Subgroups — #16032751

Order 3328.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13119717	C₂	1	1	yes	maximal, characteristic, complemented
2	#13119694	C₂	1	1	yes	maximal, characteristic, complemented
3	#13119659	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119636	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119593	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119526	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119503	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119275	C₂	1	1	yes	maximal, characteristic
9	#13119218	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119159	C₂	1	1	yes	maximal, characteristic
11	#13119118	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119101	C₂	1	1	yes	maximal, characteristic
13	#13118981	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118515	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118236	C₂	1	1	yes	maximal, characteristic
16	#13118142	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118140	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118135	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118113	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117391	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117384	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117370	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117357	C₂	1	1	yes	maximal, characteristic
24	#13117357	C₂	1	1	yes	maximal, characteristic
25	#13117328	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117309	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117274	C₂	1	1	yes	maximal, characteristic
28	#13117233	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88146	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2524	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88150	C₂²	1	1	yes	characteristic
33	C₂×#88148	C₂²	1	1	yes	characteristic
34	C₂×#88148	C₂²	1	1	yes	characteristic
35	C₂×#88147	C₂²	1	1	yes	characteristic
36	C₂×#88146	C₂²	1	1	yes	characteristic
37	C₂×#88146	C₂²	1	1	yes	characteristic
38	C₂×#88146	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×#88141	C₂²	1	1	yes	characteristic
42	C₂×#88130	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×#88124	C₂²	1	1	yes	characteristic
47	C₁₃×#400	C₂²	1	1	yes	characteristic
48	C₁₃×#400	C₂²	1	1	yes	characteristic
49	C₁₃×#398	C₂²	1	1	yes	characteristic
50	C₁₃×#398	C₂²	1	1	yes	characteristic
51	C₁₃×#387	C₂²	1	1	yes	characteristic
52	C₁₃×#387	C₂²	1	1	yes	characteristic
53	C₁₃×#387	C₂²	1	1	yes	characteristic
54	C₁₃×#387	C₂²	1	1	yes	characteristic
55	C₁₃×#387	C₂²	1	1	yes	characteristic
56	C₁₃×#387	C₂²	1	1	yes	characteristic
57	C₁₃×#383	C₂²	1	1	yes	characteristic
58	C₁₃×#383	C₂²	1	1	yes	characteristic
59	C₁₃×#382	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	#11718655	C₂²	1	1	yes	characteristic
63	#11718655	C₂²	1	1	yes	characteristic
64	#11718655	C₂²	1	1	yes	characteristic
65	#11718654	C₂²	1	1	yes	characteristic
66	#11718653	C₂²	1	1	yes	characteristic
67	#11718651	C₂²	1	1	yes	characteristic
68	#11718650	C₂²	1	1	yes	characteristic
69	#11718650	C₂²	1	1	yes	characteristic
70	#11718647	C₂²	1	1	yes	characteristic
71	#11718645	C₂²	1	1	yes	characteristic
72	#11718645	C₂²	1	1	yes	characteristic
73	#11718645	C₂²	1	1	yes	characteristic
74	#11718644	C₂²	1	1	yes	characteristic
75	#11718643	C₂²	1	1	yes	characteristic
