Subgroups — #16747693

Order 3328.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128861	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128320	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126784	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126760	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126737	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126732	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126710	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126683	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126656	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126593	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126564	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126549	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126548	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126529	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126522	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125813	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125768	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125627	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125625	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125606	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125596	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124892	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124859	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124056	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124049	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718442	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123857	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
36	#11719529	C₂²	1	1	yes	characteristic, complemented
37	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
40	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
46	#11719414	—	2	1	no	—
47	#11719409	—	2	1	no	—
48	#11719400	C₂²	1	1	yes	characteristic, complemented
49	#11719396	C₂²	1	1	yes	characteristic, complemented
50	#11719382	C₂²	1	1	yes	characteristic, complemented
51	#11719373	C₂²	1	1	yes	characteristic, complemented
52	#11719368	—	2	1	no	—
53	#11719361	—	2	1	no	—
54	#11719360	—	2	1	no	—
55	#11719359	—	2	1	no	—
56	#11719337	C₂²	1	1	yes	characteristic
57	#11719332	C₂²	1	1	yes	characteristic, complemented
58	#11719322	—	2	1	no	—
59	#11719315	—	2	1	no	—
60	#11719314	—	2	1	no	—
61	#11719314	C₂²	1	1	yes	characteristic
62	#11719311	C₂²	1	1	yes	characteristic, complemented
63	#11719311	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
65	#11719304	C₂²	1	1	yes	characteristic, complemented
66	#11719304	C₂²	1	1	yes	characteristic, complemented
67	#11719301	—	2	1	no	—
68	#11719295	—	2	1	no	—
69	#11719291	—	2	1	no	—
70	#11719259	C₂²	1	1	yes	characteristic, complemented
71	#11719259	C₂²	1	1	yes	characteristic, complemented
72	#11719257	C₂²	1	1	yes	characteristic, complemented
73	#11719255	—	2	1	no	—
74	#11719255	C₂²	1	1	yes	characteristic, complemented
75	#11719253	C₂²	1	1	yes	characteristic, complemented
76	#11719250	—	2	1	no	—
77	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
78	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
79	#11719237	C₂²	1	1	yes	characteristic, complemented
80	#11719229	C₂²	1	1	yes	characteristic, complemented
81	#11719216	C₂²	1	1	yes	characteristic
82	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
83	#11719195	—	2	1	no	—
84	C₂×#88135	—	2	1	no	—
85	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
98	#11718899	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718836	C₂²	1	1	yes	characteristic, complemented
101	#11718834	C₂²	1	1	yes	characteristic, complemented
102	#11718833	C₂²	1	1	yes	characteristic, complemented
103	#11718819	C₂²	1	1	yes	characteristic, complemented
104	#11718819	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718812	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718775	C₂²	1	1	yes	characteristic, complemented
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
114	#11718729	C₂²	1	1	yes	characteristic, complemented
115	#11718724	C₂²	1	1	yes	characteristic, complemented
116	#11718720	C₂²	1	1	yes	characteristic, complemented
117	#11718718	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718707	C₂²	1	1	yes	characteristic, complemented
120	#11718702	C₂²	1	1	yes	characteristic, complemented
121	#11718701	C₂²	1	1	yes	characteristic, complemented
122	#11718699	C₂²	1	1	yes	characteristic, complemented
123	#11718699	C₂²	1	1	yes	characteristic, complemented
124	#11718698	C₂²	1	1	yes	characteristic, complemented
125	#11718698	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
127	#11718677	C₂²	1	1	yes	characteristic, complemented
128	#11718677	C₂²	1	1	yes	characteristic, complemented
129	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
130	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
131	#11718663	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
134	#11718629	C₂²	1	1	yes	characteristic, complemented
135	#11718548	C₂²	1	1	yes	characteristic, complemented
136	#11718546	C₂²	1	1	yes	characteristic, complemented
137	#11718546	C₂²	1	1	yes	characteristic, complemented
138	#11718545	C₂²	1	1	yes	characteristic, complemented
139	#11718544	C₂²	1	1	yes	characteristic, complemented
140	#11718544	C₂²	1	1	yes	characteristic, complemented
141	#11718536	C₂²	1	1	yes	characteristic, complemented
142	#11718534	C₂²	1	1	yes	characteristic, complemented
143	#11718528	C₂²	1	1	yes	characteristic, complemented
144	#11718527	C₂²	1	1	yes	characteristic, complemented
145	#11718525	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718495	C₂²	1	1	yes	characteristic, complemented
