Subgroups — #16026291

Order 3328.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719358	C₂	1	1	yes	maximal, characteristic
2	#13117991	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117991	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117980	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117976	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117967	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117876	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117873	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117835	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117833	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117823	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117821	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117814	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117684	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117684	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²⋊C₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117656	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117630	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117599	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117596	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117528	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117524	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117498	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117495	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117492	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117489	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117415	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88136	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117337	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂³×D₅₂	C₂²	1	1	yes	characteristic
34	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×#88191	C₂²	1	1	yes	characteristic
37	C₂×#88183	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
39	#11719358	C₄	1	16	yes	complemented
40	C₂×#88149	C₂²	1	1	yes	characteristic
41	C₂×#88149	C₂²	1	1	yes	characteristic
42	C₂×#88148	C₂²	1	1	yes	characteristic
43	C₂×#88148	C₂²	1	1	yes	characteristic
44	C₂×#88147	C₂²	1	1	yes	characteristic
45	C₂×#88147	C₂²	1	1	yes	characteristic
46	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88138	C₂²	1	1	yes	characteristic
51	C₂×#88138	C₂²	1	1	yes	characteristic
52	C₂×#88136	C₂²	1	1	yes	characteristic
53	C₂×#88136	C₂²	1	1	yes	characteristic
54	C₂×#88136	C₂²	1	1	yes	characteristic
55	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#390	C₂²	1	1	yes	characteristic
67	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#386	C₂²	1	1	yes	characteristic
75	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
79	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
80	#11718882	C₂²	1	1	yes	characteristic
81	#11718881	C₂²	1	1	yes	characteristic
82	#11718874	C₂²	1	1	yes	characteristic, complemented
83	#11718874	C₂²	1	1	yes	characteristic, complemented
84	#11718873	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
86	#11718651	C₂²	1	1	yes	characteristic, complemented
87	#11718651	C₂²	1	1	yes	characteristic, complemented
88	#11718651	C₂²	1	1	yes	characteristic, complemented
89	#11718650	C₂²	1	1	yes	characteristic, complemented
90	#11718650	C₂²	1	1	yes	characteristic, complemented
91	#11718650	C₂²	1	1	yes	characteristic, complemented
92	#11718650	C₂²	1	1	yes	characteristic, complemented
93	#11718650	C₂²	1	1	yes	characteristic, complemented
94	#11718649	C₂²	1	1	yes	characteristic, complemented
95	#11718649	C₂²	1	1	yes	characteristic, complemented
96	#11718649	C₂²	1	1	yes	characteristic, complemented
97	#11718649	C₂²	1	1	yes	characteristic, complemented
98	#11718646	C₂²	1	1	yes	characteristic, complemented
99	#11718642	C₂²	1	1	yes	characteristic, complemented
100	#11718642	C₂²	1	1	yes	characteristic, complemented
101	#11718639	C₂²	1	1	yes	characteristic, complemented
102	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
103	#11718633	C₂²	1	1	yes	characteristic, complemented
104	#11718619	C₂²	1	1	yes	characteristic, complemented
105	#11718619	C₂²	1	1	yes	characteristic, complemented
106	#11718618	C₂²	1	1	yes	characteristic
107	#11718618	C₂²	1	1	yes	characteristic
108	#11718618	C₂²	1	1	yes	characteristic, complemented
109	#11718618	C₂²	1	1	yes	characteristic, complemented
110	#11718618	C₂²	1	1	yes	characteristic, complemented
111	#11718618	C₂²	1	1	yes	characteristic, complemented
112	#11718617	C₂²	1	1	yes	characteristic
113	#11718617	C₂²	1	1	yes	characteristic
114	#11718617	C₂²	1	1	yes	characteristic, complemented
115	#11718617	C₂²	1	1	yes	characteristic, complemented
116	#11718616	C₂²	1	1	yes	characteristic
117	#11718616	C₂²	1	1	yes	characteristic
118	#11718616	C₂²	1	1	yes	characteristic, complemented
119	#11718616	C₂²	1	1	yes	characteristic, complemented
120	#11718616	C₂²	1	1	yes	characteristic, complemented
121	#11718616	C₂²	1	1	yes	characteristic, complemented
122	#11718612	C₂²	1	1	yes	characteristic, complemented
123	#11718612	C₂²	1	1	yes	characteristic, complemented
124	#11718612	C₂²	1	1	yes	characteristic, complemented
125	#11718612	C₂²	1	1	yes	characteristic, complemented
126	#11718611	C₂²	1	1	yes	characteristic, complemented
127	#11718606	C₂²	1	1	yes	characteristic, complemented
128	#11718606	C₂²	1	1	yes	characteristic, complemented
129	#11718605	C₂²	1	1	yes	characteristic, complemented
130	#11718605	C₂²	1	1	yes	characteristic, complemented
131	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
132	#11718601	C₂²	1	1	yes	characteristic, complemented
133	#11718601	C₂²	1	1	yes	characteristic, complemented
134	#11718601	C₂²	1	1	yes	characteristic, complemented
135	#11718600	C₂²	1	1	yes	characteristic, complemented
136	#11718600	C₂²	1	1	yes	characteristic, complemented
137	#11718600	C₂²	1	1	yes	characteristic, complemented
138	#11718600	C₂²	1	1	yes	characteristic, complemented
139	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
140	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
145	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
146	#11718594	C₂²	1	1	yes	characteristic, complemented
147	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
148	#11718331	C₂²	1	1	yes	characteristic, complemented
149	#11718331	C₂²	1	1	yes	characteristic, complemented
150	#11718331	C₂²	1	1	yes	characteristic, complemented
