Subgroups — #16744395

Order 3328.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128434	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128427	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127843	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127722	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127535	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127527	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127261	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127235	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127231	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126773	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126768	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126745	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126741	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126735	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126731	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126589	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126575	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126572	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125412	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125402	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124865	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124865	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124860	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124856	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124850	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123792	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88204	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88170	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#529	C₂²	1	1	yes	characteristic
33	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
34	#11719539	C₂²	1	1	yes	characteristic
35	#11719536	C₂²	1	1	yes	characteristic
36	C₂×#88204	C₂²	1	1	yes	characteristic
37	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88170	C₂²	1	1	yes	characteristic
39	#11719414	—	2	1	no	—
40	#11719407	—	2	1	no	—
41	#11719400	C₂²	1	1	yes	characteristic
42	#11719390	C₂²	1	1	yes	characteristic
43	#11719386	C₂²	1	1	yes	characteristic
44	#11719382	C₂²	1	1	yes	characteristic
45	#11719369	—	2	1	no	—
46	#11719366	—	2	1	no	—
47	#11719346	C₂²	1	1	yes	characteristic
48	#11719338	C₂²	1	1	yes	characteristic
49	#11719319	C₂²	1	1	yes	characteristic
50	#11719304	C₂²	1	1	yes	characteristic
51	#11719285	C₂²	1	1	yes	characteristic
52	#11719281	C₂²	1	1	yes	characteristic
53	C₄×#6131	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
55	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
56	#11719274	C₂²	1	1	yes	characteristic
57	#11719264	—	2	1	no	—
58	#11719264	C₂²	1	1	yes	characteristic
59	#11719263	—	2	1	no	—
60	#11719263	C₂²	1	1	yes	characteristic
61	#11719262	—	2	1	no	—
62	#11719262	C₂²	1	1	yes	characteristic
63	#11719253	—	2	1	no	—
64	#11719253	—	2	1	no	—
65	#11719253	C₂²	1	1	yes	characteristic
66	#11719253	C₂²	1	1	yes	characteristic
67	#11719243	—	2	1	no	—
68	C₄×#6129	C₂²	1	1	yes	characteristic
69	#11719238	—	2	1	no	—
70	#11719238	C₂²	1	1	yes	characteristic
71	#11719235	—	2	1	no	—
72	#11719235	C₂²	1	1	yes	characteristic
73	#11719233	—	2	1	no	—
74	#11719227	—	2	1	no	—
75	#11719184	—	2	1	no	—
76	#11719184	C₂²	1	1	yes	characteristic
77	C₄×#6127	—	2	1	no	—
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₄×#6127	C₂²	1	1	yes	characteristic
80	C₁₃×#485	C₂²	1	1	yes	characteristic
81	C₁₃×#482	C₂²	1	1	yes	characteristic
82	C₁₃×#479	C₂²	1	1	yes	characteristic
83	C₁₃×#478	C₂²	1	1	yes	characteristic
84	C₁₃×#464	C₂²	1	1	yes	characteristic
85	C₁₃×#463	C₂²	1	1	yes	characteristic
86	C₁₃×#452	C₂²	1	1	yes	characteristic
87	C₁₃×#449	C₂²	1	1	yes	characteristic
88	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
89	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
90	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
91	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
92	C₁₃×#431	C₂²	1	1	yes	characteristic
93	#11718894	C₂²	1	1	yes	characteristic
94	#11718848	C₂²	1	1	yes	characteristic
95	#11718846	C₂²	1	1	yes	characteristic
96	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
97	#11718832	C₂²	1	1	yes	characteristic
98	#11718831	C₂²	1	1	yes	characteristic
99	#11718831	C₂²	1	1	yes	characteristic
100	#11718829	C₂²	1	1	yes	characteristic
101	#11718824	C₂²	1	1	yes	characteristic
102	#11718824	C₂²	1	1	yes	characteristic
103	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
104	#11718819	C₂²	1	1	yes	characteristic
105	#11718818	C₂²	1	1	yes	characteristic
106	#11718814	C₂²	1	1	yes	characteristic
107	#11718812	C₂²	1	1	yes	characteristic
108	#11718729	C₂²	1	1	yes	characteristic
109	#11718725	C₂²	1	1	yes	characteristic
110	#11718720	C₂²	1	1	yes	characteristic
111	#11718717	C₂²	1	1	yes	characteristic
112	#11718712	C₂²	1	1	yes	characteristic
113	#11718709	C₂²	1	1	yes	characteristic
114	#11718702	C₂²	1	1	yes	characteristic
