Subgroups — #16734870

Order 3328.

2040 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128626	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128261	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125943	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125938	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125926	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125923	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125922	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125915	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125911	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125904	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125872	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125869	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125839	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125837	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125799	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125794	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125791	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125326	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125307	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125200	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125189	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124325	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124306	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124288	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124146	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124135	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123497	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88254	C₂²	1	1	yes	characteristic
33	C₂×#88251	C₂²	1	1	yes	characteristic
34	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
36	#11719521	C₂²	1	1	yes	characteristic
37	#11719510	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
39	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88169	C₂²	1	1	yes	characteristic
42	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
43	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×#88166	C₂²	1	1	yes	characteristic
45	C₂×#88165	C₂²	1	1	yes	characteristic
46	#11719412	—	2	1	no	—
47	#11719406	—	2	1	no	—
48	#11719402	C₂²	1	1	yes	characteristic, complemented
49	#11719394	C₂²	1	1	yes	characteristic, complemented
50	#11719387	C₂²	1	1	yes	characteristic, complemented
51	#11719382	—	2	1	no	—
52	#11719382	—	2	1	no	—
53	#11719381	—	2	1	no	—
54	#11719381	—	2	1	no	—
55	#11719380	C₂²	1	1	yes	characteristic
56	#11719380	C₂²	1	1	yes	characteristic
57	#11719380	C₂²	1	1	yes	characteristic, complemented
58	#11719379	C₂²	1	1	yes	characteristic
59	#11719379	C₂²	1	1	yes	characteristic
60	D₁₃×#124	C₂²	1	1	yes	characteristic
61	D₁₃×#124	C₂²	1	1	yes	characteristic
62	#11719373	C₂²	1	1	yes	characteristic
63	#11719373	C₂²	1	1	yes	characteristic
64	#11719367	—	2	1	no	—
65	#11719365	—	2	1	no	—
66	#11719333	C₂²	1	1	yes	characteristic
67	#11719330	C₂²	1	1	yes	characteristic, complemented
68	#11719313	C₂²	1	1	yes	characteristic
69	#11719308	C₂²	1	1	yes	characteristic, complemented
70	#11719283	C₂²	1	1	yes	characteristic, complemented
71	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719262	—	2	1	no	—
73	#11719262	C₂²	1	1	yes	characteristic, complemented
74	#11719243	—	2	1	no	—
75	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
76	#11719233	—	2	1	no	—
77	#11719222	—	2	1	no	—
78	#11719195	—	2	1	no	—
79	#11719195	—	2	1	no	—
80	#11719195	—	2	1	no	—
81	#11719195	—	2	1	no	—
82	#11719182	C₂²	1	1	yes	characteristic
83	C₄×#6127	C₂²	1	1	yes	characteristic
84	#11719175	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#450	C₂²	1	1	yes	characteristic
95	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#447	C₂²	1	1	yes	characteristic
97	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
98	#11718889	C₂²	1	1	yes	characteristic, complemented
99	#11718889	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic
101	#11718879	C₂²	1	1	yes	characteristic
102	#11718851	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718846	C₂²	1	1	yes	characteristic, complemented
106	#11718843	C₂²	1	1	yes	characteristic, complemented
107	#11718842	C₂²	1	1	yes	characteristic, complemented
108	#11718836	C₂²	1	1	yes	characteristic, complemented
109	#11718834	C₂²	1	1	yes	characteristic
110	#11718833	C₂²	1	1	yes	characteristic, complemented
111	#11718831	C₂²	1	1	yes	characteristic, complemented
112	#11718830	C₂²	1	1	yes	characteristic
113	#11718829	C₂²	1	1	yes	characteristic, complemented
114	#11718828	C₂²	1	1	yes	characteristic, complemented
115	#11718828	C₂²	1	1	yes	characteristic, complemented
116	#11718827	C₂²	1	1	yes	characteristic, complemented
117	#11718826	C₂²	1	1	yes	characteristic, complemented
118	#11718824	C₂²	1	1	yes	characteristic, complemented
119	#11718823	C₂²	1	1	yes	characteristic, complemented
120	#11718819	C₂²	1	1	yes	characteristic
121	#11718817	C₂²	1	1	yes	characteristic
122	#11718816	C₂²	1	1	yes	characteristic, complemented
123	#11718815	C₂²	1	1	yes	characteristic, complemented
124	#11718814	C₂²	1	1	yes	characteristic, complemented
125	#11718811	C₂²	1	1	yes	characteristic, complemented
126	#11718730	C₂²	1	1	yes	characteristic, complemented
