Subgroups — #16029079

Order 3328.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719388	C₂	1	1	yes	maximal, characteristic
2	#13118009	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118008	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118005	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117910	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117907	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117905	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117903	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117902	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117818	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117818	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117817	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117814	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117813	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117812	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117651	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117650	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117649	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117649	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117648	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117644	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117498	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117495	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117493	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117490	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117489	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117489	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88201	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117377	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88201	C₂²	1	1	yes	characteristic
36	C₂×#88201	C₂²	1	1	yes	characteristic
37	C₂×#88191	C₂²	1	1	yes	characteristic
38	C₂×#88191	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
42	#11719388	C₄	1	16	yes	complemented
43	C₂×#88147	C₂²	1	1	yes	characteristic
44	C₂×#88147	C₂²	1	1	yes	characteristic
45	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88139	C₂²	1	1	yes	characteristic
47	C₂×#88139	C₂²	1	1	yes	characteristic
48	C₂×#88139	C₂²	1	1	yes	characteristic
49	C₂×#88139	C₂²	1	1	yes	characteristic
50	C₂×#88136	C₂²	1	1	yes	characteristic
51	C₂×#88136	C₂²	1	1	yes	characteristic
52	C₂×#88136	C₂²	1	1	yes	characteristic
53	C₂×#88136	C₂²	1	1	yes	characteristic
54	C₂×#88135	C₂²	1	1	yes	characteristic
55	C₂×#88135	C₂²	1	1	yes	characteristic
56	C₂×#88135	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88129	C₂²	1	1	yes	characteristic
62	C₂×#88129	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
65	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#390	C₂²	1	1	yes	characteristic
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×#385	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
76	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
78	#11718891	C₂²	1	1	yes	characteristic, complemented
79	#11718891	C₂²	1	1	yes	characteristic, complemented
80	#11718881	C₂²	1	1	yes	characteristic
81	#11718881	C₂²	1	1	yes	characteristic
82	#11718874	C₂²	1	1	yes	characteristic
83	#11718874	C₂²	1	1	yes	characteristic
84	#11718874	C₂²	1	1	yes	characteristic
85	#11718871	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
87	#11718651	C₂²	1	1	yes	characteristic, complemented
88	#11718651	C₂²	1	1	yes	characteristic, complemented
89	#11718651	C₂²	1	1	yes	characteristic, complemented
90	#11718651	C₂²	1	1	yes	characteristic, complemented
91	#11718651	C₂²	1	1	yes	characteristic, complemented
92	#11718651	C₂²	1	1	yes	characteristic, complemented
93	#11718651	C₂²	1	1	yes	characteristic, complemented
94	#11718651	C₂²	1	1	yes	characteristic, complemented
95	#11718651	C₂²	1	1	yes	characteristic, complemented
96	#11718650	C₂²	1	1	yes	characteristic, complemented
97	#11718650	C₂²	1	1	yes	characteristic, complemented
98	#11718650	C₂²	1	1	yes	characteristic, complemented
99	#11718650	C₂²	1	1	yes	characteristic, complemented
100	#11718650	C₂²	1	1	yes	characteristic, complemented
101	#11718650	C₂²	1	1	yes	characteristic, complemented
102	#11718650	C₂²	1	1	yes	characteristic, complemented
103	#11718649	C₂²	1	1	yes	characteristic
104	#11718649	C₂²	1	1	yes	characteristic
105	#11718638	C₂²	1	1	yes	characteristic, complemented
106	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
107	#11718635	C₂²	1	1	yes	characteristic, complemented
108	#11718619	C₂²	1	1	yes	characteristic
109	#11718618	C₂²	1	1	yes	characteristic
110	#11718618	C₂²	1	1	yes	characteristic
111	#11718618	C₂²	1	1	yes	characteristic
112	#11718618	C₂²	1	1	yes	characteristic
113	#11718617	C₂²	1	1	yes	characteristic
114	#11718617	C₂²	1	1	yes	characteristic
115	#11718617	C₂²	1	1	yes	characteristic
116	#11718617	C₂²	1	1	yes	characteristic
117	#11718616	C₂²	1	1	yes	characteristic, complemented
118	#11718616	C₂²	1	1	yes	characteristic, complemented
119	#11718612	C₂²	1	1	yes	characteristic, complemented
120	#11718612	C₂²	1	1	yes	characteristic, complemented
121	#11718612	C₂²	1	1	yes	characteristic, complemented
122	#11718612	C₂²	1	1	yes	characteristic, complemented
123	#11718611	C₂²	1	1	yes	characteristic, complemented
124	#11718611	C₂²	1	1	yes	characteristic, complemented
125	#11718607	C₂²	1	1	yes	characteristic, complemented
126	#11718606	C₂²	1	1	yes	characteristic, complemented
127	#11718606	C₂²	1	1	yes	characteristic, complemented
128	#11718605	C₂²	1	1	yes	characteristic, complemented
129	#11718605	C₂²	1	1	yes	characteristic, complemented
130	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
131	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
132	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
133	#11718601	C₂²	1	1	yes	characteristic, complemented
