Subgroups — D₁₃×#2558 #16033056

Order 3328.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₃×#123	C₂	1	1	yes	maximal, characteristic
3	#13119957	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119956	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119955	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119954	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119953	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119952	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119951	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119950	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119949	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119948	C₂	1	1	yes	maximal, characteristic, complemented
13	#13119947	C₂	1	1	yes	maximal, characteristic, complemented
14	#13119946	C₂	1	1	yes	maximal, characteristic, complemented
15	#13119945	C₂	1	1	yes	maximal, characteristic, complemented
16	#13119944	C₂	1	1	yes	maximal, characteristic, complemented
17	#13119943	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#400	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#396	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#396	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#394	C₂	1	1	yes	maximal, characteristic
22	D₁₃×#390	C₂	1	1	yes	maximal, characteristic
23	D₁₃×#389	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#385	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2558	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×#88189	C₂²	1	1	yes	characteristic
37	C₂×#88183	C₂²	1	1	yes	characteristic
38	D₁₃×#125	—	2	8	no	—
39	D₁₃×#123	—	2	8	no	—
40	C₂×#88148	C₂²	1	1	yes	characteristic
41	C₂×#88148	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88140	C₂²	1	1	yes	characteristic
59	C₂×#88137	C₂²	1	1	yes	characteristic
60	C₂×#88137	C₂²	1	1	yes	characteristic
61	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
62	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
68	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
69	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
71	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
72	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
73	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
74	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
75	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
76	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#394	C₂²	1	1	yes	characteristic
81	C₁₃×#390	C₂²	1	1	yes	characteristic
82	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
90	#11718883	C₂²	1	1	yes	characteristic
91	#11718882	C₂²	1	1	yes	characteristic
92	#11718871	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
94	#11718655	C₂²	1	1	yes	characteristic, complemented
95	#11718655	C₂²	1	1	yes	characteristic, complemented
96	#11718655	C₂²	1	1	yes	characteristic, complemented
97	#11718655	C₂²	1	1	yes	characteristic, complemented
98	#11718655	C₂²	1	1	yes	characteristic, complemented
99	#11718655	C₂²	1	1	yes	characteristic, complemented
100	#11718652	C₂²	1	1	yes	characteristic
101	#11718651	C₂²	1	1	yes	characteristic, complemented
102	#11718651	C₂²	1	1	yes	characteristic, complemented
103	#11718651	C₂²	1	1	yes	characteristic, complemented
104	#11718651	C₂²	1	1	yes	characteristic, complemented
105	#11718650	C₂²	1	1	yes	characteristic, complemented
106	#11718650	C₂²	1	1	yes	characteristic, complemented
107	#11718649	C₂²	1	1	yes	characteristic
108	#11718647	C₂²	1	1	yes	characteristic, complemented
109	#11718646	C₂²	1	1	yes	characteristic, complemented
110	#11718643	C₂²	1	1	yes	characteristic, complemented
111	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
113	#11718634	C₂²	1	1	yes	characteristic, complemented
114	#11718633	C₂²	1	1	yes	characteristic, complemented
115	#11718633	C₂²	1	1	yes	characteristic, complemented
116	#11718622	C₂²	1	1	yes	characteristic
117	#11718622	C₂²	1	1	yes	characteristic
118	#11718620	C₂²	1	1	yes	characteristic
119	#11718620	C₂²	1	1	yes	characteristic
120	#11718618	C₂²	1	1	yes	characteristic
121	#11718618	C₂²	1	1	yes	characteristic
122	#11718618	C₂²	1	1	yes	characteristic
123	#11718618	C₂²	1	1	yes	characteristic
124	#11718612	C₂²	1	1	yes	characteristic, complemented
125	#11718612	C₂²	1	1	yes	characteristic, complemented
126	#11718612	C₂²	1	1	yes	characteristic, complemented
127	#11718612	C₂²	1	1	yes	characteristic, complemented
128	#11718611	C₂²	1	1	yes	characteristic, complemented
129	#11718609	C₂²	1	1	yes	characteristic, complemented
130	#11718609	C₂²	1	1	yes	characteristic, complemented
131	#11718609	C₂²	1	1	yes	characteristic, complemented
132	#11718609	C₂²	1	1	yes	characteristic, complemented
133	#11718609	C₂²	1	1	yes	characteristic, complemented
134	#11718609	C₂²	1	1	yes	characteristic, complemented
135	#11718607	C₂²	1	1	yes	characteristic, complemented
136	#11718606	C₂²	1	1	yes	characteristic, complemented
137	#11718606	C₂²	1	1	yes	characteristic, complemented
138	#11718606	C₂²	1	1	yes	characteristic, complemented
139	#11718606	C₂²	1	1	yes	characteristic, complemented
140	#11718605	C₂²	1	1	yes	characteristic, complemented
141	#11718605	C₂²	1	1	yes	characteristic, complemented
142	#11718605	C₂²	1	1	yes	characteristic, complemented
143	#11718605	C₂²	1	1	yes	characteristic, complemented
144	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
145	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
146	#11718601	C₂²	1	1	yes	characteristic, complemented
147	#11718601	C₂²	1	1	yes	characteristic, complemented
148	#11718601	C₂²	1	1	yes	characteristic, complemented
149	#11718601	C₂²	1	1	yes	characteristic, complemented
