Subgroups — #16030115

Order 3328.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13121031	C₂	1	1	yes	maximal, characteristic
2	#13121029	C₂	1	1	yes	maximal, characteristic
3	#13121028	C₂	1	1	yes	maximal, characteristic, complemented
4	#13121026	C₂	1	1	yes	maximal, characteristic, complemented
5	#13121024	C₂	1	1	yes	maximal, characteristic, complemented
6	#13121022	C₂	1	1	yes	maximal, characteristic, complemented
7	#13121007	C₂	1	1	yes	maximal, characteristic
8	#13121005	C₂	1	1	yes	maximal, characteristic
9	#13120959	C₂	1	1	yes	maximal, characteristic, complemented
10	#13120954	C₂	1	1	yes	maximal, characteristic, complemented
11	#13120814	C₂	1	1	yes	maximal, characteristic, complemented
12	#13120810	C₂	1	1	yes	maximal, characteristic, complemented
13	#13120665	C₂	1	1	yes	maximal, characteristic
14	#13120665	C₂	1	1	yes	maximal, characteristic
15	#13120662	C₂	1	1	yes	maximal, characteristic
16	#13120656	C₂	1	1	yes	maximal, characteristic
17	#13118143	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118143	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118130	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118127	C₂	1	1	yes	maximal, characteristic, complemented
21	#13118110	C₂	1	1	yes	maximal, characteristic
22	#13118110	C₂	1	1	yes	maximal, characteristic
23	#13118104	C₂	1	1	yes	maximal, characteristic
24	C₄×#88142	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#88198	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117239	C₂	1	1	yes	maximal, characteristic
29	#13117230	C₂	1	1	yes	maximal, characteristic
30	C₄×#88131	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2396	C₂	1	1	yes	maximal, characteristic
32	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
34	C₂×#88198	C₂²	1	1	yes	characteristic
35	C₂×#88180	C₂²	1	1	yes	characteristic
36	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
37	C₂×#88143	C₂²	1	1	yes	characteristic
38	C₂×#88143	C₂²	1	1	yes	characteristic
39	C₂×#88142	C₂²	1	1	yes	characteristic
40	C₂×#88131	C₂²	1	1	yes	characteristic
41	C₂×#88131	C₂²	1	1	yes	characteristic
42	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
45	C₁₃×#400	C₂²	1	1	yes	characteristic
46	C₁₃×#399	C₂²	1	1	yes	characteristic
47	C₁₃×#398	C₂²	1	1	yes	characteristic
48	C₁₃×#398	C₂²	1	1	yes	characteristic
49	C₁₃×#396	C₂²	1	1	yes	characteristic
50	C₁₃×#396	C₂²	1	1	yes	characteristic
51	C₁₃×#395	C₂²	1	1	yes	characteristic
52	C₁₃×#393	C₂²	1	1	yes	characteristic
53	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	#11718891	C₂²	1	1	yes	characteristic
59	#11718890	C₂²	1	1	yes	characteristic
60	#11718890	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
63	#11718647	C₂²	1	1	yes	characteristic
64	#11718646	C₂²	1	1	yes	characteristic
65	#11718645	C₂²	1	1	yes	characteristic
66	#11718645	C₂²	1	1	yes	characteristic
67	#11718645	C₂²	1	1	yes	characteristic
68	#11718645	C₂²	1	1	yes	characteristic
69	#11718645	C₂²	1	1	yes	characteristic
70	#11718645	C₂²	1	1	yes	characteristic
71	#11718644	C₂²	1	1	yes	characteristic
72	#11718644	C₂²	1	1	yes	characteristic
73	#11718644	C₂²	1	1	yes	characteristic
74	#11718644	C₂²	1	1	yes	characteristic
75	#11718643	C₂²	1	1	yes	characteristic
76	#11718643	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	#11718641	C₂²	1	1	yes	characteristic
