Subgroups — D₁₃×#3377 #16742708

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#556	C₂	1	1	yes	maximal, characteristic
3	#13127685	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127684	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127683	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127682	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127681	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127680	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127679	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127678	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127677	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127676	C₂	1	1	yes	maximal, characteristic, complemented
13	#13127675	C₂	1	1	yes	maximal, characteristic, complemented
14	#13127674	C₂	1	1	yes	maximal, characteristic, complemented
15	#13127673	C₂	1	1	yes	maximal, characteristic, complemented
16	#13127672	C₂	1	1	yes	maximal, characteristic, complemented
17	#13127671	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#491	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#489	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#488	C₂	1	1	yes	maximal, characteristic
21	D₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#477	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#478	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#464	C₂	1	1	yes	maximal, characteristic
25	D₁₃×#464	C₂	1	1	yes	maximal, characteristic
26	D₁₃×#462	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#440	C₂	1	1	yes	maximal, characteristic
30	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#556	C₂²	1	1	yes	characteristic
34	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	#11719437	C₂²	1	1	yes	characteristic
38	D₁₃×C₄⋊Q₈	—	2	1	no	—
39	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
40	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	#11719426	—	2	1	no	—
42	#11719426	C₂²	1	1	yes	characteristic, complemented
43	D₁₃×#126	—	2	1	no	—
44	D₁₃×#126	—	2	1	no	—
45	#11719407	—	2	1	no	—
46	#11719407	—	2	1	no	—
47	D₁₃×#125	—	2	1	no	—
48	D₁₃×#125	—	2	1	no	—
49	D₁₃×#125	C₂²	1	1	yes	characteristic
50	D₁₃×#125	C₂²	1	1	yes	characteristic
51	#11719390	—	2	1	no	—
52	#11719390	—	2	1	no	—
53	#11719390	C₂²	1	1	yes	characteristic, complemented
54	#11719390	C₂²	1	1	yes	characteristic, complemented
55	D₁₃×#124	C₂²	1	1	yes	characteristic
56	D₁₃×#124	C₂²	1	1	yes	characteristic
57	#11719376	C₂²	1	1	yes	characteristic
58	#11719376	C₂²	1	1	yes	characteristic
59	#11719346	—	2	1	no	—
60	D₁₃×C₂²⋊Q₈	—	2	1	no	—
61	#11719289	C₂²	1	1	yes	characteristic
62	C₄×Q₈×D₁₃	—	2	1	no	—
63	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
66	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
67	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
68	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
69	#11719275	C₂²	1	1	yes	characteristic, complemented
70	#11719274	C₂²	1	1	yes	characteristic, complemented
71	#11719274	C₂²	1	1	yes	characteristic, complemented
72	#11719273	C₂²	1	1	yes	characteristic
73	#11719273	C₂²	1	1	yes	characteristic
74	#11719272	—	2	1	no	—
75	#11719272	C₂²	1	1	yes	characteristic, complemented
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	#11719247	C₂²	1	1	yes	characteristic
78	#11719238	—	2	1	no	—
79	D₁₃×#117	—	2	1	no	—
80	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#489	C₂²	1	1	yes	characteristic
82	C₁₃×#488	C₂²	1	1	yes	characteristic
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#464	C₂²	1	1	yes	characteristic
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic
92	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	#11718846	C₂²	1	1	yes	characteristic
94	#11718846	C₂²	1	1	yes	characteristic
95	#11718845	C₂²	1	1	yes	characteristic, complemented
96	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
97	#11718843	C₂²	1	1	yes	characteristic, complemented
98	#11718843	C₂²	1	1	yes	characteristic, complemented
99	#11718827	C₂²	1	1	yes	characteristic
100	#11718827	C₂²	1	1	yes	characteristic
101	#11718825	C₂²	1	1	yes	characteristic
102	#11718752	C₂²	1	1	yes	characteristic, complemented
103	#11718751	C₂²	1	1	yes	characteristic, complemented
104	#11718750	C₂²	1	1	yes	characteristic
105	#11718743	C₂²	1	1	yes	characteristic, complemented
106	#11718730	C₂²	1	1	yes	characteristic, complemented
107	#11718729	C₂²	1	1	yes	characteristic
108	#11718727	C₂²	1	1	yes	characteristic
109	#11718724	C₂²	1	1	yes	characteristic, complemented
110	#11718717	C₂²	1	1	yes	characteristic
111	#11718716	C₂²	1	1	yes	characteristic
112	#11718715	C₂²	1	1	yes	characteristic
113	#11718715	C₂²	1	1	yes	characteristic
114	#11718692	C₂²	1	1	yes	characteristic, complemented
115	#11718691	C₂²	1	1	yes	characteristic, complemented
116	#11718691	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
118	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
119	#11718689	C₂²	1	1	yes	characteristic
120	#11718689	C₂²	1	1	yes	characteristic
121	#11718687	C₂²	1	1	yes	characteristic
122	#11718685	C₂²	1	1	yes	characteristic, complemented
123	#11718683	C₂²	1	1	yes	characteristic, complemented
124	#11718682	C₂²	1	1	yes	characteristic, complemented
125	#11718679	C₂²	1	1	yes	characteristic
126	#11718670	C₂²	1	1	yes	characteristic
127	#11718552	C₂²	1	1	yes	characteristic
128	#11718550	C₂²	1	1	yes	characteristic
129	D₁₃×#107	C₂²	1	1	yes	characteristic
130	D₁₃×#107	C₂²	1	1	yes	characteristic
131	#11718538	C₂²	1	1	yes	characteristic, complemented
132	#11718536	C₂²	1	1	yes	characteristic, complemented
133	#11718536	C₂²	1	1	yes	characteristic, complemented
134	#11718534	C₂²	1	1	yes	characteristic, complemented
135	#11718532	C₂²	1	1	yes	characteristic
136	D₁₃×#106	C₂²	1	1	yes	characteristic
137	#11718518	C₂²	1	1	yes	characteristic, complemented
138	#11718514	C₂²	1	1	yes	characteristic, complemented
139	#11718511	C₂²	1	1	yes	characteristic, complemented
