Subgroups — #16740618

Order 3328.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128581	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128475	C₂	1	1	yes	maximal, characteristic
3	#13127151	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127145	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127057	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127050	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126939	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126938	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126932	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126928	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126923	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126914	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126868	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126866	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126751	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126664	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125196	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124802	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124754	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124660	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124486	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124463	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124361	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124110	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123690	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123556	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123358	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic
37	#11719529	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×#88155	C₂²	1	1	yes	characteristic
42	C₂²×#6094	C₂²	1	1	yes	characteristic, complemented
43	#11719435	C₂²	1	1	yes	characteristic, complemented
44	#11719434	C₂²	1	1	yes	characteristic, complemented
45	#11719431	C₂²	1	1	yes	characteristic
46	#11719429	C₂²	1	1	yes	characteristic
47	#11719413	—	2	1	no	—
48	#11719411	—	2	1	no	—
49	#11719410	—	2	1	no	—
50	#11719406	—	2	1	no	—
51	#11719384	—	2	1	no	—
52	#11719374	—	2	1	no	—
53	#11719360	—	2	1	no	—
54	#11719359	—	2	1	no	—
55	#11719358	—	2	1	no	—
56	D₁₃×#123	—	2	1	no	—
57	#11719344	C₂²	1	1	yes	characteristic, complemented
58	#11719340	C₂²	1	1	yes	characteristic, complemented
59	#11719336	C₂²	1	1	yes	characteristic
60	#11719335	C₂²	1	1	yes	characteristic
61	#11719333	C₂²	1	1	yes	characteristic
62	#11719333	C₂²	1	1	yes	characteristic
63	#11719332	C₂²	1	1	yes	characteristic
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	#11719315	—	2	1	no	—
66	#11719310	—	2	1	no	—
67	#11719286	—	2	1	no	—
68	#11719286	C₂²	1	1	yes	characteristic, complemented
69	#11719283	—	2	1	no	—
70	#11719277	C₂²	1	1	yes	characteristic, complemented
71	#11719259	C₂²	1	1	yes	characteristic
72	#11719255	C₂²	1	1	yes	characteristic
73	#11719252	C₂²	1	1	yes	characteristic
74	#11719250	C₂²	1	1	yes	characteristic
75	#11719246	C₂²	1	1	yes	characteristic, complemented
76	#11719238	C₂²	1	1	yes	characteristic, complemented
77	#11719234	C₂²	1	1	yes	characteristic, complemented
78	#11719228	C₂²	1	1	yes	characteristic
79	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
80	#11719212	—	2	1	no	—
81	C₂×#88148	—	2	1	no	—
82	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718849	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718848	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	#11718843	C₂²	1	1	yes	characteristic, complemented
105	#11718834	C₂²	1	1	yes	characteristic, complemented
106	#11718830	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718777	C₂²	1	1	yes	characteristic, complemented
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	#11718774	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718751	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718745	C₂²	1	1	yes	characteristic, complemented
117	#11718743	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718712	C₂²	1	1	yes	characteristic, complemented
121	#11718709	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718707	C₂²	1	1	yes	characteristic, complemented
124	#11718706	C₂²	1	1	yes	characteristic, complemented
125	#11718705	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718662	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718551	C₂²	1	1	yes	characteristic, complemented
137	#11718548	C₂²	1	1	yes	characteristic, complemented
138	#11718547	C₂²	1	1	yes	characteristic, complemented
139	#11718545	C₂²	1	1	yes	characteristic, complemented
140	#11718543	C₂²	1	1	yes	characteristic, complemented
141	#11718542	C₂²	1	1	yes	characteristic, complemented
142	#11718541	C₂²	1	1	yes	characteristic, complemented
143	#11718528	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718497	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718477	C₂²	1	1	yes	characteristic, complemented
154	#11718477	C₂²	1	1	yes	characteristic, complemented
155	#11718476	C₂²	1	1	yes	characteristic, complemented