150	#11718600	C₂²	1	1	yes	characteristic
151	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
152	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
154	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
155	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
156	#11718589	C₂²	1	1	yes	characteristic, complemented
157	#11718337	C₂²	1	1	yes	characteristic, complemented
158	#11718337	C₂²	1	1	yes	characteristic, complemented
159	#11718333	C₂²	1	1	yes	characteristic
160	#11718331	C₂²	1	1	yes	characteristic, complemented
161	#11718331	C₂²	1	1	yes	characteristic, complemented
162	#11718331	C₂²	1	1	yes	characteristic, complemented
163	#11718331	C₂²	1	1	yes	characteristic, complemented
164	#11718330	C₂²	1	1	yes	characteristic, complemented
165	#11718330	C₂²	1	1	yes	characteristic, complemented
166	#11718330	C₂²	1	1	yes	characteristic, complemented
167	#11718330	C₂²	1	1	yes	characteristic, complemented
168	#11718329	C₂²	1	1	yes	characteristic, complemented
169	#11718329	C₂²	1	1	yes	characteristic, complemented
170	#11718327	C₂²	1	1	yes	characteristic, complemented
171	#11718327	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#95	C₂²	1	1	yes	characteristic
173	D₁₃×#95	C₂²	1	1	yes	characteristic
174	D₁₃×#95	C₂²	1	1	yes	characteristic
175	D₁₃×#95	C₂²	1	1	yes	characteristic
176	D₁₃×#95	C₂²	1	1	yes	characteristic
177	D₁₃×#95	C₂²	1	1	yes	characteristic
178	D₁₃×#95	C₂²	1	1	yes	characteristic
179	D₁₃×#95	C₂²	1	1	yes	characteristic
180	#11718321	C₂²	1	1	yes	characteristic, complemented
181	#11718321	C₂²	1	1	yes	characteristic, complemented
182	#11718320	C₂²	1	1	yes	characteristic, complemented
183	#11718319	C₂²	1	1	yes	characteristic, complemented
184	#11718319	C₂²	1	1	yes	characteristic, complemented
185	#11718310	C₂²	1	1	yes	characteristic, complemented
186	#11718310	C₂²	1	1	yes	characteristic, complemented
187	#11718308	C₂²	1	1	yes	characteristic, complemented
188	#11718308	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
190	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂×D₄×D₁₃	—	2	4	no	—
197	C₂×D₄×D₁₃	—	2	4	no	—
198	C₂×D₄×D₁₃	—	4	2	no	—
199	C₂²×D₅₂	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	—	2	4	no	—
201	C₂²×C₄×D₁₃	—	2	4	no	—
202	C₂²×C₄×D₁₃	—	4	2	no	—
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₁₃×#125	—	2	4	no	—
219	C₁₃×#123	—	2	4	no	—
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	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	#88189	—	2	4	no	—
257	#88183	—	2	4	no	—
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	1	yes	characteristic
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	1	yes	characteristic
279	C₂×#6103	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×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	1	yes	characteristic
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	1	yes	characteristic
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×#6101	C₂³	1	1	yes	characteristic
304	C₂×#6101	C₂³	1	1	yes	characteristic
305	C₂×#6101	C₂³	1	1	yes	characteristic
306	C₂×#6101	C₂³	1	1	yes	characteristic
307	C₂×#6101	C₂³	1	1	yes	characteristic
308	C₂×#6101	C₂³	1	1	yes	characteristic
309	C₂×#6101	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
322	#88148	—	2	4	no	—
323	#88148	—	2	4	no	—
324	C₄⋊C₄×D₁₃	—	2	4	no	—
325	C₄⋊C₄×D₁₃	—	2	4	no	—
326	C₄⋊C₄×D₁₃	—	2	4	no	—
327	C₄⋊C₄×D₁₃	—	2	4	no	—
328	C₄⋊C₄×D₁₃	—	2	4	no	—
329	C₄⋊C₄×D₁₃	—	2	4	no	—
330	C₄⋊C₄×D₁₃	—	2	4	no	—
331	C₄⋊C₄×D₁₃	—	2	4	no	—
332	C₄⋊C₄×D₁₃	—	4	2	no	—
333	C₄⋊C₄×D₁₃	D₄	1	8	yes	—
334	#88144	—	2	4	no	—
335	#88144	—	2	4	no	—
336	#88143	—	2	4	no	—
337	#88143	—	2	4	no	—
338	#88143	—	2	4	no	—
339	#88143	—	2	4	no	—
340	#88140	—	2	4	no	—
341	#88137	—	2	4	no	—
342	#88137	—	2	4	no	—
343	C₂²⋊C₄×D₁₃	—	2	4	no	—
344	C₂²⋊C₄×D₁₃	—	2	4	no	—
345	C₂²⋊C₄×D₁₃	—	2	4	no	—
346	C₂²⋊C₄×D₁₃	—	2	4	no	—
347	C₂²⋊C₄×D₁₃	—	2	4	no	—
348	C₂²⋊C₄×D₁₃	—	2	4	no	—
349	C₂²⋊C₄×D₁₃	—	2	4	no	—
350	C₂²⋊C₄×D₁₃	—	2	4	no	—
351	C₂²⋊C₄×D₁₃	—	2	4	no	—
352	C₂²⋊C₄×D₁₃	—	2	4	no	—
353	C₂²⋊C₄×D₁₃	—	4	2	no	—
354	C₄²×D₁₃	—	2	4	no	—
355	C₄²×D₁₃	—	2	4	no	—
356	C₄²×D₁₃	—	4	2	no	—
357	C₄²×D₁₃	—	4	2	no	—
358	#88124	—	2	4	no	—
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	C₁₃×#95	C₂³	1	1	yes	characteristic
362	C₁₃×#95	C₂³	1	1	yes	characteristic
363	C₁₃×#95	C₂³	1	1	yes	characteristic
364	C₁₃×#95	C₂³	1	1	yes	characteristic
365	C₁₃×#95	C₂³	1	1	yes	characteristic
366	C₁₃×#95	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	#88071	C₂³	1	1	yes	characteristic
377	#88071	C₂³	1	1	yes	characteristic
378	#88071	C₂³	1	1	yes	characteristic
379	#88071	C₂³	1	1	yes	characteristic
380	#88071	C₂³	1	1	yes	characteristic
381	#88071	C₂³	1	1	yes	characteristic
382	#88071	C₂³	1	1	yes	characteristic
383	#88071	C₂³	1	1	yes	characteristic
384	#88071	C₂³	1	1	yes	characteristic
385	#88071	C₂³	1	1	yes	characteristic
386	#88071	C₂³	1	1	yes	characteristic
387	#88071	C₂³	1	1	yes	characteristic
388	#88071	C₂³	1	1	yes	characteristic
389	#88071	C₂³	1	1	yes	characteristic
390	#88071	C₂³	1	1	yes	characteristic
391	C₂×#2558	—	13	1	no	maximal, Sylow
392	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂³×D₁₃	—	2	2	no	—
395	C₂³×D₁₃	—	2	2	no	—
396	C₂³×D₁₃	—	2	2	no	—
397	C₂³×D₁₃	—	2	2	no	—
398	C₂³×D₁₃	—	2	2	no	—
399	C₂³×D₁₃	—	2	2	no	—
400	C₂³×D₁₃	—	2	2	no	—
401	C₂³×D₁₃	—	2	2	no	—
402	C₂³×D₁₃	—	2	2	no	—
403	C₂³×D₁₃	—	2	2	no	—
404	C₂³×D₁₃	—	2	2	no	—
405	C₂³×D₁₃	—	2	2	no	—
406	C₂³×D₁₃	—	2	2	no	—
407	C₂³×D₁₃	#41	1	4	yes	—
408	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
409	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
410	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	2	2	no	—