76	#11718642	C₂²	1	1	yes	characteristic
77	#11718642	C₂²	1	1	yes	characteristic
78	#11718642	C₂²	1	1	yes	characteristic
79	#11718641	C₂²	1	1	yes	characteristic
80	#11718639	C₂²	1	1	yes	characteristic
81	#11718639	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
84	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
89	#11718634	C₂²	1	1	yes	characteristic
90	#11718634	C₂²	1	1	yes	characteristic
91	#11718633	C₂²	1	1	yes	characteristic
92	#11718601	C₂²	1	1	yes	characteristic
93	#11718601	C₂²	1	1	yes	characteristic
94	#11718601	C₂²	1	1	yes	characteristic
95	#11718601	C₂²	1	1	yes	characteristic
96	C₄×#6103	C₂²	1	1	yes	characteristic
97	C₄×#6103	C₂²	1	1	yes	characteristic
98	#11718598	C₂²	1	1	yes	characteristic
99	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
100	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
101	#11718594	C₂²	1	1	yes	characteristic
102	#11718594	C₂²	1	1	yes	characteristic
103	C₄×#6101	C₂²	1	1	yes	characteristic
104	C₄×#6101	C₂²	1	1	yes	characteristic
105	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
106	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
107	#11718336	C₂²	1	1	yes	characteristic
108	#11718335	C₂²	1	1	yes	characteristic
109	#11718334	C₂²	1	1	yes	characteristic
110	#11718331	C₂²	1	1	yes	characteristic
111	#11718331	C₂²	1	1	yes	characteristic
112	#11718331	C₂²	1	1	yes	characteristic
113	#11718330	C₂²	1	1	yes	characteristic
114	#11718330	C₂²	1	1	yes	characteristic
115	#11718330	C₂²	1	1	yes	characteristic
116	#11718330	C₂²	1	1	yes	characteristic
117	#11718330	C₂²	1	1	yes	characteristic
118	#11718329	C₂²	1	1	yes	characteristic
119	#11718329	C₂²	1	1	yes	characteristic
120	#11718329	C₂²	1	1	yes	characteristic
121	#11718329	C₂²	1	1	yes	characteristic
122	#11718328	C₂²	1	1	yes	characteristic
123	#11718328	C₂²	1	1	yes	characteristic
124	#11718328	C₂²	1	1	yes	characteristic
125	#11718327	C₂²	1	1	yes	characteristic
126	#11718327	C₂²	1	1	yes	characteristic
127	#11718327	C₂²	1	1	yes	characteristic
128	#11718327	C₂²	1	1	yes	characteristic
129	#11718327	C₂²	1	1	yes	characteristic
130	#11718327	C₂²	1	1	yes	characteristic
131	#11718327	C₂²	1	1	yes	characteristic
132	#11718327	C₂²	1	1	yes	characteristic
133	#11718326	C₂²	1	1	yes	characteristic
134	#11718326	C₂²	1	1	yes	characteristic
135	#11718326	C₂²	1	1	yes	characteristic
136	#11718326	C₂²	1	1	yes	characteristic
137	#11718325	C₂²	1	1	yes	characteristic
138	#11718325	C₂²	1	1	yes	characteristic
139	#11718325	C₂²	1	1	yes	characteristic
140	#11718325	C₂²	1	1	yes	characteristic
141	D₁₃×#95	C₂²	1	1	yes	characteristic
142	D₁₃×#95	C₂²	1	1	yes	characteristic
143	C₁₃⋊#401	C₂²	1	1	yes	characteristic
144	#11718322	C₂²	1	1	yes	characteristic
145	#11718321	C₂²	1	1	yes	characteristic
146	#11718321	C₂²	1	1	yes	characteristic
147	#11718321	C₂²	1	1	yes	characteristic
148	#11718321	C₂²	1	1	yes	characteristic
149	#11718320	C₂²	1	1	yes	characteristic
150	#11718320	C₂²	1	1	yes	characteristic
151	#11718319	C₂²	1	1	yes	characteristic
152	#11718319	C₂²	1	1	yes	characteristic
153	#11718318	C₂²	1	1	yes	characteristic
154	#11718318	C₂²	1	1	yes	characteristic
155	#11718317	C₂²	1	1	yes	characteristic
156	#11718315	C₂²	1	1	yes	characteristic
157	#11718314	C₂²	1	1	yes	characteristic
158	#11718313	C₂²	1	1	yes	characteristic
159	#11718313	C₂²	1	1	yes	characteristic
160	#11718313	C₂²	1	1	yes	characteristic