134	#11718601	C₂²	1	1	yes	characteristic, complemented
135	#11718601	C₂²	1	1	yes	characteristic, complemented
136	#11718601	C₂²	1	1	yes	characteristic, complemented
137	#11718601	C₂²	1	1	yes	characteristic, complemented
138	#11718601	C₂²	1	1	yes	characteristic, complemented
139	#11718601	C₂²	1	1	yes	characteristic, complemented
140	#11718600	C₂²	1	1	yes	characteristic
141	#11718600	C₂²	1	1	yes	characteristic
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	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
147	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
148	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
149	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
150	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
151	#11718598	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
154	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
155	#11718590	C₂²	1	1	yes	characteristic, complemented
156	#11718331	C₂²	1	1	yes	characteristic, complemented
157	#11718331	C₂²	1	1	yes	characteristic, complemented
158	#11718331	C₂²	1	1	yes	characteristic, complemented
159	#11718330	C₂²	1	1	yes	characteristic, complemented
160	#11718330	C₂²	1	1	yes	characteristic, complemented
161	#11718330	C₂²	1	1	yes	characteristic, complemented
162	#11718330	C₂²	1	1	yes	characteristic, complemented
163	#11718330	C₂²	1	1	yes	characteristic, complemented
164	#11718329	C₂²	1	1	yes	characteristic, complemented
165	#11718329	C₂²	1	1	yes	characteristic, complemented
166	#11718329	C₂²	1	1	yes	characteristic, complemented
167	#11718329	C₂²	1	1	yes	characteristic, complemented
168	#11718329	C₂²	1	1	yes	characteristic, complemented
169	#11718327	C₂²	1	1	yes	characteristic, complemented
170	#11718327	C₂²	1	1	yes	characteristic, complemented
171	#11718327	C₂²	1	1	yes	characteristic, complemented
172	#11718326	C₂²	1	1	yes	characteristic
173	#11718326	C₂²	1	1	yes	characteristic
174	#11718326	C₂²	1	1	yes	characteristic
175	#11718326	C₂²	1	1	yes	characteristic
176	#11718326	C₂²	1	1	yes	characteristic
177	#11718326	C₂²	1	1	yes	characteristic
178	#11718326	C₂²	1	1	yes	characteristic
179	#11718326	C₂²	1	1	yes	characteristic
180	#11718312	C₂²	1	1	yes	characteristic, complemented
181	#11718311	C₂²	1	1	yes	characteristic, complemented
182	#11718311	C₂²	1	1	yes	characteristic, complemented
183	#11718310	C₂²	1	1	yes	characteristic, complemented
184	#11718307	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	#11718307	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
189	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₁₃	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	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂²×D₅₂	C₂³	1	1	yes	characteristic
201	C₂²×D₅₂	C₂³	1	1	yes	characteristic
202	C₂²×D₅₂	C₂³	1	1	yes	characteristic
203	C₂²×D₅₂	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
214	C₁₃×#124	C₂×C₄	1	8	yes	complemented
215	C₄×Q₈×C₁₃	—	4	2	no	—
216	C₄×D₄×C₁₃	—	4	2	no	—
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	#88201	C₂×C₄	1	8	yes	complemented
249	#88201	C₂×C₄	1	8	yes	complemented
250	#88191	C₂×C₄	1	8	yes	complemented
251	#88191	C₂×C₄	1	8	yes	complemented
252	C₄×C₂²⋊D₁₃	—	4	2	no	—
253	C₂×#6103	—	4	2	no	—
254	C₂×#6103	—	4	2	no	—
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	1	yes	characteristic
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	1	yes	characteristic
279	C₂×#6103	C₂³	1	1	yes	characteristic
280	C₂×#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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	1	yes	characteristic
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	1	yes	characteristic
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	#88147	—	4	2	no	—
318	#88147	—	4	2	no	—
319	#88141	—	4	2	no	—
320	#88139	C₂×C₄	1	8	yes	complemented
321	#88139	C₂×C₄	1	8	yes	complemented
322	#88139	C₂×C₄	1	8	yes	complemented
323	#88139	C₂×C₄	1	8	yes	complemented
324	#88136	C₂×C₄	1	8	yes	complemented
325	#88136	C₂×C₄	1	8	yes	complemented
326	#88136	C₂×C₄	1	8	yes	complemented
327	#88136	C₂×C₄	1	8	yes	complemented
328	#88135	—	4	2	no	—
329	#88135	—	4	2	no	—
330	#88135	—	4	2	no	—
331	C₂²⋊C₄×D₁₃	—	4	2	no	—
332	C₂²⋊C₄×D₁₃	—	4	2	no	—
333	C₂²⋊C₄×D₁₃	—	4	2	no	—
334	C₂²⋊C₄×D₁₃	—	4	2	no	—
335	#88129	C₂×C₄	1	8	yes	complemented
336	#88129	C₂×C₄	1	8	yes	complemented
337	C₄×D₅₂	—	4	2	no	—
338	C₄×D₅₂	—	4	2	no	—
339	C₄×Dic₂₆	—	4	2	no	—
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#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	#34529	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₁₃	—	4	1	no	—
380	C₂³×D₁₃	—	4	1	no	—
381	C₂³×D₁₃	—	4	1	no	—
382	C₂³×D₁₃	—	4	1	no	—
383	C₂³×D₁₃	—	4	1	no	—
384	C₂³×D₁₃	—	4	1	no	—
385	C₂³×D₁₃	—	4	1	no	—
386	C₂³×D₁₃	—	4	1	no	—
387	C₂³×D₁₃	—	4	1	no	—
388	C₂³×D₁₃	—	4	1	no	—
389	C₂³×D₁₃	—	4	1	no	—
390	C₂³×D₁₃	—	4	1	no	—
391	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
392	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
393	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
394	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
395	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×Q₈×C₁₃	—	4	1	no	—
398	C₂×Q₈×C₁₃	—	4	1	no	—
399	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
400	C₂×D₄×C₁₃	—	4	1	no	—
401	C₂×D₄×C₁₃	—	4	1	no	—
402	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
403	C₂²×C₄×C₁₃	—	2	2	no	—
404	C₂²×C₄×C₁₃	—	4	1	no	—
405	C₂²×C₄×C₁₃	—	4	1	no	—
406	C₂²×C₄×C₁₃	—	4	1	no	—
407	C₂²×C₄×C₁₃	—	4	1	no	—
408	C₂²×C₄×C₁₃	—	4	1	no	—
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₂²⋊D₁₃	—	4	1	no	—
423	C₂×C₂²⋊D₁₃	—	4	1	no	—
424	C₂×C₂²⋊D₁₃	—	4	1	no	—
425	C₂×C₂²⋊D₁₃	—	4	1	no	—
426	C₂×C₂²⋊D₁₃	—	4	1	no	—
427	C₂×C₂²⋊D₁₃	—	4	1	no	—
428	C₂×C₂²⋊D₁₃	—	4	1	no	—
429	C₂×C₂²⋊D₁₃	—	4	1	no	—
430	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
431	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
432	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
