Subgroups — #16733811

Order 3328.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128501	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128166	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125749	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125741	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125740	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125732	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125692	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125691	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125684	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125681	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125676	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125673	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125650	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125648	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125629	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125626	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125605	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124804	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124775	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124520	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124515	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124479	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124470	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124099	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124074	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123282	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×#88251	C₂²	1	1	yes	characteristic
34	C₂²×#6127	C₂²	1	1	yes	characteristic
35	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
37	#11719533	C₂²	1	1	yes	characteristic, complemented
38	#11719510	C₂²	1	1	yes	characteristic, complemented
39	D₄×C₂²⋊D₁₃	—	2	1	no	—
40	D₄×C₂²⋊D₁₃	—	2	1	no	—
41	#11719496	C₂²	1	1	yes	characteristic, complemented
42	#11719496	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
44	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
46	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
49	#11719358	—	2	1	no	—
50	#11719353	—	2	1	no	—
51	#11719334	C₂²	1	1	yes	characteristic, complemented
52	#11719334	C₂²	1	1	yes	characteristic, complemented
53	#11719333	C₂²	1	1	yes	characteristic
54	#11719333	C₂²	1	1	yes	characteristic, complemented
55	#11719317	—	2	1	no	—
56	#11719314	—	2	1	no	—
57	#11719313	C₂²	1	1	yes	characteristic
58	#11719313	C₂²	1	1	yes	characteristic, complemented
59	#11719313	C₂²	1	1	yes	characteristic, complemented
60	#11719313	C₂²	1	1	yes	characteristic, complemented
61	#11719312	C₂²	1	1	yes	characteristic
62	#11719312	C₂²	1	1	yes	characteristic
63	#11719312	C₂²	1	1	yes	characteristic, complemented
64	#11719312	C₂²	1	1	yes	characteristic, complemented
65	#11719311	C₂²	1	1	yes	characteristic
66	#11719311	C₂²	1	1	yes	characteristic, complemented
67	D₁₃×#121	C₂²	1	1	yes	characteristic
68	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
69	#11719304	—	2	1	no	—
70	#11719303	—	2	1	no	—
71	#11719297	—	2	1	no	—
72	#11719294	—	2	1	no	—
73	#11719253	—	2	1	no	—
74	#11719253	—	2	1	no	—
75	#11719252	—	2	1	no	—
76	#11719252	—	2	1	no	—
77	#11719229	C₂²	1	1	yes	characteristic, complemented
78	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
79	#11719215	C₂²	1	1	yes	characteristic, complemented
80	#11719209	C₂²	1	1	yes	characteristic
81	#11719195	—	2	1	no	—
82	#11719195	—	2	1	no	—
83	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718879	C₂²	1	1	yes	characteristic, complemented
99	#11718878	C₂²	1	1	yes	characteristic, complemented
100	#11718868	C₂²	1	1	yes	characteristic, complemented
101	#11718835	C₂²	1	1	yes	characteristic, complemented
102	#11718834	C₂²	1	1	yes	characteristic, complemented
103	#11718833	C₂²	1	1	yes	characteristic, complemented
104	#11718833	C₂²	1	1	yes	characteristic, complemented
105	#11718832	C₂²	1	1	yes	characteristic, complemented
106	#11718830	C₂²	1	1	yes	characteristic, complemented
107	#11718820	C₂²	1	1	yes	characteristic, complemented
108	#11718819	C₂²	1	1	yes	characteristic, complemented
109	#11718819	C₂²	1	1	yes	characteristic, complemented
110	#11718819	C₂²	1	1	yes	characteristic, complemented
111	#11718818	C₂²	1	1	yes	characteristic, complemented
112	#11718817	C₂²	1	1	yes	characteristic, complemented
113	#11718777	C₂²	1	1	yes	characteristic, complemented
114	#11718776	C₂²	1	1	yes	characteristic, complemented
115	#11718775	C₂²	1	1	yes	characteristic, complemented
116	#11718775	C₂²	1	1	yes	characteristic, complemented
117	#11718771	C₂²	1	1	yes	characteristic, complemented
118	#11718771	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718710	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718706	C₂²	1	1	yes	characteristic, complemented
123	#11718703	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718703	C₂²	1	1	yes	characteristic, complemented
126	#11718700	C₂²	1	1	yes	characteristic, complemented
127	#11718700	C₂²	1	1	yes	characteristic, complemented
128	#11718700	C₂²	1	1	yes	characteristic, complemented
129	#11718698	C₂²	1	1	yes	characteristic, complemented
130	#11718698	C₂²	1	1	yes	characteristic, complemented
131	#11718698	C₂²	1	1	yes	characteristic, complemented
132	#11718696	C₂²	1	1	yes	characteristic, complemented
133	#11718696	C₂²	1	1	yes	characteristic, complemented
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718664	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718632	C₂²	1	1	yes	characteristic, complemented
138	#11718628	C₂²	1	1	yes	characteristic, complemented
139	#11718549	C₂²	1	1	yes	characteristic, complemented
140	#11718547	C₂²	1	1	yes	characteristic, complemented
141	#11718545	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718544	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic, complemented
145	#11718542	C₂²	1	1	yes	characteristic, complemented
146	#11718541	C₂²	1	1	yes	characteristic, complemented
147	#11718529	C₂²	1	1	yes	characteristic, complemented
148	#11718527	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718524	C₂²	1	1	yes	characteristic, complemented
151	#11718524	C₂²	1	1	yes	characteristic, complemented
152	#11718523	C₂²	1	1	yes	characteristic, complemented
153	#11718522	C₂²	1	1	yes	characteristic, complemented
154	#11718521	C₂²	1	1	yes	characteristic, complemented
155	#11718475	C₂²	1	1	yes	characteristic, complemented
156	#11718474	C₂²	1	1	yes	characteristic, complemented
157	#11718473	C₂²	1	1	yes	characteristic, complemented
