Subgroups — #16755113

Order 3328.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128704	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128426	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127845	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127843	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127533	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127527	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126770	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126768	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126692	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126690	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126688	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126590	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126589	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126544	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126536	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126159	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126157	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126147	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125815	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125807	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125752	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124894	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124889	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124870	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124290	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718824	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
34	C₁₃×#548	C₂²	1	1	yes	characteristic
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719539	C₂²	1	1	yes	characteristic
37	#11719539	C₂²	1	1	yes	characteristic, complemented
38	#11719537	C₂²	1	1	yes	characteristic
39	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
41	#11719522	C₂²	1	1	yes	characteristic
42	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
43	C₂²×#6106	C₂²	1	1	yes	characteristic
44	#11719511	C₂²	1	1	yes	characteristic
45	C₂×#88194	C₂²	1	1	yes	characteristic
46	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
48	#11719386	—	2	1	no	—
49	#11719386	C₂²	1	1	yes	characteristic
50	#11719386	C₂²	1	1	yes	characteristic, complemented
51	#11719385	—	2	1	no	—
52	#11719385	C₂²	1	1	yes	characteristic, complemented
53	#11719373	C₂²	1	1	yes	characteristic
54	#11719369	—	2	1	no	—
55	#11719368	—	2	1	no	—
56	#11719346	—	2	1	no	—
57	#11719346	C₂²	1	1	yes	characteristic, complemented
58	#11719335	C₂²	1	1	yes	characteristic
59	#11719329	—	2	1	no	—
60	#11719329	C₂²	1	1	yes	characteristic, complemented
61	#11719327	C₂²	1	1	yes	characteristic
62	#11719323	—	2	1	no	—
63	#11719323	C₂²	1	1	yes	characteristic
64	#11719320	—	2	1	no	—
65	#11719304	—	2	1	no	—
66	#11719304	C₂²	1	1	yes	characteristic
67	#11719301	—	2	1	no	—
68	#11719301	C₂²	1	1	yes	characteristic
69	#11719301	C₂²	1	1	yes	characteristic
70	#11719297	—	2	1	no	—
71	#11719296	—	2	1	no	—
72	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
73	#11719274	C₂²	1	1	yes	characteristic, complemented
74	#11719270	—	2	1	no	—
75	#11719270	C₂²	1	1	yes	characteristic
76	#11719264	C₂²	1	1	yes	characteristic
77	#11719255	C₂²	1	1	yes	characteristic
78	#11719253	C₂²	1	1	yes	characteristic
79	C₄×#6129	—	2	1	no	—
80	C₄×#6129	C₂²	1	1	yes	characteristic
81	#11719195	—	2	1	no	—
82	#11719191	—	2	1	no	—
83	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#465	C₂²	1	1	yes	characteristic
85	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#451	C₂²	1	1	yes	characteristic
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#447	C₂²	1	1	yes	characteristic
92	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
94	#11718899	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic
98	#11718878	C₂²	1	1	yes	characteristic
99	C₂×#88072	C₂²	1	1	yes	characteristic
100	#11718852	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718846	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
104	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
105	#11718843	C₂²	1	1	yes	characteristic, complemented
106	#11718843	C₂²	1	1	yes	characteristic, complemented
107	#11718834	C₂²	1	1	yes	characteristic, complemented
108	#11718833	C₂²	1	1	yes	characteristic, complemented
109	#11718833	C₂²	1	1	yes	characteristic, complemented
110	#11718832	C₂²	1	1	yes	characteristic, complemented
111	#11718829	C₂²	1	1	yes	characteristic, complemented
112	#11718827	C₂²	1	1	yes	characteristic, complemented
113	#11718826	C₂²	1	1	yes	characteristic, complemented
114	#11718826	C₂²	1	1	yes	characteristic, complemented
115	#11718824	C₂²	1	1	yes	characteristic
116	#11718824	C₂²	1	1	yes	characteristic
117	#11718824	C₂²	1	1	yes	characteristic
118	#11718824	C₂²	1	1	yes	characteristic
119	#11718824	C₂²	1	1	yes	characteristic
120	#11718824	C₂²	1	1	yes	characteristic
121	#11718824	C₂²	1	1	yes	characteristic
122	#11718824	C₂²	1	1	yes	characteristic
123	#11718824	C₂²	1	1	yes	characteristic, complemented
124	#11718823	C₂²	1	1	yes	characteristic, complemented