151	#11718330	C₂²	1	1	yes	characteristic, complemented
152	#11718330	C₂²	1	1	yes	characteristic, complemented
153	#11718330	C₂²	1	1	yes	characteristic, complemented
154	#11718329	C₂²	1	1	yes	characteristic, complemented
155	#11718329	C₂²	1	1	yes	characteristic, complemented
156	#11718329	C₂²	1	1	yes	characteristic, complemented
157	#11718329	C₂²	1	1	yes	characteristic, complemented
158	#11718329	C₂²	1	1	yes	characteristic, complemented
159	#11718328	C₂²	1	1	yes	characteristic, complemented
160	#11718328	C₂²	1	1	yes	characteristic, complemented
161	#11718327	C₂²	1	1	yes	characteristic, complemented
162	#11718327	C₂²	1	1	yes	characteristic, complemented
163	#11718327	C₂²	1	1	yes	characteristic, complemented
164	#11718327	C₂²	1	1	yes	characteristic, complemented
165	#11718327	C₂²	1	1	yes	characteristic, complemented
166	#11718326	C₂²	1	1	yes	characteristic
167	#11718326	C₂²	1	1	yes	characteristic
168	#11718326	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic
170	#11718326	C₂²	1	1	yes	characteristic, complemented
171	#11718326	C₂²	1	1	yes	characteristic, complemented
172	#11718326	C₂²	1	1	yes	characteristic, complemented
173	#11718326	C₂²	1	1	yes	characteristic, complemented
174	#11718326	C₂²	1	1	yes	characteristic, complemented
175	#11718326	C₂²	1	1	yes	characteristic, complemented
176	#11718326	C₂²	1	1	yes	characteristic, complemented
177	#11718326	C₂²	1	1	yes	characteristic, complemented
178	#11718326	C₂²	1	1	yes	characteristic, complemented
179	#11718326	C₂²	1	1	yes	characteristic, complemented
180	#11718325	C₂²	1	1	yes	characteristic, complemented
181	#11718325	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#95	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#95	C₂²	1	1	yes	characteristic, complemented
184	#11718316	C₂²	1	1	yes	characteristic, complemented
185	#11718313	C₂²	1	1	yes	characteristic, complemented
186	#11718310	C₂²	1	1	yes	characteristic, complemented
187	#11718308	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂×D₄×D₁₃	—	4	2	no	—
200	C₂×D₄×D₁₃	—	4	2	no	—
201	C₂×D₄×D₁₃	C₂×C₄	1	8	yes	complemented
202	C₂²×D₅₂	—	4	2	no	—
203	C₂²×D₅₂	—	4	2	no	—
204	C₂²×D₅₂	C₂×C₄	1	8	yes	complemented
205	C₂²×D₅₂	C₂³	1	1	yes	characteristic
206	C₂²×D₅₂	C₂³	1	1	yes	characteristic
207	C₂²×D₅₂	C₂³	1	1	yes	characteristic
208	C₂²×D₅₂	C₂³	1	1	yes	characteristic
209	C₂²×D₅₂	C₂³	1	1	yes	characteristic
210	C₂²×D₅₂	C₂³	1	1	yes	characteristic
211	C₂²×D₅₂	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	—	4	2	no	—
213	C₂²×C₄×D₁₃	—	4	2	no	—
214	C₂²×C₄×D₁₃	—	4	2	no	—
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	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₁₃×#123	C₂×C₄	1	8	yes	complemented
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄²×C₁₃	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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	#88191	C₂×C₄	1	8	yes	complemented
260	#88183	C₂×C₄	1	8	yes	complemented
261	C₄×C₂²⋊D₁₃	—	4	2	no	—
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×#6103	C₂³	1	1	yes	characteristic
281	C₂×#6103	C₂³	1	1	yes	characteristic
282	C₂×#6103	C₂³	1	1	yes	characteristic
283	C₂×#6103	C₂³	1	1	yes	characteristic
284	C₂×#6103	C₂³	1	1	yes	characteristic
285	C₂×#6103	C₂³	1	1	yes	characteristic
286	C₂×#6103	C₂³	1	1	yes	characteristic
287	C₂×#6103	C₂³	1	1	yes	characteristic
288	C₂×#6103	C₂³	1	1	yes	characteristic
289	C₂×#6103	C₂³	1	1	yes	characteristic
290	C₂×#6103	C₂³	1	1	yes	characteristic
291	C₂×#6103	C₂³	1	1	yes	characteristic
292	C₂×#6103	C₂³	1	1	yes	characteristic
293	C₂×#6103	C₂³	1	1	yes	characteristic
294	C₂×#6103	C₂³	1	1	yes	characteristic
295	C₂×#6103	C₂³	1	1	yes	characteristic
296	C₂×#6103	C₂³	1	1	yes	characteristic
297	C₂×#6103	C₂³	1	1	yes	characteristic
298	C₂×#6103	C₂³	1	1	yes	characteristic
299	C₂×#6103	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×#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×#6101	C₂³	1	1	yes	characteristic
311	C₂×#6101	C₂³	1	1	yes	characteristic
312	C₂×#6101	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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
324	#88149	C₂×C₄	1	8	yes	complemented
325	#88149	C₂×C₄	1	8	yes	complemented
326	#88148	C₂×C₄	1	8	yes	complemented
327	#88148	C₂×C₄	1	8	yes	complemented
328	#88147	—	4	2	no	—
329	#88147	—	4	2	no	—
330	#88147	—	4	2	no	—
331	#88146	—	4	2	no	—
332	#88146	—	4	2	no	—
333	#88146	—	4	2	no	—
334	#88138	C₂×C₄	1	8	yes	complemented
335	#88138	C₂×C₄	1	8	yes	complemented
336	#88136	C₂×C₄	1	8	yes	complemented
337	#88136	C₂×C₄	1	8	yes	complemented
338	#88136	C₂×C₄	1	8	yes	complemented
339	#88135	—	4	2	no	—
340	C₂²⋊C₄×D₁₃	—	4	2	no	—
341	C₂²⋊C₄×D₁₃	—	4	2	no	—
342	C₂²⋊C₄×D₁₃	—	4	2	no	—
343	C₂²⋊C₄×D₁₃	—	4	2	no	—
344	C₂²⋊C₄×D₁₃	—	4	2	no	—
345	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
346	C₄×D₅₂	—	4	2	no	—
347	C₄×D₅₂	—	4	2	no	—
348	C₄×D₅₂	—	4	2	no	—
349	#88126	—	4	2	no	—
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	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	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	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	#34407	—	13	1	no	maximal, Sylow
383	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂³×D₁₃	—	2	2	no	—
386	C₂³×D₁₃	—	2	2	no	—
387	C₂³×D₁₃	—	2	2	no	—
388	C₂³×D₁₃	—	2	2	no	—
389	C₂³×D₁₃	—	4	1	no	—
390	C₂³×D₁₃	—	4	1	no	—
391	C₂³×D₁₃	—	4	1	no	—
392	C₂³×D₁₃	—	4	1	no	—
393	C₂³×D₁₃	—	4	1	no	—
394	C₂³×D₁₃	—	4	1	no	—
395	C₂³×D₁₃	—	4	1	no	—
396	C₂³×D₁₃	—	4	1	no	—
397	C₂³×D₁₃	—	4	1	no	—
398	C₂³×D₁₃	—	4	1	no	—
399	C₂³×D₁₃	—	4	1	no	—
400	C₂³×D₁₃	—	4	1	no	—
401	C₂³×D₁₃	—	4	1	no	—
402	C₂³×D₁₃	—	4	1	no	—
403	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
404	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
405	C₂³×D₁₃	C₂²×C₄	1	4	yes	complemented
406	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
407	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
412	C₂×D₄×C₁₃	—	4	1	no	—
413	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
414	C₂²×C₄×C₁₃	—	2	2	no	—
415	C₂²×C₄×C₁₃	—	4	1	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	—	4	1	no	—
418	C₂²×C₄×C₁₃	—	4	1	no	—
419	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂×C₂²⋊D₁₃	—	4	1	no	—
434	C₂×C₂²⋊D₁₃	—	4	1	no	—
435	C₂×C₂²⋊D₁₃	—	4	1	no	—
436	C₂×C₂²⋊D₁₃	—	4	1	no	—
437	C₂×C₂²⋊D₁₃	—	4	1	no	—
438	C₂×C₂²⋊D₁₃	—	4	1	no	—
439	C₂×C₂²⋊D₁₃	—	4	1	no	—
440	C₂×C₂²⋊D₁₃	—	4	1	no	—
