Subgroups — D₁₃×#3307 #16739549

Order 3328.

2190 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126819	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126818	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126817	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126816	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126815	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126814	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126813	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126812	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126811	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126810	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126809	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126808	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126807	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126806	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126805	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#491	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#483	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#461	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3307	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	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
36	#11719529	C₂²	1	1	yes	characteristic, complemented
37	#11719529	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₈×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	#11719431	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
45	#11719414	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	#11719400	C₂²	1	1	yes	characteristic, complemented
48	D₁₃×#125	C₂²	1	1	yes	characteristic
49	#11719366	—	2	1	no	—
50	#11719360	—	2	1	no	—
51	#11719360	—	2	1	no	—
52	D₁₃×#123	—	2	1	no	—
53	D₁₃×#123	—	2	1	no	—
54	D₁₃×#123	—	2	1	no	—
55	#11719336	C₂²	1	1	yes	characteristic, complemented
56	#11719336	C₂²	1	1	yes	characteristic, complemented
57	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	#11719323	C₂²	1	1	yes	characteristic, complemented
60	#11719319	C₂²	1	1	yes	characteristic, complemented
61	#11719316	—	2	1	no	—
62	D₁₃×#121	—	2	1	no	—
63	D₁₃×#121	—	2	1	no	—
64	D₁₃×#121	C₂²	1	1	yes	characteristic
65	D₁₃×#121	C₂²	1	1	yes	characteristic
66	#11719306	—	2	1	no	—
67	#11719270	C₂²	1	1	yes	characteristic, complemented
68	#11719263	C₂²	1	1	yes	characteristic, complemented
69	#11719260	C₂²	1	1	yes	characteristic, complemented
70	#11719256	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	—	2	1	no	—
72	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
75	#11719245	—	2	1	no	—
76	#11719235	C₂²	1	1	yes	characteristic, complemented
77	D₁₃×#117	C₂²	1	1	yes	characteristic
78	#11719219	C₂²	1	1	yes	characteristic, complemented
79	#11719212	—	2	1	no	—
80	C₂×C₄⋊C₄×D₁₃	—	2	1	no	—
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
82	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718835	C₂²	1	1	yes	characteristic, complemented
100	#11718833	C₂²	1	1	yes	characteristic, complemented
101	#11718833	C₂²	1	1	yes	characteristic, complemented
102	#11718832	C₂²	1	1	yes	characteristic, complemented
103	#11718823	C₂²	1	1	yes	characteristic, complemented
104	#11718823	C₂²	1	1	yes	characteristic, complemented
105	#11718819	C₂²	1	1	yes	characteristic, complemented
106	#11718819	C₂²	1	1	yes	characteristic, complemented
107	#11718813	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718744	C₂²	1	1	yes	characteristic, complemented
115	#11718743	C₂²	1	1	yes	characteristic, complemented
116	#11718730	C₂²	1	1	yes	characteristic, complemented
117	#11718727	C₂²	1	1	yes	characteristic, complemented
118	#11718710	C₂²	1	1	yes	characteristic, complemented
119	#11718709	C₂²	1	1	yes	characteristic, complemented
120	#11718706	C₂²	1	1	yes	characteristic, complemented
121	#11718704	C₂²	1	1	yes	characteristic, complemented
122	#11718703	C₂²	1	1	yes	characteristic, complemented
123	#11718702	C₂²	1	1	yes	characteristic, complemented
124	#11718698	C₂²	1	1	yes	characteristic, complemented
125	#11718698	C₂²	1	1	yes	characteristic, complemented
126	#11718680	C₂²	1	1	yes	characteristic, complemented
127	#11718675	C₂²	1	1	yes	characteristic, complemented
128	#11718675	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718663	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	#11718632	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718549	C₂²	1	1	yes	characteristic, complemented
137	#11718547	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718530	C₂²	1	1	yes	characteristic, complemented
141	#11718528	C₂²	1	1	yes	characteristic, complemented
142	#11718525	C₂²	1	1	yes	characteristic, complemented
143	#11718523	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#106	C₂²	1	1	yes	characteristic
146	D₁₃×#106	C₂²	1	1	yes	characteristic
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718502	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718479	C₂²	1	1	yes	characteristic, complemented