156	#11718473	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic, complemented
158	#11718471	C₂²	1	1	yes	characteristic, complemented
159	#11718470	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic, complemented
161	#11718466	C₂²	1	1	yes	characteristic, complemented
162	#11718465	C₂²	1	1	yes	characteristic
163	#11718465	C₂²	1	1	yes	characteristic
164	#11718465	C₂²	1	1	yes	characteristic, complemented
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718464	C₂²	1	1	yes	characteristic, complemented
167	#11718464	C₂²	1	1	yes	characteristic, complemented
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	#11718463	C₂²	1	1	yes	characteristic, complemented
170	#11718463	C₂²	1	1	yes	characteristic, complemented
171	#11718463	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
173	#11718461	C₂²	1	1	yes	characteristic, complemented
174	#11718459	C₂²	1	1	yes	characteristic, complemented
175	#11718458	C₂²	1	1	yes	characteristic, complemented
176	#11718456	C₂²	1	1	yes	characteristic, complemented
177	#11718454	C₂²	1	1	yes	characteristic, complemented
178	#11718453	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic, complemented
180	#11718437	C₂²	1	1	yes	characteristic, complemented
181	#11718432	C₂²	1	1	yes	characteristic, complemented
182	#11718432	C₂²	1	1	yes	characteristic, complemented
183	#11718431	C₂²	1	1	yes	characteristic
184	#11718431	C₂²	1	1	yes	characteristic
185	#11718431	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
188	#11718427	C₂²	1	1	yes	characteristic, complemented
189	#11718422	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718349	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#88256	—	2	4	no	—
206	#88256	—	4	2	no	—
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×#6127	—	2	1	no	—
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂²×D₅₂	—	2	1	no	—
226	C₂²×D₅₂	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#126	—	2	1	no	—
238	C₁₃×#124	—	2	1	no	—
239	C₁₃×#123	—	2	1	no	—
240	C₁₃×#123	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×#121	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
253	#88201	C₂³	1	1	yes	characteristic
254	#88200	—	2	1	no	—
255	#88200	—	2	1	no	—
256	#88200	—	2	1	no	—
257	#88200	C₂³	1	1	yes	characteristic
258	#88200	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	#88198	—	2	1	no	—
263	#88198	C₂³	1	1	yes	characteristic
264	C₂×#6107	C₂³	1	1	yes	characteristic
265	C₂×#6107	C₂³	1	1	yes	characteristic
266	C₂×#6107	C₂³	1	1	yes	characteristic
267	C₂×#6106	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	D₄	1	1	yes	characteristic
272	#88191	—	2	1	no	—
273	#88191	—	2	1	no	—
274	#88191	D₄	1	1	yes	characteristic
275	#88189	—	2	1	no	—
276	#88189	—	2	1	no	—
277	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×#6105	C₂³	1	1	yes	characteristic
279	#88184	—	2	1	no	—
280	#88184	C₂³	1	1	yes	characteristic
281	#88183	—	2	1	no	—
282	#88183	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
286	C₂×#6103	—	2	1	no	—
287	C₂×#6103	—	2	1	no	—
288	C₂×#6103	—	2	1	no	—
289	#88180	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	#88178	C₂³	1	1	yes	characteristic
292	#88178	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	C₂×#6101	—	2	1	no	—
295	C₂×#6099	C₂³	1	1	yes	characteristic
296	C₂²×#1055	C₂³	1	1	yes	characteristic
297	#88172	—	4	2	no	—
298	Q₁₆×D₁₃	—	4	2	no	—
299	SD₁₆×D₁₃	—	2	4	no	—
300	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
301	C₂×#6095	C₂³	1	1	yes	characteristic
302	C₂×#6095	C₂³	1	1	yes	characteristic
303	#88155	—	4	2	no	—
304	C₂×#6094	—	4	2	no	—
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×#6094	C₂³	1	1	yes	characteristic
307	C₂×#6094	C₂³	1	1	yes	characteristic
308	C₂×#6094	C₂³	1	1	yes	characteristic
309	C₂×#6094	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	#88151	—	2	1	no	—
314	#88151	C₂³	1	1	yes	characteristic
315	#88151	C₂³	1	1	yes	characteristic
316	#88151	C₂³	1	1	yes	characteristic
317	#88150	—	2	1	no	—
318	#88150	—	2	1	no	—
319	#88150	—	2	1	no	—
320	#88150	—	2	1	no	—
321	#88150	D₄	1	1	yes	characteristic
322	#88149	—	2	1	no	—
323	#88149	—	2	1	no	—
324	#88149	C₂³	1	1	yes	characteristic
325	#88148	—	2	1	no	—
326	#88148	—	2	1	no	—
327	#88148	—	2	1	no	—
328	#88148	—	2	1	no	—
329	#88148	—	2	1	no	—
330	#88148	—	2	1	no	—
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88148	—	2	1	no	—
334	#88148	—	2	1	no	—
335	#88148	—	2	1	no	—
336	#88148	D₄	1	1	yes	characteristic
337	#88147	—	2	1	no	—
338	#88147	—	2	1	no	—
339	#88147	C₂³	1	1	yes	characteristic
340	#88146	—	2	1	no	—
341	#88146	—	2	1	no	—
342	#88146	C₂³	1	1	yes	characteristic
343	#88146	C₂³	1	1	yes	characteristic
344	#88146	C₂³	1	1	yes	characteristic
345	#88146	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	—	2	1	no	—
347	C₄⋊C₄×D₁₃	—	2	1	no	—
348	C₄⋊C₄×D₁₃	—	2	1	no	—
349	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
350	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
351	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
352	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
353	#88144	—	2	1	no	—
354	#88144	C₂³	1	1	yes	characteristic
355	#88143	—	2	1	no	—
356	#88143	—	2	1	no	—