127	#11718728	C₂²	1	1	yes	characteristic, complemented
128	#11718721	C₂²	1	1	yes	characteristic, complemented
129	#11718721	C₂²	1	1	yes	characteristic, complemented
130	#11718721	C₂²	1	1	yes	characteristic, complemented
131	#11718719	C₂²	1	1	yes	characteristic, complemented
132	#11718716	C₂²	1	1	yes	characteristic, complemented
133	#11718716	C₂²	1	1	yes	characteristic, complemented
134	#11718715	C₂²	1	1	yes	characteristic, complemented
135	#11718715	C₂²	1	1	yes	characteristic, complemented
136	#11718715	C₂²	1	1	yes	characteristic, complemented
137	#11718715	C₂²	1	1	yes	characteristic, complemented
138	#11718708	C₂²	1	1	yes	characteristic
139	#11718708	C₂²	1	1	yes	characteristic, complemented
140	#11718698	C₂²	1	1	yes	characteristic
141	#11718698	C₂²	1	1	yes	characteristic, complemented
142	#11718689	C₂²	1	1	yes	characteristic, complemented
143	#11718689	C₂²	1	1	yes	characteristic, complemented
144	#11718677	C₂²	1	1	yes	characteristic, complemented
145	#11718677	C₂²	1	1	yes	characteristic, complemented
146	#11718587	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718506	C₂²	1	1	yes	characteristic, complemented
150	#11718506	C₂²	1	1	yes	characteristic, complemented
151	#11718498	C₂²	1	1	yes	characteristic, complemented
152	#11718496	C₂²	1	1	yes	characteristic, complemented
153	#11718494	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#11718471	C₂²	1	1	yes	characteristic, complemented
156	#11718471	C₂²	1	1	yes	characteristic, complemented
157	#11718469	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	#11718464	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
163	#11718461	C₂²	1	1	yes	characteristic, complemented
164	#11718459	C₂²	1	1	yes	characteristic, complemented
165	#11718459	C₂²	1	1	yes	characteristic, complemented
166	#11718458	C₂²	1	1	yes	characteristic, complemented
167	#11718456	C₂²	1	1	yes	characteristic, complemented
168	#11718454	C₂²	1	1	yes	characteristic, complemented
169	#11718454	C₂²	1	1	yes	characteristic, complemented
170	#11718453	C₂²	1	1	yes	characteristic, complemented
171	#11718444	C₂²	1	1	yes	characteristic
172	#11718444	C₂²	1	1	yes	characteristic
173	#11718437	C₂²	1	1	yes	characteristic
174	#11718437	C₂²	1	1	yes	characteristic
175	#11718433	C₂²	1	1	yes	characteristic
176	#11718432	C₂²	1	1	yes	characteristic
177	#11718431	C₂²	1	1	yes	characteristic
178	D₁₃×#102	C₂²	1	1	yes	characteristic
179	#11718429	C₂²	1	1	yes	characteristic, complemented
180	#11718428	C₂²	1	1	yes	characteristic, complemented
181	#11718428	C₂²	1	1	yes	characteristic, complemented
182	#11718426	C₂²	1	1	yes	characteristic, complemented
183	#11718425	C₂²	1	1	yes	characteristic, complemented
184	#11718423	C₂²	1	1	yes	characteristic, complemented
185	#11718423	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718394	C₂²	1	1	yes	characteristic
188	#11718394	C₂²	1	1	yes	characteristic
189	#11718394	C₂²	1	1	yes	characteristic, complemented
190	#11718394	C₂²	1	1	yes	characteristic, complemented
191	#11718388	C₂²	1	1	yes	characteristic
192	#11718388	C₂²	1	1	yes	characteristic
193	#11718381	C₂²	1	1	yes	characteristic, complemented
194	#11718381	C₂²	1	1	yes	characteristic, complemented
195	#11718360	C₂²	1	1	yes	characteristic, complemented
196	#11718355	C₂²	1	1	yes	characteristic, complemented
197	#11718354	C₂²	1	1	yes	characteristic, complemented
198	#11718351	C₂²	1	1	yes	characteristic, complemented
199	#11718351	C₂²	1	1	yes	characteristic, complemented
200	#11718350	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718342	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	#88254	—	4	2	no	—
208	#88254	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	—	2	1	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	#88251	—	4	2	no	—
217	#88251	—	4	2	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×#6129	C₂³	1	1	yes	characteristic
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	—	2	1	no	—
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	—	2	1	no	—
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂×#6127	C₂³	1	1	yes	characteristic
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	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×D₈	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#125	C₂³	1	1	yes	characteristic
240	C₁₃×#124	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×#124	C₂³	1	1	yes	characteristic
244	C₁₃×#124	C₂³	1	1	yes	characteristic
245	C₁₃×#124	C₂³	1	1	yes	characteristic
246	C₁₃×#124	C₂³	1	1	yes	characteristic
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#117	—	2	1	no	—
254	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
255	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
256	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
257	#88207	—	2	1	no	—
258	#88207	—	2	1	no	—
259	#88201	C₂³	1	1	yes	characteristic
260	#88201	C₂³	1	1	yes	characteristic
261	#88200	—	2	1	no	—
262	#88200	—	2	1	no	—
263	#88200	C₂³	1	1	yes	characteristic
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	#88198	C₂³	1	1	yes	characteristic
266	#88198	C₂³	1	1	yes	characteristic
267	#88198	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	#88194	C₂³	1	1	yes	characteristic
277	#88194	C₂³	1	1	yes	characteristic
278	#88193	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	—	2	1	no	—
281	#88192	—	2	1	no	—
282	#88192	C₂³	1	1	yes	characteristic
283	#88190	—	2	1	no	—
