Subgroups — #16033409

Order 3328.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13120174	C₂	1	1	yes	maximal, characteristic, complemented
2	#13120159	C₂	1	1	yes	maximal, characteristic, complemented
3	#13120144	C₂	1	1	yes	maximal, characteristic, complemented
4	#13120129	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120116	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120099	C₂	1	1	yes	maximal, characteristic, complemented
7	#13120087	C₂	1	1	yes	maximal, characteristic, complemented
8	#13120062	C₂	1	1	yes	maximal, characteristic, complemented
9	#13120020	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119991	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119878	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119723	C₂	1	1	yes	maximal, characteristic
13	#13119219	C₂	1	1	yes	maximal, characteristic, complemented
14	#13119081	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118311	C₂	1	1	yes	maximal, characteristic, complemented
16	#13118294	C₂	1	1	yes	maximal, characteristic
17	#13118136	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118120	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118110	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118095	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88133	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88132	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88189	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88189	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117332	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117281	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117230	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117219	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₄×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×C₂²⋊Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic
32	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88189	C₂²	1	1	yes	characteristic
40	C₂×#88189	C₂²	1	1	yes	characteristic
41	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
42	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
43	C₂×#88180	C₂²	1	1	yes	characteristic
44	C₂×#88180	C₂²	1	1	yes	characteristic
45	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
46	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
47	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88133	C₂²	1	1	yes	characteristic
49	C₂×#88132	C₂²	1	1	yes	characteristic
50	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#386	C₂²	1	1	yes	characteristic
52	C₁₃×#386	C₂²	1	1	yes	characteristic
53	C₁₃×#386	C₂²	1	1	yes	characteristic
54	C₁₃×#385	C₂²	1	1	yes	characteristic
55	C₁₃×#385	C₂²	1	1	yes	characteristic
56	C₁₃×#385	C₂²	1	1	yes	characteristic
57	C₁₃×#379	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	#11718908	C₂²	1	1	yes	characteristic
62	#11718908	C₂²	1	1	yes	characteristic
63	#11718883	C₂²	1	1	yes	characteristic
64	#11718883	C₂²	1	1	yes	characteristic
65	#11718883	C₂²	1	1	yes	characteristic
66	#11718883	C₂²	1	1	yes	characteristic
67	#11718881	C₂²	1	1	yes	characteristic
68	#11718881	C₂²	1	1	yes	characteristic
69	#11718881	C₂²	1	1	yes	characteristic
70	#11718881	C₂²	1	1	yes	characteristic
71	#11718873	C₂²	1	1	yes	characteristic
72	#11718873	C₂²	1	1	yes	characteristic
73	#11718873	C₂²	1	1	yes	characteristic
74	#11718873	C₂²	1	1	yes	characteristic
75	#11718872	C₂²	1	1	yes	characteristic
76	#11718872	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
82	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
85	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
86	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
87	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