125	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
126	#11718819	C₂²	1	1	yes	characteristic, complemented
127	#11718818	C₂²	1	1	yes	characteristic, complemented
128	#11718814	C₂²	1	1	yes	characteristic, complemented
129	#11718812	C₂²	1	1	yes	characteristic
130	#11718812	C₂²	1	1	yes	characteristic
131	#11718811	C₂²	1	1	yes	characteristic
132	#11718811	C₂²	1	1	yes	characteristic
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718776	C₂²	1	1	yes	characteristic, complemented
135	#11718775	C₂²	1	1	yes	characteristic
136	#11718774	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88061	C₂²	1	1	yes	characteristic
138	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88054	C₂²	1	1	yes	characteristic
141	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
142	#11718720	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718717	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718708	C₂²	1	1	yes	characteristic, complemented
149	#11718705	C₂²	1	1	yes	characteristic
150	#11718702	C₂²	1	1	yes	characteristic
151	#11718699	C₂²	1	1	yes	characteristic, complemented
152	#11718697	C₂²	1	1	yes	characteristic
153	#11718696	C₂²	1	1	yes	characteristic, complemented
154	#11718689	C₂²	1	1	yes	characteristic, complemented
155	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
157	D₄×#1055	C₂²	1	1	yes	characteristic
158	#11718670	C₂²	1	1	yes	characteristic, complemented
159	#11718532	C₂²	1	1	yes	characteristic, complemented
160	#11718531	C₂²	1	1	yes	characteristic, complemented
161	#11718527	C₂²	1	1	yes	characteristic, complemented
162	#11718515	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718505	C₂²	1	1	yes	characteristic, complemented
165	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	#11718491	C₂²	1	1	yes	characteristic, complemented
167	#11718480	C₂²	1	1	yes	characteristic, complemented
168	#11718479	C₂²	1	1	yes	characteristic, complemented
169	#11718472	C₂²	1	1	yes	characteristic, complemented
170	#11718468	C₂²	1	1	yes	characteristic, complemented
171	#11718465	C₂²	1	1	yes	characteristic, complemented
172	#11718461	C₂²	1	1	yes	characteristic, complemented
173	#11718455	C₂²	1	1	yes	characteristic, complemented
174	#11718455	C₂²	1	1	yes	characteristic, complemented
175	#11718452	C₂²	1	1	yes	characteristic, complemented
176	#11718451	C₂²	1	1	yes	characteristic, complemented
177	#11718451	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic, complemented
179	#11718447	C₂²	1	1	yes	characteristic
180	#11718447	C₂²	1	1	yes	characteristic
181	#11718445	C₂²	1	1	yes	characteristic, complemented
182	#11718436	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	#11718429	C₂²	1	1	yes	characteristic, complemented
185	#11718427	C₂²	1	1	yes	characteristic, complemented
186	#11718423	C₂²	1	1	yes	characteristic, complemented
187	#11718422	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic
189	#11718421	C₂²	1	1	yes	characteristic
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic
194	#11718386	C₂²	1	1	yes	characteristic
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718383	C₂²	1	1	yes	characteristic
197	#11718379	C₂²	1	1	yes	characteristic
198	#11718379	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	#11718346	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₂₆	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6129	—	2	1	no	—
212	C₂×#6129	—	2	1	no	—
213	C₂×#6129	D₄	1	1	yes	characteristic
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×#6127	—	2	1	no	—
216	C₂×#6127	C₂³	1	1	yes	characteristic
217	C₂²×D₅₂	C₂³	1	1	yes	characteristic
218	C₁₃×#135	—	4	2	no	—
219	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	—	4	2	no	—
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×#124	—	2	1	no	—
232	C₁₃×#124	C₂³	1	1	yes	characteristic
233	C₁₃×#124	C₂³	1	1	yes	characteristic
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×C₂²⋊Q₈	—	2	1	no	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	—	2	1	no	—
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#120	—	2	1	no	—
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	#88207	—	2	1	no	—
249	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
250	#88204	—	4	2	no	—
251	#88201	—	2	1	no	—
252	#88201	C₂³	1	1	yes	characteristic
253	#88201	C₂³	1	1	yes	characteristic
254	#88200	—	2	1	no	—
255	#88200	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₃	—	2	1	no	—
257	Q₈×Dic₁₃	—	2	1	no	—
258	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
259	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	#88198	C₂³	1	1	yes	characteristic
265	C₂×#6107	C₂³	1	1	yes	characteristic
266	C₂×#6107	C₂³	1	1	yes	characteristic
267	C₂×#6106	—	4	2	no	—
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	C₂×#6106	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	C₂×#6106	C₂³	1	1	yes	characteristic
272	C₂×#6106	C₂³	1	1	yes	characteristic
273	#88194	—	2	1	no	—
274	#88194	—	2	1	no	—
275	#88194	—	2	1	no	—
276	#88194	—	2	1	no	—
277	#88194	—	2	1	no	—
278	#88194	C₂³	1	1	yes	characteristic
279	#88194	C₂³	1	1	yes	characteristic
280	#88194	C₂³	1	1	yes	characteristic
281	#88194	C₂³	1	1	yes	characteristic
