Subgroups — #16740641

Order 3328.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128570	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128489	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127162	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127156	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127094	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127087	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127018	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127016	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126849	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126848	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126842	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126838	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126833	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126824	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126784	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126740	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126731	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125185	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124789	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124673	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124479	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124452	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124119	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123690	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123556	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123365	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	#11719539	C₂²	1	1	yes	characteristic, complemented
37	#11719536	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88165	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×#88155	C₂²	1	1	yes	characteristic
42	C₂²×#6094	C₂²	1	1	yes	characteristic
43	#11719434	C₂²	1	1	yes	characteristic
44	#11719431	C₂²	1	1	yes	characteristic, complemented
45	#11719423	—	2	1	no	—
46	#11719423	C₂²	1	1	yes	characteristic, complemented
47	#11719420	—	2	1	no	—
48	#11719420	C₂²	1	1	yes	characteristic
49	#11719384	—	2	1	no	—
50	#11719381	—	2	1	no	—
51	#11719374	—	2	1	no	—
52	#11719373	—	2	1	no	—
53	#11719320	—	2	1	no	—
54	#11719319	C₂²	1	1	yes	characteristic, complemented
55	#11719316	C₂²	1	1	yes	characteristic, complemented
56	#11719315	—	2	1	no	—
57	#11719312	—	2	1	no	—
58	#11719312	C₂²	1	1	yes	characteristic
59	#11719312	C₂²	1	1	yes	characteristic
60	#11719311	—	2	1	no	—
61	#11719311	C₂²	1	1	yes	characteristic
62	D₁₃×#121	C₂²	1	1	yes	characteristic
63	#11719304	—	2	1	no	—
64	#11719304	C₂²	1	1	yes	characteristic, complemented
65	#11719303	—	2	1	no	—
66	#11719303	C₂²	1	1	yes	characteristic, complemented
67	#11719281	C₂²	1	1	yes	characteristic, complemented
68	#11719277	C₂²	1	1	yes	characteristic
69	#11719270	C₂²	1	1	yes	characteristic, complemented
70	#11719263	C₂²	1	1	yes	characteristic, complemented
71	#11719257	—	2	1	no	—
72	#11719257	C₂²	1	1	yes	characteristic, complemented
73	#11719252	—	2	1	no	—
74	#11719252	C₂²	1	1	yes	characteristic
75	#11719250	C₂²	1	1	yes	characteristic
76	#11719237	C₂²	1	1	yes	characteristic, complemented
77	#11719235	C₂²	1	1	yes	characteristic, complemented
78	#11719233	—	2	1	no	—
79	#11719232	—	2	1	no	—
80	#11719228	C₂²	1	1	yes	characteristic
81	D₁₃×#117	C₂²	1	1	yes	characteristic
82	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic
100	#11718831	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718820	C₂²	1	1	yes	characteristic, complemented
103	#11718819	C₂²	1	1	yes	characteristic
104	#11718819	C₂²	1	1	yes	characteristic, complemented
105	#11718818	C₂²	1	1	yes	characteristic, complemented
106	#11718814	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718776	C₂²	1	1	yes	characteristic, complemented
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	#11718774	C₂²	1	1	yes	characteristic, complemented
111	#11718772	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
114	#11718755	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718733	C₂²	1	1	yes	characteristic, complemented
117	#11718732	C₂²	1	1	yes	characteristic, complemented
118	#11718702	C₂²	1	1	yes	characteristic, complemented
119	#11718701	C₂²	1	1	yes	characteristic, complemented
120	#11718700	C₂²	1	1	yes	characteristic, complemented
121	#11718700	C₂²	1	1	yes	characteristic, complemented
122	#11718699	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718694	C₂²	1	1	yes	characteristic, complemented
126	#11718687	C₂²	1	1	yes	characteristic, complemented
127	#11718683	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718677	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718663	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718547	C₂²	1	1	yes	characteristic, complemented
136	#11718545	C₂²	1	1	yes	characteristic, complemented
137	#11718544	C₂²	1	1	yes	characteristic, complemented
138	#11718543	C₂²	1	1	yes	characteristic, complemented
139	#11718542	C₂²	1	1	yes	characteristic
