Subgroups — #35152193

Order 20224.

2862 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099329	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×M₁₆×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099072	C₂	1	1	yes	maximal, characteristic
4	M₁₆×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×#11929608	C₂	1	1	yes	maximal, characteristic, complemented
6	#23772135	C₂	1	1	yes	maximal, characteristic, complemented
7	M₁₆×C₂²⋊D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
8	M₁₆×C₂²⋊D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#23772132	C₂	1	1	yes	maximal, characteristic, complemented
10	#23772132	C₂	1	1	yes	maximal, characteristic, complemented
11	#23772129	C₂	1	2	yes	maximal, complemented
12	#23772126	C₂	1	2	yes	maximal, complemented
13	#23772123	C₂	1	2	yes	maximal, complemented
14	#23772120	C₂	1	2	yes	maximal, complemented
15	#23772100	C₂	1	2	yes	maximal, complemented
16	#23772098	C₂	1	2	yes	maximal, complemented
17	#23772091	C₂	1	2	yes	maximal, complemented
18	#23772089	C₂	1	2	yes	maximal, complemented
19	#23771962	C₂	1	1	yes	maximal, characteristic, complemented
20	#23771843	C₂	1	1	yes	maximal, characteristic, complemented
21	#407×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#23771817	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×M₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11929624	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
26	#19099329	—	2	8	no	—
27	C₂×#14579169	C₂²	1	2	yes	complemented
28	C₂×#14579169	C₂²	1	2	yes	complemented
29	C₂×#14579167	C₂²	1	2	yes	complemented
30	C₂×#14579167	C₂²	1	2	yes	complemented
31	C₂²×#11929608	C₂²	1	1	yes	characteristic
32	C₂²×#11929608	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#11929607	C₂²	1	2	yes	complemented
34	C₂×M₁₆×D₇₉	—	2	8	no	—
35	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
37	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
38	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
39	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
40	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₇₉	C₂²	1	2	yes	complemented
42	C₂×M₁₆×D₇₉	C₂²	1	2	yes	complemented
43	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₈×D₇₉	C₂²	1	2	yes	complemented
46	#19099072	C₄	1	1	yes	characteristic
47	#19099072	C₄	1	1	yes	characteristic
48	#19099072	C₄	1	1	yes	characteristic
49	#19099072	C₄	1	1	yes	characteristic
50	#19099072	C₄	1	1	yes	characteristic
51	#19099072	C₄	1	1	yes	characteristic
52	#19099072	C₄	1	1	yes	characteristic
53	#19099072	C₄	1	1	yes	characteristic
54	#19099072	C₂²	1	1	yes	characteristic
55	#19099072	C₂²	1	1	yes	characteristic
56	#19099072	C₂²	1	1	yes	characteristic
57	#19099072	C₂²	1	1	yes	characteristic
58	#19099072	C₂²	1	1	yes	characteristic
59	#19099072	C₂²	1	1	yes	characteristic
60	#19099072	C₂²	1	1	yes	characteristic
61	#19099072	C₂²	1	1	yes	characteristic
62	C₂×#14579146	C₄	1	1	yes	characteristic
63	C₂×#14579143	C₄	1	1	yes	characteristic
64	C₂×#14579139	C₄	1	1	yes	characteristic
65	C₂×#14579138	C₄	1	1	yes	characteristic
66	C₂×#14579134	C₄	1	1	yes	characteristic
67	C₂×#14579133	C₄	1	1	yes	characteristic
68	C₂×#14579131	C₄	1	1	yes	characteristic
69	C₂×#14579129	C₄	1	1	yes	characteristic
70	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
71	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
72	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
73	C₂×#14579118	C₂²	1	1	yes	characteristic
74	#19098642	C₂²	1	2	yes	complemented
75	#19098641	C₂²	1	2	yes	complemented
76	#19098640	C₂²	1	2	yes	complemented
77	#19098639	C₂²	1	2	yes	complemented
78	#19098639	C₂²	1	2	yes	complemented
79	#19098638	C₂²	1	2	yes	complemented
80	#19098638	C₂²	1	2	yes	complemented
81	#19098637	C₂²	1	2	yes	complemented
82	#19098637	C₂²	1	2	yes	complemented
83	#19098636	C₂²	1	2	yes	complemented
84	#19098636	C₂²	1	2	yes	complemented
85	#19098635	C₂²	1	2	yes	complemented
86	#19098635	C₂²	1	2	yes	complemented
87	#19098634	C₂²	1	2	yes	complemented
88	#19098634	C₂²	1	2	yes	complemented
89	#19098633	C₂²	1	2	yes	complemented
90	#19098633	C₂²	1	2	yes	complemented
91	#19098632	C₂²	1	2	yes	complemented
92	#19098632	C₂²	1	2	yes	complemented
93	#19098631	C₂²	1	2	yes	complemented
94	#19098631	C₂²	1	2	yes	complemented
95	C₈×D₃₁₆	C₂²	1	2	yes	complemented
96	D₄×C₇₉⋊C₈	C₂²	1	2	yes	complemented
97	#19098628	C₂²	1	2	yes	complemented
98	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
99	C₈×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
100	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
101	(C₂²⋊D₇₉)⋊C₈	C₂²	1	2	yes	complemented
102	#19098588	C₂²	1	2	yes	complemented
103	#19098588	C₂²	1	2	yes	complemented
104	#19098588	C₂²	1	2	yes	complemented
105	#19098588	C₂²	1	2	yes	complemented
106	#19098587	C₂²	1	1	yes	characteristic, complemented
107	#19098586	C₂²	1	1	yes	characteristic, complemented
108	#19098586	C₂²	1	1	yes	characteristic, complemented
109	#19098528	C₂²	1	2	yes	complemented
110	#19098528	C₂²	1	2	yes	complemented
111	#19098528	C₂²	1	2	yes	complemented
112	#19098528	C₂²	1	2	yes	complemented
113	#19098527	C₂²	1	1	yes	characteristic
114	#19098527	C₂²	1	1	yes	characteristic, complemented
115	#19098526	C₂²	1	1	yes	characteristic
116	#19098526	C₂²	1	1	yes	characteristic
117	#19098526	C₂²	1	1	yes	characteristic, complemented
118	#19098526	C₂²	1	1	yes	characteristic, complemented
119	#19098525	C₂²	1	2	yes	complemented
120	#19098525	C₂²	1	2	yes	complemented
121	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	complemented
122	C₂²⋊C₈×D₇₉	C₂²	1	2	yes	complemented
123	#19098520	C₂²	1	2	yes	complemented
124	#19098520	C₂²	1	2	yes	complemented
125	#19098517	C₂²	1	2	yes	complemented
126	#19098517	C₂²	1	2	yes	complemented
127	C₄×#11929608	C₂²	1	1	yes	characteristic, complemented
128	M₁₆×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
129	M₁₆×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
130	C₂²×M₁₆×C₇₉	C₂²	1	1	yes	characteristic
131	C₂²×M₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
133	#436×C₇₉	C₂²	1	2	yes	complemented
134	#435×C₇₉	C₂²	1	2	yes	complemented
135	#435×C₇₉	C₂²	1	2	yes	complemented
136	C₈×D₄×C₇₉	C₂²	1	2	yes	complemented
137	#423×C₇₉	C₂²	1	1	yes	characteristic, complemented
138	#407×C₇₉	C₂²	1	1	yes	characteristic
139	#407×C₇₉	C₂²	1	1	yes	characteristic, complemented
140	C₄×M₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂⁴×D₇₉	C₂×C₄	1	1	yes	characteristic
142	C₂×#11929624	—	2	4	no	—
143	C₂×#11929624	—	2	4	no	—
144	C₂×#11929624	C₂×C₄	1	1	yes	characteristic
145	C₂×#11929624	C₂×C₄	1	1	yes	characteristic
146	C₂×#11929624	C₂×C₄	1	1	yes	characteristic
147	C₂×#11929624	C₂×C₄	1	1	yes	characteristic
148	C₂×#11929624	C₂³	1	1	yes	characteristic
149	C₂×#11929624	C₂³	1	1	yes	characteristic
150	C₂×#11929624	C₂³	1	1	yes	characteristic
151	C₂×#11929624	C₂³	1	1	yes	characteristic
152	C₂²×Dic₁₅₈	C₂×C₄	1	1	yes	characteristic
153	C₂²×D₃₁₆	C₂×C₄	1	1	yes	characteristic
154	C₂²×D₃₁₆	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
156	C₂²×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
157	C₂²×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
