Subgroups — #16740719

Order 3328.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128544	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128510	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127145	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127092	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127091	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126942	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126882	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126813	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126812	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126798	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126794	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126700	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126699	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126676	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	#13124820	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#483	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124693	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124500	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124465	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124383	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124155	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124057	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123714	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123565	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123367	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#554	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×#88173	C₂²	1	1	yes	characteristic
39	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88170	C₂²	1	1	yes	characteristic
41	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
42	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
43	#11719434	C₂²	1	1	yes	characteristic, complemented
44	#11719432	C₂²	1	1	yes	characteristic
45	#11719431	C₂²	1	1	yes	characteristic
46	#11719429	C₂²	1	1	yes	characteristic
47	#11719398	—	2	1	no	—
48	#11719397	—	2	1	no	—
49	#11719361	—	2	1	no	—
50	#11719360	—	2	1	no	—
51	#11719359	—	2	1	no	—
52	#11719353	—	2	1	no	—
53	#11719344	C₂²	1	1	yes	characteristic
54	#11719343	—	2	1	no	—
55	#11719341	—	2	1	no	—
56	#11719340	C₂²	1	1	yes	characteristic, complemented
57	#11719338	C₂²	1	1	yes	characteristic
58	#11719337	C₂²	1	1	yes	characteristic
59	#11719336	—	2	1	no	—
60	#11719334	C₂²	1	1	yes	characteristic
61	#11719334	C₂²	1	1	yes	characteristic, complemented
62	#11719332	—	2	1	no	—
63	#11719332	C₂²	1	1	yes	characteristic
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	#11719315	—	2	1	no	—
66	#11719302	—	2	1	no	—
67	#11719286	C₂²	1	1	yes	characteristic
68	#11719279	C₂²	1	1	yes	characteristic, complemented
69	#11719270	C₂²	1	1	yes	characteristic, complemented
70	#11719259	C₂²	1	1	yes	characteristic
71	#11719257	C₂²	1	1	yes	characteristic
72	#11719252	—	2	1	no	—
73	#11719252	C₂²	1	1	yes	characteristic
74	#11719251	C₂²	1	1	yes	characteristic
75	#11719245	—	2	1	no	—
76	#11719219	C₂²	1	1	yes	characteristic, complemented
77	C₂×#88150	—	2	1	no	—
78	#11719212	—	2	1	no	—
79	#11719212	C₂²	1	1	yes	characteristic
80	#11719209	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
82	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic
94	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718849	C₂²	1	1	yes	characteristic
101	#11718847	C₂²	1	1	yes	characteristic
102	#11718847	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
107	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718795	C₂²	1	1	yes	characteristic, complemented
110	#11718794	C₂²	1	1	yes	characteristic
111	#11718788	C₂²	1	1	yes	characteristic
112	#11718788	C₂²	1	1	yes	characteristic, complemented
113	#11718781	C₂²	1	1	yes	characteristic, complemented
114	#11718755	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718744	C₂²	1	1	yes	characteristic, complemented
117	#11718743	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718711	C₂²	1	1	yes	characteristic, complemented
120	#11718710	C₂²	1	1	yes	characteristic, complemented
121	#11718709	C₂²	1	1	yes	characteristic, complemented
122	#11718709	C₂²	1	1	yes	characteristic, complemented
123	#11718708	C₂²	1	1	yes	characteristic
124	#11718706	C₂²	1	1	yes	characteristic, complemented
125	#11718704	C₂²	1	1	yes	characteristic, complemented
126	#11718691	C₂²	1	1	yes	characteristic, complemented
127	#11718689	C₂²	1	1	yes	characteristic, complemented
128	#11718675	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718632	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
133	#11718629	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic
135	#11718527	C₂²	1	1	yes	characteristic, complemented
136	#11718526	C₂²	1	1	yes	characteristic, complemented
137	#11718525	C₂²	1	1	yes	characteristic
138	#11718524	C₂²	1	1	yes	characteristic, complemented
139	#11718523	C₂²	1	1	yes	characteristic
140	#11718523	C₂²	1	1	yes	characteristic