161	#11718313	C₂²	1	1	yes	characteristic
162	#11718313	C₂²	1	1	yes	characteristic
163	#11718313	C₂²	1	1	yes	characteristic
164	#11718313	C₂²	1	1	yes	characteristic
165	#11718313	C₂²	1	1	yes	characteristic
166	#11718311	C₂²	1	1	yes	characteristic
167	#11718311	C₂²	1	1	yes	characteristic
168	#11718310	C₂²	1	1	yes	characteristic
169	#11718310	C₂²	1	1	yes	characteristic
170	#11718310	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718310	C₂²	1	1	yes	characteristic
174	#11718310	C₂²	1	1	yes	characteristic
175	#11718310	C₂²	1	1	yes	characteristic
176	#11718310	C₂²	1	1	yes	characteristic
177	#11718309	C₂²	1	1	yes	characteristic
178	#11718309	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718309	C₂²	1	1	yes	characteristic
182	#11718308	C₂²	1	1	yes	characteristic
183	#11718308	C₂²	1	1	yes	characteristic
184	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	C₂²×D₅₂	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6103	C₂³	1	1	yes	characteristic
213	C₂×#6103	C₂³	1	1	yes	characteristic
214	C₂×#6103	C₂³	1	1	yes	characteristic
215	C₂×#6103	C₂³	1	1	yes	characteristic
216	C₂×#6103	C₂³	1	1	yes	characteristic
217	C₂×#6103	C₂³	1	1	yes	characteristic
218	C₂×#6103	C₂³	1	1	yes	characteristic
219	C₂×#6103	C₂³	1	1	yes	characteristic
220	C₂×#6103	C₂³	1	1	yes	characteristic
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	C₂³	1	1	yes	characteristic
223	C₂×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×#6101	C₂³	1	1	yes	characteristic
241	C₂×#6101	C₂³	1	1	yes	characteristic
242	C₂×#6101	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	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×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₁₃	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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	#88150	—	2	4	no	—
283	#88148	—	2	4	no	—
284	#88148	—	2	4	no	—
285	#88147	—	2	4	no	—
286	#88146	—	2	4	no	—
287	#88146	—	2	4	no	—
288	#88146	—	2	4	no	—
289	C₄⋊C₄×D₁₃	—	2	4	no	—
290	C₄⋊C₄×D₁₃	—	2	4	no	—
291	#88141	—	2	4	no	—
292	#88130	—	2	4	no	—
293	C₄²×D₁₃	—	2	4	no	—
294	C₄²×D₁₃	—	2	4	no	—
295	C₄²×D₁₃	—	2	4	no	—
296	#88124	—	2	4	no	—
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	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	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	#34808	—	13	1	no	maximal, Sylow
358	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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×Dic₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×D₅₂	—	2	2	no	—
390	C₂×D₅₂	—	2	2	no	—
391	C₂×D₅₂	—	2	2	no	—
392	C₂×C₄×D₁₃	—	2	2	no	—
393	C₂×C₄×D₁₃	—	2	2	no	—
394	C₂×C₄×D₁₃	—	2	2	no	—
395	C₂×C₄×D₁₃	—	2	2	no	—
396	C₂×C₄×D₁₃	—	2	2	no	—
397	C₂×C₄×D₁₃	—	2	2	no	—
398	C₂×C₄×D₁₃	—	2	2	no	—
399	C₂×C₄×D₁₃	—	2	2	no	—
400	C₂×C₄×D₁₃	—	2	2	no	—
401	C₂×C₄×D₁₃	—	2	2	no	—
402	C₂×C₄×D₁₃	—	2	2	no	—
403	C₂×C₄×D₁₃	—	2	2	no	—
404	C₂×C₄×D₁₃	—	2	2	no	—
405	C₂×C₄×D₁₃	—	2	2	no	—
406	C₂×C₄×D₁₃	—	2	2	no	—
407	C₂×C₄×D₁₃	—	2	2	no	—
408	C₂×C₄×D₁₃	—	2	2	no	—
409	C₂×C₄×D₁₃	—	2	2	no	—
410	C₂×C₄×D₁₃	—	2	2	no	—
411	C₂×C₄×D₁₃	—	4	1	no	—
412	C₂×C₄×D₁₃	—	4	1	no	—
413	C₂×C₄×D₁₃	—	4	1	no	—
414	C₂×C₄×D₁₃	#41	1	4	yes	—
415	C₂×C₄×D₁₃	#41	1	4	yes	—
416	C₂×Dic₂₆	—	2	2	no	—
417	C₂×Dic₂₆	—	2	2	no	—
418	C₂×Dic₂₆	—	4	1	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	2	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	—	2	2	no	—
