Subgroups — #16740386

Order 3328.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128544	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128493	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127168	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127167	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127161	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127160	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127111	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127108	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127092	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127089	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126968	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126967	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126942	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126844	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126843	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126826	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126823	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125187	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124760	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124671	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124509	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124447	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124378	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124152	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124079	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123678	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123534	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123364	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88254	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719539	C₂²	1	1	yes	characteristic
37	#11719522	C₂²	1	1	yes	characteristic
38	C₂×#88173	C₂²	1	1	yes	characteristic
39	C₂×#88172	C₂²	1	1	yes	characteristic
40	C₂×#88168	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88155	C₂²	1	1	yes	characteristic
43	#11719434	C₂²	1	1	yes	characteristic
44	#11719431	C₂²	1	1	yes	characteristic, complemented
45	#11719398	—	2	1	no	—
46	#11719397	—	2	1	no	—
47	#11719382	—	2	1	no	—
48	#11719382	C₂²	1	1	yes	characteristic
49	#11719379	—	2	1	no	—
50	#11719379	C₂²	1	1	yes	characteristic
51	#11719344	C₂²	1	1	yes	characteristic, complemented
52	#11719343	—	2	1	no	—
53	#11719341	—	2	1	no	—
54	#11719340	C₂²	1	1	yes	characteristic, complemented
55	#11719338	—	2	1	no	—
56	#11719338	C₂²	1	1	yes	characteristic
57	#11719336	—	2	1	no	—
58	#11719334	C₂²	1	1	yes	characteristic
59	#11719332	—	2	1	no	—
60	#11719332	—	2	1	no	—
61	#11719332	C₂²	1	1	yes	characteristic
62	#11719332	C₂²	1	1	yes	characteristic
63	#11719312	—	2	1	no	—
64	#11719312	C₂²	1	1	yes	characteristic
65	#11719304	—	2	1	no	—
66	#11719304	C₂²	1	1	yes	characteristic
67	#11719286	C₂²	1	1	yes	characteristic, complemented
68	#11719282	C₂²	1	1	yes	characteristic
69	#11719279	C₂²	1	1	yes	characteristic
70	#11719277	C₂²	1	1	yes	characteristic
71	#11719270	C₂²	1	1	yes	characteristic, complemented
72	#11719258	—	2	1	no	—
73	#11719258	C₂²	1	1	yes	characteristic
74	#11719252	—	2	1	no	—
75	#11719252	—	2	1	no	—
76	#11719252	C₂²	1	1	yes	characteristic
77	#11719245	—	2	1	no	—
78	#11719219	C₂²	1	1	yes	characteristic, complemented
79	#11719212	C₂²	1	1	yes	characteristic, complemented
80	#11719209	C₂²	1	1	yes	characteristic
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic
96	#11718893	C₂²	1	1	yes	characteristic
97	#11718888	C₂²	1	1	yes	characteristic, complemented
98	#11718886	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
105	#11718835	C₂²	1	1	yes	characteristic, complemented
106	#11718834	C₂²	1	1	yes	characteristic
107	#11718824	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718752	C₂²	1	1	yes	characteristic, complemented
115	#11718749	C₂²	1	1	yes	characteristic, complemented
116	#11718718	C₂²	1	1	yes	characteristic, complemented
117	#11718717	C₂²	1	1	yes	characteristic, complemented
118	#11718710	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718710	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718704	C₂²	1	1	yes	characteristic, complemented
124	#11718700	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
127	#11718688	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
129	#11718683	C₂²	1	1	yes	characteristic, complemented
130	#11718673	C₂²	1	1	yes	characteristic, complemented
131	#11718628	C₂²	1	1	yes	characteristic, complemented
132	#11718628	C₂²	1	1	yes	characteristic, complemented
133	#11718627	C₂²	1	1	yes	characteristic
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718527	C₂²	1	1	yes	characteristic, complemented
136	#11718526	C₂²	1	1	yes	characteristic, complemented
137	#11718526	C₂²	1	1	yes	characteristic, complemented
138	#11718524	C₂²	1	1	yes	characteristic, complemented
139	#11718524	C₂²	1	1	yes	characteristic, complemented
140	#11718524	C₂²	1	1	yes	characteristic, complemented
141	#11718522	C₂²	1	1	yes	characteristic
142	#11718522	C₂²	1	1	yes	characteristic