140	#11718510	C₂²	1	1	yes	characteristic, complemented
141	#11718508	C₂²	1	1	yes	characteristic
142	#11718506	C₂²	1	1	yes	characteristic
143	#11718506	C₂²	1	1	yes	characteristic
144	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
145	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
146	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
147	#11718492	C₂²	1	1	yes	characteristic, complemented
148	#11718490	C₂²	1	1	yes	characteristic, complemented
149	#11718489	C₂²	1	1	yes	characteristic, complemented
150	#11718489	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic
152	D₁₃×#103	C₂²	1	1	yes	characteristic
153	D₁₃×#103	C₂²	1	1	yes	characteristic
154	D₁₃×#103	C₂²	1	1	yes	characteristic
155	D₁₃×#103	C₂²	1	1	yes	characteristic
156	D₁₃×#103	C₂²	1	1	yes	characteristic
157	D₁₃×#103	C₂²	1	1	yes	characteristic
158	D₁₃×#103	C₂²	1	1	yes	characteristic
159	#11718461	C₂²	1	1	yes	characteristic
160	#11718461	C₂²	1	1	yes	characteristic
161	#11718460	C₂²	1	1	yes	characteristic, complemented
162	#11718459	C₂²	1	1	yes	characteristic
163	#11718459	C₂²	1	1	yes	characteristic
164	#11718458	C₂²	1	1	yes	characteristic, complemented
165	#11718458	C₂²	1	1	yes	characteristic, complemented
166	#11718458	C₂²	1	1	yes	characteristic, complemented
167	#11718458	C₂²	1	1	yes	characteristic, complemented
168	#11718457	C₂²	1	1	yes	characteristic, complemented
169	#11718456	C₂²	1	1	yes	characteristic
170	#11718456	C₂²	1	1	yes	characteristic
171	#11718455	C₂²	1	1	yes	characteristic, complemented
172	#11718455	C₂²	1	1	yes	characteristic, complemented
173	#11718454	C₂²	1	1	yes	characteristic, complemented
174	#11718454	C₂²	1	1	yes	characteristic, complemented
175	#11718451	C₂²	1	1	yes	characteristic, complemented
176	#11718451	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic
180	D₁₃×#102	C₂²	1	1	yes	characteristic
181	D₁₃×#102	C₂²	1	1	yes	characteristic
182	#11718429	C₂²	1	1	yes	characteristic
183	#11718429	C₂²	1	1	yes	characteristic
184	#11718428	C₂²	1	1	yes	characteristic
185	#11718428	C₂²	1	1	yes	characteristic
186	#11718427	C₂²	1	1	yes	characteristic
187	#11718426	C₂²	1	1	yes	characteristic
188	#11718426	C₂²	1	1	yes	characteristic
189	#11718424	C₂²	1	1	yes	characteristic
190	#11718418	C₂²	1	1	yes	characteristic
191	#11718377	C₂²	1	1	yes	characteristic, complemented
192	#11718375	C₂²	1	1	yes	characteristic
193	#11718371	C₂²	1	1	yes	characteristic
194	D₁₃×#97	C₂²	1	1	yes	characteristic
195	D₁₃×#97	C₂²	1	1	yes	characteristic
196	#11718364	C₂²	1	1	yes	characteristic, complemented
197	#11718362	C₂²	1	1	yes	characteristic, complemented
198	#11718362	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
200	#11718358	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
202	#11718340	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈×D₁₃	—	2	1	no	—
204	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	—	2	1	no	—
210	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
213	C₁₃×C₄⋊Q₈	—	2	1	no	—
214	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×#126	—	2	1	no	—
217	C₁₃×#126	—	2	1	no	—
218	C₁₃×#125	—	2	1	no	—
219	C₁₃×#125	—	2	1	no	—
220	C₁₃×#125	C₂³	1	1	yes	characteristic
221	C₁₃×#125	C₂³	1	1	yes	characteristic
222	C₁₃×#124	C₂³	1	1	yes	characteristic
223	C₁₃×#124	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₁₃×#117	—	2	1	no	—
234	#88201	C₂³	1	1	yes	characteristic
235	#88201	C₂³	1	1	yes	characteristic
236	#88200	—	2	1	no	—
237	Q₈×Dic₁₃	—	2	1	no	—
238	Q₈×Dic₁₃	D₄	1	1	yes	characteristic
239	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
240	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
241	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
242	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
243	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
244	#88198	—	2	1	no	—
245	#88198	—	2	1	no	—
246	#88198	—	2	1	no	—
247	#88198	C₂³	1	1	yes	characteristic
248	#88198	C₂³	1	1	yes	characteristic
249	C₂×#6107	C₂³	1	1	yes	characteristic
250	C₂×#6107	C₂³	1	1	yes	characteristic
251	C₂×#6107	C₂³	1	1	yes	characteristic
252	C₂×#6107	C₂³	1	1	yes	characteristic
253	C₂×#6106	C₂³	1	1	yes	characteristic
254	#88190	C₂³	1	1	yes	characteristic
255	#88190	C₂³	1	1	yes	characteristic
256	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×#6105	C₂³	1	1	yes	characteristic
258	C₄×C₂²⋊D₁₃	—	2	1	no	—
259	#88180	—	2	1	no	—
260	#88178	—	2	1	no	—
261	Q₁₆×D₁₃	—	2	4	no	—
262	Q₁₆×D₁₃	—	2	4	no	—
263	SD₁₆×D₁₃	—	2	4	no	—
264	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
265	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
266	C₂×#6095	C₂³	1	1	yes	characteristic
267	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
271	#88152	—	2	1	no	—
272	#88152	—	2	1	no	—
273	#88152	—	2	1	no	—
274	#88152	—	2	1	no	—
275	#88152	—	2	1	no	—
276	#88152	—	2	1	no	—
277	#88151	—	2	1	no	—
278	#88150	—	2	1	no	—
279	#88150	—	2	1	no	—
280	#88147	C₂³	1	1	yes	characteristic
281	#88146	—	2	1	no	—
282	#88146	—	2	1	no	—
283	C₄⋊C₄×D₁₃	—	2	1	no	—
284	C₄⋊C₄×D₁₃	—	2	1	no	—
285	C₄⋊C₄×D₁₃	—	2	1	no	—
286	C₄⋊C₄×D₁₃	—	2	1	no	—
287	C₄⋊C₄×D₁₃	—	2	1	no	—
288	C₄⋊C₄×D₁₃	—	2	1	no	—
289	C₄⋊C₄×D₁₃	—	2	1	no	—
290	C₄⋊C₄×D₁₃	—	2	1	no	—
291	C₄⋊C₄×D₁₃	—	2	1	no	—
292	C₄⋊C₄×D₁₃	—	2	1	no	—
293	C₄⋊C₄×D₁₃	—	2	1	no	—
294	C₄⋊C₄×D₁₃	—	2	1	no	—
295	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
296	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
297	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
298	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
299	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
300	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
301	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
302	#88144	—	2	1	no	—
303	#88144	—	2	1	no	—
304	#88144	—	2	1	no	—
305	#88144	—	2	1	no	—
306	#88144	C₂³	1	1	yes	characteristic
307	#88144	C₂³	1	1	yes	characteristic
308	#88144	C₂³	1	1	yes	characteristic
309	#88144	C₂³	1	1	yes	characteristic
310	#88143	—	2	1	no	—
