Subgroups — D₁₃×#2527 #16032641

Order 3328.

2246 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13119630	C₂	1	1	yes	maximal, characteristic, complemented
2	#13119629	C₂	1	1	yes	maximal, characteristic, complemented
3	#13119628	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119627	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119626	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119625	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119624	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119623	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119622	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119621	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119620	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119619	C₂	1	1	yes	maximal, characteristic, complemented
13	#13119618	C₂	1	1	yes	maximal, characteristic, complemented
14	#13119617	C₂	1	1	yes	maximal, characteristic, complemented
15	#13119616	C₂	1	1	yes	maximal, characteristic, complemented
16	D₁₃×#401	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#400	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#397	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#393	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#391	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#391	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
23	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#385	C₂	1	1	yes	maximal, characteristic
28	D₁₃×#381	C₂	1	1	yes	maximal, characteristic
29	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
30	D₁₃×#376	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2527	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
49	C₁₃×#401	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#397	C₂²	1	1	yes	characteristic
52	C₁₃×#393	C₂²	1	1	yes	characteristic
53	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#388	C₂²	1	1	yes	characteristic
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#385	C₂²	1	1	yes	characteristic
61	C₁₃×#381	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
64	#11718892	C₂²	1	1	yes	characteristic
65	#11718891	C₂²	1	1	yes	characteristic, complemented
66	#11718891	C₂²	1	1	yes	characteristic, complemented
67	#11718872	C₂²	1	1	yes	characteristic
68	#11718871	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
70	#11718654	C₂²	1	1	yes	characteristic
71	#11718651	C₂²	1	1	yes	characteristic
72	#11718651	C₂²	1	1	yes	characteristic
73	#11718650	C₂²	1	1	yes	characteristic
74	#11718650	C₂²	1	1	yes	characteristic
75	#11718647	C₂²	1	1	yes	characteristic, complemented
76	#11718643	C₂²	1	1	yes	characteristic, complemented
77	#11718642	C₂²	1	1	yes	characteristic, complemented
78	#11718642	C₂²	1	1	yes	characteristic, complemented
79	#11718642	C₂²	1	1	yes	characteristic, complemented
80	#11718639	C₂²	1	1	yes	characteristic, complemented
81	#11718639	C₂²	1	1	yes	characteristic, complemented
82	#11718639	C₂²	1	1	yes	characteristic, complemented
83	#11718635	C₂²	1	1	yes	characteristic, complemented
84	#11718635	C₂²	1	1	yes	characteristic, complemented
85	#11718614	C₂²	1	1	yes	characteristic
86	#11718613	C₂²	1	1	yes	characteristic
87	#11718613	C₂²	1	1	yes	characteristic
88	#11718612	C₂²	1	1	yes	characteristic
89	#11718612	C₂²	1	1	yes	characteristic
90	#11718611	C₂²	1	1	yes	characteristic
91	#11718608	C₂²	1	1	yes	characteristic
92	#11718608	C₂²	1	1	yes	characteristic
93	#11718608	C₂²	1	1	yes	characteristic
94	#11718607	C₂²	1	1	yes	characteristic
95	#11718606	C₂²	1	1	yes	characteristic
96	#11718606	C₂²	1	1	yes	characteristic
97	#11718605	C₂²	1	1	yes	characteristic
98	#11718605	C₂²	1	1	yes	characteristic
99	#11718604	C₂²	1	1	yes	characteristic
100	#11718604	C₂²	1	1	yes	characteristic
101	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
102	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
103	#11718601	C₂²	1	1	yes	characteristic
104	#11718601	C₂²	1	1	yes	characteristic
105	C₄×#6103	C₂²	1	1	yes	characteristic
106	C₄×#6103	C₂²	1	1	yes	characteristic
