Subgroups — #16734327

Order 3328.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128224	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128165	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125951	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125949	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125943	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125941	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125936	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125934	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125928	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125926	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125917	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125915	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125906	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125904	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125895	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125893	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125884	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125882	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125279	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125260	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125179	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125156	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124289	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124289	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124058	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124054	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124052	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718381	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂²×#6127	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#525	C₂²	1	1	yes	characteristic
37	#11719538	—	2	1	no	—
38	#11719538	—	2	1	no	—
39	#11719537	C₂²	1	1	yes	characteristic
40	#11719537	C₂²	1	1	yes	characteristic
41	#11719537	C₂²	1	1	yes	characteristic
42	#11719537	C₂²	1	1	yes	characteristic
43	#11719537	C₂²	1	1	yes	characteristic, complemented
44	#11719535	C₂²	1	1	yes	characteristic
45	#11719535	C₂²	1	1	yes	characteristic
46	#11719533	—	2	1	no	—
47	#11719533	—	2	1	no	—
48	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
49	#11719530	C₂²	1	1	yes	characteristic
50	#11719530	C₂²	1	1	yes	characteristic
51	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
55	#11719521	C₂²	1	1	yes	characteristic
56	#11719521	C₂²	1	1	yes	characteristic
57	#11719510	C₂²	1	1	yes	characteristic
58	#11719510	C₂²	1	1	yes	characteristic
59	#11719509	—	2	1	no	—
60	#11719509	—	2	1	no	—
61	#11719496	—	2	1	no	—
62	#11719496	—	2	1	no	—
63	#11719496	C₂²	1	1	yes	characteristic
64	C₂×#88180	C₂²	1	1	yes	characteristic
65	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
66	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
67	#11719370	—	2	1	no	—
68	#11719370	—	2	1	no	—
69	#11719348	C₂²	1	1	yes	characteristic, complemented
70	#11719348	C₂²	1	1	yes	characteristic, complemented
71	#11719330	C₂²	1	1	yes	characteristic, complemented
72	#11719330	C₂²	1	1	yes	characteristic, complemented
73	#11719324	C₂²	1	1	yes	characteristic, complemented
74	#11719324	C₂²	1	1	yes	characteristic, complemented
75	#11719308	C₂²	1	1	yes	characteristic, complemented
76	#11719308	C₂²	1	1	yes	characteristic, complemented
77	#11719298	—	2	1	no	—
78	#11719298	—	2	1	no	—
79	#11719262	—	2	1	no	—
80	#11719262	—	2	1	no	—
81	#11719243	—	2	1	no	—
82	#11719243	—	2	1	no	—
83	#11719227	C₂²	1	1	yes	characteristic, complemented
84	#11719222	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#452	C₂²	1	1	yes	characteristic
86	C₁₃×#452	C₂²	1	1	yes	characteristic
87	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic
90	C₁₃×#449	C₂²	1	1	yes	characteristic
91	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
96	#11718900	C₂²	1	1	yes	characteristic
97	#11718900	C₂²	1	1	yes	characteristic
98	#11718899	C₂²	1	1	yes	characteristic
99	#11718899	C₂²	1	1	yes	characteristic
100	#11718894	C₂²	1	1	yes	characteristic, complemented
101	#11718894	C₂²	1	1	yes	characteristic, complemented
102	#11718889	C₂²	1	1	yes	characteristic, complemented
103	#11718888	C₂²	1	1	yes	characteristic, complemented
104	#11718879	C₂²	1	1	yes	characteristic, complemented
105	#11718878	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
107	#11718852	C₂²	1	1	yes	characteristic, complemented
108	#11718851	C₂²	1	1	yes	characteristic, complemented
109	#11718851	C₂²	1	1	yes	characteristic, complemented
110	#11718846	C₂²	1	1	yes	characteristic, complemented
111	#11718846	C₂²	1	1	yes	characteristic, complemented
112	#11718843	C₂²	1	1	yes	characteristic, complemented
113	#11718843	C₂²	1	1	yes	characteristic, complemented
114	#11718842	C₂²	1	1	yes	characteristic, complemented
115	#11718837	C₂²	1	1	yes	characteristic, complemented
116	#11718837	C₂²	1	1	yes	characteristic, complemented
117	#11718836	C₂²	1	1	yes	characteristic, complemented
118	#11718836	C₂²	1	1	yes	characteristic, complemented
119	#11718829	C₂²	1	1	yes	characteristic, complemented
120	#11718829	C₂²	1	1	yes	characteristic, complemented
121	#11718828	C₂²	1	1	yes	characteristic, complemented
122	#11718828	C₂²	1	1	yes	characteristic, complemented
123	#11718827	C₂²	1	1	yes	characteristic, complemented
124	#11718827	C₂²	1	1	yes	characteristic, complemented