434	#6103	—	2	2	no	—
435	#6103	—	2	2	no	—
436	#6103	—	2	2	no	—
437	#6103	—	2	2	no	—
438	#6103	—	2	2	no	—
439	#6103	—	2	2	no	—
440	#6103	—	2	2	no	—
441	#6103	—	2	2	no	—
442	#6103	—	2	2	no	—
443	#6103	—	2	2	no	—
444	#6103	—	2	2	no	—
445	#6103	—	2	2	no	—
446	#6103	—	2	2	no	—
447	#6103	—	2	2	no	—
448	#6103	—	2	2	no	—
449	#6103	—	2	2	no	—
450	#6103	—	4	1	no	—
451	#6103	—	4	1	no	—
452	#6103	—	4	1	no	—
453	#6103	#41	1	4	yes	—
454	C₄⋊Dic₁₃	—	2	2	no	—
455	C₄⋊Dic₁₃	—	2	2	no	—
456	C₄⋊Dic₁₃	—	2	2	no	—
457	C₄⋊Dic₁₃	—	2	2	no	—
458	C₄⋊Dic₁₃	—	2	2	no	—
459	C₄⋊Dic₁₃	—	2	2	no	—
460	C₄⋊Dic₁₃	—	2	2	no	—
461	C₄⋊Dic₁₃	—	4	1	no	—
462	#6101	—	2	2	no	—
463	#6101	—	2	2	no	—
464	#6101	—	2	2	no	—
465	#6101	—	2	2	no	—
466	#6101	—	2	2	no	—
467	#6101	—	2	2	no	—
468	#6101	—	2	2	no	—
469	#6101	—	2	2	no	—
470	#6101	—	2	2	no	—
471	#6101	—	2	2	no	—
472	#6101	—	2	2	no	—
473	#6101	—	2	2	no	—
474	#6101	—	2	2	no	—
475	#6101	—	2	2	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	#41	1	4	yes	—
482	C₄×Dic₁₃	—	2	2	no	—
483	C₄×Dic₁₃	—	2	2	no	—
484	C₄×Dic₁₃	—	2	2	no	—
485	C₄×Dic₁₃	—	2	2	no	—
486	C₄×Dic₁₃	—	2	2	no	—
487	C₄×Dic₁₃	—	2	2	no	—
488	C₄×Dic₁₃	—	2	2	no	—
489	C₄×Dic₁₃	—	2	2	no	—
490	C₄×Dic₁₃	—	2	2	no	—
491	C₄×Dic₁₃	—	2	2	no	—
492	C₄×Dic₁₃	—	2	2	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	C₄×Dic₁₃	—	2	2	no	—
501	C₄×Dic₁₃	—	4	1	no	—
502	C₄×Dic₁₃	—	4	1	no	—
503	C₄×Dic₁₃	#41	1	4	yes	—
504	#2533	—	13	1	no	—
505	#2532	—	13	1	no	—
506	#2529	—	13	1	no	—
507	#2528	—	13	1	no	—
508	#2525	—	13	1	no	—
509	#2524	D₁₃	1	1	yes	characteristic, complemented
510	#2520	—	13	1	no	—
511	#2519	—	13	1	no	—
512	#2498	—	13	1	no	—
513	#2493	—	13	1	no	—
514	#2488	—	13	1	no	—
515	#2484	—	13	1	no	—
516	#2481	—	13	1	no	—
517	#2473	—	13	1	no	—
518	#2438	—	13	1	no	—
519	#2413	—	13	1	no	—
520	#2402	—	13	1	no	—
521	#2402	—	13	1	no	—
522	#2401	—	13	1	no	—
523	#2396	—	13	1	no	—
524	C₄×#125	—	13	1	no	—
525	C₄×#126	—	13	1	no	—
526	C₄×C₂²⋊Q₈	—	13	1	no	—
527	C₄×#123	—	13	1	no	—
528	C₄×#123	—	13	1	no	—
529	#2298	—	13	1	no	—
530	#2295	—	13	1	no	—
531	#2290	—	13	1	no	—
532	#2283	—	13	1	no	—
533	C₄×#117	—	13	1	no	—
534	C₂×C₄×C₄⋊C₄	—	13	1	no	—
535	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
536	C₂²×D₁₃	—	2	1	no	—
537	C₂²×D₁₃	—	2	1	no	—
538	C₂²×D₁₃	—	2	1	no	—
539	C₂²×D₁₃	—	2	1	no	—
540	C₂²×D₁₃	—	2	1	no	—
541	C₂²×D₁₃	—	2	1	no	—
542	C₂²×D₁₃	—	2	1	no	—
543	C₂²×D₁₃	—	2	1	no	—
544	C₂²×D₁₃	—	2	1	no	—
545	C₂²×D₁₃	—	2	1	no	—
546	C₂²×D₁₃	—	2	1	no	—
547	C₂²×D₁₃	C₂×#41	1	2	yes	—
548	C₂²×D₁₃	C₂×#41	1	2	yes	—
549	C₂²×D₁₃	C₂×#41	1	2	yes	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	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	C₂×#41	1	2	yes	—
591	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
592	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
593	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
594	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
595	C₂×Dic₁₃	—	2	1	no	—
596	C₂×Dic₁₃	—	2	1	no	—
597	C₂×Dic₁₃	—	2	1	no	—
598	C₂×Dic₁₃	—	2	1	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	C₂×#41	1	2	yes	—
630	C₂×Dic₁₃	C₂×#41	1	2	yes	—
631	C₂×Dic₁₃	C₂×#41	1	2	yes	—
632	C₂×Dic₁₃	C₂×#41	1	2	yes	—
633	C₂×Dic₁₃	C₂×#41	1	2	yes	—
634	C₂×Dic₁₃	C₂×#41	1	2	yes	—
635	C₂×Dic₁₃	C₂×#41	1	2	yes	—
636	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
637	D₅₂	—	4	4	no	—
638	C₄×D₁₃	—	2	8	no	—