143	#11718521	C₂²	1	1	yes	characteristic
144	#11718518	C₂²	1	1	yes	characteristic, complemented
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718504	C₂²	1	1	yes	characteristic, complemented
148	#11718500	C₂²	1	1	yes	characteristic
149	#11718499	C₂²	1	1	yes	characteristic, complemented
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718478	C₂²	1	1	yes	characteristic, complemented
153	#11718473	C₂²	1	1	yes	characteristic, complemented
154	#11718473	C₂²	1	1	yes	characteristic, complemented
155	#11718472	C₂²	1	1	yes	characteristic
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718470	C₂²	1	1	yes	characteristic, complemented
158	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718468	C₂²	1	1	yes	characteristic, complemented
160	#11718467	C₂²	1	1	yes	characteristic, complemented
161	#11718465	C₂²	1	1	yes	characteristic
162	#11718465	C₂²	1	1	yes	characteristic
163	#11718465	C₂²	1	1	yes	characteristic, complemented
164	#11718464	C₂²	1	1	yes	characteristic
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718464	C₂²	1	1	yes	characteristic
167	#11718464	C₂²	1	1	yes	characteristic
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	#11718463	C₂²	1	1	yes	characteristic
170	#11718463	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#103	C₂²	1	1	yes	characteristic
172	D₁₃×#103	C₂²	1	1	yes	characteristic
173	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
174	#11718461	C₂²	1	1	yes	characteristic, complemented
175	#11718460	C₂²	1	1	yes	characteristic, complemented
176	#11718456	C₂²	1	1	yes	characteristic, complemented
177	#11718455	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718447	C₂²	1	1	yes	characteristic, complemented
180	#11718442	C₂²	1	1	yes	characteristic
181	#11718440	C₂²	1	1	yes	characteristic, complemented
182	#11718436	C₂²	1	1	yes	characteristic, complemented
183	#11718435	C₂²	1	1	yes	characteristic, complemented
184	#11718432	C₂²	1	1	yes	characteristic
185	#11718432	C₂²	1	1	yes	characteristic
186	#11718431	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	D₁₃×#102	C₂²	1	1	yes	characteristic
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718421	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic
194	#11718395	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718390	C₂²	1	1	yes	characteristic, complemented
197	#11718388	C₂²	1	1	yes	characteristic
198	#11718387	C₂²	1	1	yes	characteristic
199	#11718374	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718369	C₂²	1	1	yes	characteristic
202	#11718367	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	#88254	—	2	4	no	—
208	#88254	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	—	2	1	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	—	2	1	no	—
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂×#6127	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#125	—	2	1	no	—
239	C₁₃×#124	—	2	1	no	—
240	C₁₃×#124	C₂³	1	1	yes	characteristic
241	C₁₃×C₂²⋊Q₈	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	#88201	—	2	1	no	—
257	#88201	C₂³	1	1	yes	characteristic
258	#88200	—	2	1	no	—
259	#88200	—	2	1	no	—
260	#88200	—	2	1	no	—
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	#88200	C₂³	1	1	yes	characteristic
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
266	#88198	—	2	1	no	—
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	C₂×#6106	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	C₂×#6106	C₂³	1	1	yes	characteristic
272	#88194	—	2	1	no	—
273	#88194	—	2	1	no	—
274	#88194	—	2	1	no	—
275	#88194	—	2	1	no	—
276	#88194	C₂³	1	1	yes	characteristic
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	D₄	1	1	yes	characteristic
280	#88192	—	2	1	no	—
281	#88192	C₂³	1	1	yes	characteristic
282	#88191	—	2	1	no	—
283	#88191	D₄	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	#88184	—	2	1	no	—
286	#88184	—	2	1	no	—
287	#88184	—	2	1	no	—
288	#88184	C₂³	1	1	yes	characteristic
289	#88184	C₂³	1	1	yes	characteristic
290	#88184	C₂³	1	1	yes	characteristic
291	#88184	C₂³	1	1	yes	characteristic
292	#88183	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
300	#88180	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×#6101	—	2	1	no	—
303	C₂×#6099	C₂³	1	1	yes	characteristic
304	C₂×#6099	C₂³	1	1	yes	characteristic
305	#88173	—	4	2	no	—
306	#88172	—	2	4	no	—
307	#88168	—	4	2	no	—
308	M₁₆×D₁₃	—	4	2	no	—
309	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
310	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
311	C₂×#6095	C₂³	1	1	yes	characteristic
312	#88155	—	4	2	no	—
313	C₂×#6094	C₂³	1	1	yes	characteristic
314	C₂×#6094	C₂³	1	1	yes	characteristic
315	C₂×#6094	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	#88152	—	2	1	no	—
322	#88152	—	2	1	no	—
323	#88151	—	2	1	no	—
324	#88150	—	2	1	no	—
325	#88150	—	2	1	no	—
326	#88150	—	2	1	no	—
327	#88150	—	2	1	no	—
328	#88150	D₄	1	1	yes	characteristic
329	#88149	—	2	1	no	—
330	#88149	—	2	1	no	—
331	#88149	—	2	1	no	—
332	#88149	C₂³	1	1	yes	characteristic
333	#88149	C₂³	1	1	yes	characteristic
334	#88149	C₂³	1	1	yes	characteristic
335	#88149	C₂³	1	1	yes	characteristic
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88148	—	2	1	no	—
