Subgroups — #16744724

Order 3328.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128454	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128453	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127910	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127798	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127685	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127671	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127411	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127279	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127273	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127108	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127107	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126880	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126830	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126824	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126493	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126412	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126409	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125440	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125436	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125409	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124920	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124920	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124873	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124860	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124856	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123800	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88172	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88196	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#533	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
34	#11719522	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
36	C₂×#88196	C₂²	1	1	yes	characteristic
37	C₂×#88172	C₂²	1	1	yes	characteristic
38	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	#11719437	C₂²	1	1	yes	characteristic
40	#11719432	C₂²	1	1	yes	characteristic
41	#11719431	C₂²	1	1	yes	characteristic
42	#11719426	C₂²	1	1	yes	characteristic
43	#11719398	—	2	1	no	—
44	#11719398	—	2	1	no	—
45	#11719346	—	2	1	no	—
46	#11719344	C₂²	1	1	yes	characteristic
47	#11719344	C₂²	1	1	yes	characteristic
48	#11719338	C₂²	1	1	yes	characteristic
49	#11719338	C₂²	1	1	yes	characteristic
50	#11719336	—	2	1	no	—
51	#11719286	—	2	1	no	—
52	#11719286	C₂²	1	1	yes	characteristic
53	#11719285	—	2	1	no	—
54	#11719285	C₂²	1	1	yes	characteristic
55	#11719285	C₂²	1	1	yes	characteristic
56	#11719285	C₂²	1	1	yes	characteristic
57	#11719283	—	2	1	no	—
58	#11719283	—	2	1	no	—
59	#11719283	C₂²	1	1	yes	characteristic
60	#11719281	C₂²	1	1	yes	characteristic
61	C₄×#6131	—	2	1	no	—
62	C₄×#6131	C₂²	1	1	yes	characteristic
63	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
66	#11719274	C₂²	1	1	yes	characteristic
67	#11719273	—	2	1	no	—
68	#11719273	C₂²	1	1	yes	characteristic
69	#11719233	—	2	1	no	—
70	#11719233	—	2	1	no	—
71	#11719218	—	2	1	no	—
72	#11719218	C₂²	1	1	yes	characteristic
73	#11719212	—	2	1	no	—
74	#11719212	C₂²	1	1	yes	characteristic
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×#484	C₂²	1	1	yes	characteristic
81	C₁₃×#484	C₂²	1	1	yes	characteristic
82	C₁₃×#477	C₂²	1	1	yes	characteristic
83	C₁₃×#477	C₂²	1	1	yes	characteristic
84	C₁₃×#462	C₂²	1	1	yes	characteristic
85	C₁₃×#462	C₂²	1	1	yes	characteristic
86	C₁₃×#451	C₂²	1	1	yes	characteristic
87	C₁₃×#451	C₂²	1	1	yes	characteristic
88	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
89	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
90	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
91	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
92	C₁₃×#431	C₂²	1	1	yes	characteristic
93	#11718886	C₂²	1	1	yes	characteristic
94	#11718852	C₂²	1	1	yes	characteristic
95	#11718851	C₂²	1	1	yes	characteristic
96	#11718850	C₂²	1	1	yes	characteristic
97	#11718849	C₂²	1	1	yes	characteristic
98	#11718848	C₂²	1	1	yes	characteristic
99	#11718847	C₂²	1	1	yes	characteristic
100	#11718847	C₂²	1	1	yes	characteristic
101	#11718847	C₂²	1	1	yes	characteristic
102	#11718846	C₂²	1	1	yes	characteristic
103	#11718846	C₂²	1	1	yes	characteristic
104	#11718846	C₂²	1	1	yes	characteristic
105	#11718845	C₂²	1	1	yes	characteristic
106	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
107	#11718843	C₂²	1	1	yes	characteristic
108	#11718750	C₂²	1	1	yes	characteristic
109	#11718747	C₂²	1	1	yes	characteristic
110	#11718743	C₂²	1	1	yes	characteristic
111	#11718741	C₂²	1	1	yes	characteristic
112	#11718713	C₂²	1	1	yes	characteristic
113	#11718713	C₂²	1	1	yes	characteristic
114	#11718710	C₂²	1	1	yes	characteristic
115	#11718710	C₂²	1	1	yes	characteristic
116	#11718691	C₂²	1	1	yes	characteristic
117	#11718691	C₂²	1	1	yes	characteristic
118	C₄×#6107	C₂²	1	1	yes	characteristic
119	C₄×#6107	C₂²	1	1	yes	characteristic
120	C₄×#6107	C₂²	1	1	yes	characteristic