284	#88190	C₂³	1	1	yes	characteristic
285	#88190	C₂³	1	1	yes	characteristic
286	#88190	C₂³	1	1	yes	characteristic
287	#88189	—	2	1	no	—
288	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×#6105	C₂³	1	1	yes	characteristic
290	C₂×#6105	C₂³	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	#88183	—	2	1	no	—
300	#88183	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
304	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
305	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
306	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
307	#88180	—	2	1	no	—
308	#88180	—	2	1	no	—
309	#88180	C₂³	1	1	yes	characteristic
310	#88178	—	2	1	no	—
311	#88178	C₂³	1	1	yes	characteristic
312	#88178	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	—	2	1	no	—
314	#88172	—	4	2	no	—
315	Q₁₆×D₁₃	—	4	2	no	—
316	#88170	—	4	2	no	—
317	#88169	—	4	2	no	—
318	#88169	—	4	2	no	—
319	SD₁₆×D₁₃	—	4	2	no	—
320	#88166	—	4	2	no	—
321	#88165	—	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	C₂×#6095	C₂³	1	1	yes	characteristic
327	C₂×#6095	C₂³	1	1	yes	characteristic
328	C₂×#6095	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic
330	C₂×#6094	C₂³	1	1	yes	characteristic
331	C₂×#6094	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
334	#88152	—	2	1	no	—
335	#88152	—	2	1	no	—
336	#88151	—	2	1	no	—
337	#88151	C₂³	1	1	yes	characteristic
338	#88151	C₂³	1	1	yes	characteristic
339	#88150	—	2	1	no	—
340	#88150	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88146	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	#88144	—	2	1	no	—
346	#88144	—	2	1	no	—
347	#88144	—	2	1	no	—
348	#88144	C₂³	1	1	yes	characteristic
349	#88143	—	2	1	no	—
350	#88143	—	2	1	no	—
351	#88143	—	2	1	no	—
352	#88142	—	2	1	no	—
353	#88142	—	2	1	no	—
354	#88142	C₂³	1	1	yes	characteristic
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic
357	#88141	C₂³	1	1	yes	characteristic
358	#88140	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88139	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88138	—	2	1	no	—
369	#88138	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88137	—	2	1	no	—
375	#88137	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88137	—	2	1	no	—
381	#88137	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88136	—	2	1	no	—
384	#88136	—	2	1	no	—
385	#88136	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88133	—	2	1	no	—
397	#88133	—	2	1	no	—
398	#88133	—	2	1	no	—
399	#88133	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88132	—	2	1	no	—
403	#88132	—	2	1	no	—
404	#88132	—	2	1	no	—
405	#88132	—	2	1	no	—
406	#88132	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88132	—	2	1	no	—
409	#88131	—	2	1	no	—
410	#88129	C₂³	1	1	yes	characteristic
411	#88129	C₂³	1	1	yes	characteristic
412	#88128	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	—	2	1	no	—
414	C₄×D₅₂	—	2	1	no	—
415	C₄×D₅₂	D₄	1	1	yes	characteristic
416	C₄×D₅₂	D₄	1	1	yes	characteristic
417	#88126	—	2	1	no	—
418	#88126	C₂³	1	1	yes	characteristic
419	#88126	C₂³	1	1	yes	characteristic
420	C₄²×D₁₃	—	2	1	no	—
421	C₄²×D₁₃	C₂³	1	1	yes	characteristic
422	C₄²×D₁₃	C₂³	1	1	yes	characteristic
423	#88124	—	2	1	no	—
424	#88123	C₂³	1	1	yes	characteristic
425	#88123	C₂³	1	1	yes	characteristic
426	#88123	C₂³	1	1	yes	characteristic
427	C₄×Dic₂₆	—	2	1	no	—
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	—	2	1	no	—
430	C₄×Dic₂₆	D₄	1	1	yes	characteristic
431	C₄×Dic₂₆	D₄	1	1	yes	characteristic
432	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
433	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
434	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₄⋊C₈	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	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88075	C₂³	1	1	yes	characteristic
451	#88075	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	#88072	C₂³	1	1	yes	characteristic
455	#88072	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	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88055	C₂³	1	1	yes	characteristic
471	#88055	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	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
477	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	C₄⋊#1055	C₂³	1	1	yes	characteristic
487	C₄⋊#1055	C₂³	1	1	yes	characteristic
488	#88043	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#60835	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	4	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	4	4	no	—
525	C₂×C₂²⋊D₁₃	—	4	4	no	—
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	—	2	1	no	—
532	#6131	—	2	2	no	—
533	#6131	—	2	2	no	—
534	#6131	—	4	1	no	—
535	#6131	—	4	1	no	—
536	#6131	—	4	4	no	—
537	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	2	2	no	—
540	Q₈×D₁₃	—	2	2	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	4	no	—
544	#6129	—	2	2	no	—
545	#6129	—	2	2	no	—
546	#6129	—	2	2	no	—
547	#6129	—	2	2	no	—
548	#6129	—	4	1	no	—
549	#6129	—	4	1	no	—
550	#6129	—	4	4	no	—
551	D₄×D₁₃	—	2	2	no	—
552	D₄×D₁₃	—	2	2	no	—
553	D₄×D₁₃	—	4	1	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	4	no	—
556	#6127	—	2	2	no	—
557	#6127	—	2	2	no	—
558	#6127	—	4	1	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	1	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	4	no	—
563	#6127	—	4	4	no	—
564	C₂×D₅₂	—	2	1	no	—