282	#88194	C₂³	1	1	yes	characteristic
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88192	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88192	C₂³	1	1	yes	characteristic
294	#88192	C₂³	1	1	yes	characteristic
295	#88191	—	2	1	no	—
296	#88190	C₂³	1	1	yes	characteristic
297	#88189	—	2	1	no	—
298	D₄×Dic₁₃	—	2	1	no	—
299	D₄×Dic₁₃	—	2	1	no	—
300	D₄×Dic₁₃	—	2	1	no	—
301	D₄×Dic₁₃	D₄	1	1	yes	characteristic
302	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×#6105	C₂³	1	1	yes	characteristic
306	C₂×#6104	C₂³	1	1	yes	characteristic
307	C₂×#6104	C₂³	1	1	yes	characteristic
308	C₂×#6104	C₂³	1	1	yes	characteristic
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	#88184	—	2	1	no	—
311	#88184	—	2	1	no	—
312	#88184	—	2	1	no	—
313	#88184	C₂³	1	1	yes	characteristic
314	#88184	C₂³	1	1	yes	characteristic
315	#88184	C₂³	1	1	yes	characteristic
316	#88183	—	2	1	no	—
317	C₄×C₂²⋊D₁₃	—	2	1	no	—
318	C₄×C₂²⋊D₁₃	—	2	1	no	—
319	C₄×C₂²⋊D₁₃	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
326	#88180	—	2	1	no	—
327	#88180	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊Dic₁₃	—	2	1	no	—
329	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
330	#88178	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₁₃	—	2	1	no	—
332	C₂×C₄×Dic₁₃	—	2	1	no	—
333	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
335	C₂²×#1055	C₂³	1	1	yes	characteristic
336	C₂²×#1055	C₂³	1	1	yes	characteristic
337	#88173	—	4	2	no	—
338	#88170	—	4	2	no	—
339	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
340	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	#88152	—	2	1	no	—
345	#88152	—	2	1	no	—
346	#88152	—	2	1	no	—
347	#88149	—	2	1	no	—
348	#88149	C₂³	1	1	yes	characteristic
349	#88148	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88147	—	2	1	no	—
352	#88147	C₂³	1	1	yes	characteristic
353	#88147	C₂³	1	1	yes	characteristic
354	#88146	—	2	1	no	—
355	#88146	—	2	1	no	—
356	#88146	D₄	1	1	yes	characteristic
357	#88146	C₂³	1	1	yes	characteristic
358	#88144	—	2	1	no	—
359	#88144	C₂³	1	1	yes	characteristic
360	#88143	—	2	1	no	—
361	#88142	—	2	1	no	—
362	#88142	C₂³	1	1	yes	characteristic
363	#88142	C₂³	1	1	yes	characteristic
364	#88141	—	2	1	no	—
365	#88141	—	2	1	no	—
366	#88141	D₄	1	1	yes	characteristic
367	#88141	C₂³	1	1	yes	characteristic
368	#88140	—	2	1	no	—
369	#88140	—	2	1	no	—
370	#88140	—	2	1	no	—
371	#88140	—	2	1	no	—
372	#88139	—	2	1	no	—
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	D₄	1	1	yes	characteristic
401	#88135	D₄	1	1	yes	characteristic
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	#88133	—	2	1	no	—
405	#88133	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88131	—	2	1	no	—
410	#88131	D₄	1	1	yes	characteristic
411	#88131	D₄	1	1	yes	characteristic
412	#88129	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	—	2	1	no	—
414	C₄×D₅₂	C₂³	1	1	yes	characteristic
415	C₄×D₅₂	C₂³	1	1	yes	characteristic
416	C₄²×D₁₃	—	2	1	no	—
417	C₄²×D₁₃	C₂³	1	1	yes	characteristic
418	#88124	—	2	1	no	—
419	#88124	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	—	2	1	no	—
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88072	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	C₂²⋊#1055	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	#88061	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	#88061	C₂³	1	1	yes	characteristic
453	#88061	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	#88058	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	#88054	C₂³	1	1	yes	characteristic
463	#88054	C₂³	1	1	yes	characteristic
464	#88054	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
473	C₈×Dic₁₃	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	#88048	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#61953	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₁₃×#41	—	2	2	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	4	1	no	—
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	4	4	no	—
532	C₂×C₂²⋊D₁₃	—	8	2	no	—
533	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
540	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
544	#6131	—	2	2	no	—
545	#6131	—	4	1	no	—
546	#6131	—	4	1	no	—
547	#6131	—	4	1	no	—
548	#6129	—	2	4	no	—
549	#6129	—	4	1	no	—
550	#6129	—	4	1	no	—
551	#6129	—	4	4	no	—
552	#6129	—	8	2	no	—
553	#6127	—	4	1	no	—
554	#6127	—	4	1	no	—
555	#6127	—	8	2	no	—
556	C₂×D₅₂	—	2	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	—	2	1	no	—
560	C₂×D₅₂	—	4	1	no	—
561	C₂×D₅₂	—	4	1	no	—
562	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₂₆	—	2	1	no	—
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
578	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
579	C₁₃×Q₁₆	—	2	2	no	—
580	C₁₃×Q₁₆	—	4	1	no	—
581	C₁₃×SD₁₆	—	2	2	no	—
582	C₁₃×SD₁₆	—	2	2	no	—
583	C₁₃×SD₁₆	—	4	1	no	—
584	C₁₃×SD₁₆	—	4	1	no	—
585	C₁₃×SD₁₆	—	4	1	no	—
586	C₁₃×D₈	—	4	1	no	—
587	C₁₃×D₈	—	4	1	no	—
588	C₂×C₈×C₁₃	—	4	1	no	—
589	C₂×C₈×C₁₃	—	4	1	no	—
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₁₃	—	2	1	no	—
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
623	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
624	#6107	—	2	2	no	—
