Subgroups — #16747652

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128665	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126736	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126734	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126732	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126726	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126724	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126722	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126720	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126579	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126574	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126573	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126570	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126550	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126549	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126546	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126545	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125802	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125799	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125621	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125612	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125595	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125583	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124921	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124914	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124056	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124051	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718469	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123857	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
36	#11719536	C₂²	1	1	yes	characteristic
37	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
38	#11719522	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
41	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
44	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
46	#11719412	—	2	1	no	—
47	#11719410	—	2	1	no	—
48	#11719399	C₂²	1	1	yes	characteristic, complemented
49	#11719396	C₂²	1	1	yes	characteristic
50	#11719382	—	2	1	no	—
51	#11719382	C₂²	1	1	yes	characteristic
52	D₁₃×#124	—	2	1	no	—
53	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
54	#11719363	—	2	1	no	—
55	#11719362	—	2	1	no	—
56	#11719338	—	2	1	no	—
57	#11719338	C₂²	1	1	yes	characteristic
58	D₁₃×C₂²⋊Q₈	—	2	1	no	—
59	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
60	#11719323	—	2	1	no	—
61	#11719317	C₂²	1	1	yes	characteristic, complemented
62	#11719311	C₂²	1	1	yes	characteristic
63	#11719310	—	2	1	no	—
64	D₁₃×#121	—	2	1	no	—
65	D₁₃×#121	C₂²	1	1	yes	characteristic
66	D₁₃×#121	C₂²	1	1	yes	characteristic
67	#11719303	—	2	1	no	—
68	#11719303	C₂²	1	1	yes	characteristic, complemented
69	#11719303	C₂²	1	1	yes	characteristic, complemented
70	#11719281	C₂²	1	1	yes	characteristic
71	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719270	—	2	1	no	—
73	#11719262	C₂²	1	1	yes	characteristic
74	#11719259	C₂²	1	1	yes	characteristic, complemented
75	#11719257	—	2	1	no	—
76	#11719257	C₂²	1	1	yes	characteristic, complemented
77	#11719257	C₂²	1	1	yes	characteristic, complemented
78	#11719250	—	2	1	no	—
79	C₄×D₄×D₁₃	—	2	1	no	—
80	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
81	#11719234	C₂²	1	1	yes	characteristic, complemented
82	#11719229	C₂²	1	1	yes	characteristic
83	#11719219	C₂²	1	1	yes	characteristic, complemented
84	C₂×#88151	C₂²	1	1	yes	characteristic
85	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718834	C₂²	1	1	yes	characteristic, complemented
101	#11718831	C₂²	1	1	yes	characteristic
102	#11718831	C₂²	1	1	yes	characteristic
103	#11718829	C₂²	1	1	yes	characteristic, complemented
104	#11718827	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic
106	#11718817	C₂²	1	1	yes	characteristic, complemented
107	#11718816	C₂²	1	1	yes	characteristic, complemented
108	#11718777	C₂²	1	1	yes	characteristic, complemented
109	#11718776	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88060	C₂²	1	1	yes	characteristic
113	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
114	#11718729	C₂²	1	1	yes	characteristic, complemented
115	#11718724	C₂²	1	1	yes	characteristic, complemented
116	#11718720	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718708	C₂²	1	1	yes	characteristic, complemented
120	#11718702	C₂²	1	1	yes	characteristic, complemented
121	#11718701	C₂²	1	1	yes	characteristic, complemented
122	#11718701	C₂²	1	1	yes	characteristic, complemented
123	#11718699	C₂²	1	1	yes	characteristic, complemented
124	#11718699	C₂²	1	1	yes	characteristic, complemented
125	#11718698	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
127	#11718689	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
129	#11718677	C₂²	1	1	yes	characteristic, complemented
130	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
131	#11718663	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
134	#11718629	C₂²	1	1	yes	characteristic, complemented
135	#11718548	C₂²	1	1	yes	characteristic, complemented
136	#11718543	C₂²	1	1	yes	characteristic
137	#11718543	C₂²	1	1	yes	characteristic, complemented
138	#11718534	C₂²	1	1	yes	characteristic, complemented