311	#88143	—	2	1	no	—
312	#88143	—	2	1	no	—
313	#88143	—	2	1	no	—
314	#88143	—	2	1	no	—
315	#88143	—	2	1	no	—
316	#88143	—	2	1	no	—
317	#88143	—	2	1	no	—
318	#88143	—	2	1	no	—
319	#88143	—	2	1	no	—
320	#88143	—	2	1	no	—
321	#88143	—	2	1	no	—
322	#88142	—	2	1	no	—
323	#88142	—	2	1	no	—
324	#88142	—	2	1	no	—
325	#88142	—	2	1	no	—
326	#88142	—	2	1	no	—
327	#88142	—	2	1	no	—
328	#88142	—	2	1	no	—
329	#88142	C₂³	1	1	yes	characteristic
330	#88142	C₂³	1	1	yes	characteristic
331	#88141	—	2	1	no	—
332	#88141	—	2	1	no	—
333	#88141	—	2	1	no	—
334	#88141	—	2	1	no	—
335	#88141	—	2	1	no	—
336	#88141	—	2	1	no	—
337	#88141	—	2	1	no	—
338	#88141	—	2	1	no	—
339	#88141	D₄	1	1	yes	characteristic
340	#88141	D₄	1	1	yes	characteristic
341	#88141	D₄	1	1	yes	characteristic
342	#88141	C₂³	1	1	yes	characteristic
343	#88141	C₂³	1	1	yes	characteristic
344	#88141	C₂³	1	1	yes	characteristic
345	#88141	C₂³	1	1	yes	characteristic
346	#88141	C₂³	1	1	yes	characteristic
347	#88139	—	2	1	no	—
348	#88139	—	2	1	no	—
349	#88139	—	2	1	no	—
350	#88139	—	2	1	no	—
351	#88135	—	2	1	no	—
352	C₂²⋊C₄×D₁₃	—	2	1	no	—
353	C₂²⋊C₄×D₁₃	—	2	1	no	—
354	C₂²⋊C₄×D₁₃	—	2	1	no	—
355	C₂²⋊C₄×D₁₃	—	2	1	no	—
356	C₂²⋊C₄×D₁₃	—	2	1	no	—
357	#88133	—	2	1	no	—
358	#88133	—	2	1	no	—
359	#88133	—	2	1	no	—
360	#88133	—	2	1	no	—
361	#88133	—	2	1	no	—
362	#88133	—	2	1	no	—
363	#88132	—	2	1	no	—
364	#88132	—	2	1	no	—
365	#88131	—	2	1	no	—
366	#88131	—	2	1	no	—
367	#88130	—	2	1	no	—
368	#88130	—	2	1	no	—
369	#88129	C₂³	1	1	yes	characteristic
370	#88129	C₂³	1	1	yes	characteristic
371	C₄×D₅₂	C₂³	1	1	yes	characteristic
372	#88126	—	2	1	no	—
373	#88126	—	2	1	no	—
374	C₄²×D₁₃	—	2	1	no	—
375	C₄²×D₁₃	—	2	1	no	—
376	C₄²×D₁₃	—	2	1	no	—
377	C₄²×D₁₃	—	2	1	no	—
378	C₄²×D₁₃	—	2	1	no	—
379	C₄²×D₁₃	C₂³	1	1	yes	characteristic
380	C₄²×D₁₃	C₂³	1	1	yes	characteristic
381	C₄²×D₁₃	C₂³	1	1	yes	characteristic
382	#88124	—	2	1	no	—
383	#88124	—	2	1	no	—
384	#88124	C₂³	1	1	yes	characteristic
385	#88124	C₂³	1	1	yes	characteristic
386	#88123	—	2	1	no	—
387	#88123	C₂³	1	1	yes	characteristic
388	#88123	C₂³	1	1	yes	characteristic
389	C₄×Dic₂₆	—	2	1	no	—
390	C₄×Dic₂₆	—	2	1	no	—
391	C₄×Dic₂₆	—	2	1	no	—
392	C₄×Dic₂₆	—	2	1	no	—
393	C₄×Dic₂₆	—	2	1	no	—
394	C₄×Dic₂₆	—	2	1	no	—
395	C₄×Dic₂₆	—	2	1	no	—
396	C₄×Dic₂₆	—	2	1	no	—
397	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
398	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
399	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
400	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
401	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
402	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
403	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
404	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#106	C₂³	1	1	yes	characteristic
408	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₁₃×#103	C₂³	1	1	yes	characteristic
412	C₁₃×#103	C₂³	1	1	yes	characteristic
413	C₁₃×#103	C₂³	1	1	yes	characteristic
414	C₁₃×#103	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#97	C₂³	1	1	yes	characteristic
422	C₁₃×#97	C₂³	1	1	yes	characteristic
423	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88061	C₂³	1	1	yes	characteristic
435	#88061	C₂³	1	1	yes	characteristic
436	#88061	C₂³	1	1	yes	characteristic
437	#88058	C₂³	1	1	yes	characteristic
438	#88058	C₂³	1	1	yes	characteristic
439	#88057	C₂³	1	1	yes	characteristic
440	#88056	C₂³	1	1	yes	characteristic
441	#88056	C₂³	1	1	yes	characteristic
442	#88056	C₂³	1	1	yes	characteristic
443	#88056	C₂³	1	1	yes	characteristic
444	#88056	C₂³	1	1	yes	characteristic
445	#88056	C₂³	1	1	yes	characteristic
446	#88056	C₂³	1	1	yes	characteristic
447	#88055	C₂³	1	1	yes	characteristic
448	#88055	C₂³	1	1	yes	characteristic
449	#88055	C₂³	1	1	yes	characteristic
450	#88055	C₂³	1	1	yes	characteristic
451	#88054	C₂³	1	1	yes	characteristic
452	#88054	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	#88050	C₂³	1	1	yes	characteristic
460	#88050	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88047	C₂³	1	1	yes	characteristic
472	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	C₄⋊#1055	C₂³	1	1	yes	characteristic
476	C₄⋊#1055	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	C₂×#3377	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₁₃	—	2	1	no	—
490	C₂×C₂²⋊D₁₃	—	2	1	no	—
491	C₂²×Dic₁₃	—	2	1	no	—
492	Q₈×D₁₃	—	2	2	no	—
493	Q₈×D₁₃	—	2	2	no	—
494	Q₈×D₁₃	—	2	2	no	—
495	Q₈×D₁₃	—	2	2	no	—
496	Q₈×D₁₃	—	2	2	no	—
497	Q₈×D₁₃	—	4	2	no	—
498	Q₈×D₁₃	—	4	4	no	—
499	Q₈×D₁₃	#41	1	4	yes	—
500	D₄×D₁₃	—	2	2	no	—
501	D₄×D₁₃	—	2	2	no	—
502	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
503	C₂×C₄×D₁₃	—	2	1	no	—
504	C₂×C₄×D₁₃	—	2	1	no	—
505	C₂×C₄×D₁₃	—	2	1	no	—
506	C₂×C₄×D₁₃	—	2	1	no	—
507	C₂×C₄×D₁₃	—	2	1	no	—
508	C₂×C₄×D₁₃	—	2	1	no	—
509	C₂×C₄×D₁₃	—	2	1	no	—
510	C₂×C₄×D₁₃	—	2	1	no	—
511	C₂×C₄×D₁₃	—	2	1	no	—
512	C₂×C₄×D₁₃	—	4	4	no	—
513	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×Dic₂₆	—	2	1	no	—
521	C₂×Dic₂₆	—	2	1	no	—
522	C₂×Dic₂₆	—	2	1	no	—
523	C₂×Dic₂₆	—	2	1	no	—
524	C₂×Dic₂₆	—	2	1	no	—
525	C₂×Dic₂₆	—	2	1	no	—
526	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
527	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
528	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
529	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
530	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
531	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
532	C₁₃×Q₁₆	—	2	2	no	—
533	C₁₃×Q₁₆	—	2	2	no	—
534	C₁₃×SD₁₆	—	2	2	no	—
535	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₁₃×C₄⋊C₄	—	2	1	no	—
540	C₁₃×C₄⋊C₄	—	2	1	no	—
541	C₁₃×C₄⋊C₄	—	2	1	no	—
542	C₁₃×C₄⋊C₄	—	2	1	no	—
543	C₁₃×C₄⋊C₄	—	2	1	no	—
544	C₁₃×C₄⋊C₄	—	2	1	no	—
545	C₁₃×C₄⋊C₄	—	2	1	no	—
546	C₁₃×C₄⋊C₄	—	2	1	no	—
547	C₁₃×C₄⋊C₄	—	2	1	no	—
548	C₁₃×C₄⋊C₄	—	2	1	no	—
549	C₁₃×C₄⋊C₄	—	2	1	no	—
550	C₁₃×C₄⋊C₄	—	2	1	no	—
551	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