115	#11718699	C₂²	1	1	yes	characteristic
116	C₄×#6107	C₂²	1	1	yes	characteristic
117	C₄×#6107	C₂²	1	1	yes	characteristic
118	C₄×#6107	C₂²	1	1	yes	characteristic
119	C₄×#6106	C₂²	1	1	yes	characteristic
120	C₄×#6106	C₂²	1	1	yes	characteristic
121	C₄×#6106	C₂²	1	1	yes	characteristic
122	C₄×#6105	C₂²	1	1	yes	characteristic
123	C₄×#6105	C₂²	1	1	yes	characteristic
124	C₄×#6105	C₂²	1	1	yes	characteristic
125	C₄×#6104	C₂²	1	1	yes	characteristic
126	C₄×#6104	C₂²	1	1	yes	characteristic
127	C₄×#6104	C₂²	1	1	yes	characteristic
128	#11718663	C₂²	1	1	yes	characteristic
129	#11718659	C₂²	1	1	yes	characteristic
130	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
131	#11718552	C₂²	1	1	yes	characteristic
132	#11718549	C₂²	1	1	yes	characteristic
133	#11718546	C₂²	1	1	yes	characteristic
134	#11718544	C₂²	1	1	yes	characteristic
135	D₁₃×#107	C₂²	1	1	yes	characteristic
136	#11718538	C₂²	1	1	yes	characteristic
137	#11718535	C₂²	1	1	yes	characteristic
138	#11718534	C₂²	1	1	yes	characteristic
139	#11718525	C₂²	1	1	yes	characteristic
140	#11718524	C₂²	1	1	yes	characteristic
141	#11718524	C₂²	1	1	yes	characteristic
142	#11718521	C₂²	1	1	yes	characteristic
143	#11718519	C₂²	1	1	yes	characteristic
144	#11718515	C₂²	1	1	yes	characteristic
145	#11718515	C₂²	1	1	yes	characteristic
146	#11718513	C₂²	1	1	yes	characteristic
147	#11718508	C₂²	1	1	yes	characteristic
148	#11718506	C₂²	1	1	yes	characteristic
149	#11718505	C₂²	1	1	yes	characteristic
150	#11718495	C₂²	1	1	yes	characteristic
151	#11718495	C₂²	1	1	yes	characteristic
152	#11718491	C₂²	1	1	yes	characteristic
153	#11718491	C₂²	1	1	yes	characteristic
154	#11718490	C₂²	1	1	yes	characteristic
155	#11718480	C₂²	1	1	yes	characteristic
156	#11718475	C₂²	1	1	yes	characteristic
157	#11718474	C₂²	1	1	yes	characteristic
158	#11718472	C₂²	1	1	yes	characteristic
159	#11718467	C₂²	1	1	yes	characteristic
160	#11718467	C₂²	1	1	yes	characteristic
161	#11718465	C₂²	1	1	yes	characteristic
162	D₁₃×#103	C₂²	1	1	yes	characteristic
163	D₁₃×#103	C₂²	1	1	yes	characteristic
164	#11718461	C₂²	1	1	yes	characteristic
165	#11718457	C₂²	1	1	yes	characteristic
166	#11718452	C₂²	1	1	yes	characteristic
167	#11718452	C₂²	1	1	yes	characteristic
168	#11718451	C₂²	1	1	yes	characteristic
169	#11718451	C₂²	1	1	yes	characteristic
170	#11718451	C₂²	1	1	yes	characteristic
171	#11718445	C₂²	1	1	yes	characteristic
172	#11718444	C₂²	1	1	yes	characteristic
173	#11718438	C₂²	1	1	yes	characteristic
174	#11718438	C₂²	1	1	yes	characteristic
175	#11718436	C₂²	1	1	yes	characteristic
176	#11718436	C₂²	1	1	yes	characteristic
177	#11718436	C₂²	1	1	yes	characteristic
178	#11718433	C₂²	1	1	yes	characteristic
179	#11718429	C₂²	1	1	yes	characteristic
180	#11718428	C₂²	1	1	yes	characteristic
181	#11718427	C₂²	1	1	yes	characteristic
182	#11718423	C₂²	1	1	yes	characteristic
183	#11718423	C₂²	1	1	yes	characteristic
184	#11718421	C₂²	1	1	yes	characteristic
185	#11718421	C₂²	1	1	yes	characteristic
186	#11718417	C₂²	1	1	yes	characteristic
187	#11718398	C₂²	1	1	yes	characteristic
188	#11718395	C₂²	1	1	yes	characteristic
189	#11718394	C₂²	1	1	yes	characteristic
190	#11718386	C₂²	1	1	yes	characteristic
191	#11718386	C₂²	1	1	yes	characteristic
192	#11718386	C₂²	1	1	yes	characteristic
193	#11718386	C₂²	1	1	yes	characteristic
194	#11718384	C₂²	1	1	yes	characteristic
195	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
196	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
197	C₄×#6095	C₂²	1	1	yes	characteristic
198	C₄×#6095	C₂²	1	1	yes	characteristic
199	#11718346	C₂²	1	1	yes	characteristic
200	#11718346	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×#6129	C₂³	1	1	yes	characteristic
208	C₂×#6127	—	2	1	no	—
209	C₂×#6127	—	2	1	no	—
210	C₂×#6127	D₄	1	1	yes	characteristic
211	C₂×#6127	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
216	C₁₃×#126	—	2	1	no	—
217	C₁₃×#125	C₂³	1	1	yes	characteristic
218	C₁₃×#124	C₂³	1	1	yes	characteristic
219	C₁₃×#123	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×#121	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×#117	—	2	1	no	—
232	C₁₃×#117	—	2	1	no	—
233	C₁₃×#117	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	—	2	1	no	—
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	#88204	—	2	4	no	—
237	#88201	C₂³	1	1	yes	characteristic
238	#88200	C₂³	1	1	yes	characteristic
239	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
240	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
241	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×#6107	C₂³	1	1	yes	characteristic
243	C₂×#6107	C₂³	1	1	yes	characteristic
244	C₂×#6106	C₂³	1	1	yes	characteristic
245	C₂×#6106	C₂³	1	1	yes	characteristic
246	#88194	—	2	1	no	—
247	#88194	—	2	1	no	—
248	#88194	C₂³	1	1	yes	characteristic
249	#88194	C₂³	1	1	yes	characteristic
250	#88193	—	2	1	no	—
251	#88192	—	2	1	no	—
252	#88192	—	2	1	no	—
253	#88192	—	2	1	no	—
254	#88192	C₂³	1	1	yes	characteristic
255	#88192	C₂³	1	1	yes	characteristic
256	#88192	C₂³	1	1	yes	characteristic
