Subgroups — #16727714

Order 3328.

2242 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719252	C₂	1	1	yes	maximal, characteristic
2	#13123895	C₂	1	2	yes	maximal, complemented
3	#13123893	C₂	1	2	yes	maximal, complemented
4	#13123889	C₂	1	2	yes	maximal, complemented
5	#13123887	C₂	1	2	yes	maximal, complemented
6	#13123885	C₂	1	2	yes	maximal, complemented
7	#13123883	C₂	1	2	yes	maximal, complemented
8	#13123880	C₂	1	2	yes	maximal, complemented
9	#13123878	C₂	1	2	yes	maximal, complemented
10	M₁₆×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#6099	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123571	C₂	1	1	yes	maximal, characteristic, complemented
13	M₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
14	M₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123568	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123568	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123473	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123472	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123280	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123279	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11718787	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#407	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
29	C₂×#88193	C₄	1	1	yes	characteristic
30	C₂×#88191	C₄	1	1	yes	characteristic
31	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×#6099	C₂²	1	1	yes	characteristic
34	C₂²×#6099	C₂²	1	1	yes	characteristic, complemented
35	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
39	#11719252	C₄	1	1	yes	characteristic
40	#11719252	C₄	1	1	yes	characteristic
41	#11719252	C₄	1	1	yes	characteristic
42	#11719252	C₄	1	1	yes	characteristic
43	#11719252	C₄	1	1	yes	characteristic
44	#11719252	C₄	1	1	yes	characteristic
45	#11719252	C₄	1	1	yes	characteristic
46	#11719252	C₄	1	1	yes	characteristic
47	#11719252	C₂²	1	1	yes	characteristic
48	#11719252	C₂²	1	1	yes	characteristic
49	#11719252	C₂²	1	1	yes	characteristic
50	#11719252	C₂²	1	1	yes	characteristic
51	#11719252	C₂²	1	1	yes	characteristic
52	#11719252	C₂²	1	1	yes	characteristic
53	#11719252	C₂²	1	1	yes	characteristic
54	#11719252	C₂²	1	1	yes	characteristic
55	C₂×#88150	C₄	1	1	yes	characteristic
56	C₂×#88148	C₄	1	1	yes	characteristic
57	C₂×#88138	C₄	1	1	yes	characteristic
58	C₂×#88137	C₄	1	1	yes	characteristic
59	C₂×#88136	C₄	1	1	yes	characteristic
60	C₂×#88132	C₄	1	1	yes	characteristic
61	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
62	C₂×#88126	C₂²	1	1	yes	characteristic
63	C₁₃×#436	C₂²	1	2	yes	complemented
64	C₁₃×#435	C₂²	1	2	yes	complemented
65	C₁₃×#435	C₂²	1	2	yes	complemented
66	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
67	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#407	C₂²	1	1	yes	characteristic
69	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
70	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
71	#11718868	C₂²	1	1	yes	characteristic
72	#11718868	C₂²	1	1	yes	characteristic, complemented
73	#11718790	C₂²	1	2	yes	complemented
74	#11718790	C₂²	1	2	yes	complemented
75	#11718789	C₂²	1	2	yes	complemented
76	#11718789	C₂²	1	2	yes	complemented
77	#11718788	C₂²	1	2	yes	complemented
78	#11718788	C₂²	1	2	yes	complemented
79	#11718787	C₂²	1	1	yes	characteristic
80	#11718787	C₂²	1	1	yes	characteristic
81	#11718787	C₂²	1	1	yes	characteristic
82	#11718787	C₂²	1	1	yes	characteristic
83	#11718787	C₂²	1	1	yes	characteristic
84	#11718787	C₂²	1	1	yes	characteristic
85	#11718787	C₂²	1	2	yes	complemented
86	#11718787	C₂²	1	2	yes	complemented
87	#11718787	C₂²	1	1	yes	characteristic, complemented
88	#11718787	C₂²	1	1	yes	characteristic, complemented
89	#11718779	C₂²	1	1	yes	characteristic, complemented
90	#11718779	C₂²	1	1	yes	characteristic, complemented
91	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
92	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
93	#11718772	C₂²	1	2	yes	complemented
94	#11718772	C₂²	1	2	yes	complemented
95	#11718771	C₂²	1	2	yes	complemented
96	#11718771	C₂²	1	2	yes	complemented
97	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
98	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
99	C₂×#88060	C₂²	1	2	yes	complemented
100	C₂×#88060	C₂²	1	2	yes	complemented
101	#11718673	C₂²	1	2	yes	complemented
102	#11718672	C₂²	1	2	yes	complemented
103	#11718672	C₂²	1	2	yes	complemented
104	D₄×#1055	C₂²	1	2	yes	complemented
105	#11718585	C₂²	1	1	yes	characteristic, complemented
106	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
107	#11718501	C₂²	1	2	yes	complemented
108	#11718501	C₂²	1	2	yes	complemented
109	#11718501	C₂²	1	2	yes	complemented
110	#11718501	C₂²	1	2	yes	complemented
111	#11718499	C₂²	1	2	yes	complemented
112	#11718497	C₂²	1	2	yes	complemented
113	#11718497	C₂²	1	2	yes	complemented
114	#11718495	C₂²	1	2	yes	complemented
115	#11718391	C₂²	1	2	yes	complemented
116	#11718391	C₂²	1	2	yes	complemented
117	#11718390	C₂²	1	2	yes	complemented
118	#11718390	C₂²	1	2	yes	complemented
119	#11718389	C₂²	1	2	yes	complemented
120	#11718389	C₂²	1	2	yes	complemented
121	#11718388	C₂²	1	2	yes	complemented
122	#11718388	C₂²	1	2	yes	complemented
123	#11718388	C₂²	1	2	yes	complemented
124	#11718388	C₂²	1	2	yes	complemented
125	#11718387	C₂²	1	2	yes	complemented
126	#11718387	C₂²	1	2	yes	complemented
127	#11718386	C₂²	1	2	yes	complemented
128	#11718386	C₂²	1	2	yes	complemented
129	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
130	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
131	#11718370	C₂²	1	2	yes	complemented
132	#11718370	C₂²	1	2	yes	complemented
133	#11718367	C₂²	1	2	yes	complemented
134	#11718367	C₂²	1	2	yes	complemented
135	#11718351	C₂²	1	2	yes	complemented
136	#11718351	C₂²	1	2	yes	complemented
137	#11718349	C₂²	1	2	yes	complemented
138	C₈×D₅₂	C₂²	1	2	yes	complemented
139	C₂⁴×D₁₃	C₂×C₄	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
144	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
147	C₂³×Dic₁₃	C₂×C₄	1	1	yes	characteristic
148	C₂×#6127	—	4	2	no	—
149	C₂×#6127	—	4	2	no	—
150	C₂×#6127	C₂×C₄	1	1	yes	characteristic
151	C₂×#6127	C₂×C₄	1	1	yes	characteristic
152	C₂×#6127	C₂×C₄	1	1	yes	characteristic
153	C₂×#6127	C₂×C₄	1	1	yes	characteristic
154	C₂×#6127	C₂³	1	1	yes	characteristic
155	C₂×#6127	C₂³	1	1	yes	characteristic
156	C₂×#6127	C₂³	1	1	yes	characteristic
157	C₂×#6127	C₂³	1	1	yes	characteristic
158	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
159	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
