Subgroups — #16069210

Order 3328.

1550 conjugacy classes of subgroups.

The subgroup lattice has 1362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123078	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123074	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123063	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123059	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123048	C₂	1	1	yes	maximal, characteristic, complemented
6	#13123044	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123033	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123029	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123024	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123019	C₂	1	1	yes	maximal, characteristic, complemented
11	#13122942	C₂	1	1	yes	maximal, characteristic, complemented
12	#13122940	C₂	1	1	yes	maximal, characteristic, complemented
13	#13122940	C₂	1	1	yes	maximal, characteristic, complemented
14	#13122938	C₂	1	1	yes	maximal, characteristic, complemented
15	#13122931	C₂	1	1	yes	maximal, characteristic
16	#13122913	C₂	1	1	yes	maximal, characteristic
17	#13118143	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118141	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118136	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118134	C₂	1	1	yes	maximal, characteristic, complemented
21	#13118112	C₂	1	1	yes	maximal, characteristic, complemented
22	#13118110	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118104	C₂	1	1	yes	maximal, characteristic, complemented
24	#13118097	C₂	1	1	yes	maximal, characteristic, complemented
25	#13118096	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118095	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118093	C₂	1	1	yes	maximal, characteristic, complemented
28	#13118078	C₂	1	1	yes	maximal, characteristic
29	#13117319	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117279	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
34	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
37	C₂×#88180	C₂²	1	1	yes	characteristic
38	C₂×#88180	C₂²	1	1	yes	characteristic
39	C₂×#88126	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
41	C₁₃×#388	C₂²	1	1	yes	characteristic
42	C₁₃×#388	C₂²	1	1	yes	characteristic
43	C₁₃×#387	C₂²	1	1	yes	characteristic
44	C₁₃×#387	C₂²	1	1	yes	characteristic
45	C₁₃×#386	C₂²	1	1	yes	characteristic
46	C₁₃×#386	C₂²	1	1	yes	characteristic
47	C₁₃×#385	C₂²	1	1	yes	characteristic
48	C₁₃×#385	C₂²	1	1	yes	characteristic
49	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	C₁₃×#376	C₂²	1	1	yes	characteristic
53	#11718884	C₂²	1	1	yes	characteristic
54	#11718883	C₂²	1	1	yes	characteristic
55	#11718883	C₂²	1	1	yes	characteristic
56	#11718883	C₂²	1	1	yes	characteristic
57	#11718874	C₂²	1	1	yes	characteristic
58	#11718874	C₂²	1	1	yes	characteristic
59	#11718871	C₂²	1	1	yes	characteristic
60	#11718871	C₂²	1	1	yes	characteristic
61	#11718871	C₂²	1	1	yes	characteristic
62	#11718871	C₂²	1	1	yes	characteristic
63	#11718871	C₂²	1	1	yes	characteristic
64	#11718871	C₂²	1	1	yes	characteristic
65	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
69	#11718655	C₂²	1	1	yes	characteristic
70	#11718655	C₂²	1	1	yes	characteristic
71	#11718654	C₂²	1	1	yes	characteristic
72	#11718653	C₂²	1	1	yes	characteristic
73	#11718653	C₂²	1	1	yes	characteristic
74	#11718647	C₂²	1	1	yes	characteristic
75	#11718647	C₂²	1	1	yes	characteristic
76	#11718645	C₂²	1	1	yes	characteristic
77	#11718645	C₂²	1	1	yes	characteristic
78	#11718645	C₂²	1	1	yes	characteristic
79	#11718645	C₂²	1	1	yes	characteristic
80	#11718644	C₂²	1	1	yes	characteristic
81	#11718644	C₂²	1	1	yes	characteristic
82	#11718643	C₂²	1	1	yes	characteristic
83	#11718643	C₂²	1	1	yes	characteristic
84	#11718641	C₂²	1	1	yes	characteristic
85	#11718641	C₂²	1	1	yes	characteristic
86	#11718641	C₂²	1	1	yes	characteristic