89	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
92	C₂×#88071	C₂²	1	1	yes	characteristic
93	C₂×#88071	C₂²	1	1	yes	characteristic
94	#11718647	C₂²	1	1	yes	characteristic, complemented
95	#11718644	C₂²	1	1	yes	characteristic, complemented
96	#11718643	C₂²	1	1	yes	characteristic, complemented
97	#11718643	C₂²	1	1	yes	characteristic, complemented
98	#11718642	C₂²	1	1	yes	characteristic, complemented
99	#11718642	C₂²	1	1	yes	characteristic, complemented
100	#11718639	C₂²	1	1	yes	characteristic, complemented
101	#11718639	C₂²	1	1	yes	characteristic, complemented
102	#11718639	C₂²	1	1	yes	characteristic, complemented
103	#11718639	C₂²	1	1	yes	characteristic, complemented
104	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
105	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
106	#11718614	C₂²	1	1	yes	characteristic
107	#11718614	C₂²	1	1	yes	characteristic
108	#11718614	C₂²	1	1	yes	characteristic, complemented
109	#11718614	C₂²	1	1	yes	characteristic, complemented
110	#11718613	C₂²	1	1	yes	characteristic
111	#11718613	C₂²	1	1	yes	characteristic
112	#11718613	C₂²	1	1	yes	characteristic
113	#11718613	C₂²	1	1	yes	characteristic
114	#11718612	C₂²	1	1	yes	characteristic
115	#11718612	C₂²	1	1	yes	characteristic
116	#11718612	C₂²	1	1	yes	characteristic
117	#11718611	C₂²	1	1	yes	characteristic
118	#11718611	C₂²	1	1	yes	characteristic, complemented
119	#11718611	C₂²	1	1	yes	characteristic, complemented
120	#11718610	C₂²	1	1	yes	characteristic
121	#11718610	C₂²	1	1	yes	characteristic, complemented
122	#11718609	C₂²	1	1	yes	characteristic
123	#11718609	C₂²	1	1	yes	characteristic
124	#11718609	C₂²	1	1	yes	characteristic
125	#11718608	C₂²	1	1	yes	characteristic
126	#11718608	C₂²	1	1	yes	characteristic
127	#11718608	C₂²	1	1	yes	characteristic, complemented
128	#11718607	C₂²	1	1	yes	characteristic
129	#11718607	C₂²	1	1	yes	characteristic
130	#11718607	C₂²	1	1	yes	characteristic, complemented
131	#11718606	C₂²	1	1	yes	characteristic
132	#11718606	C₂²	1	1	yes	characteristic
133	#11718606	C₂²	1	1	yes	characteristic
134	#11718605	C₂²	1	1	yes	characteristic
135	#11718605	C₂²	1	1	yes	characteristic
136	#11718605	C₂²	1	1	yes	characteristic
137	#11718605	C₂²	1	1	yes	characteristic
138	#11718605	C₂²	1	1	yes	characteristic
139	#11718605	C₂²	1	1	yes	characteristic, complemented
140	#11718605	C₂²	1	1	yes	characteristic, complemented
141	#11718604	C₂²	1	1	yes	characteristic
142	#11718604	C₂²	1	1	yes	characteristic
143	#11718604	C₂²	1	1	yes	characteristic
144	#11718604	C₂²	1	1	yes	characteristic, complemented
145	#11718603	C₂²	1	1	yes	characteristic
146	#11718603	C₂²	1	1	yes	characteristic
147	#11718603	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
154	#11718593	C₂²	1	1	yes	characteristic, complemented
155	#11718593	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
157	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
158	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
159	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
160	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
161	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
162	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
163	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
164	#11718322	C₂²	1	1	yes	characteristic, complemented
165	#11718321	C₂²	1	1	yes	characteristic, complemented
166	#11718321	C₂²	1	1	yes	characteristic, complemented
167	#11718320	C₂²	1	1	yes	characteristic, complemented
168	#11718319	C₂²	1	1	yes	characteristic, complemented
169	#11718318	C₂²	1	1	yes	characteristic, complemented
170	#11718317	C₂²	1	1	yes	characteristic, complemented
171	#11718316	C₂²	1	1	yes	characteristic, complemented
172	#11718316	C₂²	1	1	yes	characteristic, complemented
