Subgroups — D₁₃×#3313 #16739645

Order 3328.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#548	C₂	1	1	yes	maximal, characteristic
3	#13126909	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126908	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126907	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126906	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126905	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126904	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126903	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126902	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126901	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126900	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126899	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126898	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126897	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126896	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126895	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#477	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#419	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719536	C₂²	1	1	yes	characteristic
37	#11719522	C₂²	1	1	yes	characteristic
38	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719437	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
45	D₁₃×#126	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	#11719407	—	2	1	no	—
48	#11719407	—	2	1	no	—
49	#11719382	—	2	1	no	—
50	#11719382	C₂²	1	1	yes	characteristic
51	D₁₃×#124	—	2	1	no	—
52	D₁₃×#124	—	2	1	no	—
53	D₁₃×#124	C₂²	1	1	yes	characteristic
54	#11719376	—	2	1	no	—
55	#11719346	C₂²	1	1	yes	characteristic, complemented
56	#11719346	C₂²	1	1	yes	characteristic, complemented
57	#11719338	—	2	1	no	—
58	#11719338	C₂²	1	1	yes	characteristic
59	D₁₃×C₂²⋊Q₈	—	2	1	no	—
60	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₁₃×#121	—	2	1	no	—
64	D₁₃×#121	C₂²	1	1	yes	characteristic
65	#11719303	—	2	1	no	—
66	#11719303	C₂²	1	1	yes	characteristic
67	#11719289	C₂²	1	1	yes	characteristic, complemented
68	#11719281	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₁₃	—	2	1	no	—
70	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
71	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
72	#11719273	—	2	1	no	—
73	#11719257	—	2	1	no	—
74	#11719257	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₁₃	—	2	1	no	—
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	#11719247	C₂²	1	1	yes	characteristic, complemented
78	#11719238	C₂²	1	1	yes	characteristic, complemented
79	#11719238	C₂²	1	1	yes	characteristic, complemented
80	D₁₃×#117	C₂²	1	1	yes	characteristic
81	D₁₃×#117	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	#11718886	C₂²	1	1	yes	characteristic, complemented
99	#11718849	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	#11718845	C₂²	1	1	yes	characteristic, complemented
105	#11718835	C₂²	1	1	yes	characteristic, complemented
106	#11718834	C₂²	1	1	yes	characteristic, complemented
107	#11718827	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718788	C₂²	1	1	yes	characteristic, complemented
110	#11718781	C₂²	1	1	yes	characteristic, complemented
111	#11718777	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718752	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718716	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718710	C₂²	1	1	yes	characteristic, complemented
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718706	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718691	C₂²	1	1	yes	characteristic, complemented
127	#11718691	C₂²	1	1	yes	characteristic, complemented
128	#11718689	C₂²	1	1	yes	characteristic, complemented
129	#11718682	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718663	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718549	C₂²	1	1	yes	characteristic, complemented
136	#11718548	C₂²	1	1	yes	characteristic, complemented
137	#11718547	C₂²	1	1	yes	characteristic, complemented
138	#11718546	C₂²	1	1	yes	characteristic, complemented
139	D₁₃×#107	C₂²	1	1	yes	characteristic
140	D₁₃×#107	C₂²	1	1	yes	characteristic
141	#11718536	C₂²	1	1	yes	characteristic, complemented
142	#11718536	C₂²	1	1	yes	characteristic, complemented
143	#11718528	C₂²	1	1	yes	characteristic, complemented
144	#11718527	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#106	C₂²	1	1	yes	characteristic
146	#11718514	C₂²	1	1	yes	characteristic, complemented
147	#11718511	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
151	#11718476	C₂²	1	1	yes	characteristic, complemented
152	#11718475	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic, complemented
154	#11718474	C₂²	1	1	yes	characteristic, complemented
155	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718471	C₂²	1	1	yes	characteristic, complemented
157	#11718469	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	#11718465	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	#11718463	C₂²	1	1	yes	characteristic, complemented