121	C₄×#6107	C₂²	1	1	yes	characteristic
122	#11718687	C₂²	1	1	yes	characteristic
123	#11718687	C₂²	1	1	yes	characteristic
124	C₄×#6106	C₂²	1	1	yes	characteristic
125	C₄×#6106	C₂²	1	1	yes	characteristic
126	C₄×#6106	C₂²	1	1	yes	characteristic
127	C₄×#6106	C₂²	1	1	yes	characteristic
128	#11718627	C₂²	1	1	yes	characteristic
129	#11718625	C₂²	1	1	yes	characteristic
130	C₄×#6099	C₂²	1	1	yes	characteristic
131	#11718552	C₂²	1	1	yes	characteristic
132	#11718550	C₂²	1	1	yes	characteristic
133	#11718547	C₂²	1	1	yes	characteristic
134	#11718546	C₂²	1	1	yes	characteristic
135	#11718545	C₂²	1	1	yes	characteristic
136	#11718544	C₂²	1	1	yes	characteristic
137	#11718543	C₂²	1	1	yes	characteristic
138	#11718543	C₂²	1	1	yes	characteristic
139	#11718542	C₂²	1	1	yes	characteristic
140	D₁₃×#107	C₂²	1	1	yes	characteristic
141	#11718539	C₂²	1	1	yes	characteristic
142	#11718538	C₂²	1	1	yes	characteristic
143	#11718538	C₂²	1	1	yes	characteristic
144	#11718537	C₂²	1	1	yes	characteristic
145	#11718536	C₂²	1	1	yes	characteristic
146	#11718534	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	#11718497	C₂²	1	1	yes	characteristic
151	#11718497	C₂²	1	1	yes	characteristic
152	#11718490	C₂²	1	1	yes	characteristic
153	#11718489	C₂²	1	1	yes	characteristic
154	#11718489	C₂²	1	1	yes	characteristic
155	#11718480	C₂²	1	1	yes	characteristic
156	#11718478	C₂²	1	1	yes	characteristic
157	#11718477	C₂²	1	1	yes	characteristic
158	#11718475	C₂²	1	1	yes	characteristic
159	#11718473	C₂²	1	1	yes	characteristic
160	#11718472	C₂²	1	1	yes	characteristic
161	#11718470	C₂²	1	1	yes	characteristic
162	#11718469	C₂²	1	1	yes	characteristic
163	#11718468	C₂²	1	1	yes	characteristic
164	#11718468	C₂²	1	1	yes	characteristic
165	#11718467	C₂²	1	1	yes	characteristic
166	#11718467	C₂²	1	1	yes	characteristic
167	#11718466	C₂²	1	1	yes	characteristic
168	#11718466	C₂²	1	1	yes	characteristic
169	#11718464	C₂²	1	1	yes	characteristic
170	#11718463	C₂²	1	1	yes	characteristic
171	D₁₃×#103	C₂²	1	1	yes	characteristic
172	D₁₃×#103	C₂²	1	1	yes	characteristic
173	#11718461	C₂²	1	1	yes	characteristic
174	#11718461	C₂²	1	1	yes	characteristic
175	#11718460	C₂²	1	1	yes	characteristic
176	#11718460	C₂²	1	1	yes	characteristic
177	#11718459	C₂²	1	1	yes	characteristic
178	#11718459	C₂²	1	1	yes	characteristic
179	#11718458	C₂²	1	1	yes	characteristic
180	#11718457	C₂²	1	1	yes	characteristic
181	#11718456	C₂²	1	1	yes	characteristic
182	#11718455	C₂²	1	1	yes	characteristic
183	#11718454	C₂²	1	1	yes	characteristic
184	#11718451	C₂²	1	1	yes	characteristic
185	#11718451	C₂²	1	1	yes	characteristic
186	#11718450	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	#11718390	C₂²	1	1	yes	characteristic
191	#11718390	C₂²	1	1	yes	characteristic
192	#11718389	C₂²	1	1	yes	characteristic
193	#11718389	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	C₄×#6094	C₂²	1	1	yes	characteristic
200	#11718346	C₂²	1	1	yes	characteristic
201	#11718346	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×#6131	—	2	1	no	—
205	C₂×#6131	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
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×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×#125	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×#117	—	2	1	no	—
232	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	—	2	1	no	—
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	#88201	—	2	1	no	—
237	#88201	C₂³	1	1	yes	characteristic
238	#88201	C₂³	1	1	yes	characteristic
239	#88201	C₂³	1	1	yes	characteristic
240	#88200	—	2	1	no	—
241	#88200	—	2	1	no	—
242	#88200	—	2	1	no	—
243	#88200	C₂³	1	1	yes	characteristic
244	#88200	C₂³	1	1	yes	characteristic
245	#88200	C₂³	1	1	yes	characteristic
246	#88200	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	—	2	1	no	—
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
250	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
251	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
252	#88198	—	2	1	no	—
253	#88198	—	2	1	no	—
254	#88198	C₂³	1	1	yes	characteristic
255	C₂×#6107	C₂³	1	1	yes	characteristic
256	C₂×#6107	C₂³	1	1	yes	characteristic
257	C₂×#6107	C₂³	1	1	yes	characteristic
258	C₂×#6107	C₂³	1	1	yes	characteristic
259	#88196	—	2	4	no	—
260	C₂×#6106	C₂³	1	1	yes	characteristic
261	C₂×#6106	C₂³	1	1	yes	characteristic
262	C₂×#6106	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	#88184	—	2	1	no	—
265	#88184	C₂³	1	1	yes	characteristic
266	#88183	—	2	1	no	—
267	#88183	—	2	1	no	—
268	#88183	—	2	1	no	—
269	C₄×C₂²⋊D₁₃	—	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	D₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
278	#88180	—	2	1	no	—
279	#88180	D₄	1	1	yes	characteristic
280	#88180	C₂³	1	1	yes	characteristic
281	#88178	—	2	1	no	—
282	#88178	C₂³	1	1	yes	characteristic
283	C₂×#6099	C₂³	1	1	yes	characteristic
284	C₂×#6099	C₂³	1	1	yes	characteristic
285	#88172	—	2	4	no	—
286	Q₁₆×D₁₃	—	2	4	no	—
287	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
288	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