125	#11718826	C₂²	1	1	yes	characteristic, complemented
126	#11718826	C₂²	1	1	yes	characteristic, complemented
127	#11718824	C₂²	1	1	yes	characteristic, complemented
128	#11718824	C₂²	1	1	yes	characteristic, complemented
129	#11718823	C₂²	1	1	yes	characteristic, complemented
130	#11718823	C₂²	1	1	yes	characteristic, complemented
131	#11718816	C₂²	1	1	yes	characteristic, complemented
132	#11718815	C₂²	1	1	yes	characteristic, complemented
133	#11718815	C₂²	1	1	yes	characteristic, complemented
134	#11718814	C₂²	1	1	yes	characteristic, complemented
135	#11718814	C₂²	1	1	yes	characteristic, complemented
136	#11718812	C₂²	1	1	yes	characteristic, complemented
137	#11718811	C₂²	1	1	yes	characteristic, complemented
138	#11718811	C₂²	1	1	yes	characteristic, complemented
139	#11718774	C₂²	1	1	yes	characteristic, complemented
140	#11718774	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88055	C₂²	1	1	yes	characteristic, complemented
142	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
145	#11718711	C₂²	1	1	yes	characteristic, complemented
146	#11718708	C₂²	1	1	yes	characteristic
147	#11718708	C₂²	1	1	yes	characteristic
148	#11718707	C₂²	1	1	yes	characteristic, complemented
149	#11718701	C₂²	1	1	yes	characteristic, complemented
150	#11718698	C₂²	1	1	yes	characteristic
151	#11718698	C₂²	1	1	yes	characteristic
152	#11718697	C₂²	1	1	yes	characteristic, complemented
153	#11718663	C₂²	1	1	yes	characteristic, complemented
154	#11718663	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718480	C₂²	1	1	yes	characteristic, complemented
157	#11718479	C₂²	1	1	yes	characteristic, complemented
158	#11718479	C₂²	1	1	yes	characteristic, complemented
159	#11718461	C₂²	1	1	yes	characteristic, complemented
160	#11718461	C₂²	1	1	yes	characteristic, complemented
161	#11718459	C₂²	1	1	yes	characteristic, complemented
162	#11718459	C₂²	1	1	yes	characteristic, complemented
163	#11718458	C₂²	1	1	yes	characteristic, complemented
164	#11718458	C₂²	1	1	yes	characteristic, complemented
165	#11718456	C₂²	1	1	yes	characteristic, complemented
166	#11718456	C₂²	1	1	yes	characteristic, complemented
167	#11718454	C₂²	1	1	yes	characteristic, complemented
168	#11718454	C₂²	1	1	yes	characteristic, complemented
169	#11718453	C₂²	1	1	yes	characteristic, complemented
170	#11718453	C₂²	1	1	yes	characteristic, complemented
171	#11718448	C₂²	1	1	yes	characteristic, complemented
172	#11718448	C₂²	1	1	yes	characteristic, complemented
173	#11718447	C₂²	1	1	yes	characteristic, complemented
174	#11718447	C₂²	1	1	yes	characteristic, complemented
175	#11718429	C₂²	1	1	yes	characteristic, complemented
176	#11718429	C₂²	1	1	yes	characteristic, complemented
177	#11718428	C₂²	1	1	yes	characteristic, complemented
178	#11718428	C₂²	1	1	yes	characteristic, complemented
179	#11718426	C₂²	1	1	yes	characteristic, complemented
180	#11718426	C₂²	1	1	yes	characteristic, complemented
181	#11718425	C₂²	1	1	yes	characteristic, complemented
182	#11718425	C₂²	1	1	yes	characteristic, complemented
183	#11718423	C₂²	1	1	yes	characteristic, complemented
184	#11718423	C₂²	1	1	yes	characteristic, complemented
185	#11718421	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718400	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718395	C₂²	1	1	yes	characteristic
190	#11718395	C₂²	1	1	yes	characteristic
191	#11718394	C₂²	1	1	yes	characteristic
192	#11718394	C₂²	1	1	yes	characteristic
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718381	C₂²	1	1	yes	characteristic, complemented
196	#11718381	C₂²	1	1	yes	characteristic, complemented
197	#11718381	C₂²	1	1	yes	characteristic, complemented
198	#11718381	C₂²	1	1	yes	characteristic, complemented
199	#11718381	C₂²	1	1	yes	characteristic, complemented
200	#11718381	C₂²	1	1	yes	characteristic, complemented
201	#11718381	C₂²	1	1	yes	characteristic, complemented
202	#11718381	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	4	2	no	—
206	C₂×C₁₃×#41	—	4	2	no	—
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
212	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₃	—	2	1	no	—
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₃	—	2	1	no	—
216	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₂²⋊D₁₃	—	2	1	no	—
218	C₂×#6127	—	2	1	no	—
219	C₂×#6127	—	2	1	no	—
220	C₂×#6127	—	4	2	no	—
221	C₂×#6127	—	4	2	no	—
222	C₂×#6127	C₂³	1	1	yes	characteristic
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
230	C₁₃×#135	—	4	2	no	—
231	C₁₃×#135	—	4	2	no	—
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₁₃×#123	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#120	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	#88207	—	2	1	no	—
252	#88207	—	2	1	no	—
253	#88207	—	2	1	no	—
254	#88207	—	2	1	no	—
255	#88207	—	2	1	no	—
256	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
258	#88204	—	4	2	no	—
259	#88204	—	4	2	no	—
260	#88204	—	4	2	no	—
261	#88204	—	4	2	no	—
262	#88201	C₂³	1	1	yes	characteristic
263	#88201	C₂³	1	1	yes	characteristic
264	#88201	C₂³	1	1	yes	characteristic
265	#88201	C₂³	1	1	yes	characteristic
266	#88201	C₂³	1	1	yes	characteristic
267	#88200	—	2	1	no	—
268	#88200	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
273	#88198	C₂³	1	1	yes	characteristic
274	#88198	C₂³	1	1	yes	characteristic
275	#88198	C₂³	1	1	yes	characteristic
276	#88198	C₂³	1	1	yes	characteristic
277	#88198	C₂³	1	1	yes	characteristic
278	C₂×#6107	C₂³	1	1	yes	characteristic
