Subgroups — #16733754

Order 3328.

2310 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128511	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125709	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125708	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125707	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125705	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125686	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125684	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125682	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125648	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125645	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125644	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125637	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125599	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125596	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125595	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125588	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124793	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124787	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124783	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124515	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124513	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124473	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124470	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124119	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124119	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124060	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123284	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#535	C₂²	1	1	yes	characteristic
37	#11719535	C₂²	1	1	yes	characteristic
38	#11719533	C₂²	1	1	yes	characteristic, complemented
39	#11719530	C₂²	1	1	yes	characteristic, complemented
40	#11719510	C₂²	1	1	yes	characteristic
41	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
47	#11719420	—	2	1	no	—
48	D₁₃×#127	—	2	1	no	—
49	#11719379	—	2	1	no	—
50	D₁₃×#124	—	2	1	no	—
51	#11719337	—	2	1	no	—
52	#11719336	—	2	1	no	—
53	#11719333	C₂²	1	1	yes	characteristic, complemented
54	#11719333	C₂²	1	1	yes	characteristic, complemented
55	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	#11719317	—	2	1	no	—
58	#11719316	—	2	1	no	—
59	#11719316	—	2	1	no	—
60	#11719315	—	2	1	no	—
61	#11719315	—	2	1	no	—
62	#11719313	C₂²	1	1	yes	characteristic, complemented
63	#11719313	C₂²	1	1	yes	characteristic, complemented
64	#11719312	C₂²	1	1	yes	characteristic
65	#11719312	C₂²	1	1	yes	characteristic
66	#11719312	C₂²	1	1	yes	characteristic
67	#11719312	C₂²	1	1	yes	characteristic
68	#11719311	C₂²	1	1	yes	characteristic
69	#11719311	C₂²	1	1	yes	characteristic, complemented
70	D₁₃×#121	C₂²	1	1	yes	characteristic
71	D₁₃×#121	C₂²	1	1	yes	characteristic
72	D₁₃×#121	C₂²	1	1	yes	characteristic
73	D₁₃×#121	C₂²	1	1	yes	characteristic
74	#11719303	—	2	1	no	—
75	#11719297	—	2	1	no	—
76	#11719297	—	2	1	no	—
77	D₁₃×#120	—	2	1	no	—
78	D₁₃×#120	—	2	1	no	—
79	#11719230	C₂²	1	1	yes	characteristic
80	D₁₃×#117	C₂²	1	1	yes	characteristic
81	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
82	#11719209	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#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	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718895	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic, complemented
101	#11718835	C₂²	1	1	yes	characteristic, complemented
102	#11718832	C₂²	1	1	yes	characteristic, complemented
103	#11718831	C₂²	1	1	yes	characteristic, complemented
104	#11718831	C₂²	1	1	yes	characteristic, complemented
105	#11718830	C₂²	1	1	yes	characteristic
106	#11718830	C₂²	1	1	yes	characteristic
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	#11718818	C₂²	1	1	yes	characteristic, complemented
111	#11718817	C₂²	1	1	yes	characteristic
112	#11718817	C₂²	1	1	yes	characteristic
113	#11718795	C₂²	1	1	yes	characteristic, complemented
114	#11718795	C₂²	1	1	yes	characteristic, complemented
115	#11718787	C₂²	1	1	yes	characteristic, complemented
116	#11718775	C₂²	1	1	yes	characteristic, complemented
117	#11718775	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718707	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	#11718702	C₂²	1	1	yes	characteristic, complemented
126	#11718702	C₂²	1	1	yes	characteristic, complemented
127	#11718701	C₂²	1	1	yes	characteristic, complemented
128	#11718701	C₂²	1	1	yes	characteristic, complemented
129	#11718700	C₂²	1	1	yes	characteristic, complemented
130	#11718699	C₂²	1	1	yes	characteristic, complemented
131	#11718697	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	#11718657	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718629	C₂²	1	1	yes	characteristic, complemented
138	#11718628	C₂²	1	1	yes	characteristic, complemented
139	#11718547	C₂²	1	1	yes	characteristic, complemented
140	#11718547	C₂²	1	1	yes	characteristic, complemented
141	#11718546	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718545	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	#11718527	C₂²	1	1	yes	characteristic, complemented
148	#11718525	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718524	C₂²	1	1	yes	characteristic, complemented
151	#11718523	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	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718470	C₂²	1	1	yes	characteristic, complemented
157	#11718468	C₂²	1	1	yes	characteristic, complemented
158	#11718467	C₂²	1	1	yes	characteristic, complemented
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	#11718466	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	#11718463	C₂²	1	1	yes	characteristic, complemented
163	#11718445	C₂²	1	1	yes	characteristic, complemented
164	#11718443	C₂²	1	1	yes	characteristic, complemented
165	#11718442	C₂²	1	1	yes	characteristic, complemented
166	#11718442	C₂²	1	1	yes	characteristic, complemented
167	#11718441	C₂²	1	1	yes	characteristic, complemented
168	#11718441	C₂²	1	1	yes	characteristic, complemented
169	#11718440	C₂²	1	1	yes	characteristic, complemented
170	#11718439	C₂²	1	1	yes	characteristic, complemented
171	#11718439	C₂²	1	1	yes	characteristic, complemented
172	#11718438	C₂²	1	1	yes	characteristic, complemented
173	#11718438	C₂²	1	1	yes	characteristic, complemented
174	#11718437	C₂²	1	1	yes	characteristic
175	#11718437	C₂²	1	1	yes	characteristic
176	#11718437	C₂²	1	1	yes	characteristic
177	#11718437	C₂²	1	1	yes	characteristic
178	#11718436	C₂²	1	1	yes	characteristic, complemented
179	#11718435	C₂²	1	1	yes	characteristic, complemented
180	#11718435	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	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
187	#11718399	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718398	C₂²	1	1	yes	characteristic, complemented
190	#11718398	C₂²	1	1	yes	characteristic, complemented
191	#11718392	C₂²	1	1	yes	characteristic, complemented