625	#6107	—	4	1	no	—
626	#6106	—	2	2	no	—
627	#6106	—	2	2	no	—
628	#6106	—	4	1	no	—
629	#6106	—	4	1	no	—
630	#6106	—	4	1	no	—
631	#6105	—	4	1	no	—
632	#6104	—	4	1	no	—
633	#6104	—	4	1	no	—
634	#6104	—	4	1	no	—
635	#6104	—	4	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	—	2	1	no	—
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	C₂×D₄	1	1	yes	characteristic
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	—	2	1	no	—
690	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
697	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₂×#1055	—	4	1	no	—
700	C₂×#1055	—	4	1	no	—
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	C₂×#1055	C₂⁴	1	1	yes	characteristic
703	C₂×#1055	C₂⁴	1	1	yes	characteristic
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	D₁₀₄	—	4	1	no	—
706	D₁₀₄	—	4	1	no	—
707	#6095	—	4	1	no	—
708	C₈×D₁₃	—	4	1	no	—
709	C₈×D₁₃	—	4	1	no	—
710	#3508	—	13	1	no	—
711	#3480	—	13	1	no	—
712	#3396	—	13	1	no	—
713	#3396	—	13	1	no	—
714	#3365	—	13	1	no	—
715	#3365	—	13	1	no	—
716	#3304	—	13	1	no	—
717	#3304	—	13	1	no	—
718	#3297	—	13	1	no	—
719	#3297	—	13	1	no	—
720	#3297	—	13	1	no	—
721	#3297	—	13	1	no	—
722	#3287	—	13	1	no	—
723	#3287	—	13	1	no	—
724	#3282	—	13	1	no	—
725	#3282	—	13	1	no	—
726	#3282	—	13	1	no	—
727	#3282	D₁₃	1	1	yes	characteristic, complemented
728	#3247	—	13	1	no	—
729	#3247	—	13	1	no	—
730	#3246	—	13	1	no	—
731	#3212	—	13	1	no	—
732	#3212	—	13	1	no	—
733	#3205	—	13	1	no	—
734	#3106	—	13	1	no	—
735	#3106	—	13	1	no	—
736	#3104	—	13	1	no	—
737	#3035	—	13	1	no	—
738	#3035	—	13	1	no	—
739	C₂×#460	—	13	1	no	—
740	#2988	—	13	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	2	1	no	—
744	C₂³×C₁₃	—	4	2	no	—
745	C₂³×C₁₃	—	8	1	no	—
746	C₂³×C₁₃	—	8	1	no	—
747	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
748	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
749	C₂²×D₁₃	—	2	1	no	—
750	C₂²×D₁₃	—	2	1	no	—
751	C₂²×D₁₃	—	2	1	no	—
752	C₂²×D₁₃	—	4	2	no	—
753	C₂²×D₁₃	—	8	1	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	2	1	no	—
760	Q₈×C₁₃	—	2	1	no	—
761	Q₈×C₁₃	—	4	2	no	—
762	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
763	D₄×C₁₃	—	2	2	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	1	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	4	2	no	—
771	D₄×C₁₃	—	4	2	no	—
772	D₄×C₁₃	—	8	1	no	—
773	D₄×C₁₃	—	8	1	no	—
774	D₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	4	2	no	—
785	C₂×C₄×C₁₃	—	4	2	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
793	C₂²⋊D₁₃	—	2	2	no	—
794	C₂²⋊D₁₃	—	2	2	no	—
795	C₂²⋊D₁₃	—	4	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	4	2	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	8	1	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂²⋊D₁₃	—	8	1	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂²⋊D₁₃	—	8	1	no	—
811	C₂²⋊D₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	2	2	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	4	1	no	—
819	C₂×Dic₁₃	—	4	1	no	—
820	C₂×Dic₁₃	—	4	2	no	—
821	C₂×Dic₁₃	—	8	1	no	—
822	C₂×Dic₁₃	—	8	1	no	—
823	C₂×Dic₁₃	—	8	1	no	—
824	C₂×Dic₁₃	—	8	1	no	—
825	C₂×Dic₁₃	#135	1	4	yes	complemented
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
833	D₅₂	—	2	1	no	—
834	D₅₂	—	2	1	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	2	1	no	—
837	D₅₂	—	2	1	no	—
838	D₅₂	—	2	1	no	—
839	D₅₂	—	4	2	no	—
840	D₅₂	—	8	1	no	—
841	D₅₂	—	8	1	no	—
842	D₅₂	—	8	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	1	no	—
845	C₄×D₁₃	—	2	2	no	—
846	C₄×D₁₃	—	4	1	no	—
847	C₄×D₁₃	—	4	2	no	—
848	C₄×D₁₃	—	4	2	no	—
849	C₄×D₁₃	—	8	1	no	—
850	C₄×D₁₃	—	8	1	no	—
851	C₄×D₁₃	—	8	1	no	—
852	C₄×D₁₃	—	8	1	no	—
853	C₄×D₁₃	—	8	1	no	—
854	Dic₂₆	—	2	2	no	—
855	Dic₂₆	—	2	1	no	—
856	Dic₂₆	—	2	1	no	—
857	Dic₂₆	—	4	2	no	—
858	Dic₂₆	—	4	2	no	—
859	C₈×C₁₃	—	2	1	no	—
860	C₈×C₁₃	—	2	1	no	—
861	C₈×C₁₃	—	2	1	no	—
862	C₈×C₁₃	—	2	1	no	—
863	#1055	—	2	1	no	—
864	#1055	—	2	1	no	—
865	#1055	—	2	1	no	—
866	#1055	—	2	1	no	—
867	C₂×#135	—	13	1	no	—
868	C₂×#135	—	13	1	no	—
869	C₂×#135	—	13	1	no	—
870	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
871	C₂²×SD₁₆	—	13	1	no	—
872	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
873	#559	—	13	1	no	—
874	#559	—	13	1	no	—
875	#559	—	13	1	no	—
876	#559	—	26	1	no	—
877	#559	—	26	1	no	—
878	#557	—	13	1	no	—
879	#556	—	13	1	no	—
880	#556	—	26	1	no	—
881	#553	—	13	1	no	—
882	#553	—	13	1	no	—
883	#553	—	26	1	no	—
884	#553	—	26	1	no	—
885	#550	—	13	1	no	—
886	#550	—	13	1	no	—
887	#550	—	13	1	no	—
888	#550	—	26	1	no	—
889	#548	—	13	1	no	—
890	#548	C₂×D₁₃	1	1	yes	characteristic
891	#546	—	13	1	no	—
892	#546	—	13	1	no	—
893	#546	—	13	1	no	—
894	#546	—	26	1	no	—
895	#546	—	26	1	no	—
896	#546	C₂×D₁₃	1	1	yes	characteristic
897	#540	—	26	1	no	—
898	#540	—	26	1	no	—
899	#535	—	26	1	no	—
900	#533	—	13	1	no	—
901	#532	—	13	1	no	—
902	#532	—	13	1	no	—
903	#532	—	13	1	no	—
904	#532	—	13	1	no	—
905	#532	—	13	1	no	—
906	#532	—	26	1	no	—
907	C₂×#127	—	13	1	no	—
908	#529	—	13	1	no	—
909	#529	—	13	1	no	—
910	#529	—	26	1	no	—
911	#529	—	26	1	no	—
912	#518	—	26	1	no	—
913	C₄×#41	—	13	1	no	—
914	C₄×#41	—	13	1	no	—
915	C₄×#41	—	13	1	no	—
916	C₄×#41	—	26	1	no	—