140	#11718541	C₂²	1	1	yes	characteristic
141	#11718538	C₂²	1	1	yes	characteristic, complemented
142	#11718536	C₂²	1	1	yes	characteristic, complemented
143	#11718527	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718505	C₂²	1	1	yes	characteristic, complemented
148	#11718500	C₂²	1	1	yes	characteristic
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718472	C₂²	1	1	yes	characteristic
153	#11718467	C₂²	1	1	yes	characteristic, complemented
154	#11718464	C₂²	1	1	yes	characteristic, complemented
155	#11718464	C₂²	1	1	yes	characteristic, complemented
156	#11718463	C₂²	1	1	yes	characteristic
157	#11718463	C₂²	1	1	yes	characteristic
158	#11718463	C₂²	1	1	yes	characteristic, complemented
159	D₁₃×#103	C₂²	1	1	yes	characteristic
160	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
161	#11718457	C₂²	1	1	yes	characteristic, complemented
162	#11718452	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718443	C₂²	1	1	yes	characteristic, complemented
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718443	C₂²	1	1	yes	characteristic, complemented
168	#11718442	C₂²	1	1	yes	characteristic
169	#11718442	C₂²	1	1	yes	characteristic, complemented
170	#11718441	C₂²	1	1	yes	characteristic, complemented
171	#11718440	C₂²	1	1	yes	characteristic, complemented
172	#11718438	C₂²	1	1	yes	characteristic, complemented
173	#11718438	C₂²	1	1	yes	characteristic, complemented
174	#11718435	C₂²	1	1	yes	characteristic, complemented
175	#11718433	C₂²	1	1	yes	characteristic
176	#11718433	C₂²	1	1	yes	characteristic
177	#11718433	C₂²	1	1	yes	characteristic, complemented
178	#11718432	C₂²	1	1	yes	characteristic
179	#11718432	C₂²	1	1	yes	characteristic, complemented
180	#11718432	C₂²	1	1	yes	characteristic, complemented
181	#11718432	C₂²	1	1	yes	characteristic, complemented
182	#11718431	C₂²	1	1	yes	characteristic
183	#11718431	C₂²	1	1	yes	characteristic
184	#11718431	C₂²	1	1	yes	characteristic
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	#11718429	C₂²	1	1	yes	characteristic, complemented
187	#11718426	C₂²	1	1	yes	characteristic, complemented
188	#11718425	C₂²	1	1	yes	characteristic, complemented
189	#11718421	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718396	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic
202	#11718349	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#88257	—	2	4	no	—
206	#88257	—	4	2	no	—
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	—	2	1	no	—
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#127	—	2	1	no	—
239	C₁₃×#127	C₂³	1	1	yes	characteristic
240	C₁₃×#124	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#121	—	2	1	no	—
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	#88200	—	2	1	no	—
257	#88200	—	2	1	no	—
258	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
259	#88198	—	2	1	no	—
260	C₂×#6106	C₂³	1	1	yes	characteristic
261	#88194	—	2	1	no	—
262	#88194	—	2	1	no	—
263	#88194	—	2	1	no	—
264	#88194	—	2	1	no	—
265	#88194	—	2	1	no	—
266	#88194	C₂³	1	1	yes	characteristic
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	D₄	1	1	yes	characteristic
277	#88192	—	2	1	no	—
278	#88192	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	C₂³	1	1	yes	characteristic
281	#88192	C₂³	1	1	yes	characteristic
282	#88192	C₂³	1	1	yes	characteristic
283	#88192	C₂³	1	1	yes	characteristic
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	D₄	1	1	yes	characteristic
290	#88190	—	2	1	no	—
291	#88190	C₂³	1	1	yes	characteristic
292	#88189	—	2	1	no	—
293	#88189	—	2	1	no	—
294	D₄×Dic₁₃	—	2	1	no	—
295	D₄×Dic₁₃	—	2	1	no	—
296	D₄×Dic₁₃	—	2	1	no	—
297	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×#6105	C₂³	1	1	yes	characteristic
299	C₂×#6105	C₂³	1	1	yes	characteristic
300	C₂×#6104	C₂³	1	1	yes	characteristic
301	C₂×#6104	C₂³	1	1	yes	characteristic
302	C₂×#6104	C₂³	1	1	yes	characteristic
303	#88184	—	2	1	no	—
304	#88184	C₂³	1	1	yes	characteristic
305	#88184	C₂³	1	1	yes	characteristic
306	#88184	C₂³	1	1	yes	characteristic
307	#88183	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	C₄×C₂²⋊D₁₃	—	2	1	no	—
311	C₄×C₂²⋊D₁₃	—	2	1	no	—
312	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
314	C₂×#6103	—	2	1	no	—
315	#88180	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
317	#88178	—	2	1	no	—
318	#88178	C₂³	1	1	yes	characteristic
319	C₂×#6099	C₂³	1	1	yes	characteristic
320	C₂²×#1055	C₂³	1	1	yes	characteristic
321	SD₁₆×D₁₃	—	2	4	no	—
322	#88165	—	4	2	no	—
323	D₈×D₁₃	—	4	2	no	—
324	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
325	C₂×#6095	C₂³	1	1	yes	characteristic
326	C₂×#6095	C₂³	1	1	yes	characteristic
327	#88155	—	4	2	no	—
328	C₂×#6094	—	4	2	no	—
329	C₂×#6094	C₂³	1	1	yes	characteristic
330	C₂×#6094	C₂³	1	1	yes	characteristic
331	C₂×#6094	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×#6094	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
337	#88152	—	2	1	no	—
338	#88151	—	2	1	no	—
339	#88151	C₂³	1	1	yes	characteristic
340	#88150	—	2	1	no	—
341	#88150	—	2	1	no	—
342	#88150	D₄	1	1	yes	characteristic