141	#11718522	C₂²	1	1	yes	characteristic, complemented
142	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
143	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
144	#11718518	C₂²	1	1	yes	characteristic, complemented
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718505	C₂²	1	1	yes	characteristic, complemented
148	#11718500	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718479	C₂²	1	1	yes	characteristic, complemented
153	#11718475	C₂²	1	1	yes	characteristic, complemented
154	#11718474	C₂²	1	1	yes	characteristic
155	#11718468	C₂²	1	1	yes	characteristic
156	#11718468	C₂²	1	1	yes	characteristic, complemented
157	#11718468	C₂²	1	1	yes	characteristic, complemented
158	#11718467	C₂²	1	1	yes	characteristic
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic
161	#11718466	C₂²	1	1	yes	characteristic
162	#11718466	C₂²	1	1	yes	characteristic, complemented
163	#11718465	C₂²	1	1	yes	characteristic
164	#11718464	C₂²	1	1	yes	characteristic
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718464	C₂²	1	1	yes	characteristic, complemented
167	#11718463	C₂²	1	1	yes	characteristic, complemented
168	#11718463	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic
170	D₁₃×#103	C₂²	1	1	yes	characteristic
171	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
173	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
174	#11718461	C₂²	1	1	yes	characteristic, complemented
175	#11718458	C₂²	1	1	yes	characteristic, complemented
176	#11718456	C₂²	1	1	yes	characteristic, complemented
177	#11718453	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718446	C₂²	1	1	yes	characteristic, complemented
180	#11718442	C₂²	1	1	yes	characteristic, complemented
181	#11718434	C₂²	1	1	yes	characteristic
182	#11718433	C₂²	1	1	yes	characteristic
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	#11718432	C₂²	1	1	yes	characteristic
185	#11718432	C₂²	1	1	yes	characteristic
186	#11718432	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	D₁₃×#102	C₂²	1	1	yes	characteristic
189	#11718427	C₂²	1	1	yes	characteristic, complemented
190	#11718422	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718398	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
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	C₈×D₅₂	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#88257	—	2	4	no	—
206	#88257	—	4	2	no	—
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
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×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	—	2	1	no	—
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×#125	—	2	1	no	—
240	C₁₃×#123	—	2	1	no	—
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	#88201	C₂³	1	1	yes	characteristic
257	#88200	—	2	1	no	—
258	#88200	—	2	1	no	—
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	#88198	—	2	1	no	—
265	#88198	C₂³	1	1	yes	characteristic
266	C₂×#6107	C₂³	1	1	yes	characteristic
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	C₂×#6106	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	D₄	1	1	yes	characteristic
276	#88191	—	2	1	no	—
277	#88191	D₄	1	1	yes	characteristic
278	#88189	—	2	1	no	—
279	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×#6104	C₂³	1	1	yes	characteristic
281	#88184	—	2	1	no	—
282	#88184	—	2	1	no	—
283	#88184	C₂³	1	1	yes	characteristic
284	#88184	C₂³	1	1	yes	characteristic
285	#88184	C₂³	1	1	yes	characteristic
286	#88183	—	2	1	no	—
287	#88183	—	2	1	no	—
288	#88183	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
294	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
295	C₂×#6103	—	2	1	no	—
296	C₂×#6103	—	2	1	no	—
297	#88180	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	#88178	C₂³	1	1	yes	characteristic
300	C₂×#6101	—	2	1	no	—
301	C₂×#6101	—	2	1	no	—
302	C₂×#6101	—	2	1	no	—
303	C₂×#6099	C₂³	1	1	yes	characteristic
304	C₂²×#1055	C₂³	1	1	yes	characteristic
305	#88173	—	4	2	no	—
306	#88172	—	4	2	no	—
307	#88170	—	2	4	no	—
308	#88161	—	4	2	no	—
309	M₁₆×D₁₃	—	4	2	no	—
310	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
311	C₂×#6095	C₂³	1	1	yes	characteristic
312	C₂×#6095	C₂³	1	1	yes	characteristic
313	C₂×#6094	C₂³	1	1	yes	characteristic
314	C₂×#6094	C₂³	1	1	yes	characteristic
315	C₂×#6094	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	#88152	—	2	1	no	—
322	#88152	—	2	1	no	—
323	#88151	—	2	1	no	—
324	#88151	C₂³	1	1	yes	characteristic
325	#88150	—	2	1	no	—
326	#88150	—	2	1	no	—
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88150	—	2	1	no	—
333	#88150	—	2	1	no	—
334	#88150	—	2	1	no	—
335	#88150	—	2	1	no	—
336	#88150	—	2	1	no	—
337	#88150	D₄	1	1	yes	characteristic
338	#88149	—	2	1	no	—
339	#88149	—	2	1	no	—
340	#88149	C₂³	1	1	yes	characteristic
341	#88149	C₂³	1	1	yes	characteristic
342	#88149	C₂³	1	1	yes	characteristic
343	#88148	—	2	1	no	—
344	#88148	—	2	1	no	—
345	#88148	—	2	1	no	—
346	#88148	—	2	1	no	—
347	#88148	—	2	1	no	—
348	#88148	—	2	1	no	—
349	#88148	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88148	D₄	1	1	yes	characteristic
352	#88147	—	2	1	no	—