173	#11718315	C₂²	1	1	yes	characteristic, complemented
174	#11718315	C₂²	1	1	yes	characteristic, complemented
175	#11718315	C₂²	1	1	yes	characteristic, complemented
176	#11718314	C₂²	1	1	yes	characteristic, complemented
177	#11718314	C₂²	1	1	yes	characteristic, complemented
178	#11718314	C₂²	1	1	yes	characteristic, complemented
179	#11718313	C₂²	1	1	yes	characteristic, complemented
180	#11718312	C₂²	1	1	yes	characteristic, complemented
181	#11718312	C₂²	1	1	yes	characteristic, complemented
182	#11718312	C₂²	1	1	yes	characteristic, complemented
183	#11718311	C₂²	1	1	yes	characteristic, complemented
184	#11718311	C₂²	1	1	yes	characteristic, complemented
185	#11718308	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	—	2	4	no	—
192	C₂³×C₄×C₁₃	—	2	4	no	—
193	C₂³×C₄×C₁₃	—	4	2	no	—
194	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
206	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
208	C₁₃×#120	—	2	4	no	—
209	C₄×D₄×C₁₃	—	2	4	no	—
210	C₄×D₄×C₁₃	—	2	4	no	—
211	C₄×D₄×C₁₃	—	4	2	no	—
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	—	2	4	no	—
231	C₂×C₂²⋊Dic₁₃	—	2	4	no	—
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	#88189	—	2	4	no	—
259	#88189	—	2	4	no	—
260	D₄×Dic₁₃	—	2	4	no	—
261	D₄×Dic₁₃	—	2	4	no	—
262	#88180	—	2	4	no	—
263	#88180	—	4	2	no	—
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×#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×#6101	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	—	2	4	no	—
288	C₂×C₄×Dic₁₃	—	4	2	no	—
289	C₂×C₄×Dic₁₃	—	4	2	no	—
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	#88133	—	2	4	no	—
309	#88132	—	2	4	no	—
310	C₄×Dic₂₆	—	4	2	no	—
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	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#34849	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	—	2	2	no	—
365	C₂⁴×C₁₃	—	2	2	no	—
366	C₂⁴×C₁₃	—	2	2	no	—
367	C₂⁴×C₁₃	—	2	2	no	—
368	C₂⁴×C₁₃	—	2	2	no	—
369	C₂⁴×C₁₃	—	4	1	no	—
370	C₂⁴×C₁₃	—	4	1	no	—
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	#41	1	4	yes	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	2	no	—
396	C₂²×C₄×C₁₃	—	2	2	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	2	2	no	—
400	C₂²×C₄×C₁₃	—	4	1	no	—
401	C₂²×C₄×C₁₃	—	4	1	no	—
402	C₂²×C₄×C₁₃	—	4	1	no	—
403	C₂²×C₄×C₁₃	—	4	16	no	—
404	C₂²×C₄×C₁₃	#41	1	4	yes	—
405	C₂²×C₄×C₁₃	#41	1	4	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	2	2	no	—
422	C₂²×Dic₁₃	—	2	2	no	—
423	C₂²×Dic₁₃	—	2	2	no	—
424	C₂²×Dic₁₃	—	2	2	no	—
425	C₂²×Dic₁₃	—	2	2	no	—
426	C₂²×Dic₁₃	—	2	2	no	—
427	C₂²×Dic₁₃	—	4	1	no	—
428	C₂²×Dic₁₃	—	4	1	no	—
429	C₂²×Dic₁₃	—	4	1	no	—
430	C₂²×Dic₁₃	—	4	1	no	—
431	C₂²×Dic₁₃	—	4	1	no	—
432	C₂²×Dic₁₃	—	4	1	no	—
433	C₂²×Dic₁₃	—	4	1	no	—
434	C₂²×Dic₁₃	#41	1	4	yes	—
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂×Dic₂₆	—	2	2	no	—
452	C₂×Dic₂₆	—	4	1	no	—
453	C₂×Dic₂₆	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	4	1	no	—
467	C₁₃×C₂²⋊C₄	—	4	1	no	—
468	C₁₃×C₂²⋊C₄	—	4	1	no	—
469	C₄²×C₁₃	—	2	2	no	—
470	C₄²×C₁₃	—	2	2	no	—
471	C₄²×C₁₃	—	2	2	no	—
472	C₂²⋊Dic₁₃	—	2	2	no	—
473	C₂²⋊Dic₁₃	—	2	2	no	—
474	C₂²⋊Dic₁₃	—	2	2	no	—
475	C₂²⋊Dic₁₃	—	2	2	no	—
476	C₂²⋊Dic₁₃	—	2	2	no	—
477	C₂²⋊Dic₁₃	—	2	2	no	—
478	C₂²⋊Dic₁₃	—	2	2	no	—
479	C₂²⋊Dic₁₃	—	2	2	no	—
480	C₂²⋊Dic₁₃	—	2	2	no	—
481	C₂²⋊Dic₁₃	—	2	2	no	—
482	C₂²⋊Dic₁₃	—	2	2	no	—
483	C₂²⋊Dic₁₃	—	2	2	no	—
484	C₂²⋊Dic₁₃	—	2	2	no	—
485	C₂²⋊Dic₁₃	—	2	2	no	—
486	C₂²⋊Dic₁₃	—	2	2	no	—
487	C₂²⋊Dic₁₃	—	2	2	no	—
488	C₂²⋊Dic₁₃	—	2	2	no	—
489	C₂²⋊Dic₁₃	—	2	2	no	—
490	C₂²⋊Dic₁₃	—	2	2	no	—
491	C₂²⋊Dic₁₃	—	2	2	no	—
492	C₂²⋊Dic₁₃	—	4	1	no	—
493	C₂²⋊Dic₁₃	—	4	1	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₂²⋊Dic₁₃	—	4	1	no	—
496	C₂²⋊Dic₁₃	—	4	1	no	—
497	C₂²⋊Dic₁₃	#41	1	4	yes	—