158	#11718472	C₂²	1	1	yes	characteristic, complemented
159	#11718471	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
163	#11718444	C₂²	1	1	yes	characteristic, complemented
164	#11718444	C₂²	1	1	yes	characteristic, complemented
165	#11718443	C₂²	1	1	yes	characteristic, complemented
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718442	C₂²	1	1	yes	characteristic, complemented
168	#11718442	C₂²	1	1	yes	characteristic, complemented
169	#11718441	C₂²	1	1	yes	characteristic, complemented
170	#11718440	C₂²	1	1	yes	characteristic, complemented
171	#11718439	C₂²	1	1	yes	characteristic, complemented
172	#11718439	C₂²	1	1	yes	characteristic, complemented
173	#11718438	C₂²	1	1	yes	characteristic, complemented
174	#11718438	C₂²	1	1	yes	characteristic, complemented
175	#11718437	C₂²	1	1	yes	characteristic, complemented
176	#11718436	C₂²	1	1	yes	characteristic, complemented
177	#11718435	C₂²	1	1	yes	characteristic, complemented
178	#11718435	C₂²	1	1	yes	characteristic, complemented
179	#11718435	C₂²	1	1	yes	characteristic, complemented
180	#11718434	C₂²	1	1	yes	characteristic, complemented
181	#11718433	C₂²	1	1	yes	characteristic, complemented
182	#11718433	C₂²	1	1	yes	characteristic, complemented
183	#11718431	C₂²	1	1	yes	characteristic, complemented
184	#11718431	C₂²	1	1	yes	characteristic, complemented
185	#11718431	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718398	C₂²	1	1	yes	characteristic, complemented
189	#11718395	C₂²	1	1	yes	characteristic, complemented
190	#11718395	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718388	C₂²	1	1	yes	characteristic
194	#11718388	C₂²	1	1	yes	characteristic
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	#11718387	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	#11718384	C₂²	1	1	yes	characteristic, complemented
202	#11718384	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
210	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
211	#41×D₁₃	—	4	2	no	—
212	#41×D₁₃	—	4	2	no	—
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	#88251	—	4	2	no	—
216	#88251	—	4	2	no	—
217	C₂×#6129	—	2	1	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	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×#6127	—	2	1	no	—
230	C₂×#6127	—	4	2	no	—
231	C₂×#6127	—	4	2	no	—
232	C₂×#6127	D₄	1	1	yes	characteristic
233	C₂×#6127	D₄	1	1	yes	characteristic
234	C₂×#6127	D₄	1	1	yes	characteristic
235	C₂×#6127	D₄	1	1	yes	characteristic
236	C₂×#6127	C₂³	1	1	yes	characteristic
237	C₂×#6127	C₂³	1	1	yes	characteristic
238	C₂×#6127	C₂³	1	1	yes	characteristic
239	C₂×#6127	C₂³	1	1	yes	characteristic
240	C₂×#6127	C₂³	1	1	yes	characteristic
241	C₂×#6127	C₂³	1	1	yes	characteristic
242	C₂²×D₅₂	D₄	1	1	yes	characteristic
243	C₂²×C₄×D₁₃	—	2	1	no	—
244	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
246	C₂²×Dic₂₆	D₄	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
251	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₁₃×#121	C₂³	1	1	yes	characteristic
261	C₁₃×#121	C₂³	1	1	yes	characteristic
262	C₁₃×#121	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	1	yes	characteristic
264	C₁₃×#120	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₁₃×#117	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
270	#88207	—	2	1	no	—
271	#88207	—	2	1	no	—
272	#88207	—	2	1	no	—
273	#88207	—	2	1	no	—
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	C₂×#6107	C₂³	1	1	yes	characteristic
277	C₂×#6106	C₂³	1	1	yes	characteristic
278	#88194	—	2	1	no	—
279	#88194	—	2	1	no	—
280	#88194	—	2	1	no	—
281	#88194	—	2	1	no	—
282	#88194	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88192	—	2	1	no	—
290	#88192	—	2	1	no	—
291	#88192	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88192	C₂³	1	1	yes	characteristic
294	#88192	C₂³	1	1	yes	characteristic
295	#88192	C₂³	1	1	yes	characteristic
296	#88192	C₂³	1	1	yes	characteristic
297	#88192	C₂³	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88191	—	2	1	no	—
300	#88191	—	2	1	no	—
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88190	—	2	1	no	—
307	#88189	—	2	1	no	—
308	D₄×Dic₁₃	—	2	1	no	—
309	D₄×Dic₁₃	—	2	1	no	—
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	C₂×#6105	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	#88184	—	2	1	no	—
317	#88184	—	2	1	no	—
318	#88184	C₂³	1	1	yes	characteristic
319	#88184	C₂³	1	1	yes	characteristic
320	#88184	C₂³	1	1	yes	characteristic
321	#88184	C₂³	1	1	yes	characteristic
322	#88183	—	2	1	no	—
323	#88183	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	—	2	1	no	—
325	C₄×C₂²⋊D₁₃	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₄×C₂²⋊D₁₃	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	—	2	1	no	—
332	#88180	C₂³	1	1	yes	characteristic
333	#88180	C₂³	1	1	yes	characteristic
334	#88178	C₂³	1	1	yes	characteristic
335	#88178	C₂³	1	1	yes	characteristic
336	#88178	C₂³	1	1	yes	characteristic
337	#88178	C₂³	1	1	yes	characteristic
338	C₂×#6099	C₂³	1	1	yes	characteristic
339	C₂×#6099	C₂³	1	1	yes	characteristic
340	#88169	—	4	2	no	—
341	SD₁₆×D₁₃	—	4	2	no	—
342	#88165	—	4	2	no	—
343	D₈×D₁₃	—	4	2	no	—
344	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
345	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
346	C₂×#6095	C₂³	1	1	yes	characteristic
347	C₂×#6095	C₂³	1	1	yes	characteristic
348	#88155	—	4	2	no	—
349	#88155	—	4	2	no	—
350	C₂×#6094	C₂³	1	1	yes	characteristic
351	C₂×#6094	C₂³	1	1	yes	characteristic
352	C₂×#6094	C₂³	1	1	yes	characteristic
353	C₂×#6094	C₂³	1	1	yes	characteristic
354	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
355	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
356	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
357	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
358	#88151	—	2	1	no	—
359	#88151	C₂³	1	1	yes	characteristic
360	#88151	C₂³	1	1	yes	characteristic
361	#88151	C₂³	1	1	yes	characteristic
362	#88151	C₂³	1	1	yes	characteristic
363	#88150	—	2	1	no	—
364	#88150	—	2	1	no	—
365	#88149	—	2	1	no	—
366	#88149	—	2	1	no	—
367	#88149	—	2	1	no	—
368	#88149	C₂³	1	1	yes	characteristic
369	#88149	C₂³	1	1	yes	characteristic
370	#88149	C₂³	1	1	yes	characteristic
371	#88149	C₂³	1	1	yes	characteristic
372	#88148	—	2	1	no	—
373	#88148	—	2	1	no	—
374	#88147	—	2	1	no	—
375	#88146	C₂³	1	1	yes	characteristic
376	#88146	C₂³	1	1	yes	characteristic
377	#88146	C₂³	1	1	yes	characteristic
378	#88146	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
380	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
383	#88142	—	2	1	no	—
384	#88142	—	2	1	no	—
385	#88141	—	2	1	no	—
386	#88140	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88139	—	2	1	no	—
390	#88139	—	2	1	no	—