413	C₂×D₄×C₁₃	—	4	1	no	—
414	C₂²×C₄×C₁₃	—	2	2	no	—
415	C₂²×C₄×C₁₃	—	2	2	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₂×C₂²⋊D₁₃	—	2	2	no	—
431	C₂×C₂²⋊D₁₃	—	2	2	no	—
432	C₂×C₂²⋊D₁₃	—	2	2	no	—
433	C₂×C₂²⋊D₁₃	—	2	2	no	—
434	C₂×C₂²⋊D₁₃	—	4	1	no	—
435	C₂×C₂²⋊D₁₃	—	4	1	no	—
436	C₂²×Dic₁₃	—	2	2	no	—
437	C₂²×Dic₁₃	—	2	2	no	—
438	C₂²×Dic₁₃	—	4	1	no	—
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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	D₄×D₁₃	—	4	16	no	—
453	C₂×D₅₂	—	2	2	no	—
454	C₂×D₅₂	—	2	2	no	—
455	C₂×D₅₂	—	4	1	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	2	2	no	—
461	C₂×C₄×D₁₃	—	2	2	no	—
462	C₂×C₄×D₁₃	—	2	2	no	—
463	C₂×C₄×D₁₃	—	2	2	no	—
464	C₂×C₄×D₁₃	—	2	2	no	—
465	C₂×C₄×D₁₃	—	2	2	no	—
466	C₂×C₄×D₁₃	—	2	2	no	—
467	C₂×C₄×D₁₃	—	2	2	no	—
468	C₂×C₄×D₁₃	—	2	2	no	—
469	C₂×C₄×D₁₃	—	2	2	no	—
470	C₂×C₄×D₁₃	—	2	2	no	—
471	C₂×C₄×D₁₃	—	2	2	no	—
472	C₂×C₄×D₁₃	—	2	2	no	—
473	C₂×C₄×D₁₃	—	2	2	no	—
474	C₂×C₄×D₁₃	—	2	2	no	—
475	C₂×C₄×D₁₃	—	2	2	no	—
476	C₂×C₄×D₁₃	—	2	2	no	—
477	C₂×C₄×D₁₃	—	2	2	no	—
478	C₂×C₄×D₁₃	—	2	2	no	—
479	C₂×C₄×D₁₃	—	2	2	no	—
480	C₂×C₄×D₁₃	—	2	2	no	—
481	C₂×C₄×D₁₃	—	2	2	no	—
482	C₂×C₄×D₁₃	—	2	2	no	—
483	C₂×C₄×D₁₃	—	2	2	no	—
484	C₂×C₄×D₁₃	—	2	2	no	—
485	C₂×C₄×D₁₃	—	2	2	no	—
486	C₂×C₄×D₁₃	—	2	2	no	—
487	C₂×C₄×D₁₃	—	2	2	no	—
488	C₂×C₄×D₁₃	—	2	2	no	—
489	C₂×C₄×D₁₃	—	2	2	no	—
490	C₂×C₄×D₁₃	—	2	2	no	—
491	C₂×C₄×D₁₃	—	2	2	no	—
492	C₂×C₄×D₁₃	—	2	2	no	—
493	C₂×C₄×D₁₃	—	4	16	no	—
494	C₂×C₄×D₁₃	—	4	1	no	—
495	C₂×C₄×D₁₃	—	4	1	no	—
496	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
497	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
498	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
499	C₂×C₄×D₁₃	#41	1	4	yes	—
500	C₂×C₄×D₁₃	#41	1	4	yes	—
501	C₂×C₄×D₁₃	#41	1	4	yes	—
502	C₁₃×C₄⋊C₄	—	2	2	no	—
503	C₁₃×C₄⋊C₄	—	2	2	no	—
504	C₁₃×C₄⋊C₄	—	2	2	no	—
505	C₁₃×C₄⋊C₄	—	2	2	no	—
506	C₁₃×C₄⋊C₄	—	2	2	no	—
507	C₁₃×C₄⋊C₄	—	2	2	no	—
508	C₁₃×C₄⋊C₄	—	2	2	no	—
509	C₁₃×C₄⋊C₄	—	2	2	no	—
510	C₁₃×C₄⋊C₄	—	4	1	no	—
511	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	no	—
518	C₁₃×C₂²⋊C₄	—	2	2	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	4	1	no	—
523	C₄²×C₁₃	—	2	2	no	—
524	C₄²×C₁₃	—	2	2	no	—
525	C₄²×C₁₃	—	4	1	no	—
526	C₄²×C₁₃	—	4	1	no	—
527	C₂²⋊Dic₁₃	—	2	2	no	—
528	C₂²⋊Dic₁₃	—	2	2	no	—
529	C₂²⋊Dic₁₃	—	2	2	no	—
530	C₂²⋊Dic₁₃	—	2	2	no	—
531	C₂²⋊Dic₁₃	—	2	2	no	—
532	C₂²⋊Dic₁₃	—	2	2	no	—
533	C₂²⋊Dic₁₃	—	2	2	no	—
534	C₂²⋊Dic₁₃	—	2	2	no	—
535	C₂²⋊Dic₁₃	—	2	2	no	—
536	C₂²⋊Dic₁₃	—	2	2	no	—
537	C₂²⋊Dic₁₃	—	4	1	no	—
538	#6103	—	2	2	no	—
539	#6103	—	2	2	no	—
540	#6103	—	2	2	no	—
541	#6103	—	2	2	no	—
542	#6103	—	2	2	no	—
543	#6103	—	2	2	no	—
544	#6103	—	2	2	no	—
545	#6103	—	2	2	no	—
546	#6103	—	2	2	no	—
547	#6103	—	2	2	no	—
548	#6103	—	2	2	no	—
549	#6103	—	2	2	no	—
550	#6103	—	2	2	no	—
551	#6103	—	2	2	no	—
552	#6103	—	2	2	no	—
553	#6103	—	2	2	no	—
554	#6103	—	2	2	no	—
555	#6103	—	2	2	no	—
556	#6103	—	2	2	no	—
557	#6103	—	2	2	no	—
558	#6103	—	4	1	no	—
559	#6103	—	4	1	no	—
560	C₄⋊Dic₁₃	—	2	2	no	—
561	C₄⋊Dic₁₃	—	2	2	no	—
562	C₄⋊Dic₁₃	—	2	2	no	—
563	C₄⋊Dic₁₃	—	2	2	no	—
564	C₄⋊Dic₁₃	—	2	2	no	—
565	C₄⋊Dic₁₃	—	2	2	no	—
566	C₄⋊Dic₁₃	—	2	2	no	—
567	C₄⋊Dic₁₃	—	2	2	no	—
568	C₄⋊Dic₁₃	—	4	1	no	—
569	C₄⋊Dic₁₃	C₂×D₄	1	4	yes	—
570	#6101	—	2	2	no	—
571	#6101	—	2	2	no	—
572	#6101	—	2	2	no	—
573	#6101	—	2	2	no	—
574	#6101	—	2	2	no	—
575	#6101	—	2	2	no	—
576	#6101	—	2	2	no	—
577	#6101	—	2	2	no	—
578	#6101	—	2	2	no	—
579	#6101	—	2	2	no	—
580	#6101	—	2	2	no	—
581	#6101	—	2	2	no	—
582	#6101	—	2	2	no	—
583	#6101	—	2	2	no	—
584	#6101	—	2	2	no	—
585	#6101	—	2	2	no	—
586	#6101	—	4	1	no	—
587	#6101	—	4	1	no	—
588	#6101	C₂×D₄	1	4	yes	—
589	#6101	C₂×D₄	1	4	yes	—
590	C₄×Dic₁₃	—	2	2	no	—
591	C₄×Dic₁₃	—	2	2	no	—
592	C₄×Dic₁₃	—	2	2	no	—
593	C₄×Dic₁₃	—	2	2	no	—
594	C₄×Dic₁₃	—	2	2	no	—
595	C₄×Dic₁₃	—	2	2	no	—
596	C₄×Dic₁₃	—	4	1	no	—
597	C₄×Dic₁₃	—	4	1	no	—
598	C₄×Dic₁₃	—	4	1	no	—
599	C₄×Dic₁₃	—	4	1	no	—
600	C₄×Dic₁₃	—	4	1	no	—
601	C₄×Dic₁₃	—	4	1	no	—
602	C₂²×#125	—	13	1	no	—
603	C₂²×#123	—	13	1	no	—
604	#2558	—	13	1	no	—
605	#2558	—	13	1	no	—
606	#2558	—	13	1	no	—
607	#2558	—	13	1	no	—
608	#2558	—	13	1	no	—
609	#2558	—	13	1	no	—
610	#2558	—	13	1	no	—
611	#2558	—	13	1	no	—
612	#2558	—	13	1	no	—
613	#2558	—	13	1	no	—
614	#2558	—	13	1	no	—
615	#2558	—	13	1	no	—
616	#2558	—	13	1	no	—
617	#2558	—	13	1	no	—
618	#2558	—	13	1	no	—
619	#2558	D₁₃	1	1	yes	characteristic, direct product factor
620	C₂×#400	—	13	1	no	—
621	C₂×#396	—	13	1	no	—
622	C₂×#396	—	13	1	no	—
623	C₂×#394	—	13	1	no	—
624	C₂×#390	—	13	1	no	—
625	C₂×#389	—	13	1	no	—
626	C₂×#388	—	13	1	no	—
627	C₂×#388	—	13	1	no	—
628	C₂×#388	—	13	1	no	—
629	C₂×#388	—	13	1	no	—
630	C₂×#385	—	13	1	no	—
631	C₂×C₄×C₄⋊C₄	—	13	1	no	—
632	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
633	C₂³×C₁₃	—	2	1	no	—
634	C₂³×C₁₃	—	2	1	no	—
635	C₂³×C₁₃	—	2	1	no	—
636	C₂³×C₁₃	—	2	1	no	—
637	C₂³×C₁₃	—	2	1	no	—
638	C₂³×C₁₃	—	2	1	no	—
639	C₂³×C₁₃	—	2	1	no	—
640	C₂³×C₁₃	—	2	1	no	—
641	C₂³×C₁₃	—	2	1	no	—
642	C₂³×C₁₃	—	2	1	no	—
643	C₂³×C₁₃	—	2	1	no	—
644	C₂³×C₁₃	—	2	1	no	—
645	C₂³×C₁₃	—	2	1	no	—
646	C₂³×C₁₃	C₂×#41	1	2	yes	—
647	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
648	C₂²×D₁₃	—	2	1	no	—
649	C₂²×D₁₃	—	2	1	no	—
650	C₂²×D₁₃	—	2	1	no	—
651	C₂²×D₁₃	—	2	1	no	—
652	C₂²×D₁₃	—	2	1	no	—
653	C₂²×D₁₃	—	2	1	no	—
654	C₂²×D₁₃	—	2	8	no	—
655	C₂²×D₁₃	—	2	8	no	—
656	C₂²×D₁₃	—	2	8	no	—
657	C₂²×D₁₃	—	2	1	no	—
658	C₂²×D₁₃	—	2	1	no	—
659	C₂²×D₁₃	—	2	1	no	—
660	C₂²×D₁₃	—	2	1	no	—
661	C₂²×D₁₃	—	2	1	no	—
662	C₂²×D₁₃	—	2	1	no	—
663	C₂²×D₁₃	—	2	1	no	—
664	C₂²×D₁₃	—	4	4	no	—
665	C₂²×D₁₃	—	4	4	no	—
666	C₂²×D₁₃	—	4	4	no	—
667	C₂²×D₁₃	—	4	4	no	—
668	C₂²×D₁₃	—	4	4	no	—