153	#11718476	C₂²	1	1	yes	characteristic, complemented
154	#11718475	C₂²	1	1	yes	characteristic, complemented
155	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718472	C₂²	1	1	yes	characteristic, complemented
158	#11718468	C₂²	1	1	yes	characteristic, complemented
159	#11718466	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic, complemented
161	#11718465	C₂²	1	1	yes	characteristic, complemented
162	#11718465	C₂²	1	1	yes	characteristic, complemented
163	#11718464	C₂²	1	1	yes	characteristic, complemented
164	#11718464	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	#11718458	C₂²	1	1	yes	characteristic, complemented
172	#11718458	C₂²	1	1	yes	characteristic, complemented
173	#11718458	C₂²	1	1	yes	characteristic, complemented
174	#11718458	C₂²	1	1	yes	characteristic, complemented
175	#11718446	C₂²	1	1	yes	characteristic, complemented
176	#11718446	C₂²	1	1	yes	characteristic, complemented
177	#11718442	C₂²	1	1	yes	characteristic, complemented
178	#11718442	C₂²	1	1	yes	characteristic, complemented
179	#11718441	C₂²	1	1	yes	characteristic, complemented
180	#11718439	C₂²	1	1	yes	characteristic, complemented
181	#11718433	C₂²	1	1	yes	characteristic, complemented
182	#11718433	C₂²	1	1	yes	characteristic, complemented
183	#11718432	C₂²	1	1	yes	characteristic, complemented
184	#11718432	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	D₁₃×#102	C₂²	1	1	yes	characteristic
189	#11718427	C₂²	1	1	yes	characteristic, complemented
190	#11718424	C₂²	1	1	yes	characteristic, complemented
191	#11718395	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic, complemented
195	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718372	C₂²	1	1	yes	characteristic, complemented
200	#11718367	C₂²	1	1	yes	characteristic, complemented
201	D₁₃×#97	C₂²	1	1	yes	characteristic
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	2	4	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	—	2	1	no	—
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	C₂³	1	1	yes	characteristic
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	#88198	C₂³	1	1	yes	characteristic
262	#88198	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	#88193	—	2	1	no	—
266	#88193	—	2	1	no	—
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88192	—	2	1	no	—
272	#88192	—	2	1	no	—
273	#88192	C₂³	1	1	yes	characteristic
274	#88192	C₂³	1	1	yes	characteristic
275	#88189	—	2	1	no	—
276	#88189	—	2	1	no	—
277	#88189	—	2	1	no	—
278	D₄×Dic₁₃	—	2	1	no	—
279	D₄×Dic₁₃	D₄	1	1	yes	characteristic
280	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	C₂×#6105	C₂³	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	C₂×#6104	C₂³	1	1	yes	characteristic
286	#88184	—	2	1	no	—
287	#88184	—	2	1	no	—
288	#88184	C₂³	1	1	yes	characteristic
289	#88184	C₂³	1	1	yes	characteristic
290	#88183	—	2	1	no	—
291	#88183	—	2	1	no	—
292	#88183	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
298	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
299	#88180	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₁₃	—	2	1	no	—
301	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
302	#88178	C₂³	1	1	yes	characteristic
303	#88178	C₂³	1	1	yes	characteristic
304	C₂×#6101	—	2	1	no	—
305	C₂×#6101	—	2	1	no	—
306	C₂×#6101	—	2	1	no	—
307	C₂×#6099	C₂³	1	1	yes	characteristic
308	C₂²×#1055	C₂³	1	1	yes	characteristic
309	SD₁₆×D₁₃	—	4	2	no	—
310	SD₁₆×D₁₃	—	4	2	no	—
311	D₈×D₁₃	—	2	4	no	—
312	M₁₆×D₁₃	—	4	2	no	—
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×#6095	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	—	4	2	no	—
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	#88152	—	2	1	no	—
326	#88152	—	2	1	no	—
327	#88152	—	2	1	no	—
328	#88151	C₂³	1	1	yes	characteristic
329	#88151	C₂³	1	1	yes	characteristic
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88149	—	2	1	no	—
333	#88149	—	2	1	no	—
334	#88149	C₂³	1	1	yes	characteristic
335	#88149	C₂³	1	1	yes	characteristic
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88148	—	2	1	no	—
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88147	—	2	1	no	—
343	#88147	D₄	1	1	yes	characteristic
344	#88147	C₂³	1	1	yes	characteristic
345	#88147	C₂³	1	1	yes	characteristic
346	#88146	C₂³	1	1	yes	characteristic
347	#88146	C₂³	1	1	yes	characteristic
348	C₄⋊C₄×D₁₃	—	2	1	no	—
349	C₄⋊C₄×D₁₃	—	2	1	no	—
350	C₄⋊C₄×D₁₃	—	2	1	no	—
351	C₄⋊C₄×D₁₃	—	2	1	no	—
352	C₄⋊C₄×D₁₃	—	2	1	no	—
353	C₄⋊C₄×D₁₃	—	2	1	no	—
354	C₄⋊C₄×D₁₃	—	2	1	no	—
355	C₄⋊C₄×D₁₃	—	2	1	no	—
356	C₄⋊C₄×D₁₃	—	2	1	no	—
357	C₄⋊C₄×D₁₃	—	2	1	no	—
358	C₄⋊C₄×D₁₃	—	2	1	no	—
359	C₄⋊C₄×D₁₃	—	2	1	no	—
360	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
361	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	#88144	C₂³	1	1	yes	characteristic
368	#88144	C₂³	1	1	yes	characteristic
369	#88143	—	2	1	no	—
370	#88143	—	2	1	no	—
371	#88142	—	2	1	no	—
372	#88142	—	2	1	no	—
373	#88140	—	2	1	no	—
