Subgroups — #16070021

Order 3328.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123113	C₂	1	1	yes	maximal, characteristic, complemented
2	#13121882	C₂	1	1	yes	maximal, characteristic, complemented
3	#13121877	C₂	1	1	yes	maximal, characteristic, complemented
4	#13121873	C₂	1	1	yes	maximal, characteristic, complemented
5	#13121873	C₂	1	1	yes	maximal, characteristic, complemented
6	#13121399	C₂	1	1	yes	maximal, characteristic, complemented
7	#13121397	C₂	1	1	yes	maximal, characteristic, complemented
8	#13121231	C₂	1	1	yes	maximal, characteristic, complemented
9	#13121227	C₂	1	1	yes	maximal, characteristic, complemented
10	#13121223	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121223	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121216	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121214	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121161	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121157	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121058	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121040	C₂	1	1	yes	maximal, characteristic, complemented
18	#13120645	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120574	C₂	1	1	yes	maximal, characteristic, complemented
20	#13119081	C₂	1	1	yes	maximal, characteristic, complemented
21	#13119079	C₂	1	1	yes	maximal, characteristic, complemented
22	#13118961	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118959	C₂	1	1	yes	maximal, characteristic, complemented
24	#13118376	C₂	1	1	yes	maximal, characteristic, complemented
25	#13118368	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118302	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118294	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117497	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117491	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718908	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2846	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁶×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
40	C₂×#88207	C₂²	1	1	yes	characteristic
41	C₂×#88207	C₂²	1	1	yes	characteristic
42	C₂×#88207	C₂²	1	1	yes	characteristic
43	C₂×#88207	C₂²	1	1	yes	characteristic
44	C₂×#88207	C₂²	1	1	yes	characteristic
45	C₂×#88207	C₂²	1	1	yes	characteristic
46	C₂×#88207	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
53	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
58	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#379	C₂²	1	1	yes	characteristic
66	C₁₃×#379	C₂²	1	1	yes	characteristic
67	C₁₃×#379	C₂²	1	1	yes	characteristic
68	C₁₃×#379	C₂²	1	1	yes	characteristic
69	C₁₃×#379	C₂²	1	1	yes	characteristic
70	C₁₃×#379	C₂²	1	1	yes	characteristic
71	C₁₃×#379	C₂²	1	1	yes	characteristic
72	#11718908	C₂²	1	1	yes	characteristic
73	#11718908	C₂²	1	1	yes	characteristic
74	#11718908	C₂²	1	1	yes	characteristic
75	#11718908	C₂²	1	1	yes	characteristic
76	#11718908	C₂²	1	1	yes	characteristic
77	#11718908	C₂²	1	1	yes	characteristic
78	#11718908	C₂²	1	1	yes	characteristic
79	#11718908	C₂²	1	1	yes	characteristic
80	#11718908	C₂²	1	1	yes	characteristic
81	#11718908	C₂²	1	1	yes	characteristic
82	#11718908	C₂²	1	1	yes	characteristic
83	#11718908	C₂²	1	1	yes	characteristic
84	#11718908	C₂²	1	1	yes	characteristic
85	#11718908	C₂²	1	1	yes	characteristic
86	#11718908	C₂²	1	1	yes	characteristic
87	#11718884	C₂²	1	1	yes	characteristic, complemented
88	#11718884	C₂²	1	1	yes	characteristic, complemented
89	#11718884	C₂²	1	1	yes	characteristic, complemented
90	#11718884	C₂²	1	1	yes	characteristic, complemented
91	#11718883	C₂²	1	1	yes	characteristic, complemented
92	#11718883	C₂²	1	1	yes	characteristic, complemented
93	#11718883	C₂²	1	1	yes	characteristic, complemented
94	#11718883	C₂²	1	1	yes	characteristic, complemented
95	#11718883	C₂²	1	1	yes	characteristic, complemented
96	#11718883	C₂²	1	1	yes	characteristic, complemented
97	#11718883	C₂²	1	1	yes	characteristic, complemented
98	#11718883	C₂²	1	1	yes	characteristic, complemented
99	#11718882	C₂²	1	1	yes	characteristic, complemented
100	#11718882	C₂²	1	1	yes	characteristic, complemented
101	#11718882	C₂²	1	1	yes	characteristic, complemented
102	#11718882	C₂²	1	1	yes	characteristic, complemented
103	#11718881	C₂²	1	1	yes	characteristic, complemented
104	#11718881	C₂²	1	1	yes	characteristic, complemented
105	#11718881	C₂²	1	1	yes	characteristic, complemented
106	#11718881	C₂²	1	1	yes	characteristic, complemented
107	#11718881	C₂²	1	1	yes	characteristic, complemented
108	#11718881	C₂²	1	1	yes	characteristic, complemented
109	#11718622	C₂²	1	1	yes	characteristic, complemented
110	#11718622	C₂²	1	1	yes	characteristic, complemented
111	#11718622	C₂²	1	1	yes	characteristic, complemented
112	#11718622	C₂²	1	1	yes	characteristic, complemented
113	#11718620	C₂²	1	1	yes	characteristic, complemented
114	#11718620	C₂²	1	1	yes	characteristic, complemented
115	#11718620	C₂²	1	1	yes	characteristic, complemented
116	#11718620	C₂²	1	1	yes	characteristic, complemented
117	#11718619	C₂²	1	1	yes	characteristic, complemented
118	#11718619	C₂²	1	1	yes	characteristic, complemented
119	#11718618	C₂²	1	1	yes	characteristic, complemented
120	#11718618	C₂²	1	1	yes	characteristic, complemented
121	#11718618	C₂²	1	1	yes	characteristic, complemented
122	#11718618	C₂²	1	1	yes	characteristic, complemented
123	#11718617	C₂²	1	1	yes	characteristic, complemented
124	#11718617	C₂²	1	1	yes	characteristic, complemented
125	#11718617	C₂²	1	1	yes	characteristic, complemented
126	#11718617	C₂²	1	1	yes	characteristic, complemented
127	#11718614	C₂²	1	1	yes	characteristic, complemented
128	#11718614	C₂²	1	1	yes	characteristic, complemented
129	#11718614	C₂²	1	1	yes	characteristic, complemented
130	#11718614	C₂²	1	1	yes	characteristic, complemented
131	#11718613	C₂²	1	1	yes	characteristic, complemented
132	#11718613	C₂²	1	1	yes	characteristic, complemented
133	#11718613	C₂²	1	1	yes	characteristic, complemented
134	#11718613	C₂²	1	1	yes	characteristic, complemented
135	#11718613	C₂²	1	1	yes	characteristic, complemented
136	#11718613	C₂²	1	1	yes	characteristic, complemented
137	#11718613	C₂²	1	1	yes	characteristic, complemented
138	#11718613	C₂²	1	1	yes	characteristic, complemented
139	#11718612	C₂²	1	1	yes	characteristic, complemented
140	#11718612	C₂²	1	1	yes	characteristic, complemented
141	#11718612	C₂²	1	1	yes	characteristic, complemented
142	#11718612	C₂²	1	1	yes	characteristic, complemented
143	#11718612	C₂²	1	1	yes	characteristic, complemented
144	#11718612	C₂²	1	1	yes	characteristic, complemented
145	#11718612	C₂²	1	1	yes	characteristic, complemented
146	#11718612	C₂²	1	1	yes	characteristic, complemented