160	C₂²×C₄×D₁₃	—	4	2	no	—
161	C₂²×C₄×D₁₃	—	4	2	no	—
162	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
167	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
168	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
175	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
176	C₂×C₁₃×M₁₆	—	4	2	no	—
177	C₂×C₁₃×M₁₆	—	4	2	no	—
178	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
183	C₂×C₁₃×M₁₆	C₂³	1	2	yes	complemented
184	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
185	C₂²×C₈×C₁₃	C₂³	1	2	yes	complemented
186	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
187	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
188	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
189	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
190	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
195	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
196	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
197	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
199	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
200	#88193	C₂×C₄	1	1	yes	characteristic
201	#88193	C₂×C₄	1	1	yes	characteristic
202	#88193	C₂×C₄	1	1	yes	characteristic
203	#88193	C₂×C₄	1	1	yes	characteristic
204	#88193	C₂×C₄	1	1	yes	characteristic
205	#88193	C₂×C₄	1	1	yes	characteristic
206	#88193	C₂×C₄	1	1	yes	characteristic
207	#88193	C₂×C₄	1	1	yes	characteristic
208	#88191	C₂×C₄	1	1	yes	characteristic
209	#88191	C₂×C₄	1	1	yes	characteristic
210	#88191	C₂×C₄	1	1	yes	characteristic
211	#88191	C₂×C₄	1	1	yes	characteristic
212	#88191	C₂×C₄	1	1	yes	characteristic
213	#88191	C₂×C₄	1	1	yes	characteristic
214	#88191	C₂×C₄	1	1	yes	characteristic
215	#88191	C₂×C₄	1	1	yes	characteristic
216	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
217	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
218	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
219	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
220	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
221	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
222	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
223	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
224	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
225	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
226	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
227	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
228	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
229	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
230	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
231	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂×C₄	1	1	yes	characteristic
233	C₂×#6103	C₂×C₄	1	1	yes	characteristic
234	C₂×#6103	C₂×C₄	1	1	yes	characteristic
235	C₂×#6103	C₂×C₄	1	1	yes	characteristic
236	C₂×#6103	C₂×C₄	1	1	yes	characteristic
237	C₂×#6103	C₂×C₄	1	1	yes	characteristic
238	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
239	C₂×#6101	C₂×C₄	1	1	yes	characteristic
240	C₂×#6101	C₂×C₄	1	1	yes	characteristic
241	C₂×#6101	C₂×C₄	1	1	yes	characteristic
242	C₂×#6101	C₂×C₄	1	1	yes	characteristic
243	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×#6099	—	4	2	no	—
245	C₂×#6099	—	4	2	no	—
246	C₂×#6099	C₂³	1	1	yes	characteristic
247	C₂×#6099	C₂³	1	1	yes	characteristic
248	C₂×#6099	C₂³	1	1	yes	characteristic
249	C₂×#6099	C₂³	1	1	yes	characteristic
250	C₂×#6099	C₂³	1	2	yes	—
251	C₂×#6099	C₂³	1	2	yes	complemented
252	C₂²×#1055	C₂³	1	2	yes	—
253	C₂²×#1055	C₂³	1	2	yes	complemented
254	M₁₆×D₁₃	—	4	2	no	—
255	M₁₆×D₁₃	—	4	2	no	—
256	M₁₆×D₁₃	—	4	2	no	—
257	M₁₆×D₁₃	—	4	2	no	—
258	C₂×#6094	C₂³	1	2	yes	—
259	C₂×#6094	C₂³	1	2	yes	—
260	C₂×#6094	C₂³	1	2	yes	complemented
261	C₂×#6094	C₂³	1	2	yes	complemented
262	C₂×C₈×D₁₃	C₂³	1	2	yes	—
263	C₂×C₈×D₁₃	C₂³	1	2	yes	—
264	C₂×C₈×D₁₃	C₂³	1	2	yes	complemented
265	C₂×C₈×D₁₃	C₂³	1	2	yes	complemented
266	#88150	C₂×C₄	1	1	yes	characteristic
267	#88150	C₂×C₄	1	1	yes	characteristic
268	#88150	C₂×C₄	1	1	yes	characteristic
269	#88150	C₂×C₄	1	1	yes	characteristic
270	#88150	C₂×C₄	1	1	yes	characteristic
271	#88150	C₂×C₄	1	1	yes	characteristic
272	#88150	C₂×C₄	1	1	yes	characteristic
273	#88150	C₂×C₄	1	1	yes	characteristic
274	#88148	C₂×C₄	1	1	yes	characteristic
275	#88148	C₂×C₄	1	1	yes	characteristic
276	#88148	C₂×C₄	1	1	yes	characteristic
277	#88148	C₂×C₄	1	1	yes	characteristic
278	#88148	C₂×C₄	1	1	yes	characteristic
279	#88148	C₂×C₄	1	1	yes	characteristic
280	#88148	C₂×C₄	1	1	yes	characteristic
281	#88148	C₂×C₄	1	1	yes	characteristic
282	#88138	C₂×C₄	1	1	yes	characteristic
283	#88138	C₂×C₄	1	1	yes	characteristic
284	#88138	C₂×C₄	1	1	yes	characteristic
285	#88138	C₂×C₄	1	1	yes	characteristic
286	#88138	C₂×C₄	1	1	yes	characteristic
287	#88138	C₂×C₄	1	1	yes	characteristic
288	#88138	C₂×C₄	1	1	yes	characteristic
289	#88138	C₂×C₄	1	1	yes	characteristic
290	#88137	C₂×C₄	1	1	yes	characteristic
291	#88137	C₂×C₄	1	1	yes	characteristic
292	#88137	C₂×C₄	1	1	yes	characteristic
293	#88137	C₂×C₄	1	1	yes	characteristic
294	#88137	C₂×C₄	1	1	yes	characteristic
295	#88137	C₂×C₄	1	1	yes	characteristic
296	#88137	C₂×C₄	1	1	yes	characteristic
297	#88137	C₂×C₄	1	1	yes	characteristic
298	#88136	C₂×C₄	1	1	yes	characteristic
299	#88136	C₂×C₄	1	1	yes	characteristic
300	#88136	C₂×C₄	1	1	yes	characteristic
301	#88136	C₂×C₄	1	1	yes	characteristic
302	#88136	C₂×C₄	1	1	yes	characteristic
303	#88136	C₂×C₄	1	1	yes	characteristic
304	#88136	C₂×C₄	1	1	yes	characteristic
305	#88136	C₂×C₄	1	1	yes	characteristic
306	#88132	C₂×C₄	1	1	yes	characteristic
307	#88132	C₂×C₄	1	1	yes	characteristic
308	#88132	C₂×C₄	1	1	yes	characteristic
309	#88132	C₂×C₄	1	1	yes	characteristic
310	#88132	C₂×C₄	1	1	yes	characteristic
311	#88132	C₂×C₄	1	1	yes	characteristic
312	#88132	C₂×C₄	1	1	yes	characteristic
313	#88132	C₂×C₄	1	1	yes	characteristic
314	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
315	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
316	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
317	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
318	C₄×D₅₂	C₂³	1	1	yes	characteristic
319	C₄×D₅₂	C₂³	1	1	yes	characteristic
320	C₄×D₅₂	C₂³	1	1	yes	characteristic
321	C₄×D₅₂	C₂³	1	1	yes	characteristic
322	#88126	C₂×C₄	1	1	yes	characteristic
323	#88126	C₂×C₄	1	1	yes	characteristic
324	#88126	C₂×C₄	1	1	yes	characteristic
325	#88126	C₂×C₄	1	1	yes	characteristic
326	#88126	C₂³	1	1	yes	characteristic
327	#88126	C₂³	1	1	yes	characteristic