353	#88147	—	2	1	no	—
354	#88147	—	2	1	no	—
355	#88147	—	2	1	no	—
356	#88147	—	2	1	no	—
357	#88147	C₂³	1	1	yes	characteristic
358	#88146	—	2	1	no	—
359	#88146	C₂³	1	1	yes	characteristic
360	#88146	C₂³	1	1	yes	characteristic
361	C₄⋊C₄×D₁₃	—	2	1	no	—
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	—	2	1	no	—
364	C₄⋊C₄×D₁₃	—	2	1	no	—
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	#88144	C₂³	1	1	yes	characteristic
372	#88143	—	2	1	no	—
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88143	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	C₂³	1	1	yes	characteristic
379	#88141	—	2	1	no	—
380	#88141	C₂³	1	1	yes	characteristic
381	#88140	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	D₄	1	1	yes	characteristic
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	D₄	1	1	yes	characteristic
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	D₄	1	1	yes	characteristic
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	#88133	—	2	1	no	—
404	#88132	—	2	1	no	—
405	#88132	—	2	1	no	—
406	#88132	—	2	1	no	—
407	#88132	D₄	1	1	yes	characteristic
408	#88131	—	2	1	no	—
409	#88130	—	2	1	no	—
410	#88129	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	#88126	—	2	1	no	—
415	#88126	—	2	1	no	—
416	#88126	C₂³	1	1	yes	characteristic
417	#88124	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	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	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	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	#88050	C₂³	1	1	yes	characteristic
474	#88050	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	#88048	C₂³	1	1	yes	characteristic
483	#88048	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	#61193	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₁₃×#41	—	2	2	no	—
491	C₁₃×#41	—	2	2	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
526	#6131	—	2	2	no	—
527	#6131	—	2	2	no	—
528	#6131	—	2	2	no	—
529	#6131	—	2	2	no	—
530	#6131	—	8	2	no	—
531	Q₈×D₁₃	—	2	2	no	—
532	Q₈×D₁₃	—	2	2	no	—
533	Q₈×D₁₃	—	2	2	no	—
534	Q₈×D₁₃	—	2	2	no	—
535	Q₈×D₁₃	—	4	1	no	—
536	Q₈×D₁₃	—	4	1	no	—
537	#6129	—	2	2	no	—
538	#6129	—	2	2	no	—
539	#6129	—	4	1	no	—
540	#6129	—	4	4	no	—
541	#6129	—	4	4	no	—
542	#6129	—	4	4	no	—
543	#6129	#41	1	4	yes	complemented
544	D₄×D₁₃	—	2	2	no	—
545	D₄×D₁₃	—	4	1	no	—
546	D₄×D₁₃	—	4	4	no	—
547	#6127	—	2	2	no	—
548	#6127	—	2	2	no	—
549	#6127	—	2	2	no	—
550	#6127	—	4	1	no	—
551	#6127	—	4	4	no	—
552	#6127	—	4	4	no	—
553	#6127	—	8	2	no	—
554	C₂×D₅₂	—	2	1	no	—
555	C₂×D₅₂	—	2	1	no	—
556	C₂×D₅₂	—	2	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
560	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
561	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
562	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₁₃	—	2	2	no	—
564	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	4	4	no	—
580	C₂×C₄×D₁₃	—	8	2	no	—
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	2	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	—	2	1	no	—
592	C₂×Dic₂₆	—	4	1	no	—
593	C₂×Dic₂₆	—	4	4	no	—
594	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
595	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
597	C₁₃×Q₁₆	—	4	1	no	—
598	C₁₃×Q₁₆	—	4	1	no	—
599	C₁₃×SD₁₆	—	2	2	no	—
600	C₁₃×M₁₆	—	4	1	no	—
601	C₁₃×M₁₆	—	4	1	no	—
602	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₄²×C₁₃	—	2	1	no	—
629	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	#6107	—	2	2	no	—
636	#6107	—	4	1	no	—
637	#6106	—	4	1	no	—
638	#6106	—	4	1	no	—
639	#6106	—	4	1	no	—
640	#6104	—	2	2	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	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	C₂×D₄	1	1	yes	characteristic
661	#6103	C₂×D₄	1	1	yes	characteristic
662	#6103	C₂×D₄	1	1	yes	characteristic
663	#6103	C₂×D₄	1	1	yes	characteristic
664	#6103	C₂×D₄	1	1	yes	characteristic
665	#6103	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₁₃	—	2	1	no	—
667	C₄⋊Dic₁₃	—	2	1	no	—
668	C₄⋊Dic₁₃	—	2	1	no	—
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
696	#6101	C₂×D₄	1	1	yes	characteristic
697	#6101	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6099	—	4	1	no	—
706	C₂×#1055	—	4	1	no	—
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	D₁₀₄	—	4	1	no	—
712	#6095	—	2	2	no	—
713	#6095	—	4	1	no	—
714	#6094	—	2	2	no	—
715	#6094	—	2	2	no	—
716	#6094	—	4	1	no	—
717	C₈×D₁₃	—	2	2	no	—
718	C₈×D₁₃	—	2	2	no	—
719	C₈×D₁₃	—	4	1	no	—
720	C₈×D₁₃	—	4	1	no	—
721	C₈×D₁₃	—	4	1	no	—
722	#3492	—	13	1	no	—
723	#3489	—	13	1	no	—
724	#3331	—	13	1	no	—
725	#3331	D₁₃	1	1	yes	characteristic, complemented
726	#3326	—	13	1	no	—
727	#3326	—	13	1	no	—
728	#3316	—	13	1	no	—
729	#3316	—	13	1	no	—
730	#3312	—	13	1	no	—
731	#3312	—	13	1	no	—
732	#3307	—	13	1	no	—
733	#3307	—	13	1	no	—
734	#3306	—	13	1	no	—
735	#3306	—	13	1	no	—
736	#3298	—	13	1	no	—
737	#3298	—	13	1	no	—
738	#3296	—	13	1	no	—
739	#3296	—	13	1	no	—
740	#3137	—	13	1	no	—
741	#3099	—	13	1	no	—
742	C₂×#483	—	13	1	no	—
743	#3084	—	13	1	no	—
744	#3060	—	13	1	no	—
745	#3056	—	13	1	no	—
746	#3046	—	13	1	no	—
