Subgroups — #16729863

Order 3328.

2714 conjugacy classes of subgroups.

The subgroup lattice has 1968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719473	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128163	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128035	C₂	1	1	yes	maximal, characteristic, complemented
5	#13124389	C₂	1	1	yes	maximal, characteristic, complemented
6	#13124387	C₂	1	1	yes	maximal, characteristic, complemented
7	#13124383	C₂	1	1	yes	maximal, characteristic, complemented
8	#13124381	C₂	1	1	yes	maximal, characteristic, complemented
9	#13124378	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124376	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124372	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124370	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124364	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124361	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124355	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124352	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124346	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124343	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124337	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124293	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124291	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124289	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124289	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124285	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718500	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
38	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
39	#11719537	C₂²	1	1	yes	characteristic, complemented
40	#11719537	C₂²	1	1	yes	characteristic, complemented
41	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
46	#11719473	—	2	8	no	—
47	D₁₃×#135	—	2	8	no	—
48	C₂×#88173	C₂²	1	1	yes	characteristic
49	C₂×#88172	C₂²	1	1	yes	characteristic
50	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
51	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88170	C₂²	1	1	yes	characteristic
53	C₂×#88170	C₂²	1	1	yes	characteristic
54	C₂×#88169	C₂²	1	1	yes	characteristic
55	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88168	C₂²	1	1	yes	characteristic
57	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
58	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88166	C₂²	1	1	yes	characteristic
61	C₂×#88165	C₂²	1	1	yes	characteristic
62	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
63	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
66	C₂²×#6094	C₂²	1	1	yes	characteristic
67	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
68	#11719429	C₂²	1	1	yes	characteristic
69	#11719429	C₂²	1	1	yes	characteristic, complemented
70	#11719420	C₂²	1	1	yes	characteristic
71	#11719420	C₂²	1	1	yes	characteristic, complemented
72	#11719380	C₂²	1	1	yes	characteristic
73	#11719380	C₂²	1	1	yes	characteristic, complemented
74	#11719379	C₂²	1	1	yes	characteristic
75	#11719379	C₂²	1	1	yes	characteristic, complemented
76	#11719310	—	2	1	no	—
77	#11719310	—	2	1	no	—
78	#11719302	—	2	1	no	—
79	#11719302	—	2	1	no	—
80	#11719279	C₂²	1	1	yes	characteristic, complemented
81	#11719279	C₂²	1	1	yes	characteristic, complemented
82	#11719277	C₂²	1	1	yes	characteristic, complemented
83	#11719277	C₂²	1	1	yes	characteristic, complemented
84	#11719252	—	2	1	no	—
85	#11719252	—	2	1	no	—
86	#11719252	—	2	1	no	—
87	#11719252	—	2	1	no	—
88	#11719251	—	2	1	no	—
89	#11719251	—	2	1	no	—
90	#11719251	C₂²	1	1	yes	characteristic, complemented
91	#11719251	C₂²	1	1	yes	characteristic, complemented
92	#11719250	—	2	1	no	—
93	#11719250	—	2	1	no	—
94	#11719250	C₂²	1	1	yes	characteristic, complemented
95	#11719250	C₂²	1	1	yes	characteristic, complemented
96	#11719227	—	2	1	no	—
97	#11719227	C₂²	1	1	yes	characteristic, complemented
98	D₁₃×#117	—	2	1	no	—
99	D₁₃×#117	C₂²	1	1	yes	characteristic
100	#11719182	C₂²	1	1	yes	characteristic, complemented
101	C₄×#6127	—	2	1	no	—
102	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
103	C₂×#88126	—	2	1	no	—
104	C₂×#88126	C₂²	1	1	yes	characteristic
105	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
116	#11718894	C₂²	1	1	yes	characteristic, complemented
117	#11718894	C₂²	1	1	yes	characteristic, complemented
118	#11718846	C₂²	1	1	yes	characteristic, complemented
119	#11718846	C₂²	1	1	yes	characteristic, complemented
120	#11718843	C₂²	1	1	yes	characteristic, complemented
121	#11718843	C₂²	1	1	yes	characteristic, complemented
122	#11718827	C₂²	1	1	yes	characteristic, complemented
123	#11718827	C₂²	1	1	yes	characteristic, complemented
124	#11718826	C₂²	1	1	yes	characteristic, complemented
125	#11718826	C₂²	1	1	yes	characteristic, complemented
126	#11718824	C₂²	1	1	yes	characteristic, complemented
127	#11718824	C₂²	1	1	yes	characteristic, complemented
128	#11718823	C₂²	1	1	yes	characteristic, complemented
129	#11718823	C₂²	1	1	yes	characteristic, complemented
130	#11718814	C₂²	1	1	yes	characteristic, complemented
131	#11718814	C₂²	1	1	yes	characteristic, complemented
132	#11718811	C₂²	1	1	yes	characteristic, complemented
133	#11718811	C₂²	1	1	yes	characteristic, complemented
134	#11718774	C₂²	1	1	yes	characteristic, complemented
135	#11718774	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
138	#11718751	C₂²	1	1	yes	characteristic, complemented
139	#11718744	C₂²	1	1	yes	characteristic, complemented
140	#11718736	C₂²	1	1	yes	characteristic, complemented
141	#11718733	C₂²	1	1	yes	characteristic, complemented
142	#11718718	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718715	C₂²	1	1	yes	characteristic, complemented
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718692	C₂²	1	1	yes	characteristic, complemented
147	#11718689	C₂²	1	1	yes	characteristic, complemented
148	#11718689	C₂²	1	1	yes	characteristic, complemented
149	#11718688	C₂²	1	1	yes	characteristic, complemented
150	#11718680	C₂²	1	1	yes	characteristic, complemented
151	#11718677	C₂²	1	1	yes	characteristic, complemented
152	#11718677	C₂²	1	1	yes	characteristic, complemented
153	#11718676	C₂²	1	1	yes	characteristic, complemented
154	#11718663	C₂²	1	1	yes	characteristic, complemented
155	#11718663	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
157	#11718510	C₂²	1	1	yes	characteristic, complemented
158	#11718509	C₂²	1	1	yes	characteristic, complemented
159	#11718506	C₂²	1	1	yes	characteristic, complemented
160	#11718506	C₂²	1	1	yes	characteristic, complemented
161	#11718505	C₂²	1	1	yes	characteristic, complemented
162	#11718505	C₂²	1	1	yes	characteristic, complemented
163	#11718504	C₂²	1	1	yes	characteristic, complemented
164	#11718502	C₂²	1	1	yes	characteristic, complemented
165	#11718500	C₂²	1	1	yes	characteristic, complemented
166	#11718500	C₂²	1	1	yes	characteristic, complemented
167	#11718500	C₂²	1	1	yes	characteristic, complemented
168	#11718500	C₂²	1	1	yes	characteristic, complemented
169	#11718500	C₂²	1	1	yes	characteristic, complemented
170	#11718500	C₂²	1	1	yes	characteristic, complemented
171	#11718500	C₂²	1	1	yes	characteristic, complemented
172	#11718500	C₂²	1	1	yes	characteristic, complemented
173	#11718480	C₂²	1	1	yes	characteristic, complemented
174	#11718480	C₂²	1	1	yes	characteristic, complemented
175	#11718479	C₂²	1	1	yes	characteristic, complemented
176	#11718479	C₂²	1	1	yes	characteristic, complemented