917	C₂×C₄×Q₈	—	13	1	no	—
918	#495	—	13	1	no	—
919	#495	—	13	1	no	—
920	#495	—	13	1	no	—
921	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
922	#493	—	13	1	no	—
923	#493	—	13	1	no	—
924	#488	—	13	1	no	—
925	#488	—	13	1	no	—
926	#488	—	13	1	no	—
927	#488	—	13	1	no	—
928	#486	—	13	1	no	—
929	#486	—	13	1	no	—
930	#484	—	13	1	no	—
931	#484	—	13	1	no	—
932	#482	—	13	1	no	—
933	#482	—	13	1	no	—
934	#482	—	13	1	no	—
935	#482	—	13	1	no	—
936	#478	—	13	1	no	—
937	#478	—	13	1	no	—
938	#478	—	13	1	no	—
939	#478	—	13	1	no	—
940	#477	—	13	1	no	—
941	#477	—	13	1	no	—
942	#476	—	13	1	no	—
943	#476	—	13	1	no	—
944	#475	—	13	1	no	—
945	#475	—	13	1	no	—
946	#466	—	13	1	no	—
947	#466	—	13	1	no	—
948	#466	—	13	1	no	—
949	#466	—	13	1	no	—
950	#465	—	13	1	no	—
951	#465	—	13	1	no	—
952	#465	—	13	1	no	—
953	#465	—	13	1	no	—
954	#465	—	13	1	no	—
955	#465	—	13	1	no	—
956	#465	C₂×D₁₃	1	1	yes	characteristic
957	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#464	—	13	1	no	—
959	#464	—	13	1	no	—
960	#464	—	13	1	no	—
961	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#463	—	13	1	no	—
965	#463	—	13	1	no	—
966	#463	—	13	1	no	—
967	#463	—	13	1	no	—
968	#463	—	13	1	no	—
969	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
970	#462	—	13	1	no	—
971	#462	—	13	1	no	—
972	#461	—	13	1	no	—
973	#461	—	13	1	no	—
974	#460	—	13	1	no	—
975	#460	—	13	1	no	—
976	#460	—	13	1	no	—
977	#460	—	13	1	no	—
978	#460	—	13	1	no	—
979	#460	—	13	1	no	—
980	#460	—	13	1	no	—
981	#460	—	13	1	no	—
982	#460	—	13	1	no	—
983	#460	—	13	1	no	—
984	#459	—	13	1	no	—
985	#459	—	13	1	no	—
986	#459	—	13	1	no	—
987	#459	—	13	1	no	—
988	#452	—	13	1	no	—
989	#452	—	13	1	no	—
990	#452	—	13	1	no	—
991	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#451	—	13	1	no	—
993	#451	C₂×D₁₃	1	1	yes	characteristic
994	#449	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#447	—	13	1	no	—
1003	#447	—	13	1	no	—
1004	#447	—	13	1	no	—
1005	#447	C₂×D₁₃	1	1	yes	characteristic
1006	C₈×Q₈	—	13	1	no	—
1007	C₈×Q₈	—	13	1	no	—
1008	C₄×Q₁₆	—	13	1	no	—
1009	C₄×Q₁₆	—	13	1	no	—
1010	C₄×Q₁₆	—	13	1	no	—
1011	C₄×Q₁₆	—	13	1	no	—
1012	C₄×SD₁₆	—	13	1	no	—
1013	C₄×SD₁₆	—	13	1	no	—
1014	C₄×SD₁₆	—	13	1	no	—
1015	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	C₄×D₈	—	13	1	no	—
1017	C₄×D₈	—	13	1	no	—
1018	C₄×D₈	—	13	1	no	—
1019	C₄×D₈	—	13	1	no	—
1020	C₈×D₄	—	13	1	no	—
1021	C₈×D₄	—	13	1	no	—
1022	C₈×D₄	—	13	1	no	—
1023	C₈×D₄	—	13	1	no	—
1024	C₈×D₄	—	13	1	no	—
1025	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
1026	#431	—	13	1	no	—
1027	#431	—	13	1	no	—
1028	#431	—	13	1	no	—
1029	C₂×C₄⋊C₈	—	13	1	no	—
1030	C₂×C₄⋊C₈	—	13	1	no	—
1031	C₂×C₄⋊C₈	—	13	1	no	—
1032	#416	—	13	1	no	—
1033	#416	—	13	1	no	—
1034	#416	—	13	1	no	—
1035	#416	—	13	1	no	—
1036	C₂×#102	—	13	1	no	—
1037	C₂×#102	—	13	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	2	1	no	—
1040	C₂²×C₁₃	—	2	1	no	—
1041	C₂²×C₁₃	—	2	1	no	—
1042	C₂²×C₁₃	—	2	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	16	2	no	—
1053	C₂²×C₁₃	C₂×#135	1	2	yes	—
1054	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	2	1	no	—
1057	C₂×D₁₃	—	2	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	4	1	no	—
1062	C₂×D₁₃	—	4	1	no	—
1063	C₂×D₁₃	—	4	1	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	16	2	no	—
1068	C₄×C₁₃	—	2	1	no	—
1069	C₄×C₁₃	—	2	2	no	—
1070	C₄×C₁₃	—	2	1	no	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1078	C₄×C₁₃	#585	1	1	yes	characteristic
1079	Dic₁₃	—	2	1	no	—
1080	Dic₁₃	—	2	1	no	—
1081	Dic₁₃	—	2	1	no	—
1082	Dic₁₃	—	2	1	no	—
1083	Dic₁₃	—	2	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	—	4	1	no	—
1087	Dic₁₃	—	4	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	C₂×#135	1	2	yes	—
1090	Dic₁₃	C₂×#135	1	2	yes	—
1091	C₂×#41	—	13	1	no	—
1092	C₂×#41	—	13	1	no	—
1093	C₂×#41	—	13	1	no	—
1094	C₂×#41	—	13	1	no	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	26	1	no	—
1097	C₂×#41	—	26	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂²×D₄	—	13	1	no	—
1103	C₂²×D₄	—	26	1	no	—
1104	C₂²×D₄	—	26	1	no	—
1105	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1106	#135	—	4	2	no	—
1107	#135	—	52	2	no	—
1108	#135	—	52	2	no	—
1109	#135	—	52	2	no	—
1110	C₂×Q₁₆	—	13	1	no	—
1111	C₂×Q₁₆	—	13	1	no	—
1112	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1114	C₂×SD₁₆	—	4	2	no	—
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	13	1	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×SD₁₆	—	13	1	no	—
1119	C₂×SD₁₆	—	13	1	no	—
1120	C₂×SD₁₆	—	13	1	no	—
1121	C₂×SD₁₆	—	13	1	no	—
1122	C₂×SD₁₆	—	52	2	no	—
1123	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1128	C₂×D₈	—	13	1	no	—
1129	C₂×D₈	—	13	1	no	—
1130	C₂×D₈	—	13	1	no	—
1131	C₂×D₈	—	13	1	no	—
1132	C₂×D₈	—	13	1	no	—
1133	C₂×D₈	—	13	1	no	—
1134	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂²×C₈	—	13	1	no	—
1137	C₂²×C₈	—	13	1	no	—
1138	C₂²×C₈	—	13	1	no	—
1139	C₂²×C₈	—	13	1	no	—
1140	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1142	C₄⋊Q₈	—	13	1	no	—
1143	C₄⋊Q₈	—	13	1	no	—
1144	C₄⋊Q₈	—	13	1	no	—
1145	C₄⋊Q₈	—	26	1	no	—
1146	#127	—	13	1	no	—
1147	#127	—	13	1	no	—
1148	#127	—	13	1	no	—
1149	#127	—	13	1	no	—
