Subgroups — #16748640

Order 3328.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129117	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128491	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127170	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127093	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126963	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126943	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126895	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126846	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126768	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126719	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126570	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126560	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126495	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126487	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126421	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126419	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126410	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126385	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125928	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125906	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125709	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125682	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125675	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125615	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125130	C₂	1	1	yes	maximal, characteristic, complemented
26	#13125058	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124131	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124095	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124053	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123879	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂²×#6131	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#537	C₂²	1	1	yes	characteristic
37	#11719539	—	2	1	no	—
38	#11719539	—	2	1	no	—
39	#11719539	C₂²	1	1	yes	characteristic
40	#11719539	C₂²	1	1	yes	characteristic
41	#11719539	C₂²	1	1	yes	characteristic
42	#11719539	C₂²	1	1	yes	characteristic
43	#11719536	C₂²	1	1	yes	characteristic, complemented
44	#11719535	—	2	1	no	—
45	#11719535	—	2	1	no	—
46	#11719535	C₂²	1	1	yes	characteristic
47	#11719535	C₂²	1	1	yes	characteristic
48	#11719533	—	2	1	no	—
49	#11719533	—	2	1	no	—
50	#11719533	C₂²	1	1	yes	characteristic
51	#11719533	C₂²	1	1	yes	characteristic
52	#11719530	C₂²	1	1	yes	characteristic
53	#11719529	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
55	#11719522	—	2	1	no	—
56	#11719522	—	2	1	no	—
57	#11719522	C₂²	1	1	yes	characteristic
58	#11719522	C₂²	1	1	yes	characteristic
59	#11719522	C₂²	1	1	yes	characteristic
60	#11719522	C₂²	1	1	yes	characteristic
61	#11719517	C₂²	1	1	yes	characteristic
62	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88172	C₂²	1	1	yes	characteristic
64	C₂×#88172	C₂²	1	1	yes	characteristic
65	C₂×#88170	C₂²	1	1	yes	characteristic
66	C₂×#88170	C₂²	1	1	yes	characteristic
67	#11719351	—	2	1	no	—
68	#11719346	C₂²	1	1	yes	characteristic, complemented
69	#11719341	—	2	1	no	—
70	#11719337	C₂²	1	1	yes	characteristic, complemented
71	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
72	#11719330	C₂²	1	1	yes	characteristic
73	#11719326	—	2	1	no	—
74	#11719319	—	2	1	no	—
75	#11719319	C₂²	1	1	yes	characteristic, complemented
76	#11719318	—	2	1	no	—
77	#11719318	—	2	1	no	—
78	#11719311	C₂²	1	1	yes	characteristic
79	#11719308	—	2	1	no	—
80	#11719308	C₂²	1	1	yes	characteristic
81	#11719307	—	2	1	no	—
82	#11719303	C₂²	1	1	yes	characteristic, complemented
83	#11719218	C₂²	1	1	yes	characteristic, complemented
84	#11719216	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#452	C₂²	1	1	yes	characteristic
86	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#451	C₂²	1	1	yes	characteristic
88	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#448	C₂²	1	1	yes	characteristic
92	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#408	C₂²	1	1	yes	characteristic
96	#11718900	C₂²	1	1	yes	characteristic
97	#11718900	C₂²	1	1	yes	characteristic
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718900	C₂²	1	1	yes	characteristic, complemented
100	#11718899	C₂²	1	1	yes	characteristic, complemented
101	#11718899	C₂²	1	1	yes	characteristic, complemented
102	#11718895	C₂²	1	1	yes	characteristic
103	#11718894	C₂²	1	1	yes	characteristic, complemented
104	#11718889	C₂²	1	1	yes	characteristic
105	#11718889	C₂²	1	1	yes	characteristic
106	#11718889	C₂²	1	1	yes	characteristic, complemented
107	#11718889	C₂²	1	1	yes	characteristic, complemented
108	#11718886	C₂²	1	1	yes	characteristic, complemented
109	#11718851	C₂²	1	1	yes	characteristic, complemented
110	#11718849	C₂²	1	1	yes	characteristic, complemented
111	#11718848	C₂²	1	1	yes	characteristic
112	#11718848	C₂²	1	1	yes	characteristic
113	#11718847	C₂²	1	1	yes	characteristic, complemented
114	#11718846	C₂²	1	1	yes	characteristic, complemented
115	#11718845	C₂²	1	1	yes	characteristic, complemented
116	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
117	#11718843	C₂²	1	1	yes	characteristic, complemented