391	#88139	—	2	1	no	—
392	#88139	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88138	—	2	1	no	—
399	#88138	—	2	1	no	—
400	#88138	—	2	1	no	—
401	#88138	—	2	1	no	—
402	#88138	—	2	1	no	—
403	#88137	—	2	1	no	—
404	#88137	—	2	1	no	—
405	#88137	—	2	1	no	—
406	#88137	—	2	1	no	—
407	#88136	—	2	1	no	—
408	#88136	—	2	1	no	—
409	#88136	—	2	1	no	—
410	#88136	—	2	1	no	—
411	#88136	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	C₂²⋊C₄×D₁₃	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	—	2	1	no	—
420	#88132	—	2	1	no	—
421	#88131	—	2	1	no	—
422	C₄×D₅₂	—	2	1	no	—
423	C₄×D₅₂	—	2	1	no	—
424	#88126	—	2	1	no	—
425	C₄²×D₁₃	—	2	1	no	—
426	C₁₃×#107	C₂³	1	1	yes	characteristic
427	C₁₃×#107	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×#102	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88058	C₂³	1	1	yes	characteristic
468	#88057	C₂³	1	1	yes	characteristic
469	#88057	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#88048	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#60760	—	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	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
497	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	4	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	—	8	2	no	—
512	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	4	1	no	—
518	C₂²×C₄×C₁₃	—	4	1	no	—
519	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	4	2	no	—
544	C₂×C₂²⋊D₁₃	—	4	2	no	—
545	C₂×C₂²⋊D₁₃	—	4	4	no	—
546	C₂×C₂²⋊D₁₃	—	4	4	no	—
547	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	—	2	1	no	—
557	C₂²×Dic₁₃	—	2	1	no	—
558	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
560	#6131	—	4	1	no	—
561	#6131	—	4	1	no	—
562	Q₈×D₁₃	—	2	2	no	—
563	Q₈×D₁₃	—	2	2	no	—
564	#6129	—	2	2	no	—
565	#6129	—	2	2	no	—
566	#6129	—	4	1	no	—
567	#6129	—	4	1	no	—
568	#6129	—	4	1	no	—
569	#6129	—	4	1	no	—
570	#6129	—	4	4	no	—
571	#6129	—	4	4	no	—
572	D₄×D₁₃	—	2	2	no	—
573	D₄×D₁₃	—	2	2	no	—
574	D₄×D₁₃	—	2	2	no	—
575	D₄×D₁₃	—	2	2	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	1	no	—
578	D₄×D₁₃	—	4	4	no	—
579	D₄×D₁₃	—	4	4	no	—
580	D₄×D₁₃	—	8	2	no	—
581	D₄×D₁₃	—	8	2	no	—
582	#6127	—	2	2	no	—
583	#6127	—	2	2	no	—
584	#6127	—	2	2	no	—
585	#6127	—	2	2	no	—
586	#6127	—	4	2	no	—
587	#6127	—	4	2	no	—
588	#6127	—	4	1	no	—
589	#6127	—	4	1	no	—
590	#6127	—	4	1	no	—
591	#6127	—	4	1	no	—
592	#6127	—	4	1	no	—
593	#6127	—	4	1	no	—
594	#6127	—	4	1	no	—
595	#6127	—	4	1	no	—
596	#6127	—	4	2	no	—
597	#6127	—	4	2	no	—
598	#6127	—	4	4	no	—
599	C₂×D₅₂	—	2	1	no	—
600	C₂×D₅₂	—	2	1	no	—
601	C₂×D₅₂	—	2	1	no	—
602	C₂×D₅₂	—	2	1	no	—
603	C₂×D₅₂	—	2	1	no	—
604	C₂×D₅₂	—	4	2	no	—
605	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
606	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
607	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
608	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
609	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
610	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₁₃	—	2	2	no	—
612	C₂×C₄×D₁₃	—	2	2	no	—
613	C₂×C₄×D₁₃	—	2	1	no	—
614	C₂×C₄×D₁₃	—	2	1	no	—
615	C₂×C₄×D₁₃	—	2	1	no	—
616	C₂×C₄×D₁₃	—	2	1	no	—
617	C₂×C₄×D₁₃	—	2	1	no	—
618	C₂×C₄×D₁₃	—	2	1	no	—
619	C₂×C₄×D₁₃	—	2	1	no	—
620	C₂×C₄×D₁₃	—	2	1	no	—
621	C₂×C₄×D₁₃	—	4	1	no	—
622	C₂×C₄×D₁₃	—	4	1	no	—
623	C₂×C₄×D₁₃	—	4	4	no	—
624	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
625	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
626	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₂₆	—	2	1	no	—
633	C₂×Dic₂₆	—	4	2	no	—
634	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
635	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
636	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
637	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
638	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
640	C₁₃×SD₁₆	—	4	1	no	—
641	C₁₃×SD₁₆	—	4	1	no	—
642	C₁₃×D₈	—	4	1	no	—
643	C₁₃×D₈	—	4	1	no	—
644	C₂×C₈×C₁₃	—	4	1	no	—
645	C₂×C₈×C₁₃	—	4	1	no	—
646	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₁₃×C₄⋊C₄	—	2	1	no	—
651	C₁₃×C₄⋊C₄	—	2	1	no	—
652	C₁₃×C₄⋊C₄	—	2	1	no	—
653	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	—	2	1	no	—
661	C₁₃×C₂²⋊C₄	—	2	1	no	—
662	C₁₃×C₂²⋊C₄	—	2	1	no	—
663	C₁₃×C₂²⋊C₄	—	2	1	no	—
664	C₁₃×C₂²⋊C₄	—	2	1	no	—
665	C₁₃×C₂²⋊C₄	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	C₂²⋊Dic₁₃	—	2	1	no	—
670	C₂²⋊Dic₁₃	—	2	1	no	—
671	C₂²⋊Dic₁₃	—	2	1	no	—
672	C₂²⋊Dic₁₃	—	2	1	no	—
673	C₂²⋊Dic₁₃	—	2	1	no	—
674	C₂²⋊Dic₁₃	—	2	1	no	—
675	C₂²⋊Dic₁₃	—	2	1	no	—
676	C₂²⋊Dic₁₃	—	2	1	no	—
677	C₂²⋊Dic₁₃	—	2	1	no	—
678	C₂²⋊Dic₁₃	—	2	1	no	—
679	#6107	—	4	1	no	—
680	#6106	—	4	1	no	—
681	#6105	—	4	1	no	—
682	#6105	—	4	1	no	—
683	#6105	—	4	1	no	—
684	#6104	—	4	1	no	—
685	#6104	—	4	1	no	—
686	#6104	—	4	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	C₄⋊Dic₁₃	—	2	1	no	—
706	C₄⋊Dic₁₃	—	2	1	no	—
707	C₄⋊Dic₁₃	—	2	1	no	—
708	C₄⋊Dic₁₃	—	2	1	no	—
709	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	#6101	—	2	1	no	—
721	#6101	—	2	1	no	—
722	#6101	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	C₄×Dic₁₃	—	2	1	no	—
727	C₄×Dic₁₃	—	2	1	no	—
728	C₄×Dic₁₃	—	2	1	no	—
729	#6099	—	4	1	no	—
730	#6099	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	Dic₅₂	—	4	1	no	—
736	D₁₀₄	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6095	—	4	1	no	—
739	#6094	—	2	2	no	—
740	#6094	—	2	2	no	—
741	#6094	—	4	1	no	—
742	#6094	—	4	1	no	—
743	C₈×D₁₃	—	2	2	no	—
744	C₈×D₁₃	—	2	2	no	—
745	C₈×D₁₃	—	4	1	no	—
746	C₈×D₁₃	—	4	1	no	—
747	#3488	—	13	1	no	—
748	#3449	—	13	1	no	—
749	#3204	—	13	1	no	—
750	#3204	—	13	1	no	—
751	#3203	—	13	1	no	—
752	#3203	—	13	1	no	—
753	#3198	—	13	1	no	—
754	#3198	—	13	1	no	—
755	#3198	—	13	1	no	—
756	#3198	—	13	1	no	—
757	#3197	—	13	1	no	—
758	#3197	—	13	1	no	—
759	#3194	—	13	1	no	—
760	#3194	—	13	1	no	—
761	#3191	—	13	1	no	—
762	#3191	—	13	1	no	—
763	#3188	—	13	1	no	—
764	#3188	D₁₃	1	1	yes	characteristic, complemented
765	#3097	—	13	1	no	—
766	#3096	—	13	1	no	—
767	#3094	—	13	1	no	—
768	#3091	—	13	1	no	—
769	#3063	—	13	1	no	—
770	#3062	—	13	1	no	—
771	#3058	—	13	1	no	—
772	#3057	—	13	1	no	—
773	#3009	—	13	1	no	—
774	#3008	—	13	1	no	—
775	#3005	—	13	1	no	—
776	C₂×#449	—	13	1	no	—
777	#2880	—	13	1	no	—
778	C₂³×C₁₃	—	2	1	no	—
779	C₂³×C₁₃	—	2	1	no	—
780	C₂³×C₁₃	—	2	1	no	—
781	C₂³×C₁₃	—	4	1	no	—
782	C₂³×C₁₃	—	4	1	no	—
783	C₂³×C₁₃	—	4	1	no	—
784	C₂³×C₁₃	—	4	2	no	—
785	C₂³×C₁₃	—	8	1	no	—
786	C₂³×C₁₃	—	8	1	no	—
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	—	2	2	no	—
791	C₂²×D₁₃	—	2	1	no	—
792	C₂²×D₁₃	—	2	1	no	—
793	C₂²×D₁₃	—	4	1	no	—
794	C₂²×D₁₃	—	4	1	no	—
795	C₂²×D₁₃	—	4	1	no	—