289	C₂×#6095	C₂³	1	1	yes	characteristic
290	C₂×#6095	C₂³	1	1	yes	characteristic
291	C₂×#6094	C₂³	1	1	yes	characteristic
292	C₂×#6094	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
295	#88152	—	2	1	no	—
296	#88152	—	2	1	no	—
297	#88152	—	2	1	no	—
298	#88152	—	2	1	no	—
299	#88152	—	2	1	no	—
300	#88152	—	2	1	no	—
301	#88152	—	2	1	no	—
302	#88151	—	2	1	no	—
303	#88151	—	2	1	no	—
304	#88151	C₂³	1	1	yes	characteristic
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88150	—	2	1	no	—
308	#88150	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88149	—	2	1	no	—
313	#88149	C₂³	1	1	yes	characteristic
314	#88149	C₂³	1	1	yes	characteristic
315	#88149	C₂³	1	1	yes	characteristic
316	#88148	—	2	1	no	—
317	#88148	—	2	1	no	—
318	#88148	—	2	1	no	—
319	#88148	—	2	1	no	—
320	#88148	—	2	1	no	—
321	#88148	—	2	1	no	—
322	#88148	—	2	1	no	—
323	#88147	—	2	1	no	—
324	#88147	—	2	1	no	—
325	#88147	—	2	1	no	—
326	#88147	—	2	1	no	—
327	#88147	C₂³	1	1	yes	characteristic
328	#88146	—	2	1	no	—
329	#88146	—	2	1	no	—
330	#88146	—	2	1	no	—
331	#88146	—	2	1	no	—
332	#88146	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	—	2	1	no	—
334	C₄⋊C₄×D₁₃	—	2	1	no	—
335	C₄⋊C₄×D₁₃	—	2	1	no	—
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
339	#88144	—	2	1	no	—
340	#88144	C₂³	1	1	yes	characteristic
341	#88144	C₂³	1	1	yes	characteristic
342	#88144	C₂³	1	1	yes	characteristic
343	#88143	—	2	1	no	—
344	#88143	—	2	1	no	—
345	#88143	—	2	1	no	—
346	#88143	—	2	1	no	—
347	#88143	—	2	1	no	—
348	#88143	—	2	1	no	—
349	#88143	—	2	1	no	—
350	#88142	—	2	1	no	—
351	#88142	—	2	1	no	—
352	#88142	C₂³	1	1	yes	characteristic
353	#88141	—	2	1	no	—
354	#88141	—	2	1	no	—
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic
357	#88141	C₂³	1	1	yes	characteristic
358	#88141	C₂³	1	1	yes	characteristic
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88133	—	2	1	no	—
366	#88133	—	2	1	no	—
367	#88130	—	2	1	no	—
368	#88130	—	2	1	no	—
369	#88130	—	2	1	no	—
370	#88129	—	2	1	no	—
371	#88129	C₂³	1	1	yes	characteristic
372	C₄×D₅₂	—	2	1	no	—
373	C₄×D₅₂	—	2	1	no	—
374	C₄×D₅₂	—	2	1	no	—
375	C₄×D₅₂	—	2	1	no	—
376	C₄×D₅₂	—	2	1	no	—
377	C₄×D₅₂	D₄	1	1	yes	characteristic
378	C₄×D₅₂	C₂³	1	1	yes	characteristic
379	C₄×D₅₂	C₂³	1	1	yes	characteristic
380	C₄×D₅₂	C₂³	1	1	yes	characteristic
381	C₄×D₅₂	C₂³	1	1	yes	characteristic
382	#88126	—	2	1	no	—
383	#88126	—	2	1	no	—
384	#88126	—	2	1	no	—
385	#88126	—	2	1	no	—
386	#88126	—	2	1	no	—
387	#88126	—	2	1	no	—
388	#88126	—	2	1	no	—
389	#88126	—	2	1	no	—
390	#88126	D₄	1	1	yes	characteristic
391	#88126	D₄	1	1	yes	characteristic
392	C₄²×D₁₃	—	2	1	no	—
393	C₄²×D₁₃	—	2	1	no	—
394	C₄²×D₁₃	—	2	1	no	—
395	C₄²×D₁₃	—	2	1	no	—
396	C₄²×D₁₃	—	2	1	no	—
397	C₄²×D₁₃	C₂³	1	1	yes	characteristic
398	C₄²×D₁₃	C₂³	1	1	yes	characteristic
399	#88124	—	2	1	no	—
400	#88124	C₂³	1	1	yes	characteristic
401	C₄×Dic₂₆	—	2	1	no	—
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×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#107	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×#103	C₂³	1	1	yes	characteristic
422	C₁₃×#103	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	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	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	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	#88055	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	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	#88043	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61446	—	13	1	no	maximal, Sylow
482	C₂×Q₈×C₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	2	no	—
485	C₂×Q₈×C₁₃	—	4	1	no	—
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	—	2	1	no	—
491	C₂²×C₄×C₁₃	—	2	1	no	—
492	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₂²⋊D₁₃	—	2	1	no	—
496	C₂×C₂²⋊D₁₃	—	2	1	no	—
497	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
499	#6131	—	2	2	no	—
500	#6131	—	4	1	no	—
501	#6131	—	4	4	no	—
502	Q₈×D₁₃	—	2	2	no	—
503	Q₈×D₁₃	—	2	2	no	—
504	Q₈×D₁₃	—	2	2	no	—
505	Q₈×D₁₃	—	4	1	no	—
506	Q₈×D₁₃	—	4	1	no	—
507	Q₈×D₁₃	—	4	1	no	—
508	#6127	—	2	2	no	—
509	#6127	—	4	1	no	—
510	#6127	—	4	2	no	—
511	#6127	—	4	4	no	—
512	C₂×D₅₂	—	2	1	no	—
513	C₂×D₅₂	—	2	1	no	—
514	C₂×D₅₂	—	2	1	no	—
515	C₂×D₅₂	—	2	1	no	—
516	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
517	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
518	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
519	C₂×C₄×D₁₃	—	2	1	no	—
520	C₂×C₄×D₁₃	—	2	1	no	—
521	C₂×C₄×D₁₃	—	2	1	no	—
522	C₂×C₄×D₁₃	—	2	1	no	—
523	C₂×C₄×D₁₃	—	2	1	no	—
524	C₂×C₄×D₁₃	—	2	1	no	—
525	C₂×C₄×D₁₃	—	2	1	no	—
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×Dic₂₆	—	2	1	no	—
538	C₂×Dic₂₆	—	2	1	no	—
539	C₂×Dic₂₆	—	2	1	no	—
540	C₂×Dic₂₆	—	2	1	no	—
541	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
542	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
543	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
544	C₁₃×Q₁₆	—	2	2	no	—
545	C₁₃×Q₁₆	—	2	2	no	—
546	C₁₃×Q₁₆	—	4	1	no	—
547	C₁₃×Q₁₆	—	4	1	no	—