107	#11718594	C₂²	1	1	yes	characteristic, complemented
108	#11718594	C₂²	1	1	yes	characteristic, complemented
109	#11718594	C₂²	1	1	yes	characteristic, complemented
110	#11718593	C₂²	1	1	yes	characteristic, complemented
111	#11718593	C₂²	1	1	yes	characteristic, complemented
112	#11718593	C₂²	1	1	yes	characteristic, complemented
113	#11718590	C₂²	1	1	yes	characteristic, complemented
114	#11718590	C₂²	1	1	yes	characteristic, complemented
115	#11718336	C₂²	1	1	yes	characteristic
116	#11718336	C₂²	1	1	yes	characteristic
117	#11718335	C₂²	1	1	yes	characteristic
118	#11718334	C₂²	1	1	yes	characteristic
119	#11718334	C₂²	1	1	yes	characteristic
120	#11718334	C₂²	1	1	yes	characteristic
121	#11718331	C₂²	1	1	yes	characteristic
122	#11718331	C₂²	1	1	yes	characteristic
123	#11718330	C₂²	1	1	yes	characteristic
124	#11718330	C₂²	1	1	yes	characteristic
125	#11718329	C₂²	1	1	yes	characteristic
126	#11718329	C₂²	1	1	yes	characteristic
127	#11718327	C₂²	1	1	yes	characteristic
128	#11718327	C₂²	1	1	yes	characteristic
129	#11718325	C₂²	1	1	yes	characteristic
130	#11718325	C₂²	1	1	yes	characteristic
131	#11718325	C₂²	1	1	yes	characteristic
132	#11718325	C₂²	1	1	yes	characteristic
133	D₁₃×#95	C₂²	1	1	yes	characteristic
134	D₁₃×#95	C₂²	1	1	yes	characteristic
135	D₁₃×#95	C₂²	1	1	yes	characteristic
136	D₁₃×#95	C₂²	1	1	yes	characteristic
137	D₁₃×#95	C₂²	1	1	yes	characteristic
138	D₁₃×#95	C₂²	1	1	yes	characteristic
139	D₁₃×#95	C₂²	1	1	yes	characteristic
140	D₁₃×#95	C₂²	1	1	yes	characteristic
141	D₁₃×#95	C₂²	1	1	yes	characteristic
142	D₁₃×#95	C₂²	1	1	yes	characteristic
143	D₁₃×#95	C₂²	1	1	yes	characteristic
144	D₁₃×#95	C₂²	1	1	yes	characteristic
145	D₁₃×#95	C₂²	1	1	yes	characteristic
146	D₁₃×#95	C₂²	1	1	yes	characteristic
147	D₁₃×#95	C₂²	1	1	yes	characteristic
148	D₁₃×#95	C₂²	1	1	yes	characteristic
149	D₁₃×#95	C₂²	1	1	yes	characteristic
150	D₁₃×#95	C₂²	1	1	yes	characteristic
151	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
152	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
153	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
154	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
155	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
156	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
157	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
158	#11718321	C₂²	1	1	yes	characteristic, complemented
159	#11718321	C₂²	1	1	yes	characteristic, complemented
160	#11718320	C₂²	1	1	yes	characteristic, complemented
161	#11718319	C₂²	1	1	yes	characteristic, complemented
162	#11718319	C₂²	1	1	yes	characteristic, complemented
163	#11718316	C₂²	1	1	yes	characteristic, complemented
164	#11718316	C₂²	1	1	yes	characteristic, complemented
165	#11718316	C₂²	1	1	yes	characteristic, complemented
166	#11718315	C₂²	1	1	yes	characteristic, complemented
167	#11718315	C₂²	1	1	yes	characteristic, complemented
168	#11718315	C₂²	1	1	yes	characteristic, complemented
169	#11718314	C₂²	1	1	yes	characteristic, complemented
170	#11718314	C₂²	1	1	yes	characteristic, complemented
171	#11718314	C₂²	1	1	yes	characteristic, complemented
172	#11718313	C₂²	1	1	yes	characteristic, complemented
173	#11718313	C₂²	1	1	yes	characteristic, complemented
174	#11718313	C₂²	1	1	yes	characteristic, complemented
175	#11718309	C₂²	1	1	yes	characteristic, complemented
176	#11718309	C₂²	1	1	yes	characteristic, complemented
177	#11718309	C₂²	1	1	yes	characteristic, complemented
178	#11718309	C₂²	1	1	yes	characteristic, complemented
179	#11718307	C₂²	1	1	yes	characteristic, complemented
180	#11718307	C₂²	1	1	yes	characteristic, complemented
181	#11718307	C₂²	1	1	yes	characteristic, complemented
182	#11718307	C₂²	1	1	yes	characteristic, complemented
183	#11718307	C₂²	1	1	yes	characteristic, complemented
184	#11718307	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂×Q₈×D₁₃	—	2	4	no	—
192	C₂×Q₈×D₁₃	—	2	4	no	—
193	C₂×Q₈×D₁₃	—	4	2	no	—
194	C₂²×C₄×D₁₃	—	2	4	no	—
195	C₂²×C₄×D₁₃	—	2	4	no	—
196	C₂²×C₄×D₁₃	—	4	2	no	—