553	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
556	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
558	C₁₃×C₂²⋊C₄	—	2	1	no	—
559	C₁₃×C₂²⋊C₄	—	2	1	no	—
560	C₁₃×C₂²⋊C₄	—	2	1	no	—
561	C₁₃×C₂²⋊C₄	—	2	1	no	—
562	C₁₃×C₂²⋊C₄	—	2	1	no	—
563	C₄²×C₁₃	—	2	1	no	—
564	C₄²×C₁₃	—	2	1	no	—
565	C₄²×C₁₃	—	2	1	no	—
566	C₄²×C₁₃	—	2	1	no	—
567	C₄²×C₁₃	—	2	1	no	—
568	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂²⋊Dic₁₃	—	2	1	no	—
572	C₂²⋊Dic₁₃	—	2	1	no	—
573	C₂²⋊Dic₁₃	—	2	1	no	—
574	C₂²⋊Dic₁₃	—	2	1	no	—
575	C₂²⋊Dic₁₃	—	2	1	no	—
576	#6107	—	2	2	no	—
577	#6107	—	2	2	no	—
578	#6107	—	2	2	no	—
579	#6107	—	2	2	no	—
580	#6106	—	2	2	no	—
581	#6105	—	2	2	no	—
582	#6103	—	2	1	no	—
583	#6103	—	2	1	no	—
584	#6103	—	2	1	no	—
585	#6103	—	2	1	no	—
586	#6103	—	2	1	no	—
587	#6103	—	2	1	no	—
588	#6103	—	2	1	no	—
589	#6103	—	2	1	no	—
590	#6103	—	2	1	no	—
591	#6103	—	2	1	no	—
592	C₄⋊Dic₁₃	—	2	1	no	—
593	C₄⋊Dic₁₃	—	2	1	no	—
594	C₄⋊Dic₁₃	—	2	1	no	—
595	C₄⋊Dic₁₃	—	2	1	no	—
596	C₄⋊Dic₁₃	—	2	1	no	—
597	C₄⋊Dic₁₃	—	2	1	no	—
598	C₄⋊Dic₁₃	—	2	1	no	—
599	C₄⋊Dic₁₃	—	2	1	no	—
600	C₄⋊Dic₁₃	—	2	1	no	—
601	C₄⋊Dic₁₃	—	2	1	no	—
602	C₄⋊Dic₁₃	—	2	1	no	—
603	C₄⋊Dic₁₃	—	2	1	no	—
604	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
605	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
606	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
607	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
608	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
609	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
610	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
611	#6101	—	2	1	no	—
612	#6101	—	2	1	no	—
613	#6101	—	2	1	no	—
614	#6101	—	2	1	no	—
615	#6101	—	2	1	no	—
616	#6101	—	2	1	no	—
617	#6101	—	2	1	no	—
618	#6101	—	2	1	no	—
619	#6101	—	2	1	no	—
620	#6101	—	2	1	no	—
621	#6101	—	2	1	no	—
622	#6101	—	2	1	no	—
623	#6101	—	2	1	no	—
624	#6101	—	2	1	no	—
625	#6101	—	2	1	no	—
626	#6101	—	2	1	no	—
627	#6101	—	2	1	no	—
628	#6101	—	2	1	no	—
629	#6101	—	2	1	no	—
630	#6101	—	2	1	no	—
631	#6101	—	2	1	no	—
632	#6101	—	2	1	no	—
633	#6101	—	2	1	no	—
634	#6101	—	2	1	no	—
635	#6101	—	2	1	no	—
636	#6101	—	2	1	no	—
637	#6101	—	2	1	no	—
638	#6101	—	2	1	no	—
639	#6101	C₂×D₄	1	1	yes	characteristic
640	#6101	C₂×D₄	1	1	yes	characteristic
641	#6101	C₂×D₄	1	1	yes	characteristic
642	#6101	C₂×D₄	1	1	yes	characteristic
643	#6101	C₂×D₄	1	1	yes	characteristic
644	#6101	C₂×D₄	1	1	yes	characteristic
645	C₄×Dic₁₃	—	2	1	no	—
646	C₄×Dic₁₃	—	2	1	no	—
647	C₄×Dic₁₃	—	2	1	no	—
648	C₄×Dic₁₃	—	2	1	no	—
649	C₄×Dic₁₃	—	2	1	no	—
650	C₄×Dic₁₃	—	2	1	no	—
651	C₄×Dic₁₃	—	2	1	no	—
652	C₄×Dic₁₃	—	2	1	no	—
653	C₄×Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
661	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₂×#1055	C₂⁴	1	1	yes	characteristic
670	C₂×#1055	C₂⁴	1	1	yes	characteristic
671	C₂×#1055	C₂⁴	1	1	yes	characteristic
672	C₂×#1055	C₂⁴	1	1	yes	characteristic
673	Dic₅₂	—	2	2	no	—
674	Dic₅₂	—	2	2	no	—
675	#6095	—	2	2	no	—
676	C₈×D₁₃	—	2	2	no	—
677	C₈×D₁₃	—	2	2	no	—
678	C₈×D₁₃	—	2	2	no	—
679	C₈×D₁₃	—	2	2	no	—
680	C₂×#557	—	13	1	no	—
681	C₂×#556	—	13	1	no	—
682	#3377	—	13	1	no	—
683	#3377	—	13	1	no	—
684	#3377	—	13	1	no	—
685	#3377	—	13	1	no	—
686	#3377	—	13	1	no	—
687	#3377	—	13	1	no	—
688	#3377	—	13	1	no	—
689	#3377	—	13	1	no	—
690	#3377	—	13	1	no	—
691	#3377	—	13	1	no	—
692	#3377	—	13	1	no	—
693	#3377	—	13	1	no	—
694	#3377	—	13	1	no	—
695	#3377	—	13	1	no	—
696	#3377	—	13	1	no	—
697	#3377	D₁₃	1	1	yes	characteristic, direct product factor
698	C₂×#491	—	13	1	no	—
699	C₂×#489	—	13	1	no	—
700	C₂×#488	—	13	1	no	—
701	C₂×#479	—	13	1	no	—
702	C₂×#477	—	13	1	no	—
703	C₂×#478	—	13	1	no	—
704	C₂×#464	—	13	1	no	—
705	C₂×#464	—	13	1	no	—
706	C₂×#462	—	13	1	no	—
707	C₂×#446	—	13	1	no	—
708	C₂×#441	—	13	1	no	—
709	C₂×#440	—	13	1	no	—
710	C₂×C₄×Q₁₆	—	13	1	no	—
711	C₂³×C₁₃	—	2	1	no	—
712	C₂²×D₁₃	—	2	1	no	—
713	C₂²×D₁₃	—	4	2	no	—
714	C₂²×D₁₃	—	4	2	no	—
715	C₂²×D₁₃	—	4	2	no	—
716	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
717	Q₈×C₁₃	—	2	1	no	—
718	Q₈×C₁₃	—	2	1	no	—
719	Q₈×C₁₃	—	2	1	no	—
720	Q₈×C₁₃	—	2	1	no	—
721	Q₈×C₁₃	—	2	1	no	—
722	Q₈×C₁₃	—	4	1	no	—
723	Q₈×C₁₃	—	4	2	no	—
724	Q₈×C₁₃	C₂×#41	1	2	yes	—
725	D₄×C₁₃	—	2	1	no	—
726	D₄×C₁₃	—	2	1	no	—
727	C₂×C₄×C₁₃	—	2	1	no	—
728	C₂×C₄×C₁₃	—	2	1	no	—
729	C₂×C₄×C₁₃	—	2	1	no	—
730	C₂×C₄×C₁₃	—	2	1	no	—
731	C₂×C₄×C₁₃	—	2	1	no	—
732	C₂×C₄×C₁₃	—	2	1	no	—
733	C₂×C₄×C₁₃	—	2	1	no	—
734	C₂×C₄×C₁₃	—	4	2	no	—
735	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
742	C₂²⋊D₁₃	—	4	2	no	—
743	C₂×Dic₁₃	—	2	1	no	—
744	C₂×Dic₁₃	—	2	1	no	—
745	C₂×Dic₁₃	—	2	1	no	—
746	C₂×Dic₁₃	—	2	1	no	—
747	C₂×Dic₁₃	—	2	1	no	—
748	C₂×Dic₁₃	—	2	1	no	—
749	C₂×Dic₁₃	—	2	1	no	—
750	C₂×Dic₁₃	—	4	2	no	—
751	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
752	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
758	D₅₂	—	2	1	no	—
759	D₅₂	—	2	1	no	—
760	C₄×D₁₃	—	2	4	no	—
761	C₄×D₁₃	—	2	2	no	—
762	C₄×D₁₃	—	2	2	no	—
763	C₄×D₁₃	—	2	2	no	—
764	C₄×D₁₃	—	2	2	no	—
765	C₄×D₁₃	—	2	2	no	—
766	C₄×D₁₃	—	2	2	no	—
767	C₄×D₁₃	—	4	2	no	—
768	C₄×D₁₃	—	4	2	no	—
769	C₄×D₁₃	—	4	2	no	—
770	C₄×D₁₃	—	4	2	no	—
771	C₄×D₁₃	—	4	2	no	—
772	C₄×D₁₃	—	4	2	no	—
773	C₄×D₁₃	—	4	2	no	—
774	C₄×D₁₃	—	4	2	no	—
775	C₄×D₁₃	C₂×#41	1	2	yes	—
776	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
777	Dic₂₆	—	2	1	no	—
778	Dic₂₆	—	2	4	no	—
779	Dic₂₆	—	2	1	no	—
780	Dic₂₆	—	2	1	no	—
781	Dic₂₆	—	2	1	no	—
782	Dic₂₆	—	2	1	no	—
783	Dic₂₆	—	4	1	no	—
784	Dic₂₆	—	4	1	no	—
785	Dic₂₆	—	4	1	no	—
786	Dic₂₆	—	4	2	no	—
787	Dic₂₆	—	4	2	no	—
788	Dic₂₆	—	4	2	no	—
789	Dic₂₆	—	4	2	no	—
790	Dic₂₆	—	4	2	no	—
791	Dic₂₆	C₂×#41	1	2	yes	—
792	C₈×C₁₃	—	2	1	no	—
793	C₈×C₁₃	—	2	1	no	—
794	C₈×C₁₃	—	2	1	no	—
795	C₈×C₁₃	—	2	1	no	—
796	#1055	—	2	1	no	—
797	#1055	—	2	1	no	—
798	#1055	—	2	1	no	—
799	#1055	—	2	1	no	—
800	C₂²×Q₁₆	—	13	1	no	—
801	C₂²×Q₁₆	—	13	1	no	—
802	C₂²×SD₁₆	—	13	1	no	—
803	#557	—	13	1	no	—
804	#557	—	13	1	no	—
805	#557	—	13	1	no	—