747	#3013	—	13	1	no	—
748	#3002	—	13	1	no	—
749	#2952	—	13	1	no	—
750	#2933	—	13	1	no	—
751	#2898	—	13	1	no	—
752	C₂×#417	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	—	2	2	no	—
757	C₂²×D₁₃	—	2	2	no	—
758	C₂²×D₁₃	—	2	1	no	—
759	C₂²×D₁₃	—	2	1	no	—
760	C₂²×D₁₃	—	4	1	no	—
761	C₂²×D₁₃	—	4	2	no	—
762	C₂²×D₁₃	—	4	2	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
765	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	2	1	no	—
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	8	1	no	—
774	D₄×C₁₃	—	2	1	no	—
775	D₄×C₁₃	—	4	1	no	—
776	D₄×C₁₃	—	4	2	no	—
777	D₄×C₁₃	—	4	2	no	—
778	D₄×C₁₃	C₂×#41	1	2	yes	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	2	no	—
791	C₂×C₄×C₁₃	—	4	2	no	—
792	C₂×C₄×C₁₃	—	8	1	no	—
793	C₂×C₄×C₁₃	—	8	1	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₁₃	—	2	2	no	—
801	C₂²⋊D₁₃	—	2	4	no	—
802	C₂²⋊D₁₃	—	2	2	no	—
803	C₂²⋊D₁₃	—	2	2	no	—
804	C₂²⋊D₁₃	—	4	1	no	—
805	C₂²⋊D₁₃	—	4	2	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	C₂²⋊D₁₃	—	8	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	4	no	—
813	C₂×Dic₁₃	—	2	2	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	4	2	no	—
820	C₂×Dic₁₃	—	4	2	no	—
821	C₂×Dic₁₃	—	8	1	no	—
822	C₂×Dic₁₃	—	8	1	no	—
823	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
828	D₅₂	—	2	2	no	—
829	D₅₂	—	2	2	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	2	1	no	—
833	D₅₂	—	2	1	no	—
834	D₅₂	—	4	2	no	—
835	D₅₂	—	4	2	no	—
836	D₅₂	—	4	2	no	—
837	D₅₂	—	8	1	no	—
838	D₅₂	—	8	1	no	—
839	C₄×D₁₃	—	2	2	no	—
840	C₄×D₁₃	—	2	1	no	—
841	C₄×D₁₃	—	2	1	no	—
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	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	—	4	2	no	—
850	C₄×D₁₃	—	4	2	no	—
851	C₄×D₁₃	—	4	2	no	—
852	C₄×D₁₃	—	4	2	no	—
853	C₄×D₁₃	—	8	1	no	—
854	C₄×D₁₃	—	8	1	no	—
855	C₄×D₁₃	—	8	1	no	—
856	C₄×D₁₃	—	8	1	no	—
857	C₄×D₁₃	—	8	1	no	—
858	C₄×D₁₃	—	8	1	no	—
859	C₄×D₁₃	C₂×#41	1	2	yes	—
860	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
861	Dic₂₆	—	2	1	no	—
862	Dic₂₆	—	2	2	no	—
863	Dic₂₆	—	2	1	no	—
864	Dic₂₆	—	2	1	no	—
865	Dic₂₆	—	4	2	no	—
866	Dic₂₆	—	4	2	no	—
867	Dic₂₆	—	4	2	no	—
868	Dic₂₆	—	4	2	no	—
869	Dic₂₆	—	8	1	no	—
870	Dic₂₆	C₂×#41	1	2	yes	—
871	C₈×C₁₃	—	2	1	no	—
872	C₈×C₁₃	—	2	1	no	—
873	C₈×C₁₃	—	2	1	no	—
874	C₈×C₁₃	—	2	1	no	—
875	#1055	—	2	1	no	—
876	#1055	—	2	1	no	—
877	#1055	—	2	1	no	—
878	#1055	—	2	1	no	—
879	C₂×2₋¹⁺⁴	—	13	1	no	—
880	C₂²×#41	—	13	1	no	—
881	C₂×#137	—	13	1	no	—
882	C₂×#135	—	13	1	no	—
883	C₂×#135	—	13	1	no	—
884	C₂×#131	—	13	1	no	—
885	C₂²×M₁₆	—	13	1	no	—
886	#554	—	13	1	no	—
887	#554	—	26	1	no	—
888	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
889	#553	—	13	1	no	—
890	#553	—	13	1	no	—
891	#553	—	26	1	no	—
892	#552	—	13	1	no	—
893	#552	—	13	1	no	—
894	#552	—	26	1	no	—
895	D₄×Q₈	—	13	1	no	—
896	D₄×Q₈	—	13	1	no	—
897	#548	—	13	1	no	—
898	#548	—	13	1	no	—
899	#547	—	13	1	no	—
900	#547	—	13	1	no	—
901	#547	—	13	1	no	—
902	#547	—	26	1	no	—
903	#547	—	26	1	no	—
904	#547	—	26	1	no	—
905	#547	C₂×D₁₃	1	1	yes	characteristic
906	#546	—	13	1	no	—
907	#546	—	13	1	no	—
908	#546	—	26	1	no	—
909	#546	—	26	1	no	—
910	#544	—	13	1	no	—
911	#539	—	26	1	no	—
912	#539	—	26	1	no	—
913	#537	—	13	1	no	—
914	#537	—	13	1	no	—
915	#537	—	26	1	no	—
916	#536	—	13	1	no	—
917	#536	—	26	1	no	—
918	#525	—	13	1	no	—
919	#525	—	13	1	no	—
920	#525	—	26	1	no	—
921	#525	—	26	1	no	—
922	#525	—	26	1	no	—
923	C₂×C₂²⋊Q₈	—	13	1	no	—
924	C₂×C₂²⋊Q₈	—	26	1	no	—
925	#520	—	13	1	no	—
926	#520	—	13	1	no	—
927	#520	—	13	1	no	—
928	C₂²×C₄⋊C₄	—	13	1	no	—
929	#491	—	13	1	no	—
930	#491	—	13	1	no	—
931	#489	—	13	1	no	—
932	#489	—	13	1	no	—
933	#488	—	13	1	no	—
934	#488	—	13	1	no	—
935	#487	—	13	1	no	—
936	#487	C₂×D₁₃	1	1	yes	characteristic, complemented
937	#485	—	13	1	no	—
938	#485	—	13	1	no	—
939	#483	—	13	1	no	—
940	#483	—	13	1	no	—
941	#483	—	13	1	no	—
942	#483	—	13	1	no	—
943	#483	—	13	1	no	—
944	#483	—	13	1	no	—
945	#483	—	13	1	no	—
946	#483	—	13	1	no	—
947	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#482	—	13	1	no	—
950	#482	—	13	1	no	—
951	#481	—	13	1	no	—
952	#481	—	13	1	no	—
953	#479	—	13	1	no	—
954	#479	—	13	1	no	—
955	#478	—	13	1	no	—
956	#478	—	13	1	no	—
957	#476	—	13	1	no	—
958	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#475	—	13	1	no	—
960	#475	—	13	1	no	—
961	#470	—	13	1	no	—
962	#470	—	13	1	no	—
963	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
964	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
965	#469	—	13	1	no	—
966	#469	—	13	1	no	—
967	#468	—	13	1	no	—
968	#468	—	13	1	no	—
969	#467	—	13	1	no	—
970	#467	—	13	1	no	—
971	#465	—	13	1	no	—
972	#465	—	13	1	no	—
973	#465	—	13	1	no	—
974	#465	—	13	1	no	—
975	#465	—	13	1	no	—
976	#465	—	13	1	no	—
977	#464	—	13	1	no	—
978	#464	—	13	1	no	—
979	#463	—	13	1	no	—
980	#463	—	13	1	no	—
981	#462	—	13	1	no	—
982	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#461	—	13	1	no	—
984	#461	—	13	1	no	—
985	#452	—	13	1	no	—
986	#452	—	13	1	no	—
987	#452	C₂×D₁₃	1	1	yes	characteristic
988	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#451	—	13	1	no	—
