Subgroups — D₁₃×#3346 #16741490

Order 3328.

1942 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#553	C₂	1	1	yes	maximal, characteristic
3	#13127328	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127327	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127326	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127325	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127324	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127323	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127322	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127321	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127320	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127319	C₂	1	1	yes	maximal, characteristic, complemented
13	#13127318	C₂	1	1	yes	maximal, characteristic, complemented
14	#13127317	C₂	1	1	yes	maximal, characteristic, complemented
15	#13127316	C₂	1	1	yes	maximal, characteristic, complemented
16	#13127315	C₂	1	1	yes	maximal, characteristic, complemented
17	#13127314	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#484	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#481	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#480	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#474	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×D₁₃×#107	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3346	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#553	C₂²	1	1	yes	characteristic
34	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
37	#11719435	C₂²	1	1	yes	characteristic, complemented
38	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	#11719414	—	2	1	no	—
40	D₁₃×#126	—	2	1	no	—
41	#11719400	C₂²	1	1	yes	characteristic
42	#11719395	—	2	1	no	—
43	D₁₃×#125	—	2	1	no	—
44	D₁₃×#125	C₂²	1	1	yes	characteristic
45	#11719366	—	2	1	no	—
46	D₁₃×#123	—	2	1	no	—
47	#11719341	—	2	1	no	—
48	#11719341	—	2	1	no	—
49	#11719340	C₂²	1	1	yes	characteristic, complemented
50	#11719340	C₂²	1	1	yes	characteristic, complemented
51	D₁₃×C₂²⋊Q₈	—	2	1	no	—
52	D₁₃×C₂²⋊Q₈	—	2	1	no	—
53	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	#11719323	C₂²	1	1	yes	characteristic
56	#11719319	C₂²	1	1	yes	characteristic
57	D₁₃×#121	—	2	1	no	—
58	D₁₃×#121	C₂²	1	1	yes	characteristic
59	D₁₃×#121	C₂²	1	1	yes	characteristic
60	#11719306	—	2	1	no	—
61	#11719284	C₂²	1	1	yes	characteristic, complemented
62	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
63	#11719270	C₂²	1	1	yes	characteristic
64	#11719263	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₁₃	—	2	1	no	—
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
69	#11719248	C₂²	1	1	yes	characteristic, complemented
70	#11719245	—	2	1	no	—
71	#11719244	—	2	1	no	—
72	#11719235	C₂²	1	1	yes	characteristic
73	D₁₃×#117	C₂²	1	1	yes	characteristic
74	#11719219	C₂²	1	1	yes	characteristic
75	#11719216	C₂²	1	1	yes	characteristic, complemented
76	#11719216	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
78	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
79	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
80	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
93	#11718835	C₂²	1	1	yes	characteristic, complemented
94	#11718832	C₂²	1	1	yes	characteristic, complemented
95	#11718825	C₂²	1	1	yes	characteristic, complemented
96	#11718795	C₂²	1	1	yes	characteristic, complemented
97	#11718788	C₂²	1	1	yes	characteristic, complemented
98	#11718782	C₂²	1	1	yes	characteristic, complemented
99	#11718775	C₂²	1	1	yes	characteristic, complemented
100	#11718772	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88058	C₂²	1	1	yes	characteristic, complemented
102	#11718748	C₂²	1	1	yes	characteristic, complemented
103	#11718741	C₂²	1	1	yes	characteristic, complemented
104	#11718726	C₂²	1	1	yes	characteristic, complemented
105	#11718724	C₂²	1	1	yes	characteristic, complemented
106	#11718710	C₂²	1	1	yes	characteristic, complemented
107	#11718709	C₂²	1	1	yes	characteristic, complemented
108	#11718706	C₂²	1	1	yes	characteristic, complemented
109	#11718705	C₂²	1	1	yes	characteristic, complemented
110	#11718703	C₂²	1	1	yes	characteristic, complemented
111	#11718702	C₂²	1	1	yes	characteristic, complemented
112	#11718695	C₂²	1	1	yes	characteristic, complemented
113	#11718694	C₂²	1	1	yes	characteristic, complemented
114	#11718687	C₂²	1	1	yes	characteristic, complemented
115	#11718683	C₂²	1	1	yes	characteristic, complemented
116	#11718679	C₂²	1	1	yes	characteristic, complemented
117	#11718672	C₂²	1	1	yes	characteristic, complemented
118	#11718668	C₂²	1	1	yes	characteristic, complemented
119	#11718657	C₂²	1	1	yes	characteristic, complemented
120	#11718656	C₂²	1	1	yes	characteristic, complemented
121	#11718631	C₂²	1	1	yes	characteristic, complemented
122	#11718629	C₂²	1	1	yes	characteristic, complemented
123	#11718628	C₂²	1	1	yes	characteristic, complemented
124	#11718625	C₂²	1	1	yes	characteristic, complemented
125	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
126	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
127	#11718551	C₂²	1	1	yes	characteristic, complemented
128	#11718551	C₂²	1	1	yes	characteristic, complemented
129	#11718550	C₂²	1	1	yes	characteristic, complemented
130	#11718549	C₂²	1	1	yes	characteristic, complemented
131	#11718547	C₂²	1	1	yes	characteristic, complemented
132	#11718545	C₂²	1	1	yes	characteristic, complemented
133	#11718545	C₂²	1	1	yes	characteristic, complemented
134	#11718543	C₂²	1	1	yes	characteristic, complemented
135	#11718543	C₂²	1	1	yes	characteristic, complemented
136	#11718542	C₂²	1	1	yes	characteristic, complemented
137	#11718542	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic
139	D₁₃×#107	C₂²	1	1	yes	characteristic
