114	#19099131	C₂²	1	4	yes	complemented
115	#19099125	C₂²	1	4	yes	complemented
116	#19099125	C₂²	1	4	yes	complemented
117	#19099124	C₂²	1	8	yes	complemented
118	#19099122	C₂²	1	4	yes	complemented
119	#19099121	C₂²	1	4	yes	complemented
120	#19099113	C₂²	1	2	yes	complemented
121	#19099113	C₂²	1	2	yes	complemented
122	#19099113	C₂²	1	4	yes	complemented
123	#19099113	C₂²	1	2	yes	complemented
124	#19099113	C₂²	1	2	yes	complemented
125	#19099113	C₂²	1	2	yes	complemented
126	#19099113	C₂²	1	2	yes	complemented
127	#19099113	C₂²	1	2	yes	complemented
128	#19099113	C₂²	1	2	yes	complemented
129	#19099108	C₂²	1	4	yes	complemented
130	C₂×#14579161	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
132	#19099099	C₂²	1	4	yes	complemented
133	#19099097	C₂²	1	2	yes	complemented
134	#19099097	C₂²	1	2	yes	complemented
135	#19099097	C₂²	1	2	yes	complemented
136	#19099097	C₂²	1	4	yes	complemented
137	#19099097	C₂²	1	2	yes	complemented
138	#19099097	C₂²	1	2	yes	complemented
139	#19099097	C₂²	1	2	yes	complemented
140	#19099097	C₂²	1	2	yes	complemented
141	#19099097	C₂²	1	2	yes	complemented
142	C₂×#14579155	C₂²	1	2	yes	complemented
143	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
144	C₂×#14579149	C₂²	1	1	yes	characteristic, complemented
145	C₂×#14579149	C₂²	1	2	yes	complemented
146	#19099076	C₂²	1	4	yes	complemented
147	#19099074	C₂²	1	4	yes	complemented
148	#19099071	C₂²	1	8	yes	complemented
149	C₂×#14579144	C₂²	1	2	yes	complemented
150	#123×D₇₉	C₂²	1	8	yes	complemented
151	C₂×#14579140	C₂²	1	1	yes	characteristic, complemented
152	C₂×#14579135	C₂²	1	1	yes	characteristic
153	C₂×#14579135	C₂²	1	4	yes	complemented
154	C₂×#14579135	C₂²	1	2	yes	complemented
155	C₂×#14579135	C₂²	1	2	yes	complemented
156	#121×D₇₉	C₂²	1	4	yes	complemented
157	#19099045	C₂²	1	4	yes	complemented
158	#19099043	C₂²	1	4	yes	complemented
159	#19099037	C₂²	1	4	yes	complemented
160	#19099036	C₂²	1	4	yes	complemented
161	#19099035	C₂²	1	4	yes	complemented
162	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
164	C₂×C₄×D₃₁₆	C₂²	1	2	yes	complemented
165	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
166	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
167	C₂×#14579118	C₂²	1	2	yes	complemented
168	#529×C₇₉	C₂²	1	2	yes	complemented
169	#529×C₇₉	C₂²	1	2	yes	complemented
170	#529×C₇₉	C₂²	1	2	yes	complemented
171	#529×C₇₉	C₂²	1	2	yes	complemented
172	#529×C₇₉	C₂²	1	2	yes	complemented
173	#529×C₇₉	C₂²	1	2	yes	complemented
174	#529×C₇₉	C₂²	1	2	yes	complemented
175	#529×C₇₉	C₂²	1	2	yes	complemented
176	C₂×#126×C₇₉	C₂²	1	2	yes	complemented
177	C₂×#125×C₇₉	C₂²	1	1	yes	characteristic, complemented
178	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
179	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
180	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
181	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic
182	C₂×C₄×Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₄×D₄×C₇₉	C₂²	1	2	yes	complemented
184	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
185	C₂×#117×C₇₉	C₂²	1	2	yes	complemented
186	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
187	#14579206	—	4	16	no	—
188	C₂×#11929625	C₂³	1	4	yes	—
189	C₂×#11929624	—	4	8	no	—
190	C₂×#11929624	C₂³	1	8	yes	—
191	C₂×#11929624	C₂³	1	4	yes	—
192	C₂×#11929624	C₂³	1	4	yes	—
193	C₂×#11929624	C₂³	1	4	yes	—
194	C₂×#11929624	C₂³	1	4	yes	—
195	C₂×#11929624	C₂³	1	4	yes	—
196	C₂×#11929623	C₂³	1	8	yes	—
197	C₂×#11929623	C₂³	1	8	yes	—
198	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
200	C₂²×D₃₁₆	C₂³	1	2	yes	—
201	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
202	C₂²×D₃₁₆	C₂³	1	4	yes	—
203	C₂²×D₃₁₆	C₂³	1	2	yes	—
204	C₂²×D₃₁₆	C₂³	1	2	yes	—
205	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
206	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
207	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
208	C₂×D₄×D₇₉	C₂³	1	8	yes	—
209	C₂×D₄×D₇₉	C₂³	1	8	yes	—
210	C₂×D₄×D₇₉	C₂³	1	4	yes	—
211	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
212	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
213	#14579161	C₂³	1	2	yes	—
214	#14579161	C₂³	1	2	yes	—
215	#14579161	C₂³	1	4	yes	—
216	#14579161	C₂³	1	2	yes	—
217	#14579161	C₂³	1	2	yes	—
218	#14579160	C₂³	1	8	yes	—
219	#14579160	C₂³	1	4	yes	—
220	#14579160	C₂³	1	8	yes	—
221	#14579158	C₂³	1	2	yes	—
222	#14579158	C₂³	1	4	yes	—
223	#14579158	C₂³	1	2	yes	—
224	#14579158	C₂³	1	2	yes	—
225	#14579158	C₂³	1	2	yes	—
226	#14579157	C₂³	1	4	yes	—
227	#14579156	C₂³	1	8	yes	—
228	#14579156	C₂³	1	8	yes	—
229	#14579156	C₂³	1	8	yes	—
230	#14579156	C₂³	1	8	yes	—
231	#14579155	C₂³	1	4	yes	—
232	#14579155	C₂³	1	4	yes	—
233	#14579155	C₂³	1	8	yes	—
234	#14579155	C₂³	1	4	yes	—
235	#14579155	C₂³	1	4	yes	—
236	#14579154	C₂³	1	8	yes	—
237	#14579153	C₂³	1	2	yes	—
238	#14579153	C₂³	1	2	yes	—
239	#14579153	C₂³	1	4	yes	—
240	#14579153	C₂³	1	2	yes	—
241	#14579153	C₂³	1	2	yes	—
242	#14579152	C₂³	1	8	yes	—
243	#14579152	C₂³	1	4	yes	—
244	#14579151	C₂³	1	8	yes	—
245	#14579150	C₂³	1	8	yes	—
246	#14579150	C₂³	1	4	yes	—
247	#14579149	C₂³	1	4	yes	—
248	#14579149	C₂³	1	2	yes	—
249	#14579149	C₂³	1	4	yes	—
250	#14579149	C₂³	1	2	yes	—
251	#14579149	C₂³	1	4	yes	—
252	#14579149	C₂³	1	8	yes	—
253	#14579149	C₂³	1	2	yes	—
254	#14579149	C₂³	1	4	yes	—
255	#14579149	C₂³	1	2	yes	—
256	#14579149	C₂³	1	4	yes	—
257	#14579147	C₂³	1	8	yes	—
258	#14579147	C₂³	1	8	yes	—
259	#14579147	C₂³	1	8	yes	—
260	#14579147	C₂³	1	8	yes	—
261	#14579146	C₂³	1	8	yes	—
262	#14579146	C₂³	1	8	yes	—
263	#14579146	C₂³	1	8	yes	—
264	#14579146	C₂³	1	8	yes	—
265	#14579146	C₂³	1	8	yes	—
266	#14579146	C₂³	1	8	yes	—
267	#14579146	C₂³	1	8	yes	—
268	#14579146	C₂³	1	8	yes	—
269	#14579146	C₂³	1	8	yes	—
270	#14579145	C₂³	1	8	yes	—
271	#14579145	C₂³	1	8	yes	—
272	#14579145	C₂³	1	8	yes	—
273	#14579145	C₂³	1	8	yes	—
274	#14579144	C₂³	1	8	yes	—
275	#14579144	C₂³	1	8	yes	—
276	#14579144	C₂³	1	4	yes	—
277	#14579144	C₂³	1	4	yes	—
278	#14579144	C₂³	1	4	yes	—
279	#14579144	C₂³	1	4	yes	—
280	#14579143	C₂³	1	8	yes	—
281	#14579143	C₂³	1	8	yes	—
282	#14579143	C₂³	1	8	yes	—
283	#14579143	C₂³	1	8	yes	—
284	#14579142	C₂³	1	8	yes	—
285	#14579141	C₂³	1	8	yes	—
286	#14579141	C₂³	1	8	yes	—
287	#14579140	C₂³	1	2	yes	—
288	#14579140	C₂³	1	4	yes	—
289	#14579140	C₂³	1	2	yes	—
290	#14579140	C₂³	1	2	yes	—
291	#14579140	C₂³	1	2	yes	—
292	#14579139	C₂³	1	8	yes	—
293	#14579139	C₂³	1	8	yes	—
294	#14579139	C₂³	1	8	yes	—
295	#14579139	C₂³	1	8	yes	—
296	#14579139	C₂³	1	8	yes	—
297	#14579139	C₂³	1	8	yes	—
298	#14579138	C₂³	1	8	yes	—
299	#14579138	C₂³	1	8	yes	—
300	#14579138	C₂³	1	8	yes	—
301	#14579137	C₂³	1	8	yes	—
302	#14579137	C₂³	1	4	yes	—
303	#14579136	C₂³	1	8	yes	—
304	#14579136	C₂³	1	8	yes	—
305	#14579136	C₂³	1	8	yes	—
306	#14579136	C₂³	1	8	yes	—
307	#14579136	C₂³	1	4	yes	—
308	#14579136	C₂³	1	4	yes	—
309	#14579136	C₂³	1	8	yes	—
310	#14579135	C₂³	1	4	yes	—
311	#14579135	C₂³	1	2	yes	—
312	#14579135	C₂³	1	4	yes	—
313	#14579135	C₂³	1	8	yes	—
314	#14579135	C₂³	1	8	yes	—
315	#14579135	C₂³	1	4	yes	—
316	#14579135	C₂³	1	4	yes	—
317	#14579135	C₂³	1	4	yes	—
318	#14579135	C₂³	1	4	yes	—
