Subgroups — #16748464

Order 3328.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129156	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128469	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127073	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127043	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126987	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126972	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126855	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126795	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126669	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126647	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126514	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126453	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126444	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126383	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126323	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126320	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126309	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125928	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125884	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125700	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125686	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125624	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125075	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125015	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124138	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124101	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124066	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718697	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123886	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
33	C₂³×D₅₂	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
36	#11719535	C₂²	1	1	yes	characteristic, complemented
37	#11719511	C₂²	1	1	yes	characteristic, complemented
38	#11719510	—	2	1	no	—
39	#11719509	—	2	1	no	—
40	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
43	#11719496	C₂²	1	1	yes	characteristic
44	#11719496	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
48	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
51	#11719358	—	2	1	no	—
52	#11719358	—	2	1	no	—
53	#11719335	C₂²	1	1	yes	characteristic
54	#11719335	C₂²	1	1	yes	characteristic, complemented
55	#11719335	C₂²	1	1	yes	characteristic, complemented
56	#11719335	C₂²	1	1	yes	characteristic, complemented
57	#11719326	—	2	1	no	—
58	#11719325	—	2	1	no	—
59	#11719324	C₂²	1	1	yes	characteristic, complemented
60	#11719321	C₂²	1	1	yes	characteristic, complemented
61	#11719320	—	2	1	no	—
62	#11719319	C₂²	1	1	yes	characteristic, complemented
63	#11719318	—	2	1	no	—
64	#11719317	C₂²	1	1	yes	characteristic, complemented
65	#11719314	C₂²	1	1	yes	characteristic
66	#11719314	C₂²	1	1	yes	characteristic, complemented
67	#11719314	C₂²	1	1	yes	characteristic, complemented
68	#11719314	C₂²	1	1	yes	characteristic, complemented
69	#11719313	C₂²	1	1	yes	characteristic, complemented
70	#11719312	C₂²	1	1	yes	characteristic, complemented
71	#11719308	C₂²	1	1	yes	characteristic, complemented
72	#11719304	C₂²	1	1	yes	characteristic, complemented
73	D₁₃×#120	—	2	1	no	—
74	D₁₃×#120	—	2	1	no	—
75	#11719255	—	2	1	no	—
76	#11719255	—	2	1	no	—
77	D₄×D₅₂	—	2	1	no	—
78	D₄×D₅₂	—	2	1	no	—
79	#11719230	C₂²	1	1	yes	characteristic, complemented
80	#11719226	C₂²	1	1	yes	characteristic, complemented
81	#11719218	C₂²	1	1	yes	characteristic, complemented
82	#11719212	C₂²	1	1	yes	characteristic, complemented
83	#11719200	—	2	1	no	—
84	#11719195	—	2	1	no	—
85	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
101	#11718837	C₂²	1	1	yes	characteristic, complemented
102	#11718833	C₂²	1	1	yes	characteristic, complemented
103	#11718833	C₂²	1	1	yes	characteristic, complemented
104	#11718829	C₂²	1	1	yes	characteristic, complemented
105	#11718826	C₂²	1	1	yes	characteristic, complemented
106	#11718826	C₂²	1	1	yes	characteristic, complemented
107	#11718817	C₂²	1	1	yes	characteristic, complemented
108	#11718817	C₂²	1	1	yes	characteristic, complemented
109	#11718815	C₂²	1	1	yes	characteristic, complemented
110	#11718812	C₂²	1	1	yes	characteristic, complemented
111	#11718811	C₂²	1	1	yes	characteristic, complemented
112	#11718811	C₂²	1	1	yes	characteristic, complemented
113	#11718792	C₂²	1	1	yes	characteristic, complemented
114	#11718792	C₂²	1	1	yes	characteristic, complemented
115	#11718789	C₂²	1	1	yes	characteristic, complemented
116	#11718789	C₂²	1	1	yes	characteristic, complemented
117	#11718788	C₂²	1	1	yes	characteristic, complemented
118	#11718788	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718706	C₂²	1	1	yes	characteristic, complemented
123	#11718702	C₂²	1	1	yes	characteristic, complemented
124	#11718699	C₂²	1	1	yes	characteristic, complemented
125	#11718698	C₂²	1	1	yes	characteristic, complemented
126	#11718697	C₂²	1	1	yes	characteristic
127	#11718697	C₂²	1	1	yes	characteristic, complemented
128	#11718697	C₂²	1	1	yes	characteristic, complemented
129	#11718697	C₂²	1	1	yes	characteristic, complemented
130	#11718697	C₂²	1	1	yes	characteristic, complemented
131	#11718697	C₂²	1	1	yes	characteristic, complemented
132	#11718697	C₂²	1	1	yes	characteristic, complemented
133	#11718697	C₂²	1	1	yes	characteristic, complemented
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718664	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
139	#11718552	C₂²	1	1	yes	characteristic, complemented
140	#11718551	C₂²	1	1	yes	characteristic, complemented
141	#11718550	C₂²	1	1	yes	characteristic, complemented
142	#11718547	C₂²	1	1	yes	characteristic, complemented
143	#11718546	C₂²	1	1	yes	characteristic, complemented
144	#11718544	C₂²	1	1	yes	characteristic, complemented
145	#11718543	C₂²	1	1	yes	characteristic, complemented
146	#11718533	C₂²	1	1	yes	characteristic, complemented
147	#11718532	C₂²	1	1	yes	characteristic, complemented
148	#11718531	C₂²	1	1	yes	characteristic, complemented
149	#11718530	C₂²	1	1	yes	characteristic, complemented
150	#11718527	C₂²	1	1	yes	characteristic, complemented
151	#11718526	C₂²	1	1	yes	characteristic, complemented
152	#11718525	C₂²	1	1	yes	characteristic, complemented
153	#11718524	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic, complemented
158	#11718465	C₂²	1	1	yes	characteristic, complemented
159	#11718464	C₂²	1	1	yes	characteristic, complemented
160	#11718461	C₂²	1	1	yes	characteristic, complemented
161	#11718459	C₂²	1	1	yes	characteristic, complemented
162	#11718456	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718448	C₂²	1	1	yes	characteristic, complemented
165	#11718447	C₂²	1	1	yes	characteristic, complemented
166	#11718447	C₂²	1	1	yes	characteristic, complemented
167	#11718447	C₂²	1	1	yes	characteristic, complemented
168	#11718446	C₂²	1	1	yes	characteristic, complemented
169	#11718446	C₂²	1	1	yes	characteristic, complemented
170	#11718443	C₂²	1	1	yes	characteristic, complemented
171	#11718443	C₂²	1	1	yes	characteristic, complemented
172	#11718442	C₂²	1	1	yes	characteristic, complemented
173	#11718442	C₂²	1	1	yes	characteristic, complemented
174	#11718437	C₂²	1	1	yes	characteristic, complemented