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₄⋊C₄×D₁₃	—	2	4	no	—
277	C₄⋊C₄×D₁₃	—	2	4	no	—
278	C₄⋊C₄×D₁₃	—	2	4	no	—
279	C₄⋊C₄×D₁₃	—	4	2	no	—
280	C₄⋊C₄×D₁₃	—	4	2	no	—
281	C₂²⋊C₄×D₁₃	—	2	4	no	—
282	C₂²⋊C₄×D₁₃	—	2	4	no	—
283	C₂²⋊C₄×D₁₃	—	2	4	no	—
284	C₂²⋊C₄×D₁₃	—	2	4	no	—
285	C₂²⋊C₄×D₁₃	—	2	4	no	—
286	C₂²⋊C₄×D₁₃	—	4	2	no	—
287	C₄²×D₁₃	—	2	4	no	—
288	C₄²×D₁₃	—	2	4	no	—
289	C₄²×D₁₃	—	2	4	no	—
290	C₄²×D₁₃	—	4	2	no	—
291	C₁₃×#95	C₂³	1	1	yes	characteristic
292	C₁₃×#95	C₂³	1	1	yes	characteristic
293	C₁₃×#95	C₂³	1	1	yes	characteristic
294	C₁₃×#95	C₂³	1	1	yes	characteristic
295	C₁₃×#95	C₂³	1	1	yes	characteristic
296	C₁₃×#95	C₂³	1	1	yes	characteristic
297	C₁₃×#95	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	C₂³	1	1	yes	characteristic
303	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	#88071	C₂³	1	1	yes	characteristic
310	#88071	C₂³	1	1	yes	characteristic
311	#88071	C₂³	1	1	yes	characteristic
312	#88071	C₂³	1	1	yes	characteristic
313	#88071	C₂³	1	1	yes	characteristic
314	#88071	C₂³	1	1	yes	characteristic
315	#88071	C₂³	1	1	yes	characteristic
316	#88071	C₂³	1	1	yes	characteristic
317	#88071	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	C₂×#2527	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	—	2	2	no	—
366	C₂³×D₁₃	—	2	2	no	—
367	C₂³×D₁₃	—	2	2	no	—
368	C₂³×D₁₃	—	2	2	no	—
369	C₂³×D₁₃	—	2	2	no	—
370	C₂³×D₁₃	—	2	2	no	—
371	C₂³×D₁₃	#41	1	4	yes	—
372	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	4	1	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	4	1	no	—
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	—	2	2	no	—
395	C₂²×Dic₁₃	—	2	2	no	—
396	C₂²×Dic₁₃	—	4	1	no	—
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	Q₈×D₁₃	—	4	16	no	—
412	C₂×C₄×D₁₃	—	2	2	no	—
413	C₂×C₄×D₁₃	—	2	2	no	—
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	2	2	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	no	—
419	C₂×C₄×D₁₃	—	2	2	no	—
420	C₂×C₄×D₁₃	—	2	2	no	—
421	C₂×C₄×D₁₃	—	2	2	no	—
422	C₂×C₄×D₁₃	—	2	2	no	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	2	2	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	4	16	no	—
455	C₂×C₄×D₁₃	—	4	1	no	—
456	C₂×C₄×D₁₃	—	4	1	no	—
457	C₂×C₄×D₁₃	#41	1	4	yes	—
458	C₂×C₄×D₁₃	#41	1	4	yes	—
459	C₂×C₄×D₁₃	#41	1	4	yes	—
460	C₂×C₄×D₁₃	#41	1	4	yes	—
461	C₂×Dic₂₆	—	2	2	no	—
462	C₂×Dic₂₆	—	2	2	no	—
463	C₂×Dic₂₆	—	2	2	no	—
464	C₂×Dic₂₆	—	2	2	no	—
465	C₂×Dic₂₆	—	2	2	no	—
466	C₂×Dic₂₆	—	2	2	no	—
467	C₂×Dic₂₆	—	4	1	no	—
468	C₂×Dic₂₆	—	4	1	no	—
469	C₂×Dic₂₆	—	4	1	no	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	2	2	no	—
472	C₁₃×C₄⋊C₄	—	2	2	no	—
473	C₁₃×C₄⋊C₄	—	4	1	no	—
474	C₁₃×C₄⋊C₄	—	4	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	4	1	no	—
481	C₄²×C₁₃	—	2	2	no	—
482	C₄²×C₁₃	—	2	2	no	—
483	C₄²×C₁₃	—	2	2	no	—
484	C₄²×C₁₃	—	4	1	no	—
485	C₂²⋊Dic₁₃	—	2	2	no	—
486	C₂²⋊Dic₁₃	—	2	2	no	—
487	C₂²⋊Dic₁₃	—	2	2	no	—
488	C₂²⋊Dic₁₃	—	2	2	no	—
489	C₂²⋊Dic₁₃	—	2	2	no	—
490	C₂²⋊Dic₁₃	—	4	1	no	—
491	#6103	—	2	2	no	—
492	#6103	—	2	2	no	—
493	#6103	—	2	2	no	—
494	#6103	—	2	2	no	—
495	#6103	—	2	2	no	—
496	#6103	—	2	2	no	—
497	#6103	—	2	2	no	—
498	#6103	—	2	2	no	—
499	#6103	—	2	2	no	—
500	#6103	—	2	2	no	—
501	#6103	—	4	1	no	—
502	#6103	—	4	1	no	—
503	C₄⋊Dic₁₃	—	2	2	no	—
504	C₄⋊Dic₁₃	—	2	2	no	—
505	C₄⋊Dic₁₃	—	2	2	no	—
506	C₄⋊Dic₁₃	—	4	1	no	—
507	C₄⋊Dic₁₃	—	4	1	no	—
508	#6101	—	2	2	no	—
509	#6101	—	2	2	no	—
510	#6101	—	2	2	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	4	1	no	—
515	#6101	—	4	1	no	—
516	#6101	—	4	1	no	—
517	#6101	—	4	1	no	—
518	C₄×Dic₁₃	—	2	2	no	—
519	C₄×Dic₁₃	—	2	2	no	—
520	C₄×Dic₁₃	—	2	2	no	—
521	C₄×Dic₁₃	—	2	2	no	—
522	C₄×Dic₁₃	—	2	2	no	—
523	C₄×Dic₁₃	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	4	1	no	—
528	C₄×Dic₁₃	—	4	1	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	#2527	—	13	1	no	—
531	#2527	—	13	1	no	—
532	#2527	—	13	1	no	—
533	#2527	—	13	1	no	—
534	#2527	—	13	1	no	—
535	#2527	—	13	1	no	—
536	#2527	—	13	1	no	—
537	#2527	—	13	1	no	—
538	#2527	—	13	1	no	—
539	#2527	—	13	1	no	—
540	#2527	—	13	1	no	—
541	#2527	—	13	1	no	—
542	#2527	—	13	1	no	—