177	#11718465	C₂²	1	1	yes	characteristic
178	#11718465	C₂²	1	1	yes	characteristic
179	#11718464	C₂²	1	1	yes	characteristic, complemented
180	#11718464	C₂²	1	1	yes	characteristic, complemented
181	#11718463	C₂²	1	1	yes	characteristic, complemented
182	#11718463	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
185	#11718459	C₂²	1	1	yes	characteristic, complemented
186	#11718459	C₂²	1	1	yes	characteristic, complemented
187	#11718454	C₂²	1	1	yes	characteristic, complemented
188	#11718454	C₂²	1	1	yes	characteristic, complemented
189	#11718448	C₂²	1	1	yes	characteristic, complemented
190	#11718448	C₂²	1	1	yes	characteristic, complemented
191	#11718447	C₂²	1	1	yes	characteristic, complemented
192	#11718447	C₂²	1	1	yes	characteristic, complemented
193	#11718433	C₂²	1	1	yes	characteristic
194	#11718433	C₂²	1	1	yes	characteristic
195	#11718432	C₂²	1	1	yes	characteristic, complemented
196	#11718432	C₂²	1	1	yes	characteristic, complemented
197	#11718431	C₂²	1	1	yes	characteristic, complemented
198	#11718431	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
201	#11718428	C₂²	1	1	yes	characteristic, complemented
202	#11718428	C₂²	1	1	yes	characteristic, complemented
203	#11718423	C₂²	1	1	yes	characteristic, complemented
204	#11718423	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	#41×D₁₃	—	2	4	no	—
209	#41×D₁₃	—	2	4	no	—
210	#41×D₁₃	—	2	4	no	—
211	#41×D₁₃	—	2	4	no	—
212	#41×D₁₃	—	2	4	no	—
213	#41×D₁₃	D₄	1	8	yes	complemented
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	C₂×#6131	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×#6129	—	2	1	no	—
221	C₂×#6129	—	2	1	no	—
222	C₂×#6129	—	2	1	no	—
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×#6129	C₂³	1	1	yes	characteristic
225	C₂×#6129	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	—	2	1	no	—
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	—	2	1	no	—
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×#6127	—	2	1	no	—
233	C₂×#6127	—	2	1	no	—
234	C₂×#6127	—	2	1	no	—
235	C₂×#6127	C₂³	1	1	yes	characteristic
236	C₂×#6127	C₂³	1	1	yes	characteristic
237	C₂×#6127	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₁₃	—	2	1	no	—
239	C₂²×C₄×D₁₃	—	2	1	no	—
240	C₂²×C₄×D₁₃	—	2	1	no	—
241	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
242	C₁₃×#135	—	2	4	no	—
243	C₁₃×#135	—	2	4	no	—
244	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×#127	C₂³	1	1	yes	characteristic
256	C₁₃×#124	C₂³	1	1	yes	characteristic
257	C₁₃×#124	C₂³	1	1	yes	characteristic
258	C₁₃×#121	—	2	1	no	—
259	C₁₃×#121	—	2	1	no	—
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₁₃×#117	—	2	1	no	—
269	C₁₃×#117	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₁₃	—	2	1	no	—
271	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
272	#88204	—	2	4	no	—
273	#88204	—	2	4	no	—
274	#88204	—	2	4	no	—
275	#88204	—	2	4	no	—
276	#88201	C₂³	1	1	yes	characteristic
277	#88201	C₂³	1	1	yes	characteristic
278	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
279	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
280	#88198	C₂³	1	1	yes	characteristic
281	#88198	C₂³	1	1	yes	characteristic
282	C₂×#6107	C₂³	1	1	yes	characteristic
283	C₂×#6107	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	C₂×#6107	C₂³	1	1	yes	characteristic
286	C₂×#6106	C₂³	1	1	yes	characteristic
287	C₂×#6106	C₂³	1	1	yes	characteristic
288	C₂×#6106	C₂³	1	1	yes	characteristic
289	C₂×#6106	C₂³	1	1	yes	characteristic
290	#88194	C₂³	1	1	yes	characteristic
291	#88194	C₂³	1	1	yes	characteristic
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88193	—	2	1	no	—
298	#88193	—	2	1	no	—
299	#88193	—	2	1	no	—
300	#88191	—	2	1	no	—
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88190	C₂³	1	1	yes	characteristic
305	#88190	C₂³	1	1	yes	characteristic
306	D₄×Dic₁₃	—	2	1	no	—
307	D₄×Dic₁₃	—	2	1	no	—
308	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	C₂×#6105	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	C₂×#6105	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	C₂×#6104	C₂³	1	1	yes	characteristic
317	C₂×#6104	C₂³	1	1	yes	characteristic
318	#88184	—	2	1	no	—
319	#88184	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	—	2	1	no	—
325	C₄×C₂²⋊D₁₃	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₂×#6103	—	2	1	no	—
331	C₂×#6103	—	2	1	no	—
332	C₂×#6103	D₄	1	1	yes	characteristic
333	C₂×#6103	D₄	1	1	yes	characteristic
334	#88180	—	2	1	no	—
335	#88180	C₂³	1	1	yes	characteristic
336	C₂×#6101	—	2	1	no	—
337	C₂×#6101	—	2	1	no	—
338	C₂×#6101	D₄	1	1	yes	characteristic
339	C₂×#6101	D₄	1	1	yes	characteristic
340	C₂×C₄×Dic₁₃	—	2	1	no	—
341	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
342	C₂²×#1055	C₂³	1	1	yes	characteristic
343	C₂²×#1055	C₂³	1	1	yes	characteristic
344	#88173	—	2	4	no	—
345	#88172	—	2	4	no	—
346	#88172	—	2	4	no	—
347	Q₁₆×D₁₃	—	2	4	no	—
348	#88170	—	2	4	no	—
349	#88170	—	2	4	no	—
350	#88169	—	2	4	no	—
351	#88169	—	2	4	no	—
352	#88168	—	2	4	no	—
353	#88168	—	2	4	no	—
354	SD₁₆×D₁₃	—	2	4	no	—
355	SD₁₆×D₁₃	—	2	4	no	—
356	#88166	—	2	4	no	—
357	#88165	—	2	4	no	—
358	#88165	—	2	4	no	—
359	D₈×D₁₃	—	2	4	no	—
360	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
361	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
362	#88158	—	2	4	no	—
363	#88158	—	2	4	no	—
364	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
365	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
366	C₂×#6095	C₂³	1	1	yes	characteristic
367	C₂×#6095	C₂³	1	1	yes	characteristic
368	C₂×#6095	C₂³	1	1	yes	characteristic
369	C₂×#6095	C₂³	1	1	yes	characteristic
370	C₂×#6094	—	2	4	no	—
371	C₂×#6094	C₂³	1	1	yes	characteristic
372	C₂×#6094	C₂³	1	1	yes	characteristic
373	C₂×#6094	C₂³	1	1	yes	characteristic
374	C₂×#6094	C₂³	1	1	yes	characteristic
375	C₂×C₈×D₁₃	—	2	4	no	—
376	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
377	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
378	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
379	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
380	#88150	—	2	1	no	—
381	#88150	—	2	1	no	—
382	#88150	—	2	1	no	—
383	#88150	—	2	1	no	—
384	#88148	—	2	1	no	—
385	#88148	—	2	1	no	—
386	#88148	—	2	1	no	—
387	#88148	—	2	1	no	—
388	#88147	—	2	1	no	—
389	#88147	—	2	1	no	—
390	#88147	C₂³	1	1	yes	characteristic
391	#88147	C₂³	1	1	yes	characteristic
392	#88146	—	2	1	no	—
393	#88146	—	2	1	no	—
394	#88146	C₂³	1	1	yes	characteristic
395	#88146	C₂³	1	1	yes	characteristic
396	C₄⋊C₄×D₁₃	—	2	1	no	—
397	C₄⋊C₄×D₁₃	—	2	1	no	—
398	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
399	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
400	#88141	—	2	1	no	—
401	#88141	—	2	1	no	—
402	#88141	C₂³	1	1	yes	characteristic
403	#88141	C₂³	1	1	yes	characteristic
404	#88138	—	2	1	no	—
405	#88138	—	2	1	no	—
406	#88138	—	2	1	no	—
407	#88138	—	2	1	no	—
408	#88137	—	2	1	no	—
409	#88137	—	2	1	no	—
410	#88137	—	2	1	no	—
411	#88137	—	2	1	no	—
412	#88136	—	2	1	no	—
413	#88136	—	2	1	no	—
414	#88136	—	2	1	no	—
415	#88136	—	2	1	no	—
416	#88135	—	2	1	no	—
417	#88135	—	2	1	no	—
418	#88135	—	2	1	no	—
419	#88135	—	2	1	no	—
420	#88135	—	2	1	no	—
421	#88135	—	2	1	no	—
422	C₂²⋊C₄×D₁₃	—	2	1	no	—
423	C₂²⋊C₄×D₁₃	—	2	1	no	—
424	C₂²⋊C₄×D₁₃	—	2	1	no	—
425	#88132	—	2	1	no	—
426	#88132	—	2	1	no	—
427	#88132	—	2	1	no	—
428	#88132	—	2	1	no	—
429	#88131	—	2	1	no	—
430	#88131	—	2	1	no	—
431	#88131	—	2	1	no	—
432	#88129	C₂³	1	1	yes	characteristic
433	#88129	C₂³	1	1	yes	characteristic
