Subgroups — #16744506

Order 3328.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128398	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128322	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127851	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127730	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127557	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127538	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127429	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127273	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127269	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127134	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127076	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126864	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126860	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126794	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126790	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126429	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126319	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126311	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125427	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125425	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125392	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124892	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124887	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124885	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124842	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124834	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123800	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88203	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88165	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	—	2	1	no	—
33	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
34	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
35	#11719534	C₂²	1	1	yes	characteristic, complemented
36	#11719533	—	2	1	no	—
37	#11719529	C₂²	1	1	yes	characteristic, complemented
38	C₂×#88203	C₂²	1	1	yes	characteristic
39	C₂×#88165	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	#11719432	C₂²	1	1	yes	characteristic, complemented
42	#11719431	C₂²	1	1	yes	characteristic
43	#11719423	C₂²	1	1	yes	characteristic, complemented
44	#11719422	C₂²	1	1	yes	characteristic
45	#11719382	—	2	1	no	—
46	#11719381	—	2	1	no	—
47	#11719316	C₂²	1	1	yes	characteristic
48	#11719316	C₂²	1	1	yes	characteristic, complemented
49	#11719315	—	2	1	no	—
50	#11719315	—	2	1	no	—
51	#11719314	C₂²	1	1	yes	characteristic
52	#11719314	C₂²	1	1	yes	characteristic, complemented
53	#11719286	C₂²	1	1	yes	characteristic, complemented
54	#11719285	C₂²	1	1	yes	characteristic, complemented
55	#11719283	C₂²	1	1	yes	characteristic, complemented
56	#11719273	C₂²	1	1	yes	characteristic, complemented
57	#11719261	—	2	1	no	—
58	#11719259	C₂²	1	1	yes	characteristic, complemented
59	#11719253	C₂²	1	1	yes	characteristic
60	#11719253	C₂²	1	1	yes	characteristic, complemented
61	#11719252	—	2	1	no	—
62	#11719252	—	2	1	no	—
63	#11719252	—	2	1	no	—
64	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
67	#11719245	—	2	1	no	—
68	#11719244	C₂²	1	1	yes	characteristic, complemented
69	#11719243	—	2	1	no	—
70	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
71	#11719237	C₂²	1	1	yes	characteristic, complemented
72	#11719236	—	2	1	no	—
73	#11719234	C₂²	1	1	yes	characteristic, complemented
74	#11719232	—	2	1	no	—
75	#11719184	—	2	1	no	—
76	#11719184	C₂²	1	1	yes	characteristic, complemented
77	C₄×#6127	C₂²	1	1	yes	characteristic
78	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
79	C₂×#88126	—	2	1	no	—
80	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
93	#11718893	C₂²	1	1	yes	characteristic, complemented
94	#11718837	C₂²	1	1	yes	characteristic, complemented
95	#11718836	C₂²	1	1	yes	characteristic, complemented
96	#11718835	C₂²	1	1	yes	characteristic, complemented
97	#11718832	C₂²	1	1	yes	characteristic, complemented
98	#11718830	C₂²	1	1	yes	characteristic
99	#11718830	C₂²	1	1	yes	characteristic, complemented
100	#11718826	C₂²	1	1	yes	characteristic, complemented
101	#11718823	C₂²	1	1	yes	characteristic, complemented
102	#11718819	C₂²	1	1	yes	characteristic, complemented
103	#11718817	C₂²	1	1	yes	characteristic, complemented
104	#11718813	C₂²	1	1	yes	characteristic, complemented
105	#11718811	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718750	C₂²	1	1	yes	characteristic, complemented
109	#11718741	C₂²	1	1	yes	characteristic, complemented
110	#11718735	C₂²	1	1	yes	characteristic, complemented
111	#11718732	C₂²	1	1	yes	characteristic, complemented
112	#11718703	C₂²	1	1	yes	characteristic, complemented
113	#11718703	C₂²	1	1	yes	characteristic, complemented
114	#11718700	C₂²	1	1	yes	characteristic, complemented
115	#11718700	C₂²	1	1	yes	characteristic, complemented
116	#11718687	C₂²	1	1	yes	characteristic, complemented
117	#11718687	C₂²	1	1	yes	characteristic, complemented
118	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
119	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
121	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
122	#11718675	C₂²	1	1	yes	characteristic
123	#11718675	C₂²	1	1	yes	characteristic, complemented
124	C₄×#6104	C₂²	1	1	yes	characteristic
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
128	#11718662	C₂²	1	1	yes	characteristic, complemented
