Subgroups — #16744851

Order 3328.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128449	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#6127	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127859	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127752	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127568	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127549	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127283	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127274	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127178	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126861	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126854	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126834	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126825	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126699	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126530	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126337	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126335	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125551	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125535	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125532	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124983	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124972	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124959	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124956	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124933	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123845	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123647	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718679	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6127	—	2	1	no	—
33	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
36	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
37	C₂²×#6105	C₂²	1	1	yes	characteristic
38	#11719496	—	2	1	no	—
39	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×#88165	C₂²	1	1	yes	characteristic
41	#11719413	—	2	1	no	—
42	#11719407	—	2	1	no	—
43	#11719399	C₂²	1	1	yes	characteristic, complemented
44	#11719390	C₂²	1	1	yes	characteristic, complemented
45	#11719382	C₂²	1	1	yes	characteristic, complemented
46	#11719376	C₂²	1	1	yes	characteristic, complemented
47	#11719360	—	2	1	no	—
48	#11719355	—	2	1	no	—
49	#11719347	C₂²	1	1	yes	characteristic, complemented
50	#11719337	C₂²	1	1	yes	characteristic, complemented
51	#11719316	C₂²	1	1	yes	characteristic, complemented
52	#11719303	C₂²	1	1	yes	characteristic, complemented
53	#11719283	C₂²	1	1	yes	characteristic, complemented
54	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
55	#11719262	C₂²	1	1	yes	characteristic, complemented
56	#11719258	C₂²	1	1	yes	characteristic
57	#11719257	—	2	1	no	—
58	#11719256	C₂²	1	1	yes	characteristic
59	#11719255	—	2	1	no	—
60	D₄×D₅₂	C₂²	1	1	yes	characteristic
61	#11719253	C₂²	1	1	yes	characteristic
62	#11719253	C₂²	1	1	yes	characteristic
63	#11719252	—	2	1	no	—
64	#11719252	—	2	1	no	—
65	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
67	#11719243	—	2	1	no	—
68	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
69	C₄×#6129	—	2	1	no	—
70	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
71	#11719233	—	2	1	no	—
72	#11719222	—	2	1	no	—
73	#11719212	C₂²	1	1	yes	characteristic
74	#11719212	C₂²	1	1	yes	characteristic
75	#11719195	—	2	1	no	—
76	#11719195	—	2	1	no	—
77	#11719182	C₂²	1	1	yes	characteristic
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#478	C₂²	1	1	yes	characteristic
83	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#463	C₂²	1	1	yes	characteristic
85	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#450	C₂²	1	1	yes	characteristic
87	C₁₃×#447	C₂²	1	1	yes	characteristic
88	C₁₃×#442	C₂²	1	1	yes	characteristic
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#440	C₂²	1	1	yes	characteristic
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88072	C₂²	1	1	yes	characteristic
94	#11718836	C₂²	1	1	yes	characteristic, complemented
95	#11718835	C₂²	1	1	yes	characteristic, complemented
96	#11718831	C₂²	1	1	yes	characteristic, complemented
97	#11718830	C₂²	1	1	yes	characteristic
98	#11718825	C₂²	1	1	yes	characteristic
99	#11718824	C₂²	1	1	yes	characteristic, complemented
100	#11718823	C₂²	1	1	yes	characteristic
101	#11718819	C₂²	1	1	yes	characteristic, complemented
102	#11718818	C₂²	1	1	yes	characteristic, complemented
103	#11718817	C₂²	1	1	yes	characteristic
104	#11718815	C₂²	1	1	yes	characteristic, complemented
105	#11718814	C₂²	1	1	yes	characteristic
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
108	#11718728	C₂²	1	1	yes	characteristic, complemented
109	#11718726	C₂²	1	1	yes	characteristic, complemented
110	#11718719	C₂²	1	1	yes	characteristic, complemented
111	#11718716	C₂²	1	1	yes	characteristic, complemented
112	#11718709	C₂²	1	1	yes	characteristic, complemented
113	#11718709	C₂²	1	1	yes	characteristic, complemented
114	#11718699	C₂²	1	1	yes	characteristic, complemented
115	#11718699	C₂²	1	1	yes	characteristic, complemented
116	#11718687	C₂²	1	1	yes	characteristic, complemented
117	#11718687	C₂²	1	1	yes	characteristic, complemented
118	#11718679	C₂²	1	1	yes	characteristic
119	#11718679	C₂²	1	1	yes	characteristic
120	#11718679	C₂²	1	1	yes	characteristic
121	#11718679	C₂²	1	1	yes	characteristic
122	#11718679	C₂²	1	1	yes	characteristic, complemented
123	#11718679	C₂²	1	1	yes	characteristic, complemented
124	#11718679	C₂²	1	1	yes	characteristic, complemented
125	#11718679	C₂²	1	1	yes	characteristic, complemented