192	#11718392	C₂²	1	1	yes	characteristic, complemented
193	#11718388	C₂²	1	1	yes	characteristic, complemented
194	#11718388	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic
198	#11718387	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
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	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	#88257	—	4	2	no	—
209	#88257	—	4	2	no	—
210	#41×D₁₃	—	4	2	no	—
211	#41×D₁₃	—	4	2	no	—
212	C₂×#6131	D₄	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	D₄	1	1	yes	characteristic
219	C₂×#6129	D₄	1	1	yes	characteristic
220	C₂×#6129	D₄	1	1	yes	characteristic
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×#6129	C₂³	1	1	yes	characteristic, complemented
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	—	2	1	no	—
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	—	2	1	no	—
229	C₂×D₄×D₁₃	—	4	2	no	—
230	C₂×D₄×D₁₃	—	4	2	no	—
231	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
232	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
233	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
234	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂×#6127	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
246	C₂²×Dic₂₆	—	2	1	no	—
247	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
253	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
254	C₁₃×#127	—	2	1	no	—
255	C₁₃×#124	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	1	no	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	—	2	1	no	—
261	C₁₃×#121	—	2	1	no	—
262	C₁₃×#121	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	1	yes	characteristic
264	C₁₃×#121	C₂³	1	1	yes	characteristic
265	C₁₃×#121	C₂³	1	1	yes	characteristic
266	C₁₃×#121	C₂³	1	1	yes	characteristic
267	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
268	C₁₃×#120	—	2	1	no	—
269	C₁₃×#120	—	2	1	no	—
270	C₁₃×#117	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
272	#88207	—	2	1	no	—
273	#88207	—	2	1	no	—
274	#88201	—	2	1	no	—
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic, complemented
277	#88198	—	2	1	no	—
278	C₂×#6106	C₂³	1	1	yes	characteristic
279	C₂×#6106	C₂³	1	1	yes	characteristic
280	#88194	—	2	1	no	—
281	#88194	—	2	1	no	—
282	#88194	—	2	1	no	—
283	#88194	—	2	1	no	—
284	#88194	—	2	1	no	—
285	#88194	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88192	—	2	1	no	—
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	#88192	C₂³	1	1	yes	characteristic, complemented
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	#88191	—	2	1	no	—
307	#88191	—	2	1	no	—
308	#88191	—	2	1	no	—
309	#88190	—	2	1	no	—
310	#88190	—	2	1	no	—
311	#88189	—	2	1	no	—
312	#88189	—	2	1	no	—
313	#88189	—	2	1	no	—
314	D₄×Dic₁₃	—	2	1	no	—
315	D₄×Dic₁₃	—	2	1	no	—
316	C₂×#6105	C₂³	1	1	yes	characteristic
317	C₂×#6105	C₂³	1	1	yes	characteristic
318	C₂×#6105	C₂³	1	1	yes	characteristic
319	C₂×#6105	C₂³	1	1	yes	characteristic
320	C₂×#6104	C₂³	1	1	yes	characteristic
321	C₂×#6104	C₂³	1	1	yes	characteristic
322	#88184	C₂³	1	1	yes	characteristic
323	#88184	C₂³	1	1	yes	characteristic
324	#88184	C₂³	1	1	yes	characteristic
325	#88184	C₂³	1	1	yes	characteristic
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	C₂×#6103	—	2	1	no	—
331	#88180	C₂³	1	1	yes	characteristic
332	#88180	C₂³	1	1	yes	characteristic, complemented
333	C₂×C₄⋊Dic₁₃	—	2	1	no	—
334	#88178	C₂³	1	1	yes	characteristic
335	#88178	C₂³	1	1	yes	characteristic
336	#88178	C₂³	1	1	yes	characteristic, complemented
337	#88178	C₂³	1	1	yes	characteristic, complemented
338	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
339	C₂²×#1055	C₂³	1	1	yes	characteristic, complemented
340	SD₁₆×D₁₃	—	4	2	no	—
341	SD₁₆×D₁₃	—	4	2	no	—
342	#88165	—	4	2	no	—
343	#88165	—	4	2	no	—
344	#88161	—	4	2	no	—
345	C₂×#6095	C₂³	1	1	yes	characteristic
346	C₂×#6095	C₂³	1	1	yes	characteristic
347	C₂×#6095	C₂³	1	1	yes	characteristic
348	C₂×#6095	C₂³	1	1	yes	characteristic
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, complemented
353	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
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, complemented
357	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
358	#88151	—	2	1	no	—
359	#88151	—	2	1	no	—
360	#88151	C₂³	1	1	yes	characteristic
361	#88151	C₂³	1	1	yes	characteristic
362	#88151	C₂³	1	1	yes	characteristic, complemented
363	#88151	C₂³	1	1	yes	characteristic, complemented
364	#88150	—	2	1	no	—
365	#88150	—	2	1	no	—
366	#88149	C₂³	1	1	yes	characteristic
367	#88149	C₂³	1	1	yes	characteristic
368	#88149	C₂³	1	1	yes	characteristic
369	#88149	C₂³	1	1	yes	characteristic
370	#88148	—	2	1	no	—
371	#88148	—	2	1	no	—
372	#88147	—	2	1	no	—
373	#88146	C₂³	1	1	yes	characteristic
374	#88146	C₂³	1	1	yes	characteristic
375	#88146	C₂³	1	1	yes	characteristic
376	#88146	C₂³	1	1	yes	characteristic, complemented
377	C₄⋊C₄×D₁₃	—	2	1	no	—
378	C₄⋊C₄×D₁₃	—	2	1	no	—
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, complemented
383	#88142	—	2	1	no	—
384	#88142	—	2	1	no	—
385	#88141	—	2	1	no	—
386	#88139	—	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	#88138	—	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	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	—	2	1	no	—
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88136	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	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	#88129	—	2	1	no	—
423	#88128	—	2	1	no	—
424	#88126	—	2	1	no	—
425	C₄²×D₁₃	—	2	1	no	—
426	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
427	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
428	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
429	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
430	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
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, complemented
437	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
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, complemented
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
442	#88075	C₂³	1	1	yes	characteristic, complemented
443	#88075	C₂³	1	1	yes	characteristic, complemented
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, complemented
449	#88072	C₂³	1	1	yes	characteristic, complemented
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
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, complemented
463	#88060	C₂³	1	1	yes	characteristic, complemented
464	#88060	C₂³	1	1	yes	characteristic, complemented
465	#88060	C₂³	1	1	yes	characteristic, complemented
466	#88058	C₂³	1	1	yes	characteristic, complemented
467	#88058	C₂³	1	1	yes	characteristic, complemented
468	#88057	C₂³	1	1	yes	characteristic, complemented
469	#88057	C₂³	1	1	yes	characteristic, complemented
470	#88056	C₂³	1	1	yes	characteristic, complemented
471	#88056	C₂³	1	1	yes	characteristic, complemented
472	#88056	C₂³	1	1	yes	characteristic, complemented
473	#88056	C₂³	1	1	yes	characteristic, complemented
474	#88050	C₂³	1	1	yes	characteristic, complemented