87	#11718640	C₂²	1	1	yes	characteristic
88	#11718640	C₂²	1	1	yes	characteristic
89	#11718622	C₂²	1	1	yes	characteristic
90	#11718622	C₂²	1	1	yes	characteristic
91	#11718622	C₂²	1	1	yes	characteristic
92	#11718622	C₂²	1	1	yes	characteristic
93	#11718620	C₂²	1	1	yes	characteristic
94	#11718620	C₂²	1	1	yes	characteristic
95	#11718620	C₂²	1	1	yes	characteristic
96	#11718620	C₂²	1	1	yes	characteristic
97	#11718614	C₂²	1	1	yes	characteristic
98	#11718614	C₂²	1	1	yes	characteristic
99	#11718614	C₂²	1	1	yes	characteristic
100	#11718614	C₂²	1	1	yes	characteristic
101	#11718613	C₂²	1	1	yes	characteristic
102	#11718613	C₂²	1	1	yes	characteristic
103	#11718613	C₂²	1	1	yes	characteristic
104	#11718613	C₂²	1	1	yes	characteristic
105	#11718613	C₂²	1	1	yes	characteristic
106	#11718613	C₂²	1	1	yes	characteristic
107	#11718613	C₂²	1	1	yes	characteristic
108	#11718613	C₂²	1	1	yes	characteristic
109	#11718610	C₂²	1	1	yes	characteristic
110	#11718610	C₂²	1	1	yes	characteristic
111	#11718610	C₂²	1	1	yes	characteristic
112	#11718610	C₂²	1	1	yes	characteristic
113	#11718609	C₂²	1	1	yes	characteristic
114	#11718609	C₂²	1	1	yes	characteristic
115	#11718609	C₂²	1	1	yes	characteristic
116	#11718609	C₂²	1	1	yes	characteristic
117	#11718609	C₂²	1	1	yes	characteristic
118	#11718609	C₂²	1	1	yes	characteristic
119	#11718608	C₂²	1	1	yes	characteristic
120	#11718608	C₂²	1	1	yes	characteristic
121	#11718601	C₂²	1	1	yes	characteristic
122	#11718601	C₂²	1	1	yes	characteristic
123	C₄×#6103	C₂²	1	1	yes	characteristic
124	C₄×#6103	C₂²	1	1	yes	characteristic
125	C₄×#6103	C₂²	1	1	yes	characteristic
126	C₄×#6103	C₂²	1	1	yes	characteristic
127	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
128	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
129	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
130	#11718594	C₂²	1	1	yes	characteristic
131	#11718594	C₂²	1	1	yes	characteristic
132	#11718593	C₂²	1	1	yes	characteristic
133	C₄×#6101	C₂²	1	1	yes	characteristic
134	C₄×#6101	C₂²	1	1	yes	characteristic
135	C₄×#6101	C₂²	1	1	yes	characteristic
136	C₄×#6101	C₂²	1	1	yes	characteristic
137	C₄×#6101	C₂²	1	1	yes	characteristic
138	C₄×#6101	C₂²	1	1	yes	characteristic
139	C₄×#6101	C₂²	1	1	yes	characteristic
140	C₄×#6101	C₂²	1	1	yes	characteristic
141	C₄×#6101	C₂²	1	1	yes	characteristic
142	C₄×#6101	C₂²	1	1	yes	characteristic
143	#11718589	C₂²	1	1	yes	characteristic
144	#11718589	C₂²	1	1	yes	characteristic
145	#11718589	C₂²	1	1	yes	characteristic
146	#11718589	C₂²	1	1	yes	characteristic
147	#11718338	C₂²	1	1	yes	characteristic
148	#11718337	C₂²	1	1	yes	characteristic
149	#11718337	C₂²	1	1	yes	characteristic
150	#11718336	C₂²	1	1	yes	characteristic
151	#11718336	C₂²	1	1	yes	characteristic
152	#11718336	C₂²	1	1	yes	characteristic
153	#11718336	C₂²	1	1	yes	characteristic
154	#11718335	C₂²	1	1	yes	characteristic
155	#11718335	C₂²	1	1	yes	characteristic
156	#11718334	C₂²	1	1	yes	characteristic
157	C₁₃⋊#401	C₂²	1	1	yes	characteristic
158	C₁₃⋊#401	C₂²	1	1	yes	characteristic
159	#11718322	C₂²	1	1	yes	characteristic
160	#11718322	C₂²	1	1	yes	characteristic
161	#11718321	C₂²	1	1	yes	characteristic
162	#11718321	C₂²	1	1	yes	characteristic
163	#11718321	C₂²	1	1	yes	characteristic
164	#11718321	C₂²	1	1	yes	characteristic
165	#11718321	C₂²	1	1	yes	characteristic
166	#11718321	C₂²	1	1	yes	characteristic
167	#11718320	C₂²	1	1	yes	characteristic
168	#11718320	C₂²	1	1	yes	characteristic
169	#11718320	C₂²	1	1	yes	characteristic
170	#11718319	C₂²	1	1	yes	characteristic
171	#11718319	C₂²	1	1	yes	characteristic
172	#11718319	C₂²	1	1	yes	characteristic
173	#11718319	C₂²	1	1	yes	characteristic
174	#11718319	C₂²	1	1	yes	characteristic
175	#11718319	C₂²	1	1	yes	characteristic
176	#11718319	C₂²	1	1	yes	characteristic
177	#11718319	C₂²	1	1	yes	characteristic
178	#11718318	C₂²	1	1	yes	characteristic