126	#11718675	C₂²	1	1	yes	characteristic, complemented
127	#11718675	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
129	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88043	C₂²	1	1	yes	characteristic, complemented
131	#11718551	C₂²	1	1	yes	characteristic, complemented
132	#11718550	C₂²	1	1	yes	characteristic, complemented
133	#11718547	C₂²	1	1	yes	characteristic, complemented
134	#11718545	C₂²	1	1	yes	characteristic, complemented
135	#11718543	C₂²	1	1	yes	characteristic, complemented
136	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
137	#11718536	C₂²	1	1	yes	characteristic, complemented
138	#11718535	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718527	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic, complemented
142	#11718523	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718517	C₂²	1	1	yes	characteristic, complemented
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718511	C₂²	1	1	yes	characteristic, complemented
148	#11718511	C₂²	1	1	yes	characteristic, complemented
149	#11718509	C₂²	1	1	yes	characteristic, complemented
150	#11718509	C₂²	1	1	yes	characteristic, complemented
151	#11718497	C₂²	1	1	yes	characteristic, complemented
152	#11718497	C₂²	1	1	yes	characteristic, complemented
153	#11718489	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic, complemented
156	#11718478	C₂²	1	1	yes	characteristic, complemented
157	#11718473	C₂²	1	1	yes	characteristic, complemented
158	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
161	#11718455	C₂²	1	1	yes	characteristic, complemented
162	#11718453	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718445	C₂²	1	1	yes	characteristic, complemented
165	#11718442	C₂²	1	1	yes	characteristic, complemented
166	#11718441	C₂²	1	1	yes	characteristic, complemented
167	#11718439	C₂²	1	1	yes	characteristic, complemented
168	#11718437	C₂²	1	1	yes	characteristic
169	#11718437	C₂²	1	1	yes	characteristic
170	#11718436	C₂²	1	1	yes	characteristic, complemented
171	#11718435	C₂²	1	1	yes	characteristic, complemented
172	#11718435	C₂²	1	1	yes	characteristic, complemented
173	#11718432	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	#11718427	C₂²	1	1	yes	characteristic
177	#11718426	C₂²	1	1	yes	characteristic, complemented
178	#11718425	C₂²	1	1	yes	characteristic, complemented
179	#11718423	C₂²	1	1	yes	characteristic, complemented
180	#11718423	C₂²	1	1	yes	characteristic, complemented
181	#11718421	C₂²	1	1	yes	characteristic, complemented
182	#11718420	C₂²	1	1	yes	characteristic
183	#11718420	C₂²	1	1	yes	characteristic, complemented
184	#11718419	C₂²	1	1	yes	characteristic
185	#11718418	C₂²	1	1	yes	characteristic
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718399	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718397	C₂²	1	1	yes	characteristic, complemented
190	#11718397	C₂²	1	1	yes	characteristic, complemented
191	#11718391	C₂²	1	1	yes	characteristic, complemented
192	#11718391	C₂²	1	1	yes	characteristic, complemented
193	#11718386	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic, complemented
195	#11718371	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718371	C₂²	1	1	yes	characteristic, complemented
198	#11718371	C₂²	1	1	yes	characteristic, complemented
199	#11718368	C₂²	1	1	yes	characteristic, complemented
200	#11718366	C₂²	1	1	yes	characteristic, complemented
201	#11718366	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×#6129	—	2	1	no	—
209	C₂×#6129	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6127	—	2	1	no	—
213	C₂×#6127	—	2	1	no	—
214	C₂×#6127	—	2	1	no	—
215	C₂×#6127	—	2	1	no	—
216	C₂×#6127	—	2	1	no	—
217	C₂×#6127	—	2	1	no	—
218	C₂×#6127	—	2	1	no	—
219	C₂×#6127	—	4	8	no	—
220	C₂×#6127	D₄	1	1	yes	characteristic
221	C₂²×D₅₂	—	2	1	no	—
222	C₂²×C₄×D₁₃	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂²×Dic₂₆	—	2	1	no	—
225	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₁₃×#126	—	2	1	no	—
231	C₁₃×#125	C₂³	1	1	yes	characteristic
232	C₁₃×#124	C₂³	1	1	yes	characteristic
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×#117	—	2	1	no	—
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
249	#88207	—	2	1	no	—
250	#88207	—	2	1	no	—
251	#88200	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	#88198	C₂³	1	1	yes	characteristic
254	C₂×#6106	C₂³	1	1	yes	characteristic
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	#88194	C₂³	1	1	yes	characteristic
257	#88194	C₂³	1	1	yes	characteristic
258	#88193	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88193	—	2	1	no	—
261	#88192	C₂³	1	1	yes	characteristic
262	#88192	C₂³	1	1	yes	characteristic
263	#88192	C₂³	1	1	yes	characteristic
264	#88191	—	2	1	no	—
265	#88191	—	2	1	no	—
266	#88190	C₂³	1	1	yes	characteristic
267	#88189	—	2	1	no	—
268	D₄×Dic₁₃	—	2	1	no	—
269	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×#6105	—	2	4	no	—
273	C₂×#6105	C₂³	1	1	yes	characteristic
274	C₂×#6105	C₂³	1	1	yes	characteristic
275	C₂×#6105	C₂³	1	1	yes	characteristic
276	C₂×#6105	C₂³	1	1	yes	characteristic
277	C₂×#6104	C₂³	1	1	yes	characteristic
278	C₂×#6104	C₂³	1	1	yes	characteristic
279	#88184	—	2	1	no	—
280	#88184	—	2	1	no	—
281	#88184	—	2	1	no	—
282	#88184	C₂³	1	1	yes	characteristic
283	#88184	C₂³	1	1	yes	characteristic
284	#88183	—	2	1	no	—
285	#88183	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	—	2	1	no	—
288	C₄×C₂²⋊D₁₃	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
293	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
295	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
296	#88180	—	2	1	no	—