279	C₂×#6107	C₂³	1	1	yes	characteristic
280	C₂×#6107	C₂³	1	1	yes	characteristic
281	C₂×#6107	C₂³	1	1	yes	characteristic
282	C₂×#6106	C₂³	1	1	yes	characteristic
283	C₂×#6106	C₂³	1	1	yes	characteristic
284	C₂×#6106	C₂³	1	1	yes	characteristic
285	C₂×#6106	C₂³	1	1	yes	characteristic
286	#88194	C₂³	1	1	yes	characteristic
287	#88194	C₂³	1	1	yes	characteristic
288	#88194	C₂³	1	1	yes	characteristic
289	#88194	C₂³	1	1	yes	characteristic
290	#88194	C₂³	1	1	yes	characteristic
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88193	—	2	1	no	—
298	#88193	—	2	1	no	—
299	#88193	—	2	1	no	—
300	#88193	—	2	1	no	—
301	#88193	—	2	1	no	—
302	#88193	—	2	1	no	—
303	#88192	—	2	1	no	—
304	#88192	—	2	1	no	—
305	#88192	—	2	1	no	—
306	#88192	—	2	1	no	—
307	#88192	—	2	1	no	—
308	#88192	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	—	2	1	no	—
311	#88191	—	2	1	no	—
312	#88191	—	2	1	no	—
313	#88190	—	2	1	no	—
314	#88190	—	2	1	no	—
315	#88190	C₂³	1	1	yes	characteristic
316	#88190	C₂³	1	1	yes	characteristic
317	#88190	C₂³	1	1	yes	characteristic
318	#88190	C₂³	1	1	yes	characteristic
319	#88190	C₂³	1	1	yes	characteristic
320	#88189	—	2	1	no	—
321	#88189	—	2	1	no	—
322	#88189	—	2	1	no	—
323	#88189	—	2	1	no	—
324	#88189	—	2	1	no	—
325	#88189	—	2	1	no	—
326	D₄×Dic₁₃	—	2	1	no	—
327	D₄×Dic₁₃	—	2	1	no	—
328	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
329	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×#6105	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	C₂×#6104	C₂³	1	1	yes	characteristic
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	#88184	—	2	1	no	—
339	#88184	—	2	1	no	—
340	#88184	—	2	1	no	—
341	#88184	—	2	1	no	—
342	#88184	C₂³	1	1	yes	characteristic
343	#88184	C₂³	1	1	yes	characteristic
344	#88183	—	2	1	no	—
345	#88183	—	2	1	no	—
346	#88183	—	2	1	no	—
347	#88183	—	2	1	no	—
348	#88183	—	2	1	no	—
349	C₄×C₂²⋊D₁₃	—	2	1	no	—
350	C₄×C₂²⋊D₁₃	—	2	1	no	—
351	C₄×C₂²⋊D₁₃	—	2	1	no	—
352	C₄×C₂²⋊D₁₃	—	2	1	no	—
353	C₄×C₂²⋊D₁₃	—	2	1	no	—
354	C₄×C₂²⋊D₁₃	—	2	1	no	—
355	C₄×C₂²⋊D₁₃	—	2	1	no	—
356	C₄×C₂²⋊D₁₃	—	2	1	no	—
357	C₄×C₂²⋊D₁₃	—	2	1	no	—
358	C₄×C₂²⋊D₁₃	—	2	1	no	—
359	C₄×C₂²⋊D₁₃	—	2	1	no	—
360	C₄×C₂²⋊D₁₃	—	2	1	no	—
361	#88180	—	2	1	no	—
362	#88180	D₄	1	1	yes	characteristic
363	#88180	D₄	1	1	yes	characteristic
364	#88180	D₄	1	1	yes	characteristic
365	#88180	D₄	1	1	yes	characteristic
366	#88180	C₂³	1	1	yes	characteristic
367	#88180	C₂³	1	1	yes	characteristic
368	#88180	C₂³	1	1	yes	characteristic
369	#88180	C₂³	1	1	yes	characteristic
370	#88180	C₂³	1	1	yes	characteristic
371	C₂×C₄⋊Dic₁₃	D₄	1	1	yes	characteristic
372	C₂×C₄⋊Dic₁₃	D₄	1	1	yes	characteristic
373	#88178	—	2	1	no	—
374	#88178	—	2	1	no	—
375	#88178	—	2	1	no	—
376	#88178	—	2	1	no	—
377	#88178	C₂³	1	1	yes	characteristic
378	#88178	C₂³	1	1	yes	characteristic
379	C₂×C₄×Dic₁₃	—	2	1	no	—
380	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
381	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
382	C₂²×#1055	C₂³	1	1	yes	characteristic
383	C₂²×#1055	C₂³	1	1	yes	characteristic
384	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
385	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
386	#88158	—	4	2	no	—
387	#88158	—	4	2	no	—
388	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
389	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
390	C₂×#6095	C₂³	1	1	yes	characteristic
391	C₂×#6095	C₂³	1	1	yes	characteristic
392	C₂×#6095	C₂³	1	1	yes	characteristic
393	C₂×#6095	C₂³	1	1	yes	characteristic
394	#88152	—	2	1	no	—
395	#88152	—	2	1	no	—
396	#88151	—	2	1	no	—
397	#88151	—	2	1	no	—
398	#88147	C₂³	1	1	yes	characteristic
399	#88147	C₂³	1	1	yes	characteristic
400	#88144	—	2	1	no	—
401	#88144	—	2	1	no	—
402	#88144	C₂³	1	1	yes	characteristic
403	#88144	C₂³	1	1	yes	characteristic
404	#88143	—	2	1	no	—
405	#88143	—	2	1	no	—
406	#88142	C₂³	1	1	yes	characteristic
407	#88142	C₂³	1	1	yes	characteristic
408	#88141	C₂³	1	1	yes	characteristic
409	#88141	C₂³	1	1	yes	characteristic
410	#88140	—	2	1	no	—
411	#88140	—	2	1	no	—
412	#88139	—	2	1	no	—
413	#88139	—	2	1	no	—
414	#88137	—	2	1	no	—
415	#88137	—	2	1	no	—
416	#88137	—	2	1	no	—
417	#88137	—	2	1	no	—
418	#88135	—	2	1	no	—
419	#88135	—	2	1	no	—
420	#88133	—	2	1	no	—
421	#88133	—	2	1	no	—
422	#88133	—	2	1	no	—
423	#88133	—	2	1	no	—
424	#88133	—	2	1	no	—
425	#88133	—	2	1	no	—
426	#88132	—	2	1	no	—
427	#88132	—	2	1	no	—
428	#88132	—	2	1	no	—
429	#88132	—	2	1	no	—
430	#88126	—	2	1	no	—
431	C₄²×D₁₃	—	2	1	no	—
432	C₄×Dic₂₆	—	2	1	no	—
433	C₄×Dic₂₆	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
439	C₁₃×#102	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	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	#88056	C₂³	1	1	yes	characteristic
466	#88055	C₂³	1	1	yes	characteristic
467	#88055	C₂³	1	1	yes	characteristic
468	#88055	C₂³	1	1	yes	characteristic
469	#88055	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	#88054	C₂³	1	1	yes	characteristic
472	#88054	C₂³	1	1	yes	characteristic
473	#88054	C₂³	1	1	yes	characteristic
474	#88054	C₂³	1	1	yes	characteristic
475	#88054	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88050	C₂³	1	1	yes	characteristic
484	#88050	C₂³	1	1	yes	characteristic
485	#88050	C₂³	1	1	yes	characteristic
486	#88049	C₂³	1	1	yes	characteristic
487	#88049	C₂³	1	1	yes	characteristic
488	#88049	C₂³	1	1	yes	characteristic
489	#88049	C₂³	1	1	yes	characteristic
490	#60797	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	—	2	1	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	4	no	—