434	#88128	C₂³	1	1	yes	characteristic
435	C₄×D₅₂	—	2	1	no	—
436	C₄×D₅₂	—	2	1	no	—
437	C₄×D₅₂	—	2	1	no	—
438	C₄×D₅₂	—	2	1	no	—
439	C₄×D₅₂	C₂³	1	1	yes	characteristic
440	C₄×D₅₂	C₂³	1	1	yes	characteristic
441	#88126	—	2	1	no	—
442	#88126	—	2	1	no	—
443	#88126	—	2	1	no	—
444	#88126	—	2	1	no	—
445	#88126	—	2	1	no	—
446	#88126	—	2	1	no	—
447	#88126	—	2	1	no	—
448	#88126	D₄	1	1	yes	characteristic
449	#88126	D₄	1	1	yes	characteristic
450	#88126	D₄	1	1	yes	characteristic
451	#88126	D₄	1	1	yes	characteristic
452	#88126	C₂³	1	1	yes	characteristic
453	#88126	C₂³	1	1	yes	characteristic
454	#88126	C₂³	1	1	yes	characteristic
455	#88126	C₂³	1	1	yes	characteristic
456	C₄²×D₁₃	—	2	1	no	—
457	C₄²×D₁₃	—	2	1	no	—
458	C₄²×D₁₃	—	2	1	no	—
459	#88123	C₂³	1	1	yes	characteristic
460	C₄×Dic₂₆	—	2	1	no	—
461	C₄×Dic₂₆	—	2	1	no	—
462	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
463	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
464	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×#103	C₂³	1	1	yes	characteristic
469	C₁₃×#103	C₂³	1	1	yes	characteristic
470	C₁₃×#103	C₂³	1	1	yes	characteristic
471	C₁₃×#103	C₂³	1	1	yes	characteristic
472	C₁₃×#102	C₂³	1	1	yes	characteristic
473	C₁₃×#102	C₂³	1	1	yes	characteristic
474	C₁₃×#102	C₂³	1	1	yes	characteristic
475	C₁₃×#102	C₂³	1	1	yes	characteristic
476	#88075	C₂³	1	1	yes	characteristic
477	#88075	C₂³	1	1	yes	characteristic
478	#88075	C₂³	1	1	yes	characteristic
479	#88075	C₂³	1	1	yes	characteristic
480	#88072	C₂³	1	1	yes	characteristic
481	#88072	C₂³	1	1	yes	characteristic
482	#88072	C₂³	1	1	yes	characteristic
483	#88072	C₂³	1	1	yes	characteristic
484	#88061	C₂³	1	1	yes	characteristic
485	#88061	C₂³	1	1	yes	characteristic
486	#88061	C₂³	1	1	yes	characteristic
487	#88061	C₂³	1	1	yes	characteristic
488	#88056	C₂³	1	1	yes	characteristic
489	#88056	C₂³	1	1	yes	characteristic
490	#88056	C₂³	1	1	yes	characteristic
491	#88056	C₂³	1	1	yes	characteristic
492	#88054	C₂³	1	1	yes	characteristic
493	#88054	C₂³	1	1	yes	characteristic
494	#88054	C₂³	1	1	yes	characteristic
495	#88054	C₂³	1	1	yes	characteristic
496	#88054	C₂³	1	1	yes	characteristic
497	#88054	C₂³	1	1	yes	characteristic
498	#88054	C₂³	1	1	yes	characteristic
499	#88054	C₂³	1	1	yes	characteristic
500	#88050	C₂³	1	1	yes	characteristic
501	#88050	C₂³	1	1	yes	characteristic
502	#88050	C₂³	1	1	yes	characteristic
503	#88050	C₂³	1	1	yes	characteristic
504	#88049	C₂³	1	1	yes	characteristic
505	#88049	C₂³	1	1	yes	characteristic
506	#88049	C₂³	1	1	yes	characteristic
507	#88049	C₂³	1	1	yes	characteristic
508	C₄⋊#1055	C₂³	1	1	yes	characteristic
509	C₄⋊#1055	C₂³	1	1	yes	characteristic
510	C₄⋊#1055	C₂³	1	1	yes	characteristic
511	C₄⋊#1055	C₂³	1	1	yes	characteristic
512	#60422	—	13	1	no	maximal, Sylow
513	C₂³×D₁₃	—	2	1	no	—
514	C₂³×D₁₃	—	2	1	no	—
515	C₂³×D₁₃	—	2	1	no	—
516	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₁₃×#41	—	2	2	no	—
518	C₁₃×#41	—	2	2	no	—
519	C₁₃×#41	—	2	2	no	—
520	C₁₃×#41	—	2	2	no	—
521	C₁₃×#41	—	2	2	no	—
522	C₁₃×#41	C₂×D₄	1	4	yes	—
523	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×D₄×C₁₃	—	2	1	no	—
527	C₂×D₄×C₁₃	—	2	1	no	—
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	1	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	—	2	1	no	—
557	C₂²×Dic₁₃	—	2	1	no	—
558	C₂²×Dic₁₃	—	2	1	no	—
559	C₂²×Dic₁₃	—	2	1	no	—
560	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
561	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
563	#6131	—	2	2	no	—
564	#6131	—	2	2	no	—
565	#6131	—	2	2	no	—
566	#6131	—	2	2	no	—
567	#6131	—	2	2	no	—
568	#6131	C₂×D₄	1	4	yes	—
569	Q₈×D₁₃	—	2	2	no	—
570	Q₈×D₁₃	—	2	2	no	—
571	Q₈×D₁₃	—	2	2	no	—
572	Q₈×D₁₃	—	2	2	no	—
573	Q₈×D₁₃	—	2	2	no	—
574	Q₈×D₁₃	C₂×D₄	1	4	yes	—
575	#6129	—	2	8	no	—
576	#6129	—	2	2	no	—
577	#6129	—	2	2	no	—
578	#6129	—	2	2	no	—
579	#6129	—	2	2	no	—
580	#6129	—	2	2	no	—
581	#6129	—	4	4	no	—
582	#6129	—	4	4	no	—
583	#6129	C₂×D₄	1	4	yes	—
584	D₄×D₁₃	—	2	8	no	—
585	D₄×D₁₃	—	2	2	no	—
586	D₄×D₁₃	—	2	2	no	—
587	D₄×D₁₃	—	2	2	no	—
588	D₄×D₁₃	—	2	2	no	—
589	D₄×D₁₃	—	2	2	no	—
590	D₄×D₁₃	—	4	4	no	—
591	D₄×D₁₃	—	4	4	no	—
592	D₄×D₁₃	C₂×D₄	1	4	yes	—
593	#6127	—	2	2	no	—
594	#6127	—	2	8	no	—
595	#6127	—	2	2	no	—
596	#6127	—	2	2	no	—
597	#6127	—	2	2	no	—
598	#6127	—	2	2	no	—
599	#6127	—	4	4	no	—
600	#6127	—	4	4	no	—
601	#6127	C₂×D₄	1	4	yes	—
602	C₂×D₅₂	—	2	1	no	—
603	C₂×D₅₂	—	2	1	no	—
604	C₂×D₅₂	—	2	1	no	—
605	C₂×D₅₂	—	2	1	no	—
606	C₂×D₅₂	—	2	1	no	—
607	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
608	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
609	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₃	—	2	1	no	—
611	C₂×C₄×D₁₃	—	2	1	no	—
612	C₂×C₄×D₁₃	—	2	1	no	—
613	C₂×C₄×D₁₃	—	2	8	no	—
614	C₂×C₄×D₁₃	—	2	1	no	—
615	C₂×C₄×D₁₃	—	2	1	no	—
616	C₂×C₄×D₁₃	—	2	1	no	—
617	C₂×C₄×D₁₃	—	2	1	no	—
618	C₂×C₄×D₁₃	—	2	1	no	—
619	C₂×C₄×D₁₃	—	2	1	no	—
620	C₂×C₄×D₁₃	—	2	1	no	—
621	C₂×C₄×D₁₃	—	2	1	no	—
622	C₂×C₄×D₁₃	—	2	1	no	—
623	C₂×C₄×D₁₃	—	2	1	no	—
624	C₂×C₄×D₁₃	—	2	1	no	—
625	C₂×C₄×D₁₃	—	2	1	no	—
626	C₂×C₄×D₁₃	—	4	4	no	—
627	C₂×C₄×D₁₃	—	4	4	no	—
628	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
631	C₂×C₄×D₁₃	#41	1	4	yes	—
632	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×Dic₂₆	—	2	1	no	—
635	C₂×Dic₂₆	—	2	1	no	—
636	C₂×Dic₂₆	—	2	1	no	—
637	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
640	C₁₃×Q₁₆	—	2	2	no	—
641	C₁₃×Q₁₆	—	2	2	no	—
642	C₁₃×SD₁₆	—	2	2	no	—
643	C₁₃×SD₁₆	—	2	2	no	—
644	C₁₃×SD₁₆	—	2	2	no	—
645	C₁₃×SD₁₆	—	2	2	no	—
646	C₁₃×D₈	—	2	2	no	—
647	C₁₃×D₈	—	2	2	no	—
648	C₂×C₈×C₁₃	—	2	2	no	—
649	C₂×C₈×C₁₃	—	2	2	no	—
650	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
653	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	—	2	1	no	—
657	C₁₃×C₄⋊C₄	—	2	1	no	—
658	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₁₃×C₂²⋊C₄	—	2	1	no	—
661	C₁₃×C₂²⋊C₄	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₄²×C₁₃	—	2	1	no	—
668	C₄²×C₁₃	—	2	1	no	—
669	C₄²×C₁₃	—	2	1	no	—
670	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
673	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
674	C₂²⋊Dic₁₃	—	2	1	no	—
675	C₂²⋊Dic₁₃	—	2	1	no	—
676	C₂²⋊Dic₁₃	—	2	1	no	—
677	C₂²⋊Dic₁₃	—	2	1	no	—
678	C₂²⋊Dic₁₃	—	2	1	no	—
679	C₂²⋊Dic₁₃	—	2	1	no	—
680	C₂²⋊Dic₁₃	—	2	1	no	—
681	#6107	—	2	2	no	—
682	#6107	—	2	2	no	—
683	#6107	—	2	2	no	—
684	#6107	—	2	2	no	—
685	#6106	—	2	2	no	—
686	#6106	—	2	2	no	—
687	#6106	—	2	2	no	—
688	#6106	—	2	2	no	—
689	#6105	—	2	2	no	—
690	#6105	—	2	2	no	—
691	#6105	—	2	2	no	—
692	#6105	—	2	2	no	—
693	#6104	—	2	2	no	—
694	#6104	—	2	2	no	—
695	#6104	—	2	2	no	—
696	#6104	—	2	2	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	—	2	1	no	—
706	#6103	—	2	1	no	—
707	#6103	—	2	1	no	—
708	#6103	—	2	1	no	—
709	#6103	—	2	1	no	—
710	#6103	—	2	1	no	—
711	#6103	C₂×D₄	1	1	yes	characteristic
712	#6103	C₂×D₄	1	1	yes	characteristic
713	#6103	C₂×D₄	1	1	yes	characteristic
714	#6103	C₂×D₄	1	1	yes	characteristic
715	#6103	C₂×D₄	1	1	yes	characteristic
716	#6103	C₂×D₄	1	1	yes	characteristic
717	#6103	C₂×D₄	1	1	yes	characteristic
718	#6103	C₂×D₄	1	1	yes	characteristic
719	C₄⋊Dic₁₃	—	2	1	no	—
720	C₄⋊Dic₁₃	—	2	1	no	—
721	C₄⋊Dic₁₃	—	2	1	no	—
722	C₄⋊Dic₁₃	—	2	1	no	—
723	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
724	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
725	#6101	—	2	1	no	—
726	#6101	—	2	1	no	—
727	#6101	—	2	1	no	—
728	#6101	—	2	1	no	—
729	#6101	—	2	1	no	—
730	#6101	—	2	1	no	—
731	#6101	—	2	1	no	—
