Subgroups — #16023833

Order 3328.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#126	C₂	1	1	yes	maximal, characteristic
2	#13117963	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117963	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117959	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117959	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117955	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117955	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117951	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117951	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117712	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117710	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117704	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117702	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117684	C₂	1	1	yes	maximal, characteristic
15	#13117683	C₂	1	1	yes	maximal, characteristic
16	#13117683	C₂	1	1	yes	maximal, characteristic
17	#13117680	C₂	1	1	yes	maximal, characteristic
18	#13117615	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117611	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117607	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117435	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117430	C₂	1	1	yes	maximal, characteristic
23	#13117390	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117386	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88133	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117229	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117190	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117188	C₂	1	1	yes	maximal, characteristic
30	C₄×#88146	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
33	C₂²×#6103	C₂²	1	1	yes	characteristic
34	D₁₃×#126	C₄	1	16	yes	complemented
35	C₂×#88152	C₂²	1	1	yes	characteristic
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88152	C₂²	1	1	yes	characteristic
38	C₂×#88146	C₂²	1	1	yes	characteristic
39	C₂×#88146	C₂²	1	1	yes	characteristic
40	C₂×#88146	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×#88133	C₂²	1	1	yes	characteristic
49	C₂×#88133	C₂²	1	1	yes	characteristic
50	C₂×#88133	C₂²	1	1	yes	characteristic
51	C₂×#88130	C₂²	1	1	yes	characteristic
52	C₂×#88126	C₂²	1	1	yes	characteristic
53	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
54	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#388	C₂²	1	1	yes	characteristic
58	C₁₃×#388	C₂²	1	1	yes	characteristic
59	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#385	C₂²	1	1	yes	characteristic
63	C₁₃×#385	C₂²	1	1	yes	characteristic
64	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
71	#11718651	C₂²	1	1	yes	characteristic
72	#11718651	C₂²	1	1	yes	characteristic
73	#11718651	C₂²	1	1	yes	characteristic
74	#11718651	C₂²	1	1	yes	characteristic
75	#11718651	C₂²	1	1	yes	characteristic
76	#11718650	C₂²	1	1	yes	characteristic
77	#11718650	C₂²	1	1	yes	characteristic
78	#11718648	C₂²	1	1	yes	characteristic
79	#11718648	C₂²	1	1	yes	characteristic
80	#11718648	C₂²	1	1	yes	characteristic
81	#11718648	C₂²	1	1	yes	characteristic
82	#11718646	C₂²	1	1	yes	characteristic, complemented
83	#11718646	C₂²	1	1	yes	characteristic, complemented
84	#11718642	C₂²	1	1	yes	characteristic, complemented
85	#11718642	C₂²	1	1	yes	characteristic, complemented
86	#11718642	C₂²	1	1	yes	characteristic, complemented
87	#11718639	C₂²	1	1	yes	characteristic, complemented
88	#11718639	C₂²	1	1	yes	characteristic, complemented
89	#11718639	C₂²	1	1	yes	characteristic, complemented
90	#11718639	C₂²	1	1	yes	characteristic, complemented
91	#11718639	C₂²	1	1	yes	characteristic, complemented
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
94	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
95	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
96	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
97	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