159	C₂³×Dic₇₉	C₂×C₄	1	1	yes	characteristic
160	C₂²×C₄×D₇₉	—	2	4	no	—
161	C₂²×C₄×D₇₉	—	2	4	no	—
162	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
167	C₂²×C₄×D₇₉	C₂×C₄	1	1	yes	characteristic
168	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
175	#14579169	—	2	8	no	—
176	#14579169	—	2	8	no	—
177	#14579167	—	2	8	no	—
178	#14579167	—	2	8	no	—
179	C₂×#11929608	—	2	4	no	—
180	C₂×#11929608	—	2	4	no	—
181	C₂×#11929608	C₂³	1	2	yes	—
182	C₂×#11929608	C₂³	1	1	yes	characteristic
183	C₂×#11929608	C₂³	1	1	yes	characteristic
184	C₂×#11929608	C₂³	1	1	yes	characteristic
185	C₂×#11929608	C₂³	1	1	yes	characteristic
186	C₂×#11929608	C₂³	1	2	yes	complemented
187	C₂×#11929607	—	2	8	no	—
188	C₂×#11929607	C₂³	1	2	yes	—
189	C₂×#11929607	C₂³	1	2	yes	—
190	C₂×#11929607	C₂³	1	2	yes	—
191	C₂×#11929607	C₂³	1	2	yes	—
192	C₂×#11929607	C₂³	1	2	yes	—
193	C₂×#11929607	C₂³	1	2	yes	—
194	C₂×#11929607	C₂³	1	2	yes	complemented
195	C₂×#11929607	C₂³	1	2	yes	complemented
196	M₁₆×D₇₉	—	2	4	no	—
197	M₁₆×D₇₉	—	2	4	no	—
198	M₁₆×D₇₉	—	2	4	no	—
199	M₁₆×D₇₉	—	2	4	no	—
200	M₁₆×D₇₉	—	2	4	no	—
201	M₁₆×D₇₉	—	2	4	no	—
202	M₁₆×D₇₉	—	2	4	no	—
203	M₁₆×D₇₉	—	2	8	no	—
204	M₁₆×D₇₉	—	2	8	no	—
205	M₁₆×D₇₉	D₄	1	8	yes	complemented
206	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	—
207	C₂²×C₇₉⋊C₈	C₂³	1	2	yes	complemented
208	C₂×C₈×D₇₉	—	2	8	no	—
209	C₂×C₈×D₇₉	C₂³	1	2	yes	—
210	C₂×C₈×D₇₉	C₂³	1	2	yes	—
211	C₂×C₈×D₇₉	C₂³	1	2	yes	—
212	C₂×C₈×D₇₉	C₂³	1	2	yes	—
213	C₂×C₈×D₇₉	C₂³	1	2	yes	—
214	C₂×C₈×D₇₉	C₂³	1	2	yes	—
215	C₂×C₈×D₇₉	C₂³	1	2	yes	complemented
216	C₂×C₈×D₇₉	C₂³	1	2	yes	complemented
217	#14579146	C₂×C₄	1	1	yes	characteristic
218	#14579146	C₂×C₄	1	1	yes	characteristic
219	#14579146	C₂×C₄	1	1	yes	characteristic
220	#14579146	C₂×C₄	1	1	yes	characteristic
221	#14579146	C₂×C₄	1	1	yes	characteristic
222	#14579146	C₂×C₄	1	1	yes	characteristic
223	#14579146	C₂×C₄	1	1	yes	characteristic
224	#14579146	C₂×C₄	1	1	yes	characteristic
225	#14579143	C₂×C₄	1	1	yes	characteristic
226	#14579143	C₂×C₄	1	1	yes	characteristic
227	#14579143	C₂×C₄	1	1	yes	characteristic
228	#14579143	C₂×C₄	1	1	yes	characteristic
229	#14579143	C₂×C₄	1	1	yes	characteristic
230	#14579143	C₂×C₄	1	1	yes	characteristic
231	#14579143	C₂×C₄	1	1	yes	characteristic
232	#14579143	C₂×C₄	1	1	yes	characteristic
233	#14579139	C₂×C₄	1	1	yes	characteristic
234	#14579139	C₂×C₄	1	1	yes	characteristic
235	#14579139	C₂×C₄	1	1	yes	characteristic
236	#14579139	C₂×C₄	1	1	yes	characteristic
237	#14579139	C₂×C₄	1	1	yes	characteristic
238	#14579139	C₂×C₄	1	1	yes	characteristic
239	#14579139	C₂×C₄	1	1	yes	characteristic
240	#14579139	C₂×C₄	1	1	yes	characteristic
241	#14579138	C₂×C₄	1	1	yes	characteristic
242	#14579138	C₂×C₄	1	1	yes	characteristic
243	#14579138	C₂×C₄	1	1	yes	characteristic
244	#14579138	C₂×C₄	1	1	yes	characteristic
245	#14579138	C₂×C₄	1	1	yes	characteristic
246	#14579138	C₂×C₄	1	1	yes	characteristic
247	#14579138	C₂×C₄	1	1	yes	characteristic
248	#14579138	C₂×C₄	1	1	yes	characteristic
249	#14579134	C₂×C₄	1	1	yes	characteristic
250	#14579134	C₂×C₄	1	1	yes	characteristic
251	#14579134	C₂×C₄	1	1	yes	characteristic
252	#14579134	C₂×C₄	1	1	yes	characteristic
253	#14579134	C₂×C₄	1	1	yes	characteristic
254	#14579134	C₂×C₄	1	1	yes	characteristic
255	#14579134	C₂×C₄	1	1	yes	characteristic
256	#14579134	C₂×C₄	1	1	yes	characteristic
257	#14579133	C₂×C₄	1	1	yes	characteristic
258	#14579133	C₂×C₄	1	1	yes	characteristic
259	#14579133	C₂×C₄	1	1	yes	characteristic
260	#14579133	C₂×C₄	1	1	yes	characteristic
261	#14579133	C₂×C₄	1	1	yes	characteristic
262	#14579133	C₂×C₄	1	1	yes	characteristic
263	#14579133	C₂×C₄	1	1	yes	characteristic
264	#14579133	C₂×C₄	1	1	yes	characteristic
265	#14579131	C₂×C₄	1	1	yes	characteristic
266	#14579131	C₂×C₄	1	1	yes	characteristic
267	#14579131	C₂×C₄	1	1	yes	characteristic
268	#14579131	C₂×C₄	1	1	yes	characteristic
269	#14579131	C₂×C₄	1	1	yes	characteristic
270	#14579131	C₂×C₄	1	1	yes	characteristic
271	#14579131	C₂×C₄	1	1	yes	characteristic
272	#14579131	C₂×C₄	1	1	yes	characteristic
273	#14579129	C₂×C₄	1	1	yes	characteristic
274	#14579129	C₂×C₄	1	1	yes	characteristic
275	#14579129	C₂×C₄	1	1	yes	characteristic
276	#14579129	C₂×C₄	1	1	yes	characteristic
277	#14579129	C₂×C₄	1	1	yes	characteristic
278	#14579129	C₂×C₄	1	1	yes	characteristic
279	#14579129	C₂×C₄	1	1	yes	characteristic
280	#14579129	C₂×C₄	1	1	yes	characteristic
281	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
282	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
283	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
284	C₄×D₃₁₆	C₂×C₄	1	1	yes	characteristic
285	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
286	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
287	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
288	C₄×D₃₁₆	C₂³	1	1	yes	characteristic
289	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
290	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
291	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
292	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
293	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
295	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
296	C₄×C₂²⋊D₇₉	C₂×C₄	1	1	yes	characteristic
297	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
298	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
303	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
304	C₄×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
305	#14579118	C₂×C₄	1	1	yes	characteristic
306	#14579118	C₂×C₄	1	1	yes	characteristic
307	#14579118	C₂×C₄	1	1	yes	characteristic
308	#14579118	C₂×C₄	1	1	yes	characteristic
309	#14579118	C₂³	1	1	yes	characteristic
310	#14579118	C₂³	1	1	yes	characteristic
311	#14579118	C₂³	1	1	yes	characteristic
312	#14579118	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
314	C₂×Dic₇₉⋊C₄	C₂×C₄	1	1	yes	characteristic
315	C₂×Dic₇₉⋊C₄	C₂×C₄	1	1	yes	characteristic
316	C₂×Dic₇₉⋊C₄	C₂×C₄	1	1	yes	characteristic
317	C₂×Dic₇₉⋊C₄	C₂×C₄	1	1	yes	characteristic
318	C₂×C₂²⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
319	C₂×C₂²⋊Dic₇₉	C₂×C₄	1	1	yes	characteristic
320	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
321	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
322	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
323	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
324	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
325	C₂×(C₂×D₇₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
326	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
327	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
328	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
329	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
330	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
331	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
332	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
333	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
334	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	—
335	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