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718525	C₂²	1	1	yes	characteristic, complemented
141	#11718525	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	#11718518	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718495	C₂²	1	1	yes	characteristic, complemented
150	#11718494	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718475	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic, complemented
154	#11718472	C₂²	1	1	yes	characteristic, complemented
155	#11718471	C₂²	1	1	yes	characteristic, complemented
156	#11718469	C₂²	1	1	yes	characteristic, complemented
157	#11718469	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718469	C₂²	1	1	yes	characteristic, complemented
160	#11718469	C₂²	1	1	yes	characteristic, complemented
161	#11718469	C₂²	1	1	yes	characteristic, complemented
162	#11718469	C₂²	1	1	yes	characteristic, complemented
163	#11718469	C₂²	1	1	yes	characteristic, complemented
164	#11718468	C₂²	1	1	yes	characteristic, complemented
165	#11718467	C₂²	1	1	yes	characteristic
166	#11718467	C₂²	1	1	yes	characteristic
167	#11718465	C₂²	1	1	yes	characteristic, complemented
168	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	#11718461	C₂²	1	1	yes	characteristic, complemented
171	#11718459	C₂²	1	1	yes	characteristic, complemented
172	#11718457	C₂²	1	1	yes	characteristic, complemented
173	#11718451	C₂²	1	1	yes	characteristic, complemented
174	#11718449	C₂²	1	1	yes	characteristic, complemented
175	#11718448	C₂²	1	1	yes	characteristic, complemented
176	#11718444	C₂²	1	1	yes	characteristic, complemented
177	#11718444	C₂²	1	1	yes	characteristic, complemented
178	#11718442	C₂²	1	1	yes	characteristic, complemented
179	#11718439	C₂²	1	1	yes	characteristic, complemented
180	#11718439	C₂²	1	1	yes	characteristic, complemented
181	#11718437	C₂²	1	1	yes	characteristic, complemented
182	#11718437	C₂²	1	1	yes	characteristic, complemented
183	#11718435	C₂²	1	1	yes	characteristic
184	#11718435	C₂²	1	1	yes	characteristic, complemented
185	#11718434	C₂²	1	1	yes	characteristic
186	#11718434	C₂²	1	1	yes	characteristic, complemented
187	#11718433	C₂²	1	1	yes	characteristic, complemented
188	#11718429	C₂²	1	1	yes	characteristic, complemented
189	#11718428	C₂²	1	1	yes	characteristic, complemented
190	#11718428	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718394	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
200	#11718357	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
202	#11718346	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	4	2	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	—	4	2	no	—
211	C₂×Q₈×D₁₃	—	4	2	no	—
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
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×#6129	—	2	1	no	—
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₁₃	—	2	1	no	—
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×D₄×D₁₃	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×Dic₂₆	—	2	1	no	—
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	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	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#125	C₂³	1	1	yes	characteristic
242	C₁₃×#124	—	2	1	no	—
243	C₁₃×#124	C₂³	1	1	yes	characteristic
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	#88204	—	4	2	no	—
260	#88201	—	2	1	no	—
261	#88201	C₂³	1	1	yes	characteristic
262	#88200	—	2	1	no	—
263	#88200	C₂³	1	1	yes	characteristic
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×#6107	—	4	2	no	—
266	C₂×#6107	C₂³	1	1	yes	characteristic
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×#6106	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	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88192	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	C₂³	1	1	yes	characteristic
281	#88192	C₂³	1	1	yes	characteristic
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88190	—	2	1	no	—
285	#88190	C₂³	1	1	yes	characteristic
286	#88190	C₂³	1	1	yes	characteristic
287	D₄×Dic₁₃	—	2	1	no	—
288	D₄×Dic₁₃	—	2	1	no	—
289	D₄×Dic₁₃	—	2	1	no	—
290	D₄×Dic₁₃	D₄	1	1	yes	characteristic
291	C₂×#6105	C₂³	1	1	yes	characteristic
292	C₂×#6105	C₂³	1	1	yes	characteristic
293	C₂×#6105	C₂³	1	1	yes	characteristic
294	C₂×#6105	C₂³	1	1	yes	characteristic
295	C₂×#6104	C₂³	1	1	yes	characteristic
296	C₂×#6104	C₂³	1	1	yes	characteristic
297	#88184	—	2	1	no	—
298	#88184	—	2	1	no	—
299	#88184	—	2	1	no	—
300	#88184	C₂³	1	1	yes	characteristic
301	#88184	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	—	2	1	no	—
304	C₄×C₂²⋊D₁₃	—	2	1	no	—
305	C₄×C₂²⋊D₁₃	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
307	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
308	C₂×#6103	—	2	1	no	—
309	C₂×#6103	—	2	1	no	—
310	#88180	—	2	1	no	—
311	C₂×C₄⋊Dic₁₃	—	2	1	no	—
312	#88178	—	2	1	no	—
313	#88178	C₂³	1	1	yes	characteristic
314	#88178	C₂³	1	1	yes	characteristic
315	C₂²×#1055	C₂³	1	1	yes	characteristic
316	C₂²×#1055	C₂³	1	1	yes	characteristic
317	#88170	—	4	2	no	—
318	SD₁₆×D₁₃	—	4	2	no	—
319	SD₁₆×D₁₃	—	4	2	no	—
320	#88166	—	4	2	no	—
321	C₂×Dic₅₂	—	4	2	no	—
322	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
323	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
324	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
325	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
326	#88158	—	4	2	no	—
327	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