498	C₄⋊Dic₁₃	—	2	2	no	—
499	C₄⋊Dic₁₃	—	2	2	no	—
500	C₄⋊Dic₁₃	—	2	2	no	—
501	C₄⋊Dic₁₃	—	2	2	no	—
502	C₄⋊Dic₁₃	—	2	2	no	—
503	C₄⋊Dic₁₃	—	2	2	no	—
504	C₄⋊Dic₁₃	—	4	1	no	—
505	C₄⋊Dic₁₃	—	4	1	no	—
506	C₄⋊Dic₁₃	—	4	1	no	—
507	#6101	—	2	2	no	—
508	#6101	—	2	2	no	—
509	#6101	—	2	2	no	—
510	#6101	—	2	2	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	4	1	no	—
516	#6101	—	4	1	no	—
517	#6101	—	4	1	no	—
518	#6101	—	4	1	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	C₄×Dic₁₃	—	2	2	no	—
522	C₄×Dic₁₃	—	2	2	no	—
523	C₄×Dic₁₃	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	2	2	no	—
528	C₄×Dic₁₃	—	2	2	no	—
529	C₄×Dic₁₃	—	2	2	no	—
530	C₄×Dic₁₃	—	2	2	no	—
531	C₄×Dic₁₃	—	2	2	no	—
532	C₄×Dic₁₃	—	2	2	no	—
533	C₄×Dic₁₃	—	2	2	no	—
534	C₄×Dic₁₃	—	4	1	no	—
535	C₄×Dic₁₃	—	4	1	no	—
536	C₄×Dic₁₃	—	4	1	no	—
537	C₄×Dic₁₃	—	4	1	no	—
538	C₄×Dic₁₃	—	4	1	no	—
539	#2578	—	13	1	no	—
540	#2577	—	13	1	no	—
541	#2576	—	13	1	no	—
542	#2575	—	13	1	no	—
543	#2574	—	13	1	no	—
544	#2573	—	13	1	no	—
545	#2572	—	13	1	no	—
546	#2569	—	13	1	no	—
547	#2564	—	13	1	no	—
548	#2561	—	13	1	no	—
549	#2553	—	13	1	no	—
550	#2534	—	13	1	no	—
551	#2493	—	13	1	no	—
552	#2480	—	13	1	no	—
553	#2419	—	13	1	no	—
554	#2418	—	13	1	no	—
555	#2401	—	13	1	no	—
556	#2398	—	13	1	no	—
557	#2396	—	13	1	no	—
558	#2395	—	13	1	no	—
559	C₄×#126	—	13	1	no	—
560	C₄×C₂²⋊Q₈	—	13	1	no	—
561	C₄×#123	—	13	1	no	—
562	C₄×#123	—	13	1	no	—
563	C₄×#120	D₁₃	1	1	yes	characteristic
564	#2298	—	13	1	no	—
565	#2290	—	13	1	no	—
566	#2283	—	13	1	no	—
567	#2280	—	13	1	no	—
568	C₄²×D₄	—	13	1	no	—
569	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	—	2	8	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	4	4	no	—
594	C₂³×C₁₃	—	4	4	no	—
595	C₂³×C₁₃	—	4	4	no	—
596	C₂³×C₁₃	—	4	4	no	—
597	C₂³×C₁₃	—	4	4	no	—
598	C₂³×C₁₃	—	4	4	no	—
599	C₂³×C₁₃	C₂×#41	1	2	yes	—
600	C₂³×C₁₃	C₂×#41	1	2	yes	—
601	C₂³×C₁₃	C₂×#41	1	2	yes	—
602	C₂³×C₁₃	C₂×#41	1	2	yes	—
603	C₂³×C₁₃	C₂×#41	1	2	yes	—
604	C₂³×C₁₃	C₂×#41	1	2	yes	—
605	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
606	D₄×C₁₃	—	2	8	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	4	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	8	no	—
616	C₂×C₄×C₁₃	—	2	8	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	4	4	no	—
639	C₂×C₄×C₁₃	—	4	4	no	—
640	C₂×C₄×C₁₃	—	4	4	no	—
641	C₂×C₄×C₁₃	—	4	4	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
644	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
645	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
646	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
647	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	4	4	no	—
694	C₂×Dic₁₃	—	4	4	no	—
695	C₂×Dic₁₃	—	4	4	no	—
696	C₂×Dic₁₃	—	4	4	no	—
697	C₂×Dic₁₃	—	4	4	no	—
698	C₂×Dic₁₃	—	4	4	no	—
699	C₂×Dic₁₃	C₂×#41	1	2	yes	—
700	C₂×Dic₁₃	C₂×#41	1	2	yes	—
701	C₂×Dic₁₃	C₂×#41	1	2	yes	—
702	C₂×Dic₁₃	C₂×#41	1	2	yes	—
703	Dic₂₆	—	4	4	no	—
704	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic
705	C₂×#126	—	13	1	no	—
706	C₂×#123	—	13	1	no	—
707	C₂×#123	—	13	1	no	—
708	C₂×C₂²⋊Q₈	—	13	1	no	—
709	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
710	C₂×C₄×Q₈	—	13	1	no	—
711	C₂×C₄×D₄	—	13	1	no	—
712	C₂×C₄×D₄	—	13	1	no	—
713	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
714	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
715	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
716	C₂×#117	—	13	1	no	—
717	C₂×#117	—	13	1	no	—
718	C₂²×C₂²⋊C₄	—	13	1	no	—
719	C₂²×C₂²⋊C₄	—	13	1	no	—
720	C₂²×C₄²	—	13	1	no	—
721	C₂²×C₄²	—	13	1	no	—
722	C₂²×C₄²	—	13	1	no	—
723	#401	—	13	1	no	—
724	#400	—	13	1	no	—
725	#400	—	13	1	no	—
726	#400	—	13	1	no	—
727	#400	—	13	1	no	—
728	#400	—	13	1	no	—
729	#400	—	13	1	no	—
730	#400	—	13	1	no	—