118	#11718843	C₂²	1	1	yes	characteristic, complemented
119	#11718836	C₂²	1	1	yes	characteristic, complemented
120	#11718835	C₂²	1	1	yes	characteristic, complemented
121	#11718834	C₂²	1	1	yes	characteristic, complemented
122	#11718833	C₂²	1	1	yes	characteristic
123	#11718833	C₂²	1	1	yes	characteristic
124	#11718832	C₂²	1	1	yes	characteristic, complemented
125	#11718831	C₂²	1	1	yes	characteristic, complemented
126	#11718829	C₂²	1	1	yes	characteristic, complemented
127	#11718827	C₂²	1	1	yes	characteristic, complemented
128	#11718827	C₂²	1	1	yes	characteristic, complemented
129	#11718826	C₂²	1	1	yes	characteristic, complemented
130	#11718825	C₂²	1	1	yes	characteristic, complemented
131	#11718824	C₂²	1	1	yes	characteristic, complemented
132	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
133	#11718820	C₂²	1	1	yes	characteristic, complemented
134	#11718819	C₂²	1	1	yes	characteristic, complemented
135	#11718815	C₂²	1	1	yes	characteristic, complemented
136	#11718811	C₂²	1	1	yes	characteristic, complemented
137	#11718795	C₂²	1	1	yes	characteristic, complemented
138	#11718795	C₂²	1	1	yes	characteristic, complemented
139	#11718789	C₂²	1	1	yes	characteristic, complemented
140	#11718788	C₂²	1	1	yes	characteristic, complemented
141	#11718775	C₂²	1	1	yes	characteristic, complemented
142	#11718775	C₂²	1	1	yes	characteristic, complemented
143	#11718772	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
145	#11718710	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic, complemented
147	#11718707	C₂²	1	1	yes	characteristic
148	#11718706	C₂²	1	1	yes	characteristic
149	#11718700	C₂²	1	1	yes	characteristic, complemented
150	#11718699	C₂²	1	1	yes	characteristic, complemented
151	#11718697	C₂²	1	1	yes	characteristic
152	#11718696	C₂²	1	1	yes	characteristic
153	#11718629	C₂²	1	1	yes	characteristic, complemented
154	#11718628	C₂²	1	1	yes	characteristic, complemented
155	#11718477	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718474	C₂²	1	1	yes	characteristic, complemented
158	#11718471	C₂²	1	1	yes	characteristic
159	#11718471	C₂²	1	1	yes	characteristic
160	#11718471	C₂²	1	1	yes	characteristic
161	#11718471	C₂²	1	1	yes	characteristic
162	#11718466	C₂²	1	1	yes	characteristic, complemented
163	#11718465	C₂²	1	1	yes	characteristic
164	#11718465	C₂²	1	1	yes	characteristic
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718464	C₂²	1	1	yes	characteristic
167	#11718461	C₂²	1	1	yes	characteristic, complemented
168	#11718460	C₂²	1	1	yes	characteristic, complemented
169	#11718459	C₂²	1	1	yes	characteristic, complemented
170	#11718459	C₂²	1	1	yes	characteristic, complemented
171	#11718457	C₂²	1	1	yes	characteristic, complemented
172	#11718456	C₂²	1	1	yes	characteristic, complemented
173	#11718455	C₂²	1	1	yes	characteristic, complemented
174	#11718452	C₂²	1	1	yes	characteristic, complemented
175	#11718451	C₂²	1	1	yes	characteristic, complemented
176	#11718451	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718441	C₂²	1	1	yes	characteristic, complemented
181	#11718439	C₂²	1	1	yes	characteristic, complemented
182	#11718435	C₂²	1	1	yes	characteristic, complemented
183	#11718425	C₂²	1	1	yes	characteristic, complemented
184	#11718423	C₂²	1	1	yes	characteristic, complemented
185	#11718423	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718399	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718398	C₂²	1	1	yes	characteristic, complemented
190	#11718398	C₂²	1	1	yes	characteristic, complemented
191	#11718392	C₂²	1	1	yes	characteristic
192	#11718392	C₂²	1	1	yes	characteristic
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#11718384	C₂²	1	1	yes	characteristic
200	#11718384	C₂²	1	1	yes	characteristic
201	#11718381	C₂²	1	1	yes	characteristic
202	#11718381	C₂²	1	1	yes	characteristic
203	C₁₃×2₋¹⁺⁴	—	4	2	no	—
204	C₁₃×2₋¹⁺⁴	—	4	2	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	—	2	1	no	—
207	C₂×C₁₃×#41	—	2	1	no	—
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
213	C₂²×Q₈×C₁₃	—	2	1	no	—
214	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
215	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
216	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×#6131	—	2	1	no	—
218	C₂×#6131	—	2	1	no	—
219	C₂×#6131	—	4	2	no	—
220	C₂×#6131	—	4	2	no	—
221	C₂×#6131	C₂³	1	1	yes	characteristic
222	C₂×#6131	C₂³	1	1	yes	characteristic
223	C₂×#6131	C₂³	1	1	yes	characteristic
224	C₂×#6131	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6129	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	—	2	1	no	—
228	C₂²×D₅₂	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₁₃×#137	—	4	2	no	—
233	C₁₃×#135	—	4	2	no	—
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
243	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	#88205	—	4	2	no	—
254	#88201	—	2	1	no	—
255	#88201	—	2	1	no	—
256	#88201	—	2	1	no	—
257	#88201	—	2	1	no	—
258	#88201	—	2	1	no	—
259	#88201	C₂³	1	1	yes	characteristic
260	#88201	C₂³	1	1	yes	characteristic
261	#88200	—	2	1	no	—
262	#88200	—	2	1	no	—
263	#88200	—	2	1	no	—
264	#88200	—	2	1	no	—
265	#88200	D₄	1	1	yes	characteristic
266	#88200	D₄	1	1	yes	characteristic
267	#88200	C₂³	1	1	yes	characteristic
268	#88200	C₂³	1	1	yes	characteristic