1150	#127	—	13	1	no	—
1151	#127	—	26	1	no	—
1152	#127	—	26	1	no	—
1153	#127	—	26	1	no	—
1154	#127	—	26	1	no	—
1155	#127	—	26	1	no	—
1156	#126	—	26	1	no	—
1157	#126	—	26	1	no	—
1158	#126	—	26	1	no	—
1159	#126	—	26	1	no	—
1160	#126	—	26	1	no	—
1161	#126	—	26	1	no	—
1162	#125	—	13	1	no	—
1163	#125	—	13	1	no	—
1164	#125	—	26	1	no	—
1165	#125	—	26	1	no	—
1166	#125	—	26	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	13	1	no	—
1169	#124	—	13	1	no	—
1170	#124	—	13	1	no	—
1171	#124	—	13	1	no	—
1172	#124	—	26	1	no	—
1173	#124	—	26	1	no	—
1174	#124	—	26	1	no	—
1175	#124	—	26	1	no	—
1176	#124	—	26	1	no	—
1177	#124	—	26	1	no	—
1178	#124	—	26	1	no	—
1179	#124	—	26	1	no	—
1180	#124	C₂²×D₁₃	1	1	yes	characteristic
1181	#124	C₂²×D₁₃	1	1	yes	characteristic
1182	#123	—	2	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	—	26	1	no	—
1192	#123	—	26	1	no	—
1193	#123	—	26	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	26	1	no	—
1200	C₂²⋊Q₈	—	26	1	no	—
1201	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	13	1	no	—
1206	#121	—	13	1	no	—
1207	#121	—	13	1	no	—
1208	#121	—	13	1	no	—
1209	#121	—	13	1	no	—
1210	#121	—	13	1	no	—
1211	#121	—	26	1	no	—
1212	#121	—	26	1	no	—
1213	#121	—	26	1	no	—
1214	#121	—	26	1	no	—
1215	#121	—	26	1	no	—
1216	#121	—	26	1	no	—
1217	#121	—	26	1	no	—
1218	#121	—	26	1	no	—
1219	#121	—	26	1	no	—
1220	#121	—	26	1	no	—
1221	#121	—	26	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	C₂²×D₁₃	1	1	yes	characteristic
1231	#121	C₂²×D₁₃	1	1	yes	characteristic
1232	#120	—	2	1	no	—
1233	#120	—	26	1	no	—
1234	#120	—	26	1	no	—
1235	#120	—	26	1	no	—
1236	C₄×Q₈	—	13	1	no	—
1237	C₄×Q₈	—	13	1	no	—
1238	C₄×Q₈	—	13	1	no	—
1239	C₄×Q₈	—	13	1	no	—
1240	C₄×Q₈	—	13	1	no	—
1241	C₄×Q₈	—	13	1	no	—
1242	C₄×Q₈	—	13	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×Q₈	—	26	1	no	—
1246	C₄×Q₈	—	26	1	no	—
1247	C₄×Q₈	—	26	1	no	—
1248	C₄×Q₈	—	26	1	no	—
1249	C₄×Q₈	—	26	1	no	—
1250	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	26	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1287	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1288	#117	—	13	1	no	—
1289	#117	—	13	1	no	—
1290	#117	—	13	1	no	—
1291	#117	—	13	1	no	—
1292	#117	—	13	1	no	—
1293	#117	—	26	1	no	—
1294	#117	—	26	1	no	—
1295	#117	—	26	1	no	—
1296	#117	—	26	1	no	—
1297	#117	—	26	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	2	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₂²⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	26	1	no	—
1304	C₂×C₄²	—	13	1	no	—
1305	C₂×C₄²	—	13	1	no	—
1306	C₂×C₄²	—	13	1	no	—
1307	C₂×C₄²	—	26	1	no	—
1308	C₂×C₄²	—	26	1	no	—
1309	C₂×C₄²	—	26	1	no	—
1310	#107	—	13	1	no	—
1311	#107	—	13	1	no	—
1312	#107	—	13	1	no	—
1313	#107	—	13	1	no	—
1314	#106	—	13	1	no	—
1315	#106	—	13	1	no	—
1316	#106	—	13	1	no	—
1317	#106	C₂²×D₁₃	1	1	yes	characteristic
1318	C₄⋊C₈	—	13	1	no	—
1319	C₄⋊C₈	—	13	1	no	—
1320	C₄⋊C₈	—	13	1	no	—
1321	C₄⋊C₈	—	13	1	no	—
1322	C₄⋊C₈	—	13	1	no	—
1323	C₄⋊C₈	—	13	1	no	—
1324	C₄⋊C₈	—	13	1	no	—
1325	C₄⋊C₈	—	13	1	no	—
1326	C₄⋊C₈	—	13	1	no	—
1327	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	C₂²×D₁₃	1	1	yes	characteristic
1338	#103	C₂²×D₁₃	1	1	yes	characteristic
1339	#103	C₂²×D₁₃	1	1	yes	characteristic
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	C₂²×D₁₃	1	1	yes	characteristic
1358	#102	C₂²×D₁₃	1	1	yes	characteristic
1359	#102	C₂²×D₁₃	1	1	yes	characteristic
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1365	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1366	C₄×C₈	—	13	1	no	—
1367	C₄×C₈	—	13	1	no	—
1368	C₄×C₈	—	13	1	no	—
1369	C₄×C₈	—	13	1	no	—
1370	C₄×C₈	—	13	1	no	—
1371	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂×C₁₃	—	2	2	no	—
1373	C₂×C₁₃	—	4	1	no	—
1374	C₂×C₁₃	—	8	1	no	—
1375	C₂×C₁₃	—	8	1	no	—
1376	C₂×C₁₃	—	8	1	no	—
1377	C₂×C₁₃	#3488	1	1	yes	characteristic
1378	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1379	C₂×C₁₃	#3585	1	1	yes	characteristic
1380	D₁₃	—	4	1	no	—
1381	D₁₃	—	8	1	no	—
1382	D₁₃	—	8	1	no	—
1383	D₁₃	—	8	1	no	—
1384	C₂⁴	—	2	1	no	—
1385	C₂⁴	—	26	1	no	—
1386	#41	—	2	2	no	—
1387	#41	—	4	1	no	—
1388	#41	—	4	1	no	—
1389	#41	—	4	1	no	—
1390	#41	—	26	4	no	—
1391	#41	—	26	2	no	—
1392	#41	—	52	1	no	—
1393	#41	—	52	1	no	—
1394	#41	—	52	4	no	—
1395	#41	—	52	1	no	—
1396	#41	—	52	1	no	—
1397	#41	—	52	1	no	—
1398	#41	—	52	1	no	—
1399	#41	—	52	1	no	—
1400	#41	—	104	2	no	—
1401	#41	—	104	2	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	2	no	—
1404	C₂×Q₈	—	4	1	no	—
1405	C₂×Q₈	—	13	1	no	—
1406	C₂×Q₈	—	13	1	no	—
1407	C₂×Q₈	—	26	1	no	—
1408	C₂×Q₈	—	26	1	no	—
1409	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1410	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1411	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	13	1	no	—
1420	C₂×D₄	—	13	1	no	—
1421	C₂×D₄	—	13	1	no	—
1422	C₂×D₄	—	13	1	no	—
1423	C₂×D₄	—	13	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	1	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	52	1	no	—
1446	C₂×D₄	—	52	1	no	—
1447	C₂×D₄	—	52	4	no	—
1448	C₂×D₄	—	104	2	no	—