565	C₂×D₅₂	—	2	1	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
569	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
570	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₂₆	—	2	1	no	—
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
591	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
595	C₁₃×Q₁₆	—	4	1	no	—
596	C₁₃×Q₁₆	—	4	1	no	—
597	C₁₃×SD₁₆	—	4	1	no	—
598	C₁₃×SD₁₆	—	4	1	no	—
599	C₁₃×SD₁₆	—	4	1	no	—
600	C₁₃×SD₁₆	—	4	1	no	—
601	C₁₃×D₈	—	4	1	no	—
602	C₁₃×D₈	—	4	1	no	—
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	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	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₄²×C₁₃	—	2	1	no	—
627	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
628	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
629	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
643	#6107	—	4	1	no	—
644	#6107	—	4	1	no	—
645	#6107	—	4	1	no	—
646	#6107	—	4	1	no	—
647	#6107	—	4	1	no	—
648	#6107	—	4	1	no	—
649	#6106	—	4	1	no	—
650	#6106	—	4	1	no	—
651	#6105	—	4	1	no	—
652	#6105	—	4	1	no	—
653	#6105	—	4	1	no	—
654	#6105	—	4	1	no	—
655	#6105	—	4	1	no	—
656	#6105	—	4	1	no	—
657	#6104	—	4	1	no	—
658	#6104	—	4	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	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	C₂×D₄	1	1	yes	characteristic
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	—	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	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	C₂×D₄	1	1	yes	characteristic
705	#6101	C₂×D₄	1	1	yes	characteristic
706	#6101	C₂×D₄	1	1	yes	characteristic
707	#6101	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₁₃	—	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	C₂×#1055	C₂⁴	1	1	yes	characteristic
721	C₂×#1055	C₂⁴	1	1	yes	characteristic
722	C₂×#1055	C₂⁴	1	1	yes	characteristic
723	C₂×#1055	C₂⁴	1	1	yes	characteristic
724	Dic₅₂	—	4	1	no	—
725	Dic₅₂	—	4	1	no	—
726	Dic₅₂	—	4	1	no	—
727	Dic₅₂	—	4	1	no	—
728	#6095	—	4	1	no	—
729	#6095	—	4	1	no	—
730	#6095	—	4	1	no	—
731	#6095	—	4	1	no	—
732	#6094	—	2	2	no	—
733	#6094	—	2	2	no	—
734	C₈×D₁₃	—	2	2	no	—
735	C₈×D₁₃	—	2	2	no	—
736	#3500	—	13	1	no	—
737	#3461	—	13	1	no	—
738	#3225	—	13	1	no	—
739	#3225	—	13	1	no	—
740	#3224	—	13	1	no	—
741	#3224	—	13	1	no	—
742	#3223	—	13	1	no	—
743	#3223	—	13	1	no	—
744	#3222	—	13	1	no	—
745	#3222	—	13	1	no	—
746	#3219	—	13	1	no	—
747	#3219	—	13	1	no	—
748	#3215	—	13	1	no	—
749	#3215	—	13	1	no	—
750	#3211	—	13	1	no	—
751	#3211	D₁₃	1	1	yes	characteristic, complemented
752	#3210	—	13	1	no	—
753	#3210	—	13	1	no	—
754	#3156	—	13	1	no	—
755	#3154	—	13	1	no	—
756	#3137	—	13	1	no	—
757	#3136	—	13	1	no	—
758	#3040	—	13	1	no	—
759	#3037	—	13	1	no	—
760	#3035	—	13	1	no	—
761	C₂×#464	—	13	1	no	—
762	#3013	—	13	1	no	—
763	#3012	—	13	1	no	—
764	#3011	—	13	1	no	—
765	#3009	—	13	1	no	—
766	#2925	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	—	4	2	no	—
771	C₂³×C₁₃	—	8	1	no	—
772	C₂³×C₁₃	—	8	1	no	—
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂²×D₁₃	—	2	1	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	8	1	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
784	Q₈×C₁₃	—	2	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	—	4	2	no	—
791	D₄×C₁₃	—	2	1	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	—	4	2	no	—
798	D₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	4	1	no	—
807	C₂×C₄×C₁₃	—	4	1	no	—
808	C₂×C₄×C₁₃	—	4	2	no	—
809	C₂×C₄×C₁₃	—	4	2	no	—
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
816	C₂²⋊D₁₃	—	2	2	no	—
817	C₂²⋊D₁₃	—	2	2	no	—
818	C₂²⋊D₁₃	—	4	2	no	—
819	C₂²⋊D₁₃	—	4	2	no	—
820	C₂²⋊D₁₃	—	4	2	no	—
821	C₂²⋊D₁₃	—	4	2	no	—
822	C₂²⋊D₁₃	—	4	2	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	8	1	no	—
826	C₂²⋊D₁₃	—	8	1	no	—
827	C₂²⋊D₁₃	—	8	1	no	—
828	C₂²⋊D₁₃	—	8	1	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	4	2	no	—
837	C₂×Dic₁₃	—	4	2	no	—
838	C₂×Dic₁₃	—	4	2	no	—
839	C₂×Dic₁₃	—	8	1	no	—
840	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
846	D₅₂	—	2	2	no	—
847	D₅₂	—	2	1	no	—
848	D₅₂	—	2	1	no	—
849	D₅₂	—	2	1	no	—
850	D₅₂	—	2	1	no	—
851	D₅₂	—	4	2	no	—
852	D₅₂	—	4	2	no	—
853	D₅₂	—	8	1	no	—
854	D₅₂	—	8	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	4	1	no	—
858	C₄×D₁₃	—	4	1	no	—
859	C₄×D₁₃	—	4	1	no	—
860	C₄×D₁₃	—	4	1	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	4	2	no	—
868	C₄×D₁₃	—	8	1	no	—
869	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
870	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
871	Dic₂₆	—	2	2	no	—
872	Dic₂₆	—	2	1	no	—
873	Dic₂₆	—	2	1	no	—
874	Dic₂₆	—	2	1	no	—
875	Dic₂₆	—	2	1	no	—
876	Dic₂₆	—	2	1	no	—
877	Dic₂₆	—	2	1	no	—
878	Dic₂₆	—	2	1	no	—
879	Dic₂₆	—	2	1	no	—
880	Dic₂₆	—	4	2	no	—
881	Dic₂₆	—	4	2	no	—
882	Dic₂₆	—	4	2	no	—
883	Dic₂₆	—	8	1	no	—
884	Dic₂₆	—	8	1	no	—
885	C₈×C₁₃	—	2	1	no	—
886	C₈×C₁₃	—	2	1	no	—
887	C₈×C₁₃	—	2	1	no	—
888	C₈×C₁₃	—	2	1	no	—
889	#1055	—	2	1	no	—
890	#1055	—	2	1	no	—
891	#1055	—	2	1	no	—
892	#1055	—	2	1	no	—
893	C₂×2₋¹⁺⁴	—	13	1	no	—
894	C₂×H(5,𝔽₂)	—	13	1	no	—
895	C₂×#137	—	13	1	no	—
896	C₂×#137	—	13	1	no	—
897	C₂×#137	—	13	1	no	—
898	C₂×AGL(1,ℤ/8)	—	13	1	no	—
899	C₂×#135	—	13	1	no	—
900	C₂×#135	—	13	1	no	—
901	C₂²×Q₁₆	—	13	1	no	—
902	C₂²×SD₁₆	—	13	1	no	—
903	#548	—	26	1	no	—
904	#548	—	26	1	no	—
905	#546	—	26	1	no	—
906	#546	—	26	1	no	—
907	#546	—	26	1	no	—
908	#546	—	26	1	no	—
909	#546	—	26	1	no	—