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88148	D₄	1	1	yes	characteristic
344	#88147	—	2	1	no	—
345	#88147	—	2	1	no	—
346	#88147	—	2	1	no	—
347	#88147	—	2	1	no	—
348	#88147	—	2	1	no	—
349	#88147	—	2	1	no	—
350	#88147	C₂³	1	1	yes	characteristic
351	#88146	—	2	1	no	—
352	#88146	—	2	1	no	—
353	#88146	C₂³	1	1	yes	characteristic
354	#88146	C₂³	1	1	yes	characteristic
355	#88146	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₃	—	2	1	no	—
357	C₄⋊C₄×D₁₃	—	2	1	no	—
358	C₄⋊C₄×D₁₃	—	2	1	no	—
359	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
360	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
361	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	#88144	C₂³	1	1	yes	characteristic
365	#88143	—	2	1	no	—
366	#88143	—	2	1	no	—
367	#88143	—	2	1	no	—
368	#88143	—	2	1	no	—
369	#88142	C₂³	1	1	yes	characteristic
370	#88141	—	2	1	no	—
371	#88141	—	2	1	no	—
372	#88141	C₂³	1	1	yes	characteristic
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	D₄	1	1	yes	characteristic
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	D₄	1	1	yes	characteristic
389	#88136	—	2	1	no	—
390	#88136	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	D₄	1	1	yes	characteristic
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88133	—	2	1	no	—
402	#88132	—	2	1	no	—
403	#88132	—	2	1	no	—
404	#88132	D₄	1	1	yes	characteristic
405	#88130	—	2	1	no	—
406	#88128	—	2	1	no	—
407	#88128	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	—	2	1	no	—
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	#88126	—	2	1	no	—
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	#88124	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88058	C₂³	1	1	yes	characteristic
460	#88058	C₂³	1	1	yes	characteristic
461	#88057	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	C₄×#1055	C₂³	1	1	yes	characteristic
487	#61178	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₁₃×#41	—	2	2	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	2	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
527	#6131	—	2	2	no	—
528	#6131	—	2	2	no	—
529	#6131	—	2	2	no	—
530	#6131	—	2	2	no	—
531	#6131	—	2	2	no	—
532	#6131	—	2	2	no	—
533	#6131	—	4	1	no	—
534	#6131	—	4	1	no	—
535	#6131	—	4	4	no	—
536	#6131	—	8	2	no	—
537	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	4	4	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	Q₈×D₁₃	#41	1	4	yes	complemented
542	#6129	—	2	2	no	—
543	#6129	—	4	1	no	—
544	#6129	—	4	4	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	2	2	no	—
547	D₄×D₁₃	—	4	4	no	—
548	#6127	—	2	2	no	—
549	#6127	—	2	2	no	—
550	#6127	—	2	2	no	—
551	#6127	—	2	2	no	—
552	#6127	—	4	4	no	—
553	#6127	—	4	1	no	—
554	#6127	—	4	1	no	—
555	#6127	—	4	4	no	—
556	#6127	—	4	4	no	—
557	#6127	—	8	2	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	—	2	1	no	—
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	—	2	1	no	—
562	C₂×D₅₂	—	2	1	no	—
563	C₂×D₅₂	—	2	1	no	—
564	C₂×D₅₂	—	2	1	no	—
565	C₂×D₅₂	—	2	1	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
569	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
570	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
571	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
572	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	2	no	—
575	C₂×C₄×D₁₃	—	2	2	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	4	4	no	—
591	C₂×C₄×D₁₃	—	8	2	no	—
592	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
601	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
602	C₁₃×Q₁₆	—	2	2	no	—
603	C₁₃×Q₁₆	—	4	1	no	—
604	C₁₃×SD₁₆	—	4	1	no	—
605	C₁₃×M₁₆	—	4	1	no	—
606	C₂×C₈×C₁₃	—	4	1	no	—
607	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₄²×C₁₃	—	2	1	no	—
633	C₄²×C₁₃	—	2	1	no	—
634	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
638	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
639	#6107	—	2	2	no	—
640	#6106	—	2	2	no	—
641	#6106	—	4	1	no	—
642	#6106	—	4	1	no	—
643	#6106	—	4	1	no	—
644	#6104	—	4	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	C₂×D₄	1	1	yes	characteristic
664	#6103	C₂×D₄	1	1	yes	characteristic
665	#6103	C₂×D₄	1	1	yes	characteristic
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	—	2	1	no	—
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	C₂×D₄	1	1	yes	characteristic
693	#6101	C₂×D₄	1	1	yes	characteristic
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6099	—	4	1	no	—
706	#6099	—	4	1	no	—
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	D₁₀₄	—	4	1	no	—
712	D₁₀₄	—	4	1	no	—
713	#6095	—	2	2	no	—
714	#6094	—	2	2	no	—
715	#6094	—	2	2	no	—
716	#6094	—	4	1	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	4	1	no	—
722	#3492	—	13	1	no	—
723	#3487	—	13	1	no	—
724	#3333	—	13	1	no	—
725	#3333	—	13	1	no	—
726	#3332	—	13	1	no	—
727	#3332	—	13	1	no	—
728	#3327	—	13	1	no	—
729	#3327	—	13	1	no	—
730	#3326	—	13	1	no	—
731	#3326	—	13	1	no	—
732	#3317	—	13	1	no	—
733	#3317	—	13	1	no	—
734	#3316	—	13	1	no	—
735	#3316	D₁₃	1	1	yes	characteristic, complemented
736	#3309	—	13	1	no	—
737	#3309	—	13	1	no	—
738	#3308	—	13	1	no	—
739	#3308	—	13	1	no	—
740	#3136	—	13	1	no	—
741	#3096	—	13	1	no	—
742	#3092	—	13	1	no	—