297	#88180	D₄	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	#88178	—	2	1	no	—
300	#88178	—	2	1	no	—
301	C₂×#6101	—	2	1	no	—
302	C₂×C₄×Dic₁₃	—	2	1	no	—
303	C₂×C₄×Dic₁₃	—	2	1	no	—
304	C₂²×#1055	C₂³	1	1	yes	characteristic
305	C₂²×#1055	C₂³	1	1	yes	characteristic
306	SD₁₆×D₁₃	—	2	4	no	—
307	#88165	—	2	4	no	—
308	C₂×#6095	C₂³	1	1	yes	characteristic
309	C₂×#6095	C₂³	1	1	yes	characteristic
310	C₂×#6095	C₂³	1	1	yes	characteristic
311	C₂×#6095	C₂³	1	1	yes	characteristic
312	C₂×#6094	C₂³	1	1	yes	characteristic
313	C₂×#6094	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
316	#88152	—	2	1	no	—
317	#88152	—	2	1	no	—
318	#88151	C₂³	1	1	yes	characteristic
319	#88151	C₂³	1	1	yes	characteristic
320	#88150	—	2	1	no	—
321	#88150	—	2	1	no	—
322	#88150	—	2	1	no	—
323	#88150	—	2	1	no	—
324	#88149	C₂³	1	1	yes	characteristic
325	#88149	C₂³	1	1	yes	characteristic
326	#88148	—	2	1	no	—
327	#88148	—	2	1	no	—
328	#88148	—	2	1	no	—
329	#88147	C₂³	1	1	yes	characteristic
330	#88147	C₂³	1	1	yes	characteristic
331	#88146	—	2	1	no	—
332	#88146	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	—	2	1	no	—
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	#88144	—	2	1	no	—
338	#88144	—	2	1	no	—
339	#88144	C₂³	1	1	yes	characteristic
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88143	—	2	1	no	—
343	#88142	—	2	1	no	—
344	#88142	—	2	1	no	—
345	#88142	C₂³	1	1	yes	characteristic
346	#88142	C₂³	1	1	yes	characteristic
347	#88142	C₂³	1	1	yes	characteristic
348	#88141	—	2	1	no	—
349	#88141	—	2	1	no	—
350	#88141	C₂³	1	1	yes	characteristic
351	#88141	C₂³	1	1	yes	characteristic
352	#88140	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88139	—	2	1	no	—
356	#88139	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88137	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88137	—	2	1	no	—
366	#88136	—	2	1	no	—
367	#88136	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	#88135	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	#88133	—	2	1	no	—
376	#88133	—	2	1	no	—
377	#88133	—	2	1	no	—
378	#88132	—	2	1	no	—
379	#88132	—	2	1	no	—
380	#88132	—	2	1	no	—
381	#88132	—	2	1	no	—
382	#88132	—	2	1	no	—
383	#88132	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88131	—	2	1	no	—
386	#88131	—	2	1	no	—
387	#88131	—	2	1	no	—
388	#88129	—	2	1	no	—
389	#88128	C₂³	1	1	yes	characteristic
390	C₄×D₅₂	—	2	1	no	—
391	C₄×D₅₂	D₄	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	C₂³	1	1	yes	characteristic
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	#88126	—	2	1	no	—
396	#88126	D₄	1	1	yes	characteristic
397	#88126	D₄	1	1	yes	characteristic
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	C₂³	1	1	yes	characteristic
400	C₄²×D₁₃	C₂³	1	1	yes	characteristic
401	#88123	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	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#102	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×#102	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic
429	C₁₃×#97	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88072	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	#88072	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	#88061	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	#88060	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88058	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	#88056	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88055	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	#88054	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	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	#88050	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	#88049	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88047	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	#88047	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#88043	C₂³	1	1	yes	characteristic
482	#61452	—	13	1	no	maximal, Sylow
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×D₄×C₁₃	—	2	2	no	—
488	C₂×D₄×C₁₃	—	2	1	no	—
489	C₂×D₄×C₁₃	—	2	1	no	—
490	C₂×D₄×C₁₃	—	4	1	no	—
491	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	—	2	1	no	—
496	C₂²×C₄×C₁₃	—	2	1	no	—
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	4	4	no	—
501	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	4	4	no	—
517	C₂×C₂²⋊D₁₃	—	4	4	no	—
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	Q₈×D₁₃	—	2	2	no	—
527	Q₈×D₁₃	—	4	1	no	—
528	#6129	—	2	2	no	—
529	#6129	—	4	1	no	—
530	#6129	—	4	4	no	—
531	D₄×D₁₃	—	2	2	no	—
532	D₄×D₁₃	—	2	2	no	—
533	D₄×D₁₃	—	4	1	no	—
534	D₄×D₁₃	—	4	1	no	—
535	#6127	—	2	4	no	—
536	#6127	—	4	4	no	—
537	#6127	—	4	4	no	—
538	#6127	—	4	4	no	—
539	#6127	—	4	4	no	—
540	#6127	—	4	4	no	—
541	#6127	—	4	4	no	—
542	#6127	—	4	4	no	—
543	C₂×D₅₂	—	2	1	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	4	4	no	—
548	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
549	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
550	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	4	4	no	—
560	C₂×C₄×D₁₃	—	4	4	no	—
561	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₂₆	—	2	2	no	—
568	C₂×Dic₂₆	—	2	1	no	—
569	C₂×Dic₂₆	—	2	1	no	—
570	C₂×Dic₂₆	—	2	1	no	—
571	C₂×Dic₂₆	—	2	1	no	—
572	C₂×Dic₂₆	—	2	1	no	—
573	C₂×Dic₂₆	—	2	1	no	—
574	C₂×Dic₂₆	—	4	1	no	—
575	C₂×Dic₂₆	—	4	4	no	—
576	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
577	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
579	C₁₃×SD₁₆	—	2	2	no	—
580	C₁₃×SD₁₆	—	4	1	no	—
581	C₁₃×D₈	—	2	2	no	—
582	C₁₃×D₈	—	4	1	no	—
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₄²×C₁₃	—	2	1	no	—
606	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
620	#6106	—	2	2	no	—