150	#11718494	C₂²	1	1	yes	characteristic, complemented
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718476	C₂²	1	1	yes	characteristic, complemented
153	#11718472	C₂²	1	1	yes	characteristic, complemented
154	#11718472	C₂²	1	1	yes	characteristic, complemented
155	#11718471	C₂²	1	1	yes	characteristic, complemented
156	#11718469	C₂²	1	1	yes	characteristic, complemented
157	#11718468	C₂²	1	1	yes	characteristic, complemented
158	#11718468	C₂²	1	1	yes	characteristic, complemented
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
161	#11718454	C₂²	1	1	yes	characteristic, complemented
162	#11718453	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718444	C₂²	1	1	yes	characteristic, complemented
165	#11718444	C₂²	1	1	yes	characteristic, complemented
166	#11718442	C₂²	1	1	yes	characteristic
167	#11718442	C₂²	1	1	yes	characteristic, complemented
168	#11718442	C₂²	1	1	yes	characteristic, complemented
169	#11718442	C₂²	1	1	yes	characteristic, complemented
170	#11718442	C₂²	1	1	yes	characteristic, complemented
171	#11718442	C₂²	1	1	yes	characteristic, complemented
172	#11718442	C₂²	1	1	yes	characteristic, complemented
173	#11718442	C₂²	1	1	yes	characteristic, complemented
174	#11718442	C₂²	1	1	yes	characteristic, complemented
175	#11718440	C₂²	1	1	yes	characteristic, complemented
176	#11718439	C₂²	1	1	yes	characteristic, complemented
177	#11718438	C₂²	1	1	yes	characteristic, complemented
178	#11718437	C₂²	1	1	yes	characteristic, complemented
179	#11718437	C₂²	1	1	yes	characteristic, complemented
180	#11718436	C₂²	1	1	yes	characteristic, complemented
181	#11718434	C₂²	1	1	yes	characteristic, complemented
182	#11718433	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
185	#11718423	C₂²	1	1	yes	characteristic, complemented
186	#11718423	C₂²	1	1	yes	characteristic, complemented
187	#11718422	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718393	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718357	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
202	#11718346	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂³×Dic₁₃	—	2	1	no	—
208	#41×D₁₃	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6129	—	2	1	no	—
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	4	2	no	—
216	C₂×#6129	—	4	2	no	—
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×#6129	C₂³	1	1	yes	characteristic
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	—	2	1	no	—
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂²×D₅₂	—	2	1	no	—
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₃	—	2	1	no	—
235	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#125	C₂³	1	1	yes	characteristic
245	C₁₃×#124	C₂³	1	1	yes	characteristic
246	C₁₃×#123	—	2	1	no	—
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#120	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	#88207	—	2	1	no	—
263	#88204	—	4	2	no	—
264	#88200	C₂³	1	1	yes	characteristic
265	#88198	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	#88194	—	2	1	no	—
270	#88194	—	2	1	no	—
271	#88194	C₂³	1	1	yes	characteristic
272	#88194	C₂³	1	1	yes	characteristic
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88192	C₂³	1	1	yes	characteristic
280	#88192	C₂³	1	1	yes	characteristic
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88189	—	2	1	no	—
287	D₄×Dic₁₃	—	2	1	no	—
288	D₄×Dic₁₃	—	2	1	no	—
289	D₄×Dic₁₃	D₄	1	1	yes	characteristic
290	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×#6105	C₂³	1	1	yes	characteristic
292	C₂×#6105	C₂³	1	1	yes	characteristic
293	C₂×#6105	C₂³	1	1	yes	characteristic
294	C₂×#6105	C₂³	1	1	yes	characteristic
295	C₂×#6104	—	4	2	no	—
296	C₂×#6104	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	C₂×#6104	C₂³	1	1	yes	characteristic
299	C₂×#6104	C₂³	1	1	yes	characteristic
300	C₂×#6104	C₂³	1	1	yes	characteristic
301	#88184	—	2	1	no	—
302	#88184	—	2	1	no	—
303	#88184	C₂³	1	1	yes	characteristic
304	#88184	C₂³	1	1	yes	characteristic
305	#88183	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	—	2	1	no	—
307	C₄×C₂²⋊D₁₃	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
311	C₂×#6103	—	2	1	no	—
312	C₂×#6103	—	2	1	no	—
313	C₂×#6103	—	2	1	no	—
314	#88178	—	2	1	no	—
315	#88178	C₂³	1	1	yes	characteristic
316	#88178	C₂³	1	1	yes	characteristic
317	C₂×#6101	—	2	1	no	—
318	C₂×C₄×Dic₁₃	—	2	1	no	—
319	C₂²×#1055	C₂³	1	1	yes	characteristic
320	C₂²×#1055	C₂³	1	1	yes	characteristic
321	SD₁₆×D₁₃	—	4	2	no	—
322	#88166	—	4	2	no	—
323	#88166	—	4	2	no	—
324	D₈×D₁₃	—	4	2	no	—
325	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
326	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
327	#88158	—	4	2	no	—
328	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
329	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
330	C₂×#6095	—	4	2	no	—
331	C₂×#6095	C₂³	1	1	yes	characteristic
332	C₂×#6095	C₂³	1	1	yes	characteristic
333	C₂×#6095	C₂³	1	1	yes	characteristic
334	C₂×#6095	C₂³	1	1	yes	characteristic
335	C₂×#6095	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
340	#88152	—	2	1	no	—
341	#88152	—	2	1	no	—
342	#88151	C₂³	1	1	yes	characteristic
343	#88151	C₂³	1	1	yes	characteristic
344	#88151	C₂³	1	1	yes	characteristic
345	#88150	—	2	1	no	—
346	#88150	—	2	1	no	—
347	#88150	—	2	1	no	—
348	#88149	—	2	1	no	—
349	#88149	—	2	1	no	—
350	#88149	—	2	1	no	—
351	#88149	C₂³	1	1	yes	characteristic
352	#88149	C₂³	1	1	yes	characteristic
353	#88149	C₂³	1	1	yes	characteristic
354	#88149	C₂³	1	1	yes	characteristic
355	#88149	C₂³	1	1	yes	characteristic
356	#88149	C₂³	1	1	yes	characteristic
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88148	—	2	1	no	—
361	#88147	—	2	1	no	—
362	#88147	—	2	1	no	—
363	#88147	—	2	1	no	—