548	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	—	2	1	no	—
553	C₁₃×C₄⋊C₄	—	2	1	no	—
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
565	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
566	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
567	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
568	C₁₃×C₂²⋊C₄	—	2	1	no	—
569	C₁₃×C₂²⋊C₄	—	2	1	no	—
570	C₄²×C₁₃	—	2	1	no	—
571	C₄²×C₁₃	—	2	1	no	—
572	C₄²×C₁₃	—	2	1	no	—
573	C₄²×C₁₃	—	2	1	no	—
574	C₄²×C₁₃	—	2	1	no	—
575	C₄²×C₁₃	—	2	1	no	—
576	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
577	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
578	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²⋊Dic₁₃	—	2	1	no	—
581	C₂²⋊Dic₁₃	—	2	1	no	—
582	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
584	#6107	—	2	2	no	—
585	#6107	—	2	2	no	—
586	#6107	—	4	1	no	—
587	#6107	#41	1	4	yes	complemented
588	#6106	—	2	2	no	—
589	#6106	—	2	2	no	—
590	#6106	—	2	2	no	—
591	#6106	—	4	1	no	—
592	#6103	—	2	1	no	—
593	#6103	—	2	1	no	—
594	#6103	—	2	1	no	—
595	#6103	—	2	1	no	—
596	#6103	—	2	1	no	—
597	#6103	—	2	1	no	—
598	#6103	—	2	1	no	—
599	#6103	—	2	1	no	—
600	#6103	—	2	1	no	—
601	#6103	—	2	1	no	—
602	#6103	—	2	1	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	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	C₂×D₄	1	1	yes	characteristic
615	#6103	C₂×D₄	1	1	yes	characteristic
616	#6103	C₂×D₄	1	1	yes	characteristic
617	#6103	C₂×D₄	1	1	yes	characteristic
618	C₄⋊Dic₁₃	—	2	1	no	—
619	C₄⋊Dic₁₃	—	2	1	no	—
620	C₄⋊Dic₁₃	—	2	1	no	—
621	C₄⋊Dic₁₃	—	2	1	no	—
622	C₄⋊Dic₁₃	—	2	1	no	—
623	C₄⋊Dic₁₃	—	2	1	no	—
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
627	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
628	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
629	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
630	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
632	#6101	—	2	1	no	—
633	#6101	—	2	1	no	—
634	#6101	—	2	1	no	—
635	#6101	—	2	1	no	—
636	#6101	—	2	1	no	—
637	#6101	—	2	1	no	—
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	#6099	—	2	2	no	—
677	#6099	—	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	#6094	—	2	2	no	—
687	#6094	—	4	1	no	—
688	C₈×D₁₃	—	2	2	no	—
689	C₈×D₁₃	—	4	1	no	—
690	#3482	—	13	1	no	—
691	#3482	—	13	1	no	—
692	#3402	—	13	1	no	—
693	#3390	—	13	1	no	—
694	#3377	—	13	1	no	—
695	#3377	—	13	1	no	—
696	#3352	—	13	1	no	—
697	#3343	—	13	1	no	—
698	#3343	—	13	1	no	—
699	#3327	—	13	1	no	—
700	#3327	—	13	1	no	—
701	#3312	—	13	1	no	—
702	#3312	—	13	1	no	—
703	#3308	—	13	1	no	—
704	#3308	—	13	1	no	—
705	#3277	—	13	1	no	—
706	#3270	—	13	1	no	—
707	#3270	—	13	1	no	—
708	#3172	—	13	1	no	—
709	#3172	—	13	1	no	—
710	#3168	—	13	1	no	—
711	#3108	—	13	1	no	—
712	#3108	—	13	1	no	—
713	#3104	—	13	1	no	—
714	#3104	D₁₃	1	1	yes	characteristic, complemented
715	#3102	—	13	1	no	—
716	#3102	—	13	1	no	—
717	#2965	—	13	1	no	—
718	C₄×#137	—	13	1	no	—
719	C₄×#137	—	13	1	no	—
720	C₂×C₄×Q₁₆	—	13	1	no	—
721	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
722	C₂²×D₁₃	—	2	1	no	—
723	C₂²×D₁₃	—	2	1	no	—
724	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
725	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	4	2	no	—
734	Q₈×C₁₃	—	4	2	no	—
735	Q₈×C₁₃	C₂×#41	1	2	yes	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	2	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	1	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	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
756	C₂²⋊D₁₃	—	2	2	no	—
757	C₂²⋊D₁₃	—	4	1	no	—
758	C₂²⋊D₁₃	—	4	2	no	—
759	C₂²⋊D₁₃	—	4	2	no	—
760	C₂×Dic₁₃	—	2	1	no	—
761	C₂×Dic₁₃	—	2	1	no	—
762	C₂×Dic₁₃	—	2	1	no	—
763	C₂×Dic₁₃	—	2	1	no	—
764	C₂×Dic₁₃	—	2	1	no	—
765	C₂×Dic₁₃	—	2	1	no	—
766	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
772	D₅₂	—	2	2	no	—
773	D₅₂	—	2	1	no	—
774	D₅₂	—	2	1	no	—
775	D₅₂	—	2	1	no	—
776	D₅₂	—	2	1	no	—
777	D₅₂	—	4	2	no	—
778	D₅₂	—	4	2	no	—
779	D₅₂	—	4	2	no	—
780	D₅₂	—	4	2	no	—
781	C₄×D₁₃	—	2	2	no	—
782	C₄×D₁₃	—	2	2	no	—
783	C₄×D₁₃	—	2	2	no	—
784	C₄×D₁₃	—	2	1	no	—
785	C₄×D₁₃	—	2	1	no	—
786	C₄×D₁₃	—	2	1	no	—
787	C₄×D₁₃	—	2	1	no	—
788	C₄×D₁₃	—	4	1	no	—
789	C₄×D₁₃	—	4	2	no	—
790	C₄×D₁₃	—	4	2	no	—
791	C₄×D₁₃	—	4	2	no	—
792	C₄×D₁₃	—	4	2	no	—
793	C₄×D₁₃	—	4	2	no	—
794	C₄×D₁₃	—	4	2	no	—
795	C₄×D₁₃	—	4	2	no	—
796	C₄×D₁₃	—	4	2	no	—
797	C₄×D₁₃	—	4	2	no	—
798	C₄×D₁₃	—	4	2	no	—
799	C₄×D₁₃	—	4	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	Dic₂₆	—	2	1	no	—
802	Dic₂₆	—	2	1	no	—
803	Dic₂₆	—	2	1	no	—
804	Dic₂₆	—	4	1	no	—
805	Dic₂₆	—	4	2	no	—
806	Dic₂₆	—	4	2	no	—
807	Dic₂₆	—	4	2	no	—
808	Dic₂₆	—	4	2	no	—
809	Dic₂₆	C₂×#41	1	2	yes	—
810	C₈×C₁₃	—	2	1	no	—
811	C₈×C₁₃	—	2	1	no	—
812	C₈×C₁₃	—	2	1	no	—
813	C₈×C₁₃	—	2	1	no	—
814	#1055	—	2	1	no	—
815	#1055	—	2	1	no	—
816	#1055	—	2	1	no	—
817	#1055	C₂×#41	1	2	yes	—
818	C₂×#137	—	13	1	no	—
819	C₂×#137	—	13	1	no	—
820	C₂²×Q₁₆	—	13	1	no	—
821	#557	—	13	1	no	—
822	#557	—	13	1	no	—
823	#556	—	13	1	no	—
824	#556	—	13	1	no	—
825	#556	—	26	1	no	—
826	#556	—	26	1	no	—
827	#552	—	13	1	no	—