269	#88200	C₂³	1	1	yes	characteristic
270	Q₈×Dic₁₃	—	2	1	no	—
271	Q₈×Dic₁₃	—	2	1	no	—
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
273	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
274	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
275	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	#88198	—	2	1	no	—
278	#88198	C₂³	1	1	yes	characteristic
279	C₂×#6107	—	4	2	no	—
280	C₂×#6107	C₂³	1	1	yes	characteristic
281	C₂×#6107	C₂³	1	1	yes	characteristic
282	C₂×#6107	C₂³	1	1	yes	characteristic
283	C₂×#6107	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	C₂×#6107	C₂³	1	1	yes	characteristic
286	C₂×#6106	C₂³	1	1	yes	characteristic
287	C₂×#6106	C₂³	1	1	yes	characteristic
288	#88194	—	2	1	no	—
289	#88194	—	2	1	no	—
290	#88194	—	2	1	no	—
291	#88194	—	2	1	no	—
292	#88194	—	2	1	no	—
293	#88194	C₂³	1	1	yes	characteristic
294	#88194	C₂³	1	1	yes	characteristic
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88192	—	2	1	no	—
298	#88192	—	2	1	no	—
299	#88192	—	2	1	no	—
300	#88192	—	2	1	no	—
301	#88192	—	2	1	no	—
302	#88192	—	2	1	no	—
303	#88192	D₄	1	1	yes	characteristic
304	#88192	D₄	1	1	yes	characteristic
305	#88192	C₂³	1	1	yes	characteristic
306	#88192	C₂³	1	1	yes	characteristic
307	#88192	C₂³	1	1	yes	characteristic
308	#88191	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	—	2	1	no	—
311	#88191	—	2	1	no	—
312	#88191	—	2	1	no	—
313	#88191	—	2	1	no	—
314	#88191	D₄	1	1	yes	characteristic
315	#88191	D₄	1	1	yes	characteristic
316	#88190	—	2	1	no	—
317	#88190	—	2	1	no	—
318	#88190	—	2	1	no	—
319	#88190	C₂³	1	1	yes	characteristic
320	#88189	—	2	1	no	—
321	#88189	—	2	1	no	—
322	#88189	—	2	1	no	—
323	#88189	—	2	1	no	—
324	#88189	—	2	1	no	—
325	#88189	—	2	1	no	—
326	#88189	D₄	1	1	yes	characteristic
327	#88189	D₄	1	1	yes	characteristic
328	D₄×Dic₁₃	—	2	1	no	—
329	D₄×Dic₁₃	—	2	1	no	—
330	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6104	C₂³	1	1	yes	characteristic
334	C₂×#6104	C₂³	1	1	yes	characteristic
335	#88184	—	2	1	no	—
336	#88184	—	2	1	no	—
337	#88184	—	2	1	no	—
338	#88184	—	2	1	no	—
339	#88184	—	2	1	no	—
340	#88184	—	2	1	no	—
341	#88184	—	2	1	no	—
342	#88184	—	2	1	no	—
343	#88184	—	2	1	no	—
344	#88184	—	2	1	no	—
345	#88184	C₂³	1	1	yes	characteristic
346	#88184	C₂³	1	1	yes	characteristic
347	#88184	C₂³	1	1	yes	characteristic
348	#88184	C₂³	1	1	yes	characteristic
349	#88183	—	2	1	no	—
350	#88183	—	2	1	no	—
351	C₄×C₂²⋊D₁₃	—	2	1	no	—
352	C₄×C₂²⋊D₁₃	—	2	1	no	—
353	C₄×C₂²⋊D₁₃	—	2	1	no	—
354	C₄×C₂²⋊D₁₃	—	2	1	no	—
355	C₄×C₂²⋊D₁₃	—	2	1	no	—
356	C₄×C₂²⋊D₁₃	—	2	1	no	—
357	C₄×C₂²⋊D₁₃	—	2	1	no	—
358	C₄×C₂²⋊D₁₃	—	2	1	no	—
359	C₄×C₂²⋊D₁₃	—	2	1	no	—
360	C₄×C₂²⋊D₁₃	—	2	1	no	—
361	C₄×C₂²⋊D₁₃	—	2	1	no	—
362	C₄×C₂²⋊D₁₃	—	2	1	no	—
363	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
364	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
365	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
366	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
367	#88180	—	2	1	no	—
368	#88180	—	2	1	no	—
369	#88180	—	2	1	no	—
370	#88180	C₂³	1	1	yes	characteristic
371	#88180	C₂³	1	1	yes	characteristic
372	#88180	C₂³	1	1	yes	characteristic
373	#88178	—	2	1	no	—
374	#88178	—	2	1	no	—
375	#88178	C₂³	1	1	yes	characteristic
376	#88178	C₂³	1	1	yes	characteristic
377	#88178	C₂³	1	1	yes	characteristic
378	#88178	C₂³	1	1	yes	characteristic
379	C₂×#6101	—	2	1	no	—
380	C₂×#6099	C₂³	1	1	yes	characteristic
381	C₂²×#1055	C₂³	1	1	yes	characteristic
382	#88172	—	4	2	no	—
383	#88172	—	4	2	no	—
384	#88170	—	4	2	no	—
385	#88170	—	4	2	no	—
386	C₂×#6095	C₂³	1	1	yes	characteristic
387	C₂×#6095	C₂³	1	1	yes	characteristic
388	C₂×#6095	C₂³	1	1	yes	characteristic
389	C₂×#6095	C₂³	1	1	yes	characteristic
390	C₂×#6094	C₂³	1	1	yes	characteristic
391	C₂×#6094	C₂³	1	1	yes	characteristic
392	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
393	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
394	#88152	—	2	1	no	—
395	#88152	—	2	1	no	—
396	#88151	C₂³	1	1	yes	characteristic
397	#88151	C₂³	1	1	yes	characteristic
398	#88150	—	2	1	no	—
399	#88150	—	2	1	no	—
400	#88150	—	2	1	no	—
401	#88146	C₂³	1	1	yes	characteristic
402	C₄⋊C₄×D₁₃	—	2	1	no	—
403	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
404	#88144	—	2	1	no	—
405	#88144	C₂³	1	1	yes	characteristic
406	#88143	—	2	1	no	—
407	#88143	—	2	1	no	—
408	#88143	—	2	1	no	—
409	#88142	—	2	1	no	—
410	#88142	C₂³	1	1	yes	characteristic
411	#88141	—	2	1	no	—
412	#88141	C₂³	1	1	yes	characteristic
413	#88141	C₂³	1	1	yes	characteristic
414	#88139	—	2	1	no	—
415	#88139	—	2	1	no	—
416	#88137	—	2	1	no	—
417	#88135	—	2	1	no	—
418	#88135	—	2	1	no	—
419	#88135	—	2	1	no	—
420	C₂²⋊C₄×D₁₃	—	2	1	no	—
421	#88133	—	2	1	no	—
422	#88133	—	2	1	no	—
423	#88133	—	2	1	no	—
424	#88133	—	2	1	no	—
425	#88133	—	2	1	no	—
426	#88132	—	2	1	no	—
427	#88132	—	2	1	no	—
428	#88132	—	2	1	no	—
429	#88132	—	2	1	no	—
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88058	C₂³	1	1	yes	characteristic
468	#88057	C₂³	1	1	yes	characteristic
469	#88057	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88055	C₂³	1	1	yes	characteristic
475	#88055	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	#88054	C₂³	1	1	yes	characteristic