163	#11718463	C₂²	1	1	yes	characteristic, complemented
164	#11718463	C₂²	1	1	yes	characteristic, complemented
165	D₁₃×#103	C₂²	1	1	yes	characteristic
166	D₁₃×#103	C₂²	1	1	yes	characteristic
167	D₁₃×#103	C₂²	1	1	yes	characteristic
168	D₁₃×#103	C₂²	1	1	yes	characteristic
169	D₁₃×#103	C₂²	1	1	yes	characteristic
170	D₁₃×#103	C₂²	1	1	yes	characteristic
171	D₁₃×#103	C₂²	1	1	yes	characteristic
172	#11718459	C₂²	1	1	yes	characteristic, complemented
173	#11718456	C₂²	1	1	yes	characteristic, complemented
174	#11718456	C₂²	1	1	yes	characteristic, complemented
175	#11718455	C₂²	1	1	yes	characteristic, complemented
176	#11718455	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718444	C₂²	1	1	yes	characteristic, complemented
181	#11718441	C₂²	1	1	yes	characteristic, complemented
182	#11718440	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	#11718433	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718428	C₂²	1	1	yes	characteristic, complemented
189	#11718426	C₂²	1	1	yes	characteristic, complemented
190	#11718426	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718398	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718391	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718377	C₂²	1	1	yes	characteristic, complemented
200	#11718375	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	—	2	4	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	—	2	1	no	—
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#124	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	#88201	—	2	1	no	—
257	#88201	—	2	1	no	—
258	#88201	C₂³	1	1	yes	characteristic
259	#88200	—	2	1	no	—
260	#88200	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	—	2	1	no	—
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
266	#88198	—	2	1	no	—
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6106	C₂³	1	1	yes	characteristic
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88192	—	2	1	no	—
276	#88192	C₂³	1	1	yes	characteristic
277	#88190	—	2	1	no	—
278	#88190	—	2	1	no	—
279	#88190	C₂³	1	1	yes	characteristic
280	D₄×Dic₁₃	—	2	1	no	—
281	D₄×Dic₁₃	D₄	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	#88184	—	2	1	no	—
284	#88184	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₁₃	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
289	#88180	C₂³	1	1	yes	characteristic
290	#88180	C₂³	1	1	yes	characteristic
291	#88178	—	2	1	no	—
292	#88178	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂×#6099	C₂³	1	1	yes	characteristic
296	C₂²×#1055	C₂³	1	1	yes	characteristic
297	Q₁₆×D₁₃	—	2	4	no	—
298	Q₁₆×D₁₃	—	4	2	no	—
299	SD₁₆×D₁₃	—	4	2	no	—
300	M₁₆×D₁₃	—	4	2	no	—
301	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
302	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×#6094	C₂³	1	1	yes	characteristic
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₁₃	—	4	2	no	—
307	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	#88152	—	2	1	no	—
314	#88152	—	2	1	no	—
315	#88152	—	2	1	no	—
316	#88152	—	2	1	no	—
317	#88152	—	2	1	no	—
318	#88152	—	2	1	no	—
319	#88151	—	2	1	no	—
320	#88151	C₂³	1	1	yes	characteristic
321	#88151	C₂³	1	1	yes	characteristic
322	#88151	C₂³	1	1	yes	characteristic
323	#88150	—	2	1	no	—
324	#88150	—	2	1	no	—
325	#88150	—	2	1	no	—
326	#88150	—	2	1	no	—
327	#88150	—	2	1	no	—
328	#88149	—	2	1	no	—
329	#88149	C₂³	1	1	yes	characteristic
330	#88147	—	2	1	no	—
331	#88147	D₄	1	1	yes	characteristic
332	#88146	C₂³	1	1	yes	characteristic
333	#88146	C₂³	1	1	yes	characteristic
334	#88146	C₂³	1	1	yes	characteristic
335	#88146	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	—	2	1	no	—
337	C₄⋊C₄×D₁₃	—	2	1	no	—
338	C₄⋊C₄×D₁₃	—	2	1	no	—
339	C₄⋊C₄×D₁₃	—	2	1	no	—
340	C₄⋊C₄×D₁₃	—	2	1	no	—
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
347	#88142	—	2	1	no	—
348	#88142	C₂³	1	1	yes	characteristic
349	#88142	C₂³	1	1	yes	characteristic
350	#88141	—	2	1	no	—
351	#88141	—	2	1	no	—
352	#88141	—	2	1	no	—
353	#88141	—	2	1	no	—
354	#88141	—	2	1	no	—
355	#88141	C₂³	1	1	yes	characteristic
356	#88141	C₂³	1	1	yes	characteristic
357	#88139	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88139	—	2	1	no	—
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88138	—	2	1	no	—
369	#88138	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	#88135	D₄	1	1	yes	characteristic
373	#88135	D₄	1	1	yes	characteristic
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
383	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
384	#88133	—	2	1	no	—
385	#88133	—	2	1	no	—
386	#88133	—	2	1	no	—
387	#88133	—	2	1	no	—
388	#88133	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88132	—	2	1	no	—
391	#88132	—	2	1	no	—
392	#88132	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88131	—	2	1	no	—
396	#88131	—	2	1	no	—
397	#88130	—	2	1	no	—
398	#88130	—	2	1	no	—
399	#88129	—	2	1	no	—
400	#88129	—	2	1	no	—
401	#88129	C₂³	1	1	yes	characteristic
402	C₄×D₅₂	—	2	1	no	—
403	C₄×D₅₂	C₂³	1	1	yes	characteristic
404	#88126	—	2	1	no	—