796	C₂²×D₁₃	—	4	1	no	—
797	C₂²×D₁₃	—	4	1	no	—
798	C₂²×D₁₃	—	4	2	no	—
799	C₂²×D₁₃	—	4	2	no	—
800	C₂²×D₁₃	—	4	2	no	—
801	C₂²×D₁₃	—	8	1	no	—
802	C₂²×D₁₃	—	8	1	no	—
803	C₂²×D₁₃	—	8	1	no	—
804	C₂²×D₁₃	—	8	1	no	—
805	C₂²×D₁₃	—	8	1	no	—
806	C₂²×D₁₃	—	8	1	no	—
807	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
811	Q₈×C₁₃	—	2	1	no	—
812	Q₈×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	2	1	no	—
817	D₄×C₁₃	—	2	1	no	—
818	D₄×C₁₃	—	2	1	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	4	2	no	—
821	D₄×C₁₃	—	4	2	no	—
822	D₄×C₁₃	—	4	2	no	—
823	D₄×C₁₃	—	8	1	no	—
824	D₄×C₁₃	—	8	1	no	—
825	D₄×C₁₃	—	8	1	no	—
826	D₄×C₁₃	—	8	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	4	1	no	—
839	C₂×C₄×C₁₃	—	4	1	no	—
840	C₂×C₄×C₁₃	—	4	1	no	—
841	C₂×C₄×C₁₃	—	4	2	no	—
842	C₂×C₄×C₁₃	—	8	1	no	—
843	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
847	C₂²⋊D₁₃	—	2	2	no	—
848	C₂²⋊D₁₃	—	2	2	no	—
849	C₂²⋊D₁₃	—	2	2	no	—
850	C₂²⋊D₁₃	—	2	2	no	—
851	C₂²⋊D₁₃	—	4	1	no	—
852	C₂²⋊D₁₃	—	4	1	no	—
853	C₂²⋊D₁₃	—	4	1	no	—
854	C₂²⋊D₁₃	—	4	1	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	4	2	no	—
862	C₂²⋊D₁₃	—	4	2	no	—
863	C₂²⋊D₁₃	—	4	2	no	—
864	C₂²⋊D₁₃	—	8	1	no	—
865	C₂²⋊D₁₃	—	8	1	no	—
866	C₂²⋊D₁₃	—	8	1	no	—
867	C₂²⋊D₁₃	—	8	1	no	—
868	C₂²⋊D₁₃	—	8	1	no	—
869	C₂²⋊D₁₃	—	8	1	no	—
870	C₂²⋊D₁₃	—	8	1	no	—
871	C₂²⋊D₁₃	—	8	1	no	—
872	C₂²⋊D₁₃	—	8	1	no	—
873	C₂×Dic₁₃	—	2	2	no	—
874	C₂×Dic₁₃	—	2	1	no	—
875	C₂×Dic₁₃	—	2	1	no	—
876	C₂×Dic₁₃	—	2	1	no	—
877	C₂×Dic₁₃	—	2	1	no	—
878	C₂×Dic₁₃	—	2	1	no	—
879	C₂×Dic₁₃	—	2	1	no	—
880	C₂×Dic₁₃	—	4	1	no	—
881	C₂×Dic₁₃	—	4	2	no	—
882	C₂×Dic₁₃	—	4	2	no	—
883	C₂×Dic₁₃	—	4	2	no	—
884	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
885	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
886	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
888	D₅₂	—	2	2	no	—
889	D₅₂	—	2	2	no	—
890	D₅₂	—	2	1	no	—
891	D₅₂	—	2	1	no	—
892	D₅₂	—	2	1	no	—
893	D₅₂	—	2	1	no	—
894	D₅₂	—	4	1	no	—
895	D₅₂	—	4	1	no	—
896	D₅₂	—	4	2	no	—
897	D₅₂	—	8	1	no	—
898	D₅₂	—	8	1	no	—
899	D₅₂	—	8	1	no	—
900	D₅₂	—	8	1	no	—
901	C₄×D₁₃	—	2	2	no	—
902	C₄×D₁₃	—	2	1	no	—
903	C₄×D₁₃	—	2	1	no	—
904	C₄×D₁₃	—	2	1	no	—
905	C₄×D₁₃	—	2	1	no	—
906	C₄×D₁₃	—	2	1	no	—
907	C₄×D₁₃	—	2	1	no	—
908	C₄×D₁₃	—	2	2	no	—
909	C₄×D₁₃	—	4	1	no	—
910	C₄×D₁₃	—	4	1	no	—
911	C₄×D₁₃	—	4	2	no	—
912	C₄×D₁₃	—	4	2	no	—
913	C₄×D₁₃	—	4	2	no	—
914	C₄×D₁₃	—	4	2	no	—
915	C₄×D₁₃	—	8	1	no	—
916	C₄×D₁₃	—	8	1	no	—
917	C₄×D₁₃	—	8	1	no	—
918	C₄×D₁₃	—	8	1	no	—
919	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
920	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
921	Dic₂₆	—	2	2	no	—
922	Dic₂₆	—	2	2	no	—
923	Dic₂₆	—	2	1	no	—
924	Dic₂₆	—	2	1	no	—
925	Dic₂₆	—	2	1	no	—
926	Dic₂₆	—	2	1	no	—
927	Dic₂₆	—	4	1	no	—
928	Dic₂₆	—	4	1	no	—
929	Dic₂₆	—	4	2	no	—
930	C₈×C₁₃	—	2	1	no	—
931	C₈×C₁₃	—	2	1	no	—
932	C₈×C₁₃	—	2	1	no	—
933	C₈×C₁₃	—	2	1	no	—
934	#1055	—	2	1	no	—
935	#1055	—	2	1	no	—
936	#1055	—	2	1	no	—
937	#1055	—	2	1	no	—
938	C₂×H(5,𝔽₂)	—	13	1	no	—
939	C₂²×#41	—	13	1	no	—
940	C₂²×#41	—	13	1	no	—
941	C₂×#137	—	13	1	no	—
942	C₂×AGL(1,ℤ/8)	—	13	1	no	—
943	C₂²×SD₁₆	—	13	1	no	—
944	C₂²×D₈	—	13	1	no	—
945	C₂×#131	—	13	1	no	—
946	C₂×#131	—	13	1	no	—
947	#550	—	26	1	no	—
948	#548	—	26	1	no	—
949	#546	—	26	1	no	—
950	#546	—	26	1	no	—
951	#546	—	26	1	no	—
952	D₄²	—	26	1	no	—
953	D₄²	—	26	1	no	—
954	D₄²	—	26	1	no	—
955	#537	—	13	1	no	—
956	#537	—	13	1	no	—
957	#537	—	13	1	no	—
958	#537	—	13	1	no	—
959	#537	—	13	1	no	—
960	#537	—	13	1	no	—
961	#537	—	13	1	no	—
962	#536	—	13	1	no	—
963	#536	—	13	1	no	—
964	#536	—	26	1	no	—
965	#535	—	13	1	no	—
966	#535	—	13	1	no	—
967	#535	—	13	1	no	—
968	#535	—	13	1	no	—
969	#535	—	13	1	no	—
970	#535	—	26	1	no	—
971	#534	—	26	1	no	—
972	#534	—	26	1	no	—
973	#532	—	26	1	no	—
974	#532	—	26	1	no	—
975	#525	—	13	1	no	—
976	#525	—	13	1	no	—
977	#525	—	13	1	no	—
978	#525	—	13	1	no	—
979	#525	—	13	1	no	—
980	#525	—	13	1	no	—
981	#525	—	26	1	no	—
982	#525	—	26	1	no	—
983	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
984	C₂×#121	—	13	1	no	—
985	C₂×#121	—	13	1	no	—
986	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#520	—	13	1	no	—
988	C₂×#117	—	13	1	no	—
989	#485	—	13	1	no	—
990	#485	—	13	1	no	—
991	#485	—	13	1	no	—
992	#485	—	13	1	no	—
993	#485	—	13	1	no	—
994	#485	—	13	1	no	—
995	#484	—	13	1	no	—
996	#484	—	13	1	no	—
997	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#483	—	13	1	no	—
999	#483	—	13	1	no	—
1000	#483	—	13	1	no	—
1001	#482	—	13	1	no	—
1002	#482	—	13	1	no	—
1003	#482	—	13	1	no	—
1004	#482	—	13	1	no	—
1005	#482	—	13	1	no	—
1006	#482	—	13	1	no	—
1007	#482	—	13	1	no	—
1008	#482	—	13	1	no	—
1009	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#481	—	13	1	no	—
1012	#481	—	13	1	no	—
1013	#481	—	13	1	no	—
1014	#481	—	13	1	no	—
1015	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	#480	—	13	1	no	—
1017	#480	—	13	1	no	—
1018	#480	—	13	1	no	—
1019	#480	—	13	1	no	—
1020	#480	—	13	1	no	—
1021	#470	—	13	1	no	—
1022	#470	—	13	1	no	—
1023	#469	—	13	1	no	—
1024	#469	—	13	1	no	—
1025	#469	—	13	1	no	—
1026	#469	—	13	1	no	—
1027	#469	—	13	1	no	—
1028	#469	—	13	1	no	—
1029	#468	—	13	1	no	—
1030	#468	—	13	1	no	—
1031	#468	—	13	1	no	—
1032	#468	—	13	1	no	—
1033	#468	—	13	1	no	—
1034	#468	—	13	1	no	—
1035	#468	—	13	1	no	—
1036	#468	—	13	1	no	—
1037	#467	—	13	1	no	—
1038	#467	—	13	1	no	—
1039	#466	—	13	1	no	—
1040	#466	—	13	1	no	—
1041	#466	—	13	1	no	—
1042	#466	—	13	1	no	—
1043	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	#465	—	13	1	no	—
1046	#465	—	13	1	no	—
1047	#465	—	13	1	no	—
1048	#465	—	13	1	no	—
1049	#465	—	13	1	no	—
1050	#465	—	13	1	no	—
1051	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	#452	—	13	1	no	—
1054	#452	—	13	1	no	—
1055	#452	—	13	1	no	—
1056	#452	—	13	1	no	—
1057	#452	—	13	1	no	—
1058	#452	—	13	1	no	—
1059	#452	—	13	1	no	—
1060	#452	—	13	1	no	—
1061	#450	—	13	1	no	—
1062	#450	—	13	1	no	—
1063	#450	—	13	1	no	—
1064	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	#449	—	13	1	no	—
1066	#449	—	13	1	no	—
1067	#449	—	13	1	no	—
1068	#449	—	13	1	no	—
1069	#449	—	13	1	no	—
1070	#449	—	13	1	no	—
1071	#449	—	13	1	no	—
1072	#449	—	13	1	no	—
1073	#449	—	13	1	no	—
1074	#449	—	13	1	no	—
1075	#449	—	13	1	no	—
1076	#449	—	13	1	no	—
1077	#449	—	13	1	no	—
1078	#449	—	13	1	no	—
1079	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1081	#447	—	13	1	no	—
1082	#447	—	13	1	no	—
1083	#447	—	13	1	no	—
1084	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1085	#428	—	13	1	no	—
1086	#428	—	13	1	no	—
1087	#427	—	13	1	no	—
1088	#427	—	13	1	no	—
1089	#419	—	13	1	no	—
1090	#418	—	13	1	no	—
1091	#418	—	13	1	no	—
1092	#418	—	13	1	no	—