480	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88048	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#61615	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	4	no	—
502	C₁₃×#41	—	4	4	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	4	no	—
506	C₂×Q₈×C₁₃	—	2	2	no	—
507	C₂×Q₈×C₁₃	—	2	2	no	—
508	C₂×Q₈×C₁₃	—	2	1	no	—
509	C₂×Q₈×C₁₃	—	2	1	no	—
510	C₂×Q₈×C₁₃	—	2	1	no	—
511	C₂×Q₈×C₁₃	—	2	2	no	—
512	C₂×Q₈×C₁₃	—	2	2	no	—
513	C₂×Q₈×C₁₃	—	4	1	no	—
514	C₂×Q₈×C₁₃	—	4	1	no	—
515	C₂×Q₈×C₁₃	—	4	4	no	—
516	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	2	1	no	—
524	C₂×D₄×C₁₃	—	2	1	no	—
525	C₂×D₄×C₁₃	—	2	1	no	—
526	C₂×D₄×C₁₃	—	2	1	no	—
527	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₁₃	—	2	1	no	—
560	C₂²×Dic₁₃	—	2	1	no	—
561	C₂²×Dic₁₃	—	2	1	no	—
562	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
563	#6131	—	2	2	no	—
564	#6131	—	2	2	no	—
565	#6131	—	2	2	no	—
566	#6131	—	2	2	no	—
567	#6131	—	4	1	no	—
568	#6131	—	4	1	no	—
569	#6131	—	4	1	no	—
570	#6131	—	4	1	no	—
571	#6131	—	4	4	no	—
572	#6131	—	4	4	no	—
573	Q₈×D₁₃	—	4	1	no	—
574	Q₈×D₁₃	—	4	1	no	—
575	#6129	—	4	1	no	—
576	#6129	—	4	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	4	1	no	—
583	C₂×D₅₂	—	4	1	no	—
584	C₂×D₅₂	—	4	4	no	—
585	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
586	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	4	1	no	—
594	C₂×C₄×D₁₃	—	4	1	no	—
595	C₂×C₄×D₁₃	—	4	4	no	—
596	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	—	4	1	no	—
604	C₂×Dic₂₆	—	4	1	no	—
605	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
606	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
607	C₁₃×Q₁₆	—	2	2	no	—
608	C₁₃×Q₁₆	—	2	2	no	—
609	C₁₃×Q₁₆	—	4	1	no	—
610	C₁₃×SD₁₆	—	2	2	no	—
611	C₁₃×SD₁₆	—	2	2	no	—
612	C₁₃×SD₁₆	—	4	1	no	—
613	C₁₃×SD₁₆	—	4	1	no	—
614	C₁₃×D₈	—	4	1	no	—
615	C₁₃×M₁₆	—	4	1	no	—
616	C₂×C₈×C₁₃	—	4	1	no	—
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	#6107	—	2	2	no	—
649	#6107	—	2	2	no	—
650	#6107	—	2	2	no	—
651	#6107	—	2	2	no	—
652	#6107	—	4	1	no	—
653	#6107	—	4	1	no	—
654	#6106	—	4	1	no	—
655	#6106	—	4	1	no	—
656	#6105	—	4	1	no	—
657	#6105	—	4	1	no	—
658	#6104	—	4	1	no	—
659	#6104	—	4	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	#6103	C₂×D₄	1	1	yes	characteristic
677	#6103	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
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	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	C₂×D₄	1	1	yes	characteristic
707	#6101	C₂×D₄	1	1	yes	characteristic
708	#6101	C₂×D₄	1	1	yes	characteristic
709	#6101	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
722	#6099	—	4	1	no	—
723	C₂×#1055	—	4	1	no	—
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	#6095	—	4	1	no	—
729	#6095	—	4	1	no	—
730	#6095	—	4	1	no	—
731	#6095	—	4	1	no	—
732	#6094	—	4	1	no	—
733	#6094	—	4	1	no	—
734	C₈×D₁₃	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	#3541	—	13	1	no	—
737	#3487	—	13	1	no	—
738	#3333	—	13	1	no	—
739	#3326	—	13	1	no	—
740	#3317	—	13	1	no	—
741	#3316	—	13	1	no	—
742	#3313	—	13	1	no	—
743	#3309	—	13	1	no	—
744	#3304	—	13	1	no	—
745	#3300	—	13	1	no	—
746	#3285	—	13	1	no	—
747	#3284	—	13	1	no	—
748	#3278	—	13	1	no	—
749	#3277	—	13	1	no	—
750	#3271	—	13	1	no	—
751	#3271	—	13	1	no	—
752	#3270	—	13	1	no	—
753	#3269	—	13	1	no	—
754	#3224	—	13	1	no	—
755	#3222	—	13	1	no	—
756	#3200	—	13	1	no	—
757	#3198	—	13	1	no	—
758	#3197	—	13	1	no	—
759	#3190	—	13	1	no	—
760	#3127	—	13	1	no	—
761	#3121	—	13	1	no	—
762	#3013	D₁₃	1	1	yes	characteristic, complemented
763	#3011	—	13	1	no	—
764	#3007	—	13	1	no	—
765	#3002	—	13	1	no	—
766	#2976	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	—	2	1	no	—
773	C₂²×D₁₃	—	2	1	no	—
774	C₂²×D₁₃	—	4	1	no	—
775	C₂²×D₁₃	—	4	1	no	—
776	C₂²×D₁₃	—	4	1	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	8	1	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
782	Q₈×C₁₃	—	2	4	no	—
783	Q₈×C₁₃	—	2	1	no	—
784	Q₈×C₁₃	—	2	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	4	1	no	—
790	Q₈×C₁₃	—	4	2	no	—
791	Q₈×C₁₃	—	4	2	no	—
792	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
793	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
794	D₄×C₁₃	—	2	1	no	—
795	D₄×C₁₃	—	2	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	4	1	no	—
799	D₄×C₁₃	—	4	1	no	—
800	D₄×C₁₃	—	4	1	no	—
801	D₄×C₁₃	—	4	2	no	—
802	D₄×C₁₃	—	4	2	no	—
803	D₄×C₁₃	—	4	2	no	—
804	D₄×C₁₃	—	8	1	no	—
805	D₄×C₁₃	—	8	1	no	—
806	D₄×C₁₃	—	8	1	no	—
807	C₂×C₄×C₁₃	—	2	4	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	4	2	no	—
824	C₂×C₄×C₁₃	—	4	2	no	—
825	C₂×C₄×C₁₃	—	8	1	no	—
826	C₂×C₄×C₁₃	—	8	1	no	—
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
831	C₂²⋊D₁₃	—	4	1	no	—
832	C₂²⋊D₁₃	—	4	1	no	—
833	C₂²⋊D₁₃	—	4	1	no	—
834	C₂²⋊D₁₃	—	4	1	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	8	1	no	—
837	C₂²⋊D₁₃	—	8	1	no	—
838	C₂²⋊D₁₃	—	8	1	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂²⋊D₁₃	—	8	1	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	2	1	no	—
853	C₂×Dic₁₃	—	4	1	no	—
854	C₂×Dic₁₃	—	8	1	no	—
855	C₂×Dic₁₃	—	8	1	no	—
856	C₂×Dic₁₃	—	8	1	no	—
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	D₅₂	—	2	1	no	—
864	D₅₂	—	2	1	no	—
865	D₅₂	—	2	1	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	4	2	no	—
868	D₅₂	—	4	2	no	—