639	C₄×D₁₃	—	2	8	no	—
640	C₄×D₁₃	—	2	8	no	—
641	C₄×D₁₃	—	4	4	no	—
642	C₄×D₁₃	—	4	4	no	—
643	C₄×D₁₃	—	4	4	no	—
644	C₄×D₁₃	—	4	4	no	—
645	C₄×D₁₃	—	4	4	no	—
646	Dic₂₆	—	4	4	no	—
647	C₂×#126	—	13	1	no	—
648	C₂×#125	—	13	1	no	—
649	C₂×#123	—	13	1	no	—
650	C₂×#123	—	13	1	no	—
651	C₂×C₂²⋊Q₈	—	13	1	no	—
652	C₂×C₄×Q₈	—	13	1	no	—
653	C₂×C₄×D₄	—	13	1	no	—
654	C₂×#117	—	13	1	no	—
655	C₂×#117	—	13	1	no	—
656	C₂×#117	—	13	1	no	—
657	C₂²×C₄⋊C₄	—	13	1	no	—
658	C₂²×C₄⋊C₄	—	13	1	no	—
659	C₂²×C₄²	—	13	1	no	—
660	C₂²×C₄²	—	13	1	no	—
661	C₂²×C₄²	—	13	1	no	—
662	#401	—	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	C₂×D₁₃	1	1	yes	characteristic
674	#400	C₂×D₁₃	1	1	yes	characteristic
675	#399	—	13	1	no	—
676	#398	—	13	1	no	—
677	#398	—	13	1	no	—
678	#398	—	13	1	no	—
679	#398	—	13	1	no	—
680	#398	—	13	1	no	—
681	#398	—	13	1	no	—
682	#398	—	13	1	no	—
683	#398	—	13	1	no	—
684	#398	C₂×D₁₃	1	1	yes	characteristic
685	#398	C₂×D₁₃	1	1	yes	characteristic
686	#397	—	13	1	no	—
687	#397	—	13	1	no	—
688	#397	—	13	1	no	—
689	#396	—	13	1	no	—
690	#396	—	13	1	no	—
691	#396	—	13	1	no	—
692	#395	—	13	1	no	—
693	#393	—	13	1	no	—
694	#391	—	13	1	no	—
695	#391	—	13	1	no	—
696	#391	—	13	1	no	—
697	#389	—	13	1	no	—
698	#389	—	13	1	no	—
699	#389	—	13	1	no	—
700	#389	—	13	1	no	—
701	#389	—	13	1	no	—
702	#388	—	13	1	no	—
703	#388	—	13	1	no	—
704	#388	—	13	1	no	—
705	#388	—	13	1	no	—
706	#388	—	13	1	no	—
707	#388	—	13	1	no	—
708	#388	—	13	1	no	—
709	#388	—	13	1	no	—
710	#388	—	13	1	no	—
711	#388	—	13	1	no	—
712	#388	—	13	1	no	—
713	#388	—	13	1	no	—
714	#388	—	13	1	no	—
715	#387	—	13	1	no	—
716	#387	—	13	1	no	—
717	#387	—	13	1	no	—
718	#387	—	13	1	no	—
719	#387	—	13	1	no	—
720	#387	—	13	1	no	—
721	#387	—	13	1	no	—
722	#387	—	13	1	no	—
723	#387	—	13	1	no	—
724	#387	—	13	1	no	—
725	#387	—	13	1	no	—
726	#387	—	13	1	no	—
727	#387	—	13	1	no	—
728	#387	—	13	1	no	—
729	#387	—	13	1	no	—
730	#387	—	13	1	no	—
731	#387	—	13	1	no	—
732	#387	C₂×D₁₃	1	1	yes	characteristic
733	#387	C₂×D₁₃	1	1	yes	characteristic
734	#387	C₂×D₁₃	1	1	yes	characteristic
735	#387	C₂×D₁₃	1	1	yes	characteristic
736	#387	C₂×D₁₃	1	1	yes	characteristic
737	#387	C₂×D₁₃	1	1	yes	characteristic
738	#386	—	13	1	no	—
739	#386	—	13	1	no	—
740	#386	—	13	1	no	—
741	#386	—	13	1	no	—
742	#385	—	13	1	no	—
743	#385	—	13	1	no	—
744	#385	—	13	1	no	—
745	#385	—	13	1	no	—
746	#385	—	13	1	no	—
747	#385	—	13	1	no	—
748	#383	—	13	1	no	—
749	#383	C₂×D₁₃	1	1	yes	characteristic
750	#383	C₂×D₁₃	1	1	yes	characteristic
751	#382	—	13	1	no	—
752	#382	—	13	1	no	—
753	#382	C₂×D₁₃	1	1	yes	characteristic
754	#381	—	13	1	no	—
755	#381	—	13	1	no	—
756	#381	—	13	1	no	—
757	#381	—	13	1	no	—
758	#380	—	13	1	no	—
759	#380	—	13	1	no	—
760	#380	—	13	1	no	—
761	C₄×C₄⋊C₄	—	13	1	no	—
762	C₄×C₄⋊C₄	—	13	1	no	—
763	C₄×C₄⋊C₄	—	13	1	no	—
764	C₄×C₄⋊C₄	—	13	1	no	—
765	C₄×C₄⋊C₄	—	13	1	no	—
766	C₄×C₄⋊C₄	—	13	1	no	—
767	C₄×C₄⋊C₄	—	13	1	no	—
768	C₄×C₄⋊C₄	—	13	1	no	—
769	C₄×C₄⋊C₄	—	13	1	no	—
770	C₄×C₄⋊C₄	—	13	1	no	—
771	C₄×C₄⋊C₄	—	13	1	no	—
772	C₄×C₄⋊C₄	—	13	1	no	—
773	C₄×C₄⋊C₄	—	13	1	no	—
774	C₄×C₄⋊C₄	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic
782	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
783	C₄×C₂²⋊C₄	—	13	1	no	—
784	C₄×C₂²⋊C₄	—	13	1	no	—
785	C₄×C₂²⋊C₄	—	13	1	no	—
786	C₄×C₂²⋊C₄	—	13	1	no	—
787	C₄×C₂²⋊C₄	—	13	1	no	—
788	C₄×C₂²⋊C₄	—	13	1	no	—
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	#376	—	13	1	no	—