1093	#416	—	13	1	no	—
1094	#416	—	13	1	no	—
1095	C₂×#103	—	13	1	no	—
1096	C₂×#102	—	13	1	no	—
1097	#408	—	13	1	no	—
1098	#408	—	13	1	no	—
1099	#408	—	13	1	no	—
1100	#408	—	13	1	no	—
1101	#408	—	13	1	no	—
1102	#408	—	13	1	no	—
1103	#407	—	13	1	no	—
1104	#407	—	13	1	no	—
1105	#407	—	13	1	no	—
1106	C₂×C₂²⋊C₈	—	13	1	no	—
1107	C₂×C₂²⋊C₈	—	13	1	no	—
1108	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1109	C₂²×C₁₃	—	2	1	no	—
1110	C₂²×C₁₃	—	2	1	no	—
1111	C₂²×C₁₃	—	2	1	no	—
1112	C₂²×C₁₃	—	2	1	no	—
1113	C₂²×C₁₃	—	2	1	no	—
1114	C₂²×C₁₃	—	2	1	no	—
1115	C₂²×C₁₃	—	2	1	no	—
1116	C₂²×C₁₃	—	2	1	no	—
1117	C₂²×C₁₃	—	2	1	no	—
1118	C₂²×C₁₃	—	4	1	no	—
1119	C₂²×C₁₃	—	4	1	no	—
1120	C₂²×C₁₃	—	4	1	no	—
1121	C₂²×C₁₃	—	4	1	no	—
1122	C₂²×C₁₃	—	4	1	no	—
1123	C₂²×C₁₃	—	4	1	no	—
1124	C₂²×C₁₃	—	4	1	no	—
1125	C₂²×C₁₃	—	4	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	8	2	no	—
1128	C₂²×C₁₃	—	16	2	no	—
1129	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1130	C₂×D₁₃	—	2	1	no	—
1131	C₂×D₁₃	—	2	1	no	—
1132	C₂×D₁₃	—	2	1	no	—
1133	C₂×D₁₃	—	2	1	no	—
1134	C₂×D₁₃	—	2	1	no	—
1135	C₂×D₁₃	—	2	1	no	—
1136	C₂×D₁₃	—	2	1	no	—
1137	C₂×D₁₃	—	2	1	no	—
1138	C₂×D₁₃	—	2	1	no	—
1139	C₂×D₁₃	—	2	1	no	—
1140	C₂×D₁₃	—	2	1	no	—
1141	C₂×D₁₃	—	4	1	no	—
1142	C₂×D₁₃	—	4	1	no	—
1143	C₂×D₁₃	—	4	1	no	—
1144	C₂×D₁₃	—	4	1	no	—
1145	C₂×D₁₃	—	4	1	no	—
1146	C₂×D₁₃	—	4	1	no	—
1147	C₂×D₁₃	—	8	2	no	—
1148	C₂×D₁₃	—	8	4	no	—
1149	C₂×D₁₃	—	8	2	no	—
1150	C₂×D₁₃	—	16	2	no	—
1151	C₂×D₁₃	—	16	2	no	—
1152	C₂×D₁₃	#534	1	2	yes	—
1153	C₄×C₁₃	—	2	1	no	—
1154	C₄×C₁₃	—	2	1	no	—
1155	C₄×C₁₃	—	2	1	no	—
1156	C₄×C₁₃	—	4	1	no	—
1157	C₄×C₁₃	—	4	1	no	—
1158	C₄×C₁₃	—	4	1	no	—
1159	C₄×C₁₃	—	4	1	no	—
1160	C₄×C₁₃	—	4	1	no	—
1161	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1162	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1163	Dic₁₃	—	2	1	no	—
1164	Dic₁₃	—	2	1	no	—
1165	Dic₁₃	—	2	1	no	—
1166	Dic₁₃	—	4	1	no	—
1167	Dic₁₃	—	4	1	no	—
1168	Dic₁₃	—	4	1	no	—
1169	Dic₁₃	—	4	1	no	—
1170	Dic₁₃	—	4	1	no	—
1171	Dic₁₃	—	4	1	no	—
1172	Dic₁₃	#534	1	2	yes	—
1173	H(5,𝔽₂)	—	52	2	no	—
1174	H(5,𝔽₂)	—	52	2	no	—
1175	C₂×#41	—	13	1	no	—
1176	C₂×#41	—	13	1	no	—
1177	C₂×#41	—	13	1	no	—
1178	C₂×#41	—	13	1	no	—
1179	C₂×#41	—	13	1	no	—
1180	C₂×#41	—	13	1	no	—
1181	C₂×#41	—	13	1	no	—
1182	C₂×#41	—	13	1	no	—
1183	C₂×#41	—	13	1	no	—
1184	C₂×#41	—	13	1	no	—
1185	C₂×#41	—	13	1	no	—
1186	C₂×#41	—	13	1	no	—
1187	C₂×#41	—	13	1	no	—
1188	C₂×#41	—	13	1	no	—
1189	C₂×#41	—	26	1	no	—
1190	C₂×#41	—	26	1	no	—
1191	C₂×#41	—	26	1	no	—
1192	C₂×#41	—	52	2	no	—
1193	C₂×#41	—	52	2	no	—
1194	C₂×#41	—	52	2	no	—
1195	C₂×#41	—	52	2	no	—
1196	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂²×Q₈	—	13	1	no	—
1198	C₂²×Q₈	—	13	1	no	—
1199	C₂²×D₄	—	2	1	no	—
1200	C₂²×D₄	—	13	1	no	—
1201	C₂²×D₄	—	13	1	no	—
1202	C₂²×D₄	—	13	1	no	—
1203	C₂²×D₄	—	13	1	no	—
1204	C₂²×D₄	—	13	1	no	—
1205	C₂²×D₄	—	13	1	no	—
1206	C₂²×D₄	—	26	1	no	—
1207	C₂²×D₄	—	26	1	no	—
1208	C₂²×D₄	—	26	1	no	—
1209	C₂²×D₄	—	26	1	no	—
1210	C₂²×D₄	—	26	1	no	—
1211	C₂²×D₄	—	26	1	no	—
1212	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂³×C₄	—	13	1	no	—
1214	C₂³×C₄	—	13	1	no	—
1215	C₂³×C₄	—	26	1	no	—
1216	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1217	#137	—	52	2	no	—
1218	AGL(1,ℤ/8)	—	52	2	no	—
1219	C₂×Q₁₆	—	13	1	no	—
1220	C₂×Q₁₆	—	13	1	no	—
1221	C₂×SD₁₆	—	13	1	no	—
1222	C₂×SD₁₆	—	13	1	no	—
1223	C₂×SD₁₆	—	13	1	no	—
1224	C₂×SD₁₆	—	13	1	no	—
1225	C₂×SD₁₆	—	13	1	no	—
1226	C₂×SD₁₆	—	13	1	no	—
1227	C₂×SD₁₆	—	52	2	no	—
1228	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂×D₈	—	13	1	no	—
1231	C₂×D₈	—	13	1	no	—
1232	C₂×D₈	—	13	1	no	—
1233	C₂×D₈	—	13	1	no	—
1234	C₂×D₈	—	52	2	no	—
1235	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1236	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1237	#131	—	52	2	no	—
1238	#131	—	52	2	no	—
1239	C₂×M₁₆	—	13	1	no	—
1240	C₂×M₁₆	—	13	1	no	—
1241	C₂×M₁₆	—	13	1	no	—
1242	C₂×M₁₆	—	13	1	no	—
1243	C₂×M₁₆	—	13	1	no	—
1244	C₂×M₁₆	—	13	1	no	—
1245	C₂²×C₈	—	13	1	no	—
1246	C₂²×C₈	—	13	1	no	—
1247	C₂²×C₈	—	13	1	no	—
1248	C₂²×C₈	—	13	1	no	—
1249	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1250	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄⋊Q₈	—	26	1	no	—
1252	C₄⋊Q₈	—	26	1	no	—
1253	#127	—	26	1	no	—
1254	#127	—	26	1	no	—
1255	#127	—	26	1	no	—
1256	#127	—	26	1	no	—
1257	#127	—	26	1	no	—
1258	#124	—	26	1	no	—
1259	#124	—	26	1	no	—
1260	#124	—	26	1	no	—
1261	#124	—	26	1	no	—
1262	#124	—	26	1	no	—
1263	#124	—	26	1	no	—
1264	#124	—	26	1	no	—
1265	#123	—	2	1	no	—
1266	#123	—	26	1	no	—
1267	#123	—	26	1	no	—
1268	#123	—	26	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	#123	—	26	1	no	—
1275	#123	—	26	1	no	—
1276	C₂²⋊Q₈	—	13	1	no	—
1277	C₂²⋊Q₈	—	13	1	no	—
1278	C₂²⋊Q₈	—	13	1	no	—
1279	C₂²⋊Q₈	—	13	1	no	—
1280	C₂²⋊Q₈	—	13	1	no	—
1281	C₂²⋊Q₈	—	13	1	no	—
1282	C₂²⋊Q₈	—	13	1	no	—
1283	C₂²⋊Q₈	—	13	1	no	—
1284	C₂²⋊Q₈	—	13	1	no	—
1285	C₂²⋊Q₈	—	13	1	no	—
1286	C₂²⋊Q₈	—	26	1	no	—
1287	C₂²⋊Q₈	—	26	1	no	—
1288	C₂²⋊Q₈	—	26	1	no	—
1289	C₂²⋊Q₈	—	26	1	no	—
1290	C₂²⋊Q₈	—	26	1	no	—
1291	C₂²⋊Q₈	—	26	1	no	—
1292	C₂²⋊Q₈	—	26	1	no	—
1293	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1294	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	13	1	no	—
1306	#121	—	13	1	no	—
1307	#121	—	13	1	no	—
1308	#121	—	13	1	no	—
1309	#121	—	13	1	no	—
1310	#121	—	13	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	—	26	1	no	—
1333	#121	—	26	1	no	—
1334	#121	—	26	1	no	—
1335	#121	—	26	1	no	—
1336	#121	C₂²×D₁₃	1	1	yes	characteristic
1337	#121	C₂²×D₁₃	1	1	yes	characteristic
1338	#121	C₂²×D₁₃	1	1	yes	characteristic
1339	#121	C₂²×D₁₃	1	1	yes	characteristic
1340	#121	C₂²×D₁₃	1	1	yes	characteristic
1341	#121	C₂²×D₁₃	1	1	yes	characteristic
1342	#120	—	2	1	no	—
1343	#120	—	26	1	no	—
1344	#120	—	26	1	no	—
1345	#120	—	26	1	no	—
1346	#120	—	26	1	no	—
1347	#120	—	26	1	no	—
1348	#120	—	26	1	no	—
1349	#120	—	26	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	#120	—	26	1	no	—
1353	#120	—	26	1	no	—
1354	#120	—	26	1	no	—
1355	#120	—	26	1	no	—
1356	#120	—	26	1	no	—
1357	#120	—	26	1	no	—
1358	#120	—	26	1	no	—
1359	C₄×Q₈	—	26	1	no	—
1360	C₄×D₄	—	2	1	no	—
1361	C₄×D₄	—	2	1	no	—
1362	C₄×D₄	—	26	1	no	—
1363	C₄×D₄	—	26	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	—	26	1	no	—
1367	C₄×D₄	—	26	1	no	—
1368	C₄×D₄	—	26	1	no	—
1369	C₄×D₄	—	26	1	no	—
1370	C₄×D₄	—	26	1	no	—
1371	C₄×D₄	—	26	1	no	—
1372	C₄×D₄	—	26	1	no	—
1373	C₄×D₄	—	26	1	no	—
1374	C₄×D₄	—	26	1	no	—
1375	C₄×D₄	—	26	1	no	—
1376	C₄×D₄	—	26	1	no	—
1377	#117	—	13	1	no	—
1378	#117	—	13	1	no	—
1379	#117	—	13	1	no	—
1380	#117	—	13	1	no	—
1381	#117	—	13	1	no	—
1382	#117	—	13	1	no	—
1383	#117	—	26	1	no	—