869	D₅₂	—	4	2	no	—
870	D₅₂	—	4	2	no	—
871	D₅₂	—	4	2	no	—
872	C₄×D₁₃	—	2	1	no	—
873	C₄×D₁₃	—	2	1	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	4	1	no	—
877	C₄×D₁₃	—	4	1	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	4	2	no	—
881	C₄×D₁₃	—	4	2	no	—
882	C₄×D₁₃	—	8	1	no	—
883	C₄×D₁₃	—	8	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	2	1	no	—
888	Dic₂₆	—	8	1	no	—
889	Dic₂₆	—	8	1	no	—
890	Dic₂₆	—	8	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	C₈×C₁₃	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	#1055	—	2	1	no	—
899	C₂×2₋¹⁺⁴	C₂×D₁₃	1	1	yes	characteristic
900	C₂²×#41	—	13	1	no	—
901	C₂×#137	—	13	1	no	—
902	C₂×#137	—	13	1	no	—
903	C₂×#137	—	13	1	no	—
904	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
905	C₂×#135	—	13	1	no	—
906	C₂×#135	—	13	1	no	—
907	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
908	C₂²×Q₁₆	—	13	1	no	—
909	#563	—	26	1	no	—
910	#562	—	26	1	no	—
911	#556	—	13	1	no	—
912	#554	—	13	1	no	—
913	#554	—	26	1	no	—
914	#553	—	13	1	no	—
915	#553	—	26	1	no	—
916	#552	—	13	1	no	—
917	#550	—	13	1	no	—
918	#550	—	13	1	no	—
919	#550	—	13	1	no	—
920	#550	—	13	1	no	—
921	#550	—	26	1	no	—
922	#550	—	26	1	no	—
923	D₄×Q₈	—	13	1	no	—
924	#548	—	13	1	no	—
925	#548	—	13	1	no	—
926	#548	—	13	1	no	—
927	#548	—	13	1	no	—
928	#548	—	13	1	no	—
929	#548	—	13	1	no	—
930	#548	—	26	1	no	—
931	#548	—	26	1	no	—
932	#547	—	13	1	no	—
933	#542	—	13	1	no	—
934	#542	—	26	1	no	—
935	#541	—	13	1	no	—
936	#539	—	26	1	no	—
937	#538	—	26	1	no	—
938	#538	—	26	1	no	—
939	#537	C₂×D₁₃	1	1	yes	characteristic
940	#536	—	13	1	no	—
941	#535	—	13	1	no	—
942	#535	—	13	1	no	—
943	#535	—	26	1	no	—
944	#535	—	26	1	no	—
945	#525	—	13	1	no	—
946	#525	—	13	1	no	—
947	#525	—	13	1	no	—
948	#525	—	26	1	no	—
949	#525	—	26	1	no	—
950	C₂×C₂²⋊Q₈	—	13	1	no	—
951	#519	—	13	1	no	—
952	#497	—	13	1	no	—
953	#496	—	13	1	no	—
954	#495	—	13	1	no	—
955	#492	—	13	1	no	—
956	#490	—	13	1	no	—
957	#489	—	13	1	no	—
958	#488	—	13	1	no	—
959	#486	—	13	1	no	—
960	#485	—	13	1	no	—
961	#485	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#483	—	13	1	no	—
965	#482	—	13	1	no	—
966	#482	—	13	1	no	—
967	#482	—	13	1	no	—
968	#482	—	13	1	no	—
969	#481	—	13	1	no	—
970	#480	—	13	1	no	—
971	#480	—	13	1	no	—
972	#479	—	13	1	no	—
973	#479	—	13	1	no	—
974	#477	—	13	1	no	—
975	#475	—	13	1	no	—
976	#470	—	13	1	no	—
977	#469	—	13	1	no	—
978	#469	—	13	1	no	—
979	#468	—	13	1	no	—
980	#468	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#466	—	13	1	no	—
987	#465	—	13	1	no	—
988	#465	—	13	1	no	—
989	#465	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	—	13	1	no	—
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	—	13	1	no	—
995	#464	—	13	1	no	—
996	#464	—	13	1	no	—
997	#463	—	13	1	no	—
998	#462	—	13	1	no	—
999	#462	—	13	1	no	—
1000	#460	—	13	1	no	—
1001	#460	—	13	1	no	—
1002	#460	—	13	1	no	—
1003	#459	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#452	—	13	1	no	—
1008	#452	—	13	1	no	—
1009	#452	—	13	1	no	—
1010	#452	—	13	1	no	—
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	13	1	no	—
1015	#452	C₂×D₁₃	1	1	yes	characteristic
1016	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	C₂×D₁₃	1	1	yes	characteristic
1023	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#450	—	13	1	no	—
1025	#450	—	13	1	no	—
1026	#450	—	13	1	no	—
1027	#449	—	13	1	no	—
1028	#449	—	13	1	no	—
1029	#449	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	C₂×D₁₃	1	1	yes	characteristic
1033	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	C₂×D₁₃	1	1	yes	characteristic
1038	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	#447	—	13	1	no	—
1040	#441	—	13	1	no	—
1041	#441	—	13	1	no	—
1042	#441	—	13	1	no	—
1043	#440	—	13	1	no	—
1044	C₄×Q₁₆	—	13	1	no	—
1045	C₄×Q₁₆	—	13	1	no	—
1046	C₄×Q₁₆	—	13	1	no	—
1047	C₄×SD₁₆	—	13	1	no	—
1048	#436	—	13	1	no	—
1049	#436	—	13	1	no	—
1050	#435	—	13	1	no	—
1051	#435	—	13	1	no	—
1052	#435	—	13	1	no	—
1053	#435	—	13	1	no	—
1054	C₈×D₄	—	13	1	no	—
1055	C₈×D₄	—	13	1	no	—
1056	#433	—	13	1	no	—
1057	#433	—	13	1	no	—
1058	#419	—	13	1	no	—
1059	#417	—	13	1	no	—
1060	#417	—	13	1	no	—
1061	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1062	#416	—	13	1	no	—
1063	#416	—	13	1	no	—
1064	#416	—	13	1	no	—
1065	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	#408	—	13	1	no	—
1067	#408	C₂×D₁₃	1	1	yes	characteristic
1068	#407	—	13	1	no	—
1069	C₂×C₂²⋊C₈	—	13	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	2	1	no	—
1088	C₂×D₁₃	—	2	1	no	—
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	2	1	no	—
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	8	2	no	—
1099	C₂×D₁₃	—	8	4	no	—
1100	C₄×C₁₃	—	2	1	no	—
1101	C₄×C₁₃	—	2	2	no	—
1102	C₄×C₁₃	—	2	2	no	—
1103	C₄×C₁₃	—	2	1	no	—
1104	C₄×C₁₃	—	2	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	2	1	no	—
1115	Dic₁₃	—	2	1	no	—
1116	Dic₁₃	—	2	1	no	—
1117	Dic₁₃	—	4	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	2₋¹⁺⁴	—	4	2	no	—
1124	2₋¹⁺⁴	—	4	2	no	—
1125	C₂×#41	—	2	1	no	—
1126	C₂×#41	—	2	1	no	—
1127	C₂×#41	—	2	1	no	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	13	1	no	—
1131	C₂×#41	—	13	1	no	—
1132	C₂×#41	—	13	1	no	—
1133	C₂×#41	—	26	1	no	—
1134	C₂×#41	—	26	1	no	—
1135	C₂×#41	—	52	2	no	—
1136	C₂×#41	—	52	2	no	—