543	#2527	—	13	1	no	—
544	#2527	—	13	1	no	—
545	#2527	D₁₃	1	1	yes	characteristic, direct product factor
546	C₂×#401	—	13	1	no	—
547	C₂×#400	—	13	1	no	—
548	C₂×#397	—	13	1	no	—
549	C₂×#393	—	13	1	no	—
550	C₂×#391	—	13	1	no	—
551	C₂×#391	—	13	1	no	—
552	C₂×#388	—	13	1	no	—
553	C₂×#388	—	13	1	no	—
554	C₂×#387	—	13	1	no	—
555	C₂×#387	—	13	1	no	—
556	C₂×#387	—	13	1	no	—
557	C₂×#385	—	13	1	no	—
558	C₂×#381	—	13	1	no	—
559	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
560	C₂×#376	—	13	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	C₂×#41	1	2	yes	—
568	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
569	C₂²×D₁₃	—	2	1	no	—
570	C₂²×D₁₃	—	2	1	no	—
571	C₂²×D₁₃	—	2	1	no	—
572	C₂²×D₁₃	—	2	1	no	—
573	C₂²×D₁₃	—	2	1	no	—
574	C₂²×D₁₃	—	2	1	no	—
575	C₂²×D₁₃	—	2	8	no	—
576	C₂²×D₁₃	—	2	8	no	—
577	C₂²×D₁₃	—	2	8	no	—
578	C₂²×D₁₃	—	4	4	no	—
579	C₂²×D₁₃	—	4	4	no	—
580	C₂²×D₁₃	—	4	4	no	—
581	C₂²×D₁₃	—	4	4	no	—
582	C₂²×D₁₃	C₂×#41	1	2	yes	—
583	C₂²×D₁₃	C₂×#41	1	2	yes	—
584	C₂²×D₁₃	C₂×#41	1	2	yes	—
585	C₂²×D₁₃	C₂×#41	1	2	yes	—
586	C₂²×D₁₃	C₂×#41	1	2	yes	—
587	C₂²×D₁₃	C₂×#41	1	2	yes	—
588	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
589	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
590	Q₈×C₁₃	—	4	4	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	4	4	no	—
630	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
631	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
632	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
633	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	1	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	4	4	no	—
673	C₂×Dic₁₃	C₂×#41	1	2	yes	—
674	C₂×Dic₁₃	C₂×#41	1	2	yes	—
675	C₂×Dic₁₃	C₂×#41	1	2	yes	—
676	C₂×Dic₁₃	C₂×#41	1	2	yes	—
677	C₄×D₁₃	—	2	8	no	—
678	C₄×D₁₃	—	2	8	no	—
679	C₄×D₁₃	—	2	8	no	—
680	C₄×D₁₃	—	2	8	no	—
681	C₄×D₁₃	—	4	4	no	—
682	C₄×D₁₃	—	4	4	no	—
683	C₄×D₁₃	—	4	4	no	—
684	C₄×D₁₃	—	4	4	no	—
685	C₄×D₁₃	—	4	4	no	—
686	C₄×D₁₃	—	4	4	no	—
687	C₄×D₁₃	—	4	4	no	—
688	C₄×D₁₃	—	4	4	no	—
689	C₄×D₁₃	—	4	4	no	—
690	C₄×D₁₃	—	4	4	no	—
691	C₄×D₁₃	—	4	4	no	—
692	C₄×D₁₃	—	4	4	no	—
693	Dic₂₆	—	4	4	no	—
694	Dic₂₆	—	4	4	no	—
695	Dic₂₆	—	4	4	no	—
696	C₂³×Q₈	—	13	1	no	—
697	C₂⁴×C₄	—	13	1	no	—
698	C₂²×C₄⋊C₄	—	13	1	no	—
699	C₂²×C₄⋊C₄	—	13	1	no	—
700	C₂²×C₄⋊C₄	—	13	1	no	—
701	C₂²×C₄⋊C₄	—	13	1	no	—
702	C₂²×C₄⋊C₄	—	13	1	no	—
703	C₂²×C₂²⋊C₄	—	13	1	no	—
704	C₂²×C₂²⋊C₄	—	13	1	no	—
705	C₂²×C₂²⋊C₄	—	13	1	no	—
706	C₂²×C₂²⋊C₄	—	13	1	no	—
707	C₂²×C₂²⋊C₄	—	13	1	no	—
708	C₂²×C₂²⋊C₄	—	13	1	no	—
709	C₂²×C₄²	—	13	1	no	—
710	C₂²×C₄²	—	13	1	no	—
711	C₂²×C₄²	—	13	1	no	—
712	C₂²×C₄²	—	13	1	no	—
713	#401	—	13	1	no	—
714	#401	—	13	1	no	—
715	#401	—	13	1	no	—
716	#401	—	13	1	no	—
717	#401	—	13	1	no	—
718	#401	—	13	1	no	—
719	#401	—	13	1	no	—
720	#401	C₂×D₁₃	1	1	yes	characteristic, complemented
721	#400	—	13	1	no	—
722	#400	—	13	1	no	—
723	#400	—	13	1	no	—
724	#400	—	13	1	no	—
725	#400	—	13	1	no	—
726	#400	—	13	1	no	—
727	#400	—	13	1	no	—
728	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
729	#397	—	13	1	no	—
730	#397	—	13	1	no	—
731	#397	—	13	1	no	—
732	#397	—	13	1	no	—
733	#397	—	13	1	no	—
734	#397	—	13	1	no	—
735	#397	—	13	1	no	—
736	#397	C₂×D₁₃	1	1	yes	characteristic
737	#393	—	13	1	no	—
738	#393	—	13	1	no	—
739	#393	—	13	1	no	—
740	#393	—	13	1	no	—
741	#393	—	13	1	no	—
742	#393	—	13	1	no	—
743	#393	—	13	1	no	—
744	#393	C₂×D₁₃	1	1	yes	characteristic
745	#391	—	13	1	no	—
746	#391	—	13	1	no	—
747	#391	—	13	1	no	—
748	#391	—	13	1	no	—
749	#391	—	13	1	no	—
750	#391	—	13	1	no	—
751	#391	—	13	1	no	—
752	#391	—	13	1	no	—
753	#391	—	13	1	no	—
754	#391	—	13	1	no	—
755	#391	—	13	1	no	—
756	#391	—	13	1	no	—
757	#391	—	13	1	no	—
758	#391	—	13	1	no	—
759	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
760	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	—	13	1	no	—
768	#388	—	13	1	no	—
769	#388	—	13	1	no	—
770	#388	—	13	1	no	—
771	#388	—	13	1	no	—
772	#388	—	13	1	no	—
773	#388	—	13	1	no	—
774	#388	—	13	1	no	—
775	#388	C₂×D₁₃	1	1	yes	characteristic
776	#388	C₂×D₁₃	1	1	yes	characteristic