433	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
434	C₂²×Dic₁₃	—	2	2	no	—
435	C₂²×Dic₁₃	—	4	1	no	—
436	C₂²×Dic₁₃	—	4	1	no	—
437	C₂²×Dic₁₃	—	4	1	no	—
438	C₂²×Dic₁₃	—	4	1	no	—
439	C₂²×Dic₁₃	—	4	1	no	—
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	C₂×D₅₂	—	4	1	no	—
453	C₂×D₅₂	—	4	1	no	—
454	C₂×D₅₂	—	4	1	no	—
455	C₂×D₅₂	—	4	1	no	—
456	C₂×D₅₂	—	4	1	no	—
457	C₂×D₅₂	—	4	1	no	—
458	C₂×D₅₂	—	4	1	no	—
459	C₂×D₅₂	—	4	1	no	—
460	C₂×D₅₂	C₂²×C₄	1	4	yes	—
461	C₂×D₅₂	C₂²×C₄	1	4	yes	—
462	C₂×D₅₂	C₂²×C₄	1	4	yes	—
463	C₂×D₅₂	C₂²×C₄	1	4	yes	—
464	C₂×C₄×D₁₃	—	2	2	no	—
465	C₂×C₄×D₁₃	—	2	2	no	—
466	C₂×C₄×D₁₃	—	2	2	no	—
467	C₂×C₄×D₁₃	—	2	2	no	—
468	C₂×C₄×D₁₃	—	4	1	no	—
469	C₂×C₄×D₁₃	—	4	1	no	—
470	C₂×C₄×D₁₃	—	4	1	no	—
471	C₂×C₄×D₁₃	—	4	1	no	—
472	C₂×C₄×D₁₃	—	4	1	no	—
473	C₂×C₄×D₁₃	—	4	1	no	—
474	C₂×C₄×D₁₃	—	4	1	no	—
475	C₂×C₄×D₁₃	—	4	1	no	—
476	C₂×C₄×D₁₃	—	4	1	no	—
477	C₂×C₄×D₁₃	—	4	1	no	—
478	C₂×C₄×D₁₃	—	4	1	no	—
479	C₂×C₄×D₁₃	—	4	1	no	—
480	C₂×C₄×D₁₃	—	4	1	no	—
481	C₂×C₄×D₁₃	—	4	1	no	—
482	C₂×C₄×D₁₃	—	4	1	no	—
483	C₂×C₄×D₁₃	—	4	1	no	—
484	C₂×C₄×D₁₃	—	4	1	no	—
485	C₂×C₄×D₁₃	—	4	1	no	—
486	C₂×C₄×D₁₃	—	4	1	no	—
487	C₂×C₄×D₁₃	—	4	1	no	—
488	C₂×Dic₂₆	—	4	1	no	—
489	C₂×Dic₂₆	—	4	1	no	—
490	C₂×Dic₂₆	—	4	1	no	—
491	C₂×Dic₂₆	—	4	1	no	—
492	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
493	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
494	C₁₃×C₄⋊C₄	—	2	2	no	—
495	C₁₃×C₄⋊C₄	—	2	2	no	—
496	C₁₃×C₄⋊C₄	—	2	2	no	—
497	C₁₃×C₄⋊C₄	—	4	1	no	—
498	C₁₃×C₄⋊C₄	—	4	1	no	—
499	C₁₃×C₄⋊C₄	—	4	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	2	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	4	1	no	—
504	C₁₃×C₂²⋊C₄	—	4	1	no	—
505	C₁₃×C₂²⋊C₄	—	4	1	no	—
506	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
507	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
508	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
509	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
510	C₄²×C₁₃	—	2	2	no	—
511	C₄²×C₁₃	—	4	1	no	—
512	C₄²×C₁₃	—	4	1	no	—
513	C₄²×C₁₃	—	4	1	no	—
514	C₄²×C₁₃	—	4	1	no	—
515	C₄²×C₁₃	—	4	1	no	—
516	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
517	C₂²⋊Dic₁₃	—	2	2	no	—
518	C₂²⋊Dic₁₃	—	4	1	no	—
519	C₂²⋊Dic₁₃	—	4	1	no	—
520	C₂²⋊Dic₁₃	—	4	1	no	—
521	C₂²⋊Dic₁₃	—	4	1	no	—
522	C₂²⋊Dic₁₃	—	4	1	no	—
523	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
524	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
525	#6103	—	2	2	no	—
526	#6103	—	2	2	no	—
527	#6103	—	2	2	no	—
528	#6103	—	2	2	no	—
529	#6103	—	2	2	no	—
530	#6103	—	2	2	no	—
531	#6103	—	2	2	no	—
532	#6103	—	2	2	no	—
533	#6103	—	4	1	no	—
534	#6103	—	4	1	no	—
535	#6103	—	4	1	no	—
536	#6103	—	4	1	no	—
537	#6103	—	4	1	no	—
538	#6103	—	4	1	no	—
539	#6103	—	4	1	no	—
540	#6103	—	4	1	no	—
541	#6103	—	4	1	no	—
542	#6103	—	4	1	no	—
543	#6103	—	4	1	no	—
544	#6103	—	4	1	no	—
545	#6103	—	4	1	no	—
546	#6103	—	4	1	no	—
547	#6103	—	4	1	no	—
548	#6103	—	4	1	no	—
549	#6103	C₂²×C₄	1	4	yes	—
550	#6103	C₂²×C₄	1	4	yes	—
551	#6103	C₂²×C₄	1	4	yes	—
552	#6103	C₂²×C₄	1	4	yes	—
553	#6103	C₂²×C₄	1	4	yes	—
554	#6103	C₂²×C₄	1	4	yes	—
555	#6103	C₂²×C₄	1	4	yes	—
556	#6103	C₂²×C₄	1	4	yes	—
557	#6103	C₂²×C₄	1	4	yes	—
558	#6103	C₂²×C₄	1	4	yes	—
559	#6103	C₂²×C₄	1	4	yes	—
560	#6103	C₂²×C₄	1	4	yes	—
561	C₄⋊Dic₁₃	—	2	2	no	—
562	C₄⋊Dic₁₃	—	4	1	no	—
563	C₄⋊Dic₁₃	—	4	1	no	—
564	C₄⋊Dic₁₃	—	4	1	no	—
565	#6101	—	2	2	no	—
566	#6101	—	2	2	no	—
567	#6101	—	4	1	no	—
568	#6101	—	4	1	no	—
569	#6101	—	4	1	no	—
570	#6101	—	4	1	no	—
571	#6101	—	4	1	no	—
572	#6101	—	4	1	no	—
573	C₄×Dic₁₃	—	2	2	no	—
574	C₄×Dic₁₃	—	2	2	no	—
575	C₄×Dic₁₃	—	4	1	no	—
576	C₄×Dic₁₃	—	4	1	no	—
577	C₄×Dic₁₃	—	4	1	no	—
578	C₄×Dic₁₃	—	4	1	no	—
579	C₄×Dic₁₃	—	4	1	no	—
580	C₄×Dic₁₃	—	4	1	no	—
581	C₄×Dic₁₃	—	4	1	no	—
582	C₄×Dic₁₃	—	4	1	no	—
583	C₄×Dic₁₃	—	4	1	no	—
584	C₄×Dic₁₃	—	4	1	no	—
585	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
586	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
587	C₂×H(3,𝔽₄)	—	13	1	no	—
588	#2379	—	13	1	no	—
589	#2379	—	13	1	no	—
590	#2379	—	13	1	no	—
591	#2367	—	13	1	no	—
592	#2367	—	13	1	no	—
593	#2367	—	13	1	no	—
594	#2367	—	13	1	no	—
595	#2367	—	13	1	no	—
596	#2367	D₁₃	1	1	yes	characteristic, complemented
597	#2358	—	13	1	no	—
598	#2358	—	13	1	no	—
599	#2358	—	13	1	no	—
600	#2358	—	13	1	no	—
601	#2358	—	13	1	no	—
602	#2358	—	13	1	no	—
603	#2337	—	13	1	no	—
604	#2337	—	13	1	no	—
605	#2337	—	13	1	no	—
606	#2337	—	13	1	no	—
607	#2337	—	13	1	no	—
608	#2337	—	13	1	no	—
609	#2321	—	13	1	no	—
610	#2321	—	13	1	no	—
611	#2321	—	13	1	no	—
612	#2321	—	13	1	no	—
613	#2321	—	13	1	no	—
614	#2321	—	13	1	no	—
615	C₄×#124	—	13	1	no	—
616	C₄×#124	—	13	1	no	—
617	C₄×#124	—	13	1	no	—
618	C₂³×C₁₃	—	2	1	no	—
619	C₂³×C₁₃	—	2	1	no	—
620	C₂³×C₁₃	—	2	1	no	—
621	C₂³×C₁₃	—	2	1	no	—
622	C₂³×C₁₃	—	2	1	no	—
623	C₂³×C₁₃	—	2	1	no	—
624	C₂³×C₁₃	—	2	1	no	—
625	C₂³×C₁₃	—	2	1	no	—
626	C₂³×C₁₃	—	2	1	no	—
627	C₂³×C₁₃	—	2	1	no	—
628	C₂³×C₁₃	—	2	1	no	—
629	C₂³×C₁₃	—	2	1	no	—
630	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
631	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
632	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
633	C₂²×D₁₃	—	2	1	no	—
634	C₂²×D₁₃	—	2	1	no	—
635	C₂²×D₁₃	—	2	1	no	—
636	C₂²×D₁₃	—	2	1	no	—
637	C₂²×D₁₃	—	2	1	no	—
638	C₂²×D₁₃	—	2	1	no	—
639	C₂²×D₁₃	—	2	1	no	—
640	C₂²×D₁₃	—	2	1	no	—
641	C₂²×D₁₃	—	2	1	no	—
642	C₂²×D₁₃	—	2	1	no	—
643	C₂²×D₁₃	—	2	1	no	—
644	C₂²×D₁₃	—	2	1	no	—
645	C₂²×D₁₃	—	2	1	no	—
646	C₂²×D₁₃	—	2	1	no	—
647	C₂²×D₁₃	—	2	1	no	—
648	C₂²×D₁₃	—	2	1	no	—
649	C₂²×D₁₃	—	2	1	no	—
650	C₂²×D₁₃	—	2	1	no	—
651	C₂²×D₁₃	—	2	1	no	—
652	C₂²×D₁₃	—	2	1	no	—
653	C₂²×D₁₃	—	2	1	no	—
654	C₂²×D₁₃	—	2	1	no	—
655	C₂²×D₁₃	—	2	1	no	—
656	C₂²×D₁₃	—	2	1	no	—
657	C₂²×D₁₃	—	4	4	no	—
658	C₂²×D₁₃	—	4	4	no	—
659	C₂²×D₁₃	—	4	4	no	—
660	C₂²×D₁₃	—	4	4	no	—
661	C₂²×D₁₃	—	4	4	no	—
662	C₂²×D₁₃	—	4	4	no	—
663	C₂²×D₁₃	—	8	2	no	—
664	C₂²×D₁₃	—	8	2	no	—
665	C₂²×D₁₃	—	8	2	no	—