732	#6101	—	2	1	no	—
733	#6101	—	2	1	no	—
734	#6101	—	2	1	no	—
735	#6101	C₂×D₄	1	1	yes	characteristic
736	#6101	C₂×D₄	1	1	yes	characteristic
737	#6101	C₂×D₄	1	1	yes	characteristic
738	#6101	C₂×D₄	1	1	yes	characteristic
739	#6101	C₂×D₄	1	1	yes	characteristic
740	#6101	C₂×D₄	1	1	yes	characteristic
741	#6101	C₂×D₄	1	1	yes	characteristic
742	#6101	C₂×D₄	1	1	yes	characteristic
743	C₄×Dic₁₃	—	2	1	no	—
744	C₄×Dic₁₃	—	2	1	no	—
745	C₄×Dic₁₃	—	2	1	no	—
746	C₄×Dic₁₃	—	2	1	no	—
747	C₄×Dic₁₃	—	2	1	no	—
748	C₄×Dic₁₃	—	2	1	no	—
749	C₄×Dic₁₃	—	2	1	no	—
750	C₄×Dic₁₃	—	2	1	no	—
751	C₄×Dic₁₃	—	2	1	no	—
752	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
753	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
754	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
755	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
756	C₂×#1055	—	2	2	no	—
757	C₂×#1055	—	2	2	no	—
758	C₂×#1055	C₂⁴	1	1	yes	characteristic
759	C₂×#1055	C₂⁴	1	1	yes	characteristic
760	C₂×#1055	C₂⁴	1	1	yes	characteristic
761	C₂×#1055	C₂⁴	1	1	yes	characteristic
762	Dic₅₂	—	2	2	no	—
763	Dic₅₂	—	2	2	no	—
764	D₁₀₄	—	2	2	no	—
765	D₁₀₄	—	2	2	no	—
766	#6095	—	2	2	no	—
767	#6095	—	2	2	no	—
768	#6095	—	2	2	no	—
769	#6095	—	2	2	no	—
770	#6094	—	2	2	no	—
771	#6094	—	2	2	no	—
772	#6094	—	2	2	no	—
773	#6094	—	2	2	no	—
774	C₈×D₁₃	—	2	2	no	—
775	C₈×D₁₃	—	2	2	no	—
776	C₈×D₁₃	—	2	2	no	—
777	C₈×D₁₃	—	2	2	no	—
778	C₂×#575	—	13	1	no	—
779	C₂²×#135	—	13	1	no	—
780	#3449	—	13	1	no	—
781	#3428	—	13	1	no	—
782	#3046	—	13	1	no	—
783	#3046	—	13	1	no	—
784	#3046	—	13	1	no	—
785	#3046	—	13	1	no	—
786	#3045	—	13	1	no	—
787	#3045	—	13	1	no	—
788	#3045	—	13	1	no	—
789	#3045	—	13	1	no	—
790	#3044	—	13	1	no	—
791	#3044	—	13	1	no	—
792	#3043	—	13	1	no	—
793	#3043	—	13	1	no	—
794	#3042	—	13	1	no	—
795	#3042	—	13	1	no	—
796	#3041	—	13	1	no	—
797	#3041	—	13	1	no	—
798	#3035	—	13	1	no	—
799	#3035	—	13	1	no	—
800	#3035	—	13	1	no	—
801	#3035	—	13	1	no	—
802	#3035	—	13	1	no	—
803	#3035	—	13	1	no	—
804	#3035	—	13	1	no	—
805	#3035	D₁₃	1	1	yes	characteristic, complemented
806	C₂×#424	—	13	1	no	—
807	#2896	—	13	1	no	—
808	C₂×#416	—	13	1	no	—
809	C₂³×C₁₃	—	2	1	no	—
810	C₂³×C₁₃	—	2	1	no	—
811	C₂³×C₁₃	—	2	1	no	—
812	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂²×D₁₃	—	2	1	no	—
814	C₂²×D₁₃	—	2	4	no	—
815	C₂²×D₁₃	—	2	1	no	—
816	C₂²×D₁₃	—	2	1	no	—
817	C₂²×D₁₃	—	4	1	no	—
818	C₂²×D₁₃	—	4	1	no	—
819	C₂²×D₁₃	—	4	2	no	—
820	C₂²×D₁₃	—	4	2	no	—
821	C₂²×D₁₃	—	8	1	no	—
822	C₂²×D₁₃	—	8	1	no	—
823	C₂²×D₁₃	—	8	1	no	—
824	C₂²×D₁₃	—	8	1	no	—
825	C₂²×D₁₃	—	8	1	no	—
826	C₂²×D₁₃	—	8	1	no	—
827	C₂²×D₁₃	#121	1	4	yes	—
828	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
830	Q₈×C₁₃	—	2	1	no	—
831	Q₈×C₁₃	—	2	1	no	—
832	Q₈×C₁₃	—	2	1	no	—
833	Q₈×C₁₃	—	2	1	no	—
834	Q₈×C₁₃	—	2	1	no	—
835	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
836	D₄×C₁₃	—	2	4	no	—
837	D₄×C₁₃	—	2	1	no	—
838	D₄×C₁₃	—	2	1	no	—
839	D₄×C₁₃	—	2	1	no	—
840	D₄×C₁₃	—	2	1	no	—
841	D₄×C₁₃	—	2	1	no	—
842	D₄×C₁₃	—	4	2	no	—
843	D₄×C₁₃	—	4	2	no	—
844	D₄×C₁₃	—	8	1	no	—
845	D₄×C₁₃	—	8	1	no	—
846	D₄×C₁₃	C₂²×D₄	1	2	yes	—
847	C₂×C₄×C₁₃	—	2	1	no	—
848	C₂×C₄×C₁₃	—	2	4	no	—
849	C₂×C₄×C₁₃	—	2	1	no	—
850	C₂×C₄×C₁₃	—	2	1	no	—
851	C₂×C₄×C₁₃	—	2	1	no	—
852	C₂×C₄×C₁₃	—	2	1	no	—
853	C₂×C₄×C₁₃	—	4	1	no	—
854	C₂×C₄×C₁₃	—	4	1	no	—
855	C₂×C₄×C₁₃	—	4	2	no	—
856	C₂×C₄×C₁₃	—	4	2	no	—
857	C₂×C₄×C₁₃	—	8	1	no	—
858	C₂×C₄×C₁₃	—	8	1	no	—
859	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
865	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
866	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
867	C₂²⋊D₁₃	—	2	4	no	—
868	C₂²⋊D₁₃	—	2	4	no	—
869	C₂²⋊D₁₃	—	2	4	no	—
870	C₂²⋊D₁₃	—	4	2	no	—
871	C₂²⋊D₁₃	—	4	2	no	—
872	C₂²⋊D₁₃	—	4	2	no	—
873	C₂²⋊D₁₃	—	4	2	no	—
874	C₂²⋊D₁₃	—	4	2	no	—
875	C₂²⋊D₁₃	—	4	2	no	—
876	C₂²⋊D₁₃	—	8	1	no	—
877	C₂²⋊D₁₃	—	8	1	no	—
878	C₂²⋊D₁₃	—	8	1	no	—
879	C₂²⋊D₁₃	—	8	1	no	—
880	C₂×Dic₁₃	—	2	1	no	—
881	C₂×Dic₁₃	—	2	4	no	—
882	C₂×Dic₁₃	—	2	1	no	—
883	C₂×Dic₁₃	—	2	1	no	—
884	C₂×Dic₁₃	—	2	1	no	—
885	C₂×Dic₁₃	—	2	1	no	—
886	C₂×Dic₁₃	—	4	1	no	—
887	C₂×Dic₁₃	—	4	1	no	—
888	C₂×Dic₁₃	—	4	2	no	—
889	C₂×Dic₁₃	—	4	2	no	—
890	C₂×Dic₁₃	—	8	1	no	—
891	C₂×Dic₁₃	—	8	1	no	—
892	C₂×Dic₁₃	#121	1	4	yes	—
893	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
894	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
895	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
896	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
897	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
898	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
899	D₅₂	—	2	4	no	—
900	D₅₂	—	2	1	no	—
901	D₅₂	—	2	1	no	—
902	D₅₂	—	2	1	no	—
903	D₅₂	—	2	1	no	—
904	D₅₂	—	2	1	no	—
905	D₅₂	—	4	2	no	—
906	D₅₂	—	4	2	no	—
907	D₅₂	—	8	1	no	—
908	D₅₂	—	8	1	no	—
909	D₅₂	C₂²×D₄	1	2	yes	—
910	C₄×D₁₃	—	2	4	no	—
911	C₄×D₁₃	—	2	4	no	—
912	C₄×D₁₃	—	2	4	no	—
913	C₄×D₁₃	—	4	2	no	—
914	C₄×D₁₃	—	4	2	no	—
915	C₄×D₁₃	—	4	2	no	—
916	C₄×D₁₃	—	4	2	no	—
917	C₄×D₁₃	—	4	2	no	—
918	C₄×D₁₃	—	4	2	no	—
919	C₄×D₁₃	—	8	1	no	—
920	C₄×D₁₃	—	8	1	no	—
921	C₄×D₁₃	—	8	1	no	—
922	C₄×D₁₃	—	8	1	no	—
923	C₄×D₁₃	—	8	1	no	—
924	C₄×D₁₃	—	8	1	no	—
925	C₄×D₁₃	#121	1	4	yes	—
926	C₄×D₁₃	#121	1	4	yes	—
927	C₄×D₁₃	C₂²×D₄	1	2	yes	—
928	C₄×D₁₃	C₂²×D₄	1	2	yes	—
929	C₄×D₁₃	C₂×#41	1	2	yes	—
930	C₄×D₁₃	C₂×#41	1	2	yes	—
931	Dic₂₆	—	2	1	no	—
932	Dic₂₆	—	2	4	no	—
933	Dic₂₆	—	2	1	no	—
934	Dic₂₆	—	2	1	no	—
935	Dic₂₆	—	2	1	no	—
936	Dic₂₆	—	2	1	no	—
937	Dic₂₆	—	4	2	no	—
938	Dic₂₆	—	4	2	no	—
939	Dic₂₆	C₂²×D₄	1	2	yes	—
940	C₈×C₁₃	—	2	1	no	—
941	C₈×C₁₃	—	2	1	no	—
942	C₈×C₁₃	—	2	1	no	—
943	C₈×C₁₃	—	2	1	no	—
944	#1055	—	2	1	no	—
945	#1055	—	2	1	no	—
946	#1055	—	2	1	no	—
947	#1055	—	2	1	no	—
948	C₂²×#41	—	13	1	no	—
949	C₂²×#41	—	13	1	no	—
950	C₂²×#41	—	13	1	no	—
951	#575	—	26	8	no	—
952	C₂×#137	—	13	1	no	—
953	C₂×#137	—	13	1	no	—
954	C₂×#137	—	13	1	no	—
955	C₂×#137	—	13	1	no	—
956	C₂×AGL(1,ℤ/8)	—	13	1	no	—
957	C₂×AGL(1,ℤ/8)	—	13	1	no	—
958	C₂×AGL(1,ℤ/8)	—	13	1	no	—
959	C₂×AGL(1,ℤ/8)	—	13	1	no	—
960	C₂×#135	—	13	1	no	—
961	C₂×#135	—	13	1	no	—
962	C₂×#135	—	13	1	no	—
963	C₂×#135	—	13	1	no	—
964	C₂×#135	—	13	1	no	—
965	C₂×#135	—	13	1	no	—
966	C₂×#135	—	13	1	no	—
967	C₂×#135	—	13	1	no	—
968	C₂×#135	—	13	1	no	—
969	C₂×#135	—	13	1	no	—
970	C₂×#135	—	26	8	no	—
971	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
972	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
973	C₂²×Q₁₆	—	13	1	no	—
974	C₂²×SD₁₆	—	13	1	no	—
975	C₂²×SD₁₆	—	13	1	no	—
976	C₂²×D₈	—	13	1	no	—
977	C₂²×M₁₆	—	13	1	no	—
978	C₂³×C₈	—	13	1	no	—
979	#537	—	26	1	no	—
980	#537	—	26	1	no	—
981	#536	—	13	1	no	—
982	#536	—	13	1	no	—
983	#536	—	13	1	no	—
984	#536	—	13	1	no	—
985	#535	—	13	1	no	—
986	#535	—	13	1	no	—
987	#535	—	13	1	no	—
988	#535	—	13	1	no	—
989	#534	—	26	1	no	—
990	#534	—	26	1	no	—
991	#532	—	13	1	no	—
992	#532	—	13	1	no	—
993	#532	—	13	1	no	—
994	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#525	—	26	1	no	—
996	#525	—	26	1	no	—
997	#525	—	26	1	no	—
998	#525	—	26	1	no	—
999	#520	—	13	1	no	—
1000	#520	—	13	1	no	—
1001	#520	—	13	1	no	—
1002	#520	—	13	1	no	—
1003	#520	—	26	1	no	—
1004	#520	—	26	1	no	—
1005	#519	—	13	1	no	—
1006	#519	—	13	1	no	—
1007	#518	—	13	1	no	—
1008	#518	—	13	1	no	—
1009	#518	—	26	1	no	—
1010	#518	—	26	1	no	—
1011	C₄×#41	—	13	1	no	—
1012	C₄×#41	—	13	1	no	—
1013	C₄×#41	—	13	1	no	—
1014	C₄×#41	—	26	1	no	—
1015	C₄×#41	—	26	1	no	—
1016	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
1017	C₂×#117	—	13	1	no	—
1018	C₂×#117	—	13	1	no	—