990	#451	—	13	1	no	—
991	#451	—	13	1	no	—
992	#450	—	13	1	no	—
993	#449	—	13	1	no	—
994	#449	—	13	1	no	—
995	#449	—	13	1	no	—
996	#449	—	13	1	no	—
997	#448	—	13	1	no	—
998	#448	—	13	1	no	—
999	#448	—	13	1	no	—
1000	#447	—	13	1	no	—
1001	#442	—	13	1	no	—
1002	#442	—	13	1	no	—
1003	#441	—	13	1	no	—
1004	#441	—	13	1	no	—
1005	C₄×SD₁₆	—	13	1	no	—
1006	C₄×SD₁₆	—	13	1	no	—
1007	C₄×SD₁₆	—	13	1	no	—
1008	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#436	—	13	1	no	—
1010	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#435	—	13	1	no	—
1012	#435	—	13	1	no	—
1013	#435	—	13	1	no	—
1014	#435	—	13	1	no	—
1015	C₈×D₄	—	13	1	no	—
1016	C₈×D₄	—	13	1	no	—
1017	#428	—	13	1	no	—
1018	C₂×#106	—	13	1	no	—
1019	C₂×#106	—	13	1	no	—
1020	#424	—	13	1	no	—
1021	#419	—	13	1	no	—
1022	#419	—	13	1	no	—
1023	#419	—	13	1	no	—
1024	#417	—	13	1	no	—
1025	#417	—	13	1	no	—
1026	#417	—	13	1	no	—
1027	#417	—	13	1	no	—
1028	#417	—	13	1	no	—
1029	#417	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#417	—	13	1	no	—
1033	#417	C₂×D₁₃	1	1	yes	characteristic
1034	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	#416	—	13	1	no	—
1036	#416	—	13	1	no	—
1037	#416	—	13	1	no	—
1038	#416	—	13	1	no	—
1039	C₂×#103	—	13	1	no	—
1040	C₂×#103	—	13	1	no	—
1041	C₂×#103	—	13	1	no	—
1042	C₂×#103	—	13	1	no	—
1043	C₂×#103	—	13	1	no	—
1044	C₂×#103	—	13	1	no	—
1045	C₂×#102	—	13	1	no	—
1046	C₂×#102	—	13	1	no	—
1047	#408	—	13	1	no	—
1048	C₂×C₂²⋊C₈	—	13	1	no	—
1049	#405	—	13	1	no	—
1050	C₂²×C₁₃	—	2	1	no	—
1051	C₂²×C₁₃	—	2	1	no	—
1052	C₂²×C₁₃	—	2	2	no	—
1053	C₂²×C₁₃	—	2	1	no	—
1054	C₂²×C₁₃	—	2	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	2	1	no	—
1064	C₂×D₁₃	—	2	1	no	—
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	1	no	—
1067	C₂×D₁₃	—	4	4	no	—
1068	C₂×D₁₃	—	4	1	no	—
1069	C₂×D₁₃	—	4	1	no	—
1070	C₂×D₁₃	—	4	1	no	—
1071	C₂×D₁₃	—	4	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	8	4	no	—
1075	C₂×D₁₃	#546	1	2	yes	—
1076	C₂×D₁₃	#577	1	2	yes	—
1077	C₄×C₁₃	—	2	1	no	—
1078	C₄×C₁₃	—	2	1	no	—
1079	C₄×C₁₃	—	2	1	no	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	4	1	no	—
1082	C₄×C₁₃	—	4	1	no	—
1083	C₄×C₁₃	—	4	1	no	—
1084	C₄×C₁₃	—	4	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1089	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1090	Dic₁₃	—	2	1	no	—
1091	Dic₁₃	—	2	1	no	—
1092	Dic₁₃	—	2	2	no	—
1093	Dic₁₃	—	2	1	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	4	1	no	—
1096	Dic₁₃	—	4	1	no	—
1097	Dic₁₃	—	4	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	#546	1	2	yes	—
1101	2₋¹⁺⁴	—	26	4	no	—
1102	2₋¹⁺⁴	—	52	2	no	—
1103	C₂×#41	—	13	1	no	—
1104	C₂×#41	—	13	1	no	—
1105	C₂×#41	—	13	1	no	—
1106	C₂×#41	—	13	1	no	—
1107	C₂×#41	—	13	1	no	—
1108	C₂×#41	—	13	1	no	—
1109	C₂×#41	—	26	1	no	—
1110	C₂×#41	—	26	1	no	—
1111	C₂×#41	—	26	1	no	—
1112	C₂×#41	—	26	1	no	—
1113	C₂×#41	—	26	1	no	—
1114	C₂×#41	—	26	1	no	—
1115	C₂×#41	—	26	1	no	—
1116	C₂×#41	—	26	4	no	—
1117	C₂×#41	—	52	2	no	—
1118	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1119	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1120	C₂²×Q₈	—	13	1	no	—
1121	C₂²×Q₈	—	13	1	no	—
1122	C₂²×Q₈	—	13	1	no	—
1123	C₂²×Q₈	—	13	1	no	—
1124	C₂²×Q₈	—	26	1	no	—
1125	C₂²×D₄	—	13	1	no	—
1126	C₂²×D₄	—	26	1	no	—
1127	C₂³×C₄	—	13	1	no	—
1128	C₂³×C₄	—	26	1	no	—
1129	C₂³×C₄	—	26	1	no	—
1130	#137	—	52	2	no	—
1131	#135	—	26	4	no	—
1132	#135	—	52	2	no	—
1133	C₂×Q₁₆	—	13	1	no	—
1134	C₂×Q₁₆	—	13	1	no	—
1135	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂×SD₁₆	—	13	1	no	—
1138	C₂×SD₁₆	—	13	1	no	—
1139	C₂×SD₁₆	—	13	1	no	—
1140	C₂×SD₁₆	—	13	1	no	—
1141	C₂×SD₁₆	—	13	1	no	—
1142	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×D₈	—	13	1	no	—
1144	C₂×D₈	—	13	1	no	—
1145	#131	—	52	2	no	—
1146	C₂×M₁₆	—	13	1	no	—
1147	C₂×M₁₆	—	13	1	no	—
1148	C₂×M₁₆	—	13	1	no	—
1149	C₂×M₁₆	—	13	1	no	—
1150	C₂×M₁₆	—	52	2	no	—
1151	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂²×C₈	—	13	1	no	—
1154	C₂²×C₈	—	13	1	no	—
1155	C₂²×C₈	—	13	1	no	—
1156	C₂²×C₈	—	13	1	no	—
1157	C₂²×C₈	—	13	1	no	—
1158	C₂²×C₈	—	13	1	no	—
1159	C₄⋊Q₈	—	13	1	no	—
1160	C₄⋊Q₈	—	13	1	no	—
1161	C₄⋊Q₈	—	26	1	no	—
1162	C₄⋊Q₈	—	26	1	no	—
1163	C₄⋊Q₈	—	26	1	no	—
1164	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1165	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1166	#126	—	26	1	no	—
1167	#126	—	26	1	no	—
1168	#126	—	26	1	no	—
1169	#126	—	26	1	no	—
1170	#125	—	2	1	no	—
1171	#125	—	13	1	no	—
1172	#125	—	13	1	no	—
1173	#125	—	26	1	no	—
1174	#125	—	26	1	no	—
1175	#125	—	26	1	no	—
1176	#125	—	26	1	no	—
1177	#124	—	13	1	no	—
1178	#124	—	13	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	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	13	1	no	—
1205	C₂²⋊Q₈	—	13	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	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	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	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#120	—	13	1	no	—
1255	#120	—	13	1	no	—
1256	#120	—	26	1	no	—
1257	#120	—	26	1	no	—
1258	#120	—	26	1	no	—