328	#88126	C₂³	1	1	yes	characteristic
329	#88126	C₂³	1	1	yes	characteristic
330	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
331	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
332	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	complemented
336	C₁₃×#97	C₂³	1	2	yes	complemented
337	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
338	C₂²⋊#1055	C₂³	1	2	yes	—
339	C₂²⋊#1055	C₂³	1	2	yes	—
340	C₂²⋊#1055	C₂³	1	2	yes	complemented
341	C₂²⋊#1055	C₂³	1	2	yes	complemented
342	#88060	C₂³	1	2	yes	—
343	#88060	C₂³	1	2	yes	—
344	#88060	C₂³	1	2	yes	—
345	#88060	C₂³	1	2	yes	—
346	#88060	C₂³	1	2	yes	—
347	#88060	C₂³	1	2	yes	—
348	#88060	C₂³	1	2	yes	—
349	#88060	C₂³	1	2	yes	—
350	#88060	C₂³	1	2	yes	—
351	#88060	C₂³	1	2	yes	—
352	#88060	C₂³	1	2	yes	—
353	#88060	C₂³	1	2	yes	—
354	#88060	C₂³	1	2	yes	complemented
355	#88060	C₂³	1	2	yes	complemented
356	#88060	C₂³	1	2	yes	complemented
357	#88060	C₂³	1	2	yes	complemented
358	#88055	C₂³	1	2	yes	complemented
359	#88055	C₂³	1	2	yes	complemented
360	#88054	C₂³	1	2	yes	complemented
361	#88054	C₂³	1	2	yes	complemented
362	#88054	C₂³	1	2	yes	complemented
363	#88054	C₂³	1	2	yes	complemented
364	C₈×Dic₁₃	C₂³	1	2	yes	complemented
365	C₈×Dic₁₃	C₂³	1	2	yes	complemented
366	C₄⋊#1055	C₂³	1	2	yes	complemented
367	C₄⋊#1055	C₂³	1	2	yes	complemented
368	#88043	C₂³	1	2	yes	complemented
369	C₄×#1055	C₂³	1	2	yes	complemented
370	#60231	—	13	1	no	maximal, Sylow
371	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
373	C₂³×D₁₃	—	4	2	no	—
374	C₂³×D₁₃	—	4	2	no	—
375	C₂³×D₁₃	—	4	2	no	—
376	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
377	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
379	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
380	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
381	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
382	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₂×D₄×C₁₃	—	4	2	no	—
384	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
386	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
387	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₁₃	—	4	2	no	—
406	C₂×C₂²⋊D₁₃	—	4	2	no	—
407	C₂×C₂²⋊D₁₃	—	4	2	no	—
408	C₂×C₂²⋊D₁₃	—	4	2	no	—
409	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
424	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
425	C₂²×Dic₁₃	—	4	2	no	—
426	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
432	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
435	#6127	—	4	2	no	—
436	#6127	—	4	2	no	—
437	#6127	—	4	2	no	—
438	#6127	—	4	2	no	—
439	#6127	—	4	1	no	—
440	#6127	—	4	1	no	—
441	#6127	—	4	1	no	—
442	#6127	—	4	1	no	—
443	#6127	—	4	1	no	—
444	#6127	—	4	1	no	—
445	#6127	—	4	1	no	—
446	#6127	—	4	1	no	—
447	C₂×D₅₂	—	4	2	no	—
448	C₂×D₅₂	—	4	2	no	—
449	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
450	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
451	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
452	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
453	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
454	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
455	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
456	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	2	2	no	—
461	C₂×C₄×D₁₃	—	2	2	no	—
462	C₂×C₄×D₁₃	—	2	2	no	—
463	C₂×C₄×D₁₃	—	4	2	no	—
464	C₂×C₄×D₁₃	—	4	2	no	—
465	C₂×C₄×D₁₃	—	4	2	no	—
466	C₂×C₄×D₁₃	—	4	2	no	—
467	C₂×C₄×D₁₃	—	4	1	no	—
468	C₂×C₄×D₁₃	—	4	1	no	—
469	C₂×C₄×D₁₃	—	4	1	no	—
470	C₂×C₄×D₁₃	—	4	1	no	—
471	C₂×C₄×D₁₃	—	4	1	no	—
472	C₂×C₄×D₁₃	—	4	1	no	—
473	C₂×C₄×D₁₃	—	4	1	no	—
474	C₂×C₄×D₁₃	—	4	1	no	—
475	C₂×C₄×D₁₃	—	4	2	no	—
476	C₂×C₄×D₁₃	—	4	2	no	—
477	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
478	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
479	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
482	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
483	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Dic₂₆	—	4	2	no	—
498	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
499	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
500	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
501	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
502	C₁₃×M₁₆	—	2	2	no	—
503	C₁₃×M₁₆	—	2	2	no	—
504	C₁₃×M₁₆	—	2	2	no	—
505	C₁₃×M₁₆	—	2	2	no	—
506	C₁₃×M₁₆	—	4	2	no	—
507	C₁₃×M₁₆	—	4	2	no	—
508	C₂×C₈×C₁₃	—	4	2	no	—
509	C₂×C₈×C₁₃	—	4	2	no	—
510	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
511	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
512	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
513	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
514	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
518	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
519	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
520	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
521	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
527	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
528	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
534	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
535	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
537	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
538	#6103	C₂²×C₄	1	1	yes	characteristic
539	#6103	C₂²×C₄	1	1	yes	characteristic
540	#6103	C₂²×C₄	1	1	yes	characteristic
541	#6103	C₂²×C₄	1	1	yes	characteristic
542	#6103	C₂²×C₄	1	1	yes	characteristic
543	#6103	C₂²×C₄	1	1	yes	characteristic
544	#6103	C₂²×C₄	1	1	yes	characteristic
545	#6103	C₂²×C₄	1	1	yes	characteristic
546	#6103	C₂²×C₄	1	1	yes	characteristic
547	#6103	C₂²×C₄	1	1	yes	characteristic
548	#6103	C₂²×C₄	1	1	yes	characteristic
549	#6103	C₂²×C₄	1	1	yes	characteristic
550	#6103	C₂²×C₄	1	1	yes	characteristic
551	#6103	C₂²×C₄	1	1	yes	characteristic
552	#6103	C₂²×C₄	1	1	yes	characteristic
553	#6103	C₂²×C₄	1	1	yes	characteristic
554	#6103	C₂²×C₄	1	1	yes	characteristic
555	#6103	C₂²×C₄	1	1	yes	characteristic
556	#6103	C₂²×C₄	1	1	yes	characteristic
557	#6103	C₂²×C₄	1	1	yes	characteristic
558	#6103	C₂²×C₄	1	1	yes	characteristic
559	#6103	C₂²×C₄	1	1	yes	characteristic
560	#6103	C₂²×C₄	1	1	yes	characteristic
561	#6103	C₂²×C₄	1	1	yes	characteristic
562	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
563	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
564	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
565	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
566	#6101	C₂²×C₄	1	1	yes	characteristic