743	#3082	—	13	1	no	—
744	#3062	—	13	1	no	—
745	#3054	—	13	1	no	—
746	#3045	—	13	1	no	—
747	#3013	—	13	1	no	—
748	#3005	—	13	1	no	—
749	#2947	—	13	1	no	—
750	#2930	—	13	1	no	—
751	#2898	—	13	1	no	—
752	C₂×#417	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	—	2	2	no	—
757	C₂²×D₁₃	—	2	1	no	—
758	C₂²×D₁₃	—	2	1	no	—
759	C₂²×D₁₃	—	2	1	no	—
760	C₂²×D₁₃	—	4	1	no	—
761	C₂²×D₁₃	—	4	1	no	—
762	C₂²×D₁₃	—	4	2	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	—	8	1	no	—
765	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
768	Q₈×C₁₃	—	2	1	no	—
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	4	2	no	—
774	Q₈×C₁₃	—	8	1	no	—
775	Q₈×C₁₃	C₂×#41	1	2	yes	—
776	D₄×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	4	1	no	—
779	D₄×C₁₃	—	4	2	no	—
780	D₄×C₁₃	—	8	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	4	2	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
801	C₂²⋊D₁₃	—	2	2	no	—
802	C₂²⋊D₁₃	—	2	2	no	—
803	C₂²⋊D₁₃	—	4	1	no	—
804	C₂²⋊D₁₃	—	4	1	no	—
805	C₂²⋊D₁₃	—	4	2	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂²⋊D₁₃	—	4	2	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	4	2	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	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	2	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	4	2	no	—
823	C₂×Dic₁₃	—	8	1	no	—
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	D₅₂	—	2	2	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	2	1	no	—
833	D₅₂	—	2	1	no	—
834	D₅₂	—	2	1	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	4	1	no	—
837	D₅₂	—	4	2	no	—
838	D₅₂	—	4	2	no	—
839	D₅₂	—	4	2	no	—
840	D₅₂	—	4	2	no	—
841	D₅₂	—	4	2	no	—
842	D₅₂	—	8	1	no	—
843	D₅₂	—	8	1	no	—
844	D₅₂	—	8	1	no	—
845	D₅₂	—	8	1	no	—
846	D₅₂	—	8	1	no	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	2	4	no	—
849	C₄×D₁₃	—	2	1	no	—
850	C₄×D₁₃	—	2	1	no	—
851	C₄×D₁₃	—	2	1	no	—
852	C₄×D₁₃	—	2	1	no	—
853	C₄×D₁₃	—	2	2	no	—
854	C₄×D₁₃	—	4	2	no	—
855	C₄×D₁₃	—	4	2	no	—
856	C₄×D₁₃	—	4	2	no	—
857	C₄×D₁₃	—	4	2	no	—
858	C₄×D₁₃	—	4	2	no	—
859	C₄×D₁₃	—	4	2	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	8	1	no	—
864	C₄×D₁₃	—	8	1	no	—
865	C₄×D₁₃	—	8	1	no	—
866	C₄×D₁₃	—	8	1	no	—
867	C₄×D₁₃	—	8	1	no	—
868	C₄×D₁₃	C₂×#41	1	2	yes	—
869	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	2	4	no	—
872	Dic₂₆	—	2	2	no	—
873	Dic₂₆	—	4	2	no	—
874	Dic₂₆	—	8	1	no	—
875	Dic₂₆	C₂×#41	1	2	yes	—
876	C₈×C₁₃	—	2	1	no	—
877	C₈×C₁₃	—	2	1	no	—
878	C₈×C₁₃	—	2	1	no	—
879	C₈×C₁₃	—	2	1	no	—
880	#1055	—	2	1	no	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	C₂×2₋¹⁺⁴	—	13	1	no	—
885	C₂²×#41	—	13	1	no	—
886	C₂×#137	—	13	1	no	—
887	C₂×AGL(1,ℤ/8)	—	13	1	no	—
888	C₂×#135	—	13	1	no	—
889	C₂×#131	—	13	1	no	—
890	C₂²×M₁₆	—	13	1	no	—
891	#554	—	13	1	no	—
892	#554	—	26	1	no	—
893	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
894	#553	—	13	1	no	—
895	#553	—	13	1	no	—
896	#553	—	26	1	no	—
897	#552	—	13	1	no	—
898	#552	—	13	1	no	—
899	#552	—	26	1	no	—
900	#550	—	13	1	no	—
901	#550	—	13	1	no	—
902	#550	—	13	1	no	—
903	#550	—	13	1	no	—
904	#550	—	26	1	no	—
905	#550	—	26	1	no	—
906	#548	—	13	1	no	—
907	#548	—	13	1	no	—
908	#548	—	13	1	no	—
909	#548	—	26	1	no	—
910	#548	—	26	1	no	—
911	#548	C₂×D₁₃	1	1	yes	characteristic
912	#547	—	13	1	no	—
913	#547	—	13	1	no	—
914	#547	—	26	1	no	—
915	#544	—	13	1	no	—
916	#539	—	26	1	no	—
917	#539	—	26	1	no	—
918	#537	—	13	1	no	—
919	#535	—	13	1	no	—
920	#535	—	13	1	no	—
921	#535	—	26	1	no	—
922	#535	—	26	1	no	—
923	#525	—	13	1	no	—
924	#525	—	13	1	no	—
925	#525	—	13	1	no	—
926	#525	—	26	1	no	—
927	#525	—	26	1	no	—
928	#525	—	26	1	no	—
929	#525	—	26	1	no	—
930	#520	—	13	1	no	—
931	#520	—	13	1	no	—
932	#519	—	13	1	no	—
933	C₂²×C₄⋊C₄	—	13	1	no	—
934	#490	—	13	1	no	—
935	#490	—	13	1	no	—
936	#489	—	13	1	no	—
937	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#488	—	13	1	no	—
939	#488	—	13	1	no	—
940	#486	—	13	1	no	—
941	#486	—	13	1	no	—
942	#484	—	13	1	no	—
943	#484	—	13	1	no	—
944	#483	—	13	1	no	—
945	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#482	—	13	1	no	—
947	#482	—	13	1	no	—
948	#482	—	13	1	no	—
949	#482	—	13	1	no	—
950	#481	—	13	1	no	—
951	#481	—	13	1	no	—
952	#481	—	13	1	no	—
953	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#480	—	13	1	no	—
955	#480	—	13	1	no	—
956	#480	—	13	1	no	—
957	#480	—	13	1	no	—
958	#479	—	13	1	no	—
959	#479	—	13	1	no	—
960	#479	—	13	1	no	—
961	#479	—	13	1	no	—
962	#477	—	13	1	no	—
963	#477	—	13	1	no	—
964	#475	—	13	1	no	—
965	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#470	—	13	1	no	—
967	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#469	—	13	1	no	—
969	#469	—	13	1	no	—
970	#469	—	13	1	no	—
971	#469	—	13	1	no	—
972	#468	—	13	1	no	—
973	#468	—	13	1	no	—
974	#468	—	13	1	no	—
975	#468	—	13	1	no	—
976	#468	—	13	1	no	—
977	#468	—	13	1	no	—
978	#466	—	13	1	no	—
979	#466	—	13	1	no	—
980	#465	—	13	1	no	—
981	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#464	—	13	1	no	—
983	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#463	—	13	1	no	—
985	#463	—	13	1	no	—
986	#460	—	13	1	no	—
987	#460	—	13	1	no	—
988	#459	—	13	1	no	—
989	#459	—	13	1	no	—