343	#88149	—	2	1	no	—
344	#88149	C₂³	1	1	yes	characteristic
345	#88149	C₂³	1	1	yes	characteristic
346	#88149	C₂³	1	1	yes	characteristic
347	#88148	—	2	1	no	—
348	#88148	—	2	1	no	—
349	#88148	D₄	1	1	yes	characteristic
350	#88147	C₂³	1	1	yes	characteristic
351	#88146	—	2	1	no	—
352	#88146	C₂³	1	1	yes	characteristic
353	#88146	C₂³	1	1	yes	characteristic
354	#88146	C₂³	1	1	yes	characteristic
355	#88146	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
357	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
358	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
359	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
360	#88144	C₂³	1	1	yes	characteristic
361	#88143	—	2	1	no	—
362	#88142	C₂³	1	1	yes	characteristic
363	#88141	—	2	1	no	—
364	#88141	C₂³	1	1	yes	characteristic
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
369	#88139	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	D₄	1	1	yes	characteristic
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88137	D₄	1	1	yes	characteristic
381	#88136	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88136	D₄	1	1	yes	characteristic
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88133	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	D₄	1	1	yes	characteristic
400	#88131	—	2	1	no	—
401	#88130	—	2	1	no	—
402	#88129	—	2	1	no	—
403	#88129	—	2	1	no	—
404	#88129	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	—	2	1	no	—
406	C₄×D₅₂	—	2	1	no	—
407	C₄×D₅₂	—	2	1	no	—
408	C₄×D₅₂	C₂³	1	1	yes	characteristic
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	#88126	—	2	1	no	—
411	#88126	—	2	1	no	—
412	#88126	—	2	1	no	—
413	#88126	C₂³	1	1	yes	characteristic
414	C₄²×D₁₃	—	2	1	no	—
415	#88124	C₂³	1	1	yes	characteristic
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61189	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₁₃×#41	—	2	2	no	—
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
540	#6131	—	2	2	no	—
541	#6131	—	4	1	no	—
542	#6131	—	8	2	no	—
543	Q₈×D₁₃	—	2	2	no	—
544	Q₈×D₁₃	—	2	2	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	Q₈×D₁₃	#41	1	4	yes	complemented
547	#6129	—	2	2	no	—
548	#6129	—	2	2	no	—
549	#6129	—	2	2	no	—
550	#6129	—	2	2	no	—
551	#6129	—	4	1	no	—
552	#6129	—	4	1	no	—
553	#6129	—	4	4	no	—
554	#6129	—	4	4	no	—
555	#6129	—	4	4	no	—
556	#6129	—	8	2	no	—
557	D₄×D₁₃	—	2	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	2	2	no	—
560	D₄×D₁₃	—	2	2	no	—
561	D₄×D₁₃	—	4	4	no	—
562	D₄×D₁₃	—	8	2	no	—
563	#6127	—	2	2	no	—
564	#6127	—	2	2	no	—
565	#6127	—	2	2	no	—
566	#6127	—	4	4	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	4	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	—	2	1	no	—
572	C₂×D₅₂	—	2	1	no	—
573	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
574	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
575	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
576	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	2	no	—
579	C₂×C₄×D₁₃	—	2	2	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	4	4	no	—
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	2	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	4	1	no	—
601	C₂×Dic₂₆	—	4	4	no	—
602	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
603	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×SD₁₆	—	2	2	no	—
606	C₁₃×D₈	—	4	1	no	—
607	C₁₃×D₈	—	4	1	no	—
608	C₂×C₈×C₁₃	—	4	1	no	—
609	C₂×C₈×C₁₃	—	4	1	no	—
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₁₃	—	2	1	no	—
631	C₄²×C₁₃	—	2	1	no	—
632	C₄²×C₁₃	—	2	1	no	—
633	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
645	#6106	—	2	2	no	—
646	#6105	—	2	2	no	—
647	#6105	—	4	1	no	—
648	#6104	—	4	1	no	—
649	#6104	—	4	1	no	—
650	#6104	—	4	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	#6103	C₂×D₄	1	1	yes	characteristic
670	#6103	C₂×D₄	1	1	yes	characteristic
671	#6103	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	—	2	1	no	—
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	C₂×D₄	1	1	yes	characteristic
693	#6101	C₂×D₄	1	1	yes	characteristic
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6099	—	4	1	no	—
706	C₂×#1055	—	4	1	no	—
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	D₁₀₄	—	4	1	no	—
712	#6095	—	2	2	no	—
713	#6095	—	4	1	no	—
714	#6094	—	2	2	no	—
715	#6094	—	2	2	no	—
716	#6094	—	4	1	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	4	1	no	—
722	#3494	—	13	1	no	—
723	#3487	—	13	1	no	—
724	#3332	—	13	1	no	—
725	#3332	—	13	1	no	—
726	#3326	—	13	1	no	—
727	#3326	—	13	1	no	—
728	#3321	—	13	1	no	—
729	#3321	—	13	1	no	—
730	#3309	—	13	1	no	—
731	#3309	—	13	1	no	—
732	#3309	—	13	1	no	—
733	#3309	—	13	1	no	—
734	#3308	—	13	1	no	—
735	#3308	—	13	1	no	—
736	#3305	—	13	1	no	—
737	#3305	D₁₃	1	1	yes	characteristic, complemented
738	#3301	—	13	1	no	—
739	#3301	—	13	1	no	—
740	#3136	—	13	1	no	—
741	#3096	—	13	1	no	—
742	#3091	—	13	1	no	—
743	#3082	—	13	1	no	—
744	#3058	—	13	1	no	—
745	#3055	—	13	1	no	—
746	#3041	—	13	1	no	—
747	#3010	—	13	1	no	—
748	C₂×#449	—	13	1	no	—
749	#2949	—	13	1	no	—
750	#2933	—	13	1	no	—