1137	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂²×Q₈	—	2	1	no	—
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	13	1	no	—
1145	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂²×D₄	—	13	1	no	—
1149	C₂²×D₄	—	26	1	no	—
1150	C₂³×C₄	—	13	1	no	—
1151	C₂³×C₄	—	26	1	no	—
1152	#137	—	4	2	no	—
1153	#137	—	52	2	no	—
1154	#137	—	52	2	no	—
1155	#137	—	52	2	no	—
1156	#135	—	4	2	no	—
1157	#135	—	52	2	no	—
1158	#135	—	52	2	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	13	1	no	—
1163	C₂×Q₁₆	—	13	1	no	—
1164	C₂×Q₁₆	—	13	1	no	—
1165	C₂×Q₁₆	—	52	2	no	—
1166	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×D₈	—	13	1	no	—
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1184	C₂×M₁₆	—	13	1	no	—
1185	C₂×M₁₆	—	13	1	no	—
1186	C₂×M₁₆	—	13	1	no	—
1187	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂²×C₈	—	13	1	no	—
1189	C₂²×C₈	—	13	1	no	—
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄⋊Q₈	—	13	1	no	—
1193	C₄⋊Q₈	—	13	1	no	—
1194	C₄⋊Q₈	—	26	1	no	—
1195	C₄⋊Q₈	—	26	1	no	—
1196	#127	—	13	1	no	—
1197	#127	—	13	1	no	—
1198	#127	—	26	1	no	—
1199	#127	—	26	1	no	—
1200	#127	—	26	1	no	—
1201	#127	—	26	1	no	—
1202	#127	—	26	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#125	—	13	1	no	—
1211	#125	—	26	1	no	—
1212	#125	—	26	1	no	—
1213	#125	—	26	1	no	—
1214	#125	—	26	1	no	—
1215	#124	—	13	1	no	—
1216	#124	—	13	1	no	—
1217	#124	—	13	1	no	—
1218	#124	—	26	1	no	—
1219	#124	—	26	1	no	—
1220	#124	—	26	1	no	—
1221	#124	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#123	—	13	1	no	—
1229	#123	—	13	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	C₂²⋊Q₈	—	2	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	#121	—	2	1	no	—
1267	#121	—	2	1	no	—
1268	#121	—	2	1	no	—
1269	#121	—	13	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	C₂²×D₁₃	1	1	yes	characteristic
1297	#121	C₂²×D₁₃	1	1	yes	characteristic
1298	#120	—	13	1	no	—
1299	#120	—	13	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	C₄×Q₈	—	13	1	no	—
1307	C₄×Q₈	—	13	1	no	—
1308	C₄×Q₈	—	13	1	no	—
1309	C₄×Q₈	—	13	1	no	—
1310	C₄×Q₈	—	13	1	no	—
1311	C₄×Q₈	—	13	1	no	—
1312	C₄×Q₈	—	13	1	no	—
1313	C₄×Q₈	—	26	1	no	—
1314	C₄×Q₈	—	26	1	no	—
1315	C₄×Q₈	—	26	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	—	26	1	no	—
1338	#117	—	13	1	no	—
1339	#117	—	13	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	13	1	no	—
1342	#117	—	26	1	no	—
1343	#117	—	26	1	no	—
1344	#117	—	26	1	no	—
1345	C₂×C₄⋊C₄	—	13	1	no	—
1346	C₂×C₄⋊C₄	—	26	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	#107	—	13	1	no	—
1351	#107	—	13	1	no	—
1352	#107	—	13	1	no	—
1353	#107	—	13	1	no	—
1354	#106	—	13	1	no	—
1355	#106	—	13	1	no	—
1356	#106	—	13	1	no	—
1357	#106	—	13	1	no	—
1358	C₄⋊C₈	—	13	1	no	—
1359	C₄⋊C₈	—	13	1	no	—
1360	C₄⋊C₈	—	13	1	no	—
1361	C₄⋊C₈	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	C₂²×D₁₃	1	1	yes	characteristic
1375	#103	C₂²×D₁₃	1	1	yes	characteristic
1376	#103	C₂²×D₁₃	1	1	yes	characteristic
1377	#103	C₂²×D₁₃	1	1	yes	characteristic
1378	#103	C₂²×D₁₃	1	1	yes	characteristic
1379	#103	C₂²×D₁₃	1	1	yes	characteristic
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	C₂²×D₁₃	1	1	yes	characteristic
1393	#102	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	—	13	1	no	—
1402	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1403	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1404	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1405	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1406	#97	—	13	1	no	—
1407	#97	—	13	1	no	—
1408	C₄×C₈	—	13	1	no	—
1409	C₄×C₈	—	13	1	no	—
1410	C₂×C₁₃	—	4	1	no	—
1411	C₂×C₁₃	—	4	1	no	—
1412	C₂×C₁₃	—	4	1	no	—
1413	C₂×C₁₃	—	8	1	no	—
1414	C₂×C₁₃	—	8	1	no	—
1415	C₂×C₁₃	#3484	1	1	yes	characteristic
1416	C₂×C₁₃	#3584	1	1	yes	characteristic
1417	C₂×C₁₃	#3586	1	1	yes	characteristic
1418	D₁₃	—	4	1	no	—
1419	D₁₃	—	4	1	no	—
1420	D₁₃	—	8	1	no	—
1421	D₁₃	—	8	1	no	—
1422	C₂⁴	—	13	1	no	—
1423	C₂⁴	—	26	1	no	—
1424	#41	—	2	2	no	—
1425	#41	—	2	2	no	—
1426	#41	—	4	1	no	—
1427	#41	—	4	1	no	—
1428	#41	—	4	1	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	4	no	—
1433	#41	—	4	4	no	—
1434	#41	—	4	1	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	4	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	26	2	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	1	no	—
1443	#41	—	52	1	no	—
1444	#41	—	52	1	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	#41	—	52	4	no	—
1449	C₂×Q₈	—	2	2	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	2	1	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	2	no	—
1455	C₂×Q₈	—	2	2	no	—
1456	C₂×Q₈	—	4	1	no	—
1457	C₂×Q₈	—	4	1	no	—
1458	C₂×Q₈	—	4	4	no	—
1459	C₂×Q₈	—	13	1	no	—
1460	C₂×Q₈	—	13	1	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	—	26	1	no	—
1463	C₂×Q₈	—	26	1	no	—
1464	C₂×Q₈	—	52	1	no	—
1465	C₂×Q₈	—	52	1	no	—
1466	C₂×Q₈	—	52	1	no	—
1467	C₂×Q₈	—	52	1	no	—
1468	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1469	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1470	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1471	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	13	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	52	1	no	—
1503	C₂×D₄	—	52	1	no	—
1504	C₂×D₄	—	52	4	no	—