669	C₂²×D₁₃	—	4	4	no	—
670	C₂²×D₁₃	—	4	4	no	—
671	C₂²×D₁₃	—	4	4	no	—
672	C₂²×D₁₃	—	4	4	no	—
673	C₂²×D₁₃	—	4	4	no	—
674	C₂²×D₁₃	—	4	4	no	—
675	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
676	C₂²×D₁₃	C₂×#41	1	2	yes	—
677	C₂²×D₁₃	C₂×#41	1	2	yes	—
678	C₂²×D₁₃	C₂×#41	1	2	yes	—
679	C₂²×D₁₃	C₂×#41	1	2	yes	—
680	C₂²×D₁₃	C₂×#41	1	2	yes	—
681	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
682	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
683	D₄×C₁₃	—	4	4	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	2	1	no	—
689	C₂×C₄×C₁₃	—	2	1	no	—
690	C₂×C₄×C₁₃	—	2	1	no	—
691	C₂×C₄×C₁₃	—	2	1	no	—
692	C₂×C₄×C₁₃	—	2	1	no	—
693	C₂×C₄×C₁₃	—	2	1	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	1	no	—
696	C₂×C₄×C₁₃	—	2	1	no	—
697	C₂×C₄×C₁₃	—	2	1	no	—
698	C₂×C₄×C₁₃	—	2	1	no	—
699	C₂×C₄×C₁₃	—	2	1	no	—
700	C₂×C₄×C₁₃	—	2	1	no	—
701	C₂×C₄×C₁₃	—	2	1	no	—
702	C₂×C₄×C₁₃	—	2	1	no	—
703	C₂×C₄×C₁₃	—	2	1	no	—
704	C₂×C₄×C₁₃	—	2	1	no	—
705	C₂×C₄×C₁₃	—	2	1	no	—
706	C₂×C₄×C₁₃	—	2	1	no	—
707	C₂×C₄×C₁₃	—	2	1	no	—
708	C₂×C₄×C₁₃	—	2	1	no	—
709	C₂×C₄×C₁₃	—	2	1	no	—
710	C₂×C₄×C₁₃	—	2	1	no	—
711	C₂×C₄×C₁₃	—	2	1	no	—
712	C₂×C₄×C₁₃	—	2	1	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	2	1	no	—
716	C₂×C₄×C₁₃	—	2	1	no	—
717	C₂×C₄×C₁₃	—	4	4	no	—
718	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
719	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
720	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
721	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
722	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
723	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
724	C₂²⋊D₁₃	—	4	4	no	—
725	C₂²⋊D₁₃	—	4	4	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	2	1	no	—
728	C₂×Dic₁₃	—	2	1	no	—
729	C₂×Dic₁₃	—	2	1	no	—
730	C₂×Dic₁₃	—	2	1	no	—
731	C₂×Dic₁₃	—	2	1	no	—
732	C₂×Dic₁₃	—	2	1	no	—
733	C₂×Dic₁₃	—	2	1	no	—
734	C₂×Dic₁₃	—	2	1	no	—
735	C₂×Dic₁₃	—	2	1	no	—
736	C₂×Dic₁₃	—	2	1	no	—
737	C₂×Dic₁₃	—	2	1	no	—
738	C₂×Dic₁₃	—	2	1	no	—
739	C₂×Dic₁₃	—	2	1	no	—
740	C₂×Dic₁₃	—	2	1	no	—
741	C₂×Dic₁₃	—	2	1	no	—
742	C₂×Dic₁₃	—	2	1	no	—
743	C₂×Dic₁₃	—	2	1	no	—
744	C₂×Dic₁₃	—	2	1	no	—
745	C₂×Dic₁₃	—	2	1	no	—
746	C₂×Dic₁₃	—	2	1	no	—
747	C₂×Dic₁₃	—	2	1	no	—
748	C₂×Dic₁₃	—	2	1	no	—
749	C₂×Dic₁₃	—	2	1	no	—
750	C₂×Dic₁₃	—	2	1	no	—
751	C₂×Dic₁₃	—	2	1	no	—
752	C₂×Dic₁₃	—	2	1	no	—
753	C₂×Dic₁₃	—	2	1	no	—
754	C₂×Dic₁₃	—	2	1	no	—
755	C₂×Dic₁₃	—	2	1	no	—
756	C₂×Dic₁₃	—	2	1	no	—
757	C₂×Dic₁₃	—	2	1	no	—
758	C₂×Dic₁₃	—	2	1	no	—
759	C₂×Dic₁₃	—	4	4	no	—
760	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
761	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
762	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
763	C₂×Dic₁₃	C₂×#41	1	2	yes	—
764	C₂×Dic₁₃	C₂×#41	1	2	yes	—
765	C₂×Dic₁₃	C₂×#41	1	2	yes	—
766	D₅₂	—	4	4	no	—
767	C₄×D₁₃	—	2	8	no	—
768	C₄×D₁₃	—	2	8	no	—
769	C₄×D₁₃	—	2	8	no	—
770	C₄×D₁₃	—	2	8	no	—
771	C₄×D₁₃	—	2	8	no	—
772	C₄×D₁₃	—	2	8	no	—
773	C₄×D₁₃	—	4	4	no	—
774	C₄×D₁₃	—	4	4	no	—
775	C₄×D₁₃	—	4	4	no	—
776	C₄×D₁₃	—	4	4	no	—
777	C₄×D₁₃	—	4	4	no	—
778	C₄×D₁₃	—	4	4	no	—
779	C₄×D₁₃	—	4	4	no	—
780	C₄×D₁₃	—	4	4	no	—
781	C₄×D₁₃	—	4	4	no	—
782	C₂³×D₄	—	13	1	no	—
783	C₂⁴×C₄	—	13	1	no	—
784	C₂×#125	—	13	1	no	—
785	C₂×#125	—	13	1	no	—
786	C₂×#125	—	13	1	no	—
787	C₂×#125	—	13	1	no	—
788	C₂×#125	—	13	1	no	—
789	C₂×#125	—	13	1	no	—
790	C₂×#125	—	13	1	no	—
791	C₂×#125	—	26	8	no	—
792	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
793	C₂×#123	—	13	1	no	—
794	C₂×#123	—	13	1	no	—
795	C₂×#123	—	13	1	no	—
796	C₂×#123	—	13	1	no	—
797	C₂×#123	—	13	1	no	—
798	C₂×#123	—	13	1	no	—
799	C₂×#123	—	13	1	no	—
800	C₂×#123	—	26	8	no	—
801	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
802	C₂²×C₄⋊C₄	—	13	1	no	—
803	C₂²×C₄⋊C₄	—	13	1	no	—
804	C₂²×C₄⋊C₄	—	13	1	no	—
805	C₂²×C₄⋊C₄	—	13	1	no	—
806	C₂²×C₄⋊C₄	—	13	1	no	—
807	C₂²×C₄⋊C₄	—	13	1	no	—
808	C₂²×C₄⋊C₄	—	13	1	no	—
809	C₂²×C₄⋊C₄	—	13	1	no	—
810	C₂²×C₄⋊C₄	—	13	1	no	—
811	C₂²×C₄⋊C₄	—	13	1	no	—
812	C₂²×C₂²⋊C₄	—	13	1	no	—
813	C₂²×C₂²⋊C₄	—	13	1	no	—
814	C₂²×C₂²⋊C₄	—	13	1	no	—
815	C₂²×C₂²⋊C₄	—	13	1	no	—
816	C₂²×C₂²⋊C₄	—	13	1	no	—
817	C₂²×C₂²⋊C₄	—	13	1	no	—
818	C₂²×C₂²⋊C₄	—	13	1	no	—
819	C₂²×C₂²⋊C₄	—	13	1	no	—
820	C₂²×C₂²⋊C₄	—	13	1	no	—
821	C₂²×C₂²⋊C₄	—	13	1	no	—
822	C₂²×C₂²⋊C₄	—	13	1	no	—
823	C₂²×C₄²	—	13	1	no	—
824	C₂²×C₄²	—	13	1	no	—
825	C₂²×C₄²	—	13	1	no	—
826	C₂²×C₄²	—	13	1	no	—
827	#400	—	13	1	no	—
828	#400	—	13	1	no	—
829	#400	—	13	1	no	—
830	#400	—	13	1	no	—
831	#400	—	13	1	no	—
832	#400	—	13	1	no	—
833	#400	—	13	1	no	—
834	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
835	#396	—	13	1	no	—
836	#396	—	13	1	no	—
837	#396	—	13	1	no	—
838	#396	—	13	1	no	—
839	#396	—	13	1	no	—
840	#396	—	13	1	no	—
841	#396	—	13	1	no	—
842	#396	—	13	1	no	—
843	#396	—	13	1	no	—
844	#396	—	13	1	no	—
845	#396	—	13	1	no	—
846	#396	—	13	1	no	—
847	#396	—	13	1	no	—
848	#396	—	13	1	no	—
849	#396	C₂×D₁₃	1	1	yes	characteristic, complemented
850	#396	C₂×D₁₃	1	1	yes	characteristic, complemented
851	#394	—	13	1	no	—
852	#394	—	13	1	no	—
853	#394	—	13	1	no	—
854	#394	—	13	1	no	—
855	#394	—	13	1	no	—
856	#394	—	13	1	no	—
857	#394	—	13	1	no	—
858	#394	C₂×D₁₃	1	1	yes	characteristic
859	#390	—	13	1	no	—
860	#390	—	13	1	no	—
861	#390	—	13	1	no	—
862	#390	—	13	1	no	—
863	#390	—	13	1	no	—
864	#390	—	13	1	no	—
865	#390	—	13	1	no	—
866	#390	C₂×D₁₃	1	1	yes	characteristic
867	#389	—	13	1	no	—
868	#389	—	13	1	no	—
869	#389	—	13	1	no	—
870	#389	—	13	1	no	—
871	#389	—	13	1	no	—
872	#389	—	13	1	no	—
873	#389	—	13	1	no	—
874	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
875	#388	—	13	1	no	—
876	#388	—	13	1	no	—
877	#388	—	13	1	no	—
878	#388	—	13	1	no	—