129	#11718656	C₂²	1	1	yes	characteristic, complemented
130	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
131	#11718551	C₂²	1	1	yes	characteristic, complemented
132	#11718550	C₂²	1	1	yes	characteristic, complemented
133	#11718546	C₂²	1	1	yes	characteristic, complemented
134	#11718543	C₂²	1	1	yes	characteristic, complemented
135	#11718542	C₂²	1	1	yes	characteristic, complemented
136	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
137	#11718536	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718526	C₂²	1	1	yes	characteristic, complemented
142	#11718525	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic, complemented
145	#11718517	C₂²	1	1	yes	characteristic, complemented
146	#11718516	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic
150	#11718505	C₂²	1	1	yes	characteristic, complemented
151	#11718497	C₂²	1	1	yes	characteristic, complemented
152	#11718497	C₂²	1	1	yes	characteristic, complemented
153	#11718489	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic
156	#11718479	C₂²	1	1	yes	characteristic, complemented
157	#11718473	C₂²	1	1	yes	characteristic, complemented
158	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718468	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic, complemented
161	#11718456	C₂²	1	1	yes	characteristic, complemented
162	#11718453	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718446	C₂²	1	1	yes	characteristic
165	#11718443	C₂²	1	1	yes	characteristic, complemented
166	#11718442	C₂²	1	1	yes	characteristic, complemented
167	#11718440	C₂²	1	1	yes	characteristic, complemented
168	#11718439	C₂²	1	1	yes	characteristic, complemented
169	#11718437	C₂²	1	1	yes	characteristic
170	#11718435	C₂²	1	1	yes	characteristic, complemented
171	#11718434	C₂²	1	1	yes	characteristic
172	#11718434	C₂²	1	1	yes	characteristic, complemented
173	#11718432	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
177	#11718427	C₂²	1	1	yes	characteristic, complemented
178	#11718425	C₂²	1	1	yes	characteristic, complemented
179	#11718423	C₂²	1	1	yes	characteristic, complemented
180	#11718422	C₂²	1	1	yes	characteristic, complemented
181	#11718422	C₂²	1	1	yes	characteristic, complemented
182	#11718421	C₂²	1	1	yes	characteristic, complemented
183	#11718420	C₂²	1	1	yes	characteristic, complemented
184	#11718418	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718396	C₂²	1	1	yes	characteristic, complemented
188	#11718393	C₂²	1	1	yes	characteristic
189	#11718392	C₂²	1	1	yes	characteristic, complemented
190	#11718390	C₂²	1	1	yes	characteristic, complemented
191	#11718390	C₂²	1	1	yes	characteristic, complemented
192	#11718389	C₂²	1	1	yes	characteristic, complemented
193	#11718389	C₂²	1	1	yes	characteristic, complemented
194	#11718383	C₂²	1	1	yes	characteristic, complemented
195	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
196	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
197	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
198	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
199	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
200	#11718346	C₂²	1	1	yes	characteristic, complemented
201	#11718346	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	4	8	no	—
206	C₂×#6131	—	2	1	no	—
207	C₂×Q₈×D₁₃	—	2	1	no	—
208	C₂×#6129	—	2	1	no	—
209	C₂×#6129	—	2	1	no	—
210	C₂×#6129	—	2	1	no	—
211	C₂×#6129	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	—	2	1	no	—
214	C₂×D₄×D₁₃	—	2	1	no	—
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6127	—	2	1	no	—
219	C₂×#6127	—	2	1	no	—
220	C₂×#6127	D₄	1	1	yes	characteristic
221	C₂²×D₅₂	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₁₃	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂²×C₄×D₁₃	—	2	1	no	—
225	C₂²×C₄×D₁₃	—	2	1	no	—
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×#127	C₂³	1	1	yes	characteristic
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₁₃	—	2	1	no	—
248	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
249	#88203	—	2	4	no	—
250	#88201	C₂³	1	1	yes	characteristic
251	#88200	—	2	1	no	—
252	#88200	—	2	1	no	—
253	#88200	C₂³	1	1	yes	characteristic
254	#88200	C₂³	1	1	yes	characteristic
255	#88198	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	C₂×#6106	C₂³	1	1	yes	characteristic
258	#88194	C₂³	1	1	yes	characteristic
259	#88194	C₂³	1	1	yes	characteristic
260	#88193	—	2	1	no	—
261	#88193	—	2	1	no	—
262	#88193	—	2	1	no	—
263	#88193	—	2	1	no	—
264	#88192	—	2	1	no	—
265	#88192	—	2	1	no	—
266	#88192	C₂³	1	1	yes	characteristic
267	#88192	C₂³	1	1	yes	characteristic
268	#88191	—	2	1	no	—
269	#88191	—	2	1	no	—
270	#88191	—	2	1	no	—
271	#88191	—	2	1	no	—
272	#88191	—	2	1	no	—
273	#88189	—	2	1	no	—
274	#88189	—	2	1	no	—
275	#88189	—	2	1	no	—
276	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×#6105	C₂³	1	1	yes	characteristic
281	C₂×#6105	C₂³	1	1	yes	characteristic
282	C₂×#6104	C₂³	1	1	yes	characteristic
283	C₂×#6104	C₂³	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	C₂×#6104	C₂³	1	1	yes	characteristic
286	#88184	—	2	1	no	—
287	#88184	C₂³	1	1	yes	characteristic
288	#88183	—	2	1	no	—
289	#88183	—	2	1	no	—
290	#88183	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
302	C₂×#6103	—	2	1	no	—
303	C₂×#6103	—	2	1	no	—
304	C₂×#6103	—	2	1	no	—
305	#88180	D₄	1	1	yes	characteristic
306	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
307	#88178	—	2	1	no	—
308	#88178	C₂³	1	1	yes	characteristic
309	C₂×#6101	—	2	1	no	—
310	C₂×#6101	—	2	1	no	—
311	C₂×C₄×Dic₁₃	—	2	1	no	—
312	C₂×#6099	C₂³	1	1	yes	characteristic