505	C₁₃×#41	—	4	4	no	—
506	C₂×Q₈×C₁₃	—	2	1	no	—
507	C₂×Q₈×C₁₃	—	4	1	no	—
508	C₂×Q₈×C₁₃	—	4	1	no	—
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	4	1	no	—
521	C₂×D₄×C₁₃	—	4	1	no	—
522	C₂×D₄×C₁₃	—	4	4	no	—
523	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₁₃	—	2	2	no	—
527	C₂²×C₄×C₁₃	—	2	2	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	4	4	no	—
535	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	2	1	no	—
557	C₂×C₂²⋊D₁₃	—	2	1	no	—
558	C₂×C₂²⋊D₁₃	—	4	4	no	—
559	C₂²×Dic₁₃	—	2	1	no	—
560	C₂²×Dic₁₃	—	2	1	no	—
561	C₂²×Dic₁₃	—	2	1	no	—
562	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
566	#6127	—	2	2	no	—
567	#6127	—	2	2	no	—
568	#6127	—	2	2	no	—
569	#6127	—	2	2	no	—
570	#6127	—	2	2	no	—
571	#6127	—	2	2	no	—
572	#6127	—	4	1	no	—
573	#6127	—	4	1	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	1	no	—
576	#6127	—	4	4	no	—
577	#6127	—	4	4	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	4	1	no	—
580	C₂×D₅₂	—	4	1	no	—
581	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
582	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
583	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	4	4	no	—
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	4	1	no	—
596	C₂×Dic₂₆	—	4	1	no	—
597	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
600	C₁₃×Q₁₆	—	4	1	no	—
601	C₁₃×Q₁₆	—	4	1	no	—
602	C₁₃×SD₁₆	—	4	1	no	—
603	C₁₃×SD₁₆	—	4	1	no	—
604	C₁₃×SD₁₆	—	4	1	no	—
605	C₁₃×SD₁₆	—	4	1	no	—
606	C₁₃×D₈	—	4	1	no	—
607	C₁₃×D₈	—	4	1	no	—
608	C₂×C₈×C₁₃	—	2	2	no	—
609	C₂×C₈×C₁₃	—	2	2	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	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₄²×C₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
647	#6107	—	4	1	no	—
648	#6107	—	4	1	no	—
649	#6107	—	4	1	no	—
650	#6107	—	4	1	no	—
651	#6106	—	4	1	no	—
652	#6106	—	4	1	no	—
653	#6106	—	4	1	no	—
654	#6106	—	4	1	no	—
655	#6105	—	4	1	no	—
656	#6105	—	4	1	no	—
657	#6105	—	4	1	no	—
658	#6105	—	4	1	no	—
659	#6104	—	4	1	no	—
660	#6104	—	4	1	no	—
661	#6104	—	4	1	no	—
662	#6104	—	4	1	no	—
663	#6103	—	2	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	C₄⋊Dic₁₃	—	2	1	no	—
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	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	C₄×Dic₁₃	—	2	1	no	—
710	C₄×Dic₁₃	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
719	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
720	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
722	C₂×#1055	—	2	2	no	—
723	C₂×#1055	—	2	2	no	—
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	D₁₀₄	—	4	1	no	—
731	D₁₀₄	—	4	1	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	#6095	—	4	1	no	—
736	#3455	—	13	1	no	—
737	#3449	—	13	1	no	—
738	#3225	—	13	1	no	—
739	#3225	—	13	1	no	—
740	#3225	—	13	1	no	—
741	#3225	—	13	1	no	—
742	#3224	—	13	1	no	—
743	#3224	—	13	1	no	—
744	#3224	—	13	1	no	—
745	#3224	—	13	1	no	—
746	#3223	—	13	1	no	—
747	#3223	—	13	1	no	—
748	#3222	—	13	1	no	—
749	#3222	—	13	1	no	—
750	#3221	—	13	1	no	—
751	#3221	—	13	1	no	—
752	#3220	—	13	1	no	—
753	#3220	—	13	1	no	—
754	#3150	—	13	1	no	—
755	#3147	—	13	1	no	—
756	#3135	—	13	1	no	—
757	#3131	—	13	1	no	—
758	#3035	—	13	1	no	—
759	#3035	—	13	1	no	—
760	#3035	—	13	1	no	—
761	#3035	—	13	1	no	—
762	#3002	—	13	1	no	—
763	#3002	—	13	1	no	—
764	#3002	—	13	1	no	—
765	#3002	D₁₃	1	1	yes	characteristic, complemented
766	C₂×#433	—	13	1	no	—
767	C₂³×C₁₃	—	2	2	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	4	1	no	—
772	C₂³×C₁₃	—	4	1	no	—
773	C₂³×C₁₃	—	4	2	no	—
774	C₂³×C₁₃	—	8	1	no	—
775	C₂³×C₁₃	—	8	1	no	—
776	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	—	2	1	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	1	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	8	1	no	—
784	C₂²×D₁₃	—	8	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	4	2	no	—
792	D₄×C₁₃	—	2	1	no	—
793	D₄×C₁₃	—	2	1	no	—
794	D₄×C₁₃	—	2	1	no	—
795	D₄×C₁₃	—	2	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	4	2	no	—
799	D₄×C₁₃	—	4	2	no	—
800	D₄×C₁₃	—	4	2	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	D₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	—	2	2	no	—
807	C₂×C₄×C₁₃	—	2	2	no	—
808	C₂×C₄×C₁₃	—	2	2	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	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	4	2	no	—
819	C₂×C₄×C₁₃	—	4	2	no	—
820	C₂×C₄×C₁₃	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	4	2	no	—
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
828	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
829	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
830	C₂²⋊D₁₃	—	4	2	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	8	1	no	—
836	C₂²⋊D₁₃	—	8	1	no	—
837	C₂²⋊D₁₃	—	8	1	no	—
838	C₂²⋊D₁₃	—	8	1	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂²⋊D₁₃	—	8	1	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	4	1	no	—
853	C₂×Dic₁₃	—	4	1	no	—
854	C₂×Dic₁₃	—	4	1	no	—
855	C₂×Dic₁₃	—	4	1	no	—
856	C₂×Dic₁₃	—	4	2	no	—
857	C₂×Dic₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	8	1	no	—
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
866	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	4	2	no	—
874	C₄×D₁₃	—	4	2	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	—	8	1	no	—
880	C₄×D₁₃	—	8	1	no	—
881	Dic₂₆	—	2	1	no	—
882	Dic₂₆	—	2	1	no	—
883	Dic₂₆	—	2	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	8	1	no	—
889	Dic₂₆	—	8	1	no	—