806	#557	—	13	1	no	—
807	#557	—	13	1	no	—
808	#557	—	13	1	no	—
809	#557	—	13	1	no	—
810	#557	—	26	1	no	—
811	#557	—	26	1	no	—
812	#557	—	26	1	no	—
813	#557	—	26	1	no	—
814	#557	C₂×D₁₃	1	1	yes	characteristic, complemented
815	#556	—	13	1	no	—
816	#556	—	13	1	no	—
817	#556	—	13	1	no	—
818	#556	—	13	1	no	—
819	#556	—	13	1	no	—
820	#556	—	13	1	no	—
821	#556	—	13	1	no	—
822	#556	—	26	1	no	—
823	#556	—	26	1	no	—
824	#556	—	26	1	no	—
825	#556	—	26	1	no	—
826	#556	C₂×D₁₃	1	1	yes	characteristic
827	C₂×C₄⋊Q₈	—	13	1	no	—
828	C₂×C₄⋊Q₈	—	13	1	no	—
829	C₂×C₄⋊Q₈	—	26	1	no	—
830	C₂×#126	—	26	1	no	—
831	C₂×#126	—	26	1	no	—
832	C₂×#125	—	13	1	no	—
833	C₂×#125	—	13	1	no	—
834	C₂×#125	—	26	1	no	—
835	C₂×#125	—	26	1	no	—
836	C₂×#124	—	13	1	no	—
837	C₂×#124	—	13	1	no	—
838	C₂×C₂²⋊Q₈	—	26	1	no	—
839	C₂×C₄×Q₈	—	13	1	no	—
840	C₂×C₄×Q₈	—	13	1	no	—
841	C₂×C₄×Q₈	—	13	1	no	—
842	C₂×C₄×Q₈	—	13	1	no	—
843	C₂×C₄×Q₈	—	13	1	no	—
844	C₂×C₄×Q₈	—	13	1	no	—
845	C₂×C₄×Q₈	—	26	1	no	—
846	C₂×C₄×D₄	—	13	1	no	—
847	C₂×#117	—	26	1	no	—
848	#491	—	13	1	no	—
849	#491	—	13	1	no	—
850	#491	—	13	1	no	—
851	#491	—	13	1	no	—
852	#491	—	13	1	no	—
853	#491	—	13	1	no	—
854	#491	—	13	1	no	—
855	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
856	#489	—	13	1	no	—
857	#489	—	13	1	no	—
858	#489	—	13	1	no	—
859	#489	—	13	1	no	—
860	#489	—	13	1	no	—
861	#489	—	13	1	no	—
862	#489	—	13	1	no	—
863	#489	C₂×D₁₃	1	1	yes	characteristic
864	#488	—	13	1	no	—
865	#488	—	13	1	no	—
866	#488	—	13	1	no	—
867	#488	—	13	1	no	—
868	#488	—	13	1	no	—
869	#488	—	13	1	no	—
870	#488	—	13	1	no	—
871	#488	C₂×D₁₃	1	1	yes	characteristic
872	#479	—	13	1	no	—
873	#479	—	13	1	no	—
874	#479	—	13	1	no	—
875	#479	—	13	1	no	—
876	#479	—	13	1	no	—
877	#479	—	13	1	no	—
878	#479	—	13	1	no	—
879	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
880	#478	—	13	1	no	—
881	#478	—	13	1	no	—
882	#478	—	13	1	no	—
883	#478	—	13	1	no	—
884	#478	—	13	1	no	—
885	#478	—	13	1	no	—
886	#478	—	13	1	no	—
887	#478	C₂×D₁₃	1	1	yes	characteristic
888	#477	—	13	1	no	—
889	#477	—	13	1	no	—
890	#477	—	13	1	no	—
891	#477	—	13	1	no	—
892	#477	—	13	1	no	—
893	#477	—	13	1	no	—
894	#477	—	13	1	no	—
895	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
896	#464	—	13	1	no	—
897	#464	—	13	1	no	—
898	#464	—	13	1	no	—
899	#464	—	13	1	no	—
900	#464	—	13	1	no	—
901	#464	—	13	1	no	—
902	#464	—	13	1	no	—
903	#464	—	13	1	no	—
904	#464	—	13	1	no	—
905	#464	—	13	1	no	—
906	#464	—	13	1	no	—
907	#464	—	13	1	no	—
908	#464	—	13	1	no	—
909	#464	—	13	1	no	—
910	#464	C₂×D₁₃	1	1	yes	characteristic
911	#464	C₂×D₁₃	1	1	yes	characteristic
912	#462	—	13	1	no	—
913	#462	—	13	1	no	—
914	#462	—	13	1	no	—
915	#462	—	13	1	no	—
916	#462	—	13	1	no	—
917	#462	—	13	1	no	—
918	#462	—	13	1	no	—
919	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
920	#446	—	13	1	no	—
921	#446	—	13	1	no	—
922	#446	—	13	1	no	—
923	#446	—	13	1	no	—
924	#446	—	13	1	no	—
925	#446	—	13	1	no	—
926	#446	—	13	1	no	—
927	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#441	—	13	1	no	—
929	#441	—	13	1	no	—
930	#441	—	13	1	no	—
931	#441	—	13	1	no	—
932	#441	—	13	1	no	—
933	#441	—	13	1	no	—
934	#441	—	13	1	no	—
935	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
936	#440	—	13	1	no	—
937	#440	—	13	1	no	—
938	#440	—	13	1	no	—
939	#440	—	13	1	no	—
940	#440	—	13	1	no	—
941	#440	—	13	1	no	—
942	#440	—	13	1	no	—
943	#440	C₂×D₁₃	1	1	yes	characteristic
944	C₄×Q₁₆	—	13	1	no	—
945	C₄×Q₁₆	—	13	1	no	—
946	C₄×Q₁₆	—	13	1	no	—
947	C₄×Q₁₆	—	13	1	no	—
948	C₄×Q₁₆	—	13	1	no	—
949	C₄×Q₁₆	—	13	1	no	—
950	C₄×Q₁₆	—	13	1	no	—
951	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
952	C₂×#107	—	13	1	no	—
953	C₂×#107	—	13	1	no	—
954	C₂×#106	—	13	1	no	—
955	C₂×C₄⋊C₈	—	13	1	no	—
956	C₂×C₄⋊C₈	—	13	1	no	—
957	C₂×C₄⋊C₈	—	13	1	no	—
958	C₂×#103	—	13	1	no	—
959	C₂×#103	—	13	1	no	—
960	C₂×#103	—	13	1	no	—
961	C₂×#103	—	13	1	no	—
962	C₂×#103	—	13	1	no	—
963	C₂×#103	—	13	1	no	—
964	C₂×#103	—	13	1	no	—
965	C₂×#102	—	13	1	no	—
966	C₂×#102	—	13	1	no	—
967	C₂×#102	—	13	1	no	—
968	C₂×#97	—	13	1	no	—
969	C₂×#97	—	13	1	no	—
970	C₂×C₄×C₈	—	13	1	no	—
971	C₂²×C₁₃	—	4	1	no	—
972	C₂²×C₁₃	—	4	1	no	—
973	C₂²×C₁₃	—	4	1	no	—
974	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
975	C₂×D₁₃	—	4	1	no	—
976	C₂×D₁₃	—	4	1	no	—
977	C₂×D₁₃	—	4	1	no	—
978	C₂×D₁₃	—	8	4	no	—
979	C₂×D₁₃	#548	1	2	yes	—
980	C₂×D₁₃	#575	1	2	yes	—
981	C₂×D₁₃	#578	1	2	yes	—
982	C₄×C₁₃	—	2	2	no	—
983	C₄×C₁₃	—	2	1	no	—
984	C₄×C₁₃	—	2	1	no	—
985	C₄×C₁₃	—	2	1	no	—
986	C₄×C₁₃	—	2	1	no	—
987	C₄×C₁₃	—	2	1	no	—
988	C₄×C₁₃	—	2	1	no	—
989	C₄×C₁₃	—	4	1	no	—
990	C₄×C₁₃	—	4	1	no	—
991	C₄×C₁₃	—	4	1	no	—
992	C₄×C₁₃	—	4	1	no	—
993	C₄×C₁₃	—	4	1	no	—
994	C₄×C₁₃	—	4	1	no	—
995	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
996	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
997	Dic₁₃	—	2	2	no	—
998	Dic₁₃	—	2	1	no	—
999	Dic₁₃	—	2	1	no	—
1000	Dic₁₃	—	2	1	no	—
1001	Dic₁₃	—	2	1	no	—
1002	Dic₁₃	—	2	1	no	—
1003	Dic₁₃	—	2	1	no	—
1004	Dic₁₃	—	4	1	no	—
1005	Dic₁₃	—	4	1	no	—
1006	Dic₁₃	—	4	1	no	—
1007	Dic₁₃	—	4	1	no	—
1008	Dic₁₃	—	4	1	no	—
1009	Dic₁₃	—	4	1	no	—
1010	Dic₁₃	#548	1	2	yes	—
1011	C₂²×Q₈	—	13	1	no	—
1012	C₂²×Q₈	—	13	1	no	—
1013	C₂²×Q₈	—	13	1	no	—
1014	C₂²×Q₈	—	13	1	no	—
1015	C₂²×Q₈	—	26	1	no	—
1016	C₂²×D₄	—	13	1	no	—
1017	C₂³×C₄	—	26	1	no	—
1018	C₂×Q₁₆	—	13	1	no	—
1019	C₂×Q₁₆	—	13	1	no	—
1020	C₂×Q₁₆	—	13	1	no	—
1021	C₂×Q₁₆	—	13	1	no	—
1022	C₂×Q₁₆	—	13	1	no	—
1023	C₂×Q₁₆	—	13	1	no	—
1024	C₂×Q₁₆	—	26	4	no	—
1025	C₂×Q₁₆	—	26	4	no	—
1026	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×SD₁₆	—	13	1	no	—
1029	C₂×SD₁₆	—	13	1	no	—
1030	C₂×SD₁₆	—	13	1	no	—
1031	C₂×SD₁₆	—	26	4	no	—
1032	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂²×C₈	—	13	1	no	—
1034	C₂²×C₈	—	13	1	no	—
1035	C₂²×C₈	—	13	1	no	—
1036	C₂²×C₈	—	13	1	no	—
1037	C₄⋊Q₈	—	2	1	no	—
1038	C₄⋊Q₈	—	13	1	no	—
1039	C₄⋊Q₈	—	13	1	no	—
1040	C₄⋊Q₈	—	13	1	no	—
1041	C₄⋊Q₈	—	13	1	no	—
1042	C₄⋊Q₈	—	13	1	no	—