336	C₂²⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
337	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
338	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
339	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
340	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	—
341	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
342	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
343	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
344	(C₂×D₇₉)⋊C₈	C₂³	1	2	yes	complemented
345	#14579072	C₂³	1	2	yes	complemented
346	#14579071	C₂³	1	2	yes	complemented
347	#14579071	C₂³	1	2	yes	complemented
348	C₄×C₇₉⋊C₈	C₂³	1	2	yes	complemented
349	C₈×Dic₇₉	C₂³	1	2	yes	complemented
350	C₈×Dic₇₉	C₂³	1	2	yes	complemented
351	C₂²×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
352	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
353	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
354	C₂×M₁₆×C₇₉	—	2	4	no	—
355	C₂×M₁₆×C₇₉	—	2	4	no	—
356	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
357	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
358	C₂×M₁₆×C₇₉	C₂³	1	2	yes	—
359	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
360	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
361	C₂×M₁₆×C₇₉	C₂³	1	2	yes	complemented
362	C₂²×C₈×C₇₉	C₂³	1	2	yes	—
363	C₂²×C₈×C₇₉	C₂³	1	2	yes	complemented
364	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
365	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
366	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
367	C₄×D₄×C₇₉	C₂×C₄	1	1	yes	characteristic
368	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₇₉	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	1	yes	characteristic
375	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
376	C₄⋊C₈×C₇₉	C₂³	1	2	yes	complemented
377	C₄⋊C₈×C₇₉	C₂³	1	2	yes	complemented
378	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
379	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	—
380	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	complemented
381	C₂²⋊C₈×C₇₉	C₂³	1	2	yes	complemented
382	#97×C₇₉	C₂³	1	2	yes	complemented
383	C₄×C₈×C₇₉	C₂³	1	2	yes	complemented
384	C₂³×D₇₉	—	2	4	no	—
385	C₂³×D₇₉	—	4	2	no	—
386	C₂³×D₇₉	—	4	2	no	—
387	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
388	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
389	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
390	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
391	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
392	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
393	C₂³×D₇₉	C₂²×C₄	1	1	yes	characteristic
394	#11929624	—	2	4	no	—
395	#11929624	—	2	4	no	—
396	#11929624	—	2	4	no	—
397	#11929624	—	2	4	no	—
398	#11929624	—	2	2	no	—
399	#11929624	—	2	2	no	—
400	#11929624	—	2	2	no	—
401	#11929624	—	2	2	no	—
402	#11929624	—	2	2	no	—
403	#11929624	—	2	2	no	—
404	#11929624	—	2	2	no	—
405	#11929624	—	2	2	no	—
406	C₂×Dic₁₅₈	—	2	4	no	—
407	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
408	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
409	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
410	C₂×Dic₁₅₈	C₂²×C₄	1	1	yes	characteristic
411	C₂×D₃₁₆	—	2	4	no	—
412	C₂×D₃₁₆	—	4	2	no	—
413	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
414	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
415	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
416	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
417	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
418	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
419	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
420	C₂×D₃₁₆	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₂²⋊D₇₉	—	2	4	no	—
422	C₂×C₂²⋊D₇₉	—	2	4	no	—
423	C₂×C₂²⋊D₇₉	—	4	2	no	—
424	C₂×C₂²⋊D₇₉	—	4	2	no	—
425	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
426	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
428	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₂²⋊D₇₉	C₂²×C₄	1	1	yes	characteristic
441	C₂²×Dic₇₉	—	2	4	no	—
442	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
443	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
444	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
445	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
446	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
447	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
448	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
449	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
450	C₂²×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
451	C₂×C₄×D₇₉	—	2	4	no	—
452	C₂×C₄×D₇₉	—	2	4	no	—
453	C₂×C₄×D₇₉	—	2	4	no	—
454	C₂×C₄×D₇₉	—	2	4	no	—
455	C₂×C₄×D₇₉	—	2	4	no	—
456	C₂×C₄×D₇₉	—	2	2	no	—
457	C₂×C₄×D₇₉	—	2	2	no	—
458	C₂×C₄×D₇₉	—	2	2	no	—
459	C₂×C₄×D₇₉	—	2	2	no	—
460	C₂×C₄×D₇₉	—	2	2	no	—
461	C₂×C₄×D₇₉	—	2	2	no	—
462	C₂×C₄×D₇₉	—	2	2	no	—
463	C₂×C₄×D₇₉	—	2	2	no	—
464	C₂×C₄×D₇₉	—	2	4	no	—
465	C₂×C₄×D₇₉	—	2	2	no	—
466	C₂×C₄×D₇₉	—	2	2	no	—
467	C₂×C₄×D₇₉	—	2	2	no	—
468	C₂×C₄×D₇₉	—	2	2	no	—
469	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
472	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
473	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
474	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
475	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
476	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
477	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
478	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
479	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
480	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
481	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
482	C₂×C₄×D₇₉	C₂²×C₄	1	1	yes	characteristic
483	C₂×C₄×D₇₉	C₂×D₄	1	4	yes	—
484	C₂×C₄×D₇₉	#41	1	4	yes	—
485	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
486	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
487	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
488	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
489	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
490	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
491	#11929608	—	2	4	no	—
492	#11929608	—	2	4	no	—
493	#11929608	—	2	2	no	—
494	#11929608	—	2	2	no	—
495	#11929608	—	2	2	no	—
496	#11929608	C₂×D₄	1	4	yes	—
497	#11929607	—	2	4	no	—
498	#11929607	—	2	4	no	—
499	#11929607	—	2	4	no	—
500	#11929607	—	2	4	no	—
501	#11929607	—	2	4	no	—
502	#11929607	—	2	4	no	—
503	#11929607	—	2	4	no	—
504	#11929607	C₂×D₄	1	8	yes	complemented
505	C₂×C₇₉⋊C₈	—	2	4	no	—
506	C₂×C₇₉⋊C₈	—	2	4	no	—
507	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
508	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
509	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
510	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
511	C₈×D₇₉	—	2	4	no	—
512	C₈×D₇₉	—	2	4	no	—
513	C₈×D₇₉	—	2	4	no	—
514	C₈×D₇₉	—	2	4	no	—
515	C₈×D₇₉	—	2	4	no	—
516	C₈×D₇₉	—	2	4	no	—
517	C₈×D₇₉	—	2	4	no	—
518	C₈×D₇₉	C₂×D₄	1	8	yes	complemented
519	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
520	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