890	C₈×C₁₃	—	2	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	#1055	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	C₂²×#41	—	13	1	no	—
899	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
900	C₂×#135	—	13	1	no	—
901	C₂×#135	—	13	1	no	—
902	C₂×#135	—	13	1	no	—
903	C₂×#135	—	13	1	no	—
904	C₂×#135	—	13	1	no	—
905	C₂×#135	—	13	1	no	—
906	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
907	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#542	—	13	1	no	—
909	#542	—	13	1	no	—
910	#542	—	13	1	no	—
911	#542	—	13	1	no	—
912	#541	—	13	1	no	—
913	#541	—	13	1	no	—
914	#540	—	13	1	no	—
915	#540	—	13	1	no	—
916	#539	—	26	1	no	—
917	#539	—	26	1	no	—
918	#538	—	26	1	no	—
919	#538	—	26	1	no	—
920	#537	—	26	1	no	—
921	#537	—	26	1	no	—
922	#536	—	13	1	no	—
923	#536	—	13	1	no	—
924	#536	—	13	1	no	—
925	#536	—	13	1	no	—
926	#535	—	13	1	no	—
927	#535	—	13	1	no	—
928	#535	—	13	1	no	—
929	#535	—	13	1	no	—
930	#534	—	26	1	no	—
931	#534	—	26	1	no	—
932	#533	—	13	1	no	—
933	#532	—	13	1	no	—
934	#532	—	13	1	no	—
935	#532	—	13	1	no	—
936	#532	—	13	1	no	—
937	#532	—	13	1	no	—
938	#529	—	26	1	no	—
939	#529	—	26	1	no	—
940	#529	—	26	1	no	—
941	#529	—	26	1	no	—
942	#525	—	13	1	no	—
943	#525	—	26	1	no	—
944	#525	—	26	1	no	—
945	#525	—	26	1	no	—
946	#525	—	26	1	no	—
947	#525	C₂×D₁₃	1	1	yes	characteristic
948	C₄×#41	—	13	1	no	—
949	C₄×#41	—	13	1	no	—
950	C₂×#117	—	13	1	no	—
951	#497	—	13	1	no	—
952	#497	—	13	1	no	—
953	#497	—	13	1	no	—
954	#497	—	13	1	no	—
955	#496	—	13	1	no	—
956	#496	—	13	1	no	—
957	#496	—	13	1	no	—
958	#496	—	13	1	no	—
959	#495	—	13	1	no	—
960	#495	—	13	1	no	—
961	#495	—	13	1	no	—
962	#495	—	13	1	no	—
963	#494	—	13	1	no	—
964	#493	—	13	1	no	—
965	#492	—	13	1	no	—
966	#492	—	13	1	no	—
967	#491	—	13	1	no	—
968	#491	—	13	1	no	—
969	#490	—	13	1	no	—
970	#490	—	13	1	no	—
971	#489	—	13	1	no	—
972	#489	—	13	1	no	—
973	#489	—	13	1	no	—
974	#489	—	13	1	no	—
975	#488	—	13	1	no	—
976	#488	—	13	1	no	—
977	#488	—	13	1	no	—
978	#488	—	13	1	no	—
979	#487	—	13	1	no	—
980	#487	—	13	1	no	—
981	#486	—	13	1	no	—
982	#486	—	13	1	no	—
983	#464	—	13	1	no	—
984	#464	—	13	1	no	—
985	#464	—	13	1	no	—
986	#464	—	13	1	no	—
987	#464	—	13	1	no	—
988	#464	—	13	1	no	—
989	#464	—	13	1	no	—
990	#464	—	13	1	no	—
991	#463	—	13	1	no	—
992	#463	—	13	1	no	—
993	#463	—	13	1	no	—
994	#463	—	13	1	no	—
995	#463	—	13	1	no	—
996	#463	—	13	1	no	—
997	#463	—	13	1	no	—
998	#463	—	13	1	no	—
999	#462	—	13	1	no	—
1000	#462	—	13	1	no	—
1001	#462	—	13	1	no	—
1002	#462	—	13	1	no	—
1003	#461	—	13	1	no	—
1004	#461	—	13	1	no	—
1005	#461	—	13	1	no	—
1006	#461	—	13	1	no	—
1007	#460	—	13	1	no	—
1008	#460	—	13	1	no	—
1009	#460	—	13	1	no	—
1010	#460	—	13	1	no	—
1011	#459	—	13	1	no	—
1012	#459	—	13	1	no	—
1013	#459	—	13	1	no	—
1014	#459	—	13	1	no	—
1015	#452	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	C₂×D₁₃	1	1	yes	characteristic
1022	#452	C₂×D₁₃	1	1	yes	characteristic
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#450	—	13	1	no	—
1028	#450	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	#449	—	13	1	no	—
1032	#449	—	13	1	no	—
1033	#449	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	C₂×D₁₃	1	1	yes	characteristic
1038	#449	C₂×D₁₃	1	1	yes	characteristic
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#433	—	13	1	no	—
1048	#433	—	13	1	no	—
1049	#433	—	13	1	no	—
1050	#433	—	13	1	no	—
1051	#433	—	13	1	no	—
1052	#433	—	13	1	no	—
1053	#433	—	13	1	no	—
1054	#433	—	13	1	no	—
1055	C₂×C₄⋊C₈	—	13	1	no	—
1056	C₂×C₄⋊C₈	—	13	1	no	—
1057	#416	—	13	1	no	—
1058	#416	—	13	1	no	—
1059	#416	—	13	1	no	—
1060	#416	—	13	1	no	—
1061	#416	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	C₂×C₂²⋊C₈	—	13	1	no	—
1066	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
1067	C₂×#97	—	13	1	no	—
1068	C₂×C₄×C₈	—	13	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	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	—	8	2	no	—
1087	C₂²×C₁₃	—	8	4	no	—
1088	C₂²×C₁₃	#535	1	2	yes	—
1089	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	4	1	no	—
1099	C₂×D₁₃	—	8	4	no	—
1100	C₄×C₁₃	—	2	1	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	#535	1	2	yes	—
1108	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1109	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1110	Dic₁₃	—	2	1	no	—
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	2	1	no	—
1115	Dic₁₃	—	2	1	no	—
1116	Dic₁₃	—	2	1	no	—
1117	Dic₁₃	—	2	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	C₂×#41	—	2	1	no	—
1124	C₂×#41	—	2	1	no	—
1125	C₂×#41	—	4	2	no	—
1126	C₂×#41	—	4	2	no	—
1127	C₂×#41	—	13	1	no	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	13	1	no	—
1131	C₂×#41	—	13	1	no	—
1132	C₂×#41	—	26	1	no	—
1133	C₂×#41	—	26	1	no	—
1134	C₂×#41	—	52	2	no	—
1135	C₂×#41	—	52	2	no	—
1136	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂²×Q₈	—	13	1	no	—
1142	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂²×D₄	—	2	1	no	—
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	26	1	no	—
1146	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂³×C₄	—	2	1	no	—
1148	C₂³×C₄	—	26	1	no	—
1149	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1150	#135	—	4	2	no	—
1151	#135	—	4	2	no	—
1152	#135	—	52	2	no	—
1153	#135	—	52	2	no	—
1154	#135	—	52	2	no	—
1155	#135	—	52	2	no	—
1156	#135	—	52	2	no	—
1157	#135	—	52	2	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	13	1	no	—
1163	C₂×Q₁₆	—	13	1	no	—
1164	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×D₈	—	13	1	no	—