475	#88050	C₂³	1	1	yes	characteristic, complemented
476	#88050	C₂³	1	1	yes	characteristic, complemented
477	#88050	C₂³	1	1	yes	characteristic, complemented
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, complemented
483	#88048	C₂³	1	1	yes	characteristic, complemented
484	#88048	C₂³	1	1	yes	characteristic, complemented
485	#88048	C₂³	1	1	yes	characteristic, complemented
486	#88047	C₂³	1	1	yes	characteristic, complemented
487	#88047	C₂³	1	1	yes	characteristic, complemented
488	#88047	C₂³	1	1	yes	characteristic, complemented
489	#88047	C₂³	1	1	yes	characteristic, complemented
490	#60757	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	4	4	no	—
498	C₂³×D₁₃	—	8	2	no	—
499	C₂³×D₁₃	—	8	2	no	—
500	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	4	1	no	—
518	C₂×D₄×C₁₃	—	4	1	no	—
519	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	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	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
557	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
559	#6131	—	4	2	no	—
560	Q₈×D₁₃	—	2	2	no	—
561	Q₈×D₁₃	—	2	2	no	—
562	Q₈×D₁₃	—	4	2	no	—
563	Q₈×D₁₃	—	4	1	no	—
564	Q₈×D₁₃	—	4	1	no	—
565	#6129	—	2	2	no	—
566	#6129	—	2	2	no	—
567	#6129	—	4	1	no	—
568	#6129	—	4	1	no	—
569	#6129	—	4	2	no	—
570	#6129	—	4	2	no	—
571	#6129	—	4	2	no	—
572	#6129	—	4	4	no	—
573	#6129	—	4	4	no	—
574	D₄×D₁₃	—	2	2	no	—
575	D₄×D₁₃	—	2	2	no	—
576	D₄×D₁₃	—	2	2	no	—
577	D₄×D₁₃	—	2	2	no	—
578	D₄×D₁₃	—	4	1	no	—
579	D₄×D₁₃	—	4	1	no	—
580	D₄×D₁₃	—	4	1	no	—
581	D₄×D₁₃	—	4	1	no	—
582	D₄×D₁₃	—	4	2	no	—
583	D₄×D₁₃	—	4	4	no	—
584	D₄×D₁₃	—	4	4	no	—
585	D₄×D₁₃	—	4	2	no	—
586	D₄×D₁₃	—	4	2	no	—
587	D₄×D₁₃	—	8	2	no	—
588	D₄×D₁₃	—	8	2	no	—
589	D₄×D₁₃	—	8	2	no	—
590	D₄×D₁₃	—	8	2	no	—
591	#6127	—	2	2	no	—
592	#6127	—	2	2	no	—
593	#6127	—	2	2	no	—
594	#6127	—	2	2	no	—
595	#6127	—	4	1	no	—
596	#6127	—	4	1	no	—
597	#6127	—	4	4	no	—
598	C₂×D₅₂	—	2	1	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	—	4	1	no	—
604	C₂×D₅₂	—	4	1	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	C₂⁴	1	1	yes	characteristic
609	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₃	—	2	2	no	—
611	C₂×C₄×D₁₃	—	2	2	no	—
612	C₂×C₄×D₁₃	—	2	1	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	—	4	1	no	—
619	C₂×C₄×D₁₃	—	4	1	no	—
620	C₂×C₄×D₁₃	—	4	1	no	—
621	C₂×C₄×D₁₃	—	4	1	no	—
622	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
623	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
634	C₂×Dic₂₆	—	2	1	no	—
635	C₂×Dic₂₆	—	4	1	no	—
636	C₂×Dic₂₆	—	4	1	no	—
637	C₂×Dic₂₆	—	4	4	no	—
638	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
639	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
640	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
641	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
642	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
643	C₁₃×SD₁₆	—	4	1	no	—
644	C₁₃×SD₁₆	—	4	1	no	—
645	C₁₃×D₈	—	4	1	no	—
646	C₁₃×D₈	—	4	1	no	—
647	C₁₃×M₁₆	—	4	1	no	—
648	C₂×C₈×C₁₃	—	4	1	no	—
649	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
653	C₁₃×C₄⋊C₄	—	2	1	no	—
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₂²⋊C₄	—	2	1	no	—
667	C₁₃×C₂²⋊C₄	—	2	1	no	—
668	C₁₃×C₂²⋊C₄	—	2	1	no	—
669	C₄²×C₁₃	—	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	C₂²⋊Dic₁₃	—	2	1	no	—
680	C₂²⋊Dic₁₃	—	2	1	no	—
681	C₂²⋊Dic₁₃	—	2	1	no	—
682	#6106	—	4	1	no	—
683	#6106	—	4	1	no	—
684	#6105	—	4	1	no	—
685	#6105	—	4	1	no	—
686	#6105	—	4	1	no	—
687	#6105	—	4	1	no	—
688	#6104	—	4	1	no	—
689	#6104	—	4	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	#6103	—	2	1	no	—
706	#6103	—	2	1	no	—
707	#6103	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
714	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
715	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	#6101	—	2	1	no	—
724	#6101	—	2	1	no	—
725	#6101	—	2	1	no	—
726	C₄×Dic₁₃	—	2	1	no	—
727	C₄×Dic₁₃	—	2	1	no	—
728	C₄×Dic₁₃	—	2	1	no	—
729	C₄×Dic₁₃	—	2	1	no	—
730	C₄×Dic₁₃	—	2	1	no	—
731	C₄×Dic₁₃	—	2	1	no	—
732	#6099	—	4	1	no	—
733	C₂×#1055	—	4	1	no	—
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	C₂×#1055	C₂⁴	1	1	yes	characteristic
736	C₂×#1055	C₂⁴	1	1	yes	characteristic
737	C₂×#1055	C₂⁴	1	1	yes	characteristic
738	#6095	—	4	1	no	—
739	#6095	—	4	1	no	—
740	#6095	—	4	1	no	—
741	#6095	—	4	1	no	—
742	#6094	—	2	2	no	—
743	#6094	—	2	2	no	—
744	#6094	—	4	1	no	—
745	#6094	—	4	1	no	—
746	C₈×D₁₃	—	2	2	no	—
747	C₈×D₁₃	—	2	2	no	—
748	C₈×D₁₃	—	4	1	no	—
749	C₈×D₁₃	—	4	1	no	—
750	#3489	—	13	1	no	—
751	C₂×#535	—	13	1	no	—
752	#3200	—	13	1	no	—
753	#3200	—	13	1	no	—
754	#3200	—	13	1	no	—
755	#3200	—	13	1	no	—
756	#3198	—	13	1	no	—
757	#3198	—	13	1	no	—
758	#3198	—	13	1	no	—
759	#3198	D₁₃	1	1	yes	characteristic, complemented
760	#3194	—	13	1	no	—
761	#3194	—	13	1	no	—
762	#3193	—	13	1	no	—
763	#3193	—	13	1	no	—
764	#3188	—	13	1	no	—
765	#3188	—	13	1	no	—
766	#3187	—	13	1	no	—
767	#3187	—	13	1	no	—
768	#3096	—	13	1	no	—
769	#3096	—	13	1	no	—
770	#3095	—	13	1	no	—
771	#3091	—	13	1	no	—
772	#3062	—	13	1	no	—
773	#3062	—	13	1	no	—
774	#3057	—	13	1	no	—
775	#3057	—	13	1	no	—
776	#3010	—	13	1	no	—
777	#3010	—	13	1	no	—
778	#3003	—	13	1	no	—
779	C₂×#450	—	13	1	no	—
780	#2880	—	13	1	no	—
781	C₂³×C₁₃	—	2	1	no	—
782	C₂³×C₁₃	—	2	1	no	—
783	C₂³×C₁₃	—	2	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	2	no	—
792	C₂²×D₁₃	—	2	2	no	—
793	C₂²×D₁₃	—	2	2	no	—
794	C₂²×D₁₃	—	2	1	no	—
795	C₂²×D₁₃	—	2	1	no	—
796	C₂²×D₁₃	—	4	1	no	—
797	C₂²×D₁₃	—	4	1	no	—
798	C₂²×D₁₃	—	4	1	no	—
799	C₂²×D₁₃	—	4	1	no	—
800	C₂²×D₁₃	—	4	1	no	—
801	C₂²×D₁₃	—	4	2	no	—
802	C₂²×D₁₃	—	4	2	no	—
803	C₂²×D₁₃	—	4	2	no	—
804	C₂²×D₁₃	—	4	2	no	—
805	C₂²×D₁₃	—	4	2	no	—
806	C₂²×D₁₃	—	4	2	no	—
807	C₂²×D₁₃	—	4	2	no	—
808	C₂²×D₁₃	—	4	2	no	—
809	C₂²×D₁₃	—	4	2	no	—
810	C₂²×D₁₃	—	8	1	no	—
811	C₂²×D₁₃	—	8	1	no	—
812	C₂²×D₁₃	—	8	1	no	—
813	C₂²×D₁₃	—	8	1	no	—
814	C₂²×D₁₃	—	8	1	no	—
815	C₂²×D₁₃	—	8	1	no	—
816	C₂²×D₁₃	—	8	16	no	—
817	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
821	Q₈×C₁₃	—	2	1	no	—
822	Q₈×C₁₃	—	2	1	no	—
823	Q₈×C₁₃	—	4	1	no	—
824	D₄×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	2	1	no	—
829	D₄×C₁₃	—	2	1	no	—
830	D₄×C₁₃	—	4	1	no	—
831	D₄×C₁₃	—	4	1	no	—
832	D₄×C₁₃	—	4	1	no	—
833	D₄×C₁₃	—	4	2	no	—
834	D₄×C₁₃	—	4	2	no	—
835	D₄×C₁₃	—	8	1	no	—
836	D₄×C₁₃	—	8	1	no	—
837	D₄×C₁₃	—	8	1	no	—
838	D₄×C₁₃	—	8	1	no	—
839	D₄×C₁₃	—	8	1	no	—
840	D₄×C₁₃	—	8	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	2	1	no	—
845	C₂×C₄×C₁₃	—	2	1	no	—
846	C₂×C₄×C₁₃	—	2	1	no	—
847	C₂×C₄×C₁₃	—	2	1	no	—
848	C₂×C₄×C₁₃	—	2	1	no	—
849	C₂×C₄×C₁₃	—	2	1	no	—
850	C₂×C₄×C₁₃	—	2	1	no	—
851	C₂×C₄×C₁₃	—	2	1	no	—
852	C₂×C₄×C₁₃	—	4	2	no	—
853	C₂×C₄×C₁₃	—	8	1	no	—
854	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
858	C₂²⋊D₁₃	—	2	2	no	—
859	C₂²⋊D₁₃	—	2	2	no	—
860	C₂²⋊D₁₃	—	2	2	no	—
861	C₂²⋊D₁₃	—	2	2	no	—
862	C₂²⋊D₁₃	—	4	1	no	—
863	C₂²⋊D₁₃	—	4	1	no	—
864	C₂²⋊D₁₃	—	4	2	no	—
865	C₂²⋊D₁₃	—	4	2	no	—
866	C₂²⋊D₁₃	—	4	2	no	—
867	C₂²⋊D₁₃	—	4	2	no	—
868	C₂²⋊D₁₃	—	4	2	no	—
869	C₂²⋊D₁₃	—	4	2	no	—
870	C₂²⋊D₁₃	—	4	2	no	—