179	#11718318	C₂²	1	1	yes	characteristic
180	#11718318	C₂²	1	1	yes	characteristic
181	#11718318	C₂²	1	1	yes	characteristic
182	#11718318	C₂²	1	1	yes	characteristic
183	#11718318	C₂²	1	1	yes	characteristic
184	#11718318	C₂²	1	1	yes	characteristic
185	#11718318	C₂²	1	1	yes	characteristic
186	#11718317	C₂²	1	1	yes	characteristic
187	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
196	C₄×D₄×C₁₃	—	2	4	no	—
197	C₁₃×#117	—	4	2	no	—
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	—	4	2	no	—
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₄×C₂²⋊D₁₃	—	2	4	no	—
234	C₄×C₂²⋊D₁₃	—	4	2	no	—
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	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	#88180	—	2	4	no	—
248	#88180	—	4	2	no	—
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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	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×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	#88126	—	4	2	no	—
294	C₄×Dic₂₆	—	4	2	no	—
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	#88071	C₂³	1	1	yes	characteristic
306	#88071	C₂³	1	1	yes	characteristic
307	#88071	C₂³	1	1	yes	characteristic
308	#88071	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	#36662	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	4	1	no	—
357	C₂×D₄×C₁₃	—	4	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	4	1	no	—
364	C₂²×C₄×C₁₃	—	4	1	no	—
365	C₂²×C₄×C₁₃	—	4	1	no	—
366	C₂²×C₄×C₁₃	—	4	1	no	—
367	C₂²×C₄×C₁₃	—	4	1	no	—
368	C₂²×C₄×C₁₃	—	4	1	no	—
369	C₂²×C₄×C₁₃	#41	1	4	yes	—
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₃	—	2	2	no	—
384	C₂×C₂²⋊D₁₃	—	4	1	no	—
385	C₂×C₂²⋊D₁₃	—	4	1	no	—
386	C₂×C₂²⋊D₁₃	—	4	1	no	—
387	C₂×C₂²⋊D₁₃	—	4	1	no	—
388	C₂×C₂²⋊D₁₃	—	4	1	no	—
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₁₃	—	2	2	no	—
405	C₂×C₄×D₁₃	—	2	2	no	—
406	C₂×C₄×D₁₃	—	2	2	no	—
407	C₂×Dic₂₆	—	4	1	no	—
408	C₂×Dic₂₆	—	4	1	no	—
409	C₂×Dic₂₆	—	4	1	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	4	1	no	—
412	C₁₃×C₄⋊C₄	—	4	1	no	—
413	C₁₃×C₄⋊C₄	—	4	1	no	—
414	C₁₃×C₄⋊C₄	—	4	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	4	1	no	—
418	C₁₃×C₂²⋊C₄	—	4	1	no	—
419	C₁₃×C₂²⋊C₄	—	4	1	no	—
420	C₁₃×C₂²⋊C₄	—	4	1	no	—
421	C₁₃×C₂²⋊C₄	—	4	1	no	—
422	C₁₃×C₂²⋊C₄	—	4	1	no	—
423	C₄²×C₁₃	—	2	2	no	—
424	C₄²×C₁₃	—	2	2	no	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	2	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	4	1	no	—
429	C₄²×C₁₃	—	4	1	no	—
430	C₂²⋊Dic₁₃	—	2	2	no	—
431	C₂²⋊Dic₁₃	—	2	2	no	—
432	C₂²⋊Dic₁₃	—	2	2	no	—
433	C₂²⋊Dic₁₃	—	4	1	no	—
434	C₂²⋊Dic₁₃	—	4	1	no	—
435	C₂²⋊Dic₁₃	—	4	1	no	—
436	C₂²⋊Dic₁₃	—	4	1	no	—
437	C₂²⋊Dic₁₃	—	4	1	no	—
438	C₂²⋊Dic₁₃	—	4	1	no	—
439	C₂²⋊Dic₁₃	—	4	1	no	—
440	C₂²⋊Dic₁₃	—	4	1	no	—
441	C₂²⋊Dic₁₃	—	4	1	no	—
442	C₂²⋊Dic₁₃	—	4	1	no	—
443	C₂²⋊Dic₁₃	—	4	1	no	—
444	#6103	—	2	2	no	—
445	#6103	—	4	1	no	—
446	#6103	—	4	1	no	—
447	#6103	—	4	1	no	—
448	#6103	—	4	1	no	—
449	#6103	—	4	1	no	—
450	#6103	—	4	1	no	—
451	#6103	—	4	1	no	—
452	#6103	—	4	1	no	—
453	#6103	—	4	1	no	—
454	#6103	—	4	1	no	—
455	#6103	—	4	1	no	—
456	C₄⋊Dic₁₃	—	2	2	no	—
457	C₄⋊Dic₁₃	—	2	2	no	—
458	C₄⋊Dic₁₃	—	4	1	no	—
459	C₄⋊Dic₁₃	—	4	1	no	—
460	C₄⋊Dic₁₃	—	4	1	no	—
461	C₄⋊Dic₁₃	—	4	1	no	—
462	C₄⋊Dic₁₃	—	4	1	no	—
463	C₄⋊Dic₁₃	—	4	1	no	—
464	C₄⋊Dic₁₃	—	4	1	no	—
465	C₄⋊Dic₁₃	—	4	1	no	—
466	C₄⋊Dic₁₃	—	4	1	no	—
467	#6101	—	2	2	no	—
468	#6101	—	4	1	no	—
469	#6101	—	4	1	no	—
470	#6101	—	4	1	no	—
471	#6101	—	4	1	no	—
472	#6101	—	4	1	no	—
473	#6101	—	4	1	no	—
474	#6101	—	4	1	no	—
475	#6101	—	4	1	no	—
476	#6101	—	4	1	no	—
477	#6101	—	4	1	no	—
478	#6101	—	4	1	no	—
479	#6101	—	4	1	no	—
480	#6101	—	4	1	no	—
481	#6101	—	4	1	no	—
482	#6101	—	4	1	no	—
483	#6101	—	4	1	no	—
484	#6101	—	4	1	no	—
485	#6101	—	4	1	no	—
486	#6101	—	4	1	no	—
487	#6101	—	4	1	no	—
488	#6101	—	4	1	no	—
489	#6101	—	4	1	no	—
490	#6101	—	4	1	no	—