319	#14579135	C₂³	1	2	yes	—
320	#14579135	C₂³	1	4	yes	—
321	#14579135	C₂³	1	4	yes	—
322	#14579135	C₂³	1	8	yes	—
323	#14579135	C₂³	1	2	yes	—
324	#14579135	C₂³	1	4	yes	—
325	#14579135	C₂³	1	4	yes	—
326	#14579135	C₂³	1	2	yes	—
327	#14579135	C₂³	1	4	yes	—
328	#14579134	C₂³	1	8	yes	—
329	#14579134	C₂³	1	8	yes	—
330	#14579134	C₂³	1	8	yes	—
331	#14579134	C₂³	1	8	yes	—
332	#14579134	C₂³	1	8	yes	—
333	#14579134	C₂³	1	8	yes	—
334	#14579134	C₂³	1	8	yes	—
335	#14579133	C₂³	1	8	yes	—
336	#14579133	C₂³	1	8	yes	—
337	#14579133	C₂³	1	8	yes	—
338	#14579132	C₂³	1	4	yes	—
339	#14579131	C₂³	1	8	yes	—
340	#14579131	C₂³	1	8	yes	—
341	#14579131	C₂³	1	8	yes	—
342	#14579131	C₂³	1	8	yes	—
343	#14579131	C₂³	1	8	yes	—
344	#14579131	C₂³	1	8	yes	—
345	#14579131	C₂³	1	8	yes	—
346	#14579130	C₂³	1	8	yes	—
347	#14579129	C₂³	1	8	yes	—
348	#14579129	C₂³	1	8	yes	—
349	Q₈×Dic₇₉	C₂³	1	4	yes	—
350	C₄×Dic₁₅₈	C₂³	1	2	yes	—
351	C₄×Dic₁₅₈	C₂³	1	2	yes	—
352	C₄×Dic₁₅₈	C₂³	1	4	yes	—
353	C₄×Dic₁₅₈	C₂³	1	2	yes	—
354	C₄×Dic₁₅₈	C₂³	1	2	yes	—
355	C₄×D₃₁₆	C₂³	1	4	yes	—
356	C₄×D₃₁₆	C₂³	1	2	yes	—
357	C₄×D₃₁₆	C₂³	1	4	yes	—
358	C₄×D₃₁₆	C₂³	1	4	yes	—
359	C₄×D₃₁₆	C₂³	1	2	yes	—
360	C₄×D₃₁₆	C₂³	1	4	yes	—
361	C₄×D₃₁₆	C₂³	1	4	yes	—
362	C₄×D₃₁₆	C₂³	1	4	yes	—
363	C₄×D₃₁₆	C₂³	1	4	yes	—
364	C₄×D₃₁₆	C₂³	1	8	yes	—
365	C₄×D₃₁₆	C₂³	1	2	yes	—
366	C₄×D₃₁₆	C₂³	1	2	yes	—
367	C₄×D₃₁₆	C₂³	1	4	yes	—
368	C₄×D₃₁₆	C₂³	1	4	yes	—
369	C₄×D₃₁₆	C₂³	1	4	yes	—
370	C₄×D₃₁₆	C₂³	1	4	yes	—
371	D₄×Dic₇₉	C₂³	1	4	yes	—
372	#14579123	C₂³	1	8	yes	—
373	#14579123	C₂³	1	8	yes	—
374	#14579123	C₂³	1	8	yes	—
375	#14579123	C₂³	1	4	yes	—
376	#14579123	C₂³	1	4	yes	—
377	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
378	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
379	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
380	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
381	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
382	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
383	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
384	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
385	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
386	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
387	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
388	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
389	#14579120	C₂³	1	4	yes	—
390	#14579119	C₂³	1	8	yes	—
391	#14579119	C₂³	1	4	yes	—
392	#14579118	C₂³	1	4	yes	—
393	#14579118	C₂³	1	4	yes	—
394	#14579118	C₂³	1	8	yes	—
395	#14579118	C₂³	1	4	yes	—
396	#14579118	C₂³	1	4	yes	—
397	#14579117	C₂³	1	8	yes	—
398	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
399	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
400	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
402	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
403	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
404	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
405	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
406	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
407	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
408	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
409	C₄⋊C₄×D₇₉	C₂³	1	4	yes	—
410	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
411	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
412	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
413	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
414	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
415	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
416	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
417	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
418	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
419	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
420	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
421	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
422	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
423	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
424	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
425	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
426	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
427	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
428	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
429	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
430	#126×C₇₉	C₂³	1	4	yes	—
431	#126×C₇₉	C₂³	1	4	yes	—
432	#126×C₇₉	C₂³	1	4	yes	—
433	#126×C₇₉	C₂³	1	4	yes	—
434	#125×C₇₉	C₂³	1	2	yes	—
435	#125×C₇₉	C₂³	1	2	yes	—
436	#125×C₇₉	C₂³	1	2	yes	—
437	#125×C₇₉	C₂³	1	2	yes	—
438	#124×C₇₉	C₂³	1	2	yes	—
439	#124×C₇₉	C₂³	1	2	yes	—
440	#124×C₇₉	C₂³	1	2	yes	—
441	#124×C₇₉	C₂³	1	2	yes	—
442	#123×C₇₉	C₂³	1	4	yes	—
443	#123×C₇₉	C₂³	1	4	yes	—
444	#123×C₇₉	C₂³	1	4	yes	—
445	#123×C₇₉	C₂³	1	4	yes	—
446	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
447	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
448	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
449	C₂²⋊Q₈×C₇₉	C₂³	1	2	yes	—
450	#121×C₇₉	C₂³	1	2	yes	—
451	#121×C₇₉	C₂³	1	2	yes	—
452	#121×C₇₉	C₂³	1	2	yes	—
453	#121×C₇₉	C₂³	1	2	yes	—
454	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
455	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
456	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
457	C₄×Q₈×C₇₉	C₂³	1	2	yes	—
458	C₄×D₄×C₇₉	C₂³	1	2	yes	—
459	C₄×D₄×C₇₉	C₂³	1	2	yes	—
460	C₄×D₄×C₇₉	C₂³	1	4	yes	—
461	C₄×D₄×C₇₉	C₂³	1	4	yes	—
462	C₄×D₄×C₇₉	C₂³	1	2	yes	—
463	C₄×D₄×C₇₉	C₂³	1	4	yes	—
464	C₄×D₄×C₇₉	C₂³	1	4	yes	—
465	C₄×D₄×C₇₉	C₂³	1	2	yes	—
466	#117×C₇₉	C₂³	1	4	yes	—
467	#117×C₇₉	C₂³	1	4	yes	—
468	#117×C₇₉	C₂³	1	4	yes	—
469	#117×C₇₉	C₂³	1	4	yes	—
470	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
471	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
472	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
473	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
474	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
475	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
476	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
477	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
478	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
479	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
480	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
481	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
488	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
489	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
490	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
491	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
492	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
493	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
494	C₂³×D₇₉	C₂⁴	1	4	yes	—
495	C₂³×D₇₉	C₂⁴	1	2	yes	—
496	C₂³×D₇₉	C₂⁴	1	8	yes	—
497	#11929625	—	4	8	no	—
498	#11929624	—	4	8	no	—
499	#11929624	—	4	8	no	—
500	#11929624	—	4	8	no	—
501	#11929624	—	4	8	no	—
502	#11929624	—	4	16	no	—
503	#11929624	—	4	8	no	—
504	#11929623	—	4	16	no	—
505	#11929623	—	4	16	no	—
506	C₂×Dic₁₅₈	—	4	2	no	—
507	C₂×Dic₁₅₈	—	4	4	no	—