1505	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1506	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1507	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1508	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1510	C₂²×C₄	—	2	1	no	—
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	13	1	no	—
1519	C₂²×C₄	—	13	1	no	—
1520	C₂²×C₄	—	13	1	no	—
1521	C₂²×C₄	—	13	1	no	—
1522	C₂²×C₄	—	13	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	52	1	no	—
1533	C₂²×C₄	—	52	1	no	—
1534	C₂²×C₄	—	52	4	no	—
1535	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1538	Q₁₆	—	2	2	no	—
1539	Q₁₆	—	2	2	no	—
1540	Q₁₆	—	4	1	no	—
1541	Q₁₆	—	26	2	no	—
1542	Q₁₆	—	26	2	no	—
1543	Q₁₆	—	26	2	no	—
1544	Q₁₆	—	26	2	no	—
1545	Q₁₆	—	52	1	no	—
1546	Q₁₆	—	52	1	no	—
1547	SD₁₆	—	2	2	no	—
1548	SD₁₆	—	2	2	no	—
1549	SD₁₆	—	4	1	no	—
1550	SD₁₆	—	4	1	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	SD₁₆	—	52	1	no	—
1556	SD₁₆	—	52	1	no	—
1557	SD₁₆	—	52	1	no	—
1558	SD₁₆	—	52	1	no	—
1559	D₈	—	4	1	no	—
1560	D₈	—	52	1	no	—
1561	D₈	—	52	1	no	—
1562	M₁₆	—	4	1	no	—
1563	M₁₆	—	52	1	no	—
1564	M₁₆	—	52	1	no	—
1565	M₁₆	—	52	1	no	—
1566	C₂×C₈	—	4	1	no	—
1567	C₂×C₈	—	13	1	no	—
1568	C₂×C₈	—	13	1	no	—
1569	C₂×C₈	—	13	1	no	—
1570	C₂×C₈	—	13	1	no	—
1571	C₂×C₈	—	52	1	no	—
1572	C₂×C₈	—	52	1	no	—
1573	C₂×C₈	—	52	1	no	—
1574	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1575	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1576	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1577	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	13	1	no	—
1586	C₄⋊C₄	—	13	1	no	—
1587	C₄⋊C₄	—	13	1	no	—
1588	C₄⋊C₄	—	13	1	no	—
1589	C₄⋊C₄	—	13	1	no	—
1590	C₄⋊C₄	—	13	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	13	1	no	—
1621	C₂²⋊C₄	—	13	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	13	1	no	—
1624	C₂²⋊C₄	—	13	1	no	—
1625	C₂²⋊C₄	—	13	1	no	—
1626	C₂²⋊C₄	—	13	1	no	—
1627	C₂²⋊C₄	—	13	1	no	—
1628	C₂²⋊C₄	—	13	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₄²	—	13	1	no	—
1656	C₄²	—	13	1	no	—
1657	C₄²	—	26	1	no	—
1658	C₄²	—	26	1	no	—
1659	C₄²	—	26	1	no	—
1660	C₄²	—	26	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	—	26	1	no	—
1665	C₄²	—	26	1	no	—
1666	C₄²	—	26	1	no	—
1667	C₁₃	#61615	1	1	yes	characteristic, complemented, Sylow
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	13	1	no	—
1671	C₂³	—	13	1	no	—
1672	C₂³	—	26	1	no	—
1673	C₂³	—	26	1	no	—
1674	C₂³	—	52	1	no	—
1675	C₂³	—	52	1	no	—
1676	C₂³	—	52	1	no	—
1677	C₂³	—	52	2	no	—
1678	C₂³	—	104	1	no	—
1679	C₂³	—	104	1	no	—
1680	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1681	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1682	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1683	Q₈	—	2	4	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	4	1	no	—
1691	Q₈	—	4	2	no	—
1692	Q₈	—	4	2	no	—
1693	Q₈	—	26	1	no	—
1694	Q₈	—	26	1	no	—
1695	Q₈	—	26	1	no	—
1696	Q₈	—	26	1	no	—
1697	Q₈	—	104	1	no	—
1698	Q₈	—	104	1	no	—
1699	Q₈	—	104	1	no	—
1700	Q₈	#88251	1	2	yes	—
1701	Q₈	#88251	1	2	yes	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	4	1	no	—
1707	D₄	—	4	1	no	—
1708	D₄	—	4	1	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	4	2	no	—
1711	D₄	—	4	2	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	26	1	no	—
1716	D₄	—	26	1	no	—
1717	D₄	—	26	1	no	—
1718	D₄	—	26	1	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	2	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	52	1	no	—
1725	D₄	—	52	1	no	—
1726	D₄	—	52	1	no	—
1727	D₄	—	52	1	no	—
1728	D₄	—	52	2	no	—
1729	D₄	—	104	1	no	—
1730	D₄	—	104	1	no	—
1731	D₄	—	104	1	no	—
1732	D₄	—	104	1	no	—
1733	D₄	—	104	1	no	—
1734	D₄	—	104	1	no	—
1735	D₄	—	104	1	no	—
1736	D₄	—	104	1	no	—
1737	D₄	—	104	1	no	—
1738	D₄	—	104	1	no	—
1739	D₄	—	104	1	no	—
1740	C₂×C₄	—	2	4	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	2	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	8	1	no	—
1760	C₂×C₄	—	13	1	no	—
1761	C₂×C₄	—	13	1	no	—
1762	C₂×C₄	—	13	1	no	—
1763	C₂×C₄	—	13	1	no	—
1764	C₂×C₄	—	13	1	no	—
1765	C₂×C₄	—	13	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	52	1	no	—
1777	C₂×C₄	—	52	1	no	—
1778	C₂×C₄	—	52	2	no	—
1779	C₂×C₄	—	52	2	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	52	2	no	—
1782	C₂×C₄	—	52	1	no	—
1783	C₂×C₄	—	104	1	no	—
1784	C₂×C₄	—	104	1	no	—
1785	C₂×C₄	—	104	1	no	—
1786	C₂×C₄	—	104	1	no	—
1787	C₂×C₄	—	104	1	no	—
1788	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1790	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	26	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₈	—	26	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	26	1	no	—
1816	C₂²	—	26	1	no	—
1817	C₂²	—	26	1	no	—
1818	C₂²	—	26	1	no	—
1819	C₂²	—	26	1	no	—
1820	C₂²	—	26	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	52	1	no	—
1824	C₂²	—	52	1	no	—
1825	C₂²	—	52	1	no	—
1826	C₂²	—	52	1	no	—
1827	C₂²	—	104	2	no	—
1828	C₂²	—	104	4	no	—
1829	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1830	C₄	—	2	2	no	—
1831	C₄	—	2	2	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	26	1	no	—
1840	C₄	—	26	1	no	—
1841	C₄	—	26	1	no	—
1842	C₄	—	26	1	no	—
1843	C₄	—	26	1	no	—
1844	C₄	—	26	1	no	—
1845	C₄	—	52	1	no	—
1846	C₄	—	52	1	no	—
1847	C₄	—	52	1	no	—
1848	C₄	—	52	1	no	—