175	#11718436	C₂²	1	1	yes	characteristic, complemented
176	#11718436	C₂²	1	1	yes	characteristic, complemented
177	#11718434	C₂²	1	1	yes	characteristic, complemented
178	#11718434	C₂²	1	1	yes	characteristic, complemented
179	#11718434	C₂²	1	1	yes	characteristic, complemented
180	#11718431	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
182	#11718425	C₂²	1	1	yes	characteristic, complemented
183	#11718423	C₂²	1	1	yes	characteristic, complemented
184	#11718421	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718393	C₂²	1	1	yes	characteristic, complemented
188	#11718393	C₂²	1	1	yes	characteristic, complemented
189	#11718393	C₂²	1	1	yes	characteristic, complemented
190	#11718393	C₂²	1	1	yes	characteristic, complemented
191	#11718392	C₂²	1	1	yes	characteristic, complemented
192	#11718392	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718391	C₂²	1	1	yes	characteristic, complemented
197	#11718388	C₂²	1	1	yes	characteristic, complemented
198	#11718388	C₂²	1	1	yes	characteristic, complemented
199	#11718386	C₂²	1	1	yes	characteristic, complemented
200	#11718386	C₂²	1	1	yes	characteristic, complemented
201	#11718381	C₂²	1	1	yes	characteristic, complemented
202	#11718381	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	—	2	1	no	—
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	#88256	—	4	2	no	—
210	#88256	—	4	2	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6129	C₂³	1	1	yes	characteristic, complemented
214	C₂×D₄×D₁₃	—	2	1	no	—
215	C₂×D₄×D₁₃	—	2	1	no	—
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	—	2	1	no	—
228	C₂²×D₅₂	—	2	1	no	—
229	C₂²×D₅₂	—	2	1	no	—
230	C₂²×D₅₂	—	2	1	no	—
231	C₂²×D₅₂	—	4	2	no	—
232	C₂²×D₅₂	—	4	2	no	—
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic
235	C₂²×D₅₂	C₂³	1	1	yes	characteristic
236	C₂²×D₅₂	C₂³	1	1	yes	characteristic
237	C₂²×D₅₂	C₂³	1	1	yes	characteristic
238	C₂²×D₅₂	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
243	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₁₃×#120	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	#88207	—	2	1	no	—
263	#88207	—	2	1	no	—
264	#88207	—	2	1	no	—
265	#88207	D₄	1	1	yes	characteristic
266	#88207	D₄	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
268	#88201	C₂³	1	1	yes	characteristic
269	#88201	C₂³	1	1	yes	characteristic
270	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
271	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
272	#88194	—	2	1	no	—
273	#88194	—	2	1	no	—
274	#88194	C₂³	1	1	yes	characteristic
275	#88194	C₂³	1	1	yes	characteristic
276	#88194	C₂³	1	1	yes	characteristic, complemented
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	—	2	1	no	—
282	#88193	—	2	1	no	—
283	#88192	—	2	1	no	—
284	#88192	—	2	1	no	—
285	#88192	—	2	1	no	—
286	#88192	—	2	1	no	—
287	#88192	C₂³	1	1	yes	characteristic, complemented
288	#88192	C₂³	1	1	yes	characteristic, complemented
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88191	—	2	1	no	—
292	#88191	—	2	1	no	—
293	#88191	—	2	1	no	—
294	#88191	—	2	1	no	—
295	#88191	—	2	1	no	—
296	#88191	—	2	1	no	—
297	#88191	—	2	1	no	—
298	#88190	—	2	1	no	—
299	#88190	—	2	1	no	—
300	#88190	C₂³	1	1	yes	characteristic, complemented
301	#88189	—	2	1	no	—
302	#88189	—	2	1	no	—
303	#88189	—	2	1	no	—
304	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
305	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
306	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
307	C₂×#6104	—	4	2	no	—
308	C₂×#6104	—	4	2	no	—
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	C₂×#6104	C₂³	1	1	yes	characteristic
311	C₂×#6104	C₂³	1	1	yes	characteristic
312	C₂×#6104	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	C₂×#6104	C₂³	1	1	yes	characteristic
317	C₂×#6104	C₂³	1	1	yes	characteristic, complemented
318	#88184	—	2	1	no	—
319	#88184	—	2	1	no	—
320	#88184	D₄	1	1	yes	characteristic
321	#88184	D₄	1	1	yes	characteristic
322	#88184	C₂³	1	1	yes	characteristic
323	#88184	C₂³	1	1	yes	characteristic
324	#88183	—	2	1	no	—
325	#88183	—	2	1	no	—
326	#88183	—	2	1	no	—
327	#88183	D₄	1	1	yes	characteristic
328	#88183	D₄	1	1	yes	characteristic
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₄×C₂²⋊D₁₃	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
332	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
333	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
334	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
335	#88180	—	2	1	no	—
336	#88180	C₂³	1	1	yes	characteristic
337	#88180	C₂³	1	1	yes	characteristic
338	#88178	D₄	1	1	yes	characteristic
339	#88178	D₄	1	1	yes	characteristic
340	#88178	C₂³	1	1	yes	characteristic
341	#88178	C₂³	1	1	yes	characteristic
342	C₂²×#1055	C₂³	1	1	yes	characteristic
343	C₂²×#1055	C₂³	1	1	yes	characteristic
344	#88170	—	4	2	no	—
345	#88168	—	4	2	no	—
346	#88165	—	4	2	no	—
347	D₈×D₁₃	—	4	2	no	—
348	#88162	—	4	2	no	—
349	#88162	—	4	2	no	—
350	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
351	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
352	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
353	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
354	C₂×#6095	C₂³	1	1	yes	characteristic
355	C₂×#6095	C₂³	1	1	yes	characteristic
356	C₂×#6095	C₂³	1	1	yes	characteristic
357	C₂×#6095	C₂³	1	1	yes	characteristic
358	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
359	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
360	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
361	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
362	#88152	—	2	1	no	—
363	#88151	C₂³	1	1	yes	characteristic, complemented
364	#88150	—	2	1	no	—
365	#88149	—	2	1	no	—
366	#88149	—	2	1	no	—
367	#88149	—	2	1	no	—
368	#88149	—	2	1	no	—
369	#88149	C₂³	1	1	yes	characteristic
370	#88149	C₂³	1	1	yes	characteristic
371	#88149	C₂³	1	1	yes	characteristic
372	#88149	C₂³	1	1	yes	characteristic
373	#88149	C₂³	1	1	yes	characteristic, complemented
374	#88148	—	2	1	no	—
375	#88148	—	2	1	no	—
376	#88148	—	2	1	no	—
377	#88148	—	2	1	no	—
378	#88148	—	2	1	no	—
379	#88147	C₂³	1	1	yes	characteristic
380	#88147	C₂³	1	1	yes	characteristic
381	#88147	C₂³	1	1	yes	characteristic
382	#88147	C₂³	1	1	yes	characteristic
383	#88147	C₂³	1	1	yes	characteristic, complemented
384	#88146	C₂³	1	1	yes	characteristic, complemented
385	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
386	#88144	C₂³	1	1	yes	characteristic, complemented
387	#88143	—	2	1	no	—
388	#88142	C₂³	1	1	yes	characteristic, complemented
389	#88141	C₂³	1	1	yes	characteristic, complemented
390	#88140	—	2	1	no	—
391	#88139	—	2	1	no	—
392	#88139	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88138	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88136	—	2	1	no	—
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88136	—	2	1	no	—
408	#88136	—	2	1	no	—
409	#88136	—	2	1	no	—
410	#88136	—	2	1	no	—
411	#88136	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	C₂²⋊C₄×D₁₃	—	2	1	no	—
417	C₂²⋊C₄×D₁₃	—	2	1	no	—
418	C₂²⋊C₄×D₁₃	—	2	1	no	—
419	C₂²⋊C₄×D₁₃	—	2	1	no	—
420	C₂²⋊C₄×D₁₃	—	2	1	no	—
421	#88133	—	2	1	no	—
422	#88133	—	2	1	no	—
423	#88132	—	2	1	no	—
424	#88132	—	2	1	no	—
425	#88131	—	2	1	no	—
426	#88129	—	2	1	no	—
427	#88128	—	2	1	no	—
428	C₄×D₅₂	—	2	1	no	—
429	C₄×D₅₂	—	2	1	no	—
430	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
434	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