257	#88190	—	2	1	no	—
258	#88190	C₂³	1	1	yes	characteristic
259	#88189	—	2	1	no	—
260	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×#6105	C₂³	1	1	yes	characteristic
262	C₂×#6105	C₂³	1	1	yes	characteristic
263	C₂×#6104	C₂³	1	1	yes	characteristic
264	C₂×#6104	C₂³	1	1	yes	characteristic
265	#88184	—	2	1	no	—
266	#88184	C₂³	1	1	yes	characteristic
267	#88183	—	2	1	no	—
268	#88183	—	2	1	no	—
269	#88183	—	2	1	no	—
270	C₄×C₂²⋊D₁₃	—	2	1	no	—
271	C₄×C₂²⋊D₁₃	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	—	2	1	no	—
273	C₄×C₂²⋊D₁₃	—	2	1	no	—
274	C₄×C₂²⋊D₁₃	—	2	1	no	—
275	C₄×C₂²⋊D₁₃	—	2	1	no	—
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
282	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
283	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
284	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
285	#88180	—	2	1	no	—
286	#88180	D₄	1	1	yes	characteristic
287	#88180	C₂³	1	1	yes	characteristic
288	#88178	—	2	1	no	—
289	#88178	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	—	2	1	no	—
291	C₂²×#1055	C₂³	1	1	yes	characteristic
292	C₂²×#1055	C₂³	1	1	yes	characteristic
293	Q₁₆×D₁₃	—	2	4	no	—
294	#88170	—	2	4	no	—
295	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
296	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
297	C₂×#6095	C₂³	1	1	yes	characteristic
298	C₂×#6095	C₂³	1	1	yes	characteristic
299	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
303	#88152	—	2	1	no	—
304	#88152	—	2	1	no	—
305	#88152	—	2	1	no	—
306	#88151	—	2	1	no	—
307	#88151	C₂³	1	1	yes	characteristic
308	#88150	—	2	1	no	—
309	#88149	—	2	1	no	—
310	#88149	—	2	1	no	—
311	#88149	C₂³	1	1	yes	characteristic
312	#88149	C₂³	1	1	yes	characteristic
313	#88149	C₂³	1	1	yes	characteristic
314	#88148	—	2	1	no	—
315	#88148	—	2	1	no	—
316	#88147	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	C₂³	1	1	yes	characteristic
320	#88146	—	2	1	no	—
321	#88146	C₂³	1	1	yes	characteristic
322	#88146	C₂³	1	1	yes	characteristic
323	C₄⋊C₄×D₁₃	—	2	1	no	—
324	C₄⋊C₄×D₁₃	—	2	1	no	—
325	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
327	#88144	—	2	1	no	—
328	#88144	C₂³	1	1	yes	characteristic
329	#88144	C₂³	1	1	yes	characteristic
330	#88143	—	2	1	no	—
331	#88143	—	2	1	no	—
332	#88142	—	2	1	no	—
333	#88142	—	2	1	no	—
334	#88142	C₂³	1	1	yes	characteristic
335	#88142	C₂³	1	1	yes	characteristic
336	#88141	—	2	1	no	—
337	#88141	—	2	1	no	—
338	#88141	—	2	1	no	—
339	#88141	—	2	1	no	—
340	#88141	C₂³	1	1	yes	characteristic
341	#88141	C₂³	1	1	yes	characteristic
342	#88141	C₂³	1	1	yes	characteristic
343	#88140	—	2	1	no	—
344	#88139	—	2	1	no	—
345	#88139	—	2	1	no	—
346	#88139	—	2	1	no	—
347	#88139	—	2	1	no	—
348	#88139	—	2	1	no	—
349	#88139	—	2	1	no	—
350	#88139	—	2	1	no	—
351	#88139	—	2	1	no	—
352	#88138	—	2	1	no	—
353	#88138	—	2	1	no	—
354	#88138	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88137	—	2	1	no	—
362	#88137	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88133	—	2	1	no	—
369	#88133	—	2	1	no	—
370	#88133	—	2	1	no	—
371	#88133	—	2	1	no	—
372	#88133	—	2	1	no	—
373	#88132	—	2	1	no	—
374	#88131	—	2	1	no	—
375	#88130	—	2	1	no	—
376	#88130	—	2	1	no	—
377	#88130	—	2	1	no	—
378	#88129	—	2	1	no	—
379	#88129	C₂³	1	1	yes	characteristic
380	C₄×D₅₂	—	2	1	no	—
381	C₄×D₅₂	—	2	1	no	—
382	C₄×D₅₂	—	2	1	no	—
383	C₄×D₅₂	—	2	1	no	—
384	C₄×D₅₂	D₄	1	1	yes	characteristic
385	C₄×D₅₂	C₂³	1	1	yes	characteristic
386	C₄×D₅₂	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	C₄×D₅₂	C₂³	1	1	yes	characteristic
389	#88126	—	2	1	no	—
390	#88126	—	2	1	no	—
391	#88126	—	2	1	no	—
392	#88126	D₄	1	1	yes	characteristic
393	#88126	D₄	1	1	yes	characteristic
394	C₄²×D₁₃	—	2	1	no	—
395	C₄²×D₁₃	—	2	1	no	—
396	C₄²×D₁₃	—	2	1	no	—
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	C₂³	1	1	yes	characteristic
399	C₄²×D₁₃	C₂³	1	1	yes	characteristic
400	#88124	—	2	1	no	—
401	#88124	C₂³	1	1	yes	characteristic
402	C₄×Dic₂₆	—	2	1	no	—
403	C₄×Dic₂₆	—	2	1	no	—
404	C₄×Dic₂₆	—	2	1	no	—
405	C₄×Dic₂₆	—	2	1	no	—
406	C₄×Dic₂₆	D₄	1	1	yes	characteristic
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
428	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88060	C₂³	1	1	yes	characteristic
442	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88058	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88056	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	C₄×#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61430	—	13	1	no	maximal, Sylow
482	C₁₃×#41	—	2	2	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×D₄×C₁₃	—	2	1	no	—
487	C₂×D₄×C₁₃	—	2	1	no	—
488	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	—	2	1	no	—
491	C₂²×C₄×C₁₃	—	2	1	no	—
492	C₂²×C₄×C₁₃	—	2	1	no	—
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₃	—	2	1	no	—
498	C₂×C₂²⋊D₁₃	—	2	1	no	—
499	C₂×C₂²⋊D₁₃	—	2	1	no	—
500	C₂×C₂²⋊D₁₃	—	2	1	no	—
501	C₂×C₂²⋊D₁₃	—	2	1	no	—
502	C₂×C₂²⋊D₁₃	—	2	1	no	—
503	C₂×C₂²⋊D₁₃	—	2	1	no	—
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂²×Dic₁₃	—	2	1	no	—
510	C₂²×Dic₁₃	—	2	1	no	—
511	#6131	—	2	2	no	—