828	#552	—	13	1	no	—
829	#552	—	13	1	no	—
830	#552	—	13	1	no	—
831	#552	—	26	1	no	—
832	#552	—	26	1	no	—
833	#552	—	26	1	no	—
834	#552	—	26	1	no	—
835	D₄×Q₈	—	13	1	no	—
836	D₄×Q₈	—	13	1	no	—
837	#548	—	13	1	no	—
838	#548	—	13	1	no	—
839	#548	—	13	1	no	—
840	#548	—	13	1	no	—
841	#547	—	13	1	no	—
842	#547	—	13	1	no	—
843	#547	—	26	1	no	—
844	#547	—	26	1	no	—
845	#533	—	13	1	no	—
846	#533	—	26	1	no	—
847	#533	—	26	1	no	—
848	#533	C₂×D₁₃	1	1	yes	characteristic
849	#529	—	13	1	no	—
850	#529	—	13	1	no	—
851	#529	—	13	1	no	—
852	#529	—	13	1	no	—
853	#529	—	26	1	no	—
854	#529	—	26	1	no	—
855	#529	—	26	1	no	—
856	#529	—	26	1	no	—
857	C₄×#41	—	13	1	no	—
858	C₄×#41	—	13	1	no	—
859	C₄×#41	—	13	1	no	—
860	C₄×#41	—	26	1	no	—
861	C₄×#41	—	26	1	no	—
862	C₂×C₄×Q₈	—	13	1	no	—
863	C₂×C₄×Q₈	—	13	1	no	—
864	C₂×C₄×Q₈	—	13	1	no	—
865	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
866	#501	—	13	1	no	—
867	#501	—	13	1	no	—
868	#499	—	13	1	no	—
869	#497	—	13	1	no	—
870	#497	—	13	1	no	—
871	#495	—	13	1	no	—
872	#491	—	13	1	no	—
873	#491	—	13	1	no	—
874	#489	—	13	1	no	—
875	#489	—	13	1	no	—
876	#488	—	13	1	no	—
877	#488	—	13	1	no	—
878	#485	—	13	1	no	—
879	#485	—	13	1	no	—
880	#484	—	13	1	no	—
881	#484	—	13	1	no	—
882	#484	C₂×D₁₃	1	1	yes	characteristic
883	#484	C₂×D₁₃	1	1	yes	characteristic
884	#483	—	13	1	no	—
885	#483	—	13	1	no	—
886	#482	—	13	1	no	—
887	#482	—	13	1	no	—
888	#480	—	13	1	no	—
889	#480	—	13	1	no	—
890	#479	—	13	1	no	—
891	#479	—	13	1	no	—
892	#479	—	13	1	no	—
893	#479	—	13	1	no	—
894	#479	—	13	1	no	—
895	#479	—	13	1	no	—
896	#478	—	13	1	no	—
897	#478	—	13	1	no	—
898	#477	—	13	1	no	—
899	#477	—	13	1	no	—
900	#477	C₂×D₁₃	1	1	yes	characteristic
901	#477	C₂×D₁₃	1	1	yes	characteristic
902	#470	—	13	1	no	—
903	#470	—	13	1	no	—
904	#470	—	13	1	no	—
905	#470	—	13	1	no	—
906	#468	—	13	1	no	—
907	#468	—	13	1	no	—
908	#468	—	13	1	no	—
909	#468	—	13	1	no	—
910	#467	—	13	1	no	—
911	#466	—	13	1	no	—
912	#465	—	13	1	no	—
913	#465	—	13	1	no	—
914	#464	—	13	1	no	—
915	#464	—	13	1	no	—
916	#464	—	13	1	no	—
917	#464	—	13	1	no	—
918	#464	—	13	1	no	—
919	#464	—	13	1	no	—
920	#463	—	13	1	no	—
921	#463	—	13	1	no	—
922	#462	—	13	1	no	—
923	#462	—	13	1	no	—
924	#462	C₂×D₁₃	1	1	yes	characteristic
925	#462	C₂×D₁₃	1	1	yes	characteristic
926	#452	—	13	1	no	—
927	#452	—	13	1	no	—
928	#451	—	13	1	no	—
929	#451	—	13	1	no	—
930	#451	—	13	1	no	—
931	#451	—	13	1	no	—
932	#451	C₂×D₁₃	1	1	yes	characteristic
933	#451	C₂×D₁₃	1	1	yes	characteristic
934	#449	—	13	1	no	—
935	#449	—	13	1	no	—
936	#448	—	13	1	no	—
937	#448	—	13	1	no	—
938	#446	—	13	1	no	—
939	#446	—	13	1	no	—
940	#441	—	13	1	no	—
941	#441	—	13	1	no	—
942	#441	—	13	1	no	—
943	#441	—	13	1	no	—
944	#440	—	13	1	no	—
945	#440	—	13	1	no	—
946	#440	—	13	1	no	—
947	#440	—	13	1	no	—
948	C₄×Q₁₆	—	13	1	no	—
949	C₄×Q₁₆	—	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	C₂×D₁₃	1	1	yes	characteristic
958	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
959	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
960	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
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×D₈	—	13	1	no	—
968	#436	—	13	1	no	—
969	#436	—	13	1	no	—
970	#435	—	13	1	no	—
971	#435	—	13	1	no	—
972	#435	—	13	1	no	—
973	#435	—	13	1	no	—
974	#431	—	13	1	no	—
975	#431	—	13	1	no	—
976	#431	C₂×D₁₃	1	1	yes	characteristic
977	#428	—	13	1	no	—
978	#428	—	13	1	no	—
979	C₂×#107	—	13	1	no	—
980	#419	—	13	1	no	—
981	#419	—	13	1	no	—
982	#417	—	13	1	no	—
983	#417	—	13	1	no	—
984	C₂×#103	—	13	1	no	—
985	C₂×#103	—	13	1	no	—
986	C₄×M₁₆	—	13	1	no	—
987	C₄×M₁₆	—	13	1	no	—
988	C₂×C₄×C₈	—	13	1	no	—
989	C₂²×C₁₃	—	2	1	no	—
990	C₂²×C₁₃	—	2	1	no	—
991	C₂²×C₁₃	—	2	1	no	—
992	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
993	C₂×D₁₃	—	2	1	no	—
994	C₂×D₁₃	—	2	1	no	—
995	C₂×D₁₃	—	2	1	no	—
996	C₂×D₁₃	—	2	1	no	—
997	C₂×D₁₃	—	2	1	no	—
998	C₂×D₁₃	—	4	1	no	—
999	C₂×D₁₃	—	4	1	no	—
1000	C₂×D₁₃	—	4	1	no	—
1001	C₂×D₁₃	—	4	1	no	—
1002	C₂×D₁₃	—	4	1	no	—
1003	C₂×D₁₃	—	4	1	no	—
1004	C₂×D₁₃	#575	1	2	yes	—
1005	C₄×C₁₃	—	2	2	no	—
1006	C₄×C₁₃	—	2	1	no	—
1007	C₄×C₁₃	—	2	1	no	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	1	no	—
1010	C₄×C₁₃	—	4	1	no	—
1011	C₄×C₁₃	—	4	1	no	—
1012	C₄×C₁₃	—	4	1	no	—
1013	C₄×C₁₃	—	4	1	no	—
1014	C₄×C₁₃	—	4	1	no	—
1015	C₄×C₁₃	—	4	1	no	—
1016	C₄×C₁₃	—	4	1	no	—
1017	C₄×C₁₃	#578	1	2	yes	—
1018	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1019	C₄×C₁₃	#585	1	1	yes	characteristic
1020	Dic₁₃	—	2	2	no	—
1021	Dic₁₃	—	2	1	no	—
1022	Dic₁₃	—	2	1	no	—
1023	Dic₁₃	—	2	1	no	—
1024	Dic₁₃	—	2	1	no	—
1025	Dic₁₃	—	2	1	no	—
1026	Dic₁₃	—	2	1	no	—
1027	Dic₁₃	—	4	1	no	—
1028	Dic₁₃	—	4	1	no	—
1029	Dic₁₃	—	4	1	no	—
1030	Dic₁₃	—	4	1	no	—
1031	Dic₁₃	—	4	1	no	—
1032	C₂×#41	—	13	1	no	—
1033	C₂×#41	—	13	1	no	—
1034	C₂×#41	—	13	1	no	—
1035	C₂×#41	—	26	1	no	—
1036	C₂×#41	—	26	1	no	—
1037	C₂²×Q₈	—	13	1	no	—
1038	C₂²×Q₈	—	13	1	no	—
1039	C₂²×Q₈	—	13	1	no	—
1040	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1041	#137	—	26	4	no	—
1042	#137	—	26	4	no	—