328	C₂×#6095	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic
330	C₂×#6095	C₂³	1	1	yes	characteristic
331	C₂×#6095	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	#88152	—	2	1	no	—
337	#88152	—	2	1	no	—
338	#88152	—	2	1	no	—
339	#88151	—	2	1	no	—
340	#88151	—	2	1	no	—
341	#88151	—	2	1	no	—
342	#88151	C₂³	1	1	yes	characteristic
343	#88151	C₂³	1	1	yes	characteristic
344	#88151	C₂³	1	1	yes	characteristic
345	#88151	C₂³	1	1	yes	characteristic
346	#88151	C₂³	1	1	yes	characteristic
347	#88151	C₂³	1	1	yes	characteristic
348	#88150	—	2	1	no	—
349	#88150	—	2	1	no	—
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88149	—	2	1	no	—
353	#88149	C₂³	1	1	yes	characteristic
354	#88149	C₂³	1	1	yes	characteristic
355	#88149	C₂³	1	1	yes	characteristic
356	#88148	—	2	1	no	—
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88147	—	2	1	no	—
360	#88147	—	2	1	no	—
361	#88147	D₄	1	1	yes	characteristic
362	#88147	C₂³	1	1	yes	characteristic
363	#88146	—	2	1	no	—
364	#88146	—	2	1	no	—
365	#88146	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	#88144	—	2	1	no	—
372	#88144	C₂³	1	1	yes	characteristic
373	#88141	—	2	1	no	—
374	#88141	C₂³	1	1	yes	characteristic
375	#88141	C₂³	1	1	yes	characteristic
376	#88140	—	2	1	no	—
377	#88140	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	D₄	1	1	yes	characteristic
401	#88135	D₄	1	1	yes	characteristic
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
409	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
410	#88133	—	2	1	no	—
411	#88133	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88129	—	2	1	no	—
417	#88129	C₂³	1	1	yes	characteristic
418	#88129	C₂³	1	1	yes	characteristic
419	C₄×D₅₂	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	#88126	—	2	1	no	—
424	C₄²×D₁₃	—	2	1	no	—
425	C₄²×D₁₃	C₂³	1	1	yes	characteristic
426	#88124	—	2	1	no	—
427	C₄×Dic₂₆	—	2	1	no	—
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#106	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88058	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88056	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61564	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	2	no	—
499	C₂×Q₈×C₁₃	—	4	1	no	—
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
533	#6131	—	2	2	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	Q₈×D₁₃	—	4	1	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	4	no	—
544	Q₈×D₁₃	—	4	4	no	—
545	#6129	—	2	2	no	—
546	#6129	—	4	1	no	—
547	#6129	—	4	1	no	—
548	#6129	—	4	1	no	—
549	#6129	—	4	4	no	—
550	D₄×D₁₃	—	2	4	no	—
551	D₄×D₁₃	—	4	1	no	—
552	D₄×D₁₃	—	4	1	no	—
553	D₄×D₁₃	—	4	1	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	4	no	—
556	D₄×D₁₃	—	4	4	no	—
557	D₄×D₁₃	—	4	4	no	—
558	#6127	—	2	2	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	4	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	1	no	—
563	C₂×D₅₂	—	2	1	no	—
564	C₂×D₅₂	—	2	1	no	—
565	C₂×D₅₂	—	2	1	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
568	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
569	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₁₃	—	2	1	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	—	4	1	no	—
581	C₂×C₄×D₁₃	—	4	1	no	—
582	C₂×C₄×D₁₃	—	4	1	no	—
583	C₂×C₄×D₁₃	—	4	1	no	—
584	C₂×C₄×D₁₃	—	4	4	no	—
585	C₂×C₄×D₁₃	—	4	4	no	—
586	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	2	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	4	1	no	—
603	C₂×Dic₂₆	—	4	1	no	—
604	C₂×Dic₂₆	—	4	1	no	—
605	C₂×Dic₂₆	—	4	4	no	—
606	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
610	C₁₃×SD₁₆	—	2	2	no	—
611	C₁₃×SD₁₆	—	4	1	no	—
612	C₁₃×D₈	—	4	1	no	—
613	C₂×C₈×C₁₃	—	4	1	no	—
614	C₂×C₈×C₁₃	—	4	1	no	—
615	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₄²×C₁₃	—	2	1	no	—
640	C₄²×C₁₃	—	2	1	no	—
641	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	#6107	—	2	2	no	—
653	#6107	—	2	2	no	—
654	#6107	—	4	1	no	—
655	#6107	—	4	1	no	—
656	#6106	—	2	2	no	—
657	#6106	—	4	1	no	—
658	#6105	—	2	2	no	—
659	#6105	—	4	1	no	—
660	#6105	—	4	1	no	—
661	#6105	—	4	1	no	—
662	#6104	—	4	1	no	—
663	#6104	—	4	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	C₂×D₄	1	1	yes	characteristic
685	#6103	C₂×D₄	1	1	yes	characteristic
686	#6103	C₂×D₄	1	1	yes	characteristic
687	#6103	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	C₂×D₄	1	1	yes	characteristic
710	#6101	C₂×D₄	1	1	yes	characteristic
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
720	C₂×#1055	—	4	1	no	—
721	C₂×#1055	—	4	1	no	—
722	C₂×#1055	C₂⁴	1	1	yes	characteristic
723	C₂×#1055	C₂⁴	1	1	yes	characteristic
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	Dic₅₂	—	2	2	no	—
727	Dic₅₂	—	2	2	no	—
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	D₁₀₄	—	4	1	no	—
731	#6095	—	2	2	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	C₈×D₁₃	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	#3505	—	13	1	no	—
740	C₂×#548	—	13	1	no	—
741	#3301	—	13	1	no	—
742	#3301	—	13	1	no	—
743	#3301	—	13	1	no	—
744	#3301	D₁₃	1	1	yes	characteristic, complemented
745	#3300	—	13	1	no	—
746	#3300	—	13	1	no	—
747	#3300	—	13	1	no	—
748	#3300	—	13	1	no	—
749	#3285	—	13	1	no	—
750	#3285	—	13	1	no	—
751	#3285	—	13	1	no	—
752	#3285	—	13	1	no	—
753	#3282	—	13	1	no	—
754	#3282	—	13	1	no	—
755	#3282	—	13	1	no	—
756	#3282	—	13	1	no	—
757	#3211	—	13	1	no	—
758	#3211	—	13	1	no	—
759	#3190	—	13	1	no	—