140	D₁₃×#107	C₂²	1	1	yes	characteristic
141	D₁₃×#107	C₂²	1	1	yes	characteristic
142	D₁₃×#107	C₂²	1	1	yes	characteristic
143	D₁₃×#107	C₂²	1	1	yes	characteristic
144	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
146	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
147	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
148	#11718538	C₂²	1	1	yes	characteristic, complemented
149	#11718537	C₂²	1	1	yes	characteristic, complemented
150	#11718537	C₂²	1	1	yes	characteristic, complemented
151	#11718528	C₂²	1	1	yes	characteristic, complemented
152	#11718525	C₂²	1	1	yes	characteristic, complemented
153	#11718524	C₂²	1	1	yes	characteristic, complemented
154	#11718524	C₂²	1	1	yes	characteristic, complemented
155	#11718522	C₂²	1	1	yes	characteristic, complemented
156	#11718522	C₂²	1	1	yes	characteristic, complemented
157	D₁₃×#106	C₂²	1	1	yes	characteristic
158	D₁₃×#106	C₂²	1	1	yes	characteristic
159	D₁₃×#106	C₂²	1	1	yes	characteristic
160	#11718518	C₂²	1	1	yes	characteristic, complemented
161	#11718517	C₂²	1	1	yes	characteristic, complemented
162	#11718517	C₂²	1	1	yes	characteristic, complemented
163	#11718507	C₂²	1	1	yes	characteristic, complemented
164	#11718497	C₂²	1	1	yes	characteristic, complemented
165	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic, complemented
168	#11718476	C₂²	1	1	yes	characteristic, complemented
169	#11718475	C₂²	1	1	yes	characteristic, complemented
170	#11718473	C₂²	1	1	yes	characteristic, complemented
171	#11718470	C₂²	1	1	yes	characteristic, complemented
172	#11718470	C₂²	1	1	yes	characteristic, complemented
173	#11718468	C₂²	1	1	yes	characteristic, complemented
174	D₁₃×#103	C₂²	1	1	yes	characteristic
175	D₁₃×#103	C₂²	1	1	yes	characteristic
176	D₁₃×#103	C₂²	1	1	yes	characteristic
177	#11718460	C₂²	1	1	yes	characteristic, complemented
178	#11718457	C₂²	1	1	yes	characteristic, complemented
179	#11718441	C₂²	1	1	yes	characteristic, complemented
180	#11718439	C₂²	1	1	yes	characteristic, complemented
181	#11718438	C₂²	1	1	yes	characteristic, complemented
182	#11718438	C₂²	1	1	yes	characteristic, complemented
183	#11718435	C₂²	1	1	yes	characteristic, complemented
184	#11718435	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718420	C₂²	1	1	yes	characteristic, complemented
189	#11718420	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718397	C₂²	1	1	yes	characteristic, complemented
192	#11718396	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic, complemented
195	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718371	C₂²	1	1	yes	characteristic, complemented
200	#11718367	C₂²	1	1	yes	characteristic, complemented
201	D₁₃×#97	C₂²	1	1	yes	characteristic
202	#11718363	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈×D₁₃	—	2	1	no	—
204	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
205	C₂×D₄×D₁₃	—	2	1	no	—
206	C₂×D₄×D₁₃	—	2	1	no	—
207	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	—	2	1	no	—
210	C₂²×C₄×D₁₃	—	2	1	no	—
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂²×C₄×D₁₃	—	2	1	no	—
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#125	—	2	1	no	—
221	C₁₃×#125	C₂³	1	1	yes	characteristic
222	C₁₃×#123	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	—	2	1	no	—
224	C₁₃×C₂²⋊Q₈	—	2	1	no	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₁₃×#117	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	#88200	—	2	1	no	—
240	#88200	—	2	1	no	—
241	#88200	C₂³	1	1	yes	characteristic
242	#88200	C₂³	1	1	yes	characteristic
243	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
244	#88198	—	2	1	no	—
245	C₂×#6106	C₂³	1	1	yes	characteristic
246	#88193	—	2	1	no	—
247	#88193	—	2	1	no	—
248	#88193	—	2	1	no	—
249	#88193	—	2	1	no	—
250	#88192	—	2	1	no	—
251	#88192	C₂³	1	1	yes	characteristic
252	#88192	C₂³	1	1	yes	characteristic
253	#88189	—	2	1	no	—
254	D₄×Dic₁₃	—	2	1	no	—
255	D₄×Dic₁₃	—	2	1	no	—
256	D₄×Dic₁₃	D₄	1	1	yes	characteristic
257	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×#6105	C₂³	1	1	yes	characteristic
259	#88184	—	2	1	no	—
260	#88184	C₂³	1	1	yes	characteristic
261	#88184	C₂³	1	1	yes	characteristic
262	#88183	—	2	1	no	—
263	C₄×C₂²⋊D₁₃	—	2	1	no	—
264	C₄×C₂²⋊D₁₃	—	2	1	no	—
265	C₄×C₂²⋊D₁₃	—	2	1	no	—
266	C₄×C₂²⋊D₁₃	—	2	1	no	—
267	C₄×C₂²⋊D₁₃	—	2	1	no	—
268	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
269	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
270	#88180	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	#88178	—	2	1	no	—
275	#88178	—	2	1	no	—
276	#88178	C₂³	1	1	yes	characteristic
277	#88178	C₂³	1	1	yes	characteristic
278	C₂×#6101	—	2	1	no	—
279	C₂×#6101	—	2	1	no	—
280	C₂×#6101	—	2	1	no	—
281	C₂×#6099	C₂³	1	1	yes	characteristic
282	C₂²×#1055	C₂³	1	1	yes	characteristic
283	SD₁₆×D₁₃	—	2	4	no	—
284	M₁₆×D₁₃	—	2	4	no	—
285	C₂×#6095	C₂³	1	1	yes	characteristic
286	C₂×#6094	C₂³	1	1	yes	characteristic
287	C₂×#6094	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₁₃	—	2	4	no	—
289	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
295	#88152	—	2	1	no	—
296	#88152	—	2	1	no	—
297	#88152	—	2	1	no	—
298	#88151	—	2	1	no	—
299	#88151	—	2	1	no	—
300	#88151	C₂³	1	1	yes	characteristic
301	#88151	C₂³	1	1	yes	characteristic
302	#88150	—	2	1	no	—
303	#88150	—	2	1	no	—
304	#88150	—	2	1	no	—
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88150	—	2	1	no	—
308	#88149	—	2	1	no	—
309	#88149	C₂³	1	1	yes	characteristic
310	#88149	C₂³	1	1	yes	characteristic
311	#88148	—	2	1	no	—
312	#88148	—	2	1	no	—
313	#88147	—	2	1	no	—
314	#88147	—	2	1	no	—
315	#88147	D₄	1	1	yes	characteristic
316	#88147	C₂³	1	1	yes	characteristic
317	#88146	C₂³	1	1	yes	characteristic
318	#88146	C₂³	1	1	yes	characteristic
319	C₄⋊C₄×D₁₃	—	2	1	no	—
320	C₄⋊C₄×D₁₃	—	2	1	no	—
321	C₄⋊C₄×D₁₃	—	2	1	no	—