621	#6106	—	4	1	no	—
622	#6105	—	2	2	no	—
623	#6105	—	2	2	no	—
624	#6105	—	2	2	no	—
625	#6105	#41	1	4	yes	complemented
626	#6104	—	2	2	no	—
627	#6104	—	4	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	C₂×D₄	1	1	yes	characteristic
641	#6103	C₂×D₄	1	1	yes	characteristic
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₁₃	—	2	1	no	—
645	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	—	2	2	no	—
691	C₂×#1055	—	4	1	no	—
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	C₂×#1055	C₂⁴	1	1	yes	characteristic
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	#6095	—	2	2	no	—
697	#6095	—	2	2	no	—
698	#6095	—	4	1	no	—
699	#6095	—	4	1	no	—
700	#6094	—	2	2	no	—
701	#6094	—	4	1	no	—
702	C₈×D₁₃	—	2	2	no	—
703	C₈×D₁₃	—	4	1	no	—
704	#3482	—	13	1	no	—
705	D₄×#41	—	13	1	no	—
706	#3397	—	13	1	no	—
707	#3386	—	13	1	no	—
708	#3368	—	13	1	no	—
709	#3367	—	13	1	no	—
710	#3343	—	13	1	no	—
711	#3343	—	13	1	no	—
712	#3334	—	13	1	no	—
713	#3310	—	13	1	no	—
714	#3310	—	13	1	no	—
715	#3308	—	13	1	no	—
716	#3308	—	13	1	no	—
717	#3298	—	13	1	no	—
718	#3294	—	13	1	no	—
719	D₄×SD₁₆	—	13	1	no	—
720	#3265	—	13	1	no	—
721	#3265	—	13	1	no	—
722	#3182	—	13	1	no	—
723	#3180	—	13	1	no	—
724	#3180	—	13	1	no	—
725	#3115	—	13	1	no	—
726	#3114	—	13	1	no	—
727	#3114	D₁₃	1	1	yes	characteristic, complemented
728	#3112	—	13	1	no	—
729	#3112	—	13	1	no	—
730	#3110	—	13	1	no	—
731	#2970	—	13	1	no	—
732	C₄×AGL(1,ℤ/8)	—	13	1	no	—
733	C₂×#440	—	13	1	no	—
734	C₂×#440	—	13	1	no	—
735	C₂³×C₁₃	—	2	1	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	—	2	1	no	—
738	C₂³×C₁₃	—	4	2	no	—
739	C₂³×C₁₃	—	4	2	no	—
740	C₂³×C₁₃	—	8	1	no	—
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂²×D₁₃	—	2	1	no	—
743	C₂²×D₁₃	—	2	1	no	—
744	C₂²×D₁₃	—	4	2	no	—
745	C₂²×D₁₃	—	4	2	no	—
746	C₂²×D₁₃	—	4	2	no	—
747	C₂²×D₁₃	—	4	2	no	—
748	C₂²×D₁₃	—	8	1	no	—
749	C₂²×D₁₃	—	8	1	no	—
750	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	D₄×C₁₃	—	2	1	no	—
755	D₄×C₁₃	—	2	1	no	—
756	D₄×C₁₃	—	2	1	no	—
757	D₄×C₁₃	—	2	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	4	2	no	—
760	D₄×C₁₃	—	4	2	no	—
761	D₄×C₁₃	C₂×#41	1	2	yes	—
762	C₂×C₄×C₁₃	—	2	2	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	4	1	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	4	2	no	—
773	C₂×C₄×C₁₃	—	4	2	no	—
774	C₂×C₄×C₁₃	—	4	2	no	—
775	C₂×C₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
783	C₂²⋊D₁₃	—	2	2	no	—
784	C₂²⋊D₁₃	—	4	2	no	—
785	C₂²⋊D₁₃	—	4	2	no	—
786	C₂²⋊D₁₃	—	4	2	no	—
787	C₂²⋊D₁₃	—	4	2	no	—
788	C₂²⋊D₁₃	—	4	2	no	—
789	C₂²⋊D₁₃	—	4	2	no	—
790	C₂²⋊D₁₃	—	4	2	no	—
791	C₂²⋊D₁₃	—	4	2	no	—
792	C₂²⋊D₁₃	—	4	2	no	—
793	C₂²⋊D₁₃	—	4	2	no	—
794	C₂²⋊D₁₃	—	8	1	no	—
795	C₂²⋊D₁₃	—	8	1	no	—
796	C₂²⋊D₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	4	2	no	—
804	C₂×Dic₁₃	—	4	2	no	—
805	C₂×Dic₁₃	—	4	2	no	—
806	C₂×Dic₁₃	—	4	2	no	—
807	C₂×Dic₁₃	—	4	2	no	—
808	C₂×Dic₁₃	—	4	2	no	—
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	D₅₂	—	2	2	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	4	2	no	—
821	D₅₂	—	4	2	no	—
822	D₅₂	—	4	2	no	—
823	D₅₂	—	8	1	no	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	1	no	—
828	C₄×D₁₃	—	2	1	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	4	1	no	—
831	C₄×D₁₃	—	4	1	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	4	2	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	4	2	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	4	2	no	—
840	Dic₂₆	—	2	1	no	—
841	Dic₂₆	—	2	2	no	—
842	Dic₂₆	—	2	1	no	—
843	Dic₂₆	—	2	1	no	—
844	Dic₂₆	—	4	2	no	—
845	Dic₂₆	—	4	2	no	—
846	Dic₂₆	—	4	2	no	—
847	Dic₂₆	—	4	2	no	—
848	Dic₂₆	—	4	2	no	—
849	Dic₂₆	—	4	2	no	—
850	Dic₂₆	C₂×#41	1	2	yes	complemented
851	C₈×C₁₃	—	2	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	#1055	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	C₂×#41	1	2	yes	complemented
859	C₂²×#41	—	26	1	no	—
860	C₂×AGL(1,ℤ/8)	—	13	1	no	—
861	C₂²×SD₁₆	—	13	1	no	—
862	C₂²×SD₁₆	—	13	1	no	—
863	#557	—	13	1	no	—
864	#556	—	13	1	no	—
865	#556	—	26	1	no	—
866	#552	—	13	1	no	—
867	#552	—	13	1	no	—
868	#552	—	26	1	no	—
869	#552	—	26	1	no	—
870	#550	—	13	1	no	—
871	D₄×Q₈	—	13	1	no	—
872	D₄×Q₈	—	13	1	no	—
873	#548	—	13	1	no	—
874	#548	—	13	1	no	—
875	#548	—	26	1	no	—
876	#547	—	13	1	no	—
877	#547	—	13	1	no	—
878	#547	—	13	1	no	—
879	#547	—	13	1	no	—
880	#547	—	26	1	no	—
881	#546	—	26	1	no	—
882	#546	—	26	1	no	—
883	#546	—	26	1	no	—
884	D₄²	—	13	1	no	—
885	D₄²	—	13	1	no	—
886	D₄²	—	13	1	no	—
887	#533	—	13	1	no	—
888	#533	—	26	1	no	—
889	#532	—	13	1	no	—
890	#532	—	13	1	no	—
891	#532	—	13	1	no	—
892	#529	—	13	1	no	—
893	#529	—	26	1	no	—
894	#529	—	26	1	no	—
895	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
896	#525	—	26	1	no	—
897	#525	—	26	1	no	—
898	#525	—	26	1	no	—
899	C₄×#41	—	13	1	no	—
900	C₄×#41	—	13	1	no	—
901	C₄×#41	—	26	1	no	—
902	C₂×C₄×Q₈	—	13	1	no	—
903	C₂×C₄×Q₈	—	13	1	no	—
904	C₂×C₄×D₄	—	13	1	no	—
905	C₂×C₄×D₄	—	13	1	no	—
906	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
907	#501	—	13	1	no	—
908	#501	—	13	1	no	—
909	#500	—	13	1	no	—
910	#496	—	13	1	no	—
911	#496	—	13	1	no	—
912	#492	—	13	1	no	—
913	#490	—	13	1	no	—
914	#490	—	13	1	no	—
915	#489	—	13	1	no	—
916	#489	—	13	1	no	—
917	#487	—	13	1	no	—
918	#486	—	13	1	no	—
919	#484	—	13	1	no	—
920	#484	—	13	1	no	—
921	#483	—	13	1	no	—
922	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#482	—	13	1	no	—
924	#482	—	13	1	no	—
925	#480	—	13	1	no	—
926	#480	—	13	1	no	—
927	#480	—	13	1	no	—
928	#480	—	13	1	no	—
929	#480	—	13	1	no	—
930	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#478	C₂×D₁₃	1	1	yes	characteristic
934	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#477	—	13	1	no	—