1043	C₄⋊Q₈	—	13	1	no	—
1044	C₄⋊Q₈	—	26	1	no	—
1045	C₄⋊Q₈	—	26	1	no	—
1046	C₄⋊Q₈	—	26	1	no	—
1047	C₄⋊Q₈	—	26	1	no	—
1048	C₄⋊Q₈	—	26	1	no	—
1049	C₄⋊Q₈	—	26	1	no	—
1050	C₄⋊Q₈	—	26	1	no	—
1051	C₄⋊Q₈	—	26	1	no	—
1052	C₄⋊Q₈	—	26	1	no	—
1053	C₄⋊Q₈	—	26	1	no	—
1054	C₄⋊Q₈	—	26	1	no	—
1055	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	26	1	no	—
1060	#126	—	26	1	no	—
1061	#126	—	26	1	no	—
1062	#126	—	26	1	no	—
1063	#126	—	26	1	no	—
1064	#126	—	26	1	no	—
1065	#126	—	26	1	no	—
1066	#126	—	26	1	no	—
1067	#126	—	26	1	no	—
1068	#126	—	26	1	no	—
1069	#126	—	26	1	no	—
1070	#126	—	26	1	no	—
1071	#126	—	26	1	no	—
1072	#126	—	26	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	13	1	no	—
1076	#125	—	13	1	no	—
1077	#125	—	13	1	no	—
1078	#125	—	13	1	no	—
1079	#125	—	13	1	no	—
1080	#125	—	13	1	no	—
1081	#125	—	26	1	no	—
1082	#125	—	26	1	no	—
1083	#125	—	26	1	no	—
1084	#125	—	26	1	no	—
1085	#125	—	26	1	no	—
1086	#125	—	26	1	no	—
1087	#125	—	26	1	no	—
1088	#125	—	26	1	no	—
1089	#125	—	26	1	no	—
1090	#125	—	26	1	no	—
1091	#125	—	26	1	no	—
1092	#125	—	26	1	no	—
1093	#125	—	26	1	no	—
1094	#125	—	26	1	no	—
1095	#125	—	26	1	no	—
1096	#125	—	26	1	no	—
1097	#125	—	26	1	no	—
1098	#125	—	26	1	no	—
1099	#125	C₂²×D₁₃	1	1	yes	characteristic
1100	#125	C₂²×D₁₃	1	1	yes	characteristic
1101	#124	—	13	1	no	—
1102	#124	—	13	1	no	—
1103	#124	—	13	1	no	—
1104	#124	—	13	1	no	—
1105	#124	—	13	1	no	—
1106	#124	—	13	1	no	—
1107	#124	—	26	1	no	—
1108	#124	—	26	1	no	—
1109	#124	—	26	1	no	—
1110	#124	—	26	1	no	—
1111	#124	C₂²×D₁₃	1	1	yes	characteristic
1112	#124	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	26	1	no	—
1115	C₂²⋊Q₈	—	26	1	no	—
1116	C₂²⋊Q₈	—	26	1	no	—
1117	C₂²⋊Q₈	—	26	1	no	—
1118	C₂²⋊Q₈	—	26	1	no	—
1119	C₂²⋊Q₈	—	26	1	no	—
1120	C₂²⋊Q₈	—	26	1	no	—
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	—	13	1	no	—
1123	C₄×Q₈	—	13	1	no	—
1124	C₄×Q₈	—	13	1	no	—
1125	C₄×Q₈	—	13	1	no	—
1126	C₄×Q₈	—	13	1	no	—
1127	C₄×Q₈	—	13	1	no	—
1128	C₄×Q₈	—	13	1	no	—
1129	C₄×Q₈	—	13	1	no	—
1130	C₄×Q₈	—	13	1	no	—
1131	C₄×Q₈	—	13	1	no	—
1132	C₄×Q₈	—	13	1	no	—
1133	C₄×Q₈	—	13	1	no	—
1134	C₄×Q₈	—	13	1	no	—
1135	C₄×Q₈	—	13	1	no	—
1136	C₄×Q₈	—	13	1	no	—
1137	C₄×Q₈	—	13	1	no	—
1138	C₄×Q₈	—	13	1	no	—
1139	C₄×Q₈	—	13	1	no	—
1140	C₄×Q₈	—	13	1	no	—
1141	C₄×Q₈	—	13	1	no	—
1142	C₄×Q₈	—	13	1	no	—
1143	C₄×Q₈	—	13	1	no	—
1144	C₄×Q₈	—	26	1	no	—
1145	C₄×Q₈	—	26	1	no	—
1146	C₄×Q₈	—	26	1	no	—
1147	C₄×Q₈	—	26	1	no	—
1148	C₄×Q₈	—	26	1	no	—
1149	C₄×Q₈	—	26	1	no	—
1150	C₄×Q₈	—	26	1	no	—
1151	C₄×Q₈	—	26	1	no	—
1152	C₄×Q₈	—	26	1	no	—
1153	C₄×Q₈	—	26	1	no	—
1154	C₄×Q₈	—	26	1	no	—
1155	C₄×Q₈	—	26	1	no	—
1156	C₄×Q₈	—	26	1	no	—
1157	C₄×Q₈	—	26	1	no	—
1158	C₄×Q₈	—	26	1	no	—
1159	C₄×Q₈	—	26	1	no	—
1160	C₄×Q₈	—	26	1	no	—
1161	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1162	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1163	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1165	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1166	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1167	C₄×D₄	—	13	1	no	—
1168	C₄×D₄	—	13	1	no	—
1169	C₄×D₄	—	13	1	no	—
1170	C₄×D₄	—	26	1	no	—
1171	C₄×D₄	—	26	1	no	—
1172	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1173	#117	—	2	1	no	—
1174	#117	—	26	1	no	—
1175	#117	—	26	1	no	—
1176	#117	—	26	1	no	—
1177	#117	—	26	1	no	—
1178	#117	—	26	1	no	—
1179	#117	—	26	1	no	—
1180	#117	—	26	1	no	—
1181	C₂×C₄⋊C₄	—	13	1	no	—
1182	C₂×C₄⋊C₄	—	13	1	no	—
1183	C₂×C₄⋊C₄	—	13	1	no	—
1184	C₂×C₄⋊C₄	—	13	1	no	—
1185	C₂×C₄⋊C₄	—	13	1	no	—
1186	C₂×C₄⋊C₄	—	13	1	no	—
1187	C₂×C₄⋊C₄	—	13	1	no	—
1188	C₂×C₄⋊C₄	—	26	1	no	—
1189	C₂×C₄⋊C₄	—	26	1	no	—
1190	C₂×C₄⋊C₄	—	26	1	no	—
1191	C₂×C₄⋊C₄	—	26	1	no	—
1192	C₂×C₄⋊C₄	—	26	1	no	—
1193	C₂×C₄⋊C₄	—	26	1	no	—
1194	C₂×C₄⋊C₄	—	26	1	no	—
1195	C₂×C₄⋊C₄	—	26	1	no	—
1196	C₂×C₄⋊C₄	—	26	1	no	—
1197	C₂×C₄⋊C₄	—	26	1	no	—
1198	C₂×C₄⋊C₄	—	26	1	no	—
1199	C₂×C₄⋊C₄	—	26	1	no	—
1200	C₂×C₂²⋊C₄	—	26	1	no	—
1201	C₂×C₂²⋊C₄	—	26	1	no	—
1202	C₂×C₂²⋊C₄	—	26	1	no	—
1203	C₂×C₂²⋊C₄	—	26	1	no	—
1204	C₂×C₂²⋊C₄	—	26	1	no	—
1205	C₂×C₄²	—	13	1	no	—
1206	C₂×C₄²	—	13	1	no	—
1207	C₂×C₄²	—	13	1	no	—
1208	C₂×C₄²	—	26	1	no	—
1209	C₂×C₄²	—	26	1	no	—
1210	C₂×C₄²	—	26	1	no	—
1211	C₂×C₄²	—	26	1	no	—
1212	C₂×C₄²	—	26	1	no	—
1213	#107	—	13	1	no	—
1214	#107	—	13	1	no	—
1215	#107	—	13	1	no	—
1216	#107	—	13	1	no	—
1217	#107	—	13	1	no	—
1218	#107	—	13	1	no	—
1219	#107	C₂²×D₁₃	1	1	yes	characteristic
1220	#107	C₂²×D₁₃	1	1	yes	characteristic
1221	#106	—	13	1	no	—
1222	#106	—	13	1	no	—
1223	#106	—	13	1	no	—
1224	#106	C₂²×D₁₃	1	1	yes	characteristic
1225	C₄⋊C₈	—	13	1	no	—
1226	C₄⋊C₈	—	13	1	no	—
1227	C₄⋊C₈	—	13	1	no	—
1228	C₄⋊C₈	—	13	1	no	—
1229	C₄⋊C₈	—	13	1	no	—
1230	C₄⋊C₈	—	13	1	no	—
1231	C₄⋊C₈	—	13	1	no	—
1232	C₄⋊C₈	—	13	1	no	—
1233	C₄⋊C₈	—	13	1	no	—
1234	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1235	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1236	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1237	#103	—	13	1	no	—
1238	#103	—	13	1	no	—
1239	#103	—	13	1	no	—
1240	#103	—	13	1	no	—
1241	#103	—	13	1	no	—
1242	#103	—	13	1	no	—
1243	#103	—	13	1	no	—
1244	#103	—	13	1	no	—
1245	#103	—	13	1	no	—
1246	#103	—	13	1	no	—
1247	#103	—	13	1	no	—
1248	#103	—	13	1	no	—
1249	#103	—	13	1	no	—
1250	#103	—	13	1	no	—
1251	#103	—	13	1	no	—
1252	#103	—	13	1	no	—
1253	#103	—	13	1	no	—
1254	#103	—	13	1	no	—
1255	#103	—	13	1	no	—
1256	#103	—	13	1	no	—
1257	#103	—	13	1	no	—
1258	#103	C₂²×D₁₃	1	1	yes	characteristic
1259	#103	C₂²×D₁₃	1	1	yes	characteristic
1260	#103	C₂²×D₁₃	1	1	yes	characteristic
1261	#103	C₂²×D₁₃	1	1	yes	characteristic
1262	#103	C₂²×D₁₃	1	1	yes	characteristic
1263	#103	C₂²×D₁₃	1	1	yes	characteristic
1264	#103	C₂²×D₁₃	1	1	yes	characteristic
1265	#102	—	13	1	no	—
1266	#102	—	13	1	no	—
1267	#102	—	13	1	no	—
1268	#102	—	13	1	no	—
1269	#102	—	13	1	no	—
1270	#102	—	13	1	no	—
1271	#102	—	13	1	no	—
1272	#102	—	13	1	no	—
1273	#102	—	13	1	no	—
1274	#102	C₂²×D₁₃	1	1	yes	characteristic