436	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
437	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
438	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
439	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
440	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
441	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
442	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic, complemented
447	#88075	C₂³	1	1	yes	characteristic, complemented
448	#88072	C₂³	1	1	yes	characteristic, complemented
449	#88072	C₂³	1	1	yes	characteristic, complemented
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic, complemented
463	#88060	C₂³	1	1	yes	characteristic, complemented
464	#88060	C₂³	1	1	yes	characteristic, complemented
465	#88060	C₂³	1	1	yes	characteristic, complemented
466	#88055	C₂³	1	1	yes	characteristic, complemented
467	#88055	C₂³	1	1	yes	characteristic, complemented
468	#88054	C₂³	1	1	yes	characteristic, complemented
469	#88054	C₂³	1	1	yes	characteristic, complemented
470	#88054	C₂³	1	1	yes	characteristic, complemented
471	#88054	C₂³	1	1	yes	characteristic, complemented
472	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
473	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
474	#88050	C₂³	1	1	yes	characteristic, complemented
475	#88050	C₂³	1	1	yes	characteristic, complemented
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic, complemented
485	#88049	C₂³	1	1	yes	characteristic, complemented
486	#88048	C₂³	1	1	yes	characteristic, complemented
487	#88048	C₂³	1	1	yes	characteristic, complemented
488	#88047	C₂³	1	1	yes	characteristic, complemented
489	#88047	C₂³	1	1	yes	characteristic, complemented
490	#61609	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	2	1	no	—
498	C₂³×D₁₃	—	2	1	no	—
499	C₂³×D₁₃	—	2	1	no	—
500	C₂³×D₁₃	—	2	1	no	—
501	C₂³×D₁₃	—	2	1	no	—
502	C₂³×D₁₃	—	4	4	no	—
503	C₂³×D₁₃	—	8	2	no	—
504	C₂³×D₁₃	—	8	2	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	4	1	no	—
517	C₂×D₄×C₁₃	—	4	1	no	—
518	C₂×D₄×C₁₃	—	8	2	no	—
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	4	1	no	—
525	C₂²×C₄×C₁₃	—	4	1	no	—
526	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	8	2	no	—
548	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	—	2	1	no	—
557	#6131	—	2	2	no	—
558	#6131	—	2	2	no	—
559	#6131	—	4	1	no	—
560	#6131	—	4	1	no	—
561	#6129	—	4	1	no	—
562	#6129	—	4	1	no	—
563	D₄×D₁₃	—	2	2	no	—
564	D₄×D₁₃	—	2	2	no	—
565	D₄×D₁₃	—	4	1	no	—
566	D₄×D₁₃	—	4	1	no	—
567	D₄×D₁₃	—	4	1	no	—
568	D₄×D₁₃	—	4	1	no	—
569	D₄×D₁₃	—	4	4	no	—
570	D₄×D₁₃	—	4	4	no	—
571	D₄×D₁₃	—	8	2	no	—
572	D₄×D₁₃	—	8	2	no	—
573	D₄×D₁₃	—	8	2	no	—
574	D₄×D₁₃	—	8	2	no	—
575	#6127	—	4	1	no	—
576	#6127	—	4	1	no	—
577	#6127	—	4	1	no	—
578	#6127	—	4	1	no	—
579	#6127	—	4	4	no	—
580	#6127	—	8	2	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	2	no	—
583	C₂×D₅₂	—	2	2	no	—
584	C₂×D₅₂	—	2	2	no	—
585	C₂×D₅₂	—	2	2	no	—
586	C₂×D₅₂	—	2	2	no	—
587	C₂×D₅₂	—	2	2	no	—
588	C₂×D₅₂	—	2	1	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	2	1	no	—
591	C₂×D₅₂	—	2	1	no	—
592	C₂×D₅₂	—	2	1	no	—
593	C₂×D₅₂	—	2	1	no	—
594	C₂×D₅₂	—	2	1	no	—
595	C₂×D₅₂	—	2	1	no	—
596	C₂×D₅₂	—	2	1	no	—
597	C₂×D₅₂	—	2	1	no	—
598	C₂×D₅₂	—	2	1	no	—
599	C₂×D₅₂	—	2	1	no	—
600	C₂×D₅₂	—	4	1	no	—
601	C₂×D₅₂	—	4	1	no	—
602	C₂×D₅₂	—	4	1	no	—
603	C₂×D₅₂	—	4	1	no	—
604	C₂×D₅₂	—	4	1	no	—
605	C₂×D₅₂	—	4	1	no	—
606	C₂×D₅₂	—	4	4	no	—
607	C₂×D₅₂	—	4	4	no	—
608	C₂×D₅₂	—	4	4	no	—
609	C₂×D₅₂	—	4	4	no	—
610	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
611	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
612	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
613	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
614	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
615	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₁₃	—	2	1	no	—
617	C₂×C₄×D₁₃	—	2	1	no	—
618	C₂×C₄×D₁₃	—	2	1	no	—
619	C₂×C₄×D₁₃	—	2	1	no	—
620	C₂×C₄×D₁₃	—	2	1	no	—
621	C₂×C₄×D₁₃	—	2	1	no	—
622	C₂×C₄×D₁₃	—	2	1	no	—
623	C₂×C₄×D₁₃	—	2	1	no	—
624	C₂×C₄×D₁₃	—	2	1	no	—
625	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₂₆	—	2	1	no	—
628	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
629	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
630	C₁₃×SD₁₆	—	4	1	no	—
631	C₁₃×SD₁₆	—	4	1	no	—
632	C₁₃×D₈	—	4	1	no	—
633	C₁₃×D₈	—	4	1	no	—
634	C₁₃×M₁₆	—	4	1	no	—
635	C₁₃×M₁₆	—	4	1	no	—
636	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	—	2	1	no	—
641	C₁₃×C₄⋊C₄	—	2	1	no	—
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	#6107	—	4	1	no	—
673	#6106	—	4	1	no	—
674	#6105	—	4	1	no	—
675	#6104	—	2	2	no	—
676	#6104	—	2	2	no	—
677	#6104	—	2	2	no	—
678	#6104	—	2	2	no	—
679	#6104	—	4	1	no	—
680	#6104	—	4	1	no	—
681	#6104	—	4	1	no	—
682	#6104	—	4	1	no	—
683	#6104	—	4	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	C₂×D₄	1	1	yes	characteristic
703	#6103	C₂×D₄	1	1	yes	characteristic
704	#6103	C₂×D₄	1	1	yes	characteristic
705	#6103	C₂×D₄	1	1	yes	characteristic
706	C₄⋊Dic₁₃	—	2	1	no	—
707	C₄⋊Dic₁₃	—	2	1	no	—
708	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
721	#6101	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
726	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	—	4	1	no	—
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	D₁₀₄	—	2	2	no	—
734	D₁₀₄	—	2	2	no	—
735	D₁₀₄	—	4	1	no	—
736	D₁₀₄	—	4	1	no	—
737	#6095	—	2	2	no	—
738	#6095	—	2	2	no	—
739	#6095	—	4	1	no	—
740	#6095	—	4	1	no	—
741	#6094	—	4	1	no	—
742	#6094	—	4	1	no	—
743	C₈×D₁₃	—	4	1	no	—
744	C₈×D₁₃	—	4	1	no	—
745	#3542	—	13	1	no	—
746	#3484	—	13	1	no	—
747	#3325	—	13	1	no	—
748	#3322	—	13	1	no	—
749	#3319	—	13	1	no	—
750	#3318	—	13	1	no	—
751	#3310	—	13	1	no	—
752	#3306	—	13	1	no	—
753	#3296	—	13	1	no	—
754	#3294	—	13	1	no	—
755	#3280	—	13	1	no	—
756	D₄×D₈	—	13	1	no	—
757	#3274	—	13	1	no	—
758	#3273	—	13	1	no	—
759	#3268	—	13	1	no	—
760	#3264	—	13	1	no	—
761	#3264	—	13	1	no	—
762	#3264	—	13	1	no	—
763	#3224	—	13	1	no	—
764	#3220	—	13	1	no	—
765	#3199	—	13	1	no	—
766	#3198	—	13	1	no	—
767	#3194	D₁₃	1	1	yes	characteristic, complemented
768	#3191	—	13	1	no	—
769	#3122	—	13	1	no	—
770	#3118	—	13	1	no	—
771	#3012	—	13	1	no	—
772	#3008	—	13	1	no	—
773	#3003	—	13	1	no	—
774	C₂×#447	—	13	1	no	—
775	#2976	—	13	1	no	—
776	C₂³×C₁₃	—	2	2	no	—
777	C₂³×C₁₃	—	2	1	no	—
778	C₂³×C₁₃	—	2	1	no	—
779	C₂³×C₁₃	—	2	1	no	—
780	C₂³×C₁₃	—	4	1	no	—
781	C₂³×C₁₃	—	4	1	no	—
782	C₂³×C₁₃	—	4	2	no	—
783	C₂³×C₁₃	—	8	1	no	—
784	C₂³×C₁₃	—	8	1	no	—
785	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂²×D₁₃	—	2	1	no	—
789	C₂²×D₁₃	—	2	1	no	—
790	C₂²×D₁₃	—	2	4	no	—
791	C₂²×D₁₃	—	2	1	no	—
792	C₂²×D₁₃	—	2	1	no	—
793	C₂²×D₁₃	—	2	1	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	4	2	no	—
799	C₂²×D₁₃	—	4	2	no	—
800	C₂²×D₁₃	—	4	2	no	—
801	C₂²×D₁₃	—	4	2	no	—
802	C₂²×D₁₃	—	4	2	no	—
803	C₂²×D₁₃	—	4	2	no	—
804	C₂²×D₁₃	—	4	2	no	—
805	C₂²×D₁₃	—	8	1	no	—
806	C₂²×D₁₃	—	8	1	no	—
807	C₂²×D₁₃	—	8	1	no	—
808	C₂²×D₁₃	—	8	1	no	—
809	C₂²×D₁₃	—	8	1	no	—
810	C₂²×D₁₃	—	8	1	no	—
811	C₂²×D₁₃	—	8	1	no	—
812	C₂²×D₁₃	—	8	1	no	—
813	C₂²×D₁₃	—	8	1	no	—
814	C₂²×D₁₃	—	8	1	no	—
815	C₂²×D₁₃	—	8	1	no	—
816	C₂²×D₁₃	—	8	1	no	—
817	C₂²×D₁₃	—	8	1	no	—
818	C₂²×D₁₃	—	8	1	no	—
819	C₂²×D₁₃	—	8	1	no	—
820	C₂²×D₁₃	—	8	16	no	—
821	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
823	Q₈×C₁₃	—	2	1	no	—