81	#11718641	C₂²	1	1	yes	characteristic
82	#11718641	C₂²	1	1	yes	characteristic
83	#11718640	C₂²	1	1	yes	characteristic
84	#11718640	C₂²	1	1	yes	characteristic
85	#11718640	C₂²	1	1	yes	characteristic
86	#11718640	C₂²	1	1	yes	characteristic
87	#11718640	C₂²	1	1	yes	characteristic
88	#11718639	C₂²	1	1	yes	characteristic
89	#11718639	C₂²	1	1	yes	characteristic
90	#11718638	C₂²	1	1	yes	characteristic
91	#11718638	C₂²	1	1	yes	characteristic
92	#11718637	C₂²	1	1	yes	characteristic
93	#11718637	C₂²	1	1	yes	characteristic
94	#11718637	C₂²	1	1	yes	characteristic
95	#11718637	C₂²	1	1	yes	characteristic
96	#11718635	C₂²	1	1	yes	characteristic
97	#11718634	C₂²	1	1	yes	characteristic
98	#11718633	C₂²	1	1	yes	characteristic
99	#11718633	C₂²	1	1	yes	characteristic
100	#11718633	C₂²	1	1	yes	characteristic
101	#11718633	C₂²	1	1	yes	characteristic
102	#11718633	C₂²	1	1	yes	characteristic
103	#11718633	C₂²	1	1	yes	characteristic
104	#11718610	C₂²	1	1	yes	characteristic
105	#11718610	C₂²	1	1	yes	characteristic
106	#11718610	C₂²	1	1	yes	characteristic
107	#11718609	C₂²	1	1	yes	characteristic
108	#11718609	C₂²	1	1	yes	characteristic
109	#11718609	C₂²	1	1	yes	characteristic
110	#11718609	C₂²	1	1	yes	characteristic
111	#11718609	C₂²	1	1	yes	characteristic
112	#11718609	C₂²	1	1	yes	characteristic
113	#11718608	C₂²	1	1	yes	characteristic
114	#11718608	C₂²	1	1	yes	characteristic
115	#11718608	C₂²	1	1	yes	characteristic
116	#11718604	C₂²	1	1	yes	characteristic
117	#11718604	C₂²	1	1	yes	characteristic
118	#11718603	C₂²	1	1	yes	characteristic
119	#11718603	C₂²	1	1	yes	characteristic
120	#11718603	C₂²	1	1	yes	characteristic
121	#11718603	C₂²	1	1	yes	characteristic
122	#11718603	C₂²	1	1	yes	characteristic
123	#11718603	C₂²	1	1	yes	characteristic
124	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
125	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
126	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
127	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
128	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
129	#11718593	C₂²	1	1	yes	characteristic
130	#11718593	C₂²	1	1	yes	characteristic
131	C₄×#6101	C₂²	1	1	yes	characteristic
132	C₄×#6101	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	C₄×#6101	C₂²	1	1	yes	characteristic
144	C₄×#6101	C₂²	1	1	yes	characteristic
145	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
146	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
147	#11718322	C₂²	1	1	yes	characteristic
148	#11718322	C₂²	1	1	yes	characteristic
149	#11718321	C₂²	1	1	yes	characteristic
150	#11718321	C₂²	1	1	yes	characteristic
151	#11718320	C₂²	1	1	yes	characteristic
152	#11718320	C₂²	1	1	yes	characteristic
153	#11718319	C₂²	1	1	yes	characteristic
154	#11718319	C₂²	1	1	yes	characteristic
155	#11718319	C₂²	1	1	yes	characteristic
156	#11718319	C₂²	1	1	yes	characteristic
157	#11718318	C₂²	1	1	yes	characteristic
158	#11718318	C₂²	1	1	yes	characteristic
159	#11718318	C₂²	1	1	yes	characteristic
160	#11718318	C₂²	1	1	yes	characteristic
161	#11718318	C₂²	1	1	yes	characteristic
162	#11718318	C₂²	1	1	yes	characteristic
163	#11718317	C₂²	1	1	yes	characteristic
164	#11718317	C₂²	1	1	yes	characteristic