1384	#117	—	26	1	no	—
1385	#117	C₂²×D₁₃	1	1	yes	characteristic
1386	C₂×C₄⋊C₄	—	13	1	no	—
1387	C₂×C₄⋊C₄	—	13	1	no	—
1388	C₂×C₄⋊C₄	—	13	1	no	—
1389	C₂×C₄⋊C₄	—	13	1	no	—
1390	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1391	C₂×C₂²⋊C₄	—	2	1	no	—
1392	C₂×C₂²⋊C₄	—	26	1	no	—
1393	C₂×C₂²⋊C₄	—	26	1	no	—
1394	C₂×C₂²⋊C₄	—	26	1	no	—
1395	C₂×C₄²	—	26	1	no	—
1396	#107	—	13	1	no	—
1397	#107	—	13	1	no	—
1398	#107	—	13	1	no	—
1399	#107	—	13	1	no	—
1400	#107	—	13	1	no	—
1401	#107	—	13	1	no	—
1402	#107	C₂²×D₁₃	1	1	yes	characteristic
1403	#107	C₂²×D₁₃	1	1	yes	characteristic
1404	#106	—	13	1	no	—
1405	#106	—	13	1	no	—
1406	#106	—	13	1	no	—
1407	#106	—	13	1	no	—
1408	#106	—	13	1	no	—
1409	#106	—	13	1	no	—
1410	#106	C₂²×D₁₃	1	1	yes	characteristic
1411	#106	C₂²×D₁₃	1	1	yes	characteristic
1412	#103	—	13	1	no	—
1413	#103	—	13	1	no	—
1414	#103	—	13	1	no	—
1415	#103	—	13	1	no	—
1416	#103	—	13	1	no	—
1417	#103	—	13	1	no	—
1418	#103	—	13	1	no	—
1419	#103	—	13	1	no	—
1420	#103	—	13	1	no	—
1421	#103	—	13	1	no	—
1422	#103	C₂²×D₁₃	1	1	yes	characteristic
1423	#103	C₂²×D₁₃	1	1	yes	characteristic
1424	#102	—	13	1	no	—
1425	#102	—	13	1	no	—
1426	#102	—	13	1	no	—
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	—	13	1	no	—
1431	#102	—	13	1	no	—
1432	#102	—	13	1	no	—
1433	#102	—	13	1	no	—
1434	#102	—	13	1	no	—
1435	#102	—	13	1	no	—
1436	#102	—	13	1	no	—
1437	#102	—	13	1	no	—
1438	#102	C₂²×D₁₃	1	1	yes	characteristic
1439	#102	C₂²×D₁₃	1	1	yes	characteristic
1440	#102	C₂²×D₁₃	1	1	yes	characteristic
1441	#102	C₂²×D₁₃	1	1	yes	characteristic
1442	#102	C₂²×D₁₃	1	1	yes	characteristic
1443	#102	C₂²×D₁₃	1	1	yes	characteristic
1444	C₂²⋊C₈	—	13	1	no	—
1445	C₂²⋊C₈	—	13	1	no	—
1446	C₂²⋊C₈	—	13	1	no	—
1447	C₂²⋊C₈	—	13	1	no	—
1448	C₂²⋊C₈	—	13	1	no	—
1449	C₂²⋊C₈	—	13	1	no	—
1450	C₂²⋊C₈	—	13	1	no	—
1451	C₂²⋊C₈	—	13	1	no	—
1452	C₂²⋊C₈	—	13	1	no	—
1453	C₂²⋊C₈	—	13	1	no	—
1454	C₂²⋊C₈	—	13	1	no	—
1455	C₂²⋊C₈	—	13	1	no	—
1456	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1457	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1458	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1459	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1460	C₂×C₁₃	—	4	1	no	—
1461	C₂×C₁₃	—	4	1	no	—
1462	C₂×C₁₃	—	4	1	no	—
1463	C₂×C₁₃	—	8	1	no	—
1464	C₂×C₁₃	—	8	1	no	—
1465	C₂×C₁₃	—	8	1	no	—
1466	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1467	C₂×C₁₃	#3584	1	1	yes	characteristic
1468	C₂×C₁₃	#3585	1	1	yes	characteristic
1469	D₁₃	—	2	2	no	—
1470	D₁₃	—	4	1	no	—
1471	D₁₃	—	4	1	no	—
1472	D₁₃	—	4	1	no	—
1473	D₁₃	—	8	1	no	—
1474	D₁₃	—	8	1	no	—
1475	C₂⁴	—	2	1	no	—
1476	C₂⁴	—	13	1	no	—
1477	C₂⁴	—	13	1	no	—
1478	C₂⁴	—	26	1	no	—
1479	C₂⁴	—	26	1	no	—
1480	C₂⁴	—	26	1	no	—
1481	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1482	#41	—	4	1	no	—
1483	#41	—	4	1	no	—
1484	#41	—	26	2	no	—
1485	#41	—	26	2	no	—
1486	#41	—	26	2	no	—
1487	#41	—	26	2	no	—
1488	#41	—	26	2	no	—
1489	#41	—	26	2	no	—
1490	#41	—	52	1	no	—
1491	#41	—	52	1	no	—
1492	#41	—	52	1	no	—
1493	#41	—	52	1	no	—
1494	#41	—	52	1	no	—
1495	#41	—	52	1	no	—
1496	#41	—	52	1	no	—
1497	#41	—	52	1	no	—
1498	#41	—	52	2	no	—
1499	#41	—	52	2	no	—
1500	#41	—	52	2	no	—
1501	#41	—	52	2	no	—
1502	#41	—	52	4	no	—
1503	#41	—	52	1	no	—
1504	#41	—	52	1	no	—
1505	#41	—	52	1	no	—
1506	#41	—	52	1	no	—
1507	#41	—	52	4	no	—
1508	#41	—	52	1	no	—
1509	#41	—	52	1	no	—
1510	#41	—	52	4	no	—
1511	C₂×Q₈	—	13	1	no	—
1512	C₂×Q₈	—	13	1	no	—
1513	C₂×Q₈	—	13	1	no	—
1514	C₂×Q₈	—	13	1	no	—
1515	C₂×Q₈	—	13	1	no	—
1516	C₂×Q₈	—	13	1	no	—
1517	C₂×Q₈	—	26	1	no	—
1518	C₂×Q₈	—	26	2	no	—
1519	C₂×Q₈	—	26	2	no	—
1520	C₂×Q₈	—	52	2	no	—
1521	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	4	1	no	—
1531	C₂×D₄	—	4	1	no	—
1532	C₂×D₄	—	8	2	no	—
1533	C₂×D₄	—	13	1	no	—
1534	C₂×D₄	—	13	1	no	—
1535	C₂×D₄	—	13	1	no	—
1536	C₂×D₄	—	13	1	no	—
1537	C₂×D₄	—	13	1	no	—
1538	C₂×D₄	—	13	1	no	—
1539	C₂×D₄	—	13	1	no	—
1540	C₂×D₄	—	13	1	no	—
1541	C₂×D₄	—	13	1	no	—
1542	C₂×D₄	—	13	1	no	—
1543	C₂×D₄	—	13	1	no	—
1544	C₂×D₄	—	13	1	no	—
1545	C₂×D₄	—	13	1	no	—
1546	C₂×D₄	—	13	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	26	1	no	—
1552	C₂×D₄	—	26	2	no	—
1553	C₂×D₄	—	26	2	no	—
1554	C₂×D₄	—	26	2	no	—
1555	C₂×D₄	—	26	2	no	—
1556	C₂×D₄	—	26	1	no	—
1557	C₂×D₄	—	26	1	no	—
1558	C₂×D₄	—	26	1	no	—
1559	C₂×D₄	—	26	1	no	—
1560	C₂×D₄	—	26	1	no	—
1561	C₂×D₄	—	26	1	no	—
1562	C₂×D₄	—	26	1	no	—
1563	C₂×D₄	—	26	1	no	—
1564	C₂×D₄	—	26	1	no	—
1565	C₂×D₄	—	26	1	no	—
1566	C₂×D₄	—	26	1	no	—
1567	C₂×D₄	—	26	1	no	—
1568	C₂×D₄	—	26	1	no	—
1569	C₂×D₄	—	26	1	no	—
1570	C₂×D₄	—	26	1	no	—
1571	C₂×D₄	—	26	1	no	—
1572	C₂×D₄	—	26	1	no	—
1573	C₂×D₄	—	26	1	no	—
1574	C₂×D₄	—	52	2	no	—
1575	C₂×D₄	—	52	1	no	—
1576	C₂×D₄	—	52	1	no	—
1577	C₂×D₄	—	52	2	no	—
1578	C₂×D₄	—	52	4	no	—
1579	C₂×D₄	—	52	4	no	—
1580	C₂×D₄	—	52	2	no	—
1581	C₂×D₄	—	52	4	no	—
1582	C₂×D₄	—	52	4	no	—
1583	C₂×D₄	—	104	2	no	—
1584	C₂×D₄	—	104	2	no	—
1585	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1586	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	2	1	no	—
1590	C₂²×C₄	—	4	1	no	—
1591	C₂²×C₄	—	4	1	no	—
1592	C₂²×C₄	—	13	1	no	—
1593	C₂²×C₄	—	13	1	no	—
1594	C₂²×C₄	—	13	1	no	—
1595	C₂²×C₄	—	13	1	no	—
1596	C₂²×C₄	—	13	1	no	—
1597	C₂²×C₄	—	13	1	no	—
1598	C₂²×C₄	—	13	1	no	—
1599	C₂²×C₄	—	13	1	no	—
1600	C₂²×C₄	—	13	1	no	—
1601	C₂²×C₄	—	13	1	no	—
1602	C₂²×C₄	—	26	2	no	—
1603	C₂²×C₄	—	26	2	no	—
1604	C₂²×C₄	—	26	1	no	—
1605	C₂²×C₄	—	26	1	no	—
1606	C₂²×C₄	—	26	1	no	—
1607	C₂²×C₄	—	26	1	no	—
1608	C₂²×C₄	—	26	1	no	—
1609	C₂²×C₄	—	26	1	no	—
1610	C₂²×C₄	—	26	1	no	—
1611	C₂²×C₄	—	26	1	no	—
1612	C₂²×C₄	—	26	1	no	—
1613	C₂²×C₄	—	26	1	no	—
1614	C₂²×C₄	—	26	1	no	—
1615	C₂²×C₄	—	52	1	no	—
1616	C₂²×C₄	—	52	1	no	—
1617	C₂²×C₄	—	52	4	no	—
1618	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1619	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1620	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1621	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1622	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1623	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1624	Q₁₆	—	52	1	no	—
1625	Q₁₆	—	52	1	no	—
1626	SD₁₆	—	4	1	no	—
1627	SD₁₆	—	4	1	no	—
1628	SD₁₆	—	52	1	no	—
1629	SD₁₆	—	52	1	no	—
1630	SD₁₆	—	52	1	no	—
1631	SD₁₆	—	52	1	no	—
1632	SD₁₆	—	52	1	no	—
1633	SD₁₆	—	52	1	no	—
1634	D₈	—	4	1	no	—
1635	D₈	—	4	1	no	—
1636	D₈	—	52	1	no	—
1637	D₈	—	52	1	no	—
1638	D₈	—	52	1	no	—
1639	D₈	—	52	1	no	—
1640	M₁₆	—	26	2	no	—
1641	M₁₆	—	26	2	no	—
1642	M₁₆	—	52	1	no	—
1643	M₁₆	—	52	1	no	—
1644	M₁₆	—	52	1	no	—
1645	M₁₆	—	52	1	no	—
1646	C₂×C₈	—	4	1	no	—
1647	C₂×C₈	—	4	1	no	—
1648	C₂×C₈	—	13	1	no	—
1649	C₂×C₈	—	13	1	no	—
1650	C₂×C₈	—	13	1	no	—