879	#388	—	13	1	no	—
880	#388	—	13	1	no	—
881	#388	—	13	1	no	—
882	#388	—	13	1	no	—
883	#388	—	13	1	no	—
884	#388	—	13	1	no	—
885	#388	—	13	1	no	—
886	#388	—	13	1	no	—
887	#388	—	13	1	no	—
888	#388	—	13	1	no	—
889	#388	—	13	1	no	—
890	#388	—	13	1	no	—
891	#388	—	13	1	no	—
892	#388	—	13	1	no	—
893	#388	—	13	1	no	—
894	#388	—	13	1	no	—
895	#388	—	13	1	no	—
896	#388	—	13	1	no	—
897	#388	—	13	1	no	—
898	#388	—	13	1	no	—
899	#388	—	13	1	no	—
900	#388	—	13	1	no	—
901	#388	—	13	1	no	—
902	#388	—	13	1	no	—
903	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
904	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
905	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
906	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
907	#385	—	13	1	no	—
908	#385	—	13	1	no	—
909	#385	—	13	1	no	—
910	#385	—	13	1	no	—
911	#385	—	13	1	no	—
912	#385	—	13	1	no	—
913	#385	—	13	1	no	—
914	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
915	C₄×C₄⋊C₄	—	13	1	no	—
916	C₄×C₄⋊C₄	—	13	1	no	—
917	C₄×C₄⋊C₄	—	13	1	no	—
918	C₄×C₄⋊C₄	—	13	1	no	—
919	C₄×C₄⋊C₄	—	13	1	no	—
920	C₄×C₄⋊C₄	—	13	1	no	—
921	C₄×C₄⋊C₄	—	13	1	no	—
922	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
923	C₄×C₂²⋊C₄	—	13	1	no	—
924	C₄×C₂²⋊C₄	—	13	1	no	—
925	C₄×C₂²⋊C₄	—	13	1	no	—
926	C₄×C₂²⋊C₄	—	13	1	no	—
927	C₄×C₂²⋊C₄	—	13	1	no	—
928	C₄×C₂²⋊C₄	—	13	1	no	—
929	C₄×C₂²⋊C₄	—	13	1	no	—
930	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
931	C₂×#95	—	13	1	no	—
932	C₂×#95	—	13	1	no	—
933	C₂×#95	—	13	1	no	—
934	C₂×#95	—	13	1	no	—
935	C₂×#95	—	13	1	no	—
936	C₂×#95	—	13	1	no	—
937	C₂×#95	—	13	1	no	—
938	C₂×#95	—	13	1	no	—
939	C₂²×C₁₃	—	2	2	no	—
940	C₂²×C₁₃	—	2	2	no	—
941	C₂²×C₁₃	—	2	2	no	—
942	C₂²×C₁₃	—	4	1	no	—
943	C₂²×C₁₃	—	4	1	no	—
944	C₂²×C₁₃	—	4	1	no	—
945	C₂²×C₁₃	—	4	1	no	—
946	C₂²×C₁₃	—	4	1	no	—
947	C₂²×C₁₃	—	4	1	no	—
948	C₂²×C₁₃	—	4	1	no	—
949	C₂²×C₁₃	—	4	1	no	—
950	C₂²×C₁₃	—	4	1	no	—
951	C₂²×C₁₃	—	4	1	no	—
952	C₂²×C₁₃	—	4	1	no	—
953	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
954	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
955	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
956	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
957	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
958	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
959	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
960	C₂×D₁₃	—	2	2	no	—
961	C₂×D₁₃	—	2	2	no	—
962	C₂×D₁₃	—	2	2	no	—
963	C₂×D₁₃	—	4	1	no	—
964	C₂×D₁₃	—	4	1	no	—
965	C₂×D₁₃	—	4	1	no	—
966	C₂×D₁₃	—	4	1	no	—
967	C₂×D₁₃	—	4	16	no	—
968	C₂×D₁₃	—	4	1	no	—
969	C₂×D₁₃	—	4	1	no	—
970	C₂×D₁₃	—	4	1	no	—
971	C₂×D₁₃	—	4	1	no	—
972	C₂×D₁₃	—	4	1	no	—
973	C₂×D₁₃	—	4	1	no	—
974	C₂×D₁₃	—	4	1	no	—
975	C₂×D₁₃	—	8	8	no	—
976	C₂×D₁₃	#529	1	4	yes	—
977	C₂×D₁₃	#532	1	4	yes	—
978	C₂×D₁₃	#539	1	4	yes	—
979	C₂×D₁₃	#546	1	4	yes	—
980	C₂×D₁₃	#548	1	4	yes	—
981	C₂×D₁₃	#552	1	4	yes	—
982	C₂×D₁₃	#553	1	4	yes	—
983	C₄×C₁₃	—	2	2	no	—
984	C₄×C₁₃	—	2	2	no	—
985	C₄×C₁₃	—	2	2	no	—
986	C₄×C₁₃	—	2	2	no	—
987	C₄×C₁₃	—	2	2	no	—
988	C₄×C₁₃	—	2	2	no	—
989	C₄×C₁₃	—	4	1	no	—
990	C₄×C₁₃	—	4	1	no	—
991	C₄×C₁₃	—	4	1	no	—
992	C₄×C₁₃	—	4	1	no	—
993	C₄×C₁₃	—	4	1	no	—
994	C₄×C₁₃	—	4	1	no	—
995	C₄×C₁₃	—	4	1	no	—
996	Dic₁₃	—	2	2	no	—
997	Dic₁₃	—	2	2	no	—
998	Dic₁₃	—	2	2	no	—
999	Dic₁₃	—	2	2	no	—
1000	Dic₁₃	—	2	2	no	—
1001	Dic₁₃	—	2	2	no	—
1002	Dic₁₃	—	4	1	no	—
1003	Dic₁₃	—	4	1	no	—
1004	Dic₁₃	—	4	1	no	—
1005	Dic₁₃	—	4	1	no	—
1006	Dic₁₃	—	4	1	no	—
1007	Dic₁₃	—	4	1	no	—
1008	Dic₁₃	—	4	1	no	—
1009	C₂⁵	—	13	1	no	—
1010	C₂⁵	—	13	1	no	—
1011	C₂²×D₄	—	13	1	no	—
1012	C₂²×D₄	—	13	1	no	—
1013	C₂²×D₄	—	13	1	no	—
1014	C₂²×D₄	—	26	4	no	—
1015	C₂²×D₄	—	26	4	no	—
1016	C₂²×D₄	—	52	2	no	—
1017	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂³×C₄	—	13	1	no	—
1019	C₂³×C₄	—	13	1	no	—
1020	C₂³×C₄	—	13	1	no	—
1021	C₂³×C₄	—	13	1	no	—
1022	C₂³×C₄	—	13	1	no	—
1023	C₂³×C₄	—	13	1	no	—
1024	C₂³×C₄	—	13	1	no	—
1025	C₂³×C₄	—	13	1	no	—
1026	C₂³×C₄	—	13	1	no	—
1027	C₂³×C₄	—	13	1	no	—
1028	C₂³×C₄	—	13	1	no	—
1029	C₂³×C₄	—	13	1	no	—
1030	C₂³×C₄	—	13	1	no	—
1031	C₂³×C₄	—	13	1	no	—
1032	C₂³×C₄	—	13	1	no	—
1033	C₂³×C₄	—	13	1	no	—
1034	C₂³×C₄	—	26	4	no	—
1035	C₂³×C₄	—	26	4	no	—
1036	C₂³×C₄	—	52	2	no	—
1037	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1038	#125	—	2	4	no	—
1039	#125	—	26	4	no	—
1040	#125	—	26	4	no	—
1041	#125	—	26	4	no	—
1042	#125	—	26	4	no	—
1043	#125	—	26	4	no	—
1044	#125	—	26	4	no	—
1045	#125	—	26	4	no	—
1046	#123	—	2	4	no	—
1047	#123	—	26	4	no	—
1048	#123	—	26	4	no	—
1049	#123	—	26	4	no	—
1050	#123	—	26	4	no	—
1051	#123	—	26	4	no	—
1052	#123	—	26	4	no	—
1053	#123	—	26	4	no	—
1054	C₂×C₄⋊C₄	—	13	1	no	—
1055	C₂×C₄⋊C₄	—	13	1	no	—
1056	C₂×C₄⋊C₄	—	13	1	no	—
1057	C₂×C₄⋊C₄	—	13	8	no	—
1058	C₂×C₄⋊C₄	—	13	1	no	—
1059	C₂×C₄⋊C₄	—	13	1	no	—
1060	C₂×C₄⋊C₄	—	13	1	no	—
1061	C₂×C₄⋊C₄	—	13	1	no	—
1062	C₂×C₄⋊C₄	—	13	1	no	—
1063	C₂×C₄⋊C₄	—	13	1	no	—
1064	C₂×C₄⋊C₄	—	13	1	no	—
1065	C₂×C₄⋊C₄	—	13	1	no	—
1066	C₂×C₄⋊C₄	—	13	1	no	—
1067	C₂×C₄⋊C₄	—	13	1	no	—
1068	C₂×C₄⋊C₄	—	13	1	no	—
1069	C₂×C₄⋊C₄	—	13	1	no	—
1070	C₂×C₄⋊C₄	—	13	1	no	—
1071	C₂×C₄⋊C₄	—	13	1	no	—
1072	C₂×C₄⋊C₄	—	13	1	no	—
1073	C₂×C₄⋊C₄	—	13	1	no	—
1074	C₂×C₄⋊C₄	—	13	1	no	—
1075	C₂×C₄⋊C₄	—	13	1	no	—
1076	C₂×C₄⋊C₄	—	13	1	no	—
1077	C₂×C₄⋊C₄	—	13	1	no	—
1078	C₂×C₄⋊C₄	—	13	1	no	—
1079	C₂×C₄⋊C₄	—	13	1	no	—
1080	C₂×C₄⋊C₄	—	13	1	no	—
1081	C₂×C₄⋊C₄	—	13	1	no	—
1082	C₂×C₄⋊C₄	—	13	1	no	—
1083	C₂×C₄⋊C₄	—	13	1	no	—
1084	C₂×C₄⋊C₄	—	13	1	no	—
1085	C₂×C₄⋊C₄	—	26	4	no	—
1086	C₂×C₄⋊C₄	—	26	4	no	—
1087	C₂×C₄⋊C₄	—	26	4	no	—
1088	C₂×C₄⋊C₄	—	26	4	no	—
1089	C₂×C₄⋊C₄	—	26	4	no	—
1090	C₂×C₄⋊C₄	—	26	4	no	—
1091	C₂×C₄⋊C₄	—	26	4	no	—
1092	C₂×C₄⋊C₄	—	26	4	no	—
1093	C₂×C₄⋊C₄	—	52	2	no	—