405	#88126	—	2	1	no	—
406	C₄²×D₁₃	—	2	1	no	—
407	C₄²×D₁₃	—	2	1	no	—
408	C₄²×D₁₃	—	2	1	no	—
409	C₄²×D₁₃	—	2	1	no	—
410	C₄²×D₁₃	C₂³	1	1	yes	characteristic
411	#88123	C₂³	1	1	yes	characteristic
412	C₄×Dic₂₆	—	2	1	no	—
413	C₄×Dic₂₆	—	2	1	no	—
414	C₄×Dic₂₆	—	2	1	no	—
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88060	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88058	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88055	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	C₂×#3313	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₁₃×#41	—	2	2	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	2	no	—
496	C₂×Q₈×C₁₃	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	C₂⁴	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	C₂×D₄	1	1	yes	characteristic
514	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	—	2	1	no	—
517	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
519	#6131	—	2	2	no	—
520	#6131	—	4	1	no	—
521	Q₈×D₁₃	—	2	2	no	—
522	Q₈×D₁₃	—	2	2	no	—
523	Q₈×D₁₃	—	2	2	no	—
524	Q₈×D₁₃	—	2	2	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	Q₈×D₁₃	—	2	2	no	—
527	Q₈×D₁₃	—	2	2	no	—
528	Q₈×D₁₃	—	4	1	no	—
529	Q₈×D₁₃	—	4	1	no	—
530	Q₈×D₁₃	—	4	4	no	—
531	Q₈×D₁₃	—	4	4	no	—
532	Q₈×D₁₃	—	4	4	no	—
533	Q₈×D₁₃	#41	1	4	yes	—
534	#6129	—	2	2	no	—
535	#6129	—	4	1	no	—
536	#6129	—	4	4	no	—
537	D₄×D₁₃	—	2	2	no	—
538	D₄×D₁₃	—	2	2	no	—
539	D₄×D₁₃	—	4	2	no	—
540	D₄×D₁₃	—	4	4	no	—
541	D₄×D₁₃	—	4	4	no	—
542	#6127	—	2	2	no	—
543	#6127	—	4	4	no	—
544	#6127	—	4	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	2	no	—
551	C₂×C₄×D₁₃	—	2	2	no	—
552	C₂×C₄×D₁₃	—	2	2	no	—
553	C₂×C₄×D₁₃	—	2	2	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
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	—	4	4	no	—
565	C₂×C₄×D₁₃	—	4	4	no	—
566	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₂₆	—	2	1	no	—
576	C₂×Dic₂₆	—	2	2	no	—
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	—	2	1	no	—
584	C₂×Dic₂₆	—	2	1	no	—
585	C₂×Dic₂₆	—	4	1	no	—
586	C₂×Dic₂₆	—	4	4	no	—
587	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
590	C₁₃×Q₁₆	—	2	2	no	—
591	C₁₃×Q₁₆	—	4	1	no	—
592	C₁₃×SD₁₆	—	4	1	no	—
593	C₁₃×M₁₆	—	4	1	no	—
594	C₂×C₈×C₁₃	—	4	1	no	—
595	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₁₃	—	2	1	no	—
621	C₄²×C₁₃	—	2	1	no	—
622	C₄²×C₁₃	—	2	1	no	—
623	C₄²×C₁₃	—	2	1	no	—
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	#6107	—	2	2	no	—
636	#6107	—	2	2	no	—
637	#6107	—	4	1	no	—
638	#6107	—	4	1	no	—
639	#6106	—	4	1	no	—
640	#6105	—	4	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	C₂×D₄	1	1	yes	characteristic
658	#6103	C₂×D₄	1	1	yes	characteristic
659	#6103	C₂×D₄	1	1	yes	characteristic
660	#6103	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	—	2	1	no	—
666	C₄⋊Dic₁₃	—	2	1	no	—
667	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	C₂×D₄	1	1	yes	characteristic
689	#6101	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	—	2	1	no	—
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6099	—	4	1	no	—
706	C₂×#1055	—	4	1	no	—
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	Dic₅₂	—	2	2	no	—
712	Dic₅₂	—	4	1	no	—
713	#6095	—	4	1	no	—
714	#6094	—	4	1	no	—
715	#6094	—	4	1	no	—
716	C₈×D₁₃	—	2	2	no	—
717	C₈×D₁₃	—	2	2	no	—
718	C₈×D₁₃	—	2	2	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	4	1	no	—
721	C₈×D₁₃	—	4	1	no	—
722	C₂×#556	—	13	1	no	—
723	C₂×#548	—	13	1	no	—
724	#3313	—	13	1	no	—
725	#3313	—	13	1	no	—
726	#3313	—	13	1	no	—
727	#3313	—	13	1	no	—
728	#3313	—	13	1	no	—
729	#3313	—	13	1	no	—
730	#3313	—	13	1	no	—
731	#3313	—	13	1	no	—
732	#3313	—	13	1	no	—
733	#3313	—	13	1	no	—
734	#3313	—	13	1	no	—
735	#3313	—	13	1	no	—
736	#3313	—	13	1	no	—
737	#3313	—	13	1	no	—
738	#3313	—	13	1	no	—
739	#3313	D₁₃	1	1	yes	characteristic, direct product factor
740	C₂×#489	—	13	1	no	—
741	C₂×#485	—	13	1	no	—
742	C₂×#482	—	13	1	no	—
743	C₂×#477	—	13	1	no	—
744	C₂×#468	—	13	1	no	—
745	C₂×#467	—	13	1	no	—
746	C₂×#464	—	13	1	no	—
747	C₂×#452	—	13	1	no	—
748	C₂×#451	—	13	1	no	—
749	C₂×#441	—	13	1	no	—
750	C₂×#435	—	13	1	no	—
751	C₂×#419	—	13	1	no	—
752	C₂×#416	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	—	2	2	no	—
757	C₂²×D₁₃	—	2	2	no	—
758	C₂²×D₁₃	—	2	2	no	—
759	C₂²×D₁₃	—	2	2	no	—
760	C₂²×D₁₃	—	2	2	no	—
761	C₂²×D₁₃	—	2	2	no	—
762	C₂²×D₁₃	—	2	1	no	—
763	C₂²×D₁₃	—	4	2	no	—
764	C₂²×D₁₃	—	4	2	no	—
765	C₂²×D₁₃	—	4	2	no	—
766	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	2	1	no	—
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	4	2	no	—
775	Q₈×C₁₃	—	4	2	no	—
776	Q₈×C₁₃	C₂×#41	1	2	yes	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	4	1	no	—
780	D₄×C₁₃	—	4	2	no	—
781	D₄×C₁₃	—	4	2	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	4	2	no	—
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₁₃	—	4	1	no	—
801	C₂²⋊D₁₃	—	4	1	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	4	2	no	—
805	C₂²⋊D₁₃	—	4	2	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	2	no	—