313	C₂×#6099	C₂³	1	1	yes	characteristic
314	#88165	—	2	4	no	—
315	D₈×D₁₃	—	2	4	no	—
316	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
317	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
318	C₂×#6095	C₂³	1	1	yes	characteristic
319	C₂×#6095	C₂³	1	1	yes	characteristic
320	C₂×#6094	C₂³	1	1	yes	characteristic
321	C₂×#6094	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	#88152	—	2	1	no	—
325	#88152	—	2	1	no	—
326	#88151	C₂³	1	1	yes	characteristic
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88150	—	2	1	no	—
331	#88149	C₂³	1	1	yes	characteristic
332	#88149	C₂³	1	1	yes	characteristic
333	#88149	C₂³	1	1	yes	characteristic
334	#88148	—	2	1	no	—
335	#88148	—	2	1	no	—
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88147	C₂³	1	1	yes	characteristic
339	#88147	C₂³	1	1	yes	characteristic
340	#88147	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	#88144	C₂³	1	1	yes	characteristic
346	#88143	—	2	1	no	—
347	#88143	—	2	1	no	—
348	#88142	C₂³	1	1	yes	characteristic
349	#88142	C₂³	1	1	yes	characteristic
350	#88142	C₂³	1	1	yes	characteristic
351	#88141	C₂³	1	1	yes	characteristic
352	#88140	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88139	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88137	—	2	1	no	—
362	#88137	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88136	—	2	1	no	—
365	#88136	—	2	1	no	—
366	#88136	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	C₂²⋊C₄×D₁₃	—	2	1	no	—
372	C₂²⋊C₄×D₁₃	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	#88133	—	2	1	no	—
375	#88132	—	2	1	no	—
376	#88132	—	2	1	no	—
377	#88132	—	2	1	no	—
378	#88132	—	2	1	no	—
379	#88131	—	2	1	no	—
380	#88130	—	2	1	no	—
381	#88130	—	2	1	no	—
382	#88130	—	2	1	no	—
383	#88129	—	2	1	no	—
384	#88129	C₂³	1	1	yes	characteristic
385	C₄×D₅₂	—	2	1	no	—
386	C₄×D₅₂	—	2	1	no	—
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	D₄	1	1	yes	characteristic
389	C₄×D₅₂	C₂³	1	1	yes	characteristic
390	C₄×D₅₂	C₂³	1	1	yes	characteristic
391	C₄×D₅₂	C₂³	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	C₂³	1	1	yes	characteristic
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	#88126	—	2	1	no	—
396	#88126	—	2	1	no	—
397	#88126	—	2	1	no	—
398	#88126	—	2	1	no	—
399	#88126	—	2	1	no	—
400	#88126	—	2	1	no	—
401	#88126	—	2	1	no	—
402	#88126	D₄	1	1	yes	characteristic
403	#88126	D₄	1	1	yes	characteristic
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	#88124	—	2	1	no	—
407	#88124	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	—	2	1	no	—
409	C₄×Dic₂₆	D₄	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
429	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88058	C₂³	1	1	yes	characteristic
450	#88057	C₂³	1	1	yes	characteristic
451	#88057	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88056	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88055	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	C₄×#1055	C₂³	1	1	yes	characteristic
482	#61437	—	13	1	no	maximal, Sylow
483	C₂³×D₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₁₃×#41	—	2	2	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	4	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	#6131	—	4	4	no	—
528	Q₈×D₁₃	—	4	4	no	—
529	#6129	—	2	2	no	—
530	#6129	—	4	1	no	—
531	#6129	—	4	4	no	—
532	#6129	—	4	4	no	—
533	#6129	—	4	4	no	—
534	D₄×D₁₃	—	2	2	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	1	no	—
539	D₄×D₁₃	—	4	1	no	—
540	D₄×D₁₃	—	4	4	no	—
541	D₄×D₁₃	—	4	4	no	—
542	D₄×D₁₃	—	4	4	no	—
543	#6127	—	2	4	no	—
544	#6127	—	4	4	no	—
545	#6127	—	4	4	no	—
546	C₂×D₅₂	—	2	2	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	4	1	no	—
552	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
553	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
554	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
555	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	4	4	no	—
568	C₂×C₄×D₁₃	—	4	4	no	—
569	C₂×C₄×D₁₃	—	4	4	no	—
570	C₂×C₄×D₁₃	—	4	4	no	—
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
581	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
582	C₁₃×SD₁₆	—	4	1	no	—
583	C₁₃×SD₁₆	—	4	1	no	—
584	C₁₃×D₈	—	2	2	no	—
585	C₁₃×D₈	—	2	2	no	—
586	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₄²×C₁₃	—	2	1	no	—
605	C₄²×C₁₃	—	2	1	no	—
606	C₄²×C₁₃	—	2	1	no	—
607	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
620	#6106	—	2	2	no	—
621	#6106	—	2	2	no	—
622	#6105	—	2	2	no	—
623	#6105	—	4	1	no	—
624	#6104	—	2	2	no	—
625	#6104	—	2	2	no	—
626	#6104	—	4	1	no	—
627	#6104	#41	1	4	yes	complemented
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	C₂×D₄	1	1	yes	characteristic
649	#6103	C₂×D₄	1	1	yes	characteristic
650	#6103	C₂×D₄	1	1	yes	characteristic
651	#6103	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₃	—	2	1	no	—
653	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	C₂×D₄	1	1	yes	characteristic
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
690	#6099	—	2	2	no	—
691	#6099	—	4	1	no	—
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	C₂×#1055	C₂⁴	1	1	yes	characteristic
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	D₁₀₄	—	2	2	no	—
697	D₁₀₄	—	4	1	no	—
698	#6095	—	2	2	no	—
699	#6095	—	4	1	no	—
700	#6094	—	2	2	no	—
701	#6094	—	4	1	no	—
702	C₈×D₁₃	—	2	2	no	—
703	C₈×D₁₃	—	4	1	no	—
704	#3475	—	13	1	no	—
705	D₄×#41	—	13	1	no	—
706	#3397	—	13	1	no	—
707	#3384	—	13	1	no	—
708	#3367	—	13	1	no	—
709	#3366	—	13	1	no	—
710	#3354	—	13	1	no	—
711	#3343	—	13	1	no	—
712	#3343	—	13	1	no	—
713	#3330	—	13	1	no	—
714	#3325	—	13	1	no	—