374	#88140	—	2	1	no	—
375	#88140	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88137	—	2	1	no	—
383	#88137	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	D₄	1	1	yes	characteristic
393	#88135	D₄	1	1	yes	characteristic
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	C₂²⋊C₄×D₁₃	—	2	1	no	—
396	C₂²⋊C₄×D₁₃	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
402	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
403	#88133	—	2	1	no	—
404	#88133	—	2	1	no	—
405	#88133	—	2	1	no	—
406	#88132	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88130	—	2	1	no	—
410	C₄×D₅₂	—	2	1	no	—
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	#88126	—	2	1	no	—
415	C₄²×D₁₃	—	2	1	no	—
416	C₄²×D₁₃	C₂³	1	1	yes	characteristic
417	#88124	C₂³	1	1	yes	characteristic
418	#88123	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#102	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	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#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	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#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×#3307	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	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	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
531	#6131	—	2	2	no	—
532	#6131	—	2	2	no	—
533	#6131	—	4	1	no	—
534	#6131	—	4	1	no	—
535	Q₈×D₁₃	—	2	2	no	—
536	Q₈×D₁₃	—	2	2	no	—
537	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	#6129	—	2	2	no	—
540	#6129	—	2	2	no	—
541	#6129	—	4	1	no	—
542	#6129	—	4	1	no	—
543	#6129	—	4	4	no	—
544	#6129	—	4	4	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	2	2	no	—
547	D₄×D₁₃	—	2	2	no	—
548	D₄×D₁₃	—	4	2	no	—
549	D₄×D₁₃	—	4	4	no	—
550	D₄×D₁₃	—	4	4	no	—
551	D₄×D₁₃	—	4	4	no	—
552	D₄×D₁₃	—	8	2	no	—
553	D₄×D₁₃	#41	1	4	yes	—
554	#6127	—	2	2	no	—
555	#6127	—	2	2	no	—
556	#6127	—	4	1	no	—
557	#6127	—	4	1	no	—
558	#6127	—	4	4	no	—
559	#6127	—	4	4	no	—
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	—	2	1	no	—
562	C₂×D₅₂	—	2	1	no	—
563	C₂×D₅₂	—	2	1	no	—
564	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
565	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
566	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₁₃	—	2	2	no	—
568	C₂×C₄×D₁₃	—	2	2	no	—
569	C₂×C₄×D₁₃	—	2	2	no	—
570	C₂×C₄×D₁₃	—	2	2	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	4	4	no	—
588	C₂×C₄×D₁₃	—	4	4	no	—
589	C₂×C₄×D₁₃	—	4	4	no	—
590	C₂×C₄×D₁₃	—	8	2	no	—
591	C₂×C₄×D₁₃	—	8	2	no	—
592	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×SD₁₆	—	4	1	no	—
606	C₁₃×SD₁₆	—	4	1	no	—
607	C₁₃×D₈	—	2	2	no	—
608	C₁₃×M₁₆	—	4	1	no	—
609	C₂×C₈×C₁₃	—	4	1	no	—
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₁₃	—	2	1	no	—
636	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
646	#6106	—	4	1	no	—
647	#6106	—	4	1	no	—
648	#6105	—	4	1	no	—
649	#6105	—	4	1	no	—
650	#6104	—	2	2	no	—
651	#6104	—	2	2	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	#6103	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	—	2	1	no	—
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	—	2	1	no	—
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	C₂×D₄	1	1	yes	characteristic
701	#6101	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	D₁₀₄	—	2	2	no	—
715	#6095	—	4	1	no	—
716	#6095	—	4	1	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₈×D₁₃	—	4	1	no	—
725	C₂×#553	—	13	1	no	—
726	C₂×#547	—	13	1	no	—
727	#3307	—	13	1	no	—
728	#3307	—	13	1	no	—
729	#3307	—	13	1	no	—
730	#3307	—	13	1	no	—
731	#3307	—	13	1	no	—
732	#3307	—	13	1	no	—
733	#3307	—	13	1	no	—
734	#3307	—	13	1	no	—
735	#3307	—	13	1	no	—
736	#3307	—	13	1	no	—
737	#3307	—	13	1	no	—
738	#3307	—	13	1	no	—
739	#3307	—	13	1	no	—
740	#3307	—	13	1	no	—
741	#3307	—	13	1	no	—
742	#3307	D₁₃	1	1	yes	characteristic, direct product factor
743	C₂×#491	—	13	1	no	—
744	C₂×#485	—	13	1	no	—
745	C₂×#483	—	13	1	no	—
746	C₂×#478	—	13	1	no	—
747	C₂×#468	—	13	1	no	—
748	C₂×#465	—	13	1	no	—
749	C₂×#461	—	13	1	no	—
750	C₂×#449	—	13	1	no	—
751	C₂×#449	—	13	1	no	—
752	C₂×#442	—	13	1	no	—
753	C₂×#435	—	13	1	no	—
754	C₂×#417	—	13	1	no	—
755	C₂×#416	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂²×D₁₃	—	2	1	no	—
761	C₂²×D₁₃	—	2	2	no	—
762	C₂²×D₁₃	—	2	2	no	—
763	C₂²×D₁₃	—	2	4	no	—
764	C₂²×D₁₃	—	2	2	no	—
765	C₂²×D₁₃	—	2	2	no	—
766	C₂²×D₁₃	—	2	2	no	—
767	C₂²×D₁₃	—	2	2	no	—
768	C₂²×D₁₃	—	2	1	no	—
769	C₂²×D₁₃	—	4	2	no	—
770	C₂²×D₁₃	—	4	2	no	—
771	C₂²×D₁₃	—	4	2	no	—
772	C₂²×D₁₃	—	4	2	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
777	Q₈×C₁₃	—	2	1	no	—
778	Q₈×C₁₃	—	2	1	no	—
779	Q₈×C₁₃	—	2	1	no	—
780	Q₈×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	2	1	no	—
783	D₄×C₁₃	—	2	1	no	—
784	D₄×C₁₃	—	4	1	no	—
785	D₄×C₁₃	—	4	2	no	—
786	D₄×C₁₃	—	4	2	no	—
787	D₄×C₁₃	—	4	2	no	—
788	D₄×C₁₃	—	8	1	no	—
789	D₄×C₁₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	4	2	no	—
802	C₂×C₄×C₁₃	—	4	2	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