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
784	#387	—	13	1	no	—
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
799	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
800	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
801	#385	—	13	1	no	—
802	#385	—	13	1	no	—
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
808	#385	C₂×D₁₃	1	1	yes	characteristic
809	#381	—	13	1	no	—
810	#381	—	13	1	no	—
811	#381	—	13	1	no	—
812	#381	—	13	1	no	—
813	#381	—	13	1	no	—
814	#381	—	13	1	no	—
815	#381	—	13	1	no	—
816	#381	C₂×D₁₃	1	1	yes	characteristic
817	C₄×C₂²⋊C₄	—	13	1	no	—
818	C₄×C₂²⋊C₄	—	13	1	no	—
819	C₄×C₂²⋊C₄	—	13	1	no	—
820	C₄×C₂²⋊C₄	—	13	1	no	—
821	C₄×C₂²⋊C₄	—	13	1	no	—
822	C₄×C₂²⋊C₄	—	13	1	no	—
823	C₄×C₂²⋊C₄	—	13	1	no	—
824	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
825	#376	—	13	1	no	—
826	#376	—	13	1	no	—
827	#376	—	13	1	no	—
828	#376	—	13	1	no	—
829	#376	—	13	1	no	—
830	#376	—	13	1	no	—
831	#376	—	13	1	no	—
832	#376	C₂×D₁₃	1	1	yes	characteristic, complemented
833	C₂×#95	—	13	1	no	—
834	C₂×#95	—	13	1	no	—
835	C₂×#95	—	13	1	no	—
836	C₂×#95	—	13	1	no	—
837	C₂×#95	—	13	1	no	—
838	C₂×#95	—	13	1	no	—
839	C₂×#95	—	13	1	no	—
840	C₂×#95	—	13	1	no	—
841	C₂×#95	—	13	1	no	—
842	C₂×#95	—	13	1	no	—
843	C₂×#95	—	13	1	no	—
844	C₂×#95	—	13	1	no	—
845	C₂×#95	—	13	1	no	—
846	C₂×#95	—	13	1	no	—
847	C₂×#95	—	13	1	no	—
848	C₂×#95	—	13	1	no	—
849	C₂×#95	—	13	1	no	—
850	C₂×#95	—	13	1	no	—
851	C₂²×C₁₃	—	2	2	no	—
852	C₂²×C₁₃	—	2	2	no	—
853	C₂²×C₁₃	—	2	2	no	—
854	C₂²×C₁₃	—	4	1	no	—
855	C₂²×C₁₃	—	4	1	no	—
856	C₂²×C₁₃	—	4	1	no	—
857	C₂²×C₁₃	—	4	1	no	—
858	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
859	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
860	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
861	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
862	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
863	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
864	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
865	C₂×D₁₃	—	2	2	no	—
866	C₂×D₁₃	—	2	2	no	—
867	C₂×D₁₃	—	2	2	no	—
868	C₂×D₁₃	—	4	1	no	—
869	C₂×D₁₃	—	4	1	no	—
870	C₂×D₁₃	—	4	1	no	—
871	C₂×D₁₃	—	4	1	no	—
872	C₂×D₁₃	—	4	16	no	—
873	C₂×D₁₃	#529	1	4	yes	—
874	C₂×D₁₃	#529	1	4	yes	—
875	C₂×D₁₃	#542	1	4	yes	—
876	C₂×D₁₃	#551	1	4	yes	—
877	C₂×D₁₃	#551	1	4	yes	—
878	C₂×D₁₃	#552	1	4	yes	—
879	C₂×D₁₃	#556	1	4	yes	—
880	C₄×C₁₃	—	2	2	no	—
881	C₄×C₁₃	—	2	2	no	—
882	C₄×C₁₃	—	2	2	no	—
883	C₄×C₁₃	—	2	2	no	—
884	C₄×C₁₃	—	4	1	no	—
885	C₄×C₁₃	—	4	1	no	—
886	C₄×C₁₃	—	4	1	no	—
887	C₄×C₁₃	—	4	1	no	—
888	C₄×C₁₃	—	4	1	no	—
889	C₄×C₁₃	—	4	1	no	—
890	C₄×C₁₃	—	4	1	no	—
891	C₄×C₁₃	—	4	1	no	—
892	C₄×C₁₃	—	4	1	no	—
893	C₄×C₁₃	—	4	1	no	—
894	Dic₁₃	—	2	2	no	—
895	Dic₁₃	—	2	2	no	—
896	Dic₁₃	—	2	2	no	—
897	Dic₁₃	—	2	2	no	—
898	Dic₁₃	—	4	1	no	—
899	Dic₁₃	—	4	1	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	Dic₁₃	—	4	1	no	—
903	Dic₁₃	—	4	1	no	—
904	Dic₁₃	—	4	1	no	—
905	Dic₁₃	—	4	1	no	—
906	Dic₁₃	—	4	1	no	—
907	Dic₁₃	—	4	1	no	—
908	C₂⁵	—	13	1	no	—
909	C₂²×Q₈	—	13	1	no	—
910	C₂²×Q₈	—	13	1	no	—
911	C₂²×Q₈	—	13	1	no	—
912	C₂²×Q₈	—	26	4	no	—
913	C₂²×Q₈	—	26	4	no	—
914	C₂²×Q₈	—	52	2	no	—
915	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
916	C₂³×C₄	—	13	1	no	—
917	C₂³×C₄	—	13	1	no	—
918	C₂³×C₄	—	13	1	no	—
919	C₂³×C₄	—	13	1	no	—
920	C₂³×C₄	—	13	1	no	—
921	C₂³×C₄	—	13	1	no	—
922	C₂³×C₄	—	13	1	no	—
923	C₂³×C₄	—	13	1	no	—
924	C₂³×C₄	—	13	1	no	—
925	C₂³×C₄	—	13	1	no	—
926	C₂³×C₄	—	13	1	no	—
927	C₂³×C₄	—	13	1	no	—
928	C₂³×C₄	—	13	1	no	—
929	C₂³×C₄	—	13	1	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	26	4	no	—
934	C₂³×C₄	—	26	4	no	—
935	C₂³×C₄	—	52	2	no	—
936	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	1	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	26	4	no	—
953	C₂×C₄⋊C₄	—	26	4	no	—
954	C₂×C₄⋊C₄	—	26	4	no	—
955	C₂×C₄⋊C₄	—	52	2	no	—
956	C₂×C₄⋊C₄	—	52	2	no	—
957	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	—	13	1	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	1	no	—