715	#3310	—	13	1	no	—
716	#3310	—	13	1	no	—
717	#3306	—	13	1	no	—
718	#3306	—	13	1	no	—
719	#3272	—	13	1	no	—
720	#3264	—	13	1	no	—
721	#3264	—	13	1	no	—
722	#3171	—	13	1	no	—
723	#3171	—	13	1	no	—
724	#3167	—	13	1	no	—
725	#3106	—	13	1	no	—
726	#3106	D₁₃	1	1	yes	characteristic, complemented
727	#3105	—	13	1	no	—
728	#3105	—	13	1	no	—
729	#3101	—	13	1	no	—
730	#3100	—	13	1	no	—
731	#2965	—	13	1	no	—
732	C₄×AGL(1,ℤ/8)	—	13	1	no	—
733	C₄×AGL(1,ℤ/8)	—	13	1	no	—
734	C₂×C₄×D₈	—	13	1	no	—
735	C₂³×C₁₃	—	2	1	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	—	2	1	no	—
738	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
739	C₂²×D₁₃	—	2	1	no	—
740	C₂²×D₁₃	—	2	1	no	—
741	C₂²×D₁₃	—	2	1	no	—
742	C₂²×D₁₃	—	4	2	no	—
743	C₂²×D₁₃	—	4	2	no	—
744	C₂²×D₁₃	—	4	2	no	—
745	C₂²×D₁₃	—	4	2	no	—
746	C₂²×D₁₃	—	4	2	no	—
747	C₂²×D₁₃	—	4	2	no	—
748	C₂²×D₁₃	—	4	2	no	—
749	C₂²×D₁₃	—	4	2	no	—
750	C₂²×D₁₃	—	8	1	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	C₂²×D₁₃	—	8	1	no	—
753	C₂²×D₁₃	—	8	1	no	—
754	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	4	2	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	4	2	no	—
765	D₄×C₁₃	—	4	2	no	—
766	D₄×C₁₃	—	4	2	no	—
767	D₄×C₁₃	—	4	2	no	—
768	D₄×C₁₃	—	8	1	no	—
769	D₄×C₁₃	C₂×#41	1	2	yes	complemented
770	C₂×C₄×C₁₃	—	2	2	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	4	1	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	4	2	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
790	C₂²⋊D₁₃	—	2	2	no	—
791	C₂²⋊D₁₃	—	2	2	no	—
792	C₂²⋊D₁₃	—	4	2	no	—
793	C₂²⋊D₁₃	—	4	2	no	—
794	C₂²⋊D₁₃	—	4	2	no	—
795	C₂²⋊D₁₃	—	4	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	4	2	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	8	1	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	4	2	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	—	4	2	no	—
811	C₂×Dic₁₃	—	4	2	no	—
812	C₂×Dic₁₃	—	4	2	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	D₅₂	—	2	2	no	—
821	D₅₂	—	2	1	no	—
822	D₅₂	—	2	1	no	—
823	D₅₂	—	2	1	no	—
824	D₅₂	—	2	1	no	—
825	D₅₂	—	2	1	no	—
826	D₅₂	—	4	2	no	—
827	D₅₂	—	4	2	no	—
828	D₅₂	—	4	2	no	—
829	D₅₂	—	8	1	no	—
830	D₅₂	C₂×#41	1	2	yes	—
831	C₄×D₁₃	—	2	2	no	—
832	C₄×D₁₃	—	2	1	no	—
833	C₄×D₁₃	—	2	1	no	—
834	C₄×D₁₃	—	2	1	no	—
835	C₄×D₁₃	—	2	1	no	—
836	C₄×D₁₃	—	4	1	no	—
837	C₄×D₁₃	—	4	1	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	4	2	no	—
842	C₄×D₁₃	—	4	2	no	—
843	C₄×D₁₃	—	4	2	no	—
844	C₄×D₁₃	—	4	2	no	—
845	C₄×D₁₃	—	4	2	no	—
846	C₄×D₁₃	—	4	2	no	—
847	C₄×D₁₃	—	4	2	no	—
848	C₄×D₁₃	—	4	2	no	—
849	C₄×D₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
850	Dic₂₆	—	2	2	no	—
851	Dic₂₆	—	2	1	no	—
852	Dic₂₆	—	2	1	no	—
853	Dic₂₆	—	4	2	no	—
854	Dic₂₆	—	4	2	no	—
855	Dic₂₆	—	8	1	no	—
856	C₈×C₁₃	—	2	1	no	—
857	C₈×C₁₃	—	2	1	no	—
858	C₈×C₁₃	—	2	1	no	—
859	C₈×C₁₃	—	2	1	no	—
860	#1055	—	2	1	no	—
861	#1055	—	2	1	no	—
862	#1055	—	2	1	no	—
863	#1055	C₂×#41	1	2	yes	complemented
864	C₂²×#41	—	26	1	no	—
865	C₂×AGL(1,ℤ/8)	—	13	1	no	—
866	C₂×AGL(1,ℤ/8)	—	13	1	no	—
867	C₂²×D₈	—	13	1	no	—
868	#556	—	13	1	no	—
869	#555	—	13	1	no	—
870	#554	—	13	1	no	—
871	#553	—	26	1	no	—
872	#552	—	13	1	no	—
873	#552	—	13	1	no	—
874	#552	—	26	1	no	—
875	#551	—	26	1	no	—
876	#551	—	26	1	no	—
877	#550	—	13	1	no	—
878	D₄×Q₈	—	13	1	no	—
879	#548	—	26	1	no	—
880	#547	—	13	1	no	—
881	#547	—	13	1	no	—
882	#547	—	13	1	no	—
883	#547	—	13	1	no	—
884	#546	—	13	1	no	—
885	#546	—	13	1	no	—
886	#546	—	26	1	no	—
887	#546	—	26	1	no	—
888	#546	—	26	1	no	—
889	D₄²	—	13	1	no	—
890	D₄²	—	13	1	no	—
891	D₄²	—	13	1	no	—
892	#533	—	13	1	no	—
893	#532	—	13	1	no	—
894	#532	—	13	1	no	—
895	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
896	#529	—	13	1	no	—
897	#529	—	13	1	no	—
898	#529	—	26	1	no	—
899	#529	—	26	1	no	—
900	#525	—	26	1	no	—
901	#525	—	26	1	no	—
902	#525	—	26	1	no	—
903	#525	—	26	1	no	—
904	C₄×#41	—	13	1	no	—
905	C₄×#41	—	13	1	no	—
906	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
907	C₂×C₄×D₄	—	13	1	no	—
908	C₂×C₄×D₄	—	13	1	no	—
909	C₂×C₄×D₄	—	13	1	no	—
910	C₂×C₄×D₄	—	13	1	no	—
911	C₂×#117	—	26	1	no	—
912	#501	—	13	1	no	—
913	#501	—	13	1	no	—
914	#498	—	13	1	no	—
915	#496	—	13	1	no	—
916	#496	—	13	1	no	—
917	#492	—	13	1	no	—
918	#490	—	13	1	no	—
919	#490	—	13	1	no	—
920	#489	—	13	1	no	—
921	#489	—	13	1	no	—
922	#487	—	13	1	no	—
923	#486	—	13	1	no	—
924	#484	—	13	1	no	—
925	#484	—	13	1	no	—
926	#483	—	13	1	no	—
927	#483	—	13	1	no	—
928	#482	—	13	1	no	—
929	#482	—	13	1	no	—
930	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
931	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#481	—	13	1	no	—
933	#481	—	13	1	no	—
934	#480	—	13	1	no	—
935	#480	—	13	1	no	—
936	#478	—	13	1	no	—
937	#478	—	13	1	no	—
938	#478	—	13	1	no	—
939	#478	—	13	1	no	—
940	#477	—	13	1	no	—
941	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
942	#476	—	13	1	no	—
943	#476	—	13	1	no	—
944	#476	—	13	1	no	—
945	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#474	—	13	1	no	—
947	#474	—	13	1	no	—
948	#469	—	13	1	no	—
949	#469	—	13	1	no	—
950	#469	—	13	1	no	—
951	#469	—	13	1	no	—
952	#468	—	13	1	no	—
953	#468	—	13	1	no	—
954	#468	—	13	1	no	—
955	#468	—	13	1	no	—
956	#465	—	13	1	no	—
957	#465	—	13	1	no	—
958	#465	—	13	1	no	—
959	#465	—	13	1	no	—
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#461	—	13	1	no	—
965	#461	—	13	1	no	—
966	#460	—	13	1	no	—
967	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#459	—	13	1	no	—
969	#459	—	13	1	no	—
970	#459	—	13	1	no	—
971	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#450	—	13	1	no	—