322	C₄⋊C₄×D₁₃	—	2	1	no	—
323	C₄⋊C₄×D₁₃	—	2	1	no	—
324	C₄⋊C₄×D₁₃	—	2	1	no	—
325	C₄⋊C₄×D₁₃	—	2	1	no	—
326	C₄⋊C₄×D₁₃	—	2	1	no	—
327	C₄⋊C₄×D₁₃	—	2	1	no	—
328	C₄⋊C₄×D₁₃	—	2	1	no	—
329	C₄⋊C₄×D₁₃	—	2	1	no	—
330	C₄⋊C₄×D₁₃	—	2	1	no	—
331	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	#88144	—	2	1	no	—
345	#88144	—	2	1	no	—
346	#88144	C₂³	1	1	yes	characteristic
347	#88144	C₂³	1	1	yes	characteristic
348	#88143	—	2	1	no	—
349	#88143	—	2	1	no	—
350	#88143	—	2	1	no	—
351	#88143	—	2	1	no	—
352	#88143	—	2	1	no	—
353	#88143	—	2	1	no	—
354	#88142	—	2	1	no	—
355	#88142	C₂³	1	1	yes	characteristic
356	#88142	C₂³	1	1	yes	characteristic
357	#88141	—	2	1	no	—
358	#88141	C₂³	1	1	yes	characteristic
359	#88140	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88137	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	D₄	1	1	yes	characteristic
372	#88135	D₄	1	1	yes	characteristic
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
380	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
381	#88133	—	2	1	no	—
382	#88133	—	2	1	no	—
383	#88133	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88132	—	2	1	no	—
386	#88132	—	2	1	no	—
387	#88132	—	2	1	no	—
388	#88132	—	2	1	no	—
389	#88132	—	2	1	no	—
390	#88131	—	2	1	no	—
391	#88130	—	2	1	no	—
392	C₄×D₅₂	—	2	1	no	—
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	#88126	—	2	1	no	—
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	C₂³	1	1	yes	characteristic
400	#88124	—	2	1	no	—
401	#88124	C₂³	1	1	yes	characteristic
402	#88123	C₂³	1	1	yes	characteristic
403	C₄×Dic₂₆	—	2	1	no	—
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×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#107	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×C₄⋊C₈	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#97	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	#88072	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	C₂²⋊#1055	C₂³	1	1	yes	characteristic
432	#88061	C₂³	1	1	yes	characteristic
433	#88061	C₂³	1	1	yes	characteristic
434	#88061	C₂³	1	1	yes	characteristic
435	#88060	C₂³	1	1	yes	characteristic
436	#88060	C₂³	1	1	yes	characteristic
437	#88060	C₂³	1	1	yes	characteristic
438	#88060	C₂³	1	1	yes	characteristic
439	#88058	C₂³	1	1	yes	characteristic
440	#88058	C₂³	1	1	yes	characteristic
441	#88058	C₂³	1	1	yes	characteristic
442	#88058	C₂³	1	1	yes	characteristic
443	#88058	C₂³	1	1	yes	characteristic
444	#88058	C₂³	1	1	yes	characteristic
445	#88057	C₂³	1	1	yes	characteristic
446	#88057	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88056	C₂³	1	1	yes	characteristic
449	#88056	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88055	C₂³	1	1	yes	characteristic
452	#88055	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88050	C₂³	1	1	yes	characteristic
456	#88050	C₂³	1	1	yes	characteristic
457	#88050	C₂³	1	1	yes	characteristic
458	#88049	C₂³	1	1	yes	characteristic
459	#88049	C₂³	1	1	yes	characteristic
460	#88049	C₂³	1	1	yes	characteristic
461	#88048	C₂³	1	1	yes	characteristic
462	#88048	C₂³	1	1	yes	characteristic
463	#88048	C₂³	1	1	yes	characteristic
464	#88048	C₂³	1	1	yes	characteristic
465	#88048	C₂³	1	1	yes	characteristic
466	#88048	C₂³	1	1	yes	characteristic
467	#88047	C₂³	1	1	yes	characteristic
468	#88047	C₂³	1	1	yes	characteristic
469	#88047	C₂³	1	1	yes	characteristic
470	#88047	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	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	C₄⋊#1055	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	C₂×#3346	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
484	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×D₄×C₁₃	—	2	1	no	—
488	C₂×D₄×C₁₃	—	2	1	no	—
489	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₁₃	—	2	1	no	—
492	C₂²×C₄×C₁₃	—	2	1	no	—
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₃	—	2	1	no	—
498	C₂×C₂²⋊D₁₃	—	2	1	no	—
499	C₂×C₂²⋊D₁₃	—	2	1	no	—
500	C₂×C₂²⋊D₁₃	—	2	1	no	—
501	C₂×C₂²⋊D₁₃	—	2	1	no	—
502	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂²×Dic₁₃	—	2	1	no	—
505	C₂²×Dic₁₃	—	2	1	no	—
506	C₂²×Dic₁₃	—	2	1	no	—
507	C₂²×Dic₁₃	—	2	1	no	—
508	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
510	Q₈×D₁₃	—	2	2	no	—
511	Q₈×D₁₃	—	2	2	no	—
512	Q₈×D₁₃	—	8	2	no	—
513	D₄×D₁₃	—	2	4	no	—
514	D₄×D₁₃	—	2	2	no	—
515	D₄×D₁₃	—	2	2	no	—
516	D₄×D₁₃	—	4	4	no	—
517	D₄×D₁₃	—	8	2	no	—
518	C₂×D₅₂	—	2	1	no	—
519	C₂×D₅₂	—	2	1	no	—
520	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
521	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
522	C₂×C₄×D₁₃	—	2	2	no	—
523	C₂×C₄×D₁₃	—	2	2	no	—
524	C₂×C₄×D₁₃	—	2	2	no	—
525	C₂×C₄×D₁₃	—	2	2	no	—
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	2	1	no	—
537	C₂×C₄×D₁₃	—	2	1	no	—
538	C₂×C₄×D₁₃	—	2	1	no	—
539	C₂×C₄×D₁₃	—	2	1	no	—
540	C₂×C₄×D₁₃	—	2	1	no	—
541	C₂×C₄×D₁₃	—	8	2	no	—
542	C₂×C₄×D₁₃	—	8	2	no	—
543	C₂×C₄×D₁₃	—	8	2	no	—
544	C₂×C₄×D₁₃	—	8	2	no	—
545	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×Dic₂₆	—	2	1	no	—
555	C₂×Dic₂₆	—	2	1	no	—
556	C₂×Dic₂₆	—	2	1	no	—
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
559	C₁₃×SD₁₆	—	2	2	no	—
560	C₁₃×M₁₆	—	2	2	no	—
561	C₂×C₈×C₁₃	—	2	2	no	—
562	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₄²×C₁₃	—	2	1	no	—
591	C₄²×C₁₃	—	2	1	no	—
592	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂²⋊Dic₁₃	—	2	1	no	—
594	C₂²⋊Dic₁₃	—	2	1	no	—
595	C₂²⋊Dic₁₃	—	2	1	no	—
596	C₂²⋊Dic₁₃	—	2	1	no	—
597	C₂²⋊Dic₁₃	—	2	1	no	—
598	C₂²⋊Dic₁₃	—	2	1	no	—
599	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
601	#6106	—	2	2	no	—
602	#6105	—	2	2	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	C₂×D₄	1	1	yes	characteristic
616	#6103	C₂×D₄	1	1	yes	characteristic
617	#6103	C₂×D₄	1	1	yes	characteristic
618	#6103	C₂×D₄	1	1	yes	characteristic