1019	C₂×#117	—	26	1	no	—
1020	C₂×#117	—	26	1	no	—
1021	#464	—	13	1	no	—
1022	#464	—	13	1	no	—
1023	#464	—	13	1	no	—
1024	#464	—	13	1	no	—
1025	#464	—	13	1	no	—
1026	#464	—	13	1	no	—
1027	#464	—	13	1	no	—
1028	#464	—	13	1	no	—
1029	#464	—	13	1	no	—
1030	#464	—	13	1	no	—
1031	#464	—	13	1	no	—
1032	#464	—	13	1	no	—
1033	#464	—	13	1	no	—
1034	#464	—	13	1	no	—
1035	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1036	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1037	#463	—	13	1	no	—
1038	#463	—	13	1	no	—
1039	#463	—	13	1	no	—
1040	#463	—	13	1	no	—
1041	#463	—	13	1	no	—
1042	#463	—	13	1	no	—
1043	#463	—	13	1	no	—
1044	#463	—	13	1	no	—
1045	#463	—	13	1	no	—
1046	#463	—	13	1	no	—
1047	#463	—	13	1	no	—
1048	#463	—	13	1	no	—
1049	#463	—	13	1	no	—
1050	#463	—	13	1	no	—
1051	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	#462	—	13	1	no	—
1054	#462	—	13	1	no	—
1055	#462	—	13	1	no	—
1056	#462	—	13	1	no	—
1057	#462	—	13	1	no	—
1058	#462	—	13	1	no	—
1059	#462	—	13	1	no	—
1060	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
1061	#461	—	13	1	no	—
1062	#461	—	13	1	no	—
1063	#461	—	13	1	no	—
1064	#461	—	13	1	no	—
1065	#461	—	13	1	no	—
1066	#461	—	13	1	no	—
1067	#461	—	13	1	no	—
1068	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	#460	—	13	1	no	—
1070	#460	—	13	1	no	—
1071	#460	—	13	1	no	—
1072	#460	—	13	1	no	—
1073	#460	—	13	1	no	—
1074	#460	—	13	1	no	—
1075	#460	—	13	1	no	—
1076	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1077	#459	—	13	1	no	—
1078	#459	—	13	1	no	—
1079	#459	—	13	1	no	—
1080	#459	—	13	1	no	—
1081	#459	—	13	1	no	—
1082	#459	—	13	1	no	—
1083	#459	—	13	1	no	—
1084	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1085	#424	—	13	1	no	—
1086	#424	—	13	1	no	—
1087	#424	—	13	1	no	—
1088	#424	—	13	1	no	—
1089	#424	—	13	1	no	—
1090	#424	—	13	1	no	—
1091	#424	—	13	1	no	—
1092	#424	—	13	1	no	—
1093	C₂×C₄⋊C₈	—	13	1	no	—
1094	C₂×C₄⋊C₈	—	13	1	no	—
1095	C₂×C₄⋊C₈	—	13	1	no	—
1096	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1097	#419	—	13	1	no	—
1098	#419	—	13	1	no	—
1099	#418	—	13	1	no	—
1100	#418	—	13	1	no	—
1101	#417	—	13	1	no	—
1102	#417	—	13	1	no	—
1103	#417	—	13	1	no	—
1104	#417	—	13	1	no	—
1105	#416	—	13	1	no	—
1106	#416	—	13	1	no	—
1107	#416	—	13	1	no	—
1108	#416	—	13	1	no	—
1109	#416	—	13	1	no	—
1110	#416	—	13	1	no	—
1111	#416	—	13	1	no	—
1112	#416	—	13	1	no	—
1113	#416	—	13	1	no	—
1114	#416	—	13	1	no	—
1115	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1116	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1117	C₂×#103	—	13	1	no	—
1118	C₂×#103	—	13	1	no	—
1119	C₂×#102	—	13	1	no	—
1120	C₂×#102	—	13	1	no	—
1121	C₂²×C₁₃	—	2	1	no	—
1122	C₂²×C₁₃	—	2	1	no	—
1123	C₂²×C₁₃	—	2	2	no	—
1124	C₂²×C₁₃	—	4	1	no	—
1125	C₂²×C₁₃	—	4	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	4	1	no	—
1128	C₂²×C₁₃	—	4	1	no	—
1129	C₂²×C₁₃	—	4	1	no	—
1130	C₂²×C₁₃	—	4	1	no	—
1131	C₂²×C₁₃	—	4	1	no	—
1132	C₂²×C₁₃	C₂×#121	1	2	yes	—
1133	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1134	C₂×D₁₃	—	2	1	no	—
1135	C₂×D₁₃	—	2	1	no	—
1136	C₂×D₁₃	—	2	1	no	—
1137	C₂×D₁₃	—	2	1	no	—
1138	C₂×D₁₃	—	2	2	no	—
1139	C₂×D₁₃	—	4	4	no	—
1140	C₂×D₁₃	—	4	1	no	—
1141	C₂×D₁₃	—	4	1	no	—
1142	C₂×D₁₃	—	4	1	no	—
1143	C₂×D₁₃	—	4	1	no	—
1144	C₂×D₁₃	—	4	1	no	—
1145	C₂×D₁₃	—	4	1	no	—
1146	C₂×D₁₃	—	4	1	no	—
1147	C₂×D₁₃	—	4	1	no	—
1148	C₂×D₁₃	—	8	4	no	—
1149	C₂×D₁₃	—	8	4	no	—
1150	C₂×D₁₃	—	8	4	no	—
1151	C₂×D₁₃	C₂×#121	1	2	yes	—
1152	C₂×D₁₃	C₂×#121	1	2	yes	—
1153	C₄×C₁₃	—	2	1	no	—
1154	C₄×C₁₃	—	2	1	no	—
1155	C₄×C₁₃	—	2	1	no	—
1156	C₄×C₁₃	—	2	1	no	—
1157	C₄×C₁₃	—	2	2	no	—
1158	C₄×C₁₃	—	4	1	no	—
1159	C₄×C₁₃	—	4	1	no	—
1160	C₄×C₁₃	—	4	1	no	—
1161	C₄×C₁₃	—	4	1	no	—
1162	C₄×C₁₃	C₂×#121	1	2	yes	—
1163	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
1164	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1165	Dic₁₃	—	2	1	no	—
1166	Dic₁₃	—	2	1	no	—
1167	Dic₁₃	—	2	1	no	—
1168	Dic₁₃	—	2	1	no	—
1169	Dic₁₃	—	2	2	no	—
1170	Dic₁₃	—	4	1	no	—
1171	Dic₁₃	—	4	1	no	—
1172	Dic₁₃	—	4	1	no	—
1173	Dic₁₃	—	4	1	no	—
1174	Dic₁₃	C₂×#121	1	2	yes	—
1175	Dic₁₃	C₂×#121	1	2	yes	—
1176	C₂×#41	—	13	8	no	—
1177	C₂×#41	—	13	1	no	—
1178	C₂×#41	—	13	1	no	—
1179	C₂×#41	—	13	1	no	—
1180	C₂×#41	—	13	1	no	—
1181	C₂×#41	—	13	1	no	—
1182	C₂×#41	—	13	1	no	—
1183	C₂×#41	—	13	1	no	—
1184	C₂×#41	—	13	1	no	—
1185	C₂×#41	—	13	1	no	—
1186	C₂×#41	—	26	1	no	—
1187	C₂×#41	—	26	1	no	—
1188	C₂×#41	—	26	1	no	—
1189	C₂×#41	—	26	1	no	—
1190	C₂×#41	—	26	1	no	—
1191	C₂×#41	—	26	1	no	—
1192	C₂×#41	—	26	4	no	—
1193	C₂×#41	—	26	4	no	—
1194	C₂×#41	—	26	4	no	—
1195	C₂×#41	—	26	4	no	—
1196	C₂×#41	—	26	4	no	—
1197	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂²×Q₈	—	13	1	no	—
1201	C₂²×Q₈	—	13	1	no	—
1202	C₂²×Q₈	—	13	1	no	—
1203	C₂²×D₄	—	13	1	no	—
1204	C₂²×D₄	—	13	1	no	—
1205	C₂²×D₄	—	13	1	no	—
1206	C₂²×D₄	—	26	1	no	—
1207	C₂²×D₄	—	26	1	no	—
1208	C₂²×D₄	—	26	1	no	—
1209	C₂³×C₄	—	13	1	no	—
1210	C₂³×C₄	—	26	1	no	—
1211	C₂³×C₄	—	26	1	no	—
1212	C₂³×C₄	—	26	1	no	—
1213	#137	—	26	4	no	—
1214	#137	—	26	4	no	—
1215	#137	—	26	4	no	—
1216	#137	—	26	4	no	—
1217	AGL(1,ℤ/8)	—	26	4	no	—
1218	AGL(1,ℤ/8)	—	26	4	no	—
1219	AGL(1,ℤ/8)	—	26	4	no	—
1220	AGL(1,ℤ/8)	—	26	4	no	—
1221	#135	—	2	4	no	—
1222	#135	—	2	4	no	—
1223	#135	—	26	4	no	—
1224	#135	—	26	4	no	—
1225	#135	—	26	4	no	—
1226	#135	—	26	4	no	—
1227	#135	—	26	4	no	—
1228	#135	—	26	4	no	—
1229	#135	—	26	4	no	—
1230	#135	—	26	4	no	—
1231	#135	—	26	4	no	—
1232	#135	—	26	4	no	—
1233	C₂×Q₁₆	—	13	1	no	—
1234	C₂×Q₁₆	—	13	1	no	—
1235	C₂×Q₁₆	—	13	1	no	—
1236	C₂×Q₁₆	—	13	1	no	—
1237	C₂×Q₁₆	—	13	1	no	—
1238	C₂×Q₁₆	—	13	1	no	—
1239	C₂×Q₁₆	—	26	4	no	—
1240	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1242	C₂×SD₁₆	—	13	1	no	—
1243	C₂×SD₁₆	—	13	1	no	—
1244	C₂×SD₁₆	—	13	1	no	—
1245	C₂×SD₁₆	—	13	1	no	—
1246	C₂×SD₁₆	—	13	1	no	—
1247	C₂×SD₁₆	—	13	1	no	—
1248	C₂×SD₁₆	—	13	1	no	—
1249	C₂×SD₁₆	—	13	1	no	—
1250	C₂×SD₁₆	—	13	1	no	—
1251	C₂×SD₁₆	—	13	1	no	—
1252	C₂×SD₁₆	—	13	1	no	—
1253	C₂×SD₁₆	—	13	1	no	—
1254	C₂×SD₁₆	—	26	4	no	—
1255	C₂×SD₁₆	—	26	4	no	—
1256	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1257	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1258	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1259	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1260	C₂×D₈	—	13	1	no	—
1261	C₂×D₈	—	13	1	no	—
1262	C₂×D₈	—	13	1	no	—
1263	C₂×D₈	—	13	1	no	—
1264	C₂×D₈	—	13	1	no	—
1265	C₂×D₈	—	13	1	no	—
1266	C₂×D₈	—	26	4	no	—
1267	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂×M₁₆	—	13	1	no	—
1270	C₂×M₁₆	—	13	1	no	—
1271	C₂×M₁₆	—	13	1	no	—
1272	C₂×M₁₆	—	13	1	no	—
1273	C₂×M₁₆	—	26	4	no	—
1274	C₂²×C₈	—	13	1	no	—
1275	C₂²×C₈	—	13	1	no	—
1276	C₂²×C₈	—	13	1	no	—
1277	C₂²×C₈	—	13	1	no	—
1278	C₂²×C₈	—	13	1	no	—
1279	C₂²×C₈	—	13	1	no	—
1280	C₂²×C₈	—	26	4	no	—
1281	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1283	C₄⋊Q₈	—	13	1	no	—
1284	C₄⋊Q₈	—	13	1	no	—
1285	C₄⋊Q₈	—	13	1	no	—
1286	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1287	#127	—	13	1	no	—
1288	#127	—	13	1	no	—
1289	#127	—	13	1	no	—
1290	#127	C₂²×D₁₃	1	1	yes	characteristic
1291	#124	—	13	1	no	—
1292	#124	—	13	1	no	—
1293	#124	—	13	1	no	—
1294	#124	—	13	1	no	—
1295	#124	—	13	1	no	—
1296	#124	—	13	1	no	—
1297	#124	C₂²×D₁₃	1	1	yes	characteristic
1298	#124	C₂²×D₁₃	1	1	yes	characteristic
1299	#123	—	26	1	no	—
1300	#123	—	26	1	no	—
1301	#123	—	26	1	no	—
1302	#123	—	26	1	no	—
1303	#123	—	26	1	no	—
1304	#123	—	26	1	no	—