973	#450	—	13	1	no	—
974	#450	—	13	1	no	—
975	#450	—	13	1	no	—
976	#449	—	13	1	no	—
977	#449	—	13	1	no	—
978	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#447	—	13	1	no	—
981	#447	—	13	1	no	—
982	#447	—	13	1	no	—
983	#447	—	13	1	no	—
984	#446	—	13	1	no	—
985	#446	—	13	1	no	—
986	#442	—	13	1	no	—
987	#442	—	13	1	no	—
988	#442	—	13	1	no	—
989	#442	—	13	1	no	—
990	#440	—	13	1	no	—
991	#440	—	13	1	no	—
992	#440	—	13	1	no	—
993	#440	—	13	1	no	—
994	C₄×SD₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	C₄×SD₁₆	—	13	1	no	—
998	C₄×SD₁₆	—	13	1	no	—
999	C₄×SD₁₆	—	13	1	no	—
1000	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	C₄×D₈	—	13	1	no	—
1003	C₄×D₈	—	13	1	no	—
1004	C₄×D₈	—	13	1	no	—
1005	C₄×D₈	—	13	1	no	—
1006	C₄×D₈	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	C₄×D₈	—	13	1	no	—
1009	C₄×D₈	—	13	1	no	—
1010	C₄×D₈	—	13	1	no	—
1011	C₄×D₈	—	13	1	no	—
1012	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#436	—	13	1	no	—
1015	#436	—	13	1	no	—
1016	#435	—	13	1	no	—
1017	#435	—	13	1	no	—
1018	#435	—	13	1	no	—
1019	#435	—	13	1	no	—
1020	#431	—	13	1	no	—
1021	#431	—	13	1	no	—
1022	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#428	—	13	1	no	—
1024	#428	—	13	1	no	—
1025	C₂×#107	—	13	1	no	—
1026	#418	—	13	1	no	—
1027	#418	—	13	1	no	—
1028	#417	—	13	1	no	—
1029	#417	—	13	1	no	—
1030	C₂×#102	—	13	1	no	—
1031	C₂×#102	—	13	1	no	—
1032	C₄×M₁₆	—	13	1	no	—
1033	C₄×M₁₆	—	13	1	no	—
1034	C₂×C₄×C₈	—	13	1	no	—
1035	C₂²×C₁₃	—	2	1	no	—
1036	C₂²×C₁₃	—	2	2	no	—
1037	C₂²×C₁₃	—	2	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	2	1	no	—
1051	C₂×D₁₃	—	2	1	no	—
1052	C₂×D₁₃	—	2	2	no	—
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	4	1	no	—
1062	C₂×D₁₃	—	8	4	no	—
1063	C₂×D₁₃	—	8	4	no	—
1064	C₂×D₁₃	—	8	4	no	—
1065	C₂×D₁₃	—	8	4	no	—
1066	C₂×D₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1067	C₄×C₁₃	—	2	1	no	—
1068	C₄×C₁₃	—	2	1	no	—
1069	C₄×C₁₃	—	2	1	no	—
1070	C₄×C₁₃	—	2	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1077	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1078	C₄×C₁₃	#585	1	1	yes	characteristic
1079	Dic₁₃	—	2	1	no	—
1080	Dic₁₃	—	2	1	no	—
1081	Dic₁₃	—	2	1	no	—
1082	Dic₁₃	—	2	1	no	—
1083	Dic₁₃	—	2	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	—	4	1	no	—
1087	Dic₁₃	—	4	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
1090	C₂×#41	—	2	1	no	—
1091	C₂×#41	—	13	1	no	—
1092	C₂×#41	—	13	1	no	—
1093	C₂×#41	—	26	1	no	—
1094	C₂×#41	—	26	1	no	—
1095	C₂×#41	—	26	1	no	—
1096	C₂×#41	—	26	1	no	—
1097	C₂×#41	—	26	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	—	52	8	no	—
1100	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂²×Q₈	—	26	1	no	—
1102	C₂²×D₄	—	13	1	no	—
1103	C₂²×D₄	—	13	1	no	—
1104	C₂²×D₄	—	13	1	no	—
1105	C₂²×D₄	—	13	1	no	—
1106	C₂²×D₄	—	26	1	no	—
1107	C₂²×D₄	—	26	1	no	—
1108	C₂²×D₄	—	26	1	no	—
1109	C₂³×C₄	—	26	1	no	—
1110	C₂³×C₄	—	26	1	no	—
1111	C₂³×C₄	—	26	1	no	—
1112	C₂³×C₄	—	26	1	no	—
1113	AGL(1,ℤ/8)	—	26	4	no	—
1114	AGL(1,ℤ/8)	—	26	4	no	—
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	13	1	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×SD₁₆	—	13	1	no	—
1119	C₂×SD₁₆	—	13	1	no	—
1120	C₂×SD₁₆	—	13	1	no	—
1121	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	—	13	1	no	—
1125	C₂×D₈	—	13	1	no	—
1126	C₂×D₈	—	13	1	no	—
1127	C₂×D₈	—	13	1	no	—
1128	C₂×D₈	—	13	1	no	—
1129	C₂×D₈	—	26	4	no	—
1130	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1131	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×M₁₆	—	13	1	no	—
1133	C₂×M₁₆	—	13	1	no	—
1134	C₂×M₁₆	—	13	1	no	—
1135	C₂×M₁₆	—	13	1	no	—
1136	C₂²×C₈	—	13	1	no	—
1137	C₂²×C₈	—	13	1	no	—
1138	C₄⋊Q₈	—	13	1	no	—
1139	C₄⋊Q₈	—	13	1	no	—
1140	C₄⋊Q₈	—	13	1	no	—
1141	C₄⋊Q₈	—	13	1	no	—
1142	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1143	#127	—	13	1	no	—
1144	#127	—	13	1	no	—
1145	#127	C₂²×D₁₃	1	1	yes	characteristic
1146	#126	—	26	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#126	—	26	1	no	—
1150	#126	—	26	1	no	—
1151	#126	—	26	1	no	—
1152	#125	—	13	1	no	—
1153	#125	—	13	1	no	—
1154	#125	—	26	1	no	—
1155	#125	—	26	1	no	—
1156	#125	—	26	1	no	—
1157	#124	—	2	1	no	—
1158	#124	—	13	1	no	—
1159	#124	—	13	1	no	—
1160	#124	—	26	1	no	—
1161	#124	—	26	1	no	—
1162	#124	—	26	1	no	—
1163	#124	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	#123	—	26	1	no	—
1170	#123	—	26	1	no	—
1171	#123	—	26	1	no	—
1172	#123	—	26	1	no	—
1173	#123	—	26	1	no	—
1174	#123	—	26	1	no	—
1175	#123	—	26	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	C₂²⋊Q₈	—	13	1	no	—
1179	C₂²⋊Q₈	—	13	1	no	—
1180	C₂²⋊Q₈	—	13	1	no	—
1181	C₂²⋊Q₈	—	13	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	—	26	1	no	—
1189	C₂²⋊Q₈	—	26	1	no	—
1190	C₂²⋊Q₈	—	26	1	no	—
1191	C₂²⋊Q₈	—	26	1	no	—
1192	C₂²⋊Q₈	—	26	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	13	1	no	—
1195	#121	—	13	1	no	—
1196	#121	—	13	1	no	—
1197	#121	—	13	1	no	—
1198	#121	—	13	1	no	—
1199	#121	—	13	1	no	—
1200	#121	—	26	1	no	—
1201	#121	—	26	1	no	—
1202	#121	—	26	1	no	—
1203	#121	—	26	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	—	26	1	no	—
1208	#121	—	26	1	no	—
1209	#121	—	26	1	no	—
1210	#121	—	26	1	no	—
1211	#121	—	26	1	no	—
1212	#121	C₂²×D₁₃	1	1	yes	characteristic
1213	#121	C₂²×D₁₃	1	1	yes	characteristic
1214	#120	—	26	1	no	—
1215	#120	—	26	1	no	—
1216	#120	—	26	1	no	—
1217	#120	—	26	1	no	—
1218	#120	—	26	1	no	—
1219	#120	—	26	1	no	—
1220	#120	—	26	1	no	—
1221	#120	—	26	1	no	—
1222	C₄×Q₈	—	13	1	no	—
1223	C₄×Q₈	—	13	1	no	—
1224	C₄×Q₈	—	13	1	no	—
1225	C₄×Q₈	—	13	1	no	—