491	#6101	—	4	1	no	—
492	#6101	—	4	1	no	—
493	C₄×Dic₁₃	—	2	2	no	—
494	C₄×Dic₁₃	—	2	2	no	—
495	C₄×Dic₁₃	—	2	2	no	—
496	C₄×Dic₁₃	—	2	2	no	—
497	C₄×Dic₁₃	—	2	2	no	—
498	C₄×Dic₁₃	—	2	2	no	—
499	C₄×Dic₁₃	—	2	2	no	—
500	#2839	—	13	1	no	—
501	#2839	—	13	1	no	—
502	#2838	—	13	1	no	—
503	#2838	—	13	1	no	—
504	#2837	—	13	1	no	—
505	#2837	—	13	1	no	—
506	#2836	—	13	1	no	—
507	#2836	—	13	1	no	—
508	#2835	—	13	1	no	—
509	#2834	—	13	1	no	—
510	#2827	—	13	1	no	—
511	#2827	—	13	1	no	—
512	#2827	—	13	1	no	—
513	#2827	—	13	1	no	—
514	#2826	—	13	1	no	—
515	#2824	—	13	1	no	—
516	#2402	—	13	1	no	—
517	#2402	—	13	1	no	—
518	#2401	—	13	1	no	—
519	#2401	—	13	1	no	—
520	#2396	—	13	1	no	—
521	#2396	—	13	1	no	—
522	#2396	—	13	1	no	—
523	#2395	—	13	1	no	—
524	#2395	—	13	1	no	—
525	#2395	—	13	1	no	—
526	#2395	—	13	1	no	—
527	#2392	—	13	1	no	—
528	#2296	—	13	1	no	—
529	#2290	—	13	1	no	—
530	#2290	D₁₃	1	1	yes	characteristic, complemented
531	C₂³×C₁₃	—	2	1	no	—
532	C₂³×C₁₃	—	2	1	no	—
533	C₂³×C₁₃	—	2	1	no	—
534	C₂³×C₁₃	—	2	1	no	—
535	C₂³×C₁₃	—	2	1	no	—
536	C₂³×C₁₃	—	2	1	no	—
537	C₂³×C₁₃	—	2	1	no	—
538	C₂³×C₁₃	—	2	1	no	—
539	C₂³×C₁₃	—	2	1	no	—
540	C₂³×C₁₃	—	2	1	no	—
541	C₂³×C₁₃	—	2	1	no	—
542	C₂³×C₁₃	—	2	1	no	—
543	C₂³×C₁₃	—	2	1	no	—
544	C₂³×C₁₃	C₂×#41	1	2	yes	—
545	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
546	C₂²×D₁₃	—	2	1	no	—
547	C₂²×D₁₃	—	2	1	no	—
548	C₂²×D₁₃	—	2	1	no	—
549	C₂²×D₁₃	—	2	1	no	—
550	C₂²×D₁₃	—	2	1	no	—
551	C₂²×D₁₃	—	2	1	no	—
552	C₂²×D₁₃	—	2	1	no	—
553	D₄×C₁₃	—	4	4	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	8	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	4	4	no	—
591	C₂×C₄×C₁₃	—	4	4	no	—
592	C₂×C₄×C₁₃	—	4	4	no	—
593	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
594	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
595	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
596	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
597	C₂²⋊D₁₃	—	4	4	no	—
598	C₂²⋊D₁₃	—	4	4	no	—
599	C₂×Dic₁₃	—	2	1	no	—
600	C₂×Dic₁₃	—	2	1	no	—
601	C₂×Dic₁₃	—	2	1	no	—
602	C₂×Dic₁₃	—	2	1	no	—
603	C₂×Dic₁₃	—	2	1	no	—
604	C₂×Dic₁₃	—	2	1	no	—
605	C₂×Dic₁₃	—	2	1	no	—
606	C₂×Dic₁₃	—	2	1	no	—
607	C₂×Dic₁₃	—	2	1	no	—
608	C₂×Dic₁₃	—	2	1	no	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	—	2	1	no	—
618	C₂×Dic₁₃	—	2	1	no	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	—	2	1	no	—
629	C₂×Dic₁₃	—	2	1	no	—
630	C₂×Dic₁₃	—	2	1	no	—
631	C₂×Dic₁₃	—	2	1	no	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
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	C₄×D₁₃	—	4	4	no	—
645	Dic₂₆	—	4	4	no	—
646	C₂×C₄×Q₈	—	13	1	no	—
647	C₂×C₄×D₄	—	13	1	no	—
648	C₂×C₄×D₄	—	13	1	no	—
649	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
650	C₂×#117	—	13	1	no	—
651	C₂×#117	—	13	1	no	—
652	C₂×#117	—	13	1	no	—
653	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
654	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
655	#401	—	13	1	no	—
656	#401	—	13	1	no	—
657	#400	—	13	1	no	—
658	#400	—	13	1	no	—
659	#400	—	13	1	no	—
660	#400	—	13	1	no	—
661	#400	—	13	1	no	—
662	#400	—	13	1	no	—
663	#400	—	13	1	no	—
664	#400	—	13	1	no	—
665	#400	—	13	1	no	—
666	#400	—	13	1	no	—
667	#400	—	13	1	no	—
668	#400	—	13	1	no	—
669	#400	—	13	1	no	—
670	#400	—	13	1	no	—
671	#400	—	13	1	no	—
672	#400	—	13	1	no	—
673	#400	—	13	1	no	—
674	#400	—	13	1	no	—
675	#400	—	13	1	no	—
676	#400	—	13	1	no	—
677	#400	—	13	1	no	—
678	#399	—	13	1	no	—
679	#399	—	13	1	no	—
680	#399	—	13	1	no	—
681	#399	—	13	1	no	—
682	#399	—	13	1	no	—
683	#399	—	13	1	no	—
684	#399	—	13	1	no	—
685	#398	—	13	1	no	—
686	#398	—	13	1	no	—
687	#398	—	13	1	no	—
688	#398	—	13	1	no	—
689	#398	—	13	1	no	—
690	#398	—	13	1	no	—
691	#398	—	13	1	no	—
692	#398	—	13	1	no	—
693	#398	—	13	1	no	—
694	#398	—	13	1	no	—
695	#398	—	13	1	no	—
696	#398	—	13	1	no	—
697	#398	—	13	1	no	—
698	#398	—	13	1	no	—
699	#398	—	13	1	no	—