1651	C₂×C₈	—	13	1	no	—
1652	C₂×C₈	—	26	2	no	—
1653	C₂×C₈	—	26	2	no	—
1654	C₂×C₈	—	52	1	no	—
1655	C₂×C₈	—	52	1	no	—
1656	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1657	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1658	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1659	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1660	C₄⋊C₄	—	2	1	no	—
1661	C₄⋊C₄	—	2	1	no	—
1662	C₄⋊C₄	—	2	1	no	—
1663	C₄⋊C₄	—	13	1	no	—
1664	C₄⋊C₄	—	13	1	no	—
1665	C₄⋊C₄	—	13	1	no	—
1666	C₄⋊C₄	—	13	1	no	—
1667	C₄⋊C₄	—	26	1	no	—
1668	C₄⋊C₄	—	26	1	no	—
1669	C₄⋊C₄	—	26	1	no	—
1670	C₄⋊C₄	—	26	1	no	—
1671	C₄⋊C₄	—	26	1	no	—
1672	C₄⋊C₄	—	26	1	no	—
1673	C₄⋊C₄	—	26	1	no	—
1674	C₄⋊C₄	—	26	1	no	—
1675	C₄⋊C₄	—	26	1	no	—
1676	C₄⋊C₄	—	26	1	no	—
1677	C₄⋊C₄	—	26	1	no	—
1678	C₄⋊C₄	—	26	1	no	—
1679	C₄⋊C₄	—	26	1	no	—
1680	C₄⋊C₄	—	26	1	no	—
1681	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1682	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1683	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1684	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₂²⋊C₄	—	26	1	no	—
1708	C₂²⋊C₄	—	26	1	no	—
1709	C₂²⋊C₄	—	26	1	no	—
1710	C₂²⋊C₄	—	26	1	no	—
1711	C₂²⋊C₄	—	26	1	no	—
1712	C₂²⋊C₄	—	26	1	no	—
1713	C₂²⋊C₄	—	26	1	no	—
1714	C₂²⋊C₄	—	26	1	no	—
1715	C₂²⋊C₄	—	26	1	no	—
1716	C₂²⋊C₄	—	26	1	no	—
1717	C₂²⋊C₄	—	26	1	no	—
1718	C₂²⋊C₄	—	26	1	no	—
1719	C₂²⋊C₄	—	26	1	no	—
1720	C₂²⋊C₄	—	26	1	no	—
1721	C₂²⋊C₄	—	26	1	no	—
1722	C₂²⋊C₄	—	26	1	no	—
1723	C₂²⋊C₄	—	26	1	no	—
1724	C₄²	—	2	1	no	—
1725	C₄²	—	26	1	no	—
1726	C₄²	—	26	1	no	—
1727	C₄²	—	26	1	no	—
1728	C₄²	—	26	1	no	—
1729	C₄²	—	26	1	no	—
1730	C₄²	—	26	1	no	—
1731	C₁₃	#60760	1	1	yes	characteristic, complemented, Sylow
1732	C₂³	—	2	1	no	—
1733	C₂³	—	2	1	no	—
1734	C₂³	—	2	1	no	—
1735	C₂³	—	4	1	no	—
1736	C₂³	—	4	1	no	—
1737	C₂³	—	4	1	no	—
1738	C₂³	—	4	2	no	—
1739	C₂³	—	8	1	no	—
1740	C₂³	—	8	1	no	—
1741	C₂³	—	13	1	no	—
1742	C₂³	—	13	1	no	—
1743	C₂³	—	13	1	no	—
1744	C₂³	—	13	1	no	—
1745	C₂³	—	26	2	no	—
1746	C₂³	—	26	1	no	—
1747	C₂³	—	26	1	no	—
1748	C₂³	—	52	1	no	—
1749	C₂³	—	52	1	no	—
1750	C₂³	—	52	1	no	—
1751	C₂³	—	52	1	no	—
1752	C₂³	—	52	1	no	—
1753	C₂³	—	52	2	no	—
1754	C₂³	—	52	2	no	—
1755	C₂³	—	52	2	no	—
1756	C₂³	—	104	1	no	—
1757	C₂³	—	104	1	no	—
1758	C₂³	—	104	1	no	—
1759	C₂³	—	104	1	no	—
1760	C₂³	—	104	1	no	—
1761	C₂³	—	104	1	no	—
1762	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1763	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1764	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1765	Q₈	—	2	1	no	—
1766	Q₈	—	2	1	no	—
1767	Q₈	—	26	2	no	—
1768	Q₈	—	26	2	no	—
1769	Q₈	—	26	1	no	—
1770	Q₈	—	26	1	no	—
1771	Q₈	—	26	1	no	—
1772	Q₈	—	26	1	no	—
1773	Q₈	—	52	1	no	—
1774	Q₈	—	52	1	no	—
1775	Q₈	—	52	2	no	—
1776	D₄	—	2	1	no	—
1777	D₄	—	2	1	no	—
1778	D₄	—	2	1	no	—
1779	D₄	—	2	1	no	—
1780	D₄	—	2	1	no	—
1781	D₄	—	2	1	no	—
1782	D₄	—	4	2	no	—
1783	D₄	—	4	2	no	—
1784	D₄	—	4	2	no	—
1785	D₄	—	4	2	no	—
1786	D₄	—	8	1	no	—
1787	D₄	—	8	1	no	—
1788	D₄	—	8	1	no	—
1789	D₄	—	8	1	no	—
1790	D₄	—	26	2	no	—
1791	D₄	—	26	2	no	—
1792	D₄	—	26	2	no	—
1793	D₄	—	26	2	no	—
1794	D₄	—	26	2	no	—
1795	D₄	—	26	2	no	—
1796	D₄	—	26	1	no	—
1797	D₄	—	26	1	no	—
1798	D₄	—	26	1	no	—
1799	D₄	—	26	1	no	—
1800	D₄	—	52	1	no	—
1801	D₄	—	52	1	no	—
1802	D₄	—	52	2	no	—
1803	D₄	—	52	2	no	—
1804	D₄	—	52	2	no	—
1805	D₄	—	52	1	no	—
1806	D₄	—	52	1	no	—
1807	D₄	—	52	1	no	—
1808	D₄	—	52	1	no	—
1809	D₄	—	52	2	no	—
1810	D₄	—	52	2	no	—
1811	D₄	—	52	2	no	—
1812	D₄	—	52	2	no	—
1813	D₄	—	52	2	no	—
1814	D₄	—	52	2	no	—
1815	D₄	—	52	2	no	—
1816	D₄	—	104	1	no	—
1817	D₄	—	104	1	no	—
1818	D₄	—	104	1	no	—
1819	D₄	—	104	1	no	—
1820	D₄	—	104	1	no	—
1821	D₄	—	104	1	no	—
1822	D₄	—	104	1	no	—
1823	D₄	—	104	1	no	—
1824	D₄	—	104	1	no	—
1825	D₄	—	104	1	no	—
1826	D₄	—	104	1	no	—
1827	D₄	—	104	1	no	—
1828	D₄	—	104	1	no	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	2	1	no	—
1839	C₂×C₄	—	2	1	no	—
1840	C₂×C₄	—	4	1	no	—
1841	C₂×C₄	—	4	1	no	—
1842	C₂×C₄	—	4	1	no	—
1843	C₂×C₄	—	4	2	no	—
1844	C₂×C₄	—	8	1	no	—
1845	C₂×C₄	—	13	1	no	—
1846	C₂×C₄	—	13	2	no	—
1847	C₂×C₄	—	13	2	no	—
1848	C₂×C₄	—	13	1	no	—
1849	C₂×C₄	—	13	1	no	—
1850	C₂×C₄	—	13	1	no	—
1851	C₂×C₄	—	26	2	no	—
1852	C₂×C₄	—	26	2	no	—
1853	C₂×C₄	—	26	2	no	—
1854	C₂×C₄	—	26	1	no	—
1855	C₂×C₄	—	26	1	no	—
1856	C₂×C₄	—	26	1	no	—
1857	C₂×C₄	—	26	1	no	—
1858	C₂×C₄	—	26	1	no	—
1859	C₂×C₄	—	26	1	no	—
1860	C₂×C₄	—	26	1	no	—
1861	C₂×C₄	—	26	1	no	—
1862	C₂×C₄	—	26	1	no	—
1863	C₂×C₄	—	26	1	no	—
1864	C₂×C₄	—	26	1	no	—
1865	C₂×C₄	—	26	1	no	—
1866	C₂×C₄	—	52	1	no	—
1867	C₂×C₄	—	52	1	no	—
1868	C₂×C₄	—	52	2	no	—
1869	C₂×C₄	—	52	2	no	—
1870	C₂×C₄	—	52	2	no	—
1871	C₂×C₄	—	52	2	no	—
1872	C₂×C₄	—	52	2	no	—
1873	C₂×C₄	—	52	1	no	—
1874	C₂×C₄	—	52	2	no	—
1875	C₂×C₄	—	52	2	no	—
1876	C₂×C₄	—	104	1	no	—
1877	C₂×C₄	—	104	1	no	—
1878	C₂×C₄	—	104	1	no	—
1879	C₂×C₄	—	104	1	no	—
1880	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1881	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1882	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1883	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1884	C₈	—	2	1	no	—
1885	C₈	—	2	1	no	—
1886	C₈	—	2	1	no	—
1887	C₈	—	2	1	no	—
1888	C₈	—	26	1	no	—
1889	C₈	—	26	1	no	—
1890	C₈	—	26	1	no	—
1891	C₈	—	26	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	2	1	no	—
1894	C₂²	—	2	1	no	—
1895	C₂²	—	2	1	no	—
1896	C₂²	—	2	1	no	—
1897	C₂²	—	2	1	no	—
1898	C₂²	—	2	1	no	—
1899	C₂²	—	2	1	no	—
1900	C₂²	—	2	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	4	1	no	—
1908	C₂²	—	4	1	no	—
1909	C₂²	—	4	1	no	—
1910	C₂²	—	8	2	no	—
1911	C₂²	—	13	2	no	—
1912	C₂²	—	16	2	no	—
1913	C₂²	—	26	1	no	—
1914	C₂²	—	26	1	no	—
1915	C₂²	—	26	1	no	—
1916	C₂²	—	26	1	no	—
1917	C₂²	—	26	1	no	—
1918	C₂²	—	26	1	no	—
1919	C₂²	—	26	1	no	—
1920	C₂²	—	26	1	no	—
1921	C₂²	—	26	1	no	—
1922	C₂²	—	26	1	no	—
1923	C₂²	—	26	1	no	—
1924	C₂²	—	52	1	no	—
1925	C₂²	—	52	1	no	—
1926	C₂²	—	52	1	no	—
1927	C₂²	—	52	1	no	—
1928	C₂²	—	52	1	no	—
1929	C₂²	—	52	1	no	—
1930	C₂²	—	104	2	no	—
1931	C₂²	—	104	2	no	—
1932	C₂²	—	104	4	no	—
1933	C₂²	—	208	2	no	—
1934	C₂²	—	208	2	no	—
1935	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1936	C₄	—	2	1	no	—
1937	C₄	—	2	1	no	—
1938	C₄	—	2	1	no	—
1939	C₄	—	4	1	no	—
1940	C₄	—	4	1	no	—
1941	C₄	—	4	1	no	—
1942	C₄	—	4	1	no	—
1943	C₄	—	4	1	no	—
1944	C₄	—	13	2	no	—
1945	C₄	—	26	1	no	—
1946	C₄	—	26	1	no	—
1947	C₄	—	26	1	no	—
1948	C₄	—	52	1	no	—
1949	C₄	—	52	1	no	—
1950	C₄	—	52	1	no	—
1951	C₄	—	52	1	no	—
1952	C₄	—	52	1	no	—
1953	C₄	—	52	1	no	—
1954	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1955	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1956	C₂	—	4	1	no	—
1957	C₂	—	4	1	no	—