751	#2898	—	13	1	no	—
752	#2896	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	—	2	1	no	—
755	C₂³×C₁₃	—	2	1	no	—
756	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂²×D₁₃	—	2	2	no	—
759	C₂²×D₁₃	—	2	1	no	—
760	C₂²×D₁₃	—	2	1	no	—
761	C₂²×D₁₃	—	4	1	no	—
762	C₂²×D₁₃	—	4	1	no	—
763	C₂²×D₁₃	—	4	2	no	—
764	C₂²×D₁₃	—	4	2	no	—
765	C₂²×D₁₃	—	8	1	no	—
766	C₂²×D₁₃	—	8	1	no	—
767	C₂²×D₁₃	—	8	1	no	—
768	C₂²×D₁₃	—	8	1	no	—
769	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
772	Q₈×C₁₃	—	2	1	no	—
773	Q₈×C₁₃	—	8	1	no	—
774	Q₈×C₁₃	C₂×#41	1	2	yes	—
775	D₄×C₁₃	—	2	1	no	—
776	D₄×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	4	1	no	—
782	D₄×C₁₃	—	4	2	no	—
783	D₄×C₁₃	—	4	2	no	—
784	D₄×C₁₃	—	8	1	no	—
785	D₄×C₁₃	—	8	1	no	—
786	D₄×C₁₃	—	8	1	no	—
787	D₄×C₁₃	—	8	1	no	—
788	D₄×C₁₃	—	8	1	no	—
789	D₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	4	2	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
807	C₂²⋊D₁₃	—	2	2	no	—
808	C₂²⋊D₁₃	—	2	2	no	—
809	C₂²⋊D₁₃	—	4	1	no	—
810	C₂²⋊D₁₃	—	4	1	no	—
811	C₂²⋊D₁₃	—	4	2	no	—
812	C₂²⋊D₁₃	—	4	2	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	4	2	no	—
815	C₂²⋊D₁₃	—	4	2	no	—
816	C₂²⋊D₁₃	—	4	2	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	8	1	no	—
819	C₂²⋊D₁₃	—	8	1	no	—
820	C₂²⋊D₁₃	—	8	1	no	—
821	C₂²⋊D₁₃	—	8	1	no	—
822	C₂²⋊D₁₃	—	8	1	no	—
823	C₂²⋊D₁₃	—	8	1	no	—
824	C₂²⋊D₁₃	—	8	1	no	—
825	C₂²⋊D₁₃	—	8	1	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	2	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	4	2	no	—
834	C₂×Dic₁₃	—	4	2	no	—
835	C₂×Dic₁₃	—	4	2	no	—
836	C₂×Dic₁₃	—	4	2	no	—
837	C₂×Dic₁₃	—	8	1	no	—
838	C₂×Dic₁₃	—	8	1	no	—
839	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	D₅₂	—	2	2	no	—
845	D₅₂	—	2	1	no	—
846	D₅₂	—	2	1	no	—
847	D₅₂	—	2	1	no	—
848	D₅₂	—	2	1	no	—
849	D₅₂	—	4	1	no	—
850	D₅₂	—	4	2	no	—
851	D₅₂	—	4	2	no	—
852	D₅₂	—	8	1	no	—
853	D₅₂	—	8	1	no	—
854	C₄×D₁₃	—	2	2	no	—
855	C₄×D₁₃	—	2	4	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	2	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	8	1	no	—
866	C₄×D₁₃	—	8	1	no	—
867	C₄×D₁₃	—	8	1	no	—
868	C₄×D₁₃	—	8	1	no	—
869	C₄×D₁₃	—	8	1	no	—
870	C₄×D₁₃	C₂×#41	1	2	yes	—
871	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
872	Dic₂₆	—	2	1	no	—
873	Dic₂₆	—	2	4	no	—
874	Dic₂₆	—	2	2	no	—
875	Dic₂₆	—	2	1	no	—
876	Dic₂₆	—	2	1	no	—
877	Dic₂₆	—	4	2	no	—
878	Dic₂₆	—	4	2	no	—
879	Dic₂₆	—	8	1	no	—
880	Dic₂₆	C₂×#41	1	2	yes	—
881	C₈×C₁₃	—	2	1	no	—
882	C₈×C₁₃	—	2	1	no	—
883	C₈×C₁₃	—	2	1	no	—
884	C₈×C₁₃	—	2	1	no	—
885	#1055	—	2	1	no	—
886	#1055	—	2	1	no	—
887	#1055	—	2	1	no	—
888	#1055	—	2	1	no	—
889	C₂×2₋¹⁺⁴	—	13	1	no	—
890	C₂²×#41	—	13	1	no	—
891	C₂×AGL(1,ℤ/8)	—	13	1	no	—
892	C₂²×SD₁₆	—	13	1	no	—
893	C₂²×D₈	—	13	1	no	—
894	C₂×#131	—	13	1	no	—
895	C₂²×M₁₆	—	13	1	no	—
896	#555	—	13	1	no	—
897	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
898	#553	—	13	1	no	—
899	#553	—	13	1	no	—
900	#553	—	13	1	no	—
901	#553	—	13	1	no	—
902	#551	—	26	1	no	—
903	#551	—	26	1	no	—
904	#550	—	13	1	no	—
905	#550	—	13	1	no	—
906	#550	—	13	1	no	—
907	#550	—	26	1	no	—
908	#550	—	26	1	no	—
909	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
910	#548	—	13	1	no	—
911	#548	—	13	1	no	—
912	#548	—	13	1	no	—
913	#548	—	13	1	no	—
914	#548	—	26	1	no	—
915	#548	—	26	1	no	—
916	#547	—	13	1	no	—
917	#547	—	13	1	no	—
918	#546	—	26	1	no	—
919	#546	—	26	1	no	—
920	#544	—	13	1	no	—
921	#542	—	26	1	no	—
922	#540	—	26	1	no	—
923	#535	—	13	1	no	—
924	#535	—	13	1	no	—
925	#535	—	13	1	no	—
926	#535	—	26	1	no	—
927	#535	—	26	1	no	—
928	#532	—	26	1	no	—
929	#529	—	26	1	no	—
930	#525	—	13	1	no	—
931	#525	—	13	1	no	—
932	#525	—	26	1	no	—
933	#525	—	26	1	no	—
934	C₂×#121	—	13	1	no	—
935	#520	—	13	1	no	—
936	#519	—	13	1	no	—
937	#518	—	13	1	no	—
938	C₂×#117	—	13	1	no	—
939	#490	—	13	1	no	—
940	#490	—	13	1	no	—
941	#489	—	13	1	no	—
942	#489	—	13	1	no	—
943	#488	—	13	1	no	—
944	#488	—	13	1	no	—
945	#486	—	13	1	no	—
946	#486	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#485	—	13	1	no	—
948	#485	—	13	1	no	—
949	#484	—	13	1	no	—
950	#483	—	13	1	no	—
951	#482	—	13	1	no	—
952	#482	—	13	1	no	—
953	#482	—	13	1	no	—
954	#482	—	13	1	no	—
955	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#481	—	13	1	no	—
958	#481	—	13	1	no	—
959	#481	—	13	1	no	—
960	#480	—	13	1	no	—
961	#480	—	13	1	no	—
962	#480	—	13	1	no	—
963	#479	—	13	1	no	—
964	#479	—	13	1	no	—
965	#479	—	13	1	no	—
966	#479	—	13	1	no	—
967	#477	—	13	1	no	—
968	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#475	—	13	1	no	—
970	#475	—	13	1	no	—
971	#469	—	13	1	no	—
972	#469	—	13	1	no	—
973	#469	—	13	1	no	—
974	#469	—	13	1	no	—
975	#469	—	13	1	no	—
976	#469	—	13	1	no	—
977	#468	—	13	1	no	—
978	#468	—	13	1	no	—
979	#466	—	13	1	no	—
980	#466	—	13	1	no	—
981	#466	—	13	1	no	—
982	#466	—	13	1	no	—
983	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#465	—	13	1	no	—
986	#465	—	13	1	no	—
987	#463	—	13	1	no	—
988	#463	—	13	1	no	—
989	#463	—	13	1	no	—
990	#463	—	13	1	no	—
991	#459	—	13	1	no	—
992	#459	—	13	1	no	—
993	#459	—	13	1	no	—