1305	#123	—	26	1	no	—
1306	#123	—	26	1	no	—
1307	C₂²⋊Q₈	—	26	1	no	—
1308	C₂²⋊Q₈	—	26	1	no	—
1309	C₂²⋊Q₈	—	26	1	no	—
1310	C₂²⋊Q₈	—	26	1	no	—
1311	C₂²⋊Q₈	—	26	1	no	—
1312	C₂²⋊Q₈	—	26	1	no	—
1313	C₂²⋊Q₈	—	26	1	no	—
1314	C₂²⋊Q₈	—	26	1	no	—
1315	#121	—	2	1	no	—
1316	#121	—	2	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	#120	—	26	1	no	—
1334	#120	—	26	1	no	—
1335	#120	—	26	1	no	—
1336	#120	—	26	1	no	—
1337	#120	—	26	1	no	—
1338	#120	—	26	1	no	—
1339	C₄×Q₈	—	13	1	no	—
1340	C₄×Q₈	—	13	1	no	—
1341	C₄×Q₈	—	13	1	no	—
1342	C₄×Q₈	—	13	1	no	—
1343	C₄×Q₈	—	13	1	no	—
1344	C₄×Q₈	—	13	1	no	—
1345	C₄×Q₈	—	26	1	no	—
1346	C₄×Q₈	—	26	1	no	—
1347	C₄×Q₈	—	26	1	no	—
1348	C₄×Q₈	—	26	1	no	—
1349	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1350	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1351	C₄×D₄	—	2	1	no	—
1352	C₄×D₄	—	2	1	no	—
1353	C₄×D₄	—	2	1	no	—
1354	C₄×D₄	—	2	1	no	—
1355	C₄×D₄	—	13	1	no	—
1356	C₄×D₄	—	13	1	no	—
1357	C₄×D₄	—	13	1	no	—
1358	C₄×D₄	—	13	1	no	—
1359	C₄×D₄	—	13	1	no	—
1360	C₄×D₄	—	13	1	no	—
1361	C₄×D₄	—	26	1	no	—
1362	C₄×D₄	—	26	1	no	—
1363	C₄×D₄	—	26	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	—	26	1	no	—
1367	C₄×D₄	—	26	1	no	—
1368	C₄×D₄	—	26	1	no	—
1369	C₄×D₄	—	26	1	no	—
1370	C₄×D₄	—	26	1	no	—
1371	C₄×D₄	—	26	1	no	—
1372	C₄×D₄	—	26	1	no	—
1373	C₄×D₄	—	26	1	no	—
1374	C₄×D₄	—	26	1	no	—
1375	C₄×D₄	—	26	1	no	—
1376	C₄×D₄	—	26	1	no	—
1377	C₄×D₄	—	26	1	no	—
1378	C₄×D₄	—	26	1	no	—
1379	C₄×D₄	—	26	1	no	—
1380	C₄×D₄	—	26	1	no	—
1381	C₄×D₄	—	26	1	no	—
1382	C₄×D₄	—	26	1	no	—
1383	C₄×D₄	—	26	1	no	—
1384	C₄×D₄	—	26	1	no	—
1385	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1386	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1387	#117	—	2	1	no	—
1388	#117	—	13	1	no	—
1389	#117	—	13	1	no	—
1390	#117	—	13	1	no	—
1391	#117	—	13	1	no	—
1392	#117	—	13	1	no	—
1393	#117	—	13	1	no	—
1394	#117	—	13	1	no	—
1395	#117	—	13	1	no	—
1396	#117	—	13	1	no	—
1397	#117	—	13	1	no	—
1398	#117	—	13	1	no	—
1399	#117	—	26	1	no	—
1400	#117	—	26	1	no	—
1401	#117	—	26	1	no	—
1402	#117	—	26	1	no	—
1403	#117	—	26	1	no	—
1404	#117	—	26	1	no	—
1405	#117	—	26	1	no	—
1406	#117	—	26	1	no	—
1407	#117	—	26	1	no	—
1408	#117	—	26	1	no	—
1409	#117	—	26	1	no	—
1410	#117	—	26	1	no	—
1411	#117	—	26	1	no	—
1412	#117	C₂²×D₁₃	1	1	yes	characteristic
1413	C₂×C₄⋊C₄	—	13	1	no	—
1414	C₂×C₄⋊C₄	—	13	1	no	—
1415	C₂×C₄⋊C₄	—	13	1	no	—
1416	C₂×C₄⋊C₄	—	13	1	no	—
1417	C₂×C₄⋊C₄	—	26	1	no	—
1418	C₂×C₄⋊C₄	—	26	1	no	—
1419	C₂×C₄⋊C₄	—	26	1	no	—
1420	C₂×C₄⋊C₄	—	26	1	no	—
1421	C₂×C₂²⋊C₄	—	13	1	no	—
1422	C₂×C₂²⋊C₄	—	13	1	no	—
1423	C₂×C₂²⋊C₄	—	26	1	no	—
1424	C₂×C₂²⋊C₄	—	26	1	no	—
1425	C₂×C₂²⋊C₄	—	26	1	no	—
1426	C₂×C₂²⋊C₄	—	26	1	no	—
1427	C₂×C₂²⋊C₄	—	26	1	no	—
1428	C₂×C₄²	—	2	1	no	—
1429	C₂×C₄²	—	13	1	no	—
1430	C₂×C₄²	—	26	1	no	—
1431	C₂×C₄²	—	26	1	no	—
1432	C₂×C₄²	—	26	1	no	—
1433	C₂×C₄²	—	26	1	no	—
1434	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1435	C₄⋊C₈	—	13	1	no	—
1436	C₄⋊C₈	—	13	1	no	—
1437	C₄⋊C₈	—	13	1	no	—
1438	C₄⋊C₈	—	13	1	no	—
1439	C₄⋊C₈	—	13	1	no	—
1440	C₄⋊C₈	—	13	1	no	—
1441	C₄⋊C₈	—	13	1	no	—
1442	C₄⋊C₈	—	13	1	no	—
1443	C₄⋊C₈	—	13	1	no	—
1444	C₄⋊C₈	—	13	1	no	—
1445	C₄⋊C₈	—	13	1	no	—
1446	C₄⋊C₈	—	13	1	no	—
1447	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1448	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1449	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1450	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1451	#103	—	13	1	no	—
1452	#103	—	13	1	no	—
1453	#103	—	13	1	no	—
1454	#103	—	13	1	no	—
1455	#103	—	13	1	no	—
1456	#103	—	13	1	no	—
1457	#103	—	13	1	no	—
1458	#103	—	13	1	no	—
1459	#103	—	13	1	no	—
1460	#103	—	13	1	no	—
1461	#103	—	13	1	no	—
1462	#103	—	13	1	no	—
1463	#103	C₂²×D₁₃	1	1	yes	characteristic
1464	#103	C₂²×D₁₃	1	1	yes	characteristic
1465	#103	C₂²×D₁₃	1	1	yes	characteristic
1466	#103	C₂²×D₁₃	1	1	yes	characteristic
1467	#102	—	13	1	no	—
1468	#102	—	13	1	no	—
1469	#102	—	13	1	no	—
1470	#102	—	13	1	no	—
1471	#102	—	13	1	no	—
1472	#102	—	13	1	no	—
1473	#102	—	13	1	no	—
1474	#102	—	13	1	no	—
1475	#102	—	13	1	no	—
1476	#102	—	13	1	no	—
1477	#102	—	13	1	no	—
1478	#102	—	13	1	no	—
1479	#102	C₂²×D₁₃	1	1	yes	characteristic
1480	#102	C₂²×D₁₃	1	1	yes	characteristic
1481	#102	C₂²×D₁₃	1	1	yes	characteristic
1482	#102	C₂²×D₁₃	1	1	yes	characteristic
1483	C₂×C₁₃	—	2	2	no	—
1484	C₂×C₁₃	—	4	2	no	—
1485	C₂×C₁₃	—	8	1	no	—
1486	C₂×C₁₃	—	8	1	no	—
1487	C₂×C₁₃	C₂²×#121	1	1	yes	characteristic
1488	C₂×C₁₃	#3584	1	1	yes	characteristic
1489	C₂×C₁₃	#3584	1	1	yes	characteristic
1490	D₁₃	—	2	2	no	—
1491	D₁₃	—	2	2	no	—
1492	D₁₃	—	4	2	no	—
1493	D₁₃	—	8	1	no	—
1494	D₁₃	—	8	1	no	—
1495	C₂⁴	—	13	1	no	—
1496	C₂⁴	—	26	1	no	—
1497	C₂⁴	—	26	1	no	—
1498	C₂⁴	—	26	1	no	—
1499	#41	—	2	2	no	—
1500	#41	—	2	2	no	—
1501	#41	—	2	2	no	—
1502	#41	—	2	2	no	—
1503	#41	—	2	2	no	—
1504	#41	—	13	4	no	—
1505	#41	—	13	4	no	—
1506	#41	—	13	4	no	—
1507	#41	—	26	8	no	—
1508	#41	—	26	8	no	—
1509	#41	—	26	2	no	—
1510	#41	—	26	2	no	—
1511	#41	—	26	2	no	—
1512	#41	—	26	2	no	—
1513	#41	—	26	2	no	—
1514	#41	—	26	2	no	—
1515	#41	—	26	2	no	—
1516	#41	—	26	2	no	—
1517	#41	—	26	2	no	—
1518	#41	—	26	2	no	—
1519	#41	—	26	2	no	—
1520	#41	—	26	2	no	—
1521	#41	—	26	2	no	—
1522	#41	—	26	2	no	—
1523	#41	—	26	2	no	—
1524	#41	—	52	4	no	—
1525	#41	—	52	4	no	—
1526	#41	—	52	4	no	—
1527	#41	—	52	4	no	—
1528	#41	D₄×D₁₃	1	4	yes	—
1529	C₂×Q₈	—	13	4	no	—
1530	C₂×Q₈	—	13	1	no	—
1531	C₂×Q₈	—	13	1	no	—
1532	C₂×Q₈	—	13	1	no	—
1533	C₂×Q₈	—	26	1	no	—
1534	C₂×Q₈	—	26	1	no	—
1535	C₂×Q₈	—	26	1	no	—
1536	C₂×Q₈	—	26	2	no	—
1537	C₂×Q₈	—	26	2	no	—
1538	C₂×Q₈	—	26	2	no	—
1539	C₂×Q₈	—	26	2	no	—
1540	C₂×Q₈	—	26	2	no	—
1541	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1543	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1544	C₂×D₄	—	2	1	no	—
1545	C₂×D₄	—	2	1	no	—
1546	C₂×D₄	—	2	1	no	—
1547	C₂×D₄	—	2	1	no	—
1548	C₂×D₄	—	2	1	no	—
1549	C₂×D₄	—	13	4	no	—
1550	C₂×D₄	—	13	1	no	—
1551	C₂×D₄	—	13	1	no	—
1552	C₂×D₄	—	13	1	no	—
1553	C₂×D₄	—	26	1	no	—
1554	C₂×D₄	—	26	1	no	—
1555	C₂×D₄	—	26	1	no	—
1556	C₂×D₄	—	26	2	no	—
1557	C₂×D₄	—	26	2	no	—
1558	C₂×D₄	—	26	2	no	—
1559	C₂×D₄	—	26	2	no	—
1560	C₂×D₄	—	26	2	no	—
1561	C₂×D₄	—	26	1	no	—
1562	C₂×D₄	—	26	1	no	—
1563	C₂×D₄	—	26	1	no	—
1564	C₂×D₄	—	26	1	no	—
1565	C₂×D₄	—	26	1	no	—
1566	C₂×D₄	—	26	1	no	—
1567	C₂×D₄	—	26	1	no	—
1568	C₂×D₄	—	26	8	no	—
1569	C₂×D₄	—	26	1	no	—
1570	C₂×D₄	—	26	1	no	—
1571	C₂×D₄	—	26	1	no	—
1572	C₂×D₄	—	26	1	no	—
1573	C₂×D₄	—	26	1	no	—
1574	C₂×D₄	—	26	1	no	—
1575	C₂×D₄	—	26	1	no	—
1576	C₂×D₄	—	26	1	no	—
1577	C₂×D₄	—	52	4	no	—
1578	C₂×D₄	—	52	4	no	—
1579	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1580	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1581	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1582	C₂²×C₄	—	2	1	no	—
1583	C₂²×C₄	—	2	1	no	—
1584	C₂²×C₄	—	2	1	no	—
1585	C₂²×C₄	—	2	1	no	—
1586	C₂²×C₄	—	2	1	no	—
1587	C₂²×C₄	—	13	1	no	—
1588	C₂²×C₄	—	13	4	no	—
1589	C₂²×C₄	—	13	1	no	—
1590	C₂²×C₄	—	13	1	no	—
1591	C₂²×C₄	—	13	4	no	—
1592	C₂²×C₄	—	13	1	no	—
1593	C₂²×C₄	—	13	1	no	—
1594	C₂²×C₄	—	13	1	no	—
1595	C₂²×C₄	—	13	1	no	—
1596	C₂²×C₄	—	26	1	no	—
1597	C₂²×C₄	—	26	8	no	—
1598	C₂²×C₄	—	26	1	no	—
1599	C₂²×C₄	—	26	1	no	—
1600	C₂²×C₄	—	26	1	no	—
1601	C₂²×C₄	—	26	1	no	—
1602	C₂²×C₄	—	26	1	no	—
1603	C₂²×C₄	—	26	1	no	—
1604	C₂²×C₄	—	26	1	no	—
1605	C₂²×C₄	—	26	1	no	—
1606	C₂²×C₄	—	26	1	no	—
1607	C₂²×C₄	—	26	1	no	—
1608	C₂²×C₄	—	26	1	no	—
1609	C₂²×C₄	—	26	1	no	—