147	#11718611	C₂²	1	1	yes	characteristic, complemented
148	#11718611	C₂²	1	1	yes	characteristic, complemented
149	#11718610	C₂²	1	1	yes	characteristic, complemented
150	#11718610	C₂²	1	1	yes	characteristic, complemented
151	#11718610	C₂²	1	1	yes	characteristic, complemented
152	#11718610	C₂²	1	1	yes	characteristic, complemented
153	#11718609	C₂²	1	1	yes	characteristic, complemented
154	#11718609	C₂²	1	1	yes	characteristic, complemented
155	#11718609	C₂²	1	1	yes	characteristic, complemented
156	#11718609	C₂²	1	1	yes	characteristic, complemented
157	#11718609	C₂²	1	1	yes	characteristic, complemented
158	#11718609	C₂²	1	1	yes	characteristic, complemented
159	#11718609	C₂²	1	1	yes	characteristic, complemented
160	#11718609	C₂²	1	1	yes	characteristic, complemented
161	#11718608	C₂²	1	1	yes	characteristic, complemented
162	#11718608	C₂²	1	1	yes	characteristic, complemented
163	#11718608	C₂²	1	1	yes	characteristic, complemented
164	#11718608	C₂²	1	1	yes	characteristic, complemented
165	#11718607	C₂²	1	1	yes	characteristic, complemented
166	#11718607	C₂²	1	1	yes	characteristic, complemented
167	#11718606	C₂²	1	1	yes	characteristic, complemented
168	#11718606	C₂²	1	1	yes	characteristic, complemented
169	#11718606	C₂²	1	1	yes	characteristic, complemented
170	#11718606	C₂²	1	1	yes	characteristic, complemented
171	#11718606	C₂²	1	1	yes	characteristic, complemented
172	#11718606	C₂²	1	1	yes	characteristic, complemented
173	#11718606	C₂²	1	1	yes	characteristic, complemented
174	#11718606	C₂²	1	1	yes	characteristic, complemented
175	#11718605	C₂²	1	1	yes	characteristic, complemented
176	#11718605	C₂²	1	1	yes	characteristic, complemented
177	#11718605	C₂²	1	1	yes	characteristic, complemented
178	#11718605	C₂²	1	1	yes	characteristic, complemented
179	#11718605	C₂²	1	1	yes	characteristic, complemented
180	#11718605	C₂²	1	1	yes	characteristic, complemented
181	#11718605	C₂²	1	1	yes	characteristic, complemented
182	#11718605	C₂²	1	1	yes	characteristic, complemented
183	#11718603	C₂²	1	1	yes	characteristic, complemented
184	#11718603	C₂²	1	1	yes	characteristic, complemented
185	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
186	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	—	2	4	no	—
188	C₂⁵×C₁₃	—	4	2	no	—
189	C₂⁵×C₁₃	—	4	2	no	—
190	C₂⁵×C₁₃	—	4	2	no	—
191	C₂⁵×C₁₃	—	4	2	no	—
192	C₂⁵×C₁₃	—	4	2	no	—
193	C₂⁵×C₁₃	—	4	2	no	—
194	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
195	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
196	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
197	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
198	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
199	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
200	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
215	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic, complemented
216	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
217	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
218	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
219	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
221	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
222	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
223	C₁₃×#120	—	2	4	no	—
224	C₁₃×#120	—	4	2	no	—
225	C₁₃×#120	—	4	2	no	—
226	C₁₃×#120	—	4	2	no	—
227	C₁₃×#120	—	4	2	no	—
228	C₁₃×#120	—	4	2	no	—
229	C₁₃×#120	—	4	2	no	—
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×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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	#88207	—	2	4	no	—
252	#88207	—	4	2	no	—
253	#88207	—	4	2	no	—
254	#88207	—	4	2	no	—
255	#88207	—	4	2	no	—
256	#88207	—	4	2	no	—
257	#88207	—	4	2	no	—
258	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
259	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
260	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
261	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
262	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
263	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
264	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
310	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
312	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
313	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
314	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
315	#88193	—	4	2	no	—
316	#88193	—	4	2	no	—
317	#88192	—	4	2	no	—
318	#88190	—	4	2	no	—
319	#88189	—	4	2	no	—
320	D₄×Dic₁₃	—	4	2	no	—
321	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
322	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
323	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
324	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
325	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
326	C₂×#6103	C₂³	1	1	yes	characteristic, complemented
327	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
328	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
329	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
330	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
331	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
332	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
333	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
334	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
335	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
336	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
337	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
338	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
339	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
340	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
341	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
342	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
343	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
344	C₂×#6101	C₂³	1	1	yes	characteristic, complemented
345	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
347	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
348	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
349	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
350	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
351	#88139	—	4	2	no	—
352	#88137	—	4	2	no	—
353	#88135	—	4	2	no	—
354	#88133	—	4	2	no	—
355	#88133	—	4	2	no	—
356	#88132	—	4	2	no	—
357	#88071	C₂³	1	1	yes	characteristic, complemented
358	#88071	C₂³	1	1	yes	characteristic, complemented
359	#88071	C₂³	1	1	yes	characteristic, complemented
360	#88071	C₂³	1	1	yes	characteristic, complemented
361	#88071	C₂³	1	1	yes	characteristic, complemented
362	#88071	C₂³	1	1	yes	characteristic, complemented