364	#88147	D₄	1	1	yes	characteristic
365	#88147	C₂³	1	1	yes	characteristic
366	#88146	—	2	1	no	—
367	#88146	C₂³	1	1	yes	characteristic
368	#88146	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	#88143	—	2	1	no	—
372	#88142	—	2	1	no	—
373	#88142	C₂³	1	1	yes	characteristic
374	#88141	C₂³	1	1	yes	characteristic
375	#88141	C₂³	1	1	yes	characteristic
376	#88140	—	2	1	no	—
377	#88140	—	2	1	no	—
378	#88140	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88138	—	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	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88137	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	#88135	—	2	1	no	—
407	#88135	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	D₄	1	1	yes	characteristic
412	#88135	D₄	1	1	yes	characteristic
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
416	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88131	—	2	1	no	—
420	#88129	—	2	1	no	—
421	#88129	C₂³	1	1	yes	characteristic
422	#88129	C₂³	1	1	yes	characteristic
423	C₄×D₅₂	—	2	1	no	—
424	C₄×D₅₂	—	2	1	no	—
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	C₄×D₅₂	C₂³	1	1	yes	characteristic
427	#88126	—	2	1	no	—
428	C₄²×D₁₃	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×#102	C₂³	1	1	yes	characteristic
439	C₁₃×#102	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88057	C₂³	1	1	yes	characteristic
465	#88056	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	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	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61567	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	2	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	4	1	no	—
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	4	4	no	—
535	C₂×C₂²⋊D₁₃	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	—	2	1	no	—
542	C₂²×Dic₁₃	—	2	1	no	—
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	4	4	no	—
546	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
548	#6131	—	4	1	no	—
549	#6131	—	4	1	no	—
550	Q₈×D₁₃	—	2	2	no	—
551	Q₈×D₁₃	—	4	1	no	—
552	#6129	—	2	2	no	—
553	#6129	—	2	2	no	—
554	#6129	—	2	2	no	—
555	#6129	—	2	2	no	—
556	#6129	—	4	1	no	—
557	#6129	—	4	1	no	—
558	#6129	—	4	1	no	—
559	#6129	—	4	1	no	—
560	#6129	—	4	1	no	—
561	#6129	—	4	1	no	—
562	#6129	—	4	4	no	—
563	#6129	—	4	4	no	—
564	#6129	—	4	4	no	—
565	D₄×D₁₃	—	2	4	no	—
566	D₄×D₁₃	—	2	2	no	—
567	D₄×D₁₃	—	4	1	no	—
568	D₄×D₁₃	—	4	1	no	—
569	D₄×D₁₃	—	4	1	no	—
570	D₄×D₁₃	—	4	4	no	—
571	D₄×D₁₃	—	4	4	no	—
572	D₄×D₁₃	—	8	2	no	—
573	#6127	—	2	2	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	1	no	—
576	#6127	—	4	1	no	—
577	#6127	—	4	4	no	—
578	#6127	—	8	2	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	4	1	no	—
588	C₂×D₅₂	—	4	1	no	—
589	C₂×D₅₂	—	8	2	no	—
590	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
591	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
592	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	4	1	no	—
602	C₂×C₄×D₁₃	—	4	1	no	—
603	C₂×C₄×D₁₃	—	4	1	no	—
604	C₂×C₄×D₁₃	—	4	1	no	—
605	C₂×C₄×D₁₃	—	4	4	no	—
606	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₂₆	—	2	2	no	—
616	C₂×Dic₂₆	—	2	1	no	—
617	C₂×Dic₂₆	—	2	1	no	—
618	C₂×Dic₂₆	—	2	1	no	—
619	C₂×Dic₂₆	—	4	1	no	—
620	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
621	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×D₈	—	2	2	no	—
625	C₁₃×D₈	—	4	1	no	—
626	C₂×C₈×C₁₃	—	4	1	no	—
627	C₂×C₈×C₁₃	—	4	1	no	—
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	—	2	1	no	—
634	C₁₃×C₄⋊C₄	—	2	1	no	—
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₁₃	—	2	1	no	—
653	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
661	#6107	—	4	1	no	—
662	#6106	—	4	1	no	—
663	#6106	—	4	1	no	—
664	#6105	—	2	2	no	—
665	#6105	—	2	2	no	—
666	#6105	—	4	1	no	—
667	#6105	—	4	1	no	—
668	#6104	—	2	2	no	—
669	#6104	—	2	2	no	—
670	#6104	—	4	1	no	—
671	#6104	—	4	1	no	—
672	#6104	—	4	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	C₂×D₄	1	1	yes	characteristic
694	#6103	C₂×D₄	1	1	yes	characteristic
695	#6103	C₂×D₄	1	1	yes	characteristic
696	#6103	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
701	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	C₂×D₄	1	1	yes	characteristic
714	#6101	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
723	C₂×#1055	—	4	1	no	—
724	C₂×#1055	—	4	1	no	—
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	Dic₅₂	—	2	2	no	—
730	Dic₅₂	—	4	1	no	—
731	D₁₀₄	—	4	1	no	—
732	D₁₀₄	—	4	1	no	—
733	#6095	—	2	2	no	—
734	#6095	—	2	2	no	—
735	#6095	—	4	1	no	—
736	#6095	—	4	1	no	—
737	#6095	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3519	—	13	1	no	—
743	D₄×#41	—	13	1	no	—
744	#3305	—	13	1	no	—
745	#3303	—	13	1	no	—
746	#3301	—	13	1	no	—
747	#3301	—	13	1	no	—
748	#3299	—	13	1	no	—
749	#3297	—	13	1	no	—
750	#3297	D₁₃	1	1	yes	characteristic, complemented
751	#3295	—	13	1	no	—
752	#3287	—	13	1	no	—
753	#3284	—	13	1	no	—
754	#3282	—	13	1	no	—
755	#3282	—	13	1	no	—
756	D₄×SD₁₆	—	13	1	no	—
757	#3280	—	13	1	no	—
758	#3280	—	13	1	no	—
759	D₄×D₈	—	13	1	no	—
760	#3212	—	13	1	no	—
761	#3207	—	13	1	no	—
762	#3191	—	13	1	no	—
763	#3191	—	13	1	no	—
764	#3188	—	13	1	no	—
765	#3188	—	13	1	no	—
766	#3106	—	13	1	no	—
767	#3102	—	13	1	no	—
768	#3002	—	13	1	no	—
769	#3002	—	13	1	no	—
770	C₂×#449	—	13	1	no	—
771	C₂×#449	—	13	1	no	—
772	#2972	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	4	2	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	8	1	no	—
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	2	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	2	1	no	—
785	C₂²×D₁₃	—	2	1	no	—
786	C₂²×D₁₃	—	4	1	no	—
787	C₂²×D₁₃	—	4	1	no	—
788	C₂²×D₁₃	—	4	1	no	—