871	C₂²⋊D₁₃	—	8	1	no	—
872	C₂²⋊D₁₃	—	8	1	no	—
873	C₂²⋊D₁₃	—	8	1	no	—
874	C₂²⋊D₁₃	—	8	1	no	—
875	C₂²⋊D₁₃	—	8	1	no	—
876	C₂²⋊D₁₃	—	8	1	no	—
877	C₂²⋊D₁₃	—	8	1	no	—
878	C₂²⋊D₁₃	—	8	1	no	—
879	C₂²⋊D₁₃	—	8	1	no	—
880	C₂×Dic₁₃	—	2	2	no	—
881	C₂×Dic₁₃	—	2	1	no	—
882	C₂×Dic₁₃	—	2	1	no	—
883	C₂×Dic₁₃	—	2	1	no	—
884	C₂×Dic₁₃	—	2	1	no	—
885	C₂×Dic₁₃	—	2	1	no	—
886	C₂×Dic₁₃	—	2	1	no	—
887	C₂×Dic₁₃	—	4	1	no	—
888	C₂×Dic₁₃	—	4	1	no	—
889	C₂×Dic₁₃	—	4	2	no	—
890	C₂×Dic₁₃	—	4	2	no	—
891	C₂×Dic₁₃	—	4	2	no	—
892	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
893	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
894	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
895	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
896	D₅₂	—	2	2	no	—
897	D₅₂	—	2	2	no	—
898	D₅₂	—	2	1	no	—
899	D₅₂	—	2	1	no	—
900	D₅₂	—	2	1	no	—
901	D₅₂	—	2	1	no	—
902	D₅₂	—	4	1	no	—
903	D₅₂	—	4	2	no	—
904	D₅₂	—	8	1	no	—
905	D₅₂	—	8	1	no	—
906	D₅₂	—	8	1	no	—
907	D₅₂	—	8	1	no	—
908	C₄×D₁₃	—	2	2	no	—
909	C₄×D₁₃	—	2	1	no	—
910	C₄×D₁₃	—	2	1	no	—
911	C₄×D₁₃	—	2	1	no	—
912	C₄×D₁₃	—	2	1	no	—
913	C₄×D₁₃	—	2	1	no	—
914	C₄×D₁₃	—	2	1	no	—
915	C₄×D₁₃	—	2	2	no	—
916	C₄×D₁₃	—	4	1	no	—
917	C₄×D₁₃	—	4	1	no	—
918	C₄×D₁₃	—	4	1	no	—
919	C₄×D₁₃	—	4	1	no	—
920	C₄×D₁₃	—	4	2	no	—
921	C₄×D₁₃	—	4	2	no	—
922	C₄×D₁₃	—	4	2	no	—
923	C₄×D₁₃	—	4	2	no	—
924	C₄×D₁₃	—	8	1	no	—
925	C₄×D₁₃	—	8	1	no	—
926	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
927	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
928	Dic₂₆	—	2	2	no	—
929	Dic₂₆	—	2	2	no	—
930	Dic₂₆	—	2	1	no	—
931	Dic₂₆	—	2	1	no	—
932	Dic₂₆	—	2	1	no	—
933	Dic₂₆	—	2	1	no	—
934	Dic₂₆	—	4	1	no	—
935	Dic₂₆	—	4	2	no	—
936	Dic₂₆	—	4	2	no	—
937	Dic₂₆	—	4	2	no	—
938	C₈×C₁₃	—	2	1	no	—
939	C₈×C₁₃	—	2	1	no	—
940	C₈×C₁₃	—	2	1	no	—
941	C₈×C₁₃	—	2	1	no	—
942	#1055	—	2	1	no	—
943	#1055	—	2	1	no	—
944	#1055	—	2	1	no	—
945	#1055	—	2	1	no	—
946	C₂×2₋¹⁺⁴	—	13	1	no	—
947	C₂²×#41	—	13	1	no	—
948	C₂³×D₄	—	13	1	no	—
949	C₂×AGL(1,ℤ/8)	—	13	1	no	—
950	C₂×AGL(1,ℤ/8)	—	13	1	no	—
951	C₂²×SD₁₆	—	13	1	no	—
952	C₂²×SD₁₆	—	13	1	no	—
953	C₂×#131	—	13	1	no	—
954	C₂×#131	—	13	1	no	—
955	D₄×Q₈	—	26	1	no	—
956	#548	—	26	1	no	—
957	#547	—	26	1	no	—
958	#547	—	26	1	no	—
959	#547	—	26	1	no	—
960	#546	—	26	1	no	—
961	#546	—	26	1	no	—
962	#546	—	26	1	no	—
963	#537	—	13	1	no	—
964	#537	—	13	1	no	—
965	#537	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#536	—	13	1	no	—
967	#536	—	13	1	no	—
968	#536	—	13	1	no	—
969	#535	—	13	1	no	—
970	#535	—	13	1	no	—
971	#535	—	13	1	no	—
972	#535	—	13	1	no	—
973	#535	—	13	1	no	—
974	#535	—	13	1	no	—
975	#535	—	13	1	no	—
976	#535	—	26	1	no	—
977	#535	—	26	1	no	—
978	#535	—	26	1	no	—
979	#535	—	26	1	no	—
980	#535	C₂×D₁₃	1	1	yes	characteristic
981	C₂×#127	—	26	1	no	—
982	C₂×#124	—	26	1	no	—
983	#525	—	13	1	no	—
984	#525	—	13	1	no	—
985	#525	—	13	1	no	—
986	C₂×C₂²⋊Q₈	—	13	1	no	—
987	C₂×C₂²⋊Q₈	—	13	1	no	—
988	C₂×C₂²⋊Q₈	—	13	1	no	—
989	C₂×#121	—	13	1	no	—
990	C₂×#121	—	13	1	no	—
991	C₂×#121	—	13	1	no	—
992	C₂×#121	—	13	1	no	—
993	C₂×#120	—	26	1	no	—
994	C₂×#120	—	26	1	no	—
995	#520	—	13	1	no	—
996	C₂×#117	—	13	1	no	—
997	#485	—	13	1	no	—
998	#485	—	13	1	no	—
999	#485	—	13	1	no	—
1000	#485	—	13	1	no	—
1001	#485	—	13	1	no	—
1002	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#484	—	13	1	no	—
1004	#484	—	13	1	no	—
1005	#484	—	13	1	no	—
1006	#483	—	13	1	no	—
1007	#483	—	13	1	no	—
1008	#483	—	13	1	no	—
1009	#482	—	13	1	no	—
1010	#482	—	13	1	no	—
1011	#482	—	13	1	no	—
1012	#482	—	13	1	no	—
1013	#482	—	13	1	no	—
1014	#482	—	13	1	no	—
1015	#482	—	13	1	no	—
1016	#482	—	13	1	no	—
1017	#482	—	13	1	no	—
1018	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	#481	—	13	1	no	—
1020	#481	—	13	1	no	—
1021	#481	—	13	1	no	—
1022	#481	—	13	1	no	—
1023	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#480	—	13	1	no	—
1025	#480	—	13	1	no	—
1026	#480	—	13	1	no	—
1027	#480	—	13	1	no	—
1028	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#469	—	13	1	no	—
1030	#469	—	13	1	no	—
1031	#469	—	13	1	no	—
1032	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1033	#468	—	13	1	no	—
1034	#468	—	13	1	no	—
1035	#468	—	13	1	no	—
1036	#468	—	13	1	no	—
1037	#468	—	13	1	no	—
1038	#468	—	13	1	no	—
1039	#468	—	13	1	no	—
1040	#468	—	13	1	no	—
1041	#468	—	13	1	no	—
1042	#468	—	13	1	no	—
1043	#468	—	13	1	no	—
1044	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	#466	—	13	1	no	—
1046	#466	—	13	1	no	—
1047	#466	—	13	1	no	—
1048	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	#465	—	13	1	no	—
1050	#465	—	13	1	no	—
1051	#465	—	13	1	no	—
1052	#465	—	13	1	no	—
1053	#465	—	13	1	no	—
1054	#465	—	13	1	no	—
1055	#465	—	13	1	no	—
1056	#465	—	13	1	no	—
1057	#465	—	13	1	no	—
1058	#465	—	13	1	no	—
1059	#465	—	13	1	no	—
1060	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1061	#450	—	13	1	no	—
1062	#450	—	13	1	no	—
1063	#450	—	13	1	no	—
1064	#450	—	13	1	no	—
1065	#450	—	13	1	no	—
1066	#450	—	13	1	no	—
1067	#450	—	13	1	no	—
1068	#450	—	13	1	no	—
1069	#450	—	13	1	no	—
1070	#450	—	13	1	no	—
1071	#450	—	13	1	no	—
1072	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
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	#448	—	13	1	no	—
1082	#448	—	13	1	no	—
1083	#448	—	13	1	no	—
1084	#448	—	13	1	no	—
1085	#448	—	13	1	no	—
1086	#448	—	13	1	no	—
1087	#448	—	13	1	no	—
1088	#448	—	13	1	no	—
1089	#447	—	13	1	no	—
1090	#447	—	13	1	no	—
1091	#447	—	13	1	no	—
1092	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1093	#428	—	13	1	no	—
1094	#428	—	13	1	no	—
1095	#427	—	13	1	no	—
1096	#427	—	13	1	no	—
1097	#419	—	13	1	no	—
1098	#419	—	13	1	no	—
1099	#418	—	13	1	no	—
1100	#418	—	13	1	no	—
1101	#416	—	13	1	no	—
1102	#416	—	13	1	no	—
1103	C₂×#102	—	13	1	no	—
1104	C₂×#102	—	13	1	no	—
1105	#408	—	13	1	no	—
1106	#408	—	13	1	no	—
1107	#408	—	13	1	no	—
1108	#408	—	13	1	no	—
1109	#408	—	13	1	no	—
1110	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1111	#407	—	13	1	no	—
1112	#407	—	13	1	no	—
1113	#407	—	13	1	no	—
1114	C₂×C₂²⋊C₈	—	13	1	no	—
1115	C₂×C₂²⋊C₈	—	13	1	no	—
1116	C₂×C₂²⋊C₈	—	13	1	no	—
1117	C₂²×C₁₃	—	2	1	no	—
1118	C₂²×C₁₃	—	2	1	no	—
1119	C₂²×C₁₃	—	2	1	no	—
1120	C₂²×C₁₃	—	2	1	no	—
1121	C₂²×C₁₃	—	2	1	no	—
1122	C₂²×C₁₃	—	2	1	no	—
1123	C₂²×C₁₃	—	2	1	no	—
1124	C₂²×C₁₃	—	2	1	no	—
1125	C₂²×C₁₃	—	2	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	4	1	no	—
1128	C₂²×C₁₃	—	4	1	no	—
1129	C₂²×C₁₃	—	4	1	no	—
1130	C₂²×C₁₃	—	4	1	no	—
1131	C₂²×C₁₃	—	4	1	no	—
1132	C₂²×C₁₃	—	4	1	no	—
1133	C₂²×C₁₃	—	4	1	no	—
1134	C₂²×C₁₃	—	4	1	no	—
1135	C₂²×C₁₃	—	8	4	no	—
1136	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1142	C₂×D₁₃	—	2	1	no	—
1143	C₂×D₁₃	—	2	1	no	—
1144	C₂×D₁₃	—	2	1	no	—
1145	C₂×D₁₃	—	2	1	no	—
1146	C₂×D₁₃	—	2	1	no	—
1147	C₂×D₁₃	—	4	4	no	—
1148	C₂×D₁₃	—	4	1	no	—
1149	C₂×D₁₃	—	4	1	no	—
1150	C₂×D₁₃	—	4	1	no	—
1151	C₂×D₁₃	—	4	1	no	—
1152	C₂×D₁₃	—	4	1	no	—
1153	C₂×D₁₃	—	4	1	no	—
1154	C₂×D₁₃	—	8	2	no	—
1155	C₂×D₁₃	—	8	2	no	—
1156	C₂×D₁₃	—	8	4	no	—
1157	C₂×D₁₃	—	8	4	no	—
1158	C₂×D₁₃	—	8	4	no	—
1159	C₂×D₁₃	—	8	4	no	—