990	#452	—	13	1	no	—
991	#452	—	13	1	no	—
992	#452	—	13	1	no	—
993	#452	—	13	1	no	—
994	#452	—	13	1	no	—
995	#452	C₂×D₁₃	1	1	yes	characteristic
996	#451	—	13	1	no	—
997	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#448	—	13	1	no	—
1005	#448	—	13	1	no	—
1006	#441	—	13	1	no	—
1007	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#440	—	13	1	no	—
1009	#440	—	13	1	no	—
1010	C₄×Q₁₆	—	13	1	no	—
1011	C₄×Q₁₆	—	13	1	no	—
1012	C₄×SD₁₆	—	13	1	no	—
1013	C₄×SD₁₆	—	13	1	no	—
1014	#436	—	13	1	no	—
1015	#436	—	13	1	no	—
1016	#436	—	13	1	no	—
1017	#436	—	13	1	no	—
1018	#435	—	13	1	no	—
1019	#435	—	13	1	no	—
1020	#435	—	13	1	no	—
1021	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#428	—	13	1	no	—
1023	#428	—	13	1	no	—
1024	#427	—	13	1	no	—
1025	#424	—	13	1	no	—
1026	#419	—	13	1	no	—
1027	#419	—	13	1	no	—
1028	#419	—	13	1	no	—
1029	#418	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#417	—	13	1	no	—
1033	#417	—	13	1	no	—
1034	#417	—	13	1	no	—
1035	#417	—	13	1	no	—
1036	#417	—	13	1	no	—
1037	#417	—	13	1	no	—
1038	#417	—	13	1	no	—
1039	#417	—	13	1	no	—
1040	#417	—	13	1	no	—
1041	#417	C₂×D₁₃	1	1	yes	characteristic
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	C₂×#103	—	13	1	no	—
1047	C₂×#103	—	13	1	no	—
1048	C₂×#103	—	13	1	no	—
1049	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1050	C₂×#102	—	13	1	no	—
1051	C₂×#102	—	13	1	no	—
1052	#408	—	13	1	no	—
1053	#407	—	13	1	no	—
1054	#405	—	13	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	2	1	no	—
1058	C₂²×C₁₃	—	2	1	no	—
1059	C₂²×C₁₃	—	2	1	no	—
1060	C₂²×C₁₃	—	2	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	1	no	—
1067	C₂×D₁₃	—	2	1	no	—
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	2	1	no	—
1070	C₂×D₁₃	—	2	1	no	—
1071	C₂×D₁₃	—	2	1	no	—
1072	C₂×D₁₃	—	2	1	no	—
1073	C₂×D₁₃	—	4	4	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	4	1	no	—
1076	C₂×D₁₃	—	4	1	no	—
1077	C₂×D₁₃	—	4	1	no	—
1078	C₂×D₁₃	—	4	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	8	4	no	—
1084	C₂×D₁₃	#546	1	2	yes	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	2	2	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	4	1	no	—
1091	C₄×C₁₃	—	4	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1097	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1098	Dic₁₃	—	2	1	no	—
1099	Dic₁₃	—	2	1	no	—
1100	Dic₁₃	—	2	2	no	—
1101	Dic₁₃	—	2	1	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	—	4	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	#546	1	2	yes	—
1108	2₋¹⁺⁴	—	26	4	no	—
1109	2₋¹⁺⁴	—	52	2	no	—
1110	C₂×#41	—	13	1	no	—
1111	C₂×#41	—	13	1	no	—
1112	C₂×#41	—	13	1	no	—
1113	C₂×#41	—	13	1	no	—
1114	C₂×#41	—	13	1	no	—
1115	C₂×#41	—	13	1	no	—
1116	C₂×#41	—	13	1	no	—
1117	C₂×#41	—	13	1	no	—
1118	C₂×#41	—	26	1	no	—
1119	C₂×#41	—	26	1	no	—
1120	C₂×#41	—	26	1	no	—
1121	C₂×#41	—	26	1	no	—
1122	C₂×#41	—	26	1	no	—
1123	C₂×#41	—	26	1	no	—
1124	C₂×#41	—	26	1	no	—
1125	C₂×#41	—	26	4	no	—
1126	C₂×#41	—	52	2	no	—
1127	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×Q₈	—	13	1	no	—
1130	C₂²×Q₈	—	26	1	no	—
1131	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂²×D₄	—	13	1	no	—
1133	C₂²×D₄	—	26	1	no	—
1134	C₂³×C₄	—	13	1	no	—
1135	C₂³×C₄	—	26	1	no	—
1136	C₂³×C₄	—	26	1	no	—
1137	#137	—	26	4	no	—
1138	AGL(1,ℤ/8)	—	52	2	no	—
1139	#135	—	52	2	no	—
1140	C₂×Q₁₆	—	13	1	no	—
1141	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×SD₁₆	—	13	1	no	—
1144	C₂×SD₁₆	—	13	1	no	—
1145	C₂×SD₁₆	—	13	1	no	—
1146	C₂×SD₁₆	—	13	1	no	—
1147	C₂×SD₁₆	—	13	1	no	—
1148	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×D₈	—	13	1	no	—
1150	C₂×D₈	—	13	1	no	—
1151	C₂×D₈	—	13	1	no	—
1152	#131	—	52	2	no	—
1153	C₂×M₁₆	—	13	1	no	—
1154	C₂×M₁₆	—	13	1	no	—
1155	C₂×M₁₆	—	13	1	no	—
1156	C₂×M₁₆	—	13	1	no	—
1157	C₂×M₁₆	—	13	1	no	—
1158	C₂×M₁₆	—	13	1	no	—
1159	C₂×M₁₆	—	13	1	no	—
1160	C₂×M₁₆	—	52	2	no	—
1161	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂²×C₈	—	13	1	no	—
1163	C₂²×C₈	—	13	1	no	—
1164	C₂²×C₈	—	13	1	no	—
1165	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1166	C₄⋊Q₈	—	13	1	no	—
1167	C₄⋊Q₈	—	26	1	no	—
1168	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1169	#127	—	13	1	no	—
1170	#127	—	13	1	no	—
1171	#127	—	26	1	no	—
1172	#127	—	26	1	no	—
1173	#127	—	26	1	no	—
1174	#127	—	26	1	no	—
1175	#127	—	26	1	no	—
1176	#126	—	26	1	no	—
1177	#126	—	26	1	no	—
1178	#126	—	26	1	no	—
1179	#126	—	26	1	no	—
1180	#125	—	2	1	no	—
1181	#125	—	13	1	no	—
1182	#125	—	13	1	no	—
1183	#125	—	26	1	no	—
1184	#125	—	26	1	no	—
1185	#125	—	26	1	no	—
1186	#125	—	26	1	no	—
1187	#124	—	2	1	no	—
1188	#124	—	13	1	no	—
1189	#124	—	26	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#124	—	26	1	no	—
1193	#124	C₂²×D₁₃	1	1	yes	characteristic
1194	#123	—	13	1	no	—
1195	#123	—	13	1	no	—
1196	#123	—	26	1	no	—
1197	#123	—	26	1	no	—
1198	#123	—	26	1	no	—
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	13	1	no	—
1210	C₂²⋊Q₈	—	13	1	no	—
1211	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	C₂²⋊Q₈	—	26	1	no	—
1224	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1226	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1227	#121	—	2	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	13	1	no	—