512	#6131	—	4	1	no	—
513	Q₈×D₁₃	—	2	2	no	—
514	Q₈×D₁₃	—	2	2	no	—
515	Q₈×D₁₃	—	4	1	no	—
516	Q₈×D₁₃	—	4	1	no	—
517	#6129	—	2	2	no	—
518	#6129	—	4	1	no	—
519	#6127	—	2	4	no	—
520	#6127	—	2	2	no	—
521	#6127	—	4	1	no	—
522	#6127	—	4	4	no	—
523	#6127	—	4	4	no	—
524	C₂×D₅₂	—	2	1	no	—
525	C₂×D₅₂	—	2	1	no	—
526	C₂×D₅₂	—	2	1	no	—
527	C₂×D₅₂	—	2	1	no	—
528	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
529	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
530	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	2	1	no	—
537	C₂×C₄×D₁₃	—	2	1	no	—
538	C₂×C₄×D₁₃	—	2	1	no	—
539	C₂×C₄×D₁₃	—	2	1	no	—
540	C₂×C₄×D₁₃	—	2	1	no	—
541	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
545	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×Dic₂₆	—	2	1	no	—
548	C₂×Dic₂₆	—	2	1	no	—
549	C₂×Dic₂₆	—	2	1	no	—
550	C₂×Dic₂₆	—	2	1	no	—
551	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
552	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
553	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
554	C₁₃×Q₁₆	—	2	2	no	—
555	C₁₃×SD₁₆	—	2	2	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×D₈	—	4	1	no	—
558	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₁₃×C₂²⋊C₄	—	2	1	no	—
574	C₁₃×C₂²⋊C₄	—	2	1	no	—
575	C₁₃×C₂²⋊C₄	—	2	1	no	—
576	C₁₃×C₂²⋊C₄	—	2	1	no	—
577	C₁₃×C₂²⋊C₄	—	2	1	no	—
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₁₃×C₂²⋊C₄	—	2	1	no	—
580	C₄²×C₁₃	—	2	1	no	—
581	C₄²×C₁₃	—	2	1	no	—
582	C₄²×C₁₃	—	2	1	no	—
583	C₄²×C₁₃	—	2	1	no	—
584	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
585	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
586	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂²⋊Dic₁₃	—	2	1	no	—
589	C₂²⋊Dic₁₃	—	2	1	no	—
590	C₂²⋊Dic₁₃	—	2	1	no	—
591	C₂²⋊Dic₁₃	—	2	1	no	—
592	C₂²⋊Dic₁₃	—	2	1	no	—
593	C₂²⋊Dic₁₃	—	2	1	no	—
594	C₂²⋊Dic₁₃	—	2	1	no	—
595	C₂²⋊Dic₁₃	—	2	1	no	—
596	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
598	#6107	—	2	2	no	—
599	#6107	#41	1	4	yes	complemented
600	#6106	—	2	2	no	—
601	#6106	—	4	1	no	—
602	#6105	—	2	2	no	—
603	#6105	—	4	1	no	—
604	#6104	—	2	2	no	—
605	#6104	—	2	2	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	C₂×D₄	1	1	yes	characteristic
623	#6103	C₂×D₄	1	1	yes	characteristic
624	#6103	C₂×D₄	1	1	yes	characteristic
625	#6103	C₂×D₄	1	1	yes	characteristic
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	C₂×D₄	1	1	yes	characteristic
655	#6101	C₂×D₄	1	1	yes	characteristic
656	#6101	C₂×D₄	1	1	yes	characteristic
657	#6101	C₂×D₄	1	1	yes	characteristic
658	C₄×Dic₁₃	—	2	1	no	—
659	C₄×Dic₁₃	—	2	1	no	—
660	C₄×Dic₁₃	—	2	1	no	—
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	—	2	1	no	—
663	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂×#1055	—	2	2	no	—
677	C₂×#1055	—	4	1	no	—
678	C₂×#1055	C₂⁴	1	1	yes	characteristic
679	C₂×#1055	C₂⁴	1	1	yes	characteristic
680	C₂×#1055	C₂⁴	1	1	yes	characteristic
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	Dic₅₂	—	2	2	no	—
683	D₁₀₄	—	4	1	no	—
684	#6095	—	2	2	no	—
685	#6095	—	4	1	no	—
686	C₈×D₁₃	—	2	2	no	—
687	C₈×D₁₃	—	2	2	no	—
688	C₈×D₁₃	—	4	1	no	—
689	C₈×D₁₃	—	4	1	no	—
690	#3480	—	13	1	no	—
691	#3480	—	13	1	no	—
692	#3396	—	13	1	no	—
693	#3383	—	13	1	no	—
694	#3365	—	13	1	no	—
695	#3365	—	13	1	no	—
696	#3342	—	13	1	no	—
697	#3339	—	13	1	no	—
698	#3339	—	13	1	no	—
699	#3304	—	13	1	no	—
700	#3304	—	13	1	no	—
701	#3301	—	13	1	no	—
702	#3301	—	13	1	no	—
703	#3301	—	13	1	no	—
704	#3301	—	13	1	no	—
705	#3287	—	13	1	no	—
706	#3285	—	13	1	no	—
707	#3285	—	13	1	no	—
708	#3169	—	13	1	no	—
709	#3168	—	13	1	no	—
710	#3168	—	13	1	no	—
711	#3103	—	13	1	no	—
712	#3103	—	13	1	no	—
713	#3102	—	13	1	no	—
714	#3102	—	13	1	no	—
715	#3102	—	13	1	no	—
716	#3102	D₁₃	1	1	yes	characteristic, complemented
717	C₈×#41	—	13	1	no	—
718	C₄×#135	—	13	1	no	—
719	C₄×#135	—	13	1	no	—
720	C₂×C₄×Q₁₆	—	13	1	no	—
721	C₂³×C₁₃	—	2	1	no	—
722	C₂³×C₁₃	—	2	1	no	—
723	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
724	C₂²×D₁₃	—	2	1	no	—
725	C₂²×D₁₃	—	2	1	no	—
726	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
727	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	C₂×#41	1	2	yes	—
732	D₄×C₁₃	—	2	1	no	—
733	D₄×C₁₃	—	2	1	no	—
734	D₄×C₁₃	—	2	1	no	—
735	D₄×C₁₃	—	2	1	no	—
736	D₄×C₁₃	—	4	2	no	—
737	D₄×C₁₃	—	8	1	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	2	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	4	1	no	—
748	C₂×C₄×C₁₃	—	4	2	no	—
749	C₂×C₄×C₁₃	—	4	2	no	—
750	C₂×C₄×C₁₃	—	4	2	no	—
751	C₂×C₄×C₁₃	—	8	1	no	—
752	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
758	C₂²⋊D₁₃	—	2	2	no	—
759	C₂²⋊D₁₃	—	2	2	no	—
760	C₂²⋊D₁₃	—	4	2	no	—
761	C₂²⋊D₁₃	—	4	2	no	—
762	C₂²⋊D₁₃	—	4	2	no	—
763	C₂²⋊D₁₃	—	4	2	no	—
764	C₂²⋊D₁₃	—	4	2	no	—
765	C₂²⋊D₁₃	—	4	2	no	—
766	C₂²⋊D₁₃	—	8	1	no	—
767	C₂²⋊D₁₃	—	8	1	no	—
768	C₂²⋊D₁₃	—	8	1	no	—
769	C₂²⋊D₁₃	—	8	1	no	—
770	C₂×Dic₁₃	—	2	1	no	—
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	4	2	no	—
777	C₂×Dic₁₃	—	8	1	no	—
778	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
784	D₅₂	—	2	2	no	—
785	D₅₂	—	2	1	no	—