619	C₄⋊Dic₁₃	—	2	1	no	—
620	C₄⋊Dic₁₃	—	2	1	no	—
621	C₄⋊Dic₁₃	—	2	1	no	—
622	C₄⋊Dic₁₃	—	2	1	no	—
623	C₄⋊Dic₁₃	—	2	1	no	—
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
630	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
634	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
635	#6101	—	2	1	no	—
636	#6101	—	2	1	no	—
637	#6101	—	2	1	no	—
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	C₂×D₄	1	1	yes	characteristic
660	#6101	C₂×D₄	1	1	yes	characteristic
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	—	2	1	no	—
663	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
670	#6099	—	2	2	no	—
671	C₂×#1055	—	2	2	no	—
672	C₂×#1055	C₂⁴	1	1	yes	characteristic
673	C₂×#1055	C₂⁴	1	1	yes	characteristic
674	C₂×#1055	C₂⁴	1	1	yes	characteristic
675	C₂×#1055	C₂⁴	1	1	yes	characteristic
676	#6095	—	2	2	no	—
677	#6094	—	2	2	no	—
678	#6094	—	2	2	no	—
679	C₈×D₁₃	—	2	2	no	—
680	C₈×D₁₃	—	2	2	no	—
681	C₈×D₁₃	—	2	2	no	—
682	C₈×D₁₃	—	2	2	no	—
683	C₈×D₁₃	—	2	2	no	—
684	C₈×D₁₃	#41	1	4	yes	—
685	C₂×#554	—	13	1	no	—
686	C₂×#553	—	13	1	no	—
687	#3346	—	13	1	no	—
688	#3346	—	13	1	no	—
689	#3346	—	13	1	no	—
690	#3346	—	13	1	no	—
691	#3346	—	13	1	no	—
692	#3346	—	13	1	no	—
693	#3346	—	13	1	no	—
694	#3346	—	13	1	no	—
695	#3346	—	13	1	no	—
696	#3346	—	13	1	no	—
697	#3346	—	13	1	no	—
698	#3346	—	13	1	no	—
699	#3346	—	13	1	no	—
700	#3346	—	13	1	no	—
701	#3346	—	13	1	no	—
702	#3346	D₁₃	1	1	yes	characteristic, direct product factor
703	C₂×#501	—	13	1	no	—
704	C₂×#484	—	13	1	no	—
705	C₂×#481	—	13	1	no	—
706	C₂×#485	—	13	1	no	—
707	C₂×#480	—	13	1	no	—
708	C₂×#479	—	13	1	no	—
709	C₂×#474	—	13	1	no	—
710	C₂×#468	—	13	1	no	—
711	C₂×#465	—	13	1	no	—
712	C₂×#440	—	13	1	no	—
713	C₂×#435	—	13	1	no	—
714	C₂×#428	—	13	1	no	—
715	C₂²×#107	—	13	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
718	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
719	C₂²×D₁₃	—	2	2	no	—
720	C₂²×D₁₃	—	2	2	no	—
721	C₂²×D₁₃	—	2	2	no	—
722	C₂²×D₁₃	—	2	2	no	—
723	C₂²×D₁₃	—	2	2	no	—
724	C₂²×D₁₃	—	2	1	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	2	no	—
727	C₂²×D₁₃	—	4	2	no	—
728	C₂²×D₁₃	#137	1	4	yes	—
729	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
730	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
731	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	8	1	no	—
735	D₄×C₁₃	—	2	2	no	—
736	D₄×C₁₃	—	2	1	no	—
737	D₄×C₁₃	—	2	1	no	—
738	D₄×C₁₃	—	4	2	no	—
739	D₄×C₁₃	—	8	1	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	8	1	no	—
752	C₂×C₄×C₁₃	—	8	1	no	—
753	C₂×C₄×C₁₃	—	8	1	no	—
754	C₂×C₄×C₁₃	—	8	1	no	—
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
760	C₂²⋊D₁₃	—	2	2	no	—
761	C₂²⋊D₁₃	—	2	2	no	—
762	C₂²⋊D₁₃	—	4	2	no	—
763	C₂²⋊D₁₃	—	4	2	no	—
764	C₂²⋊D₁₃	—	4	2	no	—
765	C₂²⋊D₁₃	—	8	1	no	—
766	C₂²⋊D₁₃	—	8	1	no	—
767	C₂×Dic₁₃	—	2	2	no	—
768	C₂×Dic₁₃	—	2	2	no	—
769	C₂×Dic₁₃	—	2	1	no	—
770	C₂×Dic₁₃	—	2	1	no	—
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	8	1	no	—
777	C₂×Dic₁₃	—	8	1	no	—
778	C₂×Dic₁₃	—	8	1	no	—
779	C₂×Dic₁₃	—	8	1	no	—
780	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
785	D₅₂	—	2	2	no	—
786	D₅₂	—	2	1	no	—
787	D₅₂	—	2	1	no	—
788	D₅₂	—	4	2	no	—
789	D₅₂	—	8	1	no	—
790	C₄×D₁₃	—	2	2	no	—
791	C₄×D₁₃	—	2	2	no	—
792	C₄×D₁₃	—	2	2	no	—
793	C₄×D₁₃	—	2	2	no	—
794	C₄×D₁₃	—	2	1	no	—
795	C₄×D₁₃	—	2	1	no	—
796	C₄×D₁₃	—	2	1	no	—
797	C₄×D₁₃	—	2	1	no	—
798	C₄×D₁₃	—	2	2	no	—
799	C₄×D₁₃	—	2	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	4	2	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	4	2	no	—
807	C₄×D₁₃	—	8	1	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	C₄×D₁₃	—	8	1	no	—
811	C₄×D₁₃	—	8	1	no	—
812	C₄×D₁₃	—	8	1	no	—
813	C₄×D₁₃	—	8	1	no	—
814	C₄×D₁₃	—	8	1	no	—
815	C₄×D₁₃	C₂×#41	1	2	yes	—
816	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
817	Dic₂₆	—	2	1	no	—
818	Dic₂₆	—	2	1	no	—
819	Dic₂₆	—	4	2	no	—
820	Dic₂₆	—	8	1	no	—
821	Dic₂₆	—	8	1	no	—
822	Dic₂₆	—	8	1	no	—
823	C₈×C₁₃	—	2	1	no	—
824	C₈×C₁₃	—	2	1	no	—
825	C₈×C₁₃	—	2	1	no	—
826	C₈×C₁₃	C₂×#41	1	2	yes	—
827	#1055	—	2	1	no	—
828	#1055	—	2	1	no	—
829	#1055	—	2	1	no	—
830	#1055	C₂×#41	1	2	yes	—
831	C₂²×SD₁₆	—	13	1	no	—
832	C₂²×M₁₆	—	13	1	no	—
833	C₂³×C₈	—	13	1	no	—
834	#554	—	13	1	no	—
835	#554	—	13	1	no	—
836	#554	—	13	1	no	—
837	#554	—	13	1	no	—
838	#554	—	13	1	no	—
839	#554	—	13	1	no	—
840	#554	—	13	1	no	—
841	#554	—	26	1	no	—
842	#554	—	26	1	no	—
843	#554	—	26	1	no	—
844	#554	—	26	1	no	—
845	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
846	#553	—	13	1	no	—
847	#553	—	13	1	no	—
848	#553	—	13	1	no	—
849	#553	—	13	1	no	—
850	#553	—	13	1	no	—
851	#553	—	13	1	no	—
852	#553	—	13	1	no	—
853	#553	—	26	1	no	—
854	#553	—	26	1	no	—
855	#553	—	26	1	no	—
856	#553	—	26	1	no	—
857	#553	C₂×D₁₃	1	1	yes	characteristic
858	C₂×C₄⋊Q₈	—	13	1	no	—
859	C₂×#126	—	26	1	no	—
860	C₂×#125	—	13	1	no	—
861	C₂×#125	—	26	1	no	—
862	C₂×#123	—	26	1	no	—
863	C₂×C₂²⋊Q₈	—	13	1	no	—
864	C₂×C₂²⋊Q₈	—	13	1	no	—
865	C₂×C₂²⋊Q₈	—	26	1	no	—
866	C₂×C₂²⋊Q₈	—	26	1	no	—
867	C₂×#121	—	13	1	no	—
868	C₂×#121	—	13	1	no	—
869	C₂×#121	—	26	1	no	—
870	C₂×C₄×Q₈	—	13	1	no	—
871	C₂×C₄×D₄	—	13	1	no	—
872	C₂×C₄×D₄	—	13	1	no	—
873	C₂×C₄×D₄	—	26	1	no	—
874	C₂×C₄×D₄	—	26	1	no	—
875	C₂×#117	—	13	1	no	—
876	C₂²×C₄⋊C₄	—	13	1	no	—
877	C₂²×C₄⋊C₄	—	13	1	no	—
878	C₂²×C₄⋊C₄	—	13	1	no	—
879	#501	—	13	1	no	—
880	#501	—	13	1	no	—
881	#501	—	13	1	no	—
882	#501	—	13	1	no	—
883	#501	—	13	1	no	—
884	#501	—	13	1	no	—
885	#501	—	13	1	no	—
886	#501	C₂×D₁₃	1	1	yes	characteristic, complemented
887	#485	—	13	1	no	—
888	#485	—	13	1	no	—
889	#485	—	13	1	no	—
890	#485	—	13	1	no	—
891	#485	—	13	1	no	—
892	#485	—	13	1	no	—
893	#485	—	13	1	no	—
894	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
895	#484	—	13	1	no	—