760	#3190	—	13	1	no	—
761	#3187	—	13	1	no	—
762	#3186	—	13	1	no	—
763	#3108	—	13	1	no	—
764	#3108	—	13	1	no	—
765	#3002	—	13	1	no	—
766	#3002	—	13	1	no	—
767	C₂×#451	—	13	1	no	—
768	C₂×#448	—	13	1	no	—
769	#2972	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂²×D₁₃	—	2	2	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	4	1	no	—
778	C₂²×D₁₃	—	4	1	no	—
779	C₂²×D₁₃	—	4	1	no	—
780	C₂²×D₁₃	—	4	1	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	#135	1	4	yes	complemented
788	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	4	2	no	—
795	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
796	D₄×C₁₃	—	2	2	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	2	1	no	—
799	D₄×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	4	2	no	—
802	D₄×C₁₃	—	4	2	no	—
803	D₄×C₁₃	—	4	2	no	—
804	D₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	4	2	no	—
816	C₂×C₄×C₁₃	—	4	2	no	—
817	C₂×C₄×C₁₃	—	8	1	no	—
818	C₂×C₄×C₁₃	—	8	1	no	—
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
824	C₂²⋊D₁₃	—	2	2	no	—
825	C₂²⋊D₁₃	—	2	2	no	—
826	C₂²⋊D₁₃	—	4	2	no	—
827	C₂²⋊D₁₃	—	4	2	no	—
828	C₂²⋊D₁₃	—	4	2	no	—
829	C₂²⋊D₁₃	—	4	2	no	—
830	C₂²⋊D₁₃	—	4	2	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	8	1	no	—
834	C₂²⋊D₁₃	—	8	1	no	—
835	C₂²⋊D₁₃	—	8	1	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	1	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	2	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	4	1	no	—
843	C₂×Dic₁₃	—	4	1	no	—
844	C₂×Dic₁₃	—	4	2	no	—
845	C₂×Dic₁₃	—	4	2	no	—
846	C₂×Dic₁₃	—	8	1	no	—
847	C₂×Dic₁₃	—	8	1	no	—
848	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
853	D₅₂	—	2	2	no	—
854	D₅₂	—	2	1	no	—
855	D₅₂	—	2	1	no	—
856	D₅₂	—	2	1	no	—
857	D₅₂	—	2	1	no	—
858	D₅₂	—	4	2	no	—
859	D₅₂	—	4	2	no	—
860	D₅₂	—	4	2	no	—
861	D₅₂	—	8	1	no	—
862	C₄×D₁₃	—	2	4	no	—
863	C₄×D₁₃	—	2	2	no	—
864	C₄×D₁₃	—	2	1	no	—
865	C₄×D₁₃	—	2	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	4	1	no	—
871	C₄×D₁₃	—	4	1	no	—
872	C₄×D₁₃	—	4	1	no	—
873	C₄×D₁₃	—	4	1	no	—
874	C₄×D₁₃	—	4	1	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	4	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	4	2	no	—
881	C₄×D₁₃	—	4	2	no	—
882	C₄×D₁₃	—	8	1	no	—
883	C₄×D₁₃	—	8	1	no	—
884	Dic₂₆	—	2	4	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	2	1	no	—
888	Dic₂₆	—	2	1	no	—
889	Dic₂₆	—	2	1	no	—
890	Dic₂₆	—	2	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	4	2	no	—
893	Dic₂₆	—	4	2	no	—
894	Dic₂₆	—	4	2	no	—
895	Dic₂₆	—	4	2	no	—
896	Dic₂₆	—	8	1	no	—
897	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
898	C₈×C₁₃	—	2	1	no	—
899	C₈×C₁₃	—	2	1	no	—
900	C₈×C₁₃	—	2	1	no	—
901	C₈×C₁₃	—	2	1	no	—
902	#1055	—	2	1	no	—
903	#1055	—	2	1	no	—
904	#1055	—	2	1	no	—
905	#1055	—	2	1	no	—
906	C₂²×#41	—	13	1	no	—
907	C₂³×Q₈	—	13	1	no	—
908	C₂×#135	—	13	1	no	—
909	C₂×#135	—	13	1	no	—
910	C₂×#135	—	13	1	no	—
911	C₂×#135	—	13	1	no	—
912	C₂²×Q₁₆	—	13	1	no	—
913	C₂²×Q₁₆	—	13	1	no	—
914	C₂²×SD₁₆	—	13	1	no	—
915	C₂²×SD₁₆	—	13	1	no	—
916	#553	—	13	1	no	—
917	#553	—	26	1	no	—
918	#553	—	26	1	no	—
919	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
920	#552	—	13	1	no	—
921	#552	—	13	1	no	—
922	#551	—	26	1	no	—
923	#551	—	26	1	no	—
924	#548	—	13	1	no	—
925	#548	—	13	1	no	—
926	#548	—	13	1	no	—
927	#548	—	13	1	no	—
928	#548	—	13	1	no	—
929	#548	—	13	1	no	—
930	#548	—	13	1	no	—
931	#548	—	13	1	no	—
932	#548	—	13	1	no	—
933	#548	—	26	1	no	—
934	#548	—	26	1	no	—
935	#548	—	26	1	no	—
936	#548	—	26	1	no	—
937	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#546	—	13	1	no	—
939	#546	—	13	1	no	—
940	#539	—	26	1	no	—
941	#538	—	26	1	no	—
942	#534	—	26	1	no	—
943	#529	—	13	1	no	—
944	#529	—	13	1	no	—
945	C₂×#124	—	13	1	no	—
946	C₂×#124	—	26	1	no	—
947	#525	—	13	1	no	—
948	#525	—	13	1	no	—
949	C₂×C₂²⋊Q₈	—	13	1	no	—
950	C₂×C₂²⋊Q₈	—	13	1	no	—
951	C₂×C₂²⋊Q₈	—	26	1	no	—
952	C₂×#121	—	13	1	no	—
953	C₂×#121	—	13	1	no	—
954	C₂×#121	—	26	1	no	—
955	#518	—	26	1	no	—
956	C₂×C₄×Q₈	—	13	1	no	—
957	C₂×C₄×D₄	—	13	1	no	—
958	C₂×C₄×D₄	—	26	1	no	—
959	#495	—	13	1	no	—
960	#495	—	13	1	no	—
961	#495	—	13	1	no	—
962	#495	—	13	1	no	—
963	#488	—	13	1	no	—
964	#488	—	13	1	no	—
965	#488	—	13	1	no	—
966	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#485	—	13	1	no	—
968	#485	—	13	1	no	—
969	#485	—	13	1	no	—
970	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
971	#483	—	13	1	no	—
972	#483	—	13	1	no	—
973	#481	—	13	1	no	—
974	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
975	#480	—	13	1	no	—
976	#480	—	13	1	no	—
977	#480	—	13	1	no	—
978	#480	—	13	1	no	—
979	#479	—	13	1	no	—
980	#479	—	13	1	no	—
981	#479	—	13	1	no	—
982	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#467	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#467	—	13	1	no	—
987	#466	—	13	1	no	—
988	#466	—	13	1	no	—
989	#466	—	13	1	no	—
990	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#465	—	13	1	no	—
992	#465	—	13	1	no	—
993	#465	—	13	1	no	—
994	#465	—	13	1	no	—
995	#465	—	13	1	no	—
996	#465	—	13	1	no	—
997	#465	—	13	1	no	—
998	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#464	—	13	1	no	—
1000	#464	—	13	1	no	—
1001	#464	—	13	1	no	—
1002	#464	—	13	1	no	—
1003	#464	—	13	1	no	—
1004	#464	—	13	1	no	—
1005	#464	—	13	1	no	—
1006	#464	—	13	1	no	—
1007	#463	—	13	1	no	—
1008	#463	—	13	1	no	—
1009	#463	—	13	1	no	—