1160	C₂×D₁₃	—	8	4	no	—
1161	C₂×D₁₃	#534	1	2	yes	—
1162	C₂×D₁₃	#577	1	2	yes	—
1163	C₄×C₁₃	—	2	1	no	—
1164	C₄×C₁₃	—	2	1	no	—
1165	C₄×C₁₃	—	2	1	no	—
1166	C₄×C₁₃	—	4	1	no	—
1167	C₄×C₁₃	—	4	1	no	—
1168	C₄×C₁₃	—	4	1	no	—
1169	C₄×C₁₃	—	4	1	no	—
1170	C₄×C₁₃	—	4	1	no	—
1171	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1172	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1173	Dic₁₃	—	2	1	no	—
1174	Dic₁₃	—	2	1	no	—
1175	Dic₁₃	—	2	1	no	—
1176	Dic₁₃	—	4	1	no	—
1177	Dic₁₃	—	4	1	no	—
1178	Dic₁₃	—	4	1	no	—
1179	Dic₁₃	—	4	1	no	—
1180	Dic₁₃	—	4	1	no	—
1181	Dic₁₃	—	4	1	no	—
1182	Dic₁₃	#534	1	2	yes	—
1183	C₂⁵	—	26	1	no	—
1184	2₋¹⁺⁴	—	52	2	no	—
1185	2₋¹⁺⁴	—	52	2	no	—
1186	C₂×#41	—	13	1	no	—
1187	C₂×#41	—	13	1	no	—
1188	C₂×#41	—	13	1	no	—
1189	C₂×#41	—	13	1	no	—
1190	C₂×#41	—	13	1	no	—
1191	C₂×#41	—	13	1	no	—
1192	C₂×#41	—	13	1	no	—
1193	C₂×#41	—	13	1	no	—
1194	C₂×#41	—	13	1	no	—
1195	C₂×#41	—	26	1	no	—
1196	C₂×#41	—	26	1	no	—
1197	C₂×#41	—	26	1	no	—
1198	C₂×#41	—	52	2	no	—
1199	C₂×#41	—	52	2	no	—
1200	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic, complemented
1202	C₂²×Q₈	—	13	1	no	—
1203	C₂²×Q₈	—	13	1	no	—
1204	C₂²×Q₈	—	13	1	no	—
1205	C₂²×Q₈	—	13	1	no	—
1206	C₂²×Q₈	—	26	1	no	—
1207	C₂²×D₄	—	13	1	no	—
1208	C₂²×D₄	—	13	1	no	—
1209	C₂²×D₄	—	13	1	no	—
1210	C₂²×D₄	—	13	1	no	—
1211	C₂²×D₄	—	13	1	no	—
1212	C₂²×D₄	—	13	1	no	—
1213	C₂²×D₄	—	13	1	no	—
1214	C₂²×D₄	—	13	1	no	—
1215	C₂²×D₄	—	26	1	no	—
1216	C₂²×D₄	—	26	1	no	—
1217	C₂²×D₄	—	26	1	no	—
1218	C₂²×D₄	—	26	1	no	—
1219	C₂²×D₄	—	26	1	no	—
1220	C₂²×D₄	—	26	1	no	—
1221	C₂²×D₄	—	26	1	no	—
1222	C₂²×D₄	—	52	2	no	—
1223	C₂²×D₄	—	52	2	no	—
1224	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1225	C₂³×C₄	—	13	1	no	—
1226	C₂³×C₄	—	13	1	no	—
1227	C₂³×C₄	—	13	1	no	—
1228	AGL(1,ℤ/8)	—	52	2	no	—
1229	AGL(1,ℤ/8)	—	52	2	no	—
1230	C₂×SD₁₆	—	13	1	no	—
1231	C₂×SD₁₆	—	13	1	no	—
1232	C₂×SD₁₆	—	13	1	no	—
1233	C₂×SD₁₆	—	13	1	no	—
1234	C₂×SD₁₆	—	13	1	no	—
1235	C₂×SD₁₆	—	13	1	no	—
1236	C₂×SD₁₆	—	13	1	no	—
1237	C₂×SD₁₆	—	13	1	no	—
1238	C₂×SD₁₆	—	13	1	no	—
1239	C₂×SD₁₆	—	13	1	no	—
1240	C₂×SD₁₆	—	52	2	no	—
1241	C₂×SD₁₆	—	52	2	no	—
1242	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1243	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1244	C₂×D₈	—	13	1	no	—
1245	C₂×D₈	—	13	1	no	—
1246	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1247	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1248	#131	—	52	2	no	—
1249	#131	—	52	2	no	—
1250	C₂×M₁₆	—	13	1	no	—
1251	C₂×M₁₆	—	13	1	no	—
1252	C₂×M₁₆	—	13	1	no	—
1253	C₂×M₁₆	—	13	1	no	—
1254	C₂×M₁₆	—	13	1	no	—
1255	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1256	C₂²×C₈	—	13	1	no	—
1257	C₂²×C₈	—	13	1	no	—
1258	C₂²×C₈	—	13	1	no	—
1259	C₂²×C₈	—	13	1	no	—
1260	C₂²×C₈	—	13	1	no	—
1261	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1262	C₄⋊Q₈	—	26	1	no	—
1263	C₄⋊Q₈	—	26	1	no	—
1264	C₄⋊Q₈	—	26	1	no	—
1265	#127	—	2	1	no	—
1266	#127	—	26	1	no	—
1267	#127	—	26	1	no	—
1268	#127	—	26	1	no	—
1269	#127	—	26	1	no	—
1270	#127	—	26	1	no	—
1271	#127	—	26	1	no	—
1272	#127	—	26	1	no	—
1273	#124	—	2	1	no	—
1274	#124	—	26	1	no	—
1275	#124	—	26	1	no	—
1276	#124	—	26	1	no	—
1277	#124	—	26	1	no	—
1278	#124	—	26	1	no	—
1279	#124	—	26	1	no	—
1280	#124	—	26	1	no	—
1281	#124	—	26	1	no	—
1282	#124	—	26	1	no	—
1283	#124	—	26	1	no	—
1284	#123	—	26	1	no	—
1285	#123	—	26	1	no	—
1286	#123	—	26	1	no	—
1287	#123	—	26	1	no	—
1288	#123	—	26	1	no	—
1289	#123	—	26	1	no	—
1290	#123	—	26	1	no	—
1291	#123	—	26	1	no	—
1292	#123	—	26	1	no	—
1293	C₂²⋊Q₈	—	2	1	no	—
1294	C₂²⋊Q₈	—	13	1	no	—
1295	C₂²⋊Q₈	—	13	1	no	—
1296	C₂²⋊Q₈	—	13	1	no	—
1297	C₂²⋊Q₈	—	13	1	no	—
1298	C₂²⋊Q₈	—	13	1	no	—
1299	C₂²⋊Q₈	—	13	1	no	—
1300	C₂²⋊Q₈	—	13	1	no	—
1301	C₂²⋊Q₈	—	13	1	no	—
1302	C₂²⋊Q₈	—	13	1	no	—
1303	C₂²⋊Q₈	—	13	1	no	—
1304	C₂²⋊Q₈	—	26	1	no	—
1305	C₂²⋊Q₈	—	26	1	no	—
1306	C₂²⋊Q₈	—	26	1	no	—
1307	C₂²⋊Q₈	—	26	1	no	—
1308	C₂²⋊Q₈	—	26	1	no	—
1309	C₂²⋊Q₈	—	26	1	no	—
1310	C₂²⋊Q₈	—	26	1	no	—
1311	C₂²⋊Q₈	—	26	1	no	—
1312	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1314	#121	—	2	1	no	—
1315	#121	—	2	1	no	—
1316	#121	—	2	1	no	—
1317	#121	—	13	1	no	—
1318	#121	—	13	1	no	—
1319	#121	—	13	1	no	—
1320	#121	—	13	1	no	—
1321	#121	—	13	1	no	—
1322	#121	—	13	1	no	—
1323	#121	—	13	1	no	—
1324	#121	—	13	1	no	—
1325	#121	—	13	1	no	—
1326	#121	—	13	1	no	—
1327	#121	—	13	1	no	—
1328	#121	—	13	1	no	—
1329	#121	—	13	1	no	—
1330	#121	—	13	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	—	26	1	no	—
1337	#121	—	26	1	no	—
1338	#121	—	26	1	no	—
1339	#121	—	26	1	no	—
1340	#121	—	26	1	no	—
1341	#121	—	26	1	no	—
1342	#121	—	26	1	no	—
1343	#121	—	26	1	no	—
1344	#121	—	26	1	no	—
1345	#121	C₂²×D₁₃	1	1	yes	characteristic
1346	#121	C₂²×D₁₃	1	1	yes	characteristic
1347	#121	C₂²×D₁₃	1	1	yes	characteristic
1348	#121	C₂²×D₁₃	1	1	yes	characteristic
1349	#121	C₂²×D₁₃	1	1	yes	characteristic
1350	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
1351	#120	—	2	1	no	—
1352	#120	—	2	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	#120	—	26	1	no	—
1360	#120	—	26	1	no	—
1361	#120	—	26	1	no	—
1362	#120	—	26	1	no	—
1363	#120	—	26	1	no	—
1364	#120	—	26	1	no	—
1365	#120	—	26	1	no	—
1366	#120	—	26	1	no	—
1367	#120	—	26	1	no	—
1368	#120	—	26	1	no	—
1369	#120	—	26	1	no	—
1370	C₄×Q₈	—	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	C₄×D₄	—	26	1	no	—
1378	C₄×D₄	—	26	1	no	—
1379	C₄×D₄	—	26	1	no	—
1380	#117	—	13	1	no	—
1381	#117	—	13	1	no	—
1382	#117	—	13	1	no	—
1383	#117	—	13	1	no	—
1384	#117	—	13	1	no	—
1385	#117	—	13	1	no	—
1386	#117	—	26	1	no	—
1387	#117	—	26	1	no	—
1388	#117	C₂²×D₁₃	1	1	yes	characteristic
1389	C₂×C₄⋊C₄	—	13	1	no	—
1390	C₂×C₄⋊C₄	—	13	1	no	—
1391	C₂×C₄⋊C₄	—	13	1	no	—
1392	C₂×C₄⋊C₄	—	13	1	no	—
1393	C₂×C₄⋊C₄	—	26	1	no	—
1394	C₂×C₄⋊C₄	—	26	1	no	—
1395	C₂×C₄⋊C₄	—	26	1	no	—
1396	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1397	C₂×C₂²⋊C₄	—	26	1	no	—
1398	C₂×C₂²⋊C₄	—	26	1	no	—
1399	C₂×C₂²⋊C₄	—	26	1	no	—
1400	C₂×C₂²⋊C₄	—	26	1	no	—
1401	C₂×C₂²⋊C₄	—	26	1	no	—
1402	C₂×C₂²⋊C₄	—	26	1	no	—
1403	C₂×C₂²⋊C₄	—	26	1	no	—
1404	C₂×C₂²⋊C₄	—	26	1	no	—
1405	C₂×C₄²	—	26	1	no	—
1406	#107	—	13	1	no	—
1407	#107	—	13	1	no	—
1408	#107	—	13	1	no	—
1409	#107	—	13	1	no	—
1410	#107	—	13	1	no	—
1411	#107	—	13	1	no	—
1412	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1413	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1414	#106	—	13	1	no	—
1415	#106	—	13	1	no	—
1416	#106	—	13	1	no	—
1417	#106	—	13	1	no	—
1418	#106	—	13	1	no	—
1419	#106	—	13	1	no	—
1420	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1421	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1422	#103	—	13	1	no	—
1423	#103	—	13	1	no	—
1424	#103	—	13	1	no	—
1425	#103	—	13	1	no	—
1426	#103	—	13	1	no	—
1427	#103	—	13	1	no	—
1428	#103	—	13	1	no	—
1429	#103	—	13	1	no	—
1430	#103	—	13	1	no	—
1431	#103	—	13	1	no	—
1432	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1433	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1434	#102	—	13	1	no	—
1435	#102	—	13	1	no	—
1436	#102	—	13	1	no	—
1437	#102	—	13	1	no	—