994	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#449	—	13	1	no	—
996	#449	—	13	1	no	—
997	#449	—	13	1	no	—
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#449	—	13	1	no	—
1005	#449	C₂×D₁₃	1	1	yes	characteristic
1006	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1007	#448	—	13	1	no	—
1008	#448	—	13	1	no	—
1009	#448	—	13	1	no	—
1010	#448	—	13	1	no	—
1011	#440	—	13	1	no	—
1012	#440	—	13	1	no	—
1013	#440	—	13	1	no	—
1014	#440	—	13	1	no	—
1015	C₄×SD₁₆	—	13	1	no	—
1016	C₄×SD₁₆	—	13	1	no	—
1017	C₄×SD₁₆	—	13	1	no	—
1018	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	#436	—	13	1	no	—
1020	#436	—	13	1	no	—
1021	#435	—	13	1	no	—
1022	#435	—	13	1	no	—
1023	#435	—	13	1	no	—
1024	#435	—	13	1	no	—
1025	C₈×D₄	—	13	1	no	—
1026	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#428	—	13	1	no	—
1028	#427	—	13	1	no	—
1029	#427	—	13	1	no	—
1030	#424	—	13	1	no	—
1031	#419	—	13	1	no	—
1032	#419	—	13	1	no	—
1033	#419	—	13	1	no	—
1034	#419	—	13	1	no	—
1035	#418	—	13	1	no	—
1036	#418	—	13	1	no	—
1037	#418	—	13	1	no	—
1038	#417	—	13	1	no	—
1039	#417	—	13	1	no	—
1040	#417	—	13	1	no	—
1041	#417	—	13	1	no	—
1042	#417	—	13	1	no	—
1043	#417	—	13	1	no	—
1044	#417	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	—	13	1	no	—
1047	#416	—	13	1	no	—
1048	#416	—	13	1	no	—
1049	#416	—	13	1	no	—
1050	#416	—	13	1	no	—
1051	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	C₂×#103	—	13	1	no	—
1054	C₂×#103	—	13	1	no	—
1055	C₂×#103	—	13	1	no	—
1056	C₂×#102	—	13	1	no	—
1057	#408	—	13	1	no	—
1058	C₂×C₂²⋊C₈	—	13	1	no	—
1059	#405	—	13	1	no	—
1060	C₂²×C₁₃	—	2	1	no	—
1061	C₂²×C₁₃	—	2	1	no	—
1062	C₂²×C₁₃	—	2	1	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	4	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	1	no	—
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	2	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	1	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	8	2	no	—
1091	C₂×D₁₃	—	8	4	no	—
1092	C₂×D₁₃	—	16	2	no	—
1093	C₂×D₁₃	#546	1	2	yes	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	2	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1104	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1105	Dic₁₃	—	2	1	no	—
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	2	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	#546	1	2	yes	—
1116	2₋¹⁺⁴	—	26	4	no	—
1117	2₋¹⁺⁴	—	52	2	no	—
1118	C₂×#41	—	13	1	no	—
1119	C₂×#41	—	13	1	no	—
1120	C₂×#41	—	13	1	no	—
1121	C₂×#41	—	13	1	no	—
1122	C₂×#41	—	13	1	no	—
1123	C₂×#41	—	13	1	no	—
1124	C₂×#41	—	26	1	no	—
1125	C₂×#41	—	26	1	no	—
1126	C₂×#41	—	26	1	no	—
1127	C₂×#41	—	26	1	no	—
1128	C₂×#41	—	26	1	no	—
1129	C₂×#41	—	26	1	no	—
1130	C₂×#41	—	26	1	no	—
1131	C₂×#41	—	26	4	no	—
1132	C₂×#41	—	52	2	no	—
1133	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂²×Q₈	—	13	1	no	—
1136	C₂²×Q₈	—	13	1	no	—
1137	C₂²×Q₈	—	13	1	no	—
1138	C₂²×Q₈	—	26	1	no	—
1139	C₂²×D₄	—	13	1	no	—
1140	C₂²×D₄	—	13	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂²×D₄	—	26	1	no	—
1143	C₂³×C₄	—	13	1	no	—
1144	C₂³×C₄	—	26	1	no	—
1145	AGL(1,ℤ/8)	—	52	2	no	—
1146	C₂×SD₁₆	—	13	1	no	—
1147	C₂×SD₁₆	—	13	1	no	—
1148	C₂×SD₁₆	—	13	1	no	—
1149	C₂×SD₁₆	—	13	1	no	—
1150	C₂×SD₁₆	—	13	1	no	—
1151	C₂×SD₁₆	—	26	4	no	—
1152	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂×D₈	—	13	1	no	—
1154	C₂×D₈	—	13	1	no	—
1155	C₂×D₈	—	13	1	no	—
1156	C₂×D₈	—	13	1	no	—
1157	C₂×D₈	—	52	2	no	—
1158	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1160	#131	—	52	2	no	—
1161	C₂×M₁₆	—	13	1	no	—
1162	C₂×M₁₆	—	13	1	no	—
1163	C₂×M₁₆	—	13	1	no	—
1164	C₂×M₁₆	—	13	1	no	—
1165	C₂×M₁₆	—	13	1	no	—
1166	C₂×M₁₆	—	13	1	no	—
1167	C₂×M₁₆	—	52	2	no	—
1168	C₂²×C₈	—	13	1	no	—
1169	C₂²×C₈	—	13	1	no	—
1170	C₂²×C₈	—	13	1	no	—
1171	C₂²×C₈	—	13	1	no	—
1172	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1174	C₄⋊Q₈	—	13	1	no	—
1175	C₄⋊Q₈	—	26	1	no	—
1176	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1177	#127	—	2	1	no	—
1178	#127	—	13	1	no	—
1179	#127	—	26	1	no	—
1180	#127	—	26	1	no	—
1181	#127	—	26	1	no	—
1182	#127	—	26	1	no	—
1183	#127	—	26	1	no	—
1184	#127	C₂²×D₁₃	1	1	yes	characteristic
1185	#126	—	26	1	no	—
1186	#126	—	26	1	no	—
1187	#126	—	26	1	no	—
1188	#126	—	26	1	no	—
1189	#125	—	13	1	no	—
1190	#125	—	13	1	no	—
1191	#125	—	26	1	no	—
1192	#124	—	2	1	no	—
1193	#124	—	2	1	no	—
1194	#124	—	13	1	no	—
1195	#124	—	13	1	no	—
1196	#124	—	26	1	no	—
1197	#124	—	26	1	no	—
1198	#124	—	26	1	no	—
1199	#124	—	26	1	no	—
1200	#124	—	26	1	no	—
1201	#124	—	26	1	no	—
1202	#124	—	26	1	no	—
1203	#124	—	26	1	no	—
1204	#123	—	13	1	no	—
1205	#123	—	13	1	no	—
1206	#123	—	26	1	no	—
1207	#123	—	26	1	no	—
1208	#123	—	26	1	no	—
1209	#123	—	26	1	no	—
1210	#123	—	26	1	no	—
1211	#123	—	26	1	no	—
1212	#123	—	26	1	no	—
1213	#123	—	26	1	no	—
1214	#123	—	26	1	no	—
1215	C₂²⋊Q₈	—	13	1	no	—
1216	C₂²⋊Q₈	—	13	1	no	—
1217	C₂²⋊Q₈	—	13	1	no	—
1218	C₂²⋊Q₈	—	13	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	C₂²⋊Q₈	—	26	1	no	—
1224	C₂²⋊Q₈	—	26	1	no	—
1225	C₂²⋊Q₈	—	26	1	no	—