1010	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	13	1	no	—
1015	#452	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#451	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#450	—	13	1	no	—
1029	#449	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	—	13	1	no	—
1038	#448	—	13	1	no	—
1039	#448	—	13	1	no	—
1040	#448	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1043	#447	—	13	1	no	—
1044	#447	—	13	1	no	—
1045	#447	—	13	1	no	—
1046	#447	—	13	1	no	—
1047	C₄×Q₁₆	—	13	1	no	—
1048	C₄×Q₁₆	—	13	1	no	—
1049	C₄×Q₁₆	—	13	1	no	—
1050	C₄×Q₁₆	—	13	1	no	—
1051	C₄×SD₁₆	—	13	1	no	—
1052	C₄×SD₁₆	—	13	1	no	—
1053	C₄×SD₁₆	—	13	1	no	—
1054	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	C₈×D₄	—	13	1	no	—
1056	C₈×D₄	—	13	1	no	—
1057	C₈×D₄	—	13	1	no	—
1058	C₈×D₄	—	13	1	no	—
1059	C₈×D₄	—	13	1	no	—
1060	C₈×D₄	—	13	1	no	—
1061	C₈×D₄	—	13	1	no	—
1062	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	#431	—	13	1	no	—
1064	#431	—	13	1	no	—
1065	#416	—	13	1	no	—
1066	#416	—	13	1	no	—
1067	#416	—	13	1	no	—
1068	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	C₂×#103	—	13	1	no	—
1070	C₂×#103	—	13	1	no	—
1071	C₂×#103	—	13	1	no	—
1072	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	C₂×C₂²⋊C₈	—	13	1	no	—
1074	C₂×C₂²⋊C₈	—	13	1	no	—
1075	C₂×C₂²⋊C₈	—	13	1	no	—
1076	C₂×C₂²⋊C₈	—	13	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	C₂×#135	1	2	yes	—
1089	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1090	C₂×D₁₃	—	2	1	no	—
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	2	1	no	—
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	2	1	no	—
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	4	4	no	—
1098	C₂×D₁₃	—	4	1	no	—
1099	C₂×D₁₃	—	4	1	no	—
1100	C₂×D₁₃	—	4	1	no	—
1101	C₂×D₁₃	—	4	1	no	—
1102	C₂×D₁₃	—	4	1	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	8	2	no	—
1105	C₂×D₁₃	—	8	4	no	—
1106	C₂×D₁₃	—	16	2	no	—
1107	C₂×D₁₃	C₂×#135	1	2	yes	—
1108	C₂×D₁₃	C₂×#135	1	2	yes	—
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	2	2	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	2	1	no	—
1114	C₄×C₁₃	—	4	1	no	—
1115	C₄×C₁₃	—	4	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	—	4	1	no	—
1118	C₄×C₁₃	—	4	1	no	—
1119	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1120	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1121	Dic₁₃	—	2	1	no	—
1122	Dic₁₃	—	2	1	no	—
1123	Dic₁₃	—	2	2	no	—
1124	Dic₁₃	—	2	1	no	—
1125	Dic₁₃	—	2	1	no	—
1126	Dic₁₃	—	2	1	no	—
1127	Dic₁₃	—	4	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	C₂×#41	—	13	1	no	—
1133	C₂×#41	—	13	1	no	—
1134	C₂×#41	—	13	1	no	—
1135	C₂×#41	—	13	1	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	26	1	no	—
1138	C₂×#41	—	26	1	no	—
1139	C₂×#41	—	52	2	no	—
1140	C₂×#41	—	52	2	no	—
1141	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂²×Q₈	—	13	1	no	—
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	13	1	no	—
1145	C₂²×Q₈	—	13	1	no	—
1146	C₂²×Q₈	—	13	1	no	—
1147	C₂²×Q₈	—	13	1	no	—
1148	C₂²×Q₈	—	26	1	no	—
1149	C₂²×Q₈	—	26	1	no	—
1150	C₂²×Q₈	—	26	1	no	—
1151	C₂²×Q₈	—	52	2	no	—
1152	C₂²×Q₈	—	52	2	no	—
1153	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂²×D₄	—	13	1	no	—
1155	C₂²×D₄	—	13	1	no	—
1156	C₂²×D₄	—	13	1	no	—
1157	C₂²×D₄	—	26	1	no	—
1158	C₂²×D₄	—	26	1	no	—
1159	C₂²×D₄	—	26	1	no	—
1160	C₂³×C₄	—	13	1	no	—
1161	C₂³×C₄	—	13	1	no	—
1162	C₂³×C₄	—	26	1	no	—
1163	C₂³×C₄	—	26	1	no	—
1164	#135	—	52	2	no	—
1165	#135	—	52	2	no	—
1166	#135	—	52	2	no	—
1167	#135	—	52	2	no	—
1168	C₂×Q₁₆	—	13	1	no	—
1169	C₂×Q₁₆	—	13	1	no	—
1170	C₂×Q₁₆	—	13	1	no	—
1171	C₂×Q₁₆	—	13	1	no	—
1172	C₂×Q₁₆	—	13	1	no	—
1173	C₂×Q₁₆	—	13	1	no	—
1174	C₂×Q₁₆	—	13	1	no	—
1175	C₂×Q₁₆	—	13	1	no	—
1176	C₂×Q₁₆	—	52	2	no	—
1177	C₂×Q₁₆	—	52	2	no	—
1178	C₂×SD₁₆	—	13	1	no	—
1179	C₂×SD₁₆	—	13	1	no	—
1180	C₂×SD₁₆	—	13	1	no	—
1181	C₂×SD₁₆	—	13	1	no	—
1182	C₂×SD₁₆	—	13	1	no	—
1183	C₂×SD₁₆	—	13	1	no	—
1184	C₂×SD₁₆	—	13	1	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	52	2	no	—
1189	C₂×SD₁₆	—	52	2	no	—
1190	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1192	C₂×D₈	—	13	1	no	—
1193	C₂×D₈	—	13	1	no	—
1194	C₂×D₈	—	13	1	no	—
1195	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂²×C₈	—	13	1	no	—
1197	C₂²×C₈	—	13	1	no	—
1198	C₂²×C₈	—	13	1	no	—
1199	C₂²×C₈	—	13	1	no	—
1200	C₂²×C₈	—	13	1	no	—
1201	C₂²×C₈	—	13	1	no	—
1202	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1204	#126	—	2	1	no	—
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#125	—	13	1	no	—
1211	#125	—	26	1	no	—
1212	#125	—	26	1	no	—
1213	#125	C₂²×D₁₃	1	1	yes	characteristic
1214	#124	—	2	1	no	—
1215	#124	—	13	1	no	—
1216	#124	—	13	1	no	—
1217	#124	—	13	1	no	—
1218	#124	—	13	1	no	—
1219	#124	—	13	1	no	—
1220	#124	—	26	1	no	—
1221	#124	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#124	—	26	1	no	—
1229	#124	—	26	1	no	—
1230	#124	—	26	1	no	—
1231	#124	C₂²×D₁₃	1	1	yes	characteristic
1232	#123	—	2	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	#121	—	2	1	no	—
1267	#121	—	2	1	no	—
1268	#121	—	13	1	no	—
1269	#121	—	13	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	26	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	C₂²×D₁₃	1	1	yes	characteristic
1292	#121	C₂²×D₁₃	1	1	yes	characteristic
1293	#121	C₂²×D₁₃	1	1	yes	characteristic
1294	#120	—	26	1	no	—
1295	#120	—	26	1	no	—
1296	#120	—	26	1	no	—
1297	#120	—	26	1	no	—
1298	C₄×Q₈	—	13	1	no	—