666	C₂²×D₁₃	—	8	2	no	—
667	C₂²×D₁₃	—	8	2	no	—
668	C₂²×D₁₃	—	8	2	no	—
669	C₂²×D₁₃	—	8	2	no	—
670	C₂²×D₁₃	—	8	2	no	—
671	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
672	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
673	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
674	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
675	Q₈×C₁₃	—	4	4	no	—
676	D₄×C₁₃	—	4	4	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	2	1	no	—
689	C₂×C₄×C₁₃	—	2	1	no	—
690	C₂×C₄×C₁₃	—	2	1	no	—
691	C₂×C₄×C₁₃	—	2	1	no	—
692	C₂×C₄×C₁₃	—	2	1	no	—
693	C₂×C₄×C₁₃	—	2	1	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	1	no	—
696	C₂×C₄×C₁₃	—	2	1	no	—
697	C₂×C₄×C₁₃	—	2	1	no	—
698	C₂×C₄×C₁₃	—	2	1	no	—
699	C₂×C₄×C₁₃	—	2	1	no	—
700	C₂×C₄×C₁₃	—	2	1	no	—
701	C₂×C₄×C₁₃	—	2	1	no	—
702	C₂×C₄×C₁₃	—	2	1	no	—
703	C₂×C₄×C₁₃	—	2	1	no	—
704	C₂×C₄×C₁₃	—	2	1	no	—
705	C₂×C₄×C₁₃	—	2	1	no	—
706	C₂×C₄×C₁₃	—	2	1	no	—
707	C₂×C₄×C₁₃	—	2	1	no	—
708	C₂×C₄×C₁₃	—	2	1	no	—
709	C₂×C₄×C₁₃	—	8	2	no	—
710	C₂×C₄×C₁₃	—	8	2	no	—
711	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
712	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
713	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
714	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
715	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
716	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
717	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
718	C₂²⋊D₁₃	—	4	4	no	—
719	C₂²⋊D₁₃	—	4	4	no	—
720	C₂²⋊D₁₃	—	4	4	no	—
721	C₂²⋊D₁₃	—	4	4	no	—
722	C₂×Dic₁₃	—	2	1	no	—
723	C₂×Dic₁₃	—	2	1	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	2	1	no	—
728	C₂×Dic₁₃	—	2	1	no	—
729	C₂×Dic₁₃	—	2	1	no	—
730	C₂×Dic₁₃	—	2	1	no	—
731	C₂×Dic₁₃	—	2	1	no	—
732	C₂×Dic₁₃	—	2	1	no	—
733	C₂×Dic₁₃	—	2	1	no	—
734	C₂×Dic₁₃	—	2	1	no	—
735	C₂×Dic₁₃	—	2	1	no	—
736	C₂×Dic₁₃	—	2	1	no	—
737	C₂×Dic₁₃	—	2	1	no	—
738	C₂×Dic₁₃	—	2	1	no	—
739	C₂×Dic₁₃	—	2	1	no	—
740	C₂×Dic₁₃	—	2	1	no	—
741	C₂×Dic₁₃	—	2	1	no	—
742	C₂×Dic₁₃	—	2	1	no	—
743	C₂×Dic₁₃	—	2	1	no	—
744	C₂×Dic₁₃	—	2	1	no	—
745	C₂×Dic₁₃	—	2	1	no	—
746	C₂×Dic₁₃	—	2	1	no	—
747	C₂×Dic₁₃	—	2	1	no	—
748	C₂×Dic₁₃	—	2	1	no	—
749	C₂×Dic₁₃	—	2	1	no	—
750	C₂×Dic₁₃	—	2	1	no	—
751	C₂×Dic₁₃	—	2	1	no	—
752	C₂×Dic₁₃	—	2	1	no	—
753	C₂×Dic₁₃	—	8	2	no	—
754	C₂×Dic₁₃	—	8	2	no	—
755	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
756	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
757	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
758	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
759	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
760	D₅₂	—	4	4	no	—
761	D₅₂	—	4	4	no	—
762	D₅₂	—	4	4	no	—
763	D₅₂	—	4	4	no	—
764	C₄×D₁₃	—	8	2	no	—
765	C₄×D₁₃	—	8	2	no	—
766	C₄×D₁₃	—	8	2	no	—
767	C₄×D₁₃	—	8	2	no	—
768	C₄×D₁₃	—	8	2	no	—
769	C₄×D₁₃	—	8	2	no	—
770	C₄×D₁₃	—	8	2	no	—
771	C₄×D₁₃	—	8	2	no	—
772	Dic₂₆	—	4	4	no	—
773	Dic₂₆	—	4	4	no	—
774	H(3,𝔽₄)	—	13	16	no	—
775	C₂×#124	—	13	1	no	—
776	C₂×#124	—	13	1	no	—
777	C₂×#124	—	13	1	no	—
778	C₂×#124	—	13	1	no	—
779	C₂×#124	—	13	1	no	—
780	C₂×#124	—	13	1	no	—
781	C₂×#124	—	13	1	no	—
782	C₂×#124	—	13	1	no	—
783	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
784	C₂×#120	—	13	1	no	—
785	C₂×#120	—	13	1	no	—
786	C₂×#120	—	13	1	no	—
787	C₂×#120	—	13	1	no	—
788	C₂×#120	—	13	1	no	—
789	C₂×#120	—	13	1	no	—
790	C₂×C₄×Q₈	—	13	1	no	—
791	C₂×C₄×Q₈	—	13	1	no	—
792	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
793	C₂×C₄×D₄	—	13	1	no	—
794	C₂×C₄×D₄	—	13	1	no	—
795	C₂×C₄×D₄	—	13	1	no	—
796	C₂×C₄×D₄	—	13	1	no	—
797	C₂×C₄×D₄	—	13	1	no	—
798	C₂×C₄×D₄	—	13	1	no	—
799	C₂×C₄×D₄	—	13	1	no	—
800	C₂×C₄×D₄	—	13	1	no	—
801	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
802	C₂²×C₂²⋊C₄	—	13	1	no	—
803	C₂²×C₂²⋊C₄	—	13	1	no	—
804	C₂²×C₂²⋊C₄	—	13	1	no	—
805	C₂²×C₂²⋊C₄	—	13	1	no	—
806	C₂²×C₂²⋊C₄	—	13	1	no	—
807	C₂²×C₂²⋊C₄	—	13	1	no	—
808	#391	—	13	1	no	—
809	#391	—	13	1	no	—
810	#391	—	13	1	no	—
811	#391	—	13	1	no	—
812	#391	—	13	1	no	—
813	#391	—	13	1	no	—
814	#391	—	13	1	no	—
815	#391	—	13	1	no	—
816	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
817	#390	—	13	1	no	—
818	#390	—	13	1	no	—
819	#390	—	13	1	no	—
820	#390	—	13	1	no	—
821	#390	—	13	1	no	—
822	#390	—	13	1	no	—
823	#390	—	13	1	no	—
824	#390	—	13	1	no	—
825	#390	C₂×D₁₃	1	1	yes	characteristic
826	#388	—	13	1	no	—
827	#388	—	13	1	no	—
828	#388	—	13	1	no	—
829	#388	—	13	1	no	—
830	#388	—	13	1	no	—
831	#388	—	13	1	no	—
832	#388	—	13	1	no	—
833	#388	—	13	1	no	—
834	#388	—	13	1	no	—
835	#388	—	13	1	no	—
836	#388	—	13	1	no	—
837	#388	—	13	1	no	—
838	#388	—	13	1	no	—
839	#388	—	13	1	no	—
840	#388	—	13	1	no	—
841	#388	—	13	1	no	—
842	#388	—	13	1	no	—
843	#388	—	13	1	no	—
844	#388	—	13	1	no	—
845	#388	—	13	1	no	—
846	#388	—	13	1	no	—
847	#388	—	13	1	no	—
848	#388	—	13	1	no	—
849	#388	—	13	1	no	—
850	#388	—	13	1	no	—
851	#388	—	13	1	no	—
852	#388	—	13	1	no	—
853	#388	—	13	1	no	—
854	#388	—	13	1	no	—
855	#388	—	13	1	no	—
856	#388	—	13	1	no	—
857	#388	—	13	1	no	—
858	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
859	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
860	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
861	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
862	#386	—	13	1	no	—
863	#386	—	13	1	no	—
864	#386	—	13	1	no	—
865	#386	—	13	1	no	—
866	#386	—	13	1	no	—
867	#386	—	13	1	no	—
868	#386	—	13	1	no	—
869	#386	—	13	1	no	—
870	#386	—	13	1	no	—
871	#386	—	13	1	no	—
872	#386	—	13	1	no	—
873	#386	—	13	1	no	—
874	#386	—	13	1	no	—
875	#386	—	13	1	no	—
876	#386	—	13	1	no	—
877	#386	—	13	1	no	—
878	#386	—	13	1	no	—
879	#386	—	13	1	no	—
880	#385	—	13	1	no	—
881	#385	—	13	1	no	—
882	#385	—	13	1	no	—
883	#385	—	13	1	no	—
884	#385	—	13	1	no	—
885	#385	—	13	1	no	—
886	#385	—	13	1	no	—
887	#385	—	13	1	no	—
888	#385	—	13	1	no	—
889	#385	—	13	1	no	—
890	#385	—	13	1	no	—
891	#385	—	13	1	no	—
892	#385	—	13	1	no	—
893	#385	—	13	1	no	—
894	#385	—	13	1	no	—