441	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
442	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
443	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
444	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
445	C₂²×Dic₁₃	—	2	2	no	—
446	C₂²×Dic₁₃	—	4	1	no	—
447	C₂²×Dic₁₃	—	4	1	no	—
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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
459	D₄×D₁₃	—	4	16	no	—
460	C₂×D₅₂	—	2	2	no	—
461	C₂×D₅₂	—	2	2	no	—
462	C₂×D₅₂	—	2	2	no	—
463	C₂×D₅₂	—	2	2	no	—
464	C₂×D₅₂	—	4	16	no	—
465	C₂×D₅₂	—	4	1	no	—
466	C₂×D₅₂	—	4	1	no	—
467	C₂×D₅₂	—	4	1	no	—
468	C₂×D₅₂	—	4	1	no	—
469	C₂×D₅₂	—	4	1	no	—
470	C₂×D₅₂	—	4	1	no	—
471	C₂×D₅₂	—	4	1	no	—
472	C₂×D₅₂	—	4	1	no	—
473	C₂×D₅₂	—	4	1	no	—
474	C₂×D₅₂	—	4	1	no	—
475	C₂×D₅₂	C₂²×C₄	1	4	yes	—
476	C₂×D₅₂	C₂²×C₄	1	4	yes	—
477	C₂×D₅₂	C₂²×C₄	1	4	yes	—
478	C₂×D₅₂	C₂²×C₄	1	4	yes	—
479	C₂×D₅₂	C₂²×C₄	1	4	yes	—
480	C₂×D₅₂	C₂²×C₄	1	4	yes	complemented
481	C₂×D₅₂	C₂²×C₄	1	4	yes	complemented
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	—	2	2	no	—
494	C₂×C₄×D₁₃	—	4	1	no	—
495	C₂×C₄×D₁₃	—	4	1	no	—
496	C₂×C₄×D₁₃	—	4	1	no	—
497	C₂×C₄×D₁₃	—	4	1	no	—
498	C₂×C₄×D₁₃	—	4	1	no	—
499	C₂×C₄×D₁₃	—	4	1	no	—
500	C₂×C₄×D₁₃	—	4	1	no	—
501	C₂×C₄×D₁₃	—	4	1	no	—
502	C₂×C₄×D₁₃	—	4	1	no	—
503	C₂×C₄×D₁₃	—	4	1	no	—
504	C₂×C₄×D₁₃	—	4	16	no	—
505	C₂×C₄×D₁₃	—	4	1	no	—
506	C₂×C₄×D₁₃	—	4	1	no	—
507	C₂×C₄×D₁₃	—	4	1	no	—
508	C₂×C₄×D₁₃	—	4	1	no	—
509	C₂×C₄×D₁₃	—	4	1	no	—
510	C₂×C₄×D₁₃	—	4	1	no	—
511	C₂×C₄×D₁₃	—	4	1	no	—
512	C₂×C₄×D₁₃	—	4	1	no	—
513	C₂×C₄×D₁₃	—	4	1	no	—
514	C₂×C₄×D₁₃	—	4	1	no	—
515	C₂×C₄×D₁₃	—	4	1	no	—
516	C₂×C₄×D₁₃	—	4	1	no	—
517	C₂×C₄×D₁₃	—	4	1	no	—
518	C₂×C₄×D₁₃	—	4	1	no	—
519	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
520	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	complemented
521	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	complemented
522	C₁₃×C₄⋊C₄	—	2	2	no	—
523	C₁₃×C₄⋊C₄	—	4	1	no	—
524	C₁₃×C₄⋊C₄	—	4	1	no	—
525	C₁₃×C₄⋊C₄	—	4	1	no	—
526	C₁₃×C₄⋊C₄	—	4	1	no	—
527	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
528	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
529	C₁₃×C₂²⋊C₄	—	2	2	no	—
530	C₁₃×C₂²⋊C₄	—	4	1	no	—
531	C₁₃×C₂²⋊C₄	—	4	1	no	—
532	C₁₃×C₂²⋊C₄	—	4	1	no	—
533	C₁₃×C₂²⋊C₄	—	4	1	no	—
534	C₁₃×C₂²⋊C₄	—	4	1	no	—
535	C₁₃×C₂²⋊C₄	—	4	1	no	—
536	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
537	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
538	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
539	C₄²×C₁₃	—	4	1	no	—
540	C₄²×C₁₃	—	4	1	no	—
541	C₄²×C₁₃	—	4	1	no	—
542	C₄²×C₁₃	—	4	1	no	—
543	C₄²×C₁₃	—	4	1	no	—
544	C₂²⋊Dic₁₃	—	2	2	no	—
545	C₂²⋊Dic₁₃	—	4	1	no	—
546	C₂²⋊Dic₁₃	—	4	1	no	—
547	C₂²⋊Dic₁₃	—	4	1	no	—
548	C₂²⋊Dic₁₃	—	4	1	no	—
549	C₂²⋊Dic₁₃	—	4	1	no	—
550	C₂²⋊Dic₁₃	—	4	1	no	—
551	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
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	—	2	2	no	—
559	#6103	—	2	2	no	—
560	#6103	—	4	1	no	—
561	#6103	—	4	1	no	—
562	#6103	—	4	1	no	—
563	#6103	—	4	1	no	—
564	#6103	—	4	1	no	—
565	#6103	—	4	1	no	—
566	#6103	—	4	1	no	—
567	#6103	—	4	1	no	—
568	#6103	—	4	1	no	—
569	#6103	—	4	1	no	—
570	#6103	—	4	1	no	—
571	#6103	—	4	1	no	—
572	#6103	—	4	1	no	—
573	#6103	—	4	1	no	—
574	#6103	—	4	1	no	—
575	#6103	—	4	1	no	—
576	#6103	—	4	1	no	—
577	#6103	—	4	1	no	—
578	#6103	—	4	1	no	—
579	#6103	—	4	1	no	—
580	#6103	—	4	1	no	—
581	#6103	—	4	1	no	—
582	#6103	C₂²×C₄	1	4	yes	—
583	#6103	C₂²×C₄	1	4	yes	—
584	#6103	C₂²×C₄	1	4	yes	—
585	#6103	C₂²×C₄	1	4	yes	—
586	#6103	C₂²×C₄	1	4	yes	complemented
587	#6103	C₂²×C₄	1	4	yes	complemented
588	#6103	C₂²×C₄	1	4	yes	complemented
589	#6103	C₂²×C₄	1	4	yes	complemented
590	C₄⋊Dic₁₃	—	2	2	no	—
591	C₄⋊Dic₁₃	—	4	1	no	—
592	C₄⋊Dic₁₃	—	4	1	no	—
593	C₄⋊Dic₁₃	—	4	1	no	—
594	C₄⋊Dic₁₃	—	4	1	no	—
595	#6101	—	4	1	no	—
596	#6101	—	4	1	no	—
597	#6101	—	4	1	no	—
598	#6101	—	4	1	no	—
599	#6101	—	4	1	no	—
600	#6101	—	4	1	no	—
601	#6101	C₂²×C₄	1	4	yes	complemented
602	#6101	C₂²×C₄	1	4	yes	complemented
603	C₄×Dic₁₃	—	2	2	no	—
604	C₄×Dic₁₃	—	2	2	no	—
605	C₄×Dic₁₃	—	4	1	no	—
606	C₄×Dic₁₃	—	4	1	no	—
607	C₄×Dic₁₃	—	4	1	no	—
608	C₄×Dic₁₃	—	4	1	no	—
609	C₄×Dic₁₃	—	4	1	no	—
610	C₄×Dic₁₃	—	4	1	no	—
611	C₄×Dic₁₃	—	4	1	no	—
612	C₄×Dic₁₃	—	4	1	no	—
613	C₄×Dic₁₃	—	4	1	no	—
614	C₂×#534	—	13	1	no	—
615	#2377	—	13	1	no	—
616	#2377	—	13	1	no	—
617	#2376	—	13	1	no	—
618	#2375	—	13	1	no	—
619	#2374	—	13	1	no	—
620	#2363	—	13	1	no	—
621	#2363	—	13	1	no	—
622	#2359	—	13	1	no	—
623	#2359	—	13	1	no	—
624	#2359	—	13	1	no	—
625	#2359	—	13	1	no	—
626	#2358	—	13	1	no	—
627	#2342	—	13	1	no	—
628	#2342	—	13	1	no	—
629	D₄×C₂²⋊C₄	—	13	1	no	—
630	D₄×C₂²⋊C₄	—	13	1	no	—
631	#2335	—	13	1	no	—
632	#2335	D₁₃	1	1	yes	characteristic, complemented
633	#2333	—	13	1	no	—
634	#2333	—	13	1	no	—
635	#2324	—	13	1	no	—
636	#2324	—	13	1	no	—
637	#2321	—	13	1	no	—
638	#2321	—	13	1	no	—
639	#2321	—	13	1	no	—
640	#2321	—	13	1	no	—
641	#2309	—	13	1	no	—
642	C₄×#120	—	13	1	no	—
643	C₄×#120	—	13	1	no	—
644	C₂×#386	—	13	1	no	—
645	C₂³×C₁₃	—	2	1	no	—
646	C₂³×C₁₃	—	2	1	no	—
647	C₂³×C₁₃	—	2	1	no	—
648	C₂³×C₁₃	—	2	1	no	—
649	C₂³×C₁₃	—	2	1	no	—
650	C₂³×C₁₃	—	2	1	no	—
651	C₂³×C₁₃	—	2	1	no	—
652	C₂³×C₁₃	—	2	1	no	—
653	C₂³×C₁₃	—	2	1	no	—
654	C₂³×C₁₃	—	2	1	no	—
655	C₂³×C₁₃	—	2	1	no	—
656	C₂³×C₁₃	—	2	1	no	—
657	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
658	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
659	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
665	C₂²×D₁₃	—	2	1	no	—
666	C₂²×D₁₃	—	2	1	no	—
667	C₂²×D₁₃	—	2	1	no	—
668	C₂²×D₁₃	—	2	1	no	—
669	C₂²×D₁₃	—	2	1	no	—
670	C₂²×D₁₃	—	2	1	no	—
671	C₂²×D₁₃	—	2	1	no	—
672	C₂²×D₁₃	—	2	1	no	—
673	C₂²×D₁₃	—	2	1	no	—
674	C₂²×D₁₃	—	2	1	no	—
675	C₂²×D₁₃	—	2	1	no	—
676	C₂²×D₁₃	—	2	1	no	—
677	C₂²×D₁₃	—	2	1	no	—
678	C₂²×D₁₃	—	2	1	no	—
679	C₂²×D₁₃	—	2	1	no	—
680	C₂²×D₁₃	—	2	1	no	—
681	C₂²×D₁₃	—	2	1	no	—
682	C₂²×D₁₃	—	2	1	no	—
683	C₂²×D₁₃	—	2	1	no	—
684	C₂²×D₁₃	—	2	1	no	—
685	C₂²×D₁₃	—	2	1	no	—
686	C₂²×D₁₃	—	2	1	no	—
687	C₂²×D₁₃	—	2	1	no	—
688	C₂²×D₁₃	—	2	8	no	—
689	C₂²×D₁₃	—	2	8	no	—
690	C₂²×D₁₃	—	4	4	no	—
691	C₂²×D₁₃	—	4	4	no	—
692	C₂²×D₁₃	—	4	4	no	—
693	C₂²×D₁₃	—	4	4	no	—
694	C₂²×D₁₃	—	4	4	no	—
695	C₂²×D₁₃	—	4	4	no	—
696	C₂²×D₁₃	—	4	4	no	—
697	C₂²×D₁₃	—	4	4	no	—
698	C₂²×D₁₃	—	4	4	no	—
699	C₂²×D₁₃	—	4	4	no	—
700	C₂²×D₁₃	—	4	4	no	—
701	C₂²×D₁₃	—	8	2	no	—
702	C₂²×D₁₃	—	8	2	no	—
703	C₂²×D₁₃	—	8	2	no	—
704	C₂²×D₁₃	—	8	2	no	—
705	C₂²×D₁₃	—	8	2	no	—