936	#477	—	13	1	no	—
937	#477	—	13	1	no	—
938	#477	—	13	1	no	—
939	#475	—	13	1	no	—
940	#474	—	13	1	no	—
941	#474	—	13	1	no	—
942	#474	—	13	1	no	—
943	#468	—	13	1	no	—
944	#468	—	13	1	no	—
945	#468	—	13	1	no	—
946	#468	—	13	1	no	—
947	#466	—	13	1	no	—
948	#466	—	13	1	no	—
949	#466	—	13	1	no	—
950	#466	—	13	1	no	—
951	#465	—	13	1	no	—
952	#465	—	13	1	no	—
953	#465	—	13	1	no	—
954	#465	—	13	1	no	—
955	#463	—	13	1	no	—
956	#463	—	13	1	no	—
957	#463	C₂×D₁₃	1	1	yes	characteristic
958	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#461	—	13	1	no	—
960	#461	—	13	1	no	—
961	#460	—	13	1	no	—
962	#460	—	13	1	no	—
963	#460	—	13	1	no	—
964	#460	—	13	1	no	—
965	#460	—	13	1	no	—
966	#459	—	13	1	no	—
967	#450	—	13	1	no	—
968	#450	—	13	1	no	—
969	#450	—	13	1	no	—
970	#450	C₂×D₁₃	1	1	yes	characteristic
971	#449	—	13	1	no	—
972	#449	—	13	1	no	—
973	#448	—	13	1	no	—
974	#448	—	13	1	no	—
975	#448	—	13	1	no	—
976	#448	—	13	1	no	—
977	#447	—	13	1	no	—
978	#447	C₂×D₁₃	1	1	yes	characteristic
979	#446	—	13	1	no	—
980	#446	—	13	1	no	—
981	#442	—	13	1	no	—
982	#442	—	13	1	no	—
983	#442	C₂×D₁₃	1	1	yes	characteristic
984	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#440	—	13	1	no	—
986	#440	—	13	1	no	—
987	#440	—	13	1	no	—
988	#440	—	13	1	no	—
989	#440	—	13	1	no	—
990	#440	—	13	1	no	—
991	#440	—	13	1	no	—
992	#440	—	13	1	no	—
993	#440	—	13	1	no	—
994	#440	—	13	1	no	—
995	#440	—	13	1	no	—
996	#440	—	13	1	no	—
997	#440	—	13	1	no	—
998	#440	—	13	1	no	—
999	#440	—	13	1	no	—
1000	#440	—	13	1	no	—
1001	#440	—	13	1	no	—
1002	#440	—	13	1	no	—
1003	#440	C₂×D₁₃	1	1	yes	characteristic
1004	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	C₄×SD₁₆	—	13	1	no	—
1006	C₄×SD₁₆	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	C₄×D₈	—	13	1	no	—
1009	#435	—	13	1	no	—
1010	#435	—	13	1	no	—
1011	#435	—	13	1	no	—
1012	#435	—	13	1	no	—
1013	C₈×D₄	—	13	1	no	—
1014	C₈×D₄	—	13	1	no	—
1015	#432	—	13	1	no	—
1016	#432	—	13	1	no	—
1017	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#428	—	13	1	no	—
1019	C₂×#107	—	13	1	no	—
1020	C₂×#107	—	13	1	no	—
1021	#418	—	13	1	no	—
1022	#417	—	13	1	no	—
1023	C₂×#103	—	13	1	no	—
1024	C₂×#103	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	C₂×#102	—	13	1	no	—
1027	C₄×M₁₆	—	13	1	no	—
1028	C₂×#97	—	13	1	no	—
1029	C₂×#97	—	13	1	no	—
1030	C₂²×C₁₃	—	2	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	2	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	8	4	no	—
1042	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1043	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1044	C₂×D₁₃	—	2	1	no	—
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	2	1	no	—
1047	C₂×D₁₃	—	2	1	no	—
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	4	1	no	—
1052	C₂×D₁₃	—	4	1	no	—
1053	C₂×D₁₃	—	4	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	8	4	no	—
1056	C₂×D₁₃	—	8	4	no	—
1057	C₂×D₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	2	1	no	—
1060	C₄×C₁₃	—	2	1	no	—
1061	C₄×C₁₃	—	2	1	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	—	4	1	no	—
1065	C₄×C₁₃	—	4	1	no	—
1066	C₄×C₁₃	—	4	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1069	C₄×C₁₃	#585	1	1	yes	characteristic
1070	Dic₁₃	—	2	1	no	—
1071	Dic₁₃	—	2	1	no	—
1072	Dic₁₃	—	2	2	no	—
1073	Dic₁₃	—	2	1	no	—
1074	Dic₁₃	—	2	1	no	—
1075	Dic₁₃	—	2	1	no	—
1076	Dic₁₃	—	4	1	no	—
1077	Dic₁₃	—	4	1	no	—
1078	Dic₁₃	—	4	1	no	—
1079	Dic₁₃	—	4	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1082	C₂×#41	—	13	1	no	—
1083	C₂×#41	—	13	1	no	—
1084	C₂×#41	—	26	1	no	—
1085	C₂×#41	—	26	1	no	—
1086	C₂×#41	—	26	1	no	—
1087	C₂×#41	—	26	1	no	—
1088	C₂×#41	—	26	1	no	—
1089	C₂×#41	—	26	1	no	—
1090	C₂×#41	—	26	1	no	—
1091	C₂×#41	—	26	1	no	—
1092	C₂×#41	—	52	8	no	—
1093	C₂²×Q₈	—	13	1	no	—
1094	C₂²×Q₈	—	13	1	no	—
1095	C₂²×Q₈	—	26	1	no	—
1096	C₂²×D₄	—	13	1	no	—
1097	C₂²×D₄	—	13	1	no	—
1098	C₂²×D₄	—	26	1	no	—
1099	C₂²×D₄	—	26	1	no	—
1100	C₂²×D₄	—	26	1	no	—
1101	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂³×C₄	—	2	1	no	—
1103	C₂³×C₄	—	26	1	no	—
1104	C₂³×C₄	—	26	1	no	—
1105	AGL(1,ℤ/8)	—	26	4	no	—
1106	C₂×SD₁₆	—	13	1	no	—
1107	C₂×SD₁₆	—	13	1	no	—
1108	C₂×SD₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	13	1	no	—
1112	C₂×SD₁₆	—	13	1	no	—
1113	C₂×SD₁₆	—	13	1	no	—
1114	C₂×SD₁₆	—	13	1	no	—
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	26	4	no	—
1117	C₂×SD₁₆	—	26	4	no	—
1118	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1120	C₂×D₈	—	13	1	no	—
1121	C₂×D₈	—	13	1	no	—
1122	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×M₁₆	—	13	1	no	—
1125	C₂×M₁₆	—	13	1	no	—
1126	C₂²×C₈	—	13	1	no	—
1127	C₂²×C₈	—	13	1	no	—
1128	C₂²×C₈	—	13	1	no	—
1129	C₂²×C₈	—	13	1	no	—
1130	C₄⋊Q₈	—	13	1	no	—
1131	C₄⋊Q₈	—	13	1	no	—
1132	C₄⋊Q₈	—	13	1	no	—
1133	C₄⋊Q₈	—	13	1	no	—
1134	C₄⋊Q₈	—	13	1	no	—
1135	C₄⋊Q₈	—	26	1	no	—
1136	C₄⋊Q₈	—	26	1	no	—
1137	#127	—	13	1	no	—
1138	#127	—	13	1	no	—
1139	#127	—	13	1	no	—
1140	#126	—	2	1	no	—
1141	#126	—	26	1	no	—
1142	#126	—	26	1	no	—
1143	#126	—	26	1	no	—
1144	#126	—	26	1	no	—
1145	#126	—	26	1	no	—
1146	#125	—	13	1	no	—
1147	#125	—	26	1	no	—
1148	#125	—	26	1	no	—
1149	#125	—	26	1	no	—
1150	#125	—	26	1	no	—
1151	#125	—	26	1	no	—
1152	#125	C₂²×D₁₃	1	1	yes	characteristic
1153	#124	—	13	1	no	—
1154	#124	—	26	1	no	—
1155	#124	—	26	1	no	—
1156	#124	—	26	1	no	—
1157	#124	—	26	1	no	—
1158	#124	—	26	1	no	—
1159	#124	C₂²×D₁₃	1	1	yes	characteristic
1160	#123	—	2	1	no	—
1161	#123	—	26	1	no	—
1162	#123	—	26	1	no	—
1163	#123	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	#123	—	26	1	no	—
1170	#123	—	26	1	no	—
1171	#123	—	26	1	no	—
1172	C₂²⋊Q₈	—	13	1	no	—