363	#88071	C₂³	1	1	yes	characteristic, complemented
364	#88071	C₂³	1	1	yes	characteristic, complemented
365	#88071	C₂³	1	1	yes	characteristic, complemented
366	#88071	C₂³	1	1	yes	characteristic, complemented
367	#88071	C₂³	1	1	yes	characteristic, complemented
368	#88071	C₂³	1	1	yes	characteristic, complemented
369	#88071	C₂³	1	1	yes	characteristic, complemented
370	#88071	C₂³	1	1	yes	characteristic, complemented
371	#88071	C₂³	1	1	yes	characteristic, complemented
372	#88071	C₂³	1	1	yes	characteristic, complemented
373	#88071	C₂³	1	1	yes	characteristic, complemented
374	#88071	C₂³	1	1	yes	characteristic, complemented
375	#88071	C₂³	1	1	yes	characteristic, complemented
376	#88071	C₂³	1	1	yes	characteristic, complemented
377	#88071	C₂³	1	1	yes	characteristic, complemented
378	#88071	C₂³	1	1	yes	characteristic, complemented
379	#88071	C₂³	1	1	yes	characteristic, complemented
380	#88071	C₂³	1	1	yes	characteristic, complemented
381	#36725	—	13	1	no	maximal, Sylow
382	C₂⁴×C₁₃	—	2	2	no	—
383	C₂⁴×C₁₃	—	2	2	no	—
384	C₂⁴×C₁₃	—	2	2	no	—
385	C₂⁴×C₁₃	—	2	2	no	—
386	C₂⁴×C₁₃	—	2	2	no	—
387	C₂⁴×C₁₃	—	2	2	no	—
388	C₂⁴×C₁₃	—	2	2	no	—
389	C₂⁴×C₁₃	—	2	2	no	—
390	C₂⁴×C₁₃	—	2	2	no	—
391	C₂⁴×C₁₃	—	2	2	no	—
392	C₂⁴×C₁₃	—	2	2	no	—
393	C₂⁴×C₁₃	—	2	2	no	—
394	C₂⁴×C₁₃	—	2	2	no	—
395	C₂⁴×C₁₃	—	2	2	no	—
396	C₂⁴×C₁₃	—	2	2	no	—
397	C₂⁴×C₁₃	—	2	2	no	—
398	C₂⁴×C₁₃	—	2	2	no	—
399	C₂⁴×C₁₃	—	2	2	no	—
400	C₂⁴×C₁₃	—	2	2	no	—
401	C₂⁴×C₁₃	—	2	2	no	—
402	C₂⁴×C₁₃	—	2	2	no	—
403	C₂⁴×C₁₃	—	2	2	no	—
404	C₂⁴×C₁₃	—	2	2	no	—
405	C₂⁴×C₁₃	—	2	2	no	—
406	C₂⁴×C₁₃	—	4	1	no	—
407	C₂⁴×C₁₃	—	4	1	no	—
408	C₂⁴×C₁₃	—	4	1	no	—
409	C₂⁴×C₁₃	—	4	1	no	—
410	C₂⁴×C₁₃	—	4	1	no	—
411	C₂⁴×C₁₃	—	4	1	no	—
412	C₂⁴×C₁₃	—	4	1	no	—
413	C₂⁴×C₁₃	—	4	1	no	—
414	C₂⁴×C₁₃	—	4	1	no	—
415	C₂⁴×C₁₃	—	4	1	no	—
416	C₂⁴×C₁₃	—	4	1	no	—
417	C₂⁴×C₁₃	—	4	1	no	—
418	C₂⁴×C₁₃	—	4	1	no	—
419	C₂⁴×C₁₃	—	4	1	no	—
420	C₂⁴×C₁₃	—	4	1	no	—
421	C₂⁴×C₁₃	—	4	1	no	—
422	C₂⁴×C₁₃	—	4	1	no	—
423	C₂⁴×C₁₃	—	4	1	no	—
424	C₂⁴×C₁₃	—	4	1	no	—
425	C₂⁴×C₁₃	—	4	1	no	—
426	C₂⁴×C₁₃	—	4	1	no	—
427	C₂⁴×C₁₃	—	4	1	no	—
428	C₂⁴×C₁₃	—	4	1	no	—
429	C₂⁴×C₁₃	—	4	1	no	—
430	C₂⁴×C₁₃	—	4	16	no	—
431	C₂⁴×C₁₃	—	4	16	no	—
432	C₂⁴×C₁₃	—	4	16	no	—
433	C₂⁴×C₁₃	—	4	16	no	—
434	C₂⁴×C₁₃	—	4	16	no	—
435	C₂⁴×C₁₃	—	4	16	no	—
436	C₂⁴×C₁₃	—	4	16	no	—
437	C₂⁴×C₁₃	#41	1	4	yes	—
438	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
441	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
443	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
447	C₂×D₄×C₁₃	—	2	2	no	—
448	C₂×D₄×C₁₃	—	2	2	no	—
449	C₂×D₄×C₁₃	—	2	2	no	—
450	C₂×D₄×C₁₃	—	2	2	no	—
451	C₂×D₄×C₁₃	—	2	2	no	—
452	C₂×D₄×C₁₃	—	2	2	no	—
453	C₂×D₄×C₁₃	—	2	2	no	—
454	C₂×D₄×C₁₃	—	2	2	no	—
455	C₂×D₄×C₁₃	—	2	2	no	—
456	C₂×D₄×C₁₃	—	4	1	no	—
457	C₂×D₄×C₁₃	—	4	1	no	—
458	C₂×D₄×C₁₃	—	4	1	no	—
459	C₂×D₄×C₁₃	—	4	1	no	—
460	C₂×D₄×C₁₃	—	4	1	no	—
461	C₂×D₄×C₁₃	—	4	1	no	—
462	C₂×D₄×C₁₃	—	4	1	no	—
463	C₂×D₄×C₁₃	—	4	1	no	—
464	C₂×D₄×C₁₃	—	4	1	no	—
465	C₂×D₄×C₁₃	—	4	1	no	—
466	C₂×D₄×C₁₃	—	4	1	no	—
467	C₂×D₄×C₁₃	—	4	1	no	—
468	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂×C₂²⋊D₁₃	—	2	2	no	—
476	C₂×C₂²⋊D₁₃	—	2	2	no	—
477	C₂×C₂²⋊D₁₃	—	2	2	no	—
478	C₂×C₂²⋊D₁₃	—	2	2	no	—
479	C₂×C₂²⋊D₁₃	—	2	2	no	—
480	C₂×C₂²⋊D₁₃	—	2	2	no	—
481	C₂×C₂²⋊D₁₃	—	2	2	no	—
482	C₂×C₂²⋊D₁₃	—	2	2	no	—
483	C₂×C₂²⋊D₁₃	—	2	2	no	—
484	C₂×C₂²⋊D₁₃	—	4	1	no	—
485	C₂×C₂²⋊D₁₃	—	4	1	no	—
486	C₂×C₂²⋊D₁₃	—	4	1	no	—
487	C₂×C₂²⋊D₁₃	—	4	1	no	—
488	C₂×C₂²⋊D₁₃	—	4	1	no	—
489	C₂×C₂²⋊D₁₃	—	4	1	no	—
490	C₂×C₂²⋊D₁₃	—	4	1	no	—
491	C₂×C₂²⋊D₁₃	—	4	1	no	—
492	C₂×C₂²⋊D₁₃	—	4	1	no	—
493	C₂×C₂²⋊D₁₃	—	4	1	no	—
494	C₂×C₂²⋊D₁₃	—	4	1	no	—
495	C₂×C₂²⋊D₁₃	—	4	1	no	—
496	C₂×C₂²⋊D₁₃	—	4	1	no	—
497	C₂×C₂²⋊D₁₃	—	4	1	no	—
498	C₂×C₂²⋊D₁₃	—	4	1	no	—
499	C₂²×Dic₁₃	—	2	2	no	—
500	C₂²×Dic₁₃	—	2	2	no	—
501	C₂²×Dic₁₃	—	2	2	no	—
502	C₂²×Dic₁₃	—	2	2	no	—
503	C₂²×Dic₁₃	—	4	1	no	—
504	C₂²×Dic₁₃	—	4	1	no	—
505	C₂²×Dic₁₃	—	4	1	no	—
506	C₂²×Dic₁₃	—	4	1	no	—
507	C₂²×Dic₁₃	—	4	1	no	—
508	C₂²×Dic₁₃	—	4	1	no	—
509	C₂²×Dic₁₃	—	4	1	no	—
510	C₂²×Dic₁₃	—	4	1	no	—
511	C₂²×Dic₁₃	—	4	1	no	—
512	C₂²×Dic₁₃	—	4	1	no	—
513	C₂²×Dic₁₃	—	4	1	no	—
514	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
526	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
527	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₄×D₁₃	—	4	1	no	—
530	C₂×C₄×D₁₃	—	4	1	no	—
531	C₂×C₄×D₁₃	—	4	1	no	—
532	C₂×Dic₂₆	—	4	1	no	—
533	C₂×Dic₂₆	—	4	1	no	—
534	C₂×Dic₂₆	—	4	1	no	—
535	C₁₃×C₂²⋊C₄	—	2	2	no	—
536	C₁₃×C₂²⋊C₄	—	2	2	no	—
537	C₁₃×C₂²⋊C₄	—	2	2	no	—
538	C₁₃×C₂²⋊C₄	—	2	2	no	—
539	C₁₃×C₂²⋊C₄	—	2	2	no	—
540	C₁₃×C₂²⋊C₄	—	2	2	no	—
541	C₁₃×C₂²⋊C₄	—	2	2	no	—
542	C₁₃×C₂²⋊C₄	—	2	2	no	—
543	C₁₃×C₂²⋊C₄	—	2	2	no	—
544	C₁₃×C₂²⋊C₄	—	4	1	no	—
545	C₁₃×C₂²⋊C₄	—	4	1	no	—
546	C₁₃×C₂²⋊C₄	—	4	1	no	—
547	C₁₃×C₂²⋊C₄	—	4	1	no	—
548	C₁₃×C₂²⋊C₄	—	4	1	no	—
549	C₁₃×C₂²⋊C₄	—	4	1	no	—
550	C₁₃×C₂²⋊C₄	—	4	1	no	—
551	C₁₃×C₂²⋊C₄	—	4	1	no	—
552	C₁₃×C₂²⋊C₄	—	4	1	no	—
553	C₁₃×C₂²⋊C₄	—	4	1	no	—
554	C₁₃×C₂²⋊C₄	—	4	1	no	—
555	C₁₃×C₂²⋊C₄	—	4	1	no	—
556	C₂²⋊Dic₁₃	—	2	2	no	—
557	C₂²⋊Dic₁₃	—	2	2	no	—
558	C₂²⋊Dic₁₃	—	2	2	no	—
559	C₂²⋊Dic₁₃	—	2	2	no	—
560	C₂²⋊Dic₁₃	—	2	2	no	—
561	C₂²⋊Dic₁₃	—	2	2	no	—
562	C₂²⋊Dic₁₃	—	2	2	no	—
563	C₂²⋊Dic₁₃	—	2	2	no	—
564	C₂²⋊Dic₁₃	—	2	2	no	—
565	C₂²⋊Dic₁₃	—	2	2	no	—
566	C₂²⋊Dic₁₃	—	2	2	no	—
567	C₂²⋊Dic₁₃	—	2	2	no	—
568	C₂²⋊Dic₁₃	—	2	2	no	—
569	C₂²⋊Dic₁₃	—	2	2	no	—
570	C₂²⋊Dic₁₃	—	2	2	no	—
571	C₂²⋊Dic₁₃	—	2	2	no	—
572	C₂²⋊Dic₁₃	—	2	2	no	—
573	C₂²⋊Dic₁₃	—	4	1	no	—
574	C₂²⋊Dic₁₃	—	4	1	no	—
575	C₂²⋊Dic₁₃	—	4	1	no	—
576	C₂²⋊Dic₁₃	—	4	1	no	—
577	C₂²⋊Dic₁₃	—	4	1	no	—
578	C₂²⋊Dic₁₃	—	4	1	no	—
579	C₂²⋊Dic₁₃	—	4	1	no	—
580	C₂²⋊Dic₁₃	—	4	1	no	—
581	C₂²⋊Dic₁₃	—	4	1	no	—
582	C₂²⋊Dic₁₃	—	4	1	no	—
583	C₂²⋊Dic₁₃	—	4	1	no	—
584	C₂²⋊Dic₁₃	—	4	1	no	—
585	C₂²⋊Dic₁₃	—	4	1	no	—
586	C₂²⋊Dic₁₃	—	4	1	no	—
587	C₂²⋊Dic₁₃	—	4	1	no	—
588	C₂²⋊Dic₁₃	—	4	1	no	—
589	C₂²⋊Dic₁₃	—	4	1	no	—
590	C₂²⋊Dic₁₃	—	4	1	no	—
591	C₂²⋊Dic₁₃	—	4	1	no	—
592	C₂²⋊Dic₁₃	—	4	1	no	—
593	C₂²⋊Dic₁₃	—	4	1	no	—
594	C₂²⋊Dic₁₃	—	4	1	no	—
595	C₂²⋊Dic₁₃	—	4	1	no	—
596	C₂²⋊Dic₁₃	—	4	1	no	—
597	C₂²⋊Dic₁₃	—	4	1	no	—
598	C₂²⋊Dic₁₃	—	4	1	no	—
599	C₂²⋊Dic₁₃	—	4	1	no	—
600	C₂²⋊Dic₁₃	—	4	1	no	—
601	C₂²⋊Dic₁₃	—	4	1	no	—
602	C₂²⋊Dic₁₃	—	4	1	no	—
603	C₂²⋊Dic₁₃	—	4	1	no	—
604	C₂²⋊Dic₁₃	—	4	1	no	—
605	C₂²⋊Dic₁₃	—	4	1	no	—
606	C₂²⋊Dic₁₃	—	4	1	no	—
607	#6103	—	4	1	no	—
608	#6103	—	4	1	no	—
609	#6103	—	4	1	no	—
610	#6103	—	4	1	no	—
611	#6103	—	4	1	no	—
612	#6103	—	4	1	no	—
613	C₄⋊Dic₁₃	—	4	1	no	—
614	C₄⋊Dic₁₃	—	4	1	no	—
615	C₄⋊Dic₁₃	—	4	1	no	—
616	C₄⋊Dic₁₃	—	4	1	no	—
617	C₄⋊Dic₁₃	—	4	1	no	—
618	C₄⋊Dic₁₃	—	4	1	no	—
619	#6101	—	4	1	no	—
620	#6101	—	4	1	no	—
621	#6101	—	4	1	no	—
622	#6101	—	4	1	no	—
623	#6101	—	4	1	no	—
624	#6101	—	4	1	no	—
625	#6101	—	4	1	no	—
626	#6101	—	4	1	no	—
627	#6101	—	4	1	no	—