810	C₂²⋊D₁₃	—	2	4	no	—
811	C₂²⋊D₁₃	—	4	1	no	—
812	C₂²⋊D₁₃	—	4	1	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	4	2	no	—
815	C₂²⋊D₁₃	—	4	2	no	—
816	C₂²⋊D₁₃	—	4	2	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	4	2	no	—
819	C₂²⋊D₁₃	—	4	2	no	—
820	C₂²⋊D₁₃	—	8	1	no	—
821	C₂²⋊D₁₃	—	8	1	no	—
822	C₂×Dic₁₃	—	2	2	no	—
823	C₂×Dic₁₃	—	2	2	no	—
824	C₂×Dic₁₃	—	2	1	no	—
825	C₂×Dic₁₃	—	2	1	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	4	2	no	—
831	C₂×Dic₁₃	—	4	2	no	—
832	C₂×Dic₁₃	—	4	2	no	—
833	C₂×Dic₁₃	—	8	1	no	—
834	C₂×Dic₁₃	—	8	1	no	—
835	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
840	D₅₂	—	2	1	no	—
841	D₅₂	—	2	1	no	—
842	D₅₂	—	2	1	no	—
843	D₅₂	—	4	1	no	—
844	D₅₂	—	4	2	no	—
845	D₅₂	—	4	2	no	—
846	D₅₂	—	4	2	no	—
847	D₅₂	—	8	1	no	—
848	D₅₂	C₂×#41	1	2	yes	—
849	C₄×D₁₃	—	2	2	no	—
850	C₄×D₁₃	—	2	2	no	—
851	C₄×D₁₃	—	2	2	no	—
852	C₄×D₁₃	—	2	2	no	—
853	C₄×D₁₃	—	2	1	no	—
854	C₄×D₁₃	—	2	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	2	no	—
858	C₄×D₁₃	—	2	2	no	—
859	C₄×D₁₃	—	4	2	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	4	2	no	—
868	C₄×D₁₃	—	4	2	no	—
869	C₄×D₁₃	—	4	2	no	—
870	C₄×D₁₃	—	4	2	no	—
871	C₄×D₁₃	—	8	1	no	—
872	C₄×D₁₃	—	8	1	no	—
873	C₄×D₁₃	—	8	1	no	—
874	C₄×D₁₃	—	8	1	no	—
875	C₄×D₁₃	C₂×#41	1	2	yes	—
876	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
877	Dic₂₆	—	2	1	no	—
878	Dic₂₆	—	2	1	no	—
879	Dic₂₆	—	2	1	no	—
880	Dic₂₆	—	2	1	no	—
881	Dic₂₆	—	4	2	no	—
882	Dic₂₆	—	4	2	no	—
883	C₈×C₁₃	—	2	1	no	—
884	C₈×C₁₃	—	2	1	no	—
885	C₈×C₁₃	—	2	1	no	—
886	C₈×C₁₃	—	2	1	no	—
887	#1055	—	2	1	no	—
888	#1055	—	2	1	no	—
889	#1055	—	2	1	no	—
890	#1055	—	2	1	no	—
891	C₂²×#41	—	13	1	no	—
892	C₂²×#41	—	13	1	no	—
893	C₂²×SD₁₆	—	13	1	no	—
894	C₂²×SD₁₆	—	13	1	no	—
895	C₂²×D₈	—	13	1	no	—
896	C₂²×M₁₆	—	13	1	no	—
897	C₂³×C₈	—	13	1	no	—
898	#553	—	13	1	no	—
899	#553	—	13	1	no	—
900	#553	—	13	1	no	—
901	#553	—	13	1	no	—
902	#553	—	13	1	no	—
903	#553	—	13	1	no	—
904	#553	—	13	1	no	—
905	#553	—	26	1	no	—
906	#553	—	26	1	no	—
907	#553	—	26	1	no	—
908	#553	—	26	1	no	—
909	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
910	#547	—	13	1	no	—
911	#547	—	13	1	no	—
912	#547	—	13	1	no	—
913	#547	—	13	1	no	—
914	#547	—	13	1	no	—
915	#547	—	13	1	no	—
916	#547	—	13	1	no	—
917	#547	—	26	1	no	—
918	#547	—	26	1	no	—
919	#547	—	26	1	no	—
920	#547	—	26	1	no	—
921	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
922	C₂×C₄⋊Q₈	—	13	1	no	—
923	C₂×#126	—	26	1	no	—
924	C₂×#125	—	13	1	no	—
925	C₂×#123	—	26	1	no	—
926	C₂×#123	—	26	1	no	—
927	C₂×#123	—	26	1	no	—
928	C₂×C₂²⋊Q₈	—	13	1	no	—
929	C₂×C₂²⋊Q₈	—	13	1	no	—
930	C₂×#121	—	13	1	no	—
931	C₂×#121	—	13	1	no	—
932	C₂×#121	—	26	1	no	—
933	C₂×#121	—	26	1	no	—
934	C₂×C₄×D₄	—	13	1	no	—
935	C₂×C₄×D₄	—	13	1	no	—
936	C₂×C₄×D₄	—	13	1	no	—
937	C₂×C₄×D₄	—	26	1	no	—
938	C₂×#117	—	13	1	no	—
939	C₂²×C₄⋊C₄	—	13	1	no	—
940	C₂²×C₄⋊C₄	—	26	1	no	—
941	#491	—	13	1	no	—
942	#491	—	13	1	no	—
943	#491	—	13	1	no	—
944	#491	—	13	1	no	—
945	#491	—	13	1	no	—
946	#491	—	13	1	no	—
947	#491	—	13	1	no	—
948	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#485	—	13	1	no	—
950	#485	—	13	1	no	—
951	#485	—	13	1	no	—
952	#485	—	13	1	no	—
953	#485	—	13	1	no	—
954	#485	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#483	—	13	1	no	—
958	#483	—	13	1	no	—
959	#483	—	13	1	no	—
960	#483	—	13	1	no	—
961	#483	—	13	1	no	—
962	#483	—	13	1	no	—
963	#483	—	13	1	no	—
964	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
965	#478	—	13	1	no	—
966	#478	—	13	1	no	—
967	#478	—	13	1	no	—
968	#478	—	13	1	no	—
969	#478	—	13	1	no	—
970	#478	—	13	1	no	—
971	#478	—	13	1	no	—
972	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#468	—	13	1	no	—
974	#468	—	13	1	no	—
975	#468	—	13	1	no	—
976	#468	—	13	1	no	—
977	#468	—	13	1	no	—
978	#468	—	13	1	no	—
979	#468	—	13	1	no	—
980	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
981	#465	—	13	1	no	—
982	#465	—	13	1	no	—
983	#465	—	13	1	no	—
984	#465	—	13	1	no	—
985	#465	—	13	1	no	—
986	#465	—	13	1	no	—
987	#465	—	13	1	no	—
988	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#461	—	13	1	no	—
990	#461	—	13	1	no	—
991	#461	—	13	1	no	—
992	#461	—	13	1	no	—
993	#461	—	13	1	no	—
994	#461	—	13	1	no	—
995	#461	—	13	1	no	—
996	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#449	—	13	1	no	—
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#449	—	13	1	no	—
1005	#449	—	13	1	no	—
1006	#449	—	13	1	no	—
1007	#449	—	13	1	no	—
1008	#449	—	13	1	no	—
1009	#449	—	13	1	no	—
1010	#449	—	13	1	no	—
1011	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#442	—	13	1	no	—
1014	#442	—	13	1	no	—
1015	#442	—	13	1	no	—
1016	#442	—	13	1	no	—
1017	#442	—	13	1	no	—
1018	#442	—	13	1	no	—
1019	#442	—	13	1	no	—
1020	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#435	—	13	1	no	—
1022	#435	—	13	1	no	—
1023	#435	—	13	1	no	—
1024	#435	—	13	1	no	—
1025	#435	—	13	1	no	—
1026	#435	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	C₂×#107	—	13	1	no	—