896	#484	—	13	1	no	—
897	#484	—	13	1	no	—
898	#484	—	13	1	no	—
899	#484	—	13	1	no	—
900	#484	—	13	1	no	—
901	#484	—	13	1	no	—
902	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
903	#481	—	13	1	no	—
904	#481	—	13	1	no	—
905	#481	—	13	1	no	—
906	#481	—	13	1	no	—
907	#481	—	13	1	no	—
908	#481	—	13	1	no	—
909	#481	—	13	1	no	—
910	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
911	#480	—	13	1	no	—
912	#480	—	13	1	no	—
913	#480	—	13	1	no	—
914	#480	—	13	1	no	—
915	#480	—	13	1	no	—
916	#480	—	13	1	no	—
917	#480	—	13	1	no	—
918	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
919	#479	—	13	1	no	—
920	#479	—	13	1	no	—
921	#479	—	13	1	no	—
922	#479	—	13	1	no	—
923	#479	—	13	1	no	—
924	#479	—	13	1	no	—
925	#479	—	13	1	no	—
926	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#474	—	13	1	no	—
928	#474	—	13	1	no	—
929	#474	—	13	1	no	—
930	#474	—	13	1	no	—
931	#474	—	13	1	no	—
932	#474	—	13	1	no	—
933	#474	—	13	1	no	—
934	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#468	—	13	1	no	—
936	#468	—	13	1	no	—
937	#468	—	13	1	no	—
938	#468	—	13	1	no	—
939	#468	—	13	1	no	—
940	#468	—	13	1	no	—
941	#468	—	13	1	no	—
942	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
943	#465	—	13	1	no	—
944	#465	—	13	1	no	—
945	#465	—	13	1	no	—
946	#465	—	13	1	no	—
947	#465	—	13	1	no	—
948	#465	—	13	1	no	—
949	#465	—	13	1	no	—
950	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
951	#440	—	13	1	no	—
952	#440	—	13	1	no	—
953	#440	—	13	1	no	—
954	#440	—	13	1	no	—
955	#440	—	13	1	no	—
956	#440	—	13	1	no	—
957	#440	—	13	1	no	—
958	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#435	—	13	1	no	—
960	#435	—	13	1	no	—
961	#435	—	13	1	no	—
962	#435	—	13	1	no	—
963	#435	—	13	1	no	—
964	#435	—	13	1	no	—
965	#435	—	13	1	no	—
966	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#428	—	13	1	no	—
968	#428	—	13	1	no	—
969	#428	—	13	1	no	—
970	#428	—	13	1	no	—
971	#428	—	13	1	no	—
972	#428	—	13	1	no	—
973	#428	—	13	1	no	—
974	#428	C₂×D₁₃	1	1	yes	characteristic, complemented
975	C₂×#107	—	13	1	no	—
976	C₂×#107	—	13	1	no	—
977	C₂×#107	—	13	1	no	—
978	C₂×#107	—	13	1	no	—
979	C₂×#107	—	13	1	no	—
980	C₂×#107	—	13	1	no	—
981	C₂×#107	—	13	1	no	—
982	C₂×#107	—	13	1	no	—
983	C₂×#107	—	13	1	no	—
984	C₂×#107	—	13	1	no	—
985	C₂×#107	—	13	1	no	—
986	C₂×#107	—	13	1	no	—
987	C₂×#107	—	13	1	no	—
988	C₂×#107	C₂×D₁₃	1	1	yes	characteristic, complemented
989	C₂×#106	—	13	1	no	—
990	C₂×#106	—	13	1	no	—
991	C₂×#106	—	13	1	no	—
992	C₂×C₄⋊C₈	—	13	1	no	—
993	C₂×#103	—	13	1	no	—
994	C₂×#103	—	13	1	no	—
995	C₂×#103	—	13	1	no	—
996	C₂×#102	—	13	1	no	—
997	C₂×#102	—	13	1	no	—
998	C₂×#102	—	13	1	no	—
999	C₂×C₂²⋊C₈	—	13	1	no	—
1000	C₂×C₂²⋊C₈	—	13	1	no	—
1001	C₂×#97	—	13	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	C₂×#137	1	2	yes	—
1011	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1012	C₂×D₁₃	—	2	1	no	—
1013	C₂×D₁₃	—	2	1	no	—
1014	C₂×D₁₃	—	2	8	no	—
1015	C₂×D₁₃	—	2	1	no	—
1016	C₂×D₁₃	—	2	1	no	—
1017	C₂×D₁₃	—	2	1	no	—
1018	C₂×D₁₃	—	4	4	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	—	4	1	no	—
1021	C₂×D₁₃	—	4	1	no	—
1022	C₂×D₁₃	—	8	4	no	—
1023	C₂×D₁₃	#547	1	2	yes	—
1024	C₂×D₁₃	C₂×#137	1	2	yes	—
1025	C₂×D₁₃	C₂×#137	1	2	yes	—
1026	C₂×D₁₃	#576	1	2	yes	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	4	1	no	—
1032	C₄×C₁₃	—	4	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1039	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1040	Dic₁₃	—	2	1	no	—
1041	Dic₁₃	—	2	1	no	—
1042	Dic₁₃	—	2	1	no	—
1043	Dic₁₃	—	2	1	no	—
1044	Dic₁₃	—	4	1	no	—
1045	Dic₁₃	—	4	1	no	—
1046	Dic₁₃	—	4	1	no	—
1047	Dic₁₃	—	4	1	no	—
1048	Dic₁₃	—	4	1	no	—
1049	Dic₁₃	—	4	1	no	—
1050	Dic₁₃	—	4	1	no	—
1051	Dic₁₃	#547	1	2	yes	—
1052	C₂²×Q₈	—	13	1	no	—
1053	C₂²×Q₈	—	26	1	no	—
1054	C₂²×D₄	—	13	1	no	—
1055	C₂²×D₄	—	13	1	no	—
1056	C₂²×D₄	—	26	1	no	—
1057	C₂²×D₄	—	26	1	no	—
1058	C₂³×C₄	—	13	1	no	—
1059	C₂³×C₄	—	13	1	no	—
1060	C₂³×C₄	—	26	1	no	—
1061	C₂³×C₄	—	26	1	no	—
1062	C₂³×C₄	—	26	1	no	—
1063	C₂³×C₄	—	26	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	13	1	no	—
1066	C₂×SD₁₆	—	13	1	no	—
1067	C₂×SD₁₆	—	26	4	no	—
1068	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×M₁₆	—	13	1	no	—
1070	C₂×M₁₆	—	13	1	no	—
1071	C₂×M₁₆	—	13	1	no	—
1072	C₂×M₁₆	—	26	4	no	—
1073	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1074	C₂²×C₈	—	13	1	no	—
1075	C₂²×C₈	—	13	1	no	—
1076	C₂²×C₈	—	13	1	no	—
1077	C₂²×C₈	—	13	1	no	—
1078	C₂²×C₈	—	13	1	no	—
1079	C₂²×C₈	—	13	1	no	—
1080	C₂²×C₈	—	13	1	no	—
1081	C₂²×C₈	—	26	4	no	—
1082	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1083	C₄⋊Q₈	—	13	1	no	—
1084	C₄⋊Q₈	—	13	1	no	—
1085	C₄⋊Q₈	—	13	1	no	—
1086	C₄⋊Q₈	—	26	1	no	—
1087	C₄⋊Q₈	—	26	1	no	—
1088	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1089	#126	—	2	1	no	—
1090	#126	—	26	1	no	—
1091	#126	—	26	1	no	—
1092	#126	—	26	1	no	—
1093	#126	—	26	1	no	—
1094	#126	—	26	1	no	—
1095	#126	—	26	1	no	—
1096	#126	—	26	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	13	1	no	—
1099	#125	—	13	1	no	—
1100	#125	—	13	1	no	—
1101	#125	—	26	1	no	—
1102	#125	—	26	1	no	—
1103	#125	—	26	1	no	—
1104	#125	—	26	1	no	—
1105	#125	—	26	1	no	—
1106	#125	—	26	1	no	—
1107	#125	—	26	1	no	—
1108	#125	—	26	1	no	—
1109	#125	—	26	1	no	—
1110	#125	C₂²×D₁₃	1	1	yes	characteristic
1111	#123	—	2	1	no	—
1112	#123	—	26	1	no	—
1113	#123	—	26	1	no	—
1114	#123	—	26	1	no	—
1115	#123	—	26	1	no	—
1116	#123	—	26	1	no	—
1117	#123	—	26	1	no	—
1118	#123	—	26	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	13	1	no	—
1122	C₂²⋊Q₈	—	13	1	no	—
1123	C₂²⋊Q₈	—	13	1	no	—
1124	C₂²⋊Q₈	—	13	1	no	—
1125	C₂²⋊Q₈	—	13	1	no	—
1126	C₂²⋊Q₈	—	13	1	no	—
1127	C₂²⋊Q₈	—	26	1	no	—
1128	C₂²⋊Q₈	—	26	1	no	—
1129	C₂²⋊Q₈	—	26	1	no	—
1130	C₂²⋊Q₈	—	26	1	no	—