1094	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	—	13	1	no	—
1105	C₂×C₂²⋊C₄	—	13	1	no	—
1106	C₂×C₂²⋊C₄	—	13	1	no	—
1107	C₂×C₂²⋊C₄	—	13	1	no	—
1108	C₂×C₂²⋊C₄	—	13	1	no	—
1109	C₂×C₂²⋊C₄	—	13	1	no	—
1110	C₂×C₂²⋊C₄	—	13	1	no	—
1111	C₂×C₂²⋊C₄	—	13	1	no	—
1112	C₂×C₂²⋊C₄	—	13	1	no	—
1113	C₂×C₂²⋊C₄	—	13	1	no	—
1114	C₂×C₂²⋊C₄	—	13	1	no	—
1115	C₂×C₂²⋊C₄	—	13	1	no	—
1116	C₂×C₂²⋊C₄	—	13	1	no	—
1117	C₂×C₂²⋊C₄	—	13	1	no	—
1118	C₂×C₂²⋊C₄	—	13	1	no	—
1119	C₂×C₂²⋊C₄	—	13	1	no	—
1120	C₂×C₂²⋊C₄	—	13	1	no	—
1121	C₂×C₂²⋊C₄	—	13	1	no	—
1122	C₂×C₂²⋊C₄	—	13	1	no	—
1123	C₂×C₂²⋊C₄	—	13	1	no	—
1124	C₂×C₂²⋊C₄	—	13	1	no	—
1125	C₂×C₂²⋊C₄	—	13	1	no	—
1126	C₂×C₂²⋊C₄	—	13	1	no	—
1127	C₂×C₂²⋊C₄	—	13	1	no	—
1128	C₂×C₂²⋊C₄	—	13	1	no	—
1129	C₂×C₂²⋊C₄	—	13	1	no	—
1130	C₂×C₂²⋊C₄	—	13	1	no	—
1131	C₂×C₂²⋊C₄	—	13	1	no	—
1132	C₂×C₂²⋊C₄	—	13	1	no	—
1133	C₂×C₂²⋊C₄	—	13	1	no	—
1134	C₂×C₂²⋊C₄	—	13	1	no	—
1135	C₂×C₂²⋊C₄	—	13	1	no	—
1136	C₂×C₂²⋊C₄	—	13	1	no	—
1137	C₂×C₂²⋊C₄	—	26	4	no	—
1138	C₂×C₂²⋊C₄	—	26	4	no	—
1139	C₂×C₂²⋊C₄	—	26	4	no	—
1140	C₂×C₂²⋊C₄	—	26	4	no	—
1141	C₂×C₂²⋊C₄	—	26	4	no	—
1142	C₂×C₂²⋊C₄	—	26	4	no	—
1143	C₂×C₂²⋊C₄	—	26	4	no	—
1144	C₂×C₂²⋊C₄	—	26	4	no	—
1145	C₂×C₂²⋊C₄	—	26	4	no	—
1146	C₂×C₂²⋊C₄	—	26	4	no	—
1147	C₂×C₂²⋊C₄	—	52	2	no	—
1148	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂×C₄²	—	13	1	no	—
1160	C₂×C₄²	—	13	1	no	—
1161	C₂×C₄²	—	13	1	no	—
1162	C₂×C₄²	—	13	1	no	—
1163	C₂×C₄²	—	13	1	no	—
1164	C₂×C₄²	—	13	1	no	—
1165	C₂×C₄²	—	13	1	no	—
1166	C₂×C₄²	—	13	1	no	—
1167	C₂×C₄²	—	13	1	no	—
1168	C₂×C₄²	—	13	1	no	—
1169	C₂×C₄²	—	13	1	no	—
1170	C₂×C₄²	—	13	1	no	—
1171	C₂×C₄²	—	26	4	no	—
1172	C₂×C₄²	—	26	4	no	—
1173	C₂×C₄²	—	52	2	no	—
1174	C₂×C₄²	—	52	2	no	—
1175	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1179	#95	—	13	1	no	—
1180	#95	—	13	1	no	—
1181	#95	—	13	1	no	—
1182	#95	—	13	1	no	—
1183	#95	—	13	1	no	—
1184	#95	—	13	1	no	—
1185	#95	—	13	1	no	—
1186	#95	—	13	1	no	—
1187	#95	—	13	1	no	—
1188	#95	—	13	1	no	—
1189	#95	—	13	1	no	—
1190	#95	—	13	1	no	—
1191	#95	—	13	1	no	—
1192	#95	—	13	1	no	—
1193	#95	—	13	1	no	—
1194	#95	—	13	1	no	—
1195	#95	—	13	1	no	—
1196	#95	—	13	1	no	—
1197	#95	—	13	1	no	—
1198	#95	—	13	1	no	—
1199	#95	—	13	1	no	—
1200	#95	—	13	1	no	—
1201	#95	—	13	1	no	—
1202	#95	—	13	1	no	—
1203	#95	C₂²×D₁₃	1	1	yes	characteristic
1204	#95	C₂²×D₁₃	1	1	yes	characteristic
1205	#95	C₂²×D₁₃	1	1	yes	characteristic
1206	#95	C₂²×D₁₃	1	1	yes	characteristic
1207	#95	C₂²×D₁₃	1	1	yes	characteristic
1208	#95	C₂²×D₁₃	1	1	yes	characteristic
1209	#95	C₂²×D₁₃	1	1	yes	characteristic
1210	#95	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×C₁₃	—	4	2	no	—
1212	C₂×C₁₃	—	8	1	no	—
1213	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1214	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
1215	C₂×C₁₃	C₂×#539	1	1	yes	characteristic
1216	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1217	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
1218	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1219	C₂×C₁₃	C₂×#553	1	1	yes	characteristic
1220	D₁₃	—	4	2	no	—
1221	D₁₃	—	8	1	no	—
1222	D₁₃	#2558	1	8	yes	direct product factor
1223	C₂⁴	—	13	1	no	—
1224	C₂⁴	—	13	4	no	—
1225	C₂⁴	—	13	1	no	—
1226	C₂⁴	—	13	1	no	—
1227	C₂⁴	—	26	2	no	—
1228	C₂⁴	—	26	2	no	—
1229	C₂⁴	—	26	2	no	—
1230	C₂⁴	—	26	2	no	—
1231	C₂⁴	—	26	2	no	—
1232	C₂⁴	—	26	2	no	—
1233	C₂⁴	—	26	2	no	—
1234	C₂⁴	—	26	2	no	—
1235	C₂⁴	—	26	2	no	—
1236	C₂⁴	—	26	2	no	—
1237	C₂⁴	—	26	2	no	—
1238	C₂⁴	—	26	2	no	—
1239	C₂⁴	—	26	2	no	—
1240	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1241	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1242	C₂×D₄	—	2	2	no	—
1243	C₂×D₄	—	2	2	no	—
1244	C₂×D₄	—	4	1	no	—
1245	C₂×D₄	—	26	2	no	—
1246	C₂×D₄	—	26	2	no	—
1247	C₂×D₄	—	26	2	no	—
1248	C₂×D₄	—	26	2	no	—
1249	C₂×D₄	—	26	2	no	—
1250	C₂×D₄	—	26	2	no	—
1251	C₂×D₄	—	52	1	no	—
1252	C₂×D₄	—	52	16	no	—
1253	C₂×D₄	—	52	1	no	—
1254	C₂×D₄	—	52	1	no	—
1255	C₂²×C₄	—	2	2	no	—
1256	C₂²×C₄	—	2	2	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	13	1	no	—
1259	C₂²×C₄	—	13	1	no	—
1260	C₂²×C₄	—	13	1	no	—
1261	C₂²×C₄	—	13	1	no	—
1262	C₂²×C₄	—	13	1	no	—
1263	C₂²×C₄	—	13	1	no	—
1264	C₂²×C₄	—	13	4	no	—
1265	C₂²×C₄	—	13	4	no	—
1266	C₂²×C₄	—	13	4	no	—
1267	C₂²×C₄	—	13	4	no	—
1268	C₂²×C₄	—	13	4	no	—
1269	C₂²×C₄	—	13	4	no	—
1270	C₂²×C₄	—	13	1	no	—
1271	C₂²×C₄	—	13	1	no	—
1272	C₂²×C₄	—	13	1	no	—
1273	C₂²×C₄	—	13	1	no	—
1274	C₂²×C₄	—	13	1	no	—
1275	C₂²×C₄	—	13	1	no	—
1276	C₂²×C₄	—	13	1	no	—
1277	C₂²×C₄	—	26	2	no	—
1278	C₂²×C₄	—	26	2	no	—
1279	C₂²×C₄	—	26	2	no	—
1280	C₂²×C₄	—	26	2	no	—
1281	C₂²×C₄	—	26	2	no	—
1282	C₂²×C₄	—	26	2	no	—
1283	C₂²×C₄	—	26	2	no	—
1284	C₂²×C₄	—	26	2	no	—
1285	C₂²×C₄	—	26	2	no	—
1286	C₂²×C₄	—	26	2	no	—
1287	C₂²×C₄	—	26	2	no	—
1288	C₂²×C₄	—	26	2	no	—
1289	C₂²×C₄	—	26	2	no	—
1290	C₂²×C₄	—	26	2	no	—
1291	C₂²×C₄	—	26	2	no	—
1292	C₂²×C₄	—	26	2	no	—
1293	C₂²×C₄	—	26	2	no	—
1294	C₂²×C₄	—	26	2	no	—
1295	C₂²×C₄	—	26	2	no	—
1296	C₂²×C₄	—	26	2	no	—
1297	C₂²×C₄	—	26	2	no	—
1298	C₂²×C₄	—	26	2	no	—
1299	C₂²×C₄	—	26	2	no	—
1300	C₂²×C₄	—	26	2	no	—
1301	C₂²×C₄	—	26	2	no	—
1302	C₂²×C₄	—	26	2	no	—
1303	C₂²×C₄	—	26	2	no	—
1304	C₂²×C₄	—	26	2	no	—
1305	C₂²×C₄	—	26	2	no	—
1306	C₂²×C₄	—	26	2	no	—
1307	C₂²×C₄	—	26	2	no	—
1308	C₂²×C₄	—	26	2	no	—
1309	C₂²×C₄	—	26	2	no	—
1310	C₂²×C₄	—	26	2	no	—
1311	C₂²×C₄	—	26	2	no	—
1312	C₂²×C₄	—	26	2	no	—
1313	C₂²×C₄	—	26	2	no	—
1314	C₂²×C₄	—	26	2	no	—
1315	C₂²×C₄	—	26	2	no	—
1316	C₂²×C₄	—	52	1	no	—
1317	C₂²×C₄	—	52	1	no	—
1318	C₂²×C₄	—	52	16	no	—
1319	C₂²×C₄	—	52	1	no	—
1320	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1333	C₄⋊C₄	—	2	2	no	—
1334	C₄⋊C₄	—	2	2	no	—
1335	C₄⋊C₄	—	2	2	no	—
1336	C₄⋊C₄	—	2	2	no	—