1226	C₄×Q₈	—	26	1	no	—
1227	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1228	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	13	1	no	—
1233	C₄×D₄	—	13	1	no	—
1234	C₄×D₄	—	13	1	no	—
1235	C₄×D₄	—	13	1	no	—
1236	C₄×D₄	—	13	1	no	—
1237	C₄×D₄	—	13	1	no	—
1238	C₄×D₄	—	13	1	no	—
1239	C₄×D₄	—	13	1	no	—
1240	C₄×D₄	—	13	1	no	—
1241	C₄×D₄	—	13	1	no	—
1242	C₄×D₄	—	13	1	no	—
1243	C₄×D₄	—	13	1	no	—
1244	C₄×D₄	—	13	1	no	—
1245	C₄×D₄	—	13	1	no	—
1246	C₄×D₄	—	13	1	no	—
1247	C₄×D₄	—	13	1	no	—
1248	C₄×D₄	—	13	1	no	—
1249	C₄×D₄	—	13	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	C₄×D₄	—	26	1	no	—
1259	C₄×D₄	—	26	1	no	—
1260	C₄×D₄	—	26	1	no	—
1261	C₄×D₄	—	26	1	no	—
1262	C₄×D₄	—	26	1	no	—
1263	C₄×D₄	—	26	1	no	—
1264	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1265	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1266	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1267	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1268	#117	—	2	1	no	—
1269	#117	—	13	1	no	—
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	26	1	no	—
1274	#117	—	26	1	no	—
1275	#117	—	26	1	no	—
1276	#117	—	26	1	no	—
1277	#117	—	26	1	no	—
1278	#117	—	26	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂×C₄⋊C₄	—	13	1	no	—
1283	C₂×C₄⋊C₄	—	13	1	no	—
1284	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	26	1	no	—
1287	C₂×C₄⋊C₄	—	26	1	no	—
1288	C₂×C₂²⋊C₄	—	26	1	no	—
1289	C₂×C₂²⋊C₄	—	26	1	no	—
1290	C₂×C₂²⋊C₄	—	26	1	no	—
1291	C₂×C₂²⋊C₄	—	26	1	no	—
1292	C₂×C₂²⋊C₄	—	26	1	no	—
1293	C₂×C₂²⋊C₄	—	26	1	no	—
1294	C₂×C₄²	—	2	1	no	—
1295	C₂×C₄²	—	13	1	no	—
1296	C₂×C₄²	—	13	1	no	—
1297	C₂×C₄²	—	26	1	no	—
1298	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	—	13	1	no	—
1302	#107	—	13	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	C₂²×D₁₃	1	1	yes	characteristic
1306	#107	C₂²×D₁₃	1	1	yes	characteristic
1307	#106	—	13	1	no	—
1308	#106	—	13	1	no	—
1309	#106	—	13	1	no	—
1310	#106	—	13	1	no	—
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	C₂²×D₁₃	1	1	yes	characteristic
1314	#106	C₂²×D₁₃	1	1	yes	characteristic
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	—	13	1	no	—
1319	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1320	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	C₂²×D₁₃	1	1	yes	characteristic
1328	#103	C₂²×D₁₃	1	1	yes	characteristic
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	C₂²×D₁₃	1	1	yes	characteristic
1348	#102	C₂²×D₁₃	1	1	yes	characteristic
1349	#102	C₂²×D₁₃	1	1	yes	characteristic
1350	#102	C₂²×D₁₃	1	1	yes	characteristic
1351	#102	C₂²×D₁₃	1	1	yes	characteristic
1352	#102	C₂²×D₁₃	1	1	yes	characteristic
1353	C₂²⋊C₈	—	13	1	no	—
1354	C₂²⋊C₈	—	13	1	no	—
1355	C₂²⋊C₈	—	13	1	no	—
1356	C₂²⋊C₈	—	13	1	no	—
1357	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1359	#97	—	13	1	no	—
1360	#97	—	13	1	no	—
1361	#97	—	13	1	no	—
1362	#97	—	13	1	no	—
1363	C₄×C₈	—	13	1	no	—
1364	C₄×C₈	—	13	1	no	—
1365	C₄×C₈	—	13	1	no	—
1366	C₄×C₈	—	13	1	no	—
1367	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1368	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1369	C₂×C₁₃	—	4	1	no	—
1370	C₂×C₁₃	—	4	2	no	—
1371	C₂×C₁₃	—	8	1	no	—
1372	C₂×C₁₃	—	8	1	no	—
1373	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1374	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1375	C₂×C₁₃	#3584	1	1	yes	characteristic
1376	D₁₃	—	2	2	no	—
1377	D₁₃	—	4	1	no	—
1378	D₁₃	—	4	2	no	—
1379	D₁₃	—	8	1	no	—
1380	D₁₃	—	8	1	no	—
1381	C₂⁴	—	26	1	no	—
1382	C₂⁴	—	26	1	no	—
1383	C₂⁴	—	26	1	no	—
1384	C₂⁴	—	26	1	no	—
1385	#41	—	2	2	no	—
1386	#41	—	4	1	no	—
1387	#41	—	4	4	no	—
1388	#41	—	26	4	no	—
1389	#41	—	26	2	no	—
1390	#41	—	52	4	no	—
1391	#41	—	52	4	no	—
1392	#41	—	52	1	no	—
1393	#41	—	52	4	no	—
1394	#41	—	52	4	no	—
1395	#41	—	52	4	no	—
1396	#41	—	52	4	no	—
1397	C₂×Q₈	—	2	1	no	—
1398	C₂×Q₈	—	13	1	no	—
1399	C₂×Q₈	—	13	1	no	—
1400	C₂×Q₈	—	26	1	no	—
1401	C₂×Q₈	—	26	1	no	—
1402	C₂×Q₈	—	26	1	no	—
1403	C₂×Q₈	—	52	4	no	—
1404	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	13	1	no	—
1411	C₂×D₄	—	13	1	no	—
1412	C₂×D₄	—	13	1	no	—
1413	C₂×D₄	—	13	1	no	—
1414	C₂×D₄	—	13	1	no	—
1415	C₂×D₄	—	13	1	no	—
1416	C₂×D₄	—	26	2	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	1	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	2	no	—
1428	C₂×D₄	—	26	2	no	—
1429	C₂×D₄	—	26	2	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	52	1	no	—
1436	C₂×D₄	—	52	1	no	—
1437	C₂×D₄	—	52	1	no	—
1438	C₂×D₄	—	52	1	no	—
1439	C₂×D₄	—	52	4	no	—
1440	C₂×D₄	—	52	4	no	—
1441	C₂×D₄	—	52	4	no	—
1442	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1443	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1444	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	26	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	52	4	no	—
1474	C₂²×C₄	—	52	4	no	—
1475	C₂²×C₄	—	52	4	no	—
1476	C₂²×C₄	—	52	4	no	—
1477	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1478	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1479	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1480	SD₁₆	—	4	1	no	—
1481	SD₁₆	—	4	1	no	—
1482	SD₁₆	—	26	2	no	—
1483	SD₁₆	—	26	2	no	—
1484	SD₁₆	—	26	2	no	—
1485	SD₁₆	—	26	2	no	—
1486	SD₁₆	—	52	1	no	—
1487	SD₁₆	—	52	1	no	—
1488	D₈	—	2	2	no	—
1489	D₈	—	2	2	no	—
1490	D₈	—	13	4	no	—
1491	D₈	—	26	2	no	—
1492	D₈	—	26	2	no	—
1493	D₈	—	26	2	no	—
1494	D₈	—	52	1	no	—
1495	D₈	—	52	1	no	—
1496	M₁₆	—	26	2	no	—
1497	M₁₆	—	26	2	no	—
1498	M₁₆	—	52	1	no	—
1499	M₁₆	—	52	1	no	—
1500	C₂×C₈	—	13	1	no	—
1501	C₂×C₈	—	13	1	no	—
1502	C₂×C₈	—	13	1	no	—
1503	C₂×C₈	—	13	1	no	—