165	#11718317	C₂²	1	1	yes	characteristic
166	#11718317	C₂²	1	1	yes	characteristic
167	#11718314	C₂²	1	1	yes	characteristic
168	#11718314	C₂²	1	1	yes	characteristic
169	#11718313	C₂²	1	1	yes	characteristic
170	#11718313	C₂²	1	1	yes	characteristic
171	#11718312	C₂²	1	1	yes	characteristic
172	#11718312	C₂²	1	1	yes	characteristic
173	#11718311	C₂²	1	1	yes	characteristic
174	#11718311	C₂²	1	1	yes	characteristic
175	#11718311	C₂²	1	1	yes	characteristic
176	#11718311	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718308	C₂²	1	1	yes	characteristic
183	#11718308	C₂²	1	1	yes	characteristic
184	#11718308	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
194	C₄×Q₈×C₁₃	—	4	2	no	—
195	C₁₃×#117	—	4	2	no	—
196	C₂×C₁₃×C₄⋊C₄	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×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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	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	#88198	—	2	4	no	—
226	#88180	—	4	2	no	—
227	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₃	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×#6101	C₂³	1	1	yes	characteristic
239	C₂×#6101	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×#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×C₄×Dic₁₃	Q₈	1	8	yes	complemented
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	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	#88143	—	2	4	no	—
292	#88143	—	2	4	no	—
293	#88142	—	2	4	no	—
294	#88131	—	2	4	no	—
295	#88131	—	2	4	no	—
296	C₄×Dic₂₆	—	4	2	no	—
297	C₄×Dic₂₆	—	4	2	no	—
298	C₄×Dic₂₆	—	4	2	no	—
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	#34625	—	13	1	no	maximal, Sylow
356	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	—	2	2	no	—
358	C₂×Q₈×C₁₃	—	4	1	no	—
359	C₂×Q₈×C₁₃	—	4	1	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
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×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₃	—	2	2	no	—
378	C₂²×Dic₁₃	—	2	2	no	—
379	C₂²×Dic₁₃	—	4	1	no	—
380	C₂²×Dic₁₃	—	4	1	no	—
381	C₂²×Dic₁₃	C₂×Q₈	1	4	yes	—
382	C₂²×Dic₁₃	C₂×Q₈	1	4	yes	—
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	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	C₂×Dic₂₆	—	2	2	no	—
400	C₂×Dic₂₆	—	2	2	no	—
401	C₂×Dic₂₆	—	2	2	no	—
402	C₂×Dic₂₆	—	4	1	no	—
403	C₂×Dic₂₆	—	4	1	no	—
404	C₂×Dic₂₆	—	4	1	no	—
405	C₂×Dic₂₆	—	4	1	no	—
406	C₂×Dic₂₆	—	4	1	no	—
407	C₂×Dic₂₆	—	4	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	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×C₄⋊C₄	—	4	1	no	—
416	C₁₃×C₄⋊C₄	—	4	1	no	—
417	C₁₃×C₄⋊C₄	—	4	1	no	—
418	C₁₃×C₄⋊C₄	—	4	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	4	1	no	—
422	C₁₃×C₂²⋊C₄	—	4	1	no	—
423	C₁₃×C₂²⋊C₄	—	4	1	no	—
424	C₁₃×C₂²⋊C₄	—	4	1	no	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	2	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	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	C₄⋊Dic₁₃	—	2	2	no	—
438	C₄⋊Dic₁₃	—	2	2	no	—
439	C₄⋊Dic₁₃	—	2	2	no	—
440	C₄⋊Dic₁₃	—	4	1	no	—
441	C₄⋊Dic₁₃	—	4	1	no	—
442	C₄⋊Dic₁₃	—	4	1	no	—
443	C₄⋊Dic₁₃	—	4	1	no	—
444	C₄⋊Dic₁₃	—	4	1	no	—
445	C₄⋊Dic₁₃	—	4	1	no	—
446	C₄⋊Dic₁₃	—	4	1	no	—
447	C₄⋊Dic₁₃	—	4	1	no	—
448	#6101	—	2	2	no	—
449	#6101	—	2	2	no	—
450	#6101	—	2	2	no	—