1173	C₂²⋊Q₈	—	13	1	no	—
1174	C₂²⋊Q₈	—	13	1	no	—
1175	C₂²⋊Q₈	—	26	1	no	—
1176	C₂²⋊Q₈	—	26	1	no	—
1177	C₂²⋊Q₈	—	26	1	no	—
1178	C₂²⋊Q₈	—	26	1	no	—
1179	C₂²⋊Q₈	—	26	1	no	—
1180	C₂²⋊Q₈	—	26	1	no	—
1181	C₂²⋊Q₈	—	26	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1189	#121	—	13	1	no	—
1190	#121	—	13	1	no	—
1191	#121	—	13	1	no	—
1192	#121	—	13	1	no	—
1193	#121	—	13	1	no	—
1194	#121	—	13	1	no	—
1195	#121	—	13	1	no	—
1196	#121	—	26	1	no	—
1197	#121	—	26	1	no	—
1198	#121	—	26	1	no	—
1199	#121	—	26	1	no	—
1200	#121	—	26	1	no	—
1201	#121	—	26	1	no	—
1202	#121	—	26	1	no	—
1203	#121	—	26	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	C₂²×D₁₃	1	1	yes	characteristic
1208	#120	—	26	1	no	—
1209	#120	—	26	1	no	—
1210	#120	—	26	1	no	—
1211	#120	—	26	1	no	—
1212	#120	—	26	1	no	—
1213	#120	—	26	1	no	—
1214	C₄×Q₈	—	13	1	no	—
1215	C₄×Q₈	—	13	1	no	—
1216	C₄×Q₈	—	13	1	no	—
1217	C₄×Q₈	—	13	1	no	—
1218	C₄×Q₈	—	13	1	no	—
1219	C₄×Q₈	—	13	1	no	—
1220	C₄×Q₈	—	13	1	no	—
1221	C₄×Q₈	—	13	1	no	—
1222	C₄×Q₈	—	13	1	no	—
1223	C₄×Q₈	—	26	1	no	—
1224	C₄×Q₈	—	26	1	no	—
1225	C₄×Q₈	—	26	1	no	—
1226	C₄×Q₈	—	26	1	no	—
1227	C₄×Q₈	—	26	1	no	—
1228	C₄×Q₈	—	26	1	no	—
1229	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	13	1	no	—
1234	C₄×D₄	—	13	1	no	—
1235	C₄×D₄	—	13	1	no	—
1236	C₄×D₄	—	13	1	no	—
1237	C₄×D₄	—	13	1	no	—
1238	C₄×D₄	—	13	1	no	—
1239	C₄×D₄	—	13	1	no	—
1240	C₄×D₄	—	13	1	no	—
1241	C₄×D₄	—	13	1	no	—
1242	C₄×D₄	—	13	1	no	—
1243	C₄×D₄	—	13	1	no	—
1244	C₄×D₄	—	13	1	no	—
1245	C₄×D₄	—	13	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	C₄×D₄	—	26	1	no	—
1259	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1260	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1261	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1262	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1263	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1264	#117	—	2	1	no	—
1265	#117	—	13	1	no	—
1266	#117	—	13	1	no	—
1267	#117	—	13	1	no	—
1268	#117	—	13	1	no	—
1269	#117	—	26	1	no	—
1270	#117	—	26	1	no	—
1271	#117	—	26	1	no	—
1272	#117	—	26	1	no	—
1273	#117	—	26	1	no	—
1274	#117	—	26	1	no	—
1275	C₂×C₄⋊C₄	—	13	1	no	—
1276	C₂×C₄⋊C₄	—	13	1	no	—
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	—	26	1	no	—
1280	C₂×C₄⋊C₄	—	26	1	no	—
1281	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	—	2	1	no	—
1283	C₂×C₂²⋊C₄	—	26	1	no	—
1284	C₂×C₂²⋊C₄	—	26	1	no	—
1285	C₂×C₄²	—	13	1	no	—
1286	C₂×C₄²	—	13	1	no	—
1287	C₂×C₄²	—	26	1	no	—
1288	C₂×C₄²	—	26	1	no	—
1289	C₂×C₄²	—	26	1	no	—
1290	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1291	#107	—	13	1	no	—
1292	#107	—	13	1	no	—
1293	#107	—	13	1	no	—
1294	#107	—	13	1	no	—
1295	#107	—	13	1	no	—
1296	#107	—	13	1	no	—
1297	#107	—	13	1	no	—
1298	#107	—	13	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	C₂²×D₁₃	1	1	yes	characteristic
1302	#107	C₂²×D₁₃	1	1	yes	characteristic
1303	#106	—	13	1	no	—
1304	#106	—	13	1	no	—
1305	#106	C₂²×D₁₃	1	1	yes	characteristic
1306	#106	C₂²×D₁₃	1	1	yes	characteristic
1307	C₄⋊C₈	—	13	1	no	—
1308	C₄⋊C₈	—	13	1	no	—
1309	C₄⋊C₈	—	13	1	no	—
1310	C₄⋊C₈	—	13	1	no	—
1311	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1312	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1313	#103	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	—	13	1	no	—
1318	#103	—	13	1	no	—
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	C₂²×D₁₃	1	1	yes	characteristic
1324	#103	C₂²×D₁₃	1	1	yes	characteristic
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	C₂²×D₁₃	1	1	yes	characteristic
1340	#102	C₂²×D₁₃	1	1	yes	characteristic
1341	#102	C₂²×D₁₃	1	1	yes	characteristic
1342	#102	C₂²×D₁₃	1	1	yes	characteristic
1343	#102	C₂²×D₁₃	1	1	yes	characteristic
1344	#102	C₂²×D₁₃	1	1	yes	characteristic
1345	C₂²⋊C₈	—	13	1	no	—
1346	C₂²⋊C₈	—	13	1	no	—
1347	C₂²⋊C₈	—	13	1	no	—
1348	C₂²⋊C₈	—	13	1	no	—
1349	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1350	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1351	#97	—	13	1	no	—
1352	#97	—	13	1	no	—
1353	#97	—	13	1	no	—
1354	#97	—	13	1	no	—
1355	#97	—	13	1	no	—
1356	#97	—	13	1	no	—
1357	#97	C₂²×D₁₃	1	1	yes	characteristic
1358	#97	C₂²×D₁₃	1	1	yes	characteristic
1359	C₄×C₈	—	13	1	no	—
1360	C₄×C₈	—	13	1	no	—
1361	C₂×C₁₃	—	2	2	no	—
1362	C₂×C₁₃	—	4	2	no	—
1363	C₂×C₁₃	—	8	1	no	—
1364	C₂×C₁₃	—	8	1	no	—
1365	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1366	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1367	C₂×C₁₃	#3586	1	1	yes	characteristic
1368	D₁₃	—	2	2	no	—
1369	D₁₃	—	4	1	no	—
1370	D₁₃	—	8	1	no	—
1371	D₁₃	—	8	1	no	—
1372	C₂⁴	—	2	1	no	—
1373	C₂⁴	—	26	1	no	—
1374	C₂⁴	—	26	1	no	—
1375	#41	—	26	4	no	—
1376	#41	—	26	2	no	—
1377	#41	—	52	4	no	—
1378	#41	—	52	4	no	—
1379	#41	—	52	4	no	—
1380	#41	—	52	4	no	—
1381	#41	—	52	4	no	—
1382	#41	—	52	4	no	—
1383	#41	—	52	4	no	—
1384	#41	—	52	1	no	—
1385	#41	—	52	4	no	—
1386	C₂×Q₈	—	13	1	no	—
1387	C₂×Q₈	—	13	1	no	—
1388	C₂×Q₈	—	13	1	no	—
1389	C₂×Q₈	—	26	1	no	—
1390	C₂×Q₈	—	26	1	no	—
1391	C₂×Q₈	—	26	1	no	—
1392	C₂×Q₈	—	26	1	no	—
1393	C₂×Q₈	—	26	2	no	—
1394	C₂×Q₈	—	26	1	no	—
1395	C₂×Q₈	—	26	1	no	—
1396	C₂×Q₈	—	26	2	no	—
1397	C₂×Q₈	—	52	1	no	—
1398	C₂×Q₈	—	52	4	no	—
1399	C₂×Q₈	—	52	1	no	—
1400	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂×D₄	—	2	2	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	13	1	no	—
1406	C₂×D₄	—	13	1	no	—
1407	C₂×D₄	—	13	1	no	—
1408	C₂×D₄	—	13	1	no	—
1409	C₂×D₄	—	13	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	1	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	2	no	—
1419	C₂×D₄	—	26	2	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	1	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	52	4	no	—