824	Q₈×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	2	1	no	—
829	D₄×C₁₃	—	2	1	no	—
830	D₄×C₁₃	—	2	1	no	—
831	D₄×C₁₃	—	4	2	no	—
832	D₄×C₁₃	—	4	2	no	—
833	D₄×C₁₃	—	4	2	no	—
834	D₄×C₁₃	—	8	1	no	—
835	D₄×C₁₃	—	8	1	no	—
836	D₄×C₁₃	—	8	1	no	—
837	D₄×C₁₃	—	8	1	no	—
838	D₄×C₁₃	—	8	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	2	1	no	—
845	C₂×C₄×C₁₃	—	2	1	no	—
846	C₂×C₄×C₁₃	—	2	1	no	—
847	C₂×C₄×C₁₃	—	2	1	no	—
848	C₂×C₄×C₁₃	—	2	1	no	—
849	C₂×C₄×C₁₃	—	2	1	no	—
850	C₂×C₄×C₁₃	—	4	1	no	—
851	C₂×C₄×C₁₃	—	4	1	no	—
852	C₂×C₄×C₁₃	—	4	1	no	—
853	C₂×C₄×C₁₃	—	4	2	no	—
854	C₂×C₄×C₁₃	—	4	2	no	—
855	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
859	C₂²⋊D₁₃	—	2	2	no	—
860	C₂²⋊D₁₃	—	2	2	no	—
861	C₂²⋊D₁₃	—	4	1	no	—
862	C₂²⋊D₁₃	—	4	1	no	—
863	C₂²⋊D₁₃	—	4	1	no	—
864	C₂²⋊D₁₃	—	4	1	no	—
865	C₂²⋊D₁₃	—	4	2	no	—
866	C₂²⋊D₁₃	—	4	2	no	—
867	C₂²⋊D₁₃	—	4	2	no	—
868	C₂²⋊D₁₃	—	8	1	no	—
869	C₂²⋊D₁₃	—	8	1	no	—
870	C₂²⋊D₁₃	—	8	1	no	—
871	C₂²⋊D₁₃	—	8	1	no	—
872	C₂²⋊D₁₃	—	8	1	no	—
873	C₂²⋊D₁₃	—	8	1	no	—
874	C₂²⋊D₁₃	—	8	1	no	—
875	C₂²⋊D₁₃	—	8	1	no	—
876	C₂²⋊D₁₃	—	8	1	no	—
877	C₂²⋊D₁₃	—	8	1	no	—
878	C₂²⋊D₁₃	—	8	1	no	—
879	C₂²⋊D₁₃	—	8	1	no	—
880	C₂×Dic₁₃	—	2	1	no	—
881	C₂×Dic₁₃	—	2	1	no	—
882	C₂×Dic₁₃	—	2	1	no	—
883	C₂×Dic₁₃	—	8	1	no	—
884	C₂×Dic₁₃	—	8	1	no	—
885	C₂×Dic₁₃	—	8	1	no	—
886	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
888	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
890	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
891	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
892	D₅₂	—	2	4	no	—
893	D₅₂	—	2	1	no	—
894	D₅₂	—	2	1	no	—
895	D₅₂	—	2	1	no	—
896	D₅₂	—	2	1	no	—
897	D₅₂	—	2	1	no	—
898	D₅₂	—	2	1	no	—
899	D₅₂	—	2	1	no	—
900	D₅₂	—	2	1	no	—
901	D₅₂	—	4	1	no	—
902	D₅₂	—	4	2	no	—
903	D₅₂	—	4	2	no	—
904	D₅₂	—	4	2	no	—
905	D₅₂	—	4	2	no	—
906	D₅₂	—	4	2	no	—
907	D₅₂	—	4	2	no	—
908	D₅₂	—	4	2	no	—
909	D₅₂	—	8	1	no	—
910	D₅₂	—	8	1	no	—
911	D₅₂	—	8	1	no	—
912	D₅₂	—	8	1	no	—
913	D₅₂	—	8	1	no	—
914	D₅₂	H(5,𝔽₂)	1	2	yes	—
915	D₅₂	H(5,𝔽₂)	1	2	yes	—
916	C₄×D₁₃	—	2	1	no	—
917	C₄×D₁₃	—	2	1	no	—
918	C₄×D₁₃	—	2	1	no	—
919	C₄×D₁₃	—	2	1	no	—
920	C₄×D₁₃	—	4	2	no	—
921	C₄×D₁₃	—	4	2	no	—
922	C₄×D₁₃	—	8	1	no	—
923	C₄×D₁₃	—	8	1	no	—
924	C₄×D₁₃	—	8	1	no	—
925	C₄×D₁₃	—	8	1	no	—
926	C₄×D₁₃	—	8	1	no	—
927	C₄×D₁₃	—	8	1	no	—
928	C₄×D₁₃	—	8	1	no	—
929	Dic₂₆	—	2	1	no	—
930	Dic₂₆	—	2	1	no	—
931	Dic₂₆	—	4	1	no	—
932	Dic₂₆	—	8	1	no	—
933	C₈×C₁₃	—	2	1	no	—
934	C₈×C₁₃	—	2	1	no	—
935	C₈×C₁₃	—	2	1	no	—
936	C₈×C₁₃	—	2	1	no	—
937	#1055	—	2	1	no	—
938	#1055	—	2	1	no	—
939	#1055	—	2	1	no	—
940	#1055	—	2	1	no	—
941	C₂×H(5,𝔽₂)	—	13	1	no	—
942	C₂³×D₄	—	13	1	no	—
943	C₂×AGL(1,ℤ/8)	—	13	1	no	—
944	C₂×AGL(1,ℤ/8)	—	13	1	no	—
945	C₂×AGL(1,ℤ/8)	—	13	1	no	—
946	C₂×AGL(1,ℤ/8)	—	13	1	no	—
947	C₂×#135	—	13	1	no	—
948	C₂²×D₈	—	13	1	no	—
949	C₂²×D₈	—	13	1	no	—
950	C₂²×D₈	—	13	1	no	—
951	#562	—	26	1	no	—
952	#560	—	26	1	no	—
953	#555	—	13	1	no	—
954	#553	—	13	1	no	—
955	#552	—	13	1	no	—
956	#551	—	26	1	no	—
957	#550	—	13	1	no	—
958	#547	—	13	1	no	—
959	#546	—	13	1	no	—
960	#546	—	13	1	no	—
961	#546	—	13	1	no	—
962	#546	—	13	1	no	—
963	#546	—	13	1	no	—
964	#546	—	13	1	no	—
965	#546	—	26	1	no	—
966	#546	—	26	1	no	—
967	#546	—	26	1	no	—
968	D₄²	—	13	1	no	—
969	D₄²	—	13	1	no	—
970	D₄²	—	13	1	no	—
971	D₄²	—	13	1	no	—
972	D₄²	—	13	1	no	—
973	D₄²	—	26	1	no	—
974	D₄²	—	26	1	no	—
975	#542	—	13	1	no	—
976	#540	—	13	1	no	—
977	#540	—	26	1	no	—
978	#538	—	26	1	no	—
979	#537	—	13	1	no	—
980	#535	—	13	1	no	—
981	#535	—	13	1	no	—
982	#535	—	13	1	no	—
983	#535	—	26	1	no	—
984	#534	—	26	1	no	—
985	#534	—	26	1	no	—
986	#534	—	26	1	no	—
987	#525	—	13	1	no	—
988	#525	—	13	1	no	—
989	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
990	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
991	C₂×#120	—	26	1	no	—
992	C₂×#120	—	26	1	no	—
993	#518	—	13	1	no	—
994	#496	—	13	1	no	—
995	#496	—	13	1	no	—
996	#495	—	13	1	no	—
997	#493	—	13	1	no	—
998	#490	—	13	1	no	—
999	#489	—	13	1	no	—
1000	#488	—	13	1	no	—
1001	#486	—	13	1	no	—
1002	#485	—	13	1	no	—
1003	#485	—	13	1	no	—
1004	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#482	—	13	1	no	—
1006	#482	—	13	1	no	—
1007	#482	—	13	1	no	—
1008	#482	—	13	1	no	—
1009	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#481	—	13	1	no	—
1012	#480	—	13	1	no	—
1013	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#478	—	13	1	no	—
1015	#478	—	13	1	no	—
1016	#476	—	13	1	no	—
1017	#474	—	13	1	no	—
1018	#469	—	13	1	no	—
1019	#469	—	13	1	no	—
1020	#469	—	13	1	no	—
1021	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#468	—	13	1	no	—
1024	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1025	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#467	—	13	1	no	—
1027	#466	—	13	1	no	—
1028	#466	—	13	1	no	—
1029	#466	—	13	1	no	—
1030	#466	—	13	1	no	—
1031	#465	—	13	1	no	—
1032	#465	—	13	1	no	—
1033	#465	—	13	1	no	—
1034	#464	—	13	1	no	—
1035	#463	—	13	1	no	—
1036	#463	—	13	1	no	—
1037	#463	—	13	1	no	—
1038	#463	—	13	1	no	—
1039	#463	—	13	1	no	—
1040	#460	—	13	1	no	—
1041	#459	—	13	1	no	—
1042	#459	—	13	1	no	—
1043	#459	—	13	1	no	—
1044	#459	—	13	1	no	—
1045	#459	—	13	1	no	—
1046	#452	—	13	1	no	—
1047	#452	—	13	1	no	—
1048	#452	—	13	1	no	—
1049	#450	—	13	1	no	—
1050	#450	—	13	1	no	—
1051	#450	—	13	1	no	—
1052	#450	—	13	1	no	—
1053	#450	—	13	1	no	—
1054	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	#449	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	—	13	1	no	—
1058	#449	—	13	1	no	—
1059	#449	—	13	1	no	—
1060	#449	—	13	1	no	—
1061	#449	—	13	1	no	—
1062	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	#447	—	13	1	no	—
1065	#447	—	13	1	no	—
1066	#447	—	13	1	no	—
1067	#447	—	13	1	no	—
1068	#447	—	13	1	no	—
1069	#447	—	13	1	no	—
1070	#447	—	13	1	no	—
1071	#447	—	13	1	no	—
1072	#447	—	13	1	no	—
1073	#447	—	13	1	no	—
1074	#447	—	13	1	no	—
1075	#447	—	13	1	no	—
1076	#447	—	13	1	no	—
1077	#447	—	13	1	no	—
1078	#447	—	13	1	no	—
1079	#447	—	13	1	no	—
1080	#447	—	13	1	no	—
1081	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1082	#442	—	13	1	no	—
1083	#442	—	13	1	no	—
1084	#442	—	13	1	no	—
1085	#440	—	13	1	no	—
1086	C₄×SD₁₆	—	13	1	no	—
1087	C₄×D₈	—	13	1	no	—
1088	C₄×D₈	—	13	1	no	—
1089	C₄×D₈	—	13	1	no	—
1090	#436	—	13	1	no	—
1091	#436	—	13	1	no	—
1092	#435	—	13	1	no	—
1093	#435	—	13	1	no	—
1094	#435	—	13	1	no	—
1095	#435	—	13	1	no	—
1096	C₈×D₄	—	13	1	no	—
1097	C₈×D₄	—	13	1	no	—
1098	#433	—	13	1	no	—
1099	#433	—	13	1	no	—
1100	#418	—	13	1	no	—
1101	#418	—	13	1	no	—
1102	#418	—	13	1	no	—
1103	#417	—	13	1	no	—
1104	#416	—	13	1	no	—
1105	C₂×#102	—	13	1	no	—
1106	C₂×#102	—	13	1	no	—
1107	C₂×#102	—	13	1	no	—
1108	#408	—	13	1	no	—
1109	#408	—	13	1	no	—
1110	#407	C₂×D₁₃	1	1	yes	characteristic, complemented
1111	C₂×C₂²⋊C₈	—	13	1	no	—
1112	C₂²×C₁₃	—	2	1	no	—
1113	C₂²×C₁₃	—	2	1	no	—
1114	C₂²×C₁₃	—	2	1	no	—
1115	C₂²×C₁₃	—	2	1	no	—
1116	C₂²×C₁₃	—	2	1	no	—
1117	C₂²×C₁₃	—	2	1	no	—
1118	C₂²×C₁₃	—	2	1	no	—
1119	C₂²×C₁₃	—	2	1	no	—
1120	C₂²×C₁₃	—	4	4	no	—
1121	C₂²×C₁₃	—	4	1	no	—
1122	C₂²×C₁₃	—	4	1	no	—
1123	C₂²×C₁₃	—	4	1	no	—
1124	C₂²×C₁₃	—	4	1	no	—
1125	C₂²×C₁₃	—	4	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	4	1	no	—
1128	C₂²×C₁₃	—	4	1	no	—
1129	C₂²×C₁₃	—	4	1	no	—
1130	C₂²×C₁₃	—	16	2	no	—
1131	C₂²×C₁₃	#576	1	2	yes	—
1132	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1133	C₂×D₁₃	—	2	1	no	—