508	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
509	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
510	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
511	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
512	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
513	C₂×D₃₁₆	—	4	4	no	—
514	C₂×D₃₁₆	—	4	4	no	—
515	C₂×D₃₁₆	—	4	4	no	—
516	C₂×D₃₁₆	—	4	2	no	—
517	C₂×D₃₁₆	—	4	8	no	—
518	C₂×D₃₁₆	C₂⁴	1	4	yes	—
519	C₂×D₃₁₆	C₂⁴	1	4	yes	—
520	C₂×D₃₁₆	C₂⁴	1	2	yes	—
521	C₂×D₃₁₆	C₂⁴	1	4	yes	—
522	C₂×D₃₁₆	C₂⁴	1	4	yes	—
523	C₂×D₃₁₆	C₂⁴	1	8	yes	—
524	C₂×D₃₁₆	C₂⁴	1	8	yes	—
525	C₂×D₃₁₆	C₂⁴	1	8	yes	—
526	C₂×D₃₁₆	C₂⁴	1	2	yes	—
527	C₂×D₃₁₆	C₂⁴	1	4	yes	—
528	C₂×D₃₁₆	C₂⁴	1	4	yes	—
529	C₂×C₂²⋊D₇₉	—	2	16	no	—
530	C₂×C₂²⋊D₇₉	—	2	8	no	—
531	C₂×C₂²⋊D₇₉	—	4	16	no	—
532	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
533	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
534	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
535	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
536	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
537	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
538	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
539	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
540	D₄×D₇₉	—	4	16	no	—
541	D₄×D₇₉	—	4	16	no	—
542	D₄×D₇₉	—	4	8	no	—
543	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
544	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
545	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
546	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
547	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
548	C₂×C₄×D₇₉	—	4	8	no	—
549	C₂×C₄×D₇₉	—	4	4	no	—
550	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
551	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
552	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
553	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
554	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
555	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
556	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
557	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
558	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
559	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
560	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
561	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
562	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
563	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
564	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
565	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
566	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
567	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
568	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
569	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
570	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
571	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
572	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
573	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
574	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
575	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
576	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
577	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
578	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
579	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
580	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
581	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
582	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
583	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
584	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
585	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
586	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
587	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
588	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
589	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
590	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
591	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
592	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
593	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
594	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
595	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
596	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
597	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
598	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
599	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
600	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
601	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
602	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
603	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
604	C₄×Dic₇₉	C₂⁴	1	4	yes	—
605	C₄×Dic₇₉	C₂⁴	1	4	yes	—
606	C₄×Dic₇₉	C₂⁴	1	8	yes	—
607	C₄×Dic₇₉	C₂⁴	1	8	yes	—
608	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
609	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
610	C₂×Q₈×C₇₉	—	4	2	no	—
611	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
612	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
613	C₂×D₄×C₇₉	—	2	8	no	—
614	C₂×D₄×C₇₉	—	4	2	no	—
615	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
616	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
617	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
618	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
619	C₂²×C₄×C₇₉	—	2	4	no	—
620	C₂²×C₄×C₇₉	—	4	2	no	—
621	C₂²×C₄×C₇₉	—	4	2	no	—
622	C₂²×C₄×C₇₉	—	4	4	no	—
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	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
630	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
631	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
632	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
634	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
635	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
636	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
637	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
638	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
639	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
640	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
641	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
642	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
643	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
644	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
645	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
650	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
651	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
655	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
656	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
658	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
665	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
668	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
669	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
670	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