1259	C₄×Q₈	—	13	1	no	—
1260	C₄×Q₈	—	13	1	no	—
1261	C₄×Q₈	—	13	1	no	—
1262	C₄×Q₈	—	26	1	no	—
1263	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	13	1	no	—
1268	C₄×D₄	—	13	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	13	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	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1288	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1289	#117	—	13	1	no	—
1290	#117	—	13	1	no	—
1291	#117	—	13	1	no	—
1292	#117	—	13	1	no	—
1293	#117	—	26	1	no	—
1294	#117	—	26	1	no	—
1295	#117	—	26	1	no	—
1296	#117	—	26	1	no	—
1297	C₂×C₄⋊C₄	—	2	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	13	1	no	—
1302	C₂×C₄⋊C₄	—	13	1	no	—
1303	C₂×C₄⋊C₄	—	13	1	no	—
1304	C₂×C₄⋊C₄	—	13	1	no	—
1305	C₂×C₄⋊C₄	—	26	1	no	—
1306	C₂×C₄⋊C₄	—	26	1	no	—
1307	C₂×C₄⋊C₄	—	26	1	no	—
1308	C₂×C₄⋊C₄	—	26	1	no	—
1309	C₂×C₄⋊C₄	—	26	1	no	—
1310	C₂×C₄⋊C₄	—	26	1	no	—
1311	C₂×C₄⋊C₄	—	26	1	no	—
1312	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1314	C₂×C₂²⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	26	1	no	—
1316	C₂×C₂²⋊C₄	—	26	1	no	—
1317	#107	—	13	1	no	—
1318	#107	—	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	—	13	1	no	—
1324	#106	—	13	1	no	—
1325	#106	—	13	1	no	—
1326	#106	C₂²×D₁₃	1	1	yes	characteristic
1327	#106	C₂²×D₁₃	1	1	yes	characteristic
1328	#106	C₂²×D₁₃	1	1	yes	characteristic
1329	C₄⋊C₈	—	13	1	no	—
1330	C₄⋊C₈	—	13	1	no	—
1331	C₄⋊C₈	—	13	1	no	—
1332	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	C₂²×D₁₃	1	1	yes	characteristic
1354	#103	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	C₂²×D₁₃	1	1	yes	characteristic
1356	#103	C₂²×D₁₃	1	1	yes	characteristic
1357	#103	C₂²×D₁₃	1	1	yes	characteristic
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	C₂²×D₁₃	1	1	yes	characteristic
1371	#102	C₂²×D₁₃	1	1	yes	characteristic
1372	#102	C₂²×D₁₃	1	1	yes	characteristic
1373	C₂²⋊C₈	—	13	1	no	—
1374	C₂²⋊C₈	—	13	1	no	—
1375	C₂²⋊C₈	—	13	1	no	—
1376	C₂²⋊C₈	—	13	1	no	—
1377	C₂²⋊C₈	—	13	1	no	—
1378	C₂²⋊C₈	—	13	1	no	—
1379	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1381	#97	—	13	1	no	—
1382	#97	—	13	1	no	—
1383	C₄×C₈	—	13	1	no	—
1384	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1385	C₂×C₁₃	—	4	1	no	—
1386	C₂×C₁₃	—	4	2	no	—
1387	C₂×C₁₃	—	4	1	no	—
1388	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1389	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1390	C₂×C₁₃	#3586	1	1	yes	characteristic
1391	D₁₃	—	2	2	no	—
1392	D₁₃	—	2	2	no	—
1393	D₁₃	—	4	1	no	—
1394	D₁₃	—	8	1	no	—
1395	D₁₃	—	8	1	no	—
1396	C₂⁴	—	13	1	no	—
1397	C₂⁴	—	26	1	no	—
1398	#41	—	2	2	no	—
1399	#41	—	2	2	no	—
1400	#41	—	4	1	no	—
1401	#41	—	4	1	no	—
1402	#41	—	13	4	no	—
1403	#41	—	26	2	no	—
1404	#41	—	26	2	no	—
1405	#41	—	26	2	no	—
1406	#41	—	26	2	no	—
1407	#41	—	26	2	no	—
1408	#41	—	26	2	no	—
1409	#41	—	26	2	no	—
1410	#41	—	26	2	no	—
1411	#41	—	26	2	no	—
1412	#41	—	52	1	no	—
1413	#41	—	52	4	no	—
1414	#41	—	52	4	no	—
1415	#41	—	52	4	no	—
1416	#41	—	52	1	no	—
1417	#41	—	52	4	no	—
1418	#41	—	52	4	no	—
1419	#41	—	104	2	no	—
1420	#41	—	104	2	no	—
1421	C₂×Q₈	—	2	1	no	—
1422	C₂×Q₈	—	13	1	no	—
1423	C₂×Q₈	—	13	1	no	—
1424	C₂×Q₈	—	13	1	no	—
1425	C₂×Q₈	—	26	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	—	26	1	no	—
1428	C₂×Q₈	—	26	1	no	—
1429	C₂×Q₈	—	26	2	no	—
1430	C₂×Q₈	—	26	2	no	—
1431	C₂×Q₈	—	26	2	no	—
1432	C₂×Q₈	—	26	1	no	—
1433	C₂×Q₈	—	26	2	no	—
1434	C₂×Q₈	—	26	2	no	—
1435	C₂×Q₈	—	52	1	no	—
1436	C₂×Q₈	—	52	4	no	—
1437	C₂×Q₈	—	52	1	no	—
1438	C₂×Q₈	—	52	1	no	—
1439	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	13	1	no	—
1445	C₂×D₄	—	13	1	no	—
1446	C₂×D₄	—	13	1	no	—
1447	C₂×D₄	—	13	1	no	—
1448	C₂×D₄	—	13	1	no	—
1449	C₂×D₄	—	13	1	no	—
1450	C₂×D₄	—	13	1	no	—
1451	C₂×D₄	—	13	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	26	2	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	1	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	26	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	52	1	no	—
1466	C₂×D₄	—	52	4	no	—
1467	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1468	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	13	1	no	—
1479	C₂²×C₄	—	13	1	no	—
1480	C₂²×C₄	—	26	2	no	—
1481	C₂²×C₄	—	26	2	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	26	1	no	—
1492	C₂²×C₄	—	26	1	no	—
1493	C₂²×C₄	—	26	1	no	—
1494	C₂²×C₄	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	52	4	no	—
1502	C₂²×C₄	—	104	2	no	—
1503	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1504	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1505	Q₁₆	—	4	1	no	—
1506	Q₁₆	—	4	1	no	—
1507	Q₁₆	—	26	2	no	—
1508	Q₁₆	—	52	1	no	—
1509	SD₁₆	—	2	2	no	—
1510	SD₁₆	—	26	2	no	—
1511	SD₁₆	—	52	1	no	—
1512	SD₁₆	—	52	1	no	—
1513	SD₁₆	—	52	1	no	—
1514	SD₁₆	—	52	1	no	—
1515	D₈	—	26	2	no	—
1516	D₈	—	52	1	no	—
1517	M₁₆	—	4	1	no	—
1518	M₁₆	—	4	1	no	—
1519	M₁₆	—	26	2	no	—
1520	M₁₆	—	26	2	no	—
1521	M₁₆	—	52	1	no	—
1522	M₁₆	—	52	1	no	—
1523	C₂×C₈	—	13	1	no	—
1524	C₂×C₈	—	13	1	no	—
1525	C₂×C₈	—	13	1	no	—
1526	C₂×C₈	—	13	1	no	—
1527	C₂×C₈	—	26	2	no	—
1528	C₂×C₈	—	26	2	no	—