451	#6101	—	2	2	no	—
452	#6101	—	2	2	no	—
453	#6101	—	2	2	no	—
454	#6101	—	2	2	no	—
455	#6101	—	2	2	no	—
456	#6101	—	2	2	no	—
457	#6101	—	2	2	no	—
458	#6101	—	2	2	no	—
459	#6101	—	2	2	no	—
460	#6101	—	2	2	no	—
461	#6101	—	2	2	no	—
462	#6101	—	2	2	no	—
463	#6101	—	2	2	no	—
464	#6101	—	2	2	no	—
465	#6101	—	2	2	no	—
466	#6101	—	4	1	no	—
467	#6101	—	4	1	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	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	—	4	1	no	—
491	C₄×Dic₁₃	—	4	1	no	—
492	C₄×Dic₁₃	—	4	1	no	—
493	C₄×Dic₁₃	—	4	1	no	—
494	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
495	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
496	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
497	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
498	C₄×Dic₁₃	#41	1	4	yes	—
499	C₄×Dic₁₃	#41	1	4	yes	—
500	#2667	—	13	1	no	—
501	#2667	—	13	1	no	—
502	#2666	—	13	1	no	—
503	#2666	—	13	1	no	—
504	#2666	—	13	1	no	—
505	#2666	—	13	1	no	—
506	#2665	—	13	1	no	—
507	#2665	—	13	1	no	—
508	#2660	—	13	1	no	—
509	#2660	—	13	1	no	—
510	#2647	—	13	1	no	—
511	#2647	—	13	1	no	—
512	#2629	—	13	1	no	—
513	#2629	—	13	1	no	—
514	#2628	—	13	1	no	—
515	#2628	—	13	1	no	—
516	#2402	—	13	1	no	—
517	#2402	—	13	1	no	—
518	#2399	—	13	1	no	—
519	#2399	—	13	1	no	—
520	#2396	—	13	1	no	—
521	#2396	—	13	1	no	—
522	#2396	—	13	1	no	—
523	#2396	D₁₃	1	1	yes	characteristic
524	C₄×C₄⋊Q₈	—	13	1	no	—
525	C₄×C₄⋊Q₈	—	13	1	no	—
526	C₄×#125	—	13	1	no	—
527	C₄×#125	—	13	1	no	—
528	#2285	—	13	1	no	—
529	#2283	—	13	1	no	—
530	C₄×#117	—	13	1	no	—
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	C₂²×Q₈	1	2	yes	—
538	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
539	Q₈×C₁₃	—	4	4	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	8	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
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	C₂²×Q₈	1	2	yes	—
578	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
579	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
580	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
581	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
582	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
583	C₂×Dic₁₃	—	2	1	no	—
584	C₂×Dic₁₃	—	2	1	no	—
585	C₂×Dic₁₃	—	2	1	no	—
586	C₂×Dic₁₃	—	2	1	no	—
587	C₂×Dic₁₃	—	2	1	no	—
588	C₂×Dic₁₃	—	2	1	no	—
589	C₂×Dic₁₃	—	2	1	no	—
590	C₂×Dic₁₃	—	2	1	no	—
591	C₂×Dic₁₃	—	2	1	no	—
592	C₂×Dic₁₃	—	2	1	no	—
593	C₂×Dic₁₃	—	2	8	no	—
594	C₂×Dic₁₃	—	2	1	no	—
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	—	4	4	no	—
625	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
626	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
627	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
628	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
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	Dic₂₆	—	4	4	no	—
634	Dic₂₆	—	4	4	no	—
635	Dic₂₆	—	4	4	no	—
636	C₂×C₄⋊Q₈	—	13	1	no	—
637	C₂×C₄⋊Q₈	—	13	1	no	—
638	C₂×#125	—	13	1	no	—
639	C₂×#125	—	13	1	no	—
640	C₂×C₄×Q₈	—	13	1	no	—
641	C₂×C₄×Q₈	—	13	1	no	—
642	C₂×C₄×Q₈	—	13	1	no	—
643	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
644	C₂×#117	—	13	1	no	—
645	C₂×#117	—	13	1	no	—
646	C₂×#117	—	13	1	no	—
647	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