567	#6101	C₂²×C₄	1	1	yes	characteristic
568	#6101	C₂²×C₄	1	1	yes	characteristic
569	#6101	C₂²×C₄	1	1	yes	characteristic
570	#6101	C₂²×C₄	1	1	yes	characteristic
571	#6101	C₂²×C₄	1	1	yes	characteristic
572	#6101	C₂²×C₄	1	1	yes	characteristic
573	#6101	C₂²×C₄	1	1	yes	characteristic
574	#6101	C₂²×C₄	1	1	yes	characteristic
575	#6101	C₂²×C₄	1	1	yes	characteristic
576	#6101	C₂²×C₄	1	1	yes	characteristic
577	#6101	C₂²×C₄	1	1	yes	characteristic
578	#6101	C₂²×C₄	1	1	yes	characteristic
579	#6101	C₂²×C₄	1	1	yes	characteristic
580	#6101	C₂²×C₄	1	1	yes	characteristic
581	#6101	C₂²×C₄	1	1	yes	characteristic
582	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
583	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
584	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
585	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
586	#6099	—	2	2	no	—
587	#6099	—	2	2	no	—
588	#6099	—	2	2	no	—
589	#6099	—	2	2	no	—
590	#6099	—	4	2	no	—
591	#6099	—	4	2	no	—
592	C₂×#1055	—	4	2	no	—
593	C₂×#1055	—	4	2	no	—
594	C₂×#1055	C₂⁴	1	2	yes	—
595	C₂×#1055	C₂⁴	1	2	yes	—
596	C₂×#1055	C₂⁴	1	2	yes	—
597	C₂×#1055	C₂⁴	1	2	yes	—
598	#6094	—	4	2	no	—
599	#6094	—	4	2	no	—
600	#6094	—	4	2	no	—
601	#6094	—	4	2	no	—
602	C₈×D₁₃	—	4	2	no	—
603	C₈×D₁₃	—	4	2	no	—
604	C₈×D₁₃	—	4	2	no	—
605	C₈×D₁₃	—	4	2	no	—
606	C₂×#525	—	13	1	no	—
607	#2978	—	13	2	no	—
608	#2978	—	13	2	no	—
609	#2977	—	13	2	no	—
610	#2977	—	13	2	no	—
611	#2976	—	13	2	no	—
612	#2976	—	13	2	no	—
613	#2976	—	13	2	no	—
614	#2976	—	13	2	no	—
615	D₄×M₁₆	—	13	1	no	—
616	D₄×M₁₆	—	13	1	no	—
617	D₄×M₁₆	—	13	1	no	—
618	D₄×M₁₆	—	13	1	no	—
619	D₄×M₁₆	—	13	1	no	—
620	D₄×M₁₆	—	13	1	no	—
621	D₄×M₁₆	—	13	1	no	—
622	D₄×M₁₆	D₁₃	1	1	yes	characteristic, complemented
623	#2921	—	13	1	no	—
624	#2921	—	13	1	no	—
625	#2879	—	13	1	no	—
626	#2879	—	13	1	no	—
627	C₂×#407	—	13	1	no	—
628	C₂×#407	—	13	1	no	—
629	C₂³×C₁₃	—	2	2	no	—
630	C₂³×C₁₃	—	2	2	no	—
631	C₂³×C₁₃	—	2	2	no	—
632	C₂³×C₁₃	—	4	1	no	—
633	C₂³×C₁₃	—	4	1	no	—
634	C₂³×C₁₃	—	4	1	no	—
635	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
636	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
637	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
638	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
639	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
640	C₂²×D₁₃	—	2	2	no	—
641	C₂²×D₁₃	—	2	2	no	—
642	C₂²×D₁₃	—	2	2	no	—
643	C₂²×D₁₃	—	2	2	no	—
644	C₂²×D₁₃	—	2	2	no	—
645	C₂²×D₁₃	—	2	2	no	—
646	C₂²×D₁₃	—	2	2	no	—
647	C₂²×D₁₃	—	2	2	no	—
648	C₂²×D₁₃	—	4	1	no	—
649	C₂²×D₁₃	—	4	1	no	—
650	C₂²×D₁₃	—	4	1	no	—
651	C₂²×D₁₃	—	4	1	no	—
652	C₂²×D₁₃	—	4	1	no	—
653	C₂²×D₁₃	—	4	1	no	—
654	C₂²×D₁₃	—	4	1	no	—
655	C₂²×D₁₃	—	4	1	no	—
656	C₂²×D₁₃	—	4	1	no	—
657	C₂²×D₁₃	—	4	1	no	—
658	C₂²×D₁₃	—	4	1	no	—
659	C₂²×D₁₃	—	4	1	no	—
660	C₂²×D₁₃	—	4	1	no	—
661	C₂²×D₁₃	—	4	16	no	—
662	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
663	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
664	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
665	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
666	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
667	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
668	D₄×C₁₃	—	2	2	no	—
669	D₄×C₁₃	—	2	2	no	—
670	D₄×C₁₃	—	4	1	no	—
671	D₄×C₁₃	—	4	1	no	—
672	C₂×C₄×C₁₃	—	2	2	no	—
673	C₂×C₄×C₁₃	—	2	2	no	—
674	C₂×C₄×C₁₃	—	2	2	no	—
675	C₂×C₄×C₁₃	—	2	2	no	—
676	C₂×C₄×C₁₃	—	2	2	no	—
677	C₂×C₄×C₁₃	—	2	2	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	4	1	no	—
687	C₂×C₄×C₁₃	—	4	1	no	—
688	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
696	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
697	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
698	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
699	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
700	C₂²⋊D₁₃	—	2	2	no	—
701	C₂²⋊D₁₃	—	2	2	no	—
702	C₂²⋊D₁₃	—	2	2	no	—
703	C₂²⋊D₁₃	—	2	2	no	—
704	C₂²⋊D₁₃	—	4	1	no	—
705	C₂²⋊D₁₃	—	4	1	no	—
706	C₂²⋊D₁₃	—	4	1	no	—
707	C₂²⋊D₁₃	—	4	1	no	—
708	C₂²⋊D₁₃	—	4	1	no	—
709	C₂²⋊D₁₃	—	4	1	no	—
710	C₂²⋊D₁₃	—	4	1	no	—
711	C₂²⋊D₁₃	—	4	1	no	—
712	C₂²⋊D₁₃	—	4	1	no	—
713	C₂²⋊D₁₃	—	4	1	no	—
714	C₂²⋊D₁₃	—	4	1	no	—
715	C₂²⋊D₁₃	—	4	1	no	—
716	C₂×Dic₁₃	—	2	2	no	—
717	C₂×Dic₁₃	—	2	2	no	—
718	C₂×Dic₁₃	—	2	2	no	—
719	C₂×Dic₁₃	—	4	1	no	—
720	C₂×Dic₁₃	—	4	1	no	—
721	C₂×Dic₁₃	—	4	1	no	—
722	C₂×Dic₁₃	—	4	1	no	—
723	C₂×Dic₁₃	—	4	1	no	—
724	C₂×Dic₁₃	—	4	1	no	—
725	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
729	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
730	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
731	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
732	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
733	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
734	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
735	D₅₂	—	2	2	no	—
736	D₅₂	—	2	2	no	—
737	D₅₂	—	4	1	no	—
738	D₅₂	—	4	1	no	—
739	D₅₂	—	4	1	no	—
740	D₅₂	—	4	1	no	—
741	D₅₂	—	4	1	no	—
742	D₅₂	—	4	1	no	—
743	C₄×D₁₃	—	2	2	no	—
744	C₄×D₁₃	—	2	2	no	—
745	C₄×D₁₃	—	2	2	no	—
746	C₄×D₁₃	—	2	2	no	—
747	C₄×D₁₃	—	2	2	no	—
748	C₄×D₁₃	—	2	2	no	—
749	C₄×D₁₃	—	2	1	no	—
750	C₄×D₁₃	—	2	1	no	—
751	C₄×D₁₃	—	2	1	no	—
752	C₄×D₁₃	—	2	1	no	—
753	C₄×D₁₃	—	2	1	no	—
754	C₄×D₁₃	—	2	1	no	—
755	C₄×D₁₃	—	2	1	no	—
756	C₄×D₁₃	—	2	1	no	—
757	C₄×D₁₃	—	2	1	no	—
758	C₄×D₁₃	—	2	1	no	—
759	C₄×D₁₃	—	2	1	no	—
760	C₄×D₁₃	—	2	1	no	—
761	C₄×D₁₃	—	4	1	no	—
762	C₄×D₁₃	—	4	1	no	—
763	C₄×D₁₃	—	4	1	no	—
764	C₄×D₁₃	—	4	1	no	—
765	C₄×D₁₃	—	4	1	no	—
766	C₄×D₁₃	—	4	1	no	—
767	C₄×D₁₃	—	4	1	no	—
768	C₄×D₁₃	—	4	1	no	—
769	Dic₂₆	—	4	1	no	—
770	Dic₂₆	—	4	1	no	—
771	Dic₂₆	—	4	1	no	—
772	Dic₂₆	—	4	1	no	—
773	C₈×C₁₃	—	2	2	no	—
774	C₈×C₁₃	—	2	2	no	—
775	C₈×C₁₃	—	2	2	no	—
776	C₈×C₁₃	—	2	2	no	—
777	#1055	—	2	2	no	—
778	#1055	—	2	2	no	—
779	#1055	—	2	2	no	—
780	#1055	—	2	2	no	—
781	C₂²×#41	—	13	1	no	—
782	C₂⁴×C₄	—	13	1	no	—
783	C₂²×M₁₆	—	13	1	no	—
784	C₂²×M₁₆	—	13	1	no	—
785	C₂²×M₁₆	—	13	1	no	—
786	C₂²×M₁₆	—	13	1	no	—
787	C₂²×M₁₆	—	13	1	no	—
788	C₂²×M₁₆	—	13	1	no	—
789	C₂²×M₁₆	C₂×D₁₃	1	1	yes	characteristic
790	C₂²×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
791	#525	—	13	1	no	—
792	#525	—	13	1	no	—
793	#525	—	13	1	no	—
794	#525	—	13	1	no	—
795	#525	—	13	1	no	—
796	#525	—	13	1	no	—
797	#525	—	13	1	no	—
798	#525	—	13	1	no	—
799	#525	—	13	1	no	—
800	#525	—	13	1	no	—
801	#525	—	13	1	no	—
802	#525	—	13	1	no	—
803	#525	—	13	1	no	—
804	#525	—	13	1	no	—
805	#525	—	13	1	no	—
806	#525	—	13	1	no	—
807	C₂×#123	—	13	1	no	—
808	C₂×#123	—	13	1	no	—
809	C₂×C₂²⋊Q₈	—	13	1	no	—