628	#6101	—	4	1	no	—
629	#6101	—	4	1	no	—
630	#6101	—	4	1	no	—
631	C₄×Dic₁₃	—	4	1	no	—
632	C₄×Dic₁₃	—	4	1	no	—
633	C₄×Dic₁₃	—	4	1	no	—
634	C₄×Dic₁₃	—	4	1	no	—
635	C₄×Dic₁₃	—	4	1	no	—
636	C₄×Dic₁₃	—	4	1	no	—
637	#2846	—	13	1	no	—
638	#2846	D₁₃	1	1	yes	characteristic, complemented
639	#2736	—	13	1	no	—
640	#2735	—	13	1	no	—
641	#2735	—	13	1	no	—
642	#2735	—	13	1	no	—
643	#2697	—	13	1	no	—
644	#2697	—	13	1	no	—
645	#2685	—	13	1	no	—
646	#2685	—	13	1	no	—
647	#2685	—	13	1	no	—
648	#2685	—	13	1	no	—
649	#2684	—	13	1	no	—
650	#2684	—	13	1	no	—
651	#2678	—	13	1	no	—
652	#2678	—	13	1	no	—
653	#2670	—	13	1	no	—
654	#2668	—	13	1	no	—
655	#2626	—	13	1	no	—
656	#2617	—	13	1	no	—
657	#2480	—	13	1	no	—
658	#2480	—	13	1	no	—
659	#2472	—	13	1	no	—
660	#2472	—	13	1	no	—
661	#2424	—	13	1	no	—
662	#2424	—	13	1	no	—
663	#2418	—	13	1	no	—
664	#2418	—	13	1	no	—
665	#2321	—	13	1	no	—
666	#2321	—	13	1	no	—
667	C₂×#379	—	13	1	no	—
668	C₂³×C₁₃	—	2	1	no	—
669	C₂³×C₁₃	—	2	1	no	—
670	C₂³×C₁₃	—	2	1	no	—
671	C₂³×C₁₃	—	2	1	no	—
672	C₂³×C₁₃	—	2	8	no	—
673	C₂³×C₁₃	—	2	8	no	—
674	C₂³×C₁₃	—	2	8	no	—
675	C₂³×C₁₃	—	2	1	no	—
676	C₂³×C₁₃	—	2	1	no	—
677	C₂³×C₁₃	—	2	1	no	—
678	C₂³×C₁₃	—	2	1	no	—
679	C₂³×C₁₃	—	2	1	no	—
680	C₂³×C₁₃	—	2	1	no	—
681	C₂³×C₁₃	—	2	1	no	—
682	C₂³×C₁₃	—	2	1	no	—
683	C₂³×C₁₃	—	2	1	no	—
684	C₂³×C₁₃	—	2	1	no	—
685	C₂³×C₁₃	—	2	1	no	—
686	C₂³×C₁₃	—	2	1	no	—
687	C₂³×C₁₃	—	2	1	no	—
688	C₂³×C₁₃	—	2	1	no	—
689	C₂³×C₁₃	—	2	1	no	—
690	C₂³×C₁₃	—	2	1	no	—
691	C₂³×C₁₃	—	2	1	no	—
692	C₂³×C₁₃	—	2	1	no	—
693	C₂³×C₁₃	—	2	1	no	—
694	C₂³×C₁₃	—	2	1	no	—
695	C₂³×C₁₃	—	2	1	no	—
696	C₂³×C₁₃	—	2	1	no	—
697	C₂³×C₁₃	—	2	1	no	—
698	C₂³×C₁₃	—	2	1	no	—
699	C₂³×C₁₃	—	2	1	no	—
700	C₂³×C₁₃	—	2	1	no	—
701	C₂³×C₁₃	—	2	1	no	—
702	C₂³×C₁₃	—	2	1	no	—
703	C₂³×C₁₃	—	2	1	no	—
704	C₂³×C₁₃	—	2	1	no	—
705	C₂³×C₁₃	—	2	1	no	—
706	C₂³×C₁₃	—	2	1	no	—
707	C₂³×C₁₃	—	2	1	no	—
708	C₂³×C₁₃	—	2	1	no	—
709	C₂³×C₁₃	—	2	1	no	—
710	C₂³×C₁₃	—	2	1	no	—
711	C₂³×C₁₃	—	2	1	no	—
712	C₂³×C₁₃	—	2	1	no	—
713	C₂³×C₁₃	—	2	1	no	—
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	2	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	4	4	no	—
719	C₂³×C₁₃	—	4	4	no	—
720	C₂³×C₁₃	—	4	4	no	—
721	C₂³×C₁₃	—	4	4	no	—
722	C₂³×C₁₃	—	4	4	no	—
723	C₂³×C₁₃	—	4	4	no	—
724	C₂³×C₁₃	—	4	4	no	—
725	C₂³×C₁₃	—	4	4	no	—
726	C₂³×C₁₃	—	4	4	no	—
727	C₂³×C₁₃	—	4	4	no	—
728	C₂³×C₁₃	—	4	4	no	—
729	C₂³×C₁₃	—	4	4	no	—
730	C₂³×C₁₃	—	4	4	no	—
731	C₂³×C₁₃	—	4	4	no	—
732	C₂³×C₁₃	—	4	4	no	—
733	C₂³×C₁₃	—	4	4	no	—
734	C₂³×C₁₃	—	4	4	no	—
735	C₂³×C₁₃	—	4	4	no	—
736	C₂³×C₁₃	—	4	4	no	—
737	C₂³×C₁₃	—	4	4	no	—
738	C₂³×C₁₃	—	4	4	no	—
739	C₂³×C₁₃	—	4	4	no	—
740	C₂³×C₁₃	—	4	4	no	—
741	C₂³×C₁₃	—	4	4	no	—
742	C₂³×C₁₃	—	4	4	no	—
743	C₂³×C₁₃	—	4	4	no	—
744	C₂³×C₁₃	—	4	4	no	—
745	C₂³×C₁₃	—	4	4	no	—
746	C₂³×C₁₃	—	4	4	no	—
747	C₂³×C₁₃	—	4	4	no	—
748	C₂³×C₁₃	—	4	4	no	—
749	C₂³×C₁₃	—	4	4	no	—
750	C₂³×C₁₃	—	4	4	no	—
751	C₂³×C₁₃	—	4	4	no	—
752	C₂³×C₁₃	—	4	4	no	—
753	C₂³×C₁₃	—	4	4	no	—
754	C₂³×C₁₃	—	4	4	no	—
755	C₂³×C₁₃	—	4	4	no	—
756	C₂³×C₁₃	—	4	4	no	—
757	C₂³×C₁₃	—	4	4	no	—
758	C₂³×C₁₃	—	4	128	no	—
759	C₂³×C₁₃	—	4	4	no	—
760	C₂³×C₁₃	—	4	4	no	—
761	C₂³×C₁₃	—	4	4	no	—
762	C₂³×C₁₃	—	4	4	no	—
763	C₂³×C₁₃	—	4	4	no	—
764	C₂³×C₁₃	—	4	4	no	—
765	C₂³×C₁₃	C₂×#41	1	2	yes	—
766	C₂³×C₁₃	C₂×#41	1	2	yes	—
767	C₂³×C₁₃	C₂×#41	1	2	yes	—
768	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
769	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
770	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
771	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
772	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
773	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
774	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	2	1	no	—
778	C₂²×D₁₃	—	2	1	no	—
779	C₂²×D₁₃	—	2	1	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	1	no	—
782	D₄×C₁₃	—	4	4	no	—
783	D₄×C₁₃	—	8	2	no	—
784	D₄×C₁₃	—	8	2	no	—
785	D₄×C₁₃	—	8	2	no	—
786	D₄×C₁₃	—	8	2	no	—
787	D₄×C₁₃	—	8	2	no	—
788	D₄×C₁₃	—	8	2	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂²⋊D₁₃	—	4	4	no	—
811	C₂²⋊D₁₃	—	8	2	no	—
812	C₂²⋊D₁₃	—	8	2	no	—
813	C₂²⋊D₁₃	—	8	2	no	—
814	C₂²⋊D₁₃	—	8	2	no	—
815	C₂²⋊D₁₃	—	8	2	no	—
816	C₂²⋊D₁₃	—	8	2	no	—
817	C₂²⋊D₁₃	—	8	2	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	2	1	no	—
824	C₂×Dic₁₃	—	2	1	no	—
825	C₂×Dic₁₃	—	2	1	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	1	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	2	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	1	no	—
843	C₂×Dic₁₃	—	2	1	no	—
844	C₂×Dic₁₃	—	2	1	no	—
845	C₂×Dic₁₃	—	2	1	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	2	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	8	2	no	—
864	C₂×Dic₁₃	—	8	2	no	—
865	C₂×Dic₁₃	—	8	2	no	—
866	C₂×Dic₁₃	—	8	2	no	—
867	C₂×Dic₁₃	—	8	2	no	—
868	C₄×D₁₃	—	8	2	no	—
869	Dic₂₆	—	8	2	no	—
870	C₂⁶	C₂×D₁₃	1	1	yes	characteristic
871	C₂×#126	—	13	1	no	—
872	C₂×#126	—	13	1	no	—
873	C₂×#124	—	13	1	no	—
874	C₂×#124	—	13	1	no	—
875	C₂×#123	—	13	1	no	—
876	C₂×#123	—	13	1	no	—
877	C₂×C₂²⋊Q₈	—	13	1	no	—
878	C₂×#121	—	13	1	no	—
879	C₂×#121	—	13	1	no	—
880	C₂×#121	—	13	1	no	—
881	C₂×#120	—	13	1	no	—
882	C₂×#120	—	13	1	no	—
883	C₂×#120	—	13	1	no	—
884	C₂×#120	—	13	1	no	—
885	C₂×#120	—	13	1	no	—
886	C₂×#120	—	13	1	no	—
887	C₂×#120	—	13	1	no	—
888	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
889	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
890	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
891	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
892	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
893	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
894	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
895	C₂×C₄×D₄	—	13	1	no	—
896	C₂×C₄×D₄	—	13	1	no	—
897	C₂²×C₂²⋊C₄	—	13	1	no	—
898	C₂²×C₂²⋊C₄	—	13	1	no	—
899	C₂²×C₂²⋊C₄	—	13	1	no	—
900	C₂²×C₂²⋊C₄	—	13	1	no	—
901	C₂²×C₂²⋊C₄	—	13	1	no	—
902	C₂²×C₂²⋊C₄	—	13	1	no	—
903	#399	—	13	1	no	—
904	#399	—	13	1	no	—
905	#399	—	13	1	no	—
906	#399	—	13	1	no	—
907	#397	—	13	1	no	—
908	#397	—	13	1	no	—
909	#397	—	13	1	no	—
910	#397	—	13	1	no	—
911	#397	—	13	1	no	—
912	#397	—	13	1	no	—
913	#397	—	13	1	no	—
914	#397	—	13	1	no	—
915	#397	—	13	1	no	—
916	#397	—	13	1	no	—
917	#397	—	13	1	no	—
918	#397	—	13	1	no	—
919	#396	—	13	1	no	—
920	#396	—	13	1	no	—
921	#396	—	13	1	no	—
922	#396	—	13	1	no	—
923	#396	—	13	1	no	—
924	#396	—	13	1	no	—
925	#396	—	13	1	no	—
926	#396	—	13	1	no	—
927	#394	—	13	1	no	—
928	#394	—	13	1	no	—
929	#394	—	13	1	no	—
930	#394	—	13	1	no	—
931	#394	—	13	1	no	—
932	#394	—	13	1	no	—
933	#394	—	13	1	no	—
934	#394	—	13	1	no	—
935	#394	—	13	1	no	—
936	#394	—	13	1	no	—
937	#394	—	13	1	no	—
938	#394	—	13	1	no	—
939	#394	—	13	1	no	—