966	C₂×C₂²⋊C₄	—	13	1	no	—
967	C₂×C₂²⋊C₄	—	13	1	no	—
968	C₂×C₂²⋊C₄	—	13	1	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	1	no	—
971	C₂×C₂²⋊C₄	—	13	1	no	—
972	C₂×C₂²⋊C₄	—	13	1	no	—
973	C₂×C₂²⋊C₄	—	13	1	no	—
974	C₂×C₂²⋊C₄	—	13	1	no	—
975	C₂×C₂²⋊C₄	—	13	1	no	—
976	C₂×C₂²⋊C₄	—	13	1	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	26	4	no	—
981	C₂×C₂²⋊C₄	—	26	4	no	—
982	C₂×C₂²⋊C₄	—	26	4	no	—
983	C₂×C₂²⋊C₄	—	26	4	no	—
984	C₂×C₂²⋊C₄	—	26	4	no	—
985	C₂×C₂²⋊C₄	—	52	2	no	—
986	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	1	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	1	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	26	4	no	—
1005	C₂×C₄²	—	26	4	no	—
1006	C₂×C₄²	—	26	4	no	—
1007	C₂×C₄²	—	52	2	no	—
1008	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1009	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1010	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1012	#95	—	13	1	no	—
1013	#95	—	13	1	no	—
1014	#95	—	13	1	no	—
1015	#95	—	13	1	no	—
1016	#95	—	13	1	no	—
1017	#95	—	13	1	no	—
1018	#95	—	13	1	no	—
1019	#95	—	13	1	no	—
1020	#95	—	13	1	no	—
1021	#95	—	13	1	no	—
1022	#95	—	13	1	no	—
1023	#95	—	13	1	no	—
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	C₂²×D₁₃	1	1	yes	characteristic
1067	#95	C₂²×D₁₃	1	1	yes	characteristic
1068	#95	C₂²×D₁₃	1	1	yes	characteristic
1069	#95	C₂²×D₁₃	1	1	yes	characteristic
1070	#95	C₂²×D₁₃	1	1	yes	characteristic
1071	#95	C₂²×D₁₃	1	1	yes	characteristic
1072	#95	C₂²×D₁₃	1	1	yes	characteristic
1073	#95	C₂²×D₁₃	1	1	yes	characteristic
1074	#95	C₂²×D₁₃	1	1	yes	characteristic
1075	#95	C₂²×D₁₃	1	1	yes	characteristic
1076	#95	C₂²×D₁₃	1	1	yes	characteristic
1077	#95	C₂²×D₁₃	1	1	yes	characteristic
1078	#95	C₂²×D₁₃	1	1	yes	characteristic
1079	#95	C₂²×D₁₃	1	1	yes	characteristic
1080	#95	C₂²×D₁₃	1	1	yes	characteristic
1081	#95	C₂²×D₁₃	1	1	yes	characteristic
1082	#95	C₂²×D₁₃	1	1	yes	characteristic
1083	#95	C₂²×D₁₃	1	1	yes	characteristic
1084	C₂×C₁₃	—	4	2	no	—
1085	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1086	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1087	C₂×C₁₃	C₂×#542	1	1	yes	characteristic
1088	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1089	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1090	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1091	C₂×C₁₃	C₂×#556	1	1	yes	characteristic
1092	D₁₃	—	4	2	no	—
1093	D₁₃	#2527	1	8	yes	direct product factor
1094	C₂⁴	—	13	1	no	—
1095	C₂⁴	—	13	4	no	—
1096	C₂⁴	—	13	1	no	—
1097	C₂⁴	—	26	2	no	—
1098	C₂⁴	—	26	2	no	—
1099	C₂⁴	—	26	2	no	—
1100	C₂⁴	—	26	2	no	—
1101	C₂⁴	—	26	2	no	—
1102	C₂⁴	—	26	2	no	—
1103	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1104	C₂×Q₈	—	2	2	no	—
1105	C₂×Q₈	—	2	2	no	—
1106	C₂×Q₈	—	4	1	no	—
1107	C₂×Q₈	—	26	2	no	—
1108	C₂×Q₈	—	26	2	no	—
1109	C₂×Q₈	—	26	2	no	—
1110	C₂×Q₈	—	26	2	no	—
1111	C₂×Q₈	—	26	2	no	—
1112	C₂×Q₈	—	26	2	no	—
1113	C₂×Q₈	—	52	1	no	—
1114	C₂×Q₈	—	52	1	no	—
1115	C₂×Q₈	—	52	1	no	—
1116	C₂×Q₈	—	52	16	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	4	no	—
1125	C₂²×C₄	—	13	4	no	—
1126	C₂²×C₄	—	13	4	no	—
1127	C₂²×C₄	—	13	4	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	13	1	no	—
1130	C₂²×C₄	—	13	1	no	—
1131	C₂²×C₄	—	13	1	no	—
1132	C₂²×C₄	—	13	1	no	—
1133	C₂²×C₄	—	13	1	no	—
1134	C₂²×C₄	—	13	1	no	—
1135	C₂²×C₄	—	13	1	no	—
1136	C₂²×C₄	—	13	1	no	—
1137	C₂²×C₄	—	13	1	no	—
1138	C₂²×C₄	—	26	2	no	—
1139	C₂²×C₄	—	26	2	no	—
1140	C₂²×C₄	—	26	2	no	—
1141	C₂²×C₄	—	26	2	no	—
1142	C₂²×C₄	—	26	2	no	—
1143	C₂²×C₄	—	26	2	no	—
1144	C₂²×C₄	—	26	2	no	—
1145	C₂²×C₄	—	26	2	no	—
1146	C₂²×C₄	—	26	2	no	—
1147	C₂²×C₄	—	26	2	no	—
1148	C₂²×C₄	—	26	2	no	—
1149	C₂²×C₄	—	26	2	no	—
1150	C₂²×C₄	—	26	2	no	—
1151	C₂²×C₄	—	26	2	no	—
1152	C₂²×C₄	—	26	2	no	—
1153	C₂²×C₄	—	26	2	no	—
1154	C₂²×C₄	—	26	2	no	—
1155	C₂²×C₄	—	26	2	no	—
1156	C₂²×C₄	—	26	2	no	—
1157	C₂²×C₄	—	26	2	no	—
1158	C₂²×C₄	—	26	2	no	—
1159	C₂²×C₄	—	26	2	no	—
1160	C₂²×C₄	—	26	2	no	—
1161	C₂²×C₄	—	26	2	no	—
1162	C₂²×C₄	—	26	2	no	—
1163	C₂²×C₄	—	26	2	no	—
1164	C₂²×C₄	—	26	2	no	—
1165	C₂²×C₄	—	26	2	no	—