357	#88143	—	2	1	no	—
358	#88143	—	2	1	no	—
359	#88143	—	2	1	no	—
360	#88142	—	2	1	no	—
361	#88142	—	2	1	no	—
362	#88142	C₂³	1	1	yes	characteristic
363	#88141	—	2	1	no	—
364	#88141	C₂³	1	1	yes	characteristic
365	#88140	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
369	#88138	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	D₄	1	1	yes	characteristic
372	#88137	—	2	1	no	—
373	#88137	—	2	1	no	—
374	#88137	—	2	1	no	—
375	#88137	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	D₄	1	1	yes	characteristic
378	#88136	—	2	1	no	—
379	#88136	—	2	1	no	—
380	#88136	—	2	1	no	—
381	#88136	D₄	1	1	yes	characteristic
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88133	—	2	1	no	—
394	#88133	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	D₄	1	1	yes	characteristic
399	#88131	—	2	1	no	—
400	#88131	—	2	1	no	—
401	#88130	—	2	1	no	—
402	#88130	—	2	1	no	—
403	#88129	C₂³	1	1	yes	characteristic
404	C₄×D₅₂	—	2	1	no	—
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	#88126	—	2	1	no	—
408	#88126	—	2	1	no	—
409	#88126	—	2	1	no	—
410	#88126	—	2	1	no	—
411	#88126	C₂³	1	1	yes	characteristic
412	C₄²×D₁₃	—	2	1	no	—
413	#88124	—	2	1	no	—
414	#88124	C₂³	1	1	yes	characteristic
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88058	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88057	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61188	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
522	#6131	—	2	2	no	—
523	#6131	—	2	2	no	—
524	#6131	—	2	2	no	—
525	#6131	—	2	2	no	—
526	#6131	—	4	1	no	—
527	#6131	—	4	1	no	—
528	Q₈×D₁₃	—	2	2	no	—
529	Q₈×D₁₃	—	2	2	no	—
530	Q₈×D₁₃	—	2	2	no	—
531	Q₈×D₁₃	—	2	2	no	—
532	#6129	—	2	2	no	—
533	#6129	—	4	1	no	—
534	#6129	—	4	4	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	4	no	—
539	D₄×D₁₃	—	4	4	no	—
540	D₄×D₁₃	—	4	4	no	—
541	D₄×D₁₃	#41	1	4	yes	—
542	#6127	—	2	2	no	—
543	#6127	—	2	2	no	—
544	#6127	—	2	2	no	—
545	#6127	—	4	1	no	—
546	#6127	—	4	4	no	—
547	#6127	—	4	4	no	—
548	C₂×D₅₂	—	2	2	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	—	2	1	no	—
553	C₂×D₅₂	—	2	1	no	—
554	C₂×D₅₂	—	4	1	no	—
555	C₂×D₅₂	—	4	4	no	—
556	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
557	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₁₃	—	2	2	no	—
561	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	4	4	no	—
575	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
584	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
586	C₁₃×Q₁₆	—	4	1	no	—
587	C₁₃×Q₁₆	—	4	1	no	—
588	C₁₃×SD₁₆	—	2	2	no	—
589	C₂×C₈×C₁₃	—	4	1	no	—
590	C₂×C₈×C₁₃	—	4	1	no	—
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₁₃	—	2	1	no	—
618	C₄²×C₁₃	—	2	1	no	—
619	C₄²×C₁₃	—	2	1	no	—
620	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
627	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
628	#6107	—	4	1	no	—
629	#6107	—	4	1	no	—
630	#6107	—	4	1	no	—
631	#6106	—	2	2	no	—
632	#6106	—	4	1	no	—
633	#6105	—	2	2	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	#6103	C₂×D₄	1	1	yes	characteristic
657	#6103	C₂×D₄	1	1	yes	characteristic
658	#6103	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	#6101	C₂×D₄	1	1	yes	characteristic
692	#6101	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
702	#6099	—	4	1	no	—
703	C₂×#1055	—	4	1	no	—
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	Dic₅₂	—	4	1	no	—
709	#6095	—	2	2	no	—
710	#6095	—	4	1	no	—
711	#6094	—	2	2	no	—
712	#6094	—	2	2	no	—
713	#6094	—	4	1	no	—
714	#6094	—	4	1	no	—
715	#6094	—	4	1	no	—
716	C₈×D₁₃	—	2	2	no	—
717	C₈×D₁₃	—	2	2	no	—
718	C₈×D₁₃	—	4	1	no	—
719	#3495	—	13	1	no	—
720	#3485	—	13	1	no	—
721	#3331	—	13	1	no	—
722	#3331	—	13	1	no	—
723	#3323	—	13	1	no	—
724	#3323	—	13	1	no	—
725	#3315	—	13	1	no	—
726	#3315	—	13	1	no	—
727	#3315	—	13	1	no	—
728	#3315	—	13	1	no	—
729	#3314	—	13	1	no	—
730	#3314	—	13	1	no	—
731	#3311	—	13	1	no	—
732	#3311	—	13	1	no	—
733	#3302	—	13	1	no	—
734	#3302	D₁₃	1	1	yes	characteristic, complemented
735	#3296	—	13	1	no	—
736	#3296	—	13	1	no	—
737	#3137	—	13	1	no	—
738	#3097	—	13	1	no	—
739	#3091	—	13	1	no	—
740	#3081	—	13	1	no	—
741	#3059	—	13	1	no	—
742	#3056	—	13	1	no	—
743	#3044	—	13	1	no	—
744	#3009	—	13	1	no	—
745	C₂×#452	—	13	1	no	—
746	#2949	—	13	1	no	—
747	#2933	—	13	1	no	—
748	#2897	—	13	1	no	—
749	#2896	—	13	1	no	—
750	C₂³×C₁₃	—	2	1	no	—
751	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
752	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂²×D₁₃	—	2	1	no	—
754	C₂²×D₁₃	—	2	2	no	—
755	C₂²×D₁₃	—	2	4	no	—
756	C₂²×D₁₃	—	2	1	no	—
757	C₂²×D₁₃	—	4	1	no	—
758	C₂²×D₁₃	—	4	1	no	—
759	C₂²×D₁₃	—	4	2	no	—
760	C₂²×D₁₃	—	4	2	no	—
761	C₂²×D₁₃	—	8	1	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	—	8	1	no	—
765	C₂²×D₁₃	—	8	1	no	—
766	C₂²×D₁₃	—	8	1	no	—
767	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	4	1	no	—
779	D₄×C₁₃	—	4	2	no	—
780	D₄×C₁₃	—	4	2	no	—
781	D₄×C₁₃	C₂×#41	1	2	yes	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	4	2	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
801	C₂²⋊D₁₃	—	2	2	no	—
802	C₂²⋊D₁₃	—	2	2	no	—
803	C₂²⋊D₁₃	—	2	4	no	—
804	C₂²⋊D₁₃	—	4	1	no	—