1299	C₄×Q₈	—	13	1	no	—
1300	C₄×Q₈	—	13	1	no	—
1301	C₄×Q₈	—	13	1	no	—
1302	C₄×Q₈	—	13	1	no	—
1303	C₄×Q₈	—	26	1	no	—
1304	C₄×Q₈	—	26	1	no	—
1305	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	13	1	no	—
1309	C₄×D₄	—	13	1	no	—
1310	C₄×D₄	—	13	1	no	—
1311	C₄×D₄	—	13	1	no	—
1312	C₄×D₄	—	13	1	no	—
1313	C₄×D₄	—	13	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1333	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1334	#117	—	13	1	no	—
1335	#117	—	26	1	no	—
1336	#117	—	26	1	no	—
1337	#117	—	26	1	no	—
1338	#117	—	26	1	no	—
1339	#117	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	—	13	1	no	—
1341	C₂×C₄⋊C₄	—	13	1	no	—
1342	C₂×C₄⋊C₄	—	13	1	no	—
1343	C₂×C₄⋊C₄	—	26	1	no	—
1344	C₂×C₄⋊C₄	—	26	1	no	—
1345	C₂×C₄⋊C₄	—	26	1	no	—
1346	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1347	C₂×C₂²⋊C₄	—	13	1	no	—
1348	C₂×C₂²⋊C₄	—	13	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₂²⋊C₄	—	26	1	no	—
1353	C₂×C₂²⋊C₄	—	26	1	no	—
1354	C₂×C₂²⋊C₄	—	26	1	no	—
1355	C₂×C₂²⋊C₄	—	26	1	no	—
1356	C₂×C₂²⋊C₄	—	26	1	no	—
1357	C₂×C₄²	—	13	1	no	—
1358	C₂×C₄²	—	26	1	no	—
1359	#107	—	13	1	no	—
1360	#107	—	13	1	no	—
1361	#107	—	13	1	no	—
1362	#107	C₂²×D₁₃	1	1	yes	characteristic
1363	#106	—	13	1	no	—
1364	#106	—	13	1	no	—
1365	#106	C₂²×D₁₃	1	1	yes	characteristic
1366	#106	C₂²×D₁₃	1	1	yes	characteristic
1367	C₄⋊C₈	—	13	1	no	—
1368	C₄⋊C₈	—	13	1	no	—
1369	C₄⋊C₈	—	13	1	no	—
1370	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	C₂²×D₁₃	1	1	yes	characteristic
1387	#103	C₂²×D₁₃	1	1	yes	characteristic
1388	#103	C₂²×D₁₃	1	1	yes	characteristic
1389	#103	C₂²×D₁₃	1	1	yes	characteristic
1390	#103	C₂²×D₁₃	1	1	yes	characteristic
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	C₂²×D₁₃	1	1	yes	characteristic
1400	#102	C₂²×D₁₃	1	1	yes	characteristic
1401	#102	C₂²×D₁₃	1	1	yes	characteristic
1402	#102	C₂²×D₁₃	1	1	yes	characteristic
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1415	C₄×C₈	—	13	1	no	—
1416	C₄×C₈	—	13	1	no	—
1417	C₄×C₈	—	13	1	no	—
1418	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1419	C₂×C₁₃	—	2	2	no	—
1420	C₂×C₁₃	—	4	1	no	—
1421	C₂×C₁₃	—	8	1	no	—
1422	C₂×C₁₃	—	8	1	no	—
1423	C₂×C₁₃	#3484	1	1	yes	characteristic
1424	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1425	C₂×C₁₃	#3586	1	1	yes	characteristic
1426	D₁₃	—	2	2	no	—
1427	D₁₃	—	2	2	no	—
1428	D₁₃	—	4	1	no	—
1429	D₁₃	—	8	1	no	—
1430	D₁₃	—	8	1	no	—
1431	C₂⁴	—	13	1	no	—
1432	C₂⁴	—	13	1	no	—
1433	C₂⁴	—	26	1	no	—
1434	C₂⁴	—	26	1	no	—
1435	#41	—	2	2	no	—
1436	#41	—	4	1	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	1	no	—
1443	#41	—	52	4	no	—
1444	#41	—	52	1	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	1	no	—
1448	#41	—	52	4	no	—
1449	C₂×Q₈	—	2	1	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	4	1	no	—
1452	C₂×Q₈	—	13	1	no	—
1453	C₂×Q₈	—	13	1	no	—
1454	C₂×Q₈	—	13	1	no	—
1455	C₂×Q₈	—	13	1	no	—
1456	C₂×Q₈	—	26	1	no	—
1457	C₂×Q₈	—	26	1	no	—
1458	C₂×Q₈	—	26	1	no	—
1459	C₂×Q₈	—	26	1	no	—
1460	C₂×Q₈	—	26	2	no	—
1461	C₂×Q₈	—	26	2	no	—
1462	C₂×Q₈	—	26	2	no	—
1463	C₂×Q₈	—	26	1	no	—
1464	C₂×Q₈	—	26	1	no	—
1465	C₂×Q₈	—	26	2	no	—
1466	C₂×Q₈	—	26	2	no	—
1467	C₂×Q₈	—	52	1	no	—
1468	C₂×Q₈	—	52	1	no	—
1469	C₂×Q₈	—	52	1	no	—
1470	C₂×Q₈	—	52	4	no	—
1471	C₂×Q₈	—	52	1	no	—
1472	C₂×Q₈	—	52	1	no	—
1473	C₂×Q₈	—	52	1	no	—
1474	C₂×Q₈	—	52	1	no	—
1475	C₂×Q₈	—	52	4	no	—
1476	C₂×Q₈	—	52	4	no	—
1477	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1478	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	13	1	no	—
1485	C₂×D₄	—	13	1	no	—
1486	C₂×D₄	—	13	1	no	—
1487	C₂×D₄	—	13	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	4	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	52	1	no	—
1504	C₂×D₄	—	52	1	no	—
1505	C₂×D₄	—	52	1	no	—
1506	C₂×D₄	—	52	1	no	—
1507	C₂×D₄	—	52	4	no	—
1508	C₂×D₄	—	52	4	no	—
1509	C₂×D₄	—	52	4	no	—
1510	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1511	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	13	1	no	—
1518	C₂²×C₄	—	13	1	no	—
1519	C₂²×C₄	—	13	1	no	—
1520	C₂²×C₄	—	13	1	no	—
1521	C₂²×C₄	—	13	1	no	—
1522	C₂²×C₄	—	13	1	no	—
1523	C₂²×C₄	—	13	1	no	—
1524	C₂²×C₄	—	13	1	no	—
1525	C₂²×C₄	—	13	1	no	—
1526	C₂²×C₄	—	13	1	no	—
1527	C₂²×C₄	—	13	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	26	1	no	—
1533	C₂²×C₄	—	26	1	no	—
1534	C₂²×C₄	—	26	1	no	—
1535	C₂²×C₄	—	26	1	no	—
1536	C₂²×C₄	—	26	1	no	—
1537	C₂²×C₄	—	26	1	no	—
1538	C₂²×C₄	—	26	1	no	—
1539	C₂²×C₄	—	26	1	no	—
1540	C₂²×C₄	—	26	1	no	—
1541	C₂²×C₄	—	26	1	no	—
1542	C₂²×C₄	—	52	1	no	—
1543	C₂²×C₄	—	52	1	no	—
1544	C₂²×C₄	—	52	1	no	—
1545	C₂²×C₄	—	52	1	no	—
1546	C₂²×C₄	—	52	4	no	—
1547	C₂²×C₄	—	52	4	no	—
1548	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1550	Q₁₆	—	26	2	no	—
1551	Q₁₆	—	26	2	no	—
1552	Q₁₆	—	26	2	no	—
1553	Q₁₆	—	26	2	no	—
1554	Q₁₆	—	52	1	no	—
1555	Q₁₆	—	52	1	no	—
1556	Q₁₆	—	52	1	no	—
1557	Q₁₆	—	52	1	no	—
1558	SD₁₆	—	2	2	no	—
1559	SD₁₆	—	4	1	no	—
1560	SD₁₆	—	26	2	no	—
1561	SD₁₆	—	26	2	no	—
1562	SD₁₆	—	26	2	no	—
1563	SD₁₆	—	52	1	no	—
1564	SD₁₆	—	52	1	no	—
1565	SD₁₆	—	52	1	no	—
1566	SD₁₆	—	52	1	no	—
1567	SD₁₆	—	52	1	no	—
1568	SD₁₆	—	52	1	no	—
1569	SD₁₆	—	52	1	no	—
1570	D₈	—	4	1	no	—
1571	D₈	—	52	1	no	—
1572	D₈	—	52	1	no	—
1573	D₈	—	52	1	no	—
1574	C₂×C₈	—	4	1	no	—
1575	C₂×C₈	—	4	1	no	—
1576	C₂×C₈	—	13	1	no	—
1577	C₂×C₈	—	13	1	no	—
1578	C₂×C₈	—	13	1	no	—
1579	C₂×C₈	—	13	1	no	—
1580	C₂×C₈	—	52	1	no	—
1581	C₂×C₈	—	52	1	no	—