809	C₂×Dic₁₃	—	2	2	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	4	2	no	—
817	C₂×Dic₁₃	—	4	2	no	—
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	D₅₂	—	2	1	no	—
824	D₅₂	—	2	1	no	—
825	D₅₂	—	4	1	no	—
826	D₅₂	—	4	2	no	—
827	D₅₂	—	4	2	no	—
828	C₄×D₁₃	—	2	2	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	2	4	no	—
831	C₄×D₁₃	—	2	2	no	—
832	C₄×D₁₃	—	2	2	no	—
833	C₄×D₁₃	—	2	1	no	—
834	C₄×D₁₃	—	2	1	no	—
835	C₄×D₁₃	—	2	1	no	—
836	C₄×D₁₃	—	2	1	no	—
837	C₄×D₁₃	—	2	2	no	—
838	C₄×D₁₃	—	2	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	C₂×#41	1	2	yes	—
850	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
851	Dic₂₆	—	2	1	no	—
852	Dic₂₆	—	2	4	no	—
853	Dic₂₆	—	2	1	no	—
854	Dic₂₆	—	2	1	no	—
855	Dic₂₆	—	2	1	no	—
856	Dic₂₆	—	2	1	no	—
857	Dic₂₆	—	4	2	no	—
858	Dic₂₆	—	4	2	no	—
859	Dic₂₆	—	4	2	no	—
860	Dic₂₆	—	4	2	no	—
861	Dic₂₆	—	4	2	no	—
862	Dic₂₆	—	4	2	no	—
863	Dic₂₆	—	4	2	no	—
864	Dic₂₆	—	4	2	no	—
865	Dic₂₆	C₂×#41	1	2	yes	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	C₈×C₁₃	—	2	1	no	—
869	C₈×C₁₃	—	2	1	no	—
870	#1055	—	2	1	no	—
871	#1055	—	2	1	no	—
872	#1055	—	2	1	no	—
873	#1055	—	2	1	no	—
874	C₂²×#41	—	13	1	no	—
875	C₂³×Q₈	—	13	1	no	—
876	C₂²×Q₁₆	—	13	1	no	—
877	C₂²×Q₁₆	—	13	1	no	—
878	C₂²×SD₁₆	—	13	1	no	—
879	C₂²×M₁₆	—	13	1	no	—
880	C₂³×C₈	—	13	1	no	—
881	#556	—	13	1	no	—
882	#556	—	13	1	no	—
883	#556	—	13	1	no	—
884	#556	—	13	1	no	—
885	#556	—	13	1	no	—
886	#556	—	13	1	no	—
887	#556	—	13	1	no	—
888	#556	—	26	1	no	—
889	#556	—	26	1	no	—
890	#556	—	26	1	no	—
891	#556	—	26	1	no	—
892	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
893	#548	—	13	1	no	—
894	#548	—	13	1	no	—
895	#548	—	13	1	no	—
896	#548	—	13	1	no	—
897	#548	—	13	1	no	—
898	#548	—	13	1	no	—
899	#548	—	13	1	no	—
900	#548	—	26	1	no	—
901	#548	—	26	1	no	—
902	#548	—	26	1	no	—
903	#548	—	26	1	no	—
904	#548	C₂×D₁₃	1	1	yes	characteristic
905	C₂×C₄⋊Q₈	—	13	1	no	—
906	C₂×#126	—	26	1	no	—
907	C₂×#126	—	26	1	no	—
908	C₂×#124	—	13	1	no	—
909	C₂×#124	—	26	1	no	—
910	C₂×#124	—	26	1	no	—
911	C₂×C₂²⋊Q₈	—	13	1	no	—
912	C₂×C₂²⋊Q₈	—	13	1	no	—
913	C₂×C₂²⋊Q₈	—	13	1	no	—
914	C₂×C₂²⋊Q₈	—	26	1	no	—
915	C₂×#121	—	13	1	no	—
916	C₂×#121	—	26	1	no	—
917	C₂×C₄×Q₈	—	13	1	no	—
918	C₂×C₄×Q₈	—	13	1	no	—
919	C₂×C₄×Q₈	—	26	1	no	—
920	C₂×C₄×D₄	—	13	1	no	—
921	C₂×C₄×D₄	—	26	1	no	—
922	C₂×#117	—	13	1	no	—
923	C₂×#117	—	13	1	no	—
924	#489	—	13	1	no	—
925	#489	—	13	1	no	—
926	#489	—	13	1	no	—
927	#489	—	13	1	no	—
928	#489	—	13	1	no	—
929	#489	—	13	1	no	—
930	#489	—	13	1	no	—
931	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#485	—	13	1	no	—
933	#485	—	13	1	no	—
934	#485	—	13	1	no	—
935	#485	—	13	1	no	—
936	#485	—	13	1	no	—
937	#485	—	13	1	no	—
938	#485	—	13	1	no	—
939	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#482	—	13	1	no	—
941	#482	—	13	1	no	—
942	#482	—	13	1	no	—
943	#482	—	13	1	no	—
944	#482	—	13	1	no	—
945	#482	—	13	1	no	—
946	#482	—	13	1	no	—
947	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#477	—	13	1	no	—
949	#477	—	13	1	no	—
950	#477	—	13	1	no	—
951	#477	—	13	1	no	—
952	#477	—	13	1	no	—
953	#477	—	13	1	no	—
954	#477	—	13	1	no	—
955	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#468	—	13	1	no	—
957	#468	—	13	1	no	—
958	#468	—	13	1	no	—
959	#468	—	13	1	no	—
960	#468	—	13	1	no	—
961	#468	—	13	1	no	—
962	#468	—	13	1	no	—
963	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
964	#467	—	13	1	no	—
965	#467	—	13	1	no	—
966	#467	—	13	1	no	—
967	#467	—	13	1	no	—
968	#467	—	13	1	no	—
969	#467	—	13	1	no	—
970	#467	—	13	1	no	—
971	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#464	—	13	1	no	—
973	#464	—	13	1	no	—
974	#464	—	13	1	no	—
975	#464	—	13	1	no	—
976	#464	—	13	1	no	—
977	#464	—	13	1	no	—
978	#464	—	13	1	no	—
979	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#452	—	13	1	no	—
981	#452	—	13	1	no	—
982	#452	—	13	1	no	—
983	#452	—	13	1	no	—
984	#452	—	13	1	no	—
985	#452	—	13	1	no	—
986	#452	—	13	1	no	—
987	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
988	#451	—	13	1	no	—
989	#451	—	13	1	no	—
990	#451	—	13	1	no	—
991	#451	—	13	1	no	—
992	#451	—	13	1	no	—
993	#451	—	13	1	no	—
994	#451	—	13	1	no	—
995	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#441	—	13	1	no	—
997	#441	—	13	1	no	—
998	#441	—	13	1	no	—
999	#441	—	13	1	no	—
1000	#441	—	13	1	no	—
1001	#441	—	13	1	no	—
1002	#441	—	13	1	no	—
1003	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#435	—	13	1	no	—
1005	#435	—	13	1	no	—
1006	#435	—	13	1	no	—
1007	#435	—	13	1	no	—
1008	#435	—	13	1	no	—
1009	#435	—	13	1	no	—
1010	#435	—	13	1	no	—
1011	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	C₂×#107	—	13	1	no	—
1013	C₂×#107	—	13	1	no	—
1014	C₂×#106	—	13	1	no	—
1015	C₂×C₄⋊C₈	—	13	1	no	—
1016	#419	—	13	1	no	—
1017	#419	—	13	1	no	—
1018	#419	—	13	1	no	—
1019	#419	—	13	1	no	—
1020	#419	—	13	1	no	—
1021	#419	—	13	1	no	—
1022	#419	—	13	1	no	—
1023	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#416	—	13	1	no	—
1025	#416	—	13	1	no	—
1026	#416	—	13	1	no	—
1027	#416	—	13	1	no	—