805	C₂²⋊D₁₃	—	4	1	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂²⋊D₁₃	—	4	2	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂×Dic₁₃	—	2	2	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	4	2	no	—
818	C₂×Dic₁₃	—	8	1	no	—
819	C₂×Dic₁₃	—	8	1	no	—
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	D₅₂	—	2	2	no	—
826	D₅₂	—	2	1	no	—
827	D₅₂	—	2	1	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	4	1	no	—
830	D₅₂	—	4	2	no	—
831	D₅₂	—	4	2	no	—
832	D₅₂	—	4	2	no	—
833	D₅₂	—	4	2	no	—
834	D₅₂	—	8	1	no	—
835	D₅₂	C₂×#41	1	2	yes	—
836	C₄×D₁₃	—	2	2	no	—
837	C₄×D₁₃	—	2	1	no	—
838	C₄×D₁₃	—	2	1	no	—
839	C₄×D₁₃	—	2	1	no	—
840	C₄×D₁₃	—	2	1	no	—
841	C₄×D₁₃	—	2	2	no	—
842	C₄×D₁₃	—	4	2	no	—
843	C₄×D₁₃	—	4	2	no	—
844	C₄×D₁₃	—	4	2	no	—
845	C₄×D₁₃	—	4	2	no	—
846	C₄×D₁₃	—	4	2	no	—
847	C₄×D₁₃	—	4	2	no	—
848	C₄×D₁₃	—	4	2	no	—
849	C₄×D₁₃	—	8	1	no	—
850	C₄×D₁₃	—	8	1	no	—
851	C₄×D₁₃	—	8	1	no	—
852	C₄×D₁₃	—	8	1	no	—
853	C₄×D₁₃	—	8	1	no	—
854	C₄×D₁₃	C₂×#41	1	2	yes	—
855	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
856	Dic₂₆	—	2	2	no	—
857	Dic₂₆	—	2	1	no	—
858	Dic₂₆	—	2	1	no	—
859	Dic₂₆	—	2	1	no	—
860	Dic₂₆	—	2	1	no	—
861	Dic₂₆	—	4	2	no	—
862	Dic₂₆	—	4	2	no	—
863	Dic₂₆	—	8	1	no	—
864	C₈×C₁₃	—	2	1	no	—
865	C₈×C₁₃	—	2	1	no	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	#1055	—	2	1	no	—
869	#1055	—	2	1	no	—
870	#1055	—	2	1	no	—
871	#1055	—	2	1	no	—
872	C₂×H(5,𝔽₂)	—	13	1	no	—
873	C₂²×#41	—	13	1	no	—
874	C₂×#137	—	13	1	no	—
875	C₂²×Q₁₆	—	13	1	no	—
876	C₂²×SD₁₆	—	13	1	no	—
877	C₂×#131	—	13	1	no	—
878	C₂²×M₁₆	—	13	1	no	—
879	#556	—	13	1	no	—
880	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
881	#554	—	13	1	no	—
882	#554	—	13	1	no	—
883	#552	—	13	1	no	—
884	#552	—	13	1	no	—
885	#552	—	13	1	no	—
886	#552	—	13	1	no	—
887	#552	—	26	1	no	—
888	#552	—	26	1	no	—
889	#551	—	26	1	no	—
890	#551	—	26	1	no	—
891	#547	—	13	1	no	—
892	#547	—	13	1	no	—
893	#547	—	13	1	no	—
894	#547	—	26	1	no	—
895	#547	—	26	1	no	—
896	#547	C₂×D₁₃	1	1	yes	characteristic
897	#546	—	13	1	no	—
898	#546	—	13	1	no	—
899	#546	—	13	1	no	—
900	#546	—	13	1	no	—
901	#546	—	26	1	no	—
902	#546	—	26	1	no	—
903	#544	—	13	1	no	—
904	#542	—	26	1	no	—
905	#541	—	26	1	no	—
906	#536	—	13	1	no	—
907	#536	—	13	1	no	—
908	#536	—	13	1	no	—
909	#534	—	26	1	no	—
910	#534	—	26	1	no	—
911	#533	—	26	1	no	—
912	#529	—	26	1	no	—
913	#525	—	13	1	no	—
914	#525	—	13	1	no	—
915	C₂×#123	—	26	1	no	—
916	C₂×#123	—	26	1	no	—
917	C₂×C₂²⋊Q₈	—	13	1	no	—
918	#520	—	13	1	no	—
919	#519	—	13	1	no	—
920	#518	—	13	1	no	—
921	C₂×#117	—	13	1	no	—
922	#491	—	13	1	no	—
923	#491	—	13	1	no	—
924	#489	—	13	1	no	—
925	#489	—	13	1	no	—
926	#488	—	13	1	no	—
927	#488	—	13	1	no	—
928	#487	—	13	1	no	—
929	#487	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#485	—	13	1	no	—
931	#485	—	13	1	no	—
932	#485	—	13	1	no	—
933	#485	—	13	1	no	—
934	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
936	#484	—	13	1	no	—
937	#484	—	13	1	no	—
938	#484	—	13	1	no	—
939	#483	—	13	1	no	—
940	#483	—	13	1	no	—
941	#483	—	13	1	no	—
942	#482	—	13	1	no	—
943	#482	—	13	1	no	—
944	#481	—	13	1	no	—
945	#480	—	13	1	no	—
946	#478	—	13	1	no	—
947	#478	—	13	1	no	—
948	#478	—	13	1	no	—
949	#478	—	13	1	no	—
950	#476	—	13	1	no	—
951	#476	—	13	1	no	—
952	#474	—	13	1	no	—
953	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#470	—	13	1	no	—
955	#470	—	13	1	no	—
956	#470	—	13	1	no	—
957	#470	—	13	1	no	—
958	#470	—	13	1	no	—
959	#470	—	13	1	no	—
960	#468	—	13	1	no	—
961	#468	—	13	1	no	—
962	#467	—	13	1	no	—
963	#467	—	13	1	no	—
964	#467	—	13	1	no	—
965	#467	—	13	1	no	—
966	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#465	—	13	1	no	—
969	#465	—	13	1	no	—
970	#464	—	13	1	no	—
971	#464	—	13	1	no	—
972	#464	—	13	1	no	—
973	#464	—	13	1	no	—
974	#462	—	13	1	no	—
975	#462	—	13	1	no	—
976	#462	—	13	1	no	—
977	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#452	—	13	1	no	—
979	#452	—	13	1	no	—
980	#452	—	13	1	no	—
981	#452	—	13	1	no	—
982	#452	—	13	1	no	—
983	#452	—	13	1	no	—
984	#452	—	13	1	no	—
985	#452	—	13	1	no	—
986	#452	—	13	1	no	—
987	#452	—	13	1	no	—
988	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#450	—	13	1	no	—
991	#450	—	13	1	no	—
992	#450	—	13	1	no	—
993	#450	—	13	1	no	—
994	#440	—	13	1	no	—
995	#440	—	13	1	no	—
996	#440	—	13	1	no	—
997	#440	—	13	1	no	—
998	C₄×SD₁₆	—	13	1	no	—
999	C₄×SD₁₆	—	13	1	no	—
1000	C₄×SD₁₆	—	13	1	no	—
1001	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#436	—	13	1	no	—
1003	#436	—	13	1	no	—
1004	#435	—	13	1	no	—
1005	#435	—	13	1	no	—
1006	#435	—	13	1	no	—
1007	#435	—	13	1	no	—
1008	C₈×D₄	—	13	1	no	—
1009	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#428	—	13	1	no	—
1011	#427	—	13	1	no	—
1012	#427	—	13	1	no	—
1013	#424	—	13	1	no	—
1014	#419	—	13	1	no	—
1015	#419	—	13	1	no	—
1016	#419	—	13	1	no	—
1017	#418	—	13	1	no	—
1018	#418	—	13	1	no	—
1019	#418	—	13	1	no	—
1020	#418	—	13	1	no	—
1021	#417	—	13	1	no	—
1022	#417	—	13	1	no	—
1023	#417	—	13	1	no	—
1024	#417	—	13	1	no	—
1025	#417	—	13	1	no	—
1026	#417	—	13	1	no	—
1027	#417	—	13	1	no	—
1028	#416	—	13	1	no	—
1029	#416	—	13	1	no	—
1030	#416	—	13	1	no	—
1031	#416	—	13	1	no	—
1032	#416	—	13	1	no	—