648	C₂²×C₄²	—	13	1	no	—
649	#400	—	13	1	no	—
650	#400	—	13	1	no	—
651	#400	—	13	1	no	—
652	#400	—	13	1	no	—
653	#400	—	13	1	no	—
654	#400	—	13	1	no	—
655	#400	—	13	1	no	—
656	#400	—	13	1	no	—
657	#400	—	13	1	no	—
658	#400	—	13	1	no	—
659	#400	—	13	1	no	—
660	#400	C₂×D₁₃	1	1	yes	characteristic
661	#399	—	13	1	no	—
662	#399	—	13	1	no	—
663	#399	—	13	1	no	—
664	#399	C₂×D₁₃	1	1	yes	characteristic
665	#398	—	13	1	no	—
666	#398	—	13	1	no	—
667	#398	—	13	1	no	—
668	#398	—	13	1	no	—
669	#398	—	13	1	no	—
670	#398	—	13	1	no	—
671	#398	—	13	1	no	—
672	#398	—	13	1	no	—
673	#398	—	13	1	no	—
674	#398	—	13	1	no	—
675	#398	—	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	—	13	1	no	—
685	#398	—	13	1	no	—
686	#398	—	13	1	no	—
687	#398	C₂×D₁₃	1	1	yes	characteristic
688	#398	C₂×D₁₃	1	1	yes	characteristic
689	#396	—	13	1	no	—
690	#396	—	13	1	no	—
691	#396	—	13	1	no	—
692	#396	—	13	1	no	—
693	#396	—	13	1	no	—
694	#396	—	13	1	no	—
695	#396	C₂×D₁₃	1	1	yes	characteristic
696	#396	C₂×D₁₃	1	1	yes	characteristic
697	#395	—	13	1	no	—
698	#395	—	13	1	no	—
699	#395	—	13	1	no	—
700	#395	—	13	1	no	—
701	#395	—	13	1	no	—
702	#395	—	13	1	no	—
703	#395	—	13	1	no	—
704	#395	—	13	1	no	—
705	#395	—	13	1	no	—
706	#395	—	13	1	no	—
707	#395	—	13	1	no	—
708	#395	C₂×D₁₃	1	1	yes	characteristic
709	#393	—	13	1	no	—
710	#393	—	13	1	no	—
711	#393	—	13	1	no	—
712	#393	C₂×D₁₃	1	1	yes	characteristic
713	#391	—	13	1	no	—
714	#391	—	13	1	no	—
715	#391	—	13	1	no	—
716	#391	—	13	1	no	—
717	#389	—	13	1	no	—
718	#389	—	13	1	no	—
719	#389	—	13	1	no	—
720	#389	—	13	1	no	—
721	#389	—	13	1	no	—
722	#389	—	13	1	no	—
723	#389	—	13	1	no	—
724	#389	—	13	1	no	—
725	#389	—	13	1	no	—
726	#389	—	13	1	no	—
727	#389	—	13	1	no	—
728	#389	—	13	1	no	—
729	#387	—	13	1	no	—
730	#387	—	13	1	no	—
731	#387	—	13	1	no	—
732	#387	—	13	1	no	—
733	#387	—	13	1	no	—
734	#387	—	13	1	no	—
735	#387	—	13	1	no	—
736	#387	—	13	1	no	—
737	#384	—	13	1	no	—
738	#384	—	13	1	no	—
739	#384	—	13	1	no	—
740	#384	—	13	1	no	—
741	#383	—	13	1	no	—
742	#383	—	13	1	no	—
743	#382	—	13	1	no	—
744	#382	—	13	1	no	—
745	#382	—	13	1	no	—
746	#382	—	13	1	no	—
747	#382	—	13	1	no	—
748	#382	—	13	1	no	—
749	#381	—	13	1	no	—
750	#381	—	13	1	no	—
751	#380	—	13	1	no	—
752	#380	—	13	1	no	—
753	#380	—	13	1	no	—
754	#380	—	13	1	no	—
755	#380	—	13	1	no	—
756	#380	—	13	1	no	—
757	C₄×C₄⋊C₄	—	13	1	no	—
758	C₄×C₄⋊C₄	—	13	1	no	—
759	C₄×C₄⋊C₄	—	13	1	no	—
760	C₄×C₄⋊C₄	—	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	C₂×D₁₃	1	1	yes	characteristic
777	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
778	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
779	C₄×C₂²⋊C₄	—	13	1	no	—
780	C₄×C₂²⋊C₄	—	13	1	no	—
781	C₄×C₂²⋊C₄	—	13	1	no	—
782	C₄×C₂²⋊C₄	—	13	1	no	—
783	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
784	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
785	#376	—	13	1	no	—
786	#376	—	13	1	no	—
787	#376	—	13	1	no	—
788	#376	—	13	1	no	—
789	C₄³	—	13	1	no	—
790	C₄³	—	13	1	no	—
791	C₂²×C₁₃	—	2	2	no	—
792	C₂²×C₁₃	—	2	2	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	4	1	no	—
795	C₂²×C₁₃	—	4	1	no	—
796	C₂²×C₁₃	—	4	1	no	—
797	C₂²×C₁₃	—	4	1	no	—
798	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