1030	C₂×#106	—	13	1	no	—
1031	C₂×#106	—	13	1	no	—
1032	C₂×C₄⋊C₈	—	13	1	no	—
1033	#417	—	13	1	no	—
1034	#417	—	13	1	no	—
1035	#417	—	13	1	no	—
1036	#417	—	13	1	no	—
1037	#417	—	13	1	no	—
1038	#417	—	13	1	no	—
1039	#417	—	13	1	no	—
1040	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1041	#416	—	13	1	no	—
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	—	13	1	no	—
1047	#416	—	13	1	no	—
1048	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	C₂×#103	—	13	1	no	—
1050	C₂×#103	—	13	1	no	—
1051	C₂×#103	—	13	1	no	—
1052	C₂×#103	—	13	1	no	—
1053	C₂×#103	—	13	1	no	—
1054	C₂×#103	—	13	1	no	—
1055	C₂×#102	—	13	1	no	—
1056	C₂×#102	—	13	1	no	—
1057	C₂×#102	—	13	1	no	—
1058	C₂×#102	—	13	1	no	—
1059	C₂×C₂²⋊C₈	—	13	1	no	—
1060	C₂×C₂²⋊C₈	—	13	1	no	—
1061	C₂×#97	—	13	1	no	—
1062	C₂²×C₁₃	—	2	1	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	2	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1075	C₂×D₁₃	—	2	1	no	—
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	2	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	1	no	—
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	—	4	4	no	—
1085	C₂×D₁₃	—	4	4	no	—
1086	C₂×D₁₃	—	4	8	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	8	4	no	—
1091	C₂×D₁₃	#546	1	2	yes	—
1092	C₂×D₁₃	#575	1	2	yes	—
1093	C₂×D₁₃	#577	1	2	yes	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	1	no	—
1098	C₄×C₁₃	—	4	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1105	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	Dic₁₃	#546	1	2	yes	—
1117	C₂×#41	—	13	1	no	—
1118	C₂×#41	—	13	1	no	—
1119	C₂×#41	—	13	1	no	—
1120	C₂×#41	—	13	1	no	—
1121	C₂×#41	—	13	1	no	—
1122	C₂×#41	—	13	1	no	—
1123	C₂×#41	—	26	1	no	—
1124	C₂×#41	—	26	1	no	—
1125	C₂×#41	—	26	1	no	—
1126	C₂×#41	—	26	1	no	—
1127	C₂×#41	—	26	4	no	—
1128	C₂×#41	—	26	4	no	—
1129	C₂×#41	—	52	2	no	—
1130	C₂×#41	—	52	2	no	—
1131	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂²×Q₈	—	13	1	no	—
1134	C₂²×Q₈	—	13	1	no	—
1135	C₂²×D₄	—	13	1	no	—
1136	C₂²×D₄	—	13	1	no	—
1137	C₂²×D₄	—	13	1	no	—
1138	C₂²×D₄	—	26	1	no	—
1139	C₂²×D₄	—	26	1	no	—
1140	C₂²×D₄	—	26	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂³×C₄	—	13	1	no	—
1143	C₂³×C₄	—	13	1	no	—
1144	C₂³×C₄	—	26	1	no	—
1145	C₂³×C₄	—	26	1	no	—
1146	C₂³×C₄	—	26	1	no	—
1147	C₂³×C₄	—	26	1	no	—
1148	C₂³×C₄	—	26	1	no	—
1149	C₂×SD₁₆	—	13	1	no	—
1150	C₂×SD₁₆	—	13	1	no	—
1151	C₂×SD₁₆	—	13	1	no	—
1152	C₂×SD₁₆	—	13	1	no	—
1153	C₂×SD₁₆	—	13	1	no	—
1154	C₂×SD₁₆	—	13	1	no	—
1155	C₂×SD₁₆	—	52	2	no	—
1156	C₂×SD₁₆	—	52	2	no	—
1157	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂×D₈	—	13	1	no	—
1160	C₂×D₈	—	13	1	no	—
1161	C₂×D₈	—	13	1	no	—
1162	C₂×D₈	—	26	4	no	—
1163	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×M₁₆	—	13	1	no	—
1165	C₂×M₁₆	—	13	1	no	—
1166	C₂×M₁₆	—	13	1	no	—
1167	C₂×M₁₆	—	52	2	no	—
1168	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂²×C₈	—	13	1	no	—
1170	C₂²×C₈	—	13	1	no	—
1171	C₂²×C₈	—	13	1	no	—
1172	C₂²×C₈	—	13	1	no	—
1173	C₂²×C₈	—	13	1	no	—
1174	C₂²×C₈	—	13	1	no	—
1175	C₂²×C₈	—	13	1	no	—
1176	C₂²×C₈	—	52	2	no	—
1177	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄⋊Q₈	—	13	1	no	—
1179	C₄⋊Q₈	—	13	1	no	—
1180	C₄⋊Q₈	—	13	1	no	—
1181	C₄⋊Q₈	—	26	1	no	—
1182	C₄⋊Q₈	—	26	1	no	—
1183	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1184	#126	—	2	1	no	—
1185	#126	—	26	1	no	—
1186	#126	—	26	1	no	—
1187	#126	—	26	1	no	—
1188	#126	—	26	1	no	—
1189	#126	—	26	1	no	—
1190	#126	—	26	1	no	—
1191	#126	—	26	1	no	—
1192	#125	—	13	1	no	—
1193	#125	—	13	1	no	—
1194	#125	—	13	1	no	—
1195	#125	—	26	1	no	—
1196	#125	—	26	1	no	—
1197	#125	C₂²×D₁₃	1	1	yes	characteristic
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	1	no	—
1206	#123	—	26	1	no	—
1207	#123	—	26	1	no	—
1208	#123	—	26	1	no	—
1209	#123	—	26	1	no	—
1210	#123	—	26	1	no	—
1211	#123	—	26	1	no	—
1212	#123	—	26	1	no	—
1213	#123	—	26	1	no	—
1214	#123	—	26	1	no	—
1215	#123	—	26	1	no	—
1216	#123	—	26	1	no	—
1217	#123	—	26	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	C₂²⋊Q₈	—	13	1	no	—
1223	C₂²⋊Q₈	—	13	1	no	—
1224	C₂²⋊Q₈	—	13	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	—	13	1	no	—
1227	C₂²⋊Q₈	—	13	1	no	—
1228	C₂²⋊Q₈	—	26	1	no	—
1229	C₂²⋊Q₈	—	26	1	no	—
1230	C₂²⋊Q₈	—	26	1	no	—
1231	C₂²⋊Q₈	—	26	1	no	—
1232	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	13	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	C₂²×D₁₃	1	1	yes	characteristic
1261	#121	C₂²×D₁₃	1	1	yes	characteristic
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	13	1	no	—
1268	C₄×D₄	—	13	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	13	1	no	—
1271	C₄×D₄	—	13	1	no	—
1272	C₄×D₄	—	13	1	no	—
1273	C₄×D₄	—	13	1	no	—
1274	C₄×D₄	—	13	1	no	—
1275	C₄×D₄	—	13	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1288	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1290	#117	—	13	1	no	—
1291	#117	—	13	1	no	—
1292	#117	—	13	1	no	—
1293	#117	—	26	1	no	—