1028	#416	—	13	1	no	—
1029	#416	—	13	1	no	—
1030	#416	—	13	1	no	—
1031	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1032	C₂×#103	—	13	1	no	—
1033	C₂×#103	—	13	1	no	—
1034	C₂×#103	—	13	1	no	—
1035	C₂×#103	—	13	1	no	—
1036	C₂×#103	—	13	1	no	—
1037	C₂×#103	—	13	1	no	—
1038	C₂×#103	—	13	1	no	—
1039	C₂×#102	—	13	1	no	—
1040	C₂×#102	—	13	1	no	—
1041	C₂×#102	—	13	1	no	—
1042	C₂×C₂²⋊C₈	—	13	1	no	—
1043	C₂×C₂²⋊C₈	—	13	1	no	—
1044	C₂×#97	—	13	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	2	1	no	—
1048	C₂²×C₁₃	—	2	1	no	—
1049	C₂²×C₁₃	—	2	1	no	—
1050	C₂²×C₁₃	—	2	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	4	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	2	1	no	—
1057	C₂×D₁₃	—	2	1	no	—
1058	C₂×D₁₃	—	2	1	no	—
1059	C₂×D₁₃	—	2	1	no	—
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	4	4	no	—
1062	C₂×D₁₃	—	4	4	no	—
1063	C₂×D₁₃	—	4	1	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	8	4	no	—
1067	C₂×D₁₃	#546	1	2	yes	—
1068	C₂×D₁₃	#575	1	2	yes	—
1069	C₂×D₁₃	#578	1	2	yes	—
1070	C₄×C₁₃	—	2	2	no	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	2	1	no	—
1074	C₄×C₁₃	—	2	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	—	4	1	no	—
1078	C₄×C₁₃	—	4	1	no	—
1079	C₄×C₁₃	—	4	1	no	—
1080	C₄×C₁₃	—	4	1	no	—
1081	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1082	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1083	Dic₁₃	—	2	2	no	—
1084	Dic₁₃	—	2	1	no	—
1085	Dic₁₃	—	2	1	no	—
1086	Dic₁₃	—	2	1	no	—
1087	Dic₁₃	—	2	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	—	4	1	no	—
1090	Dic₁₃	—	4	1	no	—
1091	Dic₁₃	—	4	1	no	—
1092	Dic₁₃	—	4	1	no	—
1093	Dic₁₃	—	4	1	no	—
1094	Dic₁₃	#546	1	2	yes	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	13	1	no	—
1097	C₂×#41	—	13	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	—	26	1	no	—
1100	C₂×#41	—	26	4	no	—
1101	C₂×#41	—	52	2	no	—
1102	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂²×Q₈	—	13	1	no	—
1104	C₂²×Q₈	—	13	1	no	—
1105	C₂²×Q₈	—	13	1	no	—
1106	C₂²×Q₈	—	13	1	no	—
1107	C₂²×Q₈	—	13	1	no	—
1108	C₂²×Q₈	—	13	1	no	—
1109	C₂²×Q₈	—	26	1	no	—
1110	C₂²×Q₈	—	26	1	no	—
1111	C₂²×Q₈	—	26	1	no	—
1112	C₂²×Q₈	—	26	1	no	—
1113	C₂²×Q₈	—	26	4	no	—
1114	C₂²×Q₈	—	52	2	no	—
1115	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂²×D₄	—	13	1	no	—
1117	C₂²×D₄	—	13	1	no	—
1118	C₂²×D₄	—	26	1	no	—
1119	C₂²×D₄	—	26	1	no	—
1120	C₂³×C₄	—	13	1	no	—
1121	C₂³×C₄	—	13	1	no	—
1122	C₂³×C₄	—	26	1	no	—
1123	C₂³×C₄	—	26	1	no	—
1124	C₂×Q₁₆	—	13	1	no	—
1125	C₂×Q₁₆	—	13	1	no	—
1126	C₂×Q₁₆	—	13	1	no	—
1127	C₂×Q₁₆	—	13	1	no	—
1128	C₂×Q₁₆	—	13	1	no	—
1129	C₂×Q₁₆	—	13	1	no	—
1130	C₂×Q₁₆	—	26	4	no	—
1131	C₂×Q₁₆	—	52	2	no	—
1132	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×SD₁₆	—	13	1	no	—
1135	C₂×SD₁₆	—	13	1	no	—
1136	C₂×SD₁₆	—	13	1	no	—
1137	C₂×SD₁₆	—	52	2	no	—
1138	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×M₁₆	—	13	1	no	—
1140	C₂×M₁₆	—	13	1	no	—
1141	C₂×M₁₆	—	13	1	no	—
1142	C₂×M₁₆	—	52	2	no	—
1143	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂²×C₈	—	13	1	no	—
1145	C₂²×C₈	—	13	1	no	—
1146	C₂²×C₈	—	13	1	no	—
1147	C₂²×C₈	—	13	1	no	—
1148	C₂²×C₈	—	13	1	no	—
1149	C₂²×C₈	—	13	1	no	—
1150	C₂²×C₈	—	13	1	no	—
1151	C₂²×C₈	—	52	2	no	—
1152	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1153	C₄⋊Q₈	—	13	1	no	—
1154	C₄⋊Q₈	—	13	1	no	—
1155	C₄⋊Q₈	—	13	1	no	—
1156	C₄⋊Q₈	—	26	1	no	—
1157	C₄⋊Q₈	—	26	1	no	—
1158	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1159	#126	—	2	1	no	—
1160	#126	—	2	1	no	—
1161	#126	—	26	1	no	—
1162	#126	—	26	1	no	—
1163	#126	—	26	1	no	—
1164	#126	—	26	1	no	—
1165	#126	—	26	1	no	—
1166	#126	—	26	1	no	—
1167	#126	—	26	1	no	—
1168	#126	—	26	1	no	—
1169	#126	—	26	1	no	—
1170	#126	—	26	1	no	—
1171	#126	—	26	1	no	—
1172	#126	—	26	1	no	—
1173	#126	—	26	1	no	—
1174	#126	—	26	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	13	1	no	—
1178	#124	—	13	1	no	—
1179	#124	—	13	1	no	—
1180	#124	—	26	1	no	—
1181	#124	—	26	1	no	—
1182	#124	—	26	1	no	—
1183	#124	—	26	1	no	—
1184	#124	—	26	1	no	—
1185	#124	—	26	1	no	—
1186	#124	—	26	1	no	—
1187	#124	—	26	1	no	—
1188	#124	—	26	1	no	—
1189	#124	—	26	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#124	—	26	1	no	—
1193	#124	—	26	1	no	—
1194	#124	—	26	1	no	—
1195	#124	—	26	1	no	—
1196	#124	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	13	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	13	1	no	—
1205	C₂²⋊Q₈	—	13	1	no	—
1206	C₂²⋊Q₈	—	13	1	no	—
1207	C₂²⋊Q₈	—	26	1	no	—
1208	C₂²⋊Q₈	—	26	1	no	—
1209	C₂²⋊Q₈	—	26	1	no	—
1210	C₂²⋊Q₈	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1223	#121	—	2	1	no	—
1224	#121	—	13	1	no	—
1225	#121	—	13	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	C₂²×D₁₃	1	1	yes	characteristic
1237	C₄×Q₈	—	2	1	no	—
1238	C₄×Q₈	—	13	1	no	—
1239	C₄×Q₈	—	13	1	no	—
1240	C₄×Q₈	—	13	1	no	—
1241	C₄×Q₈	—	13	1	no	—
1242	C₄×Q₈	—	13	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×Q₈	—	26	1	no	—
1245	C₄×Q₈	—	26	1	no	—
1246	C₄×Q₈	—	26	1	no	—
1247	C₄×Q₈	—	26	1	no	—