799	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
800	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
801	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
802	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
803	C₂²×C₁₃	#585	1	1	yes	characteristic
804	C₂²×C₁₃	#585	1	1	yes	characteristic
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	—	2	2	no	—
807	C₄×C₁₃	—	2	2	no	—
808	C₄×C₁₃	—	4	1	no	—
809	C₄×C₁₃	—	4	1	no	—
810	C₄×C₁₃	—	4	1	no	—
811	C₄×C₁₃	—	4	1	no	—
812	C₄×C₁₃	—	4	1	no	—
813	C₄×C₁₃	—	4	1	no	—
814	C₄×C₁₃	—	4	1	no	—
815	C₄×C₁₃	—	4	1	no	—
816	C₄×C₁₃	—	4	1	no	—
817	C₄×C₁₃	—	4	1	no	—
818	C₄×C₁₃	#544	1	4	yes	—
819	Dic₁₃	—	2	2	no	—
820	Dic₁₃	—	2	2	no	—
821	Dic₁₃	—	2	2	no	—
822	Dic₁₃	—	2	2	no	—
823	Dic₁₃	—	2	2	no	—
824	Dic₁₃	—	4	1	no	—
825	Dic₁₃	—	4	1	no	—
826	Dic₁₃	—	4	1	no	—
827	Dic₁₃	—	4	1	no	—
828	Dic₁₃	—	4	1	no	—
829	Dic₁₃	—	4	1	no	—
830	Dic₁₃	—	4	1	no	—
831	Dic₁₃	—	4	1	no	—
832	Dic₁₃	—	4	1	no	—
833	Dic₁₃	—	4	1	no	—
834	Dic₁₃	#533	1	4	yes	—
835	C₂²×Q₈	—	13	1	no	—
836	C₂²×Q₈	—	13	1	no	—
837	C₂²×Q₈	—	13	1	no	—
838	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
839	C₂³×C₄	—	13	1	no	—
840	C₂³×C₄	—	13	1	no	—
841	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
842	C₄⋊Q₈	—	26	4	no	—
843	C₄⋊Q₈	—	26	4	no	—
844	#125	—	26	4	no	—
845	#125	—	26	4	no	—
846	C₄×Q₈	—	4	2	no	—
847	C₄×Q₈	—	52	2	no	—
848	C₄×Q₈	—	52	2	no	—
849	C₄×Q₈	—	52	2	no	—
850	#117	—	4	2	no	—
851	#117	—	26	4	no	—
852	#117	—	26	4	no	—
853	#117	—	52	2	no	—
854	C₂×C₄⋊C₄	—	13	1	no	—
855	C₂×C₄⋊C₄	—	13	1	no	—
856	C₂×C₄⋊C₄	—	13	1	no	—
857	C₂×C₄⋊C₄	—	13	1	no	—
858	C₂×C₄⋊C₄	—	13	1	no	—
859	C₂×C₄⋊C₄	—	13	1	no	—
860	C₂×C₄⋊C₄	—	13	1	no	—
861	C₂×C₄⋊C₄	—	13	1	no	—
862	C₂×C₄⋊C₄	—	13	1	no	—
863	C₂×C₄⋊C₄	—	13	1	no	—
864	C₂×C₄⋊C₄	—	13	1	no	—
865	C₂×C₄⋊C₄	—	13	1	no	—
866	C₂×C₄⋊C₄	—	13	1	no	—
867	C₂×C₄⋊C₄	—	13	1	no	—
868	C₂×C₄⋊C₄	—	13	1	no	—
869	C₂×C₄⋊C₄	—	13	1	no	—
870	C₂×C₄⋊C₄	—	13	1	no	—
871	C₂×C₄⋊C₄	—	13	1	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	C₂²×D₁₃	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	13	1	no	—
911	C₂×C₂²⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
922	C₂×C₄²	—	13	8	no	—
923	C₂×C₄²	—	13	1	no	—
924	C₂×C₄²	—	13	1	no	—
925	C₂×C₄²	—	13	1	no	—
926	C₂×C₄²	—	13	1	no	—
927	C₂×C₄²	—	13	1	no	—
928	C₂×C₄²	—	13	1	no	—
929	C₂×C₄²	—	13	1	no	—
930	C₂×C₄²	—	13	1	no	—
931	C₂×C₄²	—	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	C₂²×D₁₃	1	1	yes	characteristic
942	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
946	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
947	#95	—	13	1	no	—
948	#95	—	13	1	no	—
949	#95	—	13	1	no	—
950	#95	—	13	1	no	—
951	#95	—	13	1	no	—
952	#95	—	13	1	no	—
953	#95	—	13	1	no	—
954	#95	—	13	1	no	—
955	#95	—	13	1	no	—
956	#95	—	13	1	no	—
957	#95	—	13	1	no	—
958	#95	—	13	1	no	—
959	#95	—	13	1	no	—
960	#95	—	13	1	no	—
961	#95	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
994	#95	C₂²×D₁₃	1	1	yes	characteristic
995	#95	C₂²×D₁₃	1	1	yes	characteristic
996	#95	C₂²×D₁₃	1	1	yes	characteristic
997	#95	C₂²×D₁₃	1	1	yes	characteristic
998	#95	C₂²×D₁₃	1	1	yes	characteristic
999	#95	C₂²×D₁₃	1	1	yes	characteristic
1000	#95	C₂²×D₁₃	1	1	yes	characteristic
1001	#95	C₂²×D₁₃	1	1	yes	characteristic