940	#394	—	13	1	no	—
941	#394	—	13	1	no	—
942	#394	—	13	1	no	—
943	#393	—	13	1	no	—
944	#393	—	13	1	no	—
945	#393	—	13	1	no	—
946	#393	—	13	1	no	—
947	#392	—	13	1	no	—
948	#392	—	13	1	no	—
949	#392	—	13	1	no	—
950	#392	—	13	1	no	—
951	#390	—	13	1	no	—
952	#390	—	13	1	no	—
953	#390	—	13	1	no	—
954	#390	—	13	1	no	—
955	#390	—	13	1	no	—
956	#390	—	13	1	no	—
957	#390	—	13	1	no	—
958	#390	—	13	1	no	—
959	#388	—	13	1	no	—
960	#388	—	13	1	no	—
961	#388	—	13	1	no	—
962	#388	—	13	1	no	—
963	#388	—	13	1	no	—
964	#388	—	13	1	no	—
965	#388	—	13	1	no	—
966	#388	—	13	1	no	—
967	#388	—	13	1	no	—
968	#388	—	13	1	no	—
969	#388	—	13	1	no	—
970	#388	—	13	1	no	—
971	#388	—	13	1	no	—
972	#388	—	13	1	no	—
973	#388	—	13	1	no	—
974	#388	—	13	1	no	—
975	#388	—	13	1	no	—
976	#388	—	13	1	no	—
977	#388	—	13	1	no	—
978	#388	—	13	1	no	—
979	#388	—	13	1	no	—
980	#388	—	13	1	no	—
981	#388	—	13	1	no	—
982	#388	—	13	1	no	—
983	#386	—	13	1	no	—
984	#386	—	13	1	no	—
985	#386	—	13	1	no	—
986	#386	—	13	1	no	—
987	#386	—	13	1	no	—
988	#386	—	13	1	no	—
989	#386	—	13	1	no	—
990	#386	—	13	1	no	—
991	#386	—	13	1	no	—
992	#386	—	13	1	no	—
993	#386	—	13	1	no	—
994	#386	—	13	1	no	—
995	#385	—	13	1	no	—
996	#385	—	13	1	no	—
997	#385	—	13	1	no	—
998	#385	—	13	1	no	—
999	#380	—	13	1	no	—
1000	#380	—	13	1	no	—
1001	#379	—	13	1	no	—
1002	#379	—	13	1	no	—
1003	#379	—	13	1	no	—
1004	#379	—	13	1	no	—
1005	#379	—	13	1	no	—
1006	#379	—	13	1	no	—
1007	#379	—	13	1	no	—
1008	#379	—	13	1	no	—
1009	#379	—	13	1	no	—
1010	#379	—	13	1	no	—
1011	#379	—	13	1	no	—
1012	#379	—	13	1	no	—
1013	#379	—	13	1	no	—
1014	#379	—	13	1	no	—
1015	#379	—	13	1	no	—
1016	#379	C₂×D₁₃	1	1	yes	characteristic
1017	#379	C₂×D₁₃	1	1	yes	characteristic
1018	#379	C₂×D₁₃	1	1	yes	characteristic
1019	#379	C₂×D₁₃	1	1	yes	characteristic
1020	#379	C₂×D₁₃	1	1	yes	characteristic
1021	#379	C₂×D₁₃	1	1	yes	characteristic
1022	#379	C₂×D₁₃	1	1	yes	characteristic
1023	C₄×C₂²⋊C₄	—	13	1	no	—
1024	C₄×C₂²⋊C₄	—	13	1	no	—
1025	C₂²×C₁₃	—	2	2	no	—
1026	C₂²×C₁₃	—	2	2	no	—
1027	C₂²×C₁₃	—	2	2	no	—
1028	C₂²×C₁₃	—	2	2	no	—
1029	C₂²×C₁₃	—	2	2	no	—
1030	C₂²×C₁₃	—	2	2	no	—
1031	C₂²×C₁₃	—	2	2	no	—
1032	C₂²×C₁₃	—	2	2	no	—
1033	C₂²×C₁₃	—	2	2	no	—
1034	C₂²×C₁₃	—	2	2	no	—
1035	C₂²×C₁₃	—	2	2	no	—
1036	C₂²×C₁₃	—	2	2	no	—
1037	C₂²×C₁₃	—	2	2	no	—
1038	C₂²×C₁₃	—	2	2	no	—
1039	C₂²×C₁₃	—	2	2	no	—
1040	C₂²×C₁₃	—	2	2	no	—
1041	C₂²×C₁₃	—	2	2	no	—
1042	C₂²×C₁₃	—	2	2	no	—
1043	C₂²×C₁₃	—	2	2	no	—
1044	C₂²×C₁₃	—	2	2	no	—
1045	C₂²×C₁₃	—	2	2	no	—
1046	C₂²×C₁₃	—	2	2	no	—
1047	C₂²×C₁₃	—	2	2	no	—
1048	C₂²×C₁₃	—	2	2	no	—
1049	C₂²×C₁₃	—	4	16	no	—
1050	C₂²×C₁₃	—	4	16	no	—
1051	C₂²×C₁₃	—	4	16	no	—
1052	C₂²×C₁₃	—	4	16	no	—
1053	C₂²×C₁₃	—	4	16	no	—
1054	C₂²×C₁₃	—	4	16	no	—
1055	C₂²×C₁₃	—	4	16	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	—	4	1	no	—
1065	C₂²×C₁₃	—	4	1	no	—
1066	C₂²×C₁₃	—	4	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	#538	1	4	yes	—
1088	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
1089	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1090	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1091	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1092	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1093	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1094	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	4	1	no	—
1099	C₂×D₁₃	—	4	1	no	—
1100	C₂×D₁₃	—	4	1	no	—
1101	C₂×D₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	Dic₁₃	—	4	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	Dic₁₃	—	4	1	no	—
1117	Dic₁₃	—	4	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	C₂⁵	—	2	4	no	—
1125	C₂⁵	—	4	2	no	—
1126	C₂⁵	—	4	2	no	—
1127	C₂⁵	—	4	2	no	—
1128	C₂⁵	—	4	2	no	—
1129	C₂⁵	—	4	2	no	—
1130	C₂⁵	—	4	2	no	—
1131	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂²×Q₈	—	13	1	no	—
1139	C₂²×D₄	—	13	1	no	—
1140	C₂²×D₄	—	13	1	no	—
1141	C₂²×D₄	—	13	1	no	—
1142	C₂²×D₄	—	13	1	no	—
1143	C₂²×D₄	—	13	1	no	—
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	13	1	no	—
1146	C₂²×D₄	—	13	1	no	—
1147	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1151	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂³×C₄	—	13	1	no	—
1155	C₂³×C₄	—	13	1	no	—
1156	C₂³×C₄	—	13	1	no	—
1157	C₂³×C₄	—	13	1	no	—
1158	C₂³×C₄	—	13	1	no	—
1159	C₂³×C₄	—	13	1	no	—
1160	#126	—	52	2	no	—
1161	#126	—	52	2	no	—
1162	#124	—	52	2	no	—
1163	#124	—	52	2	no	—
1164	#123	—	52	2	no	—
1165	#123	—	52	2	no	—
1166	C₂²⋊Q₈	—	52	2	no	—
1167	#121	—	52	2	no	—
1168	#121	—	52	2	no	—
1169	#121	—	52	2	no	—
1170	#120	—	2	4	no	—
1171	#120	—	4	2	no	—
1172	#120	—	4	2	no	—
1173	#120	—	4	2	no	—
1174	#120	—	4	2	no	—
1175	#120	—	4	2	no	—
1176	#120	—	4	2	no	—
1177	#120	—	26	4	no	—
1178	#120	—	52	2	no	—
1179	#120	—	52	2	no	—
1180	#120	—	52	2	no	—
1181	#120	—	52	2	no	—
1182	#120	—	52	2	no	—
1183	#120	—	52	2	no	—
1184	C₄×D₄	—	52	2	no	—
1185	C₄×D₄	—	52	2	no	—
1186	C₂×C₄⋊C₄	—	13	1	no	—
1187	C₂×C₄⋊C₄	—	13	1	no	—
1188	C₂×C₄⋊C₄	—	13	1	no	—
1189	C₂×C₄⋊C₄	—	13	1	no	—
1190	C₂×C₄⋊C₄	—	13	1	no	—
1191	C₂×C₄⋊C₄	—	13	1	no	—
1192	C₂×C₄⋊C₄	—	13	1	no	—
1193	C₂×C₄⋊C₄	—	13	1	no	—
1194	C₂×C₄⋊C₄	—	13	1	no	—
1195	C₂×C₄⋊C₄	—	13	1	no	—
1196	C₂×C₄⋊C₄	—	13	1	no	—
1197	C₂×C₄⋊C₄	—	13	1	no	—
1198	C₂×C₄⋊C₄	—	13	1	no	—
1199	C₂×C₄⋊C₄	—	13	1	no	—
1200	C₂×C₄⋊C₄	—	13	1	no	—
1201	C₂×C₄⋊C₄	—	13	1	no	—
1202	C₂×C₄⋊C₄	—	13	1	no	—
1203	C₂×C₄⋊C₄	—	13	1	no	—
1204	C₂×C₂²⋊C₄	—	13	1	no	—
1205	C₂×C₂²⋊C₄	—	13	1	no	—
1206	C₂×C₂²⋊C₄	—	13	1	no	—
1207	C₂×C₂²⋊C₄	—	13	1	no	—
1208	C₂×C₂²⋊C₄	—	13	1	no	—
1209	C₂×C₂²⋊C₄	—	13	1	no	—
1210	C₂×C₂²⋊C₄	—	13	1	no	—
1211	C₂×C₂²⋊C₄	—	13	1	no	—
1212	C₂×C₂²⋊C₄	—	13	1	no	—
1213	C₂×C₂²⋊C₄	—	13	1	no	—
1214	C₂×C₂²⋊C₄	—	13	1	no	—
1215	C₂×C₂²⋊C₄	—	13	1	no	—
1216	C₂×C₂²⋊C₄	—	13	1	no	—
1217	C₂×C₂²⋊C₄	—	13	1	no	—
1218	C₂×C₂²⋊C₄	—	13	1	no	—
1219	C₂×C₂²⋊C₄	—	13	1	no	—
1220	C₂×C₂²⋊C₄	—	13	1	no	—
1221	C₂×C₂²⋊C₄	—	13	1	no	—
1222	C₂×C₂²⋊C₄	—	13	1	no	—
1223	C₂×C₂²⋊C₄	—	13	1	no	—
1224	C₂×C₂²⋊C₄	—	13	1	no	—
1225	C₂×C₂²⋊C₄	—	13	1	no	—
1226	C₂×C₂²⋊C₄	—	13	1	no	—
1227	C₂×C₂²⋊C₄	—	13	1	no	—
1228	C₂×C₂²⋊C₄	—	13	1	no	—
1229	C₂×C₂²⋊C₄	—	13	1	no	—
1230	C₂×C₂²⋊C₄	—	13	1	no	—
1231	C₂×C₂²⋊C₄	—	13	1	no	—
1232	C₂×C₂²⋊C₄	—	13	1	no	—
1233	C₂×C₂²⋊C₄	—	13	1	no	—
1234	C₂×C₂²⋊C₄	—	13	1	no	—
1235	C₂×C₂²⋊C₄	—	13	1	no	—
1236	C₂×C₂²⋊C₄	—	13	1	no	—
1237	C₂×C₂²⋊C₄	—	13	1	no	—
1238	C₂×C₂²⋊C₄	—	13	1	no	—
1239	C₂×C₂²⋊C₄	—	13	1	no	—
1240	C₂×C₂²⋊C₄	—	13	1	no	—
1241	C₂×C₂²⋊C₄	—	13	1	no	—
1242	C₂×C₂²⋊C₄	—	13	1	no	—
1243	C₂×C₂²⋊C₄	—	13	1	no	—
1244	C₂×C₂²⋊C₄	—	13	1	no	—
1245	C₂×C₂²⋊C₄	—	13	1	no	—
1246	C₂×C₂²⋊C₄	—	13	1	no	—
1247	C₂×C₂²⋊C₄	—	13	1	no	—
1248	C₂×C₂²⋊C₄	—	13	1	no	—
1249	C₂×C₂²⋊C₄	—	13	1	no	—
1250	C₂×C₂²⋊C₄	—	13	1	no	—
1251	C₂×C₂²⋊C₄	—	13	1	no	—
1252	C₂×C₂²⋊C₄	—	13	1	no	—