1033	#416	—	13	1	no	—
1034	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1036	C₂×#103	—	13	1	no	—
1037	C₂×#102	—	13	1	no	—
1038	C₂×#102	—	13	1	no	—
1039	C₂×#102	—	13	1	no	—
1040	#408	—	13	1	no	—
1041	C₂×C₂²⋊C₈	—	13	1	no	—
1042	#405	—	13	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	2	1	no	—
1048	C₂²×C₁₃	—	2	2	no	—
1049	C₂²×C₁₃	—	2	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	2	1	no	—
1057	C₂×D₁₃	—	2	1	no	—
1058	C₂×D₁₃	—	2	1	no	—
1059	C₂×D₁₃	—	2	1	no	—
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	2	no	—
1062	C₂×D₁₃	—	4	1	no	—
1063	C₂×D₁₃	—	4	1	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	8	2	no	—
1068	C₂×D₁₃	—	8	4	no	—
1069	C₂×D₁₃	—	16	2	no	—
1070	C₂×D₁₃	—	16	2	no	—
1071	C₂×D₁₃	#546	1	2	yes	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	2	1	no	—
1074	C₄×C₁₃	—	2	1	no	—
1075	C₄×C₁₃	—	2	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	—	4	1	no	—
1078	C₄×C₁₃	—	4	1	no	—
1079	C₄×C₁₃	—	4	1	no	—
1080	C₄×C₁₃	—	4	1	no	—
1081	C₄×C₁₃	—	4	1	no	—
1082	C₄×C₁₃	—	4	1	no	—
1083	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1084	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1085	Dic₁₃	—	2	1	no	—
1086	Dic₁₃	—	2	1	no	—
1087	Dic₁₃	—	2	1	no	—
1088	Dic₁₃	—	2	1	no	—
1089	Dic₁₃	—	4	1	no	—
1090	Dic₁₃	—	4	1	no	—
1091	Dic₁₃	—	4	1	no	—
1092	Dic₁₃	—	4	1	no	—
1093	Dic₁₃	—	4	1	no	—
1094	Dic₁₃	—	4	1	no	—
1095	Dic₁₃	#546	1	2	yes	—
1096	H(5,𝔽₂)	—	26	4	no	—
1097	H(5,𝔽₂)	—	52	2	no	—
1098	C₂×#41	—	13	1	no	—
1099	C₂×#41	—	13	1	no	—
1100	C₂×#41	—	13	1	no	—
1101	C₂×#41	—	13	1	no	—
1102	C₂×#41	—	13	1	no	—
1103	C₂×#41	—	13	1	no	—
1104	C₂×#41	—	26	1	no	—
1105	C₂×#41	—	26	1	no	—
1106	C₂×#41	—	26	1	no	—
1107	C₂×#41	—	26	4	no	—
1108	C₂×#41	—	52	2	no	—
1109	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1110	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂²×Q₈	—	13	1	no	—
1112	C₂²×Q₈	—	13	1	no	—
1113	C₂²×D₄	—	13	1	no	—
1114	C₂²×D₄	—	13	1	no	—
1115	C₂²×D₄	—	13	1	no	—
1116	C₂²×D₄	—	26	1	no	—
1117	C₂²×D₄	—	26	1	no	—
1118	C₂²×D₄	—	26	1	no	—
1119	C₂²×D₄	—	26	1	no	—
1120	C₂³×C₄	—	13	1	no	—
1121	C₂³×C₄	—	26	1	no	—
1122	#137	—	52	2	no	—
1123	C₂×Q₁₆	—	13	1	no	—
1124	C₂×Q₁₆	—	13	1	no	—
1125	C₂×Q₁₆	—	13	1	no	—
1126	C₂×Q₁₆	—	13	1	no	—
1127	C₂×Q₁₆	—	52	2	no	—
1128	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1129	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1130	C₂×SD₁₆	—	13	1	no	—
1131	C₂×SD₁₆	—	13	1	no	—
1132	C₂×SD₁₆	—	13	1	no	—
1133	C₂×SD₁₆	—	13	1	no	—
1134	C₂×SD₁₆	—	13	1	no	—
1135	C₂×SD₁₆	—	26	4	no	—
1136	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1137	#131	—	52	2	no	—
1138	C₂×M₁₆	—	13	1	no	—
1139	C₂×M₁₆	—	13	1	no	—
1140	C₂×M₁₆	—	13	1	no	—
1141	C₂×M₁₆	—	13	1	no	—
1142	C₂×M₁₆	—	13	1	no	—
1143	C₂×M₁₆	—	13	1	no	—
1144	C₂×M₁₆	—	52	2	no	—
1145	C₂²×C₈	—	13	1	no	—
1146	C₂²×C₈	—	13	1	no	—
1147	C₂²×C₈	—	13	1	no	—
1148	C₂²×C₈	—	13	1	no	—
1149	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1151	C₄⋊Q₈	—	13	1	no	—
1152	C₄⋊Q₈	—	13	1	no	—
1153	C₄⋊Q₈	—	26	1	no	—
1154	C₄⋊Q₈	—	26	1	no	—
1155	C₄⋊Q₈	—	26	1	no	—
1156	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1157	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1158	#126	—	2	1	no	—
1159	#126	—	2	1	no	—
1160	#126	—	26	1	no	—
1161	#126	—	26	1	no	—
1162	#126	—	26	1	no	—
1163	#126	—	26	1	no	—
1164	#126	—	26	1	no	—
1165	#126	—	26	1	no	—
1166	#125	—	13	1	no	—
1167	#125	—	13	1	no	—
1168	#125	—	26	1	no	—
1169	#125	—	26	1	no	—
1170	#125	—	26	1	no	—
1171	#125	—	26	1	no	—
1172	#125	—	26	1	no	—
1173	#125	—	26	1	no	—
1174	#125	—	26	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	13	1	no	—
1177	#124	—	13	1	no	—
1178	#124	—	26	1	no	—
1179	#124	—	26	1	no	—
1180	#124	—	26	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	13	1	no	—
1184	#123	—	13	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	—	26	1	no	—
1192	#123	—	26	1	no	—
1193	#123	—	26	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	#123	—	26	1	no	—
1197	#123	—	26	1	no	—
1198	#123	—	26	1	no	—
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	1	no	—
1206	C₂²⋊Q₈	—	13	1	no	—
1207	C₂²⋊Q₈	—	13	1	no	—
1208	C₂²⋊Q₈	—	13	1	no	—
1209	C₂²⋊Q₈	—	13	1	no	—
1210	C₂²⋊Q₈	—	13	1	no	—
1211	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	13	1	no	—
1215	C₂²⋊Q₈	—	13	1	no	—
1216	C₂²⋊Q₈	—	13	1	no	—
1217	C₂²⋊Q₈	—	13	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	C₂²⋊Q₈	—	26	1	no	—
1224	C₂²⋊Q₈	—	26	1	no	—
1225	C₂²⋊Q₈	—	26	1	no	—
1226	C₂²⋊Q₈	—	26	1	no	—
1227	C₂²⋊Q₈	—	26	1	no	—
1228	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1231	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1232	#121	—	2	1	no	—
1233	#121	—	13	1	no	—
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	26	1	no	—
1238	#121	—	26	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#120	—	13	1	no	—
1245	#120	—	13	1	no	—
1246	#120	—	26	1	no	—
1247	#120	—	26	1	no	—
1248	#120	—	26	1	no	—
1249	#120	—	26	1	no	—
1250	#120	—	26	1	no	—
1251	C₄×Q₈	—	2	1	no	—
1252	C₄×Q₈	—	13	1	no	—
1253	C₄×Q₈	—	13	1	no	—
1254	C₄×Q₈	—	13	1	no	—
1255	C₄×Q₈	—	26	1	no	—
1256	C₄×Q₈	—	26	1	no	—
1257	C₄×Q₈	—	26	1	no	—
1258	C₄×Q₈	—	26	1	no	—