1504	C₂×C₈	—	26	2	no	—
1505	C₂×C₈	—	52	1	no	—
1506	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	13	1	no	—
1514	C₄⋊C₄	—	13	1	no	—
1515	C₄⋊C₄	—	13	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1543	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1544	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1545	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	13	1	no	—
1554	C₂²⋊C₄	—	13	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	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	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	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₄²	—	2	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	13	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	13	1	no	—
1592	C₄²	—	13	1	no	—
1593	C₄²	—	13	1	no	—
1594	C₄²	—	13	1	no	—
1595	C₄²	—	26	1	no	—
1596	C₄²	—	26	1	no	—
1597	C₄²	—	26	1	no	—
1598	C₄²	D₄×D₁₃	1	1	yes	characteristic
1599	C₄²	D₄×D₁₃	1	1	yes	characteristic
1600	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1601	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1602	C₁₃	#61437	1	1	yes	characteristic, complemented, Sylow
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	13	1	no	—
1607	C₂³	—	13	1	no	—
1608	C₂³	—	26	1	no	—
1609	C₂³	—	26	1	no	—
1610	C₂³	—	26	1	no	—
1611	C₂³	—	52	2	no	—
1612	C₂³	—	52	2	no	—
1613	C₂³	—	52	2	no	—
1614	C₂³	—	52	2	no	—
1615	C₂³	—	52	2	no	—
1616	C₂³	—	52	2	no	—
1617	C₂³	—	52	2	no	—
1618	C₂³	—	52	2	no	—
1619	C₂³	—	104	1	no	—
1620	C₂³	—	104	1	no	—
1621	C₂³	—	104	1	no	—
1622	C₂³	—	104	1	no	—
1623	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1624	Q₈	—	2	1	no	—
1625	Q₈	—	2	1	no	—
1626	Q₈	—	4	2	no	—
1627	Q₈	—	26	2	no	—
1628	Q₈	—	26	1	no	—
1629	Q₈	—	26	1	no	—
1630	Q₈	—	52	2	no	—
1631	Q₈	—	52	2	no	—
1632	Q₈	—	104	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	2	1	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	4	2	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	13	2	no	—
1644	D₄	—	26	2	no	—
1645	D₄	—	26	2	no	—
1646	D₄	—	26	2	no	—
1647	D₄	—	26	1	no	—
1648	D₄	—	26	1	no	—
1649	D₄	—	26	1	no	—
1650	D₄	—	26	1	no	—
1651	D₄	—	26	1	no	—
1652	D₄	—	52	2	no	—
1653	D₄	—	52	2	no	—
1654	D₄	—	52	2	no	—
1655	D₄	—	52	2	no	—
1656	D₄	—	52	2	no	—
1657	D₄	—	52	2	no	—
1658	D₄	—	52	2	no	—
1659	D₄	—	52	2	no	—
1660	D₄	—	52	2	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	52	2	no	—
1663	D₄	—	104	1	no	—
1664	D₄	—	104	1	no	—
1665	D₄	—	104	1	no	—
1666	D₄	—	104	1	no	—
1667	D₄	#41×D₁₃	1	2	yes	complemented
1668	C₂×C₄	—	2	2	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	4	1	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	4	no	—
1684	C₂×C₄	—	13	1	no	—
1685	C₂×C₄	—	13	1	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	1	no	—
1689	C₂×C₄	—	26	2	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	26	1	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	52	1	no	—
1700	C₂×C₄	—	52	1	no	—
1701	C₂×C₄	—	52	2	no	—
1702	C₂×C₄	—	52	2	no	—
1703	C₂×C₄	—	52	2	no	—
1704	C₂×C₄	—	52	2	no	—
1705	C₂×C₄	—	52	2	no	—
1706	C₂×C₄	—	52	2	no	—
1707	C₂×C₄	—	52	2	no	—
1708	C₂×C₄	—	52	2	no	—
1709	C₂×C₄	—	52	2	no	—
1710	C₂×C₄	—	52	2	no	—
1711	C₂×C₄	—	52	2	no	—
1712	C₂×C₄	—	52	2	no	—
1713	C₂×C₄	—	52	2	no	—
1714	C₂×C₄	—	52	2	no	—
1715	C₂×C₄	—	52	2	no	—
1716	C₂×C₄	—	52	2	no	—
1717	C₂×C₄	—	104	1	no	—
1718	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1721	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1722	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1723	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	2	1	no	—
1728	C₈	—	13	2	no	—
1729	C₈	—	26	1	no	—
1730	C₈	—	26	1	no	—
1731	C₈	—	26	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	2	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	13	2	no	—
1745	C₂²	—	26	1	no	—
1746	C₂²	—	26	1	no	—
1747	C₂²	—	26	1	no	—
1748	C₂²	—	26	1	no	—
1749	C₂²	—	26	2	no	—
1750	C₂²	—	26	1	no	—
1751	C₂²	—	52	1	no	—
1752	C₂²	—	52	1	no	—
1753	C₂²	—	52	1	no	—
1754	C₂²	—	52	1	no	—
1755	C₂²	—	52	1	no	—
1756	C₂²	—	52	1	no	—
1757	C₂²	—	52	1	no	—
1758	C₂²	—	52	1	no	—
1759	C₂²	—	104	4	no	—
1760	C₂²	—	104	4	no	—
1761	C₂²	—	104	4	no	—
1762	C₂²	—	104	4	no	—
1763	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	13	2	no	—
1774	C₄	—	26	1	no	—
1775	C₄	—	26	1	no	—
1776	C₄	—	26	1	no	—
1777	C₄	—	26	1	no	—
1778	C₄	—	26	1	no	—
1779	C₄	—	52	1	no	—
1780	C₄	—	52	1	no	—
1781	C₄	—	52	1	no	—
1782	C₄	—	52	1	no	—
1783	C₄	—	52	1	no	—
1784	C₄	D₁₃×AGL(1,ℤ/8)	1	2	yes	—
1785	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1786	C₄	#11719648	1	1	yes	characteristic
1787	C₂	—	4	1	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	8	1	no	—
1790	C₂	—	8	1	no	—
1791	C₂	—	26	2	no	—
1792	C₂	—	52	1	no	—
1793	C₂	—	52	2	no	—
1794	C₂	—	104	1	no	—
1795	C₂	—	104	1	no	—
1796	C₂	#13128319	1	1	yes	characteristic
1797	C₂	C₂×D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1798	C₂	#13129605	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3106	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3106	D₁₃
hypocenter	C₁₃	#61437
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3106

Complements

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

N	H ≅ G/N	type
1. #13128398	C₂	semidirect
2. #13128322	C₂	semidirect
3. #13127851	C₂	semidirect
4. #13127730	C₂	semidirect
5. #13127557	C₂	semidirect
6. #13127538	C₂	semidirect
7. #13127429	C₂	semidirect
8. #13127273	C₂	semidirect
9. #13127269	C₂	semidirect
10. #13127134	C₂	semidirect
11. #13127076	C₂	semidirect
12. #13126864	C₂	semidirect
13. #13126860	C₂	semidirect