1253	C₂×C₂²⋊C₄	—	13	1	no	—
1254	C₂×C₂²⋊C₄	—	13	1	no	—
1255	C₂×C₂²⋊C₄	—	13	1	no	—
1256	C₂×C₂²⋊C₄	—	13	1	no	—
1257	C₂×C₂²⋊C₄	—	13	1	no	—
1258	C₂×C₂²⋊C₄	—	13	1	no	—
1259	C₂×C₂²⋊C₄	—	13	1	no	—
1260	C₂×C₂²⋊C₄	—	13	1	no	—
1261	C₂×C₂²⋊C₄	—	52	2	no	—
1262	C₂×C₂²⋊C₄	—	52	2	no	—
1263	C₂×C₂²⋊C₄	—	52	2	no	—
1264	C₂×C₂²⋊C₄	—	52	2	no	—
1265	C₂×C₂²⋊C₄	—	52	2	no	—
1266	C₂×C₂²⋊C₄	—	52	2	no	—
1267	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1270	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1271	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1274	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1275	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1277	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1278	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1279	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1280	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1284	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1285	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1286	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1287	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1288	C₂×C₄²	—	13	1	no	—
1289	C₂×C₄²	—	13	1	no	—
1290	C₂×C₄²	—	13	1	no	—
1291	C₂×C₄²	—	13	1	no	—
1292	C₂×C₄²	—	13	1	no	—
1293	C₂×C₄²	—	13	1	no	—
1294	#95	—	13	1	no	—
1295	#95	—	13	1	no	—
1296	#95	—	13	1	no	—
1297	#95	—	13	1	no	—
1298	#95	—	13	1	no	—
1299	#95	—	13	1	no	—
1300	#95	—	13	1	no	—
1301	#95	—	13	1	no	—
1302	#95	—	13	1	no	—
1303	#95	—	13	1	no	—
1304	#95	—	13	1	no	—
1305	#95	—	13	1	no	—
1306	#95	—	13	1	no	—
1307	#95	—	13	1	no	—
1308	#95	—	13	1	no	—
1309	#95	—	13	1	no	—
1310	#95	—	13	1	no	—
1311	#95	—	13	1	no	—
1312	#95	—	13	1	no	—
1313	#95	—	13	1	no	—
1314	#95	—	13	1	no	—
1315	#95	—	13	1	no	—
1316	#95	—	13	1	no	—
1317	#95	—	13	1	no	—
1318	C₂×C₁₃	—	2	4	no	—
1319	C₂×C₁₃	—	4	2	no	—
1320	C₂×C₁₃	—	4	2	no	—
1321	C₂×C₁₃	—	4	2	no	—
1322	C₂×C₁₃	—	4	2	no	—
1323	C₂×C₁₃	—	4	2	no	—
1324	C₂×C₁₃	—	4	2	no	—
1325	C₂×C₁₃	—	8	1	no	—
1326	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1327	C₂×C₁₃	#3490	1	1	yes	characteristic
1328	C₂×C₁₃	#3490	1	1	yes	characteristic
1329	C₂×C₁₃	#3532	1	1	yes	characteristic
1330	C₂×C₁₃	#3532	1	1	yes	characteristic
1331	C₂×C₁₃	#3532	1	1	yes	characteristic
1332	C₂×C₁₃	#3532	1	1	yes	characteristic
1333	D₁₃	—	8	1	no	—
1334	C₂⁴	—	2	2	no	—
1335	C₂⁴	—	2	2	no	—
1336	C₂⁴	—	2	2	no	—
1337	C₂⁴	—	2	2	no	—
1338	C₂⁴	—	2	2	no	—
1339	C₂⁴	—	2	2	no	—
1340	C₂⁴	—	2	2	no	—
1341	C₂⁴	—	2	2	no	—
1342	C₂⁴	—	2	2	no	—
1343	C₂⁴	—	2	2	no	—
1344	C₂⁴	—	2	2	no	—
1345	C₂⁴	—	2	2	no	—
1346	C₂⁴	—	2	2	no	—
1347	C₂⁴	—	2	2	no	—
1348	C₂⁴	—	2	2	no	—
1349	C₂⁴	—	2	2	no	—
1350	C₂⁴	—	2	2	no	—
1351	C₂⁴	—	2	2	no	—
1352	C₂⁴	—	2	2	no	—
1353	C₂⁴	—	2	2	no	—
1354	C₂⁴	—	2	2	no	—
1355	C₂⁴	—	2	2	no	—
1356	C₂⁴	—	2	2	no	—
1357	C₂⁴	—	2	2	no	—
1358	C₂⁴	—	4	1	no	—
1359	C₂⁴	—	4	1	no	—
1360	C₂⁴	—	4	1	no	—
1361	C₂⁴	—	4	1	no	—
1362	C₂⁴	—	4	1	no	—
1363	C₂⁴	—	4	1	no	—
1364	C₂⁴	—	4	1	no	—
1365	C₂⁴	—	4	1	no	—
1366	C₂⁴	—	4	1	no	—
1367	C₂⁴	—	4	1	no	—
1368	C₂⁴	—	4	1	no	—
1369	C₂⁴	—	4	1	no	—
1370	C₂⁴	—	4	1	no	—
1371	C₂⁴	—	4	1	no	—
1372	C₂⁴	—	4	1	no	—
1373	C₂⁴	—	4	1	no	—
1374	C₂⁴	—	4	1	no	—
1375	C₂⁴	—	4	1	no	—
1376	C₂⁴	—	4	1	no	—
1377	C₂⁴	—	4	1	no	—
1378	C₂⁴	—	4	1	no	—
1379	C₂⁴	—	4	1	no	—
1380	C₂⁴	—	4	1	no	—
1381	C₂⁴	—	4	1	no	—
1382	C₂⁴	—	4	16	no	—
1383	C₂⁴	—	4	16	no	—
1384	C₂⁴	—	4	16	no	—
1385	C₂⁴	—	4	16	no	—
1386	C₂⁴	—	4	16	no	—
1387	C₂⁴	—	4	16	no	—
1388	C₂⁴	—	4	16	no	—
1389	C₂⁴	—	13	1	no	—
1390	C₂⁴	#6129	1	4	yes	—
1391	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1392	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1393	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1394	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1395	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1396	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1397	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1398	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1399	C₂×Q₈	—	52	1	no	—
1400	C₂×Q₈	—	52	1	no	—
1401	C₂×Q₈	—	52	1	no	—
1402	C₂×D₄	—	2	2	no	—
1403	C₂×D₄	—	2	2	no	—
1404	C₂×D₄	—	2	2	no	—
1405	C₂×D₄	—	2	2	no	—
1406	C₂×D₄	—	2	2	no	—
1407	C₂×D₄	—	2	2	no	—
1408	C₂×D₄	—	2	2	no	—
1409	C₂×D₄	—	2	2	no	—
1410	C₂×D₄	—	2	2	no	—
1411	C₂×D₄	—	4	1	no	—
1412	C₂×D₄	—	4	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	4	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	1	no	—
1422	C₂×D₄	—	4	1	no	—
1423	C₂×D₄	—	26	2	no	—
1424	C₂×D₄	—	26	2	no	—
1425	C₂×D₄	—	26	2	no	—
1426	C₂×D₄	—	26	2	no	—
1427	C₂×D₄	—	26	2	no	—
1428	C₂×D₄	—	26	2	no	—
1429	C₂×D₄	—	26	2	no	—
1430	C₂×D₄	—	26	2	no	—
1431	C₂×D₄	—	26	2	no	—
1432	C₂×D₄	—	52	1	no	—
1433	C₂×D₄	—	52	1	no	—
1434	C₂×D₄	—	52	1	no	—
1435	C₂×D₄	—	52	1	no	—
1436	C₂×D₄	—	52	1	no	—
1437	C₂×D₄	—	52	1	no	—
1438	C₂×D₄	—	52	1	no	—
1439	C₂×D₄	—	52	1	no	—
1440	C₂×D₄	—	52	1	no	—
1441	C₂×D₄	—	52	1	no	—
1442	C₂×D₄	—	52	1	no	—
1443	C₂×D₄	—	52	1	no	—
1444	C₂×D₄	—	52	1	no	—
1445	C₂×D₄	—	52	1	no	—
1446	C₂×D₄	—	52	1	no	—
1447	C₂²×C₄	—	13	1	no	—
1448	C₂²×C₄	—	13	1	no	—
1449	C₂²×C₄	—	13	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	1	no	—
1456	C₂²×C₄	—	13	1	no	—
1457	C₂²×C₄	—	13	1	no	—
1458	C₂²×C₄	—	13	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	26	2	no	—
1463	C₂²×C₄	—	26	2	no	—
1464	C₂²×C₄	—	26	2	no	—
1465	C₂²×C₄	—	26	2	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	—	52	1	no	—
1476	C₂²×C₄	—	52	1	no	—
1477	C₂²×C₄	—	52	1	no	—
1478	C₂²×C₄	—	52	1	no	—
1479	C₂²×C₄	—	52	1	no	—
1480	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1482	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1483	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	—	52	1	no	—
1488	C₄⋊C₄	—	52	1	no	—
1489	C₄⋊C₄	—	52	1	no	—
1490	C₄⋊C₄	—	52	1	no	—
1491	C₄⋊C₄	—	52	1	no	—
1492	C₄⋊C₄	—	52	1	no	—
1493	C₄⋊C₄	—	52	1	no	—
1494	C₄⋊C₄	—	52	1	no	—
1495	C₄⋊C₄	—	52	1	no	—
1496	C₄⋊C₄	—	52	1	no	—
1497	C₄⋊C₄	—	52	1	no	—
1498	C₄⋊C₄	—	52	1	no	—
1499	C₄⋊C₄	—	52	1	no	—
1500	C₄⋊C₄	—	52	1	no	—
1501	C₄⋊C₄	—	52	1	no	—
1502	C₄⋊C₄	—	52	1	no	—
1503	C₄⋊C₄	—	52	1	no	—
1504	C₄⋊C₄	—	52	1	no	—
1505	C₂²⋊C₄	—	2	2	no	—
1506	C₂²⋊C₄	—	2	2	no	—
1507	C₂²⋊C₄	—	2	2	no	—
1508	C₂²⋊C₄	—	2	2	no	—
1509	C₂²⋊C₄	—	2	2	no	—
1510	C₂²⋊C₄	—	2	2	no	—
1511	C₂²⋊C₄	—	2	2	no	—
1512	C₂²⋊C₄	—	2	2	no	—
1513	C₂²⋊C₄	—	2	2	no	—
1514	C₂²⋊C₄	—	4	1	no	—
1515	C₂²⋊C₄	—	4	1	no	—
1516	C₂²⋊C₄	—	4	1	no	—
1517	C₂²⋊C₄	—	4	1	no	—
1518	C₂²⋊C₄	—	4	1	no	—
1519	C₂²⋊C₄	—	4	1	no	—
1520	C₂²⋊C₄	—	4	1	no	—
1521	C₂²⋊C₄	—	4	1	no	—
1522	C₂²⋊C₄	—	4	1	no	—
1523	C₂²⋊C₄	—	4	1	no	—
1524	C₂²⋊C₄	—	4	1	no	—
1525	C₂²⋊C₄	—	4	1	no	—
1526	C₂²⋊C₄	—	26	2	no	—
1527	C₂²⋊C₄	—	26	2	no	—
1528	C₂²⋊C₄	—	26	2	no	—
1529	C₂²⋊C₄	—	26	2	no	—
1530	C₂²⋊C₄	—	26	2	no	—
1531	C₂²⋊C₄	—	26	2	no	—