700	#398	—	13	1	no	—
701	#398	—	13	1	no	—
702	#398	—	13	1	no	—
703	#398	—	13	1	no	—
704	#397	—	13	1	no	—
705	#397	—	13	1	no	—
706	#397	—	13	1	no	—
707	#397	—	13	1	no	—
708	#397	—	13	1	no	—
709	#397	—	13	1	no	—
710	#397	—	13	1	no	—
711	#397	—	13	1	no	—
712	#397	—	13	1	no	—
713	#397	—	13	1	no	—
714	#397	—	13	1	no	—
715	#397	—	13	1	no	—
716	#397	—	13	1	no	—
717	#397	—	13	1	no	—
718	#397	—	13	1	no	—
719	#397	—	13	1	no	—
720	#397	—	13	1	no	—
721	#397	—	13	1	no	—
722	#397	—	13	1	no	—
723	#396	—	13	1	no	—
724	#396	—	13	1	no	—
725	#396	—	13	1	no	—
726	#396	—	13	1	no	—
727	#396	—	13	1	no	—
728	#396	—	13	1	no	—
729	#396	—	13	1	no	—
730	#396	—	13	1	no	—
731	#396	—	13	1	no	—
732	#396	—	13	1	no	—
733	#395	—	13	1	no	—
734	#395	—	13	1	no	—
735	#395	—	13	1	no	—
736	#394	—	13	1	no	—
737	#394	—	13	1	no	—
738	#394	—	13	1	no	—
739	#394	—	13	1	no	—
740	#394	—	13	1	no	—
741	#394	—	13	1	no	—
742	#394	—	13	1	no	—
743	#394	—	13	1	no	—
744	#394	—	13	1	no	—
745	#394	—	13	1	no	—
746	#394	—	13	1	no	—
747	#393	—	13	1	no	—
748	#393	—	13	1	no	—
749	#393	—	13	1	no	—
750	#392	—	13	1	no	—
751	#389	—	13	1	no	—
752	#389	—	13	1	no	—
753	#389	—	13	1	no	—
754	#389	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	C₂×D₁₃	1	1	yes	characteristic
758	#388	C₂×D₁₃	1	1	yes	characteristic
759	#387	—	13	1	no	—
760	#387	—	13	1	no	—
761	#387	C₂×D₁₃	1	1	yes	characteristic
762	#387	C₂×D₁₃	1	1	yes	characteristic
763	#386	—	13	1	no	—
764	#386	—	13	1	no	—
765	#386	C₂×D₁₃	1	1	yes	characteristic
766	#386	C₂×D₁₃	1	1	yes	characteristic
767	#385	—	13	1	no	—
768	#385	—	13	1	no	—
769	#385	—	13	1	no	—
770	#385	—	13	1	no	—
771	#385	—	13	1	no	—
772	#385	—	13	1	no	—
773	#385	C₂×D₁₃	1	1	yes	characteristic
774	#385	C₂×D₁₃	1	1	yes	characteristic
775	C₄×C₄⋊C₄	—	13	1	no	—
776	C₄×C₄⋊C₄	—	13	1	no	—
777	C₄×C₄⋊C₄	—	13	1	no	—
778	C₄×C₄⋊C₄	—	13	1	no	—
779	C₄×C₄⋊C₄	—	13	1	no	—
780	C₄×C₄⋊C₄	—	13	1	no	—
781	C₄×C₄⋊C₄	—	13	1	no	—
782	C₄×C₄⋊C₄	—	13	1	no	—
783	C₄×C₄⋊C₄	—	13	1	no	—
784	C₄×C₄⋊C₄	—	13	1	no	—
785	C₄×C₄⋊C₄	—	13	1	no	—
786	C₄×C₄⋊C₄	—	13	1	no	—
787	C₄×C₄⋊C₄	—	13	1	no	—
788	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
789	C₄×C₂²⋊C₄	—	13	1	no	—
790	C₄×C₂²⋊C₄	—	13	1	no	—
791	C₄×C₂²⋊C₄	—	13	1	no	—
792	C₄×C₂²⋊C₄	—	13	1	no	—
793	C₄×C₂²⋊C₄	—	13	1	no	—
794	C₄×C₂²⋊C₄	—	13	1	no	—
795	C₄×C₂²⋊C₄	—	13	1	no	—
796	C₄×C₂²⋊C₄	—	13	1	no	—
797	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
798	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
799	#376	—	13	1	no	—
800	#376	C₂×D₁₃	1	1	yes	characteristic
801	C₂²×C₁₃	—	2	2	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	4	1	no	—
805	C₂²×C₁₃	—	4	1	no	—
806	C₂²×C₁₃	—	4	1	no	—
807	C₂²×C₁₃	—	4	1	no	—
808	C₂²×C₁₃	—	4	1	no	—
809	C₂²×C₁₃	—	4	1	no	—
810	C₂²×C₁₃	—	4	1	no	—
811	C₂²×C₁₃	—	4	1	no	—
812	C₂²×C₁₃	—	4	1	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
816	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
817	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
818	C₂²×C₁₃	#585	1	1	yes	characteristic
819	C₂²×C₁₃	#585	1	1	yes	characteristic
820	C₂²×C₁₃	#585	1	1	yes	characteristic
821	C₂²×C₁₃	#585	1	1	yes	characteristic
822	C₂×D₁₃	—	4	1	no	—
823	C₂×D₁₃	—	4	1	no	—
824	C₂×D₁₃	—	4	1	no	—
825	C₂×D₁₃	—	4	1	no	—
826	C₂×D₁₃	—	4	1	no	—
827	C₂×D₁₃	—	4	1	no	—
828	C₂×D₁₃	—	4	1	no	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	—	4	1	no	—
831	C₄×C₁₃	—	4	1	no	—
832	C₄×C₁₃	—	4	1	no	—
833	C₄×C₁₃	—	4	1	no	—
834	C₄×C₁₃	—	4	1	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	—	4	1	no	—
837	C₄×C₁₃	—	4	1	no	—
838	C₄×C₁₃	—	4	1	no	—
839	C₄×C₁₃	—	4	1	no	—
840	C₄×C₁₃	—	4	1	no	—
841	C₄×C₁₃	#539	1	4	yes	—
842	Dic₁₃	—	4	1	no	—
843	Dic₁₃	—	4	1	no	—
844	Dic₁₃	—	4	1	no	—
845	Dic₁₃	—	4	1	no	—
846	Dic₁₃	—	4	1	no	—
847	Dic₁₃	—	4	1	no	—
848	Dic₁₃	—	4	1	no	—
849	Dic₁₃	—	4	1	no	—
850	Dic₁₃	—	4	1	no	—
851	Dic₁₃	—	4	1	no	—
852	Dic₁₃	—	4	1	no	—
853	Dic₁₃	—	4	1	no	—
854	Dic₁₃	—	4	1	no	—