1449	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1450	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1451	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1452	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	13	1	no	—
1458	C₂²×C₄	—	13	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	13	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1478	Q₁₆	—	2	2	no	—
1479	Q₁₆	—	4	1	no	—
1480	Q₁₆	—	26	2	no	—
1481	Q₁₆	—	52	1	no	—
1482	SD₁₆	—	2	2	no	—
1483	SD₁₆	—	2	2	no	—
1484	SD₁₆	—	4	1	no	—
1485	SD₁₆	—	4	1	no	—
1486	SD₁₆	—	4	1	no	—
1487	SD₁₆	—	26	2	no	—
1488	SD₁₆	—	26	2	no	—
1489	SD₁₆	—	52	1	no	—
1490	SD₁₆	—	52	1	no	—
1491	SD₁₆	—	52	1	no	—
1492	SD₁₆	—	52	1	no	—
1493	SD₁₆	—	52	1	no	—
1494	D₈	—	4	1	no	—
1495	D₈	—	4	1	no	—
1496	D₈	—	52	1	no	—
1497	D₈	—	52	1	no	—
1498	D₈	—	52	1	no	—
1499	D₈	—	52	1	no	—
1500	D₈	—	52	1	no	—
1501	D₈	—	52	1	no	—
1502	C₂×C₈	—	4	1	no	—
1503	C₂×C₈	—	4	1	no	—
1504	C₂×C₈	—	13	1	no	—
1505	C₂×C₈	—	13	1	no	—
1506	C₂×C₈	—	13	1	no	—
1507	C₂×C₈	—	13	1	no	—
1508	C₂×C₈	—	52	1	no	—
1509	C₂×C₈	—	52	1	no	—
1510	C₂×C₈	—	52	1	no	—
1511	C₂×C₈	—	52	1	no	—
1512	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1514	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1515	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	1	no	—
1524	C₄⋊C₄	—	13	1	no	—
1525	C₄⋊C₄	—	13	1	no	—
1526	C₄⋊C₄	—	13	1	no	—
1527	C₄⋊C₄	—	13	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	13	1	no	—
1559	C₂²⋊C₄	—	13	1	no	—
1560	C₂²⋊C₄	—	13	1	no	—
1561	C₂²⋊C₄	—	13	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1588	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1589	C₄²	—	2	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	13	1	no	—
1592	C₄²	—	13	1	no	—
1593	C₄²	—	13	1	no	—
1594	C₄²	—	13	1	no	—
1595	C₄²	—	13	1	no	—
1596	C₄²	—	13	1	no	—
1597	C₄²	—	13	1	no	—
1598	C₄²	—	13	1	no	—
1599	C₄²	—	26	1	no	—
1600	C₄²	—	26	1	no	—
1601	C₄²	—	26	1	no	—
1602	C₄²	—	26	1	no	—
1603	C₄²	—	26	1	no	—
1604	C₄²	—	26	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1609	C₁₃	#61953	1	1	yes	characteristic, complemented, Sylow
1610	C₂³	—	2	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	4	2	no	—
1614	C₂³	—	8	1	no	—
1615	C₂³	—	8	1	no	—
1616	C₂³	—	13	1	no	—
1617	C₂³	—	26	1	no	—
1618	C₂³	—	26	1	no	—
1619	C₂³	—	26	1	no	—
1620	C₂³	—	52	2	no	—
1621	C₂³	—	104	1	no	—
1622	C₂³	—	104	1	no	—
1623	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1624	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1625	Q₈	—	2	1	no	—
1626	Q₈	—	2	1	no	—
1627	Q₈	—	2	1	no	—
1628	Q₈	—	2	1	no	—
1629	Q₈	—	2	1	no	—
1630	Q₈	—	4	2	no	—
1631	Q₈	—	26	2	no	—
1632	Q₈	—	26	1	no	—
1633	Q₈	—	26	1	no	—
1634	Q₈	—	52	2	no	—
1635	Q₈	—	52	2	no	—
1636	Q₈	#88251	1	2	yes	—
1637	D₄	—	2	2	no	—
1638	D₄	—	2	1	no	—
1639	D₄	—	2	1	no	—
1640	D₄	—	2	1	no	—
1641	D₄	—	2	1	no	—
1642	D₄	—	2	1	no	—
1643	D₄	—	2	1	no	—
1644	D₄	—	4	2	no	—
1645	D₄	—	4	2	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	26	2	no	—
1650	D₄	—	26	2	no	—
1651	D₄	—	26	1	no	—
1652	D₄	—	26	1	no	—
1653	D₄	—	26	1	no	—
1654	D₄	—	26	1	no	—
1655	D₄	—	26	1	no	—
1656	D₄	—	26	1	no	—
1657	D₄	—	52	2	no	—
1658	D₄	—	52	2	no	—
1659	D₄	—	52	2	no	—
1660	D₄	—	52	2	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	52	2	no	—
1663	D₄	—	52	2	no	—
1664	D₄	—	52	2	no	—
1665	D₄	—	52	2	no	—
1666	D₄	—	104	1	no	—
1667	D₄	—	104	1	no	—
1668	D₄	—	104	1	no	—
1669	D₄	—	104	1	no	—
1670	D₄	—	104	1	no	—
1671	D₄	—	104	1	no	—
1672	D₄	—	104	1	no	—
1673	D₄	—	104	1	no	—
1674	D₄	—	104	1	no	—
1675	D₄	—	104	1	no	—
1676	D₄	—	104	1	no	—
1677	D₄	—	104	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	4	2	no	—
1688	C₂×C₄	—	4	2	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	13	4	no	—
1692	C₂×C₄	—	13	1	no	—
1693	C₂×C₄	—	13	1	no	—
1694	C₂×C₄	—	13	1	no	—
1695	C₂×C₄	—	13	1	no	—
1696	C₂×C₄	—	13	1	no	—
1697	C₂×C₄	—	13	1	no	—
1698	C₂×C₄	—	13	1	no	—
1699	C₂×C₄	—	26	2	no	—
1700	C₂×C₄	—	26	2	no	—
1701	C₂×C₄	—	26	1	no	—
1702	C₂×C₄	—	26	1	no	—
1703	C₂×C₄	—	26	1	no	—
1704	C₂×C₄	—	26	1	no	—
1705	C₂×C₄	—	26	1	no	—
1706	C₂×C₄	—	26	1	no	—
1707	C₂×C₄	—	26	1	no	—
1708	C₂×C₄	—	52	1	no	—
1709	C₂×C₄	—	52	2	no	—
1710	C₂×C₄	—	52	2	no	—
1711	C₂×C₄	—	52	2	no	—
1712	C₂×C₄	—	52	1	no	—
1713	C₂×C₄	—	52	1	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	—	104	1	no	—
1718	C₂×C₄	—	104	1	no	—
1719	C₂×C₄	—	104	1	no	—
1720	C₂×C₄	—	104	1	no	—
1721	C₂×C₄	—	104	1	no	—
1722	C₂×C₄	—	104	1	no	—
1723	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1724	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1727	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	26	1	no	—
1733	C₈	—	26	1	no	—
1734	C₈	—	26	1	no	—
1735	C₈	—	26	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	16	2	no	—
1751	C₂²	—	26	1	no	—
1752	C₂²	—	26	1	no	—
1753	C₂²	—	26	1	no	—
1754	C₂²	—	52	1	no	—
1755	C₂²	—	52	1	no	—
1756	C₂²	—	52	1	no	—
1757	C₂²	—	52	1	no	—
1758	C₂²	—	52	1	no	—
1759	C₂²	—	52	1	no	—
1760	C₂²	—	52	1	no	—
1761	C₂²	—	52	1	no	—
1762	C₂²	—	52	1	no	—
1763	C₂²	—	208	2	no	—
1764	C₂²	D₁₃×#135	1	2	yes	—
1765	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	2	2	no	—
1769	C₄	—	2	1	no	—
1770	C₄	—	2	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	4	1	no	—
1774	C₄	—	4	1	no	—
1775	C₄	—	13	2	no	—
1776	C₄	—	13	2	no	—
1777	C₄	—	26	1	no	—