1849	C₄	—	52	1	no	—
1850	C₄	—	52	1	no	—
1851	C₄	C₂×#88251	1	1	yes	characteristic
1852	C₄	C₂×#88251	1	1	yes	characteristic
1853	C₂	—	4	1	no	—
1854	C₂	—	4	1	no	—
1855	C₂	—	4	1	no	—
1856	C₂	—	8	1	no	—
1857	C₂	—	8	1	no	—
1858	C₂	—	52	1	no	—
1859	C₂	—	52	1	no	—
1860	C₂	—	104	1	no	—
1861	C₂	—	104	1	no	—
1862	C₂	#13128465	1	1	yes	characteristic
1863	C₂	#13129608	1	1	yes	characteristic
1864	C₂	#13129621	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×#3013	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3013	D₁₃
hypocenter	C₁₃	#61615
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3013

Complements

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

N	H ≅ G/N	type
1. #13129117	C₂	semidirect
2. #13128491	C₂	semidirect
3. #13127170	C₂	semidirect
4. #13127093	C₂	semidirect
5. #13126963	C₂	semidirect
6. #13126943	C₂	semidirect
7. #13126895	C₂	semidirect
8. #13126846	C₂	semidirect
9. #13126768	C₂	semidirect
10. #13126719	C₂	semidirect
11. #13126570	C₂	semidirect
12. #13126560	C₂	semidirect
13. #13126495	C₂	semidirect
14. #13126487	C₂	semidirect
15. #13126421	C₂	semidirect
16. #13126419	C₂	semidirect
17. #13126410	C₂	semidirect
18. #13126385	C₂	semidirect
19. #13125928	C₂	semidirect
20. #13125906	C₂	semidirect
21. #13125709	C₂	semidirect
22. #13125682	C₂	semidirect
23. #13125675	C₂	semidirect
24. #13125615	C₂	semidirect
25. #13125130	C₂	semidirect
26. #13125058	C₂	semidirect
27. #13124131	C₂	semidirect
28. #13124095	C₂	semidirect
29. #13124053	C₂	semidirect
30. #13123879	C₂	semidirect
31. C₁₃×#3013	C₂	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
43. #11719536	C₂²	semidirect
53. #11719529	C₂²	semidirect
54. C₂×#88205	C₂²	semidirect
62. C₂²×#6107	C₂²	semidirect
68. #11719346	C₂²	semidirect
70. #11719337	C₂²	semidirect
75. #11719319	C₂²	semidirect
82. #11719303	C₂²	semidirect
83. #11719218	C₂²	semidirect
84. #11719216	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
88. C₁₃×#451	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
92. C₁₃×#448	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₂×C₁₃×#103	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718900	C₂²	semidirect
100. #11718899	C₂²	semidirect
101. #11718899	C₂²	semidirect
103. #11718894	C₂²	semidirect
106. #11718889	C₂²	semidirect
107. #11718889	C₂²	semidirect
108. #11718886	C₂²	semidirect
109. #11718851	C₂²	semidirect
110. #11718849	C₂²	semidirect
113. #11718847	C₂²	semidirect
114. #11718846	C₂²	semidirect
115. #11718845	C₂²	semidirect
116. Q₁₆×Dic₁₃	C₂²	semidirect
117. #11718843	C₂²	semidirect
118. #11718843	C₂²	semidirect
119. #11718836	C₂²	semidirect
120. #11718835	C₂²	semidirect
121. #11718834	C₂²	semidirect
124. #11718832	C₂²	semidirect
125. #11718831	C₂²	semidirect
126. #11718829	C₂²	semidirect
127. #11718827	C₂²	semidirect
128. #11718827	C₂²	semidirect
129. #11718826	C₂²	semidirect
130. #11718825	C₂²	semidirect
131. #11718824	C₂²	semidirect
132. SD₁₆×Dic₁₃	C₂²	semidirect
133. #11718820	C₂²	semidirect
134. #11718819	C₂²	semidirect
135. #11718815	C₂²	semidirect
136. #11718811	C₂²	semidirect
137. #11718795	C₂²	semidirect
138. #11718795	C₂²	semidirect
139. #11718789	C₂²	semidirect
140. #11718788	C₂²	semidirect
141. #11718775	C₂²	semidirect
142. #11718775	C₂²	semidirect
143. #11718772	C₂²	semidirect
144. C₈×C₂²⋊D₁₃	C₂²	semidirect
145. #11718710	C₂²	semidirect
146. #11718709	C₂²	semidirect
149. #11718700	C₂²	semidirect
150. #11718699	C₂²	semidirect
153. #11718629	C₂²	semidirect
154. #11718628	C₂²	semidirect
155. #11718477	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718474	C₂²	semidirect
162. #11718466	C₂²	semidirect
167. #11718461	C₂²	semidirect
168. #11718460	C₂²	semidirect
169. #11718459	C₂²	semidirect
170. #11718459	C₂²	semidirect
171. #11718457	C₂²	semidirect
172. #11718456	C₂²	semidirect
173. #11718455	C₂²	semidirect
174. #11718452	C₂²	semidirect
175. #11718451	C₂²	semidirect
176. #11718451	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718445	C₂²	semidirect
180. #11718441	C₂²	semidirect
181. #11718439	C₂²	semidirect
182. #11718435	C₂²	semidirect
183. #11718425	C₂²	semidirect
184. #11718423	C₂²	semidirect
185. #11718423	C₂²	semidirect
186. #11718421	C₂²	semidirect
187. #11718399	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718398	C₂²	semidirect
190. #11718398	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718390	C₂²	semidirect
195. #11718389	C₂²	semidirect
197. #11718386	C₂²	semidirect
762. #3013	D₁₃	semidirect
904. C₂×#137	C₂×D₁₃	semidirect
907. C₂×#135	C₂×D₁₃	semidirect
1016. #452	C₂×D₁₃	semidirect
1023. #451	C₂×D₁₃	semidirect
1033. #449	C₂×D₁₃	semidirect
1038. #448	C₂×D₁₃	semidirect
1061. #417	C₂×D₁₃	semidirect
1065. C₂×#103	C₂×D₁₃	semidirect
1667. C₁₃	#61615	semidirect

Maximal subgroups

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

subgroup	index
#13129117	2
#13128491	2
#13127170	2
#13127093	2
#13126963	2
#13126943	2
#13126895	2
#13126846	2
#13126768	2
#13126719	2
#13126570	2
#13126560	2
#13126495	2
#13126487	2
#13126421	2
#13126419	2
#13126410	2
#13126385	2
#13125928	2
#13125906	2
#13125709	2
#13125682	2
#13125675	2
#13125615	2
#13125130	2
#13125058	2
#13124131	2
#13124095	2
#13124053	2
#13123879	2
C₁₃×#3013	2
#61615	13