1259	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1277	#117	—	13	1	no	—
1278	#117	—	13	1	no	—
1279	#117	—	13	1	no	—
1280	#117	—	13	1	no	—
1281	#117	—	13	1	no	—
1282	#117	—	13	1	no	—
1283	#117	—	26	1	no	—
1284	#117	—	26	1	no	—
1285	#117	—	26	1	no	—
1286	#117	—	26	1	no	—
1287	#117	—	26	1	no	—
1288	#117	—	26	1	no	—
1289	#117	—	26	1	no	—
1290	#117	—	26	1	no	—
1291	#117	C₂²×D₁₃	1	1	yes	characteristic
1292	#117	C₂²×D₁₃	1	1	yes	characteristic
1293	C₂×C₄⋊C₄	—	2	1	no	—
1294	C₂×C₄⋊C₄	—	13	1	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	13	1	no	—
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	26	1	no	—
1300	C₂×C₄⋊C₄	—	26	1	no	—
1301	C₂×C₄⋊C₄	—	26	1	no	—
1302	C₂×C₄⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	26	1	no	—
1304	C₂×C₂²⋊C₄	—	26	1	no	—
1305	C₂×C₂²⋊C₄	—	26	1	no	—
1306	C₂×C₂²⋊C₄	—	26	1	no	—
1307	C₂×C₂²⋊C₄	—	26	1	no	—
1308	C₂×C₂²⋊C₄	—	26	1	no	—
1309	C₂×C₂²⋊C₄	—	26	1	no	—
1310	C₂×C₂²⋊C₄	—	26	1	no	—
1311	C₂×C₄²	—	26	1	no	—
1312	#107	—	13	1	no	—
1313	#107	—	13	1	no	—
1314	#107	—	13	1	no	—
1315	#107	—	13	1	no	—
1316	#107	C₂²×D₁₃	1	1	yes	characteristic
1317	#107	C₂²×D₁₃	1	1	yes	characteristic
1318	#106	—	13	1	no	—
1319	#106	—	13	1	no	—
1320	#106	—	13	1	no	—
1321	#106	—	13	1	no	—
1322	#106	—	13	1	no	—
1323	#106	C₂²×D₁₃	1	1	yes	characteristic
1324	C₄⋊C₈	—	13	1	no	—
1325	C₄⋊C₈	—	13	1	no	—
1326	C₄⋊C₈	—	13	1	no	—
1327	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	C₂²×D₁₃	1	1	yes	characteristic
1344	#103	C₂²×D₁₃	1	1	yes	characteristic
1345	#103	C₂²×D₁₃	1	1	yes	characteristic
1346	#103	C₂²×D₁₃	1	1	yes	characteristic
1347	#103	C₂²×D₁₃	1	1	yes	characteristic
1348	#103	C₂²×D₁₃	1	1	yes	characteristic
1349	#103	C₂²×D₁₃	1	1	yes	characteristic
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	#102	C₂²×D₁₃	1	1	yes	characteristic
1368	C₂²⋊C₈	—	13	1	no	—
1369	C₂²⋊C₈	—	13	1	no	—
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	—	13	1	no	—
1372	C₂²⋊C₈	—	13	1	no	—
1373	C₂²⋊C₈	—	13	1	no	—
1374	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1376	#97	—	13	1	no	—
1377	#97	—	13	1	no	—
1378	C₄×C₈	—	13	1	no	—
1379	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂×C₁₃	—	4	2	no	—
1381	C₂×C₁₃	—	4	1	no	—
1382	C₂×C₁₃	—	4	1	no	—
1383	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1384	C₂×C₁₃	#3584	1	1	yes	characteristic
1385	C₂×C₁₃	#3586	1	1	yes	characteristic
1386	D₁₃	—	2	2	no	—
1387	D₁₃	—	4	1	no	—
1388	D₁₃	—	4	1	no	—
1389	D₁₃	—	4	2	no	—
1390	D₁₃	—	8	1	no	—
1391	C₂⁴	—	13	1	no	—
1392	C₂⁴	—	26	1	no	—
1393	C₂⁴	—	26	1	no	—
1394	C₂⁴	—	26	1	no	—
1395	#41	—	2	2	no	—
1396	#41	—	2	2	no	—
1397	#41	—	4	1	no	—
1398	#41	—	4	1	no	—
1399	#41	—	26	2	no	—
1400	#41	—	26	2	no	—
1401	#41	—	26	2	no	—
1402	#41	—	26	2	no	—
1403	#41	—	26	2	no	—
1404	#41	—	26	2	no	—
1405	#41	—	26	2	no	—
1406	#41	—	26	2	no	—
1407	#41	—	52	1	no	—
1408	#41	—	52	4	no	—
1409	#41	—	52	4	no	—
1410	#41	—	52	1	no	—
1411	#41	—	52	4	no	—
1412	#41	—	52	1	no	—
1413	#41	—	52	1	no	—
1414	C₂×Q₈	—	2	1	no	—
1415	C₂×Q₈	—	13	1	no	—
1416	C₂×Q₈	—	13	1	no	—
1417	C₂×Q₈	—	13	1	no	—
1418	C₂×Q₈	—	26	1	no	—
1419	C₂×Q₈	—	26	1	no	—
1420	C₂×Q₈	—	26	1	no	—
1421	C₂×Q₈	—	26	2	no	—
1422	C₂×Q₈	—	26	2	no	—
1423	C₂×Q₈	—	26	2	no	—
1424	C₂×Q₈	—	26	2	no	—
1425	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1426	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	13	4	no	—
1431	C₂×D₄	—	13	1	no	—
1432	C₂×D₄	—	13	1	no	—
1433	C₂×D₄	—	13	1	no	—
1434	C₂×D₄	—	13	1	no	—
1435	C₂×D₄	—	13	1	no	—
1436	C₂×D₄	—	13	1	no	—
1437	C₂×D₄	—	13	1	no	—
1438	C₂×D₄	—	13	1	no	—
1439	C₂×D₄	—	26	2	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	2	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	2	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	52	1	no	—
1453	C₂×D₄	—	52	4	no	—
1454	C₂×D₄	—	52	1	no	—
1455	C₂×D₄	—	52	4	no	—
1456	C₂×D₄	—	52	4	no	—
1457	C₂×D₄	—	52	4	no	—
1458	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1459	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	2	1	no	—
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	13	1	no	—
1465	C₂²×C₄	—	13	1	no	—
1466	C₂²×C₄	—	13	1	no	—
1467	C₂²×C₄	—	13	1	no	—
1468	C₂²×C₄	—	13	1	no	—
1469	C₂²×C₄	—	26	2	no	—
1470	C₂²×C₄	—	26	2	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	52	4	no	—
1487	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1488	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1489	Q₁₆	—	4	1	no	—
1490	Q₁₆	—	4	1	no	—
1491	Q₁₆	—	52	1	no	—
1492	Q₁₆	—	52	1	no	—
1493	Q₁₆	—	52	1	no	—
1494	Q₁₆	—	52	1	no	—
1495	SD₁₆	—	2	2	no	—
1496	SD₁₆	—	26	2	no	—
1497	SD₁₆	—	26	2	no	—
1498	SD₁₆	—	26	2	no	—
1499	SD₁₆	—	52	1	no	—
1500	SD₁₆	—	52	1	no	—
1501	M₁₆	—	26	2	no	—
1502	M₁₆	—	26	2	no	—
1503	M₁₆	—	52	1	no	—
1504	M₁₆	—	52	1	no	—
1505	M₁₆	—	52	1	no	—
1506	M₁₆	—	52	1	no	—
1507	C₂×C₈	—	4	1	no	—
1508	C₂×C₈	—	4	1	no	—
1509	C₂×C₈	—	13	1	no	—
1510	C₂×C₈	—	13	1	no	—
1511	C₂×C₈	—	13	1	no	—
1512	C₂×C₈	—	13	1	no	—
1513	C₂×C₈	—	26	2	no	—
1514	C₂×C₈	—	26	2	no	—
1515	C₂×C₈	—	52	1	no	—
1516	C₂×C₈	—	52	1	no	—
1517	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1518	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1519	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1520	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	—	26	1	no	—