671	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
672	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
673	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
674	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
675	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
676	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
677	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
678	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
679	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
680	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
681	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
682	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
683	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
684	C₄²×C₇₉	C₂⁴	1	4	yes	—
685	C₄²×C₇₉	C₂⁴	1	4	yes	—
686	C₂³×C₇₉	—	2	4	no	—
687	C₂³×C₇₉	—	4	1	no	—
688	C₂³×C₇₉	—	4	1	no	—
689	C₂³×C₇₉	—	4	2	no	—
690	C₂³×C₇₉	—	4	2	no	—
691	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
692	C₂³×C₇₉	C₂⁵	1	4	yes	—
693	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
694	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
695	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
696	C₂²×D₇₉	—	2	8	no	—
697	C₂²×D₇₉	—	2	4	no	—
698	C₂²×D₇₉	—	4	2	no	—
699	C₂²×D₇₉	—	4	4	no	—
700	C₂²×D₇₉	—	4	4	no	—
701	C₂²×D₇₉	—	4	2	no	—
702	C₂²×D₇₉	—	4	8	no	—
703	C₂²×D₇₉	—	4	8	no	—
704	C₂²×D₇₉	—	4	8	no	—
705	C₂²×D₇₉	C₂⁵	1	4	yes	—
706	C₂²×D₇₉	C₂⁵	1	8	yes	—
707	Q₈×C₇₉	—	2	4	no	—
708	Q₈×C₇₉	—	4	2	no	—
709	D₄×C₇₉	—	2	8	no	—
710	D₄×C₇₉	—	2	8	no	—
711	D₄×C₇₉	—	2	4	no	—
712	D₄×C₇₉	—	4	2	no	—
713	C₂×C₄×C₇₉	—	2	2	no	—
714	C₂×C₄×C₇₉	—	2	2	no	—
715	C₂×C₄×C₇₉	—	2	2	no	—
716	C₂×C₄×C₇₉	—	2	2	no	—
717	C₂×C₄×C₇₉	—	2	2	no	—
718	C₂×C₄×C₇₉	—	2	2	no	—
719	C₂×C₄×C₇₉	—	2	4	no	—
720	C₂×C₄×C₇₉	—	2	2	no	—
721	C₂×C₄×C₇₉	—	2	2	no	—
722	C₂×C₄×C₇₉	—	2	2	no	—
723	C₂×C₄×C₇₉	—	2	2	no	—
724	C₂×C₄×C₇₉	—	2	8	no	—
725	C₂×C₄×C₇₉	—	2	2	no	—
726	C₂×C₄×C₇₉	—	2	2	no	—
727	C₂×C₄×C₇₉	—	4	1	no	—
728	C₂×C₄×C₇₉	—	4	4	no	—
729	C₂×C₄×C₇₉	—	4	1	no	—
730	C₂×C₄×C₇₉	—	4	1	no	—
731	C₂×C₄×C₇₉	—	4	1	no	—
732	C₂×C₄×C₇₉	—	4	1	no	—
733	C₂×C₄×C₇₉	—	4	1	no	—
734	C₂×C₄×C₇₉	—	4	2	no	—
735	C₂×C₄×C₇₉	—	4	2	no	—
736	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
737	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
738	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
739	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
740	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
741	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
742	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
743	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
744	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
745	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
746	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
747	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
748	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
749	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
750	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
751	C₂²⋊D₇₉	—	2	8	no	—
752	C₂²⋊D₇₉	—	2	16	no	—
753	C₂²⋊D₇₉	—	2	8	no	—
754	C₂²⋊D₇₉	—	2	16	no	—
755	C₂²⋊D₇₉	—	4	8	no	—
756	C₂²⋊D₇₉	—	4	8	no	—
757	C₂²⋊D₇₉	—	4	8	no	—
758	C₂²⋊D₇₉	—	4	8	no	—
759	C₂×Dic₇₉	—	2	8	no	—
760	C₂×Dic₇₉	—	2	4	no	—
761	C₂×Dic₇₉	—	4	2	no	—
762	C₂×Dic₇₉	—	4	8	no	—
763	C₂×Dic₇₉	—	4	2	no	—
764	C₂×Dic₇₉	C₂⁵	1	4	yes	—
765	C₂×Dic₇₉	C₂⁵	1	4	yes	—
766	C₂×Dic₇₉	C₂⁵	1	8	yes	—
767	C₂×Dic₇₉	C₂⁵	1	4	yes	—
768	D₃₁₆	—	2	8	no	—
769	D₃₁₆	—	2	4	no	—
770	D₃₁₆	—	2	8	no	—
771	D₃₁₆	—	4	8	no	—
772	D₃₁₆	—	4	2	no	—
773	D₃₁₆	—	4	8	no	—
774	D₃₁₆	—	4	4	no	—
775	D₃₁₆	—	4	4	no	—
776	D₃₁₆	—	4	4	no	—
777	D₃₁₆	—	4	4	no	—
778	D₃₁₆	—	4	8	no	—
779	C₄×D₇₉	—	2	8	no	—
780	C₄×D₇₉	—	4	4	no	—
781	C₄×D₇₉	—	4	8	no	—
782	C₄×D₇₉	—	4	8	no	—
783	C₄×D₇₉	—	4	8	no	—
784	C₄×D₇₉	—	4	8	no	—
785	C₄×D₇₉	—	4	8	no	—
786	C₄×D₇₉	—	4	8	no	—
787	Dic₁₅₈	—	2	4	no	—
788	Dic₁₅₈	—	4	2	no	—
789	Dic₁₅₈	—	4	4	no	—
790	Dic₁₅₈	—	4	4	no	—
791	Dic₁₅₈	—	4	8	no	—
792	C₂²×C₇₉	—	2	1	no	—
793	C₂²×C₇₉	—	2	1	no	—
794	C₂²×C₇₉	—	2	1	no	—
795	C₂²×C₇₉	—	2	1	no	—
796	C₂²×C₇₉	—	2	1	no	—
797	C₂²×C₇₉	—	2	1	no	—
798	C₂²×C₇₉	—	2	4	no	—
799	C₂²×C₇₉	—	2	4	no	—
800	C₂²×C₇₉	—	2	4	no	—
801	C₂²×C₇₉	—	4	4	no	—
802	C₂²×C₇₉	—	8	4	no	—
803	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
804	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
805	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
806	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
807	C₂×D₇₉	—	2	4	no	—
808	C₂×D₇₉	—	2	8	no	—
809	C₂×D₇₉	—	2	8	no	—
810	C₂×D₇₉	—	2	8	no	—
811	C₂×D₇₉	—	2	4	no	—
812	C₂×D₇₉	—	2	4	no	—
813	C₂×D₇₉	—	8	8	no	—
814	C₂×D₇₉	—	8	4	no	—
815	C₂×D₇₉	—	16	8	no	—
816	C₄×C₇₉	—	2	1	no	—
817	C₄×C₇₉	—	2	1	no	—
818	C₄×C₇₉	—	2	1	no	—
819	C₄×C₇₉	—	2	1	no	—
820	C₄×C₇₉	—	2	4	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	4	no	—
826	C₄×C₇₉	—	2	1	no	—
827	C₄×C₇₉	—	2	1	no	—
828	C₄×C₇₉	—	2	4	no	—
829	C₄×C₇₉	#585	1	2	yes	—
830	C₄×C₇₉	#585	1	2	yes	—
831	Dic₇₉	—	2	4	no	—
832	Dic₇₉	—	2	8	no	—
833	Dic₇₉	—	2	4	no	—
834	Dic₇₉	—	2	4	no	—
835	#62822	—	79	1	no	maximal, Sylow
836	C₂×C₇₉	—	2	2	no	—
837	C₂×C₇₉	—	2	2	no	—
838	C₂×C₇₉	—	2	2	no	—
839	C₂×C₇₉	—	4	4	no	—
840	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
841	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
842	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
843	D₇₉	—	4	8	no	—
844	D₇₉	—	4	4	no	—
845	#3560	—	79	4	no	—
846	#3560	—	79	4	no	—
847	#3559	—	79	2	no	—
848	#3559	—	79	2	no	—
849	#3558	—	79	2	no	—
850	#3558	—	79	2	no	—
851	#3545	—	79	4	no	—
852	#3544	—	79	2	no	—
853	#3543	—	79	2	no	—
854	#3522	—	79	2	no	—
855	#3522	—	79	2	no	—
856	#3519	—	79	2	no	—
857	#3519	—	79	2	no	—
858	#3513	—	79	4	no	—
859	#3513	—	79	4	no	—
860	#3505	—	79	2	no	—
861	#3505	—	79	2	no	—
862	#3496	—	79	2	no	—
863	#3496	—	79	2	no	—
864	#3494	—	79	4	no	—
865	#3494	—	79	4	no	—
866	#3485	—	79	4	no	—
867	C₂×#532	—	79	1	no	—
868	C₂×#529	—	79	1	no	—
869	C₂×#529	D₇₉	1	1	yes	characteristic, complemented
870	C₇₉	#62822	1	1	yes	characteristic, complemented, Sylow
871	C₂×H(5,𝔽₂)	—	79	4	no	—
872	C₂²×#41	—	79	2	no	—
873	#563	—	79	8	no	—
874	#563	—	79	4	no	—
875	#562	—	79	4	no	—
876	#562	—	79	4	no	—
877	H(3,𝔽₄)	—	79	4	no	—
878	#560	—	79	8	no	—
879	#559	—	79	4	no	—
880	#559	—	79	4	no	—
881	#559	—	79	2	no	—
882	Q₈²	—	79	2	no	—
883	#555	—	79	2	no	—
884	#555	—	79	8	no	—
885	#554	—	79	4	no	—
886	#554	—	79	4	no	—
887	#554	—	79	2	no	—
888	#554	—	79	2	no	—
889	#553	—	79	8	no	—
890	#553	—	79	4	no	—
891	#553	—	79	4	no	—
892	#553	—	79	4	no	—
893	#553	—	79	8	no	—
894	#553	—	79	8	no	—
895	#553	—	79	8	no	—
896	#553	—	79	4	no	—
897	#552	—	79	4	no	—
898	#552	—	79	4	no	—
899	#551	—	79	8	no	—
900	#551	—	79	8	no	—
901	#551	—	79	8	no	—
902	#551	—	79	8	no	—
903	#551	—	79	8	no	—
904	#550	—	79	2	no	—
905	#550	—	79	2	no	—
906	#548	—	79	4	no	—
907	#548	—	79	4	no	—
908	#547	—	79	8	no	—
909	#547	—	79	8	no	—
910	#547	—	79	4	no	—
911	#547	—	79	4	no	—
912	#547	—	79	4	no	—
913	#547	—	79	8	no	—
914	#547	—	79	8	no	—
915	#547	—	79	4	no	—
916	#546	—	79	4	no	—
917	#546	—	79	8	no	—
918	#546	—	79	8	no	—
919	#546	—	79	4	no	—