1134	C₂×D₁₃	—	2	1	no	—
1135	C₂×D₁₃	—	2	1	no	—
1136	C₂×D₁₃	—	2	1	no	—
1137	C₂×D₁₃	—	2	2	no	—
1138	C₂×D₁₃	—	2	2	no	—
1139	C₂×D₁₃	—	2	1	no	—
1140	C₂×D₁₃	—	2	1	no	—
1141	C₂×D₁₃	—	4	1	no	—
1142	C₂×D₁₃	—	4	1	no	—
1143	C₂×D₁₃	—	4	1	no	—
1144	C₂×D₁₃	—	4	1	no	—
1145	C₂×D₁₃	—	4	1	no	—
1146	C₂×D₁₃	—	4	1	no	—
1147	C₂×D₁₃	—	4	1	no	—
1148	C₂×D₁₃	—	4	1	no	—
1149	C₂×D₁₃	—	4	1	no	—
1150	C₂×D₁₃	—	4	1	no	—
1151	C₂×D₁₃	—	4	1	no	—
1152	C₂×D₁₃	—	4	1	no	—
1153	C₂×D₁₃	—	4	1	no	—
1154	C₂×D₁₃	—	8	4	no	—
1155	C₂×D₁₃	—	8	4	no	—
1156	C₂×D₁₃	—	8	4	no	—
1157	C₂×D₁₃	—	8	4	no	—
1158	C₂×D₁₃	—	8	4	no	—
1159	C₂×D₁₃	—	8	4	no	—
1160	C₂×D₁₃	—	16	2	no	—
1161	C₂×D₁₃	—	16	2	no	—
1162	C₂×D₁₃	—	16	2	no	—
1163	C₄×C₁₃	—	2	1	no	—
1164	C₄×C₁₃	—	2	1	no	—
1165	C₄×C₁₃	—	2	1	no	—
1166	C₄×C₁₃	—	4	1	no	—
1167	C₄×C₁₃	—	4	1	no	—
1168	C₄×C₁₃	—	4	1	no	—
1169	C₄×C₁₃	—	4	1	no	—
1170	C₄×C₁₃	—	4	1	no	—
1171	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1172	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1173	Dic₁₃	—	2	1	no	—
1174	Dic₁₃	—	2	1	no	—
1175	Dic₁₃	—	2	1	no	—
1176	Dic₁₃	—	2	1	no	—
1177	Dic₁₃	—	2	1	no	—
1178	Dic₁₃	—	2	1	no	—
1179	Dic₁₃	—	4	1	no	—
1180	Dic₁₃	—	4	1	no	—
1181	Dic₁₃	—	4	1	no	—
1182	C₂⁵	—	26	1	no	—
1183	H(5,𝔽₂)	—	52	2	no	—
1184	H(5,𝔽₂)	—	52	2	no	—
1185	C₂×#41	—	13	1	no	—
1186	C₂×#41	—	13	1	no	—
1187	C₂×#41	—	13	1	no	—
1188	C₂×#41	—	13	1	no	—
1189	C₂×#41	—	13	1	no	—
1190	C₂×#41	—	26	1	no	—
1191	C₂×#41	—	26	1	no	—
1192	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂²×D₄	—	2	1	no	—
1194	C₂²×D₄	—	13	1	no	—
1195	C₂²×D₄	—	13	1	no	—
1196	C₂²×D₄	—	13	1	no	—
1197	C₂²×D₄	—	13	1	no	—
1198	C₂²×D₄	—	13	1	no	—
1199	C₂²×D₄	—	13	1	no	—
1200	C₂²×D₄	—	13	1	no	—
1201	C₂²×D₄	—	13	1	no	—
1202	C₂²×D₄	—	13	1	no	—
1203	C₂²×D₄	—	26	1	no	—
1204	C₂²×D₄	—	26	1	no	—
1205	C₂²×D₄	—	26	1	no	—
1206	C₂²×D₄	—	26	1	no	—
1207	C₂²×D₄	—	26	1	no	—
1208	C₂²×D₄	—	26	1	no	—
1209	C₂²×D₄	—	26	1	no	—
1210	C₂²×D₄	—	26	1	no	—
1211	C₂²×D₄	—	26	1	no	—
1212	C₂²×D₄	—	26	1	no	—
1213	C₂²×D₄	—	26	1	no	—
1214	C₂²×D₄	—	52	2	no	—
1215	C₂²×D₄	—	52	2	no	—
1216	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1217	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1218	AGL(1,ℤ/8)	—	52	2	no	—
1219	AGL(1,ℤ/8)	—	52	2	no	—
1220	AGL(1,ℤ/8)	—	52	2	no	—
1221	AGL(1,ℤ/8)	—	52	2	no	—
1222	#135	—	52	2	no	—
1223	C₂×Q₁₆	—	13	1	no	—
1224	C₂×SD₁₆	—	13	1	no	—
1225	C₂×SD₁₆	—	13	1	no	—
1226	C₂×SD₁₆	—	13	1	no	—
1227	C₂×SD₁₆	—	13	1	no	—
1228	C₂×SD₁₆	—	13	1	no	—
1229	C₂×SD₁₆	—	13	1	no	—
1230	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1231	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1232	C₂×D₈	—	13	1	no	—
1233	C₂×D₈	—	13	1	no	—
1234	C₂×D₈	—	13	1	no	—
1235	C₂×D₈	—	13	1	no	—
1236	C₂×D₈	—	13	1	no	—
1237	C₂×D₈	—	13	1	no	—
1238	C₂×D₈	—	13	1	no	—
1239	C₂×D₈	—	13	1	no	—
1240	C₂×D₈	—	13	1	no	—
1241	C₂×D₈	—	13	1	no	—
1242	C₂×D₈	—	13	1	no	—
1243	C₂×D₈	—	13	1	no	—
1244	C₂×D₈	—	13	1	no	—
1245	C₂×D₈	—	52	2	no	—
1246	C₂×D₈	—	52	2	no	—
1247	C₂×D₈	—	52	2	no	—
1248	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1249	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1250	C₂×M₁₆	—	13	1	no	—
1251	C₂×M₁₆	—	13	1	no	—
1252	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1253	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1254	C₂²×C₈	—	13	1	no	—
1255	C₂²×C₈	—	13	1	no	—
1256	C₂²×C₈	—	13	1	no	—
1257	C₂²×C₈	—	13	1	no	—
1258	C₄⋊Q₈	—	13	1	no	—
1259	#127	—	13	1	no	—
1260	#127	—	13	1	no	—
1261	#127	—	13	1	no	—
1262	#127	—	26	1	no	—
1263	#127	—	26	1	no	—
1264	#127	—	26	1	no	—
1265	#126	—	26	1	no	—
1266	#126	—	26	1	no	—
1267	#126	—	26	1	no	—
1268	#125	—	13	1	no	—
1269	#125	—	26	1	no	—
1270	#124	—	13	1	no	—
1271	#124	—	13	1	no	—
1272	#124	—	13	1	no	—
1273	#124	—	26	1	no	—
1274	#124	—	26	1	no	—
1275	#124	—	26	1	no	—
1276	#124	—	26	1	no	—
1277	#124	—	26	1	no	—
1278	#123	—	2	1	no	—
1279	#123	—	13	1	no	—
1280	#123	—	13	1	no	—
1281	#123	—	26	1	no	—
1282	#123	—	26	1	no	—
1283	#123	—	26	1	no	—
1284	#123	—	26	1	no	—
1285	#123	—	26	1	no	—
1286	#123	—	26	1	no	—
1287	#123	—	26	1	no	—
1288	#123	—	26	1	no	—
1289	#123	—	26	1	no	—
1290	#123	—	26	1	no	—
1291	#123	—	26	1	no	—
1292	#123	—	26	1	no	—
1293	#123	—	26	1	no	—
1294	#123	—	26	1	no	—
1295	C₂²⋊Q₈	—	13	1	no	—
1296	C₂²⋊Q₈	—	13	1	no	—
1297	C₂²⋊Q₈	—	13	1	no	—
1298	C₂²⋊Q₈	—	13	1	no	—
1299	C₂²⋊Q₈	—	13	1	no	—
1300	C₂²⋊Q₈	—	26	1	no	—
1301	C₂²⋊Q₈	—	26	1	no	—
1302	C₂²⋊Q₈	—	26	1	no	—
1303	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1304	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	13	1	no	—
1308	#121	—	13	1	no	—
1309	#121	—	13	1	no	—
1310	#121	—	13	1	no	—
1311	#121	—	13	1	no	—
1312	#121	—	13	1	no	—
1313	#121	—	13	1	no	—
1314	#121	—	13	1	no	—
1315	#121	—	13	1	no	—
1316	#121	—	13	1	no	—
1317	#121	—	13	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	—	26	1	no	—
1333	#121	—	26	1	no	—
1334	#121	—	26	1	no	—
1335	#121	—	26	1	no	—
1336	#121	—	26	1	no	—
1337	#121	—	26	1	no	—
1338	#121	—	26	1	no	—
1339	#121	—	26	1	no	—
1340	#121	C₂²×D₁₃	1	1	yes	characteristic
1341	#121	C₂²×D₁₃	1	1	yes	characteristic
1342	#121	C₂²×D₁₃	1	1	yes	characteristic
1343	#121	C₂²×D₁₃	1	1	yes	characteristic
1344	#121	C₂²×D₁₃	1	1	yes	characteristic
1345	#121	C₂²×D₁₃	1	1	yes	characteristic
1346	#120	—	2	1	no	—
1347	#120	—	13	1	no	—
1348	#120	—	13	1	no	—
1349	#120	—	26	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	#120	—	26	1	no	—
1353	#120	—	26	1	no	—
1354	#120	—	26	1	no	—
1355	#120	—	26	1	no	—
1356	#120	—	26	1	no	—
1357	#120	—	26	1	no	—
1358	#120	—	26	1	no	—
1359	#120	—	26	1	no	—
1360	#120	—	26	1	no	—
1361	#120	—	26	1	no	—
1362	#120	—	26	1	no	—
1363	#120	—	26	1	no	—
1364	#120	—	26	1	no	—
1365	#120	—	26	1	no	—
1366	#120	—	26	1	no	—
1367	#120	—	26	1	no	—
1368	#120	—	26	1	no	—
1369	#120	—	26	1	no	—
1370	#120	—	26	1	no	—
1371	#120	—	26	1	no	—
1372	C₄×Q₈	—	13	1	no	—
1373	C₄×D₄	—	2	1	no	—
1374	C₄×D₄	—	2	1	no	—
1375	C₄×D₄	—	13	1	no	—
1376	C₄×D₄	—	13	1	no	—
1377	C₄×D₄	—	13	1	no	—
1378	C₄×D₄	—	13	1	no	—
1379	C₄×D₄	—	13	1	no	—
1380	C₄×D₄	—	13	1	no	—
1381	C₄×D₄	—	13	1	no	—
1382	C₄×D₄	—	13	1	no	—
1383	C₄×D₄	—	13	1	no	—
1384	C₄×D₄	—	13	1	no	—
1385	C₄×D₄	—	13	1	no	—
1386	C₄×D₄	—	26	1	no	—
1387	C₄×D₄	—	26	1	no	—
1388	C₄×D₄	—	26	1	no	—
1389	C₄×D₄	—	26	1	no	—
1390	C₄×D₄	—	26	1	no	—
1391	C₄×D₄	—	26	1	no	—
1392	#117	—	13	1	no	—
1393	#117	—	13	1	no	—
1394	#117	—	13	1	no	—
1395	#117	—	26	1	no	—
1396	#117	—	26	1	no	—
1397	#117	C₂²×D₁₃	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	—	13	1	no	—
1399	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1400	C₂×C₂²⋊C₄	—	2	1	no	—
1401	C₂×C₂²⋊C₄	—	26	1	no	—
1402	C₂×C₂²⋊C₄	—	26	1	no	—
1403	C₂×C₂²⋊C₄	—	26	1	no	—
1404	C₂×C₂²⋊C₄	—	26	1	no	—
1405	C₂×C₂²⋊C₄	—	26	1	no	—
1406	C₂×C₂²⋊C₄	—	26	1	no	—
1407	C₂×C₂²⋊C₄	—	26	1	no	—
1408	C₂×C₂²⋊C₄	—	26	1	no	—
1409	#107	—	13	1	no	—
1410	#107	—	13	1	no	—
1411	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1412	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1413	#106	—	13	1	no	—
1414	#106	—	13	1	no	—
1415	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1416	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1417	C₄⋊C₈	—	13	1	no	—
1418	C₄⋊C₈	—	13	1	no	—
1419	C₄⋊C₈	—	13	1	no	—
1420	C₄⋊C₈	—	13	1	no	—
1421	#103	—	13	1	no	—
1422	#103	—	13	1	no	—
1423	#103	—	13	1	no	—
1424	#103	—	13	1	no	—
1425	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1426	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	—	13	1	no	—