1610	C₂²×C₄	—	26	1	no	—
1611	C₂²×C₄	—	26	1	no	—
1612	C₂²×C₄	—	26	1	no	—
1613	C₂²×C₄	—	26	1	no	—
1614	C₂²×C₄	—	26	1	no	—
1615	C₂²×C₄	—	26	1	no	—
1616	C₂²×C₄	—	26	1	no	—
1617	C₂²×C₄	—	52	4	no	—
1618	C₂²×C₄	—	52	4	no	—
1619	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1620	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1621	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1622	Q₁₆	—	2	2	no	—
1623	Q₁₆	—	2	2	no	—
1624	Q₁₆	—	26	2	no	—
1625	Q₁₆	—	26	2	no	—
1626	Q₁₆	—	26	2	no	—
1627	Q₁₆	—	26	2	no	—
1628	Q₁₆	—	26	2	no	—
1629	Q₁₆	—	26	2	no	—
1630	SD₁₆	—	2	2	no	—
1631	SD₁₆	—	2	2	no	—
1632	SD₁₆	—	2	2	no	—
1633	SD₁₆	—	2	2	no	—
1634	SD₁₆	—	26	2	no	—
1635	SD₁₆	—	26	2	no	—
1636	SD₁₆	—	26	2	no	—
1637	SD₁₆	—	26	2	no	—
1638	SD₁₆	—	26	2	no	—
1639	SD₁₆	—	26	2	no	—
1640	SD₁₆	—	26	2	no	—
1641	SD₁₆	—	26	2	no	—
1642	SD₁₆	—	26	2	no	—
1643	SD₁₆	—	26	2	no	—
1644	SD₁₆	—	26	2	no	—
1645	SD₁₆	—	26	2	no	—
1646	D₈	—	2	2	no	—
1647	D₈	—	2	2	no	—
1648	D₈	—	26	2	no	—
1649	D₈	—	26	2	no	—
1650	D₈	—	26	2	no	—
1651	D₈	—	26	2	no	—
1652	D₈	—	26	2	no	—
1653	D₈	—	26	2	no	—
1654	M₁₆	—	26	2	no	—
1655	M₁₆	—	26	2	no	—
1656	M₁₆	—	26	2	no	—
1657	M₁₆	—	26	2	no	—
1658	C₂×C₈	—	2	2	no	—
1659	C₂×C₈	—	2	2	no	—
1660	C₂×C₈	—	13	1	no	—
1661	C₂×C₈	—	13	1	no	—
1662	C₂×C₈	—	13	1	no	—
1663	C₂×C₈	—	13	1	no	—
1664	C₂×C₈	—	26	2	no	—
1665	C₂×C₈	—	26	2	no	—
1666	C₂×C₈	—	26	2	no	—
1667	C₂×C₈	—	26	2	no	—
1668	C₂×C₈	—	26	2	no	—
1669	C₂×C₈	—	26	2	no	—
1670	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1671	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1672	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1673	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1674	C₄⋊C₄	—	2	1	no	—
1675	C₄⋊C₄	—	2	1	no	—
1676	C₄⋊C₄	—	2	1	no	—
1677	C₄⋊C₄	—	2	1	no	—
1678	C₄⋊C₄	—	13	1	no	—
1679	C₄⋊C₄	—	13	1	no	—
1680	C₄⋊C₄	—	13	1	no	—
1681	C₄⋊C₄	—	13	1	no	—
1682	C₄⋊C₄	—	13	1	no	—
1683	C₄⋊C₄	—	13	1	no	—
1684	C₄⋊C₄	—	13	1	no	—
1685	C₄⋊C₄	—	13	1	no	—
1686	C₄⋊C₄	—	13	1	no	—
1687	C₄⋊C₄	—	13	1	no	—
1688	C₄⋊C₄	—	26	1	no	—
1689	C₄⋊C₄	—	26	1	no	—
1690	C₄⋊C₄	—	26	1	no	—
1691	C₄⋊C₄	—	26	1	no	—
1692	C₄⋊C₄	—	26	1	no	—
1693	C₄⋊C₄	—	26	1	no	—
1694	C₄⋊C₄	—	26	1	no	—
1695	C₄⋊C₄	—	26	1	no	—
1696	C₄⋊C₄	—	26	1	no	—
1697	C₄⋊C₄	—	26	1	no	—
1698	C₄⋊C₄	—	26	1	no	—
1699	C₄⋊C₄	—	26	1	no	—
1700	C₄⋊C₄	—	26	1	no	—
1701	C₄⋊C₄	—	26	1	no	—
1702	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1703	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1704	C₂²⋊C₄	—	2	1	no	—
1705	C₂²⋊C₄	—	2	1	no	—
1706	C₂²⋊C₄	—	2	1	no	—
1707	C₂²⋊C₄	—	2	1	no	—
1708	C₂²⋊C₄	—	2	1	no	—
1709	C₂²⋊C₄	—	2	1	no	—
1710	C₂²⋊C₄	—	2	1	no	—
1711	C₂²⋊C₄	—	13	1	no	—
1712	C₂²⋊C₄	—	13	1	no	—
1713	C₂²⋊C₄	—	13	1	no	—
1714	C₂²⋊C₄	—	13	1	no	—
1715	C₂²⋊C₄	—	13	1	no	—
1716	C₂²⋊C₄	—	13	1	no	—
1717	C₂²⋊C₄	—	13	1	no	—
1718	C₂²⋊C₄	—	13	1	no	—
1719	C₂²⋊C₄	—	26	1	no	—
1720	C₂²⋊C₄	—	26	1	no	—
1721	C₂²⋊C₄	—	26	1	no	—
1722	C₂²⋊C₄	—	26	1	no	—
1723	C₂²⋊C₄	—	26	1	no	—
1724	C₂²⋊C₄	—	26	1	no	—
1725	C₂²⋊C₄	—	26	1	no	—
1726	C₂²⋊C₄	—	26	1	no	—
1727	C₂²⋊C₄	—	26	1	no	—
1728	C₂²⋊C₄	—	26	1	no	—
1729	C₂²⋊C₄	—	26	1	no	—
1730	C₂²⋊C₄	—	26	1	no	—
1731	C₂²⋊C₄	—	26	1	no	—
1732	C₂²⋊C₄	—	26	1	no	—
1733	C₂²⋊C₄	—	26	1	no	—
1734	C₂²⋊C₄	—	26	1	no	—
1735	C₂²⋊C₄	—	26	1	no	—
1736	C₂²⋊C₄	—	26	1	no	—
1737	C₂²⋊C₄	—	26	1	no	—
1738	C₂²⋊C₄	—	26	1	no	—
1739	C₂²⋊C₄	—	26	1	no	—
1740	C₄²	—	2	1	no	—
1741	C₄²	—	2	1	no	—
1742	C₄²	—	2	1	no	—
1743	C₄²	—	13	1	no	—
1744	C₄²	—	13	1	no	—
1745	C₄²	—	13	1	no	—
1746	C₄²	—	13	1	no	—
1747	C₄²	—	26	1	no	—
1748	C₄²	—	26	1	no	—
1749	C₄²	—	26	1	no	—
1750	C₄²	—	26	1	no	—
1751	C₄²	—	26	1	no	—
1752	C₄²	—	26	1	no	—
1753	C₄²	—	26	1	no	—
1754	C₄²	—	26	1	no	—
1755	C₄²	—	26	1	no	—
1756	C₄²	D₄×D₁₃	1	1	yes	characteristic
1757	C₄²	D₄×D₁₃	1	1	yes	characteristic
1758	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1759	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1760	C₁₃	#60422	1	1	yes	characteristic, complemented, Sylow
1761	C₂³	—	2	1	no	—
1762	C₂³	—	2	1	no	—
1763	C₂³	—	2	1	no	—
1764	C₂³	—	13	1	no	—
1765	C₂³	—	13	1	no	—
1766	C₂³	—	13	4	no	—
1767	C₂³	—	26	4	no	—
1768	C₂³	—	26	1	no	—
1769	C₂³	—	26	1	no	—
1770	C₂³	—	26	1	no	—
1771	C₂³	—	52	1	no	—
1772	C₂³	—	52	1	no	—
1773	C₂³	—	52	2	no	—
1774	C₂³	—	52	2	no	—
1775	C₂³	—	104	1	no	—
1776	C₂³	—	104	1	no	—
1777	C₂³	—	104	1	no	—
1778	C₂³	—	104	1	no	—
1779	C₂³	—	104	1	no	—
1780	C₂³	—	104	1	no	—
1781	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1782	Q₈	—	2	1	no	—
1783	Q₈	—	2	1	no	—
1784	Q₈	—	2	1	no	—
1785	Q₈	—	2	1	no	—
1786	Q₈	—	2	1	no	—
1787	Q₈	—	13	2	no	—
1788	Q₈	—	26	4	no	—
1789	Q₈	—	26	1	no	—
1790	Q₈	—	26	1	no	—
1791	Q₈	—	26	1	no	—
1792	Q₈	—	26	1	no	—
1793	Q₈	—	26	1	no	—
1794	Q₈	—	52	2	no	—
1795	Q₈	—	52	2	no	—
1796	Q₈	C₂×D₄×D₁₃	1	2	yes	—
1797	D₄	—	2	4	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	2	1	no	—
1800	D₄	—	2	1	no	—
1801	D₄	—	2	1	no	—
1802	D₄	—	2	1	no	—
1803	D₄	—	4	2	no	—
1804	D₄	—	4	2	no	—
1805	D₄	—	8	1	no	—
1806	D₄	—	8	1	no	—
1807	D₄	—	13	2	no	—
1808	D₄	—	26	4	no	—
1809	D₄	—	26	4	no	—
1810	D₄	—	26	4	no	—
1811	D₄	—	26	4	no	—
1812	D₄	—	26	1	no	—
1813	D₄	—	26	1	no	—
1814	D₄	—	26	1	no	—
1815	D₄	—	26	1	no	—
1816	D₄	—	26	1	no	—
1817	D₄	—	52	2	no	—
1818	D₄	—	52	2	no	—
1819	D₄	—	52	2	no	—
1820	D₄	—	52	2	no	—
1821	D₄	—	52	2	no	—
1822	D₄	—	52	2	no	—
1823	D₄	—	52	2	no	—
1824	D₄	—	52	2	no	—
1825	D₄	—	104	1	no	—
1826	D₄	—	104	1	no	—
1827	D₄	—	104	1	no	—
1828	D₄	—	104	1	no	—
1829	D₄	—	104	1	no	—
1830	D₄	—	104	1	no	—
1831	D₄	C₂×D₄×D₁₃	1	2	yes	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	4	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	4	1	no	—
1839	C₂×C₄	—	4	1	no	—
1840	C₂×C₄	—	4	2	no	—
1841	C₂×C₄	—	4	2	no	—
1842	C₂×C₄	—	8	1	no	—
1843	C₂×C₄	—	8	1	no	—
1844	C₂×C₄	—	13	4	no	—
1845	C₂×C₄	—	13	1	no	—
1846	C₂×C₄	—	13	1	no	—
1847	C₂×C₄	—	13	4	no	—
1848	C₂×C₄	—	13	4	no	—
1849	C₂×C₄	—	13	2	no	—
1850	C₂×C₄	—	13	2	no	—
1851	C₂×C₄	—	13	2	no	—
1852	C₂×C₄	—	13	2	no	—
1853	C₂×C₄	—	13	1	no	—
1854	C₂×C₄	—	13	1	no	—
1855	C₂×C₄	—	13	1	no	—
1856	C₂×C₄	—	13	1	no	—
1857	C₂×C₄	—	26	4	no	—
1858	C₂×C₄	—	26	4	no	—
1859	C₂×C₄	—	26	4	no	—
1860	C₂×C₄	—	26	1	no	—
1861	C₂×C₄	—	26	4	no	—
1862	C₂×C₄	—	26	1	no	—
1863	C₂×C₄	—	26	1	no	—
1864	C₂×C₄	—	26	1	no	—
1865	C₂×C₄	—	26	1	no	—
1866	C₂×C₄	—	52	2	no	—
1867	C₂×C₄	—	52	2	no	—
1868	C₂×C₄	—	52	2	no	—
1869	C₂×C₄	—	52	2	no	—
1870	C₂×C₄	—	52	2	no	—
1871	C₂×C₄	—	52	2	no	—
1872	C₂×C₄	—	52	1	no	—
1873	C₂×C₄	—	52	1	no	—
1874	C₂×C₄	—	52	2	no	—
1875	C₂×C₄	—	52	2	no	—
1876	C₂×C₄	—	104	1	no	—
1877	C₂×C₄	—	104	1	no	—
1878	C₂×C₄	—	104	1	no	—
1879	C₂×C₄	—	104	1	no	—
1880	C₂×C₄	—	104	1	no	—
1881	C₂×C₄	—	104	1	no	—
1882	C₂×C₄	—	104	1	no	—
1883	C₂×C₄	—	104	1	no	—
1884	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1885	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1886	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1887	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1888	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1889	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1890	C₂×C₄	#41×D₁₃	1	2	yes	—
1891	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1892	C₈	—	2	1	no	—
1893	C₈	—	2	1	no	—
1894	C₈	—	2	1	no	—
1895	C₈	—	2	1	no	—
1896	C₈	—	26	1	no	—
1897	C₈	—	26	1	no	—
1898	C₈	—	26	1	no	—
1899	C₈	—	26	1	no	—
1900	C₂²	—	2	1	no	—
1901	C₂²	—	2	1	no	—
1902	C₂²	—	2	2	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	4	1	no	—
1908	C₂²	—	4	1	no	—
1909	C₂²	—	4	1	no	—
1910	C₂²	—	4	1	no	—
1911	C₂²	—	13	2	no	—