1429	C₂×D₄	—	52	1	no	—
1430	C₂×D₄	—	52	1	no	—
1431	C₂×D₄	—	52	4	no	—
1432	C₂×D₄	—	52	4	no	—
1433	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1434	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	4	4	no	—
1443	C₂²×C₄	—	13	1	no	—
1444	C₂²×C₄	—	13	1	no	—
1445	C₂²×C₄	—	13	1	no	—
1446	C₂²×C₄	—	13	1	no	—
1447	C₂²×C₄	—	13	1	no	—
1448	C₂²×C₄	—	13	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	52	4	no	—
1464	C₂²×C₄	—	52	4	no	—
1465	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1466	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1467	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	13	4	no	—
1471	SD₁₆	—	26	2	no	—
1472	SD₁₆	—	26	2	no	—
1473	SD₁₆	—	26	2	no	—
1474	SD₁₆	—	26	2	no	—
1475	SD₁₆	—	26	2	no	—
1476	SD₁₆	—	26	2	no	—
1477	SD₁₆	—	52	1	no	—
1478	SD₁₆	—	52	1	no	—
1479	SD₁₆	—	52	1	no	—
1480	D₈	—	2	2	no	—
1481	D₈	—	4	1	no	—
1482	D₈	—	26	2	no	—
1483	D₈	—	52	1	no	—
1484	M₁₆	—	26	2	no	—
1485	M₁₆	—	52	1	no	—
1486	C₂×C₈	—	13	1	no	—
1487	C₂×C₈	—	13	1	no	—
1488	C₂×C₈	—	13	1	no	—
1489	C₂×C₈	—	13	1	no	—
1490	C₂×C₈	—	26	2	no	—
1491	C₂×C₈	—	26	2	no	—
1492	C₂×C₈	—	52	1	no	—
1493	C₂×C₈	—	52	1	no	—
1494	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	13	1	no	—
1504	C₄⋊C₄	—	13	1	no	—
1505	C₄⋊C₄	—	13	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	13	1	no	—
1510	C₄⋊C₄	—	13	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	13	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	13	1	no	—
1549	C₂²⋊C₄	—	13	1	no	—
1550	C₂²⋊C₄	—	13	1	no	—
1551	C₂²⋊C₄	—	13	1	no	—
1552	C₂²⋊C₄	—	13	1	no	—
1553	C₂²⋊C₄	—	13	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₄²	—	2	1	no	—
1575	C₄²	—	13	1	no	—
1576	C₄²	—	13	1	no	—
1577	C₄²	—	13	1	no	—
1578	C₄²	—	13	1	no	—
1579	C₄²	—	13	1	no	—
1580	C₄²	—	13	1	no	—
1581	C₄²	—	26	1	no	—
1582	C₄²	—	26	1	no	—
1583	C₄²	—	26	1	no	—
1584	C₄²	—	26	1	no	—
1585	C₄²	—	26	1	no	—
1586	C₄²	—	26	1	no	—
1587	C₄²	—	26	1	no	—
1588	C₄²	—	26	1	no	—
1589	C₄²	D₄×D₁₃	1	1	yes	characteristic
1590	C₄²	D₄×D₁₃	1	1	yes	characteristic
1591	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1592	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1593	C₁₃	#61452	1	1	yes	characteristic, complemented, Sylow
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	4	2	no	—
1598	C₂³	—	4	2	no	—
1599	C₂³	—	8	1	no	—
1600	C₂³	—	13	1	no	—
1601	C₂³	—	13	1	no	—
1602	C₂³	—	26	1	no	—
1603	C₂³	—	26	1	no	—
1604	C₂³	—	52	2	no	—
1605	C₂³	—	52	2	no	—
1606	C₂³	—	52	2	no	—
1607	C₂³	—	52	2	no	—
1608	C₂³	—	104	1	no	—
1609	C₂³	—	104	1	no	—
1610	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	13	2	no	—
1614	Q₈	—	26	2	no	—
1615	Q₈	—	26	1	no	—
1616	Q₈	—	26	1	no	—
1617	Q₈	—	26	1	no	—
1618	Q₈	—	52	2	no	—
1619	Q₈	—	52	2	no	—
1620	Q₈	—	52	2	no	—
1621	Q₈	—	52	2	no	—
1622	Q₈	—	52	2	no	—
1623	Q₈	—	52	2	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	4	2	no	—
1630	D₄	—	4	2	no	—
1631	D₄	—	13	4	no	—
1632	D₄	—	26	2	no	—
1633	D₄	—	26	2	no	—
1634	D₄	—	26	1	no	—
1635	D₄	—	26	1	no	—
1636	D₄	—	26	1	no	—
1637	D₄	—	26	1	no	—
1638	D₄	—	52	2	no	—
1639	D₄	—	52	2	no	—
1640	D₄	—	52	2	no	—
1641	D₄	—	52	2	no	—
1642	D₄	—	52	2	no	—
1643	D₄	—	52	2	no	—
1644	D₄	—	52	2	no	—
1645	D₄	—	52	2	no	—
1646	D₄	—	52	2	no	—
1647	D₄	—	52	2	no	—
1648	D₄	—	52	2	no	—
1649	D₄	—	52	2	no	—
1650	D₄	—	52	2	no	—
1651	D₄	—	104	1	no	—
1652	D₄	—	104	1	no	—
1653	D₄	—	104	1	no	—
1654	D₄	#41×D₁₃	1	2	yes	—
1655	C₂×C₄	—	2	2	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	4	2	no	—
1665	C₂×C₄	—	4	2	no	—
1666	C₂×C₄	—	4	2	no	—
1667	C₂×C₄	—	4	2	no	—
1668	C₂×C₄	—	4	2	no	—
1669	C₂×C₄	—	4	2	no	—
1670	C₂×C₄	—	13	1	no	—
1671	C₂×C₄	—	13	1	no	—
1672	C₂×C₄	—	13	1	no	—
1673	C₂×C₄	—	13	1	no	—
1674	C₂×C₄	—	13	1	no	—
1675	C₂×C₄	—	13	1	no	—
1676	C₂×C₄	—	26	2	no	—
1677	C₂×C₄	—	26	2	no	—
1678	C₂×C₄	—	26	1	no	—
1679	C₂×C₄	—	26	1	no	—
1680	C₂×C₄	—	26	1	no	—
1681	C₂×C₄	—	26	1	no	—
1682	C₂×C₄	—	26	1	no	—
1683	C₂×C₄	—	26	1	no	—
1684	C₂×C₄	—	26	1	no	—
1685	C₂×C₄	—	26	1	no	—
1686	C₂×C₄	—	26	1	no	—
1687	C₂×C₄	—	26	1	no	—
1688	C₂×C₄	—	52	1	no	—
1689	C₂×C₄	—	52	1	no	—
1690	C₂×C₄	—	52	2	no	—
1691	C₂×C₄	—	52	2	no	—
1692	C₂×C₄	—	52	2	no	—
1693	C₂×C₄	—	52	2	no	—
1694	C₂×C₄	—	52	2	no	—
1695	C₂×C₄	—	52	2	no	—
1696	C₂×C₄	—	52	2	no	—
1697	C₂×C₄	—	52	2	no	—
1698	C₂×C₄	—	52	2	no	—
1699	C₂×C₄	—	52	2	no	—
1700	C₂×C₄	—	52	2	no	—
1701	C₂×C₄	—	52	2	no	—
1702	C₂×C₄	—	52	2	no	—
1703	C₂×C₄	—	52	2	no	—
1704	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1705	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1706	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1707	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1708	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1709	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	13	2	no	—
1715	C₈	—	26	1	no	—
1716	C₈	—	26	1	no	—
1717	C₈	—	26	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	2	2	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	8	4	no	—
1730	C₂²	—	13	2	no	—
1731	C₂²	—	26	1	no	—
1732	C₂²	—	26	1	no	—
1733	C₂²	—	26	1	no	—
1734	C₂²	—	26	1	no	—
1735	C₂²	—	26	1	no	—
1736	C₂²	—	52	1	no	—
1737	C₂²	—	52	1	no	—
1738	C₂²	—	52	1	no	—
1739	C₂²	—	52	1	no	—
1740	C₂²	—	52	1	no	—
1741	C₂²	—	52	1	no	—
1742	C₂²	—	104	4	no	—
1743	C₂²	—	104	4	no	—
1744	C₂²	D₁₃×AGL(1,ℤ/8)	1	2	yes	—
1745	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	13	2	no	—
1757	C₄	—	26	1	no	—
1758	C₄	—	26	1	no	—
1759	C₄	—	26	1	no	—
1760	C₄	—	26	2	no	—
1761	C₄	—	26	1	no	—
1762	C₄	—	26	1	no	—
1763	C₄	—	52	1	no	—
1764	C₄	—	52	1	no	—
1765	C₄	—	52	1	no	—
1766	C₄	—	52	1	no	—
1767	C₄	—	52	1	no	—
1768	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1769	C₄	#11719648	1	1	yes	characteristic