1043	C₂×Q₁₆	—	13	1	no	—
1044	C₂×Q₁₆	—	13	1	no	—
1045	C₂×Q₁₆	—	13	1	no	—
1046	C₂×Q₁₆	—	13	1	no	—
1047	C₂×Q₁₆	—	13	1	no	—
1048	C₂×Q₁₆	—	26	4	no	—
1049	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×SD₁₆	—	13	1	no	—
1054	C₂×SD₁₆	—	13	1	no	—
1055	C₂×SD₁₆	—	13	1	no	—
1056	C₂×SD₁₆	—	13	1	no	—
1057	C₂×SD₁₆	—	13	1	no	—
1058	C₂×SD₁₆	—	13	1	no	—
1059	C₂×D₈	—	13	1	no	—
1060	C₂×M₁₆	—	13	1	no	—
1061	C₂×M₁₆	—	13	1	no	—
1062	C₂×M₁₆	—	13	1	no	—
1063	C₂×M₁₆	—	13	1	no	—
1064	C₂²×C₈	—	13	1	no	—
1065	C₂²×C₈	—	13	1	no	—
1066	C₄⋊Q₈	—	13	1	no	—
1067	C₄⋊Q₈	—	13	1	no	—
1068	C₄⋊Q₈	—	26	1	no	—
1069	C₄⋊Q₈	—	26	1	no	—
1070	C₄⋊Q₈	—	26	1	no	—
1071	C₄⋊Q₈	—	26	1	no	—
1072	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1074	#126	—	26	1	no	—
1075	#126	—	26	1	no	—
1076	#126	—	26	1	no	—
1077	#126	—	26	1	no	—
1078	#126	—	26	1	no	—
1079	#126	—	26	1	no	—
1080	#126	—	26	1	no	—
1081	#126	—	26	1	no	—
1082	#126	—	26	1	no	—
1083	#126	—	26	1	no	—
1084	#126	—	26	1	no	—
1085	#126	—	26	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	13	1	no	—
1088	#125	—	13	1	no	—
1089	#125	—	13	1	no	—
1090	#125	—	13	1	no	—
1091	#125	—	26	1	no	—
1092	#125	—	26	1	no	—
1093	#125	—	26	1	no	—
1094	#125	—	26	1	no	—
1095	#125	—	26	1	no	—
1096	#125	—	26	1	no	—
1097	#125	—	26	1	no	—
1098	#125	—	26	1	no	—
1099	#125	—	26	1	no	—
1100	#124	—	13	1	no	—
1101	#124	—	13	1	no	—
1102	#124	—	13	1	no	—
1103	#124	—	13	1	no	—
1104	#124	—	26	1	no	—
1105	#124	—	26	1	no	—
1106	#124	—	26	1	no	—
1107	#124	—	26	1	no	—
1108	#123	—	26	1	no	—
1109	#123	—	26	1	no	—
1110	#123	—	26	1	no	—
1111	#123	—	26	1	no	—
1112	#123	—	26	1	no	—
1113	#123	—	26	1	no	—
1114	#123	—	26	1	no	—
1115	#123	—	26	1	no	—
1116	#123	—	26	1	no	—
1117	#123	—	26	1	no	—
1118	#123	—	26	1	no	—
1119	#123	—	26	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	13	1	no	—
1122	C₂²⋊Q₈	—	13	1	no	—
1123	C₂²⋊Q₈	—	13	1	no	—
1124	C₂²⋊Q₈	—	13	1	no	—
1125	C₂²⋊Q₈	—	13	1	no	—
1126	C₂²⋊Q₈	—	13	1	no	—
1127	C₂²⋊Q₈	—	26	1	no	—
1128	C₂²⋊Q₈	—	26	1	no	—
1129	C₂²⋊Q₈	—	26	1	no	—
1130	C₂²⋊Q₈	—	26	1	no	—
1131	C₂²⋊Q₈	—	26	1	no	—
1132	C₂²⋊Q₈	—	26	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	26	1	no	—
1147	#121	—	26	1	no	—
1148	#121	—	26	1	no	—
1149	#121	—	26	1	no	—
1150	C₄×Q₈	—	2	1	no	—
1151	C₄×Q₈	—	2	1	no	—
1152	C₄×Q₈	—	2	1	no	—
1153	C₄×Q₈	—	13	1	no	—
1154	C₄×Q₈	—	13	1	no	—
1155	C₄×Q₈	—	13	1	no	—
1156	C₄×Q₈	—	13	1	no	—
1157	C₄×Q₈	—	13	1	no	—
1158	C₄×Q₈	—	13	1	no	—
1159	C₄×Q₈	—	13	1	no	—
1160	C₄×Q₈	—	13	1	no	—
1161	C₄×Q₈	—	13	1	no	—
1162	C₄×Q₈	—	13	1	no	—
1163	C₄×Q₈	—	13	1	no	—
1164	C₄×Q₈	—	13	1	no	—
1165	C₄×Q₈	—	26	1	no	—
1166	C₄×Q₈	—	26	1	no	—
1167	C₄×Q₈	—	26	1	no	—
1168	C₄×Q₈	—	26	1	no	—
1169	C₄×Q₈	—	26	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	—	26	1	no	—
1173	C₄×Q₈	—	26	1	no	—
1174	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	13	1	no	—
1183	C₄×D₄	—	13	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	26	1	no	—
1191	C₄×D₄	—	26	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	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	#117	—	2	1	no	—
1205	#117	—	13	1	no	—
1206	#117	—	13	1	no	—
1207	#117	—	13	1	no	—
1208	#117	—	13	1	no	—
1209	#117	—	13	1	no	—
1210	#117	—	26	1	no	—
1211	#117	—	26	1	no	—
1212	#117	—	26	1	no	—
1213	#117	—	26	1	no	—
1214	#117	—	26	1	no	—
1215	#117	—	26	1	no	—
1216	#117	—	26	1	no	—
1217	#117	—	26	1	no	—
1218	#117	—	26	1	no	—
1219	#117	—	26	1	no	—
1220	#117	—	26	1	no	—
1221	#117	—	26	1	no	—
1222	#117	—	26	1	no	—
1223	C₂×C₄⋊C₄	—	2	1	no	—
1224	C₂×C₄⋊C₄	—	13	1	no	—
1225	C₂×C₄⋊C₄	—	13	1	no	—
1226	C₂×C₄⋊C₄	—	13	1	no	—
1227	C₂×C₄⋊C₄	—	26	1	no	—
1228	C₂×C₄⋊C₄	—	26	1	no	—
1229	C₂×C₄⋊C₄	—	26	1	no	—
1230	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	—	13	1	no	—
1233	C₂×C₄²	—	13	1	no	—
1234	C₂×C₄²	—	26	1	no	—
1235	C₂×C₄²	—	26	1	no	—
1236	C₂×C₄²	—	26	1	no	—
1237	C₂×C₄²	—	26	1	no	—
1238	C₂×C₄²	—	26	1	no	—
1239	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1240	#107	—	13	1	no	—
1241	#107	—	13	1	no	—
1242	#107	—	13	1	no	—
1243	#107	—	13	1	no	—
1244	#107	—	13	1	no	—
1245	#107	—	13	1	no	—
1246	#107	C₂²×D₁₃	1	1	yes	characteristic
1247	#107	C₂²×D₁₃	1	1	yes	characteristic
1248	#107	C₂²×D₁₃	1	1	yes	characteristic
1249	#107	C₂²×D₁₃	1	1	yes	characteristic
1250	#106	—	13	1	no	—
1251	#106	—	13	1	no	—
1252	#106	—	13	1	no	—
1253	#106	—	13	1	no	—
1254	#106	—	13	1	no	—
1255	#106	—	13	1	no	—
1256	C₄⋊C₈	—	13	1	no	—
1257	C₄⋊C₈	—	13	1	no	—
1258	C₄⋊C₈	—	13	1	no	—
1259	C₄⋊C₈	—	13	1	no	—
1260	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1261	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1262	#103	—	13	1	no	—
1263	#103	—	13	1	no	—
1264	#103	—	13	1	no	—
1265	#103	—	13	1	no	—
1266	#103	—	13	1	no	—
1267	#103	—	13	1	no	—
1268	#103	—	13	1	no	—
1269	#103	—	13	1	no	—
1270	#103	—	13	1	no	—
1271	#103	—	13	1	no	—
1272	#103	—	13	1	no	—
1273	#103	—	13	1	no	—
1274	#103	—	13	1	no	—
1275	#103	—	13	1	no	—
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	C₂²×D₁₃	1	1	yes	characteristic
1279	#103	C₂²×D₁₃	1	1	yes	characteristic
1280	#103	C₂²×D₁₃	1	1	yes	characteristic