731	#399	—	13	1	no	—
732	#399	—	13	1	no	—
733	#398	—	13	1	no	—
734	#398	—	13	1	no	—
735	#398	—	13	1	no	—
736	#397	—	13	1	no	—
737	#397	—	13	1	no	—
738	#397	—	13	1	no	—
739	#397	—	13	1	no	—
740	#397	—	13	1	no	—
741	#397	—	13	1	no	—
742	#397	—	13	1	no	—
743	#397	—	13	1	no	—
744	#396	—	13	1	no	—
745	#396	—	13	1	no	—
746	#396	—	13	1	no	—
747	#395	—	13	1	no	—
748	#394	—	13	1	no	—
749	#394	—	13	1	no	—
750	#394	—	13	1	no	—
751	#394	—	13	1	no	—
752	#393	—	13	1	no	—
753	#393	—	13	1	no	—
754	#393	—	13	1	no	—
755	#391	—	13	1	no	—
756	#389	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
760	#388	—	13	1	no	—
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	—	13	1	no	—
768	#388	—	13	1	no	—
769	#388	—	13	1	no	—
770	#387	—	13	1	no	—
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
784	#387	—	13	1	no	—
785	#386	—	13	1	no	—
786	#386	—	13	1	no	—
787	#386	—	13	1	no	—
788	#386	—	13	1	no	—
789	#386	C₂×D₁₃	1	1	yes	characteristic
790	#386	C₂×D₁₃	1	1	yes	characteristic
791	#386	C₂×D₁₃	1	1	yes	characteristic
792	#385	—	13	1	no	—
793	#385	—	13	1	no	—
794	#385	—	13	1	no	—
795	#385	—	13	1	no	—
796	#385	—	13	1	no	—
797	#385	—	13	1	no	—
798	#385	C₂×D₁₃	1	1	yes	characteristic
799	#385	C₂×D₁₃	1	1	yes	characteristic
800	#385	C₂×D₁₃	1	1	yes	characteristic
801	#383	—	13	1	no	—
802	#383	—	13	1	no	—
803	#383	—	13	1	no	—
804	#382	—	13	1	no	—
805	#382	—	13	1	no	—
806	#381	—	13	1	no	—
807	#381	—	13	1	no	—
808	#381	—	13	1	no	—
809	#381	—	13	1	no	—
810	#381	—	13	1	no	—
811	#381	—	13	1	no	—
812	#380	—	13	1	no	—
813	#380	—	13	1	no	—
814	#380	—	13	1	no	—
815	#380	—	13	1	no	—
816	#380	—	13	1	no	—
817	#380	—	13	1	no	—
818	#380	—	13	1	no	—
819	#379	—	13	1	no	—
820	#379	—	13	1	no	—
821	#379	C₂×D₁₃	1	1	yes	characteristic
822	C₄×C₄⋊C₄	—	13	1	no	—
823	C₄×C₄⋊C₄	—	13	1	no	—
824	C₄×C₄⋊C₄	—	13	1	no	—
825	C₄×C₄⋊C₄	—	13	1	no	—
826	C₄×C₄⋊C₄	—	13	1	no	—
827	C₄×C₄⋊C₄	—	13	1	no	—
828	C₄×C₄⋊C₄	—	13	1	no	—
829	C₄×C₄⋊C₄	—	13	1	no	—
830	C₄×C₄⋊C₄	—	13	1	no	—
831	C₄×C₄⋊C₄	—	13	1	no	—
832	C₄×C₂²⋊C₄	—	13	1	no	—
833	C₄×C₂²⋊C₄	—	13	1	no	—
834	C₄×C₂²⋊C₄	—	13	1	no	—
835	C₄×C₂²⋊C₄	—	13	1	no	—
836	C₄×C₂²⋊C₄	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₄×C₂²⋊C₄	—	13	1	no	—
846	C₄×C₂²⋊C₄	—	13	1	no	—
847	C₄×C₂²⋊C₄	—	13	1	no	—
848	C₄×C₂²⋊C₄	—	13	1	no	—
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
852	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
853	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
854	#376	—	13	1	no	—
855	#376	—	13	1	no	—
856	C₂×#95	—	13	1	no	—
857	C₂×#95	—	13	1	no	—
858	C₄³	—	13	1	no	—
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	2	2	no	—
863	C₂²×C₁₃	—	2	2	no	—
864	C₂²×C₁₃	—	2	2	no	—
865	C₂²×C₁₃	—	2	2	no	—
866	C₂²×C₁₃	—	2	2	no	—
867	C₂²×C₁₃	—	2	2	no	—
868	C₂²×C₁₃	—	2	2	no	—
869	C₂²×C₁₃	—	2	2	no	—
870	C₂²×C₁₃	—	2	2	no	—
871	C₂²×C₁₃	—	2	2	no	—
872	C₂²×C₁₃	—	2	2	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	4	16	no	—
875	C₂²×C₁₃	—	4	1	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	—	4	1	no	—
878	C₂²×C₁₃	—	4	1	no	—
879	C₂²×C₁₃	—	4	1	no	—
880	C₂²×C₁₃	—	4	1	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	—	4	1	no	—
884	C₂²×C₁₃	—	4	1	no	—
885	C₂²×C₁₃	—	4	1	no	—
886	C₂²×C₁₃	—	4	1	no	—
887	C₂²×C₁₃	#529	1	4	yes	—
888	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
889	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
890	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
891	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
892	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
893	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
894	C₂²×C₁₃	#585	1	1	yes	characteristic
895	C₄×C₁₃	—	2	2	no	—
896	C₄×C₁₃	—	2	2	no	—
897	C₄×C₁₃	—	2	2	no	—
898	C₄×C₁₃	—	4	1	no	—
899	C₄×C₁₃	—	4	1	no	—