706	C₂²×D₁₃	—	8	2	no	—
707	C₂²×D₁₃	—	8	2	no	—
708	C₂²×D₁₃	—	8	2	no	—
709	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
710	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
711	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
712	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
713	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
714	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
715	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
716	D₄×C₁₃	—	4	4	no	—
717	C₂×C₄×C₁₃	—	2	1	no	—
718	C₂×C₄×C₁₃	—	2	1	no	—
719	C₂×C₄×C₁₃	—	2	1	no	—
720	C₂×C₄×C₁₃	—	2	1	no	—
721	C₂×C₄×C₁₃	—	2	1	no	—
722	C₂×C₄×C₁₃	—	2	1	no	—
723	C₂×C₄×C₁₃	—	2	1	no	—
724	C₂×C₄×C₁₃	—	2	1	no	—
725	C₂×C₄×C₁₃	—	2	1	no	—
726	C₂×C₄×C₁₃	—	2	1	no	—
727	C₂×C₄×C₁₃	—	2	1	no	—
728	C₂×C₄×C₁₃	—	2	1	no	—
729	C₂×C₄×C₁₃	—	2	1	no	—
730	C₂×C₄×C₁₃	—	2	1	no	—
731	C₂×C₄×C₁₃	—	2	1	no	—
732	C₂×C₄×C₁₃	—	2	1	no	—
733	C₂×C₄×C₁₃	—	2	1	no	—
734	C₂×C₄×C₁₃	—	2	1	no	—
735	C₂×C₄×C₁₃	—	2	1	no	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	1	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	1	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	4	4	no	—
751	C₂×C₄×C₁₃	—	4	4	no	—
752	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
753	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
754	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
755	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
756	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
757	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
758	C₂²⋊D₁₃	—	4	4	no	—
759	C₂²⋊D₁₃	—	4	4	no	—
760	C₂²⋊D₁₃	—	4	4	no	—
761	C₂²⋊D₁₃	—	4	4	no	—
762	C₂×Dic₁₃	—	2	1	no	—
763	C₂×Dic₁₃	—	2	1	no	—
764	C₂×Dic₁₃	—	2	1	no	—
765	C₂×Dic₁₃	—	2	1	no	—
766	C₂×Dic₁₃	—	2	1	no	—
767	C₂×Dic₁₃	—	2	1	no	—
768	C₂×Dic₁₃	—	2	1	no	—
769	C₂×Dic₁₃	—	2	1	no	—
770	C₂×Dic₁₃	—	2	1	no	—
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	2	1	no	—
777	C₂×Dic₁₃	—	2	1	no	—
778	C₂×Dic₁₃	—	2	1	no	—
779	C₂×Dic₁₃	—	2	1	no	—
780	C₂×Dic₁₃	—	2	1	no	—
781	C₂×Dic₁₃	—	2	1	no	—
782	C₂×Dic₁₃	—	2	1	no	—
783	C₂×Dic₁₃	—	2	1	no	—
784	C₂×Dic₁₃	—	2	1	no	—
785	C₂×Dic₁₃	—	2	1	no	—
786	C₂×Dic₁₃	—	2	1	no	—
787	C₂×Dic₁₃	—	2	1	no	—
788	C₂×Dic₁₃	—	2	1	no	—
789	C₂×Dic₁₃	—	2	1	no	—
790	C₂×Dic₁₃	—	2	1	no	—
791	C₂×Dic₁₃	—	4	4	no	—
792	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
793	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
794	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
795	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
796	D₅₂	—	2	8	no	—
797	D₅₂	—	2	8	no	—
798	D₅₂	—	4	4	no	—
799	D₅₂	—	4	4	no	—
800	D₅₂	—	4	4	no	—
801	D₅₂	—	4	4	no	—
802	D₅₂	—	4	4	no	—
803	C₄×D₁₃	—	2	8	no	—
804	C₄×D₁₃	—	4	4	no	—
805	C₄×D₁₃	—	4	4	no	—
806	C₄×D₁₃	—	4	4	no	—
807	C₄×D₁₃	—	4	4	no	—
808	C₄×D₁₃	—	4	4	no	—
809	C₄×D₁₃	—	4	4	no	—
810	C₄×D₁₃	—	8	2	no	—
811	C₄×D₁₃	—	8	2	no	—
812	C₄×D₁₃	—	8	2	no	—
813	C₄×D₁₃	—	8	2	no	—
814	C₄×D₁₃	—	8	2	no	—
815	C₄×D₁₃	—	8	2	no	—
816	C₂³×D₄	—	13	1	no	—
817	C₂³×D₄	—	13	1	no	—
818	C₂⁴×C₄	—	13	1	no	—
819	#534	—	13	16	no	—
820	C₂×#123	—	13	1	no	—
821	C₂×#123	—	13	1	no	—
822	C₂×#123	—	13	1	no	—
823	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
824	C₂×#121	—	13	1	no	—
825	C₂×#121	—	13	1	no	—
826	C₂×#121	—	13	1	no	—
827	C₂×#121	—	13	1	no	—
828	C₂×#120	—	13	1	no	—
829	C₂×#120	—	13	1	no	—
830	C₂×#120	—	13	1	no	—
831	C₂×#120	—	13	1	no	—
832	C₂×C₄×D₄	—	13	1	no	—
833	C₂×C₄×D₄	—	13	1	no	—
834	C₂×C₄×D₄	—	13	1	no	—
835	C₂×C₄×D₄	—	13	1	no	—
836	C₂×C₄×D₄	—	13	1	no	—
837	C₂×C₄×D₄	—	13	1	no	—
838	C₂×C₄×D₄	—	13	1	no	—
839	C₂×C₄×D₄	—	13	1	no	—
840	C₂×#117	—	13	1	no	—
841	C₂×#117	—	13	1	no	—
842	C₂×#117	—	13	1	no	—
843	C₂×#117	—	13	1	no	—
844	C₂²×C₂²⋊C₄	—	13	1	no	—
845	C₂²×C₂²⋊C₄	—	13	1	no	—
846	C₂²×C₂²⋊C₄	—	13	1	no	—
847	C₂²×C₂²⋊C₄	—	13	1	no	—
848	C₂²×C₂²⋊C₄	—	13	1	no	—
849	C₂²×C₂²⋊C₄	—	13	1	no	—
850	#390	—	13	1	no	—
851	#390	—	13	1	no	—
852	#390	—	13	1	no	—
853	#390	—	13	1	no	—
854	#390	—	13	1	no	—
855	#390	—	13	1	no	—
856	#390	—	13	1	no	—
857	#390	—	13	1	no	—
858	#390	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic
866	#389	—	13	1	no	—
867	#389	—	13	1	no	—
868	#389	—	13	1	no	—
869	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
870	#388	—	13	1	no	—
871	#388	—	13	1	no	—
872	#388	—	13	1	no	—
873	#388	—	13	1	no	—
874	#388	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
891	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
892	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
893	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
894	#387	—	13	1	no	—
895	#387	—	13	1	no	—
896	#387	—	13	1	no	—
897	#387	—	13	1	no	—
898	#387	—	13	1	no	—
899	#387	—	13	1	no	—
900	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
901	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
902	#386	—	13	1	no	—
903	#386	—	13	1	no	—
904	#386	—	13	1	no	—
905	#386	—	13	1	no	—
906	#386	—	13	1	no	—
907	#386	—	13	1	no	—
908	#386	—	13	1	no	—
909	#386	—	13	1	no	—
910	#386	—	13	1	no	—
911	#386	—	13	1	no	—
912	#386	—	13	1	no	—
913	#386	—	13	1	no	—
914	#386	—	13	1	no	—
915	#386	—	13	1	no	—
916	#386	—	13	1	no	—
917	#386	—	13	1	no	—
918	#386	—	13	1	no	—
919	#386	—	13	1	no	—
920	#386	—	13	1	no	—
921	#386	—	13	1	no	—
922	#386	—	13	1	no	—
923	#386	—	13	1	no	—
924	#386	—	13	1	no	—
925	#386	C₂×D₁₃	1	1	yes	characteristic
926	#385	—	13	1	no	—
927	#385	—	13	1	no	—
928	#385	—	13	1	no	—
929	#385	—	13	1	no	—
930	#385	—	13	1	no	—
931	#385	—	13	1	no	—
932	#385	—	13	1	no	—
933	#385	—	13	1	no	—
934	#385	—	13	1	no	—
935	#385	—	13	1	no	—
936	#385	—	13	1	no	—
937	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#381	—	13	1	no	—
939	#381	—	13	1	no	—
940	#380	—	13	1	no	—
941	#380	—	13	1	no	—
942	#380	—	13	1	no	—
943	#380	C₂×D₁₃	1	1	yes	characteristic, complemented
944	#379	—	13	1	no	—
945	#379	—	13	1	no	—
946	#379	—	13	1	no	—
947	#379	—	13	1	no	—
948	#379	—	13	1	no	—
949	#379	—	13	1	no	—
950	C₄×C₄⋊C₄	—	13	1	no	—
951	C₄×C₄⋊C₄	—	13	1	no	—
952	C₄×C₄⋊C₄	—	13	1	no	—
953	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
954	C₄×C₂²⋊C₄	—	13	1	no	—
955	C₄×C₂²⋊C₄	—	13	1	no	—
956	C₄×C₂²⋊C₄	—	13	1	no	—
957	C₄×C₂²⋊C₄	—	13	1	no	—
958	C₄×C₂²⋊C₄	—	13	1	no	—
959	C₄×C₂²⋊C₄	—	13	1	no	—
960	C₄×C₂²⋊C₄	—	13	1	no	—
961	C₄×C₂²⋊C₄	—	13	1	no	—
962	C₄×C₂²⋊C₄	—	13	1	no	—
963	C₄×C₂²⋊C₄	—	13	1	no	—
964	C₄×C₂²⋊C₄	—	13	1	no	—
965	C₄×C₂²⋊C₄	—	13	1	no	—
966	C₄×C₂²⋊C₄	—	13	1	no	—
967	C₄×C₂²⋊C₄	—	13	1	no	—
968	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