1438	#102	—	13	1	no	—
1439	#102	—	13	1	no	—
1440	#102	—	13	1	no	—
1441	#102	—	13	1	no	—
1442	#102	—	13	1	no	—
1443	#102	—	13	1	no	—
1444	#102	—	13	1	no	—
1445	#102	—	13	1	no	—
1446	#102	—	13	1	no	—
1447	#102	—	13	1	no	—
1448	#102	C₂²×D₁₃	1	1	yes	characteristic
1449	#102	C₂²×D₁₃	1	1	yes	characteristic
1450	#102	C₂²×D₁₃	1	1	yes	characteristic
1451	#102	C₂²×D₁₃	1	1	yes	characteristic
1452	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1453	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1454	C₂²⋊C₈	—	13	1	no	—
1455	C₂²⋊C₈	—	13	1	no	—
1456	C₂²⋊C₈	—	13	1	no	—
1457	C₂²⋊C₈	—	13	1	no	—
1458	C₂²⋊C₈	—	13	1	no	—
1459	C₂²⋊C₈	—	13	1	no	—
1460	C₂²⋊C₈	—	13	1	no	—
1461	C₂²⋊C₈	—	13	1	no	—
1462	C₂²⋊C₈	—	13	1	no	—
1463	C₂²⋊C₈	—	13	1	no	—
1464	C₂²⋊C₈	—	13	1	no	—
1465	C₂²⋊C₈	—	13	1	no	—
1466	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1467	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1468	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1469	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1470	C₂×C₁₃	—	4	1	no	—
1471	C₂×C₁₃	—	4	1	no	—
1472	C₂×C₁₃	—	4	1	no	—
1473	C₂×C₁₃	—	8	1	no	—
1474	C₂×C₁₃	—	8	1	no	—
1475	C₂×C₁₃	—	8	1	no	—
1476	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1477	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1478	C₂×C₁₃	#3585	1	1	yes	characteristic
1479	D₁₃	—	2	2	no	—
1480	D₁₃	—	2	2	no	—
1481	D₁₃	—	4	1	no	—
1482	D₁₃	—	4	1	no	—
1483	D₁₃	—	8	1	no	—
1484	D₁₃	—	8	1	no	—
1485	C₂⁴	—	2	1	no	—
1486	C₂⁴	—	13	1	no	—
1487	C₂⁴	—	13	1	no	—
1488	C₂⁴	—	13	1	no	—
1489	C₂⁴	—	26	1	no	—
1490	C₂⁴	—	26	1	no	—
1491	C₂⁴	—	26	1	no	—
1492	C₂⁴	—	26	1	no	—
1493	C₂⁴	—	26	1	no	—
1494	C₂⁴	—	52	4	no	—
1495	C₂⁴	—	104	2	no	—
1496	C₂⁴	—	104	2	no	—
1497	#41	—	4	1	no	—
1498	#41	—	4	1	no	—
1499	#41	—	4	1	no	—
1500	#41	—	4	1	no	—
1501	#41	—	26	2	no	—
1502	#41	—	26	2	no	—
1503	#41	—	26	2	no	—
1504	#41	—	26	2	no	—
1505	#41	—	26	2	no	—
1506	#41	—	26	2	no	—
1507	#41	—	52	1	no	—
1508	#41	—	52	1	no	—
1509	#41	—	52	4	no	—
1510	#41	—	52	1	no	—
1511	#41	—	52	1	no	—
1512	#41	—	52	2	no	—
1513	#41	—	52	2	no	—
1514	#41	—	52	2	no	—
1515	#41	—	52	2	no	—
1516	#41	—	52	4	no	—
1517	#41	—	52	4	no	—
1518	C₂×Q₈	—	13	1	no	—
1519	C₂×Q₈	—	13	1	no	—
1520	C₂×Q₈	—	13	1	no	—
1521	C₂×Q₈	—	13	1	no	—
1522	C₂×Q₈	—	13	1	no	—
1523	C₂×Q₈	—	26	1	no	—
1524	C₂×Q₈	—	26	1	no	—
1525	C₂×Q₈	—	26	2	no	—
1526	C₂×Q₈	—	26	2	no	—
1527	C₂×Q₈	—	26	1	no	—
1528	C₂×Q₈	—	52	1	no	—
1529	C₂×Q₈	—	52	1	no	—
1530	C₂×Q₈	—	52	4	no	—
1531	C₂×Q₈	—	52	1	no	—
1532	C₂×Q₈	—	52	1	no	—
1533	C₂×Q₈	—	52	2	no	—
1534	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1535	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂×D₄	—	2	1	no	—
1537	C₂×D₄	—	2	1	no	—
1538	C₂×D₄	—	2	1	no	—
1539	C₂×D₄	—	2	1	no	—
1540	C₂×D₄	—	2	1	no	—
1541	C₂×D₄	—	2	1	no	—
1542	C₂×D₄	—	2	1	no	—
1543	C₂×D₄	—	2	1	no	—
1544	C₂×D₄	—	4	1	no	—
1545	C₂×D₄	—	4	1	no	—
1546	C₂×D₄	—	13	1	no	—
1547	C₂×D₄	—	13	1	no	—
1548	C₂×D₄	—	13	1	no	—
1549	C₂×D₄	—	13	1	no	—
1550	C₂×D₄	—	13	1	no	—
1551	C₂×D₄	—	13	1	no	—
1552	C₂×D₄	—	13	1	no	—
1553	C₂×D₄	—	13	1	no	—
1554	C₂×D₄	—	13	1	no	—
1555	C₂×D₄	—	13	1	no	—
1556	C₂×D₄	—	13	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	2	no	—
1562	C₂×D₄	—	26	2	no	—
1563	C₂×D₄	—	26	2	no	—
1564	C₂×D₄	—	26	2	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	—	26	1	no	—
1575	C₂×D₄	—	26	1	no	—
1576	C₂×D₄	—	26	1	no	—
1577	C₂×D₄	—	26	1	no	—
1578	C₂×D₄	—	26	1	no	—
1579	C₂×D₄	—	26	1	no	—
1580	C₂×D₄	—	26	1	no	—
1581	C₂×D₄	—	26	1	no	—
1582	C₂×D₄	—	52	1	no	—
1583	C₂×D₄	—	52	1	no	—
1584	C₂×D₄	—	52	1	no	—
1585	C₂×D₄	—	52	1	no	—
1586	C₂×D₄	—	52	1	no	—
1587	C₂×D₄	—	52	1	no	—
1588	C₂×D₄	—	52	2	no	—
1589	C₂×D₄	—	52	4	no	—
1590	C₂×D₄	—	52	4	no	—
1591	C₂×D₄	—	52	4	no	—
1592	C₂×D₄	—	52	2	no	—
1593	C₂×D₄	—	52	2	no	—
1594	C₂×D₄	—	104	2	no	—
1595	C₂×D₄	—	104	2	no	—
1596	C₂×D₄	—	104	2	no	—
1597	C₂×D₄	—	104	2	no	—
1598	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1599	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1600	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1601	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1602	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1603	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1604	C₂²×C₄	—	2	1	no	—
1605	C₂²×C₄	—	2	1	no	—
1606	C₂²×C₄	—	13	1	no	—
1607	C₂²×C₄	—	13	1	no	—
1608	C₂²×C₄	—	13	1	no	—
1609	C₂²×C₄	—	13	1	no	—
1610	C₂²×C₄	—	13	1	no	—
1611	C₂²×C₄	—	13	1	no	—
1612	C₂²×C₄	—	13	1	no	—
1613	C₂²×C₄	—	13	1	no	—
1614	C₂²×C₄	—	13	1	no	—
1615	C₂²×C₄	—	13	1	no	—
1616	C₂²×C₄	—	13	1	no	—
1617	C₂²×C₄	—	13	1	no	—
1618	C₂²×C₄	—	13	1	no	—
1619	C₂²×C₄	—	26	2	no	—
1620	C₂²×C₄	—	26	2	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	—	52	1	no	—
1631	C₂²×C₄	—	52	1	no	—
1632	C₂²×C₄	—	52	1	no	—
1633	C₂²×C₄	—	52	1	no	—
1634	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1635	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1636	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	SD₁₆	—	4	1	no	—
1638	SD₁₆	—	4	1	no	—
1639	SD₁₆	—	52	1	no	—
1640	SD₁₆	—	52	1	no	—
1641	SD₁₆	—	52	1	no	—
1642	SD₁₆	—	52	1	no	—
1643	SD₁₆	—	52	1	no	—
1644	SD₁₆	—	52	1	no	—
1645	SD₁₆	—	52	1	no	—
1646	SD₁₆	—	52	1	no	—
1647	SD₁₆	—	52	1	no	—
1648	SD₁₆	—	52	1	no	—
1649	D₈	—	4	1	no	—
1650	D₈	—	4	1	no	—
1651	D₈	—	52	1	no	—
1652	D₈	—	52	1	no	—
1653	M₁₆	—	4	1	no	—
1654	M₁₆	—	26	2	no	—
1655	M₁₆	—	26	2	no	—
1656	M₁₆	—	52	1	no	—
1657	M₁₆	—	52	1	no	—
1658	M₁₆	—	52	1	no	—
1659	C₂×C₈	—	4	1	no	—
1660	C₂×C₈	—	13	1	no	—
1661	C₂×C₈	—	13	1	no	—
1662	C₂×C₈	—	13	1	no	—
1663	C₂×C₈	—	13	1	no	—
1664	C₂×C₈	—	26	2	no	—
1665	C₂×C₈	—	26	2	no	—
1666	C₂×C₈	—	52	1	no	—
1667	C₂×C₈	—	52	1	no	—
1668	C₂×C₈	—	52	1	no	—
1669	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1670	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1671	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1672	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1673	C₄⋊C₄	—	2	1	no	—
1674	C₄⋊C₄	—	2	1	no	—
1675	C₄⋊C₄	—	2	1	no	—
1676	C₄⋊C₄	—	13	1	no	—
1677	C₄⋊C₄	—	13	1	no	—
1678	C₄⋊C₄	—	13	1	no	—
1679	C₄⋊C₄	—	13	1	no	—
1680	C₄⋊C₄	—	26	1	no	—
1681	C₄⋊C₄	—	26	1	no	—
1682	C₄⋊C₄	—	26	1	no	—
1683	C₄⋊C₄	—	26	1	no	—
1684	C₄⋊C₄	—	26	1	no	—
1685	C₄⋊C₄	—	26	1	no	—
1686	C₄⋊C₄	—	26	1	no	—
1687	C₄⋊C₄	—	26	1	no	—
1688	C₄⋊C₄	—	26	1	no	—
1689	C₄⋊C₄	—	26	1	no	—
1690	C₄⋊C₄	—	26	1	no	—
1691	C₄⋊C₄	—	26	1	no	—
1692	C₄⋊C₄	—	26	1	no	—
1693	C₄⋊C₄	—	26	1	no	—
1694	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1695	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1696	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1697	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1698	C₂²⋊C₄	—	2	1	no	—
1699	C₂²⋊C₄	—	2	1	no	—
1700	C₂²⋊C₄	—	2	1	no	—
1701	C₂²⋊C₄	—	2	1	no	—
1702	C₂²⋊C₄	—	2	1	no	—
1703	C₂²⋊C₄	—	2	1	no	—
1704	C₂²⋊C₄	—	2	1	no	—
1705	C₂²⋊C₄	—	2	1	no	—
1706	C₂²⋊C₄	—	2	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	C₂²⋊C₄	—	26	1	no	—
1725	C₂²⋊C₄	—	26	1	no	—
1726	C₂²⋊C₄	—	26	1	no	—
1727	C₂²⋊C₄	—	26	1	no	—
1728	C₂²⋊C₄	—	26	1	no	—
1729	C₂²⋊C₄	—	26	1	no	—
1730	C₂²⋊C₄	—	26	1	no	—