855	Dic₁₃	—	4	1	no	—
856	Dic₁₃	—	4	1	no	—
857	C₂²×Q₈	—	13	1	no	—
858	C₂²×D₄	—	13	1	no	—
859	C₂²×D₄	—	13	1	no	—
860	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
861	C₂³×C₄	—	13	1	no	—
862	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
863	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
864	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
865	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
866	C₄×Q₈	—	52	2	no	—
867	C₄×D₄	—	2	4	no	—
868	C₄×D₄	—	26	4	no	—
869	C₄×D₄	—	52	2	no	—
870	#117	—	4	2	no	—
871	#117	—	26	4	no	—
872	#117	—	52	2	no	—
873	#117	—	52	2	no	—
874	C₂×C₄⋊C₄	—	13	1	no	—
875	C₂×C₄⋊C₄	—	13	1	no	—
876	C₂×C₄⋊C₄	—	13	1	no	—
877	C₂×C₄⋊C₄	—	13	1	no	—
878	C₂×C₄⋊C₄	—	13	1	no	—
879	C₂×C₄⋊C₄	—	13	1	no	—
880	C₂×C₄⋊C₄	—	13	1	no	—
881	C₂×C₄⋊C₄	—	13	1	no	—
882	C₂×C₄⋊C₄	—	13	1	no	—
883	C₂×C₄⋊C₄	—	13	1	no	—
884	C₂×C₄⋊C₄	—	13	1	no	—
885	C₂×C₄⋊C₄	—	13	1	no	—
886	C₂×C₄⋊C₄	—	13	1	no	—
887	C₂×C₄⋊C₄	—	13	1	no	—
888	C₂×C₄⋊C₄	—	13	1	no	—
889	C₂×C₄⋊C₄	—	13	1	no	—
890	C₂×C₄⋊C₄	—	13	1	no	—
891	C₂×C₄⋊C₄	—	13	1	no	—
892	C₂×C₄⋊C₄	—	13	1	no	—
893	C₂×C₄⋊C₄	—	13	1	no	—
894	C₂×C₄⋊C₄	—	13	1	no	—
895	C₂×C₄⋊C₄	—	13	1	no	—
896	C₂×C₄⋊C₄	—	13	1	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	1	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	1	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	1	no	—
910	C₂×C₄⋊C₄	—	13	1	no	—
911	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	—	13	1	no	—
917	C₂×C₂²⋊C₄	—	13	1	no	—
918	C₂×C₂²⋊C₄	—	13	1	no	—
919	C₂×C₂²⋊C₄	—	13	1	no	—
920	C₂×C₂²⋊C₄	—	13	1	no	—
921	C₂×C₂²⋊C₄	—	13	1	no	—
922	C₂×C₂²⋊C₄	—	13	1	no	—
923	C₂×C₂²⋊C₄	—	13	1	no	—
924	C₂×C₂²⋊C₄	—	13	1	no	—
925	C₂×C₂²⋊C₄	—	13	1	no	—
926	C₂×C₂²⋊C₄	—	13	1	no	—
927	C₂×C₂²⋊C₄	—	13	1	no	—
928	C₂×C₂²⋊C₄	—	13	1	no	—
929	C₂×C₂²⋊C₄	—	13	1	no	—
930	C₂×C₂²⋊C₄	—	13	1	no	—
931	C₂×C₂²⋊C₄	—	13	1	no	—
932	C₂×C₂²⋊C₄	—	13	1	no	—
933	C₂×C₂²⋊C₄	—	13	1	no	—
934	C₂×C₂²⋊C₄	—	13	1	no	—
935	C₂×C₂²⋊C₄	—	13	1	no	—
936	C₂×C₂²⋊C₄	—	13	1	no	—
937	C₂×C₂²⋊C₄	—	13	1	no	—
938	C₂×C₂²⋊C₄	—	13	1	no	—
939	C₂×C₂²⋊C₄	—	13	1	no	—
940	C₂×C₂²⋊C₄	—	13	1	no	—
941	C₂×C₂²⋊C₄	—	13	1	no	—
942	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
950	C₂×C₄²	—	4	2	no	—
951	C₂×C₄²	—	13	1	no	—
952	C₂×C₄²	—	13	1	no	—
953	C₂×C₄²	—	13	1	no	—
954	C₂×C₄²	—	13	1	no	—
955	C₂×C₄²	—	13	1	no	—
956	C₂×C₄²	—	13	1	no	—
957	C₂×C₄²	—	13	1	no	—
958	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
962	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
963	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
964	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
965	#95	—	13	1	no	—
966	#95	—	13	1	no	—
967	#95	—	13	1	no	—
968	#95	—	13	1	no	—
969	#95	—	13	1	no	—
970	#95	—	13	1	no	—
971	#95	—	13	1	no	—
972	#95	—	13	1	no	—
973	#95	—	13	1	no	—
974	#95	—	13	1	no	—
975	#95	—	13	1	no	—
976	#95	—	13	1	no	—
977	#95	—	13	1	no	—
978	#95	—	13	1	no	—
979	#95	—	13	1	no	—
980	#95	—	13	1	no	—
981	#95	—	13	1	no	—
982	#95	—	13	1	no	—
983	#95	—	13	1	no	—
984	#95	—	13	1	no	—
985	#95	—	13	1	no	—
986	#95	—	13	1	no	—
987	#95	—	13	1	no	—
988	#95	—	13	1	no	—
989	#95	—	13	1	no	—
990	#95	—	13	1	no	—
991	#95	—	13	1	no	—
992	#95	—	13	1	no	—
993	#95	—	13	1	no	—
994	#95	—	13	1	no	—
995	#95	—	13	1	no	—
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	—	13	1	no	—
1008	#95	—	13	1	no	—
1009	#95	—	13	1	no	—
1010	#95	—	13	1	no	—
1011	#95	C₂²×D₁₃	1	1	yes	characteristic
1012	#95	C₂²×D₁₃	1	1	yes	characteristic
1013	#95	C₂²×D₁₃	1	1	yes	characteristic
1014	#95	C₂²×D₁₃	1	1	yes	characteristic
1015	#95	C₂²×D₁₃	1	1	yes	characteristic
1016	#95	C₂²×D₁₃	1	1	yes	characteristic
1017	#95	C₂²×D₁₃	1	1	yes	characteristic
1018	#95	C₂²×D₁₃	1	1	yes	characteristic
1019	#95	C₂²×D₁₃	1	1	yes	characteristic
1020	#95	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₁₃	—	4	2	no	—
1022	C₂×C₁₃	—	8	1	no	—
1023	C₂×C₁₃	C₂×#539	1	1	yes	characteristic