1529	C₂×C₈	—	52	1	no	—
1530	C₂×C₈	—	52	1	no	—
1531	C₂×C₈	—	52	1	no	—
1532	C₂×C₈	—	52	1	no	—
1533	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1534	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	13	1	no	—
1548	C₄⋊C₄	—	13	1	no	—
1549	C₄⋊C₄	—	13	1	no	—
1550	C₄⋊C₄	—	13	1	no	—
1551	C₄⋊C₄	—	13	1	no	—
1552	C₄⋊C₄	—	13	1	no	—
1553	C₄⋊C₄	—	13	1	no	—
1554	C₄⋊C₄	—	13	1	no	—
1555	C₄⋊C₄	—	13	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	—	26	1	no	—
1564	C₄⋊C₄	—	26	1	no	—
1565	C₄⋊C₄	—	26	1	no	—
1566	C₄⋊C₄	—	26	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1580	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	13	1	no	—
1590	C₂²⋊C₄	—	13	1	no	—
1591	C₂²⋊C₄	—	13	1	no	—
1592	C₂²⋊C₄	—	13	1	no	—
1593	C₂²⋊C₄	—	13	1	no	—
1594	C₂²⋊C₄	—	13	1	no	—
1595	C₂²⋊C₄	—	13	1	no	—
1596	C₂²⋊C₄	—	13	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	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1620	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1621	C₄²	—	2	1	no	—
1622	C₄²	—	13	1	no	—
1623	C₄²	—	26	1	no	—
1624	C₄²	—	26	1	no	—
1625	C₄²	—	26	1	no	—
1626	C₄²	—	26	1	no	—
1627	C₄²	—	26	1	no	—
1628	C₄²	—	26	1	no	—
1629	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1630	C₁₃	#61193	1	1	yes	characteristic, complemented, Sylow
1631	C₂³	—	2	1	no	—
1632	C₂³	—	13	1	no	—
1633	C₂³	—	13	1	no	—
1634	C₂³	—	13	1	no	—
1635	C₂³	—	26	2	no	—
1636	C₂³	—	26	2	no	—
1637	C₂³	—	26	1	no	—
1638	C₂³	—	26	1	no	—
1639	C₂³	—	52	1	no	—
1640	C₂³	—	52	2	no	—
1641	C₂³	—	52	2	no	—
1642	C₂³	—	104	1	no	—
1643	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1644	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1645	Q₈	—	2	1	no	—
1646	Q₈	—	2	1	no	—
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	2	1	no	—
1650	Q₈	—	2	1	no	—
1651	Q₈	—	8	1	no	—
1652	Q₈	—	13	2	no	—
1653	Q₈	—	26	2	no	—
1654	Q₈	—	26	1	no	—
1655	Q₈	—	26	1	no	—
1656	Q₈	—	26	1	no	—
1657	Q₈	—	52	2	no	—
1658	Q₈	—	52	2	no	—
1659	Q₈	—	52	2	no	—
1660	Q₈	—	52	2	no	—
1661	Q₈	—	104	1	no	—
1662	D₄	—	2	1	no	—
1663	D₄	—	4	1	no	—
1664	D₄	—	4	2	no	—
1665	D₄	—	4	2	no	—
1666	D₄	—	26	2	no	—
1667	D₄	—	26	2	no	—
1668	D₄	—	26	2	no	—
1669	D₄	—	26	2	no	—
1670	D₄	—	26	2	no	—
1671	D₄	—	26	4	no	—
1672	D₄	—	26	1	no	—
1673	D₄	—	26	1	no	—
1674	D₄	—	26	1	no	—
1675	D₄	—	26	1	no	—
1676	D₄	—	52	2	no	—
1677	D₄	—	52	2	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	1	no	—
1680	D₄	—	52	2	no	—
1681	D₄	—	52	2	no	—
1682	D₄	—	52	2	no	—
1683	D₄	—	52	2	no	—
1684	D₄	—	104	1	no	—
1685	D₄	—	104	1	no	—
1686	D₄	—	104	1	no	—
1687	D₄	—	104	1	no	—
1688	D₄	#41×D₁₃	1	2	yes	—
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	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	4	2	no	—
1701	C₂×C₄	—	4	2	no	—
1702	C₂×C₄	—	8	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	13	1	no	—
1706	C₂×C₄	—	13	2	no	—
1707	C₂×C₄	—	13	2	no	—
1708	C₂×C₄	—	13	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	13	1	no	—
1711	C₂×C₄	—	13	1	no	—
1712	C₂×C₄	—	26	2	no	—
1713	C₂×C₄	—	26	2	no	—
1714	C₂×C₄	—	26	2	no	—
1715	C₂×C₄	—	26	4	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	26	1	no	—
1721	C₂×C₄	—	26	1	no	—
1722	C₂×C₄	—	26	1	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	52	2	no	—
1727	C₂×C₄	—	52	2	no	—
1728	C₂×C₄	—	52	2	no	—
1729	C₂×C₄	—	52	2	no	—
1730	C₂×C₄	—	52	2	no	—
1731	C₂×C₄	—	52	2	no	—
1732	C₂×C₄	—	52	2	no	—
1733	C₂×C₄	—	52	2	no	—
1734	C₂×C₄	—	52	2	no	—
1735	C₂×C₄	—	52	2	no	—
1736	C₂×C₄	—	104	1	no	—
1737	C₂×C₄	—	104	1	no	—
1738	C₂×C₄	—	104	1	no	—
1739	C₂×C₄	—	104	1	no	—
1740	C₂×C₄	—	104	1	no	—
1741	C₂×C₄	—	104	1	no	—
1742	C₂×C₄	—	104	1	no	—
1743	C₂×C₄	—	104	1	no	—
1744	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1745	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1746	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1747	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1748	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1749	C₈	—	2	1	no	—
1750	C₈	—	2	1	no	—
1751	C₈	—	2	1	no	—
1752	C₈	—	2	1	no	—
1753	C₈	—	26	1	no	—
1754	C₈	—	26	1	no	—
1755	C₈	—	26	1	no	—
1756	C₈	—	26	1	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	2	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	2	1	no	—
1763	C₂²	—	2	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	13	2	no	—
1767	C₂²	—	13	2	no	—
1768	C₂²	—	26	1	no	—
1769	C₂²	—	26	1	no	—
1770	C₂²	—	26	1	no	—
1771	C₂²	—	26	1	no	—
1772	C₂²	—	26	1	no	—
1773	C₂²	—	26	1	no	—
1774	C₂²	—	26	1	no	—
1775	C₂²	—	52	4	no	—
1776	C₂²	—	52	1	no	—
1777	C₂²	—	52	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	—	52	1	no	—
1780	C₂²	—	52	1	no	—
1781	C₂²	—	52	1	no	—
1782	C₂²	—	104	4	no	—
1783	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1784	C₄	—	2	1	no	—
1785	C₄	—	2	1	no	—
1786	C₄	—	2	1	no	—
1787	C₄	—	2	1	no	—
1788	C₄	—	4	1	no	—
1789	C₄	—	4	1	no	—
1790	C₄	—	4	1	no	—
1791	C₄	—	4	1	no	—
1792	C₄	—	4	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	13	2	no	—
1796	C₄	—	26	1	no	—
1797	C₄	—	26	1	no	—
1798	C₄	—	26	2	no	—
1799	C₄	—	26	1	no	—
1800	C₄	—	26	1	no	—
1801	C₄	—	52	1	no	—
1802	C₄	—	52	1	no	—