1230	#121	—	13	1	no	—
1231	#121	—	13	1	no	—
1232	#121	—	13	1	no	—
1233	#121	—	13	1	no	—
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	C₂²×D₁₃	1	1	yes	characteristic
1258	#120	—	13	1	no	—
1259	#120	—	13	1	no	—
1260	#120	—	26	1	no	—
1261	#120	—	26	1	no	—
1262	#120	—	26	1	no	—
1263	#120	—	26	1	no	—
1264	#120	—	26	1	no	—
1265	#120	—	26	1	no	—
1266	C₄×Q₈	—	13	1	no	—
1267	C₄×Q₈	—	13	1	no	—
1268	C₄×Q₈	—	13	1	no	—
1269	C₄×Q₈	—	13	1	no	—
1270	C₄×Q₈	—	26	1	no	—
1271	C₄×Q₈	—	26	1	no	—
1272	C₄×Q₈	—	26	1	no	—
1273	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	13	1	no	—
1278	C₄×D₄	—	13	1	no	—
1279	C₄×D₄	—	13	1	no	—
1280	C₄×D₄	—	13	1	no	—
1281	C₄×D₄	—	13	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	—	26	1	no	—
1292	C₄×D₄	—	26	1	no	—
1293	C₄×D₄	—	26	1	no	—
1294	C₄×D₄	—	26	1	no	—
1295	C₄×D₄	—	26	1	no	—
1296	C₄×D₄	—	26	1	no	—
1297	C₄×D₄	—	26	1	no	—
1298	C₄×D₄	—	26	1	no	—
1299	C₄×D₄	—	26	1	no	—
1300	C₄×D₄	—	26	1	no	—
1301	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1302	#117	—	13	1	no	—
1303	#117	—	13	1	no	—
1304	#117	—	13	1	no	—
1305	#117	—	13	1	no	—
1306	#117	—	13	1	no	—
1307	#117	—	26	1	no	—
1308	#117	—	26	1	no	—
1309	#117	—	26	1	no	—
1310	#117	—	26	1	no	—
1311	#117	—	26	1	no	—
1312	C₂×C₄⋊C₄	—	13	1	no	—
1313	C₂×C₄⋊C₄	—	13	1	no	—
1314	C₂×C₄⋊C₄	—	13	1	no	—
1315	C₂×C₄⋊C₄	—	13	1	no	—
1316	C₂×C₄⋊C₄	—	13	1	no	—
1317	C₂×C₄⋊C₄	—	13	1	no	—
1318	C₂×C₄⋊C₄	—	26	1	no	—
1319	C₂×C₄⋊C₄	—	26	1	no	—
1320	C₂×C₄⋊C₄	—	26	1	no	—
1321	C₂×C₄⋊C₄	—	26	1	no	—
1322	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1323	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1324	#107	—	13	1	no	—
1325	#107	—	13	1	no	—
1326	#107	—	13	1	no	—
1327	#107	—	13	1	no	—
1328	#107	—	13	1	no	—
1329	#107	—	13	1	no	—
1330	#106	—	13	1	no	—
1331	#106	—	13	1	no	—
1332	#106	—	13	1	no	—
1333	#106	C₂²×D₁₃	1	1	yes	characteristic
1334	#106	C₂²×D₁₃	1	1	yes	characteristic
1335	#106	C₂²×D₁₃	1	1	yes	characteristic
1336	C₄⋊C₈	—	13	1	no	—
1337	C₄⋊C₈	—	13	1	no	—
1338	C₄⋊C₈	—	13	1	no	—
1339	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	C₂²×D₁₃	1	1	yes	characteristic
1354	#103	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	C₂²×D₁₃	1	1	yes	characteristic
1356	#103	C₂²×D₁₃	1	1	yes	characteristic
1357	#103	C₂²×D₁₃	1	1	yes	characteristic
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#103	C₂²×D₁₃	1	1	yes	characteristic
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	C₂²×D₁₃	1	1	yes	characteristic
1378	#102	C₂²×D₁₃	1	1	yes	characteristic
1379	#102	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂²⋊C₈	—	13	1	no	—
1381	C₂²⋊C₈	—	13	1	no	—
1382	C₂²⋊C₈	—	13	1	no	—
1383	C₂²⋊C₈	—	13	1	no	—
1384	C₂²⋊C₈	—	13	1	no	—
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1387	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1388	#97	—	13	1	no	—
1389	#97	C₂²×D₁₃	1	1	yes	characteristic
1390	C₄×C₈	—	13	1	no	—
1391	C₄×C₈	—	13	1	no	—
1392	C₂×C₁₃	—	4	1	no	—
1393	C₂×C₁₃	—	4	1	no	—
1394	C₂×C₁₃	—	8	1	no	—
1395	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1396	C₂×C₁₃	#3585	1	1	yes	characteristic
1397	C₂×C₁₃	#3586	1	1	yes	characteristic
1398	D₁₃	—	2	2	no	—
1399	D₁₃	—	4	1	no	—
1400	D₁₃	—	4	1	no	—
1401	D₁₃	—	8	1	no	—
1402	D₁₃	—	8	1	no	—
1403	D₁₃	—	8	1	no	—
1404	C₂⁴	—	13	1	no	—
1405	C₂⁴	—	26	1	no	—
1406	#41	—	2	2	no	—
1407	#41	—	4	1	no	—
1408	#41	—	26	2	no	—
1409	#41	—	26	2	no	—
1410	#41	—	26	2	no	—
1411	#41	—	26	2	no	—
1412	#41	—	26	2	no	—
1413	#41	—	26	2	no	—
1414	#41	—	26	2	no	—
1415	#41	—	26	2	no	—
1416	#41	—	26	2	no	—
1417	#41	—	26	2	no	—
1418	#41	—	26	2	no	—
1419	#41	—	52	1	no	—
1420	#41	—	52	1	no	—
1421	#41	—	52	4	no	—
1422	#41	—	52	4	no	—
1423	#41	—	52	4	no	—
1424	#41	—	52	1	no	—
1425	#41	—	52	4	no	—
1426	#41	—	52	1	no	—
1427	#41	—	52	1	no	—
1428	#41	—	52	4	no	—
1429	#41	—	104	2	no	—
1430	#41	—	104	2	no	—
1431	C₂×Q₈	—	2	1	no	—
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	2	no	—
1434	C₂×Q₈	—	4	1	no	—
1435	C₂×Q₈	—	13	1	no	—
1436	C₂×Q₈	—	13	4	no	—
1437	C₂×Q₈	—	13	1	no	—
1438	C₂×Q₈	—	26	1	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	1	no	—
1441	C₂×Q₈	—	26	2	no	—
1442	C₂×Q₈	—	26	2	no	—
1443	C₂×Q₈	—	52	1	no	—
1444	C₂×Q₈	—	52	4	no	—
1445	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1446	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1447	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	13	1	no	—
1451	C₂×D₄	—	13	1	no	—
1452	C₂×D₄	—	13	1	no	—
1453	C₂×D₄	—	13	1	no	—
1454	C₂×D₄	—	13	1	no	—
1455	C₂×D₄	—	13	1	no	—
1456	C₂×D₄	—	13	1	no	—
1457	C₂×D₄	—	13	1	no	—
1458	C₂×D₄	—	13	1	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	1	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	26	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	2	no	—
1468	C₂×D₄	—	26	2	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	1	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	52	4	no	—
1483	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1484	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	13	1	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	13	1	no	—
1494	C₂²×C₄	—	13	1	no	—
1495	C₂²×C₄	—	26	2	no	—