1186	C₂×D₈	—	13	1	no	—
1187	C₂×D₈	—	13	1	no	—
1188	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	—	13	1	no	—
1192	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄⋊Q₈	—	13	1	no	—
1195	C₄⋊Q₈	—	13	1	no	—
1196	C₄⋊Q₈	—	13	1	no	—
1197	C₄⋊Q₈	—	13	1	no	—
1198	C₄⋊Q₈	—	13	1	no	—
1199	C₄⋊Q₈	—	13	1	no	—
1200	C₄⋊Q₈	—	13	1	no	—
1201	#127	—	13	1	no	—
1202	#127	—	13	1	no	—
1203	#127	—	13	1	no	—
1204	#127	—	13	1	no	—
1205	#127	—	13	1	no	—
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#126	—	26	1	no	—
1211	#126	—	26	1	no	—
1212	#126	—	26	1	no	—
1213	#126	—	26	1	no	—
1214	#125	—	13	1	no	—
1215	#125	—	13	1	no	—
1216	#125	—	26	1	no	—
1217	#125	—	26	1	no	—
1218	#125	—	26	1	no	—
1219	#125	—	26	1	no	—
1220	#124	—	13	1	no	—
1221	#124	—	13	1	no	—
1222	#124	—	13	1	no	—
1223	#124	—	13	1	no	—
1224	#124	—	13	1	no	—
1225	#124	—	13	1	no	—
1226	#124	—	13	1	no	—
1227	#124	—	13	1	no	—
1228	#124	—	13	1	no	—
1229	#124	—	13	1	no	—
1230	#124	—	26	1	no	—
1231	#124	—	26	1	no	—
1232	#124	—	26	1	no	—
1233	#124	—	26	1	no	—
1234	#123	—	2	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	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	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	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	26	1	no	—
1273	#121	—	26	1	no	—
1274	#121	—	26	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	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	C₂²×D₁₃	1	1	yes	characteristic
1295	#121	C₂²×D₁₃	1	1	yes	characteristic
1296	#120	—	2	1	no	—
1297	#120	—	26	1	no	—
1298	#120	—	26	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	C₄×Q₈	—	13	1	no	—
1307	C₄×Q₈	—	13	1	no	—
1308	C₄×Q₈	—	13	1	no	—
1309	C₄×Q₈	—	13	1	no	—
1310	C₄×Q₈	—	26	1	no	—
1311	C₄×Q₈	—	26	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	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	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	#117	—	13	1	no	—
1335	#117	—	13	1	no	—
1336	#117	—	13	1	no	—
1337	#117	—	13	1	no	—
1338	#117	—	13	1	no	—
1339	#117	—	13	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	13	1	no	—
1342	#117	—	13	1	no	—
1343	#117	—	26	1	no	—
1344	#117	—	26	1	no	—
1345	#117	C₂²×D₁₃	1	1	yes	characteristic
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	13	1	no	—
1348	C₂×C₂²⋊C₄	—	13	1	no	—
1349	C₂×C₂²⋊C₄	—	13	1	no	—
1350	C₂×C₄²	—	13	1	no	—
1351	C₂×C₄²	—	13	1	no	—
1352	C₂×C₄²	—	26	1	no	—
1353	C₂×C₄²	—	26	1	no	—
1354	C₄⋊C₈	—	13	1	no	—
1355	C₄⋊C₈	—	13	1	no	—
1356	C₄⋊C₈	—	13	1	no	—
1357	C₄⋊C₈	—	13	1	no	—
1358	C₄⋊C₈	—	13	1	no	—
1359	C₄⋊C₈	—	13	1	no	—
1360	C₄⋊C₈	—	13	1	no	—
1361	C₄⋊C₈	—	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	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	C₂²×D₁₃	1	1	yes	characteristic
1375	#103	C₂²×D₁₃	1	1	yes	characteristic
1376	#103	C₂²×D₁₃	1	1	yes	characteristic
1377	#103	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	C₂²×D₁₃	1	1	yes	characteristic
1391	#102	C₂²×D₁₃	1	1	yes	characteristic
1392	#102	C₂²×D₁₃	1	1	yes	characteristic
1393	#102	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1399	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1400	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1402	#97	—	13	1	no	—
1403	#97	—	13	1	no	—
1404	#97	—	13	1	no	—
1405	#97	—	13	1	no	—
1406	C₄×C₈	—	13	1	no	—
1407	C₄×C₈	—	13	1	no	—
1408	C₄×C₈	—	13	1	no	—
1409	C₄×C₈	—	13	1	no	—
1410	C₂×C₁₃	—	2	2	no	—
1411	C₂×C₁₃	—	4	1	no	—
1412	C₂×C₁₃	—	4	1	no	—
1413	C₂×C₁₃	—	8	1	no	—
1414	C₂×C₁₃	—	8	1	no	—
1415	C₂×C₁₃	—	8	1	no	—
1416	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
1417	C₂×C₁₃	#3584	1	1	yes	characteristic
1418	C₂×C₁₃	#3584	1	1	yes	characteristic
1419	D₁₃	—	8	1	no	—
1420	D₁₃	—	8	1	no	—
1421	D₁₃	—	8	1	no	—
1422	C₂⁴	—	2	1	no	—
1423	C₂⁴	—	26	1	no	—
1424	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1425	#41	—	2	2	no	—
1426	#41	—	2	2	no	—
1427	#41	—	2	2	no	—
1428	#41	—	2	2	no	—
1429	#41	—	2	2	no	—
1430	#41	—	2	2	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	1	no	—
1434	#41	—	4	1	no	—
1435	#41	—	4	4	no	—
1436	#41	—	4	4	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	26	2	no	—
1441	#41	—	26	2	no	—
1442	#41	—	26	2	no	—
1443	#41	—	52	1	no	—
1444	#41	—	52	1	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	#41	—	52	4	no	—
1449	C₂×Q₈	—	2	1	no	—
1450	C₂×Q₈	—	4	1	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	—	26	1	no	—
1456	C₂×Q₈	—	26	1	no	—
1457	C₂×Q₈	—	26	1	no	—
1458	C₂×Q₈	—	52	1	no	—
1459	C₂×Q₈	—	52	1	no	—
1460	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1461	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	4	1	no	—
1472	C₂×D₄	—	4	1	no	—
1473	C₂×D₄	—	4	4	no	—
1474	C₂×D₄	—	13	1	no	—
1475	C₂×D₄	—	13	1	no	—
1476	C₂×D₄	—	13	1	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	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	1	no	—
1495	C₂×D₄	—	52	1	no	—
1496	C₂×D₄	—	52	1	no	—
1497	C₂×D₄	—	52	4	no	—
1498	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1500	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1501	C₂²×C₄	—	2	2	no	—
1502	C₂²×C₄	—	2	2	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	4	4	no	—
1510	C₂²×C₄	—	13	1	no	—
1511	C₂²×C₄	—	13	1	no	—
1512	C₂²×C₄	—	13	1	no	—
1513	C₂²×C₄	—	13	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	—	26	1	no	—
1524	C₂²×C₄	—	52	4	no	—
1525	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1526	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1527	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1531	Q₁₆	—	4	1	no	—