1958	C₂	—	4	1	no	—
1959	C₂	—	8	1	no	—
1960	C₂	—	8	1	no	—
1961	C₂	—	8	1	no	—
1962	C₂	—	26	2	no	—
1963	C₂	—	52	1	no	—
1964	C₂	—	52	1	no	—
1965	C₂	—	52	1	no	—
1966	C₂	—	104	1	no	—
1967	C₂	—	104	1	no	—
1968	C₂	D₁₃×#534	1	1	yes	characteristic
1969	C₂	#13129605	1	1	yes	characteristic
1970	C₂	#13129612	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×#3188	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3188	D₁₃
hypocenter	C₁₃	#60760
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3188

Complements

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

N	H ≅ G/N	type
1. #13128501	C₂	semidirect
2. #13128166	C₂	semidirect
3. #13125749	C₂	semidirect
4. #13125741	C₂	semidirect
5. #13125740	C₂	semidirect
6. #13125732	C₂	semidirect
7. #13125692	C₂	semidirect
8. #13125691	C₂	semidirect
9. #13125684	C₂	semidirect
10. #13125681	C₂	semidirect
11. #13125676	C₂	semidirect
12. #13125673	C₂	semidirect
13. #13125650	C₂	semidirect
14. #13125648	C₂	semidirect
15. #13125629	C₂	semidirect
16. #13125626	C₂	semidirect
17. #13125605	C₂	semidirect
18. #13124804	C₂	semidirect
19. #13124793	C₂	semidirect
20. #13124775	C₂	semidirect
21. #13124748	C₂	semidirect
22. #13124520	C₂	semidirect
23. #13124515	C₂	semidirect
24. #13124479	C₂	semidirect
25. #13124470	C₂	semidirect
26. #13124108	C₂	semidirect
27. #13124099	C₂	semidirect
28. #13124074	C₂	semidirect
29. D₁₃×#449	C₂	semidirect
30. #13123282	C₂	semidirect
31. C₁₃×#3188	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
35. C₁₃×#525	C₂²	semidirect
36. C₂×C₁₃×#121	C₂²	semidirect
37. #11719533	C₂²	semidirect
38. #11719510	C₂²	semidirect
41. #11719496	C₂²	semidirect
42. #11719496	C₂²	semidirect
43. C₂×#88169	C₂²	semidirect
44. C₂×SD₁₆×D₁₃	C₂²	semidirect
45. C₂×#88165	C₂²	semidirect
46. C₂×D₈×D₁₃	C₂²	semidirect
47. C₂×#88155	C₂²	semidirect
48. C₂×#88155	C₂²	semidirect
51. #11719334	C₂²	semidirect
52. #11719334	C₂²	semidirect
54. #11719333	C₂²	semidirect
58. #11719313	C₂²	semidirect
59. #11719313	C₂²	semidirect
60. #11719313	C₂²	semidirect
63. #11719312	C₂²	semidirect
64. #11719312	C₂²	semidirect
66. #11719311	C₂²	semidirect
68. D₁₃×#121	C₂²	semidirect
77. #11719229	C₂²	semidirect
78. D₁₃×#117	C₂²	semidirect
79. #11719215	C₂²	semidirect
83. C₁₃×#484	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#482	C₂²	semidirect
86. C₁₃×#481	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#466	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#447	C₂²	semidirect
95. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718879	C₂²	semidirect
99. #11718878	C₂²	semidirect
100. #11718868	C₂²	semidirect
101. #11718835	C₂²	semidirect
102. #11718834	C₂²	semidirect
103. #11718833	C₂²	semidirect
104. #11718833	C₂²	semidirect
105. #11718832	C₂²	semidirect
106. #11718830	C₂²	semidirect
107. #11718820	C₂²	semidirect
108. #11718819	C₂²	semidirect
109. #11718819	C₂²	semidirect
110. #11718819	C₂²	semidirect
111. #11718818	C₂²	semidirect
112. #11718817	C₂²	semidirect
113. #11718777	C₂²	semidirect
114. #11718776	C₂²	semidirect
115. #11718775	C₂²	semidirect
116. #11718775	C₂²	semidirect
117. #11718771	C₂²	semidirect
118. #11718771	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718710	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718706	C₂²	semidirect
123. #11718703	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718703	C₂²	semidirect
126. #11718700	C₂²	semidirect
127. #11718700	C₂²	semidirect
128. #11718700	C₂²	semidirect
129. #11718698	C₂²	semidirect
130. #11718698	C₂²	semidirect
131. #11718698	C₂²	semidirect
132. #11718696	C₂²	semidirect
133. #11718696	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718664	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718632	C₂²	semidirect
138. #11718628	C₂²	semidirect
139. #11718549	C₂²	semidirect
140. #11718547	C₂²	semidirect
141. #11718545	C₂²	semidirect
142. #11718545	C₂²	semidirect
143. #11718544	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. #11718541	C₂²	semidirect
147. #11718529	C₂²	semidirect
148. #11718527	C₂²	semidirect
149. #11718525	C₂²	semidirect
150. #11718524	C₂²	semidirect
151. #11718524	C₂²	semidirect
152. #11718523	C₂²	semidirect
153. #11718522	C₂²	semidirect
154. #11718521	C₂²	semidirect
155. #11718475	C₂²	semidirect
156. #11718474	C₂²	semidirect
157. #11718473	C₂²	semidirect
158. #11718472	C₂²	semidirect
159. #11718471	C₂²	semidirect
160. #11718466	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. D₁₃×#103	C₂²	semidirect
163. #11718444	C₂²	semidirect
164. #11718444	C₂²	semidirect
165. #11718443	C₂²	semidirect
166. #11718443	C₂²	semidirect
167. #11718442	C₂²	semidirect
168. #11718442	C₂²	semidirect
169. #11718441	C₂²	semidirect
170. #11718440	C₂²	semidirect
171. #11718439	C₂²	semidirect
172. #11718439	C₂²	semidirect
173. #11718438	C₂²	semidirect
174. #11718438	C₂²	semidirect
175. #11718437	C₂²	semidirect
176. #11718436	C₂²	semidirect
177. #11718435	C₂²	semidirect
178. #11718435	C₂²	semidirect
179. #11718435	C₂²	semidirect
180. #11718434	C₂²	semidirect
181. #11718433	C₂²	semidirect
182. #11718433	C₂²	semidirect
183. #11718431	C₂²	semidirect
184. #11718431	C₂²	semidirect
185. #11718431	C₂²	semidirect
186. D₁₃×#102	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
189. #11718395	C₂²	semidirect
190. #11718395	C₂²	semidirect
191. #11718394	C₂²	semidirect
192. #11718394	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718388	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. #11718387	C₂²	semidirect
199. D₁₃×C₂²⋊C₈	C₂²	semidirect
200. D₁₃×C₂²⋊C₈	C₂²	semidirect
201. #11718384	C₂²	semidirect
202. #11718384	C₂²	semidirect
764. #3188	D₁₃	semidirect
983. #525	C₂×D₁₃	semidirect
986. C₂×#121	C₂×D₁₃	semidirect
997. #484	C₂×D₁₃	semidirect
1009. #482	C₂×D₁₃	semidirect
1010. #482	C₂×D₁₃	semidirect
1015. #481	C₂×D₁₃	semidirect
1043. #466	C₂×D₁₃	semidirect
1044. #466	C₂×D₁₃	semidirect
1051. #465	C₂×D₁₃	semidirect
1052. #465	C₂×D₁₃	semidirect
1064. #450	C₂×D₁₃	semidirect
1079. #449	C₂×D₁₃	semidirect
1080. #449	C₂×D₁₃	semidirect
1084. #447	C₂×D₁₃	semidirect
1108. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
1731. C₁₃	#60760	semidirect

Maximal subgroups

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

subgroup	index
#13128501	2
#13128166	2
#13125749	2
#13125741	2
#13125740	2
#13125732	2
#13125692	2
#13125691	2
#13125684	2
#13125681	2
#13125676	2
#13125673	2
#13125650	2
#13125648	2
#13125629	2
#13125626	2
#13125605	2
#13124804	2
#13124793	2
#13124775	2
#13124748	2
#13124520	2
#13124515	2
#13124479	2
#13124470	2
#13124108	2
#13124099	2
#13124074	2
D₁₃×#449	2
#13123282	2
C₁₃×#3188	2
#60760	13