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	2	2	no	—
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	4	1	no	—
1342	C₄⋊C₄	—	13	4	no	—
1343	C₄⋊C₄	—	13	4	no	—
1344	C₄⋊C₄	—	13	4	no	—
1345	C₄⋊C₄	—	26	2	no	—
1346	C₄⋊C₄	—	26	2	no	—
1347	C₄⋊C₄	—	26	2	no	—
1348	C₄⋊C₄	—	26	2	no	—
1349	C₄⋊C₄	—	26	2	no	—
1350	C₄⋊C₄	—	26	2	no	—
1351	C₄⋊C₄	—	26	2	no	—
1352	C₄⋊C₄	—	26	2	no	—
1353	C₄⋊C₄	—	26	2	no	—
1354	C₄⋊C₄	—	26	2	no	—
1355	C₄⋊C₄	—	26	2	no	—
1356	C₄⋊C₄	—	26	2	no	—
1357	C₄⋊C₄	—	26	2	no	—
1358	C₄⋊C₄	—	26	2	no	—
1359	C₄⋊C₄	—	26	2	no	—
1360	C₄⋊C₄	—	26	2	no	—
1361	C₄⋊C₄	—	26	2	no	—
1362	C₄⋊C₄	—	26	2	no	—
1363	C₄⋊C₄	—	26	2	no	—
1364	C₄⋊C₄	—	26	2	no	—
1365	C₄⋊C₄	—	26	2	no	—
1366	C₄⋊C₄	—	26	2	no	—
1367	C₄⋊C₄	—	26	2	no	—
1368	C₄⋊C₄	—	26	2	no	—
1369	C₄⋊C₄	—	52	1	no	—
1370	C₄⋊C₄	—	52	1	no	—
1371	C₄⋊C₄	—	52	1	no	—
1372	C₄⋊C₄	D₄×D₁₃	1	4	yes	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	4	1	no	—
1384	C₂²⋊C₄	—	26	2	no	—
1385	C₂²⋊C₄	—	26	2	no	—
1386	C₂²⋊C₄	—	26	2	no	—
1387	C₂²⋊C₄	—	26	2	no	—
1388	C₂²⋊C₄	—	26	2	no	—
1389	C₂²⋊C₄	—	26	2	no	—
1390	C₂²⋊C₄	—	26	2	no	—
1391	C₂²⋊C₄	—	26	2	no	—
1392	C₂²⋊C₄	—	26	2	no	—
1393	C₂²⋊C₄	—	26	2	no	—
1394	C₂²⋊C₄	—	26	2	no	—
1395	C₂²⋊C₄	—	26	2	no	—
1396	C₂²⋊C₄	—	26	2	no	—
1397	C₂²⋊C₄	—	26	2	no	—
1398	C₂²⋊C₄	—	26	2	no	—
1399	C₂²⋊C₄	—	26	2	no	—
1400	C₂²⋊C₄	—	26	2	no	—
1401	C₂²⋊C₄	—	26	2	no	—
1402	C₂²⋊C₄	—	26	2	no	—
1403	C₂²⋊C₄	—	26	2	no	—
1404	C₂²⋊C₄	—	26	2	no	—
1405	C₂²⋊C₄	—	26	2	no	—
1406	C₂²⋊C₄	—	26	2	no	—
1407	C₂²⋊C₄	—	26	2	no	—
1408	C₂²⋊C₄	—	26	2	no	—
1409	C₂²⋊C₄	—	26	2	no	—
1410	C₂²⋊C₄	—	26	2	no	—
1411	C₂²⋊C₄	—	26	2	no	—
1412	C₂²⋊C₄	—	26	2	no	—
1413	C₂²⋊C₄	—	26	2	no	—
1414	C₂²⋊C₄	—	52	1	no	—
1415	C₂²⋊C₄	—	52	1	no	—
1416	C₂²⋊C₄	—	52	1	no	—
1417	C₄²	—	2	2	no	—
1418	C₄²	—	2	2	no	—
1419	C₄²	—	4	1	no	—
1420	C₄²	—	4	1	no	—
1421	C₄²	—	26	2	no	—
1422	C₄²	—	26	2	no	—
1423	C₄²	—	26	2	no	—
1424	C₄²	—	26	2	no	—
1425	C₄²	—	26	2	no	—
1426	C₄²	—	26	2	no	—
1427	C₄²	—	52	1	no	—
1428	C₄²	—	52	1	no	—
1429	C₄²	—	52	1	no	—
1430	C₄²	—	52	1	no	—
1431	C₄²	—	52	1	no	—
1432	C₄²	—	52	1	no	—
1433	C₁₃	C₂×#2558	1	1	yes	characteristic, complemented, Sylow
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	13	2	no	—
1448	C₂³	—	13	2	no	—
1449	C₂³	—	13	2	no	—
1450	C₂³	—	13	2	no	—
1451	C₂³	—	13	2	no	—
1452	C₂³	—	13	2	no	—
1453	C₂³	—	13	2	no	—
1454	C₂³	—	13	2	no	—
1455	C₂³	—	26	8	no	—
1456	C₂³	—	26	8	no	—
1457	C₂³	—	26	8	no	—
1458	C₂³	—	26	1	no	—
1459	C₂³	—	26	1	no	—
1460	C₂³	—	26	1	no	—
1461	C₂³	—	26	1	no	—
1462	C₂³	—	26	1	no	—
1463	C₂³	—	26	1	no	—
1464	C₂³	—	26	1	no	—
1465	C₂³	—	26	1	no	—
1466	C₂³	—	26	1	no	—
1467	C₂³	—	26	1	no	—
1468	C₂³	—	26	1	no	—
1469	C₂³	—	26	1	no	—
1470	C₂³	—	26	1	no	—
1471	C₂³	—	52	4	no	—
1472	C₂³	—	52	4	no	—
1473	C₂³	—	52	4	no	—
1474	C₂³	—	52	4	no	—
1475	C₂³	—	52	4	no	—
1476	C₂³	—	52	4	no	—
1477	C₂³	—	52	4	no	—
1478	C₂³	—	52	4	no	—
1479	C₂³	—	52	4	no	—
1480	C₂³	—	52	4	no	—
1481	C₂³	—	52	4	no	—
1482	C₂³	#41×D₁₃	1	2	yes	—
1483	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1484	D₄	—	4	4	no	—
1485	D₄	—	52	4	no	—
1486	D₄	—	52	4	no	—
1487	D₄	—	52	4	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	4	4	no	—
1522	C₂×C₄	—	13	2	no	—
1523	C₂×C₄	—	13	2	no	—
1524	C₂×C₄	—	13	2	no	—
1525	C₂×C₄	—	13	2	no	—
1526	C₂×C₄	—	13	2	no	—
1527	C₂×C₄	—	13	2	no	—
1528	C₂×C₄	—	26	8	no	—
1529	C₂×C₄	—	26	8	no	—
1530	C₂×C₄	—	26	8	no	—
1531	C₂×C₄	—	26	8	no	—
1532	C₂×C₄	—	26	8	no	—
1533	C₂×C₄	—	26	8	no	—
1534	C₂×C₄	—	26	1	no	—
1535	C₂×C₄	—	26	1	no	—
1536	C₂×C₄	—	26	1	no	—
1537	C₂×C₄	—	26	1	no	—
1538	C₂×C₄	—	26	1	no	—
1539	C₂×C₄	—	26	1	no	—
1540	C₂×C₄	—	26	1	no	—
1541	C₂×C₄	—	26	1	no	—
1542	C₂×C₄	—	26	1	no	—
1543	C₂×C₄	—	26	1	no	—
1544	C₂×C₄	—	26	1	no	—
1545	C₂×C₄	—	26	1	no	—
1546	C₂×C₄	—	26	1	no	—
1547	C₂×C₄	—	26	1	no	—
1548	C₂×C₄	—	26	1	no	—
1549	C₂×C₄	—	26	1	no	—
1550	C₂×C₄	—	26	1	no	—
1551	C₂×C₄	—	26	1	no	—
1552	C₂×C₄	—	26	1	no	—
1553	C₂×C₄	—	26	1	no	—
1554	C₂×C₄	—	26	1	no	—
1555	C₂×C₄	—	26	1	no	—
1556	C₂×C₄	—	26	1	no	—
1557	C₂×C₄	—	26	1	no	—
1558	C₂×C₄	—	26	1	no	—
1559	C₂×C₄	—	26	1	no	—
1560	C₂×C₄	—	26	1	no	—
1561	C₂×C₄	—	26	1	no	—
1562	C₂×C₄	—	26	1	no	—
1563	C₂×C₄	—	26	1	no	—
1564	C₂×C₄	—	26	1	no	—
1565	C₂×C₄	—	26	1	no	—
1566	C₂×C₄	—	26	1	no	—
1567	C₂×C₄	—	52	4	no	—
1568	C₂×C₄	—	52	4	no	—
1569	C₂×C₄	—	52	4	no	—
1570	C₂×C₄	—	52	4	no	—
1571	C₂×C₄	—	52	4	no	—
1572	C₂×C₄	—	52	4	no	—
1573	C₂×C₄	—	52	4	no	—
1574	C₂×C₄	—	52	4	no	—
1575	C₂×C₄	—	52	4	no	—
1576	C₂×C₄	—	52	4	no	—
1577	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1578	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1579	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1580	C₂×C₄	#41×D₁₃	1	2	yes	—
1581	C₂×C₄	#41×D₁₃	1	2	yes	—
1582	C₂×C₄	#41×D₁₃	1	2	yes	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	13	4	no	—
1598	C₂²	—	13	4	no	—
1599	C₂²	—	13	4	no	—
1600	C₂²	—	13	4	no	—
1601	C₂²	—	13	4	no	—
1602	C₂²	—	13	4	no	—
1603	C₂²	—	13	4	no	—
1604	C₂²	—	26	2	no	—
1605	C₂²	—	26	2	no	—
1606	C₂²	—	26	2	no	—
1607	C₂²	—	52	16	no	—
1608	C₂²	—	52	1	no	—
1609	C₂²	—	52	1	no	—
1610	C₂²	—	52	1	no	—
1611	C₂²	—	52	1	no	—
1612	C₂²	—	52	1	no	—
1613	C₂²	—	52	1	no	—
1614	C₂²	—	52	1	no	—
1615	C₂²	—	52	1	no	—
1616	C₂²	—	52	1	no	—
1617	C₂²	—	52	1	no	—
1618	C₂²	—	52	1	no	—
1619	C₂²	—	104	8	no	—
1620	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1621	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1622	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1623	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1624	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1625	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1626	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	26	2	no	—