1248	C₄×Q₈	—	26	1	no	—
1249	C₄×Q₈	—	26	1	no	—
1250	C₄×Q₈	—	26	1	no	—
1251	C₄×Q₈	—	26	1	no	—
1252	C₄×Q₈	—	26	1	no	—
1253	C₄×Q₈	—	26	1	no	—
1254	C₄×Q₈	—	26	1	no	—
1255	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1256	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1273	#117	—	13	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	13	1	no	—
1276	#117	—	13	1	no	—
1277	#117	—	13	1	no	—
1278	#117	—	13	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	—	26	1	no	—
1282	#117	—	26	1	no	—
1283	#117	C₂²×D₁₃	1	1	yes	characteristic
1284	#117	C₂²×D₁₃	1	1	yes	characteristic
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	26	1	no	—
1291	C₂×C₄⋊C₄	—	26	1	no	—
1292	C₂×C₄⋊C₄	—	26	1	no	—
1293	C₂×C₄⋊C₄	—	26	1	no	—
1294	C₂×C₄⋊C₄	—	26	1	no	—
1295	C₂×C₄⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	13	1	no	—
1297	C₂×C₂²⋊C₄	—	13	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₂²⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	26	1	no	—
1304	C₂×C₂²⋊C₄	—	26	1	no	—
1305	C₂×C₂²⋊C₄	—	26	1	no	—
1306	C₂×C₄²	—	13	1	no	—
1307	C₂×C₄²	—	26	1	no	—
1308	C₂×C₄²	—	26	1	no	—
1309	C₂×C₄²	—	26	1	no	—
1310	C₂×C₄²	—	26	1	no	—
1311	#107	—	13	1	no	—
1312	#107	—	13	1	no	—
1313	#107	—	13	1	no	—
1314	#107	—	13	1	no	—
1315	#107	—	13	1	no	—
1316	#107	—	13	1	no	—
1317	#107	C₂²×D₁₃	1	1	yes	characteristic
1318	#107	C₂²×D₁₃	1	1	yes	characteristic
1319	#106	—	13	1	no	—
1320	#106	—	13	1	no	—
1321	#106	—	13	1	no	—
1322	#106	C₂²×D₁₃	1	1	yes	characteristic
1323	C₄⋊C₈	—	13	1	no	—
1324	C₄⋊C₈	—	13	1	no	—
1325	C₄⋊C₈	—	13	1	no	—
1326	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	C₂²×D₁₃	1	1	yes	characteristic
1349	#103	C₂²×D₁₃	1	1	yes	characteristic
1350	#103	C₂²×D₁₃	1	1	yes	characteristic
1351	#103	C₂²×D₁₃	1	1	yes	characteristic
1352	#103	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	C₂²×D₁₃	1	1	yes	characteristic
1354	#103	C₂²×D₁₃	1	1	yes	characteristic
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	C₂²⋊C₈	—	13	1	no	—
1368	C₂²⋊C₈	—	13	1	no	—
1369	C₂²⋊C₈	—	13	1	no	—
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	—	13	1	no	—
1372	C₂²⋊C₈	—	13	1	no	—
1373	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1375	#97	—	13	1	no	—
1376	#97	—	13	1	no	—
1377	#97	—	13	1	no	—
1378	#97	C₂²×D₁₃	1	1	yes	characteristic
1379	C₂×C₁₃	—	4	1	no	—
1380	C₂×C₁₃	—	4	1	no	—
1381	C₂×C₁₃	—	8	1	no	—
1382	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1383	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1384	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1385	D₁₃	—	4	1	no	—
1386	D₁₃	—	4	1	no	—
1387	D₁₃	—	8	1	no	—
1388	D₁₃	#3313	1	4	yes	direct product factor
1389	C₂⁴	—	13	1	no	—
1390	C₂⁴	—	13	1	no	—
1391	C₂⁴	—	26	1	no	—
1392	#41	—	2	2	no	—
1393	#41	—	4	1	no	—
1394	#41	—	26	2	no	—
1395	#41	—	26	2	no	—
1396	#41	—	26	2	no	—
1397	#41	—	52	1	no	—
1398	#41	—	52	4	no	—
1399	#41	—	52	1	no	—
1400	#41	—	52	4	no	—
1401	#41	—	52	1	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	1	no	—
1404	C₂×Q₈	—	2	2	no	—
1405	C₂×Q₈	—	4	1	no	—
1406	C₂×Q₈	—	13	4	no	—
1407	C₂×Q₈	—	13	1	no	—
1408	C₂×Q₈	—	13	1	no	—
1409	C₂×Q₈	—	13	1	no	—
1410	C₂×Q₈	—	26	1	no	—
1411	C₂×Q₈	—	26	1	no	—
1412	C₂×Q₈	—	26	1	no	—
1413	C₂×Q₈	—	26	1	no	—
1414	C₂×Q₈	—	26	1	no	—
1415	C₂×Q₈	—	26	1	no	—
1416	C₂×Q₈	—	26	1	no	—
1417	C₂×Q₈	—	26	2	no	—
1418	C₂×Q₈	—	26	2	no	—
1419	C₂×Q₈	—	26	2	no	—
1420	C₂×Q₈	—	26	2	no	—
1421	C₂×Q₈	—	26	2	no	—
1422	C₂×Q₈	—	26	2	no	—
1423	C₂×Q₈	—	26	1	no	—
1424	C₂×Q₈	—	26	1	no	—
1425	C₂×Q₈	—	26	2	no	—
1426	C₂×Q₈	—	26	2	no	—
1427	C₂×Q₈	—	52	1	no	—
1428	C₂×Q₈	—	52	4	no	—
1429	C₂×Q₈	—	52	4	no	—
1430	C₂×Q₈	—	52	1	no	—
1431	C₂×Q₈	—	52	1	no	—
1432	C₂×Q₈	—	52	4	no	—
1433	C₂×Q₈	—	52	4	no	—
1434	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1436	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	13	1	no	—
1440	C₂×D₄	—	13	1	no	—
1441	C₂×D₄	—	13	1	no	—
1442	C₂×D₄	—	13	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	2	no	—
1446	C₂×D₄	—	26	2	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	52	2	no	—
1453	C₂×D₄	—	52	4	no	—
1454	C₂×D₄	—	52	4	no	—
1455	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1456	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	13	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	13	1	no	—
1465	C₂²×C₄	—	13	1	no	—
1466	C₂²×C₄	—	13	1	no	—
1467	C₂²×C₄	—	13	1	no	—
1468	C₂²×C₄	—	13	1	no	—
1469	C₂²×C₄	—	13	1	no	—
1470	C₂²×C₄	—	26	2	no	—
1471	C₂²×C₄	—	26	2	no	—
1472	C₂²×C₄	—	26	2	no	—
1473	C₂²×C₄	—	26	2	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	52	4	no	—
1488	C₂²×C₄	—	52	4	no	—
1489	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1491	Q₁₆	—	2	2	no	—
1492	Q₁₆	—	4	1	no	—
1493	Q₁₆	—	26	2	no	—
1494	Q₁₆	—	26	2	no	—
1495	Q₁₆	—	26	2	no	—
1496	Q₁₆	—	52	1	no	—
1497	Q₁₆	—	52	1	no	—
1498	Q₁₆	—	52	1	no	—
1499	SD₁₆	—	4	1	no	—
1500	SD₁₆	—	52	1	no	—
1501	SD₁₆	—	52	1	no	—
1502	SD₁₆	—	52	1	no	—
1503	M₁₆	—	4	1	no	—
1504	M₁₆	—	52	1	no	—
1505	M₁₆	—	52	1	no	—
1506	M₁₆	—	52	1	no	—
1507	C₂×C₈	—	4	1	no	—
1508	C₂×C₈	—	13	1	no	—