789	C₂²×D₁₃	—	4	1	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	4	2	no	—
793	C₂²×D₁₃	—	4	2	no	—
794	C₂²×D₁₃	—	8	1	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
802	Q₈×C₁₃	—	2	1	no	—
803	Q₈×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	2	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	4	2	no	—
811	D₄×C₁₃	—	4	2	no	—
812	D₄×C₁₃	—	4	2	no	—
813	D₄×C₁₃	—	8	1	no	—
814	D₄×C₁₃	—	8	1	no	—
815	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	4	2	no	—
826	C₂×C₄×C₁₃	—	8	1	no	—
827	C₂×C₄×C₁₃	—	8	1	no	—
828	C₂×C₄×C₁₃	—	8	1	no	—
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
834	C₂²⋊D₁₃	—	2	4	no	—
835	C₂²⋊D₁₃	—	2	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	#135	1	4	yes	complemented
853	C₂×Dic₁₃	—	2	4	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	4	1	no	—
860	C₂×Dic₁₃	—	4	1	no	—
861	C₂×Dic₁₃	—	4	2	no	—
862	C₂×Dic₁₃	—	4	2	no	—
863	C₂×Dic₁₃	—	4	2	no	—
864	C₂×Dic₁₃	—	4	2	no	—
865	C₂×Dic₁₃	—	4	2	no	—
866	C₂×Dic₁₃	—	8	1	no	—
867	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
868	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
869	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
870	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
871	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
872	D₅₂	—	2	2	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	2	1	no	—
875	D₅₂	—	2	1	no	—
876	D₅₂	—	2	1	no	—
877	D₅₂	—	2	1	no	—
878	D₅₂	—	2	1	no	—
879	D₅₂	—	4	2	no	—
880	D₅₂	—	4	2	no	—
881	D₅₂	—	4	2	no	—
882	D₅₂	—	4	2	no	—
883	D₅₂	—	8	1	no	—
884	D₅₂	—	8	1	no	—
885	D₅₂	—	8	1	no	—
886	D₅₂	—	8	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	2	1	no	—
891	C₄×D₁₃	—	2	1	no	—
892	C₄×D₁₃	—	2	1	no	—
893	C₄×D₁₃	—	2	2	no	—
894	C₄×D₁₃	—	4	1	no	—
895	C₄×D₁₃	—	4	1	no	—
896	C₄×D₁₃	—	4	1	no	—
897	C₄×D₁₃	—	4	1	no	—
898	C₄×D₁₃	—	4	1	no	—
899	C₄×D₁₃	—	4	2	no	—
900	C₄×D₁₃	—	4	2	no	—
901	C₄×D₁₃	—	4	2	no	—
902	C₄×D₁₃	—	4	2	no	—
903	C₄×D₁₃	—	8	1	no	—
904	C₄×D₁₃	—	8	1	no	—
905	C₄×D₁₃	—	8	1	no	—
906	Dic₂₆	—	2	1	no	—
907	Dic₂₆	—	2	1	no	—
908	Dic₂₆	—	2	1	no	—
909	Dic₂₆	—	2	1	no	—
910	Dic₂₆	—	2	1	no	—
911	Dic₂₆	—	4	2	no	—
912	Dic₂₆	—	4	2	no	—
913	Dic₂₆	—	8	1	no	—
914	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
915	C₈×C₁₃	—	2	1	no	—
916	C₈×C₁₃	—	2	1	no	—
917	C₈×C₁₃	—	2	1	no	—
918	C₈×C₁₃	—	2	1	no	—
919	#1055	—	2	1	no	—
920	#1055	—	2	1	no	—
921	#1055	—	2	1	no	—
922	#1055	—	2	1	no	—
923	C₂²×#41	—	13	1	no	—
924	C₂²×#41	—	13	1	no	—
925	C₂×#135	—	13	1	no	—
926	C₂×#135	—	13	1	no	—
927	C₂×#135	—	13	1	no	—
928	C₂×#135	—	13	1	no	—
929	C₂²×SD₁₆	—	13	1	no	—
930	C₂²×SD₁₆	—	13	1	no	—
931	C₂²×D₈	—	13	1	no	—
932	C₂²×D₈	—	13	1	no	—
933	#555	—	13	1	no	—
934	#554	—	13	1	no	—
935	#553	—	13	1	no	—
936	#553	—	26	1	no	—
937	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#550	—	13	1	no	—
939	#550	—	13	1	no	—
940	D₄×Q₈	—	13	1	no	—
941	#548	—	13	1	no	—
942	#548	—	13	1	no	—
943	#547	—	13	1	no	—
944	#547	—	26	1	no	—
945	#546	—	13	1	no	—
946	#546	—	13	1	no	—
947	#546	—	13	1	no	—
948	#546	—	26	1	no	—
949	#546	—	26	1	no	—
950	#546	—	26	1	no	—
951	#546	—	26	1	no	—
952	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
953	D₄²	—	13	1	no	—
954	D₄²	—	13	1	no	—
955	D₄²	—	26	1	no	—
956	D₄²	—	26	1	no	—
957	#540	—	26	1	no	—
958	#538	—	26	1	no	—
959	#538	—	26	1	no	—
960	#532	—	13	1	no	—
961	#532	—	13	1	no	—
962	#532	—	26	1	no	—
963	#529	—	13	1	no	—
964	#525	—	13	1	no	—
965	#525	—	13	1	no	—
966	#525	—	13	1	no	—
967	#525	—	13	1	no	—
968	#525	—	26	1	no	—
969	#525	—	26	1	no	—
970	C₂×#121	—	13	1	no	—
971	C₂×#121	—	13	1	no	—
972	#518	—	26	1	no	—
973	C₄×#41	—	13	1	no	—
974	C₂×C₄×D₄	—	13	1	no	—
975	C₂×C₄×D₄	—	26	1	no	—
976	#495	—	13	1	no	—
977	#495	—	13	1	no	—
978	#493	—	13	1	no	—
979	#492	—	13	1	no	—
980	#488	—	13	1	no	—
981	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#487	—	13	1	no	—
983	#486	—	13	1	no	—
984	#485	—	13	1	no	—
985	#485	—	13	1	no	—
986	#485	—	13	1	no	—
987	#484	—	13	1	no	—
988	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#482	—	13	1	no	—
990	#482	—	13	1	no	—
991	#482	—	13	1	no	—
992	#482	—	13	1	no	—
993	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
994	#481	—	13	1	no	—
995	#481	—	13	1	no	—
996	#479	—	13	1	no	—
997	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#477	—	13	1	no	—
999	#476	—	13	1	no	—
1000	#467	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#466	—	13	1	no	—
1006	#466	—	13	1	no	—
1007	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#465	—	13	1	no	—
1009	#465	—	13	1	no	—
1010	#465	—	13	1	no	—
1011	#465	—	13	1	no	—
1012	#465	—	13	1	no	—
1013	#465	—	13	1	no	—
1014	#465	—	13	1	no	—
1015	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	#464	—	13	1	no	—
1017	#463	—	13	1	no	—
1018	#463	—	13	1	no	—
1019	#463	—	13	1	no	—
1020	#463	—	13	1	no	—
1021	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#462	—	13	1	no	—
1023	#461	—	13	1	no	—
1024	#460	—	13	1	no	—
1025	#460	—	13	1	no	—
1026	#459	—	13	1	no	—
1027	#459	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#452	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#451	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#450	—	13	1	no	—
1037	#450	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#449	—	13	1	no	—
1050	#449	—	13	1	no	—
1051	#449	—	13	1	no	—
1052	#449	—	13	1	no	—
1053	#449	—	13	1	no	—
1054	#449	—	13	1	no	—
1055	#449	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1058	#448	—	13	1	no	—
1059	#448	—	13	1	no	—
1060	#447	—	13	1	no	—
1061	#447	—	13	1	no	—
1062	#447	—	13	1	no	—
1063	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	C₄×Q₁₆	—	13	1	no	—
1065	C₄×SD₁₆	—	13	1	no	—
1066	C₄×SD₁₆	—	13	1	no	—
1067	C₄×SD₁₆	—	13	1	no	—
1068	C₄×SD₁₆	—	13	1	no	—
1069	C₄×D₈	—	13	1	no	—
1070	C₄×D₈	—	13	1	no	—