1641	C₄	—	26	2	no	—
1642	C₄	—	26	2	no	—
1643	C₄	—	26	2	no	—
1644	C₄	—	26	2	no	—
1645	C₄	—	26	2	no	—
1646	C₄	—	52	1	no	—
1647	C₄	—	52	1	no	—
1648	C₄	—	52	1	no	—
1649	C₄	—	52	1	no	—
1650	C₄	—	52	1	no	—
1651	C₄	—	52	1	no	—
1652	C₄	—	52	1	no	—
1653	C₂	—	4	2	no	—
1654	C₂	—	8	1	no	—
1655	C₂	—	13	8	no	—
1656	C₂	—	52	2	no	—
1657	C₂	—	104	1	no	—
1658	C₂	D₁₃×#529	1	1	yes	characteristic
1659	C₂	D₁₃×#532	1	1	yes	characteristic
1660	C₂	D₁₃×#539	1	1	yes	characteristic
1661	C₂	D₁₃×#546	1	1	yes	characteristic
1662	C₂	D₁₃×#548	1	1	yes	characteristic
1663	C₂	D₁₃×#552	1	1	yes	characteristic
1664	C₂	D₁₃×#553	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2558	C₂
prime radical	C₂²×D₄×D₁₃	C₂²
hypercenter	#2558	D₁₃
hypocenter	C₁₃	C₂×#2558
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2558

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₃×#125	C₂	semidirect
3. #13119957	C₂	semidirect
4. #13119956	C₂	semidirect
5. #13119955	C₂	semidirect
6. #13119954	C₂	semidirect
7. #13119953	C₂	semidirect
8. #13119952	C₂	semidirect
9. #13119951	C₂	semidirect
10. #13119950	C₂	semidirect
11. #13119949	C₂	semidirect
12. #13119948	C₂	semidirect
13. #13119947	C₂	semidirect
14. #13119946	C₂	semidirect
15. #13119945	C₂	semidirect
16. #13119944	C₂	semidirect
17. #13119943	C₂	semidirect
18. D₁₃×#400	C₂	semidirect
19. D₁₃×#396	C₂	semidirect
20. D₁₃×#396	C₂	semidirect
23. D₁₃×#389	C₂	semidirect
24. D₁₃×#388	C₂	semidirect
25. D₁₃×#388	C₂	semidirect
26. D₁₃×#388	C₂	semidirect
27. D₁₃×#388	C₂	semidirect
28. D₁₃×#385	C₂	semidirect
29. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2558	C₂	semidirect
34. C₂×C₁₃×#125	C₂²	semidirect
52. C₂×#88144	C₂²	semidirect
53. C₂×#88144	C₂²	semidirect
54. C₂×#88143	C₂²	semidirect
55. C₂×#88143	C₂²	semidirect
56. C₂×#88143	C₂²	semidirect
57. C₂×#88143	C₂²	semidirect
76. C₂×#88124	C₂²	semidirect
77. C₁₃×#400	C₂²	semidirect
78. C₁₃×#396	C₂²	semidirect
79. C₁₃×#396	C₂²	semidirect
82. C₁₃×#389	C₂²	semidirect
83. C₁₃×#388	C₂²	semidirect
84. C₁₃×#388	C₂²	semidirect
85. C₁₃×#388	C₂²	semidirect
86. C₁₃×#388	C₂²	semidirect
87. C₁₃×#385	C₂²	semidirect
88. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
89. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
92. #11718871	C₂²	semidirect
93. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
94. #11718655	C₂²	semidirect
95. #11718655	C₂²	semidirect
96. #11718655	C₂²	semidirect
97. #11718655	C₂²	semidirect
98. #11718655	C₂²	semidirect
99. #11718655	C₂²	semidirect
101. #11718651	C₂²	semidirect
102. #11718651	C₂²	semidirect
103. #11718651	C₂²	semidirect
104. #11718651	C₂²	semidirect
105. #11718650	C₂²	semidirect
106. #11718650	C₂²	semidirect
108. #11718647	C₂²	semidirect
109. #11718646	C₂²	semidirect
110. #11718643	C₂²	semidirect
111. C₄⋊C₄×Dic₁₃	C₂²	semidirect
112. C₄⋊C₄×Dic₁₃	C₂²	semidirect
113. #11718634	C₂²	semidirect
114. #11718633	C₂²	semidirect
115. #11718633	C₂²	semidirect
124. #11718612	C₂²	semidirect
125. #11718612	C₂²	semidirect
126. #11718612	C₂²	semidirect
127. #11718612	C₂²	semidirect
128. #11718611	C₂²	semidirect
129. #11718609	C₂²	semidirect
130. #11718609	C₂²	semidirect
131. #11718609	C₂²	semidirect
132. #11718609	C₂²	semidirect
133. #11718609	C₂²	semidirect
134. #11718609	C₂²	semidirect
135. #11718607	C₂²	semidirect
136. #11718606	C₂²	semidirect
137. #11718606	C₂²	semidirect
138. #11718606	C₂²	semidirect
139. #11718606	C₂²	semidirect
140. #11718605	C₂²	semidirect
141. #11718605	C₂²	semidirect
142. #11718605	C₂²	semidirect
143. #11718605	C₂²	semidirect
144. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
145. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
146. #11718601	C₂²	semidirect
147. #11718601	C₂²	semidirect
148. #11718601	C₂²	semidirect
149. #11718601	C₂²	semidirect
151. C₄×#6103	C₂²	semidirect
152. C₄×#6103	C₂²	semidirect
153. C₄×C₄⋊Dic₁₃	C₂²	semidirect
154. C₄×#6101	C₂²	semidirect
155. C₄×#6101	C₂²	semidirect
156. #11718589	C₂²	semidirect
157. #11718337	C₂²	semidirect
158. #11718337	C₂²	semidirect
160. #11718331	C₂²	semidirect
161. #11718331	C₂²	semidirect
162. #11718331	C₂²	semidirect
163. #11718331	C₂²	semidirect
164. #11718330	C₂²	semidirect
165. #11718330	C₂²	semidirect
166. #11718330	C₂²	semidirect
167. #11718330	C₂²	semidirect
168. #11718329	C₂²	semidirect
169. #11718329	C₂²	semidirect
170. #11718327	C₂²	semidirect
171. #11718327	C₂²	semidirect
180. #11718321	C₂²	semidirect
181. #11718321	C₂²	semidirect
182. #11718320	C₂²	semidirect
183. #11718319	C₂²	semidirect
184. #11718319	C₂²	semidirect
185. #11718310	C₂²	semidirect
186. #11718310	C₂²	semidirect
187. #11718308	C₂²	semidirect
188. #11718308	C₂²	semidirect
619. #2558	D₁₃	direct (N × H)
792. C₂×#125	C₂×D₁₃	semidirect
834. #400	C₂×D₁₃	semidirect
849. #396	C₂×D₁₃	semidirect
850. #396	C₂×D₁₃	semidirect
874. #389	C₂×D₁₃	semidirect
903. #388	C₂×D₁₃	semidirect
904. #388	C₂×D₁₃	semidirect
905. #388	C₂×D₁₃	semidirect
906. #388	C₂×D₁₃	semidirect
914. #385	C₂×D₁₃	semidirect
922. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
930. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
1222. D₁₃	#2558	direct (N × H)
1433. C₁₃	C₂×#2558	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#125	2
C₂×D₁₃×#123	2
#13119957	2
#13119956	2
#13119955	2
#13119954	2
#13119953	2
#13119952	2
#13119951	2
#13119950	2
#13119949	2
#13119948	2
#13119947	2
#13119946	2
#13119945	2
#13119944	2
#13119943	2
D₁₃×#400	2
D₁₃×#396	2
D₁₃×#394	2
D₁₃×#390	2
D₁₃×#389	2
D₁₃×#388	2
D₁₃×#385	2
C₄×C₄⋊C₄×D₁₃	2
C₄×C₂²⋊C₄×D₁₃	2
C₁₃×#2558	2
C₂×#2558	13

Subgroups — D13×#2558 #16033056

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2558 #16033056