920	#546	—	79	8	no	—
921	#546	—	79	8	no	—
922	#546	—	79	8	no	—
923	#546	—	79	4	no	—
924	#546	—	79	4	no	—
925	#546	—	79	8	no	—
926	#546	—	79	8	no	—
927	#546	—	79	8	no	—
928	D₄²	—	79	4	no	—
929	D₄²	—	79	4	no	—
930	D₄²	—	79	4	no	—
931	D₄²	—	79	4	no	—
932	D₄²	—	79	2	no	—
933	#544	—	79	4	no	—
934	#544	—	79	4	no	—
935	#542	—	79	8	no	—
936	#542	—	79	4	no	—
937	#542	—	79	4	no	—
938	#542	—	79	8	no	—
939	#542	—	79	4	no	—
940	#542	—	79	4	no	—
941	#540	—	79	4	no	—
942	#540	—	79	4	no	—
943	#540	—	79	4	no	—
944	#540	—	79	4	no	—
945	#539	—	79	8	no	—
946	#539	—	79	8	no	—
947	#539	—	79	4	no	—
948	#539	—	79	4	no	—
949	#538	—	79	8	no	—
950	#538	—	79	8	no	—
951	#538	—	79	8	no	—
952	#538	—	79	4	no	—
953	#538	—	79	8	no	—
954	#538	—	79	4	no	—
955	#537	—	79	4	no	—
956	#537	—	79	4	no	—
957	#536	—	79	8	no	—
958	#535	—	79	4	no	—
959	#535	—	79	4	no	—
960	#534	—	79	4	no	—
961	#534	—	79	8	no	—
962	#534	—	79	4	no	—
963	#534	—	79	4	no	—
964	#534	—	79	4	no	—
965	#532	—	79	4	no	—
966	#532	—	79	2	no	—
967	#532	—	79	2	no	—
968	#532	—	79	2	no	—
969	#532	—	79	2	no	—
970	#532	—	79	2	no	—
971	#532	—	79	2	no	—
972	#532	—	79	2	no	—
973	#532	—	79	2	no	—
974	#532	—	79	4	no	—
975	C₂×C₄⋊Q₈	—	79	1	no	—
976	C₂×#127	—	79	1	no	—
977	#529	—	79	4	no	—
978	#529	—	79	2	no	—
979	#529	—	79	2	no	—
980	#529	—	79	2	no	—
981	#529	—	79	2	no	—
982	#529	—	79	2	no	—
983	#529	—	79	2	no	—
984	#529	—	79	2	no	—
985	#529	—	79	2	no	—
986	#529	—	79	4	no	—
987	#529	C₂×D₇₉	1	2	yes	complemented
988	#529	C₂×D₇₉	1	2	yes	complemented
989	#529	C₂×D₇₉	1	2	yes	complemented
990	#529	C₂×D₇₉	1	2	yes	complemented
991	#529	C₂×D₇₉	1	2	yes	complemented
992	#529	C₂×D₇₉	1	2	yes	complemented
993	#529	C₂×D₇₉	1	2	yes	complemented
994	#529	C₂×D₇₉	1	2	yes	complemented
995	C₂×#126	—	79	2	no	—
996	C₂×#126	C₂×D₇₉	1	2	yes	complemented
997	C₂×#125	—	79	1	no	—
998	C₂×#125	C₂×D₇₉	1	1	yes	characteristic, complemented
999	C₂×#124	—	79	1	no	—
1000	C₂×#124	—	79	2	no	—
1001	C₂×#124	C₂×D₇₉	1	1	yes	characteristic, complemented
1002	#525	—	79	4	no	—
1003	#525	—	79	8	no	—
1004	#525	—	79	4	no	—
1005	C₂×#123	—	79	2	no	—
1006	C₂×#123	—	79	8	no	—
1007	C₂×#123	C₂×D₇₉	1	2	yes	complemented
1008	C₂×C₂²⋊Q₈	—	79	1	no	—
1009	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
1010	C₂×#121	—	79	1	no	—
1011	C₂×#121	—	79	2	no	—
1012	C₂×#121	—	79	2	no	—
1013	C₂×#121	—	79	4	no	—
1014	C₂×#121	—	79	4	no	—
1015	C₂×#121	C₂×D₇₉	1	1	yes	characteristic
1016	#520	—	79	4	no	—
1017	#520	—	79	4	no	—
1018	#518	—	79	4	no	—
1019	#518	—	79	4	no	—
1020	#518	—	79	4	no	—
1021	C₂×C₄×Q₈	—	79	1	no	—
1022	C₂×C₄×Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
1023	C₂×C₄×D₄	—	79	2	no	—
1024	C₂×C₄×D₄	—	79	1	no	—
1025	C₂×C₄×D₄	—	79	2	no	—
1026	C₂×C₄×D₄	—	79	2	no	—
1027	C₂×C₄×D₄	C₂×D₇₉	1	2	yes	complemented
1028	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
1029	C₂×#117	—	79	2	no	—
1030	C₂×#117	C₂×D₇₉	1	2	yes	complemented
1031	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
1032	H(5,𝔽₂)	—	316	16	no	—
1033	C₂×#41	—	316	8	no	—
1034	C₂×#41	—	79	4	no	—
1035	C₂×#41	—	79	8	no	—
1036	C₂×#41	—	79	8	no	—
1037	C₂×#41	—	79	4	no	—
1038	C₂×#41	—	79	4	no	—
1039	C₂×#41	—	79	4	no	—
1040	C₂×#41	—	79	4	no	—
1041	C₂×#41	—	79	4	no	—
1042	C₂×#41	—	79	8	no	—
1043	C₂²×Q₈	—	79	1	no	—
1044	C₂²×Q₈	—	79	2	no	—
1045	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
1046	C₂²×D₄	—	79	8	no	—
1047	C₂²×D₄	—	79	4	no	—
1048	C₂²×D₄	—	79	8	no	—
1049	C₂²×D₄	—	79	8	no	—
1050	C₂²×D₄	—	79	2	no	—
1051	C₂²×D₄	—	79	4	no	—
1052	C₂²×D₄	—	79	1	no	—
1053	C₂²×D₄	—	79	2	no	—
1054	C₂²×D₄	—	79	2	no	—
1055	C₂²×D₄	—	79	4	no	—
1056	C₂²×D₄	—	79	2	no	—
1057	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
1058	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
1059	C₂³×C₄	—	79	2	no	—
1060	C₂³×C₄	—	79	4	no	—
1061	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1062	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
1063	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1064	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1065	C₄⋊Q₈	—	79	4	no	—
1066	C₄⋊Q₈	—	79	8	no	—
1067	C₄⋊Q₈	—	79	8	no	—
1068	C₄⋊Q₈	—	79	2	no	—
1069	C₄⋊Q₈	—	79	2	no	—
1070	C₄⋊Q₈	—	79	2	no	—
1071	C₄⋊Q₈	—	79	2	no	—
1072	C₄⋊Q₈	—	79	4	no	—
1073	#127	—	79	4	no	—
1074	#127	—	79	2	no	—
1075	#127	—	79	2	no	—
1076	#127	—	79	2	no	—
1077	#127	—	79	2	no	—
1078	#127	—	79	4	no	—
1079	#126	—	79	8	no	—
1080	#126	—	79	8	no	—
1081	#126	—	79	8	no	—
1082	#126	—	79	8	no	—
1083	#126	—	79	8	no	—
1084	#126	—	79	4	no	—
1085	#126	—	79	4	no	—
1086	#126	—	79	4	no	—
1087	#126	—	79	4	no	—
1088	#126	—	79	8	no	—
1089	#126	C₂²×D₇₉	1	4	yes	—
1090	#126	C₂²×D₇₉	1	4	yes	—
1091	#126	C₂²×D₇₉	1	4	yes	—
1092	#126	C₂²×D₇₉	1	4	yes	—
1093	#125	—	79	4	no	—
1094	#125	—	79	8	no	—
1095	#125	—	79	8	no	—
1096	#125	—	79	2	no	—
1097	#125	—	79	2	no	—
1098	#125	—	79	2	no	—
1099	#125	—	79	2	no	—
1100	#125	—	79	4	no	—
1101	#125	C₂²×D₇₉	1	2	yes	—
1102	#125	C₂²×D₇₉	1	2	yes	—
1103	#125	C₂²×D₇₉	1	2	yes	—
1104	#125	C₂²×D₇₉	1	2	yes	—
1105	#124	—	79	4	no	—
1106	#124	—	79	8	no	—
1107	#124	—	79	8	no	—
1108	#124	—	79	8	no	—
1109	#124	—	79	8	no	—
1110	#124	—	79	8	no	—
1111	#124	—	79	2	no	—
1112	#124	—	79	2	no	—
1113	#124	—	79	2	no	—
1114	#124	—	79	2	no	—
1115	#124	—	79	4	no	—
1116	#124	—	79	4	no	—
1117	#124	—	79	4	no	—
1118	#124	—	79	4	no	—
1119	#124	—	79	4	no	—
1120	#124	—	79	8	no	—
1121	#124	C₂²×D₇₉	1	2	yes	—
1122	#124	C₂²×D₇₉	1	2	yes	—
1123	#124	C₂²×D₇₉	1	2	yes	—
1124	#124	C₂²×D₇₉	1	2	yes	—
1125	#123	—	79	8	no	—
1126	#123	—	79	4	no	—
1127	#123	—	79	4	no	—
1128	#123	—	79	4	no	—
1129	#123	—	79	4	no	—
1130	#123	—	79	8	no	—
1131	#123	—	79	8	no	—
1132	#123	—	79	8	no	—
1133	#123	—	79	8	no	—
1134	#123	—	79	8	no	—
1135	#123	—	79	8	no	—
1136	#123	—	79	8	no	—
1137	#123	—	79	8	no	—
1138	#123	—	79	8	no	—
1139	#123	—	79	8	no	—
1140	#123	—	79	8	no	—
1141	#123	—	79	8	no	—
1142	#123	—	79	8	no	—
1143	#123	—	79	8	no	—
1144	#123	—	79	8	no	—
1145	#123	—	79	8	no	—
1146	#123	—	79	8	no	—
1147	#123	—	79	8	no	—
1148	#123	—	79	8	no	—
1149	#123	C₂²×D₇₉	1	4	yes	—
1150	#123	C₂²×D₇₉	1	4	yes	—
1151	#123	C₂²×D₇₉	1	4	yes	—
1152	#123	C₂²×D₇₉	1	4	yes	—
1153	C₂²⋊Q₈	—	79	4	no	—
1154	C₂²⋊Q₈	—	79	8	no	—
1155	C₂²⋊Q₈	—	79	2	no	—
1156	C₂²⋊Q₈	—	79	2	no	—
1157	C₂²⋊Q₈	—	79	2	no	—
1158	C₂²⋊Q₈	—	79	2	no	—
1159	C₂²⋊Q₈	—	79	4	no	—
1160	C₂²⋊Q₈	—	79	8	no	—
1161	C₂²⋊Q₈	—	79	8	no	—
1162	C₂²⋊Q₈	—	79	8	no	—
1163	C₂²⋊Q₈	—	79	8	no	—
1164	C₂²⋊Q₈	—	79	8	no	—
1165	C₂²⋊Q₈	—	79	8	no	—
1166	C₂²⋊Q₈	—	79	8	no	—
1167	C₂²⋊Q₈	—	79	8	no	—
1168	C₂²⋊Q₈	—	79	8	no	—
1169	C₂²⋊Q₈	—	79	8	no	—
1170	C₂²⋊Q₈	—	79	8	no	—
1171	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1172	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1173	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1174	C₂²⋊Q₈	C₂²×D₇₉	1	2	yes	—
1175	#121	—	79	8	no	—
1176	#121	—	79	4	no	—
1177	#121	—	79	8	no	—
1178	#121	—	79	8	no	—
1179	#121	—	79	2	no	—
1180	#121	—	79	4	no	—
1181	#121	—	79	4	no	—
1182	#121	—	79	2	no	—
1183	#121	—	79	2	no	—
1184	#121	—	79	2	no	—
1185	#121	—	79	4	no	—
1186	#121	—	79	4	no	—
1187	#121	—	79	4	no	—
1188	#121	—	79	4	no	—
1189	#121	—	79	4	no	—
1190	#121	—	79	4	no	—
1191	#121	—	79	8	no	—