1002	#95	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₁₃	—	4	2	no	—
1004	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
1005	C₂×C₁₃	C₂×#544	1	1	yes	characteristic
1006	C₂×C₁₃	#3458	1	1	yes	characteristic
1007	C₂×C₁₃	#3460	1	1	yes	characteristic
1008	C₂×C₁₃	#3460	1	1	yes	characteristic
1009	C₂×C₁₃	#3461	1	1	yes	characteristic
1010	C₂×C₁₃	#3461	1	1	yes	characteristic
1011	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1012	C₂×Q₈	—	2	2	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	26	2	no	—
1016	C₂×Q₈	—	26	2	no	—
1017	C₂×Q₈	—	26	2	no	—
1018	C₂×Q₈	—	52	1	no	—
1019	C₂×Q₈	—	52	1	no	—
1020	C₂×Q₈	—	52	1	no	—
1021	C₂×Q₈	—	52	1	no	—
1022	C₂×Q₈	—	52	1	no	—
1023	C₂×Q₈	—	52	1	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	13	1	no	—
1027	C₂²×C₄	—	13	4	no	—
1028	C₂²×C₄	—	13	1	no	—
1029	C₂²×C₄	—	13	1	no	—
1030	C₂²×C₄	—	13	1	no	—
1031	C₂²×C₄	—	13	1	no	—
1032	C₂²×C₄	—	13	1	no	—
1033	C₂²×C₄	—	13	4	no	—
1034	C₂²×C₄	—	13	1	no	—
1035	C₂²×C₄	—	13	1	no	—
1036	C₂²×C₄	—	13	1	no	—
1037	C₂²×C₄	—	13	1	no	—
1038	C₂²×C₄	—	13	1	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	—	26	2	no	—
1045	C₂²×C₄	—	26	2	no	—
1046	C₂²×C₄	—	52	1	no	—
1047	C₂²×C₄	—	52	1	no	—
1048	C₂²×C₄	Q₈×D₁₃	1	4	yes	—
1049	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	26	2	no	—
1075	C₄⋊C₄	—	26	2	no	—
1076	C₄⋊C₄	—	26	2	no	—
1077	C₄⋊C₄	—	26	2	no	—
1078	C₄⋊C₄	—	26	2	no	—
1079	C₄⋊C₄	—	26	2	no	—
1080	C₄⋊C₄	—	26	2	no	—
1081	C₄⋊C₄	—	26	2	no	—
1082	C₄⋊C₄	—	26	2	no	—
1083	C₄⋊C₄	—	26	2	no	—
1084	C₄⋊C₄	—	26	2	no	—
1085	C₄⋊C₄	—	26	2	no	—
1086	C₄⋊C₄	—	26	2	no	—
1087	C₄⋊C₄	—	26	2	no	—
1088	C₄⋊C₄	—	26	2	no	—
1089	C₄⋊C₄	—	26	2	no	—
1090	C₄⋊C₄	—	26	2	no	—
1091	C₄⋊C₄	—	26	2	no	—
1092	C₄⋊C₄	—	26	2	no	—
1093	C₄⋊C₄	—	26	2	no	—
1094	C₄⋊C₄	—	26	2	no	—
1095	C₄⋊C₄	—	52	1	no	—
1096	C₄⋊C₄	—	52	1	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	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	26	2	no	—
1126	C₂²⋊C₄	—	26	2	no	—
1127	C₂²⋊C₄	—	52	1	no	—
1128	C₂²⋊C₄	—	52	1	no	—
1129	C₂²⋊C₄	—	52	1	no	—
1130	C₂²⋊C₄	—	52	1	no	—
1131	C₄²	—	2	2	no	—
1132	C₄²	—	2	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	13	4	no	—
1138	C₄²	—	13	4	no	—
1139	C₄²	—	13	4	no	—
1140	C₄²	—	13	4	no	—
1141	C₄²	—	13	4	no	—
1142	C₄²	—	13	4	no	—
1143	C₄²	—	26	2	no	—
1144	C₄²	—	26	2	no	—
1145	C₄²	—	26	2	no	—
1146	C₄²	—	26	2	no	—
1147	C₄²	—	26	2	no	—
1148	C₄²	—	26	2	no	—
1149	C₄²	—	26	2	no	—
1150	C₄²	—	26	2	no	—
1151	C₄²	—	52	1	no	—
1152	C₄²	—	52	1	no	—
1153	C₄²	—	52	1	no	—
1154	C₄²	—	52	1	no	—
1155	C₁₃	#34625	1	1	yes	characteristic, complemented, Sylow
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	C₂×Q₈×D₁₃	1	2	yes	—
1163	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1164	Q₈	—	4	4	no	—
1165	Q₈	—	52	4	no	—
1166	Q₈	—	52	4	no	—
1167	Q₈	—	52	4	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	8	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	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	—	13	2	no	—
1206	C₂×C₄	—	13	2	no	—
1207	C₂×C₄	—	13	2	no	—
1208	C₂×C₄	—	13	2	no	—
1209	C₂×C₄	—	13	2	no	—
1210	C₂×C₄	—	13	2	no	—
1211	C₂×C₄	—	13	2	no	—
1212	C₂×C₄	—	13	2	no	—
1213	C₂×C₄	—	26	8	no	—
1214	C₂×C₄	—	26	1	no	—
1215	C₂×C₄	—	26	1	no	—
1216	C₂×C₄	—	26	1	no	—
1217	C₂×C₄	—	26	1	no	—
1218	C₂×C₄	—	26	1	no	—