794	#376	—	13	1	no	—
795	#376	—	13	1	no	—
796	#376	—	13	1	no	—
797	#376	—	13	1	no	—
798	C₂×#95	—	13	1	no	—
799	C₂×#95	—	13	1	no	—
800	C₄³	—	13	1	no	—
801	C₄³	—	13	1	no	—
802	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
803	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
804	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
805	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
806	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
807	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
808	C₂²×C₁₃	#585	1	1	yes	characteristic
809	C₂×D₁₃	—	2	2	no	—
810	C₂×D₁₃	—	2	2	no	—
811	C₂×D₁₃	—	2	2	no	—
812	C₂×D₁₃	—	2	2	no	—
813	C₂×D₁₃	—	2	2	no	—
814	C₂×D₁₃	—	2	2	no	—
815	C₂×D₁₃	—	4	1	no	—
816	C₂×D₁₃	—	4	1	no	—
817	C₂×D₁₃	—	4	1	no	—
818	C₂×D₁₃	—	4	1	no	—
819	C₂×D₁₃	—	4	1	no	—
820	C₂×D₁₃	—	4	1	no	—
821	C₂×D₁₃	—	4	1	no	—
822	C₂×D₁₃	#529	1	4	yes	—
823	C₄×C₁₃	—	2	2	no	—
824	C₄×C₁₃	—	2	2	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	—	2	2	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	4	1	no	—
829	C₄×C₁₃	—	4	1	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	Dic₁₃	—	2	2	no	—
839	Dic₁₃	—	2	2	no	—
840	Dic₁₃	—	2	2	no	—
841	Dic₁₃	—	2	2	no	—
842	Dic₁₃	—	2	2	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	#552	1	4	yes	—
852	C₂²×Q₈	—	13	1	no	—
853	C₂²×D₄	—	13	1	no	—
854	C₂³×C₄	—	13	1	no	—
855	C₂³×C₄	—	13	1	no	—
856	C₂³×C₄	—	13	1	no	—
857	C₂³×C₄	—	13	1	no	—
858	C₂³×C₄	—	13	1	no	—
859	C₂³×C₄	—	13	1	no	—
860	C₂³×C₄	—	13	1	no	—
861	C₂³×C₄	—	13	1	no	—
862	#126	—	26	4	no	—
863	#125	—	26	4	no	—
864	#123	—	26	4	no	—
865	#123	—	26	4	no	—
866	C₂²⋊Q₈	—	26	4	no	—
867	C₄×Q₈	—	26	4	no	—
868	C₄×D₄	—	26	4	no	—
869	#117	—	26	4	no	—
870	#117	—	26	4	no	—
871	#117	—	26	4	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	1	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	—	26	4	no	—
901	C₂×C₄⋊C₄	—	26	4	no	—
902	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	—	13	1	no	—
913	C₂×C₂²⋊C₄	—	13	1	no	—
914	C₂×C₂²⋊C₄	—	13	1	no	—
915	C₂×C₂²⋊C₄	—	13	1	no	—
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×C₄²	—	13	1	no	—
933	C₂×C₄²	—	13	1	no	—
934	C₂×C₄²	—	13	1	no	—
935	C₂×C₄²	—	13	1	no	—
936	C₂×C₄²	—	13	1	no	—
937	C₂×C₄²	—	13	1	no	—
938	C₂×C₄²	—	13	1	no	—
939	C₂×C₄²	—	13	1	no	—
940	C₂×C₄²	—	13	1	no	—
941	C₂×C₄²	—	13	1	no	—
942	C₂×C₄²	—	13	1	no	—
943	C₂×C₄²	—	13	1	no	—
944	C₂×C₄²	—	13	1	no	—
945	C₂×C₄²	—	13	1	no	—
946	C₂×C₄²	—	13	1	no	—
947	C₂×C₄²	—	13	1	no	—
948	C₂×C₄²	—	13	1	no	—
949	C₂×C₄²	—	13	1	no	—
950	C₂×C₄²	—	13	1	no	—
951	C₂×C₄²	—	13	1	no	—
952	C₂×C₄²	—	13	1	no	—
953	C₂×C₄²	—	13	1	no	—
954	C₂×C₄²	—	26	4	no	—
955	C₂×C₄²	—	26	4	no	—
956	C₂×C₄²	—	26	4	no	—
957	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	#95	—	13	1	no	—
963	#95	—	13	1	no	—
964	#95	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1003	#95	C₂²×D₁₃	1	1	yes	characteristic
1004	#95	C₂²×D₁₃	1	1	yes	characteristic
1005	#95	C₂²×D₁₃	1	1	yes	characteristic
1006	#95	C₂²×D₁₃	1	1	yes	characteristic
1007	#95	C₂²×D₁₃	1	1	yes	characteristic
1008	#95	C₂²×D₁₃	1	1	yes	characteristic
1009	#95	C₂²×D₁₃	1	1	yes	characteristic
1010	#95	C₂²×D₁₃	1	1	yes	characteristic
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	#95	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1023	C₂×C₁₃	#3444	1	1	yes	characteristic
1024	C₂×C₁₃	#3461	1	1	yes	characteristic