1071	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1072	C₈×D₄	—	13	1	no	—
1073	C₈×D₄	—	13	1	no	—
1074	C₈×D₄	—	13	1	no	—
1075	C₈×D₄	—	13	1	no	—
1076	C₈×D₄	—	13	1	no	—
1077	C₈×D₄	—	13	1	no	—
1078	C₈×D₄	—	13	1	no	—
1079	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	#431	—	13	1	no	—
1081	#431	—	13	1	no	—
1082	#416	—	13	1	no	—
1083	#416	—	13	1	no	—
1084	#416	—	13	1	no	—
1085	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1086	C₂×#103	—	13	1	no	—
1087	C₂×#103	—	13	1	no	—
1088	C₂×#102	—	13	1	no	—
1089	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1090	C₂×C₂²⋊C₈	—	13	1	no	—
1091	C₂×C₂²⋊C₈	—	13	1	no	—
1092	C₂×C₂²⋊C₈	—	13	1	no	—
1093	C₂×C₂²⋊C₈	—	13	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	2	2	no	—
1098	C₂²×C₁₃	—	2	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	8	4	no	—
1109	C₂²×C₁₃	C₂×#135	1	2	yes	—
1110	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	1	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	1	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	2	1	no	—
1118	C₂×D₁₃	—	2	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	4	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	4	1	no	—
1126	C₂×D₁₃	—	4	1	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	8	2	no	—
1129	C₂×D₁₃	—	8	4	no	—
1130	C₂×D₁₃	—	8	2	no	—
1131	C₂×D₁₃	—	16	2	no	—
1132	C₂×D₁₃	—	16	2	no	—
1133	C₂×D₁₃	C₂×#135	1	2	yes	—
1134	C₄×C₁₃	—	2	1	no	—
1135	C₄×C₁₃	—	2	1	no	—
1136	C₄×C₁₃	—	2	1	no	—
1137	C₄×C₁₃	—	2	1	no	—
1138	C₄×C₁₃	—	4	1	no	—
1139	C₄×C₁₃	—	4	1	no	—
1140	C₄×C₁₃	—	4	1	no	—
1141	C₄×C₁₃	—	4	1	no	—
1142	C₄×C₁₃	—	4	1	no	—
1143	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1144	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1145	Dic₁₃	—	2	1	no	—
1146	Dic₁₃	—	2	2	no	—
1147	Dic₁₃	—	2	1	no	—
1148	Dic₁₃	—	2	1	no	—
1149	Dic₁₃	—	2	1	no	—
1150	Dic₁₃	—	4	1	no	—
1151	Dic₁₃	—	4	1	no	—
1152	Dic₁₃	—	4	1	no	—
1153	Dic₁₃	—	4	1	no	—
1154	Dic₁₃	C₂×#135	1	2	yes	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	13	1	no	—
1159	C₂×#41	—	13	1	no	—
1160	C₂×#41	—	13	1	no	—
1161	C₂×#41	—	13	1	no	—
1162	C₂×#41	—	13	1	no	—
1163	C₂×#41	—	26	1	no	—
1164	C₂×#41	—	26	1	no	—
1165	C₂×#41	—	26	1	no	—
1166	C₂×#41	—	26	1	no	—
1167	C₂×#41	—	26	1	no	—
1168	C₂×#41	—	52	2	no	—
1169	C₂×#41	—	52	2	no	—
1170	C₂×#41	—	52	2	no	—
1171	C₂×#41	—	52	2	no	—
1172	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂²×Q₈	—	13	1	no	—
1174	C₂²×Q₈	—	13	1	no	—
1175	C₂²×D₄	—	13	1	no	—
1176	C₂²×D₄	—	13	1	no	—
1177	C₂²×D₄	—	13	1	no	—
1178	C₂²×D₄	—	13	1	no	—
1179	C₂²×D₄	—	26	1	no	—
1180	C₂²×D₄	—	26	1	no	—
1181	C₂²×D₄	—	26	1	no	—
1182	C₂²×D₄	—	26	1	no	—
1183	C₂²×D₄	—	26	1	no	—
1184	C₂²×D₄	—	26	1	no	—
1185	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1186	C₂³×C₄	—	13	1	no	—
1187	C₂³×C₄	—	13	1	no	—
1188	C₂³×C₄	—	26	1	no	—
1189	C₂³×C₄	—	26	1	no	—
1190	#135	—	52	2	no	—
1191	#135	—	52	2	no	—
1192	#135	—	52	2	no	—
1193	#135	—	52	2	no	—
1194	C₂×Q₁₆	—	13	1	no	—
1195	C₂×Q₁₆	—	13	1	no	—
1196	C₂×Q₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	13	1	no	—
1203	C₂×SD₁₆	—	13	1	no	—
1204	C₂×SD₁₆	—	13	1	no	—
1205	C₂×SD₁₆	—	13	1	no	—
1206	C₂×SD₁₆	—	13	1	no	—
1207	C₂×SD₁₆	—	13	1	no	—
1208	C₂×SD₁₆	—	52	2	no	—
1209	C₂×SD₁₆	—	52	2	no	—
1210	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×D₈	—	13	1	no	—
1212	C₂×D₈	—	13	1	no	—
1213	C₂×D₈	—	13	1	no	—
1214	C₂×D₈	—	13	1	no	—
1215	C₂×D₈	—	13	1	no	—
1216	C₂×D₈	—	13	1	no	—
1217	C₂×D₈	—	13	1	no	—
1218	C₂×D₈	—	52	2	no	—
1219	C₂×D₈	—	52	2	no	—
1220	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1222	C₂²×C₈	—	13	1	no	—
1223	C₂²×C₈	—	13	1	no	—
1224	C₂²×C₈	—	13	1	no	—
1225	C₂²×C₈	—	13	1	no	—
1226	C₂²×C₈	—	13	1	no	—
1227	C₂²×C₈	—	13	1	no	—
1228	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₄⋊Q₈	—	13	1	no	—
1231	C₄⋊Q₈	—	13	1	no	—
1232	C₄⋊Q₈	—	26	1	no	—
1233	#127	—	13	1	no	—
1234	#127	—	13	1	no	—
1235	#127	—	26	1	no	—
1236	#127	—	26	1	no	—
1237	#126	—	2	1	no	—
1238	#126	—	26	1	no	—
1239	#126	—	26	1	no	—
1240	#125	—	26	1	no	—
1241	#125	C₂²×D₁₃	1	1	yes	characteristic
1242	#124	—	13	1	no	—
1243	#124	—	13	1	no	—
1244	#124	—	26	1	no	—
1245	#124	—	26	1	no	—
1246	#124	—	26	1	no	—
1247	#124	—	26	1	no	—
1248	#124	—	26	1	no	—
1249	#124	C₂²×D₁₃	1	1	yes	characteristic
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	C₂²⋊Q₈	—	13	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	C₂²×D₁₃	1	1	yes	characteristic
1310	#121	C₂²×D₁₃	1	1	yes	characteristic
1311	#121	C₂²×D₁₃	1	1	yes	characteristic
1312	#120	—	2	1	no	—
1313	#120	—	26	1	no	—
1314	#120	—	26	1	no	—
1315	#120	—	26	1	no	—
1316	#120	—	26	1	no	—
1317	#120	—	26	1	no	—
1318	#120	—	26	1	no	—
1319	#120	—	26	1	no	—
1320	#120	—	26	1	no	—
1321	#120	—	26	1	no	—
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	C₄×Q₈	—	13	1	no	—
1325	C₄×Q₈	—	13	1	no	—
1326	C₄×Q₈	—	13	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	13	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	13	1	no	—
1331	C₄×D₄	—	13	1	no	—
1332	C₄×D₄	—	13	1	no	—
1333	C₄×D₄	—	13	1	no	—
1334	C₄×D₄	—	13	1	no	—
1335	C₄×D₄	—	13	1	no	—
1336	C₄×D₄	—	13	1	no	—
1337	C₄×D₄	—	13	1	no	—
1338	C₄×D₄	—	26	1	no	—
1339	C₄×D₄	—	26	1	no	—
1340	C₄×D₄	—	26	1	no	—
1341	C₄×D₄	—	26	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	—	26	1	no	—
1359	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1360	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1361	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1362	#117	—	13	1	no	—
1363	#117	—	13	1	no	—
1364	#117	—	26	1	no	—
1365	#117	—	26	1	no	—
1366	#117	—	26	1	no	—
1367	#117	C₂²×D₁₃	1	1	yes	characteristic
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	13	1	no	—
1370	C₂×C₄⋊C₄	—	26	1	no	—