1219	C₂×C₄	—	26	1	no	—
1220	C₂×C₄	—	26	1	no	—
1221	C₂×C₄	—	26	1	no	—
1222	C₂×C₄	—	26	1	no	—
1223	C₂×C₄	—	26	1	no	—
1224	C₂×C₄	—	26	1	no	—
1225	C₂×C₄	—	26	1	no	—
1226	C₂×C₄	—	26	1	no	—
1227	C₂×C₄	—	26	1	no	—
1228	C₂×C₄	—	26	1	no	—
1229	C₂×C₄	—	26	1	no	—
1230	C₂×C₄	—	26	1	no	—
1231	C₂×C₄	—	26	1	no	—
1232	C₂×C₄	—	26	1	no	—
1233	C₂×C₄	—	26	1	no	—
1234	C₂×C₄	—	26	1	no	—
1235	C₂×C₄	—	26	1	no	—
1236	C₂×C₄	—	26	1	no	—
1237	C₂×C₄	—	26	1	no	—
1238	C₂×C₄	—	26	1	no	—
1239	C₂×C₄	—	26	1	no	—
1240	C₂×C₄	—	26	1	no	—
1241	C₂×C₄	—	26	1	no	—
1242	C₂×C₄	—	26	1	no	—
1243	C₂×C₄	—	26	1	no	—
1244	C₂×C₄	—	26	1	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	—	52	4	no	—
1255	C₂×C₄	#88251	1	2	yes	—
1256	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1257	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1258	C₂×C₄	#41×D₁₃	1	2	yes	—
1259	C₂×C₄	#41×D₁₃	1	2	yes	—
1260	C₂×C₄	#88257	1	2	yes	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	C₂×#88251	1	1	yes	characteristic
1269	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1270	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1271	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1272	C₂²	C₂×#88257	1	1	yes	characteristic
1273	C₂²	#11719648	1	1	yes	characteristic
1274	C₂²	#11719648	1	1	yes	characteristic
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	2	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	13	4	no	—
1289	C₄	—	26	2	no	—
1290	C₄	—	26	2	no	—
1291	C₄	—	26	2	no	—
1292	C₄	—	26	2	no	—
1293	C₄	—	26	2	no	—
1294	C₄	—	52	1	no	—
1295	C₄	—	52	1	no	—
1296	C₄	—	52	1	no	—
1297	C₄	—	52	1	no	—
1298	C₄	—	52	1	no	—
1299	C₄	—	52	1	no	—
1300	C₄	—	52	1	no	—
1301	C₄	—	52	1	no	—
1302	C₄	—	52	1	no	—
1303	C₄	—	52	1	no	—
1304	C₄	#11719328	1	4	yes	—
1305	C₂	—	4	2	no	—
1306	C₂	D₁₃×#533	1	1	yes	characteristic
1307	C₂	C₂×#11719328	1	1	yes	characteristic
1308	C₂	#13128239	1	1	yes	characteristic
1309	C₂	#13128250	1	1	yes	characteristic
1310	C₂	#13128254	1	1	yes	characteristic
1311	C₂	#13128261	1	1	yes	characteristic
1312	C₂	#13128265	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₁₃×#2396	C₂
prime radical	C₂⁴×C₁₃	C₂⁴
hypercenter	#2396	D₁₃
hypocenter	C₁₃	#34625
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ #2396

Complements

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

N	H ≅ G/N	type
3. #13121028	C₂	semidirect
4. #13121026	C₂	semidirect
5. #13121024	C₂	semidirect
6. #13121022	C₂	semidirect
9. #13120959	C₂	semidirect
10. #13120954	C₂	semidirect
11. #13120814	C₂	semidirect
12. #13120810	C₂	semidirect
17. #13118143	C₂	semidirect
18. #13118143	C₂	semidirect
19. #13118130	C₂	semidirect
20. #13118127	C₂	semidirect
24. C₄×#88142	C₂	semidirect
25. C₄×#88198	C₂	semidirect
26. C₄×#88143	C₂	semidirect
27. C₄×#88143	C₂	semidirect
272. C₂×C₄×Dic₁₃	Q₈	semidirect
1155. C₁₃	#34625	semidirect

Maximal subgroups

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

subgroup	index
#13121031	2
#13121029	2
#13121028	2
#13121026	2
#13121024	2
#13121022	2
#13121007	2
#13121005	2
#13120959	2
#13120954	2
#13120814	2
#13120810	2
#13120665	2
#13120662	2
#13120656	2
#13118143	2
#13118130	2
#13118127	2
#13118110	2
#13118104	2
C₄×#88142	2
C₄×#88198	2
C₄×#88143	2
#13117239	2
#13117230	2
C₄×#88131	2
C₁₃×#2396	2
#34625	13