1509	C₂×C₈	—	13	1	no	—
1510	C₂×C₈	—	13	1	no	—
1511	C₂×C₈	—	13	1	no	—
1512	C₂×C₈	—	26	2	no	—
1513	C₂×C₈	—	26	2	no	—
1514	C₂×C₈	—	26	2	no	—
1515	C₂×C₈	—	26	2	no	—
1516	C₂×C₈	—	52	1	no	—
1517	C₂×C₈	—	52	1	no	—
1518	C₂×C₈	—	52	1	no	—
1519	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1520	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1521	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	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	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	—	26	1	no	—
1558	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	13	1	no	—
1574	C₂²⋊C₄	—	13	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	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	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1602	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1603	C₄²	—	2	1	no	—
1604	C₄²	—	2	1	no	—
1605	C₄²	—	2	1	no	—
1606	C₄²	—	2	1	no	—
1607	C₄²	—	13	1	no	—
1608	C₄²	—	13	1	no	—
1609	C₄²	—	13	1	no	—
1610	C₄²	—	26	1	no	—
1611	C₄²	—	26	1	no	—
1612	C₄²	—	26	1	no	—
1613	C₄²	—	26	1	no	—
1614	C₄²	—	26	1	no	—
1615	C₄²	—	26	1	no	—
1616	C₄²	—	26	1	no	—
1617	C₄²	—	26	1	no	—
1618	C₄²	—	26	1	no	—
1619	C₄²	—	26	1	no	—
1620	C₄²	—	26	1	no	—
1621	C₄²	—	26	1	no	—
1622	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1623	C₁₃	C₂×#3313	1	1	yes	characteristic, complemented, Sylow
1624	C₂³	—	2	1	no	—
1625	C₂³	—	13	1	no	—
1626	C₂³	—	13	1	no	—
1627	C₂³	—	13	1	no	—
1628	C₂³	—	26	2	no	—
1629	C₂³	—	26	2	no	—
1630	C₂³	—	26	2	no	—
1631	C₂³	—	26	2	no	—
1632	C₂³	—	26	2	no	—
1633	C₂³	—	26	2	no	—
1634	C₂³	—	26	1	no	—
1635	C₂³	—	52	2	no	—
1636	C₂³	—	52	2	no	—
1637	C₂³	—	52	2	no	—
1638	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1639	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1640	Q₈	—	2	1	no	—
1641	Q₈	—	2	1	no	—
1642	Q₈	—	2	1	no	—
1643	Q₈	—	2	1	no	—
1644	Q₈	—	2	1	no	—
1645	Q₈	—	4	2	no	—
1646	Q₈	—	4	2	no	—
1647	Q₈	—	13	2	no	—
1648	Q₈	—	26	4	no	—
1649	Q₈	—	26	1	no	—
1650	Q₈	—	26	1	no	—
1651	Q₈	—	26	1	no	—
1652	Q₈	—	26	1	no	—
1653	Q₈	—	26	1	no	—
1654	Q₈	—	52	2	no	—
1655	Q₈	—	52	2	no	—
1656	Q₈	—	52	2	no	—
1657	Q₈	—	52	2	no	—
1658	Q₈	—	52	2	no	—
1659	Q₈	—	52	2	no	—
1660	Q₈	—	52	2	no	—
1661	Q₈	—	52	2	no	—
1662	Q₈	#41×D₁₃	1	2	yes	—
1663	D₄	—	2	1	no	—
1664	D₄	—	2	1	no	—
1665	D₄	—	4	1	no	—
1666	D₄	—	4	2	no	—
1667	D₄	—	4	2	no	—
1668	D₄	—	26	1	no	—
1669	D₄	—	26	1	no	—
1670	D₄	—	52	1	no	—
1671	D₄	—	52	2	no	—
1672	D₄	—	52	2	no	—
1673	D₄	—	52	2	no	—
1674	D₄	—	52	1	no	—
1675	D₄	—	52	1	no	—
1676	D₄	—	52	2	no	—
1677	D₄	—	52	2	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	2	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	4	2	no	—
1692	C₂×C₄	—	4	2	no	—
1693	C₂×C₄	—	13	1	no	—
1694	C₂×C₄	—	13	2	no	—
1695	C₂×C₄	—	13	2	no	—
1696	C₂×C₄	—	13	1	no	—
1697	C₂×C₄	—	13	1	no	—
1698	C₂×C₄	—	13	1	no	—
1699	C₂×C₄	—	13	1	no	—
1700	C₂×C₄	—	26	2	no	—
1701	C₂×C₄	—	26	2	no	—
1702	C₂×C₄	—	26	2	no	—
1703	C₂×C₄	—	26	2	no	—
1704	C₂×C₄	—	26	2	no	—
1705	C₂×C₄	—	26	2	no	—
1706	C₂×C₄	—	26	4	no	—
1707	C₂×C₄	—	26	2	no	—
1708	C₂×C₄	—	26	2	no	—
1709	C₂×C₄	—	26	1	no	—
1710	C₂×C₄	—	26	1	no	—
1711	C₂×C₄	—	26	1	no	—
1712	C₂×C₄	—	26	1	no	—
1713	C₂×C₄	—	26	1	no	—
1714	C₂×C₄	—	26	1	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	52	2	no	—
1721	C₂×C₄	—	52	2	no	—
1722	C₂×C₄	—	52	2	no	—
1723	C₂×C₄	—	52	2	no	—
1724	C₂×C₄	—	52	2	no	—
1725	C₂×C₄	—	52	2	no	—
1726	C₂×C₄	—	52	2	no	—
1727	C₂×C₄	—	52	2	no	—
1728	C₂×C₄	—	52	2	no	—
1729	C₂×C₄	—	52	2	no	—
1730	C₂×C₄	—	52	2	no	—
1731	C₂×C₄	—	52	2	no	—
1732	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1733	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1734	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1735	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1736	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1737	C₈	—	2	1	no	—
1738	C₈	—	2	1	no	—
1739	C₈	—	2	1	no	—
1740	C₈	—	2	1	no	—
1741	C₈	—	26	1	no	—
1742	C₈	—	26	1	no	—
1743	C₈	—	26	1	no	—
1744	C₈	—	26	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	4	1	no	—
1754	C₂²	—	13	2	no	—
1755	C₂²	—	13	2	no	—
1756	C₂²	—	13	2	no	—
1757	C₂²	—	26	1	no	—
1758	C₂²	—	26	1	no	—
1759	C₂²	—	26	1	no	—
1760	C₂²	—	26	1	no	—
1761	C₂²	—	26	1	no	—
1762	C₂²	—	26	1	no	—
1763	C₂²	—	52	4	no	—
1764	C₂²	—	52	4	no	—
1765	C₂²	—	52	1	no	—
1766	C₂²	—	52	1	no	—
1767	C₂²	—	52	1	no	—
1768	C₂²	—	104	4	no	—
1769	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	2	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	13	2	no	—
1782	C₄	—	26	1	no	—
1783	C₄	—	26	1	no	—
1784	C₄	—	26	2	no	—
1785	C₄	—	26	1	no	—
1786	C₄	—	26	1	no	—
1787	C₄	—	52	1	no	—
1788	C₄	—	52	1	no	—
1789	C₄	—	52	1	no	—
1790	C₄	—	52	1	no	—
1791	C₄	—	52	1	no	—
1792	C₄	—	52	1	no	—
1793	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1794	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1795	C₂	—	4	1	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	8	1	no	—
1798	C₂	—	13	4	no	—
1799	C₂	—	52	1	no	—
1800	C₂	—	52	1	no	—
1801	C₂	—	104	1	no	—