900	C₄×C₁₃	—	4	1	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₄×C₁₃	—	4	1	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	#551	1	4	yes	—
906	Dic₁₃	—	2	2	no	—
907	Dic₁₃	—	2	2	no	—
908	Dic₁₃	—	2	2	no	—
909	Dic₁₃	—	2	2	no	—
910	Dic₁₃	—	4	1	no	—
911	Dic₁₃	—	4	1	no	—
912	Dic₁₃	—	4	1	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	Dic₁₃	—	4	1	no	—
916	Dic₁₃	—	4	1	no	—
917	Dic₁₃	—	4	1	no	—
918	Dic₁₃	—	4	1	no	—
919	Dic₁₃	—	4	1	no	—
920	Dic₁₃	—	4	1	no	—
921	Dic₁₃	—	4	1	no	—
922	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
923	C₂²×Q₈	—	13	1	no	—
924	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
925	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
926	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
927	C₂³×C₄	—	2	4	no	—
928	C₂³×C₄	—	2	4	no	—
929	C₂³×C₄	—	4	2	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	13	1	no	—
934	C₂³×C₄	—	13	1	no	—
935	C₂³×C₄	—	13	1	no	—
936	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
943	#126	—	26	4	no	—
944	#123	—	26	4	no	—
945	#123	—	26	4	no	—
946	C₂²⋊Q₈	—	26	4	no	—
947	#120	—	2	4	no	—
948	C₄×Q₈	—	52	2	no	—
949	C₄×D₄	—	2	4	no	—
950	C₄×D₄	—	2	4	no	—
951	C₄×D₄	—	4	2	no	—
952	C₄×D₄	—	26	4	no	—
953	C₄×D₄	—	26	4	no	—
954	#117	—	26	4	no	—
955	#117	—	52	2	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	13	1	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	26	4	no	—
1009	C₂×C₂²⋊C₄	—	26	4	no	—
1010	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	26	4	no	—
1041	C₂×C₄²	—	52	2	no	—
1042	C₂×C₄²	—	52	2	no	—
1043	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	—	13	1	no	—
1088	#95	—	13	1	no	—
1089	#95	—	13	1	no	—
1090	#95	—	13	1	no	—
1091	#95	—	13	1	no	—
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	#95	C₂²×D₁₃	1	1	yes	characteristic
1097	#95	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₁₃	—	2	4	no	—
1099	C₂×C₁₃	—	4	2	no	—
1100	C₂×C₁₃	—	4	2	no	—
1101	C₂×C₁₃	—	4	2	no	—
1102	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1103	C₂×C₁₃	#3444	1	1	yes	characteristic
1104	C₂×C₁₃	#3459	1	1	yes	characteristic
1105	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1106	C₂×C₁₃	#3475	1	1	yes	characteristic
1107	C₂×C₁₃	#3475	1	1	yes	characteristic
1108	C₂×C₁₃	#3481	1	1	yes	characteristic
1109	C₂⁴	—	2	2	no	—
1110	C₂⁴	—	2	2	no	—
1111	C₂⁴	—	2	2	no	—
1112	C₂⁴	—	2	2	no	—
1113	C₂⁴	—	2	2	no	—
1114	C₂⁴	—	4	1	no	—
1115	C₂⁴	—	4	1	no	—
1116	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1117	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂×Q₈	—	26	2	no	—
1121	C₂×Q₈	—	52	1	no	—
1122	C₂×Q₈	—	52	1	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	#6127	1	4	yes	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	16	no	—
1152	C₂²×C₄	—	13	1	no	—
1153	C₂²×C₄	—	13	1	no	—
1154	C₂²×C₄	—	13	1	no	—
1155	C₂²×C₄	—	13	1	no	—
1156	C₂²×C₄	—	13	4	no	—
1157	C₂²×C₄	—	13	1	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	1	no	—
1162	C₂²×C₄	—	13	1	no	—
1163	C₂²×C₄	—	13	1	no	—
1164	C₂²×C₄	—	13	1	no	—
1165	C₂²×C₄	—	13	1	no	—
1166	C₂²×C₄	—	13	1	no	—
1167	C₂²×C₄	—	13	1	no	—
1168	C₂²×C₄	—	13	1	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	—	26	2	no	—
1179	C₂²×C₄	—	52	1	no	—
1180	C₂²×C₄	—	52	1	no	—
1181	C₂²×C₄	—	52	1	no	—
1182	C₂²×C₄	—	52	1	no	—
1183	C₂²×C₄	—	52	1	no	—
1184	C₂²×C₄	—	52	1	no	—
1185	C₂²×C₄	—	52	1	no	—
1186	C₂²×C₄	#6129	1	4	yes	—
1187	C₂²×C₄	#6129	1	4	yes	—
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	26	2	no	—
1203	C₄⋊C₄	—	26	2	no	—
1204	C₄⋊C₄	—	26	2	no	—
1205	C₄⋊C₄	—	26	2	no	—
1206	C₄⋊C₄	—	26	2	no	—
1207	C₄⋊C₄	—	26	2	no	—
1208	C₄⋊C₄	—	26	2	no	—
1209	C₄⋊C₄	—	26	2	no	—
1210	C₄⋊C₄	—	26	2	no	—
1211	C₄⋊C₄	—	26	2	no	—
1212	C₄⋊C₄	—	26	2	no	—
1213	C₄⋊C₄	—	26	2	no	—
1214	C₄⋊C₄	—	26	2	no	—
1215	C₄⋊C₄	—	26	2	no	—