1532	C₂²⋊C₄	—	26	2	no	—
1533	C₂²⋊C₄	—	26	2	no	—
1534	C₂²⋊C₄	—	26	2	no	—
1535	C₂²⋊C₄	—	26	2	no	—
1536	C₂²⋊C₄	—	26	2	no	—
1537	C₂²⋊C₄	—	26	2	no	—
1538	C₂²⋊C₄	—	26	2	no	—
1539	C₂²⋊C₄	—	26	2	no	—
1540	C₂²⋊C₄	—	26	2	no	—
1541	C₂²⋊C₄	—	26	2	no	—
1542	C₂²⋊C₄	—	26	2	no	—
1543	C₂²⋊C₄	—	52	1	no	—
1544	C₂²⋊C₄	—	52	1	no	—
1545	C₂²⋊C₄	—	52	1	no	—
1546	C₂²⋊C₄	—	52	1	no	—
1547	C₂²⋊C₄	—	52	1	no	—
1548	C₂²⋊C₄	—	52	1	no	—
1549	C₂²⋊C₄	—	52	1	no	—
1550	C₂²⋊C₄	—	52	1	no	—
1551	C₂²⋊C₄	—	52	1	no	—
1552	C₂²⋊C₄	—	52	1	no	—
1553	C₂²⋊C₄	—	52	1	no	—
1554	C₂²⋊C₄	—	52	1	no	—
1555	C₂²⋊C₄	—	52	1	no	—
1556	C₂²⋊C₄	—	52	1	no	—
1557	C₂²⋊C₄	—	52	1	no	—
1558	C₂²⋊C₄	—	52	1	no	—
1559	C₂²⋊C₄	—	52	1	no	—
1560	C₂²⋊C₄	—	52	1	no	—
1561	C₂²⋊C₄	—	52	1	no	—
1562	C₂²⋊C₄	—	52	1	no	—
1563	C₂²⋊C₄	—	52	1	no	—
1564	C₂²⋊C₄	—	52	1	no	—
1565	C₂²⋊C₄	—	52	1	no	—
1566	C₂²⋊C₄	—	52	1	no	—
1567	C₂²⋊C₄	—	52	1	no	—
1568	C₂²⋊C₄	—	52	1	no	—
1569	C₂²⋊C₄	—	52	1	no	—
1570	C₂²⋊C₄	—	52	1	no	—
1571	C₂²⋊C₄	—	52	1	no	—
1572	C₂²⋊C₄	—	52	1	no	—
1573	C₂²⋊C₄	—	52	1	no	—
1574	C₂²⋊C₄	—	52	1	no	—
1575	C₂²⋊C₄	—	52	1	no	—
1576	C₂²⋊C₄	—	52	1	no	—
1577	C₂²⋊C₄	—	52	1	no	—
1578	C₂²⋊C₄	—	52	1	no	—
1579	C₂²⋊C₄	—	52	1	no	—
1580	C₂²⋊C₄	—	52	1	no	—
1581	C₂²⋊C₄	—	52	1	no	—
1582	C₂²⋊C₄	—	52	1	no	—
1583	C₄²	—	52	1	no	—
1584	C₄²	—	52	1	no	—
1585	C₄²	—	52	1	no	—
1586	C₄²	—	52	1	no	—
1587	C₄²	—	52	1	no	—
1588	C₄²	—	52	1	no	—
1589	C₁₃	#36725	1	1	yes	characteristic, complemented, Sylow
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	1	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	8	no	—
1595	C₂³	—	2	8	no	—
1596	C₂³	—	2	8	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	2	1	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	2	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	2	1	no	—
1618	C₂³	—	2	1	no	—
1619	C₂³	—	2	1	no	—
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	2	1	no	—
1631	C₂³	—	2	1	no	—
1632	C₂³	—	2	1	no	—
1633	C₂³	—	2	1	no	—
1634	C₂³	—	2	1	no	—
1635	C₂³	—	2	1	no	—
1636	C₂³	—	2	1	no	—
1637	C₂³	—	2	1	no	—
1638	C₂³	—	2	1	no	—
1639	C₂³	—	2	1	no	—
1640	C₂³	—	4	4	no	—
1641	C₂³	—	4	4	no	—
1642	C₂³	—	4	4	no	—
1643	C₂³	—	4	4	no	—
1644	C₂³	—	4	4	no	—
1645	C₂³	—	4	4	no	—
1646	C₂³	—	4	4	no	—
1647	C₂³	—	4	4	no	—
1648	C₂³	—	4	4	no	—
1649	C₂³	—	4	4	no	—
1650	C₂³	—	4	4	no	—
1651	C₂³	—	4	4	no	—
1652	C₂³	—	4	4	no	—
1653	C₂³	—	4	4	no	—
1654	C₂³	—	4	4	no	—
1655	C₂³	—	4	4	no	—
1656	C₂³	—	4	4	no	—
1657	C₂³	—	4	4	no	—
1658	C₂³	—	4	4	no	—
1659	C₂³	—	4	4	no	—
1660	C₂³	—	4	4	no	—
1661	C₂³	—	4	4	no	—
1662	C₂³	—	4	4	no	—
1663	C₂³	—	4	4	no	—
1664	C₂³	—	4	4	no	—
1665	C₂³	—	4	4	no	—
1666	C₂³	—	4	4	no	—
1667	C₂³	—	4	4	no	—
1668	C₂³	—	4	4	no	—
1669	C₂³	—	4	4	no	—
1670	C₂³	—	4	4	no	—
1671	C₂³	—	4	4	no	—
1672	C₂³	—	4	4	no	—
1673	C₂³	—	4	4	no	—
1674	C₂³	—	4	4	no	—
1675	C₂³	—	4	4	no	—
1676	C₂³	—	4	4	no	—
1677	C₂³	—	4	4	no	—
1678	C₂³	—	4	4	no	—
1679	C₂³	—	4	4	no	—
1680	C₂³	—	4	128	no	—
1681	C₂³	—	4	4	no	—
1682	C₂³	—	4	4	no	—
1683	C₂³	—	4	4	no	—
1684	C₂³	—	4	4	no	—
1685	C₂³	—	4	4	no	—
1686	C₂³	—	4	4	no	—
1687	C₂³	—	26	1	no	—
1688	C₂³	—	26	1	no	—
1689	C₂³	—	26	1	no	—
1690	C₂³	—	26	1	no	—
1691	C₂³	—	26	1	no	—
1692	C₂³	—	26	1	no	—
1693	C₂³	—	26	1	no	—
1694	C₂³	C₂×#6129	1	2	yes	—
1695	C₂³	C₂×#6129	1	2	yes	—
1696	C₂³	C₂×#6129	1	2	yes	—
1697	C₂³	#88251	1	2	yes	—
1698	C₂³	#88251	1	2	yes	—
1699	C₂³	#88251	1	2	yes	—
1700	C₂³	#88251	1	2	yes	—
1701	C₂³	#88251	1	2	yes	—
1702	C₂³	#88251	1	2	yes	—
1703	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1704	Q₈	—	104	2	no	—
1705	D₄	—	4	4	no	—
1706	D₄	—	8	2	no	—
1707	D₄	—	8	2	no	—
1708	D₄	—	8	2	no	—
1709	D₄	—	8	2	no	—
1710	D₄	—	8	2	no	—
1711	D₄	—	8	2	no	—
1712	D₄	—	52	4	no	—
1713	D₄	—	104	2	no	—
1714	D₄	—	104	2	no	—
1715	D₄	—	104	2	no	—
1716	D₄	—	104	2	no	—
1717	D₄	—	104	2	no	—
1718	D₄	—	104	2	no	—
1719	D₄	—	104	2	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	26	1	no	—
1757	C₂×C₄	—	26	1	no	—
1758	C₂×C₄	—	26	1	no	—
1759	C₂×C₄	—	26	1	no	—
1760	C₂×C₄	—	26	1	no	—
1761	C₂×C₄	—	26	1	no	—
1762	C₂×C₄	—	26	1	no	—
1763	C₂×C₄	—	26	1	no	—
1764	C₂×C₄	—	26	1	no	—
1765	C₂×C₄	—	26	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	104	2	no	—
1787	C₂×C₄	—	104	2	no	—
1788	C₂×C₄	—	104	2	no	—
1789	C₂×C₄	—	104	2	no	—
1790	C₂×C₄	—	104	2	no	—
1791	C₂×C₄	—	104	2	no	—
1792	C₂²	—	2	2	no	—
1793	C₂²	—	2	2	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	2	no	—
1796	C₂²	—	2	2	no	—
1797	C₂²	—	2	2	no	—
1798	C₂²	—	2	2	no	—
1799	C₂²	—	2	2	no	—
1800	C₂²	—	2	2	no	—
1801	C₂²	—	2	2	no	—
1802	C₂²	—	2	2	no	—
1803	C₂²	—	2	2	no	—
1804	C₂²	—	2	2	no	—
1805	C₂²	—	2	2	no	—
1806	C₂²	—	2	2	no	—
1807	C₂²	—	2	2	no	—
1808	C₂²	—	2	2	no	—
1809	C₂²	—	2	2	no	—
1810	C₂²	—	2	2	no	—
1811	C₂²	—	2	2	no	—
1812	C₂²	—	2	2	no	—
1813	C₂²	—	2	2	no	—
1814	C₂²	—	2	2	no	—
1815	C₂²	—	2	2	no	—
1816	C₂²	—	4	16	no	—
1817	C₂²	—	4	16	no	—
1818	C₂²	—	4	16	no	—
1819	C₂²	—	4	16	no	—
1820	C₂²	—	4	16	no	—
1821	C₂²	—	4	16	no	—
1822	C₂²	—	4	16	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	52	1	no	—
1855	C₂²	—	52	1	no	—
1856	C₂²	—	52	1	no	—
1857	C₂²	—	52	1	no	—
1858	C₂²	—	52	1	no	—
1859	C₂²	—	52	1	no	—
1860	C₂²	—	52	1	no	—
1861	C₂²	#11719298	1	4	yes	—
1862	C₂²	C₂²×#6129	1	1	yes	characteristic
1863	C₂²	C₂×#88251	1	1	yes	characteristic
1864	C₂²	C₂×#88251	1	1	yes	characteristic
1865	C₂²	C₂×#88251	1	1	yes	characteristic
1866	C₂²	C₂×#88251	1	1	yes	characteristic
1867	C₂²	C₂×#88251	1	1	yes	characteristic
1868	C₂²	C₂×#88251	1	1	yes	characteristic
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	52	1	no	—
1877	C₄	—	52	1	no	—
1878	C₄	—	52	1	no	—
1879	C₄	—	52	1	no	—
1880	C₄	—	52	1	no	—
1881	C₄	—	52	1	no	—
1882	C₄	—	52	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	—	52	1	no	—
1885	C₄	—	52	1	no	—
1886	C₄	—	52	1	no	—
1887	C₄	—	52	1	no	—
1888	C₄	—	52	1	no	—
1889	C₄	—	52	1	no	—
1890	C₄	—	52	1	no	—
1891	C₂	—	2	4	no	—
1892	C₂	—	4	2	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	4	2	no	—
1895	C₂	—	4	2	no	—
1896	C₂	—	4	2	no	—
1897	C₂	—	4	2	no	—
1898	C₂	—	8	1	no	—
1899	C₂	—	104	1	no	—
1900	C₂	C₂×#11719298	1	1	yes	characteristic
1901	C₂	#13128523	1	1	yes	characteristic
1902	C₂	#13128523	1	1	yes	characteristic
1903	C₂	#13128991	1	1	yes	characteristic
1904	C₂	#13128991	1	1	yes	characteristic
1905	C₂	#13128991	1	1	yes	characteristic
1906	C₂	#13128991	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2846	C₂
hypercenter	#2846	D₁₃
hypocenter	C₁₃	#36725
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2846

Complements

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

N	H ≅ G/N	type
1. #13123113	C₂	semidirect
2. #13121882	C₂	semidirect
3. #13121877	C₂	semidirect
4. #13121873	C₂	semidirect
5. #13121873	C₂	semidirect
6. #13121399	C₂	semidirect
7. #13121397	C₂	semidirect