1226	C₂²⋊Q₈	—	26	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	13	1	no	—
1231	#121	—	13	1	no	—
1232	#121	—	13	1	no	—
1233	#121	—	13	1	no	—
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	13	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	C₂²×D₁₃	1	1	yes	characteristic
1262	#121	C₂²×D₁₃	1	1	yes	characteristic
1263	#121	C₂²×D₁₃	1	1	yes	characteristic
1264	#121	C₂²×D₁₃	1	1	yes	characteristic
1265	#120	—	13	1	no	—
1266	#120	—	13	1	no	—
1267	#120	—	26	1	no	—
1268	#120	—	26	1	no	—
1269	#120	—	26	1	no	—
1270	#120	—	26	1	no	—
1271	#120	—	26	1	no	—
1272	#120	—	26	1	no	—
1273	#120	—	26	1	no	—
1274	C₄×Q₈	—	13	1	no	—
1275	C₄×Q₈	—	13	1	no	—
1276	C₄×Q₈	—	13	1	no	—
1277	C₄×Q₈	—	26	1	no	—
1278	C₄×Q₈	—	26	1	no	—
1279	C₄×Q₈	—	26	1	no	—
1280	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	13	1	no	—
1283	C₄×D₄	—	13	1	no	—
1284	C₄×D₄	—	13	1	no	—
1285	C₄×D₄	—	13	1	no	—
1286	C₄×D₄	—	13	1	no	—
1287	C₄×D₄	—	13	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	—	26	1	no	—
1292	C₄×D₄	—	26	1	no	—
1293	C₄×D₄	—	26	1	no	—
1294	C₄×D₄	—	26	1	no	—
1295	C₄×D₄	—	26	1	no	—
1296	C₄×D₄	—	26	1	no	—
1297	C₄×D₄	—	26	1	no	—
1298	C₄×D₄	—	26	1	no	—
1299	C₄×D₄	—	26	1	no	—
1300	C₄×D₄	—	26	1	no	—
1301	C₄×D₄	—	26	1	no	—
1302	C₄×D₄	—	26	1	no	—
1303	C₄×D₄	—	26	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1307	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1308	#117	—	2	1	no	—
1309	#117	—	13	1	no	—
1310	#117	—	13	1	no	—
1311	#117	—	13	1	no	—
1312	#117	—	13	1	no	—
1313	#117	—	13	1	no	—
1314	#117	—	13	1	no	—
1315	#117	—	26	1	no	—
1316	#117	—	26	1	no	—
1317	#117	—	26	1	no	—
1318	#117	—	26	1	no	—
1319	#117	—	26	1	no	—
1320	#117	C₂²×D₁₃	1	1	yes	characteristic
1321	#117	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	13	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	13	1	no	—
1326	C₂×C₄⋊C₄	—	13	1	no	—
1327	C₂×C₂²⋊C₄	—	26	1	no	—
1328	C₂×C₂²⋊C₄	—	26	1	no	—
1329	C₂×C₂²⋊C₄	—	26	1	no	—
1330	C₂×C₂²⋊C₄	—	26	1	no	—
1331	C₂×C₄²	—	26	1	no	—
1332	#107	—	13	1	no	—
1333	#107	—	13	1	no	—
1334	#107	—	13	1	no	—
1335	#107	—	13	1	no	—
1336	#107	C₂²×D₁₃	1	1	yes	characteristic
1337	#107	C₂²×D₁₃	1	1	yes	characteristic
1338	#106	—	13	1	no	—
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	#106	C₂²×D₁₃	1	1	yes	characteristic
1344	C₄⋊C₈	—	13	1	no	—
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	C₂²×D₁₃	1	1	yes	characteristic
1364	#103	C₂²×D₁₃	1	1	yes	characteristic
1365	#103	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	C₂²×D₁₃	1	1	yes	characteristic
1382	#102	C₂²×D₁₃	1	1	yes	characteristic
1383	#102	C₂²×D₁₃	1	1	yes	characteristic
1384	#102	C₂²×D₁₃	1	1	yes	characteristic
1385	#102	C₂²×D₁₃	1	1	yes	characteristic
1386	#102	C₂²×D₁₃	1	1	yes	characteristic
1387	#102	C₂²×D₁₃	1	1	yes	characteristic
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	—	13	1	no	—
1394	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1395	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1396	#97	—	13	1	no	—
1397	#97	—	13	1	no	—
1398	C₄×C₈	—	13	1	no	—
1399	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1400	C₂×C₁₃	—	4	1	no	—
1401	C₂×C₁₃	—	4	1	no	—
1402	C₂×C₁₃	—	8	1	no	—
1403	C₂×C₁₃	—	8	1	no	—
1404	C₂×C₁₃	—	8	1	no	—
1405	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1406	C₂×C₁₃	#3584	1	1	yes	characteristic
1407	C₂×C₁₃	#3585	1	1	yes	characteristic
1408	D₁₃	—	2	2	no	—
1409	D₁₃	—	4	1	no	—
1410	D₁₃	—	4	1	no	—
1411	D₁₃	—	8	1	no	—
1412	D₁₃	—	8	1	no	—
1413	C₂⁴	—	13	1	no	—
1414	C₂⁴	—	26	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	26	2	no	—
1421	#41	—	26	2	no	—
1422	#41	—	26	2	no	—
1423	#41	—	26	2	no	—
1424	#41	—	26	2	no	—
1425	#41	—	26	2	no	—
1426	#41	—	26	2	no	—
1427	#41	—	26	2	no	—
1428	#41	—	52	1	no	—
1429	#41	—	52	4	no	—
1430	#41	—	52	4	no	—
1431	#41	—	52	1	no	—
1432	#41	—	52	1	no	—
1433	#41	—	52	4	no	—
1434	#41	—	52	4	no	—
1435	#41	—	52	1	no	—
1436	#41	—	52	4	no	—
1437	#41	—	104	2	no	—
1438	#41	—	104	2	no	—
1439	C₂×Q₈	—	2	1	no	—
1440	C₂×Q₈	—	13	1	no	—
1441	C₂×Q₈	—	13	4	no	—
1442	C₂×Q₈	—	13	1	no	—
1443	C₂×Q₈	—	13	1	no	—
1444	C₂×Q₈	—	26	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	1	no	—
1447	C₂×Q₈	—	26	2	no	—
1448	C₂×Q₈	—	26	2	no	—
1449	C₂×Q₈	—	26	1	no	—
1450	C₂×Q₈	—	26	2	no	—
1451	C₂×Q₈	—	52	1	no	—
1452	C₂×Q₈	—	52	4	no	—
1453	C₂×Q₈	—	52	1	no	—
1454	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	13	1	no	—
1464	C₂×D₄	—	13	1	no	—
1465	C₂×D₄	—	13	1	no	—
1466	C₂×D₄	—	13	1	no	—
1467	C₂×D₄	—	13	1	no	—
1468	C₂×D₄	—	13	1	no	—
1469	C₂×D₄	—	13	1	no	—
1470	C₂×D₄	—	13	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	2	no	—
1476	C₂×D₄	—	26	2	no	—
1477	C₂×D₄	—	26	2	no	—
1478	C₂×D₄	—	26	2	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	52	4	no	—
1495	C₂×D₄	—	104	2	no	—
1496	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1497	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1498	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	13	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	13	1	no	—
1506	C₂²×C₄	—	13	1	no	—
1507	C₂²×C₄	—	13	1	no	—
1508	C₂²×C₄	—	13	1	no	—
1509	C₂²×C₄	—	26	2	no	—