521	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
522	C₄⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
523	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	Dic₇₉⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
540	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
541	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
542	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
543	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
544	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
545	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
546	C₂²⋊Dic₇₉	C₂²×C₄	1	1	yes	characteristic
547	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	(C₂×D₇₉)⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
572	C₄×Dic₇₉	C₂²×C₄	1	1	yes	characteristic
573	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
574	C₄×Dic₇₉	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₇₉	C₂²×C₄	1	1	yes	characteristic
576	C₂⁴×C₇₉	C₂²×C₄	1	1	yes	characteristic
577	C₂×D₄×C₇₉	—	4	2	no	—
578	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
579	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
580	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
581	C₂×D₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
582	C₂²×C₄×C₇₉	—	2	2	no	—
583	C₂²×C₄×C₇₉	—	2	2	no	—
584	C₂²×C₄×C₇₉	—	2	2	no	—
585	C₂²×C₄×C₇₉	—	2	2	no	—
586	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
587	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
588	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
589	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
590	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
591	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
592	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
593	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
594	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
599	M₁₆×C₇₉	—	2	4	no	—
600	M₁₆×C₇₉	—	2	4	no	—
601	M₁₆×C₇₉	—	2	2	no	—
602	M₁₆×C₇₉	—	2	2	no	—
603	M₁₆×C₇₉	—	2	2	no	—
604	M₁₆×C₇₉	C₂×D₄	1	4	yes	—
605	C₂×C₈×C₇₉	—	2	4	no	—
606	C₂×C₈×C₇₉	—	2	4	no	—
607	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
608	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
609	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
610	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
611	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
623	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
624	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
625	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
626	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
627	C₂³×C₇₉	—	2	2	no	—
628	C₂³×C₇₉	—	2	2	no	—
629	C₂³×C₇₉	—	2	2	no	—
630	C₂³×C₇₉	—	4	1	no	—
631	C₂³×C₇₉	—	4	1	no	—
632	C₂³×C₇₉	—	4	1	no	—
633	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
634	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
635	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
636	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
637	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
638	C₂²×D₇₉	—	2	2	no	—
639	C₂²×D₇₉	—	2	2	no	—
640	C₂²×D₇₉	—	2	2	no	—
641	C₂²×D₇₉	—	2	2	no	—
642	C₂²×D₇₉	—	2	2	no	—
643	C₂²×D₇₉	—	2	2	no	—
644	C₂²×D₇₉	—	2	2	no	—
645	C₂²×D₇₉	—	2	2	no	—
646	C₂²×D₇₉	—	2	2	no	—
647	C₂²×D₇₉	—	2	2	no	—
648	C₂²×D₇₉	—	2	2	no	—
649	C₂²×D₇₉	—	4	1	no	—
650	C₂²×D₇₉	—	4	1	no	—
651	C₂²×D₇₉	—	4	1	no	—
652	C₂²×D₇₉	—	4	1	no	—
653	C₂²×D₇₉	—	4	1	no	—
654	C₂²×D₇₉	—	4	1	no	—
655	C₂²×D₇₉	—	4	1	no	—
656	C₂²×D₇₉	—	4	1	no	—
657	C₂²×D₇₉	—	4	1	no	—
658	C₂²×D₇₉	—	4	16	no	—
659	C₂²×D₇₉	C₄×D₄	1	4	yes	—
660	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
661	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
662	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
663	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
664	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
665	C₂²×D₇₉	C₂³×C₄	1	1	yes	characteristic
666	D₄×C₇₉	—	2	2	no	—
667	D₄×C₇₉	—	2	2	no	—
668	D₄×C₇₉	—	4	1	no	—
669	D₄×C₇₉	—	4	1	no	—
670	C₂×C₄×C₇₉	—	2	2	no	—
671	C₂×C₄×C₇₉	—	2	2	no	—
672	C₂×C₄×C₇₉	—	2	2	no	—
673	C₂×C₄×C₇₉	—	2	2	no	—
674	C₂×C₄×C₇₉	—	2	2	no	—
675	C₂×C₄×C₇₉	—	2	2	no	—
676	C₂×C₄×C₇₉	—	2	1	no	—
677	C₂×C₄×C₇₉	—	2	1	no	—
678	C₂×C₄×C₇₉	—	2	1	no	—
679	C₂×C₄×C₇₉	—	2	1	no	—
680	C₂×C₄×C₇₉	—	2	1	no	—
681	C₂×C₄×C₇₉	—	2	1	no	—
682	C₂×C₄×C₇₉	—	2	1	no	—
683	C₂×C₄×C₇₉	—	2	1	no	—
684	C₂×C₄×C₇₉	—	4	1	no	—
685	C₂×C₄×C₇₉	—	4	1	no	—
686	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
687	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
688	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
696	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
697	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
698	C₂²⋊D₇₉	—	2	2	no	—
699	C₂²⋊D₇₉	—	2	2	no	—
700	C₂²⋊D₇₉	—	2	2	no	—
701	C₂²⋊D₇₉	—	2	2	no	—
702	C₂²⋊D₇₉	—	2	2	no	—
703	C₂²⋊D₇₉	—	2	2	no	—
704	C₂²⋊D₇₉	—	2	2	no	—
705	C₂²⋊D₇₉	—	2	2	no	—
706	C₂²⋊D₇₉	—	2	2	no	—
707	C₂²⋊D₇₉	—	2	2	no	—
708	C₂²⋊D₇₉	—	2	2	no	—
709	C₂²⋊D₇₉	—	2	2	no	—
710	C₂²⋊D₇₉	—	4	1	no	—
711	C₂²⋊D₇₉	—	4	1	no	—
712	C₂²⋊D₇₉	—	4	1	no	—
713	C₂²⋊D₇₉	—	4	1	no	—
714	C₂×Dic₇₉	—	2	2	no	—
715	C₂×Dic₇₉	—	2	2	no	—
716	C₂×Dic₇₉	—	2	2	no	—
717	C₂×Dic₇₉	—	2	2	no	—
718	C₂×Dic₇₉	—	2	2	no	—
719	C₂×Dic₇₉	—	2	2	no	—
720	C₂×Dic₇₉	—	4	1	no	—
721	C₂×Dic₇₉	—	4	1	no	—
722	C₂×Dic₇₉	C₄×D₄	1	4	yes	—
723	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
724	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
725	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
726	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
727	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
728	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
729	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
730	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
731	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
732	C₂×Dic₇₉	C₂³×C₄	1	1	yes	characteristic
733	D₃₁₆	—	2	2	no	—
734	D₃₁₆	—	2	2	no	—
735	D₃₁₆	—	2	2	no	—
736	D₃₁₆	—	2	2	no	—
737	D₃₁₆	—	2	2	no	—
738	D₃₁₆	—	2	2	no	—
739	D₃₁₆	—	4	1	no	—
740	D₃₁₆	—	4	1	no	—
741	C₄×D₇₉	—	2	2	no	—
742	C₄×D₇₉	—	2	2	no	—
743	C₄×D₇₉	—	2	2	no	—
744	C₄×D₇₉	—	2	2	no	—
745	C₄×D₇₉	—	2	2	no	—
746	C₄×D₇₉	—	2	2	no	—
747	C₄×D₇₉	—	2	2	no	—
748	C₄×D₇₉	—	2	2	no	—
749	C₄×D₇₉	—	2	1	no	—
750	C₄×D₇₉	—	2	1	no	—
751	C₄×D₇₉	—	2	1	no	—
752	C₄×D₇₉	—	2	1	no	—
753	C₄×D₇₉	—	2	1	no	—
754	C₄×D₇₉	—	2	1	no	—
755	C₄×D₇₉	—	2	1	no	—
756	C₄×D₇₉	—	2	1	no	—
757	C₄×D₇₉	—	2	2	no	—
758	C₄×D₇₉	—	2	2	no	—
759	C₄×D₇₉	—	2	2	no	—
760	C₄×D₇₉	—	2	2	no	—
761	C₄×D₇₉	C₄×D₄	1	4	yes	—
762	C₄×D₇₉	C₄×D₄	1	4	yes	—
763	C₄×D₇₉	C₂²×D₄	1	2	yes	—
764	C₄×D₇₉	C₂²×D₄	1	2	yes	—
765	C₄×D₇₉	C₂×#41	1	2	yes	—
766	C₄×D₇₉	C₂×#41	1	2	yes	—
767	Dic₁₅₈	—	2	2	no	—
768	Dic₁₅₈	—	2	2	no	—
769	Dic₁₅₈	—	2	2	no	—
770	Dic₁₅₈	—	2	2	no	—
771	C₈×C₇₉	—	2	2	no	—
772	C₈×C₇₉	—	2	2	no	—
773	C₈×C₇₉	—	2	2	no	—
774	C₈×C₇₉	C₂²×D₄	1	4	yes	—
775	C₇₉⋊C₈	—	2	2	no	—
776	C₇₉⋊C₈	—	2	2	no	—
777	C₇₉⋊C₈	—	2	2	no	—
778	C₇₉⋊C₈	C₂²×D₄	1	4	yes	—
779	C₂²×C₇₉	—	2	1	no	—
780	C₂²×C₇₉	—	2	1	no	—
781	C₂²×C₇₉	—	2	1	no	—
782	C₂²×C₇₉	—	2	1	no	—
783	C₂²×C₇₉	—	2	1	no	—
784	C₂²×C₇₉	—	2	1	no	—
785	C₂²×C₇₉	—	2	1	no	—