1558	C₄⋊C₄	—	26	1	no	—
1559	C₄⋊C₄	—	26	1	no	—
1560	C₄⋊C₄	—	26	1	no	—
1561	C₄⋊C₄	—	26	1	no	—
1562	C₄⋊C₄	—	26	1	no	—
1563	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1564	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1565	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1566	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1567	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	1	no	—
1577	C₂²⋊C₄	—	13	1	no	—
1578	C₂²⋊C₄	—	13	1	no	—
1579	C₂²⋊C₄	—	13	1	no	—
1580	C₂²⋊C₄	—	13	1	no	—
1581	C₂²⋊C₄	—	13	1	no	—
1582	C₂²⋊C₄	—	13	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1608	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1609	C₄²	—	2	1	no	—
1610	C₄²	—	2	1	no	—
1611	C₄²	—	2	1	no	—
1612	C₄²	—	13	1	no	—
1613	C₄²	—	26	1	no	—
1614	C₄²	—	26	1	no	—
1615	C₄²	—	26	1	no	—
1616	C₄²	—	26	1	no	—
1617	C₄²	—	26	1	no	—
1618	C₄²	—	26	1	no	—
1619	C₄²	—	26	1	no	—
1620	C₄²	—	26	1	no	—
1621	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1622	C₁₃	#61188	1	1	yes	characteristic, complemented, Sylow
1623	C₂³	—	2	1	no	—
1624	C₂³	—	13	1	no	—
1625	C₂³	—	13	1	no	—
1626	C₂³	—	13	1	no	—
1627	C₂³	—	26	2	no	—
1628	C₂³	—	26	4	no	—
1629	C₂³	—	26	1	no	—
1630	C₂³	—	26	1	no	—
1631	C₂³	—	52	1	no	—
1632	C₂³	—	52	1	no	—
1633	C₂³	—	52	2	no	—
1634	C₂³	—	52	2	no	—
1635	C₂³	—	104	1	no	—
1636	C₂³	—	104	1	no	—
1637	C₂³	—	104	1	no	—
1638	C₂³	—	104	1	no	—
1639	C₂³	—	104	1	no	—
1640	C₂³	—	104	1	no	—
1641	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1642	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1643	Q₈	—	2	1	no	—
1644	Q₈	—	2	1	no	—
1645	Q₈	—	2	1	no	—
1646	Q₈	—	2	1	no	—
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	8	1	no	—
1650	Q₈	—	26	2	no	—
1651	Q₈	—	26	1	no	—
1652	Q₈	—	26	1	no	—
1653	Q₈	—	26	1	no	—
1654	Q₈	—	26	1	no	—
1655	Q₈	—	52	2	no	—
1656	Q₈	—	52	2	no	—
1657	Q₈	—	104	1	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	4	1	no	—
1660	D₄	—	4	2	no	—
1661	D₄	—	4	2	no	—
1662	D₄	—	13	2	no	—
1663	D₄	—	26	2	no	—
1664	D₄	—	26	4	no	—
1665	D₄	—	26	2	no	—
1666	D₄	—	26	2	no	—
1667	D₄	—	26	1	no	—
1668	D₄	—	26	1	no	—
1669	D₄	—	26	1	no	—
1670	D₄	—	52	1	no	—
1671	D₄	—	52	2	no	—
1672	D₄	—	52	2	no	—
1673	D₄	—	52	2	no	—
1674	D₄	—	52	2	no	—
1675	D₄	—	52	1	no	—
1676	D₄	—	52	1	no	—
1677	D₄	—	52	2	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	2	no	—
1680	D₄	—	104	1	no	—
1681	D₄	—	104	1	no	—
1682	D₄	#41×D₁₃	1	2	yes	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	4	2	no	—
1695	C₂×C₄	—	4	2	no	—
1696	C₂×C₄	—	8	1	no	—
1697	C₂×C₄	—	13	1	no	—
1698	C₂×C₄	—	13	2	no	—
1699	C₂×C₄	—	13	2	no	—
1700	C₂×C₄	—	13	1	no	—
1701	C₂×C₄	—	13	1	no	—
1702	C₂×C₄	—	13	1	no	—
1703	C₂×C₄	—	13	1	no	—
1704	C₂×C₄	—	26	2	no	—
1705	C₂×C₄	—	26	2	no	—
1706	C₂×C₄	—	26	2	no	—
1707	C₂×C₄	—	26	1	no	—
1708	C₂×C₄	—	26	1	no	—
1709	C₂×C₄	—	26	1	no	—
1710	C₂×C₄	—	26	1	no	—
1711	C₂×C₄	—	26	1	no	—
1712	C₂×C₄	—	26	1	no	—
1713	C₂×C₄	—	26	1	no	—
1714	C₂×C₄	—	26	1	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	52	2	no	—
1718	C₂×C₄	—	52	2	no	—
1719	C₂×C₄	—	52	2	no	—
1720	C₂×C₄	—	52	2	no	—
1721	C₂×C₄	—	52	2	no	—
1722	C₂×C₄	—	52	2	no	—
1723	C₂×C₄	—	52	2	no	—
1724	C₂×C₄	—	52	2	no	—
1725	C₂×C₄	—	104	1	no	—
1726	C₂×C₄	—	104	1	no	—
1727	C₂×C₄	—	104	1	no	—
1728	C₂×C₄	—	104	1	no	—
1729	C₂×C₄	—	104	1	no	—
1730	C₂×C₄	—	104	1	no	—
1731	C₂×C₄	—	104	1	no	—
1732	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1733	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1734	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1735	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1736	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1737	C₈	—	2	1	no	—
1738	C₈	—	2	1	no	—
1739	C₈	—	2	1	no	—
1740	C₈	—	2	1	no	—
1741	C₈	—	26	1	no	—
1742	C₈	—	26	1	no	—
1743	C₈	—	26	1	no	—
1744	C₈	—	26	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	2	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	4	1	no	—
1754	C₂²	—	13	2	no	—
1755	C₂²	—	26	1	no	—
1756	C₂²	—	26	1	no	—
1757	C₂²	—	26	1	no	—
1758	C₂²	—	26	1	no	—
1759	C₂²	—	26	2	no	—
1760	C₂²	—	26	1	no	—
1761	C₂²	—	26	1	no	—
1762	C₂²	—	26	1	no	—
1763	C₂²	—	26	1	no	—
1764	C₂²	—	52	1	no	—
1765	C₂²	—	52	1	no	—
1766	C₂²	—	52	1	no	—
1767	C₂²	—	52	1	no	—
1768	C₂²	—	52	1	no	—
1769	C₂²	—	104	2	no	—
1770	C₂²	—	104	4	no	—
1771	C₂²	—	208	2	no	—
1772	C₂²	—	208	2	no	—
1773	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	4	1	no	—
1783	C₄	—	4	1	no	—
1784	C₄	—	4	1	no	—
1785	C₄	—	13	2	no	—
1786	C₄	—	26	1	no	—
1787	C₄	—	26	1	no	—
1788	C₄	—	26	1	no	—
1789	C₄	—	26	1	no	—
1790	C₄	—	52	1	no	—
1791	C₄	—	52	1	no	—
1792	C₄	—	52	1	no	—
1793	C₄	—	52	1	no	—
1794	C₄	—	52	1	no	—
1795	C₄	—	52	1	no	—
1796	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1797	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1798	C₂	—	4	1	no	—
1799	C₂	—	4	1	no	—
1800	C₂	—	4	2	no	—
1801	C₂	—	26	2	no	—
1802	C₂	—	52	1	no	—
1803	C₂	—	52	1	no	—
1804	C₂	—	52	2	no	—
1805	C₂	—	104	1	no	—
1806	C₂	D₁₃×#546	1	1	yes	characteristic
1807	C₂	#13129605	1	1	yes	characteristic