1275	#102	C₂²×D₁₃	1	1	yes	characteristic
1276	#102	C₂²×D₁₃	1	1	yes	characteristic
1277	#97	—	13	1	no	—
1278	#97	—	13	1	no	—
1279	#97	—	13	1	no	—
1280	#97	—	13	1	no	—
1281	#97	—	13	1	no	—
1282	#97	—	13	1	no	—
1283	#97	C₂²×D₁₃	1	1	yes	characteristic
1284	#97	C₂²×D₁₃	1	1	yes	characteristic
1285	C₄×C₈	—	13	1	no	—
1286	C₄×C₈	—	13	1	no	—
1287	C₄×C₈	—	13	1	no	—
1288	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1289	C₂×C₁₃	—	8	1	no	—
1290	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
1291	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1292	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1293	D₁₃	—	8	1	no	—
1294	D₁₃	#3377	1	4	yes	direct product factor
1295	C₂⁴	—	26	1	no	—
1296	C₂×Q₈	—	2	1	no	—
1297	C₂×Q₈	—	13	1	no	—
1298	C₂×Q₈	—	13	1	no	—
1299	C₂×Q₈	—	13	1	no	—
1300	C₂×Q₈	—	13	4	no	—
1301	C₂×Q₈	—	13	1	no	—
1302	C₂×Q₈	—	13	1	no	—
1303	C₂×Q₈	—	13	1	no	—
1304	C₂×Q₈	—	26	1	no	—
1305	C₂×Q₈	—	26	1	no	—
1306	C₂×Q₈	—	26	1	no	—
1307	C₂×Q₈	—	26	1	no	—
1308	C₂×Q₈	—	26	1	no	—
1309	C₂×Q₈	—	26	2	no	—
1310	C₂×Q₈	—	26	2	no	—
1311	C₂×Q₈	—	26	2	no	—
1312	C₂×Q₈	—	26	2	no	—
1313	C₂×Q₈	—	26	2	no	—
1314	C₂×Q₈	—	26	1	no	—
1315	C₂×Q₈	—	52	2	no	—
1316	C₂×Q₈	—	52	4	no	—
1317	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1318	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1319	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1320	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1321	C₂×D₄	—	13	1	no	—
1322	C₂×D₄	—	26	2	no	—
1323	C₂×D₄	—	26	2	no	—
1324	C₂×D₄	—	26	1	no	—
1325	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	13	1	no	—
1328	C₂²×C₄	—	13	1	no	—
1329	C₂²×C₄	—	13	1	no	—
1330	C₂²×C₄	—	13	1	no	—
1331	C₂²×C₄	—	13	1	no	—
1332	C₂²×C₄	—	13	1	no	—
1333	C₂²×C₄	—	13	1	no	—
1334	C₂²×C₄	—	26	1	no	—
1335	C₂²×C₄	—	26	1	no	—
1336	C₂²×C₄	—	26	1	no	—
1337	C₂²×C₄	—	26	1	no	—
1338	C₂²×C₄	—	26	1	no	—
1339	C₂²×C₄	—	26	1	no	—
1340	C₂²×C₄	—	26	1	no	—
1341	C₂²×C₄	—	26	1	no	—
1342	C₂²×C₄	—	26	1	no	—
1343	C₂²×C₄	—	26	1	no	—
1344	C₂²×C₄	—	52	4	no	—
1345	Q₁₆	—	2	2	no	—
1346	Q₁₆	—	2	2	no	—
1347	Q₁₆	—	26	2	no	—
1348	Q₁₆	—	26	2	no	—
1349	Q₁₆	—	26	2	no	—
1350	Q₁₆	—	26	2	no	—
1351	Q₁₆	—	26	2	no	—
1352	Q₁₆	—	26	2	no	—
1353	SD₁₆	—	2	2	no	—
1354	SD₁₆	—	26	2	no	—
1355	SD₁₆	—	26	2	no	—
1356	SD₁₆	—	26	2	no	—
1357	C₂×C₈	—	13	1	no	—
1358	C₂×C₈	—	13	1	no	—
1359	C₂×C₈	—	13	1	no	—
1360	C₂×C₈	—	13	1	no	—
1361	C₂×C₈	—	26	2	no	—
1362	C₂×C₈	—	26	2	no	—
1363	C₂×C₈	—	26	2	no	—
1364	C₂×C₈	—	26	2	no	—
1365	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1366	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1367	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1368	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	13	1	no	—
1382	C₄⋊C₄	—	13	1	no	—
1383	C₄⋊C₄	—	13	1	no	—
1384	C₄⋊C₄	—	13	1	no	—
1385	C₄⋊C₄	—	13	1	no	—
1386	C₄⋊C₄	—	13	1	no	—
1387	C₄⋊C₄	—	13	1	no	—
1388	C₄⋊C₄	—	13	1	no	—
1389	C₄⋊C₄	—	13	1	no	—
1390	C₄⋊C₄	—	13	1	no	—
1391	C₄⋊C₄	—	13	1	no	—
1392	C₄⋊C₄	—	13	1	no	—
1393	C₄⋊C₄	—	13	1	no	—
1394	C₄⋊C₄	—	26	1	no	—
1395	C₄⋊C₄	—	26	1	no	—
1396	C₄⋊C₄	—	26	1	no	—
1397	C₄⋊C₄	—	26	1	no	—
1398	C₄⋊C₄	—	26	1	no	—
1399	C₄⋊C₄	—	26	1	no	—
1400	C₄⋊C₄	—	26	1	no	—
1401	C₄⋊C₄	—	26	1	no	—
1402	C₄⋊C₄	—	26	1	no	—
1403	C₄⋊C₄	—	26	1	no	—
1404	C₄⋊C₄	—	26	1	no	—
1405	C₄⋊C₄	—	26	1	no	—
1406	C₄⋊C₄	—	26	1	no	—
1407	C₄⋊C₄	—	26	1	no	—
1408	C₄⋊C₄	—	26	1	no	—
1409	C₄⋊C₄	—	26	1	no	—
1410	C₄⋊C₄	—	26	1	no	—
1411	C₄⋊C₄	—	26	1	no	—
1412	C₄⋊C₄	—	26	1	no	—
1413	C₄⋊C₄	—	26	1	no	—
1414	C₄⋊C₄	—	26	1	no	—
1415	C₄⋊C₄	—	26	1	no	—
1416	C₄⋊C₄	—	26	1	no	—
1417	C₄⋊C₄	—	26	1	no	—
1418	C₄⋊C₄	—	26	1	no	—
1419	C₄⋊C₄	—	26	1	no	—
1420	C₄⋊C₄	—	26	1	no	—
1421	C₄⋊C₄	—	26	1	no	—
1422	C₄⋊C₄	—	26	1	no	—
1423	C₄⋊C₄	—	26	1	no	—
1424	C₄⋊C₄	—	26	1	no	—
1425	C₄⋊C₄	—	26	1	no	—
1426	C₄⋊C₄	—	26	1	no	—
1427	C₄⋊C₄	—	26	1	no	—
1428	C₄⋊C₄	—	26	1	no	—
1429	C₄⋊C₄	—	26	1	no	—
1430	C₄⋊C₄	—	26	1	no	—
1431	C₄⋊C₄	—	26	1	no	—
1432	C₄⋊C₄	—	26	1	no	—
1433	C₄⋊C₄	—	26	1	no	—
1434	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1435	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1439	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1440	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	26	1	no	—
1447	C₂²⋊C₄	—	26	1	no	—
1448	C₂²⋊C₄	—	26	1	no	—
1449	C₂²⋊C₄	—	26	1	no	—
1450	C₂²⋊C₄	—	26	1	no	—
1451	C₂²⋊C₄	—	26	1	no	—
1452	C₂²⋊C₄	—	26	1	no	—
1453	C₂²⋊C₄	—	26	1	no	—
1454	C₂²⋊C₄	—	26	1	no	—
1455	C₂²⋊C₄	—	26	1	no	—
1456	C₂²⋊C₄	—	26	1	no	—
1457	C₂²⋊C₄	—	26	1	no	—
1458	C₂²⋊C₄	—	26	1	no	—
1459	C₂²⋊C₄	—	26	1	no	—
1460	C₂²⋊C₄	—	26	1	no	—
1461	C₄²	—	2	1	no	—
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	13	1	no	—
1467	C₄²	—	13	1	no	—
1468	C₄²	—	13	1	no	—
1469	C₄²	—	13	1	no	—
1470	C₄²	—	13	1	no	—
1471	C₄²	—	13	1	no	—
1472	C₄²	—	13	1	no	—
1473	C₄²	—	13	1	no	—
1474	C₄²	—	13	1	no	—
1475	C₄²	—	26	1	no	—
1476	C₄²	—	26	1	no	—
1477	C₄²	—	26	1	no	—
1478	C₄²	—	26	1	no	—
1479	C₄²	—	26	1	no	—
1480	C₄²	—	26	1	no	—
1481	C₄²	—	26	1	no	—
1482	C₄²	—	26	1	no	—
1483	C₄²	—	26	1	no	—
1484	C₄²	—	26	1	no	—
1485	C₄²	—	26	1	no	—
1486	C₄²	—	26	1	no	—
1487	C₄²	—	26	1	no	—
1488	C₄²	—	26	1	no	—
1489	C₄²	—	26	1	no	—
1490	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1491	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1492	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1493	C₁₃	C₂×#3377	1	1	yes	characteristic, complemented, Sylow
1494	C₂³	—	2	1	no	—
1495	C₂³	—	13	1	no	—
1496	C₂³	—	26	1	no	—
1497	C₂³	—	52	2	no	—
1498	C₂³	—	52	2	no	—
1499	C₂³	—	52	2	no	—
1500	Q₈	—	2	1	no	—
1501	Q₈	—	2	1	no	—
1502	Q₈	—	2	1	no	—
1503	Q₈	—	2	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	4	1	no	—
1506	Q₈	—	4	2	no	—
1507	Q₈	—	13	2	no	—
1508	Q₈	—	26	4	no	—
1509	Q₈	—	26	1	no	—
1510	Q₈	—	26	1	no	—
1511	Q₈	—	26	1	no	—
1512	Q₈	—	26	1	no	—
1513	Q₈	—	26	1	no	—
1514	Q₈	—	52	1	no	—
1515	Q₈	—	52	1	no	—
1516	Q₈	—	52	1	no	—
1517	Q₈	—	52	2	no	—
1518	Q₈	—	52	2	no	—
1519	Q₈	—	52	2	no	—
1520	Q₈	—	52	2	no	—
1521	Q₈	—	52	2	no	—
1522	Q₈	#41×D₁₃	1	2	yes	—