1582	C₂×C₈	—	52	1	no	—
1583	C₂×C₈	—	52	1	no	—
1584	C₂×C₈	—	52	1	no	—
1585	C₂×C₈	—	52	1	no	—
1586	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1588	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1589	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	13	1	no	—
1596	C₄⋊C₄	—	13	1	no	—
1597	C₄⋊C₄	—	13	1	no	—
1598	C₄⋊C₄	—	13	1	no	—
1599	C₄⋊C₄	—	13	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1619	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1620	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1621	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1622	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	13	1	no	—
1632	C₂²⋊C₄	—	13	1	no	—
1633	C₂²⋊C₄	—	13	1	no	—
1634	C₂²⋊C₄	—	13	1	no	—
1635	C₂²⋊C₄	—	13	1	no	—
1636	C₂²⋊C₄	—	13	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1667	C₄²	—	2	1	no	—
1668	C₄²	—	2	1	no	—
1669	C₄²	—	13	1	no	—
1670	C₄²	—	13	1	no	—
1671	C₄²	—	13	1	no	—
1672	C₄²	—	26	1	no	—
1673	C₄²	—	26	1	no	—
1674	C₄²	—	26	1	no	—
1675	C₄²	—	26	1	no	—
1676	C₄²	—	26	1	no	—
1677	C₄²	—	26	1	no	—
1678	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1679	C₁₃	#61564	1	1	yes	characteristic, complemented, Sylow
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	13	1	no	—
1683	C₂³	—	13	1	no	—
1684	C₂³	—	13	4	no	—
1685	C₂³	—	13	1	no	—
1686	C₂³	—	26	2	no	—
1687	C₂³	—	26	1	no	—
1688	C₂³	—	26	1	no	—
1689	C₂³	—	52	1	no	—
1690	C₂³	—	52	1	no	—
1691	C₂³	—	52	1	no	—
1692	C₂³	—	52	1	no	—
1693	C₂³	—	52	2	no	—
1694	C₂³	—	52	2	no	—
1695	C₂³	—	52	2	no	—
1696	C₂³	—	52	2	no	—
1697	C₂³	—	104	1	no	—
1698	C₂³	—	104	1	no	—
1699	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1700	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	4	2	no	—
1705	Q₈	—	13	2	no	—
1706	Q₈	—	26	4	no	—
1707	Q₈	—	26	1	no	—
1708	Q₈	—	26	1	no	—
1709	Q₈	—	26	1	no	—
1710	Q₈	—	26	1	no	—
1711	Q₈	—	26	1	no	—
1712	Q₈	—	26	1	no	—
1713	Q₈	—	26	1	no	—
1714	Q₈	—	52	2	no	—
1715	Q₈	—	52	2	no	—
1716	Q₈	—	52	2	no	—
1717	Q₈	—	52	2	no	—
1718	Q₈	—	104	1	no	—
1719	Q₈	#88256	1	2	yes	—
1720	D₄	—	2	2	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	4	2	no	—
1728	D₄	—	8	1	no	—
1729	D₄	—	26	2	no	—
1730	D₄	—	26	2	no	—
1731	D₄	—	26	2	no	—
1732	D₄	—	26	1	no	—
1733	D₄	—	26	1	no	—
1734	D₄	—	26	1	no	—
1735	D₄	—	26	1	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	52	2	no	—
1739	D₄	—	52	2	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	2	no	—
1746	D₄	—	104	1	no	—
1747	D₄	—	104	1	no	—
1748	D₄	—	104	1	no	—
1749	D₄	—	104	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	4	2	no	—
1761	C₂×C₄	—	4	2	no	—
1762	C₂×C₄	—	8	1	no	—
1763	C₂×C₄	—	8	1	no	—
1764	C₂×C₄	—	13	1	no	—
1765	C₂×C₄	—	13	1	no	—
1766	C₂×C₄	—	13	1	no	—
1767	C₂×C₄	—	13	1	no	—
1768	C₂×C₄	—	13	1	no	—
1769	C₂×C₄	—	26	2	no	—
1770	C₂×C₄	—	26	4	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	52	1	no	—
1784	C₂×C₄	—	52	1	no	—
1785	C₂×C₄	—	52	1	no	—
1786	C₂×C₄	—	52	1	no	—
1787	C₂×C₄	—	52	1	no	—
1788	C₂×C₄	—	52	2	no	—
1789	C₂×C₄	—	52	2	no	—
1790	C₂×C₄	—	52	2	no	—
1791	C₂×C₄	—	52	2	no	—
1792	C₂×C₄	—	52	2	no	—
1793	C₂×C₄	—	52	2	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	1	no	—
1796	C₂×C₄	—	52	1	no	—
1797	C₂×C₄	—	52	2	no	—
1798	C₂×C₄	—	52	2	no	—
1799	C₂×C₄	—	104	1	no	—
1800	C₂×C₄	—	104	1	no	—
1801	C₂×C₄	—	104	1	no	—
1802	C₂×C₄	—	104	1	no	—
1803	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1804	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1806	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	26	1	no	—
1813	C₈	—	26	1	no	—
1814	C₈	—	26	1	no	—
1815	C₈	—	26	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	13	2	no	—
1828	C₂²	—	13	2	no	—
1829	C₂²	—	26	1	no	—
1830	C₂²	—	26	1	no	—
1831	C₂²	—	26	1	no	—
1832	C₂²	—	26	1	no	—
1833	C₂²	—	26	1	no	—
1834	C₂²	—	26	1	no	—
1835	C₂²	—	26	1	no	—
1836	C₂²	—	52	4	no	—
1837	C₂²	—	52	1	no	—
1838	C₂²	—	52	1	no	—
1839	C₂²	—	52	1	no	—
1840	C₂²	—	52	1	no	—
1841	C₂²	—	52	1	no	—
1842	C₂²	—	52	1	no	—
1843	C₂²	—	104	2	no	—
1844	C₂²	—	104	4	no	—
1845	C₂²	—	208	2	no	—
1846	C₂²	D₁₃×#135	1	2	yes	—
1847	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	2	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₄	—	4	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	26	1	no	—
1859	C₄	—	26	1	no	—
1860	C₄	—	26	1	no	—
1861	C₄	—	26	2	no	—
1862	C₄	—	26	1	no	—
1863	C₄	—	26	1	no	—
1864	C₄	—	52	1	no	—
1865	C₄	—	52	1	no	—
1866	C₄	—	52	1	no	—
1867	C₄	—	52	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	C₂×#88256	1	1	yes	characteristic
1870	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	8	1	no	—
1874	C₂	—	8	1	no	—
1875	C₂	—	26	2	no	—
1876	C₂	—	26	2	no	—
1877	C₂	—	52	1	no	—
1878	C₂	—	104	1	no	—
1879	C₂	—	104	1	no	—
1880	C₂	#13128466	1	1	yes	characteristic
1881	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1882	C₂	#13129618	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×#3301	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3301	D₁₃
hypocenter	C₁₃	#61564
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3301

Complements

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

N	H ≅ G/N	type
1. #13128665	C₂	semidirect
2. D₁₃×#548	C₂	semidirect
3. #13126736	C₂	semidirect
4. #13126734	C₂	semidirect
5. #13126732	C₂	semidirect
6. #13126726	C₂	semidirect
7. #13126724	C₂	semidirect
8. #13126722	C₂	semidirect
9. #13126720	C₂	semidirect
10. #13126579	C₂	semidirect