1216	C₄⋊C₄	—	52	1	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₄⋊C₄	—	52	1	no	—
1220	C₄⋊C₄	—	52	1	no	—
1221	C₄⋊C₄	—	52	1	no	—
1222	C₄⋊C₄	—	52	1	no	—
1223	C₄⋊C₄	—	52	1	no	—
1224	C₄⋊C₄	—	52	1	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	13	4	no	—
1238	C₂²⋊C₄	—	26	2	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	26	2	no	—
1242	C₂²⋊C₄	—	26	2	no	—
1243	C₂²⋊C₄	—	26	2	no	—
1244	C₂²⋊C₄	—	26	2	no	—
1245	C₂²⋊C₄	—	26	2	no	—
1246	C₂²⋊C₄	—	26	2	no	—
1247	C₂²⋊C₄	—	26	2	no	—
1248	C₂²⋊C₄	—	26	2	no	—
1249	C₂²⋊C₄	—	26	2	no	—
1250	C₂²⋊C₄	—	26	2	no	—
1251	C₂²⋊C₄	—	26	2	no	—
1252	C₂²⋊C₄	—	26	2	no	—
1253	C₂²⋊C₄	—	26	2	no	—
1254	C₂²⋊C₄	—	26	2	no	—
1255	C₂²⋊C₄	—	26	2	no	—
1256	C₂²⋊C₄	—	26	2	no	—
1257	C₂²⋊C₄	—	26	2	no	—
1258	C₂²⋊C₄	—	52	1	no	—
1259	C₂²⋊C₄	—	52	1	no	—
1260	C₂²⋊C₄	—	52	1	no	—
1261	C₂²⋊C₄	—	52	1	no	—
1262	C₂²⋊C₄	—	52	1	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	2	2	no	—
1265	C₄²	—	2	2	no	—
1266	C₄²	—	26	2	no	—
1267	C₄²	—	26	2	no	—
1268	C₄²	—	26	2	no	—
1269	C₄²	—	26	2	no	—
1270	C₄²	—	26	2	no	—
1271	C₄²	—	26	2	no	—
1272	C₄²	—	26	2	no	—
1273	C₄²	—	26	2	no	—
1274	C₄²	—	26	2	no	—
1275	C₄²	—	26	2	no	—
1276	C₄²	—	26	2	no	—
1277	C₄²	—	26	2	no	—
1278	C₄²	—	26	2	no	—
1279	C₄²	—	52	1	no	—
1280	C₄²	—	52	1	no	—
1281	C₄²	—	52	1	no	—
1282	C₄²	—	52	1	no	—
1283	C₄²	—	52	1	no	—
1284	C₁₃	#34849	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	8	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	4	4	no	—
1309	C₂³	—	4	4	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	—	4	4	no	—
1312	C₂³	—	4	4	no	—
1313	C₂³	—	4	4	no	—
1314	C₂³	C₂×#6127	1	2	yes	—
1315	C₂³	C₂×#6127	1	2	yes	—
1316	C₂³	C₂×#6129	1	2	yes	—
1317	C₂³	C₂×#6129	1	2	yes	—
1318	C₂³	#41×D₁₃	1	2	yes	—
1319	C₂³	#41×D₁₃	1	2	yes	—
1320	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1321	Q₈	—	52	4	no	—
1322	D₄	—	2	8	no	—
1323	D₄	—	4	4	no	—
1324	D₄	—	4	4	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	8	no	—
1332	C₂×C₄	—	2	8	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	4	4	no	—
1356	C₂×C₄	—	4	4	no	—
1357	C₂×C₄	—	4	4	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	13	2	no	—
1360	C₂×C₄	—	13	2	no	—
1361	C₂×C₄	—	13	2	no	—
1362	C₂×C₄	—	13	2	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	26	1	no	—
1380	C₂×C₄	—	26	1	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	52	4	no	—
1408	C₂×C₄	—	52	4	no	—
1409	C₂×C₄	—	52	4	no	—
1410	C₂×C₄	—	52	4	no	—
1411	C₂×C₄	—	52	4	no	—
1412	C₂×C₄	—	52	4	no	—
1413	C₂×C₄	C₂×#6127	1	2	yes	—
1414	C₂×C₄	C₂×#6129	1	2	yes	—
1415	C₂×C₄	C₂×#6129	1	2	yes	—
1416	C₂×C₄	C₂×#6129	1	2	yes	—
1417	C₂×C₄	C₂×#6129	1	2	yes	—
1418	C₂×C₄	#88251	1	2	yes	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	4	16	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	#11719243	1	4	yes	—
1448	C₂²	C₂²×#6127	1	1	yes	characteristic
1449	C₂²	C₂²×#6129	1	1	yes	characteristic
1450	C₂²	C₂²×#6129	1	1	yes	characteristic
1451	C₂²	C₂×#88251	1	1	yes	characteristic
1452	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1453	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1454	C₂²	#11719648	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	26	2	no	—
1466	C₄	—	26	2	no	—
1467	C₄	—	26	2	no	—
1468	C₄	—	26	2	no	—
1469	C₄	—	52	1	no	—
1470	C₄	—	52	1	no	—
1471	C₄	—	52	1	no	—
1472	C₄	—	52	1	no	—
1473	C₄	—	52	1	no	—
1474	C₄	—	52	1	no	—
1475	C₄	—	52	1	no	—
1476	C₄	—	52	1	no	—
1477	C₄	—	52	1	no	—
1478	C₄	—	52	1	no	—
1479	C₄	—	52	1	no	—
1480	C₄	—	52	1	no	—
1481	C₄	#11719292	1	4	yes	—
1482	C₂	—	2	4	no	—
1483	C₂	—	4	2	no	—
1484	C₂	—	4	2	no	—
1485	C₂	—	4	2	no	—
1486	C₂	C₂×#11719243	1	1	yes	characteristic
1487	C₂	#13128128	1	1	yes	characteristic
1488	C₂	#13128243	1	1	yes	characteristic
1489	C₂	C₂×#11719292	1	1	yes	characteristic
1490	C₂	#13128394	1	1	yes	characteristic