1371	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂×C₂²⋊C₄	—	2	1	no	—
1373	C₂×C₂²⋊C₄	—	13	1	no	—
1374	C₂×C₂²⋊C₄	—	13	1	no	—
1375	C₂×C₂²⋊C₄	—	26	1	no	—
1376	C₂×C₂²⋊C₄	—	26	1	no	—
1377	C₂×C₂²⋊C₄	—	26	1	no	—
1378	C₂×C₂²⋊C₄	—	26	1	no	—
1379	C₂×C₂²⋊C₄	—	26	1	no	—
1380	C₂×C₄²	—	13	1	no	—
1381	C₂×C₄²	—	26	1	no	—
1382	#107	—	13	1	no	—
1383	#107	—	13	1	no	—
1384	#107	C₂²×D₁₃	1	1	yes	characteristic
1385	#107	C₂²×D₁₃	1	1	yes	characteristic
1386	#106	—	13	1	no	—
1387	#106	—	13	1	no	—
1388	#106	—	13	1	no	—
1389	#106	C₂²×D₁₃	1	1	yes	characteristic
1390	C₄⋊C₈	—	13	1	no	—
1391	C₄⋊C₈	—	13	1	no	—
1392	C₄⋊C₈	—	13	1	no	—
1393	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	13	1	no	—
1401	#103	—	13	1	no	—
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	—	13	1	no	—
1405	#103	C₂²×D₁₃	1	1	yes	characteristic
1406	#103	C₂²×D₁₃	1	1	yes	characteristic
1407	#103	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	C₂²×D₁₃	1	1	yes	characteristic
1420	#102	C₂²×D₁₃	1	1	yes	characteristic
1421	#102	C₂²×D₁₃	1	1	yes	characteristic
1422	#102	C₂²×D₁₃	1	1	yes	characteristic
1423	#102	C₂²×D₁₃	1	1	yes	characteristic
1424	#102	C₂²×D₁₃	1	1	yes	characteristic
1425	#102	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	—	13	1	no	—
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	—	13	1	no	—
1431	C₂²⋊C₈	—	13	1	no	—
1432	C₂²⋊C₈	—	13	1	no	—
1433	C₂²⋊C₈	—	13	1	no	—
1434	C₂²⋊C₈	—	13	1	no	—
1435	C₂²⋊C₈	—	13	1	no	—
1436	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1437	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1438	C₄×C₈	—	13	1	no	—
1439	C₄×C₈	—	13	1	no	—
1440	C₄×C₈	—	13	1	no	—
1441	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1442	C₂×C₁₃	—	2	2	no	—
1443	C₂×C₁₃	—	4	1	no	—
1444	C₂×C₁₃	—	4	2	no	—
1445	C₂×C₁₃	—	8	1	no	—
1446	C₂×C₁₃	—	8	1	no	—
1447	C₂×C₁₃	#3484	1	1	yes	characteristic
1448	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1449	C₂×C₁₃	#3585	1	1	yes	characteristic
1450	D₁₃	—	2	2	no	—
1451	D₁₃	—	4	1	no	—
1452	D₁₃	—	4	1	no	—
1453	D₁₃	—	8	1	no	—
1454	D₁₃	—	8	1	no	—
1455	D₁₃	—	8	1	no	—
1456	C₂⁴	—	2	1	no	—
1457	C₂⁴	—	13	1	no	—
1458	C₂⁴	—	13	1	no	—
1459	C₂⁴	—	26	1	no	—
1460	C₂⁴	—	26	1	no	—
1461	C₂⁴	—	26	1	no	—
1462	#41	—	2	2	no	—
1463	#41	—	4	1	no	—
1464	#41	—	26	2	no	—
1465	#41	—	26	2	no	—
1466	#41	—	26	2	no	—
1467	#41	—	26	2	no	—
1468	#41	—	26	2	no	—
1469	#41	—	52	1	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	4	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	1	no	—
1477	#41	—	52	4	no	—
1478	#41	—	52	4	no	—
1479	#41	—	52	1	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	1	no	—
1483	#41	—	52	4	no	—
1484	#41	—	104	2	no	—
1485	C₂×Q₈	—	13	1	no	—
1486	C₂×Q₈	—	13	1	no	—
1487	C₂×Q₈	—	13	1	no	—
1488	C₂×Q₈	—	26	1	no	—
1489	C₂×Q₈	—	26	1	no	—
1490	C₂×Q₈	—	26	2	no	—
1491	C₂×Q₈	—	26	1	no	—
1492	C₂×Q₈	—	26	2	no	—
1493	C₂×Q₈	—	52	1	no	—
1494	C₂×Q₈	—	52	1	no	—
1495	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×D₄	—	2	2	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	4	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	4	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	2	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	52	1	no	—
1537	C₂×D₄	—	52	1	no	—
1538	C₂×D₄	—	52	1	no	—
1539	C₂×D₄	—	52	1	no	—
1540	C₂×D₄	—	52	1	no	—
1541	C₂×D₄	—	52	4	no	—
1542	C₂×D₄	—	52	4	no	—
1543	C₂×D₄	—	52	4	no	—
1544	C₂×D₄	—	52	4	no	—
1545	C₂×D₄	—	104	2	no	—
1546	C₂×D₄	—	104	2	no	—
1547	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	13	1	no	—
1558	C₂²×C₄	—	13	1	no	—
1559	C₂²×C₄	—	13	1	no	—
1560	C₂²×C₄	—	13	1	no	—
1561	C₂²×C₄	—	13	1	no	—
1562	C₂²×C₄	—	13	1	no	—
1563	C₂²×C₄	—	13	1	no	—
1564	C₂²×C₄	—	13	1	no	—
1565	C₂²×C₄	—	13	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	26	1	no	—
1571	C₂²×C₄	—	26	1	no	—
1572	C₂²×C₄	—	26	1	no	—
1573	C₂²×C₄	—	26	1	no	—
1574	C₂²×C₄	—	26	1	no	—
1575	C₂²×C₄	—	26	1	no	—
1576	C₂²×C₄	—	26	1	no	—
1577	C₂²×C₄	—	26	1	no	—
1578	C₂²×C₄	—	26	1	no	—
1579	C₂²×C₄	—	26	1	no	—
1580	C₂²×C₄	—	52	1	no	—
1581	C₂²×C₄	—	52	1	no	—
1582	C₂²×C₄	—	52	1	no	—
1583	C₂²×C₄	—	52	1	no	—
1584	C₂²×C₄	—	52	4	no	—
1585	C₂²×C₄	—	52	4	no	—
1586	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	Q₁₆	—	26	2	no	—
1589	Q₁₆	—	52	1	no	—
1590	Q₁₆	—	52	1	no	—
1591	SD₁₆	—	4	1	no	—
1592	SD₁₆	—	26	2	no	—
1593	SD₁₆	—	26	2	no	—
1594	SD₁₆	—	26	2	no	—
1595	SD₁₆	—	26	2	no	—
1596	SD₁₆	—	52	1	no	—
1597	SD₁₆	—	52	1	no	—
1598	SD₁₆	—	52	1	no	—
1599	SD₁₆	—	52	1	no	—
1600	SD₁₆	—	52	1	no	—
1601	SD₁₆	—	52	1	no	—
1602	SD₁₆	—	52	1	no	—
1603	D₈	—	2	2	no	—
1604	D₈	—	4	1	no	—
1605	D₈	—	26	2	no	—
1606	D₈	—	26	2	no	—
1607	D₈	—	52	1	no	—
1608	D₈	—	52	1	no	—
1609	D₈	—	52	1	no	—
1610	D₈	—	52	1	no	—
1611	D₈	—	52	1	no	—
1612	C₂×C₈	—	4	1	no	—
1613	C₂×C₈	—	4	1	no	—
1614	C₂×C₈	—	13	1	no	—
1615	C₂×C₈	—	13	1	no	—
1616	C₂×C₈	—	13	1	no	—
1617	C₂×C₈	—	13	1	no	—
1618	C₂×C₈	—	52	1	no	—
1619	C₂×C₈	—	52	1	no	—
1620	C₂×C₈	—	52	1	no	—
1621	C₂×C₈	—	52	1	no	—
1622	C₂×C₈	—	52	1	no	—
1623	C₂×C₈	—	52	1	no	—
1624	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1625	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1626	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1627	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1628	C₄⋊C₄	—	2	1	no	—
1629	C₄⋊C₄	—	2	1	no	—
1630	C₄⋊C₄	—	2	1	no	—
1631	C₄⋊C₄	—	2	1	no	—
1632	C₄⋊C₄	—	13	1	no	—
1633	C₄⋊C₄	—	13	1	no	—
1634	C₄⋊C₄	—	13	1	no	—
1635	C₄⋊C₄	—	13	1	no	—
1636	C₄⋊C₄	—	13	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	—	26	1	no	—
1646	C₄⋊C₄	—	26	1	no	—
1647	C₄⋊C₄	—	26	1	no	—
1648	C₄⋊C₄	—	26	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1651	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1652	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1653	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1654	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	13	1	no	—