969	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
970	C₂×#95	—	13	1	no	—
971	C₂×#95	—	13	1	no	—
972	C₂²×C₁₃	—	2	2	no	—
973	C₂²×C₁₃	—	2	2	no	—
974	C₂²×C₁₃	—	2	2	no	—
975	C₂²×C₁₃	—	2	2	no	—
976	C₂²×C₁₃	—	2	2	no	—
977	C₂²×C₁₃	—	2	2	no	—
978	C₂²×C₁₃	—	4	1	no	—
979	C₂²×C₁₃	—	4	1	no	—
980	C₂²×C₁₃	—	4	1	no	—
981	C₂²×C₁₃	—	4	1	no	—
982	C₂²×C₁₃	—	4	1	no	—
983	C₂²×C₁₃	—	4	1	no	—
984	C₂²×C₁₃	—	4	1	no	—
985	C₂²×C₁₃	—	4	1	no	—
986	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
987	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
988	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
989	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
990	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
991	C₂²×C₁₃	#585	1	1	yes	characteristic
992	C₂²×C₁₃	#585	1	1	yes	characteristic
993	C₂×D₁₃	—	2	2	no	—
994	C₂×D₁₃	—	2	2	no	—
995	C₂×D₁₃	—	2	2	no	—
996	C₂×D₁₃	—	2	2	no	—
997	C₂×D₁₃	—	2	2	no	—
998	C₂×D₁₃	—	2	2	no	—
999	C₂×D₁₃	—	2	2	no	—
1000	C₂×D₁₃	—	2	2	no	—
1001	C₂×D₁₃	—	2	2	no	—
1002	C₂×D₁₃	—	2	2	no	—
1003	C₂×D₁₃	—	2	2	no	—
1004	C₂×D₁₃	—	2	2	no	—
1005	C₂×D₁₃	—	2	2	no	—
1006	C₂×D₁₃	—	2	2	no	—
1007	C₂×D₁₃	—	2	2	no	—
1008	C₂×D₁₃	—	2	2	no	—
1009	C₂×D₁₃	—	2	2	no	—
1010	C₂×D₁₃	—	2	2	no	—
1011	C₂×D₁₃	—	4	16	no	—
1012	C₂×D₁₃	—	4	1	no	—
1013	C₂×D₁₃	—	4	1	no	—
1014	C₂×D₁₃	—	4	1	no	—
1015	C₂×D₁₃	—	4	1	no	—
1016	C₂×D₁₃	—	4	1	no	—
1017	C₂×D₁₃	—	4	1	no	—
1018	C₂×D₁₃	—	4	1	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	—	4	1	no	—
1021	C₂×D₁₃	—	4	1	no	—
1022	C₂×D₁₃	—	4	1	no	—
1023	C₂×D₁₃	—	4	1	no	—
1024	C₂×D₁₃	—	4	1	no	—
1025	C₂×D₁₃	—	4	1	no	—
1026	C₂×D₁₃	—	4	1	no	—
1027	C₂×D₁₃	—	4	1	no	—
1028	C₂×D₁₃	—	8	8	no	—
1029	C₂×D₁₃	—	8	8	no	—
1030	C₂×D₁₃	#518	1	4	yes	—
1031	C₄×C₁₃	—	2	2	no	—
1032	C₄×C₁₃	—	2	2	no	—
1033	C₄×C₁₃	—	2	2	no	—
1034	C₄×C₁₃	—	2	2	no	—
1035	C₄×C₁₃	—	2	2	no	—
1036	C₄×C₁₃	—	2	2	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	Dic₁₃	—	2	2	no	—
1045	Dic₁₃	—	2	2	no	—
1046	Dic₁₃	—	2	2	no	—
1047	Dic₁₃	—	2	2	no	—
1048	Dic₁₃	—	4	1	no	—
1049	Dic₁₃	—	4	1	no	—
1050	Dic₁₃	—	4	1	no	—
1051	Dic₁₃	—	4	1	no	—
1052	Dic₁₃	—	4	1	no	—
1053	Dic₁₃	—	4	1	no	—
1054	Dic₁₃	—	4	1	no	—
1055	C₂⁵	—	13	1	no	—
1056	C₂⁵	—	13	1	no	—
1057	C₂⁵	—	13	1	no	—
1058	C₂²×D₄	—	13	1	no	—
1059	C₂²×D₄	—	13	1	no	—
1060	C₂²×D₄	—	13	1	no	—
1061	C₂²×D₄	—	13	1	no	—
1062	C₂²×D₄	—	13	8	no	—
1063	C₂²×D₄	—	13	8	no	—
1064	C₂²×D₄	—	13	1	no	—
1065	C₂²×D₄	—	13	1	no	—
1066	C₂²×D₄	—	13	1	no	—
1067	C₂²×D₄	—	13	1	no	—
1068	C₂²×D₄	—	13	1	no	—
1069	C₂²×D₄	—	13	1	no	—
1070	C₂²×D₄	—	13	1	no	—
1071	C₂²×D₄	—	52	2	no	—
1072	C₂²×D₄	—	52	2	no	—
1073	C₂²×D₄	—	52	2	no	—
1074	C₂²×D₄	—	52	2	no	—
1075	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1076	C₂³×C₄	—	13	1	no	—
1077	C₂³×C₄	—	13	1	no	—
1078	C₂³×C₄	—	13	1	no	—
1079	C₂³×C₄	—	13	1	no	—
1080	C₂³×C₄	—	13	1	no	—
1081	C₂³×C₄	—	13	1	no	—
1082	C₂³×C₄	—	13	1	no	—
1083	C₂³×C₄	—	13	1	no	—
1084	C₂³×C₄	—	13	1	no	—
1085	C₂³×C₄	—	13	1	no	—
1086	C₂³×C₄	—	13	1	no	—
1087	C₂³×C₄	—	13	1	no	—
1088	C₂³×C₄	—	13	1	no	—
1089	C₂³×C₄	—	13	1	no	—
1090	C₂³×C₄	—	52	2	no	—
1091	C₂³×C₄	—	52	2	no	—
1092	C₂³×C₄	—	52	2	no	—
1093	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1095	#123	—	13	8	no	—
1096	#123	—	13	8	no	—
1097	#123	—	13	8	no	—
1098	#123	C₄×D₁₃	1	8	yes	complemented
1099	#121	—	13	8	no	—
1100	#121	—	13	8	no	—
1101	#121	—	13	8	no	—
1102	#121	—	13	8	no	—
1103	#120	—	13	8	no	—
1104	#120	—	13	8	no	—
1105	#120	—	13	8	no	—
1106	#120	—	13	8	no	—
1107	C₄×D₄	—	52	2	no	—
1108	C₄×D₄	—	52	2	no	—
1109	C₄×D₄	—	52	2	no	—
1110	C₄×D₄	—	52	2	no	—
1111	C₄×D₄	—	52	2	no	—
1112	C₄×D₄	—	52	2	no	—
1113	C₄×D₄	—	52	2	no	—
1114	C₄×D₄	—	52	2	no	—
1115	#117	—	52	2	no	—
1116	#117	—	52	2	no	—
1117	#117	—	52	2	no	—
1118	#117	—	52	2	no	—
1119	C₂×C₄⋊C₄	—	13	1	no	—
1120	C₂×C₄⋊C₄	—	13	1	no	—
1121	C₂×C₄⋊C₄	—	13	1	no	—
1122	C₂×C₄⋊C₄	—	13	1	no	—
1123	C₂×C₄⋊C₄	—	13	1	no	—
1124	C₂×C₄⋊C₄	—	13	1	no	—
1125	C₂×C₄⋊C₄	—	13	1	no	—
1126	C₂×C₄⋊C₄	—	13	1	no	—
1127	C₂×C₄⋊C₄	—	13	1	no	—
1128	C₂×C₄⋊C₄	—	13	1	no	—
1129	C₂×C₄⋊C₄	—	13	1	no	—
1130	C₂×C₄⋊C₄	—	13	1	no	—
1131	C₂×C₄⋊C₄	—	13	1	no	—
1132	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	—	13	1	no	—
1140	C₂×C₂²⋊C₄	—	13	1	no	—
1141	C₂×C₂²⋊C₄	—	13	1	no	—
1142	C₂×C₂²⋊C₄	—	13	1	no	—
1143	C₂×C₂²⋊C₄	—	13	1	no	—
1144	C₂×C₂²⋊C₄	—	13	1	no	—
1145	C₂×C₂²⋊C₄	—	13	1	no	—
1146	C₂×C₂²⋊C₄	—	13	1	no	—
1147	C₂×C₂²⋊C₄	—	13	1	no	—
1148	C₂×C₂²⋊C₄	—	13	8	no	—
1149	C₂×C₂²⋊C₄	—	13	1	no	—
1150	C₂×C₂²⋊C₄	—	13	1	no	—
1151	C₂×C₂²⋊C₄	—	13	1	no	—
1152	C₂×C₂²⋊C₄	—	13	1	no	—
1153	C₂×C₂²⋊C₄	—	13	1	no	—
1154	C₂×C₂²⋊C₄	—	13	1	no	—
1155	C₂×C₂²⋊C₄	—	13	1	no	—
1156	C₂×C₂²⋊C₄	—	13	1	no	—
1157	C₂×C₂²⋊C₄	—	13	1	no	—
1158	C₂×C₂²⋊C₄	—	13	1	no	—
1159	C₂×C₂²⋊C₄	—	13	1	no	—
1160	C₂×C₂²⋊C₄	—	13	1	no	—
1161	C₂×C₂²⋊C₄	—	13	1	no	—
1162	C₂×C₂²⋊C₄	—	13	1	no	—
1163	C₂×C₂²⋊C₄	—	13	1	no	—
1164	C₂×C₂²⋊C₄	—	13	1	no	—
1165	C₂×C₂²⋊C₄	—	13	1	no	—
1166	C₂×C₂²⋊C₄	—	13	1	no	—
1167	C₂×C₂²⋊C₄	—	13	1	no	—
1168	C₂×C₂²⋊C₄	—	13	1	no	—
1169	C₂×C₂²⋊C₄	—	13	1	no	—
1170	C₂×C₂²⋊C₄	—	13	1	no	—
1171	C₂×C₂²⋊C₄	—	13	1	no	—
1172	C₂×C₂²⋊C₄	—	13	1	no	—
1173	C₂×C₂²⋊C₄	—	13	1	no	—
1174	C₂×C₂²⋊C₄	—	13	1	no	—
1175	C₂×C₂²⋊C₄	—	13	1	no	—
1176	C₂×C₂²⋊C₄	—	13	1	no	—
1177	C₂×C₂²⋊C₄	—	13	1	no	—
1178	C₂×C₂²⋊C₄	—	13	1	no	—
1179	C₂×C₂²⋊C₄	—	13	1	no	—
1180	C₂×C₂²⋊C₄	—	13	1	no	—
1181	C₂×C₂²⋊C₄	—	13	1	no	—
1182	C₂×C₂²⋊C₄	—	13	1	no	—
1183	C₂×C₂²⋊C₄	—	13	1	no	—
1184	C₂×C₂²⋊C₄	—	13	1	no	—
1185	C₂×C₂²⋊C₄	—	13	1	no	—
1186	C₂×C₂²⋊C₄	—	52	2	no	—
1187	C₂×C₂²⋊C₄	—	52	2	no	—
1188	C₂×C₂²⋊C₄	—	52	2	no	—
1189	C₂×C₂²⋊C₄	—	52	2	no	—
1190	C₂×C₂²⋊C₄	—	52	2	no	—
1191	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×C₄²	—	13	1	no	—
1202	C₂×C₄²	—	13	1	no	—
1203	C₂×C₄²	—	13	1	no	—
1204	C₂×C₄²	—	13	1	no	—
1205	C₂×C₄²	—	13	1	no	—
1206	C₂×C₄²	—	13	1	no	—
1207	C₂×C₄²	—	13	1	no	—
1208	C₂×C₄²	—	13	1	no	—
1209	C₂×C₄²	—	13	1	no	—
1210	C₂×C₄²	—	13	1	no	—
1211	C₂×C₄²	—	13	1	no	—
1212	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1215	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1216	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1217	#95	—	13	1	no	—
1218	#95	—	13	1	no	—
1219	#95	—	13	1	no	—
1220	#95	—	13	1	no	—
1221	#95	—	13	1	no	—
1222	#95	—	13	1	no	—
1223	#95	—	13	1	no	—
1224	#95	—	13	1	no	—
1225	#95	—	13	1	no	—
1226	#95	—	13	1	no	—
1227	#95	—	13	1	no	—
1228	#95	—	13	1	no	—
1229	#95	—	13	1	no	—
1230	#95	—	13	1	no	—
1231	#95	—	13	1	no	—
1232	#95	—	13	1	no	—
1233	#95	—	13	1	no	—
1234	#95	—	13	1	no	—
1235	#95	—	13	1	no	—
