Subgroups — #16745876

Order 3328.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128912	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128855	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127875	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127747	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127502	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127491	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127457	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127312	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127308	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126779	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126742	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126738	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126653	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126649	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126450	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126331	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125516	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125512	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125410	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125036	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125034	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125021	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125019	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124953	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124922	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123806	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123669	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123667	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×SD₁₆×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
34	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic
36	#11719539	C₂²	1	1	yes	characteristic, complemented
37	#11719532	C₂²	1	1	yes	characteristic, complemented
38	#11719522	C₂²	1	1	yes	characteristic, complemented
39	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
40	#11719511	—	2	1	no	—
41	C₂×#88193	—	2	1	no	—
42	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
44	#11719503	C₂²	1	1	yes	characteristic
45	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
46	C₂×#88168	C₂²	1	1	yes	characteristic
47	#11719424	C₂²	1	1	yes	characteristic
48	#11719423	C₂²	1	1	yes	characteristic
49	#11719387	—	2	1	no	—
50	#11719387	C₂²	1	1	yes	characteristic, complemented
51	#11719386	—	2	1	no	—
52	#11719386	C₂²	1	1	yes	characteristic, complemented
53	#11719348	—	2	1	no	—
54	#11719348	C₂²	1	1	yes	characteristic, complemented
55	#11719340	—	2	1	no	—
56	#11719340	C₂²	1	1	yes	characteristic, complemented
57	#11719324	C₂²	1	1	yes	characteristic
58	#11719323	C₂²	1	1	yes	characteristic
59	#11719322	—	2	1	no	—
60	#11719321	C₂²	1	1	yes	characteristic
61	#11719316	—	2	1	no	—
62	#11719316	C₂²	1	1	yes	characteristic, complemented
63	#11719306	—	2	1	no	—
64	#11719301	—	2	1	no	—
65	#11719301	C₂²	1	1	yes	characteristic
66	#11719301	C₂²	1	1	yes	characteristic, complemented
67	#11719298	—	2	1	no	—
68	#11719296	—	2	1	no	—
69	#11719296	—	2	1	no	—
70	#11719291	—	2	1	no	—
71	#11719279	C₂²	1	1	yes	characteristic, complemented
72	Q₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
73	#11719270	C₂²	1	1	yes	characteristic
74	#11719260	—	2	1	no	—
75	#11719260	C₂²	1	1	yes	characteristic, complemented
76	#11719250	C₂²	1	1	yes	characteristic
77	#11719244	C₂²	1	1	yes	characteristic
78	#11719243	—	2	1	no	—
79	#11719243	C₂²	1	1	yes	characteristic
80	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#463	C₂²	1	1	yes	characteristic
84	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#450	C₂²	1	1	yes	characteristic
86	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#447	C₂²	1	1	yes	characteristic
89	C₁₃×#440	C₂²	1	1	yes	characteristic
90	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
91	#11718899	C₂²	1	1	yes	characteristic, complemented
92	#11718894	C₂²	1	1	yes	characteristic, complemented
93	#11718888	C₂²	1	1	yes	characteristic, complemented
94	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic
96	#11718878	C₂²	1	1	yes	characteristic
97	C₂×#88072	C₂²	1	1	yes	characteristic
98	C₂×#88072	C₂²	1	1	yes	characteristic
99	#11718837	C₂²	1	1	yes	characteristic, complemented
100	#11718835	C₂²	1	1	yes	characteristic, complemented
101	#11718833	C₂²	1	1	yes	characteristic, complemented
102	#11718833	C₂²	1	1	yes	characteristic, complemented
103	#11718832	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic
105	#11718826	C₂²	1	1	yes	characteristic
106	#11718826	C₂²	1	1	yes	characteristic, complemented
107	#11718825	C₂²	1	1	yes	characteristic
108	#11718825	C₂²	1	1	yes	characteristic, complemented
109	#11718825	C₂²	1	1	yes	characteristic, complemented
110	#11718824	C₂²	1	1	yes	characteristic, complemented
111	#11718824	C₂²	1	1	yes	characteristic, complemented
112	#11718824	C₂²	1	1	yes	characteristic, complemented
113	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
114	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
115	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
116	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