1166	C₂²×C₄	—	26	2	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	—	26	2	no	—
1179	C₂²×C₄	—	26	2	no	—
1180	C₂²×C₄	—	26	2	no	—
1181	C₂²×C₄	—	26	2	no	—
1182	C₂²×C₄	—	52	1	no	—
1183	C₂²×C₄	—	52	1	no	—
1184	C₂²×C₄	—	52	16	no	—
1185	C₂²×C₄	—	52	1	no	—
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	26	2	no	—
1206	C₄⋊C₄	—	26	2	no	—
1207	C₄⋊C₄	—	26	2	no	—
1208	C₄⋊C₄	—	26	2	no	—
1209	C₄⋊C₄	—	26	2	no	—
1210	C₄⋊C₄	—	26	2	no	—
1211	C₄⋊C₄	—	26	2	no	—
1212	C₄⋊C₄	—	26	2	no	—
1213	C₄⋊C₄	—	26	2	no	—
1214	C₄⋊C₄	—	52	1	no	—
1215	C₄⋊C₄	—	52	1	no	—
1216	C₄⋊C₄	—	52	1	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₄⋊C₄	—	52	1	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	26	2	no	—
1227	C₂²⋊C₄	—	26	2	no	—
1228	C₂²⋊C₄	—	26	2	no	—
1229	C₂²⋊C₄	—	26	2	no	—
1230	C₂²⋊C₄	—	26	2	no	—
1231	C₂²⋊C₄	—	26	2	no	—
1232	C₂²⋊C₄	—	26	2	no	—
1233	C₂²⋊C₄	—	26	2	no	—
1234	C₂²⋊C₄	—	26	2	no	—
1235	C₂²⋊C₄	—	26	2	no	—
1236	C₂²⋊C₄	—	26	2	no	—
1237	C₂²⋊C₄	—	26	2	no	—
1238	C₂²⋊C₄	—	26	2	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	52	1	no	—
1242	C₂²⋊C₄	—	52	1	no	—
1243	C₂²⋊C₄	—	52	1	no	—
1244	C₄²	—	2	2	no	—
1245	C₄²	—	2	2	no	—
1246	C₄²	—	2	2	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	26	2	no	—
1249	C₄²	—	26	2	no	—
1250	C₄²	—	26	2	no	—
1251	C₄²	—	26	2	no	—
1252	C₄²	—	26	2	no	—
1253	C₄²	—	26	2	no	—
1254	C₄²	—	26	2	no	—
1255	C₄²	—	26	2	no	—
1256	C₄²	—	26	2	no	—
1257	C₄²	—	52	1	no	—
1258	C₄²	—	52	1	no	—
1259	C₄²	—	52	1	no	—
1260	C₁₃	C₂×#2527	1	1	yes	characteristic, complemented, Sylow
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	13	2	no	—
1268	C₂³	—	13	2	no	—
1269	C₂³	—	13	2	no	—
1270	C₂³	—	13	2	no	—
1271	C₂³	—	13	2	no	—
1272	C₂³	—	13	2	no	—
1273	C₂³	—	13	2	no	—
1274	C₂³	—	13	2	no	—
1275	C₂³	—	26	8	no	—
1276	C₂³	—	26	8	no	—
1277	C₂³	—	26	8	no	—
1278	C₂³	—	26	1	no	—
1279	C₂³	—	26	1	no	—
1280	C₂³	—	26	1	no	—
1281	C₂³	—	26	1	no	—
1282	C₂³	—	26	1	no	—
1283	C₂³	—	26	1	no	—
1284	C₂³	—	52	4	no	—
1285	C₂³	—	52	4	no	—
1286	C₂³	—	52	4	no	—
1287	C₂³	—	52	4	no	—
1288	C₂³	#41×D₁₃	1	2	yes	—
1289	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1290	Q₈	—	4	4	no	—
1291	Q₈	—	52	4	no	—
1292	Q₈	—	52	4	no	—
1293	Q₈	—	52	4	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	13	2	no	—
1334	C₂×C₄	—	13	2	no	—
1335	C₂×C₄	—	13	2	no	—
1336	C₂×C₄	—	13	2	no	—
1337	C₂×C₄	—	26	8	no	—
1338	C₂×C₄	—	26	8	no	—
1339	C₂×C₄	—	26	8	no	—
1340	C₂×C₄	—	26	8	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	26	1	no	—
1356	C₂×C₄	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	52	4	no	—
1380	C₂×C₄	—	52	4	no	—
1381	C₂×C₄	—	52	4	no	—
1382	C₂×C₄	—	52	4	no	—
1383	C₂×C₄	—	52	4	no	—
1384	C₂×C₄	—	52	4	no	—
1385	C₂×C₄	—	52	4	no	—
1386	C₂×C₄	—	52	4	no	—
1387	C₂×C₄	—	52	4	no	—
1388	C₂×C₄	—	52	4	no	—
1389	C₂×C₄	—	52	4	no	—
1390	C₂×C₄	—	52	4	no	—
1391	C₂×C₄	—	52	4	no	—
1392	C₂×C₄	#41×D₁₃	1	2	yes	—
1393	C₂×C₄	#41×D₁₃	1	2	yes	—
1394	C₂×C₄	#41×D₁₃	1	2	yes	—
1395	C₂×C₄	#41×D₁₃	1	2	yes	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	13	4	no	—
1404	C₂²	—	13	4	no	—
1405	C₂²	—	13	4	no	—
1406	C₂²	—	13	4	no	—
1407	C₂²	—	13	4	no	—
1408	C₂²	—	13	4	no	—
1409	C₂²	—	13	4	no	—
1410	C₂²	—	26	2	no	—
1411	C₂²	—	26	2	no	—
1412	C₂²	—	26	2	no	—
1413	C₂²	—	52	16	no	—
1414	C₂²	—	52	1	no	—
1415	C₂²	—	52	1	no	—
1416	C₂²	—	52	1	no	—
1417	C₂²	—	52	1	no	—
1418	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1419	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1420	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1421	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1422	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1423	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1424	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	2	2	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	26	2	no	—
1440	C₄	—	26	2	no	—
1441	C₄	—	26	2	no	—
1442	C₄	—	26	2	no	—
1443	C₄	—	52	1	no	—
1444	C₄	—	52	1	no	—
1445	C₄	—	52	1	no	—
1446	C₄	—	52	1	no	—
1447	C₄	—	52	1	no	—
1448	C₄	—	52	1	no	—
1449	C₄	—	52	1	no	—
1450	C₄	—	52	1	no	—
1451	C₄	—	52	1	no	—