1294	#117	—	26	1	no	—
1295	#117	C₂²×D₁₃	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	—	2	1	no	—
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	13	1	no	—
1302	C₂×C₄⋊C₄	—	13	1	no	—
1303	C₂×C₄⋊C₄	—	13	1	no	—
1304	C₂×C₄⋊C₄	—	13	1	no	—
1305	C₂×C₄⋊C₄	—	26	1	no	—
1306	C₂×C₄⋊C₄	—	26	1	no	—
1307	C₂×C₄⋊C₄	—	26	1	no	—
1308	C₂×C₄⋊C₄	—	26	1	no	—
1309	C₂×C₄⋊C₄	—	26	1	no	—
1310	C₂×C₄⋊C₄	—	26	1	no	—
1311	C₂×C₄⋊C₄	—	26	1	no	—
1312	C₂×C₄⋊C₄	—	26	1	no	—
1313	C₂×C₄⋊C₄	—	26	1	no	—
1314	C₂×C₄⋊C₄	—	26	1	no	—
1315	C₂×C₄⋊C₄	—	26	1	no	—
1316	C₂×C₄⋊C₄	—	26	1	no	—
1317	C₂×C₄⋊C₄	—	26	1	no	—
1318	C₂×C₄⋊C₄	—	26	1	no	—
1319	C₂×C₄⋊C₄	—	26	1	no	—
1320	C₂×C₄⋊C₄	—	26	1	no	—
1321	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₂²⋊C₄	—	13	1	no	—
1323	C₂×C₂²⋊C₄	—	13	1	no	—
1324	C₂×C₂²⋊C₄	—	26	1	no	—
1325	C₂×C₂²⋊C₄	—	26	1	no	—
1326	C₂×C₂²⋊C₄	—	26	1	no	—
1327	C₂×C₂²⋊C₄	—	26	1	no	—
1328	C₂×C₂²⋊C₄	—	26	1	no	—
1329	C₂×C₂²⋊C₄	—	26	1	no	—
1330	C₂×C₂²⋊C₄	—	26	1	no	—
1331	C₂×C₄²	—	13	1	no	—
1332	C₂×C₄²	—	26	1	no	—
1333	#107	—	13	1	no	—
1334	#107	—	13	1	no	—
1335	#107	—	13	1	no	—
1336	#107	C₂²×D₁₃	1	1	yes	characteristic
1337	#106	—	13	1	no	—
1338	#106	—	13	1	no	—
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	#106	C₂²×D₁₃	1	1	yes	characteristic
1344	#106	C₂²×D₁₃	1	1	yes	characteristic
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	C₂²×D₁₃	1	1	yes	characteristic
1368	#103	C₂²×D₁₃	1	1	yes	characteristic
1369	#103	C₂²×D₁₃	1	1	yes	characteristic
1370	#103	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	C₂²×D₁₃	1	1	yes	characteristic
1372	#103	C₂²×D₁₃	1	1	yes	characteristic
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	C₂²×D₁₃	1	1	yes	characteristic
1386	#102	C₂²×D₁₃	1	1	yes	characteristic
1387	#102	C₂²×D₁₃	1	1	yes	characteristic
1388	#102	C₂²×D₁₃	1	1	yes	characteristic
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	—	13	1	no	—
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1396	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1397	#97	—	13	1	no	—
1398	#97	—	13	1	no	—
1399	#97	—	13	1	no	—
1400	#97	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂×C₁₃	—	4	1	no	—
1402	C₂×C₁₃	—	4	1	no	—
1403	C₂×C₁₃	—	4	2	no	—
1404	C₂×C₁₃	—	8	1	no	—
1405	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1406	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1407	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1408	D₁₃	—	4	1	no	—
1409	D₁₃	—	4	1	no	—
1410	D₁₃	—	4	2	no	—
1411	D₁₃	—	8	1	no	—
1412	D₁₃	#3307	1	4	yes	direct product factor
1413	C₂⁴	—	13	1	no	—
1414	C₂⁴	—	13	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	C₂⁴	—	26	1	no	—
1417	#41	—	2	2	no	—
1418	#41	—	2	2	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	26	2	no	—
1422	#41	—	26	2	no	—
1423	#41	—	26	2	no	—
1424	#41	—	26	2	no	—
1425	#41	—	26	2	no	—
1426	#41	—	26	2	no	—
1427	#41	—	52	1	no	—
1428	#41	—	52	1	no	—
1429	#41	—	52	4	no	—
1430	#41	—	52	4	no	—
1431	#41	—	52	1	no	—
1432	#41	—	52	1	no	—
1433	#41	—	52	4	no	—
1434	#41	—	52	4	no	—
1435	#41	—	52	1	no	—
1436	#41	—	52	1	no	—
1437	C₂×Q₈	—	13	1	no	—
1438	C₂×Q₈	—	13	1	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	1	no	—
1441	C₂×Q₈	—	26	2	no	—
1442	C₂×Q₈	—	26	2	no	—
1443	C₂×Q₈	—	26	2	no	—
1444	C₂×Q₈	—	26	2	no	—
1445	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1446	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	13	4	no	—
1452	C₂×D₄	—	13	1	no	—
1453	C₂×D₄	—	13	1	no	—
1454	C₂×D₄	—	13	1	no	—
1455	C₂×D₄	—	13	1	no	—
1456	C₂×D₄	—	13	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	2	no	—
1462	C₂×D₄	—	26	2	no	—
1463	C₂×D₄	—	26	2	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	52	2	no	—
1475	C₂×D₄	—	52	4	no	—
1476	C₂×D₄	—	52	4	no	—
1477	C₂×D₄	—	52	4	no	—
1478	C₂×D₄	—	104	2	no	—
1479	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1480	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1481	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	13	1	no	—
1488	C₂²×C₄	—	13	1	no	—
1489	C₂²×C₄	—	13	1	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	13	1	no	—
1494	C₂²×C₄	—	13	1	no	—
1495	C₂²×C₄	—	13	1	no	—
1496	C₂²×C₄	—	13	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	26	2	no	—
1499	C₂²×C₄	—	26	2	no	—
1500	C₂²×C₄	—	26	2	no	—
1501	C₂²×C₄	—	26	2	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	52	4	no	—
1524	C₂²×C₄	—	52	4	no	—
1525	C₂²×C₄	—	52	4	no	—
1526	C₂²×C₄	—	104	2	no	—
1527	C₂²×C₄	—	104	2	no	—
1528	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	52	1	no	—
1533	SD₁₆	—	52	1	no	—
1534	SD₁₆	—	52	1	no	—
1535	SD₁₆	—	52	1	no	—
1536	SD₁₆	—	52	1	no	—
1537	SD₁₆	—	52	1	no	—
1538	D₈	—	2	2	no	—
1539	D₈	—	26	2	no	—
1540	D₈	—	26	2	no	—
1541	D₈	—	26	2	no	—
1542	M₁₆	—	4	1	no	—
1543	M₁₆	—	52	1	no	—
1544	M₁₆	—	52	1	no	—
1545	M₁₆	—	52	1	no	—
1546	C₂×C₈	—	4	1	no	—
1547	C₂×C₈	—	13	1	no	—
1548	C₂×C₈	—	13	1	no	—
1549	C₂×C₈	—	13	1	no	—
1550	C₂×C₈	—	13	1	no	—
1551	C₂×C₈	—	26	2	no	—
1552	C₂×C₈	—	26	2	no	—
1553	C₂×C₈	—	26	2	no	—