117	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
118	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
119	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
120	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
121	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
122	#11718820	C₂²	1	1	yes	characteristic, complemented
123	#11718818	C₂²	1	1	yes	characteristic, complemented
124	#11718817	C₂²	1	1	yes	characteristic
125	#11718813	C₂²	1	1	yes	characteristic
126	#11718813	C₂²	1	1	yes	characteristic, complemented
127	#11718813	C₂²	1	1	yes	characteristic, complemented
128	#11718812	C₂²	1	1	yes	characteristic, complemented
129	#11718811	C₂²	1	1	yes	characteristic
130	#11718811	C₂²	1	1	yes	characteristic, complemented
131	#11718811	C₂²	1	1	yes	characteristic, complemented
132	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718796	C₂²	1	1	yes	characteristic, complemented
135	#11718789	C₂²	1	1	yes	characteristic, complemented
136	#11718783	C₂²	1	1	yes	characteristic, complemented
137	#11718782	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	#11718772	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88057	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
142	#11718733	C₂²	1	1	yes	characteristic, complemented
143	#11718731	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718717	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic, complemented
147	#11718706	C₂²	1	1	yes	characteristic, complemented
148	#11718699	C₂²	1	1	yes	characteristic, complemented
149	#11718699	C₂²	1	1	yes	characteristic, complemented
150	#11718699	C₂²	1	1	yes	characteristic, complemented
151	#11718695	C₂²	1	1	yes	characteristic, complemented
152	#11718694	C₂²	1	1	yes	characteristic, complemented
153	#11718694	C₂²	1	1	yes	characteristic, complemented
154	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
155	#11718683	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6104	C₂²	1	1	yes	characteristic
157	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
158	#11718668	C₂²	1	1	yes	characteristic
159	#11718542	C₂²	1	1	yes	characteristic, complemented
160	#11718537	C₂²	1	1	yes	characteristic, complemented
161	#11718535	C₂²	1	1	yes	characteristic, complemented
162	#11718533	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718503	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718491	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic, complemented
168	#11718478	C₂²	1	1	yes	characteristic, complemented
169	#11718476	C₂²	1	1	yes	characteristic, complemented
170	#11718465	C₂²	1	1	yes	characteristic, complemented
171	#11718461	C₂²	1	1	yes	characteristic, complemented
172	#11718460	C₂²	1	1	yes	characteristic, complemented
173	#11718455	C₂²	1	1	yes	characteristic, complemented
174	#11718455	C₂²	1	1	yes	characteristic, complemented
175	#11718446	C₂²	1	1	yes	characteristic
176	#11718446	C₂²	1	1	yes	characteristic, complemented
177	#11718440	C₂²	1	1	yes	characteristic, complemented
178	#11718438	C₂²	1	1	yes	characteristic, complemented
179	#11718435	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#102	C₂²	1	1	yes	characteristic
181	#11718424	C₂²	1	1	yes	characteristic, complemented
182	#11718422	C₂²	1	1	yes	characteristic
183	#11718422	C₂²	1	1	yes	characteristic, complemented
184	#11718422	C₂²	1	1	yes	characteristic, complemented
185	#11718421	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718421	C₂²	1	1	yes	characteristic, complemented
188	#11718420	C₂²	1	1	yes	characteristic
189	#11718417	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718396	C₂²	1	1	yes	characteristic, complemented
194	#11718396	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	#11718381	C₂²	1	1	yes	characteristic, complemented
198	#11718380	C₂²	1	1	yes	characteristic, complemented
199	#11718372	C₂²	1	1	yes	characteristic, complemented
200	#11718369	C₂²	1	1	yes	characteristic, complemented
201	#11718363	C₂²	1	1	yes	characteristic, complemented
202	#11718362	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	—	2	1	no	—
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂³×Dic₁₃	—	2	1	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6129	—	2	1	no	—
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
219	C₂×C₁₃×SD₁₆	—	2	4	no	—
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×#127	C₂³	1	1	yes	characteristic
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊Q₈	—	2	1	no	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#120	—	2	1	no	—
242	C₁₃×#120	—	2	1	no	—
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	#88207	—	2	1	no	—
248	#88207	—	2	1	no	—
249	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
250	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
251	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
252	#88201	—	2	1	no	—
253	#88201	C₂³	1	1	yes	characteristic
254	#88200	—	2	1	no	—
255	#88200	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₃	—	2	1	no	—
257	Q₈×Dic₁₃	—	2	1	no	—
258	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
259	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	#88194	—	2	1	no	—
266	#88194	C₂³	1	1	yes	characteristic
267	#88194	C₂³	1	1	yes	characteristic
268	#88194	C₂³	1	1	yes	characteristic
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	D₄	1	1	yes	characteristic
282	#88192	—	2	1	no	—