786	C₂²×C₇₉	—	2	1	no	—
787	C₂²×C₇₉	—	2	1	no	—
788	C₂²×C₇₉	—	2	1	no	—
789	C₂²×C₇₉	—	2	1	no	—
790	C₂²×C₇₉	—	2	1	no	—
791	C₂²×C₇₉	—	2	1	no	—
792	C₂²×C₇₉	—	4	4	no	—
793	C₂²×C₇₉	—	8	2	no	—
794	C₂²×C₇₉	C₂×C₄×D₄	1	2	yes	—
795	C₂²×C₇₉	#568	1	2	yes	complemented
796	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
797	C₂×D₇₉	—	2	8	no	—
798	C₂×D₇₉	—	2	1	no	—
799	C₂×D₇₉	—	2	1	no	—
800	C₂×D₇₉	—	2	1	no	—
801	C₂×D₇₉	—	2	1	no	—
802	C₂×D₇₉	—	2	1	no	—
803	C₂×D₇₉	—	2	1	no	—
804	C₂×D₇₉	—	2	1	no	—
805	C₂×D₇₉	—	2	1	no	—
806	C₂×D₇₉	—	2	1	no	—
807	C₂×D₇₉	—	2	1	no	—
808	C₂×D₇₉	—	2	1	no	—
809	C₂×D₇₉	—	2	1	no	—
810	C₂×D₇₉	—	2	1	no	—
811	C₂×D₇₉	—	2	1	no	—
812	C₂×D₇₉	—	2	1	no	—
813	C₂×D₇₉	—	4	4	no	—
814	C₂×D₇₉	—	4	4	no	—
815	C₂×D₇₉	—	4	4	no	—
816	C₂×D₇₉	—	4	4	no	—
817	C₂×D₇₉	—	4	4	no	—
818	C₂×D₇₉	—	8	2	no	—
819	C₂×D₇₉	C₂×C₄×D₄	1	2	yes	—
820	C₂×D₇₉	C₂×C₄×D₄	1	2	yes	—
821	C₂×D₇₉	#568	1	2	yes	complemented
822	C₄×C₇₉	—	2	1	no	—
823	C₄×C₇₉	—	2	1	no	—
824	C₄×C₇₉	—	2	1	no	—
825	C₄×C₇₉	—	2	1	no	—
826	C₄×C₇₉	—	2	1	no	—
827	C₄×C₇₉	—	2	1	no	—
828	C₄×C₇₉	—	2	1	no	—
829	C₄×C₇₉	—	2	1	no	—
830	C₄×C₇₉	C₂×C₄×D₄	1	2	yes	—
831	C₄×C₇₉	C₂³×D₄	1	1	yes	characteristic
832	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
833	Dic₇₉	—	2	1	no	—
834	Dic₇₉	—	2	1	no	—
835	Dic₇₉	—	2	1	no	—
836	Dic₇₉	—	2	1	no	—
837	Dic₇₉	—	2	1	no	—
838	Dic₇₉	—	2	1	no	—
839	Dic₇₉	—	2	1	no	—
840	Dic₇₉	—	2	1	no	—
841	Dic₇₉	C₂×C₄×D₄	1	2	yes	—
842	Dic₇₉	C₂×C₄×D₄	1	2	yes	—
843	#60141	—	79	1	no	maximal, Sylow
844	C₂×C₇₉	—	2	2	no	—
845	C₂×C₇₉	—	2	2	no	—
846	C₂×C₇₉	—	4	1	no	—
847	C₂×C₇₉	—	4	1	no	—
848	C₂×C₇₉	—	4	1	no	—
849	C₂×C₇₉	C₂²×C₄×D₄	1	1	yes	characteristic
850	C₂×C₇₉	C₂×#568	1	1	yes	characteristic
851	C₂×C₇₉	C₂×#568	1	1	yes	characteristic
852	D₇₉	—	2	2	no	—
853	D₇₉	—	2	2	no	—
854	D₇₉	—	2	2	no	—
855	D₇₉	—	4	1	no	—
856	D₇₉	—	4	1	no	—
857	D₇₉	—	4	1	no	—
858	C₂×#568	—	79	1	no	—
859	C₂³×M₁₆	—	79	1	no	—
860	C₂×#525	—	79	1	no	—
861	D₄×M₁₆	—	79	1	no	—
862	D₄×M₁₆	—	79	1	no	—
863	D₄×M₁₆	—	79	1	no	—
864	D₄×M₁₆	—	79	1	no	—
865	D₄×M₁₆	—	79	1	no	—
866	D₄×M₁₆	—	79	1	no	—
867	D₄×M₁₆	—	79	1	no	—
868	D₄×M₁₆	D₇₉	1	1	yes	characteristic, complemented
869	#2933	—	79	2	no	—
870	#2933	—	79	2	no	—
871	#2933	—	79	2	no	—
872	#2933	—	79	2	no	—
873	#2930	—	79	2	no	—
874	#2930	—	79	2	no	—
875	#2929	—	79	2	no	—
876	#2929	—	79	2	no	—
877	#2905	—	79	1	no	—
878	#2879	—	79	1	no	—
879	C₂×#407	—	79	1	no	—
880	#2873	—	79	1	no	—
881	C₇₉	#60141	1	1	yes	characteristic, complemented, Sylow
882	C₂²×#41	—	79	1	no	—
883	C₂⁴×C₄	—	79	1	no	—
884	#568	—	158	8	no	—
885	C₂×#131	—	79	2	no	—
886	C₂×#131	—	79	2	no	—
887	C₂×#131	—	79	2	no	—
888	C₂×#131	—	79	2	no	—
889	C₂²×M₁₆	—	79	1	no	—
890	C₂²×M₁₆	—	79	1	no	—
891	C₂²×M₁₆	—	79	1	no	—
892	C₂²×M₁₆	—	79	1	no	—
893	C₂²×M₁₆	—	79	1	no	—
894	C₂²×M₁₆	—	79	1	no	—
895	C₂²×M₁₆	—	79	2	no	—
896	C₂²×M₁₆	—	79	2	no	—
897	C₂²×M₁₆	—	79	1	no	—
898	C₂²×M₁₆	—	79	1	no	—
899	C₂²×M₁₆	—	79	1	no	—
900	C₂²×M₁₆	—	79	1	no	—
901	C₂²×M₁₆	—	79	2	no	—
902	C₂²×M₁₆	—	158	8	no	—
903	C₂²×M₁₆	C₂×D₇₉	1	1	yes	characteristic
904	C₂²×M₁₆	C₂×D₇₉	1	1	yes	characteristic, complemented
905	C₂³×C₈	—	79	2	no	—
906	#525	—	79	1	no	—
907	#525	—	79	1	no	—
908	#525	—	79	1	no	—
909	#525	—	79	1	no	—
910	#525	—	79	1	no	—
911	#525	—	79	1	no	—
912	#525	—	79	1	no	—
913	#525	—	79	1	no	—
914	#525	—	79	1	no	—
915	#525	—	79	1	no	—
916	#525	—	79	1	no	—
917	#525	—	79	1	no	—
918	#525	—	79	1	no	—
919	#525	—	79	1	no	—
920	#525	—	79	1	no	—
921	#525	—	79	1	no	—
922	C₂×#123	—	79	1	no	—
923	C₂×#123	—	79	1	no	—
924	C₂×C₂²⋊Q₈	—	79	1	no	—
925	C₂×C₂²⋊Q₈	—	79	1	no	—
926	C₂×#121	—	79	1	no	—
927	C₂×#121	—	79	1	no	—
928	C₂×#120	—	79	1	no	—
929	C₂×#120	—	79	1	no	—
930	C₂×C₄×D₄	—	79	1	no	—
931	C₂×C₄×D₄	—	79	1	no	—
932	C₂×C₄×D₄	—	79	1	no	—
933	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
934	C₂×#117	—	79	1	no	—
935	#436	—	79	2	no	—
936	#436	—	79	2	no	—
937	#436	—	79	2	no	—
938	#436	—	79	2	no	—
939	#436	—	79	2	no	—
940	#436	—	79	2	no	—
941	#436	—	79	2	no	—
942	#436	C₂×D₇₉	1	2	yes	complemented
943	#435	—	79	2	no	—
944	#435	—	79	2	no	—
945	#435	—	79	2	no	—
946	#435	—	79	2	no	—
947	#435	—	79	2	no	—
948	#435	—	79	2	no	—
949	#435	—	79	2	no	—
950	#435	—	79	2	no	—
951	#435	—	79	2	no	—
952	#435	—	79	2	no	—
953	#435	—	79	2	no	—
954	#435	—	79	2	no	—
955	#435	—	79	2	no	—
956	#435	—	79	2	no	—
957	#435	C₂×D₇₉	1	2	yes	complemented
958	#435	C₂×D₇₉	1	2	yes	complemented
959	C₈×D₄	—	79	2	no	—
960	C₈×D₄	—	79	2	no	—
961	C₈×D₄	—	79	2	no	—
962	C₈×D₄	—	79	2	no	—
963	C₈×D₄	—	79	2	no	—
964	C₈×D₄	—	79	2	no	—
965	C₈×D₄	—	79	2	no	—
966	C₈×D₄	C₂×D₇₉	1	2	yes	complemented
967	#424	—	79	2	no	—
968	#424	—	79	2	no	—
969	#424	—	79	2	no	—
970	#424	—	79	2	no	—
971	#423	—	79	1	no	—
972	#423	—	79	1	no	—
973	#423	—	79	1	no	—
974	#423	C₂×D₇₉	1	1	yes	characteristic, complemented
975	#408	—	79	2	no	—
976	#408	—	79	2	no	—
977	#408	—	79	2	no	—
978	#408	—	79	2	no	—
979	#407	—	79	1	no	—
980	#407	—	79	1	no	—
981	#407	—	79	1	no	—
982	#407	—	79	1	no	—
983	#407	—	79	1	no	—
984	#407	—	79	1	no	—
985	#407	—	79	2	no	—
986	#407	—	79	2	no	—
987	#407	C₂×D₇₉	1	1	yes	characteristic
988	#407	C₂×D₇₉	1	1	yes	characteristic, complemented
989	C₂×C₂²⋊C₈	—	79	2	no	—
990	C₂×C₂²⋊C₈	—	79	2	no	—
991	#405	—	79	2	no	—
992	#405	—	79	2	no	—
993	#405	—	79	2	no	—
994	#405	—	79	2	no	—
995	C₄×M₁₆	—	79	1	no	—
996	C₄×M₁₆	—	79	1	no	—
997	C₄×M₁₆	—	79	1	no	—
998	C₄×M₁₆	C₂×D₇₉	1	1	yes	characteristic, complemented
999	C₂⁵	—	79	1	no	—
1000	C₂×#41	—	79	1	no	—
1001	C₂×#41	—	79	1	no	—
1002	C₂×#41	—	79	1	no	—
1003	C₂×#41	—	79	1	no	—
1004	C₂×#41	—	79	1	no	—
1005	C₂×#41	—	79	1	no	—
1006	C₂×#41	—	79	1	no	—
1007	C₂×#41	—	79	1	no	—
1008	C₂×#41	—	158	4	no	—
1009	C₂×#41	—	158	4	no	—
1010	C₂²×Q₈	—	79	1	no	—
1011	C₂²×D₄	—	79	1	no	—
1012	C₂²×D₄	—	79	1	no	—
1013	C₂²×D₄	—	79	1	no	—
1014	C₂²×D₄	—	79	1	no	—
1015	C₂²×D₄	—	79	1	no	—
1016	C₂²×D₄	—	79	1	no	—
1017	C₂²×D₄	C₄×D₇₉	1	1	yes	characteristic
1018	C₂³×C₄	—	79	1	no	—
1019	C₂³×C₄	—	79	1	no	—
1020	C₂³×C₄	—	79	1	no	—
1021	C₂³×C₄	—	79	1	no	—
1022	C₂³×C₄	—	79	1	no	—
1023	C₂³×C₄	—	79	1	no	—
1024	C₂³×C₄	—	79	1	no	—
1025	C₂³×C₄	—	79	1	no	—
1026	C₂³×C₄	—	79	1	no	—
1027	C₂³×C₄	—	79	1	no	—
1028	C₂³×C₄	—	79	1	no	—
1029	C₂³×C₄	—	79	1	no	—
1030	C₂³×C₄	—	79	1	no	—
1031	C₂³×C₄	—	79	1	no	—
1032	C₂³×C₄	—	158	4	no	—
1033	C₂³×C₄	—	158	4	no	—
1034	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1035	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
1036	#131	—	158	8	no	—
1037	#131	—	158	8	no	—
1038	#131	—	158	8	no	—
1039	#131	—	158	8	no	—
1040	C₂×M₁₆	—	2	4	no	—
1041	C₂×M₁₆	—	2	4	no	—
1042	C₂×M₁₆	—	79	1	no	—
1043	C₂×M₁₆	—	79	8	no	—
1044	C₂×M₁₆	—	79	1	no	—
1045	C₂×M₁₆	—	79	1	no	—
1046	C₂×M₁₆	—	79	2	no	—
1047	C₂×M₁₆	—	79	2	no	—
1048	C₂×M₁₆	—	79	1	no	—
1049	C₂×M₁₆	—	79	2	no	—
1050	C₂×M₁₆	—	79	2	no	—
1051	C₂×M₁₆	—	79	2	no	—
1052	C₂×M₁₆	—	79	2	no	—
1053	C₂×M₁₆	—	79	2	no	—
1054	C₂×M₁₆	—	79	2	no	—
1055	C₂×M₁₆	—	79	2	no	—
1056	C₂×M₁₆	—	79	2	no	—
1057	C₂×M₁₆	—	158	8	no	—
1058	C₂×M₁₆	—	158	8	no	—
1059	C₂×M₁₆	—	158	4	no	—
1060	C₂×M₁₆	—	158	8	no	—
1061	C₂×M₁₆	—	158	4	no	—
1062	C₂×M₁₆	—	158	4	no	—
1063	C₂×M₁₆	—	158	4	no	—
1064	C₂×M₁₆	—	158	4	no	—
1065	C₂×M₁₆	—	158	4	no	—
1066	C₂×M₁₆	—	158	4	no	—