11. #13126574	C₂	semidirect
12. #13126573	C₂	semidirect
13. #13126570	C₂	semidirect
14. #13126550	C₂	semidirect
15. #13126549	C₂	semidirect
16. #13126546	C₂	semidirect
17. #13126545	C₂	semidirect
18. #13125802	C₂	semidirect
19. #13125799	C₂	semidirect
20. #13125621	C₂	semidirect
21. #13125612	C₂	semidirect
22. #13125595	C₂	semidirect
23. #13125583	C₂	semidirect
24. #13124921	C₂	semidirect
25. #13124914	C₂	semidirect
26. #13124056	C₂	semidirect
27. #13124051	C₂	semidirect
28. C₂×#11718469	C₂	semidirect
29. D₁₃×#448	C₂	semidirect
30. #13123857	C₂	semidirect
31. C₁₃×#3301	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#548	C₂²	semidirect
37. C₂×#88204	C₂²	semidirect
38. #11719522	C₂²	semidirect
39. C₂²×#6107	C₂²	semidirect
40. C₂×#88170	C₂²	semidirect
41. C₂×SD₁₆×D₁₃	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
43. C₂×#88166	C₂²	semidirect
44. C₂²×Dic₅₂	C₂²	semidirect
45. C₂×#88158	C₂²	semidirect
48. #11719399	C₂²	semidirect
53. D₁₃×#124	C₂²	semidirect
59. D₁₃×C₂²⋊Q₈	C₂²	semidirect
61. #11719317	C₂²	semidirect
68. #11719303	C₂²	semidirect
69. #11719303	C₂²	semidirect
71. C₄×Q₈×D₁₃	C₂²	semidirect
74. #11719259	C₂²	semidirect
76. #11719257	C₂²	semidirect
77. #11719257	C₂²	semidirect
81. #11719234	C₂²	semidirect
83. #11719219	C₂²	semidirect
85. C₁₃×#488	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#481	C₂²	semidirect
88. C₁₃×#479	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₄×C₁₃×SD₁₆	C₂²	semidirect
95. C₈×D₄×C₁₃	C₂²	semidirect
96. C₁₃×#416	C₂²	semidirect
97. C₂×C₁₃×#103	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718834	C₂²	semidirect
103. #11718829	C₂²	semidirect
104. #11718827	C₂²	semidirect
106. #11718817	C₂²	semidirect
107. #11718816	C₂²	semidirect
108. #11718777	C₂²	semidirect
109. #11718776	C₂²	semidirect
110. C₈×C₂²⋊D₁₃	C₂²	semidirect
111. C₈×C₂²⋊D₁₃	C₂²	semidirect
113. C₂×#88060	C₂²	semidirect
114. #11718729	C₂²	semidirect
115. #11718724	C₂²	semidirect
116. #11718720	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718708	C₂²	semidirect
120. #11718702	C₂²	semidirect
121. #11718701	C₂²	semidirect
122. #11718701	C₂²	semidirect
123. #11718699	C₂²	semidirect
124. #11718699	C₂²	semidirect
125. #11718698	C₂²	semidirect
126. C₄×#6107	C₂²	semidirect
127. #11718689	C₂²	semidirect
128. C₄×#6105	C₂²	semidirect
129. #11718677	C₂²	semidirect
130. D₄×#1055	C₂²	semidirect
131. #11718663	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. C₂×#88050	C₂²	semidirect
134. #11718629	C₂²	semidirect
135. #11718548	C₂²	semidirect
137. #11718543	C₂²	semidirect
138. #11718534	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718525	C₂²	semidirect
141. #11718525	C₂²	semidirect
142. #11718525	C₂²	semidirect
143. #11718523	C₂²	semidirect
144. #11718523	C₂²	semidirect
145. #11718518	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718495	C₂²	semidirect
150. #11718494	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718475	C₂²	semidirect
153. #11718474	C₂²	semidirect
154. #11718472	C₂²	semidirect
155. #11718471	C₂²	semidirect
156. #11718469	C₂²	semidirect
157. #11718469	C₂²	semidirect
158. #11718469	C₂²	semidirect
159. #11718469	C₂²	semidirect
160. #11718469	C₂²	semidirect
161. #11718469	C₂²	semidirect
162. #11718469	C₂²	semidirect
163. #11718469	C₂²	semidirect
164. #11718468	C₂²	semidirect
167. #11718465	C₂²	semidirect
168. D₁₃×#103	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. #11718461	C₂²	semidirect
171. #11718459	C₂²	semidirect
172. #11718457	C₂²	semidirect
173. #11718451	C₂²	semidirect
174. #11718449	C₂²	semidirect
175. #11718448	C₂²	semidirect
176. #11718444	C₂²	semidirect
177. #11718444	C₂²	semidirect
178. #11718442	C₂²	semidirect
179. #11718439	C₂²	semidirect
180. #11718439	C₂²	semidirect
181. #11718437	C₂²	semidirect
182. #11718437	C₂²	semidirect
184. #11718435	C₂²	semidirect
186. #11718434	C₂²	semidirect
187. #11718433	C₂²	semidirect
188. #11718429	C₂²	semidirect
189. #11718428	C₂²	semidirect
190. #11718428	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718399	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718394	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718386	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. C₄×Dic₅₂	C₂²	semidirect
200. #11718357	C₂²	semidirect
201. C₈×D₅₂	C₂²	semidirect
202. #11718346	C₂²	semidirect
744. #3301	D₁₃	semidirect
787. C₂²×D₁₃	#135	semidirect
919. #553	C₂×D₁₃	semidirect
937. #548	C₂×D₁₃	semidirect
966. #488	C₂×D₁₃	semidirect
970. #485	C₂×D₁₃	semidirect
974. #481	C₂×D₁₃	semidirect
982. #479	C₂×D₁₃	semidirect
990. #466	C₂×D₁₃	semidirect
998. #465	C₂×D₁₃	semidirect
1010. #463	C₂×D₁₃	semidirect
1032. #449	C₂×D₁₃	semidirect
1042. #448	C₂×D₁₃	semidirect
1054. C₄×SD₁₆	C₂×D₁₃	semidirect
1062. C₈×D₄	C₂×D₁₃	semidirect
1068. #416	C₂×D₁₃	semidirect
1072. C₂×#103	C₂×D₁₃	semidirect
1679. C₁₃	#61564	semidirect

Maximal subgroups

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

subgroup	index
#13128665	2
D₁₃×#548	2
#13126736	2
#13126734	2
#13126732	2
#13126726	2
#13126724	2
#13126722	2
#13126720	2
#13126579	2
#13126574	2
#13126573	2
#13126570	2
#13126550	2
#13126549	2
#13126546	2
#13126545	2
#13125802	2
#13125799	2
#13125621	2
#13125612	2
#13125595	2
#13125583	2
#13124921	2
#13124914	2
#13124056	2
#13124051	2
C₂×#11718469	2
D₁₃×#448	2
#13123857	2
C₁₃×#3301	2
#61564	13