1131	C₂²⋊Q₈	—	26	1	no	—
1132	C₂²⋊Q₈	—	26	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	—	26	1	no	—
1143	C₂²⋊Q₈	—	26	1	no	—
1144	C₂²⋊Q₈	—	26	1	no	—
1145	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1147	#121	—	2	1	no	—
1148	#121	—	13	1	no	—
1149	#121	—	13	1	no	—
1150	#121	—	13	1	no	—
1151	#121	—	13	1	no	—
1152	#121	—	13	1	no	—
1153	#121	—	13	1	no	—
1154	#121	—	26	1	no	—
1155	#121	—	26	1	no	—
1156	#121	—	26	1	no	—
1157	#121	—	26	1	no	—
1158	#121	—	26	1	no	—
1159	#121	—	26	1	no	—
1160	#121	—	26	1	no	—
1161	#121	—	26	1	no	—
1162	#121	—	26	1	no	—
1163	#121	—	26	1	no	—
1164	#121	—	26	1	no	—
1165	#121	C₂²×D₁₃	1	1	yes	characteristic
1166	#121	C₂²×D₁₃	1	1	yes	characteristic
1167	C₄×Q₈	—	13	1	no	—
1168	C₄×Q₈	—	13	1	no	—
1169	C₄×Q₈	—	13	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	13	1	no	—
1176	C₄×D₄	—	13	1	no	—
1177	C₄×D₄	—	13	1	no	—
1178	C₄×D₄	—	13	1	no	—
1179	C₄×D₄	—	13	1	no	—
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	13	1	no	—
1183	C₄×D₄	—	13	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	26	1	no	—
1186	C₄×D₄	—	26	1	no	—
1187	C₄×D₄	—	26	1	no	—
1188	C₄×D₄	—	26	1	no	—
1189	C₄×D₄	—	26	1	no	—
1190	C₄×D₄	—	26	1	no	—
1191	C₄×D₄	—	26	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1202	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1203	#117	—	13	1	no	—
1204	#117	—	13	1	no	—
1205	#117	—	13	1	no	—
1206	#117	—	26	1	no	—
1207	#117	—	26	1	no	—
1208	#117	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	—	13	1	no	—
1210	C₂×C₄⋊C₄	—	13	1	no	—
1211	C₂×C₄⋊C₄	—	13	1	no	—
1212	C₂×C₄⋊C₄	—	13	1	no	—
1213	C₂×C₄⋊C₄	—	13	1	no	—
1214	C₂×C₄⋊C₄	—	13	1	no	—
1215	C₂×C₄⋊C₄	—	13	1	no	—
1216	C₂×C₄⋊C₄	—	13	1	no	—
1217	C₂×C₄⋊C₄	—	13	1	no	—
1218	C₂×C₄⋊C₄	—	13	1	no	—
1219	C₂×C₄⋊C₄	—	13	1	no	—
1220	C₂×C₄⋊C₄	—	13	1	no	—
1221	C₂×C₄⋊C₄	—	13	1	no	—
1222	C₂×C₄⋊C₄	—	13	1	no	—
1223	C₂×C₄⋊C₄	—	13	1	no	—
1224	C₂×C₄⋊C₄	—	13	1	no	—
1225	C₂×C₄⋊C₄	—	26	1	no	—
1226	C₂×C₄⋊C₄	—	26	1	no	—
1227	C₂×C₄⋊C₄	—	26	1	no	—
1228	C₂×C₄⋊C₄	—	26	1	no	—
1229	C₂×C₄⋊C₄	—	26	1	no	—
1230	C₂×C₄⋊C₄	—	26	1	no	—
1231	C₂×C₄⋊C₄	—	26	1	no	—
1232	C₂×C₄⋊C₄	—	26	1	no	—
1233	C₂×C₄⋊C₄	—	26	1	no	—
1234	C₂×C₄⋊C₄	—	26	1	no	—
1235	C₂×C₄⋊C₄	—	26	1	no	—
1236	C₂×C₄⋊C₄	—	26	1	no	—
1237	C₂×C₄⋊C₄	—	26	1	no	—
1238	C₂×C₄⋊C₄	—	26	1	no	—
1239	C₂×C₄⋊C₄	—	26	1	no	—
1240	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1242	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	—	13	1	no	—
1244	C₂×C₂²⋊C₄	—	13	1	no	—
1245	C₂×C₂²⋊C₄	—	26	1	no	—
1246	C₂×C₂²⋊C₄	—	26	1	no	—
1247	C₂×C₂²⋊C₄	—	26	1	no	—
1248	C₂×C₂²⋊C₄	—	26	1	no	—
1249	C₂×C₂²⋊C₄	—	26	1	no	—
1250	C₂×C₂²⋊C₄	—	26	1	no	—
1251	C₂×C₄²	—	13	1	no	—
1252	C₂×C₄²	—	26	1	no	—
1253	C₂×C₄²	—	26	1	no	—
1254	#107	—	13	1	no	—
1255	#107	—	13	1	no	—
1256	#107	—	13	1	no	—
1257	#107	—	13	1	no	—
1258	#107	—	13	1	no	—
1259	#107	—	13	1	no	—
1260	#107	—	13	1	no	—
1261	#107	—	13	1	no	—
1262	#107	—	13	1	no	—
1263	#107	—	13	1	no	—
1264	#107	—	13	1	no	—
1265	#107	—	13	1	no	—
1266	#107	—	13	1	no	—
1267	#107	—	13	1	no	—
1268	#107	—	13	1	no	—
1269	#107	—	13	1	no	—
1270	#107	—	13	1	no	—
1271	#107	—	13	1	no	—
1272	#107	C₂²×D₁₃	1	1	yes	characteristic
1273	#107	C₂²×D₁₃	1	1	yes	characteristic
1274	#107	C₂²×D₁₃	1	1	yes	characteristic
1275	#107	C₂²×D₁₃	1	1	yes	characteristic
1276	#107	C₂²×D₁₃	1	1	yes	characteristic
1277	#107	C₂²×D₁₃	1	1	yes	characteristic
1278	#106	—	13	1	no	—
1279	#106	—	13	1	no	—
1280	#106	—	13	1	no	—
1281	#106	—	13	1	no	—
1282	#106	—	13	1	no	—
1283	#106	—	13	1	no	—
1284	#106	—	13	1	no	—
1285	#106	—	13	1	no	—
1286	#106	—	13	1	no	—
1287	#106	C₂²×D₁₃	1	1	yes	characteristic
1288	#106	C₂²×D₁₃	1	1	yes	characteristic
1289	#106	C₂²×D₁₃	1	1	yes	characteristic
1290	C₄⋊C₈	—	13	1	no	—
1291	C₄⋊C₈	—	13	1	no	—
1292	C₄⋊C₈	—	13	1	no	—
1293	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1294	#103	—	13	1	no	—
1295	#103	—	13	1	no	—
1296	#103	—	13	1	no	—
1297	#103	—	13	1	no	—
1298	#103	—	13	1	no	—
1299	#103	—	13	1	no	—
1300	#103	—	13	1	no	—
1301	#103	—	13	1	no	—
1302	#103	—	13	1	no	—
1303	#103	C₂²×D₁₃	1	1	yes	characteristic
1304	#103	C₂²×D₁₃	1	1	yes	characteristic
1305	#103	C₂²×D₁₃	1	1	yes	characteristic
1306	#102	—	13	1	no	—
1307	#102	—	13	1	no	—
1308	#102	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	—	13	1	no	—
1315	#102	C₂²×D₁₃	1	1	yes	characteristic
1316	#102	C₂²×D₁₃	1	1	yes	characteristic
1317	#102	C₂²×D₁₃	1	1	yes	characteristic
1318	C₂²⋊C₈	—	13	1	no	—
1319	C₂²⋊C₈	—	13	1	no	—
1320	C₂²⋊C₈	—	13	1	no	—
1321	C₂²⋊C₈	—	13	1	no	—
1322	C₂²⋊C₈	—	13	1	no	—
1323	C₂²⋊C₈	—	13	1	no	—
1324	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1326	#97	—	13	1	no	—
1327	#97	—	13	1	no	—
1328	#97	—	13	1	no	—
1329	#97	C₂²×D₁₃	1	1	yes	characteristic
1330	C₂×C₁₃	—	2	2	no	—
1331	C₂×C₁₃	—	4	1	no	—
1332	C₂×C₁₃	—	8	1	no	—
1333	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
1334	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1335	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1336	D₁₃	—	2	2	no	—
1337	D₁₃	—	4	1	no	—
1338	D₁₃	—	8	1	no	—
1339	D₁₃	#3346	1	4	yes	direct product factor
1340	C₂⁴	—	13	1	no	—
1341	C₂⁴	—	13	1	no	—
1342	C₂⁴	—	26	1	no	—
1343	C₂×Q₈	—	2	1	no	—
1344	C₂×Q₈	—	13	1	no	—
1345	C₂×Q₈	—	26	1	no	—
1346	C₂×Q₈	—	26	1	no	—
1347	C₂×Q₈	—	26	1	no	—
1348	C₂×Q₈	—	26	2	no	—
1349	C₂×Q₈	—	26	2	no	—
1350	C₂×Q₈	—	26	1	no	—
1351	C₂×Q₈	—	104	2	no	—
1352	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	13	1	no	—
1356	C₂×D₄	—	13	1	no	—
1357	C₂×D₄	—	13	1	no	—
1358	C₂×D₄	—	13	1	no	—
1359	C₂×D₄	—	26	1	no	—
1360	C₂×D₄	—	26	1	no	—
1361	C₂×D₄	—	26	2	no	—
1362	C₂×D₄	—	26	2	no	—
1363	C₂×D₄	—	26	1	no	—
1364	C₂×D₄	—	26	4	no	—
1365	C₂×D₄	—	26	1	no	—
1366	C₂×D₄	—	26	1	no	—
1367	C₂×D₄	—	26	1	no	—
1368	C₂×D₄	—	26	1	no	—
1369	C₂×D₄	—	52	4	no	—
1370	C₂×D₄	—	104	2	no	—