1024	C₂×C₁₃	#3455	1	1	yes	characteristic
1025	C₂×C₁₃	#3455	1	1	yes	characteristic
1026	C₂×C₁₃	#3529	1	1	yes	characteristic
1027	C₂×C₁₃	#3529	1	1	yes	characteristic
1028	C₂×C₁₃	#3531	1	1	yes	characteristic
1029	C₂×C₁₃	#3531	1	1	yes	characteristic
1030	D₁₃	—	8	1	no	—
1031	C₂⁴	—	13	1	no	—
1032	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1034	C₂×Q₈	—	52	1	no	—
1035	C₂×Q₈	—	52	1	no	—
1036	C₂×Q₈	—	52	1	no	—
1037	C₂×D₄	—	2	2	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	26	2	no	—
1041	C₂×D₄	—	52	1	no	—
1042	C₂×D₄	—	52	1	no	—
1043	C₂×D₄	—	52	1	no	—
1044	C₂×D₄	—	52	1	no	—
1045	C₂×D₄	—	52	1	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	4	1	no	—
1056	C₂²×C₄	—	4	1	no	—
1057	C₂²×C₄	—	13	1	no	—
1058	C₂²×C₄	—	13	1	no	—
1059	C₂²×C₄	—	13	1	no	—
1060	C₂²×C₄	—	13	1	no	—
1061	C₂²×C₄	—	13	1	no	—
1062	C₂²×C₄	—	13	1	no	—
1063	C₂²×C₄	—	13	1	no	—
1064	C₂²×C₄	—	13	1	no	—
1065	C₂²×C₄	—	13	1	no	—
1066	C₂²×C₄	—	13	1	no	—
1067	C₂²×C₄	—	13	1	no	—
1068	C₂²×C₄	—	13	1	no	—
1069	C₂²×C₄	—	13	1	no	—
1070	C₂²×C₄	—	13	1	no	—
1071	C₂²×C₄	—	13	1	no	—
1072	C₂²×C₄	—	26	2	no	—
1073	C₂²×C₄	—	26	2	no	—
1074	C₂²×C₄	—	26	2	no	—
1075	C₂²×C₄	#6127	1	4	yes	—
1076	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	26	2	no	—
1095	C₄⋊C₄	—	26	2	no	—
1096	C₄⋊C₄	—	26	2	no	—
1097	C₄⋊C₄	—	52	1	no	—
1098	C₄⋊C₄	—	52	1	no	—
1099	C₄⋊C₄	—	52	1	no	—
1100	C₄⋊C₄	—	52	1	no	—
1101	C₄⋊C₄	—	52	1	no	—
1102	C₄⋊C₄	—	52	1	no	—
1103	C₄⋊C₄	—	52	1	no	—
1104	C₄⋊C₄	—	52	1	no	—
1105	C₄⋊C₄	—	52	1	no	—
1106	C₄⋊C₄	—	52	1	no	—
1107	C₄⋊C₄	—	52	1	no	—
1108	C₄⋊C₄	—	52	1	no	—
1109	C₄⋊C₄	—	52	1	no	—
1110	C₄⋊C₄	—	52	1	no	—
1111	C₄⋊C₄	—	52	1	no	—
1112	C₄⋊C₄	—	52	1	no	—
1113	C₄⋊C₄	—	52	1	no	—
1114	C₄⋊C₄	—	52	1	no	—
1115	C₄⋊C₄	—	52	1	no	—
1116	C₄⋊C₄	—	52	1	no	—
1117	C₄⋊C₄	—	52	1	no	—
1118	C₄⋊C₄	—	52	1	no	—
1119	C₄⋊C₄	—	52	1	no	—
1120	C₄⋊C₄	—	52	1	no	—
1121	C₄⋊C₄	—	52	1	no	—
1122	C₄⋊C₄	—	52	1	no	—
1123	C₄⋊C₄	—	52	1	no	—
1124	C₄⋊C₄	—	52	1	no	—
1125	C₄⋊C₄	—	52	1	no	—
1126	C₄⋊C₄	—	52	1	no	—
1127	C₄⋊C₄	—	52	1	no	—
1128	C₄⋊C₄	—	52	1	no	—
1129	C₄⋊C₄	—	52	1	no	—
1130	C₄⋊C₄	—	52	1	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	1	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	1	no	—
1137	C₂²⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	4	1	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	—	52	1	no	—
1144	C₂²⋊C₄	—	52	1	no	—
1145	C₂²⋊C₄	—	52	1	no	—
1146	C₂²⋊C₄	—	52	1	no	—
1147	C₂²⋊C₄	—	52	1	no	—
1148	C₂²⋊C₄	—	52	1	no	—
1149	C₂²⋊C₄	—	52	1	no	—
1150	C₂²⋊C₄	—	52	1	no	—
1151	C₂²⋊C₄	—	52	1	no	—
1152	C₂²⋊C₄	—	52	1	no	—
1153	C₂²⋊C₄	—	52	1	no	—
1154	C₂²⋊C₄	—	52	1	no	—
1155	C₂²⋊C₄	—	52	1	no	—
1156	C₂²⋊C₄	—	52	1	no	—
1157	C₂²⋊C₄	—	52	1	no	—
1158	C₂²⋊C₄	—	52	1	no	—
1159	C₂²⋊C₄	—	52	1	no	—
1160	C₂²⋊C₄	—	52	1	no	—
1161	C₂²⋊C₄	—	52	1	no	—
1162	C₂²⋊C₄	—	52	1	no	—
1163	C₂²⋊C₄	—	52	1	no	—
1164	C₂²⋊C₄	—	52	1	no	—
1165	C₄²	—	2	2	no	—
1166	C₄²	—	2	2	no	—
1167	C₄²	—	2	2	no	—
1168	C₄²	—	2	2	no	—
1169	C₄²	—	2	2	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	26	2	no	—
1173	C₄²	—	26	2	no	—
1174	C₄²	—	26	2	no	—
1175	C₄²	—	26	2	no	—
1176	C₄²	—	26	2	no	—
1177	C₄²	—	26	2	no	—
1178	C₄²	—	26	2	no	—
1179	C₁₃	#36662	1	1	yes	characteristic, complemented, Sylow
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	26	1	no	—
1194	C₂³	—	26	1	no	—
1195	C₂³	—	26	1	no	—
1196	C₂³	—	26	1	no	—
1197	C₂³	—	26	1	no	—
1198	C₂³	—	26	1	no	—
1199	C₂³	—	26	1	no	—
1200	C₂³	C₂×#6127	1	2	yes	—
1201	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1202	Q₈	—	52	4	no	—
1203	D₄	—	4	4	no	—
1204	D₄	—	52	4	no	—
1205	D₄	—	52	4	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	8	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	4	4	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	4	4	no	—
1245	C₂×C₄	—	26	1	no	—
1246	C₂×C₄	—	26	1	no	—
1247	C₂×C₄	—	26	1	no	—
1248	C₂×C₄	—	26	1	no	—
1249	C₂×C₄	—	26	1	no	—
1250	C₂×C₄	—	26	1	no	—