1236	#95	—	13	1	no	—
1237	#95	—	13	1	no	—
1238	#95	—	13	1	no	—
1239	#95	C₂²×D₁₃	1	1	yes	characteristic
1240	#95	C₂²×D₁₃	1	1	yes	characteristic
1241	#95	C₂²×D₁₃	1	1	yes	characteristic
1242	#95	C₂²×D₁₃	1	1	yes	characteristic
1243	#95	C₂²×D₁₃	1	1	yes	characteristic
1244	#95	C₂²×D₁₃	1	1	yes	characteristic
1245	#95	C₂²×D₁₃	1	1	yes	characteristic
1246	#95	C₂²×D₁₃	1	1	yes	characteristic
1247	#95	C₂²×D₁₃	1	1	yes	characteristic
1248	#95	C₂²×D₁₃	1	1	yes	characteristic
1249	C₂×C₁₃	—	4	2	no	—
1250	C₂×C₁₃	—	4	2	no	—
1251	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
1252	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1253	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1254	C₂×C₁₃	#3532	1	1	yes	characteristic
1255	C₂×C₁₃	#3533	1	1	yes	characteristic
1256	C₂×C₁₃	#3542	1	1	yes	characteristic
1257	C₂×C₁₃	#3542	1	1	yes	characteristic
1258	D₁₃	—	2	4	no	—
1259	D₁₃	—	4	2	no	—
1260	D₁₃	—	4	2	no	—
1261	D₁₃	—	4	2	no	—
1262	D₁₃	—	4	2	no	—
1263	C₂⁴	—	13	1	no	—
1264	C₂⁴	—	13	1	no	—
1265	C₂⁴	—	13	1	no	—
1266	C₂⁴	—	13	1	no	—
1267	C₂⁴	—	13	1	no	—
1268	C₂⁴	—	13	4	no	—
1269	C₂⁴	—	13	4	no	—
1270	C₂⁴	—	13	4	no	—
1271	C₂⁴	—	26	2	no	—
1272	C₂⁴	—	26	2	no	—
1273	C₂⁴	—	26	2	no	—
1274	C₂⁴	—	26	2	no	—
1275	C₂⁴	—	52	1	no	—
1276	C₂⁴	—	52	1	no	—
1277	C₂⁴	—	52	1	no	—
1278	C₂⁴	—	52	1	no	—
1279	C₂⁴	—	52	1	no	—
1280	C₂⁴	—	52	1	no	—
1281	C₂⁴	—	52	1	no	—
1282	C₂⁴	—	52	1	no	—
1283	C₂⁴	—	52	1	no	—
1284	C₂⁴	—	52	1	no	—
1285	C₂⁴	—	52	1	no	—
1286	C₂⁴	—	52	1	no	—
1287	C₂⁴	—	52	1	no	—
1288	C₂⁴	—	52	1	no	—
1289	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1290	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1291	C₂×D₄	—	4	1	no	—
1292	C₂×D₄	—	4	1	no	—
1293	C₂×D₄	—	13	4	no	—
1294	C₂×D₄	—	13	4	no	—
1295	C₂×D₄	—	13	4	no	—
1296	C₂×D₄	—	13	4	no	—
1297	C₂×D₄	—	13	4	no	—
1298	C₂×D₄	—	13	4	no	—
1299	C₂×D₄	—	13	4	no	—
1300	C₂×D₄	—	13	4	no	—
1301	C₂×D₄	—	13	4	no	—
1302	C₂×D₄	—	13	4	no	—
1303	C₂×D₄	—	13	4	no	—
1304	C₂×D₄	—	26	2	no	—
1305	C₂×D₄	—	26	2	no	—
1306	C₂×D₄	—	26	2	no	—
1307	C₂×D₄	—	26	2	no	—
1308	C₂×D₄	—	52	1	no	—
1309	C₂×D₄	—	52	1	no	—
1310	C₂×D₄	—	52	1	no	—
1311	C₂×D₄	—	52	1	no	—
1312	C₂×D₄	—	52	1	no	—
1313	C₂×D₄	—	52	1	no	—
1314	C₂×D₄	—	52	1	no	—
1315	C₂×D₄	—	52	1	no	—
1316	C₂×D₄	—	52	1	no	—
1317	C₂×D₄	—	52	1	no	—
1318	C₂×D₄	—	52	16	no	—
1319	C₂×D₄	—	52	16	no	—
1320	C₂×D₄	—	52	1	no	—
1321	C₂×D₄	—	52	1	no	—
1322	C₂×D₄	—	52	1	no	—
1323	C₂×D₄	—	52	1	no	—
1324	C₂×D₄	—	52	1	no	—
1325	C₂×D₄	—	52	1	no	—
1326	C₂×D₄	—	52	1	no	—
1327	C₂×D₄	—	52	1	no	—
1328	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1329	C₂²×C₄	—	2	2	no	—
1330	C₂²×C₄	—	4	1	no	—
1331	C₂²×C₄	—	4	1	no	—
1332	C₂²×C₄	—	4	1	no	—
1333	C₂²×C₄	—	4	1	no	—
1334	C₂²×C₄	—	13	1	no	—
1335	C₂²×C₄	—	13	1	no	—
1336	C₂²×C₄	—	13	1	no	—
1337	C₂²×C₄	—	13	1	no	—
1338	C₂²×C₄	—	13	4	no	—
1339	C₂²×C₄	—	13	4	no	—
1340	C₂²×C₄	—	13	4	no	—
1341	C₂²×C₄	—	13	1	no	—
1342	C₂²×C₄	—	13	1	no	—
1343	C₂²×C₄	—	13	1	no	—
1344	C₂²×C₄	—	13	1	no	—
1345	C₂²×C₄	—	13	1	no	—
1346	C₂²×C₄	—	13	1	no	—
1347	C₂²×C₄	—	13	1	no	—
1348	C₂²×C₄	—	26	2	no	—
1349	C₂²×C₄	—	26	2	no	—
1350	C₂²×C₄	—	26	2	no	—
1351	C₂²×C₄	—	26	2	no	—
1352	C₂²×C₄	—	26	2	no	—
1353	C₂²×C₄	—	26	2	no	—
1354	C₂²×C₄	—	26	2	no	—
1355	C₂²×C₄	—	26	2	no	—
1356	C₂²×C₄	—	26	2	no	—
1357	C₂²×C₄	—	26	2	no	—
1358	C₂²×C₄	—	26	2	no	—
1359	C₂²×C₄	—	26	2	no	—
1360	C₂²×C₄	—	26	2	no	—
1361	C₂²×C₄	—	52	1	no	—
1362	C₂²×C₄	—	52	1	no	—
1363	C₂²×C₄	—	52	1	no	—
1364	C₂²×C₄	—	52	1	no	—
1365	C₂²×C₄	—	52	1	no	—
1366	C₂²×C₄	—	52	1	no	—
1367	C₂²×C₄	—	52	1	no	—
1368	C₂²×C₄	—	52	1	no	—
1369	C₂²×C₄	—	52	1	no	—
1370	C₂²×C₄	—	52	1	no	—
1371	C₂²×C₄	—	52	1	no	—
1372	C₂²×C₄	—	52	1	no	—
1373	C₂²×C₄	—	52	1	no	—
1374	C₂²×C₄	—	52	1	no	—
1375	C₂²×C₄	—	52	1	no	—
1376	C₂²×C₄	—	52	1	no	—
1377	C₂²×C₄	—	52	1	no	—
1378	C₂²×C₄	—	52	1	no	—
1379	C₂²×C₄	—	52	1	no	—
1380	C₂²×C₄	—	52	1	no	—
1381	C₂²×C₄	—	52	1	no	—
1382	C₂²×C₄	—	52	1	no	—
1383	C₂²×C₄	—	52	1	no	—
1384	C₂²×C₄	—	52	1	no	—
1385	C₂²×C₄	—	52	16	no	—
1386	C₂²×C₄	—	52	1	no	—
1387	C₂²×C₄	—	52	1	no	—
1388	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1389	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1392	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1393	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1394	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1395	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1402	C₄⋊C₄	—	2	2	no	—
1403	C₄⋊C₄	—	4	1	no	—
1404	C₄⋊C₄	—	4	1	no	—
1405	C₄⋊C₄	—	4	1	no	—
1406	C₄⋊C₄	—	4	1	no	—
1407	C₄⋊C₄	—	13	4	no	—
1408	C₄⋊C₄	—	13	4	no	—
1409	C₄⋊C₄	—	26	2	no	—
1410	C₄⋊C₄	—	52	1	no	—
1411	C₄⋊C₄	—	52	1	no	—
1412	C₄⋊C₄	—	52	1	no	—
1413	C₄⋊C₄	—	52	1	no	—
1414	C₄⋊C₄	—	52	1	no	—
1415	C₄⋊C₄	—	52	1	no	—
1416	C₄⋊C₄	—	52	1	no	—
1417	C₄⋊C₄	—	52	1	no	—
1418	C₄⋊C₄	—	52	1	no	—
1419	C₄⋊C₄	—	52	1	no	—
1420	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1421	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	4	1	no	—
1424	C₂²⋊C₄	—	4	1	no	—
1425	C₂²⋊C₄	—	4	1	no	—
1426	C₂²⋊C₄	—	4	1	no	—
1427	C₂²⋊C₄	—	4	1	no	—
1428	C₂²⋊C₄	—	4	1	no	—
1429	C₂²⋊C₄	—	13	4	no	—
1430	C₂²⋊C₄	—	13	4	no	—
1431	C₂²⋊C₄	—	13	4	no	—
1432	C₂²⋊C₄	—	13	4	no	—
1433	C₂²⋊C₄	—	13	4	no	—
1434	C₂²⋊C₄	—	13	4	no	—
1435	C₂²⋊C₄	—	13	4	no	—
1436	C₂²⋊C₄	—	13	4	no	—
1437	C₂²⋊C₄	—	13	4	no	—
1438	C₂²⋊C₄	—	26	2	no	—
1439	C₂²⋊C₄	—	26	2	no	—
1440	C₂²⋊C₄	—	26	2	no	—
1441	C₂²⋊C₄	—	26	2	no	—
1442	C₂²⋊C₄	—	26	2	no	—
1443	C₂²⋊C₄	—	26	2	no	—
1444	C₂²⋊C₄	—	26	2	no	—
1445	C₂²⋊C₄	—	26	2	no	—
1446	C₂²⋊C₄	—	26	2	no	—
1447	C₂²⋊C₄	—	52	1	no	—
1448	C₂²⋊C₄	—	52	1	no	—
1449	C₂²⋊C₄	—	52	1	no	—
1450	C₂²⋊C₄	—	52	1	no	—
1451	C₂²⋊C₄	—	52	1	no	—
1452	C₂²⋊C₄	—	52	1	no	—
1453	C₂²⋊C₄	—	52	1	no	—
1454	C₂²⋊C₄	—	52	1	no	—
1455	C₂²⋊C₄	—	52	1	no	—
1456	C₂²⋊C₄	—	52	1	no	—
1457	C₂²⋊C₄	—	52	1	no	—
1458	C₂²⋊C₄	—	52	1	no	—
1459	C₂²⋊C₄	—	52	1	no	—
1460	C₂²⋊C₄	—	52	1	no	—
1461	C₂²⋊C₄	—	52	1	no	—
1462	C₂²⋊C₄	—	52	1	no	—
1463	C₂²⋊C₄	—	52	1	no	—
1464	C₂²⋊C₄	—	52	1	no	—
1465	C₂²⋊C₄	—	52	1	no	—
1466	C₂²⋊C₄	—	52	1	no	—
1467	C₂²⋊C₄	—	52	1	no	—
1468	C₂²⋊C₄	—	52	1	no	—
1469	C₂²⋊C₄	—	52	1	no	—
1470	C₂²⋊C₄	—	52	1	no	—
1471	C₂²⋊C₄	—	52	1	no	—
1472	C₂²⋊C₄	—	52	1	no	—
1473	C₂²⋊C₄	—	52	1	no	—
1474	C₂²⋊C₄	—	52	1	no	—
1475	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1476	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1477	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1478	C₄²	—	4	1	no	—
1479	C₄²	—	4	1	no	—
1480	C₄²	—	4	1	no	—
1481	C₄²	—	4	1	no	—
1482	C₄²	—	4	1	no	—
1483	C₄²	—	26	2	no	—