1192	#121	—	79	8	no	—
1193	#121	—	79	4	no	—
1194	#121	—	79	4	no	—
1195	#121	—	79	4	no	—
1196	#121	—	79	8	no	—
1197	#121	—	79	4	no	—
1198	#121	—	79	4	no	—
1199	#121	—	79	8	no	—
1200	#121	—	79	8	no	—
1201	#121	—	79	8	no	—
1202	#121	—	79	8	no	—
1203	#121	—	79	8	no	—
1204	#121	—	79	8	no	—
1205	#121	—	79	8	no	—
1206	#121	—	79	8	no	—
1207	#121	—	79	8	no	—
1208	#121	—	79	8	no	—
1209	#121	—	79	8	no	—
1210	#121	—	79	8	no	—
1211	#121	C₂²×D₇₉	1	2	yes	—
1212	#121	C₂²×D₇₉	1	2	yes	—
1213	#121	C₂²×D₇₉	1	2	yes	—
1214	#121	C₂²×D₇₉	1	2	yes	—
1215	#120	—	79	8	no	—
1216	#120	—	79	8	no	—
1217	#120	—	79	8	no	—
1218	#120	—	79	8	no	—
1219	#120	—	79	8	no	—
1220	#120	—	79	8	no	—
1221	#120	—	79	8	no	—
1222	#120	—	79	8	no	—
1223	#120	—	79	8	no	—
1224	#120	—	79	8	no	—
1225	C₄×Q₈	—	79	4	no	—
1226	C₄×Q₈	—	79	2	no	—
1227	C₄×Q₈	—	79	2	no	—
1228	C₄×Q₈	—	79	2	no	—
1229	C₄×Q₈	—	79	2	no	—
1230	C₄×Q₈	—	79	4	no	—
1231	C₄×Q₈	C₂²×D₇₉	1	2	yes	—
1232	C₄×Q₈	C₂²×D₇₉	1	2	yes	—
1233	C₄×Q₈	C₂²×D₇₉	1	2	yes	—
1234	C₄×Q₈	C₂²×D₇₉	1	2	yes	—
1235	C₄×D₄	—	79	4	no	—
1236	C₄×D₄	—	79	4	no	—
1237	C₄×D₄	—	79	4	no	—
1238	C₄×D₄	—	79	4	no	—
1239	C₄×D₄	—	79	4	no	—
1240	C₄×D₄	—	79	8	no	—
1241	C₄×D₄	—	79	8	no	—
1242	C₄×D₄	—	79	8	no	—
1243	C₄×D₄	—	79	8	no	—
1244	C₄×D₄	—	79	8	no	—
1245	C₄×D₄	—	79	4	no	—
1246	C₄×D₄	—	79	8	no	—
1247	C₄×D₄	—	79	4	no	—
1248	C₄×D₄	—	79	8	no	—
1249	C₄×D₄	—	79	8	no	—
1250	C₄×D₄	—	79	8	no	—
1251	C₄×D₄	—	79	8	no	—
1252	C₄×D₄	—	79	8	no	—
1253	C₄×D₄	—	79	2	no	—
1254	C₄×D₄	—	79	4	no	—
1255	C₄×D₄	—	79	4	no	—
1256	C₄×D₄	—	79	2	no	—
1257	C₄×D₄	—	79	2	no	—
1258	C₄×D₄	—	79	2	no	—
1259	C₄×D₄	—	79	4	no	—
1260	C₄×D₄	—	79	4	no	—
1261	C₄×D₄	—	79	4	no	—
1262	C₄×D₄	—	79	4	no	—
1263	C₄×D₄	—	79	4	no	—
1264	C₄×D₄	—	79	4	no	—
1265	C₄×D₄	—	79	4	no	—
1266	C₄×D₄	—	79	4	no	—
1267	C₄×D₄	—	79	4	no	—
1268	C₄×D₄	—	79	8	no	—
1269	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1270	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1271	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1272	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1273	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1274	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1275	C₄×D₄	C₂²×D₇₉	1	2	yes	—
1276	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1277	#117	—	79	4	no	—
1278	#117	—	79	4	no	—
1279	#117	—	79	8	no	—
1280	#117	—	79	8	no	—
1281	#117	—	79	4	no	—
1282	#117	—	79	4	no	—
1283	#117	—	79	4	no	—
1284	#117	—	79	4	no	—
1285	#117	—	79	8	no	—
1286	#117	C₂²×D₇₉	1	4	yes	—
1287	#117	C₂²×D₇₉	1	4	yes	—
1288	#117	C₂²×D₇₉	1	4	yes	—
1289	#117	C₂²×D₇₉	1	4	yes	—
1290	C₂×C₄⋊C₄	—	79	2	no	—
1291	C₂×C₄⋊C₄	—	79	2	no	—
1292	C₂×C₄⋊C₄	—	79	2	no	—
1293	C₂×C₄⋊C₄	—	79	2	no	—
1294	C₂×C₄⋊C₄	—	79	1	no	—
1295	C₂×C₄⋊C₄	—	79	2	no	—
1296	C₂×C₄⋊C₄	—	79	1	no	—
1297	C₂×C₄⋊C₄	—	79	2	no	—
1298	C₂×C₄⋊C₄	—	79	4	no	—
1299	C₂×C₄⋊C₄	—	79	4	no	—
1300	C₂×C₄⋊C₄	—	79	8	no	—
1301	C₂×C₄⋊C₄	—	79	8	no	—
1302	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1303	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1304	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1305	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1306	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
1308	C₂×C₂²⋊C₄	—	79	2	no	—
1309	C₂×C₂²⋊C₄	—	79	2	no	—
1310	C₂×C₂²⋊C₄	—	79	2	no	—
1311	C₂×C₂²⋊C₄	—	79	4	no	—
1312	C₂×C₂²⋊C₄	—	79	4	no	—
1313	C₂×C₂²⋊C₄	—	79	2	no	—
1314	C₂×C₂²⋊C₄	—	79	2	no	—
1315	C₂×C₂²⋊C₄	—	79	8	no	—
1316	C₂×C₂²⋊C₄	—	79	8	no	—
1317	C₂×C₂²⋊C₄	—	79	8	no	—
1318	C₂×C₂²⋊C₄	—	79	8	no	—
1319	C₂×C₂²⋊C₄	—	79	8	no	—
1320	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1321	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1322	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1323	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1324	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1325	C₂×C₄²	—	79	2	no	—
1326	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1327	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1328	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
1329	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1330	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1331	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1332	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1333	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1334	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1335	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1336	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1337	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1338	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1339	C₂⁴	—	79	8	no	—
1340	C₂⁴	—	79	2	no	—
1341	C₂⁴	—	79	4	no	—
1342	C₂⁴	C₂³×D₇₉	1	2	yes	—
1343	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1344	#41	—	316	8	no	—
1345	#41	—	316	8	no	—
1346	#41	—	316	8	no	—
1347	#41	—	316	8	no	—
1348	#41	—	316	8	no	—
1349	#41	—	316	16	no	—
1350	#41	—	316	16	no	—
1351	#41	—	316	16	no	—
1352	#41	—	316	8	no	—
1353	C₂×Q₈	—	4	2	no	—
1354	C₂×Q₈	—	316	2	no	—
1355	C₂×Q₈	—	316	4	no	—
1356	C₂×Q₈	—	79	2	no	—
1357	C₂×Q₈	—	79	8	no	—
1358	C₂×Q₈	—	79	4	no	—
1359	C₂×Q₈	—	79	4	no	—
1360	C₂×Q₈	—	79	2	no	—
1361	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1362	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1363	C₂×D₄	—	2	8	no	—
1364	C₂×D₄	—	4	2	no	—
1365	C₂×D₄	—	316	4	no	—
1366	C₂×D₄	—	316	4	no	—
1367	C₂×D₄	—	316	4	no	—
1368	C₂×D₄	—	316	2	no	—
1369	C₂×D₄	—	316	8	no	—
1370	C₂×D₄	—	316	16	no	—
1371	C₂×D₄	—	316	16	no	—
1372	C₂×D₄	—	316	16	no	—
1373	C₂×D₄	—	316	8	no	—
1374	C₂×D₄	—	79	8	no	—
1375	C₂×D₄	—	79	8	no	—
1376	C₂×D₄	—	79	8	no	—
1377	C₂×D₄	—	79	8	no	—
1378	C₂×D₄	—	79	4	no	—
1379	C₂×D₄	—	79	8	no	—
1380	C₂×D₄	—	79	8	no	—
1381	C₂×D₄	—	79	4	no	—
1382	C₂×D₄	—	79	8	no	—
1383	C₂×D₄	—	79	2	no	—
1384	C₂×D₄	—	79	8	no	—
1385	C₂×D₄	—	79	4	no	—
1386	C₂×D₄	—	79	4	no	—
1387	C₂×D₄	—	79	4	no	—
1388	C₂×D₄	—	79	4	no	—
1389	C₂×D₄	—	79	8	no	—
1390	C₂×D₄	—	79	2	no	—
1391	C₂×D₄	—	79	4	no	—
1392	C₂×D₄	—	79	4	no	—
1393	C₂×D₄	—	158	16	no	—
1394	C₂×D₄	—	158	8	no	—
1395	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1396	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1397	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1398	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1399	C₂²×C₄	—	2	4	no	—
1400	C₂²×C₄	—	4	2	no	—
1401	C₂²×C₄	—	4	4	no	—
1402	C₂²×C₄	—	4	2	no	—
1403	C₂²×C₄	—	316	8	no	—
1404	C₂²×C₄	—	316	4	no	—
1405	C₂²×C₄	—	79	2	no	—
1406	C₂²×C₄	—	79	2	no	—
1407	C₂²×C₄	—	79	8	no	—
1408	C₂²×C₄	—	79	8	no	—
1409	C₂²×C₄	—	79	8	no	—
1410	C₂²×C₄	—	79	4	no	—
1411	C₂²×C₄	—	79	8	no	—
1412	C₂²×C₄	—	79	8	no	—
1413	C₂²×C₄	—	79	8	no	—
1414	C₂²×C₄	—	79	8	no	—
1415	C₂²×C₄	—	79	2	no	—
1416	C₂²×C₄	—	79	4	no	—
1417	C₂²×C₄	—	79	4	no	—