1371	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1372	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	13	1	no	—
1378	C₂²×C₄	—	13	1	no	—
1379	C₂²×C₄	—	13	1	no	—
1380	C₂²×C₄	—	13	1	no	—
1381	C₂²×C₄	—	13	1	no	—
1382	C₂²×C₄	—	13	1	no	—
1383	C₂²×C₄	—	13	1	no	—
1384	C₂²×C₄	—	13	1	no	—
1385	C₂²×C₄	—	13	1	no	—
1386	C₂²×C₄	—	13	1	no	—
1387	C₂²×C₄	—	13	1	no	—
1388	C₂²×C₄	—	26	2	no	—
1389	C₂²×C₄	—	26	2	no	—
1390	C₂²×C₄	—	26	2	no	—
1391	C₂²×C₄	—	26	2	no	—
1392	C₂²×C₄	—	26	1	no	—
1393	C₂²×C₄	—	26	1	no	—
1394	C₂²×C₄	—	26	1	no	—
1395	C₂²×C₄	—	26	1	no	—
1396	C₂²×C₄	—	26	1	no	—
1397	C₂²×C₄	—	26	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	26	1	no	—
1404	C₂²×C₄	—	26	1	no	—
1405	C₂²×C₄	—	26	1	no	—
1406	C₂²×C₄	—	26	1	no	—
1407	C₂²×C₄	—	26	1	no	—
1408	C₂²×C₄	—	26	1	no	—
1409	C₂²×C₄	—	26	1	no	—
1410	C₂²×C₄	—	26	1	no	—
1411	C₂²×C₄	—	104	2	no	—
1412	C₂²×C₄	—	104	2	no	—
1413	C₂²×C₄	—	104	2	no	—
1414	C₂²×C₄	—	104	2	no	—
1415	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1416	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1417	SD₁₆	—	2	2	no	—
1418	SD₁₆	—	26	2	no	—
1419	SD₁₆	—	26	2	no	—
1420	SD₁₆	—	26	2	no	—
1421	M₁₆	—	2	2	no	—
1422	M₁₆	—	26	2	no	—
1423	M₁₆	—	26	2	no	—
1424	M₁₆	—	26	2	no	—
1425	C₂×C₈	—	2	2	no	—
1426	C₂×C₈	—	13	1	no	—
1427	C₂×C₈	—	13	4	no	—
1428	C₂×C₈	—	13	1	no	—
1429	C₂×C₈	—	13	1	no	—
1430	C₂×C₈	—	13	1	no	—
1431	C₂×C₈	—	26	2	no	—
1432	C₂×C₈	—	26	2	no	—
1433	C₂×C₈	—	26	2	no	—
1434	C₂×C₈	—	26	2	no	—
1435	C₂×C₈	—	26	2	no	—
1436	C₂×C₈	—	26	2	no	—
1437	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	13	1	no	—
1453	C₄⋊C₄	—	13	1	no	—
1454	C₄⋊C₄	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	—	26	1	no	—
1485	C₄⋊C₄	—	26	1	no	—
1486	C₄⋊C₄	—	26	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	—	26	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	—	26	1	no	—
1491	C₄⋊C₄	—	26	1	no	—
1492	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	13	1	no	—
1506	C₂²⋊C₄	—	13	1	no	—
1507	C₂²⋊C₄	—	13	1	no	—
1508	C₂²⋊C₄	—	13	1	no	—
1509	C₂²⋊C₄	—	13	1	no	—
1510	C₂²⋊C₄	—	13	1	no	—
1511	C₂²⋊C₄	—	26	1	no	—
1512	C₂²⋊C₄	—	26	1	no	—
1513	C₂²⋊C₄	—	26	1	no	—
1514	C₂²⋊C₄	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₂²⋊C₄	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	—	26	1	no	—
1527	C₂²⋊C₄	—	26	1	no	—
1528	C₂²⋊C₄	—	26	1	no	—
1529	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1530	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	13	1	no	—
1534	C₄²	—	13	1	no	—
1535	C₄²	—	13	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	—	26	1	no	—
1539	C₄²	—	26	1	no	—
1540	C₄²	—	26	1	no	—
1541	C₄²	—	26	1	no	—
1542	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1543	C₁₃	C₂×#3346	1	1	yes	characteristic, complemented, Sylow
1544	C₂³	—	2	1	no	—
1545	C₂³	—	13	1	no	—
1546	C₂³	—	13	4	no	—
1547	C₂³	—	13	1	no	—
1548	C₂³	—	13	1	no	—
1549	C₂³	—	26	2	no	—
1550	C₂³	—	26	2	no	—
1551	C₂³	—	26	2	no	—
1552	C₂³	—	26	2	no	—
1553	C₂³	—	26	2	no	—
1554	C₂³	—	26	1	no	—
1555	C₂³	—	52	2	no	—
1556	C₂³	—	52	2	no	—
1557	C₂³	—	52	2	no	—
1558	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1559	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	8	1	no	—
1563	Q₈	—	26	1	no	—
1564	Q₈	—	26	1	no	—
1565	Q₈	—	52	2	no	—
1566	Q₈	—	104	1	no	—
1567	Q₈	—	104	1	no	—
1568	Q₈	—	104	1	no	—
1569	D₄	—	2	2	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	26	2	no	—
1575	D₄	—	26	2	no	—
1576	D₄	—	26	2	no	—
1577	D₄	—	26	1	no	—
1578	D₄	—	26	1	no	—
1579	D₄	—	52	2	no	—
1580	D₄	—	52	2	no	—
1581	D₄	—	52	2	no	—
1582	D₄	—	52	2	no	—
1583	D₄	—	104	1	no	—
1584	D₄	—	104	1	no	—
1585	D₄	—	104	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	13	1	no	—
1602	C₂×C₄	—	13	2	no	—
1603	C₂×C₄	—	13	2	no	—
1604	C₂×C₄	—	13	1	no	—
1605	C₂×C₄	—	13	1	no	—
1606	C₂×C₄	—	13	1	no	—
1607	C₂×C₄	—	13	1	no	—
1608	C₂×C₄	—	26	2	no	—
1609	C₂×C₄	—	26	2	no	—
1610	C₂×C₄	—	26	2	no	—
1611	C₂×C₄	—	26	2	no	—
1612	C₂×C₄	—	26	2	no	—
1613	C₂×C₄	—	26	2	no	—
1614	C₂×C₄	—	26	2	no	—
1615	C₂×C₄	—	26	2	no	—
1616	C₂×C₄	—	26	1	no	—
1617	C₂×C₄	—	26	1	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	1	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	26	1	no	—
1622	C₂×C₄	—	26	1	no	—
1623	C₂×C₄	—	26	1	no	—
1624	C₂×C₄	—	26	1	no	—
1625	C₂×C₄	—	26	1	no	—
1626	C₂×C₄	—	26	1	no	—
1627	C₂×C₄	—	52	2	no	—
1628	C₂×C₄	—	52	2	no	—
1629	C₂×C₄	—	52	2	no	—
1630	C₂×C₄	—	52	2	no	—
1631	C₂×C₄	—	52	2	no	—
1632	C₂×C₄	—	52	2	no	—
1633	C₂×C₄	—	52	2	no	—
1634	C₂×C₄	—	104	1	no	—
1635	C₂×C₄	—	104	1	no	—
1636	C₂×C₄	—	104	1	no	—
1637	C₂×C₄	—	104	1	no	—
1638	C₂×C₄	—	104	1	no	—
1639	C₂×C₄	—	104	1	no	—
1640	C₂×C₄	—	104	1	no	—
1641	C₂×C₄	—	104	1	no	—
1642	C₂×C₄	—	104	1	no	—
1643	C₂×C₄	—	104	1	no	—
1644	C₂×C₄	—	104	1	no	—
1645	C₂×C₄	—	104	1	no	—
1646	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1647	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₈	—	13	2	no	—
1655	C₈	—	26	1	no	—
1656	C₈	—	26	1	no	—
1657	C₈	—	26	1	no	—
1658	C₈	#41×D₁₃	1	2	yes	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	13	2	no	—
1668	C₂²	—	13	2	no	—
1669	C₂²	—	13	2	no	—
1670	C₂²	—	13	2	no	—
1671	C₂²	—	26	8	no	—
1672	C₂²	—	26	1	no	—
1673	C₂²	—	26	1	no	—
1674	C₂²	—	26	1	no	—
1675	C₂²	—	26	1	no	—
1676	C₂²	—	26	1	no	—
1677	C₂²	—	52	4	no	—
1678	C₂²	—	52	1	no	—
1679	C₂²	—	52	1	no	—
1680	C₂²	—	52	1	no	—
1681	C₂²	—	104	4	no	—
1682	C₂²	D₁₃×#137	1	2	yes	—
1683	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	13	2	no	—
1696	C₄	—	26	1	no	—
1697	C₄	—	26	1	no	—
1698	C₄	—	26	1	no	—
1699	C₄	—	26	1	no	—
1700	C₄	—	52	1	no	—
1701	C₄	—	52	1	no	—
1702	C₄	—	52	1	no	—
1703	C₄	—	52	1	no	—
1704	C₄	—	52	1	no	—
1705	C₄	—	52	1	no	—
1706	C₄	—	52	1	no	—
1707	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1708	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1709	C₂	—	2	2	no	—