1731	C₂²⋊C₄	—	26	1	no	—
1732	C₂²⋊C₄	—	26	1	no	—
1733	C₂²⋊C₄	—	26	1	no	—
1734	C₂²⋊C₄	—	26	1	no	—
1735	C₂²⋊C₄	—	26	1	no	—
1736	C₂²⋊C₄	—	26	1	no	—
1737	C₄²	—	2	1	no	—
1738	C₄²	—	26	1	no	—
1739	C₄²	—	26	1	no	—
1740	C₄²	—	26	1	no	—
1741	C₄²	—	26	1	no	—
1742	C₄²	—	26	1	no	—
1743	C₄²	—	26	1	no	—
1744	C₁₃	#60757	1	1	yes	characteristic, complemented, Sylow
1745	C₂³	—	2	1	no	—
1746	C₂³	—	2	1	no	—
1747	C₂³	—	2	1	no	—
1748	C₂³	—	4	2	no	—
1749	C₂³	—	8	1	no	—
1750	C₂³	—	8	1	no	—
1751	C₂³	—	13	1	no	—
1752	C₂³	—	13	1	no	—
1753	C₂³	—	13	1	no	—
1754	C₂³	—	13	1	no	—
1755	C₂³	—	26	2	no	—
1756	C₂³	—	26	2	no	—
1757	C₂³	—	26	2	no	—
1758	C₂³	—	26	2	no	—
1759	C₂³	—	26	1	no	—
1760	C₂³	—	26	1	no	—
1761	C₂³	—	52	1	no	—
1762	C₂³	—	52	1	no	—
1763	C₂³	—	52	1	no	—
1764	C₂³	—	52	1	no	—
1765	C₂³	—	52	1	no	—
1766	C₂³	—	52	2	no	—
1767	C₂³	—	52	2	no	—
1768	C₂³	—	52	2	no	—
1769	C₂³	—	52	2	no	—
1770	C₂³	—	52	2	no	—
1771	C₂³	—	52	2	no	—
1772	C₂³	—	52	2	no	—
1773	C₂³	—	52	2	no	—
1774	C₂³	—	52	2	no	—
1775	C₂³	—	104	1	no	—
1776	C₂³	—	104	1	no	—
1777	C₂³	—	104	1	no	—
1778	C₂³	—	104	1	no	—
1779	C₂³	—	104	1	no	—
1780	C₂³	—	104	1	no	—
1781	C₂³	—	104	16	no	—
1782	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1783	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1784	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1785	Q₈	—	2	1	no	—
1786	Q₈	—	2	1	no	—
1787	Q₈	—	4	1	no	—
1788	Q₈	—	26	2	no	—
1789	Q₈	—	26	2	no	—
1790	Q₈	—	26	1	no	—
1791	Q₈	—	26	1	no	—
1792	Q₈	—	26	1	no	—
1793	Q₈	—	26	1	no	—
1794	Q₈	—	52	1	no	—
1795	Q₈	—	52	2	no	—
1796	Q₈	—	52	2	no	—
1797	Q₈	—	52	2	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	2	1	no	—
1800	D₄	—	2	1	no	—
1801	D₄	—	2	1	no	—
1802	D₄	—	2	1	no	—
1803	D₄	—	2	1	no	—
1804	D₄	—	4	1	no	—
1805	D₄	—	4	1	no	—
1806	D₄	—	4	1	no	—
1807	D₄	—	4	2	no	—
1808	D₄	—	4	2	no	—
1809	D₄	—	8	1	no	—
1810	D₄	—	8	1	no	—
1811	D₄	—	8	1	no	—
1812	D₄	—	8	1	no	—
1813	D₄	—	8	1	no	—
1814	D₄	—	8	1	no	—
1815	D₄	—	26	2	no	—
1816	D₄	—	26	2	no	—
1817	D₄	—	26	2	no	—
1818	D₄	—	26	2	no	—
1819	D₄	—	26	2	no	—
1820	D₄	—	26	2	no	—
1821	D₄	—	26	1	no	—
1822	D₄	—	26	1	no	—
1823	D₄	—	26	1	no	—
1824	D₄	—	26	1	no	—
1825	D₄	—	52	1	no	—
1826	D₄	—	52	2	no	—
1827	D₄	—	52	2	no	—
1828	D₄	—	52	2	no	—
1829	D₄	—	52	1	no	—
1830	D₄	—	52	1	no	—
1831	D₄	—	52	2	no	—
1832	D₄	—	52	2	no	—
1833	D₄	—	52	2	no	—
1834	D₄	—	52	2	no	—
1835	D₄	—	52	2	no	—
1836	D₄	—	104	1	no	—
1837	D₄	—	104	1	no	—
1838	D₄	—	104	1	no	—
1839	D₄	—	104	1	no	—
1840	D₄	—	104	1	no	—
1841	D₄	—	104	1	no	—
1842	D₄	—	104	1	no	—
1843	D₄	—	104	1	no	—
1844	D₄	—	104	1	no	—
1845	D₄	—	104	1	no	—
1846	D₄	—	104	1	no	—
1847	D₄	—	104	1	no	—
1848	D₄	—	104	1	no	—
1849	C₂×C₄	—	2	1	no	—
1850	C₂×C₄	—	2	1	no	—
1851	C₂×C₄	—	2	1	no	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	2	1	no	—
1857	C₂×C₄	—	2	1	no	—
1858	C₂×C₄	—	2	1	no	—
1859	C₂×C₄	—	2	1	no	—
1860	C₂×C₄	—	4	2	no	—
1861	C₂×C₄	—	8	1	no	—
1862	C₂×C₄	—	13	1	no	—
1863	C₂×C₄	—	13	2	no	—
1864	C₂×C₄	—	13	2	no	—
1865	C₂×C₄	—	13	1	no	—
1866	C₂×C₄	—	13	1	no	—
1867	C₂×C₄	—	13	1	no	—
1868	C₂×C₄	—	26	2	no	—
1869	C₂×C₄	—	26	2	no	—
1870	C₂×C₄	—	26	2	no	—
1871	C₂×C₄	—	26	1	no	—
1872	C₂×C₄	—	26	1	no	—
1873	C₂×C₄	—	26	1	no	—
1874	C₂×C₄	—	26	1	no	—
1875	C₂×C₄	—	26	1	no	—
1876	C₂×C₄	—	26	1	no	—
1877	C₂×C₄	—	26	1	no	—
1878	C₂×C₄	—	26	1	no	—
1879	C₂×C₄	—	26	1	no	—
1880	C₂×C₄	—	26	1	no	—
1881	C₂×C₄	—	26	1	no	—
1882	C₂×C₄	—	26	1	no	—
1883	C₂×C₄	—	52	1	no	—
1884	C₂×C₄	—	52	1	no	—
1885	C₂×C₄	—	52	1	no	—
1886	C₂×C₄	—	52	1	no	—
1887	C₂×C₄	—	52	2	no	—
1888	C₂×C₄	—	52	2	no	—
1889	C₂×C₄	—	52	2	no	—
1890	C₂×C₄	—	52	2	no	—
1891	C₂×C₄	—	52	2	no	—
1892	C₂×C₄	—	52	1	no	—
1893	C₂×C₄	—	52	1	no	—
1894	C₂×C₄	—	52	2	no	—
1895	C₂×C₄	—	52	2	no	—
1896	C₂×C₄	—	104	1	no	—
1897	C₂×C₄	—	104	1	no	—
1898	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1899	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1900	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1901	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1902	C₈	—	2	1	no	—
1903	C₈	—	2	1	no	—
1904	C₈	—	2	1	no	—
1905	C₈	—	2	1	no	—
1906	C₈	—	26	1	no	—
1907	C₈	—	26	1	no	—
1908	C₈	—	26	1	no	—
1909	C₈	—	26	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	2	1	no	—
1913	C₂²	—	2	1	no	—
1914	C₂²	—	2	1	no	—
1915	C₂²	—	2	1	no	—
1916	C₂²	—	2	1	no	—
1917	C₂²	—	2	1	no	—
1918	C₂²	—	2	1	no	—
1919	C₂²	—	4	1	no	—
1920	C₂²	—	4	1	no	—
1921	C₂²	—	4	1	no	—
1922	C₂²	—	4	1	no	—
1923	C₂²	—	4	1	no	—
1924	C₂²	—	4	1	no	—
1925	C₂²	—	4	1	no	—
1926	C₂²	—	4	1	no	—
1927	C₂²	—	4	1	no	—
1928	C₂²	—	8	4	no	—
1929	C₂²	—	13	2	no	—
1930	C₂²	—	13	2	no	—
1931	C₂²	—	26	1	no	—
1932	C₂²	—	26	1	no	—
1933	C₂²	—	26	1	no	—
1934	C₂²	—	26	1	no	—
1935	C₂²	—	26	1	no	—
1936	C₂²	—	26	1	no	—
1937	C₂²	—	26	1	no	—
1938	C₂²	—	26	1	no	—
1939	C₂²	—	26	1	no	—
1940	C₂²	—	26	1	no	—
1941	C₂²	—	52	4	no	—
1942	C₂²	—	52	1	no	—
1943	C₂²	—	52	1	no	—
1944	C₂²	—	52	1	no	—
1945	C₂²	—	52	1	no	—
1946	C₂²	—	52	1	no	—
1947	C₂²	—	52	1	no	—
1948	C₂²	—	104	2	no	—
1949	C₂²	—	104	2	no	—
1950	C₂²	—	104	4	no	—
1951	C₂²	—	104	4	no	—
1952	C₂²	—	104	4	no	—
1953	C₂²	—	104	4	no	—
1954	C₂²	—	104	4	no	—
1955	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	4	1	no	—
1960	C₄	—	4	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	13	2	no	—
1965	C₄	—	26	1	no	—
1966	C₄	—	26	1	no	—
1967	C₄	—	26	1	no	—
1968	C₄	—	52	1	no	—
1969	C₄	—	52	1	no	—
1970	C₄	—	52	1	no	—
1971	C₄	—	52	1	no	—
1972	C₄	—	52	1	no	—
1973	C₄	—	52	1	no	—
1974	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1975	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1976	C₂	—	4	1	no	—
1977	C₂	—	4	1	no	—
1978	C₂	—	4	1	no	—
1979	C₂	—	8	1	no	—
1980	C₂	—	8	1	no	—
1981	C₂	—	8	1	no	—
1982	C₂	—	26	2	no	—
1983	C₂	—	26	2	no	—
1984	C₂	—	52	1	no	—
1985	C₂	—	52	1	no	—
1986	C₂	—	104	1	no	—
1987	C₂	—	104	1	no	—
1988	C₂	D₁₃×#534	1	1	yes	characteristic
1989	C₂	D₁₃×#577	1	1	yes	characteristic
1990	C₂	#13129611	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×#3198	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3198	D₁₃
hypocenter	C₁₃	#60757
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3198

Complements

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

N	H ≅ G/N	type
1. #13128511	C₂	semidirect
2. D₁₃×#535	C₂	semidirect
3. #13125709	C₂	semidirect
4. #13125708	C₂	semidirect
5. #13125707	C₂	semidirect
6. #13125705	C₂	semidirect
7. #13125686	C₂	semidirect
8. #13125684	C₂	semidirect
9. #13125682	C₂	semidirect
10. #13125648	C₂	semidirect
11. #13125645	C₂	semidirect
12. #13125644	C₂	semidirect
13. #13125637	C₂	semidirect
14. #13125599	C₂	semidirect
15. #13125596	C₂	semidirect
16. #13125595	C₂	semidirect
17. #13125588	C₂	semidirect
18. #13124793	C₂	semidirect
19. #13124787	C₂	semidirect
20. #13124783	C₂	semidirect
21. #13124748	C₂	semidirect
22. #13124515	C₂	semidirect
23. #13124513	C₂	semidirect
24. #13124473	C₂	semidirect
25. #13124470	C₂	semidirect
26. #13124119	C₂	semidirect
27. #13124119	C₂	semidirect
28. #13124060	C₂	semidirect
29. D₁₃×#450	C₂	semidirect
30. #13123284	C₂	semidirect
31. C₁₃×#3198	C₂	semidirect