283	#88192	—	2	1	no	—
284	#88192	—	2	1	no	—
285	#88192	C₂³	1	1	yes	characteristic
286	#88192	C₂³	1	1	yes	characteristic
287	#88192	C₂³	1	1	yes	characteristic
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88190	—	2	1	no	—
291	#88189	—	2	1	no	—
292	#88189	—	2	1	no	—
293	#88189	—	2	1	no	—
294	#88189	D₄	1	1	yes	characteristic
295	D₄×Dic₁₃	—	2	1	no	—
296	D₄×Dic₁₃	—	2	1	no	—
297	D₄×Dic₁₃	—	2	1	no	—
298	D₄×Dic₁₃	—	2	1	no	—
299	D₄×Dic₁₃	—	2	1	no	—
300	D₄×Dic₁₃	—	2	1	no	—
301	D₄×Dic₁₃	—	2	1	no	—
302	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×#6104	C₂³	1	1	yes	characteristic
312	C₂×#6104	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	#88184	—	2	1	no	—
316	#88184	—	2	1	no	—
317	#88184	C₂³	1	1	yes	characteristic
318	#88184	C₂³	1	1	yes	characteristic
319	#88184	C₂³	1	1	yes	characteristic
320	#88184	C₂³	1	1	yes	characteristic
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
326	C₂×#6103	—	2	1	no	—
327	#88180	—	2	1	no	—
328	#88180	C₂³	1	1	yes	characteristic
329	#88180	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₁₃	—	2	1	no	—
331	C₂×C₄⋊Dic₁₃	—	2	1	no	—
332	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
335	#88178	—	2	1	no	—
336	C₂×#6101	—	2	1	no	—
337	C₂×C₄×Dic₁₃	—	2	1	no	—
338	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
339	C₂²×#1055	C₂³	1	1	yes	characteristic
340	C₂²×#1055	C₂³	1	1	yes	characteristic
341	#88168	—	2	4	no	—
342	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
343	C₂×#6094	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
345	#88152	—	2	1	no	—
346	#88152	—	2	1	no	—
347	#88152	D₄	1	1	yes	characteristic
348	#88151	—	2	1	no	—
349	#88151	—	2	1	no	—
350	#88151	—	2	1	no	—
351	#88147	—	2	1	no	—
352	#88147	C₂³	1	1	yes	characteristic
353	#88147	C₂³	1	1	yes	characteristic
354	#88146	C₂³	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	—	2	1	no	—
356	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
357	#88144	C₂³	1	1	yes	characteristic
358	#88143	—	2	1	no	—
359	#88143	D₄	1	1	yes	characteristic
360	#88142	—	2	1	no	—
361	#88142	—	2	1	no	—
362	#88142	C₂³	1	1	yes	characteristic
363	#88142	C₂³	1	1	yes	characteristic
364	#88142	C₂³	1	1	yes	characteristic
365	#88140	—	2	1	no	—
366	#88140	—	2	1	no	—
367	#88140	—	2	1	no	—
368	#88140	—	2	1	no	—
369	#88140	—	2	1	no	—
370	#88140	—	2	1	no	—
371	#88140	D₄	1	1	yes	characteristic
372	#88139	—	2	1	no	—
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	D₄	1	1	yes	characteristic
379	#88137	—	2	1	no	—
380	#88137	—	2	1	no	—
381	#88137	—	2	1	no	—
382	#88137	—	2	1	no	—
383	#88137	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88133	D₄	1	1	yes	characteristic
394	#88132	—	2	1	no	—
395	#88132	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	D₄	1	1	yes	characteristic
400	#88131	—	2	1	no	—
401	C₄×D₅₂	—	2	1	no	—
402	C₄×D₅₂	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	C₂³	1	1	yes	characteristic
404	#88126	—	2	1	no	—
405	#88126	C₂³	1	1	yes	characteristic
406	#88124	C₂³	1	1	yes	characteristic
407	#88123	—	2	1	no	—
408	#88123	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	—	2	1	no	—
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₁₃×#103	C₂³	1	1	yes	characteristic
414	C₁₃×#103	C₂³	1	1	yes	characteristic
415	C₁₃×#102	C₂³	1	1	yes	characteristic
416	C₁₃×#102	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×#97	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88075	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	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	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	C₂²⋊#1055	C₂³	1	1	yes	characteristic
441	C₂²⋊#1055	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88061	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88058	C₂³	1	1	yes	characteristic
453	#88057	C₂³	1	1	yes	characteristic
454	#88057	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88057	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88055	C₂³	1	1	yes	characteristic
460	#88055	C₂³	1	1	yes	characteristic
461	#88055	C₂³	1	1	yes	characteristic
462	#88054	C₂³	1	1	yes	characteristic
463	#88054	C₂³	1	1	yes	characteristic
464	#88054	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	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	#88047	C₂³	1	1	yes	characteristic
479	C₄⋊#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61498	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₁₃×#41	—	2	2	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	2	no	—
489	C₂×Q₈×C₁₃	—	4	1	no	—
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	—	2	2	no	—
493	C₂×D₄×C₁₃	—	2	2	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	4	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	—	8	2	no	—
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	8	2	no	—
530	C₂×C₂²⋊D₁₃	—	8	2	no	—
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	—	2	1	no	—
542	C₂²×Dic₁₃	—	2	1	no	—
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	8	2	no	—
546	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
548	#6131	—	2	2	no	—
549	#6131	—	4	1	no	—
550	#6129	—	8	2	no	—
551	#6129	—	8	2	no	—
552	#6129	—	8	2	no	—
553	#6129	—	8	2	no	—
554	#6129	—	8	2	no	—
555	D₄×D₁₃	—	2	2	no	—
556	D₄×D₁₃	—	4	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	—	2	1	no	—
569	C₂×Dic₂₆	—	2	1	no	—
570	C₂×Dic₂₆	—	2	1	no	—