1808	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×#3302	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128475	C₂
hypercenter	#3302	D₁₃
hypocenter	C₁₃	#61188
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3302

Complements

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

N	H ≅ G/N	type
1. #13128581	C₂	semidirect
3. #13127151	C₂	semidirect
4. #13127145	C₂	semidirect
5. #13127057	C₂	semidirect
6. #13127050	C₂	semidirect
7. #13126939	C₂	semidirect
8. #13126938	C₂	semidirect
9. #13126932	C₂	semidirect
10. #13126928	C₂	semidirect
11. #13126923	C₂	semidirect
12. #13126914	C₂	semidirect
13. #13126868	C₂	semidirect
14. #13126866	C₂	semidirect
15. #13126751	C₂	semidirect
16. #13126673	C₂	semidirect
17. #13126664	C₂	semidirect
18. #13125196	C₂	semidirect
19. #13124802	C₂	semidirect
20. #13124754	C₂	semidirect
21. #13124660	C₂	semidirect
22. #13124486	C₂	semidirect
23. #13124463	C₂	semidirect
24. #13124361	C₂	semidirect
25. #13124110	C₂	semidirect
26. D₁₃×#452	C₂	semidirect
27. #13123690	C₂	semidirect
28. #13123556	C₂	semidirect
29. #13123358	C₂	semidirect
30. #13123351	C₂	semidirect
31. C₁₃×#3302	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
39. C₂×Q₁₆×D₁₃	C₂²	semidirect
42. C₂²×#6094	C₂²	semidirect
43. #11719435	C₂²	semidirect
44. #11719434	C₂²	semidirect
57. #11719344	C₂²	semidirect
58. #11719340	C₂²	semidirect
64. D₁₃×C₂²⋊Q₈	C₂²	semidirect
68. #11719286	C₂²	semidirect
70. #11719277	C₂²	semidirect
75. #11719246	C₂²	semidirect
76. #11719238	C₂²	semidirect
77. #11719234	C₂²	semidirect
79. D₁₃×#117	C₂²	semidirect
82. C₁₃×#487	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#485	C₂²	semidirect
85. C₁₃×#474	C₂²	semidirect
86. C₁₃×#467	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₈×D₄×C₁₃	C₂²	semidirect
93. C₁₃×#416	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718893	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718849	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718848	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718834	C₂²	semidirect
106. #11718830	C₂²	semidirect
107. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718777	C₂²	semidirect
109. #11718775	C₂²	semidirect
110. #11718774	C₂²	semidirect
111. C₂×#88061	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718751	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718745	C₂²	semidirect
117. #11718743	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718712	C₂²	semidirect
121. #11718709	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718707	C₂²	semidirect
124. #11718706	C₂²	semidirect
125. #11718705	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. #11718687	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718662	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718551	C₂²	semidirect
137. #11718548	C₂²	semidirect
138. #11718547	C₂²	semidirect
139. #11718545	C₂²	semidirect
140. #11718543	C₂²	semidirect
141. #11718542	C₂²	semidirect
142. #11718541	C₂²	semidirect
143. #11718528	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718497	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718477	C₂²	semidirect
153. #11718477	C₂²	semidirect
154. #11718477	C₂²	semidirect
155. #11718476	C₂²	semidirect
156. #11718473	C₂²	semidirect
157. #11718471	C₂²	semidirect
158. #11718471	C₂²	semidirect
159. #11718470	C₂²	semidirect
160. #11718466	C₂²	semidirect
161. #11718466	C₂²	semidirect
164. #11718465	C₂²	semidirect
166. #11718464	C₂²	semidirect
167. #11718464	C₂²	semidirect
168. #11718464	C₂²	semidirect
169. #11718463	C₂²	semidirect
170. #11718463	C₂²	semidirect
171. #11718463	C₂²	semidirect
172. D₁₃×#103	C₂²	semidirect
173. #11718461	C₂²	semidirect
174. #11718459	C₂²	semidirect
175. #11718458	C₂²	semidirect
176. #11718456	C₂²	semidirect
177. #11718454	C₂²	semidirect
178. #11718453	C₂²	semidirect
179. #11718444	C₂²	semidirect
180. #11718437	C₂²	semidirect
181. #11718432	C₂²	semidirect
182. #11718432	C₂²	semidirect
185. #11718431	C₂²	semidirect
187. D₁₃×#102	C₂²	semidirect
188. #11718427	C₂²	semidirect
189. #11718422	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718390	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. #11718349	C₂²	semidirect
734. #3302	D₁₃	semidirect
880. #556	C₂×D₁₃	semidirect
929. #487	C₂×D₁₃	semidirect
934. #485	C₂×D₁₃	semidirect
935. #485	C₂×D₁₃	semidirect
953. #474	C₂×D₁₃	semidirect
966. #467	C₂×D₁₃	semidirect
967. #467	C₂×D₁₃	semidirect
977. #462	C₂×D₁₃	semidirect
988. #452	C₂×D₁₃	semidirect
989. #452	C₂×D₁₃	semidirect
1001. C₄×SD₁₆	C₂×D₁₃	semidirect
1009. C₈×D₄	C₂×D₁₃	semidirect
1034. #416	C₂×D₁₃	semidirect
1035. #416	C₂×D₁₃	semidirect
1622. C₁₃	#61188	semidirect

Maximal subgroups

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

subgroup	index
#13128581	2
#13128475	2
#13127151	2
#13127145	2
#13127057	2
#13127050	2
#13126939	2
#13126938	2
#13126932	2
#13126928	2
#13126923	2
#13126914	2
#13126868	2
#13126866	2
#13126751	2
#13126673	2
#13126664	2
#13125196	2
#13124802	2
#13124754	2
#13124660	2
#13124486	2
#13124463	2
#13124361	2
#13124110	2
D₁₃×#452	2
#13123690	2
#13123556	2
#13123358	2
#13123351	2
C₁₃×#3302	2
#61188	13