810	C₂×C₂²⋊Q₈	—	13	1	no	—
811	C₂×#121	—	13	1	no	—
812	C₂×#121	—	13	1	no	—
813	C₂×#120	—	13	1	no	—
814	C₂×#120	—	13	1	no	—
815	C₂×C₄×D₄	—	13	1	no	—
816	C₂×C₄×D₄	—	13	1	no	—
817	C₂×C₄×D₄	—	13	1	no	—
818	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
819	C₂×#117	—	13	1	no	—
820	#436	—	13	2	no	—
821	#436	—	13	2	no	—
822	#436	—	13	2	no	—
823	#436	—	13	2	no	—
824	#436	—	13	2	no	—
825	#436	—	13	2	no	—
826	#436	—	13	2	no	—
827	#436	C₂×D₁₃	1	2	yes	complemented
828	#435	—	13	2	no	—
829	#435	—	13	2	no	—
830	#435	—	13	2	no	—
831	#435	—	13	2	no	—
832	#435	—	13	2	no	—
833	#435	—	13	2	no	—
834	#435	—	13	2	no	—
835	#435	—	13	2	no	—
836	#435	—	13	2	no	—
837	#435	—	13	2	no	—
838	#435	—	13	2	no	—
839	#435	—	13	2	no	—
840	#435	—	13	2	no	—
841	#435	—	13	2	no	—
842	#435	C₂×D₁₃	1	2	yes	complemented
843	#435	C₂×D₁₃	1	2	yes	complemented
844	C₈×D₄	—	13	2	no	—
845	C₈×D₄	—	13	2	no	—
846	C₈×D₄	—	13	2	no	—
847	C₈×D₄	—	13	2	no	—
848	C₈×D₄	—	13	2	no	—
849	C₈×D₄	—	13	2	no	—
850	C₈×D₄	—	13	2	no	—
851	C₈×D₄	C₂×D₁₃	1	2	yes	complemented
852	#433	—	13	2	no	—
853	#433	—	13	2	no	—
854	#433	—	13	2	no	—
855	#433	—	13	2	no	—
856	#433	—	13	2	no	—
857	#433	—	13	2	no	—
858	#433	—	13	2	no	—
859	#433	—	13	2	no	—
860	#423	—	13	1	no	—
861	#423	—	13	1	no	—
862	#423	—	13	1	no	—
863	#423	C₂×D₁₃	1	1	yes	characteristic, complemented
864	#408	—	13	2	no	—
865	#408	—	13	2	no	—
866	#408	—	13	2	no	—
867	#408	—	13	2	no	—
868	#408	—	13	2	no	—
869	#408	—	13	2	no	—
870	#408	—	13	2	no	—
871	#408	—	13	2	no	—
872	#407	—	13	1	no	—
873	#407	—	13	1	no	—
874	#407	—	13	1	no	—
875	#407	—	13	1	no	—
876	#407	—	13	1	no	—
877	#407	—	13	1	no	—
878	#407	—	13	1	no	—
879	#407	—	13	1	no	—
880	#407	—	13	2	no	—
881	#407	—	13	2	no	—
882	#407	—	13	1	no	—
883	#407	—	13	1	no	—
884	#407	—	13	2	no	—
885	#407	—	13	2	no	—
886	#407	C₂×D₁₃	1	1	yes	characteristic
887	#407	C₂×D₁₃	1	1	yes	characteristic, complemented
888	C₂×C₂²⋊C₈	—	13	2	no	—
889	C₂×C₂²⋊C₈	—	13	2	no	—
890	C₂×C₂²⋊C₈	—	13	2	no	—
891	C₂×C₂²⋊C₈	—	13	2	no	—
892	C₄×M₁₆	—	13	1	no	—
893	C₄×M₁₆	—	13	1	no	—
894	C₄×M₁₆	—	13	1	no	—
895	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
896	C₂²×C₁₃	—	2	1	no	—
897	C₂²×C₁₃	—	2	1	no	—
898	C₂²×C₁₃	—	2	1	no	—
899	C₂²×C₁₃	—	2	1	no	—
900	C₂²×C₁₃	—	2	1	no	—
901	C₂²×C₁₃	—	2	1	no	—
902	C₂²×C₁₃	—	2	1	no	—
903	C₂²×C₁₃	—	2	1	no	—
904	C₂²×C₁₃	—	2	1	no	—
905	C₂²×C₁₃	—	2	1	no	—
906	C₂²×C₁₃	—	2	1	no	—
907	C₂²×C₁₃	—	2	1	no	—
908	C₂²×C₁₃	—	2	1	no	—
909	C₂²×C₁₃	—	4	4	no	—
910	C₂²×C₁₃	—	8	2	no	—
911	C₂²×C₁₃	#518	1	2	yes	—
912	C₂²×C₁₃	#568	1	2	yes	—
913	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
914	C₂×D₁₃	—	2	1	no	—
915	C₂×D₁₃	—	2	1	no	—
916	C₂×D₁₃	—	2	1	no	—
917	C₂×D₁₃	—	2	1	no	—
918	C₂×D₁₃	—	2	1	no	—
919	C₂×D₁₃	—	2	1	no	—
920	C₂×D₁₃	—	2	1	no	—
921	C₂×D₁₃	—	2	1	no	—
922	C₂×D₁₃	—	2	1	no	—
923	C₂×D₁₃	—	2	1	no	—
924	C₂×D₁₃	—	2	1	no	—
925	C₂×D₁₃	—	2	1	no	—
926	C₂×D₁₃	—	2	1	no	—
927	C₂×D₁₃	—	2	1	no	—
928	C₂×D₁₃	—	2	1	no	—
929	C₂×D₁₃	—	2	1	no	—
930	C₂×D₁₃	—	2	1	no	—
931	C₂×D₁₃	—	4	4	no	—
932	C₂×D₁₃	—	4	4	no	—
933	C₂×D₁₃	—	4	4	no	—
934	C₂×D₁₃	—	4	4	no	—
935	C₂×D₁₃	—	4	4	no	—
936	C₂×D₁₃	—	4	4	no	—
937	C₂×D₁₃	—	8	2	no	—
938	C₂×D₁₃	#568	1	2	yes	—
939	C₄×C₁₃	—	2	1	no	—
940	C₄×C₁₃	—	2	1	no	—
941	C₄×C₁₃	—	2	1	no	—
942	C₄×C₁₃	—	2	1	no	—
943	C₄×C₁₃	—	2	1	no	—
944	C₄×C₁₃	—	2	1	no	—
945	C₄×C₁₃	—	2	1	no	—
946	C₄×C₁₃	—	2	1	no	—
947	C₄×C₁₃	#518	1	2	yes	—
948	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
949	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
950	Dic₁₃	—	2	1	no	—
951	Dic₁₃	—	2	1	no	—
952	Dic₁₃	—	2	1	no	—
953	Dic₁₃	—	2	1	no	—
954	Dic₁₃	—	2	1	no	—
955	Dic₁₃	—	2	1	no	—
956	Dic₁₃	—	2	1	no	—
957	Dic₁₃	—	2	1	no	—
958	Dic₁₃	—	2	1	no	—
959	Dic₁₃	—	2	1	no	—
960	C₂⁵	—	13	1	no	—
961	C₂×#41	—	13	1	no	—
962	C₂×#41	—	13	1	no	—
963	C₂×#41	—	13	1	no	—
964	C₂×#41	—	13	1	no	—
965	C₂×#41	—	13	1	no	—
966	C₂×#41	—	13	1	no	—
967	C₂×#41	—	13	1	no	—
968	C₂×#41	—	13	1	no	—
969	C₂×#41	—	52	2	no	—
970	C₂×#41	—	52	2	no	—
971	C₂²×Q₈	—	13	1	no	—
972	C₂²×D₄	—	13	1	no	—
973	C₂²×D₄	—	13	1	no	—
974	C₂²×D₄	—	13	1	no	—
975	C₂²×D₄	—	13	1	no	—
976	C₂²×D₄	—	13	1	no	—
977	C₂²×D₄	—	13	1	no	—
978	C₂²×D₄	C₄×D₁₃	1	1	yes	characteristic
979	C₂³×C₄	—	13	1	no	—
980	C₂³×C₄	—	13	1	no	—
981	C₂³×C₄	—	13	1	no	—
982	C₂³×C₄	—	13	1	no	—
983	C₂³×C₄	—	13	1	no	—
984	C₂³×C₄	—	13	1	no	—
985	C₂³×C₄	—	13	1	no	—
986	C₂³×C₄	—	13	1	no	—
987	C₂³×C₄	—	13	1	no	—
988	C₂³×C₄	—	13	1	no	—
989	C₂³×C₄	—	13	1	no	—
990	C₂³×C₄	—	13	1	no	—
991	C₂³×C₄	—	13	1	no	—
992	C₂³×C₄	—	13	1	no	—
993	C₂³×C₄	—	52	2	no	—
994	C₂³×C₄	—	52	2	no	—
995	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×M₁₆	—	4	2	no	—
998	C₂×M₁₆	—	4	2	no	—
999	C₂×M₁₆	—	13	1	no	—
1000	C₂×M₁₆	—	13	1	no	—
1001	C₂×M₁₆	—	13	1	no	—
1002	C₂×M₁₆	—	13	1	no	—
1003	C₂×M₁₆	—	13	2	no	—
1004	C₂×M₁₆	—	13	2	no	—
1005	C₂×M₁₆	—	13	2	no	—
1006	C₂×M₁₆	—	13	2	no	—
1007	C₂×M₁₆	—	13	2	no	—
1008	C₂×M₁₆	—	13	2	no	—
1009	C₂×M₁₆	—	52	2	no	—
1010	C₂×M₁₆	—	52	2	no	—
1011	C₂×M₁₆	—	52	2	no	—
1012	C₂×M₁₆	—	52	2	no	—
1013	C₂×M₁₆	—	52	2	no	—
1014	C₂×M₁₆	—	52	2	no	—
1015	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
1020	C₂×M₁₆	C₂²×D₁₃	1	2	yes	complemented
1021	C₂²×C₈	—	13	2	no	—
1022	C₂²×C₈	—	13	2	no	—
1023	C₂²×C₈	—	13	2	no	—
1024	C₂²×C₈	—	13	2	no	—
1025	C₂²×C₈	—	13	2	no	—
1026	C₂²×C₈	—	13	2	no	—
1027	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
1028	C₂²×C₈	C₂²×D₁₃	1	2	yes	complemented
1029	#123	—	13	1	no	—
1030	#123	—	13	1	no	—
1031	#123	—	13	1	no	—
1032	#123	—	13	1	no	—
1033	#123	—	13	1	no	—
1034	#123	—	13	1	no	—
1035	#123	—	13	1	no	—
1036	#123	—	13	1	no	—
1037	#123	—	13	1	no	—
1038	#123	—	13	1	no	—
1039	#123	—	13	1	no	—
1040	#123	—	13	1	no	—
1041	#123	—	13	1	no	—
1042	#123	—	13	1	no	—
1043	#123	—	13	1	no	—
1044	#123	—	13	1	no	—
1045	C₂²⋊Q₈	—	13	1	no	—
1046	C₂²⋊Q₈	—	13	1	no	—
1047	C₂²⋊Q₈	—	13	1	no	—
1048	C₂²⋊Q₈	—	13	1	no	—
1049	C₂²⋊Q₈	—	13	1	no	—
1050	C₂²⋊Q₈	—	13	1	no	—
1051	C₂²⋊Q₈	—	13	1	no	—
1052	C₂²⋊Q₈	—	13	1	no	—
1053	C₂²⋊Q₈	—	13	1	no	—
1054	C₂²⋊Q₈	—	13	1	no	—
1055	C₂²⋊Q₈	—	13	1	no	—
1056	C₂²⋊Q₈	—	13	1	no	—
1057	C₂²⋊Q₈	—	13	1	no	—
1058	C₂²⋊Q₈	—	13	1	no	—
1059	C₂²⋊Q₈	—	13	1	no	—
1060	C₂²⋊Q₈	—	13	1	no	—
1061	#121	—	13	1	no	—
1062	#121	—	13	1	no	—
1063	#121	—	13	1	no	—
1064	#121	—	13	1	no	—
1065	#121	—	13	1	no	—
1066	#121	—	13	1	no	—
1067	#121	—	13	1	no	—
1068	#121	—	13	1	no	—
1069	#121	—	13	1	no	—
1070	#121	—	13	1	no	—
1071	#121	—	13	1	no	—
1072	#121	—	13	1	no	—
1073	#121	—	13	1	no	—
1074	#121	—	13	1	no	—
1075	#121	—	13	1	no	—
1076	#121	—	13	1	no	—
1077	#120	—	13	1	no	—