571	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
572	C₁₃×SD₁₆	—	2	2	no	—
573	C₁₃×SD₁₆	—	2	2	no	—
574	C₁₃×SD₁₆	—	2	2	no	—
575	C₁₃×SD₁₆	—	2	2	no	—
576	C₁₃×SD₁₆	—	4	1	no	—
577	C₁₃×SD₁₆	#41	1	4	yes	complemented
578	C₁₃×D₈	—	2	2	no	—
579	C₁₃×D₈	—	2	2	no	—
580	C₁₃×D₈	—	4	1	no	—
581	C₁₃×M₁₆	—	2	2	no	—
582	C₂×C₈×C₁₃	—	2	2	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	C₂×D₄	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₄²×C₁₃	—	2	1	no	—
602	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
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	#6104	—	2	2	no	—
623	#6104	—	4	1	no	—
624	#6104	—	4	1	no	—
625	#6104	—	4	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
639	#6103	C₂×D₄	1	1	yes	characteristic
640	#6103	C₂×D₄	1	1	yes	characteristic
641	#6103	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₁₃	—	2	1	no	—
643	C₄⋊Dic₁₃	—	2	1	no	—
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	—	2	1	no	—
651	C₄⋊Dic₁₃	—	2	1	no	—
652	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
670	#6101	C₂×D₄	1	1	yes	characteristic
671	#6101	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	—	4	1	no	—
688	C₂×#1055	—	4	1	no	—
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	C₂×#1055	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	D₁₀₄	—	2	2	no	—
694	#6094	—	2	2	no	—
695	C₈×D₁₃	—	4	1	no	—
696	#3522	—	13	1	no	—
697	#3519	—	13	1	no	—
698	#3399	—	13	1	no	—
699	#3385	—	13	1	no	—
700	#3362	—	13	1	no	—
701	#3361	—	13	1	no	—
702	#3357	—	13	1	no	—
703	#3345	—	13	1	no	—
704	#3345	—	13	1	no	—
705	#3305	—	13	1	no	—
706	#3301	—	13	1	no	—
707	#3301	—	13	1	no	—
708	#3295	—	13	1	no	—
709	#3294	—	13	1	no	—
710	#3294	—	13	1	no	—
711	#3274	—	13	1	no	—
712	#3265	—	13	1	no	—
713	#3265	D₁₃	1	1	yes	characteristic, complemented
714	#3179	—	13	1	no	—
715	#3179	—	13	1	no	—
716	#3169	—	13	1	no	—
717	#3119	—	13	1	no	—
718	#3119	—	13	1	no	—
719	#3118	—	13	1	no	—
720	#3118	—	13	1	no	—
721	#3112	—	13	1	no	—
722	#3109	—	13	1	no	—
723	#2966	—	13	1	no	—
724	#2946	—	13	1	no	—
725	#2946	—	13	1	no	—
726	C₂×C₄×SD₁₆	—	13	1	no	—
727	C₂³×C₁₃	—	2	1	no	—
728	C₂³×C₁₃	—	2	1	no	—
729	C₂³×C₁₃	—	2	1	no	—
730	C₂³×C₁₃	—	2	1	no	—
731	C₂³×C₁₃	—	4	2	no	—
732	C₂³×C₁₃	—	4	2	no	—
733	C₂³×C₁₃	—	4	2	no	—
734	C₂³×C₁₃	—	8	1	no	—
735	C₂³×C₁₃	—	8	1	no	—
736	C₂³×C₁₃	—	8	1	no	—
737	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
739	C₂²×D₁₃	—	2	1	no	—
740	C₂²×D₁₃	—	2	1	no	—
741	C₂²×D₁₃	—	4	2	no	—
742	C₂²×D₁₃	—	8	1	no	—
743	C₂²×D₁₃	—	8	1	no	—
744	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
745	Q₈×C₁₃	—	2	1	no	—
746	Q₈×C₁₃	—	2	1	no	—
747	Q₈×C₁₃	—	2	1	no	—
748	Q₈×C₁₃	—	4	2	no	—
749	Q₈×C₁₃	C₂×#41	1	2	yes	—
750	D₄×C₁₃	—	2	2	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×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	—	4	2	no	—
759	D₄×C₁₃	—	4	2	no	—
760	D₄×C₁₃	—	4	2	no	—
761	D₄×C₁₃	—	4	2	no	—
762	D₄×C₁₃	—	4	2	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
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	—	2	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	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂²⋊D₁₃	—	8	1	no	—
795	C₂²⋊D₁₃	—	8	1	no	—
796	C₂²⋊D₁₃	—	8	1	no	—
797	C₂²⋊D₁₃	—	8	1	no	—
798	C₂²⋊D₁₃	—	8	1	no	—
799	C₂×Dic₁₃	—	2	2	no	—
800	C₂×Dic₁₃	—	2	2	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	4	2	no	—
808	C₂×Dic₁₃	—	4	2	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	—	8	1	no	—
811	C₂×Dic₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	C₂×Dic₁₃	—	8	1	no	—
815	C₂×Dic₁₃	—	8	1	no	—
816	C₂×Dic₁₃	—	8	1	no	—
817	C₂×Dic₁₃	—	8	1	no	—
818	C₂×Dic₁₃	—	8	1	no	—
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	D₅₂	—	2	1	no	—
827	D₅₂	—	2	1	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	2	1	no	—
830	D₅₂	—	4	2	no	—
831	C₄×D₁₃	—	2	1	no	—
832	C₄×D₁₃	—	2	1	no	—
833	C₄×D₁₃	—	4	2	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	Dic₂₆	—	2	2	no	—
840	Dic₂₆	—	8	1	no	—
841	Dic₂₆	—	8	1	no	—
842	Dic₂₆	—	8	1	no	—
843	Dic₂₆	—	8	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	C₈×C₁₃	—	2	1	no	—
847	C₈×C₁₃	C₂×#41	1	2	yes	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	—	2	1	no	—
851	#1055	—	2	1	no	—
852	C₂×AGL(1,ℤ/8)	—	13	1	no	—
853	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
854	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
855	#559	—	13	1	no	—
856	#559	—	26	1	no	—
857	Q₈²	—	13	1	no	—
858	#555	—	13	1	no	—
859	#554	—	13	1	no	—
860	#554	—	13	1	no	—
861	#554	—	26	1	no	—
862	#553	—	13	1	no	—
863	#553	—	13	1	no	—
864	#553	—	26	1	no	—
865	#550	—	13	1	no	—
866	#550	—	13	1	no	—
867	#548	—	13	1	no	—
868	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
869	#547	—	13	1	no	—
870	#547	—	13	1	no	—
871	#547	—	26	1	no	—
872	#547	—	26	1	no	—
873	#546	—	26	1	no	—
874	#546	—	26	1	no	—
875	#546	—	26	1	no	—
876	D₄²	—	13	1	no	—
877	D₄²	—	13	1	no	—
878	D₄²	C₂×D₁₃	1	1	yes	characteristic
879	#542	—	13	1	no	—
880	#542	—	13	1	no	—
881	#542	—	26	1	no	—
882	#542	—	26	1	no	—
883	#540	—	13	1	no	—
884	#540	—	13	1	no	—
885	#538	—	26	1	no	—
886	#538	—	26	1	no	—
887	#532	—	13	1	no	—
888	#532	—	13	1	no	—
889	#532	—	26	1	no	—
890	#529	—	13	1	no	—
891	#529	—	26	1	no	—
892	#525	—	26	1	no	—
893	C₂×#121	—	26	1	no	—
894	#520	—	13	1	no	—
895	#520	—	13	1	no	—
896	#518	—	13	1	no	—
897	#518	—	13	1	no	—
898	C₂×C₄×Q₈	—	13	1	no	—