1665	C₂²⋊C₄	—	13	1	no	—
1666	C₂²⋊C₄	—	13	1	no	—
1667	C₂²⋊C₄	—	13	1	no	—
1668	C₂²⋊C₄	—	13	1	no	—
1669	C₂²⋊C₄	—	13	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1696	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1697	C₄²	—	2	1	no	—
1698	C₄²	—	13	1	no	—
1699	C₄²	—	13	1	no	—
1700	C₄²	—	13	1	no	—
1701	C₄²	—	26	1	no	—
1702	C₄²	—	26	1	no	—
1703	C₄²	—	26	1	no	—
1704	C₄²	—	26	1	no	—
1705	C₄²	—	26	1	no	—
1706	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1707	C₁₃	#61567	1	1	yes	characteristic, complemented, Sylow
1708	C₂³	—	2	1	no	—
1709	C₂³	—	2	1	no	—
1710	C₂³	—	2	1	no	—
1711	C₂³	—	4	2	no	—
1712	C₂³	—	4	2	no	—
1713	C₂³	—	8	1	no	—
1714	C₂³	—	13	1	no	—
1715	C₂³	—	13	1	no	—
1716	C₂³	—	13	1	no	—
1717	C₂³	—	26	2	no	—
1718	C₂³	—	26	2	no	—
1719	C₂³	—	26	1	no	—
1720	C₂³	—	26	1	no	—
1721	C₂³	—	26	1	no	—
1722	C₂³	—	52	1	no	—
1723	C₂³	—	52	1	no	—
1724	C₂³	—	52	1	no	—
1725	C₂³	—	52	1	no	—
1726	C₂³	—	52	2	no	—
1727	C₂³	—	52	2	no	—
1728	C₂³	—	52	2	no	—
1729	C₂³	—	52	2	no	—
1730	C₂³	—	104	1	no	—
1731	C₂³	—	104	1	no	—
1732	C₂³	—	104	1	no	—
1733	C₂³	—	104	1	no	—
1734	C₂³	—	104	1	no	—
1735	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1736	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	13	2	no	—
1740	Q₈	—	26	1	no	—
1741	Q₈	—	26	1	no	—
1742	Q₈	—	26	1	no	—
1743	Q₈	—	26	1	no	—
1744	Q₈	—	26	1	no	—
1745	Q₈	—	52	2	no	—
1746	Q₈	—	52	2	no	—
1747	Q₈	—	104	1	no	—
1748	D₄	—	2	2	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	8	1	no	—
1758	D₄	—	8	1	no	—
1759	D₄	—	13	4	no	—
1760	D₄	—	26	2	no	—
1761	D₄	—	26	2	no	—
1762	D₄	—	26	4	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	26	1	no	—
1766	D₄	—	26	1	no	—
1767	D₄	—	26	1	no	—
1768	D₄	—	26	1	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	52	2	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	52	2	no	—
1775	D₄	—	52	2	no	—
1776	D₄	—	52	2	no	—
1777	D₄	—	52	2	no	—
1778	D₄	—	52	2	no	—
1779	D₄	—	52	2	no	—
1780	D₄	—	52	2	no	—
1781	D₄	—	52	2	no	—
1782	D₄	—	52	2	no	—
1783	D₄	—	104	1	no	—
1784	D₄	—	104	1	no	—
1785	D₄	—	104	1	no	—
1786	D₄	—	104	1	no	—
1787	D₄	—	104	1	no	—
1788	D₄	—	104	1	no	—
1789	D₄	—	104	1	no	—
1790	D₄	—	104	1	no	—
1791	D₄	—	104	1	no	—
1792	D₄	—	104	1	no	—
1793	D₄	#88256	1	2	yes	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	4	2	no	—
1804	C₂×C₄	—	8	1	no	—
1805	C₂×C₄	—	8	1	no	—
1806	C₂×C₄	—	8	1	no	—
1807	C₂×C₄	—	13	1	no	—
1808	C₂×C₄	—	13	1	no	—
1809	C₂×C₄	—	13	1	no	—
1810	C₂×C₄	—	13	1	no	—
1811	C₂×C₄	—	13	1	no	—
1812	C₂×C₄	—	26	2	no	—
1813	C₂×C₄	—	26	4	no	—
1814	C₂×C₄	—	26	1	no	—
1815	C₂×C₄	—	26	1	no	—
1816	C₂×C₄	—	26	1	no	—
1817	C₂×C₄	—	26	1	no	—
1818	C₂×C₄	—	26	1	no	—
1819	C₂×C₄	—	26	1	no	—
1820	C₂×C₄	—	26	1	no	—
1821	C₂×C₄	—	26	1	no	—
1822	C₂×C₄	—	26	1	no	—
1823	C₂×C₄	—	26	1	no	—
1824	C₂×C₄	—	26	1	no	—
1825	C₂×C₄	—	52	1	no	—
1826	C₂×C₄	—	52	1	no	—
1827	C₂×C₄	—	52	1	no	—
1828	C₂×C₄	—	52	1	no	—
1829	C₂×C₄	—	52	1	no	—
1830	C₂×C₄	—	52	2	no	—
1831	C₂×C₄	—	52	2	no	—
1832	C₂×C₄	—	52	2	no	—
1833	C₂×C₄	—	52	2	no	—
1834	C₂×C₄	—	52	2	no	—
1835	C₂×C₄	—	52	1	no	—
1836	C₂×C₄	—	52	1	no	—
1837	C₂×C₄	—	52	2	no	—
1838	C₂×C₄	—	52	2	no	—
1839	C₂×C₄	—	52	2	no	—
1840	C₂×C₄	—	52	2	no	—
1841	C₂×C₄	—	104	1	no	—
1842	C₂×C₄	—	104	1	no	—
1843	C₂×C₄	—	104	1	no	—
1844	C₂×C₄	—	104	1	no	—
1845	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1846	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1847	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1848	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1849	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	26	1	no	—
1855	C₈	—	26	1	no	—
1856	C₈	—	26	1	no	—
1857	C₈	—	26	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	2	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	4	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	8	4	no	—
1873	C₂²	—	13	2	no	—
1874	C₂²	—	26	1	no	—
1875	C₂²	—	26	1	no	—
1876	C₂²	—	26	1	no	—
1877	C₂²	—	26	1	no	—
1878	C₂²	—	26	1	no	—
1879	C₂²	—	26	1	no	—
1880	C₂²	—	26	1	no	—
1881	C₂²	—	26	1	no	—
1882	C₂²	—	52	1	no	—
1883	C₂²	—	52	1	no	—
1884	C₂²	—	52	1	no	—
1885	C₂²	—	52	1	no	—
1886	C₂²	—	52	1	no	—
1887	C₂²	—	52	1	no	—
1888	C₂²	—	52	1	no	—
1889	C₂²	—	52	1	no	—
1890	C₂²	—	52	1	no	—
1891	C₂²	—	104	2	no	—
1892	C₂²	—	104	2	no	—
1893	C₂²	—	104	4	no	—
1894	C₂²	—	208	2	no	—
1895	C₂²	—	208	2	no	—
1896	C₂²	D₁₃×#135	1	2	yes	—
1897	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	4	1	no	—
1903	C₄	—	4	1	no	—
1904	C₄	—	4	1	no	—
1905	C₄	—	4	1	no	—
1906	C₄	—	4	1	no	—
1907	C₄	—	13	2	no	—
1908	C₄	—	26	1	no	—
1909	C₄	—	26	1	no	—
1910	C₄	—	26	1	no	—
1911	C₄	—	26	2	no	—
1912	C₄	—	26	1	no	—
1913	C₄	—	52	1	no	—
1914	C₄	—	52	1	no	—
1915	C₄	—	52	1	no	—
1916	C₄	—	52	1	no	—
1917	C₄	C₂×#88256	1	1	yes	characteristic
1918	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	4	2	no	—
1922	C₂	—	8	1	no	—
1923	C₂	—	8	1	no	—
1924	C₂	—	26	2	no	—
1925	C₂	—	52	1	no	—
1926	C₂	—	52	1	no	—
1927	C₂	—	104	1	no	—
1928	C₂	—	104	1	no	—
1929	C₂	—	104	1	no	—
1930	C₂	#13128466	1	1	yes	characteristic
1931	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1932	C₂	#13129611	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×#3297	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3297	D₁₃
hypocenter	C₁₃	#61567
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3297

Complements

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

N	H ≅ G/N	type
1. #13128861	C₂	semidirect
2. #13128320	C₂	semidirect
3. #13126784	C₂	semidirect
4. #13126760	C₂	semidirect
5. #13126737	C₂	semidirect
6. #13126732	C₂	semidirect
7. #13126710	C₂	semidirect
8. #13126683	C₂	semidirect
9. #13126656	C₂	semidirect