1078	#120	—	13	1	no	—
1079	#120	—	13	1	no	—
1080	#120	—	13	1	no	—
1081	#120	—	13	1	no	—
1082	#120	—	13	1	no	—
1083	#120	—	13	1	no	—
1084	#120	—	13	1	no	—
1085	#120	—	13	1	no	—
1086	#120	—	13	1	no	—
1087	#120	—	13	1	no	—
1088	#120	—	13	1	no	—
1089	#120	—	13	1	no	—
1090	#120	—	13	1	no	—
1091	#120	—	13	1	no	—
1092	#120	—	13	1	no	—
1093	C₄×D₄	—	13	1	no	—
1094	C₄×D₄	—	13	1	no	—
1095	C₄×D₄	—	13	1	no	—
1096	C₄×D₄	—	13	1	no	—
1097	C₄×D₄	—	13	1	no	—
1098	C₄×D₄	—	13	1	no	—
1099	C₄×D₄	—	13	1	no	—
1100	C₄×D₄	—	13	1	no	—
1101	C₄×D₄	—	13	1	no	—
1102	C₄×D₄	—	13	1	no	—
1103	C₄×D₄	—	13	1	no	—
1104	C₄×D₄	—	13	1	no	—
1105	C₄×D₄	—	13	1	no	—
1106	C₄×D₄	—	13	1	no	—
1107	C₄×D₄	—	13	1	no	—
1108	C₄×D₄	—	13	1	no	—
1109	C₄×D₄	—	13	1	no	—
1110	C₄×D₄	—	13	1	no	—
1111	C₄×D₄	—	13	1	no	—
1112	C₄×D₄	—	13	1	no	—
1113	C₄×D₄	—	13	1	no	—
1114	C₄×D₄	—	13	1	no	—
1115	C₄×D₄	—	13	1	no	—
1116	C₄×D₄	—	13	1	no	—
1117	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
1118	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
1119	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
1120	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
1121	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1122	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1123	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1124	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1125	#117	—	13	1	no	—
1126	#117	—	13	1	no	—
1127	#117	—	13	1	no	—
1128	#117	—	13	1	no	—
1129	#117	—	13	1	no	—
1130	#117	—	13	1	no	—
1131	#117	—	13	1	no	—
1132	#117	—	13	1	no	—
1133	C₂×C₄⋊C₄	—	13	1	no	—
1134	C₂×C₄⋊C₄	—	13	1	no	—
1135	C₂×C₄⋊C₄	—	13	1	no	—
1136	C₂×C₄⋊C₄	—	13	1	no	—
1137	C₂×C₄⋊C₄	—	13	1	no	—
1138	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	—	13	1	no	—
1140	C₂×C₂²⋊C₄	—	13	1	no	—
1141	C₂×C₂²⋊C₄	—	13	1	no	—
1142	C₂×C₂²⋊C₄	—	13	1	no	—
1143	C₂×C₂²⋊C₄	—	13	1	no	—
1144	C₂×C₂²⋊C₄	—	13	1	no	—
1145	C₂×C₂²⋊C₄	—	13	1	no	—
1146	C₂×C₂²⋊C₄	—	13	1	no	—
1147	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1149	C₂×C₄²	—	13	1	no	—
1150	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1151	C₄⋊C₈	—	13	2	no	—
1152	C₄⋊C₈	—	13	2	no	—
1153	C₄⋊C₈	—	13	2	no	—
1154	C₄⋊C₈	—	13	2	no	—
1155	C₄⋊C₈	—	13	2	no	—
1156	C₄⋊C₈	—	13	2	no	—
1157	C₄⋊C₈	C₂²×D₁₃	1	2	yes	complemented
1158	C₄⋊C₈	C₂²×D₁₃	1	2	yes	complemented
1159	C₂²⋊C₈	—	13	2	no	—
1160	C₂²⋊C₈	—	13	2	no	—
1161	C₂²⋊C₈	—	13	2	no	—
1162	C₂²⋊C₈	—	13	2	no	—
1163	C₂²⋊C₈	—	13	2	no	—
1164	C₂²⋊C₈	—	13	2	no	—
1165	C₂²⋊C₈	—	13	2	no	—
1166	C₂²⋊C₈	—	13	2	no	—
1167	C₂²⋊C₈	—	13	2	no	—
1168	C₂²⋊C₈	—	13	2	no	—
1169	C₂²⋊C₈	—	13	2	no	—
1170	C₂²⋊C₈	—	13	2	no	—
1171	C₂²⋊C₈	—	13	2	no	—
1172	C₂²⋊C₈	—	13	2	no	—
1173	C₂²⋊C₈	—	13	2	no	—
1174	C₂²⋊C₈	—	13	2	no	—
1175	C₂²⋊C₈	—	13	2	no	—
1176	C₂²⋊C₈	—	13	2	no	—
1177	C₂²⋊C₈	—	13	2	no	—
1178	C₂²⋊C₈	—	13	2	no	—
1179	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1180	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1181	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	complemented
1182	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	complemented
1183	#97	—	13	2	no	—
1184	#97	—	13	2	no	—
1185	#97	—	13	2	no	—
1186	#97	C₂²×D₁₃	1	2	yes	complemented
1187	C₄×C₈	—	13	2	no	—
1188	C₄×C₈	—	13	2	no	—
1189	C₄×C₈	—	13	2	no	—
1190	C₄×C₈	C₂²×D₁₃	1	2	yes	complemented
1191	C₂×C₁₃	—	2	2	no	—
1192	C₂×C₁₃	—	2	2	no	—
1193	C₂×C₁₃	—	4	1	no	—
1194	C₂×C₁₃	—	4	1	no	—
1195	C₂×C₁₃	—	4	1	no	—
1196	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
1197	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1198	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1199	D₁₃	—	2	2	no	—
1200	D₁₃	—	4	1	no	—
1201	D₁₃	—	4	1	no	—
1202	D₁₃	—	4	1	no	—
1203	D₁₃	—	4	1	no	—
1204	D₁₃	—	4	1	no	—
1205	C₂⁴	—	13	1	no	—
1206	C₂⁴	—	13	1	no	—
1207	C₂⁴	—	13	1	no	—
1208	C₂⁴	—	13	1	no	—
1209	C₂⁴	—	13	1	no	—
1210	C₂⁴	—	13	1	no	—
1211	C₂⁴	—	13	1	no	—
1212	C₂⁴	—	52	2	no	—
1213	C₂⁴	—	52	2	no	—
1214	C₂⁴	—	52	2	no	—
1215	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
1216	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
1217	#41	—	52	2	no	—
1218	#41	—	52	2	no	—
1219	#41	—	52	2	no	—
1220	#41	—	52	2	no	—
1221	#41	—	52	1	no	—
1222	#41	—	52	1	no	—
1223	#41	—	52	1	no	—
1224	#41	—	52	1	no	—
1225	#41	—	52	1	no	—
1226	#41	—	52	1	no	—
1227	#41	—	52	1	no	—
1228	#41	—	52	1	no	—
1229	C₂×Q₈	—	13	1	no	—
1230	C₂×Q₈	—	13	1	no	—
1231	C₂×Q₈	—	13	1	no	—
1232	C₂×Q₈	—	13	1	no	—
1233	C₂×Q₈	—	52	2	no	—
1234	C₂×D₄	—	4	2	no	—
1235	C₂×D₄	—	13	1	no	—
1236	C₂×D₄	—	13	1	no	—
1237	C₂×D₄	—	13	1	no	—
1238	C₂×D₄	—	13	1	no	—
1239	C₂×D₄	—	13	1	no	—
1240	C₂×D₄	—	13	1	no	—
1241	C₂×D₄	—	13	1	no	—
1242	C₂×D₄	—	13	1	no	—
1243	C₂×D₄	—	13	1	no	—
1244	C₂×D₄	—	13	1	no	—
1245	C₂×D₄	—	13	1	no	—
1246	C₂×D₄	—	13	1	no	—
1247	C₂×D₄	—	13	1	no	—
1248	C₂×D₄	—	13	1	no	—
1249	C₂×D₄	—	13	1	no	—
1250	C₂×D₄	—	13	1	no	—
1251	C₂×D₄	—	13	1	no	—
1252	C₂×D₄	—	13	1	no	—
1253	C₂×D₄	—	13	1	no	—
1254	C₂×D₄	—	13	1	no	—
1255	C₂×D₄	—	13	1	no	—
1256	C₂×D₄	—	13	1	no	—
1257	C₂×D₄	—	13	1	no	—
1258	C₂×D₄	—	13	1	no	—
1259	C₂×D₄	—	52	2	no	—
1260	C₂×D₄	—	52	2	no	—
1261	C₂×D₄	—	52	2	no	—
1262	C₂×D₄	—	52	2	no	—
1263	C₂×D₄	—	52	2	no	—
1264	C₂×D₄	—	52	2	no	—
1265	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1266	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1267	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1268	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1269	C₂²×C₄	—	2	2	no	—
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	2	2	no	—
1273	C₂²×C₄	—	13	1	no	—
1274	C₂²×C₄	—	13	1	no	—
1275	C₂²×C₄	—	13	1	no	—
1276	C₂²×C₄	—	13	1	no	—
1277	C₂²×C₄	—	13	1	no	—
1278	C₂²×C₄	—	13	1	no	—
1279	C₂²×C₄	—	13	1	no	—
1280	C₂²×C₄	—	13	1	no	—
1281	C₂²×C₄	—	13	1	no	—
1282	C₂²×C₄	—	13	1	no	—
1283	C₂²×C₄	—	13	1	no	—
1284	C₂²×C₄	—	13	1	no	—
1285	C₂²×C₄	—	13	1	no	—
1286	C₂²×C₄	—	13	1	no	—
1287	C₂²×C₄	—	13	1	no	—
1288	C₂²×C₄	—	13	1	no	—
1289	C₂²×C₄	—	13	1	no	—
1290	C₂²×C₄	—	13	1	no	—
1291	C₂²×C₄	—	13	1	no	—
1292	C₂²×C₄	—	13	1	no	—
1293	C₂²×C₄	—	13	1	no	—
1294	C₂²×C₄	—	13	1	no	—
1295	C₂²×C₄	—	13	1	no	—
1296	C₂²×C₄	—	13	1	no	—
1297	C₂²×C₄	—	13	1	no	—
1298	C₂²×C₄	—	13	1	no	—
1299	C₂²×C₄	—	13	1	no	—
1300	C₂²×C₄	—	13	1	no	—
1301	C₂²×C₄	—	13	1	no	—
1302	C₂²×C₄	—	26	2	no	—
1303	C₂²×C₄	—	26	2	no	—
1304	C₂²×C₄	—	26	2	no	—
1305	C₂²×C₄	—	26	2	no	—
1306	C₂²×C₄	—	26	2	no	—
1307	C₂²×C₄	—	26	2	no	—
1308	C₂²×C₄	—	52	2	no	—
1309	C₂²×C₄	—	52	2	no	—
1310	C₂²×C₄	—	52	2	no	—
1311	C₂²×C₄	—	52	2	no	—
1312	C₂²×C₄	—	52	1	no	—
1313	C₂²×C₄	—	52	1	no	—
1314	C₂²×C₄	—	52	1	no	—
1315	C₂²×C₄	—	52	1	no	—