899	C₂×C₄×D₄	—	13	1	no	—
900	#501	—	13	1	no	—
901	#501	—	13	1	no	—
902	#500	—	13	1	no	—
903	#496	—	13	1	no	—
904	#496	C₂×D₁₃	1	1	yes	characteristic, complemented
905	#493	—	13	1	no	—
906	#488	—	13	1	no	—
907	#488	—	13	1	no	—
908	#486	—	13	1	no	—
909	#486	—	13	1	no	—
910	#486	—	13	1	no	—
911	#486	—	13	1	no	—
912	#485	—	13	1	no	—
913	#485	—	13	1	no	—
914	#482	—	13	1	no	—
915	#482	—	13	1	no	—
916	#481	—	13	1	no	—
917	#481	—	13	1	no	—
918	#481	—	13	1	no	—
919	#481	—	13	1	no	—
920	#480	—	13	1	no	—
921	#480	—	13	1	no	—
922	#480	—	13	1	no	—
923	#480	—	13	1	no	—
924	#479	—	13	1	no	—
925	#479	—	13	1	no	—
926	#478	—	13	1	no	—
927	#478	—	13	1	no	—
928	#477	—	13	1	no	—
929	#477	—	13	1	no	—
930	#476	—	13	1	no	—
931	#476	—	13	1	no	—
932	#476	—	13	1	no	—
933	#476	—	13	1	no	—
934	#474	—	13	1	no	—
935	#474	—	13	1	no	—
936	#469	—	13	1	no	—
937	#469	—	13	1	no	—
938	#468	—	13	1	no	—
939	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#466	—	13	1	no	—
941	#466	—	13	1	no	—
942	#466	—	13	1	no	—
943	#466	—	13	1	no	—
944	#466	—	13	1	no	—
945	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#465	—	13	1	no	—
947	#465	—	13	1	no	—
948	#463	—	13	1	no	—
949	#463	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	C₂×D₁₃	1	1	yes	characteristic
952	#460	—	13	1	no	—
953	#460	—	13	1	no	—
954	#460	—	13	1	no	—
955	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#459	—	13	1	no	—
957	#459	—	13	1	no	—
958	#459	—	13	1	no	—
959	#459	—	13	1	no	—
960	#450	—	13	1	no	—
961	#450	C₂×D₁₃	1	1	yes	characteristic
962	#449	—	13	1	no	—
963	#449	—	13	1	no	—
964	#449	—	13	1	no	—
965	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#448	—	13	1	no	—
967	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#447	—	13	1	no	—
969	#447	—	13	1	no	—
970	#447	—	13	1	no	—
971	#447	C₂×D₁₃	1	1	yes	characteristic
972	#446	—	13	1	no	—
973	C₈×Q₈	—	13	1	no	—
974	#442	—	13	1	no	—
975	#442	—	13	1	no	—
976	#442	—	13	1	no	—
977	#442	—	13	1	no	—
978	#442	—	13	1	no	—
979	#442	—	13	1	no	—
980	#440	—	13	1	no	—
981	#440	—	13	1	no	—
982	#440	—	13	1	no	—
983	#440	—	13	1	no	—
984	#440	—	13	1	no	—
985	#440	C₂×D₁₃	1	1	yes	characteristic
986	C₄×SD₁₆	—	13	1	no	—
987	C₄×SD₁₆	—	13	1	no	—
988	C₄×SD₁₆	—	13	1	no	—
989	C₄×SD₁₆	—	13	1	no	—
990	C₄×SD₁₆	—	13	1	no	—
991	C₄×SD₁₆	—	13	1	no	—
992	C₄×SD₁₆	—	13	1	no	—
993	C₄×SD₁₆	—	13	1	no	—
994	C₄×SD₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×D₈	—	13	1	no	—
997	C₄×D₈	—	13	1	no	—
998	C₄×D₈	—	13	1	no	—
999	C₄×D₈	—	13	1	no	—
1000	C₄×D₈	—	13	1	no	—
1001	C₄×D₈	—	13	1	no	—
1002	#436	—	13	1	no	—
1003	#435	—	13	1	no	—
1004	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	C₈×D₄	—	13	1	no	—
1006	C₈×D₄	—	13	1	no	—
1007	C₈×D₄	—	13	1	no	—
1008	#433	—	13	1	no	—
1009	#433	—	13	1	no	—
1010	#432	—	13	1	no	—
1011	#428	—	13	1	no	—
1012	#428	—	13	1	no	—
1013	C₂×#106	—	13	1	no	—
1014	#416	—	13	1	no	—
1015	#416	—	13	1	no	—
1016	C₂×#103	—	13	1	no	—
1017	C₂×#102	—	13	1	no	—
1018	C₂×#102	—	13	1	no	—
1019	C₂×#102	—	13	1	no	—
1020	#405	—	13	1	no	—
1021	#405	—	13	1	no	—
1022	C₂×C₄×C₈	—	13	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	2	2	no	—
1026	C₂²×C₁₃	—	2	1	no	—
1027	C₂²×C₁₃	—	2	1	no	—
1028	C₂²×C₁₃	—	2	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	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	—	8	4	no	—
1041	C₂²×C₁₃	—	16	2	no	—
1042	C₂²×C₁₃	#576	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	—	4	1	no	—
1048	C₂×D₁₃	—	4	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	—	16	2	no	—
1054	C₄×C₁₃	—	2	2	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1063	C₄×C₁₃	#585	1	1	yes	characteristic
1064	Dic₁₃	—	2	1	no	—
1065	Dic₁₃	—	2	1	no	—
1066	Dic₁₃	—	2	1	no	—
1067	Dic₁₃	—	2	1	no	—
1068	Dic₁₃	—	2	1	no	—
1069	Dic₁₃	—	2	1	no	—
1070	Dic₁₃	—	4	1	no	—
1071	Dic₁₃	—	4	1	no	—
1072	Dic₁₃	—	4	1	no	—
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	—	4	1	no	—
1076	Dic₁₃	#577	1	2	yes	—
1077	C₂×#41	—	13	1	no	—
1078	C₂×#41	—	26	1	no	—
1079	C₂×#41	—	26	1	no	—
1080	C₂×#41	—	26	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	—	26	1	no	—
1083	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1084	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1085	C₂²×D₄	—	2	1	no	—
1086	C₂²×D₄	—	13	1	no	—
1087	C₂²×D₄	—	26	1	no	—
1088	C₂²×D₄	—	26	1	no	—
1089	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂³×C₄	—	26	1	no	—
1092	AGL(1,ℤ/8)	—	2	4	no	—
1093	AGL(1,ℤ/8)	—	26	4	no	—
1094	C₂×SD₁₆	—	2	4	no	—
1095	C₂×SD₁₆	—	13	1	no	—
1096	C₂×SD₁₆	—	13	1	no	—
1097	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂×D₈	—	13	1	no	—
1104	C₂×D₈	—	13	1	no	—
1105	C₂×D₈	—	13	1	no	—
1106	C₂×D₈	—	13	1	no	—
1107	C₂×D₈	—	13	1	no	—
1108	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1110	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂×M₁₆	—	13	1	no	—
1112	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂²×C₈	—	13	1	no	—
1114	C₂²×C₈	—	13	1	no	—
1115	C₂²×C₈	—	13	1	no	—
1116	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1117	C₄⋊Q₈	—	13	1	no	—
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	C₄⋊Q₈	—	13	1	no	—
1121	C₄⋊Q₈	—	26	1	no	—
1122	C₄⋊Q₈	—	26	1	no	—
1123	C₄⋊Q₈	—	26	1	no	—
1124	#127	—	13	1	no	—
1125	#127	—	13	1	no	—
1126	#127	—	13	1	no	—
1127	#127	—	26	1	no	—
1128	#127	C₂²×D₁₃	1	1	yes	characteristic
1129	#126	—	13	1	no	—
1130	#126	—	13	1	no	—
1131	#126	—	26	1	no	—