786	D₅₂	—	2	1	no	—
787	D₅₂	—	2	1	no	—
788	D₅₂	—	2	1	no	—
789	D₅₂	—	4	2	no	—
790	D₅₂	—	4	2	no	—
791	D₅₂	—	4	2	no	—
792	D₅₂	—	8	1	no	—
793	C₄×D₁₃	—	2	2	no	—
794	C₄×D₁₃	—	2	1	no	—
795	C₄×D₁₃	—	2	1	no	—
796	C₄×D₁₃	—	2	1	no	—
797	C₄×D₁₃	—	2	1	no	—
798	C₄×D₁₃	—	4	1	no	—
799	C₄×D₁₃	—	4	1	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	4	2	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	8	1	no	—
807	C₄×D₁₃	—	8	1	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	C₄×D₁₃	#135	1	4	yes	complemented
811	Dic₂₆	—	2	1	no	—
812	Dic₂₆	—	2	2	no	—
813	Dic₂₆	—	2	1	no	—
814	Dic₂₆	—	2	1	no	—
815	Dic₂₆	—	4	2	no	—
816	Dic₂₆	—	4	2	no	—
817	Dic₂₆	—	4	2	no	—
818	Dic₂₆	—	4	2	no	—
819	Dic₂₆	C₂×#41	1	2	yes	—
820	C₈×C₁₃	—	2	1	no	—
821	C₈×C₁₃	—	2	1	no	—
822	C₈×C₁₃	—	2	1	no	—
823	C₈×C₁₃	—	2	1	no	—
824	#1055	—	2	1	no	—
825	#1055	—	2	1	no	—
826	#1055	—	2	1	no	—
827	#1055	C₂×#41	1	2	yes	—
828	C₂×#135	—	13	1	no	—
829	C₂×#135	—	13	1	no	—
830	C₂²×Q₁₆	—	13	1	no	—
831	#559	—	13	1	no	—
832	#559	—	13	1	no	—
833	#559	—	26	1	no	—
834	#559	—	26	1	no	—
835	#557	—	13	1	no	—
836	#557	—	13	1	no	—
837	#556	—	13	1	no	—
838	#556	—	13	1	no	—
839	#556	—	26	1	no	—
840	#556	—	26	1	no	—
841	#553	—	13	1	no	—
842	#553	—	13	1	no	—
843	#553	—	13	1	no	—
844	#553	—	13	1	no	—
845	#553	—	26	1	no	—
846	#553	—	26	1	no	—
847	#553	—	26	1	no	—
848	#553	—	26	1	no	—
849	#550	—	13	1	no	—
850	#550	—	13	1	no	—
851	#548	—	13	1	no	—
852	#548	—	13	1	no	—
853	#548	—	13	1	no	—
854	#548	—	13	1	no	—
855	#532	—	13	1	no	—
856	#532	—	13	1	no	—
857	#532	—	26	1	no	—
858	#532	—	26	1	no	—
859	#529	—	13	1	no	—
860	#529	—	13	1	no	—
861	#529	—	13	1	no	—
862	#529	—	26	1	no	—
863	#529	—	26	1	no	—
864	#529	—	26	1	no	—
865	#529	—	26	1	no	—
866	#529	C₂×D₁₃	1	1	yes	characteristic
867	C₄×#41	—	13	1	no	—
868	C₄×#41	—	13	1	no	—
869	C₄×#41	—	13	1	no	—
870	C₄×#41	—	13	1	no	—
871	C₄×#41	—	26	1	no	—
872	C₄×#41	—	26	1	no	—
873	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
874	C₂×C₄×Q₈	—	13	1	no	—
875	C₂×C₄×Q₈	—	13	1	no	—
876	#500	—	13	1	no	—
877	#499	—	13	1	no	—
878	#499	—	13	1	no	—
879	#495	—	13	1	no	—
880	#495	—	13	1	no	—
881	#493	—	13	1	no	—
882	#488	—	13	1	no	—
883	#488	—	13	1	no	—
884	#488	—	13	1	no	—
885	#488	—	13	1	no	—
886	#486	—	13	1	no	—
887	#486	—	13	1	no	—
888	#485	—	13	1	no	—
889	#485	—	13	1	no	—
890	#485	—	13	1	no	—
891	#485	C₂×D₁₃	1	1	yes	characteristic
892	#482	—	13	1	no	—
893	#482	—	13	1	no	—
894	#482	—	13	1	no	—
895	#482	C₂×D₁₃	1	1	yes	characteristic
896	#481	—	13	1	no	—
897	#481	—	13	1	no	—
898	#481	—	13	1	no	—
899	#481	—	13	1	no	—
900	#479	—	13	1	no	—
901	#479	—	13	1	no	—
902	#479	—	13	1	no	—
903	#479	C₂×D₁₃	1	1	yes	characteristic
904	#478	—	13	1	no	—
905	#478	—	13	1	no	—
906	#478	—	13	1	no	—
907	#478	C₂×D₁₃	1	1	yes	characteristic
908	#475	—	13	1	no	—
909	#475	—	13	1	no	—
910	#475	—	13	1	no	—
911	#475	—	13	1	no	—
912	#467	—	13	1	no	—
913	#467	—	13	1	no	—
914	#466	—	13	1	no	—
915	#466	—	13	1	no	—
916	#466	—	13	1	no	—
917	#466	—	13	1	no	—
918	#466	—	13	1	no	—
919	#466	—	13	1	no	—
920	#465	—	13	1	no	—
921	#465	—	13	1	no	—
922	#465	—	13	1	no	—
923	#465	—	13	1	no	—
924	#464	—	13	1	no	—
925	#464	—	13	1	no	—
926	#464	—	13	1	no	—
927	#464	C₂×D₁₃	1	1	yes	characteristic
928	#463	—	13	1	no	—
929	#463	—	13	1	no	—
930	#463	—	13	1	no	—
931	#463	C₂×D₁₃	1	1	yes	characteristic
932	#460	—	13	1	no	—
933	#460	—	13	1	no	—
934	#460	—	13	1	no	—
935	#460	—	13	1	no	—
936	#452	—	13	1	no	—
937	#452	—	13	1	no	—
938	#452	—	13	1	no	—
939	#452	C₂×D₁₃	1	1	yes	characteristic
940	#449	—	13	1	no	—
941	#449	—	13	1	no	—
942	#449	—	13	1	no	—
943	#449	C₂×D₁₃	1	1	yes	characteristic
944	#448	—	13	1	no	—
945	#448	—	13	1	no	—
946	#448	—	13	1	no	—
947	#448	—	13	1	no	—
948	C₈×Q₈	—	13	1	no	—
949	C₈×Q₈	—	13	1	no	—
950	C₄×Q₁₆	—	13	1	no	—
951	C₄×Q₁₆	—	13	1	no	—
952	C₄×Q₁₆	—	13	1	no	—
953	C₄×Q₁₆	—	13	1	no	—
954	C₄×Q₁₆	—	13	1	no	—
955	C₄×Q₁₆	—	13	1	no	—
956	C₄×Q₁₆	—	13	1	no	—
957	C₄×Q₁₆	—	13	1	no	—
958	C₄×Q₁₆	—	13	1	no	—
959	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
960	C₄×SD₁₆	—	13	1	no	—
961	C₄×SD₁₆	—	13	1	no	—
962	C₄×SD₁₆	—	13	1	no	—
963	C₄×SD₁₆	—	13	1	no	—
964	C₄×SD₁₆	—	13	1	no	—
965	C₄×SD₁₆	—	13	1	no	—
966	C₄×SD₁₆	—	13	1	no	—
967	C₄×SD₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
971	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
972	C₄×D₈	—	13	1	no	—
973	C₄×D₈	—	13	1	no	—
974	C₄×D₈	—	13	1	no	—
975	C₄×D₈	—	13	1	no	—
976	C₄×D₈	—	13	1	no	—
977	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
978	C₈×D₄	—	13	1	no	—
979	C₈×D₄	—	13	1	no	—
980	C₈×D₄	—	13	1	no	—
981	C₈×D₄	—	13	1	no	—
982	C₈×D₄	—	13	1	no	—
983	C₈×D₄	—	13	1	no	—
984	#431	—	13	1	no	—
985	#431	—	13	1	no	—
986	#431	C₂×D₁₃	1	1	yes	characteristic
987	#427	—	13	1	no	—
988	#427	—	13	1	no	—
989	C₂×#107	—	13	1	no	—
990	#416	—	13	1	no	—
991	#416	—	13	1	no	—
992	#416	—	13	1	no	—
993	#416	—	13	1	no	—
994	C₂×#103	—	13	1	no	—
995	C₂×#103	—	13	1	no	—
996	C₂×C₄×C₈	—	13	1	no	—
997	C₂×C₄×C₈	—	13	1	no	—
998	C₂×C₄×C₈	—	13	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	4	1	no	—
1003	C₂²×C₁₃	—	4	1	no	—