1281	#103	C₂²×D₁₃	1	1	yes	characteristic
1282	#103	C₂²×D₁₃	1	1	yes	characteristic
1283	#103	C₂²×D₁₃	1	1	yes	characteristic
1284	#103	C₂²×D₁₃	1	1	yes	characteristic
1285	#103	C₂²×D₁₃	1	1	yes	characteristic
1286	#102	—	13	1	no	—
1287	#102	—	13	1	no	—
1288	#102	—	13	1	no	—
1289	#102	—	13	1	no	—
1290	#102	—	13	1	no	—
1291	#102	—	13	1	no	—
1292	#102	—	13	1	no	—
1293	#102	—	13	1	no	—
1294	C₂²⋊C₈	—	13	1	no	—
1295	C₂²⋊C₈	—	13	1	no	—
1296	C₂²⋊C₈	—	13	1	no	—
1297	C₂²⋊C₈	—	13	1	no	—
1298	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1300	#97	—	13	1	no	—
1301	#97	—	13	1	no	—
1302	#97	—	13	1	no	—
1303	#97	—	13	1	no	—
1304	C₄×C₈	—	13	1	no	—
1305	C₄×C₈	—	13	1	no	—
1306	C₄×C₈	—	13	1	no	—
1307	C₄×C₈	—	13	1	no	—
1308	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1309	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂×C₁₃	—	4	1	no	—
1311	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1312	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1313	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1314	D₁₃	—	2	2	no	—
1315	D₁₃	—	4	1	no	—
1316	D₁₃	—	8	1	no	—
1317	D₁₃	—	8	1	no	—
1318	#41	—	26	2	no	—
1319	#41	—	26	2	no	—
1320	#41	—	52	1	no	—
1321	#41	—	52	2	no	—
1322	#41	—	52	4	no	—
1323	#41	—	52	1	no	—
1324	#41	—	52	4	no	—
1325	C₂×Q₈	—	2	1	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	2	no	—
1328	C₂×Q₈	—	4	1	no	—
1329	C₂×Q₈	—	13	1	no	—
1330	C₂×Q₈	—	13	1	no	—
1331	C₂×Q₈	—	13	1	no	—
1332	C₂×Q₈	—	26	1	no	—
1333	C₂×Q₈	—	26	1	no	—
1334	C₂×Q₈	—	26	1	no	—
1335	C₂×Q₈	—	26	1	no	—
1336	C₂×Q₈	—	26	2	no	—
1337	C₂×Q₈	—	26	2	no	—
1338	C₂×Q₈	—	26	2	no	—
1339	C₂×Q₈	—	52	1	no	—
1340	C₂×Q₈	—	52	1	no	—
1341	C₂×Q₈	—	52	1	no	—
1342	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1344	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1346	C₂×D₄	—	13	1	no	—
1347	C₂×D₄	—	13	1	no	—
1348	C₂×D₄	—	13	1	no	—
1349	C₂×D₄	—	13	1	no	—
1350	C₂×D₄	—	13	1	no	—
1351	C₂×D₄	—	26	1	no	—
1352	C₂×D₄	—	26	1	no	—
1353	C₂×D₄	—	26	1	no	—
1354	C₂×D₄	—	26	1	no	—
1355	C₂×D₄	—	26	1	no	—
1356	C₂×D₄	—	26	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	13	1	no	—
1360	C₂²×C₄	—	13	1	no	—
1361	C₂²×C₄	—	13	1	no	—
1362	C₂²×C₄	—	13	1	no	—
1363	C₂²×C₄	—	13	1	no	—
1364	C₂²×C₄	—	13	1	no	—
1365	C₂²×C₄	—	26	1	no	—
1366	C₂²×C₄	—	26	1	no	—
1367	C₂²×C₄	—	26	1	no	—
1368	C₂²×C₄	—	26	1	no	—
1369	C₂²×C₄	—	26	1	no	—
1370	C₂²×C₄	—	26	1	no	—
1371	C₂²×C₄	—	26	1	no	—
1372	C₂²×C₄	—	26	1	no	—
1373	C₂²×C₄	—	26	1	no	—
1374	C₂²×C₄	—	26	1	no	—
1375	C₂²×C₄	—	26	1	no	—
1376	C₂²×C₄	—	26	1	no	—
1377	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1378	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1379	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	2	2	no	—
1382	Q₁₆	—	4	1	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	13	4	no	—
1385	Q₁₆	—	26	2	no	—
1386	Q₁₆	—	26	2	no	—
1387	Q₁₆	—	26	2	no	—
1388	Q₁₆	—	52	1	no	—
1389	SD₁₆	—	26	2	no	—
1390	SD₁₆	—	26	2	no	—
1391	SD₁₆	—	26	2	no	—
1392	SD₁₆	—	26	2	no	—
1393	SD₁₆	—	52	1	no	—
1394	SD₁₆	—	52	1	no	—
1395	D₈	—	52	1	no	—
1396	M₁₆	—	26	2	no	—
1397	M₁₆	—	26	2	no	—
1398	M₁₆	—	52	1	no	—
1399	M₁₆	—	52	1	no	—
1400	C₂×C₈	—	13	1	no	—
1401	C₂×C₈	—	13	1	no	—
1402	C₂×C₈	—	13	1	no	—
1403	C₂×C₈	—	13	1	no	—
1404	C₂×C₈	—	26	2	no	—
1405	C₂×C₈	—	52	1	no	—
1406	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1407	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1408	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	13	1	no	—
1423	C₄⋊C₄	—	13	1	no	—
1424	C₄⋊C₄	—	13	1	no	—
1425	C₄⋊C₄	—	13	1	no	—
1426	C₄⋊C₄	—	13	1	no	—
1427	C₄⋊C₄	—	13	1	no	—
1428	C₄⋊C₄	—	13	1	no	—
1429	C₄⋊C₄	—	13	1	no	—
1430	C₄⋊C₄	—	13	1	no	—
1431	C₄⋊C₄	—	13	1	no	—
1432	C₄⋊C₄	—	26	1	no	—
1433	C₄⋊C₄	—	26	1	no	—
1434	C₄⋊C₄	—	26	1	no	—
1435	C₄⋊C₄	—	26	1	no	—
1436	C₄⋊C₄	—	26	1	no	—
1437	C₄⋊C₄	—	26	1	no	—
1438	C₄⋊C₄	—	26	1	no	—
1439	C₄⋊C₄	—	26	1	no	—
1440	C₄⋊C₄	—	26	1	no	—
1441	C₄⋊C₄	—	26	1	no	—
1442	C₄⋊C₄	—	26	1	no	—
1443	C₄⋊C₄	—	26	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	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	C₂³×D₁₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	13	1	no	—
1469	C₂²⋊C₄	—	13	1	no	—
1470	C₂²⋊C₄	—	13	1	no	—
1471	C₂²⋊C₄	—	13	1	no	—
1472	C₂²⋊C₄	—	13	1	no	—
1473	C₂²⋊C₄	—	13	1	no	—
1474	C₂²⋊C₄	—	26	1	no	—
1475	C₂²⋊C₄	—	26	1	no	—
1476	C₂²⋊C₄	—	26	1	no	—
1477	C₂²⋊C₄	—	26	1	no	—
1478	C₂²⋊C₄	—	26	1	no	—
1479	C₂²⋊C₄	—	26	1	no	—
1480	C₂²⋊C₄	—	26	1	no	—
1481	C₂²⋊C₄	—	26	1	no	—
1482	C₂²⋊C₄	—	26	1	no	—
1483	C₂²⋊C₄	—	26	1	no	—
1484	C₂²⋊C₄	—	26	1	no	—
1485	C₂²⋊C₄	—	26	1	no	—
1486	C₂²⋊C₄	—	26	1	no	—
1487	C₂²⋊C₄	—	26	1	no	—
1488	C₂²⋊C₄	—	26	1	no	—
1489	C₂²⋊C₄	—	26	1	no	—
1490	C₂²⋊C₄	—	26	1	no	—
1491	C₂²⋊C₄	—	26	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	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	13	1	no	—
1505	C₄²	—	13	1	no	—
1506	C₄²	—	13	1	no	—
1507	C₄²	—	13	1	no	—
1508	C₄²	—	13	1	no	—
1509	C₄²	—	13	1	no	—
1510	C₄²	—	26	1	no	—
1511	C₄²	—	26	1	no	—
1512	C₄²	—	26	1	no	—
1513	C₄²	—	26	1	no	—
1514	C₄²	—	26	1	no	—
1515	C₄²	—	26	1	no	—
1516	C₄²	—	26	1	no	—