1554	C₂×C₈	—	26	2	no	—
1555	C₂×C₈	—	52	1	no	—
1556	C₂×C₈	—	52	1	no	—
1557	C₂×C₈	—	52	1	no	—
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	13	1	no	—
1574	C₄⋊C₄	—	13	1	no	—
1575	C₄⋊C₄	—	13	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1602	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1603	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1604	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	13	1	no	—
1614	C₂²⋊C₄	—	13	1	no	—
1615	C₂²⋊C₄	—	13	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	13	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1641	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1642	C₄²	—	2	1	no	—
1643	C₄²	—	13	1	no	—
1644	C₄²	—	13	1	no	—
1645	C₄²	—	13	1	no	—
1646	C₄²	—	26	1	no	—
1647	C₄²	—	26	1	no	—
1648	C₄²	—	26	1	no	—
1649	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1650	C₁₃	C₂×#3307	1	1	yes	characteristic, complemented, Sylow
1651	C₂³	—	2	1	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	13	1	no	—
1654	C₂³	—	13	1	no	—
1655	C₂³	—	13	1	no	—
1656	C₂³	—	26	2	no	—
1657	C₂³	—	26	2	no	—
1658	C₂³	—	26	4	no	—
1659	C₂³	—	26	2	no	—
1660	C₂³	—	26	2	no	—
1661	C₂³	—	26	2	no	—
1662	C₂³	—	26	2	no	—
1663	C₂³	—	26	1	no	—
1664	C₂³	—	26	1	no	—
1665	C₂³	—	52	2	no	—
1666	C₂³	—	52	2	no	—
1667	C₂³	—	52	2	no	—
1668	C₂³	—	52	2	no	—
1669	C₂³	—	52	2	no	—
1670	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1671	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	26	1	no	—
1677	Q₈	—	26	1	no	—
1678	Q₈	—	26	1	no	—
1679	Q₈	—	26	1	no	—
1680	Q₈	—	52	2	no	—
1681	Q₈	—	52	2	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	4	1	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	13	2	no	—
1691	D₄	—	26	4	no	—
1692	D₄	—	26	1	no	—
1693	D₄	—	26	1	no	—
1694	D₄	—	26	1	no	—
1695	D₄	—	52	1	no	—
1696	D₄	—	52	2	no	—
1697	D₄	—	52	2	no	—
1698	D₄	—	52	2	no	—
1699	D₄	—	52	2	no	—
1700	D₄	—	52	1	no	—
1701	D₄	—	52	1	no	—
1702	D₄	—	52	2	no	—
1703	D₄	—	52	2	no	—
1704	D₄	—	52	2	no	—
1705	D₄	—	52	2	no	—
1706	D₄	—	52	2	no	—
1707	D₄	—	52	2	no	—
1708	D₄	—	104	1	no	—
1709	D₄	—	104	1	no	—
1710	D₄	—	104	1	no	—
1711	D₄	#41×D₁₃	1	2	yes	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	4	2	no	—
1723	C₂×C₄	—	4	2	no	—
1724	C₂×C₄	—	4	2	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	13	1	no	—
1728	C₂×C₄	—	13	2	no	—
1729	C₂×C₄	—	13	2	no	—
1730	C₂×C₄	—	13	1	no	—
1731	C₂×C₄	—	13	1	no	—
1732	C₂×C₄	—	13	1	no	—
1733	C₂×C₄	—	13	1	no	—
1734	C₂×C₄	—	26	2	no	—
1735	C₂×C₄	—	26	2	no	—
1736	C₂×C₄	—	26	2	no	—
1737	C₂×C₄	—	26	2	no	—
1738	C₂×C₄	—	26	2	no	—
1739	C₂×C₄	—	26	2	no	—
1740	C₂×C₄	—	26	2	no	—
1741	C₂×C₄	—	26	2	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	52	2	no	—
1753	C₂×C₄	—	52	2	no	—
1754	C₂×C₄	—	52	2	no	—
1755	C₂×C₄	—	52	2	no	—
1756	C₂×C₄	—	52	2	no	—
1757	C₂×C₄	—	52	2	no	—
1758	C₂×C₄	—	52	2	no	—
1759	C₂×C₄	—	52	2	no	—
1760	C₂×C₄	—	52	2	no	—
1761	C₂×C₄	—	52	2	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	52	2	no	—
1765	C₂×C₄	—	52	2	no	—
1766	C₂×C₄	—	52	2	no	—
1767	C₂×C₄	—	104	1	no	—
1768	C₂×C₄	—	104	1	no	—
1769	C₂×C₄	—	104	1	no	—
1770	C₂×C₄	—	104	1	no	—
1771	C₂×C₄	—	104	1	no	—
1772	C₂×C₄	—	104	1	no	—
1773	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1776	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1777	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	2	1	no	—
1782	C₈	—	26	1	no	—
1783	C₈	—	26	1	no	—
1784	C₈	—	26	1	no	—
1785	C₈	—	26	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	2	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	13	2	no	—
1799	C₂²	—	13	2	no	—
1800	C₂²	—	13	2	no	—
1801	C₂²	—	26	1	no	—
1802	C₂²	—	26	1	no	—
1803	C₂²	—	26	2	no	—
1804	C₂²	—	26	1	no	—
1805	C₂²	—	26	1	no	—
1806	C₂²	—	26	1	no	—
1807	C₂²	—	26	1	no	—
1808	C₂²	—	52	4	no	—
1809	C₂²	—	52	4	no	—
1810	C₂²	—	52	8	no	—
1811	C₂²	—	52	1	no	—
1812	C₂²	—	52	1	no	—
1813	C₂²	—	52	1	no	—
1814	C₂²	—	52	1	no	—
1815	C₂²	—	52	1	no	—
1816	C₂²	—	104	4	no	—
1817	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	13	2	no	—
1829	C₄	—	26	1	no	—
1830	C₄	—	26	1	no	—
1831	C₄	—	26	1	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	52	1	no	—
1834	C₄	—	52	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	—	52	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	—	52	1	no	—
1839	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1840	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	13	4	no	—
1846	C₂	—	52	1	no	—
1847	C₂	—	52	1	no	—
1848	C₂	—	52	2	no	—
1849	C₂	—	104	1	no	—
1850	C₂	D₁₃×#546	1	1	yes	characteristic
1851	C₂	D₁₃×#575	1	1	yes	characteristic
1852	C₂	D₁₃×#577	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×#3307	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3307	D₁₃
hypocenter	C₁₃	C₂×#3307
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3307

Complements

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

N	H ≅ G/N	type
1. D₁₃×#553	C₂	semidirect
2. D₁₃×#547	C₂	semidirect
3. #13126819	C₂	semidirect