895	#385	—	13	1	no	—
896	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
897	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
898	#383	—	13	1	no	—
899	#383	—	13	1	no	—
900	#382	—	13	1	no	—
901	#382	—	13	1	no	—
902	#382	—	13	1	no	—
903	#379	—	13	1	no	—
904	#379	—	13	1	no	—
905	C₄×C₄⋊C₄	—	13	1	no	—
906	C₄×C₄⋊C₄	—	13	1	no	—
907	C₄×C₄⋊C₄	—	13	1	no	—
908	C₄×C₄⋊C₄	—	13	1	no	—
909	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
910	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
911	C₄×C₂²⋊C₄	—	13	1	no	—
912	C₄×C₂²⋊C₄	—	13	1	no	—
913	C₄×C₂²⋊C₄	—	13	1	no	—
914	C₄×C₂²⋊C₄	—	13	1	no	—
915	C₄×C₂²⋊C₄	—	13	1	no	—
916	C₄×C₂²⋊C₄	—	13	1	no	—
917	C₄×C₂²⋊C₄	—	13	1	no	—
918	C₄×C₂²⋊C₄	—	13	1	no	—
919	C₄×C₂²⋊C₄	—	13	1	no	—
920	C₄×C₂²⋊C₄	—	13	1	no	—
921	C₄×C₂²⋊C₄	—	13	1	no	—
922	C₄×C₂²⋊C₄	—	13	1	no	—
923	C₄×C₂²⋊C₄	—	13	1	no	—
924	C₄×C₂²⋊C₄	—	13	1	no	—
925	C₄×C₂²⋊C₄	—	13	1	no	—
926	C₄×C₂²⋊C₄	—	13	1	no	—
927	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
928	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
929	C₄³	—	13	1	no	—
930	C₂²×C₁₃	—	2	2	no	—
931	C₂²×C₁₃	—	2	2	no	—
932	C₂²×C₁₃	—	2	2	no	—
933	C₂²×C₁₃	—	2	2	no	—
934	C₂²×C₁₃	—	2	2	no	—
935	C₂²×C₁₃	—	2	2	no	—
936	C₂²×C₁₃	—	4	1	no	—
937	C₂²×C₁₃	—	4	1	no	—
938	C₂²×C₁₃	—	4	1	no	—
939	C₂²×C₁₃	—	4	1	no	—
940	C₂²×C₁₃	—	4	1	no	—
941	C₂²×C₁₃	—	4	1	no	—
942	C₂²×C₁₃	—	4	1	no	—
943	C₂²×C₁₃	—	4	1	no	—
944	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
945	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
946	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
947	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
948	C₂²×C₁₃	#585	1	1	yes	characteristic
949	C₂²×C₁₃	#585	1	1	yes	characteristic
950	C₂²×C₁₃	#585	1	1	yes	characteristic
951	C₂×D₁₃	—	2	2	no	—
952	C₂×D₁₃	—	2	2	no	—
953	C₂×D₁₃	—	2	2	no	—
954	C₂×D₁₃	—	2	2	no	—
955	C₂×D₁₃	—	2	2	no	—
956	C₂×D₁₃	—	2	2	no	—
957	C₂×D₁₃	—	2	2	no	—
958	C₂×D₁₃	—	2	2	no	—
959	C₂×D₁₃	—	2	2	no	—
960	C₂×D₁₃	—	2	2	no	—
961	C₂×D₁₃	—	2	2	no	—
962	C₂×D₁₃	—	2	2	no	—
963	C₂×D₁₃	—	4	1	no	—
964	C₂×D₁₃	—	4	1	no	—
965	C₂×D₁₃	—	4	1	no	—
966	C₂×D₁₃	—	4	1	no	—
967	C₂×D₁₃	—	4	1	no	—
968	C₂×D₁₃	—	4	1	no	—
969	C₂×D₁₃	—	4	1	no	—
970	C₂×D₁₃	—	4	1	no	—
971	C₂×D₁₃	—	4	1	no	—
972	C₂×D₁₃	—	4	1	no	—
973	C₂×D₁₃	—	4	1	no	—
974	C₂×D₁₃	—	4	1	no	—
975	C₂×D₁₃	—	4	1	no	—
976	C₂×D₁₃	—	4	1	no	—
977	C₂×D₁₃	—	4	1	no	—
978	C₂×D₁₃	—	4	1	no	—
979	C₂×D₁₃	—	8	8	no	—
980	C₂×D₁₃	—	8	8	no	—
981	C₄×C₁₃	—	2	2	no	—
982	C₄×C₁₃	—	2	2	no	—
983	C₄×C₁₃	—	2	2	no	—
984	C₄×C₁₃	—	2	2	no	—
985	C₄×C₁₃	—	2	2	no	—
986	C₄×C₁₃	—	2	2	no	—
987	C₄×C₁₃	—	2	2	no	—
988	C₄×C₁₃	—	4	1	no	—
989	C₄×C₁₃	—	4	1	no	—
990	C₄×C₁₃	—	4	1	no	—
991	C₄×C₁₃	—	4	1	no	—
992	C₄×C₁₃	—	4	1	no	—
993	C₄×C₁₃	—	4	1	no	—
994	Dic₁₃	—	2	2	no	—
995	Dic₁₃	—	2	2	no	—
996	Dic₁₃	—	2	2	no	—
997	Dic₁₃	—	2	2	no	—
998	Dic₁₃	—	2	2	no	—
999	Dic₁₃	—	4	1	no	—
1000	Dic₁₃	—	4	1	no	—
1001	Dic₁₃	—	4	1	no	—
1002	Dic₁₃	—	4	1	no	—
1003	Dic₁₃	—	4	1	no	—
1004	Dic₁₃	—	4	1	no	—
1005	Dic₁₃	—	4	1	no	—
1006	C₂⁵	—	13	1	no	—
1007	C₂⁵	—	13	1	no	—
1008	C₂²×Q₈	—	13	1	no	—
1009	C₂²×Q₈	—	13	1	no	—
1010	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂²×D₄	—	13	1	no	—
1012	C₂²×D₄	—	13	1	no	—
1013	C₂²×D₄	—	13	1	no	—
1014	C₂²×D₄	—	13	1	no	—
1015	C₂²×D₄	—	13	1	no	—
1016	C₂²×D₄	—	13	1	no	—
1017	C₂²×D₄	—	13	1	no	—
1018	C₂²×D₄	—	13	1	no	—
1019	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂³×C₄	—	13	1	no	—
1021	C₂³×C₄	—	13	1	no	—
1022	C₂³×C₄	—	13	1	no	—
1023	C₂³×C₄	—	13	1	no	—
1024	C₂³×C₄	—	13	1	no	—
1025	C₂³×C₄	—	13	1	no	—
1026	C₂³×C₄	—	13	1	no	—
1027	C₂³×C₄	—	13	1	no	—
1028	C₂³×C₄	—	13	1	no	—
1029	C₂³×C₄	—	13	1	no	—
1030	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	#124	—	13	8	no	—
1033	#124	—	13	8	no	—
1034	#124	—	13	8	no	—
1035	#124	—	13	8	no	—
1036	#124	—	13	8	no	—
1037	#124	—	13	8	no	—
1038	#124	—	13	8	no	—
1039	#124	—	13	8	no	—
1040	#124	C₄×D₁₃	1	8	yes	complemented
1041	#120	—	13	8	no	—
1042	#120	—	13	8	no	—
1043	#120	—	13	8	no	—
1044	#120	—	13	8	no	—
1045	#120	—	13	8	no	—
1046	#120	—	13	8	no	—
1047	C₄×Q₈	—	4	2	no	—
1048	C₄×Q₈	—	52	2	no	—
1049	C₄×Q₈	—	52	2	no	—
1050	C₄×D₄	—	4	2	no	—
1051	C₄×D₄	—	52	2	no	—
1052	C₄×D₄	—	52	2	no	—
1053	C₄×D₄	—	52	2	no	—
1054	C₄×D₄	—	52	2	no	—
1055	C₄×D₄	—	52	2	no	—
1056	C₄×D₄	—	52	2	no	—
1057	C₄×D₄	—	52	2	no	—
1058	C₄×D₄	—	52	2	no	—
1059	C₂×C₄⋊C₄	—	13	1	no	—
1060	C₂×C₄⋊C₄	—	13	1	no	—
1061	C₂×C₄⋊C₄	—	13	1	no	—
1062	C₂×C₄⋊C₄	—	13	1	no	—
1063	C₂×C₄⋊C₄	—	13	1	no	—
1064	C₂×C₄⋊C₄	—	13	1	no	—
1065	C₂×C₄⋊C₄	—	13	1	no	—
1066	C₂×C₄⋊C₄	—	13	1	no	—
1067	C₂×C₄⋊C₄	—	13	1	no	—
1068	C₂×C₄⋊C₄	—	13	1	no	—
1069	C₂×C₄⋊C₄	—	13	1	no	—
1070	C₂×C₄⋊C₄	—	13	1	no	—
1071	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	—	13	1	no	—
1078	C₂×C₂²⋊C₄	—	13	1	no	—
1079	C₂×C₂²⋊C₄	—	13	1	no	—
1080	C₂×C₂²⋊C₄	—	13	1	no	—
1081	C₂×C₂²⋊C₄	—	13	1	no	—
1082	C₂×C₂²⋊C₄	—	13	1	no	—
1083	C₂×C₂²⋊C₄	—	13	1	no	—
1084	C₂×C₂²⋊C₄	—	13	1	no	—
1085	C₂×C₂²⋊C₄	—	13	1	no	—
1086	C₂×C₂²⋊C₄	—	13	1	no	—
1087	C₂×C₂²⋊C₄	—	13	1	no	—
1088	C₂×C₂²⋊C₄	—	13	1	no	—
1089	C₂×C₂²⋊C₄	—	13	1	no	—
1090	C₂×C₂²⋊C₄	—	13	1	no	—
1091	C₂×C₂²⋊C₄	—	13	1	no	—
1092	C₂×C₂²⋊C₄	—	13	1	no	—
1093	C₂×C₂²⋊C₄	—	13	1	no	—
1094	C₂×C₂²⋊C₄	—	13	1	no	—
1095	C₂×C₂²⋊C₄	—	13	1	no	—
1096	C₂×C₂²⋊C₄	—	13	1	no	—
1097	C₂×C₂²⋊C₄	—	13	1	no	—
1098	C₂×C₂²⋊C₄	—	13	1	no	—
1099	C₂×C₂²⋊C₄	—	13	1	no	—
1100	C₂×C₂²⋊C₄	—	13	1	no	—
1101	C₂×C₂²⋊C₄	—	13	1	no	—
1102	C₂×C₂²⋊C₄	—	13	1	no	—
1103	C₂×C₂²⋊C₄	—	13	1	no	—
1104	C₂×C₂²⋊C₄	—	13	1	no	—
1105	C₂×C₂²⋊C₄	—	13	1	no	—
1106	C₂×C₂²⋊C₄	—	13	1	no	—
1107	C₂×C₂²⋊C₄	—	13	1	no	—
1108	C₂×C₂²⋊C₄	—	13	1	no	—
1109	C₂×C₂²⋊C₄	—	13	1	no	—
1110	C₂×C₂²⋊C₄	—	13	1	no	—
1111	C₂×C₂²⋊C₄	—	13	1	no	—
1112	C₂×C₂²⋊C₄	—	13	1	no	—
1113	C₂×C₂²⋊C₄	—	13	1	no	—
1114	C₂×C₂²⋊C₄	—	13	1	no	—
1115	C₂×C₂²⋊C₄	—	13	1	no	—
1116	C₂×C₂²⋊C₄	—	13	1	no	—
1117	C₂×C₂²⋊C₄	—	13	1	no	—
1118	C₂×C₂²⋊C₄	—	13	1	no	—
1119	C₂×C₂²⋊C₄	—	13	1	no	—
1120	C₂×C₂²⋊C₄	—	13	1	no	—
1121	C₂×C₂²⋊C₄	—	52	2	no	—