1316	C₂²×C₄	—	52	1	no	—
1317	C₂²×C₄	—	52	1	no	—
1318	C₂²×C₄	—	52	1	no	—
1319	C₂²×C₄	—	52	1	no	—
1320	C₂²×C₄	—	52	2	no	—
1321	C₂²×C₄	—	52	2	no	—
1322	C₂²×C₄	—	52	2	no	—
1323	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1334	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1336	M₁₆	—	2	2	no	—
1337	M₁₆	—	2	2	no	—
1338	M₁₆	—	2	2	no	—
1339	M₁₆	—	2	2	no	—
1340	M₁₆	—	4	2	no	—
1341	M₁₆	—	4	2	no	—
1342	M₁₆	—	26	2	no	—
1343	M₁₆	—	26	2	no	—
1344	M₁₆	—	26	2	no	—
1345	M₁₆	—	26	2	no	—
1346	M₁₆	—	52	2	no	—
1347	M₁₆	—	52	2	no	—
1348	M₁₆	—	52	2	no	—
1349	M₁₆	—	52	2	no	—
1350	M₁₆	—	52	2	no	—
1351	M₁₆	—	52	2	no	—
1352	C₂×C₈	—	4	2	no	—
1353	C₂×C₈	—	4	2	no	—
1354	C₂×C₈	—	13	2	no	—
1355	C₂×C₈	—	13	2	no	—
1356	C₂×C₈	—	13	2	no	—
1357	C₂×C₈	—	13	2	no	—
1358	C₂×C₈	—	52	2	no	—
1359	C₂×C₈	—	52	2	no	—
1360	C₂×C₈	—	52	2	no	—
1361	C₂×C₈	—	52	2	no	—
1362	C₂×C₈	—	52	2	no	—
1363	C₂×C₈	—	52	2	no	—
1364	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1365	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1366	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1367	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1368	C₄⋊C₄	—	13	1	no	—
1369	C₄⋊C₄	—	13	1	no	—
1370	C₄⋊C₄	—	13	1	no	—
1371	C₄⋊C₄	—	13	1	no	—
1372	C₄⋊C₄	—	13	1	no	—
1373	C₄⋊C₄	—	13	1	no	—
1374	C₄⋊C₄	—	13	1	no	—
1375	C₄⋊C₄	—	13	1	no	—
1376	C₄⋊C₄	—	13	1	no	—
1377	C₄⋊C₄	—	13	1	no	—
1378	C₄⋊C₄	—	13	1	no	—
1379	C₄⋊C₄	—	13	1	no	—
1380	C₄⋊C₄	—	13	1	no	—
1381	C₄⋊C₄	—	13	1	no	—
1382	C₄⋊C₄	—	13	1	no	—
1383	C₄⋊C₄	—	13	1	no	—
1384	C₄⋊C₄	—	13	1	no	—
1385	C₄⋊C₄	—	13	1	no	—
1386	C₄⋊C₄	—	13	1	no	—
1387	C₄⋊C₄	—	13	1	no	—
1388	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1389	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1392	C₂²⋊C₄	—	13	1	no	—
1393	C₂²⋊C₄	—	13	1	no	—
1394	C₂²⋊C₄	—	13	1	no	—
1395	C₂²⋊C₄	—	13	1	no	—
1396	C₂²⋊C₄	—	13	1	no	—
1397	C₂²⋊C₄	—	13	1	no	—
1398	C₂²⋊C₄	—	13	1	no	—
1399	C₂²⋊C₄	—	13	1	no	—
1400	C₂²⋊C₄	—	13	1	no	—
1401	C₂²⋊C₄	—	13	1	no	—
1402	C₂²⋊C₄	—	13	1	no	—
1403	C₂²⋊C₄	—	13	1	no	—
1404	C₂²⋊C₄	—	13	1	no	—
1405	C₂²⋊C₄	—	13	1	no	—
1406	C₂²⋊C₄	—	13	1	no	—
1407	C₂²⋊C₄	—	13	1	no	—
1408	C₂²⋊C₄	—	13	1	no	—
1409	C₂²⋊C₄	—	13	1	no	—
1410	C₂²⋊C₄	—	13	1	no	—
1411	C₂²⋊C₄	—	13	1	no	—
1412	C₂²⋊C₄	—	13	1	no	—
1413	C₂²⋊C₄	—	13	1	no	—
1414	C₂²⋊C₄	—	13	1	no	—
1415	C₂²⋊C₄	—	13	1	no	—
1416	C₂²⋊C₄	—	13	1	no	—
1417	C₂²⋊C₄	—	13	1	no	—
1418	C₂²⋊C₄	—	13	1	no	—
1419	C₂²⋊C₄	—	13	1	no	—
1420	C₂²⋊C₄	—	13	1	no	—
1421	C₂²⋊C₄	—	13	1	no	—
1422	C₂²⋊C₄	—	13	1	no	—
1423	C₂²⋊C₄	—	13	1	no	—
1424	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1425	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1431	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1432	C₄²	—	13	1	no	—
1433	C₄²	—	13	1	no	—
1434	C₄²	—	13	1	no	—
1435	C₄²	—	13	1	no	—
1436	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1437	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1438	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1439	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1440	C₁₃	#60231	1	1	yes	characteristic, complemented, Sylow
1441	C₂³	—	2	2	no	—
1442	C₂³	—	2	2	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	4	1	no	—
1445	C₂³	—	4	1	no	—
1446	C₂³	—	4	1	no	—
1447	C₂³	—	13	1	no	—
1448	C₂³	—	13	1	no	—
1449	C₂³	—	13	1	no	—
1450	C₂³	—	13	1	no	—
1451	C₂³	—	13	1	no	—
1452	C₂³	—	13	1	no	—
1453	C₂³	—	26	2	no	—
1454	C₂³	—	26	2	no	—
1455	C₂³	—	26	2	no	—
1456	C₂³	—	26	2	no	—
1457	C₂³	—	26	2	no	—
1458	C₂³	—	26	2	no	—
1459	C₂³	—	26	2	no	—
1460	C₂³	—	26	2	no	—
1461	C₂³	—	52	1	no	—
1462	C₂³	—	52	1	no	—
1463	C₂³	—	52	1	no	—
1464	C₂³	—	52	1	no	—
1465	C₂³	—	52	1	no	—
1466	C₂³	—	52	1	no	—
1467	C₂³	—	52	1	no	—
1468	C₂³	—	52	1	no	—
1469	C₂³	—	52	1	no	—
1470	C₂³	—	52	1	no	—
1471	C₂³	—	52	1	no	—
1472	C₂³	—	52	1	no	—
1473	C₂³	—	52	1	no	—
1474	C₂³	—	52	16	no	—
1475	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1476	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1477	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1478	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1479	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1480	Q₈	—	52	1	no	—
1481	Q₈	—	52	1	no	—
1482	Q₈	—	52	1	no	—
1483	Q₈	—	52	1	no	—
1484	D₄	—	2	2	no	—
1485	D₄	—	2	2	no	—
1486	D₄	—	4	1	no	—
1487	D₄	—	4	1	no	—
1488	D₄	—	26	2	no	—
1489	D₄	—	26	2	no	—
1490	D₄	—	26	2	no	—
1491	D₄	—	26	2	no	—
1492	D₄	—	26	2	no	—
1493	D₄	—	26	2	no	—
1494	D₄	—	52	1	no	—
1495	D₄	—	52	1	no	—
1496	D₄	—	52	1	no	—
1497	D₄	—	52	1	no	—
1498	D₄	—	52	1	no	—
1499	D₄	—	52	1	no	—
1500	D₄	—	52	1	no	—
1501	D₄	—	52	1	no	—
1502	D₄	—	52	1	no	—
1503	D₄	—	52	1	no	—
1504	D₄	—	52	1	no	—
1505	D₄	—	52	1	no	—
1506	D₄	—	52	1	no	—
1507	D₄	—	52	1	no	—
1508	D₄	—	52	1	no	—
1509	D₄	—	52	1	no	—
1510	D₄	—	52	1	no	—
1511	D₄	—	52	1	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	2	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	1	no	—
1528	C₂×C₄	—	13	1	no	—
1529	C₂×C₄	—	13	1	no	—
1530	C₂×C₄	—	13	1	no	—
1531	C₂×C₄	—	13	1	no	—
1532	C₂×C₄	—	13	1	no	—
1533	C₂×C₄	—	13	1	no	—
1534	C₂×C₄	—	13	1	no	—
1535	C₂×C₄	—	13	1	no	—
1536	C₂×C₄	—	13	1	no	—
1537	C₂×C₄	—	13	1	no	—
1538	C₂×C₄	—	26	2	no	—
1539	C₂×C₄	—	26	2	no	—
1540	C₂×C₄	—	26	2	no	—
1541	C₂×C₄	—	26	2	no	—
1542	C₂×C₄	—	26	2	no	—
1543	C₂×C₄	—	26	2	no	—
1544	C₂×C₄	—	26	2	no	—
1545	C₂×C₄	—	26	2	no	—
1546	C₂×C₄	—	26	2	no	—
1547	C₂×C₄	—	26	1	no	—
1548	C₂×C₄	—	26	1	no	—
1549	C₂×C₄	—	26	1	no	—
1550	C₂×C₄	—	26	1	no	—
1551	C₂×C₄	—	26	1	no	—
1552	C₂×C₄	—	26	1	no	—
1553	C₂×C₄	—	26	1	no	—
1554	C₂×C₄	—	26	1	no	—
1555	C₂×C₄	—	26	1	no	—
1556	C₂×C₄	—	26	1	no	—
1557	C₂×C₄	—	26	1	no	—
1558	C₂×C₄	—	26	1	no	—
1559	C₂×C₄	—	52	1	no	—
1560	C₂×C₄	—	52	1	no	—
1561	C₂×C₄	—	52	1	no	—
1562	C₂×C₄	—	52	1	no	—
1563	C₂×C₄	—	52	1	no	—
1564	C₂×C₄	—	52	1	no	—
1565	C₂×C₄	—	52	1	no	—
1566	C₂×C₄	—	52	1	no	—
1567	C₂×C₄	—	52	1	no	—
1568	C₂×C₄	—	52	1	no	—
1569	C₂×C₄	—	52	1	no	—
1570	C₂×C₄	—	52	1	no	—
1571	C₂×C₄	—	52	1	no	—
1572	C₂×C₄	—	52	1	no	—
1573	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1574	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1575	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1576	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1577	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1578	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1579	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1580	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1581	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1582	C₂×C₄	#88251	1	2	yes	—