100	#11718633	C₂²	1	1	yes	characteristic, complemented
101	#11718633	C₂²	1	1	yes	characteristic, complemented
102	#11718616	C₂²	1	1	yes	characteristic
103	#11718616	C₂²	1	1	yes	characteristic
104	#11718612	C₂²	1	1	yes	characteristic
105	#11718612	C₂²	1	1	yes	characteristic
106	#11718612	C₂²	1	1	yes	characteristic
107	#11718611	C₂²	1	1	yes	characteristic
108	#11718611	C₂²	1	1	yes	characteristic
109	#11718606	C₂²	1	1	yes	characteristic
110	#11718606	C₂²	1	1	yes	characteristic
111	#11718606	C₂²	1	1	yes	characteristic
112	#11718605	C₂²	1	1	yes	characteristic
113	#11718605	C₂²	1	1	yes	characteristic
114	#11718605	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	#11718601	C₂²	1	1	yes	characteristic
120	C₄×#6103	C₂²	1	1	yes	characteristic
121	C₄×#6103	C₂²	1	1	yes	characteristic
122	C₄×#6103	C₂²	1	1	yes	characteristic
123	C₄×#6103	C₂²	1	1	yes	characteristic
124	C₄×#6103	C₂²	1	1	yes	characteristic
125	C₄×#6103	C₂²	1	1	yes	characteristic
126	C₄×#6103	C₂²	1	1	yes	characteristic
127	C₄×#6103	C₂²	1	1	yes	characteristic
128	#11718597	C₂²	1	1	yes	characteristic, complemented
129	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
131	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
132	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
133	#11718594	C₂²	1	1	yes	characteristic, complemented
134	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
135	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
136	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
137	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
138	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
139	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
140	#11718331	C₂²	1	1	yes	characteristic
141	#11718331	C₂²	1	1	yes	characteristic
142	#11718331	C₂²	1	1	yes	characteristic
143	#11718331	C₂²	1	1	yes	characteristic
144	#11718331	C₂²	1	1	yes	characteristic
145	#11718330	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718329	C₂²	1	1	yes	characteristic
148	#11718328	C₂²	1	1	yes	characteristic
149	#11718328	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	#11718327	C₂²	1	1	yes	characteristic
152	#11718327	C₂²	1	1	yes	characteristic
153	#11718327	C₂²	1	1	yes	characteristic
154	#11718327	C₂²	1	1	yes	characteristic
155	#11718327	C₂²	1	1	yes	characteristic
156	#11718327	C₂²	1	1	yes	characteristic
157	#11718327	C₂²	1	1	yes	characteristic
158	#11718327	C₂²	1	1	yes	characteristic
159	#11718327	C₂²	1	1	yes	characteristic
160	#11718325	C₂²	1	1	yes	characteristic
161	#11718325	C₂²	1	1	yes	characteristic
162	#11718325	C₂²	1	1	yes	characteristic
163	#11718325	C₂²	1	1	yes	characteristic
164	#11718316	C₂²	1	1	yes	characteristic, complemented
165	#11718316	C₂²	1	1	yes	characteristic, complemented
166	#11718316	C₂²	1	1	yes	characteristic, complemented
167	#11718316	C₂²	1	1	yes	characteristic, complemented
168	#11718316	C₂²	1	1	yes	characteristic, complemented
169	#11718315	C₂²	1	1	yes	characteristic, complemented
170	#11718315	C₂²	1	1	yes	characteristic, complemented
171	#11718315	C₂²	1	1	yes	characteristic, complemented
172	#11718314	C₂²	1	1	yes	characteristic, complemented
173	#11718314	C₂²	1	1	yes	characteristic, complemented
174	#11718314	C₂²	1	1	yes	characteristic, complemented
175	#11718313	C₂²	1	1	yes	characteristic, complemented
176	#11718312	C₂²	1	1	yes	characteristic, complemented
177	#11718312	C₂²	1	1	yes	characteristic, complemented
178	#11718310	C₂²	1	1	yes	characteristic, complemented
179	#11718310	C₂²	1	1	yes	characteristic, complemented
180	#11718310	C₂²	1	1	yes	characteristic, complemented
181	#11718310	C₂²	1	1	yes	characteristic, complemented
182	#11718309	C₂²	1	1	yes	characteristic, complemented
183	#11718309	C₂²	1	1	yes	characteristic, complemented
184	#11718309	C₂²	1	1	yes	characteristic, complemented
185	#11718309	C₂²	1	1	yes	characteristic, complemented
186	#11718308	C₂²	1	1	yes	characteristic, complemented