1517	C₄²	—	26	1	no	—
1518	C₄²	—	26	1	no	—
1519	C₄²	—	26	1	no	—
1520	C₄²	—	26	1	no	—
1521	C₄²	—	26	1	no	—
1522	C₄²	D₄×D₁₃	1	1	yes	characteristic
1523	C₄²	D₄×D₁₃	1	1	yes	characteristic
1524	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1525	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1526	C₁₃	#61446	1	1	yes	characteristic, complemented, Sylow
1527	C₂³	—	13	1	no	—
1528	C₂³	—	13	1	no	—
1529	C₂³	—	26	1	no	—
1530	C₂³	—	26	1	no	—
1531	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	2	1	no	—
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	4	2	no	—
1540	Q₈	—	4	2	no	—
1541	Q₈	—	13	2	no	—
1542	Q₈	—	26	1	no	—
1543	Q₈	—	26	1	no	—
1544	Q₈	—	26	1	no	—
1545	Q₈	—	52	1	no	—
1546	Q₈	—	52	2	no	—
1547	Q₈	—	52	2	no	—
1548	Q₈	—	52	2	no	—
1549	Q₈	—	52	2	no	—
1550	Q₈	#41×D₁₃	1	2	yes	—
1551	D₄	—	26	2	no	—
1552	D₄	—	26	2	no	—
1553	D₄	—	26	1	no	—
1554	D₄	—	26	1	no	—
1555	D₄	—	26	1	no	—
1556	D₄	—	26	1	no	—
1557	D₄	—	52	2	no	—
1558	D₄	—	52	2	no	—
1559	D₄	—	52	2	no	—
1560	D₄	—	52	2	no	—
1561	D₄	—	52	1	no	—
1562	D₄	—	52	2	no	—
1563	D₄	—	52	2	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	2	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	2	no	—
1577	C₂×C₄	—	4	2	no	—
1578	C₂×C₄	—	13	1	no	—
1579	C₂×C₄	—	13	1	no	—
1580	C₂×C₄	—	13	1	no	—
1581	C₂×C₄	—	13	1	no	—
1582	C₂×C₄	—	13	1	no	—
1583	C₂×C₄	—	13	1	no	—
1584	C₂×C₄	—	26	2	no	—
1585	C₂×C₄	—	26	1	no	—
1586	C₂×C₄	—	26	2	no	—
1587	C₂×C₄	—	26	2	no	—
1588	C₂×C₄	—	26	1	no	—
1589	C₂×C₄	—	26	1	no	—
1590	C₂×C₄	—	26	1	no	—
1591	C₂×C₄	—	26	1	no	—
1592	C₂×C₄	—	26	1	no	—
1593	C₂×C₄	—	26	1	no	—
1594	C₂×C₄	—	26	1	no	—
1595	C₂×C₄	—	26	1	no	—
1596	C₂×C₄	—	26	1	no	—
1597	C₂×C₄	—	52	1	no	—
1598	C₂×C₄	—	52	2	no	—
1599	C₂×C₄	—	52	2	no	—
1600	C₂×C₄	—	52	2	no	—
1601	C₂×C₄	—	52	2	no	—
1602	C₂×C₄	—	52	2	no	—
1603	C₂×C₄	—	52	2	no	—
1604	C₂×C₄	—	52	2	no	—
1605	C₂×C₄	—	52	2	no	—
1606	C₂×C₄	—	52	2	no	—
1607	C₂×C₄	—	52	2	no	—
1608	C₂×C₄	—	52	2	no	—
1609	C₂×C₄	—	52	2	no	—
1610	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1613	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1614	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1615	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	13	2	no	—
1621	C₈	—	26	1	no	—
1622	C₈	—	26	1	no	—
1623	C₈	—	26	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	13	2	no	—
1628	C₂²	—	26	1	no	—
1629	C₂²	—	26	1	no	—
1630	C₂²	—	26	1	no	—
1631	C₂²	—	26	1	no	—
1632	C₂²	—	26	1	no	—
1633	C₂²	—	52	1	no	—
1634	C₂²	—	52	1	no	—
1635	C₂²	—	52	1	no	—
1636	C₂²	—	52	1	no	—
1637	C₂²	—	52	1	no	—
1638	C₂²	—	52	1	no	—
1639	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1640	C₄	—	2	1	no	—
1641	C₄	—	2	1	no	—
1642	C₄	—	2	1	no	—
1643	C₄	—	2	2	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	26	1	no	—
1653	C₄	—	26	1	no	—
1654	C₄	—	26	1	no	—
1655	C₄	—	26	1	no	—
1656	C₄	—	26	2	no	—
1657	C₄	—	26	1	no	—
1658	C₄	—	26	1	no	—
1659	C₄	—	52	1	no	—
1660	C₄	—	52	1	no	—
1661	C₄	—	52	1	no	—
1662	C₄	—	52	1	no	—
1663	C₄	—	52	1	no	—
1664	C₄	#11719471	1	2	yes	—
1665	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1666	C₄	#11719648	1	1	yes	characteristic
1667	C₂	—	4	1	no	—
1668	C₂	—	26	2	no	—
1669	C₂	—	52	1	no	—
1670	C₂	—	104	1	no	—
1671	C₂	—	104	1	no	—
1672	C₂	#13128319	1	1	yes	characteristic
1673	C₂	D₁₃×#575	1	1	yes	characteristic
1674	C₂	C₂×#11719471	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×#3104	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3104	D₁₃
hypocenter	C₁₃	#61446
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3104

Complements

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

N	H ≅ G/N	type
1. #13128454	C₂	semidirect
2. #13128453	C₂	semidirect
3. #13127910	C₂	semidirect
4. #13127798	C₂	semidirect
5. #13127685	C₂	semidirect
6. #13127671	C₂	semidirect
7. #13127411	C₂	semidirect
8. #13127279	C₂	semidirect
9. #13127273	C₂	semidirect
10. #13127108	C₂	semidirect
11. #13127107	C₂	semidirect
12. #13126894	C₂	semidirect
13. #13126880	C₂	semidirect
14. #13126830	C₂	semidirect
15. #13126824	C₂	semidirect
16. #13126493	C₂	semidirect
17. #13126412	C₂	semidirect
18. #13126409	C₂	semidirect
19. #13125440	C₂	semidirect
20. #13125436	C₂	semidirect
21. #13125409	C₂	semidirect
22. #13124920	C₂	semidirect
23. #13124920	C₂	semidirect
24. #13124873	C₂	semidirect
25. #13124860	C₂	semidirect
26. #13124856	C₂	semidirect
27. #13123800	C₂	semidirect
28. C₄×#88172	C₂	semidirect
29. C₄×#88196	C₂	semidirect
30. C₄×Q₁₆×D₁₃	C₂	semidirect
31. C₁₃×#3104	C₂	semidirect
587. #6107	#41	semidirect
714. #3104	D₁₃	semidirect
1526. C₁₃	#61446	semidirect

Maximal subgroups

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

subgroup	index
#13128454	2
#13128453	2
#13127910	2
#13127798	2
#13127685	2
#13127671	2
#13127411	2
#13127279	2
#13127273	2
#13127108	2
#13127107	2
#13126894	2
#13126880	2
#13126830	2
#13126824	2
#13126493	2
#13126412	2
#13126409	2
#13125440	2
#13125436	2
#13125409	2
#13124920	2
#13124873	2
#13124860	2
#13124856	2
#13123800	2
C₄×#88172	2
C₄×#88196	2
C₄×Q₁₆×D₁₃	2
C₁₃×#3104	2
#61446	13