1004	C₂²×C₁₃	—	4	1	no	—
1005	C₂²×C₁₃	—	4	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1009	C₂×D₁₃	—	2	1	no	—
1010	C₂×D₁₃	—	2	1	no	—
1011	C₂×D₁₃	—	2	1	no	—
1012	C₂×D₁₃	—	2	1	no	—
1013	C₂×D₁₃	—	2	1	no	—
1014	C₂×D₁₃	—	4	1	no	—
1015	C₂×D₁₃	—	4	1	no	—
1016	C₂×D₁₃	—	4	1	no	—
1017	C₂×D₁₃	—	4	1	no	—
1018	C₂×D₁₃	—	4	1	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	C₂×#135	1	2	yes	—
1021	C₄×C₁₃	—	2	1	no	—
1022	C₄×C₁₃	—	2	1	no	—
1023	C₄×C₁₃	—	2	2	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	4	1	no	—
1027	C₄×C₁₃	—	4	1	no	—
1028	C₄×C₁₃	—	4	1	no	—
1029	C₄×C₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	4	1	no	—
1031	C₄×C₁₃	C₂×#135	1	2	yes	—
1032	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1033	C₄×C₁₃	#585	1	1	yes	characteristic
1034	Dic₁₃	—	2	1	no	—
1035	Dic₁₃	—	2	1	no	—
1036	Dic₁₃	—	2	2	no	—
1037	Dic₁₃	—	2	1	no	—
1038	Dic₁₃	—	2	1	no	—
1039	Dic₁₃	—	2	1	no	—
1040	Dic₁₃	—	4	1	no	—
1041	Dic₁₃	—	4	1	no	—
1042	Dic₁₃	—	4	1	no	—
1043	Dic₁₃	—	4	1	no	—
1044	Dic₁₃	—	4	1	no	—
1045	Dic₁₃	C₂×#135	1	2	yes	—
1046	C₂×#41	—	13	1	no	—
1047	C₂×#41	—	13	1	no	—
1048	C₂×#41	—	13	1	no	—
1049	C₂×#41	—	13	1	no	—
1050	C₂×#41	—	26	1	no	—
1051	C₂×#41	—	26	1	no	—
1052	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂²×Q₈	—	13	1	no	—
1054	C₂²×Q₈	—	13	1	no	—
1055	#135	—	26	4	no	—
1056	#135	—	26	4	no	—
1057	C₂×Q₁₆	—	13	1	no	—
1058	C₂×Q₁₆	—	13	1	no	—
1059	C₂×Q₁₆	—	13	1	no	—
1060	C₂×Q₁₆	—	26	4	no	—
1061	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×SD₁₆	—	13	1	no	—
1063	C₂×SD₁₆	—	13	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	13	1	no	—
1066	C₂×SD₁₆	—	13	1	no	—
1067	C₂×SD₁₆	—	13	1	no	—
1068	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1070	C₂×D₈	—	13	1	no	—
1071	C₂×D₈	—	13	1	no	—
1072	C₂×D₈	—	13	1	no	—
1073	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1074	C₂²×C₈	—	13	1	no	—
1075	C₂²×C₈	—	13	1	no	—
1076	C₂²×C₈	—	13	1	no	—
1077	C₂²×C₈	—	13	1	no	—
1078	C₂²×C₈	—	13	1	no	—
1079	C₂²×C₈	—	13	1	no	—
1080	C₄⋊Q₈	—	13	1	no	—
1081	C₄⋊Q₈	—	13	1	no	—
1082	C₄⋊Q₈	—	26	1	no	—
1083	C₄⋊Q₈	—	26	1	no	—
1084	#127	—	13	1	no	—
1085	#127	—	13	1	no	—
1086	#127	—	26	1	no	—
1087	#127	—	26	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	26	1	no	—
1090	#126	—	26	1	no	—
1091	#126	—	26	1	no	—
1092	#126	—	26	1	no	—
1093	#126	—	26	1	no	—
1094	#126	—	26	1	no	—
1095	#126	—	26	1	no	—
1096	#126	—	26	1	no	—
1097	#126	—	26	1	no	—
1098	#126	—	26	1	no	—
1099	#126	—	26	1	no	—
1100	#125	—	13	1	no	—
1101	#125	—	13	1	no	—
1102	#125	—	13	1	no	—
1103	#125	—	26	1	no	—
1104	#125	—	26	1	no	—
1105	#125	—	26	1	no	—
1106	#125	—	26	1	no	—
1107	#125	C₂²×D₁₃	1	1	yes	characteristic
1108	#124	—	13	1	no	—
1109	#124	—	13	1	no	—
1110	#124	—	13	1	no	—
1111	#124	—	26	1	no	—
1112	#124	—	26	1	no	—
1113	#124	—	26	1	no	—
1114	#124	—	26	1	no	—
1115	#124	—	26	1	no	—
1116	#124	—	26	1	no	—
1117	#124	—	26	1	no	—
1118	#124	—	26	1	no	—
1119	#124	—	26	1	no	—
1120	#124	—	26	1	no	—
1121	#124	C₂²×D₁₃	1	1	yes	characteristic
1122	#123	—	2	1	no	—
1123	#123	—	26	1	no	—
1124	#123	—	26	1	no	—
1125	#123	—	26	1	no	—
1126	#123	—	26	1	no	—
1127	#123	—	26	1	no	—
1128	#123	—	26	1	no	—
1129	#123	—	26	1	no	—
1130	#123	—	26	1	no	—
1131	#123	—	26	1	no	—
1132	#123	—	26	1	no	—
1133	#123	—	26	1	no	—
1134	C₂²⋊Q₈	—	13	1	no	—
1135	C₂²⋊Q₈	—	13	1	no	—
1136	C₂²⋊Q₈	—	13	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1142	#121	—	13	1	no	—
1143	#121	—	13	1	no	—
1144	#121	—	13	1	no	—
1145	#121	—	13	1	no	—
1146	#121	—	13	1	no	—
1147	#121	—	13	1	no	—
1148	#121	—	13	1	no	—
1149	#121	—	26	1	no	—
1150	#121	—	26	1	no	—
1151	#121	—	26	1	no	—
1152	#121	—	26	1	no	—
1153	#121	—	26	1	no	—
1154	#121	—	26	1	no	—
1155	#121	—	26	1	no	—
1156	#121	—	26	1	no	—
1157	#121	—	26	1	no	—
1158	#121	—	26	1	no	—
1159	#121	—	26	1	no	—
1160	#121	—	26	1	no	—
1161	#121	—	26	1	no	—
1162	#121	—	26	1	no	—
1163	#121	C₂²×D₁₃	1	1	yes	characteristic
1164	C₄×Q₈	—	13	1	no	—
1165	C₄×Q₈	—	13	1	no	—
1166	C₄×Q₈	—	13	1	no	—
1167	C₄×Q₈	—	13	1	no	—
1168	C₄×Q₈	—	13	1	no	—
1169	C₄×Q₈	—	13	1	no	—
1170	C₄×Q₈	—	13	1	no	—
1171	C₄×Q₈	—	13	1	no	—
1172	C₄×Q₈	—	13	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	26	1	no	—
1176	C₄×Q₈	—	26	1	no	—
1177	C₄×Q₈	—	26	1	no	—
1178	C₄×Q₈	—	26	1	no	—
1179	C₄×Q₈	—	26	1	no	—
1180	C₄×Q₈	—	26	1	no	—
1181	C₄×Q₈	—	26	1	no	—
1182	C₄×Q₈	—	26	1	no	—
1183	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	13	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	13	1	no	—
1229	#117	—	13	1	no	—
1230	#117	—	13	1	no	—
1231	#117	—	13	1	no	—
1232	#117	—	13	1	no	—
1233	#117	—	13	1	no	—
1234	#117	—	26	1	no	—
1235	#117	—	26	1	no	—
1236	#117	—	26	1	no	—
1237	#117	—	26	1	no	—
1238	#117	—	26	1	no	—
1239	#117	—	26	1	no	—
1240	#117	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	13	1	no	—
1242	C₂×C₄⋊C₄	—	13	1	no	—
1243	C₂×C₄⋊C₄	—	26	1	no	—
1244	C₂×C₄⋊C₄	—	26	1	no	—
1245	C₂×C₄²	—	2	1	no	—
1246	C₂×C₄²	—	13	1	no	—
1247	C₂×C₄²	—	13	1	no	—
1248	C₂×C₄²	—	26	1	no	—
1249	C₂×C₄²	—	26	1	no	—
1250	C₂×C₄²	—	26	1	no	—
1251	C₂×C₄²	—	26	1	no	—