10. #13126593	C₂	semidirect
11. #13126564	C₂	semidirect
12. #13126549	C₂	semidirect
13. #13126548	C₂	semidirect
14. #13126529	C₂	semidirect
15. #13126522	C₂	semidirect
16. #13126517	C₂	semidirect
17. #13126506	C₂	semidirect
18. #13125813	C₂	semidirect
19. #13125768	C₂	semidirect
20. #13125627	C₂	semidirect
21. #13125625	C₂	semidirect
22. #13125606	C₂	semidirect
23. #13125596	C₂	semidirect
24. #13124892	C₂	semidirect
25. #13124859	C₂	semidirect
26. #13124056	C₂	semidirect
27. #13124049	C₂	semidirect
28. C₂×#11718442	C₂	semidirect
29. D₁₃×#449	C₂	semidirect
30. #13123857	C₂	semidirect
31. C₁₃×#3297	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
33. C₂²×#6129	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
36. #11719529	C₂²	semidirect
37. C₂×#88204	C₂²	semidirect
39. C₂²×#6104	C₂²	semidirect
40. C₂×SD₁₆×D₁₃	C₂²	semidirect
41. C₂×#88166	C₂²	semidirect
42. C₂×#88166	C₂²	semidirect
43. C₂×D₈×D₁₃	C₂²	semidirect
44. C₂×#88158	C₂²	semidirect
45. C₂²×#6095	C₂²	semidirect
48. #11719400	C₂²	semidirect
49. #11719396	C₂²	semidirect
50. #11719382	C₂²	semidirect
51. #11719373	C₂²	semidirect
57. #11719332	C₂²	semidirect
62. #11719311	C₂²	semidirect
63. #11719311	C₂²	semidirect
64. D₁₃×#121	C₂²	semidirect
65. #11719304	C₂²	semidirect
66. #11719304	C₂²	semidirect
70. #11719259	C₂²	semidirect
71. #11719259	C₂²	semidirect
72. #11719257	C₂²	semidirect
74. #11719255	C₂²	semidirect
75. #11719253	C₂²	semidirect
78. C₄×#6129	C₂²	semidirect
79. #11719237	C₂²	semidirect
80. #11719229	C₂²	semidirect
82. C₂×#88149	C₂²	semidirect
85. C₁₃×#488	C₂²	semidirect
86. C₁₃×#484	C₂²	semidirect
87. C₁₃×#482	C₂²	semidirect
88. C₁₃×#478	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#447	C₂²	semidirect
94. C₄×C₁₃×D₈	C₂²	semidirect
95. C₈×D₄×C₁₃	C₂²	semidirect
96. C₁₃×#416	C₂²	semidirect
97. C₂×C₁₃×#102	C₂²	semidirect
98. #11718899	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718836	C₂²	semidirect
101. #11718834	C₂²	semidirect
102. #11718833	C₂²	semidirect
103. #11718819	C₂²	semidirect
104. #11718819	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718812	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718775	C₂²	semidirect
109. #11718775	C₂²	semidirect
111. C₈×C₂²⋊D₁₃	C₂²	semidirect
112. C₂×#88060	C₂²	semidirect
113. C₂×#88060	C₂²	semidirect
114. #11718729	C₂²	semidirect
115. #11718724	C₂²	semidirect
116. #11718720	C₂²	semidirect
117. #11718718	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718707	C₂²	semidirect
120. #11718702	C₂²	semidirect
121. #11718701	C₂²	semidirect
122. #11718699	C₂²	semidirect
123. #11718699	C₂²	semidirect
124. #11718698	C₂²	semidirect
125. #11718698	C₂²	semidirect
126. C₄×#6105	C₂²	semidirect
127. #11718677	C₂²	semidirect
128. #11718677	C₂²	semidirect
129. C₄×#6104	C₂²	semidirect
130. D₄×#1055	C₂²	semidirect
131. #11718663	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. C₂×#88050	C₂²	semidirect
134. #11718629	C₂²	semidirect
135. #11718548	C₂²	semidirect
136. #11718546	C₂²	semidirect
137. #11718546	C₂²	semidirect
138. #11718545	C₂²	semidirect
139. #11718544	C₂²	semidirect
140. #11718544	C₂²	semidirect
141. #11718536	C₂²	semidirect
142. #11718534	C₂²	semidirect
143. #11718528	C₂²	semidirect
144. #11718527	C₂²	semidirect
145. #11718525	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718495	C₂²	semidirect
150. #11718494	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718476	C₂²	semidirect
153. #11718472	C₂²	semidirect
154. #11718472	C₂²	semidirect
155. #11718471	C₂²	semidirect
156. #11718469	C₂²	semidirect
157. #11718468	C₂²	semidirect
158. #11718468	C₂²	semidirect
159. #11718467	C₂²	semidirect
160. D₁₃×#103	C₂²	semidirect
161. #11718454	C₂²	semidirect
162. #11718453	C₂²	semidirect
163. #11718447	C₂²	semidirect
164. #11718444	C₂²	semidirect
165. #11718444	C₂²	semidirect
167. #11718442	C₂²	semidirect
168. #11718442	C₂²	semidirect
169. #11718442	C₂²	semidirect
170. #11718442	C₂²	semidirect
171. #11718442	C₂²	semidirect
172. #11718442	C₂²	semidirect
173. #11718442	C₂²	semidirect
174. #11718442	C₂²	semidirect
175. #11718440	C₂²	semidirect
176. #11718439	C₂²	semidirect
177. #11718438	C₂²	semidirect
178. #11718437	C₂²	semidirect
179. #11718437	C₂²	semidirect
180. #11718436	C₂²	semidirect
181. #11718434	C₂²	semidirect
182. #11718433	C₂²	semidirect
183. #11718433	C₂²	semidirect
184. D₁₃×#102	C₂²	semidirect
185. #11718423	C₂²	semidirect
186. #11718423	C₂²	semidirect
187. #11718422	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718393	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718357	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. C₈×D₅₂	C₂²	semidirect
202. #11718346	C₂²	semidirect
750. #3297	D₁₃	semidirect
852. C₂²⋊D₁₃	#135	semidirect
937. #553	C₂×D₁₃	semidirect
952. #546	C₂×D₁₃	semidirect
981. #488	C₂×D₁₃	semidirect
988. #484	C₂×D₁₃	semidirect
993. #482	C₂×D₁₃	semidirect
997. #478	C₂×D₁₃	semidirect
1007. #466	C₂×D₁₃	semidirect
1015. #465	C₂×D₁₃	semidirect
1021. #463	C₂×D₁₃	semidirect
1057. #449	C₂×D₁₃	semidirect
1063. #447	C₂×D₁₃	semidirect
1071. C₄×D₈	C₂×D₁₃	semidirect
1079. C₈×D₄	C₂×D₁₃	semidirect
1085. #416	C₂×D₁₃	semidirect
1089. C₂×#102	C₂×D₁₃	semidirect
1707. C₁₃	#61567	semidirect

Maximal subgroups

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

subgroup	index
#13128861	2
#13128320	2
#13126784	2
#13126760	2
#13126737	2
#13126732	2
#13126710	2
#13126683	2
#13126656	2
#13126593	2
#13126564	2
#13126549	2
#13126548	2
#13126529	2
#13126522	2
#13126517	2
#13126506	2
#13125813	2
#13125768	2
#13125627	2
#13125625	2
#13125606	2
#13125596	2
#13124892	2
#13124859	2
#13124056	2
#13124049	2
C₂×#11718442	2
D₁₃×#449	2
#13123857	2
C₁₃×#3297	2
#61567	13