1510	C₂²×C₄	—	26	2	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	52	4	no	—
1528	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	SD₁₆	—	2	2	no	—
1531	SD₁₆	—	26	2	no	—
1532	SD₁₆	—	26	2	no	—
1533	SD₁₆	—	26	2	no	—
1534	SD₁₆	—	52	1	no	—
1535	SD₁₆	—	52	1	no	—
1536	D₈	—	4	1	no	—
1537	D₈	—	4	1	no	—
1538	D₈	—	52	1	no	—
1539	D₈	—	52	1	no	—
1540	D₈	—	52	1	no	—
1541	D₈	—	52	1	no	—
1542	M₁₆	—	26	2	no	—
1543	M₁₆	—	26	2	no	—
1544	M₁₆	—	52	1	no	—
1545	M₁₆	—	52	1	no	—
1546	M₁₆	—	52	1	no	—
1547	M₁₆	—	52	1	no	—
1548	C₂×C₈	—	4	1	no	—
1549	C₂×C₈	—	4	1	no	—
1550	C₂×C₈	—	13	1	no	—
1551	C₂×C₈	—	13	1	no	—
1552	C₂×C₈	—	13	1	no	—
1553	C₂×C₈	—	13	1	no	—
1554	C₂×C₈	—	26	2	no	—
1555	C₂×C₈	—	26	2	no	—
1556	C₂×C₈	—	52	1	no	—
1557	C₂×C₈	—	52	1	no	—
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	13	1	no	—
1604	C₂²⋊C₄	—	13	1	no	—
1605	C₂²⋊C₄	—	13	1	no	—
1606	C₂²⋊C₄	—	13	1	no	—
1607	C₂²⋊C₄	—	13	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	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1633	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1634	C₄²	—	2	1	no	—
1635	C₄²	—	2	1	no	—
1636	C₄²	—	2	1	no	—
1637	C₄²	—	13	1	no	—
1638	C₄²	—	26	1	no	—
1639	C₄²	—	26	1	no	—
1640	C₄²	—	26	1	no	—
1641	C₄²	—	26	1	no	—
1642	C₄²	—	26	1	no	—
1643	C₄²	—	26	1	no	—
1644	C₄²	—	26	1	no	—
1645	C₄²	—	26	1	no	—
1646	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1647	C₁₃	#61189	1	1	yes	characteristic, complemented, Sylow
1648	C₂³	—	2	1	no	—
1649	C₂³	—	2	1	no	—
1650	C₂³	—	2	1	no	—
1651	C₂³	—	13	1	no	—
1652	C₂³	—	13	1	no	—
1653	C₂³	—	13	1	no	—
1654	C₂³	—	26	2	no	—
1655	C₂³	—	26	1	no	—
1656	C₂³	—	26	1	no	—
1657	C₂³	—	52	1	no	—
1658	C₂³	—	52	1	no	—
1659	C₂³	—	52	2	no	—
1660	C₂³	—	52	2	no	—
1661	C₂³	—	104	1	no	—
1662	C₂³	—	104	1	no	—
1663	C₂³	—	104	1	no	—
1664	C₂³	—	104	1	no	—
1665	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1666	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1667	Q₈	—	2	1	no	—
1668	Q₈	—	8	1	no	—
1669	Q₈	—	13	2	no	—
1670	Q₈	—	26	4	no	—
1671	Q₈	—	26	2	no	—
1672	Q₈	—	26	1	no	—
1673	Q₈	—	26	1	no	—
1674	Q₈	—	26	1	no	—
1675	Q₈	—	52	2	no	—
1676	Q₈	—	52	2	no	—
1677	Q₈	—	104	1	no	—
1678	Q₈	#41×D₁₃	1	2	yes	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	4	1	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	26	2	no	—
1695	D₄	—	26	2	no	—
1696	D₄	—	26	2	no	—
1697	D₄	—	26	1	no	—
1698	D₄	—	26	1	no	—
1699	D₄	—	26	1	no	—
1700	D₄	—	26	1	no	—
1701	D₄	—	52	1	no	—
1702	D₄	—	52	2	no	—
1703	D₄	—	52	2	no	—
1704	D₄	—	52	2	no	—
1705	D₄	—	52	2	no	—
1706	D₄	—	52	1	no	—
1707	D₄	—	52	1	no	—
1708	D₄	—	52	2	no	—
1709	D₄	—	52	2	no	—
1710	D₄	—	52	2	no	—
1711	D₄	—	52	2	no	—
1712	D₄	—	52	2	no	—
1713	D₄	—	104	1	no	—
1714	D₄	—	104	1	no	—
1715	D₄	—	104	1	no	—
1716	D₄	—	104	1	no	—
1717	D₄	—	104	1	no	—
1718	D₄	—	104	1	no	—
1719	D₄	—	104	1	no	—
1720	D₄	—	104	1	no	—
1721	D₄	—	104	1	no	—
1722	D₄	—	104	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	13	1	no	—
1736	C₂×C₄	—	13	2	no	—
1737	C₂×C₄	—	13	2	no	—
1738	C₂×C₄	—	13	1	no	—
1739	C₂×C₄	—	13	1	no	—
1740	C₂×C₄	—	13	1	no	—
1741	C₂×C₄	—	13	1	no	—
1742	C₂×C₄	—	26	2	no	—
1743	C₂×C₄	—	26	2	no	—
1744	C₂×C₄	—	26	4	no	—
1745	C₂×C₄	—	26	2	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	52	2	no	—
1757	C₂×C₄	—	52	2	no	—
1758	C₂×C₄	—	52	2	no	—
1759	C₂×C₄	—	52	2	no	—
1760	C₂×C₄	—	52	2	no	—
1761	C₂×C₄	—	52	2	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	104	1	no	—
1765	C₂×C₄	—	104	1	no	—
1766	C₂×C₄	—	104	1	no	—
1767	C₂×C₄	—	104	1	no	—
1768	C₂×C₄	—	104	1	no	—
1769	C₂×C₄	—	104	1	no	—
1770	C₂×C₄	—	104	1	no	—
1771	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1772	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1773	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1776	C₈	—	2	1	no	—
1777	C₈	—	2	1	no	—
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	26	1	no	—
1781	C₈	—	26	1	no	—
1782	C₈	—	26	1	no	—
1783	C₈	—	26	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	13	2	no	—
1800	C₂²	—	26	1	no	—
1801	C₂²	—	26	1	no	—
1802	C₂²	—	26	1	no	—
1803	C₂²	—	26	1	no	—
1804	C₂²	—	26	1	no	—
1805	C₂²	—	26	1	no	—
1806	C₂²	—	26	1	no	—
1807	C₂²	—	26	1	no	—
1808	C₂²	—	52	1	no	—
1809	C₂²	—	52	1	no	—
1810	C₂²	—	52	1	no	—
1811	C₂²	—	52	1	no	—
1812	C₂²	—	52	1	no	—
1813	C₂²	—	52	1	no	—
1814	C₂²	—	104	2	no	—
1815	C₂²	—	104	4	no	—
1816	C₂²	—	208	2	no	—
1817	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	2	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	13	2	no	—
1828	C₄	—	26	1	no	—
1829	C₄	—	26	1	no	—
1830	C₄	—	26	2	no	—
1831	C₄	—	26	1	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	52	1	no	—
1834	C₄	—	52	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	—	52	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1839	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1840	C₂	—	4	1	no	—
1841	C₂	—	4	1	no	—
1842	C₂	—	8	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	26	2	no	—
1846	C₂	—	52	1	no	—
1847	C₂	—	52	1	no	—
1848	C₂	—	104	1	no	—
1849	C₂	—	104	1	no	—
1850	C₂	D₁₃×#546	1	1	yes	characteristic
1851	C₂	#13129605	1	1	yes	characteristic