1067	C₂×M₁₆	—	158	4	no	—
1068	C₂×M₁₆	—	158	4	no	—
1069	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
1070	C₂×M₁₆	C₂²×D₇₉	1	2	yes	—
1071	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
1072	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
1073	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
1074	C₂×M₁₆	C₂²×D₇₉	1	2	yes	complemented
1075	C₂²×C₈	—	79	2	no	—
1076	C₂²×C₈	—	79	2	no	—
1077	C₂²×C₈	—	79	2	no	—
1078	C₂²×C₈	—	79	2	no	—
1079	C₂²×C₈	—	79	2	no	—
1080	C₂²×C₈	—	79	2	no	—
1081	C₂²×C₈	—	79	2	no	—
1082	C₂²×C₈	—	79	2	no	—
1083	C₂²×C₈	—	79	2	no	—
1084	C₂²×C₈	—	79	2	no	—
1085	C₂²×C₈	—	158	8	no	—
1086	C₂²×C₈	C₂²×D₇₉	1	2	yes	—
1087	C₂²×C₈	C₂²×D₇₉	1	2	yes	complemented
1088	#123	—	79	1	no	—
1089	#123	—	79	1	no	—
1090	#123	—	79	1	no	—
1091	#123	—	79	1	no	—
1092	#123	—	79	1	no	—
1093	#123	—	79	1	no	—
1094	#123	—	79	1	no	—
1095	#123	—	79	1	no	—
1096	#123	—	79	1	no	—
1097	#123	—	79	1	no	—
1098	#123	—	79	1	no	—
1099	#123	—	79	1	no	—
1100	#123	—	79	1	no	—
1101	#123	—	79	1	no	—
1102	#123	—	79	1	no	—
1103	#123	—	79	1	no	—
1104	C₂²⋊Q₈	—	79	1	no	—
1105	C₂²⋊Q₈	—	79	1	no	—
1106	C₂²⋊Q₈	—	79	1	no	—
1107	C₂²⋊Q₈	—	79	1	no	—
1108	C₂²⋊Q₈	—	79	1	no	—
1109	C₂²⋊Q₈	—	79	1	no	—
1110	C₂²⋊Q₈	—	79	1	no	—
1111	C₂²⋊Q₈	—	79	1	no	—
1112	C₂²⋊Q₈	—	79	1	no	—
1113	C₂²⋊Q₈	—	79	1	no	—
1114	C₂²⋊Q₈	—	79	1	no	—
1115	C₂²⋊Q₈	—	79	1	no	—
1116	C₂²⋊Q₈	—	79	1	no	—
1117	C₂²⋊Q₈	—	79	1	no	—
1118	C₂²⋊Q₈	—	79	1	no	—
1119	C₂²⋊Q₈	—	79	1	no	—
1120	#121	—	79	1	no	—
1121	#121	—	79	1	no	—
1122	#121	—	79	1	no	—
1123	#121	—	79	1	no	—
1124	#121	—	79	1	no	—
1125	#121	—	79	1	no	—
1126	#121	—	79	1	no	—
1127	#121	—	79	1	no	—
1128	#121	—	79	1	no	—
1129	#121	—	79	1	no	—
1130	#121	—	79	1	no	—
1131	#121	—	79	1	no	—
1132	#121	—	79	1	no	—
1133	#121	—	79	1	no	—
1134	#121	—	79	1	no	—
1135	#121	—	79	1	no	—
1136	#120	—	79	1	no	—
1137	#120	—	79	1	no	—
1138	#120	—	79	1	no	—
1139	#120	—	79	1	no	—
1140	#120	—	79	1	no	—
1141	#120	—	79	1	no	—
1142	#120	—	79	1	no	—
1143	#120	—	79	1	no	—
1144	#120	—	79	1	no	—
1145	#120	—	79	1	no	—
1146	#120	—	79	1	no	—
1147	#120	—	79	1	no	—
1148	#120	—	79	1	no	—
1149	#120	—	79	1	no	—
1150	#120	—	79	1	no	—
1151	#120	—	79	1	no	—
1152	C₄×D₄	—	79	1	no	—
1153	C₄×D₄	—	79	1	no	—
1154	C₄×D₄	—	79	1	no	—
1155	C₄×D₄	—	79	1	no	—
1156	C₄×D₄	—	79	1	no	—
1157	C₄×D₄	—	79	1	no	—
1158	C₄×D₄	—	79	1	no	—
1159	C₄×D₄	—	79	1	no	—
1160	C₄×D₄	—	79	1	no	—
1161	C₄×D₄	—	79	1	no	—
1162	C₄×D₄	—	79	1	no	—
1163	C₄×D₄	—	79	1	no	—
1164	C₄×D₄	—	79	1	no	—
1165	C₄×D₄	—	79	1	no	—
1166	C₄×D₄	—	79	1	no	—
1167	C₄×D₄	—	79	1	no	—
1168	C₄×D₄	—	79	1	no	—
1169	C₄×D₄	—	79	1	no	—
1170	C₄×D₄	—	79	1	no	—
1171	C₄×D₄	—	79	1	no	—
1172	C₄×D₄	—	79	1	no	—
1173	C₄×D₄	—	79	1	no	—
1174	C₄×D₄	—	79	1	no	—
1175	C₄×D₄	—	79	1	no	—
1176	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
1177	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
1178	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
1179	C₄×D₄	C₄×D₇₉	1	1	yes	characteristic
1180	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1181	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1182	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1183	C₄×D₄	C₂²×D₇₉	1	1	yes	characteristic
1184	#117	—	79	1	no	—
1185	#117	—	79	1	no	—
1186	#117	—	79	1	no	—
1187	#117	—	79	1	no	—
1188	#117	—	79	1	no	—
1189	#117	—	79	1	no	—
1190	#117	—	79	1	no	—
1191	#117	—	79	1	no	—
1192	C₂×C₄⋊C₄	—	79	1	no	—
1193	C₂×C₄⋊C₄	—	79	1	no	—
1194	C₂×C₄⋊C₄	—	79	1	no	—
1195	C₂×C₄⋊C₄	—	79	1	no	—
1196	C₂×C₄⋊C₄	—	79	1	no	—
1197	C₂×C₄⋊C₄	C₄×D₇₉	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	—	79	1	no	—
1199	C₂×C₂²⋊C₄	—	79	1	no	—
1200	C₂×C₂²⋊C₄	—	79	1	no	—
1201	C₂×C₂²⋊C₄	—	79	1	no	—
1202	C₂×C₂²⋊C₄	—	79	1	no	—
1203	C₂×C₂²⋊C₄	—	79	1	no	—
1204	C₂×C₂²⋊C₄	—	79	1	no	—
1205	C₂×C₂²⋊C₄	—	79	1	no	—
1206	C₂×C₂²⋊C₄	C₄×D₇₉	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₄×D₇₉	1	1	yes	characteristic
1208	C₂×C₄²	—	79	1	no	—
1209	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1210	C₄⋊C₈	—	79	2	no	—
1211	C₄⋊C₈	—	79	2	no	—
1212	C₄⋊C₈	—	79	2	no	—
1213	C₄⋊C₈	—	79	2	no	—
1214	C₄⋊C₈	—	79	2	no	—
1215	C₄⋊C₈	—	79	2	no	—
1216	C₄⋊C₈	C₂²×D₇₉	1	2	yes	complemented
1217	C₄⋊C₈	C₂²×D₇₉	1	2	yes	complemented
1218	C₂²⋊C₈	—	79	2	no	—
1219	C₂²⋊C₈	—	79	2	no	—
1220	C₂²⋊C₈	—	79	2	no	—
1221	C₂²⋊C₈	—	79	2	no	—
1222	C₂²⋊C₈	—	79	2	no	—
1223	C₂²⋊C₈	—	79	2	no	—
1224	C₂²⋊C₈	—	79	2	no	—
1225	C₂²⋊C₈	—	79	2	no	—
1226	C₂²⋊C₈	—	79	2	no	—
1227	C₂²⋊C₈	—	79	2	no	—
1228	C₂²⋊C₈	—	79	2	no	—
1229	C₂²⋊C₈	—	79	2	no	—
1230	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
1231	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	—
1232	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	complemented
1233	C₂²⋊C₈	C₂²×D₇₉	1	2	yes	complemented
1234	#97	—	79	2	no	—
1235	#97	—	79	2	no	—
1236	#97	—	79	2	no	—
1237	#97	C₂²×D₇₉	1	2	yes	complemented
1238	C₄×C₈	—	79	2	no	—
1239	C₄×C₈	—	79	2	no	—
1240	C₄×C₈	—	79	2	no	—
1241	C₄×C₈	C₂²×D₇₉	1	2	yes	complemented
1242	C₂⁴	—	316	2	no	—
1243	C₂⁴	—	316	2	no	—
1244	C₂⁴	—	79	1	no	—
1245	C₂⁴	—	79	1	no	—
1246	C₂⁴	—	79	1	no	—
1247	C₂⁴	—	79	1	no	—
1248	C₂⁴	—	79	1	no	—
1249	C₂⁴	—	79	1	no	—
1250	C₂⁴	—	79	1	no	—
1251	C₂⁴	—	158	4	no	—
1252	C₂⁴	C₂×C₄×D₇₉	1	1	yes	characteristic
1253	C₂⁴	C₂×C₄×D₇₉	1	1	yes	characteristic
1254	#41	—	158	2	no	—
1255	#41	—	158	2	no	—
1256	#41	—	158	2	no	—
1257	#41	—	158	2	no	—
1258	#41	—	158	4	no	—
1259	#41	—	158	4	no	—
1260	#41	—	158	4	no	—
1261	#41	—	158	4	no	—
1262	#41	—	158	2	no	—
1263	#41	—	158	2	no	—
1264	#41	—	158	2	no	—
1265	#41	—	158	2	no	—
1266	C₂×Q₈	—	79	1	no	—
1267	C₂×Q₈	—	79	1	no	—
1268	C₂×Q₈	—	79	1	no	—
1269	C₂×Q₈	—	79	1	no	—
1270	C₂×Q₈	—	158	4	no	—
1271	C₂×D₄	—	4	2	no	—
1272	C₂×D₄	—	316	2	no	—
1273	C₂×D₄	—	316	2	no	—
1274	C₂×D₄	—	316	2	no	—
1275	C₂×D₄	—	79	1	no	—
1276	C₂×D₄	—	79	1	no	—
1277	C₂×D₄	—	79	1	no	—
1278	C₂×D₄	—	79	1	no	—
1279	C₂×D₄	—	79	1	no	—
1280	C₂×D₄	—	79	1	no	—
1281	C₂×D₄	—	79	1	no	—
1282	C₂×D₄	—	79	1	no	—
1283	C₂×D₄	—	79	1	no	—
1284	C₂×D₄	—	79	1	no	—
1285	C₂×D₄	—	79	1	no	—
1286	C₂×D₄	—	79	1	no	—
1287	C₂×D₄	—	79	1	no	—
1288	C₂×D₄	—	79	1	no	—
1289	C₂×D₄	—	79	1	no	—
1290	C₂×D₄	—	79	1	no	—
1291	C₂×D₄	—	79	1	no	—
1292	C₂×D₄	—	79	1	no	—
1293	C₂×D₄	—	79	1	no	—
1294	C₂×D₄	—	79	1	no	—
1295	C₂×D₄	—	79	1	no	—
1296	C₂×D₄	—	79	1	no	—
1297	C₂×D₄	—	79	1	no	—
1298	C₂×D₄	—	79	1	no	—
1299	C₂×D₄	—	158	4	no	—
1300	C₂×D₄	—	158	4	no	—
1301	C₂×D₄	—	158	4	no	—
1302	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1304	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1305	C₂×D₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	2	no	—
1309	C₂²×C₄	—	2	2	no	—
1310	C₂²×C₄	—	79	1	no	—
1311	C₂²×C₄	—	79	1	no	—
1312	C₂²×C₄	—	79	1	no	—
1313	C₂²×C₄	—	79	4	no	—
1314	C₂²×C₄	—	79	1	no	—
1315	C₂²×C₄	—	79	1	no	—
1316	C₂²×C₄	—	79	1	no	—
1317	C₂²×C₄	—	79	1	no	—
1318	C₂²×C₄	—	79	4	no	—
1319	C₂²×C₄	—	79	1	no	—
1320	C₂²×C₄	—	79	1	no	—
1321	C₂²×C₄	—	79	1	no	—
1322	C₂²×C₄	—	79	1	no	—
1323	C₂²×C₄	—	79	1	no	—
1324	C₂²×C₄	—	79	1	no	—
1325	C₂²×C₄	—	79	1	no	—
1326	C₂²×C₄	—	79	1	no	—
1327	C₂²×C₄	—	79	1	no	—
1328	C₂²×C₄	—	79	1	no	—
1329	C₂²×C₄	—	79	1	no	—
1330	C₂²×C₄	—	79	1	no	—
1331	C₂²×C₄	—	79	1	no	—
1332	C₂²×C₄	—	79	1	no	—
1333	C₂²×C₄	—	79	1	no	—