1912	C₂²	—	13	2	no	—
1913	C₂²	—	26	1	no	—
1914	C₂²	—	26	1	no	—
1915	C₂²	—	26	1	no	—
1916	C₂²	—	26	1	no	—
1917	C₂²	—	26	2	no	—
1918	C₂²	—	52	4	no	—
1919	C₂²	—	52	1	no	—
1920	C₂²	—	52	1	no	—
1921	C₂²	—	52	1	no	—
1922	C₂²	—	52	1	no	—
1923	C₂²	—	52	1	no	—
1924	C₂²	—	52	1	no	—
1925	C₂²	—	52	1	no	—
1926	C₂²	—	52	1	no	—
1927	C₂²	—	104	4	no	—
1928	C₂²	—	104	4	no	—
1929	C₂²	—	104	4	no	—
1930	C₂²	D₁₃×#121	1	2	yes	—
1931	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1932	C₄	—	2	2	no	—
1933	C₄	—	2	1	no	—
1934	C₄	—	2	1	no	—
1935	C₄	—	2	1	no	—
1936	C₄	—	2	1	no	—
1937	C₄	—	4	1	no	—
1938	C₄	—	4	1	no	—
1939	C₄	—	4	1	no	—
1940	C₄	—	4	1	no	—
1941	C₄	—	13	2	no	—
1942	C₄	—	13	2	no	—
1943	C₄	—	26	2	no	—
1944	C₄	—	26	1	no	—
1945	C₄	—	26	1	no	—
1946	C₄	—	26	1	no	—
1947	C₄	—	26	1	no	—
1948	C₄	—	52	1	no	—
1949	C₄	—	52	1	no	—
1950	C₄	—	52	1	no	—
1951	C₄	—	52	1	no	—
1952	C₄	D₁₃×#121	1	2	yes	—
1953	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
1954	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1955	C₂	—	2	2	no	—
1956	C₂	—	4	2	no	—
1957	C₂	—	8	1	no	—
1958	C₂	—	8	1	no	—
1959	C₂	—	26	2	no	—
1960	C₂	—	26	2	no	—
1961	C₂	—	52	2	no	—
1962	C₂	—	104	1	no	—
1963	C₂	—	104	1	no	—
1964	C₂	C₂×D₁₃×#121	1	1	yes	characteristic
1965	C₂	#13129605	1	1	yes	characteristic
1966	C₂	#13129609	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×#3035	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3035	D₁₃
hypocenter	C₁₃	#60422
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3035

Complements

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

N	H ≅ G/N	type
1. C₂×#11719473	C₂	semidirect
2. C₂×D₁₃×#135	C₂	semidirect
3. #13128163	C₂	semidirect
4. #13128035	C₂	semidirect
5. #13124389	C₂	semidirect
6. #13124387	C₂	semidirect
7. #13124383	C₂	semidirect
8. #13124381	C₂	semidirect
9. #13124378	C₂	semidirect
10. #13124376	C₂	semidirect
11. #13124372	C₂	semidirect
12. #13124370	C₂	semidirect
13. #13124364	C₂	semidirect
14. #13124361	C₂	semidirect
15. #13124355	C₂	semidirect
16. #13124352	C₂	semidirect
17. #13124346	C₂	semidirect
18. #13124343	C₂	semidirect
19. #13124337	C₂	semidirect
20. #13124334	C₂	semidirect
21. #13124293	C₂	semidirect
22. #13124291	C₂	semidirect
23. #13124289	C₂	semidirect
24. #13124289	C₂	semidirect
25. #13124287	C₂	semidirect
26. #13124287	C₂	semidirect
27. #13124285	C₂	semidirect
28. C₂×#11718500	C₂	semidirect
29. #13123351	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3035	C₂	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₁₃×#532	C₂²	semidirect
38. C₄×C₁₃×#41	C₂²	semidirect
39. #11719537	C₂²	semidirect
40. #11719537	C₂²	semidirect
41. #41×Dic₁₃	C₂²	semidirect
42. C₂×#88204	C₂²	semidirect
43. C₂×#88204	C₂²	semidirect
44. C₂×#88204	C₂²	semidirect
45. C₂×#88204	C₂²	semidirect
50. C₂×#88172	C₂²	semidirect
51. C₂×Q₁₆×D₁₃	C₂²	semidirect
55. C₂×#88169	C₂²	semidirect
57. C₂×#88168	C₂²	semidirect
58. C₂×SD₁₆×D₁₃	C₂²	semidirect
59. C₂×SD₁₆×D₁₃	C₂²	semidirect
62. C₂×#88165	C₂²	semidirect
63. C₂×D₈×D₁₃	C₂²	semidirect
64. C₂×#88158	C₂²	semidirect
65. C₂×#88158	C₂²	semidirect
69. #11719429	C₂²	semidirect
71. #11719420	C₂²	semidirect
73. #11719380	C₂²	semidirect
75. #11719379	C₂²	semidirect
80. #11719279	C₂²	semidirect
81. #11719279	C₂²	semidirect
82. #11719277	C₂²	semidirect
83. #11719277	C₂²	semidirect
90. #11719251	C₂²	semidirect
91. #11719251	C₂²	semidirect
94. #11719250	C₂²	semidirect
95. #11719250	C₂²	semidirect
97. #11719227	C₂²	semidirect
100. #11719182	C₂²	semidirect
102. C₄×#6127	C₂²	semidirect
105. C₁₃×#464	C₂²	semidirect
106. C₁₃×#464	C₂²	semidirect
107. C₁₃×#463	C₂²	semidirect
108. C₁₃×#463	C₂²	semidirect
109. C₁₃×#462	C₂²	semidirect
110. C₁₃×#461	C₂²	semidirect
111. C₁₃×#460	C₂²	semidirect
112. C₁₃×#459	C₂²	semidirect
113. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
114. C₁₃×#416	C₂²	semidirect
115. C₁₃×#416	C₂²	semidirect
116. #11718894	C₂²	semidirect
117. #11718894	C₂²	semidirect
118. #11718846	C₂²	semidirect
119. #11718846	C₂²	semidirect
120. #11718843	C₂²	semidirect
121. #11718843	C₂²	semidirect
122. #11718827	C₂²	semidirect
123. #11718827	C₂²	semidirect
124. #11718826	C₂²	semidirect
125. #11718826	C₂²	semidirect
126. #11718824	C₂²	semidirect
127. #11718824	C₂²	semidirect
128. #11718823	C₂²	semidirect
129. #11718823	C₂²	semidirect
130. #11718814	C₂²	semidirect
131. #11718814	C₂²	semidirect
132. #11718811	C₂²	semidirect
133. #11718811	C₂²	semidirect
134. #11718774	C₂²	semidirect
135. #11718774	C₂²	semidirect
136. C₂×#88054	C₂²	semidirect
137. C₂×#88054	C₂²	semidirect
138. #11718751	C₂²	semidirect
139. #11718744	C₂²	semidirect
140. #11718736	C₂²	semidirect
141. #11718733	C₂²	semidirect
142. #11718718	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718715	C₂²	semidirect
145. #11718715	C₂²	semidirect
146. #11718692	C₂²	semidirect
147. #11718689	C₂²	semidirect
148. #11718689	C₂²	semidirect
149. #11718688	C₂²	semidirect
150. #11718680	C₂²	semidirect
151. #11718677	C₂²	semidirect
152. #11718677	C₂²	semidirect
153. #11718676	C₂²	semidirect
154. #11718663	C₂²	semidirect
155. #11718663	C₂²	semidirect
156. C₂×C₄⋊#1055	C₂²	semidirect
157. #11718510	C₂²	semidirect
158. #11718509	C₂²	semidirect
159. #11718506	C₂²	semidirect
160. #11718506	C₂²	semidirect
161. #11718505	C₂²	semidirect
162. #11718505	C₂²	semidirect
163. #11718504	C₂²	semidirect
164. #11718502	C₂²	semidirect
165. #11718500	C₂²	semidirect
166. #11718500	C₂²	semidirect
167. #11718500	C₂²	semidirect
168. #11718500	C₂²	semidirect
169. #11718500	C₂²	semidirect
170. #11718500	C₂²	semidirect
171. #11718500	C₂²	semidirect
172. #11718500	C₂²	semidirect
173. #11718480	C₂²	semidirect
174. #11718480	C₂²	semidirect
175. #11718479	C₂²	semidirect
176. #11718479	C₂²	semidirect
179. #11718464	C₂²	semidirect
180. #11718464	C₂²	semidirect
181. #11718463	C₂²	semidirect
182. #11718463	C₂²	semidirect
183. D₁₃×#103	C₂²	semidirect
184. D₁₃×#103	C₂²	semidirect
185. #11718459	C₂²	semidirect
186. #11718459	C₂²	semidirect
187. #11718454	C₂²	semidirect
188. #11718454	C₂²	semidirect
189. #11718448	C₂²	semidirect
190. #11718448	C₂²	semidirect
191. #11718447	C₂²	semidirect
192. #11718447	C₂²	semidirect
195. #11718432	C₂²	semidirect
196. #11718432	C₂²	semidirect
197. #11718431	C₂²	semidirect
198. #11718431	C₂²	semidirect
199. D₁₃×#102	C₂²	semidirect
200. D₁₃×#102	C₂²	semidirect
201. #11718428	C₂²	semidirect
202. #11718428	C₂²	semidirect
203. #11718423	C₂²	semidirect
204. #11718423	C₂²	semidirect
213. #41×D₁₃	D₄	semidirect
805. #3035	D₁₃	semidirect
971. C₂×#135	C₂×D₁₃	semidirect
972. C₂×#135	C₂×D₁₃	semidirect
994. #532	C₂×D₁₃	semidirect
1016. C₄×#41	C₂×D₁₃	semidirect
1035. #464	C₂×D₁₃	semidirect
1036. #464	C₂×D₁₃	semidirect
1051. #463	C₂×D₁₃	semidirect
1052. #463	C₂×D₁₃	semidirect
1060. #462	C₂×D₁₃	semidirect
1068. #461	C₂×D₁₃	semidirect
1076. #460	C₂×D₁₃	semidirect
1084. #459	C₂×D₁₃	semidirect
1096. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1115. #416	C₂×D₁₃	semidirect
1116. #416	C₂×D₁₃	semidirect
1760. C₁₃	#60422	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719473	2
C₂×D₁₃×#135	2
#13128163	2
#13128035	2
#13124389	2
#13124387	2
#13124383	2
#13124381	2
#13124378	2
#13124376	2
#13124372	2
#13124370	2
#13124364	2
#13124361	2
#13124355	2
#13124352	2
#13124346	2
#13124343	2
#13124337	2
#13124334	2
#13124293	2
#13124291	2
#13124289	2
#13124287	2
#13124285	2
C₂×#11718500	2
#13123351	2
D₁₃×#416	2
C₁₃×#3035	2
#60422	13