1418	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1420	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1421	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1422	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1430	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1431	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1432	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1433	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1434	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1435	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1436	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1437	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1438	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1439	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1440	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1441	C₄⋊C₄	—	79	4	no	—
1442	C₄⋊C₄	—	79	4	no	—
1443	C₄⋊C₄	—	79	8	no	—
1444	C₄⋊C₄	—	79	4	no	—
1445	C₄⋊C₄	—	79	4	no	—
1446	C₄⋊C₄	—	79	4	no	—
1447	C₄⋊C₄	—	79	4	no	—
1448	C₄⋊C₄	—	79	4	no	—
1449	C₄⋊C₄	—	79	8	no	—
1450	C₄⋊C₄	—	79	4	no	—
1451	C₄⋊C₄	—	79	8	no	—
1452	C₄⋊C₄	—	79	8	no	—
1453	C₄⋊C₄	—	79	2	no	—
1454	C₄⋊C₄	—	79	4	no	—
1455	C₄⋊C₄	—	79	4	no	—
1456	C₄⋊C₄	—	79	8	no	—
1457	C₄⋊C₄	—	79	2	no	—
1458	C₄⋊C₄	—	79	4	no	—
1459	C₄⋊C₄	—	79	4	no	—
1460	C₄⋊C₄	—	79	2	no	—
1461	C₄⋊C₄	—	79	8	no	—
1462	C₄⋊C₄	—	79	2	no	—
1463	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1464	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1465	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1466	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1467	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1468	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1469	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1470	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1471	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1472	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1473	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1474	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1475	C₂²⋊C₄	—	79	4	no	—
1476	C₂²⋊C₄	—	79	8	no	—
1477	C₂²⋊C₄	—	79	4	no	—
1478	C₂²⋊C₄	—	79	8	no	—
1479	C₂²⋊C₄	—	79	4	no	—
1480	C₂²⋊C₄	—	79	4	no	—
1481	C₂²⋊C₄	—	79	4	no	—
1482	C₂²⋊C₄	—	79	8	no	—
1483	C₂²⋊C₄	—	79	8	no	—
1484	C₂²⋊C₄	—	79	8	no	—
1485	C₂²⋊C₄	—	79	4	no	—
1486	C₂²⋊C₄	—	79	4	no	—
1487	C₂²⋊C₄	—	79	4	no	—
1488	C₂²⋊C₄	—	79	4	no	—
1489	C₂²⋊C₄	—	79	8	no	—
1490	C₂²⋊C₄	—	79	4	no	—
1491	C₂²⋊C₄	—	79	8	no	—
1492	C₂²⋊C₄	—	79	8	no	—
1493	C₂²⋊C₄	—	79	8	no	—
1494	C₂²⋊C₄	—	79	8	no	—
1495	C₂²⋊C₄	—	79	8	no	—
1496	C₂²⋊C₄	—	79	8	no	—
1497	C₂²⋊C₄	—	79	8	no	—
1498	C₂²⋊C₄	—	79	8	no	—
1499	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1500	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1501	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1502	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1503	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1504	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1505	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1506	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1507	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1508	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1509	C₄²	—	79	4	no	—
1510	C₄²	—	79	4	no	—
1511	C₄²	—	79	8	no	—
1512	C₄²	—	79	8	no	—
1513	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1514	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1515	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1516	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1517	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1518	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1519	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1520	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1521	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1522	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1523	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1524	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1525	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1526	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1527	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1528	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1529	C₄²	C₂³×D₇₉	1	4	yes	—
1530	C₄²	C₂³×D₇₉	1	4	yes	—
1531	C₂³	—	2	4	no	—
1532	C₂³	—	4	1	no	—
1533	C₂³	—	4	1	no	—
1534	C₂³	—	4	2	no	—
1535	C₂³	—	4	2	no	—
1536	C₂³	—	316	2	no	—
1537	C₂³	—	316	2	no	—
1538	C₂³	—	316	4	no	—
1539	C₂³	—	316	4	no	—
1540	C₂³	—	316	8	no	—
1541	C₂³	—	316	8	no	—
1542	C₂³	—	316	8	no	—
1543	C₂³	—	79	4	no	—
1544	C₂³	—	79	8	no	—
1545	C₂³	—	158	8	no	—
1546	C₂³	—	158	4	no	—
1547	C₂³	#14579207	1	4	yes	—
1548	C₂³	C₂⁴×D₇₉	1	4	yes	—
1549	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1550	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1551	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1552	Q₈	—	2	4	no	—
1553	Q₈	—	4	2	no	—
1554	Q₈	—	316	4	no	—
1555	Q₈	—	316	4	no	—
1556	Q₈	—	316	2	no	—
1557	Q₈	—	316	8	no	—
1558	Q₈	—	158	4	no	—
1559	D₄	—	2	8	no	—
1560	D₄	—	2	8	no	—
1561	D₄	—	2	4	no	—
1562	D₄	—	4	2	no	—
1563	D₄	—	316	8	no	—
1564	D₄	—	316	4	no	—
1565	D₄	—	316	4	no	—
1566	D₄	—	316	8	no	—
1567	D₄	—	316	4	no	—
1568	D₄	—	316	4	no	—
1569	D₄	—	316	2	no	—
1570	D₄	—	316	8	no	—
1571	D₄	—	316	8	no	—
1572	D₄	—	316	8	no	—
1573	D₄	—	316	8	no	—
1574	D₄	—	316	8	no	—
1575	D₄	—	158	8	no	—
1576	D₄	—	158	8	no	—
1577	D₄	—	158	16	no	—
1578	D₄	—	158	16	no	—
1579	D₄	—	158	4	no	—
1580	D₄	—	158	8	no	—
1581	D₄	—	158	8	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	2	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	4	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	8	no	—
1596	C₂×C₄	—	4	4	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	2	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	316	8	no	—
1606	C₂×C₄	—	316	8	no	—
1607	C₂×C₄	—	316	4	no	—
1608	C₂×C₄	—	316	8	no	—
1609	C₂×C₄	—	316	8	no	—
1610	C₂×C₄	—	316	8	no	—
1611	C₂×C₄	—	316	8	no	—
1612	C₂×C₄	—	316	2	no	—
1613	C₂×C₄	—	316	8	no	—
1614	C₂×C₄	—	316	2	no	—
1615	C₂×C₄	—	79	4	no	—
1616	C₂×C₄	—	79	4	no	—
1617	C₂×C₄	—	79	8	no	—
1618	C₂×C₄	—	79	4	no	—
1619	C₂×C₄	—	158	8	no	—
1620	C₂×C₄	—	158	4	no	—
1621	C₂×C₄	—	158	8	no	—
1622	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1623	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1624	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1625	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1629	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1630	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1631	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1632	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1633	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1634	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1635	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1636	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	4	no	—
1645	C₂²	—	2	4	no	—
1646	C₂²	—	4	4	no	—
1647	C₂²	—	8	4	no	—
1648	C₂²	—	632	8	no	—
1649	C₂²	—	632	4	no	—
1650	C₂²	—	158	8	no	—
1651	C₂²	—	158	4	no	—
1652	C₂²	—	158	4	no	—
1653	C₂²	—	158	8	no	—
1654	C₂²	—	158	8	no	—
1655	C₂²	—	158	4	no	—
1656	C₂²	—	1264	8	no	—
1657	C₂²	C₂×#14579207	1	2	yes	—
1658	C₂²	C₂×#14579207	1	2	yes	—
1659	C₂²	C₂×#14579207	1	2	yes	—
1660	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	4	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	4	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	4	no	—