910	#546	—	26	1	no	—
911	#544	—	13	1	no	—
912	#542	—	13	1	no	—
913	#542	—	13	1	no	—
914	#542	—	26	1	no	—
915	#541	—	13	1	no	—
916	#541	—	13	1	no	—
917	#541	—	26	1	no	—
918	#539	—	26	1	no	—
919	#539	—	26	1	no	—
920	#537	—	13	1	no	—
921	#536	—	13	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	#533	—	13	1	no	—
930	#533	—	13	1	no	—
931	#533	—	26	1	no	—
932	#532	—	13	1	no	—
933	#532	—	13	1	no	—
934	#532	—	13	1	no	—
935	#529	—	13	1	no	—
936	#529	—	26	1	no	—
937	#529	—	26	1	no	—
938	#529	—	26	1	no	—
939	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
940	C₂×#124	—	13	1	no	—
941	C₂×#124	—	13	1	no	—
942	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
943	C₄×#41	—	13	1	no	—
944	C₄×#41	—	13	1	no	—
945	C₂×C₄×Q₈	—	13	1	no	—
946	#497	—	13	1	no	—
947	#497	—	13	1	no	—
948	#497	—	13	1	no	—
949	#497	—	13	1	no	—
950	#497	—	13	1	no	—
951	#497	—	13	1	no	—
952	#496	—	13	1	no	—
953	#496	—	13	1	no	—
954	#495	—	13	1	no	—
955	#495	—	13	1	no	—
956	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#494	—	13	1	no	—
959	#494	—	13	1	no	—
960	#492	—	13	1	no	—
961	#492	—	13	1	no	—
962	#491	—	13	1	no	—
963	#491	—	13	1	no	—
964	#490	—	13	1	no	—
965	#490	—	13	1	no	—
966	#489	—	13	1	no	—
967	#489	—	13	1	no	—
968	#489	—	13	1	no	—
969	#489	—	13	1	no	—
970	#488	—	13	1	no	—
971	#488	—	13	1	no	—
972	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#487	—	13	1	no	—
975	#487	—	13	1	no	—
976	#486	—	13	1	no	—
977	#486	—	13	1	no	—
978	#464	—	13	1	no	—
979	#464	—	13	1	no	—
980	#464	—	13	1	no	—
981	#464	—	13	1	no	—
982	#464	—	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	#464	—	13	1	no	—
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#463	—	13	1	no	—
997	#463	—	13	1	no	—
998	#463	—	13	1	no	—
999	#463	—	13	1	no	—
1000	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#462	—	13	1	no	—
1003	#462	—	13	1	no	—
1004	#462	—	13	1	no	—
1005	#461	—	13	1	no	—
1006	#460	—	13	1	no	—
1007	#460	—	13	1	no	—
1008	#460	—	13	1	no	—
1009	#459	—	13	1	no	—
1010	#452	—	13	1	no	—
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	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	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	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#450	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#450	—	13	1	no	—
1031	#450	—	13	1	no	—
1032	#450	—	13	1	no	—
1033	#450	C₂×D₁₃	1	1	yes	characteristic
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#448	—	13	1	no	—
1039	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1040	#447	—	13	1	no	—
1041	#447	C₂×D₁₃	1	1	yes	characteristic
1042	#433	—	13	1	no	—
1043	#433	—	13	1	no	—
1044	#433	—	13	1	no	—
1045	#433	—	13	1	no	—
1046	#432	—	13	1	no	—
1047	#432	—	13	1	no	—
1048	#431	—	13	1	no	—
1049	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
1050	#423	—	13	1	no	—
1051	C₂×C₄⋊C₈	—	13	1	no	—
1052	#419	—	13	1	no	—
1053	#418	—	13	1	no	—
1054	#417	—	13	1	no	—
1055	#417	—	13	1	no	—
1056	#416	—	13	1	no	—
1057	#416	—	13	1	no	—
1058	C₂×#103	—	13	1	no	—
1059	C₂×#102	—	13	1	no	—
1060	#408	—	13	1	no	—
1061	#408	—	13	1	no	—
1062	#405	—	13	1	no	—
1063	#405	—	13	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	16	2	no	—
1077	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	1	no	—
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	1	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	16	2	no	—
1090	C₂×D₁₃	—	16	2	no	—
1091	C₂×D₁₃	#535	1	2	yes	—
1092	C₄×C₁₃	—	2	1	no	—
1093	C₄×C₁₃	—	2	1	no	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	4	1	no	—
1098	C₄×C₁₃	—	4	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1103	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1104	Dic₁₃	—	2	1	no	—
1105	Dic₁₃	—	2	1	no	—
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	4	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	#535	1	2	yes	—
1116	2₋¹⁺⁴	—	52	2	no	—
1117	2₋¹⁺⁴	—	52	2	no	—
1118	H(5,𝔽₂)	—	52	2	no	—
1119	H(5,𝔽₂)	—	52	2	no	—
1120	C₂×#41	—	13	1	no	—
1121	C₂×#41	—	13	1	no	—
1122	C₂×#41	—	13	1	no	—
1123	C₂×#41	—	13	1	no	—
1124	C₂×#41	—	13	1	no	—
1125	C₂×#41	—	13	1	no	—
1126	C₂×#41	—	13	1	no	—
1127	C₂×#41	—	13	1	no	—
1128	C₂×#41	—	26	1	no	—
1129	C₂×#41	—	26	1	no	—
1130	C₂×#41	—	26	1	no	—
1131	C₂×#41	—	26	1	no	—
1132	C₂²×Q₈	—	13	1	no	—
1133	C₂²×Q₈	—	13	1	no	—
1134	C₂²×Q₈	—	13	1	no	—
1135	C₂²×Q₈	—	26	1	no	—
1136	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂²×D₄	—	13	1	no	—
1138	C₂²×D₄	—	13	1	no	—
1139	C₂²×D₄	—	26	1	no	—
1140	C₂²×D₄	—	26	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1143	#137	—	52	2	no	—
1144	#137	—	52	2	no	—
1145	#137	—	52	2	no	—
1146	AGL(1,ℤ/8)	—	52	2	no	—
1147	#135	—	52	2	no	—
1148	#135	—	52	2	no	—
1149	C₂×Q₁₆	—	13	1	no	—
1150	C₂×Q₁₆	—	13	1	no	—
1151	C₂×Q₁₆	—	13	1	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	13	1	no	—
1156	C₂×Q₁₆	—	13	1	no	—
1157	C₂×Q₁₆	—	13	1	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	52	2	no	—
1160	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1161	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂×SD₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	13	1	no	—
1164	C₂×SD₁₆	—	13	1	no	—
1165	C₂×SD₁₆	—	13	1	no	—
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	—	52	2	no	—
1175	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×D₈	—	13	1	no	—
1180	C₂×D₈	—	13	1	no	—
1181	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1183	C₂×M₁₆	—	13	1	no	—