1496	C₂²×C₄	—	26	2	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	52	4	no	—
1515	C₂²×C₄	—	104	2	no	—
1516	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1518	Q₁₆	—	2	2	no	—
1519	Q₁₆	—	4	1	no	—
1520	Q₁₆	—	26	2	no	—
1521	SD₁₆	—	4	1	no	—
1522	SD₁₆	—	26	2	no	—
1523	SD₁₆	—	26	2	no	—
1524	SD₁₆	—	52	1	no	—
1525	SD₁₆	—	52	1	no	—
1526	SD₁₆	—	52	1	no	—
1527	D₈	—	52	1	no	—
1528	D₈	—	52	1	no	—
1529	D₈	—	52	1	no	—
1530	M₁₆	—	4	1	no	—
1531	M₁₆	—	26	2	no	—
1532	M₁₆	—	26	2	no	—
1533	M₁₆	—	52	1	no	—
1534	M₁₆	—	52	1	no	—
1535	M₁₆	—	52	1	no	—
1536	M₁₆	—	52	1	no	—
1537	M₁₆	—	52	1	no	—
1538	C₂×C₈	—	4	1	no	—
1539	C₂×C₈	—	13	1	no	—
1540	C₂×C₈	—	13	1	no	—
1541	C₂×C₈	—	13	1	no	—
1542	C₂×C₈	—	13	1	no	—
1543	C₂×C₈	—	26	2	no	—
1544	C₂×C₈	—	26	2	no	—
1545	C₂×C₈	—	52	1	no	—
1546	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1547	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	13	1	no	—
1559	C₄⋊C₄	—	13	1	no	—
1560	C₄⋊C₄	—	13	1	no	—
1561	C₄⋊C₄	—	13	1	no	—
1562	C₄⋊C₄	—	13	1	no	—
1563	C₄⋊C₄	—	13	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1586	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	13	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	13	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	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	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1625	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1626	C₄²	—	2	1	no	—
1627	C₄²	—	2	1	no	—
1628	C₄²	—	13	1	no	—
1629	C₄²	—	26	1	no	—
1630	C₄²	—	26	1	no	—
1631	C₄²	—	26	1	no	—
1632	C₄²	—	26	1	no	—
1633	C₄²	—	26	1	no	—
1634	C₄²	—	26	1	no	—
1635	C₄²	—	26	1	no	—
1636	C₄²	—	26	1	no	—
1637	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1638	C₁₃	#61178	1	1	yes	characteristic, complemented, Sylow
1639	C₂³	—	2	1	no	—
1640	C₂³	—	13	1	no	—
1641	C₂³	—	13	1	no	—
1642	C₂³	—	13	1	no	—
1643	C₂³	—	26	2	no	—
1644	C₂³	—	26	1	no	—
1645	C₂³	—	26	1	no	—
1646	C₂³	—	26	1	no	—
1647	C₂³	—	52	1	no	—
1648	C₂³	—	52	1	no	—
1649	C₂³	—	52	2	no	—
1650	C₂³	—	104	1	no	—
1651	C₂³	—	104	1	no	—
1652	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1653	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	2	1	no	—
1657	Q₈	—	2	1	no	—
1658	Q₈	—	2	1	no	—
1659	Q₈	—	4	2	no	—
1660	Q₈	—	8	1	no	—
1661	Q₈	—	13	2	no	—
1662	Q₈	—	26	4	no	—
1663	Q₈	—	26	2	no	—
1664	Q₈	—	26	1	no	—
1665	Q₈	—	52	2	no	—
1666	Q₈	—	104	1	no	—
1667	Q₈	#41×D₁₃	1	2	yes	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	4	1	no	—
1671	D₄	—	4	2	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	26	2	no	—
1674	D₄	—	26	2	no	—
1675	D₄	—	26	2	no	—
1676	D₄	—	26	1	no	—
1677	D₄	—	26	1	no	—
1678	D₄	—	26	1	no	—
1679	D₄	—	26	1	no	—
1680	D₄	—	26	1	no	—
1681	D₄	—	26	1	no	—
1682	D₄	—	52	1	no	—
1683	D₄	—	52	2	no	—
1684	D₄	—	52	2	no	—
1685	D₄	—	52	2	no	—
1686	D₄	—	52	2	no	—
1687	D₄	—	52	2	no	—
1688	D₄	—	52	2	no	—
1689	D₄	—	52	1	no	—
1690	D₄	—	52	1	no	—
1691	D₄	—	52	2	no	—
1692	D₄	—	52	2	no	—
1693	D₄	—	52	2	no	—
1694	D₄	—	52	2	no	—
1695	D₄	—	104	1	no	—
1696	D₄	—	104	1	no	—
1697	D₄	—	104	1	no	—
1698	D₄	—	104	1	no	—
1699	D₄	—	104	1	no	—
1700	D₄	—	104	1	no	—
1701	D₄	—	104	1	no	—
1702	D₄	—	104	1	no	—
1703	D₄	—	104	1	no	—
1704	D₄	—	104	1	no	—
1705	D₄	—	104	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	4	2	no	—
1718	C₂×C₄	—	4	2	no	—
1719	C₂×C₄	—	8	1	no	—
1720	C₂×C₄	—	8	1	no	—
1721	C₂×C₄	—	13	1	no	—
1722	C₂×C₄	—	13	2	no	—
1723	C₂×C₄	—	13	2	no	—
1724	C₂×C₄	—	13	1	no	—
1725	C₂×C₄	—	13	1	no	—
1726	C₂×C₄	—	13	1	no	—
1727	C₂×C₄	—	13	1	no	—
1728	C₂×C₄	—	26	2	no	—
1729	C₂×C₄	—	26	2	no	—
1730	C₂×C₄	—	26	4	no	—
1731	C₂×C₄	—	26	2	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	26	1	no	—
1734	C₂×C₄	—	26	1	no	—
1735	C₂×C₄	—	26	1	no	—
1736	C₂×C₄	—	26	1	no	—
1737	C₂×C₄	—	26	1	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	52	2	no	—
1742	C₂×C₄	—	52	2	no	—
1743	C₂×C₄	—	52	2	no	—
1744	C₂×C₄	—	52	2	no	—
1745	C₂×C₄	—	52	2	no	—
1746	C₂×C₄	—	52	2	no	—
1747	C₂×C₄	—	52	2	no	—
1748	C₂×C₄	—	52	2	no	—
1749	C₂×C₄	—	52	2	no	—
1750	C₂×C₄	—	52	2	no	—
1751	C₂×C₄	—	104	1	no	—
1752	C₂×C₄	—	104	1	no	—
1753	C₂×C₄	—	104	1	no	—
1754	C₂×C₄	—	104	1	no	—
1755	C₂×C₄	—	104	1	no	—
1756	C₂×C₄	—	104	1	no	—
1757	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1758	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1759	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1760	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1761	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1762	C₈	—	2	1	no	—
1763	C₈	—	2	1	no	—
1764	C₈	—	2	1	no	—
1765	C₈	—	2	1	no	—
1766	C₈	—	26	1	no	—
1767	C₈	—	26	1	no	—
1768	C₈	—	26	1	no	—
1769	C₈	—	26	1	no	—
1770	C₂²	—	2	1	no	—
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	13	2	no	—
1780	C₂²	—	26	1	no	—
1781	C₂²	—	26	1	no	—
1782	C₂²	—	26	1	no	—
1783	C₂²	—	26	1	no	—
1784	C₂²	—	26	1	no	—
1785	C₂²	—	26	1	no	—
1786	C₂²	—	26	1	no	—
1787	C₂²	—	26	1	no	—
1788	C₂²	—	52	4	no	—
1789	C₂²	—	52	1	no	—
1790	C₂²	—	52	1	no	—
1791	C₂²	—	52	1	no	—
1792	C₂²	—	52	1	no	—
1793	C₂²	—	52	1	no	—
1794	C₂²	—	52	1	no	—
1795	C₂²	—	52	1	no	—
1796	C₂²	—	52	1	no	—
1797	C₂²	—	52	1	no	—
1798	C₂²	—	104	4	no	—
1799	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	2	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	13	2	no	—