1132	#126	—	26	1	no	—
1133	#126	—	26	1	no	—
1134	#126	—	26	1	no	—
1135	#125	—	13	1	no	—
1136	#125	—	13	1	no	—
1137	#125	—	13	1	no	—
1138	#125	—	26	1	no	—
1139	#124	—	2	1	no	—
1140	#124	—	13	1	no	—
1141	#124	—	13	1	no	—
1142	#124	—	26	1	no	—
1143	#124	—	26	1	no	—
1144	#124	—	26	1	no	—
1145	#124	—	26	1	no	—
1146	#124	—	26	1	no	—
1147	#124	—	26	1	no	—
1148	#124	—	26	1	no	—
1149	#124	—	26	1	no	—
1150	#124	C₂²×D₁₃	1	1	yes	characteristic
1151	#123	—	13	1	no	—
1152	#123	—	13	1	no	—
1153	#123	—	26	1	no	—
1154	#123	—	26	1	no	—
1155	#123	—	26	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	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	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	13	1	no	—
1169	C₂²⋊Q₈	—	13	1	no	—
1170	C₂²⋊Q₈	—	26	1	no	—
1171	C₂²⋊Q₈	—	26	1	no	—
1172	C₂²⋊Q₈	—	26	1	no	—
1173	C₂²⋊Q₈	—	26	1	no	—
1174	C₂²⋊Q₈	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	13	1	no	—
1184	#121	—	13	1	no	—
1185	#121	—	13	1	no	—
1186	#121	—	13	1	no	—
1187	#121	—	13	1	no	—
1188	#121	—	13	1	no	—
1189	#121	—	13	1	no	—
1190	#121	—	13	1	no	—
1191	#121	—	26	1	no	—
1192	#121	—	26	1	no	—
1193	#121	—	26	1	no	—
1194	#121	—	26	1	no	—
1195	#121	—	26	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	—	26	1	no	—
1208	#121	C₂²×D₁₃	1	1	yes	characteristic
1209	#121	C₂²×D₁₃	1	1	yes	characteristic
1210	#121	C₂²×D₁₃	1	1	yes	characteristic
1211	#120	—	2	1	no	—
1212	#120	—	2	1	no	—
1213	#120	—	26	1	no	—
1214	#120	—	26	1	no	—
1215	#120	—	26	1	no	—
1216	#120	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	13	1	no	—
1229	C₄×D₄	—	13	1	no	—
1230	C₄×D₄	—	13	1	no	—
1231	C₄×D₄	—	13	1	no	—
1232	C₄×D₄	—	13	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	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	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	—	26	1	no	—
1260	C₄×D₄	—	26	1	no	—
1261	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1262	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1263	#117	—	13	1	no	—
1264	#117	—	13	1	no	—
1265	#117	—	13	1	no	—
1266	#117	—	13	1	no	—
1267	#117	—	26	1	no	—
1268	#117	—	26	1	no	—
1269	#117	—	26	1	no	—
1270	C₂×C₄⋊C₄	—	13	1	no	—
1271	C₂×C₄⋊C₄	—	13	1	no	—
1272	C₂×C₄⋊C₄	—	13	1	no	—
1273	C₂×C₄⋊C₄	—	13	1	no	—
1274	C₂×C₄⋊C₄	—	26	1	no	—
1275	C₂×C₄⋊C₄	—	26	1	no	—
1276	C₂×C₄⋊C₄	—	26	1	no	—
1277	C₂×C₄⋊C₄	—	26	1	no	—
1278	C₂×C₂²⋊C₄	—	26	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₂²⋊C₄	—	26	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₄²	—	13	1	no	—
1284	C₂×C₄²	—	26	1	no	—
1285	#107	—	13	1	no	—
1286	#107	—	13	1	no	—
1287	#107	—	13	1	no	—
1288	#107	—	13	1	no	—
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	—	13	1	no	—
1292	#107	C₂²×D₁₃	1	1	yes	characteristic
1293	#106	—	13	1	no	—
1294	#106	—	13	1	no	—
1295	#106	—	13	1	no	—
1296	#106	—	13	1	no	—
1297	#106	—	13	1	no	—
1298	#106	—	13	1	no	—
1299	#106	—	13	1	no	—
1300	#106	—	13	1	no	—
1301	C₄⋊C₈	—	13	1	no	—
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	—	13	1	no	—
1306	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1307	#103	—	13	1	no	—
1308	#103	—	13	1	no	—
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	C₂²×D₁₃	1	1	yes	characteristic
1314	#103	C₂²×D₁₃	1	1	yes	characteristic
1315	#102	—	13	1	no	—
1316	#102	—	13	1	no	—
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	C₂²⋊C₈	—	13	1	no	—
1340	C₂²⋊C₈	—	13	1	no	—
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	—	13	1	no	—
1343	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1344	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1345	#97	—	13	1	no	—
1346	#97	—	13	1	no	—
1347	#97	—	13	1	no	—
1348	#97	C₂²×D₁₃	1	1	yes	characteristic
1349	C₄×C₈	—	13	1	no	—
1350	C₄×C₈	—	13	1	no	—
1351	C₄×C₈	—	13	1	no	—
1352	C₄×C₈	—	13	1	no	—
1353	C₄×C₈	—	13	1	no	—
1354	C₄×C₈	—	13	1	no	—
1355	C₂×C₁₃	—	2	2	no	—
1356	C₂×C₁₃	—	4	2	no	—
1357	C₂×C₁₃	—	4	1	no	—
1358	C₂×C₁₃	—	8	1	no	—
1359	C₂×C₁₃	—	8	1	no	—
1360	C₂×C₁₃	—	8	1	no	—
1361	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1362	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1363	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1364	D₁₃	—	4	1	no	—
1365	D₁₃	—	8	1	no	—
1366	D₁₃	—	8	1	no	—
1367	C₂⁴	—	2	1	no	—
1368	C₂⁴	—	2	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	#41	—	2	2	no	—
1371	#41	—	4	1	no	—
1372	#41	—	26	2	no	—
1373	#41	—	52	1	no	—
1374	#41	—	104	2	no	—
1375	#41	—	104	2	no	—
1376	#41	—	104	2	no	—
1377	#41	—	104	2	no	—
1378	#41	—	104	2	no	—
1379	C₂×Q₈	—	2	1	no	—
1380	C₂×Q₈	—	2	2	no	—
1381	C₂×Q₈	—	4	1	no	—
1382	C₂×Q₈	—	13	1	no	—
1383	C₂×Q₈	—	26	1	no	—
1384	C₂×Q₈	—	26	1	no	—
1385	C₂×Q₈	—	26	1	no	—
1386	C₂×Q₈	—	26	1	no	—
1387	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1388	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂×D₄	—	2	2	no	—
1390	C₂×D₄	—	2	2	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	4	1	no	—
1400	C₂×D₄	—	4	1	no	—
1401	C₂×D₄	—	8	2	no	—
1402	C₂×D₄	—	13	1	no	—
1403	C₂×D₄	—	13	1	no	—
1404	C₂×D₄	—	13	1	no	—
1405	C₂×D₄	—	13	1	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	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	2	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	52	1	no	—
1423	C₂×D₄	—	104	2	no	—
1424	C₂×D₄	—	104	2	no	—