1431	#102	—	13	1	no	—
1432	#102	—	13	1	no	—
1433	#102	—	13	1	no	—
1434	#102	—	13	1	no	—
1435	#102	—	13	1	no	—
1436	#102	—	13	1	no	—
1437	#102	—	13	1	no	—
1438	#102	—	13	1	no	—
1439	#102	—	13	1	no	—
1440	#102	—	13	1	no	—
1441	#102	—	13	1	no	—
1442	#102	—	13	1	no	—
1443	#102	—	13	1	no	—
1444	#102	—	13	1	no	—
1445	#102	—	13	1	no	—
1446	#102	—	13	1	no	—
1447	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1448	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1449	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1450	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1451	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1452	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1453	C₂²⋊C₈	—	13	1	no	—
1454	C₂²⋊C₈	—	13	1	no	—
1455	C₂²⋊C₈	—	13	1	no	—
1456	C₂²⋊C₈	—	13	1	no	—
1457	C₂²⋊C₈	—	13	1	no	—
1458	C₂²⋊C₈	—	13	1	no	—
1459	C₂²⋊C₈	—	13	1	no	—
1460	C₂²⋊C₈	—	13	1	no	—
1461	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1462	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1463	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1464	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1465	#97	—	13	1	no	—
1466	#97	—	13	1	no	—
1467	C₄×C₈	—	13	1	no	—
1468	C₄×C₈	—	13	1	no	—
1469	C₂×C₁₃	—	2	2	no	—
1470	C₂×C₁₃	—	4	1	no	—
1471	C₂×C₁₃	—	4	1	no	—
1472	C₂×C₁₃	—	8	1	no	—
1473	C₂×C₁₃	—	8	1	no	—
1474	C₂×C₁₃	—	8	1	no	—
1475	C₂×C₁₃	#3484	1	1	yes	characteristic
1476	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1477	C₂×C₁₃	#3585	1	1	yes	characteristic
1478	D₁₃	—	4	1	no	—
1479	D₁₃	—	4	1	no	—
1480	D₁₃	—	4	2	no	—
1481	D₁₃	—	4	2	no	—
1482	D₁₃	—	8	1	no	—
1483	D₁₃	—	8	1	no	—
1484	D₁₃	—	8	1	no	—
1485	C₂⁴	—	2	1	no	—
1486	C₂⁴	—	26	1	no	—
1487	C₂⁴	—	26	1	no	—
1488	C₂⁴	—	26	1	no	—
1489	C₂⁴	—	26	1	no	—
1490	C₂⁴	—	26	1	no	—
1491	C₂⁴	—	26	1	no	—
1492	C₂⁴	—	26	1	no	—
1493	C₂⁴	—	26	1	no	—
1494	C₂⁴	—	26	1	no	—
1495	C₂⁴	—	52	4	no	—
1496	C₂⁴	—	104	2	no	—
1497	C₂⁴	—	104	2	no	—
1498	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1499	#41	—	4	1	no	—
1500	#41	—	4	1	no	—
1501	#41	—	26	2	no	—
1502	#41	—	26	2	no	—
1503	#41	—	52	1	no	—
1504	#41	—	52	1	no	—
1505	#41	—	52	1	no	—
1506	#41	—	52	1	no	—
1507	#41	—	52	4	no	—
1508	#41	—	52	1	no	—
1509	#41	—	52	1	no	—
1510	#41	—	52	1	no	—
1511	#41	—	52	1	no	—
1512	#41	—	104	2	no	—
1513	C₂×Q₈	—	13	1	no	—
1514	C₂×Q₈	—	13	1	no	—
1515	C₂×Q₈	—	26	1	no	—
1516	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	4	1	no	—
1526	C₂×D₄	—	4	1	no	—
1527	C₂×D₄	—	8	2	no	—
1528	C₂×D₄	—	13	1	no	—
1529	C₂×D₄	—	13	1	no	—
1530	C₂×D₄	—	13	1	no	—
1531	C₂×D₄	—	13	1	no	—
1532	C₂×D₄	—	13	1	no	—
1533	C₂×D₄	—	13	1	no	—
1534	C₂×D₄	—	13	1	no	—
1535	C₂×D₄	—	13	1	no	—
1536	C₂×D₄	—	13	1	no	—
1537	C₂×D₄	—	13	1	no	—
1538	C₂×D₄	—	13	1	no	—
1539	C₂×D₄	—	13	1	no	—
1540	C₂×D₄	—	26	2	no	—
1541	C₂×D₄	—	26	2	no	—
1542	C₂×D₄	—	26	2	no	—
1543	C₂×D₄	—	26	2	no	—
1544	C₂×D₄	—	26	2	no	—
1545	C₂×D₄	—	26	2	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	26	1	no	—
1552	C₂×D₄	—	26	1	no	—
1553	C₂×D₄	—	26	1	no	—
1554	C₂×D₄	—	26	1	no	—
1555	C₂×D₄	—	26	1	no	—
1556	C₂×D₄	—	26	1	no	—
1557	C₂×D₄	—	26	1	no	—
1558	C₂×D₄	—	26	1	no	—
1559	C₂×D₄	—	26	1	no	—
1560	C₂×D₄	—	26	1	no	—
1561	C₂×D₄	—	26	1	no	—
1562	C₂×D₄	—	26	2	no	—
1563	C₂×D₄	—	26	2	no	—
1564	C₂×D₄	—	26	1	no	—
1565	C₂×D₄	—	26	1	no	—
1566	C₂×D₄	—	26	1	no	—
1567	C₂×D₄	—	26	1	no	—
1568	C₂×D₄	—	26	1	no	—
1569	C₂×D₄	—	26	1	no	—
1570	C₂×D₄	—	26	1	no	—
1571	C₂×D₄	—	26	1	no	—
1572	C₂×D₄	—	26	1	no	—
1573	C₂×D₄	—	26	1	no	—
1574	C₂×D₄	—	26	1	no	—
1575	C₂×D₄	—	26	1	no	—
1576	C₂×D₄	—	52	1	no	—
1577	C₂×D₄	—	52	1	no	—
1578	C₂×D₄	—	52	1	no	—
1579	C₂×D₄	—	52	1	no	—
1580	C₂×D₄	—	52	1	no	—
1581	C₂×D₄	—	52	1	no	—
1582	C₂×D₄	—	52	4	no	—
1583	C₂×D₄	—	52	4	no	—
1584	C₂×D₄	—	52	4	no	—
1585	C₂×D₄	—	52	4	no	—
1586	C₂×D₄	—	52	1	no	—
1587	C₂×D₄	—	52	1	no	—
1588	C₂×D₄	—	52	1	no	—
1589	C₂×D₄	—	52	1	no	—
1590	C₂×D₄	—	52	4	no	—
1591	C₂×D₄	—	52	4	no	—
1592	C₂×D₄	—	104	2	no	—
1593	C₂×D₄	—	104	2	no	—
1594	C₂×D₄	—	104	2	no	—
1595	C₂×D₄	—	104	2	no	—
1596	C₂×D₄	—	104	2	no	—
1597	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1600	C₂²×C₄	—	2	1	no	—
1601	C₂²×C₄	—	2	1	no	—
1602	C₂²×C₄	—	4	1	no	—
1603	C₂²×C₄	—	4	1	no	—
1604	C₂²×C₄	—	13	1	no	—
1605	C₂²×C₄	—	13	1	no	—
1606	C₂²×C₄	—	26	1	no	—
1607	C₂²×C₄	—	26	1	no	—
1608	C₂²×C₄	—	26	1	no	—
1609	C₂²×C₄	—	26	1	no	—
1610	C₂²×C₄	—	26	1	no	—
1611	C₂²×C₄	—	26	1	no	—
1612	C₂²×C₄	—	26	1	no	—
1613	C₂²×C₄	—	26	1	no	—
1614	C₂²×C₄	—	26	1	no	—
1615	C₂²×C₄	—	26	1	no	—
1616	C₂²×C₄	—	26	1	no	—
1617	C₂²×C₄	—	26	1	no	—
1618	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1619	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1620	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1621	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1622	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1623	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1624	Q₁₆	—	52	1	no	—
1625	SD₁₆	—	4	1	no	—
1626	SD₁₆	—	4	1	no	—
1627	SD₁₆	—	26	2	no	—
1628	SD₁₆	—	26	2	no	—
1629	SD₁₆	—	52	1	no	—
1630	SD₁₆	—	52	1	no	—
1631	SD₁₆	—	52	1	no	—
1632	SD₁₆	—	52	1	no	—
1633	D₈	—	4	1	no	—
1634	D₈	—	4	1	no	—
1635	D₈	—	26	2	no	—
1636	D₈	—	26	2	no	—
1637	D₈	—	26	2	no	—
1638	D₈	—	26	2	no	—
1639	D₈	—	26	2	no	—
1640	D₈	—	26	2	no	—
1641	D₈	—	52	1	no	—
1642	D₈	—	52	1	no	—
1643	D₈	—	52	1	no	—
1644	D₈	—	52	1	no	—
1645	D₈	—	52	1	no	—
1646	D₈	—	52	1	no	—
1647	D₈	—	52	1	no	—
1648	M₁₆	—	4	1	no	—
1649	M₁₆	—	4	1	no	—
1650	M₁₆	—	52	1	no	—
1651	M₁₆	—	52	1	no	—
1652	C₂×C₈	—	13	1	no	—
1653	C₂×C₈	—	13	1	no	—
1654	C₂×C₈	—	13	1	no	—
1655	C₂×C₈	—	13	1	no	—
1656	C₂×C₈	—	52	1	no	—
1657	C₂×C₈	—	52	1	no	—
1658	C₂×C₈	—	52	1	no	—
1659	C₂×C₈	—	52	1	no	—
1660	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1661	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1662	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1663	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1664	C₄⋊C₄	—	2	1	no	—
1665	C₄⋊C₄	—	2	1	no	—
1666	C₄⋊C₄	—	2	1	no	—
1667	C₄⋊C₄	—	13	1	no	—
1668	C₄⋊C₄	—	13	1	no	—
1669	C₄⋊C₄	—	13	1	no	—
1670	C₄⋊C₄	—	13	1	no	—
1671	C₄⋊C₄	—	13	1	no	—
1672	C₄⋊C₄	—	13	1	no	—
1673	C₄⋊C₄	—	13	1	no	—
1674	C₄⋊C₄	—	13	1	no	—
1675	C₄⋊C₄	—	26	1	no	—
1676	C₄⋊C₄	—	26	1	no	—
1677	C₄⋊C₄	—	26	1	no	—
1678	C₄⋊C₄	—	26	1	no	—
1679	C₄⋊C₄	—	26	1	no	—
1680	C₄⋊C₄	—	26	1	no	—
1681	C₄⋊C₄	—	26	1	no	—
1682	C₄⋊C₄	—	26	1	no	—
1683	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1684	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1685	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1686	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	2	1	no	—
1695	C₂²⋊C₄	—	2	1	no	—
1696	C₂²⋊C₄	—	13	1	no	—
1697	C₂²⋊C₄	—	13	1	no	—
1698	C₂²⋊C₄	—	13	1	no	—
1699	C₂²⋊C₄	—	13	1	no	—
1700	C₂²⋊C₄	—	13	1	no	—
1701	C₂²⋊C₄	—	13	1	no	—
1702	C₂²⋊C₄	—	13	1	no	—
1703	C₂²⋊C₄	—	13	1	no	—
1704	C₂²⋊C₄	—	13	1	no	—
1705	C₂²⋊C₄	—	13	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₂²⋊C₄	—	26	1	no	—
1708	C₂²⋊C₄	—	26	1	no	—
1709	C₂²⋊C₄	—	26	1	no	—
1710	C₂²⋊C₄	—	26	1	no	—
1711	C₂²⋊C₄	—	26	1	no	—
1712	C₂²⋊C₄	—	26	1	no	—
1713	C₂²⋊C₄	—	26	1	no	—
1714	C₂²⋊C₄	—	26	1	no	—
1715	C₂²⋊C₄	—	26	1	no	—
1716	C₂²⋊C₄	—	26	1	no	—
1717	C₂²⋊C₄	—	26	1	no	—
1718	C₂²⋊C₄	—	26	1	no	—
1719	C₂²⋊C₄	—	26	1	no	—
1720	C₂²⋊C₄	—	26	1	no	—
1721	C₂²⋊C₄	—	26	1	no	—
1722	C₂²⋊C₄	—	26	1	no	—