1122	C₂×C₂²⋊C₄	—	52	2	no	—
1123	C₂×C₂²⋊C₄	—	52	2	no	—
1124	C₂×C₂²⋊C₄	—	52	2	no	—
1125	C₂×C₂²⋊C₄	—	52	2	no	—
1126	C₂×C₂²⋊C₄	—	52	2	no	—
1127	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂×C₄²	—	13	1	no	—
1138	C₂×C₄²	—	13	1	no	—
1139	C₂×C₄²	—	13	1	no	—
1140	C₂×C₄²	—	13	1	no	—
1141	C₂×C₄²	—	13	1	no	—
1142	C₂×C₄²	—	13	1	no	—
1143	C₂×C₄²	—	13	1	no	—
1144	C₂×C₄²	—	13	1	no	—
1145	C₂×C₄²	—	13	1	no	—
1146	C₂×C₄²	—	13	1	no	—
1147	C₂×C₄²	—	13	1	no	—
1148	C₂×C₄²	—	13	1	no	—
1149	C₂×C₄²	—	13	1	no	—
1150	C₂×C₄²	—	13	1	no	—
1151	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1155	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1158	#95	—	13	1	no	—
1159	#95	—	13	1	no	—
1160	#95	—	13	1	no	—
1161	#95	—	13	1	no	—
1162	#95	—	13	1	no	—
1163	#95	—	13	1	no	—
1164	#95	—	13	1	no	—
1165	#95	—	13	1	no	—
1166	#95	—	13	1	no	—
1167	#95	—	13	1	no	—
1168	#95	—	13	1	no	—
1169	#95	—	13	1	no	—
1170	#95	—	13	1	no	—
1171	#95	—	13	1	no	—
1172	#95	—	13	1	no	—
1173	#95	—	13	1	no	—
1174	#95	—	13	1	no	—
1175	#95	—	13	1	no	—
1176	#95	—	13	1	no	—
1177	#95	—	13	1	no	—
1178	#95	—	13	1	no	—
1179	#95	—	13	1	no	—
1180	#95	—	13	1	no	—
1181	#95	—	13	1	no	—
1182	#95	—	13	1	no	—
1183	#95	—	13	1	no	—
1184	#95	—	13	1	no	—
1185	#95	—	13	1	no	—
1186	#95	C₂²×D₁₃	1	1	yes	characteristic
1187	#95	C₂²×D₁₃	1	1	yes	characteristic
1188	#95	C₂²×D₁₃	1	1	yes	characteristic
1189	#95	C₂²×D₁₃	1	1	yes	characteristic
1190	#95	C₂²×D₁₃	1	1	yes	characteristic
1191	#95	C₂²×D₁₃	1	1	yes	characteristic
1192	#95	C₂²×D₁₃	1	1	yes	characteristic
1193	#95	C₂²×D₁₃	1	1	yes	characteristic
1194	C₂×C₁₃	—	4	2	no	—
1195	C₂×C₁₃	—	4	2	no	—
1196	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1197	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1198	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1199	C₂×C₁₃	#3558	1	1	yes	characteristic
1200	C₂×C₁₃	#3558	1	1	yes	characteristic
1201	C₂×C₁₃	#3558	1	1	yes	characteristic
1202	C₂×C₁₃	#3568	1	1	yes	characteristic
1203	D₁₃	—	4	2	no	—
1204	D₁₃	—	4	2	no	—
1205	D₁₃	—	4	2	no	—
1206	D₁₃	—	4	2	no	—
1207	C₂⁴	—	13	1	no	—
1208	C₂⁴	—	13	1	no	—
1209	C₂⁴	—	13	1	no	—
1210	C₂⁴	—	13	1	no	—
1211	C₂⁴	—	13	4	no	—
1212	C₂⁴	—	13	4	no	—
1213	C₂⁴	—	52	1	no	—
1214	C₂⁴	—	52	1	no	—
1215	C₂⁴	—	52	1	no	—
1216	C₂⁴	—	52	1	no	—
1217	C₂⁴	—	52	1	no	—
1218	C₂⁴	—	52	1	no	—
1219	C₂⁴	—	52	1	no	—
1220	C₂⁴	—	52	1	no	—
1221	C₂⁴	—	52	1	no	—
1222	C₂⁴	—	52	1	no	—
1223	C₂⁴	—	52	1	no	—
1224	C₂⁴	—	52	1	no	—
1225	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1226	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1227	C₂×Q₈	—	4	1	no	—
1228	C₂×Q₈	—	4	1	no	—
1229	C₂×Q₈	—	13	4	no	—
1230	C₂×Q₈	—	13	4	no	—
1231	C₂×Q₈	—	52	1	no	—
1232	C₂×Q₈	—	52	1	no	—
1233	C₂×Q₈	—	52	1	no	—
1234	C₂×Q₈	—	52	1	no	—
1235	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	—
1236	C₂×D₄	—	4	1	no	—
1237	C₂×D₄	—	4	1	no	—
1238	C₂×D₄	—	13	4	no	—
1239	C₂×D₄	—	13	4	no	—
1240	C₂×D₄	—	13	4	no	—
1241	C₂×D₄	—	13	4	no	—
1242	C₂×D₄	—	13	4	no	—
1243	C₂×D₄	—	13	4	no	—
1244	C₂×D₄	—	13	4	no	—
1245	C₂×D₄	—	13	4	no	—
1246	C₂×D₄	—	52	1	no	—
1247	C₂×D₄	—	52	1	no	—
1248	C₂×D₄	—	52	1	no	—
1249	C₂×D₄	—	52	1	no	—
1250	C₂×D₄	—	52	1	no	—
1251	C₂×D₄	—	52	1	no	—
1252	C₂×D₄	—	52	1	no	—
1253	C₂×D₄	—	52	1	no	—
1254	C₂×D₄	—	52	1	no	—
1255	C₂×D₄	—	52	1	no	—
1256	C₂×D₄	—	52	1	no	—
1257	C₂×D₄	—	52	1	no	—
1258	C₂×D₄	—	52	1	no	—
1259	C₂×D₄	—	52	1	no	—
1260	C₂×D₄	—	52	1	no	—
1261	C₂×D₄	—	52	1	no	—
1262	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1263	C₂²×C₄	—	2	2	no	—
1264	C₂²×C₄	—	4	1	no	—
1265	C₂²×C₄	—	4	1	no	—
1266	C₂²×C₄	—	4	1	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	1	no	—
1269	C₂²×C₄	—	13	1	no	—
1270	C₂²×C₄	—	13	1	no	—
1271	C₂²×C₄	—	13	1	no	—
1272	C₂²×C₄	—	13	1	no	—
1273	C₂²×C₄	—	13	1	no	—
1274	C₂²×C₄	—	13	1	no	—
1275	C₂²×C₄	—	13	1	no	—
1276	C₂²×C₄	—	13	1	no	—
1277	C₂²×C₄	—	13	1	no	—
1278	C₂²×C₄	—	13	1	no	—
1279	C₂²×C₄	—	13	1	no	—
1280	C₂²×C₄	—	13	1	no	—
1281	C₂²×C₄	—	26	2	no	—
1282	C₂²×C₄	—	26	2	no	—
1283	C₂²×C₄	—	26	2	no	—
1284	C₂²×C₄	—	26	2	no	—
1285	C₂²×C₄	—	26	2	no	—
1286	C₂²×C₄	—	52	1	no	—
1287	C₂²×C₄	—	52	1	no	—
1288	C₂²×C₄	—	52	1	no	—
1289	C₂²×C₄	—	52	1	no	—
1290	C₂²×C₄	—	52	1	no	—
1291	C₂²×C₄	—	52	1	no	—
1292	C₂²×C₄	—	52	1	no	—
1293	C₂²×C₄	—	52	1	no	—
1294	C₂²×C₄	—	52	1	no	—
1295	C₂²×C₄	—	52	1	no	—
1296	C₂²×C₄	—	52	1	no	—
1297	C₂²×C₄	—	52	1	no	—
1298	C₂²×C₄	—	52	1	no	—
1299	C₂²×C₄	—	52	1	no	—
1300	C₂²×C₄	—	52	1	no	—
1301	C₂²×C₄	—	52	1	no	—
1302	C₂²×C₄	—	52	1	no	—
1303	C₂²×C₄	—	52	1	no	—
1304	C₂²×C₄	—	52	1	no	—
1305	C₂²×C₄	—	52	1	no	—
1306	C₂²×C₄	—	52	1	no	—
1307	C₂²×C₄	—	52	1	no	—
1308	C₂²×C₄	—	52	1	no	—
1309	C₂²×C₄	—	52	1	no	—
1310	C₂²×C₄	—	52	1	no	—
1311	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1313	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1314	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1315	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1316	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1324	C₄⋊C₄	—	2	2	no	—
1325	C₄⋊C₄	—	2	2	no	—
1326	C₄⋊C₄	—	2	2	no	—
1327	C₄⋊C₄	—	4	1	no	—
1328	C₄⋊C₄	—	4	1	no	—
1329	C₄⋊C₄	—	4	1	no	—
1330	C₄⋊C₄	—	26	2	no	—
1331	C₄⋊C₄	—	26	2	no	—
1332	C₄⋊C₄	—	26	2	no	—
1333	C₄⋊C₄	—	52	1	no	—
1334	C₄⋊C₄	—	52	1	no	—
1335	C₄⋊C₄	—	52	1	no	—
1336	C₄⋊C₄	—	52	1	no	—
1337	C₄⋊C₄	—	52	1	no	—
1338	C₄⋊C₄	—	52	1	no	—
1339	C₄⋊C₄	—	52	1	no	—
1340	C₄⋊C₄	—	52	1	no	—
1341	C₄⋊C₄	—	52	1	no	—
1342	C₂²⋊C₄	—	2	2	no	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	13	4	no	—
1349	C₂²⋊C₄	—	13	4	no	—
1350	C₂²⋊C₄	—	13	4	no	—
1351	C₂²⋊C₄	—	13	4	no	—
1352	C₂²⋊C₄	—	13	4	no	—
1353	C₂²⋊C₄	—	13	4	no	—
1354	C₂²⋊C₄	—	13	4	no	—
1355	C₂²⋊C₄	—	13	4	no	—
1356	C₂²⋊C₄	—	13	4	no	—
1357	C₂²⋊C₄	—	13	4	no	—
1358	C₂²⋊C₄	—	13	4	no	—
1359	C₂²⋊C₄	—	13	4	no	—
1360	C₂²⋊C₄	—	13	4	no	—
1361	C₂²⋊C₄	—	13	4	no	—
1362	C₂²⋊C₄	—	26	2	no	—
1363	C₂²⋊C₄	—	26	2	no	—
1364	C₂²⋊C₄	—	26	2	no	—
1365	C₂²⋊C₄	—	26	2	no	—
1366	C₂²⋊C₄	—	26	2	no	—
1367	C₂²⋊C₄	—	26	2	no	—
1368	C₂²⋊C₄	—	26	2	no	—