1710	C₂	—	4	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	—	13	4	no	—
1713	C₂	—	26	2	no	—
1714	C₂	—	52	1	no	—
1715	C₂	—	104	1	no	—
1716	C₂	D₁₃×#547	1	1	yes	characteristic
1717	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1718	C₂	D₁₃×#576	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×#3346	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#553	C₂
hypercenter	#3346	D₁₃
hypocenter	C₁₃	C₂×#3346
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3346

Complements

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

N	H ≅ G/N	type
1. D₁₃×#554	C₂	semidirect
3. #13127328	C₂	semidirect
4. #13127327	C₂	semidirect
5. #13127326	C₂	semidirect
6. #13127325	C₂	semidirect
7. #13127324	C₂	semidirect
8. #13127323	C₂	semidirect
9. #13127322	C₂	semidirect
10. #13127321	C₂	semidirect
11. #13127320	C₂	semidirect
12. #13127319	C₂	semidirect
13. #13127318	C₂	semidirect
14. #13127317	C₂	semidirect
15. #13127316	C₂	semidirect
16. #13127315	C₂	semidirect
17. #13127314	C₂	semidirect
18. D₁₃×#501	C₂	semidirect
19. D₁₃×#484	C₂	semidirect
20. D₁₃×#481	C₂	semidirect
21. D₁₃×#485	C₂	semidirect
22. D₁₃×#480	C₂	semidirect
23. D₁₃×#479	C₂	semidirect
24. D₁₃×#474	C₂	semidirect
25. D₁₃×#468	C₂	semidirect
26. D₁₃×#465	C₂	semidirect
27. D₁₃×#440	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#428	C₂	semidirect
30. C₂×D₁₃×#107	C₂	semidirect
31. C₁₃×#3346	C₂	semidirect
32. C₁₃×#554	C₂²	semidirect
37. #11719435	C₂²	semidirect
49. #11719340	C₂²	semidirect
50. #11719340	C₂²	semidirect
61. #11719284	C₂²	semidirect
69. #11719248	C₂²	semidirect
75. #11719216	C₂²	semidirect
76. #11719216	C₂²	semidirect
80. C₁₃×#501	C₂²	semidirect
81. C₁₃×#485	C₂²	semidirect
82. C₁₃×#484	C₂²	semidirect
83. C₁₃×#481	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#474	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#440	C₂²	semidirect
90. C₁₃×#435	C₂²	semidirect
91. C₁₃×#428	C₂²	semidirect
92. C₂×C₁₃×#107	C₂²	semidirect
93. #11718835	C₂²	semidirect
94. #11718832	C₂²	semidirect
95. #11718825	C₂²	semidirect
96. #11718795	C₂²	semidirect
97. #11718788	C₂²	semidirect
98. #11718782	C₂²	semidirect
99. #11718775	C₂²	semidirect
100. #11718772	C₂²	semidirect
101. C₂×#88058	C₂²	semidirect
102. #11718748	C₂²	semidirect
103. #11718741	C₂²	semidirect
104. #11718726	C₂²	semidirect
105. #11718724	C₂²	semidirect
106. #11718710	C₂²	semidirect
107. #11718709	C₂²	semidirect
108. #11718706	C₂²	semidirect
109. #11718705	C₂²	semidirect
110. #11718703	C₂²	semidirect
111. #11718702	C₂²	semidirect
112. #11718695	C₂²	semidirect
113. #11718694	C₂²	semidirect
114. #11718687	C₂²	semidirect
115. #11718683	C₂²	semidirect
116. #11718679	C₂²	semidirect
117. #11718672	C₂²	semidirect
118. #11718668	C₂²	semidirect
119. #11718657	C₂²	semidirect
120. #11718656	C₂²	semidirect
121. #11718631	C₂²	semidirect
122. #11718629	C₂²	semidirect
123. #11718628	C₂²	semidirect
124. #11718625	C₂²	semidirect
125. C₂×#88047	C₂²	semidirect
126. C₂×#88047	C₂²	semidirect
127. #11718551	C₂²	semidirect
128. #11718551	C₂²	semidirect
129. #11718550	C₂²	semidirect
130. #11718549	C₂²	semidirect
131. #11718547	C₂²	semidirect
132. #11718545	C₂²	semidirect
133. #11718545	C₂²	semidirect
134. #11718543	C₂²	semidirect
135. #11718543	C₂²	semidirect
136. #11718542	C₂²	semidirect
137. #11718542	C₂²	semidirect
144. D₁₃×#107	C₂²	semidirect
145. D₁₃×#107	C₂²	semidirect
146. D₁₃×#107	C₂²	semidirect
147. D₁₃×#107	C₂²	semidirect
148. #11718538	C₂²	semidirect
149. #11718537	C₂²	semidirect
150. #11718537	C₂²	semidirect
151. #11718528	C₂²	semidirect
152. #11718525	C₂²	semidirect
153. #11718524	C₂²	semidirect
154. #11718524	C₂²	semidirect
155. #11718522	C₂²	semidirect
156. #11718522	C₂²	semidirect
160. #11718518	C₂²	semidirect
161. #11718517	C₂²	semidirect
162. #11718517	C₂²	semidirect
163. #11718507	C₂²	semidirect
164. #11718497	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718478	C₂²	semidirect
168. #11718476	C₂²	semidirect
169. #11718475	C₂²	semidirect
170. #11718473	C₂²	semidirect
171. #11718470	C₂²	semidirect
172. #11718470	C₂²	semidirect
173. #11718468	C₂²	semidirect
177. #11718460	C₂²	semidirect
178. #11718457	C₂²	semidirect
179. #11718441	C₂²	semidirect
180. #11718439	C₂²	semidirect
181. #11718438	C₂²	semidirect
182. #11718438	C₂²	semidirect
183. #11718435	C₂²	semidirect
184. #11718435	C₂²	semidirect
188. #11718420	C₂²	semidirect
189. #11718420	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718397	C₂²	semidirect
192. #11718396	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718389	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
200. #11718367	C₂²	semidirect
202. #11718363	C₂²	semidirect
702. #3346	D₁₃	direct (N × H)
845. #554	C₂×D₁₃	semidirect
886. #501	C₂×D₁₃	semidirect
894. #485	C₂×D₁₃	semidirect
902. #484	C₂×D₁₃	semidirect
910. #481	C₂×D₁₃	semidirect
918. #480	C₂×D₁₃	semidirect
926. #479	C₂×D₁₃	semidirect
934. #474	C₂×D₁₃	semidirect
942. #468	C₂×D₁₃	semidirect
950. #465	C₂×D₁₃	semidirect
958. #440	C₂×D₁₃	semidirect
966. #435	C₂×D₁₃	semidirect
974. #428	C₂×D₁₃	semidirect
988. C₂×#107	C₂×D₁₃	semidirect
1339. D₁₃	#3346	direct (N × H)
1543. C₁₃	C₂×#3346	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#554	2
D₁₃×#553	2
#13127328	2
#13127327	2
#13127326	2
#13127325	2
#13127324	2
#13127323	2
#13127322	2
#13127321	2
#13127320	2
#13127319	2
#13127318	2
#13127317	2
#13127316	2
#13127315	2
#13127314	2
D₁₃×#501	2
D₁₃×#484	2
D₁₃×#481	2
D₁₃×#485	2
D₁₃×#480	2
D₁₃×#479	2
D₁₃×#474	2
D₁₃×#468	2
D₁₃×#465	2
D₁₃×#440	2
D₁₃×#435	2
D₁₃×#428	2
C₂×D₁₃×#107	2
C₁₃×#3346	2
C₂×#3346	13

Subgroups — D13×#3346 #16741490

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3346 #16741490