1251	C₂×C₄	—	26	1	no	—
1252	C₂×C₄	—	26	1	no	—
1253	C₂×C₄	—	26	1	no	—
1254	C₂×C₄	—	26	1	no	—
1255	C₂×C₄	—	26	1	no	—
1256	C₂×C₄	—	26	1	no	—
1257	C₂×C₄	—	26	1	no	—
1258	C₂×C₄	—	26	1	no	—
1259	C₂×C₄	—	26	1	no	—
1260	C₂×C₄	—	26	1	no	—
1261	C₂×C₄	—	26	1	no	—
1262	C₂×C₄	—	26	1	no	—
1263	C₂×C₄	—	26	1	no	—
1264	C₂×C₄	—	26	1	no	—
1265	C₂×C₄	—	26	1	no	—
1266	C₂×C₄	—	26	1	no	—
1267	C₂×C₄	—	26	1	no	—
1268	C₂×C₄	—	26	1	no	—
1269	C₂×C₄	—	26	1	no	—
1270	C₂×C₄	—	26	1	no	—
1271	C₂×C₄	—	26	1	no	—
1272	C₂×C₄	—	26	1	no	—
1273	C₂×C₄	—	26	1	no	—
1274	C₂×C₄	—	26	1	no	—
1275	C₂×C₄	—	26	1	no	—
1276	C₂×C₄	—	26	1	no	—
1277	C₂×C₄	—	26	1	no	—
1278	C₂×C₄	—	26	1	no	—
1279	C₂×C₄	—	26	1	no	—
1280	C₂×C₄	—	26	1	no	—
1281	C₂×C₄	—	26	1	no	—
1282	C₂×C₄	—	26	1	no	—
1283	C₂×C₄	—	26	1	no	—
1284	C₂×C₄	—	26	1	no	—
1285	C₂×C₄	—	26	1	no	—
1286	C₂×C₄	—	26	1	no	—
1287	C₂×C₄	—	26	1	no	—
1288	C₂×C₄	—	26	1	no	—
1289	C₂×C₄	—	26	1	no	—
1290	C₂×C₄	—	52	4	no	—
1291	C₂×C₄	C₂×#6127	1	2	yes	—
1292	C₂×C₄	C₂×#6127	1	2	yes	—
1293	C₂×C₄	#88251	1	2	yes	—
1294	C₂×C₄	#88257	1	2	yes	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	52	1	no	—
1310	C₂²	—	52	1	no	—
1311	C₂²	—	52	1	no	—
1312	C₂²	—	52	1	no	—
1313	C₂²	—	52	1	no	—
1314	C₂²	—	52	1	no	—
1315	C₂²	—	52	1	no	—
1316	C₂²	C₂²×#6127	1	1	yes	characteristic
1317	C₂²	C₂×#88251	1	1	yes	characteristic
1318	C₂²	C₂×#88257	1	1	yes	characteristic
1319	C₂²	#11719648	1	1	yes	characteristic
1320	C₂²	#11719648	1	1	yes	characteristic
1321	C₂²	#11719648	1	1	yes	characteristic
1322	C₂²	#11719648	1	1	yes	characteristic
1323	C₄	—	2	2	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	52	1	no	—
1336	C₄	—	52	1	no	—
1337	C₄	—	52	1	no	—
1338	C₄	—	52	1	no	—
1339	C₄	—	52	1	no	—
1340	C₄	—	52	1	no	—
1341	C₄	—	52	1	no	—
1342	C₄	—	52	1	no	—
1343	C₄	—	52	1	no	—
1344	C₄	—	52	1	no	—
1345	C₄	—	52	1	no	—
1346	C₄	—	52	1	no	—
1347	C₄	—	52	1	no	—
1348	C₄	—	52	1	no	—
1349	C₄	—	52	1	no	—
1350	C₄	#11719269	1	4	yes	—
1351	C₂	—	4	2	no	—
1352	C₂	—	8	1	no	—
1353	C₂	—	104	1	no	—
1354	C₂	C₂×#11719269	1	1	yes	characteristic
1355	C₂	#13128221	1	1	yes	characteristic
1356	C₂	#13128226	1	1	yes	characteristic
1357	C₂	#13128974	1	1	yes	characteristic
1358	C₂	#13128974	1	1	yes	characteristic
1359	C₂	#13128981	1	1	yes	characteristic
1360	C₂	#13128981	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₁₃×#2290	C₂
prime radical	#11718884	C₂²
hypercenter	#2290	D₁₃
hypocenter	C₁₃	#36662
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ #2290

Complements

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

N	H ≅ G/N	type
1. #13123078	C₂	semidirect
2. #13123074	C₂	semidirect
3. #13123063	C₂	semidirect
4. #13123059	C₂	semidirect
5. #13123048	C₂	semidirect
6. #13123044	C₂	semidirect
7. #13123033	C₂	semidirect
8. #13123029	C₂	semidirect
9. #13123024	C₂	semidirect
10. #13123019	C₂	semidirect
11. #13122942	C₂	semidirect
12. #13122940	C₂	semidirect
13. #13122940	C₂	semidirect
14. #13122938	C₂	semidirect
17. #13118143	C₂	semidirect
18. #13118141	C₂	semidirect
19. #13118136	C₂	semidirect
20. #13118134	C₂	semidirect
21. #13118112	C₂	semidirect
22. #13118110	C₂	semidirect
23. #13118104	C₂	semidirect
24. #13118097	C₂	semidirect
25. #13118096	C₂	semidirect
26. #13118095	C₂	semidirect
27. #13118093	C₂	semidirect
29. #13117319	C₂	semidirect
30. #13117279	C₂	semidirect
31. C₁₃×#2290	C₂	semidirect
530. #2290	D₁₃	semidirect
1179. C₁₃	#36662	semidirect

Maximal subgroups

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

subgroup	index
#13123078	2
#13123074	2
#13123063	2
#13123059	2
#13123048	2
#13123044	2
#13123033	2
#13123029	2
#13123024	2
#13123019	2
#13122942	2
#13122940	2
#13122938	2
#13122931	2
#13122913	2
#13118143	2
#13118141	2
#13118136	2
#13118134	2
#13118112	2
#13118110	2
#13118104	2
#13118097	2
#13118096	2
#13118095	2
#13118093	2
#13118078	2
#13117319	2
#13117279	2
C₁₃×#2290	2
#36662	13