1369	C₂²⋊C₄	—	26	2	no	—
1370	C₂²⋊C₄	—	26	2	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	1	no	—
1386	C₂²⋊C₄	—	52	1	no	—
1387	C₂²⋊C₄	—	52	1	no	—
1388	C₂²⋊C₄	—	52	1	no	—
1389	C₂²⋊C₄	—	52	1	no	—
1390	C₂²⋊C₄	—	52	1	no	—
1391	C₂²⋊C₄	—	52	1	no	—
1392	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1393	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1394	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1395	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1396	C₄²	—	2	2	no	—
1397	C₄²	—	4	1	no	—
1398	C₄²	—	4	1	no	—
1399	C₄²	—	4	1	no	—
1400	C₄²	—	4	1	no	—
1401	C₄²	—	4	1	no	—
1402	C₄²	—	13	4	no	—
1403	C₄²	—	13	4	no	—
1404	C₄²	—	26	2	no	—
1405	C₄²	—	26	2	no	—
1406	C₄²	—	52	1	no	—
1407	C₄²	—	52	1	no	—
1408	C₄²	—	52	1	no	—
1409	C₄²	—	52	1	no	—
1410	C₄²	—	52	1	no	—
1411	C₄²	—	52	1	no	—
1412	C₄²	—	52	1	no	—
1413	C₄²	—	52	1	no	—
1414	C₄²	—	52	1	no	—
1415	C₄²	—	52	1	no	—
1416	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1417	C₁₃	#34529	1	1	yes	characteristic, complemented, Sylow
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	13	2	no	—
1431	C₂³	—	13	2	no	—
1432	C₂³	—	13	2	no	—
1433	C₂³	—	13	2	no	—
1434	C₂³	—	26	1	no	—
1435	C₂³	—	26	1	no	—
1436	C₂³	—	26	1	no	—
1437	C₂³	—	26	1	no	—
1438	C₂³	—	26	1	no	—
1439	C₂³	—	26	1	no	—
1440	C₂³	—	26	1	no	—
1441	C₂³	—	26	1	no	—
1442	C₂³	—	26	1	no	—
1443	C₂³	—	26	1	no	—
1444	C₂³	—	26	1	no	—
1445	C₂³	—	26	1	no	—
1446	C₂³	—	26	1	no	—
1447	C₂³	—	26	1	no	—
1448	C₂³	—	26	1	no	—
1449	C₂³	—	26	1	no	—
1450	C₂³	—	26	1	no	—
1451	C₂³	—	26	1	no	—
1452	C₂³	—	26	1	no	—
1453	C₂³	—	26	1	no	—
1454	C₂³	—	26	1	no	—
1455	C₂³	—	26	1	no	—
1456	C₂³	—	26	1	no	—
1457	C₂³	—	26	1	no	—
1458	C₂³	—	52	4	no	—
1459	C₂³	—	52	4	no	—
1460	C₂³	—	52	4	no	—
1461	C₂³	—	52	4	no	—
1462	C₂³	—	52	4	no	—
1463	C₂³	—	52	4	no	—
1464	C₂³	—	104	2	no	—
1465	C₂³	—	104	2	no	—
1466	C₂³	—	104	2	no	—
1467	C₂³	—	104	2	no	—
1468	C₂³	—	104	2	no	—
1469	C₂³	—	104	2	no	—
1470	C₂³	—	104	2	no	—
1471	C₂³	—	104	2	no	—
1472	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1473	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1474	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1475	Q₈	—	4	4	no	—
1476	Q₈	—	52	4	no	—
1477	Q₈	—	52	4	no	—
1478	D₄	—	4	4	no	—
1479	D₄	—	52	4	no	—
1480	D₄	—	52	4	no	—
1481	D₄	—	52	4	no	—
1482	D₄	—	52	4	no	—
1483	D₄	—	52	4	no	—
1484	D₄	—	52	4	no	—
1485	D₄	—	52	4	no	—
1486	D₄	—	52	4	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	8	2	no	—
1520	C₂×C₄	—	8	2	no	—
1521	C₂×C₄	—	13	2	no	—
1522	C₂×C₄	—	13	2	no	—
1523	C₂×C₄	—	13	2	no	—
1524	C₂×C₄	—	13	2	no	—
1525	C₂×C₄	—	13	2	no	—
1526	C₂×C₄	—	26	1	no	—
1527	C₂×C₄	—	26	1	no	—
1528	C₂×C₄	—	26	1	no	—
1529	C₂×C₄	—	26	1	no	—
1530	C₂×C₄	—	26	1	no	—
1531	C₂×C₄	—	26	1	no	—
1532	C₂×C₄	—	26	1	no	—
1533	C₂×C₄	—	26	1	no	—
1534	C₂×C₄	—	26	1	no	—
1535	C₂×C₄	—	26	1	no	—
1536	C₂×C₄	—	26	1	no	—
1537	C₂×C₄	—	26	1	no	—
1538	C₂×C₄	—	26	1	no	—
1539	C₂×C₄	—	26	1	no	—
1540	C₂×C₄	—	26	1	no	—
1541	C₂×C₄	—	26	1	no	—
1542	C₂×C₄	—	26	1	no	—
1543	C₂×C₄	—	26	1	no	—
1544	C₂×C₄	—	26	1	no	—
1545	C₂×C₄	—	26	1	no	—
1546	C₂×C₄	—	26	1	no	—
1547	C₂×C₄	—	26	1	no	—
1548	C₂×C₄	—	26	1	no	—
1549	C₂×C₄	—	26	1	no	—
1550	C₂×C₄	—	26	1	no	—
1551	C₂×C₄	—	26	1	no	—
1552	C₂×C₄	—	26	1	no	—
1553	C₂×C₄	—	26	1	no	—
1554	C₂×C₄	—	26	1	no	—
1555	C₂×C₄	—	26	1	no	—
1556	C₂×C₄	—	26	1	no	—
1557	C₂×C₄	—	104	2	no	—
1558	C₂×C₄	—	104	2	no	—
1559	C₂×C₄	—	104	2	no	—
1560	C₂×C₄	—	104	2	no	—
1561	C₂×C₄	—	104	2	no	—
1562	C₂×C₄	—	104	2	no	—
1563	C₂×C₄	—	104	2	no	—
1564	C₂×C₄	—	104	2	no	—
1565	C₂×C₄	—	104	2	no	—
1566	C₂×C₄	—	104	2	no	—
1567	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1568	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1569	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1570	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1571	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1572	C₂×C₄	#88251	1	2	yes	—
1573	C₂×C₄	#88256	1	2	yes	—
1574	C₂²	—	2	2	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	2	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	2	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	26	2	no	—
1589	C₂²	—	26	2	no	—
1590	C₂²	—	26	2	no	—
1591	C₂²	—	26	2	no	—
1592	C₂²	—	26	2	no	—
1593	C₂²	—	26	2	no	—
1594	C₂²	—	26	2	no	—
1595	C₂²	—	26	2	no	—
1596	C₂²	—	26	2	no	—
1597	C₂²	—	26	2	no	—
1598	C₂²	—	26	2	no	—
1599	C₂²	—	26	2	no	—
1600	C₂²	—	52	1	no	—
1601	C₂²	—	52	1	no	—
1602	C₂²	—	52	1	no	—
1603	C₂²	—	52	1	no	—
1604	C₂²	—	52	1	no	—
1605	C₂²	—	52	1	no	—
1606	C₂²	—	52	1	no	—
1607	C₂²	—	52	1	no	—
1608	C₂²	—	52	1	no	—
1609	C₂²	—	52	1	no	—
1610	C₂²	—	52	1	no	—
1611	C₂²	—	52	1	no	—
1612	C₂²	—	52	1	no	—
1613	C₂²	—	52	1	no	—
1614	C₂²	—	52	1	no	—
1615	C₂²	—	52	1	no	—
1616	C₂²	—	104	8	no	—
1617	C₂²	—	104	8	no	—
1618	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1619	C₂²	C₂×#88251	1	1	yes	characteristic
1620	C₂²	C₂×#88256	1	1	yes	characteristic
1621	C₂²	#11719648	1	1	yes	characteristic
1622	C₂²	#11719648	1	1	yes	characteristic
1623	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1624	C₂²	#11719652	1	1	yes	characteristic
1625	C₄	—	2	2	no	—
1626	C₄	—	2	2	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	26	2	no	—
1639	C₄	—	26	2	no	—
1640	C₄	—	26	2	no	—
1641	C₄	—	26	2	no	—
1642	C₄	—	26	2	no	—
1643	C₄	—	52	1	no	—
1644	C₄	—	52	1	no	—
1645	C₄	—	52	1	no	—
1646	C₄	—	52	1	no	—
1647	C₄	—	52	1	no	—
1648	C₄	—	52	1	no	—
1649	C₄	—	52	1	no	—
1650	C₂	—	4	2	no	—
1651	C₂	—	4	2	no	—
1652	C₂	—	52	2	no	—
1653	C₂	—	52	2	no	—
1654	C₂	—	52	2	no	—
1655	C₂	—	52	2	no	—
1656	C₂	C₄×#88251	1	1	yes	characteristic
1657	C₂	#13128042	1	1	yes	characteristic
1658	C₂	C₄×#88256	1	1	yes	characteristic
1659	C₂	#13129346	1	1	yes	characteristic
1660	C₂	#13129353	1	1	yes	characteristic
1661	C₂	#13129356	1	1	yes	characteristic
1662	C₂	#13129531	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2367	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#11719388	C₂
hypercenter	#2367	D₁₃