1802	C₂	D₁₃×#546	1	1	yes	characteristic
1803	C₂	D₁₃×#575	1	1	yes	characteristic
1804	C₂	D₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3313	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#548	C₂
hypercenter	#3313	D₁₃
hypocenter	C₁₃	C₂×#3313
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3313

Complements

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

N	H ≅ G/N	type
1. D₁₃×#556	C₂	semidirect
3. #13126909	C₂	semidirect
4. #13126908	C₂	semidirect
5. #13126907	C₂	semidirect
6. #13126906	C₂	semidirect
7. #13126905	C₂	semidirect
8. #13126904	C₂	semidirect
9. #13126903	C₂	semidirect
10. #13126902	C₂	semidirect
11. #13126901	C₂	semidirect
12. #13126900	C₂	semidirect
13. #13126899	C₂	semidirect
14. #13126898	C₂	semidirect
15. #13126897	C₂	semidirect
16. #13126896	C₂	semidirect
17. #13126895	C₂	semidirect
18. D₁₃×#489	C₂	semidirect
19. D₁₃×#485	C₂	semidirect
20. D₁₃×#482	C₂	semidirect
21. D₁₃×#477	C₂	semidirect
22. D₁₃×#468	C₂	semidirect
23. D₁₃×#467	C₂	semidirect
24. D₁₃×#464	C₂	semidirect
25. D₁₃×#452	C₂	semidirect
26. D₁₃×#451	C₂	semidirect
27. D₁₃×#441	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#419	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3313	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
43. #11719437	C₂²	semidirect
55. #11719346	C₂²	semidirect
56. #11719346	C₂²	semidirect
67. #11719289	C₂²	semidirect
77. #11719247	C₂²	semidirect
78. #11719238	C₂²	semidirect
79. #11719238	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#419	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. #11718886	C₂²	semidirect
99. #11718849	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718847	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718845	C₂²	semidirect
105. #11718835	C₂²	semidirect
106. #11718834	C₂²	semidirect
107. #11718827	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718788	C₂²	semidirect
110. #11718781	C₂²	semidirect
111. #11718777	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718752	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718716	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718710	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718706	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718691	C₂²	semidirect
127. #11718691	C₂²	semidirect
128. #11718689	C₂²	semidirect
129. #11718682	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718663	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718549	C₂²	semidirect
136. #11718548	C₂²	semidirect
137. #11718547	C₂²	semidirect
138. #11718546	C₂²	semidirect
141. #11718536	C₂²	semidirect
142. #11718536	C₂²	semidirect
143. #11718528	C₂²	semidirect
144. #11718527	C₂²	semidirect
146. #11718514	C₂²	semidirect
147. #11718511	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718497	C₂²	semidirect
151. #11718476	C₂²	semidirect
152. #11718475	C₂²	semidirect
153. #11718474	C₂²	semidirect
154. #11718474	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718471	C₂²	semidirect
157. #11718469	C₂²	semidirect
158. #11718469	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. #11718465	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. #11718463	C₂²	semidirect
163. #11718463	C₂²	semidirect
164. #11718463	C₂²	semidirect
172. #11718459	C₂²	semidirect
173. #11718456	C₂²	semidirect
174. #11718456	C₂²	semidirect
175. #11718455	C₂²	semidirect
176. #11718455	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718445	C₂²	semidirect
180. #11718444	C₂²	semidirect
181. #11718441	C₂²	semidirect
182. #11718440	C₂²	semidirect
183. #11718433	C₂²	semidirect
184. #11718433	C₂²	semidirect
188. #11718428	C₂²	semidirect
189. #11718426	C₂²	semidirect
190. #11718426	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718398	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718391	C₂²	semidirect
195. #11718389	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718377	C₂²	semidirect
200. #11718375	C₂²	semidirect
201. #11718367	C₂²	semidirect
739. #3313	D₁₃	direct (N × H)
892. #556	C₂×D₁₃	semidirect
931. #489	C₂×D₁₃	semidirect
939. #485	C₂×D₁₃	semidirect
947. #482	C₂×D₁₃	semidirect
955. #477	C₂×D₁₃	semidirect
963. #468	C₂×D₁₃	semidirect
971. #467	C₂×D₁₃	semidirect
979. #464	C₂×D₁₃	semidirect
987. #452	C₂×D₁₃	semidirect
995. #451	C₂×D₁₃	semidirect
1003. #441	C₂×D₁₃	semidirect
1011. #435	C₂×D₁₃	semidirect
1023. #419	C₂×D₁₃	semidirect
1031. #416	C₂×D₁₃	semidirect
1388. D₁₃	#3313	direct (N × H)
1623. C₁₃	C₂×#3313	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#556	2
D₁₃×#548	2
#13126909	2
#13126908	2
#13126907	2
#13126906	2
#13126905	2
#13126904	2
#13126903	2
#13126902	2
#13126901	2
#13126900	2
#13126899	2
#13126898	2
#13126897	2
#13126896	2
#13126895	2
D₁₃×#489	2
D₁₃×#485	2
D₁₃×#482	2
D₁₃×#477	2
D₁₃×#468	2
D₁₃×#467	2
D₁₃×#464	2
D₁₃×#452	2
D₁₃×#451	2
D₁₃×#441	2
D₁₃×#435	2
D₁₃×#419	2
D₁₃×#416	2
C₁₃×#3313	2
C₂×#3313	13

Subgroups — D13×#3313 #16739645

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3313 #16739645