1778	C₄	—	26	1	no	—
1779	C₄	—	26	1	no	—
1780	C₄	—	26	1	no	—
1781	C₄	—	26	1	no	—
1782	C₄	—	52	1	no	—
1783	C₄	—	52	1	no	—
1784	C₄	—	52	1	no	—
1785	C₄	—	52	1	no	—
1786	C₄	—	52	1	no	—
1787	C₄	C₂×#88251	1	1	yes	characteristic
1788	C₄	#11719650	1	1	yes	characteristic
1789	C₂	—	2	2	no	—
1790	C₂	—	4	1	no	—
1791	C₂	—	8	1	no	—
1792	C₂	—	8	1	no	—
1793	C₂	—	8	1	no	—
1794	C₂	—	52	1	no	—
1795	C₂	—	104	1	no	—
1796	C₂	—	104	1	no	—
1797	C₂	—	104	1	no	—
1798	C₂	#13128496	1	1	yes	characteristic
1799	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1800	C₂	#13129614	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×#3282	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3282	D₁₃
hypocenter	C₁₃	#61953
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. #13128704	C₂	semidirect
2. #13128426	C₂	semidirect
3. #13127845	C₂	semidirect
4. #13127843	C₂	semidirect
5. #13127533	C₂	semidirect
6. #13127527	C₂	semidirect
7. #13126770	C₂	semidirect
8. #13126768	C₂	semidirect
9. #13126692	C₂	semidirect
10. #13126690	C₂	semidirect
11. #13126688	C₂	semidirect
12. #13126686	C₂	semidirect
13. #13126590	C₂	semidirect
14. #13126589	C₂	semidirect
15. #13126544	C₂	semidirect
16. #13126543	C₂	semidirect
17. #13126536	C₂	semidirect
18. #13126159	C₂	semidirect
19. #13126157	C₂	semidirect
20. #13126147	C₂	semidirect
21. #13125815	C₂	semidirect
22. #13125807	C₂	semidirect
23. #13125752	C₂	semidirect
24. #13124894	C₂	semidirect
25. #13124889	C₂	semidirect
26. #13124870	C₂	semidirect
27. #13124290	C₂	semidirect
28. #13124287	C₂	semidirect
29. C₂×#11718824	C₂	semidirect
30. #13123943	C₂	semidirect
31. C₁₃×#3282	C₂	semidirect
32. C₂×C₁₃×#135	C₂²	semidirect
37. #11719539	C₂²	semidirect
39. #41×Dic₁₃	C₂²	semidirect
40. C₂×#88204	C₂²	semidirect
46. C₂×#88173	C₂²	semidirect
47. C₂×#88170	C₂²	semidirect
50. #11719386	C₂²	semidirect
52. #11719385	C₂²	semidirect
57. #11719346	C₂²	semidirect
60. #11719329	C₂²	semidirect
72. C₄×#6131	C₂²	semidirect
73. #11719274	C₂²	semidirect
83. C₁₃×#495	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
92. C₄×C₁₃×SD₁₆	C₂²	semidirect
94. #11718899	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718894	C₂²	semidirect
100. #11718852	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718846	C₂²	semidirect
103. Q₁₆×Dic₁₃	C₂²	semidirect
104. Q₁₆×Dic₁₃	C₂²	semidirect
105. #11718843	C₂²	semidirect
106. #11718843	C₂²	semidirect
107. #11718834	C₂²	semidirect
108. #11718833	C₂²	semidirect
109. #11718833	C₂²	semidirect
110. #11718832	C₂²	semidirect
111. #11718829	C₂²	semidirect
112. #11718827	C₂²	semidirect
113. #11718826	C₂²	semidirect
114. #11718826	C₂²	semidirect
123. #11718824	C₂²	semidirect
124. #11718823	C₂²	semidirect
125. SD₁₆×Dic₁₃	C₂²	semidirect
126. #11718819	C₂²	semidirect
127. #11718818	C₂²	semidirect
128. #11718814	C₂²	semidirect
133. D₈×Dic₁₃	C₂²	semidirect
134. #11718776	C₂²	semidirect
136. #11718774	C₂²	semidirect
139. C₈×C₂²⋊D₁₃	C₂²	semidirect
141. C₂×#88054	C₂²	semidirect
142. #11718720	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718717	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718708	C₂²	semidirect
151. #11718699	C₂²	semidirect
153. #11718696	C₂²	semidirect
154. #11718689	C₂²	semidirect
155. C₄×#6106	C₂²	semidirect
156. C₄×#6104	C₂²	semidirect
158. #11718670	C₂²	semidirect
159. #11718532	C₂²	semidirect
160. #11718531	C₂²	semidirect
161. #11718527	C₂²	semidirect
162. #11718515	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718505	C₂²	semidirect
165. D₁₃×C₄⋊C₈	C₂²	semidirect
166. #11718491	C₂²	semidirect
167. #11718480	C₂²	semidirect
168. #11718479	C₂²	semidirect
169. #11718472	C₂²	semidirect
170. #11718468	C₂²	semidirect
171. #11718465	C₂²	semidirect
172. #11718461	C₂²	semidirect
173. #11718455	C₂²	semidirect
174. #11718455	C₂²	semidirect
175. #11718452	C₂²	semidirect
176. #11718451	C₂²	semidirect
177. #11718451	C₂²	semidirect
178. #11718449	C₂²	semidirect
181. #11718445	C₂²	semidirect
182. #11718436	C₂²	semidirect
183. #11718433	C₂²	semidirect
184. #11718429	C₂²	semidirect
185. #11718427	C₂²	semidirect
186. #11718423	C₂²	semidirect
187. #11718422	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
195. #11718386	C₂²	semidirect
198. #11718379	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. #11718346	C₂²	semidirect
202. C₈×Dic₂₆	C₂²	semidirect
727. #3282	D₁₃	semidirect
825. C₂×Dic₁₃	#135	semidirect
870. C₂×#135	C₂×D₁₃	semidirect
921. #495	C₂×D₁₃	semidirect
957. #465	C₂×D₁₃	semidirect
961. #464	C₂×D₁₃	semidirect
969. #463	C₂×D₁₃	semidirect
991. #452	C₂×D₁₃	semidirect
1001. #449	C₂×D₁₃	semidirect
1015. C₄×SD₁₆	C₂×D₁₃	semidirect
1609. C₁₃	#61953	semidirect

Maximal subgroups

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

subgroup	index
#13128704	2
#13128426	2
#13127845	2
#13127843	2
#13127533	2
#13127527	2
#13126770	2
#13126768	2
#13126692	2
#13126690	2
#13126688	2
#13126686	2
#13126590	2
#13126589	2
#13126544	2
#13126543	2
#13126536	2
#13126159	2
#13126157	2
#13126147	2
#13125815	2
#13125807	2
#13125752	2
#13124894	2
#13124889	2
#13124870	2
#13124290	2
#13124287	2
C₂×#11718824	2
#13123943	2
C₁₃×#3282	2
#61953	13