1723	C₂²⋊C₄	—	26	1	no	—
1724	C₂²⋊C₄	—	26	1	no	—
1725	C₂²⋊C₄	—	26	1	no	—
1726	C₂²⋊C₄	—	26	1	no	—
1727	C₂²⋊C₄	—	26	1	no	—
1728	C₂²⋊C₄	—	26	1	no	—
1729	C₂²⋊C₄	—	26	1	no	—
1730	C₂²⋊C₄	—	26	1	no	—
1731	C₂²⋊C₄	—	26	1	no	—
1732	C₂²⋊C₄	—	26	1	no	—
1733	C₄²	—	2	1	no	—
1734	C₄²	—	13	1	no	—
1735	C₄²	—	13	1	no	—
1736	C₄²	—	26	1	no	—
1737	C₄²	—	26	1	no	—
1738	C₄²	—	26	1	no	—
1739	C₁₃	#61609	1	1	yes	characteristic, complemented, Sylow
1740	C₂³	—	2	2	no	—
1741	C₂³	—	2	1	no	—
1742	C₂³	—	2	1	no	—
1743	C₂³	—	2	1	no	—
1744	C₂³	—	4	1	no	—
1745	C₂³	—	4	1	no	—
1746	C₂³	—	4	2	no	—
1747	C₂³	—	8	1	no	—
1748	C₂³	—	8	1	no	—
1749	C₂³	—	13	1	no	—
1750	C₂³	—	13	1	no	—
1751	C₂³	—	26	4	no	—
1752	C₂³	—	26	1	no	—
1753	C₂³	—	26	1	no	—
1754	C₂³	—	26	1	no	—
1755	C₂³	—	26	1	no	—
1756	C₂³	—	26	1	no	—
1757	C₂³	—	52	2	no	—
1758	C₂³	—	52	2	no	—
1759	C₂³	—	52	2	no	—
1760	C₂³	—	52	2	no	—
1761	C₂³	—	52	2	no	—
1762	C₂³	—	52	2	no	—
1763	C₂³	—	52	2	no	—
1764	C₂³	—	52	2	no	—
1765	C₂³	—	52	2	no	—
1766	C₂³	—	52	2	no	—
1767	C₂³	—	52	2	no	—
1768	C₂³	—	104	1	no	—
1769	C₂³	—	104	1	no	—
1770	C₂³	—	104	1	no	—
1771	C₂³	—	104	1	no	—
1772	C₂³	—	104	1	no	—
1773	C₂³	—	104	1	no	—
1774	C₂³	—	104	1	no	—
1775	C₂³	—	104	1	no	—
1776	C₂³	—	104	1	no	—
1777	C₂³	—	104	1	no	—
1778	C₂³	—	104	1	no	—
1779	C₂³	—	104	1	no	—
1780	C₂³	—	104	1	no	—
1781	C₂³	—	104	1	no	—
1782	C₂³	—	104	1	no	—
1783	C₂³	—	104	16	no	—
1784	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1785	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1786	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1787	Q₈	—	2	1	no	—
1788	Q₈	—	2	1	no	—
1789	Q₈	—	26	1	no	—
1790	Q₈	—	26	1	no	—
1791	Q₈	—	52	1	no	—
1792	Q₈	—	104	1	no	—
1793	D₄	—	2	1	no	—
1794	D₄	—	2	1	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	4	2	no	—
1800	D₄	—	4	2	no	—
1801	D₄	—	4	2	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	8	1	no	—
1806	D₄	—	8	1	no	—
1807	D₄	—	13	2	no	—
1808	D₄	—	13	2	no	—
1809	D₄	—	26	4	no	—
1810	D₄	—	26	2	no	—
1811	D₄	—	26	2	no	—
1812	D₄	—	26	1	no	—
1813	D₄	—	26	1	no	—
1814	D₄	—	26	1	no	—
1815	D₄	—	26	1	no	—
1816	D₄	—	26	1	no	—
1817	D₄	—	26	1	no	—
1818	D₄	—	26	1	no	—
1819	D₄	—	26	1	no	—
1820	D₄	—	52	1	no	—
1821	D₄	—	52	2	no	—
1822	D₄	—	52	2	no	—
1823	D₄	—	52	2	no	—
1824	D₄	—	52	2	no	—
1825	D₄	—	52	2	no	—
1826	D₄	—	52	2	no	—
1827	D₄	—	52	2	no	—
1828	D₄	—	52	1	no	—
1829	D₄	—	52	1	no	—
1830	D₄	—	52	1	no	—
1831	D₄	—	52	1	no	—
1832	D₄	—	52	2	no	—
1833	D₄	—	52	2	no	—
1834	D₄	—	52	2	no	—
1835	D₄	—	104	1	no	—
1836	D₄	—	104	1	no	—
1837	D₄	—	104	1	no	—
1838	D₄	—	104	1	no	—
1839	D₄	—	104	1	no	—
1840	D₄	—	104	1	no	—
1841	D₄	—	104	1	no	—
1842	D₄	—	104	1	no	—
1843	D₄	—	104	1	no	—
1844	D₄	—	104	1	no	—
1845	D₄	—	104	1	no	—
1846	D₄	—	104	1	no	—
1847	D₄	—	104	1	no	—
1848	D₄	—	104	1	no	—
1849	D₄	—	104	1	no	—
1850	D₄	—	104	1	no	—
1851	D₄	—	104	1	no	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	2	1	no	—
1857	C₂×C₄	—	2	1	no	—
1858	C₂×C₄	—	2	1	no	—
1859	C₂×C₄	—	2	1	no	—
1860	C₂×C₄	—	2	1	no	—
1861	C₂×C₄	—	2	1	no	—
1862	C₂×C₄	—	2	1	no	—
1863	C₂×C₄	—	4	1	no	—
1864	C₂×C₄	—	4	1	no	—
1865	C₂×C₄	—	4	1	no	—
1866	C₂×C₄	—	4	2	no	—
1867	C₂×C₄	—	4	2	no	—
1868	C₂×C₄	—	13	1	no	—
1869	C₂×C₄	—	13	1	no	—
1870	C₂×C₄	—	13	1	no	—
1871	C₂×C₄	—	13	1	no	—
1872	C₂×C₄	—	13	1	no	—
1873	C₂×C₄	—	13	1	no	—
1874	C₂×C₄	—	26	1	no	—
1875	C₂×C₄	—	26	1	no	—
1876	C₂×C₄	—	26	1	no	—
1877	C₂×C₄	—	26	1	no	—
1878	C₂×C₄	—	26	1	no	—
1879	C₂×C₄	—	26	1	no	—
1880	C₂×C₄	—	26	1	no	—
1881	C₂×C₄	—	52	2	no	—
1882	C₂×C₄	—	52	2	no	—
1883	C₂×C₄	—	104	1	no	—
1884	C₂×C₄	—	104	1	no	—
1885	C₂×C₄	—	104	1	no	—
1886	C₂×C₄	—	104	1	no	—
1887	C₂×C₄	—	104	1	no	—
1888	C₂×C₄	—	104	1	no	—
1889	C₂×C₄	—	104	1	no	—
1890	C₂×C₄	—	104	1	no	—
1891	C₂×C₄	—	104	1	no	—
1892	C₂×C₄	—	104	1	no	—
1893	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1894	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1895	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1896	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1897	C₈	—	2	1	no	—
1898	C₈	—	2	1	no	—
1899	C₈	—	2	1	no	—
1900	C₈	—	2	1	no	—
1901	C₈	—	26	1	no	—
1902	C₈	—	26	1	no	—
1903	C₈	—	26	1	no	—
1904	C₈	—	26	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	2	1	no	—
1913	C₂²	—	4	4	no	—
1914	C₂²	—	4	1	no	—
1915	C₂²	—	4	1	no	—
1916	C₂²	—	4	1	no	—
1917	C₂²	—	4	1	no	—
1918	C₂²	—	4	1	no	—
1919	C₂²	—	4	1	no	—
1920	C₂²	—	4	1	no	—
1921	C₂²	—	4	1	no	—
1922	C₂²	—	4	1	no	—
1923	C₂²	—	16	2	no	—
1924	C₂²	—	26	1	no	—
1925	C₂²	—	26	1	no	—
1926	C₂²	—	26	2	no	—
1927	C₂²	—	26	2	no	—
1928	C₂²	—	26	1	no	—
1929	C₂²	—	26	1	no	—
1930	C₂²	—	26	1	no	—
1931	C₂²	—	26	1	no	—
1932	C₂²	—	52	1	no	—
1933	C₂²	—	52	1	no	—
1934	C₂²	—	52	1	no	—
1935	C₂²	—	52	1	no	—
1936	C₂²	—	52	1	no	—
1937	C₂²	—	52	1	no	—
1938	C₂²	—	52	1	no	—
1939	C₂²	—	52	1	no	—
1940	C₂²	—	52	1	no	—
1941	C₂²	—	52	1	no	—
1942	C₂²	—	52	1	no	—
1943	C₂²	—	52	1	no	—
1944	C₂²	—	52	1	no	—
1945	C₂²	—	104	4	no	—
1946	C₂²	—	104	4	no	—
1947	C₂²	—	104	4	no	—
1948	C₂²	—	104	4	no	—
1949	C₂²	—	104	4	no	—
1950	C₂²	—	104	4	no	—
1951	C₂²	—	208	2	no	—
1952	C₂²	—	208	2	no	—
1953	C₂²	—	208	2	no	—
1954	C₂²	#11719479	1	2	yes	—
1955	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	4	1	no	—
1960	C₄	—	4	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	26	1	no	—
1965	C₄	—	26	1	no	—
1966	C₄	—	26	1	no	—
1967	C₄	—	26	1	no	—
1968	C₄	—	26	1	no	—
1969	C₄	—	26	1	no	—
1970	C₄	—	52	1	no	—
1971	C₄	—	52	1	no	—
1972	C₄	—	52	1	no	—
1973	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1974	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1975	C₂	—	2	2	no	—
1976	C₂	—	4	1	no	—
1977	C₂	—	4	1	no	—
1978	C₂	—	8	1	no	—
1979	C₂	—	8	1	no	—
1980	C₂	—	8	1	no	—
1981	C₂	—	52	1	no	—
1982	C₂	—	52	1	no	—
1983	C₂	—	52	2	no	—
1984	C₂	—	52	2	no	—
1985	C₂	—	104	1	no	—
1986	C₂	—	104	1	no	—
1987	C₂	—	104	1	no	—
1988	C₂	#13128468	1	1	yes	characteristic
1989	C₂	C₂×#11719479	1	1	yes	characteristic
1990	C₂	#13129613	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3194	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3194	D₁₃
hypocenter	C₁₃	#61609
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3194

Complements

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

N	H ≅ G/N	type
1. #13129156	C₂	semidirect
2. #13128469	C₂	semidirect
3. #13127073	C₂	semidirect
4. #13127043	C₂	semidirect
5. #13126987	C₂	semidirect
6. #13126972	C₂	semidirect
7. #13126855	C₂	semidirect
8. #13126795	C₂	semidirect
9. #13126669	C₂	semidirect
10. #13126647	C₂	semidirect
11. #13126514	C₂	semidirect
12. #13126506	C₂	semidirect
13. #13126453	C₂	semidirect
14. #13126444	C₂	semidirect
15. #13126383	C₂	semidirect
16. #13126323	C₂	semidirect
17. #13126320	C₂	semidirect
18. #13126309	C₂	semidirect
19. #13125928	C₂	semidirect
20. #13125884	C₂	semidirect
21. #13125700	C₂	semidirect
22. #13125686	C₂	semidirect
23. #13125624	C₂	semidirect
24. #13125075	C₂	semidirect
25. #13125015	C₂	semidirect
26. #13124138	C₂	semidirect
27. #13124101	C₂	semidirect
28. #13124066	C₂	semidirect
29. C₂×#11718697	C₂	semidirect
30. #13123886	C₂	semidirect
31. C₁₃×#3194	C₂	semidirect
32. C₂×#88256	C₂²	semidirect
33. C₂³×D₅₂	C₂²	semidirect
34. C₁₃×#525	C₂²	semidirect
35. C₂×C₁₃×#121	C₂²	semidirect
36. #11719535	C₂²	semidirect
37. #11719511	C₂²	semidirect
40. D₄×C₂²⋊D₁₃	C₂²	semidirect
41. C₂²×#6104	C₂²	semidirect
42. C₂²×#6104	C₂²	semidirect
44. #11719496	C₂²	semidirect