8. #13121231	C₂	semidirect
9. #13121227	C₂	semidirect
10. #13121223	C₂	semidirect
11. #13121223	C₂	semidirect
12. #13121216	C₂	semidirect
13. #13121214	C₂	semidirect
14. #13121161	C₂	semidirect
15. #13121157	C₂	semidirect
16. #13121058	C₂	semidirect
17. #13121040	C₂	semidirect
18. #13120645	C₂	semidirect
19. #13120574	C₂	semidirect
20. #13119081	C₂	semidirect
21. #13119079	C₂	semidirect
22. #13118961	C₂	semidirect
23. #13118959	C₂	semidirect
24. #13118376	C₂	semidirect
25. #13118368	C₂	semidirect
26. #13118302	C₂	semidirect
27. #13118294	C₂	semidirect
28. #13117497	C₂	semidirect
29. #13117491	C₂	semidirect
30. C₂×#11718908	C₂	semidirect
31. C₁₃×#2846	C₂	semidirect
53. C₂×#88193	C₂²	semidirect
54. C₂×#88193	C₂²	semidirect
55. C₂×#88192	C₂²	semidirect
56. C₂×#88190	C₂²	semidirect
57. C₂×#88189	C₂²	semidirect
58. C₂×D₄×Dic₁₃	C₂²	semidirect
59. C₂×#88139	C₂²	semidirect
60. C₂×#88137	C₂²	semidirect
61. C₂×#88135	C₂²	semidirect
62. C₂×#88133	C₂²	semidirect
63. C₂×#88133	C₂²	semidirect
64. C₂×#88132	C₂²	semidirect
87. #11718884	C₂²	semidirect
88. #11718884	C₂²	semidirect
89. #11718884	C₂²	semidirect
90. #11718884	C₂²	semidirect
91. #11718883	C₂²	semidirect
92. #11718883	C₂²	semidirect
93. #11718883	C₂²	semidirect
94. #11718883	C₂²	semidirect
95. #11718883	C₂²	semidirect
96. #11718883	C₂²	semidirect
97. #11718883	C₂²	semidirect
98. #11718883	C₂²	semidirect
99. #11718882	C₂²	semidirect
100. #11718882	C₂²	semidirect
101. #11718882	C₂²	semidirect
102. #11718882	C₂²	semidirect
103. #11718881	C₂²	semidirect
104. #11718881	C₂²	semidirect
105. #11718881	C₂²	semidirect
106. #11718881	C₂²	semidirect
107. #11718881	C₂²	semidirect
108. #11718881	C₂²	semidirect
109. #11718622	C₂²	semidirect
110. #11718622	C₂²	semidirect
111. #11718622	C₂²	semidirect
112. #11718622	C₂²	semidirect
113. #11718620	C₂²	semidirect
114. #11718620	C₂²	semidirect
115. #11718620	C₂²	semidirect
116. #11718620	C₂²	semidirect
117. #11718619	C₂²	semidirect
118. #11718619	C₂²	semidirect
119. #11718618	C₂²	semidirect
120. #11718618	C₂²	semidirect
121. #11718618	C₂²	semidirect
122. #11718618	C₂²	semidirect
123. #11718617	C₂²	semidirect
124. #11718617	C₂²	semidirect
125. #11718617	C₂²	semidirect
126. #11718617	C₂²	semidirect
127. #11718614	C₂²	semidirect
128. #11718614	C₂²	semidirect
129. #11718614	C₂²	semidirect
130. #11718614	C₂²	semidirect
131. #11718613	C₂²	semidirect
132. #11718613	C₂²	semidirect
133. #11718613	C₂²	semidirect
134. #11718613	C₂²	semidirect
135. #11718613	C₂²	semidirect
136. #11718613	C₂²	semidirect
137. #11718613	C₂²	semidirect
138. #11718613	C₂²	semidirect
139. #11718612	C₂²	semidirect
140. #11718612	C₂²	semidirect
141. #11718612	C₂²	semidirect
142. #11718612	C₂²	semidirect
143. #11718612	C₂²	semidirect
144. #11718612	C₂²	semidirect
145. #11718612	C₂²	semidirect
146. #11718612	C₂²	semidirect
147. #11718611	C₂²	semidirect
148. #11718611	C₂²	semidirect
149. #11718610	C₂²	semidirect
150. #11718610	C₂²	semidirect
151. #11718610	C₂²	semidirect
152. #11718610	C₂²	semidirect
153. #11718609	C₂²	semidirect
154. #11718609	C₂²	semidirect
155. #11718609	C₂²	semidirect
156. #11718609	C₂²	semidirect
157. #11718609	C₂²	semidirect
158. #11718609	C₂²	semidirect
159. #11718609	C₂²	semidirect
160. #11718609	C₂²	semidirect
161. #11718608	C₂²	semidirect
162. #11718608	C₂²	semidirect
163. #11718608	C₂²	semidirect
164. #11718608	C₂²	semidirect
165. #11718607	C₂²	semidirect
166. #11718607	C₂²	semidirect
167. #11718606	C₂²	semidirect
168. #11718606	C₂²	semidirect
169. #11718606	C₂²	semidirect
170. #11718606	C₂²	semidirect
171. #11718606	C₂²	semidirect
172. #11718606	C₂²	semidirect
173. #11718606	C₂²	semidirect
174. #11718606	C₂²	semidirect
175. #11718605	C₂²	semidirect
176. #11718605	C₂²	semidirect
177. #11718605	C₂²	semidirect
178. #11718605	C₂²	semidirect
179. #11718605	C₂²	semidirect
180. #11718605	C₂²	semidirect
181. #11718605	C₂²	semidirect
182. #11718605	C₂²	semidirect
183. #11718603	C₂²	semidirect
184. #11718603	C₂²	semidirect
185. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
186. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
215. C₂²×C₂²⋊D₁₃	C₂³	semidirect
220. C₂³×Dic₁₃	C₂³	semidirect
221. C₂²×C₄×D₁₃	C₂³	semidirect
222. C₂²×Dic₂₆	C₂³	semidirect
309. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
310. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
311. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
312. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
313. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
314. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
321. C₂×#6103	C₂³	semidirect
322. C₂×#6103	C₂³	semidirect
323. C₂×#6103	C₂³	semidirect
324. C₂×#6103	C₂³	semidirect
325. C₂×#6103	C₂³	semidirect
326. C₂×#6103	C₂³	semidirect
327. C₂×C₄⋊Dic₁₃	C₂³	semidirect
328. C₂×C₄⋊Dic₁₃	C₂³	semidirect
329. C₂×C₄⋊Dic₁₃	C₂³	semidirect
330. C₂×C₄⋊Dic₁₃	C₂³	semidirect
331. C₂×C₄⋊Dic₁₃	C₂³	semidirect
332. C₂×C₄⋊Dic₁₃	C₂³	semidirect
333. C₂×#6101	C₂³	semidirect
334. C₂×#6101	C₂³	semidirect
335. C₂×#6101	C₂³	semidirect
336. C₂×#6101	C₂³	semidirect
337. C₂×#6101	C₂³	semidirect
338. C₂×#6101	C₂³	semidirect
339. C₂×#6101	C₂³	semidirect
340. C₂×#6101	C₂³	semidirect
341. C₂×#6101	C₂³	semidirect
342. C₂×#6101	C₂³	semidirect
343. C₂×#6101	C₂³	semidirect
344. C₂×#6101	C₂³	semidirect
345. C₂×C₄×Dic₁₃	C₂³	semidirect
346. C₂×C₄×Dic₁₃	C₂³	semidirect
347. C₂×C₄×Dic₁₃	C₂³	semidirect
348. C₂×C₄×Dic₁₃	C₂³	semidirect
349. C₂×C₄×Dic₁₃	C₂³	semidirect
350. C₂×C₄×Dic₁₃	C₂³	semidirect
357. #88071	C₂³	semidirect
358. #88071	C₂³	semidirect
359. #88071	C₂³	semidirect
360. #88071	C₂³	semidirect
361. #88071	C₂³	semidirect
362. #88071	C₂³	semidirect
363. #88071	C₂³	semidirect
364. #88071	C₂³	semidirect
365. #88071	C₂³	semidirect
366. #88071	C₂³	semidirect
367. #88071	C₂³	semidirect
368. #88071	C₂³	semidirect
369. #88071	C₂³	semidirect
370. #88071	C₂³	semidirect
371. #88071	C₂³	semidirect
372. #88071	C₂³	semidirect
373. #88071	C₂³	semidirect
374. #88071	C₂³	semidirect
375. #88071	C₂³	semidirect
376. #88071	C₂³	semidirect
377. #88071	C₂³	semidirect
378. #88071	C₂³	semidirect
379. #88071	C₂³	semidirect
380. #88071	C₂³	semidirect
638. #2846	D₁₃	semidirect
1589. C₁₃	#36725	semidirect

Maximal subgroups

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

subgroup	index
#13123113	2
#13121882	2
#13121877	2
#13121873	2
#13121399	2
#13121397	2
#13121231	2
#13121227	2
#13121223	2
#13121216	2
#13121214	2
#13121161	2
#13121157	2
#13121058	2
#13121040	2
#13120645	2
#13120574	2
#13119081	2
#13119079	2
#13118961	2
#13118959	2
#13118376	2
#13118368	2
#13118302	2
#13118294	2
#13117497	2
#13117491	2
C₂×#11718908	2
C₁₃×#2846	2
#36725	13