1252	C₂×C₄²	—	26	1	no	—
1253	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1254	#107	—	13	1	no	—
1255	#107	—	13	1	no	—
1256	#107	—	13	1	no	—
1257	#107	—	13	1	no	—
1258	#107	—	13	1	no	—
1259	#107	—	13	1	no	—
1260	#107	C₂²×D₁₃	1	1	yes	characteristic
1261	#107	C₂²×D₁₃	1	1	yes	characteristic
1262	#106	—	13	1	no	—
1263	#106	—	13	1	no	—
1264	#106	—	13	1	no	—
1265	#106	—	13	1	no	—
1266	#106	—	13	1	no	—
1267	#106	—	13	1	no	—
1268	#106	C₂²×D₁₃	1	1	yes	characteristic
1269	#106	C₂²×D₁₃	1	1	yes	characteristic
1270	C₄⋊C₈	—	13	1	no	—
1271	C₄⋊C₈	—	13	1	no	—
1272	C₄⋊C₈	—	13	1	no	—
1273	C₄⋊C₈	—	13	1	no	—
1274	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	—	13	1	no	—
1283	#103	—	13	1	no	—
1284	#103	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	C₂²×D₁₃	1	1	yes	characteristic
1289	#103	C₂²×D₁₃	1	1	yes	characteristic
1290	#103	C₂²×D₁₃	1	1	yes	characteristic
1291	#103	C₂²×D₁₃	1	1	yes	characteristic
1292	#102	—	13	1	no	—
1293	#102	—	13	1	no	—
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	C₂²×D₁₃	1	1	yes	characteristic
1305	#102	C₂²×D₁₃	1	1	yes	characteristic
1306	#102	C₂²×D₁₃	1	1	yes	characteristic
1307	#102	C₂²×D₁₃	1	1	yes	characteristic
1308	C₂²⋊C₈	—	13	1	no	—
1309	C₂²⋊C₈	—	13	1	no	—
1310	C₂²⋊C₈	—	13	1	no	—
1311	C₂²⋊C₈	—	13	1	no	—
1312	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄×C₈	—	13	1	no	—
1315	C₄×C₈	—	13	1	no	—
1316	C₄×C₈	—	13	1	no	—
1317	C₄×C₈	—	13	1	no	—
1318	C₄×C₈	—	13	1	no	—
1319	C₄×C₈	—	13	1	no	—
1320	C₄×C₈	—	13	1	no	—
1321	C₄×C₈	—	13	1	no	—
1322	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1323	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1324	C₂×C₁₃	—	4	1	no	—
1325	C₂×C₁₃	—	8	1	no	—
1326	C₂×C₁₃	—	8	1	no	—
1327	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1328	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1329	C₂×C₁₃	#3584	1	1	yes	characteristic
1330	D₁₃	—	2	2	no	—
1331	D₁₃	—	4	1	no	—
1332	D₁₃	—	8	1	no	—
1333	D₁₃	—	8	1	no	—
1334	#41	—	2	2	no	—
1335	#41	—	4	1	no	—
1336	#41	—	26	4	no	—
1337	#41	—	26	2	no	—
1338	#41	—	26	2	no	—
1339	#41	—	26	2	no	—
1340	#41	—	52	1	no	—
1341	#41	—	52	4	no	—
1342	#41	—	52	4	no	—
1343	#41	—	52	1	no	—
1344	#41	—	52	1	no	—
1345	C₂×Q₈	—	13	1	no	—
1346	C₂×Q₈	—	13	1	no	—
1347	C₂×Q₈	—	13	1	no	—
1348	C₂×Q₈	—	26	1	no	—
1349	C₂×Q₈	—	26	1	no	—
1350	C₂×Q₈	—	26	1	no	—
1351	C₂×Q₈	—	26	1	no	—
1352	C₂×Q₈	—	26	2	no	—
1353	C₂×Q₈	—	26	2	no	—
1354	C₂×Q₈	—	52	1	no	—
1355	C₂×Q₈	—	52	1	no	—
1356	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1357	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	13	1	no	—
1361	C₂×D₄	—	13	1	no	—
1362	C₂×D₄	—	13	1	no	—
1363	C₂×D₄	—	13	1	no	—
1364	C₂×D₄	—	13	1	no	—
1365	C₂×D₄	—	26	1	no	—
1366	C₂×D₄	—	26	1	no	—
1367	C₂×D₄	—	26	1	no	—
1368	C₂×D₄	—	26	1	no	—
1369	C₂×D₄	—	26	1	no	—
1370	C₂×D₄	—	26	1	no	—
1371	C₂×D₄	—	26	1	no	—
1372	C₂×D₄	—	26	1	no	—
1373	C₂×D₄	—	26	1	no	—
1374	C₂×D₄	—	26	1	no	—
1375	C₂×D₄	—	26	1	no	—
1376	C₂×D₄	—	26	1	no	—
1377	C₂×D₄	—	26	1	no	—
1378	C₂×D₄	—	26	1	no	—
1379	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1380	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	13	1	no	—
1386	C₂²×C₄	—	13	1	no	—
1387	C₂²×C₄	—	13	1	no	—
1388	C₂²×C₄	—	13	1	no	—
1389	C₂²×C₄	—	13	1	no	—
1390	C₂²×C₄	—	13	1	no	—
1391	C₂²×C₄	—	26	1	no	—
1392	C₂²×C₄	—	26	1	no	—
1393	C₂²×C₄	—	26	1	no	—
1394	C₂²×C₄	—	26	1	no	—
1395	C₂²×C₄	—	26	1	no	—
1396	C₂²×C₄	—	26	1	no	—
1397	C₂²×C₄	—	26	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1404	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1406	Q₁₆	—	2	2	no	—
1407	Q₁₆	—	13	4	no	—
1408	Q₁₆	—	26	2	no	—
1409	Q₁₆	—	26	2	no	—
1410	SD₁₆	—	2	2	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	26	2	no	—
1413	SD₁₆	—	26	2	no	—
1414	SD₁₆	—	26	2	no	—
1415	SD₁₆	—	52	1	no	—
1416	SD₁₆	—	52	1	no	—
1417	SD₁₆	—	52	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	26	2	no	—
1420	D₈	—	26	2	no	—
1421	D₈	—	52	1	no	—
1422	C₂×C₈	—	13	1	no	—
1423	C₂×C₈	—	13	1	no	—
1424	C₂×C₈	—	13	1	no	—
1425	C₂×C₈	—	13	1	no	—
1426	C₂×C₈	—	26	2	no	—
1427	C₂×C₈	—	26	2	no	—
1428	C₂×C₈	—	26	2	no	—
1429	C₂×C₈	—	52	1	no	—
1430	C₂×C₈	—	52	1	no	—
1431	C₂×C₈	—	52	1	no	—
1432	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	13	1	no	—
1443	C₄⋊C₄	—	13	1	no	—
1444	C₄⋊C₄	—	13	1	no	—
1445	C₄⋊C₄	—	13	1	no	—
1446	C₄⋊C₄	—	13	1	no	—
1447	C₄⋊C₄	—	13	1	no	—
1448	C₄⋊C₄	—	13	1	no	—
1449	C₄⋊C₄	—	13	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	13	1	no	—
1487	C₂²⋊C₄	—	13	1	no	—
1488	C₂²⋊C₄	—	13	1	no	—
1489	C₂²⋊C₄	—	13	1	no	—
1490	C₂²⋊C₄	—	13	1	no	—
1491	C₂²⋊C₄	—	13	1	no	—
1492	C₂²⋊C₄	—	26	1	no	—
1493	C₂²⋊C₄	—	26	1	no	—
1494	C₂²⋊C₄	—	26	1	no	—
1495	C₂²⋊C₄	—	26	1	no	—
1496	C₂²⋊C₄	—	26	1	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	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	13	1	no	—
1521	C₄²	—	13	1	no	—
1522	C₄²	—	13	1	no	—
1523	C₄²	—	13	1	no	—
1524	C₄²	—	13	1	no	—
1525	C₄²	—	13	1	no	—
1526	C₄²	—	26	1	no	—
1527	C₄²	—	26	1	no	—
1528	C₄²	—	26	1	no	—
1529	C₄²	—	26	1	no	—
1530	C₄²	—	26	1	no	—
1531	C₄²	—	26	1	no	—
1532	C₄²	—	26	1	no	—