1532	Q₁₆	—	4	1	no	—
1533	Q₁₆	—	52	1	no	—
1534	Q₁₆	—	52	1	no	—
1535	Q₁₆	—	52	1	no	—
1536	Q₁₆	—	52	1	no	—
1537	Q₁₆	—	52	1	no	—
1538	Q₁₆	—	52	1	no	—
1539	SD₁₆	—	4	1	no	—
1540	SD₁₆	—	4	1	no	—
1541	SD₁₆	—	4	1	no	—
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	52	1	no	—
1544	SD₁₆	—	52	1	no	—
1545	SD₁₆	—	52	1	no	—
1546	SD₁₆	—	52	1	no	—
1547	SD₁₆	—	52	1	no	—
1548	SD₁₆	—	52	1	no	—
1549	SD₁₆	—	52	1	no	—
1550	SD₁₆	—	52	1	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	D₈	—	4	1	no	—
1556	D₈	—	4	1	no	—
1557	D₈	—	52	1	no	—
1558	D₈	—	52	1	no	—
1559	D₈	—	52	1	no	—
1560	D₈	—	52	1	no	—
1561	D₈	—	52	1	no	—
1562	D₈	—	52	1	no	—
1563	C₂×C₈	—	2	2	no	—
1564	C₂×C₈	—	2	2	no	—
1565	C₂×C₈	—	13	1	no	—
1566	C₂×C₈	—	13	1	no	—
1567	C₂×C₈	—	13	1	no	—
1568	C₂×C₈	—	13	1	no	—
1569	C₂×C₈	—	26	2	no	—
1570	C₂×C₈	—	26	2	no	—
1571	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	13	1	no	—
1578	C₄⋊C₄	—	13	1	no	—
1579	C₄⋊C₄	—	13	1	no	—
1580	C₄⋊C₄	—	13	1	no	—
1581	C₄⋊C₄	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	13	1	no	—
1586	C₄⋊C₄	—	13	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	—	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	C₂³×D₁₃	1	1	yes	characteristic
1610	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	13	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	13	1	no	—
1621	C₂²⋊C₄	—	13	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	13	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	—	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	C₄²	—	2	1	no	—
1654	C₄²	—	13	1	no	—
1655	C₄²	—	13	1	no	—
1656	C₄²	—	13	1	no	—
1657	C₄²	—	13	1	no	—
1658	C₄²	—	13	1	no	—
1659	C₄²	—	13	1	no	—
1660	C₄²	—	13	1	no	—
1661	C₄²	—	13	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	—	26	1	no	—
1665	C₄²	—	26	1	no	—
1666	C₄²	—	26	1	no	—
1667	C₁₃	#60797	1	1	yes	characteristic, complemented, Sylow
1668	C₂³	—	2	2	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	2	1	no	—
1672	C₂³	—	4	1	no	—
1673	C₂³	—	4	1	no	—
1674	C₂³	—	4	2	no	—
1675	C₂³	—	8	1	no	—
1676	C₂³	—	8	1	no	—
1677	C₂³	—	26	1	no	—
1678	C₂³	—	26	1	no	—
1679	C₂³	—	26	1	no	—
1680	C₂³	—	52	2	no	—
1681	C₂³	—	104	1	no	—
1682	C₂³	—	104	1	no	—
1683	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1684	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1685	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	4	2	no	—
1693	Q₈	—	26	1	no	—
1694	Q₈	—	26	1	no	—
1695	Q₈	—	26	1	no	—
1696	Q₈	—	26	1	no	—
1697	Q₈	—	26	1	no	—
1698	Q₈	—	26	1	no	—
1699	Q₈	—	52	2	no	—
1700	Q₈	—	104	1	no	—
1701	Q₈	—	104	1	no	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	2	1	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	4	2	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	4	2	no	—
1711	D₄	—	4	2	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	2	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	26	1	no	—
1717	D₄	—	26	1	no	—
1718	D₄	—	26	1	no	—
1719	D₄	—	26	1	no	—
1720	D₄	—	26	1	no	—
1721	D₄	—	26	1	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	52	2	no	—
1725	D₄	—	52	2	no	—
1726	D₄	—	52	2	no	—
1727	D₄	—	52	2	no	—
1728	D₄	—	104	1	no	—
1729	D₄	—	104	1	no	—
1730	D₄	—	104	1	no	—
1731	D₄	—	104	1	no	—
1732	D₄	—	104	1	no	—
1733	D₄	—	104	1	no	—
1734	D₄	—	104	1	no	—
1735	D₄	—	104	1	no	—
1736	D₄	—	104	1	no	—
1737	D₄	—	104	1	no	—
1738	D₄	—	104	1	no	—
1739	D₄	—	104	1	no	—
1740	C₂×C₄	—	2	2	no	—
1741	C₂×C₄	—	2	2	no	—
1742	C₂×C₄	—	2	2	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	2	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	13	1	no	—
1759	C₂×C₄	—	13	1	no	—
1760	C₂×C₄	—	13	1	no	—
1761	C₂×C₄	—	13	1	no	—
1762	C₂×C₄	—	13	1	no	—
1763	C₂×C₄	—	13	1	no	—
1764	C₂×C₄	—	13	1	no	—
1765	C₂×C₄	—	13	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	—	52	1	no	—
1774	C₂×C₄	—	52	1	no	—
1775	C₂×C₄	—	52	1	no	—
1776	C₂×C₄	—	52	1	no	—
1777	C₂×C₄	—	52	2	no	—
1778	C₂×C₄	—	52	2	no	—
1779	C₂×C₄	—	52	2	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	104	1	no	—
1782	C₂×C₄	—	104	1	no	—
1783	C₂×C₄	—	104	1	no	—
1784	C₂×C₄	—	104	1	no	—
1785	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1786	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1788	C₂×C₄	#88251	1	2	yes	—
1789	C₂×C₄	#88251	1	2	yes	—
1790	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	26	1	no	—
1796	C₈	—	26	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	8	2	no	—
1817	C₂²	—	8	4	no	—
1818	C₂²	—	52	1	no	—
1819	C₂²	—	52	1	no	—
1820	C₂²	—	52	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	52	1	no	—
1824	C₂²	—	52	1	no	—
1825	C₂²	—	52	1	no	—
1826	C₂²	—	52	1	no	—
1827	C₂²	—	104	4	no	—
1828	C₂²	#11719297	1	2	yes	—
1829	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	26	1	no	—
1838	C₄	—	26	1	no	—
1839	C₄	—	26	1	no	—
1840	C₄	—	26	1	no	—
1841	C₄	—	26	1	no	—
1842	C₄	—	26	1	no	—
1843	C₄	—	26	1	no	—
1844	C₄	—	26	1	no	—
1845	C₄	—	52	1	no	—
1846	C₄	—	52	1	no	—
1847	C₄	—	52	1	no	—
1848	C₄	—	52	1	no	—
1849	C₄	—	52	1	no	—
1850	C₄	#11719297	1	2	yes	—
1851	C₄	C₂×#88251	1	1	yes	characteristic
1852	C₄	C₂×#88251	1	1	yes	characteristic
1853	C₂	—	2	2	no	—
1854	C₂	—	4	1	no	—
1855	C₂	—	4	1	no	—
1856	C₂	—	8	1	no	—
1857	C₂	—	8	1	no	—
1858	C₂	—	8	1	no	—
1859	C₂	—	104	1	no	—
1860	C₂	—	104	1	no	—
1861	C₂	—	104	1	no	—
1862	C₂	C₂×#11719297	1	1	yes	characteristic
1863	C₂	#13129605	1	1	yes	characteristic
1864	C₂	#13129609	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3002	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3002	D₁₃