1484	C₄²	—	26	2	no	—
1485	C₄²	—	52	1	no	—
1486	C₄²	—	52	1	no	—
1487	C₄²	—	52	1	no	—
1488	C₄²	—	52	1	no	—
1489	C₄²	—	52	1	no	—
1490	C₄²	—	52	1	no	—
1491	C₄²	—	52	1	no	—
1492	C₄²	—	52	1	no	—
1493	C₄²	—	52	1	no	—
1494	C₁₃	#34407	1	1	yes	characteristic, complemented, Sylow
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	13	2	no	—
1508	C₂³	—	13	2	no	—
1509	C₂³	—	13	2	no	—
1510	C₂³	—	13	2	no	—
1511	C₂³	—	13	2	no	—
1512	C₂³	—	13	2	no	—
1513	C₂³	—	13	2	no	—
1514	C₂³	—	26	8	no	—
1515	C₂³	—	26	8	no	—
1516	C₂³	—	26	1	no	—
1517	C₂³	—	26	1	no	—
1518	C₂³	—	26	1	no	—
1519	C₂³	—	26	1	no	—
1520	C₂³	—	26	1	no	—
1521	C₂³	—	26	1	no	—
1522	C₂³	—	26	1	no	—
1523	C₂³	—	26	1	no	—
1524	C₂³	—	26	1	no	—
1525	C₂³	—	26	1	no	—
1526	C₂³	—	26	1	no	—
1527	C₂³	—	26	1	no	—
1528	C₂³	—	26	1	no	—
1529	C₂³	—	26	1	no	—
1530	C₂³	—	26	1	no	—
1531	C₂³	—	26	1	no	—
1532	C₂³	—	26	1	no	—
1533	C₂³	—	26	1	no	—
1534	C₂³	—	26	1	no	—
1535	C₂³	—	26	1	no	—
1536	C₂³	—	26	1	no	—
1537	C₂³	—	26	1	no	—
1538	C₂³	—	26	1	no	—
1539	C₂³	—	26	1	no	—
1540	C₂³	—	26	1	no	—
1541	C₂³	—	26	1	no	—
1542	C₂³	—	26	1	no	—
1543	C₂³	—	26	1	no	—
1544	C₂³	—	52	4	no	—
1545	C₂³	—	52	4	no	—
1546	C₂³	—	52	4	no	—
1547	C₂³	—	52	4	no	—
1548	C₂³	—	52	4	no	—
1549	C₂³	—	52	4	no	—
1550	C₂³	—	52	4	no	—
1551	C₂³	—	52	4	no	—
1552	C₂³	—	52	4	no	—
1553	C₂³	—	52	4	no	—
1554	C₂³	—	52	4	no	—
1555	C₂³	—	104	2	no	—
1556	C₂³	—	104	2	no	—
1557	C₂³	—	104	2	no	—
1558	C₂³	—	104	2	no	—
1559	C₂³	—	104	2	no	—
1560	C₂³	—	104	2	no	—
1561	C₂³	—	104	2	no	—
1562	C₂³	—	104	2	no	—
1563	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1564	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1565	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1566	D₄	—	4	4	no	—
1567	D₄	—	26	8	no	—
1568	D₄	—	26	8	no	—
1569	D₄	—	52	4	no	—
1570	D₄	—	52	4	no	—
1571	D₄	—	52	4	no	—
1572	D₄	—	52	4	no	—
1573	D₄	—	52	4	no	—
1574	D₄	—	52	4	no	—
1575	D₄	—	52	4	no	—
1576	D₄	—	52	4	no	—
1577	D₄	—	52	4	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	4	4	no	—
1612	C₂×C₄	—	4	4	no	—
1613	C₂×C₄	—	13	2	no	—
1614	C₂×C₄	—	13	2	no	—
1615	C₂×C₄	—	13	2	no	—
1616	C₂×C₄	—	13	2	no	—
1617	C₂×C₄	—	26	8	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	1	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	26	1	no	—
1622	C₂×C₄	—	26	1	no	—
1623	C₂×C₄	—	26	1	no	—
1624	C₂×C₄	—	26	1	no	—
1625	C₂×C₄	—	26	1	no	—
1626	C₂×C₄	—	26	1	no	—
1627	C₂×C₄	—	26	1	no	—
1628	C₂×C₄	—	26	1	no	—
1629	C₂×C₄	—	26	1	no	—
1630	C₂×C₄	—	26	1	no	—
1631	C₂×C₄	—	26	1	no	—
1632	C₂×C₄	—	26	1	no	—
1633	C₂×C₄	—	26	1	no	—
1634	C₂×C₄	—	26	1	no	—
1635	C₂×C₄	—	26	1	no	—
1636	C₂×C₄	—	26	1	no	—
1637	C₂×C₄	—	26	1	no	—
1638	C₂×C₄	—	26	1	no	—
1639	C₂×C₄	—	26	1	no	—
1640	C₂×C₄	—	26	1	no	—
1641	C₂×C₄	—	26	1	no	—
1642	C₂×C₄	—	26	1	no	—
1643	C₂×C₄	—	26	1	no	—
1644	C₂×C₄	—	26	1	no	—
1645	C₂×C₄	—	26	1	no	—
1646	C₂×C₄	—	26	1	no	—
1647	C₂×C₄	—	52	4	no	—
1648	C₂×C₄	—	52	4	no	—
1649	C₂×C₄	—	52	4	no	—
1650	C₂×C₄	—	52	4	no	—
1651	C₂×C₄	—	52	4	no	—
1652	C₂×C₄	—	52	4	no	—
1653	C₂×C₄	—	52	4	no	—
1654	C₂×C₄	—	104	2	no	—
1655	C₂×C₄	—	104	2	no	—
1656	C₂×C₄	—	104	2	no	—
1657	C₂×C₄	—	104	2	no	—
1658	C₂×C₄	—	104	2	no	—
1659	C₂×C₄	—	104	2	no	—
1660	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1661	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1662	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1663	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1664	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1665	C₂×C₄	#88256	1	2	yes	—
1666	C₂²	—	2	2	no	—
1667	C₂²	—	2	2	no	—
1668	C₂²	—	2	2	no	—
1669	C₂²	—	2	2	no	—
1670	C₂²	—	2	2	no	—
1671	C₂²	—	2	2	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	4	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	13	4	no	—
1681	C₂²	—	26	2	no	—
1682	C₂²	—	26	2	no	—
1683	C₂²	—	26	2	no	—
1684	C₂²	—	26	2	no	—
1685	C₂²	—	26	2	no	—
1686	C₂²	—	26	2	no	—
1687	C₂²	—	26	2	no	—
1688	C₂²	—	26	2	no	—
1689	C₂²	—	26	2	no	—
1690	C₂²	—	26	2	no	—
1691	C₂²	—	26	2	no	—
1692	C₂²	—	26	2	no	—
1693	C₂²	—	26	2	no	—
1694	C₂²	—	26	2	no	—
1695	C₂²	—	26	2	no	—
1696	C₂²	—	26	2	no	—
1697	C₂²	—	26	2	no	—
1698	C₂²	—	26	2	no	—
1699	C₂²	—	52	16	no	—
1700	C₂²	—	52	1	no	—
1701	C₂²	—	52	1	no	—
1702	C₂²	—	52	1	no	—
1703	C₂²	—	52	1	no	—
1704	C₂²	—	52	1	no	—
1705	C₂²	—	52	1	no	—
1706	C₂²	—	52	1	no	—
1707	C₂²	—	52	1	no	—
1708	C₂²	—	52	1	no	—
1709	C₂²	—	52	1	no	—
1710	C₂²	—	52	1	no	—
1711	C₂²	—	52	1	no	—
1712	C₂²	—	52	1	no	—
1713	C₂²	—	52	1	no	—
1714	C₂²	—	52	1	no	—
1715	C₂²	—	52	1	no	—
1716	C₂²	—	104	8	no	—
1717	C₂²	—	104	8	no	—
1718	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1719	C₂²	C₂×#88256	1	1	yes	characteristic
1720	C₂²	#11719648	1	1	yes	characteristic
1721	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1722	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1723	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1724	C₂²	#11719652	1	1	yes	characteristic
1725	C₄	—	2	2	no	—
1726	C₄	—	2	2	no	—
1727	C₄	—	2	2	no	—
1728	C₄	—	2	2	no	—
1729	C₄	—	2	2	no	—
1730	C₄	—	2	2	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	26	2	no	—
1739	C₄	—	26	2	no	—
1740	C₄	—	26	2	no	—
1741	C₄	—	26	2	no	—
1742	C₄	—	52	1	no	—
1743	C₄	—	52	1	no	—
1744	C₄	—	52	1	no	—
1745	C₄	—	52	1	no	—
1746	C₄	—	52	1	no	—
1747	C₄	—	52	1	no	—
1748	C₄	—	52	1	no	—
1749	C₂	—	4	2	no	—
1750	C₂	—	4	2	no	—
1751	C₂	—	26	4	no	—
1752	C₂	—	52	2	no	—
1753	C₂	—	52	2	no	—
1754	C₂	—	52	2	no	—
1755	C₂	—	52	2	no	—
1756	C₂	D₁₃×#518	1	1	yes	characteristic
1757	C₂	#13128042	1	1	yes	characteristic
1758	C₂	C₄×#88256	1	1	yes	characteristic
1759	C₂	#13128987	1	1	yes	characteristic
1760	C₂	#13129011	1	1	yes	characteristic
1761	C₂	#13129143	1	1	yes	characteristic
1762	C₂	#13129148	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2335	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#11719358	C₂
hypercenter	#2335	D₁₃
hypocenter	C₁₃	#34407
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2335

Complements

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

N	H ≅ G/N	type
2. #13117991	C₂	semidirect
3. #13117991	C₂	semidirect
4. #13117980	C₂	semidirect
5. #13117976	C₂	semidirect
6. #13117967	C₂	semidirect
7. #13117876	C₂	semidirect
8. #13117873	C₂	semidirect
9. #13117835	C₂	semidirect
10. #13117833	C₂	semidirect
11. #13117823	C₂	semidirect
12. #13117821	C₂	semidirect
13. #13117814	C₂	semidirect
14. #13117684	C₂	semidirect
15. #13117684	C₂	semidirect
16. C₂²⋊C₄×D₅₂	C₂	semidirect
17. #13117656	C₂	semidirect
18. #13117630	C₂	semidirect