1803	C₄	—	52	1	no	—
1804	C₄	—	52	1	no	—
1805	C₄	—	52	1	no	—
1806	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1807	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1808	C₂	—	4	1	no	—
1809	C₂	—	4	1	no	—
1810	C₂	—	4	2	no	—
1811	C₂	—	26	2	no	—
1812	C₂	—	26	2	no	—
1813	C₂	—	52	1	no	—
1814	C₂	—	104	1	no	—
1815	C₂	—	104	1	no	—
1816	C₂	D₁₃×#546	1	1	yes	characteristic
1817	C₂	D₁₃×#577	1	1	yes	characteristic
1818	C₂	#13129619	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×#3331	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3331	D₁₃
hypocenter	C₁₃	#61193
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3331

Complements

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

N	H ≅ G/N	type
1. #13128544	C₂	semidirect
2. #13128510	C₂	semidirect
3. #13127145	C₂	semidirect
4. #13127092	C₂	semidirect
5. #13127091	C₂	semidirect
6. #13126942	C₂	semidirect
7. #13126941	C₂	semidirect
8. #13126894	C₂	semidirect
9. #13126882	C₂	semidirect
10. #13126813	C₂	semidirect
11. #13126812	C₂	semidirect
12. #13126798	C₂	semidirect
13. #13126794	C₂	semidirect
14. #13126700	C₂	semidirect
15. #13126699	C₂	semidirect
16. #13126676	C₂	semidirect
17. #13126664	C₂	semidirect
18. #13125196	C₂	semidirect
19. #13124820	C₂	semidirect
20. D₁₃×#483	C₂	semidirect
21. #13124693	C₂	semidirect
22. #13124500	C₂	semidirect
23. #13124465	C₂	semidirect
24. #13124383	C₂	semidirect
25. #13124155	C₂	semidirect
26. #13124057	C₂	semidirect
27. #13123714	C₂	semidirect
28. #13123565	C₂	semidirect
29. #13123367	C₂	semidirect
30. D₁₃×#417	C₂	semidirect
31. C₁₃×#3331	C₂	semidirect
34. C₁₃×#554	C₂²	semidirect
39. C₂×#88172	C₂²	semidirect
41. C₂×#88161	C₂²	semidirect
43. #11719434	C₂²	semidirect
56. #11719340	C₂²	semidirect
61. #11719334	C₂²	semidirect
68. #11719279	C₂²	semidirect
69. #11719270	C₂²	semidirect
76. #11719219	C₂²	semidirect
80. #11719209	C₂²	semidirect
82. C₁₃×#487	C₂²	semidirect
83. C₁₃×#483	C₂²	semidirect
84. C₁₃×#483	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#470	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₁₃×#436	C₂²	semidirect
94. C₁₃×#417	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
99. #11718850	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718834	C₂²	semidirect
107. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718795	C₂²	semidirect
112. #11718788	C₂²	semidirect
113. #11718781	C₂²	semidirect
114. #11718755	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718744	C₂²	semidirect
117. #11718743	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718711	C₂²	semidirect
120. #11718710	C₂²	semidirect
121. #11718709	C₂²	semidirect
122. #11718709	C₂²	semidirect
124. #11718706	C₂²	semidirect
125. #11718704	C₂²	semidirect
126. #11718691	C₂²	semidirect
127. #11718689	C₂²	semidirect
128. #11718675	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718632	C₂²	semidirect
132. C₂×#88050	C₂²	semidirect
133. #11718629	C₂²	semidirect
135. #11718527	C₂²	semidirect
136. #11718526	C₂²	semidirect
138. #11718524	C₂²	semidirect
141. #11718522	C₂²	semidirect
142. D₁₃×#106	C₂²	semidirect
143. D₁₃×#106	C₂²	semidirect
144. #11718518	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718505	C₂²	semidirect
148. #11718500	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718479	C₂²	semidirect
153. #11718475	C₂²	semidirect
156. #11718468	C₂²	semidirect
157. #11718468	C₂²	semidirect
159. #11718467	C₂²	semidirect
162. #11718466	C₂²	semidirect
166. #11718464	C₂²	semidirect
167. #11718463	C₂²	semidirect
168. #11718463	C₂²	semidirect
171. D₁₃×#103	C₂²	semidirect
172. D₁₃×#103	C₂²	semidirect
173. D₁₃×#103	C₂²	semidirect
174. #11718461	C₂²	semidirect
175. #11718458	C₂²	semidirect
176. #11718456	C₂²	semidirect
177. #11718453	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718446	C₂²	semidirect
180. #11718442	C₂²	semidirect
183. #11718433	C₂²	semidirect
186. #11718432	C₂²	semidirect
189. #11718427	C₂²	semidirect
190. #11718422	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718398	C₂²	semidirect
194. #11718390	C₂²	semidirect
195. #11718388	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
543. #6129	#41	semidirect
725. #3331	D₁₃	semidirect
888. #554	C₂×D₁₃	semidirect
936. #487	C₂×D₁₃	semidirect
947. #483	C₂×D₁₃	semidirect
948. #483	C₂×D₁₃	semidirect
958. #476	C₂×D₁₃	semidirect
963. #470	C₂×D₁₃	semidirect
964. #470	C₂×D₁₃	semidirect
982. #462	C₂×D₁₃	semidirect
988. #452	C₂×D₁₃	semidirect
1008. C₄×SD₁₆	C₂×D₁₃	semidirect
1010. #436	C₂×D₁₃	semidirect
1034. #417	C₂×D₁₃	semidirect
1630. C₁₃	#61193	semidirect

Maximal subgroups

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

subgroup	index
#13128544	2
#13128510	2
#13127145	2
#13127092	2
#13127091	2
#13126942	2
#13126941	2
#13126894	2
#13126882	2
#13126813	2
#13126812	2
#13126798	2
#13126794	2
#13126700	2
#13126699	2
#13126676	2
#13126664	2
#13125196	2
#13124820	2
D₁₃×#483	2
#13124693	2
#13124500	2
#13124465	2
#13124383	2
#13124155	2
#13124057	2
#13123714	2
#13123565	2
#13123367	2
D₁₃×#417	2
C₁₃×#3331	2
#61193	13