1533	C₄²	—	26	1	no	—
1534	C₄²	—	26	1	no	—
1535	C₄²	—	26	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	D₄×D₁₃	1	1	yes	characteristic
1539	C₄²	D₄×D₁₃	1	1	yes	characteristic
1540	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1541	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1542	C₁₃	#61430	1	1	yes	characteristic, complemented, Sylow
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	13	1	no	—
1546	C₂³	—	13	1	no	—
1547	C₂³	—	26	1	no	—
1548	C₂³	—	26	1	no	—
1549	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	13	2	no	—
1554	Q₈	—	26	2	no	—
1555	Q₈	—	26	1	no	—
1556	Q₈	—	26	1	no	—
1557	Q₈	—	26	1	no	—
1558	Q₈	—	52	2	no	—
1559	Q₈	—	52	2	no	—
1560	Q₈	—	52	2	no	—
1561	Q₈	—	52	2	no	—
1562	Q₈	#41×D₁₃	1	2	yes	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	26	2	no	—
1570	D₄	—	26	2	no	—
1571	D₄	—	26	2	no	—
1572	D₄	—	26	1	no	—
1573	D₄	—	26	1	no	—
1574	D₄	—	26	1	no	—
1575	D₄	—	26	1	no	—
1576	D₄	—	52	2	no	—
1577	D₄	—	52	2	no	—
1578	D₄	—	52	2	no	—
1579	D₄	—	52	2	no	—
1580	D₄	—	52	2	no	—
1581	D₄	—	52	2	no	—
1582	D₄	—	52	2	no	—
1583	D₄	—	52	2	no	—
1584	D₄	—	52	2	no	—
1585	D₄	—	104	1	no	—
1586	D₄	—	104	1	no	—
1587	D₄	—	104	1	no	—
1588	D₄	—	104	1	no	—
1589	D₄	—	104	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	4	2	no	—
1602	C₂×C₄	—	4	2	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	13	1	no	—
1605	C₂×C₄	—	13	4	no	—
1606	C₂×C₄	—	13	1	no	—
1607	C₂×C₄	—	13	1	no	—
1608	C₂×C₄	—	13	1	no	—
1609	C₂×C₄	—	13	1	no	—
1610	C₂×C₄	—	13	1	no	—
1611	C₂×C₄	—	26	1	no	—
1612	C₂×C₄	—	26	2	no	—
1613	C₂×C₄	—	26	1	no	—
1614	C₂×C₄	—	26	1	no	—
1615	C₂×C₄	—	26	1	no	—
1616	C₂×C₄	—	26	1	no	—
1617	C₂×C₄	—	26	1	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	1	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	26	1	no	—
1622	C₂×C₄	—	52	1	no	—
1623	C₂×C₄	—	52	1	no	—
1624	C₂×C₄	—	52	2	no	—
1625	C₂×C₄	—	52	2	no	—
1626	C₂×C₄	—	52	2	no	—
1627	C₂×C₄	—	52	2	no	—
1628	C₂×C₄	—	52	2	no	—
1629	C₂×C₄	—	52	2	no	—
1630	C₂×C₄	—	52	2	no	—
1631	C₂×C₄	—	104	1	no	—
1632	C₂×C₄	—	104	1	no	—
1633	C₂×C₄	—	104	1	no	—
1634	C₂×C₄	—	104	1	no	—
1635	C₂×C₄	—	104	1	no	—
1636	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	13	2	no	—
1647	C₈	—	26	1	no	—
1648	C₈	—	26	1	no	—
1649	C₈	—	26	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	13	2	no	—
1660	C₂²	—	26	1	no	—
1661	C₂²	—	26	1	no	—
1662	C₂²	—	26	1	no	—
1663	C₂²	—	26	1	no	—
1664	C₂²	—	26	1	no	—
1665	C₂²	—	52	1	no	—
1666	C₂²	—	52	1	no	—
1667	C₂²	—	52	1	no	—
1668	C₂²	—	52	1	no	—
1669	C₂²	—	52	1	no	—
1670	C₂²	—	52	1	no	—
1671	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	2	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	13	2	no	—
1683	C₄	—	26	1	no	—
1684	C₄	—	26	1	no	—
1685	C₄	—	26	1	no	—
1686	C₄	—	26	2	no	—
1687	C₄	—	26	1	no	—
1688	C₄	—	26	1	no	—
1689	C₄	—	52	1	no	—
1690	C₄	—	52	1	no	—
1691	C₄	—	52	1	no	—
1692	C₄	—	52	1	no	—
1693	C₄	—	52	1	no	—
1694	C₄	D₁₃×#135	1	2	yes	—
1695	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1696	C₄	#11719648	1	1	yes	characteristic
1697	C₂	—	4	1	no	—
1698	C₂	—	8	1	no	—
1699	C₂	—	8	1	no	—
1700	C₂	—	26	2	no	—
1701	C₂	—	52	1	no	—
1702	C₂	—	104	1	no	—
1703	C₂	—	104	1	no	—
1704	C₂	#13128319	1	1	yes	characteristic
1705	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1706	C₂	#13129609	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3102	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3102	D₁₃
hypocenter	C₁₃	#61430
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3102

Complements

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

N	H ≅ G/N	type
1. #13128434	C₂	semidirect
2. #13128427	C₂	semidirect
3. #13127843	C₂	semidirect
4. #13127722	C₂	semidirect
5. #13127535	C₂	semidirect
6. #13127527	C₂	semidirect
7. #13127261	C₂	semidirect
8. #13127235	C₂	semidirect
9. #13127231	C₂	semidirect
10. #13126773	C₂	semidirect
11. #13126768	C₂	semidirect
12. #13126745	C₂	semidirect
13. #13126741	C₂	semidirect
14. #13126735	C₂	semidirect
15. #13126731	C₂	semidirect
16. #13126589	C₂	semidirect
17. #13126575	C₂	semidirect
18. #13126572	C₂	semidirect
19. #13125412	C₂	semidirect
20. #13125402	C₂	semidirect
21. #13125400	C₂	semidirect
22. #13124865	C₂	semidirect
23. #13124865	C₂	semidirect
24. #13124860	C₂	semidirect
25. #13124856	C₂	semidirect
26. #13124850	C₂	semidirect
27. #13123792	C₂	semidirect
28. C₄×#88204	C₂	semidirect
29. C₄×#88170	C₂	semidirect
30. C₄×Q₁₆×D₁₃	C₂	semidirect
31. C₁₃×#3102	C₂	semidirect
599. #6107	#41	semidirect
716. #3102	D₁₃	semidirect
810. C₄×D₁₃	#135	semidirect
1542. C₁₃	#61430	semidirect

Maximal subgroups

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

subgroup	index
#13128434	2
#13128427	2
#13127843	2
#13127722	2
#13127535	2
#13127527	2
#13127261	2
#13127235	2
#13127231	2
#13126773	2
#13126768	2
#13126745	2
#13126741	2
#13126735	2
#13126731	2
#13126589	2
#13126575	2
#13126572	2
#13125412	2
#13125402	2
#13125400	2
#13124865	2
#13124860	2
#13124856	2
#13124850	2
#13123792	2
C₄×#88204	2
C₄×#88170	2
C₄×Q₁₆×D₁₃	2
C₁₃×#3102	2
#61430	13