1334	C₂²×C₄	—	79	1	no	—
1335	C₂²×C₄	—	79	1	no	—
1336	C₂²×C₄	—	79	1	no	—
1337	C₂²×C₄	—	79	1	no	—
1338	C₂²×C₄	—	79	1	no	—
1339	C₂²×C₄	—	79	1	no	—
1340	C₂²×C₄	—	79	1	no	—
1341	C₂²×C₄	—	158	2	no	—
1342	C₂²×C₄	—	158	2	no	—
1343	C₂²×C₄	—	158	2	no	—
1344	C₂²×C₄	—	158	2	no	—
1345	C₂²×C₄	—	158	4	no	—
1346	C₂²×C₄	—	158	4	no	—
1347	C₂²×C₄	—	158	4	no	—
1348	C₂²×C₄	—	158	4	no	—
1349	C₂²×C₄	—	158	4	no	—
1350	C₂²×C₄	—	158	2	no	—
1351	C₂²×C₄	—	158	2	no	—
1352	C₂²×C₄	—	158	2	no	—
1353	C₂²×C₄	—	158	2	no	—
1354	C₂²×C₄	—	158	4	no	—
1355	C₂²×C₄	—	158	4	no	—
1356	C₂²×C₄	—	158	2	no	—
1357	C₂²×C₄	—	158	2	no	—
1358	C₂²×C₄	—	158	2	no	—
1359	C₂²×C₄	—	158	2	no	—
1360	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1361	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1362	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1363	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1364	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1365	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1366	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1367	C₂²×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1368	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1369	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1370	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1373	M₁₆	—	2	2	no	—
1374	M₁₆	—	2	2	no	—
1375	M₁₆	—	2	2	no	—
1376	M₁₆	—	2	4	no	—
1377	M₁₆	—	2	4	no	—
1378	M₁₆	—	79	4	no	—
1379	M₁₆	—	79	8	no	—
1380	M₁₆	—	158	4	no	—
1381	M₁₆	—	158	4	no	—
1382	M₁₆	—	158	4	no	—
1383	M₁₆	—	158	4	no	—
1384	M₁₆	—	158	4	no	—
1385	M₁₆	—	158	4	no	—
1386	M₁₆	—	158	4	no	—
1387	M₁₆	—	158	2	no	—
1388	M₁₆	—	158	2	no	—
1389	M₁₆	—	158	2	no	—
1390	M₁₆	—	158	4	no	—
1391	M₁₆	—	158	4	no	—
1392	M₁₆	D₄×D₇₉	1	4	yes	—
1393	C₂×C₈	—	2	4	no	—
1394	C₂×C₈	—	2	4	no	—
1395	C₂×C₈	—	79	2	no	—
1396	C₂×C₈	—	79	8	no	—
1397	C₂×C₈	—	79	2	no	—
1398	C₂×C₈	—	79	2	no	—
1399	C₂×C₈	—	79	2	no	—
1400	C₂×C₈	—	158	4	no	—
1401	C₂×C₈	—	158	4	no	—
1402	C₂×C₈	—	158	4	no	—
1403	C₂×C₈	—	158	4	no	—
1404	C₂×C₈	—	158	4	no	—
1405	C₂×C₈	—	158	4	no	—
1406	C₂×C₈	—	158	4	no	—
1407	C₂×C₈	—	158	4	no	—
1408	C₂×C₈	—	158	4	no	—
1409	C₂×C₈	C₂³×D₇₉	1	2	yes	—
1410	C₂×C₈	C₂³×D₇₉	1	2	yes	—
1411	C₂×C₈	C₂³×D₇₉	1	2	yes	—
1412	C₂×C₈	C₂³×D₇₉	1	2	yes	—
1413	C₄⋊C₄	—	79	1	no	—
1414	C₄⋊C₄	—	79	1	no	—
1415	C₄⋊C₄	—	79	1	no	—
1416	C₄⋊C₄	—	79	1	no	—
1417	C₄⋊C₄	—	79	1	no	—
1418	C₄⋊C₄	—	79	1	no	—
1419	C₄⋊C₄	—	79	1	no	—
1420	C₄⋊C₄	—	79	1	no	—
1421	C₄⋊C₄	—	79	1	no	—
1422	C₄⋊C₄	—	79	1	no	—
1423	C₄⋊C₄	—	79	1	no	—
1424	C₄⋊C₄	—	79	1	no	—
1425	C₄⋊C₄	—	79	1	no	—
1426	C₄⋊C₄	—	79	1	no	—
1427	C₄⋊C₄	—	79	1	no	—
1428	C₄⋊C₄	—	79	1	no	—
1429	C₄⋊C₄	—	79	1	no	—
1430	C₄⋊C₄	—	79	1	no	—
1431	C₄⋊C₄	—	79	1	no	—
1432	C₄⋊C₄	—	79	1	no	—
1433	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1437	C₂²⋊C₄	—	79	1	no	—
1438	C₂²⋊C₄	—	79	1	no	—
1439	C₂²⋊C₄	—	79	1	no	—
1440	C₂²⋊C₄	—	79	1	no	—
1441	C₂²⋊C₄	—	79	1	no	—
1442	C₂²⋊C₄	—	79	1	no	—
1443	C₂²⋊C₄	—	79	1	no	—
1444	C₂²⋊C₄	—	79	1	no	—
1445	C₂²⋊C₄	—	79	1	no	—
1446	C₂²⋊C₄	—	79	1	no	—
1447	C₂²⋊C₄	—	79	1	no	—
1448	C₂²⋊C₄	—	79	1	no	—
1449	C₂²⋊C₄	—	79	1	no	—
1450	C₂²⋊C₄	—	79	1	no	—
1451	C₂²⋊C₄	—	79	1	no	—
1452	C₂²⋊C₄	—	79	1	no	—
1453	C₂²⋊C₄	—	79	1	no	—
1454	C₂²⋊C₄	—	79	1	no	—
1455	C₂²⋊C₄	—	79	1	no	—
1456	C₂²⋊C₄	—	79	1	no	—
1457	C₂²⋊C₄	—	79	1	no	—
1458	C₂²⋊C₄	—	79	1	no	—
1459	C₂²⋊C₄	—	79	1	no	—
1460	C₂²⋊C₄	—	79	1	no	—
1461	C₂²⋊C₄	—	79	1	no	—
1462	C₂²⋊C₄	—	79	1	no	—
1463	C₂²⋊C₄	—	79	1	no	—
1464	C₂²⋊C₄	—	79	1	no	—
1465	C₂²⋊C₄	—	79	1	no	—
1466	C₂²⋊C₄	—	79	1	no	—
1467	C₂²⋊C₄	—	79	1	no	—
1468	C₂²⋊C₄	—	79	1	no	—
1469	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
1477	C₄²	—	79	1	no	—
1478	C₄²	—	79	1	no	—
1479	C₄²	—	79	1	no	—
1480	C₄²	—	79	1	no	—
1481	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1482	C₄²	C₂×C₄×D₇₉	1	1	yes	characteristic
1483	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1484	C₄²	C₂³×D₇₉	1	1	yes	characteristic
1485	C₂³	—	2	2	no	—
1486	C₂³	—	2	2	no	—
1487	C₂³	—	2	2	no	—
1488	C₂³	—	4	1	no	—
1489	C₂³	—	4	1	no	—
1490	C₂³	—	4	1	no	—
1491	C₂³	—	316	1	no	—
1492	C₂³	—	316	1	no	—
1493	C₂³	—	316	1	no	—
1494	C₂³	—	316	1	no	—
1495	C₂³	—	316	1	no	—
1496	C₂³	—	316	1	no	—
1497	C₂³	—	316	1	no	—
1498	C₂³	—	316	1	no	—
1499	C₂³	—	316	1	no	—
1500	C₂³	—	316	16	no	—
1501	C₂³	—	79	4	no	—
1502	C₂³	—	79	1	no	—
1503	C₂³	—	79	1	no	—
1504	C₂³	—	79	1	no	—
1505	C₂³	—	79	1	no	—
1506	C₂³	—	79	1	no	—
1507	C₂³	—	79	1	no	—
1508	C₂³	—	158	2	no	—
1509	C₂³	—	158	2	no	—
1510	C₂³	—	158	2	no	—
1511	C₂³	—	158	2	no	—
1512	C₂³	—	158	2	no	—
1513	C₂³	—	158	2	no	—
1514	C₂³	—	158	2	no	—
1515	C₂³	—	158	2	no	—
1516	C₂³	—	158	2	no	—
1517	C₂³	—	158	2	no	—
1518	C₂³	—	158	2	no	—
1519	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1520	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1521	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1522	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1523	C₂³	C₂²×C₄×D₇₉	1	1	yes	characteristic
1524	Q₈	—	158	2	no	—
1525	Q₈	—	158	2	no	—
1526	Q₈	—	158	2	no	—
1527	Q₈	—	158	2	no	—
1528	D₄	—	2	2	no	—
1529	D₄	—	2	2	no	—
1530	D₄	—	4	1	no	—
1531	D₄	—	4	1	no	—
1532	D₄	—	316	1	no	—
1533	D₄	—	316	1	no	—
1534	D₄	—	316	1	no	—
1535	D₄	—	316	1	no	—
1536	D₄	—	316	1	no	—
1537	D₄	—	316	1	no	—
1538	D₄	—	158	2	no	—
1539	D₄	—	158	2	no	—
1540	D₄	—	158	2	no	—
1541	D₄	—	158	2	no	—
1542	D₄	—	158	2	no	—
1543	D₄	—	158	2	no	—
1544	D₄	—	158	2	no	—
1545	D₄	—	158	2	no	—
1546	D₄	—	158	2	no	—
1547	D₄	—	158	2	no	—
1548	D₄	—	158	2	no	—
1549	D₄	—	158	2	no	—
1550	D₄	—	158	2	no	—
1551	D₄	—	158	2	no	—
1552	D₄	—	158	2	no	—
1553	D₄	—	158	2	no	—
1554	D₄	—	158	2	no	—
1555	D₄	—	158	2	no	—
1556	C₂×C₄	—	2	2	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	2	no	—
1559	C₂×C₄	—	2	2	no	—
1560	C₂×C₄	—	2	2	no	—
1561	C₂×C₄	—	2	2	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	4	1	no	—
1571	C₂×C₄	—	4	1	no	—
1572	C₂×C₄	—	316	1	no	—
1573	C₂×C₄	—	316	1	no	—
1574	C₂×C₄	—	79	4	no	—
1575	C₂×C₄	—	79	1	no	—
1576	C₂×C₄	—	79	1	no	—
1577	C₂×C₄	—	79	4	no	—
1578	C₂×C₄	—	79	4	no	—
1579	C₂×C₄	—	79	2	no	—
1580	C₂×C₄	—	79	2	no	—
1581	C₂×C₄	—	79	2	no	—
1582	C₂×C₄	—	79	2	no	—
1583	C₂×C₄	—	79	1	no	—
1584	C₂×C₄	—	79	1	no	—
1585	C₂×C₄	—	79	1	no	—
1586	C₂×C₄	—	79	1	no	—
1587	C₂×C₄	—	79	1	no	—
1588	C₂×C₄	—	79	1	no	—
1589	C₂×C₄	—	79	1	no	—
1590	C₂×C₄	—	79	1	no	—
1591	C₂×C₄	—	158	2	no	—
1592	C₂×C₄	—	158	2	no	—
1593	C₂×C₄	—	158	2	no	—
1594	C₂×C₄	—	158	2	no	—
1595	C₂×C₄	—	158	2	no	—
1596	C₂×C₄	—	158	2	no	—
1597	C₂×C₄	—	158	2	no	—
1598	C₂×C₄	—	158	2	no	—
1599	C₂×C₄	—	158	2	no	—
1600	C₂×C₄	—	158	2	no	—
1601	C₂×C₄	—	158	2	no	—
1602	C₂×C₄	—	158	2	no	—
1603	C₂×C₄	—	158	2	no	—
1604	C₂×C₄	—	158	2	no	—
1605	C₂×C₄	—	158	2	no	—
1606	C₂×C₄	—	158	2	no	—
1607	C₂×C₄	—	158	2	no	—
1608	C₂×C₄	—	158	2	no	—
1609	C₂×C₄	—	158	1	no	—
1610	C₂×C₄	—	158	1	no	—
1611	C₂×C₄	—	158	1	no	—
1612	C₂×C₄	—	158	1	no	—
1613	C₂×C₄	—	158	1	no	—
1614	C₂×C₄	—	158	1	no	—
1615	C₂×C₄	—	158	1	no	—
1616	C₂×C₄	—	158	1	no	—