1184	C₂×M₁₆	—	13	1	no	—
1185	C₂²×C₈	—	13	1	no	—
1186	C₂²×C₈	—	13	1	no	—
1187	C₄⋊Q₈	—	13	1	no	—
1188	C₄⋊Q₈	—	13	1	no	—
1189	C₄⋊Q₈	—	13	1	no	—
1190	C₄⋊Q₈	—	13	1	no	—
1191	C₄⋊Q₈	—	13	1	no	—
1192	C₄⋊Q₈	—	13	1	no	—
1193	C₄⋊Q₈	—	13	1	no	—
1194	C₄⋊Q₈	—	26	1	no	—
1195	C₄⋊Q₈	—	26	1	no	—
1196	#127	—	13	1	no	—
1197	#127	—	13	1	no	—
1198	#127	—	13	1	no	—
1199	#126	—	2	1	no	—
1200	#126	—	26	1	no	—
1201	#126	—	26	1	no	—
1202	#126	—	26	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#125	—	13	1	no	—
1208	#125	—	26	1	no	—
1209	#125	—	26	1	no	—
1210	#125	—	26	1	no	—
1211	#125	—	26	1	no	—
1212	#125	—	26	1	no	—
1213	#125	—	26	1	no	—
1214	#125	—	26	1	no	—
1215	#125	C₂²×D₁₃	1	1	yes	characteristic
1216	#124	—	2	1	no	—
1217	#124	—	2	1	no	—
1218	#124	—	13	1	no	—
1219	#124	—	13	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	—	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	—	26	1	no	—
1232	#124	C₂²×D₁₃	1	1	yes	characteristic
1233	#124	C₂²×D₁₃	1	1	yes	characteristic
1234	#124	C₂²×D₁₃	1	1	yes	characteristic
1235	#124	C₂²×D₁₃	1	1	yes	characteristic
1236	#124	C₂²×D₁₃	1	1	yes	characteristic
1237	#123	—	2	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	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	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	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1272	#121	—	13	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	C₂²×D₁₃	1	1	yes	characteristic
1289	#120	—	26	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	#120	—	26	1	no	—
1293	#120	—	26	1	no	—
1294	#120	—	26	1	no	—
1295	C₄×Q₈	—	13	1	no	—
1296	C₄×Q₈	—	13	1	no	—
1297	C₄×Q₈	—	13	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	—	26	1	no	—
1303	C₄×Q₈	—	26	1	no	—
1304	C₄×Q₈	—	26	1	no	—
1305	C₄×Q₈	—	26	1	no	—
1306	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1325	#117	—	2	1	no	—
1326	#117	—	13	1	no	—
1327	#117	—	13	1	no	—
1328	#117	—	13	1	no	—
1329	#117	—	13	1	no	—
1330	#117	—	26	1	no	—
1331	#117	—	26	1	no	—
1332	#117	—	26	1	no	—
1333	#117	—	26	1	no	—
1334	C₂×C₄⋊C₄	—	13	1	no	—
1335	C₂×C₄⋊C₄	—	26	1	no	—
1336	C₂×C₂²⋊C₄	—	2	1	no	—
1337	C₂×C₂²⋊C₄	—	2	1	no	—
1338	C₂×C₂²⋊C₄	—	26	1	no	—
1339	C₂×C₂²⋊C₄	—	26	1	no	—
1340	C₂×C₂²⋊C₄	—	26	1	no	—
1341	C₂×C₂²⋊C₄	—	26	1	no	—
1342	C₂×C₄²	—	13	1	no	—
1343	C₂×C₄²	—	13	1	no	—
1344	C₂×C₄²	—	26	1	no	—
1345	C₂×C₄²	—	26	1	no	—
1346	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	—	13	1	no	—
1349	C₄⋊C₈	—	13	1	no	—
1350	C₄⋊C₈	—	13	1	no	—
1351	C₄⋊C₈	—	13	1	no	—
1352	C₄⋊C₈	—	13	1	no	—
1353	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1354	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	C₂²×D₁₃	1	1	yes	characteristic
1368	#103	C₂²×D₁₃	1	1	yes	characteristic
1369	#103	C₂²×D₁₃	1	1	yes	characteristic
1370	#103	C₂²×D₁₃	1	1	yes	characteristic
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	C₂²×D₁₃	1	1	yes	characteristic
1384	#102	C₂²×D₁₃	1	1	yes	characteristic
1385	#102	C₂²×D₁₃	1	1	yes	characteristic
1386	#102	C₂²×D₁₃	1	1	yes	characteristic
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1395	#97	—	13	1	no	—
1396	#97	—	13	1	no	—
1397	#97	—	13	1	no	—
1398	#97	—	13	1	no	—
1399	C₄×C₈	—	13	1	no	—
1400	C₄×C₈	—	13	1	no	—
1401	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1402	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1403	C₂×C₁₃	—	4	1	no	—
1404	C₂×C₁₃	—	8	1	no	—
1405	C₂×C₁₃	—	8	1	no	—
1406	C₂×C₁₃	—	8	1	no	—
1407	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
1408	C₂×C₁₃	#3584	1	1	yes	characteristic
1409	C₂×C₁₃	#3586	1	1	yes	characteristic
1410	D₁₃	—	2	2	no	—
1411	D₁₃	—	4	1	no	—
1412	D₁₃	—	8	1	no	—
1413	D₁₃	—	8	1	no	—
1414	C₂⁴	—	2	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	C₂⁴	—	26	1	no	—
1417	#41	—	26	2	no	—
1418	#41	—	26	2	no	—
1419	#41	—	26	2	no	—
1420	#41	—	26	2	no	—
1421	#41	—	26	2	no	—
1422	#41	—	26	2	no	—
1423	#41	—	26	2	no	—
1424	#41	—	26	2	no	—
1425	#41	—	52	1	no	—
1426	#41	—	52	1	no	—
1427	#41	—	52	1	no	—
1428	#41	—	52	1	no	—
1429	#41	—	52	4	no	—
1430	#41	—	52	4	no	—
1431	#41	—	52	1	no	—
1432	#41	—	52	1	no	—
1433	#41	—	52	1	no	—
1434	#41	—	52	1	no	—
1435	#41	—	52	4	no	—
1436	#41	—	52	4	no	—
1437	C₂×Q₈	—	2	1	no	—
1438	C₂×Q₈	—	4	1	no	—
1439	C₂×Q₈	—	4	1	no	—
1440	C₂×Q₈	—	13	1	no	—
1441	C₂×Q₈	—	13	1	no	—
1442	C₂×Q₈	—	13	1	no	—
1443	C₂×Q₈	—	13	1	no	—
1444	C₂×Q₈	—	13	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	1	no	—
1447	C₂×Q₈	—	26	1	no	—
1448	C₂×Q₈	—	26	1	no	—
1449	C₂×Q₈	—	26	2	no	—
1450	C₂×Q₈	—	26	2	no	—
1451	C₂×Q₈	—	26	2	no	—
1452	C₂×Q₈	—	26	2	no	—
1453	C₂×Q₈	—	26	1	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	1	no	—
1456	C₂×Q₈	—	52	4	no	—
1457	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1458	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1459	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	4	1	no	—
1463	C₂×D₄	—	4	1	no	—
1464	C₂×D₄	—	13	1	no	—
1465	C₂×D₄	—	13	1	no	—
1466	C₂×D₄	—	13	1	no	—
1467	C₂×D₄	—	13	1	no	—
1468	C₂×D₄	—	13	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	2	no	—
1472	C₂×D₄	—	26	2	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	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	—	52	1	no	—
1488	C₂×D₄	—	52	1	no	—
1489	C₂×D₄	—	52	4	no	—
1490	C₂×D₄	—	52	4	no	—
1491	C₂×D₄	—	52	4	no	—