1770	C₂	—	2	2	no	—
1771	C₂	—	4	2	no	—
1772	C₂	—	8	1	no	—
1773	C₂	—	8	1	no	—
1774	C₂	—	26	2	no	—
1775	C₂	—	52	1	no	—
1776	C₂	—	104	1	no	—
1777	C₂	—	104	1	no	—
1778	C₂	#13128319	1	1	yes	characteristic
1779	C₂	C₂×D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1780	C₂	#13129620	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3114	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3114	D₁₃
hypocenter	C₁₃	#61452
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3114

Complements

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

N	H ≅ G/N	type
1. #13128449	C₂	semidirect
2. D₄×#6127	C₂	semidirect
3. #13127859	C₂	semidirect
4. #13127752	C₂	semidirect
5. #13127568	C₂	semidirect
6. #13127549	C₂	semidirect
7. #13127283	C₂	semidirect
8. #13127274	C₂	semidirect
9. #13127178	C₂	semidirect
10. #13126861	C₂	semidirect
11. #13126854	C₂	semidirect
12. #13126834	C₂	semidirect
13. #13126825	C₂	semidirect
14. #13126699	C₂	semidirect
15. #13126642	C₂	semidirect
16. #13126530	C₂	semidirect
17. #13126337	C₂	semidirect
18. #13126335	C₂	semidirect
19. #13125551	C₂	semidirect
20. #13125535	C₂	semidirect
21. #13125532	C₂	semidirect
22. #13124983	C₂	semidirect
23. #13124972	C₂	semidirect
24. #13124959	C₂	semidirect
25. #13124956	C₂	semidirect
26. #13124933	C₂	semidirect
27. #13123845	C₂	semidirect
28. #13123647	C₂	semidirect
29. C₂×#11718679	C₂	semidirect
30. D₁₃×#440	C₂	semidirect
31. C₁₃×#3114	C₂	semidirect
33. C₁₃×#529	C₂²	semidirect
43. #11719399	C₂²	semidirect
44. #11719390	C₂²	semidirect
45. #11719382	C₂²	semidirect
46. #11719376	C₂²	semidirect
49. #11719347	C₂²	semidirect
50. #11719337	C₂²	semidirect
51. #11719316	C₂²	semidirect
52. #11719303	C₂²	semidirect
53. #11719283	C₂²	semidirect
54. C₄×Q₈×D₁₃	C₂²	semidirect
55. #11719262	C₂²	semidirect
70. C₄×#6129	C₂²	semidirect
79. C₂×C₄×Dic₂₆	C₂²	semidirect
80. C₁₃×#483	C₂²	semidirect
81. C₁₃×#480	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#432	C₂²	semidirect
94. #11718836	C₂²	semidirect
95. #11718835	C₂²	semidirect
96. #11718831	C₂²	semidirect
99. #11718824	C₂²	semidirect
101. #11718819	C₂²	semidirect
102. #11718818	C₂²	semidirect
104. #11718815	C₂²	semidirect
106. #11718811	C₂²	semidirect
108. #11718728	C₂²	semidirect
109. #11718726	C₂²	semidirect
110. #11718719	C₂²	semidirect
111. #11718716	C₂²	semidirect
112. #11718709	C₂²	semidirect
113. #11718709	C₂²	semidirect
114. #11718699	C₂²	semidirect
115. #11718699	C₂²	semidirect
116. #11718687	C₂²	semidirect
117. #11718687	C₂²	semidirect
122. #11718679	C₂²	semidirect
123. #11718679	C₂²	semidirect
124. #11718679	C₂²	semidirect
125. #11718679	C₂²	semidirect
126. #11718675	C₂²	semidirect
127. #11718675	C₂²	semidirect
128. C₂×#88050	C₂²	semidirect
129. C₂×#88047	C₂²	semidirect
130. C₂×#88043	C₂²	semidirect
131. #11718551	C₂²	semidirect
132. #11718550	C₂²	semidirect
133. #11718547	C₂²	semidirect
134. #11718545	C₂²	semidirect
135. #11718543	C₂²	semidirect
136. D₁₃×#107	C₂²	semidirect
137. #11718536	C₂²	semidirect
138. #11718535	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718527	C₂²	semidirect
141. #11718525	C₂²	semidirect
142. #11718523	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718517	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718511	C₂²	semidirect
148. #11718511	C₂²	semidirect
149. #11718509	C₂²	semidirect
150. #11718509	C₂²	semidirect
151. #11718497	C₂²	semidirect
152. #11718497	C₂²	semidirect
153. #11718489	C₂²	semidirect
154. #11718489	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718478	C₂²	semidirect
157. #11718473	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718467	C₂²	semidirect
160. D₁₃×#103	C₂²	semidirect
161. #11718455	C₂²	semidirect
162. #11718453	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718445	C₂²	semidirect
165. #11718442	C₂²	semidirect
166. #11718441	C₂²	semidirect
167. #11718439	C₂²	semidirect
170. #11718436	C₂²	semidirect
171. #11718435	C₂²	semidirect
172. #11718435	C₂²	semidirect
173. #11718432	C₂²	semidirect
177. #11718426	C₂²	semidirect
178. #11718425	C₂²	semidirect
179. #11718423	C₂²	semidirect
180. #11718423	C₂²	semidirect
181. #11718421	C₂²	semidirect
183. #11718420	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718399	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718397	C₂²	semidirect
190. #11718397	C₂²	semidirect
191. #11718391	C₂²	semidirect
192. #11718391	C₂²	semidirect
193. #11718386	C₂²	semidirect
194. #11718386	C₂²	semidirect
195. #11718371	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718371	C₂²	semidirect
198. #11718371	C₂²	semidirect
199. #11718368	C₂²	semidirect
200. #11718366	C₂²	semidirect
201. #11718366	C₂²	semidirect
202. D₁₃×#97	C₂²	semidirect
625. #6105	#41	semidirect
727. #3114	D₁₃	semidirect
796. C₂²⋊D₁₃	AGL(1,ℤ/8)	semidirect
850. Dic₂₆	C₂×#41	semidirect
858. #1055	C₂×#41	semidirect
895. #529	C₂×D₁₃	semidirect
922. #483	C₂×D₁₃	semidirect
930. #480	C₂×D₁₃	semidirect
934. #478	C₂×D₁₃	semidirect
958. #463	C₂×D₁₃	semidirect
984. #442	C₂×D₁₃	semidirect
1004. #440	C₂×D₁₃	semidirect
1017. #432	C₂×D₁₃	semidirect
1593. C₁₃	#61452	semidirect

Maximal subgroups

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

subgroup	index
#13128449	2
D₄×#6127	2
#13127859	2
#13127752	2
#13127568	2
#13127549	2
#13127283	2
#13127274	2
#13127178	2
#13126861	2
#13126854	2
#13126834	2
#13126825	2
#13126699	2
#13126642	2
#13126530	2
#13126337	2
#13126335	2
#13125551	2
#13125535	2
#13125532	2
#13124983	2
#13124972	2
#13124959	2
#13124956	2
#13124933	2
#13123845	2
#13123647	2
C₂×#11718679	2
D₁₃×#440	2
C₁₃×#3114	2
#61452	13