1491	C₂	#13128396	1	1	yes	characteristic
1492	C₂	#13128440	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×#120	C₂
prime radical	C₂×C₁₃×#120	C₂²
hypercenter	C₄×#120	D₁₃
hypocenter	C₁₃	#34849
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#120

Complements

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

N	H ≅ G/N	type
1. #13120174	C₂	semidirect
2. #13120159	C₂	semidirect
3. #13120144	C₂	semidirect
4. #13120129	C₂	semidirect
5. #13120116	C₂	semidirect
6. #13120099	C₂	semidirect
7. #13120087	C₂	semidirect
8. #13120062	C₂	semidirect
9. #13120020	C₂	semidirect
10. #13119991	C₂	semidirect
11. #13119878	C₂	semidirect
13. #13119219	C₂	semidirect
14. #13119081	C₂	semidirect
15. #13118311	C₂	semidirect
17. #13118136	C₂	semidirect
18. #13118120	C₂	semidirect
19. #13118110	C₂	semidirect
20. #13118095	C₂	semidirect
21. C₄×#88133	C₂	semidirect
22. C₄×#88132	C₂	semidirect
23. C₄×#88189	C₂	semidirect
24. C₄×#88189	C₂	semidirect
25. #13117332	C₂	semidirect
26. #13117281	C₂	semidirect
27. #13117230	C₂	semidirect
28. #13117219	C₂	semidirect
29. C₄×D₄×Dic₁₃	C₂	semidirect
30. C₂×C₄×C₂²⋊Dic₁₃	C₂	semidirect
47. C₂²×C₄×Dic₁₃	C₂²	semidirect
50. C₂×C₄×Dic₂₆	C₂²	semidirect
89. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
90. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
91. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
94. #11718647	C₂²	semidirect
95. #11718644	C₂²	semidirect
96. #11718643	C₂²	semidirect
97. #11718643	C₂²	semidirect
98. #11718642	C₂²	semidirect
99. #11718642	C₂²	semidirect
100. #11718639	C₂²	semidirect
101. #11718639	C₂²	semidirect
102. #11718639	C₂²	semidirect
103. #11718639	C₂²	semidirect
104. C₄⋊C₄×Dic₁₃	C₂²	semidirect
105. C₄⋊C₄×Dic₁₃	C₂²	semidirect
108. #11718614	C₂²	semidirect
109. #11718614	C₂²	semidirect
118. #11718611	C₂²	semidirect
119. #11718611	C₂²	semidirect
121. #11718610	C₂²	semidirect
127. #11718608	C₂²	semidirect
130. #11718607	C₂²	semidirect
139. #11718605	C₂²	semidirect
140. #11718605	C₂²	semidirect
144. #11718604	C₂²	semidirect
150. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
151. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
152. C₄×C₄⋊Dic₁₃	C₂²	semidirect
153. C₄×C₄⋊Dic₁₃	C₂²	semidirect
154. #11718593	C₂²	semidirect
155. #11718593	C₂²	semidirect
156. C₄×#6101	C₂²	semidirect
157. C₄×#6101	C₂²	semidirect
158. C₄×#6101	C₂²	semidirect
159. C₄×#6101	C₂²	semidirect
160. C₄×#6101	C₂²	semidirect
161. C₄×#6101	C₂²	semidirect
162. C₄²×Dic₁₃	C₂²	semidirect
163. C₁₃⋊#401	C₂²	semidirect
164. #11718322	C₂²	semidirect
165. #11718321	C₂²	semidirect
166. #11718321	C₂²	semidirect
167. #11718320	C₂²	semidirect
168. #11718319	C₂²	semidirect
169. #11718318	C₂²	semidirect
170. #11718317	C₂²	semidirect
171. #11718316	C₂²	semidirect
172. #11718316	C₂²	semidirect
173. #11718315	C₂²	semidirect
174. #11718315	C₂²	semidirect
175. #11718315	C₂²	semidirect
176. #11718314	C₂²	semidirect
177. #11718314	C₂²	semidirect
178. #11718314	C₂²	semidirect
179. #11718313	C₂²	semidirect
180. #11718312	C₂²	semidirect
181. #11718312	C₂²	semidirect
182. #11718312	C₂²	semidirect
183. #11718311	C₂²	semidirect
184. #11718311	C₂²	semidirect
185. #11718308	C₂²	semidirect
186. #11718307	C₂²	semidirect
1284. C₁₃	#34849	semidirect

Maximal subgroups

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

subgroup	index
#13120174	2
#13120159	2
#13120144	2
#13120129	2
#13120116	2
#13120099	2
#13120087	2
#13120062	2
#13120020	2
#13119991	2
#13119878	2
#13119723	2
#13119219	2
#13119081	2
#13118311	2
#13118294	2
#13118136	2
#13118120	2
#13118110	2
#13118095	2
C₄×#88133	2
C₄×#88132	2
C₄×#88189	2
#13117332	2
#13117281	2
#13117230	2
#13117219	2
C₄×D₄×Dic₁₃	2
C₂×C₄×C₂²⋊Dic₁₃	2
C₄×C₁₃×#120	2
#34849	13