hypocenter	C₁₃	#34529
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2367

Complements

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

N	H ≅ G/N	type
2. #13118009	C₂	semidirect
3. #13118008	C₂	semidirect
4. #13118005	C₂	semidirect
5. #13117910	C₂	semidirect
6. #13117907	C₂	semidirect
7. #13117905	C₂	semidirect
8. #13117903	C₂	semidirect
9. #13117902	C₂	semidirect
10. #13117818	C₂	semidirect
11. #13117818	C₂	semidirect
12. #13117817	C₂	semidirect
13. #13117814	C₂	semidirect
14. #13117813	C₂	semidirect
15. #13117812	C₂	semidirect
16. #13117651	C₂	semidirect
17. #13117650	C₂	semidirect
18. #13117649	C₂	semidirect
19. #13117649	C₂	semidirect
20. #13117648	C₂	semidirect
21. #13117644	C₂	semidirect
22. #13117498	C₂	semidirect
23. #13117495	C₂	semidirect
24. #13117493	C₂	semidirect
25. #13117490	C₂	semidirect
26. #13117489	C₂	semidirect
27. #13117489	C₂	semidirect
28. C₄×#88201	C₂	semidirect
29. #13117377	C₂	semidirect
30. C₄×#88139	C₂	semidirect
31. C₁₃×#2367	C₂	semidirect
33. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
40. C₂²×#6103	C₂²	semidirect
41. C₂²×#6103	C₂²	semidirect
42. #11719388	C₄	semidirect
45. C₂×#88141	C₂²	semidirect
57. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
58. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
59. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
60. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
65. C₂×C₄×Dic₂₆	C₂²	semidirect
66. C₁₃×#391	C₂²	semidirect
68. C₁₃×#388	C₂²	semidirect
69. C₁₃×#388	C₂²	semidirect
70. C₁₃×#388	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#385	C₂²	semidirect
73. C₁₃×#385	C₂²	semidirect
74. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
75. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
76. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
77. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
78. #11718891	C₂²	semidirect
79. #11718891	C₂²	semidirect
85. #11718871	C₂²	semidirect
86. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
87. #11718651	C₂²	semidirect
88. #11718651	C₂²	semidirect
89. #11718651	C₂²	semidirect
90. #11718651	C₂²	semidirect
91. #11718651	C₂²	semidirect
92. #11718651	C₂²	semidirect
93. #11718651	C₂²	semidirect
94. #11718651	C₂²	semidirect
95. #11718651	C₂²	semidirect
96. #11718650	C₂²	semidirect
97. #11718650	C₂²	semidirect
98. #11718650	C₂²	semidirect
99. #11718650	C₂²	semidirect
100. #11718650	C₂²	semidirect
101. #11718650	C₂²	semidirect
102. #11718650	C₂²	semidirect
105. #11718638	C₂²	semidirect
106. C₄⋊C₄×Dic₁₃	C₂²	semidirect
107. #11718635	C₂²	semidirect
117. #11718616	C₂²	semidirect
118. #11718616	C₂²	semidirect
119. #11718612	C₂²	semidirect
120. #11718612	C₂²	semidirect
121. #11718612	C₂²	semidirect
122. #11718612	C₂²	semidirect
123. #11718611	C₂²	semidirect
124. #11718611	C₂²	semidirect
125. #11718607	C₂²	semidirect
126. #11718606	C₂²	semidirect
127. #11718606	C₂²	semidirect
128. #11718605	C₂²	semidirect
129. #11718605	C₂²	semidirect
130. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
131. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
132. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
133. #11718601	C₂²	semidirect
134. #11718601	C₂²	semidirect
135. #11718601	C₂²	semidirect
136. #11718601	C₂²	semidirect
137. #11718601	C₂²	semidirect
138. #11718601	C₂²	semidirect
139. #11718601	C₂²	semidirect
142. C₄×#6103	C₂²	semidirect
143. C₄×#6103	C₂²	semidirect
144. C₄×#6103	C₂²	semidirect
145. C₄×#6103	C₂²	semidirect
146. C₄×#6103	C₂²	semidirect
147. C₄×#6103	C₂²	semidirect
148. C₄×#6103	C₂²	semidirect
149. C₄×#6103	C₂²	semidirect
150. C₄×#6103	C₂²	semidirect
151. #11718598	C₂²	semidirect
152. C₄×C₄⋊Dic₁₃	C₂²	semidirect
153. C₄×#6101	C₂²	semidirect
154. C₄²×Dic₁₃	C₂²	semidirect
155. #11718590	C₂²	semidirect
156. #11718331	C₂²	semidirect
157. #11718331	C₂²	semidirect
158. #11718331	C₂²	semidirect
159. #11718330	C₂²	semidirect
160. #11718330	C₂²	semidirect
161. #11718330	C₂²	semidirect
162. #11718330	C₂²	semidirect
163. #11718330	C₂²	semidirect
164. #11718329	C₂²	semidirect
165. #11718329	C₂²	semidirect
166. #11718329	C₂²	semidirect
167. #11718329	C₂²	semidirect
168. #11718329	C₂²	semidirect
169. #11718327	C₂²	semidirect
170. #11718327	C₂²	semidirect
171. #11718327	C₂²	semidirect
180. #11718312	C₂²	semidirect
181. #11718311	C₂²	semidirect
182. #11718311	C₂²	semidirect
183. #11718310	C₂²	semidirect
184. #11718307	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
187. #11718307	C₂²	semidirect
214. C₁₃×#124	C₂×C₄	semidirect
248. #88201	C₂×C₄	semidirect
249. #88201	C₂×C₄	semidirect
250. #88191	C₂×C₄	semidirect
251. #88191	C₂×C₄	semidirect
320. #88139	C₂×C₄	semidirect
321. #88139	C₂×C₄	semidirect
322. #88139	C₂×C₄	semidirect
323. #88139	C₂×C₄	semidirect
324. #88136	C₂×C₄	semidirect
325. #88136	C₂×C₄	semidirect
326. #88136	C₂×C₄	semidirect
327. #88136	C₂×C₄	semidirect
335. #88129	C₂×C₄	semidirect
336. #88129	C₂×C₄	semidirect
596. #2367	D₁₃	semidirect
792. C₂×C₄×Q₈	C₂×D₁₃	semidirect
816. #391	C₂×D₁₃	semidirect
858. #388	C₂×D₁₃	semidirect
859. #388	C₂×D₁₃	semidirect
860. #388	C₂×D₁₃	semidirect
861. #388	C₂×D₁₃	semidirect
896. #385	C₂×D₁₃	semidirect
897. #385	C₂×D₁₃	semidirect
909. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
910. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
927. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
928. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
1040. #124	C₄×D₁₃	semidirect
1417. C₁₃	#34529	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719388	2
#13118009	2
#13118008	2
#13118005	2
#13117910	2
#13117907	2
#13117905	2
#13117903	2
#13117902	2
#13117818	2
#13117817	2
#13117814	2
#13117813	2
#13117812	2
#13117651	2
#13117650	2
#13117649	2
#13117648	2
#13117644	2
#13117498	2
#13117495	2
#13117493	2
#13117490	2
#13117489	2
C₄×#88201	2
#13117377	2
C₄×#88139	2
C₁₃×#2367	2
#34529	13