1523	D₄	—	2	1	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	26	1	no	—
1526	D₄	—	26	1	no	—
1527	D₄	—	52	2	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	4	2	no	—
1536	C₂×C₄	—	13	1	no	—
1537	C₂×C₄	—	13	2	no	—
1538	C₂×C₄	—	13	2	no	—
1539	C₂×C₄	—	13	1	no	—
1540	C₂×C₄	—	13	1	no	—
1541	C₂×C₄	—	13	1	no	—
1542	C₂×C₄	—	13	1	no	—
1543	C₂×C₄	—	13	1	no	—
1544	C₂×C₄	—	13	1	no	—
1545	C₂×C₄	—	26	2	no	—
1546	C₂×C₄	—	26	2	no	—
1547	C₂×C₄	—	26	2	no	—
1548	C₂×C₄	—	26	2	no	—
1549	C₂×C₄	—	26	2	no	—
1550	C₂×C₄	—	26	2	no	—
1551	C₂×C₄	—	26	4	no	—
1552	C₂×C₄	—	26	1	no	—
1553	C₂×C₄	—	26	1	no	—
1554	C₂×C₄	—	26	1	no	—
1555	C₂×C₄	—	26	1	no	—
1556	C₂×C₄	—	26	1	no	—
1557	C₂×C₄	—	26	1	no	—
1558	C₂×C₄	—	26	1	no	—
1559	C₂×C₄	—	52	2	no	—
1560	C₂×C₄	—	52	2	no	—
1561	C₂×C₄	—	52	2	no	—
1562	C₂×C₄	—	52	2	no	—
1563	C₂×C₄	—	52	2	no	—
1564	C₂×C₄	—	52	2	no	—
1565	C₂×C₄	—	52	2	no	—
1566	C₂×C₄	—	52	2	no	—
1567	C₂×C₄	—	52	2	no	—
1568	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1570	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1571	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1572	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1573	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1574	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	26	1	no	—
1580	C₈	—	26	1	no	—
1581	C₈	—	26	1	no	—
1582	C₈	—	26	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	13	2	no	—
1587	C₂²	—	13	2	no	—
1588	C₂²	—	13	2	no	—
1589	C₂²	—	52	1	no	—
1590	C₂²	—	52	1	no	—
1591	C₂²	—	52	1	no	—
1592	C₂²	—	104	4	no	—
1593	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1594	C₄	—	2	2	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	13	2	no	—
1608	C₄	—	26	2	no	—
1609	C₄	—	26	1	no	—
1610	C₄	—	26	1	no	—
1611	C₄	—	26	1	no	—
1612	C₄	—	26	1	no	—
1613	C₄	—	26	1	no	—
1614	C₄	—	26	1	no	—
1615	C₄	—	52	1	no	—
1616	C₄	—	52	1	no	—
1617	C₄	—	52	1	no	—
1618	C₄	—	52	1	no	—
1619	C₄	—	52	1	no	—
1620	C₄	—	52	1	no	—
1621	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1622	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1623	C₂	—	8	1	no	—
1624	C₂	—	13	4	no	—
1625	C₂	—	104	1	no	—
1626	C₂	D₁₃×#548	1	1	yes	characteristic
1627	C₂	D₁₃×#575	1	1	yes	characteristic
1628	C₂	D₁₃×#578	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×#3377	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	C₂×D₄×D₁₃	C₂³
hypercenter	#3377	D₁₃
hypocenter	C₁₃	C₂×#3377
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3377

Complements

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

N	H ≅ G/N	type
1. D₁₃×#557	C₂	semidirect
3. #13127685	C₂	semidirect
4. #13127684	C₂	semidirect
5. #13127683	C₂	semidirect
6. #13127682	C₂	semidirect
7. #13127681	C₂	semidirect
8. #13127680	C₂	semidirect
9. #13127679	C₂	semidirect
10. #13127678	C₂	semidirect
11. #13127677	C₂	semidirect
12. #13127676	C₂	semidirect
13. #13127675	C₂	semidirect
14. #13127674	C₂	semidirect
15. #13127673	C₂	semidirect
16. #13127672	C₂	semidirect
17. #13127671	C₂	semidirect
18. D₁₃×#491	C₂	semidirect
21. D₁₃×#479	C₂	semidirect
22. D₁₃×#477	C₂	semidirect
26. D₁₃×#462	C₂	semidirect
27. D₁₃×#446	C₂	semidirect
28. D₁₃×#441	C₂	semidirect
30. C₄×Q₁₆×D₁₃	C₂	semidirect
31. C₁₃×#3377	C₂	semidirect
32. C₁₃×#557	C₂²	semidirect
42. #11719426	C₂²	semidirect
53. #11719390	C₂²	semidirect
54. #11719390	C₂²	semidirect
69. #11719275	C₂²	semidirect
70. #11719274	C₂²	semidirect
71. #11719274	C₂²	semidirect
75. #11719272	C₂²	semidirect
80. C₁₃×#491	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
89. C₁₃×#446	C₂²	semidirect
90. C₁₃×#441	C₂²	semidirect
92. C₄×C₁₃×Q₁₆	C₂²	semidirect
95. #11718845	C₂²	semidirect
96. Q₁₆×Dic₁₃	C₂²	semidirect
97. #11718843	C₂²	semidirect
98. #11718843	C₂²	semidirect
102. #11718752	C₂²	semidirect
103. #11718751	C₂²	semidirect
105. #11718743	C₂²	semidirect
106. #11718730	C₂²	semidirect
109. #11718724	C₂²	semidirect
114. #11718692	C₂²	semidirect
115. #11718691	C₂²	semidirect
116. #11718691	C₂²	semidirect
117. C₄×#6107	C₂²	semidirect
118. C₄×#6107	C₂²	semidirect
122. #11718685	C₂²	semidirect
123. #11718683	C₂²	semidirect
124. #11718682	C₂²	semidirect
131. #11718538	C₂²	semidirect
132. #11718536	C₂²	semidirect
133. #11718536	C₂²	semidirect
134. #11718534	C₂²	semidirect
137. #11718518	C₂²	semidirect
138. #11718514	C₂²	semidirect
139. #11718511	C₂²	semidirect
140. #11718510	C₂²	semidirect
147. #11718492	C₂²	semidirect
148. #11718490	C₂²	semidirect
149. #11718489	C₂²	semidirect
150. #11718489	C₂²	semidirect
161. #11718460	C₂²	semidirect
164. #11718458	C₂²	semidirect
165. #11718458	C₂²	semidirect
166. #11718458	C₂²	semidirect
167. #11718458	C₂²	semidirect
168. #11718457	C₂²	semidirect
171. #11718455	C₂²	semidirect
172. #11718455	C₂²	semidirect
173. #11718454	C₂²	semidirect
174. #11718454	C₂²	semidirect
175. #11718451	C₂²	semidirect
176. #11718451	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718450	C₂²	semidirect
191. #11718377	C₂²	semidirect
196. #11718364	C₂²	semidirect
197. #11718362	C₂²	semidirect
198. #11718362	C₂²	semidirect
199. C₄×Dic₅₂	C₂²	semidirect
202. #11718340	C₂²	semidirect
697. #3377	D₁₃	direct (N × H)
814. #557	C₂×D₁₃	semidirect
855. #491	C₂×D₁₃	semidirect
879. #479	C₂×D₁₃	semidirect
895. #477	C₂×D₁₃	semidirect
919. #462	C₂×D₁₃	semidirect
927. #446	C₂×D₁₃	semidirect
935. #441	C₂×D₁₃	semidirect
951. C₄×Q₁₆	C₂×D₁₃	semidirect
1294. D₁₃	#3377	direct (N × H)
1493. C₁₃	C₂×#3377	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#557	2
D₁₃×#556	2
#13127685	2
#13127684	2
#13127683	2
#13127682	2
#13127681	2
#13127680	2
#13127679	2
#13127678	2
#13127677	2
#13127676	2
#13127675	2
#13127674	2
#13127673	2
#13127672	2
#13127671	2
D₁₃×#491	2
D₁₃×#489	2
D₁₃×#488	2
D₁₃×#479	2
D₁₃×#477	2
D₁₃×#478	2
D₁₃×#464	2
D₁₃×#462	2
D₁₃×#446	2
D₁₃×#441	2
D₁₃×#440	2
C₄×Q₁₆×D₁₃	2
C₁₃×#3377	2
C₂×#3377	13

Subgroups — D13×#3377 #16742708

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3377 #16742708