32. C₂×#88257	C₂²	semidirect
35. C₁₃×#537	C₂²	semidirect
38. #11719533	C₂²	semidirect
39. #11719530	C₂²	semidirect
41. C₂×SD₁₆×D₁₃	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
43. C₂×#88165	C₂²	semidirect
44. C₂×#88165	C₂²	semidirect
45. C₂×#88161	C₂²	semidirect
46. C₂×#88155	C₂²	semidirect
53. #11719333	C₂²	semidirect
54. #11719333	C₂²	semidirect
56. D₁₃×C₂²⋊Q₈	C₂²	semidirect
62. #11719313	C₂²	semidirect
63. #11719313	C₂²	semidirect
69. #11719311	C₂²	semidirect
81. C₂×#88151	C₂²	semidirect
82. #11719209	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#481	C₂²	semidirect
86. C₁₃×#480	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#466	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. C₁₃×#408	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718895	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718879	C₂²	semidirect
101. #11718835	C₂²	semidirect
102. #11718832	C₂²	semidirect
103. #11718831	C₂²	semidirect
104. #11718831	C₂²	semidirect
107. #11718820	C₂²	semidirect
108. #11718819	C₂²	semidirect
109. #11718819	C₂²	semidirect
110. #11718818	C₂²	semidirect
113. #11718795	C₂²	semidirect
114. #11718795	C₂²	semidirect
115. #11718787	C₂²	semidirect
116. #11718775	C₂²	semidirect
117. #11718775	C₂²	semidirect
118. C₂×#88060	C₂²	semidirect
119. #11718710	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718707	C₂²	semidirect
122. #11718706	C₂²	semidirect
123. #11718703	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718702	C₂²	semidirect
126. #11718702	C₂²	semidirect
127. #11718701	C₂²	semidirect
128. #11718701	C₂²	semidirect
129. #11718700	C₂²	semidirect
130. #11718699	C₂²	semidirect
131. #11718697	C₂²	semidirect
132. #11718696	C₂²	semidirect
133. #11718696	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718657	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718629	C₂²	semidirect
138. #11718628	C₂²	semidirect
139. #11718547	C₂²	semidirect
140. #11718547	C₂²	semidirect
141. #11718546	C₂²	semidirect
142. #11718545	C₂²	semidirect
143. #11718545	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. #11718541	C₂²	semidirect
147. #11718527	C₂²	semidirect
148. #11718525	C₂²	semidirect
149. #11718525	C₂²	semidirect
150. #11718524	C₂²	semidirect
151. #11718523	C₂²	semidirect
152. #11718523	C₂²	semidirect
153. #11718522	C₂²	semidirect
154. #11718521	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718470	C₂²	semidirect
157. #11718468	C₂²	semidirect
158. #11718467	C₂²	semidirect
159. #11718467	C₂²	semidirect
160. #11718466	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. #11718463	C₂²	semidirect
163. #11718445	C₂²	semidirect
164. #11718443	C₂²	semidirect
165. #11718442	C₂²	semidirect
166. #11718442	C₂²	semidirect
167. #11718441	C₂²	semidirect
168. #11718441	C₂²	semidirect
169. #11718440	C₂²	semidirect
170. #11718439	C₂²	semidirect
171. #11718439	C₂²	semidirect
172. #11718438	C₂²	semidirect
173. #11718438	C₂²	semidirect
178. #11718436	C₂²	semidirect
179. #11718435	C₂²	semidirect
180. #11718435	C₂²	semidirect
181. #11718433	C₂²	semidirect
182. #11718433	C₂²	semidirect
183. #11718431	C₂²	semidirect
184. #11718431	C₂²	semidirect
185. D₁₃×#102	C₂²	semidirect
186. D₁₃×#102	C₂²	semidirect
187. #11718399	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718398	C₂²	semidirect
190. #11718398	C₂²	semidirect
191. #11718392	C₂²	semidirect
192. #11718392	C₂²	semidirect
193. #11718388	C₂²	semidirect
194. #11718388	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718388	C₂²	semidirect
198. #11718387	C₂²	semidirect
200. D₁₃×C₂²⋊C₈	C₂²	semidirect
201. #11718384	C₂²	semidirect
202. #11718384	C₂²	semidirect
205. C₂×C₁₃×#41	C₂³	semidirect
215. C₂×Q₈×D₁₃	C₂³	semidirect
222. C₂×#6129	C₂³	semidirect
247. C₂²×Dic₂₆	C₂³	semidirect
252. C₂×C₁₃×M₁₆	C₂³	semidirect
253. C₂²×C₈×C₁₃	C₂³	semidirect
258. C₁₃×C₂²⋊Q₈	C₂³	semidirect
267. C₁₃×#121	C₂³	semidirect
271. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
276. #88200	C₂³	semidirect
299. #88192	C₂³	semidirect
332. #88180	C₂³	semidirect
336. #88178	C₂³	semidirect
337. #88178	C₂³	semidirect
338. C₂×#6099	C₂³	semidirect
339. C₂²×#1055	C₂³	semidirect
352. C₂×#6094	C₂³	semidirect
353. C₂×#6094	C₂³	semidirect
356. C₂×C₈×D₁₃	C₂³	semidirect
357. C₂×C₈×D₁₃	C₂³	semidirect
362. #88151	C₂³	semidirect
363. #88151	C₂³	semidirect
376. #88146	C₂³	semidirect
382. C₄⋊C₄×D₁₃	C₂³	semidirect
426. C₁₃×#107	C₂³	semidirect
427. C₁₃×#107	C₂³	semidirect
428. C₁₃×#106	C₂³	semidirect
429. C₁₃×#106	C₂³	semidirect
430. C₁₃×#103	C₂³	semidirect
431. C₁₃×#103	C₂³	semidirect
436. C₁₃×#102	C₂³	semidirect
437. C₁₃×#102	C₂³	semidirect
440. C₁₃×C₂²⋊C₈	C₂³	semidirect
441. C₁₃×C₂²⋊C₈	C₂³	semidirect
442. #88075	C₂³	semidirect
443. #88075	C₂³	semidirect
448. #88072	C₂³	semidirect
449. #88072	C₂³	semidirect
452. C₂²⋊#1055	C₂³	semidirect
453. C₂²⋊#1055	C₂³	semidirect
462. #88060	C₂³	semidirect
463. #88060	C₂³	semidirect
464. #88060	C₂³	semidirect
465. #88060	C₂³	semidirect
466. #88058	C₂³	semidirect
467. #88058	C₂³	semidirect
468. #88057	C₂³	semidirect
469. #88057	C₂³	semidirect
470. #88056	C₂³	semidirect
471. #88056	C₂³	semidirect
472. #88056	C₂³	semidirect
473. #88056	C₂³	semidirect
474. #88050	C₂³	semidirect
475. #88050	C₂³	semidirect
476. #88050	C₂³	semidirect
477. #88050	C₂³	semidirect
482. #88048	C₂³	semidirect
483. #88048	C₂³	semidirect
484. #88048	C₂³	semidirect
485. #88048	C₂³	semidirect
486. #88047	C₂³	semidirect
487. #88047	C₂³	semidirect
488. #88047	C₂³	semidirect
489. #88047	C₂³	semidirect
759. #3198	D₁₃	semidirect
965. #537	C₂×D₁₃	semidirect
1002. #485	C₂×D₁₃	semidirect
1018. #482	C₂×D₁₃	semidirect
1023. #481	C₂×D₁₃	semidirect
1028. #480	C₂×D₁₃	semidirect
1032. #469	C₂×D₁₃	semidirect
1044. #468	C₂×D₁₃	semidirect
1048. #466	C₂×D₁₃	semidirect
1060. #465	C₂×D₁₃	semidirect
1072. #450	C₂×D₁₃	semidirect
1079. #449	C₂×D₁₃	semidirect
1080. #449	C₂×D₁₃	semidirect
1092. #447	C₂×D₁₃	semidirect
1110. #408	C₂×D₁₃	semidirect
1201. C₂×#41	C₂²×D₁₃	semidirect
1255. C₂×M₁₆	C₂²×D₁₃	semidirect
1261. C₂²×C₈	C₂²×D₁₃	semidirect
1313. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1350. #121	C₂²×D₁₃	semidirect
1396. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1412. #107	C₂²×D₁₃	semidirect
1413. #107	C₂²×D₁₃	semidirect
1420. #106	C₂²×D₁₃	semidirect
1421. #106	C₂²×D₁₃	semidirect
1432. #103	C₂²×D₁₃	semidirect
1433. #103	C₂²×D₁₃	semidirect
1452. #102	C₂²×D₁₃	semidirect
1453. #102	C₂²×D₁₃	semidirect
1468. C₂²⋊C₈	C₂²×D₁₃	semidirect
1469. C₂²⋊C₈	C₂²×D₁₃	semidirect
1744. C₁₃	#60757	semidirect

Maximal subgroups

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

subgroup	index
#13128511	2
D₁₃×#535	2
#13125709	2
#13125708	2
#13125707	2
#13125705	2
#13125686	2
#13125684	2
#13125682	2
#13125648	2
#13125645	2
#13125644	2
#13125637	2
#13125599	2
#13125596	2
#13125595	2
#13125588	2
#13124793	2
#13124787	2
#13124783	2
#13124748	2
#13124515	2
#13124513	2
#13124473	2
#13124470	2
#13124119	2
#13124060	2
D₁₃×#450	2
#13123284	2
C₁₃×#3198	2
#60757	13