1025	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1026	C₂×C₁₃	#3475	1	1	yes	characteristic
1027	C₂×C₁₃	#3475	1	1	yes	characteristic
1028	C₂×C₁₃	#3482	1	1	yes	characteristic
1029	D₁₃	—	2	4	no	—
1030	D₁₃	—	8	1	no	—
1031	C₂⁴	—	13	1	no	—
1032	C₂⁴	—	13	1	no	—
1033	C₂×Q₈	—	26	2	no	—
1034	C₂×Q₈	—	26	2	no	—
1035	C₂×Q₈	—	52	1	no	—
1036	C₂×D₄	—	26	2	no	—
1037	C₂×D₄	—	26	2	no	—
1038	C₂×D₄	—	26	2	no	—
1039	C₂²×C₄	—	13	1	no	—
1040	C₂²×C₄	—	13	1	no	—
1041	C₂²×C₄	—	13	1	no	—
1042	C₂²×C₄	—	13	1	no	—
1043	C₂²×C₄	—	13	1	no	—
1044	C₂²×C₄	—	13	1	no	—
1045	C₂²×C₄	—	13	4	no	—
1046	C₂²×C₄	—	13	4	no	—
1047	C₂²×C₄	—	13	1	no	—
1048	C₂²×C₄	—	13	1	no	—
1049	C₂²×C₄	—	13	1	no	—
1050	C₂²×C₄	—	13	1	no	—
1051	C₂²×C₄	—	13	1	no	—
1052	C₂²×C₄	—	13	1	no	—
1053	C₂²×C₄	—	13	1	no	—
1054	C₂²×C₄	—	13	1	no	—
1055	C₂²×C₄	—	26	2	no	—
1056	C₂²×C₄	—	26	2	no	—
1057	C₂²×C₄	—	26	2	no	—
1058	C₂²×C₄	—	26	2	no	—
1059	C₂²×C₄	—	26	2	no	—
1060	C₂²×C₄	—	26	2	no	—
1061	C₂²×C₄	—	26	2	no	—
1062	C₂²×C₄	—	26	2	no	—
1063	C₂²×C₄	—	26	2	no	—
1064	C₂²×C₄	—	26	2	no	—
1065	C₂²×C₄	—	26	2	no	—
1066	C₂²×C₄	—	26	2	no	—
1067	C₂²×C₄	—	26	2	no	—
1068	C₂²×C₄	—	26	2	no	—
1069	C₂²×C₄	—	26	2	no	—
1070	C₂²×C₄	—	26	2	no	—
1071	C₂²×C₄	—	26	2	no	—
1072	C₂²×C₄	—	26	2	no	—
1073	C₂²×C₄	—	26	2	no	—
1074	C₂²×C₄	—	52	1	no	—
1075	C₂²×C₄	—	52	1	no	—
1076	C₂²×C₄	—	52	1	no	—
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	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	13	4	no	—
1103	C₄⋊C₄	—	26	2	no	—
1104	C₄⋊C₄	—	26	2	no	—
1105	C₄⋊C₄	—	26	2	no	—
1106	C₄⋊C₄	—	26	2	no	—
1107	C₄⋊C₄	—	26	2	no	—
1108	C₄⋊C₄	—	26	2	no	—
1109	C₄⋊C₄	—	26	2	no	—
1110	C₄⋊C₄	—	26	2	no	—
1111	C₄⋊C₄	—	26	2	no	—
1112	C₄⋊C₄	—	26	2	no	—
1113	C₄⋊C₄	—	26	2	no	—
1114	C₄⋊C₄	—	26	2	no	—
1115	C₄⋊C₄	—	26	2	no	—
1116	C₄⋊C₄	—	26	2	no	—
1117	C₄⋊C₄	—	26	2	no	—
1118	C₄⋊C₄	—	26	2	no	—
1119	C₄⋊C₄	—	26	2	no	—
1120	C₄⋊C₄	—	26	2	no	—
1121	C₄⋊C₄	—	26	2	no	—
1122	C₄⋊C₄	—	26	2	no	—
1123	C₄⋊C₄	—	26	2	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	C₂²⋊C₄	—	13	4	no	—
1131	C₂²⋊C₄	—	26	2	no	—
1132	C₂²⋊C₄	—	26	2	no	—
1133	C₂²⋊C₄	—	26	2	no	—
1134	C₂²⋊C₄	—	26	2	no	—
1135	C₂²⋊C₄	—	26	2	no	—
1136	C₂²⋊C₄	—	26	2	no	—
1137	C₂²⋊C₄	—	26	2	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	—	52	1	no	—
1148	C₂²⋊C₄	—	52	1	no	—
1149	C₂²⋊C₄	—	52	1	no	—
1150	C₄²	—	2	2	no	—
1151	C₄²	—	2	2	no	—
1152	C₄²	—	2	2	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	2	2	no	—
1155	C₄²	—	13	4	no	—
1156	C₄²	—	26	2	no	—
1157	C₄²	—	26	2	no	—
1158	C₄²	—	26	2	no	—
1159	C₄²	—	26	2	no	—
1160	C₄²	—	26	2	no	—
1161	C₄²	—	26	2	no	—
1162	C₄²	—	26	2	no	—
1163	C₄²	—	26	2	no	—
1164	C₄²	—	26	2	no	—
1165	C₄²	—	26	2	no	—
1166	C₄²	—	26	2	no	—
1167	C₄²	—	26	2	no	—
1168	C₄²	—	26	2	no	—
1169	C₄²	—	26	2	no	—
1170	C₄²	—	26	2	no	—
1171	C₄²	—	26	2	no	—
1172	C₄²	—	26	2	no	—
1173	C₄²	—	26	2	no	—
1174	C₄²	—	26	2	no	—
1175	C₄²	—	52	1	no	—
1176	C₄²	—	52	1	no	—
1177	C₁₃	#34808	1	1	yes	characteristic, complemented, Sylow
1178	C₂³	—	13	2	no	—
1179	C₂³	—	13	2	no	—
1180	C₂³	—	13	2	no	—
1181	C₂³	—	26	1	no	—
1182	C₂³	—	26	1	no	—
1183	C₂³	—	26	1	no	—
1184	C₂³	—	26	1	no	—
1185	C₂³	—	26	1	no	—
1186	C₂³	—	26	1	no	—
1187	C₂³	—	26	1	no	—
1188	C₂³	—	26	1	no	—
1189	C₂³	—	26	1	no	—
1190	C₂³	—	26	1	no	—
1191	C₂³	—	26	1	no	—
1192	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1193	Q₈	—	52	4	no	—