45. C₂×#88170	C₂²	semidirect
46. C₂×#88168	C₂²	semidirect
47. C₂×#88165	C₂²	semidirect
48. C₂×D₈×D₁₃	C₂²	semidirect
49. C₂×#88162	C₂²	semidirect
50. C₂×#88162	C₂²	semidirect
54. #11719335	C₂²	semidirect
55. #11719335	C₂²	semidirect
56. #11719335	C₂²	semidirect
59. #11719324	C₂²	semidirect
60. #11719321	C₂²	semidirect
62. #11719319	C₂²	semidirect
64. #11719317	C₂²	semidirect
66. #11719314	C₂²	semidirect
67. #11719314	C₂²	semidirect
68. #11719314	C₂²	semidirect
69. #11719313	C₂²	semidirect
70. #11719312	C₂²	semidirect
71. #11719308	C₂²	semidirect
72. #11719304	C₂²	semidirect
79. #11719230	C₂²	semidirect
80. #11719226	C₂²	semidirect
81. #11719218	C₂²	semidirect
82. #11719212	C₂²	semidirect
85. C₁₃×#483	C₂²	semidirect
86. C₁₃×#482	C₂²	semidirect
87. C₁₃×#482	C₂²	semidirect
88. C₁₃×#480	C₂²	semidirect
89. C₁₃×#469	C₂²	semidirect
90. C₁₃×#469	C₂²	semidirect
91. C₁₃×#468	C₂²	semidirect
92. C₁₃×#468	C₂²	semidirect
93. C₁₃×#450	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#447	C₂²	semidirect
97. C₁₃×#407	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. C₂×C₂²⋊#1055	C₂²	semidirect
101. #11718837	C₂²	semidirect
102. #11718833	C₂²	semidirect
103. #11718833	C₂²	semidirect
104. #11718829	C₂²	semidirect
105. #11718826	C₂²	semidirect
106. #11718826	C₂²	semidirect
107. #11718817	C₂²	semidirect
108. #11718817	C₂²	semidirect
109. #11718815	C₂²	semidirect
110. #11718812	C₂²	semidirect
111. #11718811	C₂²	semidirect
112. #11718811	C₂²	semidirect
113. #11718792	C₂²	semidirect
114. #11718792	C₂²	semidirect
115. #11718789	C₂²	semidirect
116. #11718789	C₂²	semidirect
117. #11718788	C₂²	semidirect
118. #11718788	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718706	C₂²	semidirect
123. #11718702	C₂²	semidirect
124. #11718699	C₂²	semidirect
125. #11718698	C₂²	semidirect
127. #11718697	C₂²	semidirect
128. #11718697	C₂²	semidirect
129. #11718697	C₂²	semidirect
130. #11718697	C₂²	semidirect
131. #11718697	C₂²	semidirect
132. #11718697	C₂²	semidirect
133. #11718697	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718664	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. C₂×#88049	C₂²	semidirect
138. C₂×#88049	C₂²	semidirect
139. #11718552	C₂²	semidirect
140. #11718551	C₂²	semidirect
141. #11718550	C₂²	semidirect
142. #11718547	C₂²	semidirect
143. #11718546	C₂²	semidirect
144. #11718544	C₂²	semidirect
145. #11718543	C₂²	semidirect
146. #11718533	C₂²	semidirect
147. #11718532	C₂²	semidirect
148. #11718531	C₂²	semidirect
149. #11718530	C₂²	semidirect
150. #11718527	C₂²	semidirect
151. #11718526	C₂²	semidirect
152. #11718525	C₂²	semidirect
153. #11718524	C₂²	semidirect
154. #11718513	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718471	C₂²	semidirect
158. #11718465	C₂²	semidirect
159. #11718464	C₂²	semidirect
160. #11718461	C₂²	semidirect
161. #11718459	C₂²	semidirect
162. #11718456	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718448	C₂²	semidirect
165. #11718447	C₂²	semidirect
166. #11718447	C₂²	semidirect
167. #11718447	C₂²	semidirect
168. #11718446	C₂²	semidirect
169. #11718446	C₂²	semidirect
170. #11718443	C₂²	semidirect
171. #11718443	C₂²	semidirect
172. #11718442	C₂²	semidirect
173. #11718442	C₂²	semidirect
174. #11718437	C₂²	semidirect
175. #11718436	C₂²	semidirect
176. #11718436	C₂²	semidirect
177. #11718434	C₂²	semidirect
178. #11718434	C₂²	semidirect
179. #11718434	C₂²	semidirect
180. #11718431	C₂²	semidirect
181. D₁₃×#102	C₂²	semidirect
182. #11718425	C₂²	semidirect
183. #11718423	C₂²	semidirect
184. #11718421	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718393	C₂²	semidirect
188. #11718393	C₂²	semidirect
189. #11718393	C₂²	semidirect
190. #11718393	C₂²	semidirect
191. #11718392	C₂²	semidirect
192. #11718392	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718391	C₂²	semidirect
197. #11718388	C₂²	semidirect
198. #11718388	C₂²	semidirect
199. #11718386	C₂²	semidirect
200. #11718386	C₂²	semidirect
201. #11718381	C₂²	semidirect
202. #11718381	C₂²	semidirect
213. C₂×#6129	C₂³	semidirect
222. C₂×D₄×D₁₃	C₂³	semidirect
239. C₂×C₁₃×SD₁₆	C₂³	semidirect
240. C₂×C₁₃×SD₁₆	C₂³	semidirect
241. C₂×C₁₃×D₈	C₂³	semidirect
242. C₂×C₁₃×D₈	C₂³	semidirect
270. C₂×#6107	C₂³	semidirect
271. C₂×#6106	C₂³	semidirect
276. #88194	C₂³	semidirect
287. #88192	C₂³	semidirect
288. #88192	C₂³	semidirect
300. #88190	C₂³	semidirect
304. D₄×Dic₁₃	C₂³	semidirect
305. D₄×Dic₁₃	C₂³	semidirect
306. C₂×#6105	C₂³	semidirect
317. C₂×#6104	C₂³	semidirect
358. C₂×#6094	C₂³	semidirect
359. C₂×#6094	C₂³	semidirect
360. C₂×C₈×D₁₃	C₂³	semidirect
361. C₂×C₈×D₁₃	C₂³	semidirect
363. #88151	C₂³	semidirect
373. #88149	C₂³	semidirect
383. #88147	C₂³	semidirect
384. #88146	C₂³	semidirect
385. C₄⋊C₄×D₁₃	C₂³	semidirect
386. #88144	C₂³	semidirect
388. #88142	C₂³	semidirect
389. #88141	C₂³	semidirect
430. C₁₃×#107	C₂³	semidirect
431. C₁₃×#107	C₂³	semidirect
432. C₁₃×#106	C₂³	semidirect
433. C₁₃×#106	C₂³	semidirect
434. C₁₃×#103	C₂³	semidirect
435. C₁₃×#103	C₂³	semidirect
436. C₁₃×#102	C₂³	semidirect
437. C₁₃×#102	C₂³	semidirect
438. C₁₃×#102	C₂³	semidirect
439. C₁₃×#102	C₂³	semidirect
440. C₁₃×#102	C₂³	semidirect
441. C₁₃×#102	C₂³	semidirect
446. #88075	C₂³	semidirect
447. #88075	C₂³	semidirect
448. #88072	C₂³	semidirect
449. #88072	C₂³	semidirect
462. #88060	C₂³	semidirect
463. #88060	C₂³	semidirect
464. #88060	C₂³	semidirect
465. #88060	C₂³	semidirect
466. #88055	C₂³	semidirect
467. #88055	C₂³	semidirect
468. #88054	C₂³	semidirect
469. #88054	C₂³	semidirect
470. #88054	C₂³	semidirect
471. #88054	C₂³	semidirect
472. C₈×Dic₁₃	C₂³	semidirect
473. C₈×Dic₁₃	C₂³	semidirect
474. #88050	C₂³	semidirect
475. #88050	C₂³	semidirect
484. #88049	C₂³	semidirect
485. #88049	C₂³	semidirect
486. #88048	C₂³	semidirect
487. #88048	C₂³	semidirect
488. #88047	C₂³	semidirect
489. #88047	C₂³	semidirect
767. #3194	D₁₃	semidirect
989. #525	C₂×D₁₃	semidirect
990. C₂×#121	C₂×D₁₃	semidirect
1004. #483	C₂×D₁₃	semidirect
1009. #482	C₂×D₁₃	semidirect
1010. #482	C₂×D₁₃	semidirect
1013. #480	C₂×D₁₃	semidirect
1021. #469	C₂×D₁₃	semidirect
1022. #469	C₂×D₁₃	semidirect
1024. #468	C₂×D₁₃	semidirect
1025. #468	C₂×D₁₃	semidirect
1054. #450	C₂×D₁₃	semidirect
1062. #449	C₂×D₁₃	semidirect
1063. #449	C₂×D₁₃	semidirect
1081. #447	C₂×D₁₃	semidirect
1110. #407	C₂×D₁₃	semidirect
1230. C₂×SD₁₆	C₂²×D₁₃	semidirect
1231. C₂×SD₁₆	C₂²×D₁₃	semidirect
1248. C₂×D₈	C₂²×D₁₃	semidirect
1249. C₂×D₈	C₂²×D₁₃	semidirect
1411. #107	C₂²×D₁₃	semidirect
1412. #107	C₂²×D₁₃	semidirect
1415. #106	C₂²×D₁₃	semidirect
1416. #106	C₂²×D₁₃	semidirect
1425. #103	C₂²×D₁₃	semidirect
1426. #103	C₂²×D₁₃	semidirect
1447. #102	C₂²×D₁₃	semidirect
1448. #102	C₂²×D₁₃	semidirect
1449. #102	C₂²×D₁₃	semidirect
1450. #102	C₂²×D₁₃	semidirect
1451. #102	C₂²×D₁₃	semidirect
1452. #102	C₂²×D₁₃	semidirect
1739. C₁₃	#61609	semidirect

Maximal subgroups

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

subgroup	index
#13129156	2
#13128469	2
#13127073	2
#13127043	2
#13126987	2
#13126972	2
#13126855	2
#13126795	2
#13126669	2
#13126647	2
#13126514	2
#13126506	2
#13126453	2
#13126444	2
#13126383	2
#13126323	2
#13126320	2
#13126309	2
#13125928	2
#13125884	2
#13125700	2
#13125686	2
#13125624	2
#13125075	2
#13125015	2
#13124138	2
#13124101	2
#13124066	2
C₂×#11718697	2
#13123886	2
C₁₃×#3194	2
#61609	13