hypocenter	C₁₃	#60797
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ #3002

Complements

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

N	H ≅ G/N	type
1. #13128224	C₂	semidirect
2. #13128165	C₂	semidirect
3. #13125951	C₂	semidirect
4. #13125949	C₂	semidirect
5. #13125943	C₂	semidirect
6. #13125941	C₂	semidirect
7. #13125936	C₂	semidirect
8. #13125934	C₂	semidirect
9. #13125928	C₂	semidirect
10. #13125926	C₂	semidirect
11. #13125917	C₂	semidirect
12. #13125915	C₂	semidirect
13. #13125906	C₂	semidirect
14. #13125904	C₂	semidirect
15. #13125895	C₂	semidirect
16. #13125893	C₂	semidirect
17. #13125884	C₂	semidirect
18. #13125882	C₂	semidirect
19. #13125279	C₂	semidirect
20. #13125260	C₂	semidirect
21. #13125179	C₂	semidirect
22. #13125156	C₂	semidirect
23. #13124289	C₂	semidirect
24. #13124289	C₂	semidirect
25. #13124287	C₂	semidirect
26. #13124287	C₂	semidirect
27. #13124058	C₂	semidirect
28. #13124054	C₂	semidirect
29. #13124052	C₂	semidirect
30. C₂×#11718381	C₂	semidirect
31. C₁₃×#3002	C₂	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
43. #11719537	C₂²	semidirect
48. #41×Dic₁₃	C₂²	semidirect
51. C₂×#88204	C₂²	semidirect
52. C₂×#88204	C₂²	semidirect
53. C₂×#88204	C₂²	semidirect
54. C₂×#88204	C₂²	semidirect
65. C₂×#88158	C₂²	semidirect
66. C₂×#88158	C₂²	semidirect
69. #11719348	C₂²	semidirect
70. #11719348	C₂²	semidirect
71. #11719330	C₂²	semidirect
72. #11719330	C₂²	semidirect
73. #11719324	C₂²	semidirect
74. #11719324	C₂²	semidirect
75. #11719308	C₂²	semidirect
76. #11719308	C₂²	semidirect
83. #11719227	C₂²	semidirect
84. #11719222	C₂²	semidirect
87. C₁₃×#451	C₂²	semidirect
88. C₁₃×#450	C₂²	semidirect
91. C₁₃×#448	C₂²	semidirect
92. C₁₃×#447	C₂²	semidirect
93. C₁₃×#416	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
100. #11718894	C₂²	semidirect
101. #11718894	C₂²	semidirect
102. #11718889	C₂²	semidirect
103. #11718888	C₂²	semidirect
104. #11718879	C₂²	semidirect
105. #11718878	C₂²	semidirect
107. #11718852	C₂²	semidirect
108. #11718851	C₂²	semidirect
109. #11718851	C₂²	semidirect
110. #11718846	C₂²	semidirect
111. #11718846	C₂²	semidirect
112. #11718843	C₂²	semidirect
113. #11718843	C₂²	semidirect
114. #11718842	C₂²	semidirect
115. #11718837	C₂²	semidirect
116. #11718837	C₂²	semidirect
117. #11718836	C₂²	semidirect
118. #11718836	C₂²	semidirect
119. #11718829	C₂²	semidirect
120. #11718829	C₂²	semidirect
121. #11718828	C₂²	semidirect
122. #11718828	C₂²	semidirect
123. #11718827	C₂²	semidirect
124. #11718827	C₂²	semidirect
125. #11718826	C₂²	semidirect
126. #11718826	C₂²	semidirect
127. #11718824	C₂²	semidirect
128. #11718824	C₂²	semidirect
129. #11718823	C₂²	semidirect
130. #11718823	C₂²	semidirect
131. #11718816	C₂²	semidirect
132. #11718815	C₂²	semidirect
133. #11718815	C₂²	semidirect
134. #11718814	C₂²	semidirect
135. #11718814	C₂²	semidirect
136. #11718812	C₂²	semidirect
137. #11718811	C₂²	semidirect
138. #11718811	C₂²	semidirect
139. #11718774	C₂²	semidirect
140. #11718774	C₂²	semidirect
141. C₂×#88055	C₂²	semidirect
142. C₂×#88054	C₂²	semidirect
143. C₂×#88054	C₂²	semidirect
144. C₂×C₈×Dic₁₃	C₂²	semidirect
145. #11718711	C₂²	semidirect
148. #11718707	C₂²	semidirect
149. #11718701	C₂²	semidirect
152. #11718697	C₂²	semidirect
153. #11718663	C₂²	semidirect
154. #11718663	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718480	C₂²	semidirect
157. #11718479	C₂²	semidirect
158. #11718479	C₂²	semidirect
159. #11718461	C₂²	semidirect
160. #11718461	C₂²	semidirect
161. #11718459	C₂²	semidirect
162. #11718459	C₂²	semidirect
163. #11718458	C₂²	semidirect
164. #11718458	C₂²	semidirect
165. #11718456	C₂²	semidirect
166. #11718456	C₂²	semidirect
167. #11718454	C₂²	semidirect
168. #11718454	C₂²	semidirect
169. #11718453	C₂²	semidirect
170. #11718453	C₂²	semidirect
171. #11718448	C₂²	semidirect
172. #11718448	C₂²	semidirect
173. #11718447	C₂²	semidirect
174. #11718447	C₂²	semidirect
175. #11718429	C₂²	semidirect
176. #11718429	C₂²	semidirect
177. #11718428	C₂²	semidirect
178. #11718428	C₂²	semidirect
179. #11718426	C₂²	semidirect
180. #11718426	C₂²	semidirect
181. #11718425	C₂²	semidirect
182. #11718425	C₂²	semidirect
183. #11718423	C₂²	semidirect
184. #11718423	C₂²	semidirect
185. #11718421	C₂²	semidirect
186. #11718421	C₂²	semidirect
187. #11718400	C₂²	semidirect
188. #11718399	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718381	C₂²	semidirect
196. #11718381	C₂²	semidirect
197. #11718381	C₂²	semidirect
198. #11718381	C₂²	semidirect
199. #11718381	C₂²	semidirect
200. #11718381	C₂²	semidirect
201. #11718381	C₂²	semidirect
202. #11718381	C₂²	semidirect
765. #3002	D₁₃	semidirect
906. C₂×#135	C₂×D₁₃	semidirect
907. C₂×#135	C₂×D₁₃	semidirect
1026. #451	C₂×D₁₃	semidirect
1030. #450	C₂×D₁₃	semidirect
1042. #448	C₂×D₁₃	semidirect
1046. #447	C₂×D₁₃	semidirect
1063. #416	C₂×D₁₃	semidirect
1064. #416	C₂×D₁₃	semidirect
1667. C₁₃	#60797	semidirect

Maximal subgroups

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

subgroup	index
#13128224	2
#13128165	2
#13125951	2
#13125949	2
#13125943	2
#13125941	2
#13125936	2
#13125934	2
#13125928	2
#13125926	2
#13125917	2
#13125915	2
#13125906	2
#13125904	2
#13125895	2
#13125893	2
#13125884	2
#13125882	2
#13125279	2
#13125260	2
#13125179	2
#13125156	2
#13124289	2
#13124287	2
#13124058	2
#13124054	2
#13124052	2
C₂×#11718381	2
C₁₃×#3002	2
#60797	13