1425	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1426	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1428	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1429	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	13	1	no	—
1434	C₂²×C₄	—	13	1	no	—
1435	C₂²×C₄	—	13	1	no	—
1436	C₂²×C₄	—	26	1	no	—
1437	C₂²×C₄	—	26	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	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	—	104	2	no	—
1455	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1456	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	26	2	no	—
1463	SD₁₆	—	52	1	no	—
1464	SD₁₆	#6129	1	4	yes	complemented
1465	D₈	—	2	2	no	—
1466	D₈	—	2	2	no	—
1467	D₈	—	4	1	no	—
1468	D₈	—	26	2	no	—
1469	D₈	—	26	2	no	—
1470	D₈	—	52	1	no	—
1471	D₈	—	52	1	no	—
1472	D₈	—	52	1	no	—
1473	M₁₆	—	2	2	no	—
1474	M₁₆	—	26	2	no	—
1475	C₂×C₈	—	2	2	no	—
1476	C₂×C₈	—	13	1	no	—
1477	C₂×C₈	—	13	1	no	—
1478	C₂×C₈	—	13	1	no	—
1479	C₂×C₈	—	13	1	no	—
1480	C₂×C₈	—	52	1	no	—
1481	C₂×C₈	—	52	1	no	—
1482	C₂×C₈	—	52	1	no	—
1483	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	13	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	13	1	no	—
1492	C₄⋊C₄	—	13	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	13	1	no	—
1500	C₄⋊C₄	—	13	1	no	—
1501	C₄⋊C₄	—	13	1	no	—
1502	C₄⋊C₄	—	13	1	no	—
1503	C₄⋊C₄	—	13	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1523	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	13	1	no	—
1533	C₂²⋊C₄	—	13	1	no	—
1534	C₂²⋊C₄	—	13	1	no	—
1535	C₂²⋊C₄	—	13	1	no	—
1536	C₂²⋊C₄	—	13	1	no	—
1537	C₂²⋊C₄	—	13	1	no	—
1538	C₂²⋊C₄	—	13	1	no	—
1539	C₂²⋊C₄	—	13	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1566	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1567	C₄²	—	2	1	no	—
1568	C₄²	—	13	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	13	1	no	—
1572	C₄²	—	13	1	no	—
1573	C₄²	—	26	1	no	—
1574	C₄²	—	26	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	—	26	1	no	—
1580	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1581	C₁₃	#61498	1	1	yes	characteristic, complemented, Sylow
1582	C₂³	—	2	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	4	2	no	—
1589	C₂³	—	8	1	no	—
1590	C₂³	—	8	1	no	—
1591	C₂³	—	8	1	no	—
1592	C₂³	—	13	1	no	—
1593	C₂³	—	26	1	no	—
1594	C₂³	—	26	1	no	—
1595	C₂³	—	52	2	no	—
1596	C₂³	—	104	1	no	—
1597	C₂³	—	104	1	no	—
1598	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1599	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	4	2	no	—
1604	Q₈	—	26	2	no	—
1605	Q₈	—	104	1	no	—
1606	Q₈	—	104	1	no	—
1607	Q₈	—	104	1	no	—
1608	Q₈	—	104	1	no	—
1609	Q₈	C₂×#6129	1	2	yes	—
1610	D₄	—	2	2	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	4	2	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	4	2	no	—
1621	D₄	—	4	2	no	—
1622	D₄	—	4	2	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	26	2	no	—
1627	D₄	—	26	2	no	—
1628	D₄	—	26	1	no	—
1629	D₄	—	26	1	no	—
1630	D₄	—	26	1	no	—
1631	D₄	—	26	1	no	—
1632	D₄	—	52	2	no	—
1633	D₄	—	52	2	no	—
1634	D₄	—	52	2	no	—
1635	D₄	—	52	2	no	—
1636	D₄	—	52	2	no	—
1637	D₄	—	52	2	no	—
1638	D₄	—	104	1	no	—
1639	D₄	—	104	1	no	—
1640	D₄	—	104	1	no	—
1641	D₄	—	104	1	no	—
1642	D₄	—	104	1	no	—
1643	D₄	—	104	1	no	—
1644	D₄	—	104	1	no	—
1645	D₄	—	104	1	no	—
1646	D₄	—	104	1	no	—
1647	D₄	C₂×#6129	1	2	yes	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	13	1	no	—
1660	C₂×C₄	—	13	1	no	—
1661	C₂×C₄	—	13	1	no	—
1662	C₂×C₄	—	13	1	no	—
1663	C₂×C₄	—	13	1	no	—
1664	C₂×C₄	—	13	1	no	—
1665	C₂×C₄	—	13	1	no	—
1666	C₂×C₄	—	26	2	no	—
1667	C₂×C₄	—	26	2	no	—
1668	C₂×C₄	—	26	1	no	—
1669	C₂×C₄	—	26	1	no	—
1670	C₂×C₄	—	26	1	no	—
1671	C₂×C₄	—	26	1	no	—
1672	C₂×C₄	—	26	1	no	—
1673	C₂×C₄	—	26	1	no	—
1674	C₂×C₄	—	26	1	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	52	2	no	—
1677	C₂×C₄	—	52	2	no	—
1678	C₂×C₄	—	52	2	no	—
1679	C₂×C₄	—	52	2	no	—
1680	C₂×C₄	—	104	1	no	—
1681	C₂×C₄	—	104	1	no	—
1682	C₂×C₄	—	104	1	no	—
1683	C₂×C₄	—	104	1	no	—
1684	C₂×C₄	—	104	1	no	—
1685	C₂×C₄	—	104	1	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	—	104	1	no	—
1690	C₂×C₄	—	104	1	no	—
1691	C₂×C₄	—	104	1	no	—
1692	C₂×C₄	—	104	1	no	—
1693	C₂×C₄	—	104	1	no	—
1694	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1699	C₈	—	2	1	no	—
1700	C₈	—	2	1	no	—
1701	C₈	—	2	1	no	—
1702	C₈	—	26	1	no	—
1703	C₈	—	26	1	no	—
1704	C₈	—	26	1	no	—
1705	C₈	—	26	1	no	—
1706	C₈	C₂×#6129	1	2	yes	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	2	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	8	4	no	—
1725	C₂²	—	16	2	no	—
1726	C₂²	—	26	1	no	—
1727	C₂²	—	26	1	no	—
1728	C₂²	—	26	1	no	—
1729	C₂²	—	52	1	no	—
1730	C₂²	—	52	1	no	—
1731	C₂²	—	52	1	no	—
1732	C₂²	—	52	1	no	—
1733	C₂²	—	52	1	no	—
1734	C₂²	—	52	1	no	—
1735	C₂²	—	208	2	no	—
1736	C₂²	#11719479	1	2	yes	—
1737	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	2	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	13	2	no	—
1747	C₄	—	26	1	no	—
1748	C₄	—	26	1	no	—
1749	C₄	—	26	1	no	—
1750	C₄	—	26	1	no	—
1751	C₄	—	26	1	no	—
1752	C₄	—	26	1	no	—
1753	C₄	—	52	1	no	—
1754	C₄	—	52	1	no	—
1755	C₄	—	52	1	no	—
1756	C₄	—	52	1	no	—
1757	C₄	—	52	1	no	—
1758	C₄	—	52	1	no	—
1759	C₄	C₂²×#6129	1	1	yes	characteristic
1760	C₄	#11719650	1	1	yes	characteristic
1761	C₂	—	2	2	no	—
1762	C₂	—	4	1	no	—
1763	C₂	—	4	2	no	—
1764	C₂	—	8	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	52	1	no	—
1768	C₂	—	104	1	no	—
1769	C₂	—	104	1	no	—
1770	C₂	D₄×#6129	1	1	yes	characteristic