14. #13126794	C₂	semidirect
15. #13126790	C₂	semidirect
16. #13126429	C₂	semidirect
17. #13126319	C₂	semidirect
18. #13126311	C₂	semidirect
19. #13125427	C₂	semidirect
20. #13125425	C₂	semidirect
21. #13125392	C₂	semidirect
22. #13124892	C₂	semidirect
23. #13124887	C₂	semidirect
24. #13124885	C₂	semidirect
25. #13124842	C₂	semidirect
26. #13124834	C₂	semidirect
27. #13123800	C₂	semidirect
28. C₄×#88203	C₂	semidirect
29. C₄×#88165	C₂	semidirect
30. C₄×D₈×D₁₃	C₂	semidirect
31. C₁₃×#3106	C₂	semidirect
33. C₁₃×#532	C₂²	semidirect
34. C₄×C₁₃×#41	C₂²	semidirect
35. #11719534	C₂²	semidirect
37. #11719529	C₂²	semidirect
41. #11719432	C₂²	semidirect
43. #11719423	C₂²	semidirect
48. #11719316	C₂²	semidirect
52. #11719314	C₂²	semidirect
53. #11719286	C₂²	semidirect
54. #11719285	C₂²	semidirect
55. #11719283	C₂²	semidirect
56. #11719273	C₂²	semidirect
58. #11719259	C₂²	semidirect
60. #11719253	C₂²	semidirect
65. C₄×D₄×D₁₃	C₂²	semidirect
66. C₄×D₄×D₁₃	C₂²	semidirect
68. #11719244	C₂²	semidirect
70. C₄×#6129	C₂²	semidirect
71. #11719237	C₂²	semidirect
73. #11719234	C₂²	semidirect
76. #11719184	C₂²	semidirect
78. C₂×C₄×D₅₂	C₂²	semidirect
80. C₁₃×#482	C₂²	semidirect
81. C₁₃×#482	C₂²	semidirect
82. C₁₃×#477	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
84. C₁₃×#460	C₂²	semidirect
85. C₁₃×#459	C₂²	semidirect
86. C₁₃×#449	C₂²	semidirect
87. C₁₃×#449	C₂²	semidirect
88. C₄×C₁₃×SD₁₆	C₂²	semidirect
89. C₄×C₁₃×SD₁₆	C₂²	semidirect
90. C₄×C₁₃×D₈	C₂²	semidirect
91. C₄×C₁₃×D₈	C₂²	semidirect
92. C₁₃×#431	C₂²	semidirect
93. #11718893	C₂²	semidirect
94. #11718837	C₂²	semidirect
95. #11718836	C₂²	semidirect
96. #11718835	C₂²	semidirect
97. #11718832	C₂²	semidirect
99. #11718830	C₂²	semidirect
100. #11718826	C₂²	semidirect
101. #11718823	C₂²	semidirect
102. #11718819	C₂²	semidirect
103. #11718817	C₂²	semidirect
104. #11718813	C₂²	semidirect
105. #11718811	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718750	C₂²	semidirect
109. #11718741	C₂²	semidirect
110. #11718735	C₂²	semidirect
111. #11718732	C₂²	semidirect
112. #11718703	C₂²	semidirect
113. #11718703	C₂²	semidirect
114. #11718700	C₂²	semidirect
115. #11718700	C₂²	semidirect
116. #11718687	C₂²	semidirect
117. #11718687	C₂²	semidirect
118. C₄×#6106	C₂²	semidirect
119. C₄×#6106	C₂²	semidirect
120. C₄×#6105	C₂²	semidirect
121. C₄×#6105	C₂²	semidirect
123. #11718675	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. C₄×#6104	C₂²	semidirect
127. C₄×#6104	C₂²	semidirect
128. #11718662	C₂²	semidirect
129. #11718656	C₂²	semidirect
130. C₄×#6099	C₂²	semidirect
131. #11718551	C₂²	semidirect
132. #11718550	C₂²	semidirect
133. #11718546	C₂²	semidirect
134. #11718543	C₂²	semidirect
135. #11718542	C₂²	semidirect
136. D₁₃×#107	C₂²	semidirect
137. #11718536	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718526	C₂²	semidirect
142. #11718525	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718523	C₂²	semidirect
145. #11718517	C₂²	semidirect
146. #11718516	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718508	C₂²	semidirect
150. #11718505	C₂²	semidirect
151. #11718497	C₂²	semidirect
152. #11718497	C₂²	semidirect
153. #11718489	C₂²	semidirect
154. #11718489	C₂²	semidirect
156. #11718479	C₂²	semidirect
157. #11718473	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718468	C₂²	semidirect
160. #11718466	C₂²	semidirect
161. #11718456	C₂²	semidirect
162. #11718453	C₂²	semidirect
163. #11718447	C₂²	semidirect
165. #11718443	C₂²	semidirect
166. #11718442	C₂²	semidirect
167. #11718440	C₂²	semidirect
168. #11718439	C₂²	semidirect
170. #11718435	C₂²	semidirect
172. #11718434	C₂²	semidirect
173. #11718432	C₂²	semidirect
174. #11718431	C₂²	semidirect
176. D₁₃×#102	C₂²	semidirect
177. #11718427	C₂²	semidirect
178. #11718425	C₂²	semidirect
179. #11718423	C₂²	semidirect
180. #11718422	C₂²	semidirect
181. #11718422	C₂²	semidirect
182. #11718421	C₂²	semidirect
183. #11718420	C₂²	semidirect
184. #11718418	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718396	C₂²	semidirect
189. #11718392	C₂²	semidirect
190. #11718390	C₂²	semidirect
191. #11718390	C₂²	semidirect
192. #11718389	C₂²	semidirect
193. #11718389	C₂²	semidirect
194. #11718383	C₂²	semidirect
196. C₄×D₁₀₄	C₂²	semidirect
197. C₄×#6095	C₂²	semidirect
198. C₄×#6095	C₂²	semidirect
199. C₄×#6094	C₂²	semidirect
200. #11718346	C₂²	semidirect
201. #11718346	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
627. #6104	#41	semidirect
726. #3106	D₁₃	semidirect
769. D₄×C₁₃	C₂×#41	semidirect
849. C₄×D₁₃	AGL(1,ℤ/8)	semidirect
863. #1055	C₂×#41	semidirect
895. #532	C₂×D₁₃	semidirect
906. C₄×#41	C₂×D₁₃	semidirect
930. #482	C₂×D₁₃	semidirect
931. #482	C₂×D₁₃	semidirect
941. #477	C₂×D₁₃	semidirect
945. #476	C₂×D₁₃	semidirect
967. #460	C₂×D₁₃	semidirect
971. #459	C₂×D₁₃	semidirect
978. #449	C₂×D₁₃	semidirect
979. #449	C₂×D₁₃	semidirect
1000. C₄×SD₁₆	C₂×D₁₃	semidirect
1001. C₄×SD₁₆	C₂×D₁₃	semidirect
1012. C₄×D₈	C₂×D₁₃	semidirect
1013. C₄×D₈	C₂×D₁₃	semidirect
1022. #431	C₂×D₁₃	semidirect
1602. C₁₃	#61437	semidirect
1667. D₄	#41×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
#13128398	2
#13128322	2
#13127851	2
#13127730	2
#13127557	2
#13127538	2
#13127429	2
#13127273	2
#13127269	2
#13127134	2
#13127076	2
#13126864	2
#13126860	2
#13126794	2
#13126790	2
#13126429	2
#13126319	2
#13126311	2
#13125427	2
#13125425	2
#13125392	2
#13124892	2
#13124887	2
#13124885	2
#13124842	2
#13124834	2
#13123800	2
C₄×#88203	2
C₄×#88165	2
C₄×D₈×D₁₃	2
C₁₃×#3106	2
#61437	13