4. #13126818	C₂	semidirect
5. #13126817	C₂	semidirect
6. #13126816	C₂	semidirect
7. #13126815	C₂	semidirect
8. #13126814	C₂	semidirect
9. #13126813	C₂	semidirect
10. #13126812	C₂	semidirect
11. #13126811	C₂	semidirect
12. #13126810	C₂	semidirect
13. #13126809	C₂	semidirect
14. #13126808	C₂	semidirect
15. #13126807	C₂	semidirect
16. #13126806	C₂	semidirect
17. #13126805	C₂	semidirect
18. D₁₃×#491	C₂	semidirect
19. D₁₃×#485	C₂	semidirect
20. D₁₃×#483	C₂	semidirect
21. D₁₃×#478	C₂	semidirect
22. D₁₃×#468	C₂	semidirect
23. D₁₃×#465	C₂	semidirect
24. D₁₃×#461	C₂	semidirect
25. D₁₃×#449	C₂	semidirect
26. D₁₃×#449	C₂	semidirect
27. D₁₃×#442	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#417	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3307	C₂	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
36. #11719529	C₂²	semidirect
37. #11719529	C₂²	semidirect
43. #11719431	C₂²	semidirect
47. #11719400	C₂²	semidirect
55. #11719336	C₂²	semidirect
56. #11719336	C₂²	semidirect
59. #11719323	C₂²	semidirect
60. #11719319	C₂²	semidirect
67. #11719270	C₂²	semidirect
68. #11719263	C₂²	semidirect
69. #11719260	C₂²	semidirect
70. #11719256	C₂²	semidirect
76. #11719235	C₂²	semidirect
78. #11719219	C₂²	semidirect
82. C₁₃×#491	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#483	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#461	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#442	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718893	C₂²	semidirect
99. #11718835	C₂²	semidirect
100. #11718833	C₂²	semidirect
101. #11718833	C₂²	semidirect
102. #11718832	C₂²	semidirect
103. #11718823	C₂²	semidirect
104. #11718823	C₂²	semidirect
105. #11718819	C₂²	semidirect
106. #11718819	C₂²	semidirect
107. #11718813	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718794	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718744	C₂²	semidirect
115. #11718743	C₂²	semidirect
116. #11718730	C₂²	semidirect
117. #11718727	C₂²	semidirect
118. #11718710	C₂²	semidirect
119. #11718709	C₂²	semidirect
120. #11718706	C₂²	semidirect
121. #11718704	C₂²	semidirect
122. #11718703	C₂²	semidirect
123. #11718702	C₂²	semidirect
124. #11718698	C₂²	semidirect
125. #11718698	C₂²	semidirect
126. #11718680	C₂²	semidirect
127. #11718675	C₂²	semidirect
128. #11718675	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718663	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718632	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718549	C₂²	semidirect
137. #11718547	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718530	C₂²	semidirect
141. #11718528	C₂²	semidirect
142. #11718525	C₂²	semidirect
143. #11718523	C₂²	semidirect
144. #11718523	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718502	C₂²	semidirect
149. #11718497	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718479	C₂²	semidirect
153. #11718476	C₂²	semidirect
154. #11718475	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718472	C₂²	semidirect
158. #11718468	C₂²	semidirect
159. #11718466	C₂²	semidirect
160. #11718466	C₂²	semidirect
161. #11718465	C₂²	semidirect
162. #11718465	C₂²	semidirect
163. #11718464	C₂²	semidirect
164. #11718464	C₂²	semidirect
171. #11718458	C₂²	semidirect
172. #11718458	C₂²	semidirect
173. #11718458	C₂²	semidirect
174. #11718458	C₂²	semidirect
175. #11718446	C₂²	semidirect
176. #11718446	C₂²	semidirect
177. #11718442	C₂²	semidirect
178. #11718442	C₂²	semidirect
179. #11718441	C₂²	semidirect
180. #11718439	C₂²	semidirect
181. #11718433	C₂²	semidirect
182. #11718433	C₂²	semidirect
183. #11718432	C₂²	semidirect
184. #11718432	C₂²	semidirect
189. #11718427	C₂²	semidirect
190. #11718424	C₂²	semidirect
191. #11718395	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718389	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718372	C₂²	semidirect
200. #11718367	C₂²	semidirect
202. #11718364	C₂²	semidirect
742. #3307	D₁₃	direct (N × H)
909. #553	C₂×D₁₃	semidirect
921. #547	C₂×D₁₃	semidirect
948. #491	C₂×D₁₃	semidirect
956. #485	C₂×D₁₃	semidirect
964. #483	C₂×D₁₃	semidirect
972. #478	C₂×D₁₃	semidirect
980. #468	C₂×D₁₃	semidirect
988. #465	C₂×D₁₃	semidirect
996. #461	C₂×D₁₃	semidirect
1011. #449	C₂×D₁₃	semidirect
1012. #449	C₂×D₁₃	semidirect
1020. #442	C₂×D₁₃	semidirect
1028. #435	C₂×D₁₃	semidirect
1040. #417	C₂×D₁₃	semidirect
1048. #416	C₂×D₁₃	semidirect
1412. D₁₃	#3307	direct (N × H)
1650. C₁₃	C₂×#3307	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#553	2
D₁₃×#547	2
#13126819	2
#13126818	2
#13126817	2
#13126816	2
#13126815	2
#13126814	2
#13126813	2
#13126812	2
#13126811	2
#13126810	2
#13126809	2
#13126808	2
#13126807	2
#13126806	2
#13126805	2
D₁₃×#491	2
D₁₃×#485	2
D₁₃×#483	2
D₁₃×#478	2
D₁₃×#468	2
D₁₃×#465	2
D₁₃×#461	2
D₁₃×#449	2
D₁₃×#442	2
D₁₃×#435	2
D₁₃×#417	2
D₁₃×#416	2
C₁₃×#3307	2
C₂×#3307	13

Subgroups — D13×#3307 #16739549

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3307 #16739549