1492	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	13	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1516	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1518	Q₁₆	—	4	1	no	—
1519	Q₁₆	—	4	1	no	—
1520	Q₁₆	—	52	1	no	—
1521	Q₁₆	—	52	1	no	—
1522	Q₁₆	—	52	1	no	—
1523	Q₁₆	—	52	1	no	—
1524	Q₁₆	—	52	1	no	—
1525	Q₁₆	—	52	1	no	—
1526	Q₁₆	—	52	1	no	—
1527	Q₁₆	—	52	1	no	—
1528	Q₁₆	—	52	1	no	—
1529	Q₁₆	—	52	1	no	—
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	4	1	no	—
1533	SD₁₆	—	4	1	no	—
1534	SD₁₆	—	52	1	no	—
1535	SD₁₆	—	52	1	no	—
1536	SD₁₆	—	52	1	no	—
1537	SD₁₆	—	52	1	no	—
1538	SD₁₆	—	52	1	no	—
1539	SD₁₆	—	52	1	no	—
1540	SD₁₆	—	52	1	no	—
1541	SD₁₆	—	52	1	no	—
1542	SD₁₆	—	52	1	no	—
1543	SD₁₆	—	52	1	no	—
1544	SD₁₆	—	52	1	no	—
1545	SD₁₆	—	52	1	no	—
1546	D₈	—	4	1	no	—
1547	D₈	—	4	1	no	—
1548	D₈	—	52	1	no	—
1549	D₈	—	52	1	no	—
1550	M₁₆	—	26	2	no	—
1551	M₁₆	—	26	2	no	—
1552	C₂×C₈	—	13	1	no	—
1553	C₂×C₈	—	13	1	no	—
1554	C₂×C₈	—	13	1	no	—
1555	C₂×C₈	—	13	1	no	—
1556	C₂×C₈	—	26	2	no	—
1557	C₂×C₈	—	26	2	no	—
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	13	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1600	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	13	1	no	—
1615	C₂²⋊C₄	—	13	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	13	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₄²	—	2	1	no	—
1643	C₄²	—	13	1	no	—
1644	C₄²	—	13	1	no	—
1645	C₄²	—	13	1	no	—
1646	C₄²	—	13	1	no	—
1647	C₄²	—	13	1	no	—
1648	C₄²	—	13	1	no	—
1649	C₄²	—	26	1	no	—
1650	C₄²	—	26	1	no	—
1651	C₄²	—	26	1	no	—
1652	C₄²	—	26	1	no	—
1653	C₄²	—	26	1	no	—
1654	C₄²	—	26	1	no	—
1655	C₄²	D₄×D₁₃	1	1	yes	characteristic
1656	C₄²	D₄×D₁₃	1	1	yes	characteristic
1657	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1658	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1659	C₁₃	#60835	1	1	yes	characteristic, complemented, Sylow
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	2	1	no	—
1663	C₂³	—	4	2	no	—
1664	C₂³	—	8	1	no	—
1665	C₂³	—	8	1	no	—
1666	C₂³	—	13	1	no	—
1667	C₂³	—	13	1	no	—
1668	C₂³	—	26	1	no	—
1669	C₂³	—	26	1	no	—
1670	C₂³	—	52	2	no	—
1671	C₂³	—	52	2	no	—
1672	C₂³	—	104	1	no	—
1673	C₂³	—	104	1	no	—
1674	C₂³	—	104	1	no	—
1675	C₂³	—	104	1	no	—
1676	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1677	Q₈	—	2	1	no	—
1678	Q₈	—	2	1	no	—
1679	Q₈	—	2	1	no	—
1680	Q₈	—	2	1	no	—
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	4	2	no	—
1684	Q₈	—	26	2	no	—
1685	Q₈	—	26	1	no	—
1686	Q₈	—	26	1	no	—
1687	Q₈	—	26	1	no	—
1688	Q₈	—	26	1	no	—
1689	Q₈	—	26	1	no	—
1690	Q₈	—	26	1	no	—
1691	Q₈	—	26	1	no	—
1692	Q₈	—	26	1	no	—
1693	Q₈	—	52	2	no	—
1694	Q₈	—	52	2	no	—
1695	Q₈	—	52	2	no	—
1696	Q₈	—	104	1	no	—
1697	Q₈	—	104	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	2	1	no	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	4	2	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	26	2	no	—
1707	D₄	—	26	2	no	—
1708	D₄	—	26	2	no	—
1709	D₄	—	26	1	no	—
1710	D₄	—	26	1	no	—
1711	D₄	—	26	1	no	—
1712	D₄	—	26	1	no	—
1713	D₄	—	52	2	no	—
1714	D₄	—	52	2	no	—
1715	D₄	—	52	2	no	—
1716	D₄	—	52	2	no	—
1717	D₄	—	52	2	no	—
1718	D₄	—	52	2	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	2	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	104	1	no	—
1723	D₄	—	104	1	no	—
1724	D₄	—	104	1	no	—
1725	D₄	—	104	1	no	—
1726	D₄	—	104	1	no	—
1727	D₄	—	104	1	no	—
1728	D₄	—	104	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	13	1	no	—
1741	C₂×C₄	—	13	2	no	—
1742	C₂×C₄	—	13	2	no	—
1743	C₂×C₄	—	13	1	no	—
1744	C₂×C₄	—	13	1	no	—
1745	C₂×C₄	—	13	1	no	—
1746	C₂×C₄	—	13	1	no	—
1747	C₂×C₄	—	13	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	52	1	no	—
1757	C₂×C₄	—	52	1	no	—
1758	C₂×C₄	—	52	1	no	—
1759	C₂×C₄	—	52	1	no	—
1760	C₂×C₄	—	52	2	no	—
1761	C₂×C₄	—	52	2	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	52	2	no	—
1765	C₂×C₄	—	52	2	no	—
1766	C₂×C₄	—	52	2	no	—
1767	C₂×C₄	—	52	2	no	—
1768	C₂×C₄	—	52	2	no	—
1769	C₂×C₄	—	52	2	no	—
1770	C₂×C₄	—	104	1	no	—
1771	C₂×C₄	—	104	1	no	—
1772	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1773	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1776	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1777	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	2	1	no	—
1782	C₈	—	26	1	no	—
1783	C₈	—	26	1	no	—
1784	C₈	—	26	1	no	—
1785	C₈	—	26	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	13	2	no	—
1799	C₂²	—	16	2	no	—
1800	C₂²	—	26	1	no	—
1801	C₂²	—	26	1	no	—
1802	C₂²	—	26	1	no	—
1803	C₂²	—	26	1	no	—
1804	C₂²	—	26	1	no	—
1805	C₂²	—	52	1	no	—
1806	C₂²	—	52	1	no	—
1807	C₂²	—	52	1	no	—
1808	C₂²	—	52	1	no	—
1809	C₂²	—	52	1	no	—
1810	C₂²	—	52	1	no	—
1811	C₂²	—	208	2	no	—
1812	C₂²	—	208	2	no	—
1813	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1814	C₄	—	2	1	no	—
1815	C₄	—	2	1	no	—
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	2	1	no	—
1819	C₄	—	4	1	no	—
1820	C₄	—	4	1	no	—
1821	C₄	—	4	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	13	2	no	—
1825	C₄	—	26	1	no	—
1826	C₄	—	26	1	no	—
1827	C₄	—	26	1	no	—
1828	C₄	—	26	1	no	—
1829	C₄	—	26	1	no	—
1830	C₄	—	52	1	no	—
1831	C₄	—	52	1	no	—
1832	C₄	—	52	1	no	—
1833	C₄	—	52	1	no	—
1834	C₄	—	52	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1837	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1838	C₂	—	4	1	no	—
1839	C₂	—	8	1	no	—
1840	C₂	—	8	1	no	—
1841	C₂	—	8	1	no	—
1842	C₂	—	26	2	no	—
1843	C₂	—	52	1	no	—
1844	C₂	—	104	1	no	—
1845	C₂	—	104	1	no	—