1452	C₄	—	52	1	no	—
1453	C₂	—	4	2	no	—
1454	C₂	—	13	8	no	—
1455	C₂	—	52	2	no	—
1456	C₂	D₁₃×#529	1	1	yes	characteristic
1457	C₂	D₁₃×#529	1	1	yes	characteristic
1458	C₂	D₁₃×#542	1	1	yes	characteristic
1459	C₂	D₁₃×#551	1	1	yes	characteristic
1460	C₂	D₁₃×#551	1	1	yes	characteristic
1461	C₂	D₁₃×#552	1	1	yes	characteristic
1462	C₂	D₁₃×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2527	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2527	D₁₃
hypocenter	C₁₃	C₂×#2527
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2527

Complements

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

N	H ≅ G/N	type
1. #13119630	C₂	semidirect
2. #13119629	C₂	semidirect
3. #13119628	C₂	semidirect
4. #13119627	C₂	semidirect
5. #13119626	C₂	semidirect
6. #13119625	C₂	semidirect
7. #13119624	C₂	semidirect
8. #13119623	C₂	semidirect
9. #13119622	C₂	semidirect
10. #13119621	C₂	semidirect
11. #13119620	C₂	semidirect
12. #13119619	C₂	semidirect
13. #13119618	C₂	semidirect
14. #13119617	C₂	semidirect
15. #13119616	C₂	semidirect
16. D₁₃×#401	C₂	semidirect
17. D₁₃×#400	C₂	semidirect
20. D₁₃×#391	C₂	semidirect
21. D₁₃×#391	C₂	semidirect
24. D₁₃×#387	C₂	semidirect
25. D₁₃×#387	C₂	semidirect
26. D₁₃×#387	C₂	semidirect
30. D₁₃×#376	C₂	semidirect
31. C₁₃×#2527	C₂	semidirect
49. C₁₃×#401	C₂²	semidirect
50. C₁₃×#400	C₂²	semidirect
53. C₁₃×#391	C₂²	semidirect
54. C₁₃×#391	C₂²	semidirect
57. C₁₃×#387	C₂²	semidirect
58. C₁₃×#387	C₂²	semidirect
59. C₁₃×#387	C₂²	semidirect
63. C₁₃×#376	C₂²	semidirect
65. #11718891	C₂²	semidirect
66. #11718891	C₂²	semidirect
75. #11718647	C₂²	semidirect
76. #11718643	C₂²	semidirect
77. #11718642	C₂²	semidirect
78. #11718642	C₂²	semidirect
79. #11718642	C₂²	semidirect
80. #11718639	C₂²	semidirect
81. #11718639	C₂²	semidirect
82. #11718639	C₂²	semidirect
83. #11718635	C₂²	semidirect
84. #11718635	C₂²	semidirect
107. #11718594	C₂²	semidirect
108. #11718594	C₂²	semidirect
109. #11718594	C₂²	semidirect
110. #11718593	C₂²	semidirect
111. #11718593	C₂²	semidirect
112. #11718593	C₂²	semidirect
113. #11718590	C₂²	semidirect
114. #11718590	C₂²	semidirect
151. C₁₃⋊#401	C₂²	semidirect
152. C₁₃⋊#401	C₂²	semidirect
153. C₁₃⋊#401	C₂²	semidirect
154. C₁₃⋊#401	C₂²	semidirect
155. C₁₃⋊#401	C₂²	semidirect
156. C₁₃⋊#401	C₂²	semidirect
157. C₁₃⋊#401	C₂²	semidirect
158. #11718321	C₂²	semidirect
159. #11718321	C₂²	semidirect
160. #11718320	C₂²	semidirect
161. #11718319	C₂²	semidirect
162. #11718319	C₂²	semidirect
163. #11718316	C₂²	semidirect
164. #11718316	C₂²	semidirect
165. #11718316	C₂²	semidirect
166. #11718315	C₂²	semidirect
167. #11718315	C₂²	semidirect
168. #11718315	C₂²	semidirect
169. #11718314	C₂²	semidirect
170. #11718314	C₂²	semidirect
171. #11718314	C₂²	semidirect
172. #11718313	C₂²	semidirect
173. #11718313	C₂²	semidirect
174. #11718313	C₂²	semidirect
175. #11718309	C₂²	semidirect
176. #11718309	C₂²	semidirect
177. #11718309	C₂²	semidirect
178. #11718309	C₂²	semidirect
179. #11718307	C₂²	semidirect
180. #11718307	C₂²	semidirect
181. #11718307	C₂²	semidirect
182. #11718307	C₂²	semidirect
183. #11718307	C₂²	semidirect
184. #11718307	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
545. #2527	D₁₃	direct (N × H)
720. #401	C₂×D₁₃	semidirect
728. #400	C₂×D₁₃	semidirect
759. #391	C₂×D₁₃	semidirect
760. #391	C₂×D₁₃	semidirect
798. #387	C₂×D₁₃	semidirect
799. #387	C₂×D₁₃	semidirect
800. #387	C₂×D₁₃	semidirect
832. #376	C₂×D₁₃	semidirect
1093. D₁₃	#2527	direct (N × H)
1260. C₁₃	C₂×#2527	semidirect

Maximal subgroups

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

subgroup	index
#13119630	2
#13119629	2
#13119628	2
#13119627	2
#13119626	2
#13119625	2
#13119624	2
#13119623	2
#13119622	2
#13119621	2
#13119620	2
#13119619	2
#13119618	2
#13119617	2
#13119616	2
D₁₃×#401	2
D₁₃×#400	2
D₁₃×#397	2
D₁₃×#393	2
D₁₃×#391	2
D₁₃×#388	2
D₁₃×#387	2
D₁₃×#385	2
D₁₃×#381	2
C₄×C₂²⋊C₄×D₁₃	2
D₁₃×#376	2
C₁₃×#2527	2
C₂×#2527	13

Subgroups — D13×#2527 #16032641

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2527 #16032641