1194	D₄	—	52	4	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	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	—	13	2	no	—
1236	C₂×C₄	—	13	2	no	—
1237	C₂×C₄	—	13	2	no	—
1238	C₂×C₄	—	13	2	no	—
1239	C₂×C₄	—	13	2	no	—
1240	C₂×C₄	—	13	2	no	—
1241	C₂×C₄	—	13	2	no	—
1242	C₂×C₄	—	13	2	no	—
1243	C₂×C₄	—	26	8	no	—
1244	C₂×C₄	—	26	8	no	—
1245	C₂×C₄	—	26	8	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	—	52	4	no	—
1281	C₂×C₄	—	52	4	no	—
1282	C₂×C₄	—	52	4	no	—
1283	C₂×C₄	—	52	4	no	—
1284	C₂×C₄	—	52	4	no	—
1285	C₂×C₄	#41×D₁₃	1	2	yes	—
1286	C₂×C₄	#41×D₁₃	1	2	yes	—
1287	C₂×C₄	#41×D₁₃	1	2	yes	—
1288	C₂×C₄	#41×D₁₃	1	2	yes	—
1289	C₂×C₄	#41×D₁₃	1	2	yes	—
1290	C₂²	—	13	4	no	—
1291	C₂²	—	26	2	no	—
1292	C₂²	—	26	2	no	—
1293	C₂²	—	26	2	no	—
1294	C₂²	—	26	2	no	—
1295	C₂²	—	26	2	no	—
1296	C₂²	—	26	2	no	—
1297	C₂²	—	52	1	no	—
1298	C₂²	—	52	1	no	—
1299	C₂²	—	52	1	no	—
1300	C₂²	—	52	1	no	—
1301	C₂²	—	52	1	no	—
1302	C₂²	—	52	1	no	—
1303	C₂²	—	52	1	no	—
1304	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1305	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1306	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1307	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1308	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1309	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1310	C₂²	#11719652	1	1	yes	characteristic
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	13	4	no	—
1327	C₄	—	26	2	no	—
1328	C₄	—	26	2	no	—
1329	C₄	—	26	2	no	—
1330	C₄	—	26	2	no	—
1331	C₄	—	26	2	no	—
1332	C₄	—	52	1	no	—
1333	C₄	—	52	1	no	—
1334	C₄	—	52	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	C₂	—	26	4	no	—
1341	C₂	—	104	1	no	—
1342	C₂	D₁₃×#529	1	1	yes	characteristic
1343	C₂	#13128130	1	1	yes	characteristic
1344	C₂	#13128268	1	1	yes	characteristic
1345	C₂	D₁₃×#552	1	1	yes	characteristic
1346	C₂	#13128389	1	1	yes	characteristic
1347	C₂	#13128397	1	1	yes	characteristic
1348	C₂	#13128450	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2524	C₂
prime radical	C₂²×D₅₂	C₂³
hypercenter	#2524	D₁₃
hypocenter	C₁₃	#34808
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2524

Complements

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

N	H ≅ G/N	type
1. #13119717	C₂	semidirect
2. #13119694	C₂	semidirect
3. #13119659	C₂	semidirect
4. #13119636	C₂	semidirect
5. #13119593	C₂	semidirect
6. #13119526	C₂	semidirect
7. #13119503	C₂	semidirect
9. #13119218	C₂	semidirect
11. #13119118	C₂	semidirect
13. #13118981	C₂	semidirect
14. #13118515	C₂	semidirect
16. #13118142	C₂	semidirect
17. #13118140	C₂	semidirect
18. #13118135	C₂	semidirect
19. #13118113	C₂	semidirect
20. #13117391	C₂	semidirect
21. #13117384	C₂	semidirect
22. #13117370	C₂	semidirect
25. #13117328	C₂	semidirect
26. #13117309	C₂	semidirect
28. #13117233	C₂	semidirect
29. C₄×#88146	C₂	semidirect
30. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2524	C₂	semidirect
509. #2524	D₁₃	semidirect
1177. C₁₃	#34808	semidirect

Maximal subgroups

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

subgroup	index
#13119717	2
#13119694	2
#13119659	2
#13119636	2
#13119593	2
#13119526	2
#13119503	2
#13119275	2
#13119218	2
#13119159	2
#13119118	2
#13119101	2
#13118981	2
#13118515	2
#13118236	2
#13118142	2
#13118140	2
#13118135	2
#13118113	2
#13117391	2
#13117384	2
#13117370	2
#13117357	2
#13117328	2
#13117309	2
#13117274	2
#13117233	2
C₄×#88146	2
C₄×C₄⋊C₄×D₁₃	2
C₁₃×#2524	2
#34808	13