1771	C₂	C₂×#11719479	1	1	yes	characteristic
1772	C₂	D₁₃×#577	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×#3265	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3265	D₁₃
hypocenter	C₁₃	#61498
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3265

Complements

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

N	H ≅ G/N	type
1. #13128912	C₂	semidirect
2. #13128855	C₂	semidirect
3. #13127875	C₂	semidirect
4. #13127747	C₂	semidirect
5. #13127502	C₂	semidirect
6. #13127491	C₂	semidirect
7. #13127457	C₂	semidirect
8. #13127312	C₂	semidirect
9. #13127308	C₂	semidirect
10. #13126779	C₂	semidirect
11. #13126742	C₂	semidirect
12. #13126738	C₂	semidirect
13. #13126653	C₂	semidirect
14. #13126649	C₂	semidirect
15. #13126642	C₂	semidirect
16. #13126450	C₂	semidirect
17. #13126331	C₂	semidirect
18. #13125516	C₂	semidirect
19. #13125512	C₂	semidirect
20. #13125410	C₂	semidirect
21. #13125036	C₂	semidirect
22. #13125034	C₂	semidirect
23. #13125021	C₂	semidirect
24. #13125019	C₂	semidirect
25. #13124953	C₂	semidirect
26. #13124922	C₂	semidirect
27. #13123806	C₂	semidirect
28. #13123669	C₂	semidirect
29. #13123667	C₂	semidirect
30. C₂×SD₁₆×Dic₁₃	C₂	semidirect
31. C₁₃×#3265	C₂	semidirect
34. C₁₃×#548	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719532	C₂²	semidirect
38. #11719522	C₂²	semidirect
39. C₂×Q₈×Dic₁₃	C₂²	semidirect
50. #11719387	C₂²	semidirect
52. #11719386	C₂²	semidirect
54. #11719348	C₂²	semidirect
56. #11719340	C₂²	semidirect
62. #11719316	C₂²	semidirect
66. #11719301	C₂²	semidirect
71. #11719279	C₂²	semidirect
72. Q₈×Dic₂₆	C₂²	semidirect
75. #11719260	C₂²	semidirect
80. C₁₃×#496	C₂²	semidirect
81. C₁₃×#468	C₂²	semidirect
82. C₁₃×#466	C₂²	semidirect
84. C₁₃×#460	C₂²	semidirect
86. C₁₃×#449	C₂²	semidirect
87. C₁₃×#448	C₂²	semidirect
90. C₁₃×#435	C₂²	semidirect
91. #11718899	C₂²	semidirect
92. #11718894	C₂²	semidirect
93. #11718888	C₂²	semidirect
94. C₂×#88075	C₂²	semidirect
99. #11718837	C₂²	semidirect
100. #11718835	C₂²	semidirect
101. #11718833	C₂²	semidirect
102. #11718833	C₂²	semidirect
103. #11718832	C₂²	semidirect
106. #11718826	C₂²	semidirect
108. #11718825	C₂²	semidirect
109. #11718825	C₂²	semidirect
110. #11718824	C₂²	semidirect
111. #11718824	C₂²	semidirect
112. #11718824	C₂²	semidirect
117. SD₁₆×Dic₁₃	C₂²	semidirect
118. SD₁₆×Dic₁₃	C₂²	semidirect
119. SD₁₆×Dic₁₃	C₂²	semidirect
120. SD₁₆×Dic₁₃	C₂²	semidirect
121. SD₁₆×Dic₁₃	C₂²	semidirect
122. #11718820	C₂²	semidirect
123. #11718818	C₂²	semidirect
126. #11718813	C₂²	semidirect
127. #11718813	C₂²	semidirect
128. #11718812	C₂²	semidirect
130. #11718811	C₂²	semidirect
131. #11718811	C₂²	semidirect
133. D₈×Dic₁₃	C₂²	semidirect
134. #11718796	C₂²	semidirect
135. #11718789	C₂²	semidirect
136. #11718783	C₂²	semidirect
137. #11718782	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. #11718772	C₂²	semidirect
140. C₂×#88057	C₂²	semidirect
141. C₂×C₈×Dic₁₃	C₂²	semidirect
142. #11718733	C₂²	semidirect
143. #11718731	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718717	C₂²	semidirect
146. #11718709	C₂²	semidirect
147. #11718706	C₂²	semidirect
148. #11718699	C₂²	semidirect
149. #11718699	C₂²	semidirect
150. #11718699	C₂²	semidirect
151. #11718695	C₂²	semidirect
152. #11718694	C₂²	semidirect
153. #11718694	C₂²	semidirect
154. C₄×#6106	C₂²	semidirect
155. #11718683	C₂²	semidirect
157. D₄×#1055	C₂²	semidirect
159. #11718542	C₂²	semidirect
160. #11718537	C₂²	semidirect
161. #11718535	C₂²	semidirect
162. #11718533	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718503	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718491	C₂²	semidirect
167. #11718478	C₂²	semidirect
168. #11718478	C₂²	semidirect
169. #11718476	C₂²	semidirect
170. #11718465	C₂²	semidirect
171. #11718461	C₂²	semidirect
172. #11718460	C₂²	semidirect
173. #11718455	C₂²	semidirect
174. #11718455	C₂²	semidirect
176. #11718446	C₂²	semidirect
177. #11718440	C₂²	semidirect
178. #11718438	C₂²	semidirect
179. #11718435	C₂²	semidirect
181. #11718424	C₂²	semidirect
183. #11718422	C₂²	semidirect
184. #11718422	C₂²	semidirect
185. #11718421	C₂²	semidirect
186. #11718421	C₂²	semidirect
187. #11718421	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718396	C₂²	semidirect
194. #11718396	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. #11718381	C₂²	semidirect
198. #11718380	C₂²	semidirect
199. #11718372	C₂²	semidirect
200. #11718369	C₂²	semidirect
201. #11718363	C₂²	semidirect
202. #11718362	C₂²	semidirect
577. C₁₃×SD₁₆	#41	semidirect
713. #3265	D₁₃	semidirect
868. #548	C₂×D₁₃	semidirect
904. #496	C₂×D₁₃	semidirect
939. #468	C₂×D₁₃	semidirect
945. #466	C₂×D₁₃	semidirect
955. #460	C₂×D₁₃	semidirect
965. #449	C₂×D₁₃	semidirect
967. #448	C₂×D₁₃	semidirect
1004. #435	C₂×D₁₃	semidirect
1464. SD₁₆	#6129	semidirect
1581. C₁₃	#61498	semidirect

Maximal subgroups

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

subgroup	index
#13128912	2
#13128855	2
#13127875	2
#13127747	2
#13127502	2
#13127491	2
#13127457	2
#13127312	2
#13127308	2
#13126779	2
#13126742	2
#13126738	2
#13126653	2
#13126649	2
#13126642	2
#13126450	2
#13126331	2
#13125516	2
#13125512	2
#13125410	2
#13125036	2
#13125034	2
#13125021	2
#13125019	2
#13124953	2
#13124922	2
#13123806	2
#13123669	2
#13123667	2
C₂×SD₁₆×Dic₁₃	2
C₁₃×#3265	2
#61498	13