1852	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×#3305	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3305	D₁₃
hypocenter	C₁₃	#61189
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3305

Complements

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

N	H ≅ G/N	type
1. #13128570	C₂	semidirect
2. #13128489	C₂	semidirect
3. #13127162	C₂	semidirect
4. #13127156	C₂	semidirect
5. #13127094	C₂	semidirect
6. #13127087	C₂	semidirect
7. #13127018	C₂	semidirect
8. #13127016	C₂	semidirect
9. #13126849	C₂	semidirect
10. #13126848	C₂	semidirect
11. #13126842	C₂	semidirect
12. #13126838	C₂	semidirect
13. #13126833	C₂	semidirect
14. #13126824	C₂	semidirect
15. #13126784	C₂	semidirect
16. #13126740	C₂	semidirect
17. #13126731	C₂	semidirect
18. #13125185	C₂	semidirect
19. #13124789	C₂	semidirect
20. #13124748	C₂	semidirect
21. #13124673	C₂	semidirect
22. #13124479	C₂	semidirect
23. #13124452	C₂	semidirect
24. #13124334	C₂	semidirect
25. #13124119	C₂	semidirect
26. D₁₃×#449	C₂	semidirect
27. #13123690	C₂	semidirect
28. #13123556	C₂	semidirect
29. #13123365	C₂	semidirect
30. #13123351	C₂	semidirect
31. C₁₃×#3305	C₂	semidirect
34. C₁₃×#555	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719536	C₂²	semidirect
44. #11719431	C₂²	semidirect
46. #11719423	C₂²	semidirect
54. #11719319	C₂²	semidirect
55. #11719316	C₂²	semidirect
64. #11719304	C₂²	semidirect
66. #11719303	C₂²	semidirect
67. #11719281	C₂²	semidirect
69. #11719270	C₂²	semidirect
70. #11719263	C₂²	semidirect
72. #11719257	C₂²	semidirect
76. #11719237	C₂²	semidirect
77. #11719235	C₂²	semidirect
82. C₁₃×#486	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₈×D₄×C₁₃	C₂²	semidirect
93. C₁₃×#416	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718893	C₂²	semidirect
100. #11718831	C₂²	semidirect
101. SD₁₆×Dic₁₃	C₂²	semidirect
102. #11718820	C₂²	semidirect
104. #11718819	C₂²	semidirect
105. #11718818	C₂²	semidirect
106. #11718814	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718776	C₂²	semidirect
109. #11718775	C₂²	semidirect
110. #11718774	C₂²	semidirect
111. #11718772	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. C₂×#88056	C₂²	semidirect
114. #11718755	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718733	C₂²	semidirect
117. #11718732	C₂²	semidirect
118. #11718702	C₂²	semidirect
119. #11718701	C₂²	semidirect
120. #11718700	C₂²	semidirect
121. #11718700	C₂²	semidirect
122. #11718699	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718694	C₂²	semidirect
126. #11718687	C₂²	semidirect
127. #11718683	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718677	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718663	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718547	C₂²	semidirect
136. #11718545	C₂²	semidirect
137. #11718544	C₂²	semidirect
138. #11718543	C₂²	semidirect
141. #11718538	C₂²	semidirect
142. #11718536	C₂²	semidirect
143. #11718527	C₂²	semidirect
144. #11718523	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718505	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718478	C₂²	semidirect
153. #11718467	C₂²	semidirect
154. #11718464	C₂²	semidirect
155. #11718464	C₂²	semidirect
158. #11718463	C₂²	semidirect
160. D₁₃×#103	C₂²	semidirect
161. #11718457	C₂²	semidirect
162. #11718452	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718443	C₂²	semidirect
166. #11718443	C₂²	semidirect
167. #11718443	C₂²	semidirect
169. #11718442	C₂²	semidirect
170. #11718441	C₂²	semidirect
171. #11718440	C₂²	semidirect
172. #11718438	C₂²	semidirect
173. #11718438	C₂²	semidirect
174. #11718435	C₂²	semidirect
177. #11718433	C₂²	semidirect
179. #11718432	C₂²	semidirect
180. #11718432	C₂²	semidirect
181. #11718432	C₂²	semidirect
186. #11718429	C₂²	semidirect
187. #11718426	C₂²	semidirect
188. #11718425	C₂²	semidirect
189. #11718421	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718396	C₂²	semidirect
194. #11718390	C₂²	semidirect
196. #11718386	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
202. #11718349	C₂²	semidirect
546. Q₈×D₁₃	#41	semidirect
737. #3305	D₁₃	semidirect
897. #555	C₂×D₁₃	semidirect
909. #550	C₂×D₁₃	semidirect
946. #486	C₂×D₁₃	semidirect
955. #482	C₂×D₁₃	semidirect
956. #482	C₂×D₁₃	semidirect
968. #477	C₂×D₁₃	semidirect
983. #466	C₂×D₁₃	semidirect
984. #466	C₂×D₁₃	semidirect
994. #459	C₂×D₁₃	semidirect
1006. #449	C₂×D₁₃	semidirect
1018. C₄×SD₁₆	C₂×D₁₃	semidirect
1026. C₈×D₄	C₂×D₁₃	semidirect
1051. #416	C₂×D₁₃	semidirect
1052. #416	C₂×D₁₃	semidirect
1647. C₁₃	#61189	semidirect

Maximal subgroups

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

subgroup	index
#13128570	2
#13128489	2
#13127162	2
#13127156	2
#13127094	2
#13127087	2
#13127018	2
#13127016	2
#13126849	2
#13126848	2
#13126842	2
#13126838	2
#13126833	2
#13126824	2
#13126784	2
#13126740	2
#13126731	2
#13125185	2
#13124789	2
#13124748	2
#13124673	2
#13124479	2
#13124452	2
#13124334	2
#13124119	2
D₁₃×#449	2
#13123690	2
#13123556	2
#13123365	2
#13123351	2
C₁₃×#3305	2
#61189	13