1583	C₂×C₄	#88256	1	2	yes	—
1584	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1585	C₈	—	2	2	no	—
1586	C₈	—	2	2	no	—
1587	C₈	—	2	2	no	—
1588	C₈	—	2	2	no	—
1589	C₈	—	26	2	no	—
1590	C₈	—	26	2	no	—
1591	C₈	—	26	2	no	—
1592	C₈	—	26	2	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	2	1	no	—
1606	C₂²	—	4	4	no	—
1607	C₂²	—	8	2	no	—
1608	C₂²	—	13	2	no	—
1609	C₂²	—	26	1	no	—
1610	C₂²	—	26	1	no	—
1611	C₂²	—	26	1	no	—
1612	C₂²	—	26	1	no	—
1613	C₂²	—	26	1	no	—
1614	C₂²	—	26	1	no	—
1615	C₂²	—	26	1	no	—
1616	C₂²	—	26	1	no	—
1617	C₂²	—	26	1	no	—
1618	C₂²	—	26	1	no	—
1619	C₂²	—	26	1	no	—
1620	C₂²	—	26	1	no	—
1621	C₂²	—	26	1	no	—
1622	C₂²	—	26	1	no	—
1623	C₂²	—	26	1	no	—
1624	C₂²	—	26	1	no	—
1625	C₂²	—	26	1	no	—
1626	C₂²	—	52	4	no	—
1627	C₂²	—	52	4	no	—
1628	C₂²	—	52	4	no	—
1629	C₂²	—	52	4	no	—
1630	C₂²	—	52	4	no	—
1631	C₂²	—	52	4	no	—
1632	C₂²	—	104	2	no	—
1633	C₂²	#11719250	1	2	yes	—
1634	C₂²	#11719450	1	2	yes	—
1635	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	2	1	no	—
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	26	1	no	—
1645	C₄	—	26	1	no	—
1646	C₄	—	26	1	no	—
1647	C₄	—	26	1	no	—
1648	C₄	—	26	1	no	—
1649	C₄	—	26	1	no	—
1650	C₄	—	26	1	no	—
1651	C₄	—	26	1	no	—
1652	C₄	—	26	1	no	—
1653	C₄	—	26	1	no	—
1654	C₄	#11719250	1	2	yes	—
1655	C₄	C₂×#88251	1	1	yes	characteristic
1656	C₄	C₂×#88256	1	1	yes	characteristic
1657	C₂	—	2	2	no	—
1658	C₂	—	2	2	no	—
1659	C₂	—	4	1	no	—
1660	C₂	—	4	1	no	—
1661	C₂	—	4	1	no	—
1662	C₂	—	26	2	no	—
1663	C₂	—	52	1	no	—
1664	C₂	—	52	1	no	—
1665	C₂	—	52	1	no	—
1666	C₂	—	52	1	no	—
1667	C₂	—	52	1	no	—
1668	C₂	C₂×#11719250	1	1	yes	characteristic
1669	C₂	D₁₃×#568	1	1	yes	characteristic
1670	C₂	C₂×#11719450	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	D₄×C₁₃×M₁₆	C₂
prime radical	C₂×#11719252	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	D₄×M₁₆	D₁₃
hypocenter	C₁₃	#60231
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. #13123895	C₂	semidirect
3. #13123893	C₂	semidirect
4. #13123889	C₂	semidirect
5. #13123887	C₂	semidirect
6. #13123885	C₂	semidirect
7. #13123883	C₂	semidirect
8. #13123880	C₂	semidirect
9. #13123878	C₂	semidirect
10. M₁₆×D₅₂	C₂	semidirect
11. D₄×#6099	C₂	semidirect
12. #13123571	C₂	semidirect
13. M₁₆×C₂²⋊D₁₃	C₂	semidirect
14. M₁₆×C₂²⋊D₁₃	C₂	semidirect
15. #13123568	C₂	semidirect
16. #13123568	C₂	semidirect
17. #13123473	C₂	semidirect
18. #13123472	C₂	semidirect
19. #13123280	C₂	semidirect
20. #13123279	C₂	semidirect
21. C₂×#11718787	C₂	semidirect
22. D₁₃×#407	C₂	semidirect
23. D₄×C₁₃×M₁₆	C₂	semidirect
27. C₂²×C₁₃×M₁₆	C₂²	semidirect
34. C₂²×#6099	C₂²	semidirect
37. C₂×M₁₆×D₁₃	C₂²	semidirect
38. C₂×M₁₆×D₁₃	C₂²	semidirect
63. C₁₃×#436	C₂²	semidirect
64. C₁₃×#435	C₂²	semidirect
65. C₁₃×#435	C₂²	semidirect
66. C₈×D₄×C₁₃	C₂²	semidirect
67. C₁₃×#423	C₂²	semidirect
69. C₁₃×#407	C₂²	semidirect
70. C₄×C₁₃×M₁₆	C₂²	semidirect
72. #11718868	C₂²	semidirect
73. #11718790	C₂²	semidirect
74. #11718790	C₂²	semidirect
75. #11718789	C₂²	semidirect
76. #11718789	C₂²	semidirect
77. #11718788	C₂²	semidirect
78. #11718788	C₂²	semidirect
85. #11718787	C₂²	semidirect
86. #11718787	C₂²	semidirect
87. #11718787	C₂²	semidirect
88. #11718787	C₂²	semidirect
89. #11718779	C₂²	semidirect
90. #11718779	C₂²	semidirect
91. M₁₆×Dic₁₃	C₂²	semidirect
92. M₁₆×Dic₁₃	C₂²	semidirect
93. #11718772	C₂²	semidirect
94. #11718772	C₂²	semidirect
95. #11718771	C₂²	semidirect
96. #11718771	C₂²	semidirect
97. C₈×C₂²⋊D₁₃	C₂²	semidirect
98. C₈×C₂²⋊D₁₃	C₂²	semidirect
99. C₂×#88060	C₂²	semidirect
100. C₂×#88060	C₂²	semidirect
101. #11718673	C₂²	semidirect
102. #11718672	C₂²	semidirect
103. #11718672	C₂²	semidirect
104. D₄×#1055	C₂²	semidirect
105. #11718585	C₂²	semidirect
106. C₄×#6099	C₂²	semidirect
107. #11718501	C₂²	semidirect
108. #11718501	C₂²	semidirect
109. #11718501	C₂²	semidirect
110. #11718501	C₂²	semidirect
111. #11718499	C₂²	semidirect
112. #11718497	C₂²	semidirect
113. #11718497	C₂²	semidirect
114. #11718495	C₂²	semidirect
115. #11718391	C₂²	semidirect
116. #11718391	C₂²	semidirect
117. #11718390	C₂²	semidirect
118. #11718390	C₂²	semidirect
119. #11718389	C₂²	semidirect
120. #11718389	C₂²	semidirect
121. #11718388	C₂²	semidirect
122. #11718388	C₂²	semidirect
123. #11718388	C₂²	semidirect
124. #11718388	C₂²	semidirect
125. #11718387	C₂²	semidirect
126. #11718387	C₂²	semidirect
127. #11718386	C₂²	semidirect
128. #11718386	C₂²	semidirect
129. D₁₃×C₂²⋊C₈	C₂²	semidirect
130. D₁₃×C₂²⋊C₈	C₂²	semidirect
131. #11718370	C₂²	semidirect
132. #11718370	C₂²	semidirect
133. #11718367	C₂²	semidirect
134. #11718367	C₂²	semidirect
135. #11718351	C₂²	semidirect
136. #11718351	C₂²	semidirect
137. #11718349	C₂²	semidirect
138. C₈×D₅₂	C₂²	semidirect
183. C₂×C₁₃×M₁₆	C₂³	semidirect
185. C₂²×C₈×C₁₃	C₂³	semidirect
251. C₂×#6099	C₂³	semidirect
253. C₂²×#1055	C₂³	semidirect
260. C₂×#6094	C₂³	semidirect
261. C₂×#6094	C₂³	semidirect
264. C₂×C₈×D₁₃	C₂³	semidirect
265. C₂×C₈×D₁₃	C₂³	semidirect
330. C₁₃×C₄⋊C₈	C₂³	semidirect
331. C₁₃×C₄⋊C₈	C₂³	semidirect
334. C₁₃×C₂²⋊C₈	C₂³	semidirect
335. C₁₃×C₂²⋊C₈	C₂³	semidirect
336. C₁₃×#97	C₂³	semidirect
337. C₄×C₈×C₁₃	C₂³	semidirect
340. C₂²⋊#1055	C₂³	semidirect
341. C₂²⋊#1055	C₂³	semidirect
354. #88060	C₂³	semidirect
355. #88060	C₂³	semidirect
356. #88060	C₂³	semidirect
357. #88060	C₂³	semidirect
358. #88055	C₂³	semidirect
359. #88055	C₂³	semidirect
360. #88054	C₂³	semidirect
361. #88054	C₂³	semidirect
362. #88054	C₂³	semidirect
363. #88054	C₂³	semidirect
364. C₈×Dic₁₃	C₂³	semidirect
365. C₈×Dic₁₃	C₂³	semidirect
366. C₄⋊#1055	C₂³	semidirect
367. C₄⋊#1055	C₂³	semidirect
368. #88043	C₂³	semidirect
369. C₄×#1055	C₂³	semidirect
622. D₄×M₁₆	D₁₃	semidirect
790. C₂²×M₁₆	C₂×D₁₃	semidirect
827. #436	C₂×D₁₃	semidirect
842. #435	C₂×D₁₃	semidirect
843. #435	C₂×D₁₃	semidirect
851. C₈×D₄	C₂×D₁₃	semidirect
863. #423	C₂×D₁₃	semidirect
887. #407	C₂×D₁₃	semidirect
895. C₄×M₁₆	C₂×D₁₃	semidirect
1020. C₂×M₁₆	C₂²×D₁₃	semidirect
1028. C₂²×C₈	C₂²×D₁₃	semidirect
1157. C₄⋊C₈	C₂²×D₁₃	semidirect
1158. C₄⋊C₈	C₂²×D₁₃	semidirect
1181. C₂²⋊C₈	C₂²×D₁₃	semidirect
1182. C₂²⋊C₈	C₂²×D₁₃	semidirect
1186. #97	C₂²×D₁₃	semidirect
1190. C₄×C₈	C₂²×D₁₃	semidirect
1440. C₁₃	#60231	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719252	2
#13123895	2
#13123893	2
#13123889	2
#13123887	2
#13123885	2
#13123883	2
#13123880	2
#13123878	2
M₁₆×D₅₂	2
D₄×#6099	2
#13123571	2
M₁₆×C₂²⋊D₁₃	2
#13123568	2
#13123473	2
#13123472	2
#13123280	2
#13123279	2
C₂×#11718787	2
D₁₃×#407	2
D₄×C₁₃×M₁₆	2
#60231	13