1674	C₄	—	158	4	no	—
1675	C₄	—	158	8	no	—
1676	C₄	—	158	4	no	—
1677	C₄	—	158	4	no	—
1678	C₄	#19099399	1	2	yes	—
1679	C₄	#19099399	1	2	yes	—
1680	C₂	—	2	2	no	—
1681	C₂	—	2	2	no	—
1682	C₂	—	2	2	no	—
1683	C₂	—	4	4	no	—
1684	C₂	—	316	4	no	—
1685	C₂	—	316	8	no	—
1686	C₂	C₂²×#14579207	1	1	yes	characteristic
1687	C₂	C₂×#19099399	1	1	yes	characteristic
1688	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₂×#529×C₇₉	C₂
hypercenter	C₂×#529	D₇₉
hypocenter	C₇₉	#62822
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #23777952	C₂	semidirect
2. #23777946	C₂	semidirect
3. #23777934	C₂	semidirect
4. #23777931	C₂	semidirect
5. #23777919	C₂	semidirect
6. #23777916	C₂	semidirect
7. #23777752	C₂	semidirect
8. #23777740	C₂	semidirect
9. #23777730	C₂	semidirect
10. #23777485	C₂	semidirect
11. #23777483	C₂	semidirect
12. #23777434	C₂	semidirect
13. #23777432	C₂	semidirect
14. #23777344	C₂	semidirect
15. #23777334	C₂	semidirect
16. #23777241	C₂	semidirect
17. #23777239	C₂	semidirect
18. #23777164	C₂	semidirect
19. #23777157	C₂	semidirect
20. #23777135	C₂	semidirect
21. #23777123	C₂	semidirect
22. #23777038	C₂	semidirect
23. C₂×#19099113	C₂	semidirect
24. C₂×#19099097	C₂	semidirect
25. C₂×#529×C₇₉	C₂	semidirect
26. C₂×#14579206	C₂²	semidirect
27. C₂²×#11929624	C₂²	semidirect
28. #19099317	C₂²	semidirect
29. #19099315	C₂²	semidirect
30. #19099311	C₂²	semidirect
31. #19099307	C₂²	semidirect
32. #19099305	C₂²	semidirect
33. #19099304	C₂²	semidirect
34. #19099298	C₂²	semidirect
35. #19099298	C₂²	semidirect
36. #19099295	C₂²	semidirect
37. Q₈×Dic₁₅₈	C₂²	semidirect
38. #19099278	C₂²	semidirect
39. #19099276	C₂²	semidirect
40. #19099273	C₂²	semidirect
41. #19099273	C₂²	semidirect
42. #19099270	C₂²	semidirect
43. #19099269	C₂²	semidirect
44. #19099266	C₂²	semidirect
45. #19099264	C₂²	semidirect
46. #19099262	C₂²	semidirect
47. #19099261	C₂²	semidirect
48. #19099261	C₂²	semidirect
49. #19099259	C₂²	semidirect
50. #19099259	C₂²	semidirect
51. #19099257	C₂²	semidirect
52. #19099255	C₂²	semidirect
53. #19099253	C₂²	semidirect
54. #19099242	C₂²	semidirect
55. #19099240	C₂²	semidirect
56. #19099238	C₂²	semidirect
57. #19099237	C₂²	semidirect
58. #19099237	C₂²	semidirect
59. #19099235	C₂²	semidirect
60. #19099234	C₂²	semidirect
61. #19099224	C₂²	semidirect
62. #19099222	C₂²	semidirect
63. #19099217	C₂²	semidirect
64. #19099217	C₂²	semidirect
65. #19099214	C₂²	semidirect
66. #19099214	C₂²	semidirect
67. #19099214	C₂²	semidirect
68. #19099213	C₂²	semidirect
69. #19099211	C₂²	semidirect
70. #19099211	C₂²	semidirect
71. #19099209	C₂²	semidirect
72. #19099209	C₂²	semidirect
73. #19099208	C₂²	semidirect
74. #19099208	C₂²	semidirect
75. #19099206	C₂²	semidirect
76. #19099205	C₂²	semidirect
77. #19099205	C₂²	semidirect
78. #19099204	C₂²	semidirect
79. #19099203	C₂²	semidirect
80. #19099203	C₂²	semidirect
81. #19099203	C₂²	semidirect
82. #19099202	C₂²	semidirect
83. D₄×D₃₁₆	C₂²	semidirect
84. D₄×D₃₁₆	C₂²	semidirect
85. D₄×D₃₁₆	C₂²	semidirect
86. #19099197	C₂²	semidirect
87. D₄×C₂²⋊D₇₉	C₂²	semidirect
88. #19099193	C₂²	semidirect
89. #19099191	C₂²	semidirect
90. #19099185	C₂²	semidirect
91. #19099185	C₂²	semidirect
92. #19099184	C₂²	semidirect
93. #19099184	C₂²	semidirect
94. #19099182	C₂²	semidirect
95. #19099179	C₂²	semidirect
96. #19099169	C₂²	semidirect
97. #19099168	C₂²	semidirect
98. #19099168	C₂²	semidirect
99. #19099164	C₂²	semidirect
100. #19099162	C₂²	semidirect
101. #19099161	C₂²	semidirect
102. #19099160	C₂²	semidirect
103. #19099154	C₂²	semidirect
104. #19099153	C₂²	semidirect
105. #19099152	C₂²	semidirect
106. #19099152	C₂²	semidirect
107. #19099151	C₂²	semidirect
108. #19099147	C₂²	semidirect
109. #19099146	C₂²	semidirect
110. #19099144	C₂²	semidirect
111. #19099140	C₂²	semidirect
112. #19099135	C₂²	semidirect
113. #19099132	C₂²	semidirect
114. #19099131	C₂²	semidirect
115. #19099125	C₂²	semidirect
116. #19099125	C₂²	semidirect
117. #19099124	C₂²	semidirect
118. #19099122	C₂²	semidirect
119. #19099121	C₂²	semidirect
120. #19099113	C₂²	semidirect
121. #19099113	C₂²	semidirect
122. #19099113	C₂²	semidirect
123. #19099113	C₂²	semidirect
124. #19099113	C₂²	semidirect
125. #19099113	C₂²	semidirect
126. #19099113	C₂²	semidirect
127. #19099113	C₂²	semidirect
128. #19099113	C₂²	semidirect
129. #19099108	C₂²	semidirect
130. C₂×#14579161	C₂²	semidirect
131. C₂×#14579158	C₂²	semidirect
132. #19099099	C₂²	semidirect
133. #19099097	C₂²	semidirect
134. #19099097	C₂²	semidirect
135. #19099097	C₂²	semidirect
136. #19099097	C₂²	semidirect
137. #19099097	C₂²	semidirect
138. #19099097	C₂²	semidirect
139. #19099097	C₂²	semidirect
140. #19099097	C₂²	semidirect
141. #19099097	C₂²	semidirect
142. C₂×#14579155	C₂²	semidirect
143. C₂×#14579153	C₂²	semidirect
144. C₂×#14579149	C₂²	semidirect
145. C₂×#14579149	C₂²	semidirect
146. #19099076	C₂²	semidirect
147. #19099074	C₂²	semidirect
148. #19099071	C₂²	semidirect
149. C₂×#14579144	C₂²	semidirect
150. #123×D₇₉	C₂²	semidirect
151. C₂×#14579140	C₂²	semidirect
153. C₂×#14579135	C₂²	semidirect
154. C₂×#14579135	C₂²	semidirect
155. C₂×#14579135	C₂²	semidirect
156. #121×D₇₉	C₂²	semidirect
157. #19099045	C₂²	semidirect
158. #19099043	C₂²	semidirect
159. #19099037	C₂²	semidirect
160. #19099036	C₂²	semidirect
161. #19099035	C₂²	semidirect
162. C₂×C₄×Dic₁₅₈	C₂²	semidirect
163. C₂×C₄×D₃₁₆	C₂²	semidirect
164. C₂×C₄×D₃₁₆	C₂²	semidirect
165. C₂×C₄×D₃₁₆	C₂²	semidirect
166. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
167. C₂×#14579118	C₂²	semidirect
168. #529×C₇₉	C₂²	semidirect
169. #529×C₇₉	C₂²	semidirect
170. #529×C₇₉	C₂²	semidirect
171. #529×C₇₉	C₂²	semidirect
172. #529×C₇₉	C₂²	semidirect
173. #529×C₇₉	C₂²	semidirect
174. #529×C₇₉	C₂²	semidirect
175. #529×C₇₉	C₂²	semidirect
176. C₂×#126×C₇₉	C₂²	semidirect
177. C₂×#125×C₇₉	C₂²	semidirect
178. C₂×#124×C₇₉	C₂²	semidirect
179. C₂×#123×C₇₉	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
182. C₂×C₄×Q₈×C₇₉	C₂²	semidirect
183. C₂×C₄×D₄×C₇₉	C₂²	semidirect
184. C₂×C₄×D₄×C₇₉	C₂²	semidirect
185. C₂×#117×C₇₉	C₂²	semidirect
186. C₂²×C₄²×C₇₉	C₂²	semidirect
869. C₂×#529	D₇₉	semidirect
870. C₇₉	#62822	semidirect
987. #529	C₂×D₇₉	semidirect
988. #529	C₂×D₇₉	semidirect
989. #529	C₂×D₇₉	semidirect
990. #529	C₂×D₇₉	semidirect
991. #529	C₂×D₇₉	semidirect
992. #529	C₂×D₇₉	semidirect
993. #529	C₂×D₇₉	semidirect
994. #529	C₂×D₇₉	semidirect
996. C₂×#126	C₂×D₇₉	semidirect
998. C₂×#125	C₂×D₇₉	semidirect
1001. C₂×#124	C₂×D₇₉	semidirect
1007. C₂×#123	C₂×D₇₉	semidirect
1009. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
1022. C₂×C₄×Q₈	C₂×D₇₉	semidirect
1027. C₂×C₄×D₄	C₂×D₇₉	semidirect
1028. C₂×C₄×D₄	C₂×D₇₉	semidirect
1030. C₂×#117	C₂×D₇₉	semidirect
1031. C₂²×C₄²	C₂×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777952	2
#23777946	2
#23777934	2
#23777931	2
#23777919	2
#23777916	2
#23777752	2
#23777740	2
#23777730	2
#23777485	2
#23777483	2
#23777434	2
#23777432	2
#23777344	2
#23777334	2
#23777241	2
#23777239	2
#23777164	2
#23777157	2
#23777135	2
#23777123	2
#23777038	2
C₂×#19099113	2
C₂×#19099097	2
C₂×#529×C₇₉	2
#62822	79