1846	C₂	D₁₃×#535	1	1	yes	characteristic
1847	C₂	#13129605	1	1	yes	characteristic
1848	C₂	#13129620	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×#3211	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3211	D₁₃
hypocenter	C₁₃	#60835
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3211

Complements

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

N	H ≅ G/N	type
1. #13128626	C₂	semidirect
2. #13128261	C₂	semidirect
3. #13125943	C₂	semidirect
4. #13125938	C₂	semidirect
5. #13125926	C₂	semidirect
6. #13125923	C₂	semidirect
7. #13125922	C₂	semidirect
8. #13125915	C₂	semidirect
9. #13125911	C₂	semidirect
10. #13125904	C₂	semidirect
11. #13125872	C₂	semidirect
12. #13125869	C₂	semidirect
13. #13125839	C₂	semidirect
14. #13125837	C₂	semidirect
15. #13125799	C₂	semidirect
16. #13125794	C₂	semidirect
17. #13125791	C₂	semidirect
18. #13125326	C₂	semidirect
19. #13125307	C₂	semidirect
20. #13125200	C₂	semidirect
21. #13125189	C₂	semidirect
22. #13124325	C₂	semidirect
23. #13124306	C₂	semidirect
24. #13124288	C₂	semidirect
25. D₁₃×#464	C₂	semidirect
26. #13124146	C₂	semidirect
27. #13124135	C₂	semidirect
28. #13124126	C₂	semidirect
29. #13124108	C₂	semidirect
30. #13123497	C₂	semidirect
31. C₁₃×#3211	C₂	semidirect
34. C₁₃×#529	C₂²	semidirect
38. C₂×#88172	C₂²	semidirect
39. C₂×Q₁₆×D₁₃	C₂²	semidirect
40. C₂×#88170	C₂²	semidirect
42. C₂×#88169	C₂²	semidirect
48. #11719402	C₂²	semidirect
49. #11719394	C₂²	semidirect
50. #11719387	C₂²	semidirect
57. #11719380	C₂²	semidirect
67. #11719330	C₂²	semidirect
69. #11719308	C₂²	semidirect
70. #11719283	C₂²	semidirect
71. C₄×Q₈×D₁₃	C₂²	semidirect
73. #11719262	C₂²	semidirect
75. C₄×#6129	C₂²	semidirect
84. #11719175	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#495	C₂²	semidirect
87. C₁₃×#488	C₂²	semidirect
88. C₁₃×#488	C₂²	semidirect
89. C₁₃×#464	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
95. C₁₃×#448	C₂²	semidirect
97. C₁₃×#431	C₂²	semidirect
98. #11718889	C₂²	semidirect
99. #11718889	C₂²	semidirect
102. #11718851	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718846	C₂²	semidirect
106. #11718843	C₂²	semidirect
107. #11718842	C₂²	semidirect
108. #11718836	C₂²	semidirect
110. #11718833	C₂²	semidirect
111. #11718831	C₂²	semidirect
113. #11718829	C₂²	semidirect
114. #11718828	C₂²	semidirect
115. #11718828	C₂²	semidirect
116. #11718827	C₂²	semidirect
117. #11718826	C₂²	semidirect
118. #11718824	C₂²	semidirect
119. #11718823	C₂²	semidirect
122. #11718816	C₂²	semidirect
123. #11718815	C₂²	semidirect
124. #11718814	C₂²	semidirect
125. #11718811	C₂²	semidirect
126. #11718730	C₂²	semidirect
127. #11718728	C₂²	semidirect
128. #11718721	C₂²	semidirect
129. #11718721	C₂²	semidirect
130. #11718721	C₂²	semidirect
131. #11718719	C₂²	semidirect
132. #11718716	C₂²	semidirect
133. #11718716	C₂²	semidirect
134. #11718715	C₂²	semidirect
135. #11718715	C₂²	semidirect
136. #11718715	C₂²	semidirect
137. #11718715	C₂²	semidirect
139. #11718708	C₂²	semidirect
141. #11718698	C₂²	semidirect
142. #11718689	C₂²	semidirect
143. #11718689	C₂²	semidirect
144. #11718677	C₂²	semidirect
145. #11718677	C₂²	semidirect
146. #11718587	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718506	C₂²	semidirect
150. #11718506	C₂²	semidirect
151. #11718498	C₂²	semidirect
152. #11718496	C₂²	semidirect
153. #11718494	C₂²	semidirect
154. D₁₃×C₄⋊C₈	C₂²	semidirect
155. #11718471	C₂²	semidirect
156. #11718471	C₂²	semidirect
157. #11718469	C₂²	semidirect
158. #11718469	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. #11718464	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. D₁₃×#103	C₂²	semidirect
163. #11718461	C₂²	semidirect
164. #11718459	C₂²	semidirect
165. #11718459	C₂²	semidirect
166. #11718458	C₂²	semidirect
167. #11718456	C₂²	semidirect
168. #11718454	C₂²	semidirect
169. #11718454	C₂²	semidirect
170. #11718453	C₂²	semidirect
179. #11718429	C₂²	semidirect
180. #11718428	C₂²	semidirect
181. #11718428	C₂²	semidirect
182. #11718426	C₂²	semidirect
183. #11718425	C₂²	semidirect
184. #11718423	C₂²	semidirect
185. #11718423	C₂²	semidirect
186. #11718421	C₂²	semidirect
189. #11718394	C₂²	semidirect
190. #11718394	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718360	C₂²	semidirect
196. #11718355	C₂²	semidirect
197. #11718354	C₂²	semidirect
198. #11718351	C₂²	semidirect
199. #11718351	C₂²	semidirect
200. #11718350	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. #11718342	C₂²	semidirect
751. #3211	D₁₃	semidirect
939. #529	C₂×D₁₃	semidirect
956. #495	C₂×D₁₃	semidirect
957. #495	C₂×D₁₃	semidirect
972. #488	C₂×D₁₃	semidirect
973. #488	C₂×D₁₃	semidirect
994. #464	C₂×D₁₃	semidirect
995. #464	C₂×D₁₃	semidirect
1000. #463	C₂×D₁₃	semidirect
1001. #463	C₂×D₁₃	semidirect
1027. #451	C₂×D₁₃	semidirect
1039. #448	C₂×D₁₃	semidirect
1049. #431	C₂×D₁₃	semidirect
1659. C₁₃	#60835	semidirect

Maximal subgroups

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

subgroup	index
#13128626	2
#13128261	2
#13125943	2
#13125938	2
#13125926	2
#13125923	2
#13125922	2
#13125915	2
#13125911	2
#13125904	2
#13125872	2
#13125869	2
#13125839	2
#13125837	2
#13125799	2
#13125794	2
#13125791	2
#13125326	2
#13125307	2
#13125200	2
#13125189	2
#13124325	2
#13124306	2
#13124288	2
D₁₃×#464	2
#13124146	2
#13124135	2
#13124126	2
#13124108	2
#13123497	2
C₁₃×#3211	2
#60835	13