1812	C₄	—	26	1	no	—
1813	C₄	—	26	1	no	—
1814	C₄	—	26	2	no	—
1815	C₄	—	26	1	no	—
1816	C₄	—	26	1	no	—
1817	C₄	—	52	1	no	—
1818	C₄	—	52	1	no	—
1819	C₄	—	52	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1822	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	8	1	no	—
1826	C₂	—	26	2	no	—
1827	C₂	—	52	1	no	—
1828	C₂	—	52	1	no	—
1829	C₂	—	104	1	no	—
1830	C₂	—	104	1	no	—
1831	C₂	—	104	1	no	—
1832	C₂	D₁₃×#546	1	1	yes	characteristic
1833	C₂	#13129614	1	1	yes	characteristic
1834	C₂	#13129619	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×#3316	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3316	D₁₃
hypocenter	C₁₃	#61178
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3316

Complements

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

N	H ≅ G/N	type
1. #13128544	C₂	semidirect
2. #13128493	C₂	semidirect
3. #13127168	C₂	semidirect
4. #13127167	C₂	semidirect
5. #13127161	C₂	semidirect
6. #13127160	C₂	semidirect
7. #13127111	C₂	semidirect
8. #13127108	C₂	semidirect
9. #13127092	C₂	semidirect
10. #13127089	C₂	semidirect
11. #13126968	C₂	semidirect
12. #13126967	C₂	semidirect
13. #13126942	C₂	semidirect
14. #13126844	C₂	semidirect
15. #13126843	C₂	semidirect
16. #13126826	C₂	semidirect
17. #13126823	C₂	semidirect
18. #13125187	C₂	semidirect
19. #13124793	C₂	semidirect
20. #13124760	C₂	semidirect
21. #13124671	C₂	semidirect
22. #13124509	C₂	semidirect
23. #13124447	C₂	semidirect
24. #13124378	C₂	semidirect
25. #13124152	C₂	semidirect
26. #13124079	C₂	semidirect
27. #13123678	C₂	semidirect
28. #13123534	C₂	semidirect
29. #13123364	C₂	semidirect
30. D₁₃×#417	C₂	semidirect
31. C₁₃×#3316	C₂	semidirect
34. C₁₃×#554	C₂²	semidirect
44. #11719431	C₂²	semidirect
51. #11719344	C₂²	semidirect
54. #11719340	C₂²	semidirect
67. #11719286	C₂²	semidirect
71. #11719270	C₂²	semidirect
78. #11719219	C₂²	semidirect
79. #11719212	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#483	C₂²	semidirect
84. C₁₃×#481	C₂²	semidirect
85. C₁₃×#475	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
94. C₂×C₁₃×#103	C₂²	semidirect
97. #11718888	C₂²	semidirect
98. #11718886	C₂²	semidirect
99. #11718850	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. Q₁₆×Dic₁₃	C₂²	semidirect
105. #11718835	C₂²	semidirect
107. #11718824	C₂²	semidirect
108. #11718796	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718752	C₂²	semidirect
115. #11718749	C₂²	semidirect
116. #11718718	C₂²	semidirect
117. #11718717	C₂²	semidirect
118. #11718710	C₂²	semidirect
119. #11718710	C₂²	semidirect
120. #11718710	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718704	C₂²	semidirect
124. #11718700	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. C₄×#6107	C₂²	semidirect
127. #11718688	C₂²	semidirect
128. C₄×#6106	C₂²	semidirect
129. #11718683	C₂²	semidirect
130. #11718673	C₂²	semidirect
131. #11718628	C₂²	semidirect
132. #11718628	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718527	C₂²	semidirect
136. #11718526	C₂²	semidirect
137. #11718526	C₂²	semidirect
138. #11718524	C₂²	semidirect
139. #11718524	C₂²	semidirect
140. #11718524	C₂²	semidirect
144. #11718518	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718504	C₂²	semidirect
149. #11718499	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718478	C₂²	semidirect
153. #11718473	C₂²	semidirect
154. #11718473	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718470	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718468	C₂²	semidirect
160. #11718467	C₂²	semidirect
163. #11718465	C₂²	semidirect
168. #11718464	C₂²	semidirect
170. #11718463	C₂²	semidirect
173. D₁₃×#103	C₂²	semidirect
174. #11718461	C₂²	semidirect
175. #11718460	C₂²	semidirect
176. #11718456	C₂²	semidirect
177. #11718455	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718447	C₂²	semidirect
181. #11718440	C₂²	semidirect
182. #11718436	C₂²	semidirect
183. #11718435	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718421	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
194. #11718395	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718390	C₂²	semidirect
199. #11718374	C₂²	semidirect
200. #11718371	C₂²	semidirect
202. #11718367	C₂²	semidirect
541. Q₈×D₁₃	#41	semidirect
735. #3316	D₁₃	semidirect
893. #554	C₂×D₁₃	semidirect
937. #489	C₂×D₁₃	semidirect
945. #483	C₂×D₁₃	semidirect
953. #481	C₂×D₁₃	semidirect
965. #475	C₂×D₁₃	semidirect
967. #470	C₂×D₁₃	semidirect
981. #465	C₂×D₁₃	semidirect
983. #464	C₂×D₁₃	semidirect
997. #451	C₂×D₁₃	semidirect
1007. #441	C₂×D₁₃	semidirect
1021. #435	C₂×D₁₃	semidirect
1049. C₂×#103	C₂×D₁₃	semidirect
1638. C₁₃	#61178	semidirect

Maximal subgroups

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

subgroup	index
#13128544	2
#13128493	2
#13127168	2
#13127167	2
#13127161	2
#13127160	2
#13127111	2
#13127108	2
#13127092	2
#13127089	2
#13126968	2
#13126967	2
#13126942	2
#13126844	2
#13126843	2
#13126826	2
#13126823	2
#13125187	2
#13124793	2
#13124760	2
#13124671	2
#13124509	2
#13124447	2
#13124378	2
#13124152	2
#13124079	2
#13123678	2
#13123534	2
#13123364	2
D₁₃×#417	2
C₁₃×#3316	2
#61178	13