1617	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1618	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1619	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1620	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1621	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1622	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₄×D₇₉	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1627	C₂×C₄	#41×D₇₉	1	2	yes	—
1628	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1629	C₈	—	2	2	no	—
1630	C₈	—	2	2	no	—
1631	C₈	—	2	2	no	—
1632	C₈	—	79	4	no	—
1633	C₈	—	158	2	no	—
1634	C₈	—	158	2	no	—
1635	C₈	—	158	2	no	—
1636	C₈	C₂×D₄×D₇₉	1	4	yes	—
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	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	4	4	no	—
1651	C₂²	—	8	2	no	—
1652	C₂²	—	316	4	no	—
1653	C₂²	—	316	4	no	—
1654	C₂²	—	316	4	no	—
1655	C₂²	—	316	4	no	—
1656	C₂²	—	316	4	no	—
1657	C₂²	—	79	2	no	—
1658	C₂²	—	79	2	no	—
1659	C₂²	—	79	2	no	—
1660	C₂²	—	632	2	no	—
1661	C₂²	—	158	8	no	—
1662	C₂²	—	158	1	no	—
1663	C₂²	—	158	1	no	—
1664	C₂²	—	158	1	no	—
1665	C₂²	—	158	1	no	—
1666	C₂²	—	158	1	no	—
1667	C₂²	—	158	1	no	—
1668	C₂²	—	158	1	no	—
1669	C₂²	—	158	1	no	—
1670	C₂²	—	158	1	no	—
1671	C₂²	—	158	1	no	—
1672	C₂²	—	158	1	no	—
1673	C₂²	—	158	1	no	—
1674	C₂²	—	158	1	no	—
1675	C₂²	—	158	1	no	—
1676	C₂²	—	158	1	no	—
1677	C₂²	C₄×D₄×D₇₉	1	2	yes	—
1678	C₂²	#19099329	1	2	yes	complemented
1679	C₂²	C₂³×C₄×D₇₉	1	1	yes	characteristic
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	79	2	no	—
1689	C₄	—	79	2	no	—
1690	C₄	—	158	1	no	—
1691	C₄	—	158	1	no	—
1692	C₄	—	158	1	no	—
1693	C₄	—	158	1	no	—
1694	C₄	—	158	1	no	—
1695	C₄	—	158	1	no	—
1696	C₄	—	158	1	no	—
1697	C₄	—	158	1	no	—
1698	C₄	C₄×D₄×D₇₉	1	2	yes	—
1699	C₄	C₂²×D₄×D₇₉	1	1	yes	characteristic
1700	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	2	2	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	1	no	—
1705	C₂	—	4	1	no	—
1706	C₂	—	316	1	no	—
1707	C₂	—	316	1	no	—
1708	C₂	—	316	1	no	—
1709	C₂	—	158	2	no	—
1710	C₂	—	158	2	no	—
1711	C₂	—	158	2	no	—
1712	C₂	C₂×C₄×D₄×D₇₉	1	1	yes	characteristic
1713	C₂	#568×D₇₉	1	1	yes	characteristic
1714	C₂	C₂×#19099329	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₉
commutator, socle	C₂²×C₇₉	C₂⁴×C₄
Fitting	D₄×M₁₆×C₇₉	C₂
prime radical	C₂×#19099072	C₂
cosocle	C₂×C₄×C₇₉	C₂⁵
hypercenter	D₄×M₁₆	D₇₉
hypocenter	C₇₉	#60141
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×#19099329	C₂	semidirect
2. C₂²×M₁₆×D₇₉	C₂	semidirect
4. M₁₆×D₃₁₆	C₂	semidirect
5. D₄×#11929608	C₂	semidirect
6. #23772135	C₂	semidirect
7. M₁₆×C₂²⋊D₇₉	C₂	semidirect
8. M₁₆×C₂²⋊D₇₉	C₂	semidirect
9. #23772132	C₂	semidirect
10. #23772132	C₂	semidirect
11. #23772129	C₂	semidirect
12. #23772126	C₂	semidirect
13. #23772123	C₂	semidirect
14. #23772120	C₂	semidirect
15. #23772100	C₂	semidirect
16. #23772098	C₂	semidirect
17. #23772091	C₂	semidirect
18. #23772089	C₂	semidirect
19. #23771962	C₂	semidirect
20. #23771843	C₂	semidirect
21. #407×D₇₉	C₂	semidirect
22. #23771817	C₂	semidirect
23. D₄×M₁₆×C₇₉	C₂	semidirect
27. C₂×#14579169	C₂²	semidirect
28. C₂×#14579169	C₂²	semidirect
29. C₂×#14579167	C₂²	semidirect
30. C₂×#14579167	C₂²	semidirect
32. C₂²×#11929608	C₂²	semidirect
33. C₂²×#11929607	C₂²	semidirect
41. C₂×M₁₆×D₇₉	C₂²	semidirect
42. C₂×M₁₆×D₇₉	C₂²	semidirect
43. C₂×M₁₆×D₇₉	C₂²	semidirect
44. C₂×M₁₆×D₇₉	C₂²	semidirect
45. C₂²×C₈×D₇₉	C₂²	semidirect
74. #19098642	C₂²	semidirect
75. #19098641	C₂²	semidirect
76. #19098640	C₂²	semidirect
77. #19098639	C₂²	semidirect
78. #19098639	C₂²	semidirect
79. #19098638	C₂²	semidirect
80. #19098638	C₂²	semidirect
81. #19098637	C₂²	semidirect
82. #19098637	C₂²	semidirect
83. #19098636	C₂²	semidirect
84. #19098636	C₂²	semidirect
85. #19098635	C₂²	semidirect
86. #19098635	C₂²	semidirect
87. #19098634	C₂²	semidirect
88. #19098634	C₂²	semidirect
89. #19098633	C₂²	semidirect
90. #19098633	C₂²	semidirect
91. #19098632	C₂²	semidirect
92. #19098632	C₂²	semidirect
93. #19098631	C₂²	semidirect
94. #19098631	C₂²	semidirect
95. C₈×D₃₁₆	C₂²	semidirect
96. D₄×C₇₉⋊C₈	C₂²	semidirect
97. #19098628	C₂²	semidirect
98. C₈×C₂²⋊D₇₉	C₂²	semidirect
99. C₈×C₂²⋊D₇₉	C₂²	semidirect
100. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
101. (C₂²⋊D₇₉)⋊C₈	C₂²	semidirect
102. #19098588	C₂²	semidirect
103. #19098588	C₂²	semidirect
104. #19098588	C₂²	semidirect
105. #19098588	C₂²	semidirect
106. #19098587	C₂²	semidirect
107. #19098586	C₂²	semidirect
108. #19098586	C₂²	semidirect
109. #19098528	C₂²	semidirect
110. #19098528	C₂²	semidirect
111. #19098528	C₂²	semidirect
112. #19098528	C₂²	semidirect
114. #19098527	C₂²	semidirect
117. #19098526	C₂²	semidirect
118. #19098526	C₂²	semidirect
119. #19098525	C₂²	semidirect
120. #19098525	C₂²	semidirect
121. C₂²⋊C₈×D₇₉	C₂²	semidirect
122. C₂²⋊C₈×D₇₉	C₂²	semidirect
123. #19098520	C₂²	semidirect
124. #19098520	C₂²	semidirect
125. #19098517	C₂²	semidirect
126. #19098517	C₂²	semidirect
127. C₄×#11929608	C₂²	semidirect
128. M₁₆×Dic₇₉	C₂²	semidirect
129. M₁₆×Dic₇₉	C₂²	semidirect
131. C₂²×M₁₆×C₇₉	C₂²	semidirect
133. #436×C₇₉	C₂²	semidirect
134. #435×C₇₉	C₂²	semidirect
135. #435×C₇₉	C₂²	semidirect
136. C₈×D₄×C₇₉	C₂²	semidirect
137. #423×C₇₉	C₂²	semidirect
139. #407×C₇₉	C₂²	semidirect
140. C₄×M₁₆×C₇₉	C₂²	semidirect
186. C₂×#11929608	C₂³	semidirect
194. C₂×#11929607	C₂³	semidirect
195. C₂×#11929607	C₂³	semidirect
205. M₁₆×D₇₉	D₄	semidirect
207. C₂²×C₇₉⋊C₈	C₂³	semidirect
215. C₂×C₈×D₇₉	C₂³	semidirect
216. C₂×C₈×D₇₉	C₂³	semidirect
327. C₄⋊(C₇₉⋊C₈)	C₂³	semidirect
328. C₄⋊(C₇₉⋊C₈)	C₂³	semidirect
329. Dic₇₉⋊C₈	C₂³	semidirect
330. Dic₇₉⋊C₈	C₂³	semidirect
331. Dic₇₉⋊C₈	C₂³	semidirect
332. Dic₇₉⋊C₈	C₂³	semidirect
335. C₂²⋊(C₇₉⋊C₈)	C₂³	semidirect
336. C₂²⋊(C₇₉⋊C₈)	C₂³	semidirect
341. (C₂×D₇₉)⋊C₈	C₂³	semidirect
342. (C₂×D₇₉)⋊C₈	C₂³	semidirect
343. (C₂×D₇₉)⋊C₈	C₂³	semidirect
344. (C₂×D₇₉)⋊C₈	C₂³	semidirect
345. #14579072	C₂³	semidirect
346. #14579071	C₂³	semidirect
347. #14579071	C₂³	semidirect
348. C₄×C₇₉⋊C₈	C₂³	semidirect
349. C₈×Dic₇₉	C₂³	semidirect
350. C₈×Dic₇₉	C₂³	semidirect
361. C₂×M₁₆×C₇₉	C₂³	semidirect
363. C₂²×C₈×C₇₉	C₂³	semidirect
376. C₄⋊C₈×C₇₉	C₂³	semidirect
377. C₄⋊C₈×C₇₉	C₂³	semidirect
380. C₂²⋊C₈×C₇₉	C₂³	semidirect
381. C₂²⋊C₈×C₇₉	C₂³	semidirect
382. #97×C₇₉	C₂³	semidirect
383. C₄×C₈×C₇₉	C₂³	semidirect
504. #11929607	C₂×D₄	semidirect
518. C₈×D₇₉	C₂×D₄	semidirect
795. C₂²×C₇₉	#568	semidirect
821. C₂×D₇₉	#568	semidirect
868. D₄×M₁₆	D₇₉	semidirect
881. C₇₉	#60141	semidirect
904. C₂²×M₁₆	C₂×D₇₉	semidirect
942. #436	C₂×D₇₉	semidirect
957. #435	C₂×D₇₉	semidirect
958. #435	C₂×D₇₉	semidirect
966. C₈×D₄	C₂×D₇₉	semidirect
974. #423	C₂×D₇₉	semidirect
988. #407	C₂×D₇₉	semidirect
998. C₄×M₁₆	C₂×D₇₉	semidirect
1074. C₂×M₁₆	C₂²×D₇₉	semidirect
1087. C₂²×C₈	C₂²×D₇₉	semidirect
1216. C₄⋊C₈	C₂²×D₇₉	semidirect
1217. C₄⋊C₈	C₂²×D₇₉	semidirect
1232. C₂²⋊C₈	C₂²×D₇₉	semidirect
1233. C₂²⋊C₈	C₂²×D₇₉	semidirect
1237. #97	C₂²×D₇₉	semidirect
1241. C₄×C₈	C₂²×D₇₉	semidirect
1678. C₂²	#19099329	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19099329	2
C₂²×M₁₆×D₇₉	2
C₂×#19099072	2
M₁₆×D₃₁₆	2
D₄×#11929608	2
#23772135	2
M₁₆×C₂²⋊D₇₉	2
#23772132	2
#23772129	2
#23772126	2
#23772123	2
#23772120	2
#23772100	2
#23772098	2
#23772091	2
#23772089	2
#23771962	2
#23771843	2
#407×D₇₉	2
#23771817	2
D₄×M₁₆×C₇₉	2
#60141	79