19. #13117599	C₂	semidirect
20. #13117596	C₂	semidirect
21. #13117528	C₂	semidirect
22. #13117524	C₂	semidirect
23. #13117498	C₂	semidirect
24. #13117495	C₂	semidirect
25. #13117492	C₂	semidirect
26. #13117489	C₂	semidirect
27. #13117415	C₂	semidirect
28. C₄×#88136	C₂	semidirect
29. #13117337	C₂	semidirect
30. D₁₃×#386	C₂	semidirect
31. C₁₃×#2335	C₂	semidirect
34. C₂³×C₄×D₁₃	C₂²	semidirect
38. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
39. #11719358	C₄	semidirect
46. C₂×#88147	C₂²	semidirect
47. C₂×#88146	C₂²	semidirect
48. C₂×#88146	C₂²	semidirect
49. C₂×#88146	C₂²	semidirect
55. C₂×#88135	C₂²	semidirect
59. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
60. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
61. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
64. C₂×C₄×D₅₂	C₂²	semidirect
65. C₂×#88126	C₂²	semidirect
67. C₁₃×#389	C₂²	semidirect
68. C₁₃×#388	C₂²	semidirect
69. C₁₃×#388	C₂²	semidirect
70. C₁₃×#388	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#387	C₂²	semidirect
73. C₁₃×#387	C₂²	semidirect
75. C₁₃×#385	C₂²	semidirect
76. C₁₃×#380	C₂²	semidirect
77. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
78. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
79. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
82. #11718874	C₂²	semidirect
83. #11718874	C₂²	semidirect
84. #11718873	C₂²	semidirect
85. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
86. #11718651	C₂²	semidirect
87. #11718651	C₂²	semidirect
88. #11718651	C₂²	semidirect
89. #11718650	C₂²	semidirect
90. #11718650	C₂²	semidirect
91. #11718650	C₂²	semidirect
92. #11718650	C₂²	semidirect
93. #11718650	C₂²	semidirect
94. #11718649	C₂²	semidirect
95. #11718649	C₂²	semidirect
96. #11718649	C₂²	semidirect
97. #11718649	C₂²	semidirect
98. #11718646	C₂²	semidirect
99. #11718642	C₂²	semidirect
100. #11718642	C₂²	semidirect
101. #11718639	C₂²	semidirect
102. C₄⋊C₄×Dic₁₃	C₂²	semidirect
103. #11718633	C₂²	semidirect
104. #11718619	C₂²	semidirect
105. #11718619	C₂²	semidirect
108. #11718618	C₂²	semidirect
109. #11718618	C₂²	semidirect
110. #11718618	C₂²	semidirect
111. #11718618	C₂²	semidirect
114. #11718617	C₂²	semidirect
115. #11718617	C₂²	semidirect
118. #11718616	C₂²	semidirect
119. #11718616	C₂²	semidirect
120. #11718616	C₂²	semidirect
121. #11718616	C₂²	semidirect
122. #11718612	C₂²	semidirect
123. #11718612	C₂²	semidirect
124. #11718612	C₂²	semidirect
125. #11718612	C₂²	semidirect
126. #11718611	C₂²	semidirect
127. #11718606	C₂²	semidirect
128. #11718606	C₂²	semidirect
129. #11718605	C₂²	semidirect
130. #11718605	C₂²	semidirect
131. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
132. #11718601	C₂²	semidirect
133. #11718601	C₂²	semidirect
134. #11718601	C₂²	semidirect
135. #11718600	C₂²	semidirect
136. #11718600	C₂²	semidirect
137. #11718600	C₂²	semidirect
138. #11718600	C₂²	semidirect
139. C₄×#6103	C₂²	semidirect
140. C₄×#6103	C₂²	semidirect
141. C₄×#6103	C₂²	semidirect
142. C₄×#6103	C₂²	semidirect
143. C₄×#6103	C₂²	semidirect
144. C₄×#6103	C₂²	semidirect
145. C₄×#6103	C₂²	semidirect
146. #11718594	C₂²	semidirect
147. C₄×#6101	C₂²	semidirect
148. #11718331	C₂²	semidirect
149. #11718331	C₂²	semidirect
150. #11718331	C₂²	semidirect
151. #11718330	C₂²	semidirect
152. #11718330	C₂²	semidirect
153. #11718330	C₂²	semidirect
154. #11718329	C₂²	semidirect
155. #11718329	C₂²	semidirect
156. #11718329	C₂²	semidirect
157. #11718329	C₂²	semidirect
158. #11718329	C₂²	semidirect
159. #11718328	C₂²	semidirect
160. #11718328	C₂²	semidirect
161. #11718327	C₂²	semidirect
162. #11718327	C₂²	semidirect
163. #11718327	C₂²	semidirect
164. #11718327	C₂²	semidirect
165. #11718327	C₂²	semidirect
170. #11718326	C₂²	semidirect
171. #11718326	C₂²	semidirect
172. #11718326	C₂²	semidirect
173. #11718326	C₂²	semidirect
174. #11718326	C₂²	semidirect
175. #11718326	C₂²	semidirect
176. #11718326	C₂²	semidirect
177. #11718326	C₂²	semidirect
178. #11718326	C₂²	semidirect
179. #11718326	C₂²	semidirect
180. #11718325	C₂²	semidirect
181. #11718325	C₂²	semidirect
182. D₁₃×#95	C₂²	semidirect
183. D₁₃×#95	C₂²	semidirect
184. #11718316	C₂²	semidirect
185. #11718313	C₂²	semidirect
186. #11718310	C₂²	semidirect
187. #11718308	C₂²	semidirect
201. C₂×D₄×D₁₃	C₂×C₄	semidirect
204. C₂²×D₅₂	C₂×C₄	semidirect
228. C₁₃×#123	C₂×C₄	semidirect
259. #88191	C₂×C₄	semidirect
260. #88183	C₂×C₄	semidirect
324. #88149	C₂×C₄	semidirect
325. #88149	C₂×C₄	semidirect
326. #88148	C₂×C₄	semidirect
327. #88148	C₂×C₄	semidirect
334. #88138	C₂×C₄	semidirect
335. #88138	C₂×C₄	semidirect
336. #88136	C₂×C₄	semidirect
337. #88136	C₂×C₄	semidirect
338. #88136	C₂×C₄	semidirect
345. C₂²⋊C₄×D₁₃	C₂×C₄	semidirect
405. C₂³×D₁₃	C₂²×C₄	semidirect
419. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
480. C₂×D₅₂	C₂²×C₄	semidirect
481. C₂×D₅₂	C₂²×C₄	semidirect
520. C₂×C₄×D₁₃	C₂²×C₄	semidirect
521. C₂×C₄×D₁₃	C₂²×C₄	semidirect
527. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
528. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
538. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
551. C₂²⋊Dic₁₃	C₂²×C₄	semidirect
586. #6103	C₂²×C₄	semidirect
587. #6103	C₂²×C₄	semidirect
588. #6103	C₂²×C₄	semidirect
589. #6103	C₂²×C₄	semidirect
601. #6101	C₂²×C₄	semidirect
602. #6101	C₂²×C₄	semidirect
632. #2335	D₁₃	semidirect
869. #389	C₂×D₁₃	semidirect
890. #388	C₂×D₁₃	semidirect
891. #388	C₂×D₁₃	semidirect
892. #388	C₂×D₁₃	semidirect
893. #388	C₂×D₁₃	semidirect
900. #387	C₂×D₁₃	semidirect
901. #387	C₂×D₁₃	semidirect
937. #385	C₂×D₁₃	semidirect
943. #380	C₂×D₁₃	semidirect
953. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
968. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
969. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
1098. #123	C₄×D₁₃	semidirect
1388. C₂²×C₄	C₂×C₄×D₁₃	semidirect
1420. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1421. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1477. C₂²⋊C₄	C₂×C₄×D₁₃	semidirect
1494. C₁₃	#34407	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719358	2
#13117991	2
#13117980	2
#13117976	2
#13117967	2
#13117876	2
#13117873	2
#13117835	2
#13117833	2
#13117823	2
#13117821	2
#13117814	2
#13117684	2
C₂²⋊C₄×D₅₂	2
#13117656	2
#13117630	2
#13117599	2
#13117596	2
#13117528	2
#13117524	2
#13117498	2
#13117495	2
#13117492	2
#13117489	2
#13117415	2
C₄×#88136	2
#13117337	2
D₁₃×#386	2
C₁₃×#2335	2
#34407	13