187	#11718308	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₁₃×#126	C₂×C₄	1	8	yes	complemented
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6103	—	2	4	no	—
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂³	1	1	yes	characteristic
233	C₂×#6103	C₂³	1	1	yes	characteristic
234	C₂×#6103	C₂³	1	1	yes	characteristic
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	1	yes	characteristic
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	#88152	C₂×C₄	1	8	yes	complemented
298	#88152	C₂×C₄	1	8	yes	complemented
299	#88152	C₂×C₄	1	8	yes	complemented
300	#88146	—	2	4	no	—
301	#88146	—	2	4	no	—
302	#88146	—	2	4	no	—
303	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
304	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
305	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
306	C₂²⋊C₄×D₁₃	—	2	4	no	—
307	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
308	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
309	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
310	#88133	C₂×C₄	1	8	yes	complemented
311	#88133	C₂×C₄	1	8	yes	complemented
312	#88133	C₂×C₄	1	8	yes	complemented
313	#88130	C₂×C₄	1	8	yes	complemented
314	#88126	—	2	4	no	—
315	C₄²×D₁₃	C₂×C₄	1	8	yes	complemented
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#34247	—	13	1	no	maximal, Sylow
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₁₃	—	2	2	no	—
367	C₂³×D₁₃	—	2	2	no	—
368	C₂³×D₁₃	—	4	1	no	—
369	C₂³×D₁₃	—	4	1	no	—
370	C₂³×D₁₃	—	4	1	no	—
371	C₂³×D₁₃	—	4	1	no	—
372	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
373	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	4	1	no	—
377	C₂²×C₄×C₁₃	—	4	1	no	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	—	2	2	no	—
393	C₂²×Dic₁₃	—	4	1	no	—
394	C₂²×Dic₁₃	—	4	1	no	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₄×D₁₃	—	2	2	no	—
410	C₂×C₄×D₁₃	—	2	2	no	—
411	C₂×C₄×D₁₃	—	2	2	no	—
412	C₂×C₄×D₁₃	—	2	2	no	—
413	C₂×C₄×D₁₃	—	2	2	no	—
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	4	1	no	—
416	C₂×C₄×D₁₃	—	4	1	no	—
417	C₂×C₄×D₁₃	—	4	1	no	—
418	C₂×C₄×D₁₃	—	4	1	no	—
419	C₂×C₄×D₁₃	—	4	1	no	—
420	C₂×C₄×D₁₃	—	4	1	no	—
421	C₂×C₄×D₁₃	—	4	1	no	—
422	C₂×C₄×D₁₃	—	4	1	no	—
423	C₂×C₄×D₁₃	—	4	1	no	—
424	C₂×C₄×D₁₃	—	4	1	no	—
425	C₂×C₄×D₁₃	—	4	1	no	—
426	C₂×C₄×D₁₃	—	4	1	no	—
427	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
428	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
429	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
430	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
431	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
432	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	4	1	no	—
437	C₁₃×C₄⋊C₄	—	4	1	no	—
438	C₁₃×C₄⋊C₄	—	4	1	no	—
439	C₁₃×C₄⋊C₄	—	4	1	no	—
440	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
441	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
442	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	4	1	no	—
445	C₁₃×C₂²⋊C₄	—	4	1	no	—
446	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
447	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
448	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	4	1	no	—
451	C₄²×C₁₃	—	4	1	no	—
452	C₄²×C₁₃	—	4	1	no	—
453	C₄²×C₁₃	—	4	1	no	—
454	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
455	C₂²⋊Dic₁₃	—	2	2	no	—
456	C₂²⋊Dic₁₃	—	4	1	no	—
457	C₂²⋊Dic₁₃	—	4	1	no	—
458	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
459	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
460	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
461	#6103	—	2	2	no	—
462	#6103	—	2	2	no	—
463	#6103	—	2	2	no	—
464	#6103	—	2	2	no	—
465	#6103	—	2	2	no	—
466	#6103	—	2	2	no	—
467	#6103	—	2	2	no	—
468	#6103	—	2	2	no	—
469	#6103	—	4	1	no	—
470	#6103	—	4	1	no	—
471	#6103	—	4	1	no	—
472	#6103	—	4	1	no	—
473	#6103	C₂²×C₄	1	4	yes	—
474	#6103	C₂²×C₄	1	4	yes	—
475	#6103	C₂²×C₄	1	4	yes	—
476	#6103	C₂²×C₄	1	4	yes	—
477	#6103	C₂²×C₄	1	4	yes	—
478	#6103	C₂²×C₄	1	4	yes	—
479	#6103	#41	1	4	yes	—
480	#6103	#41	1	4	yes	—
481	C₄⋊Dic₁₃	—	2	2	no	—
482	C₄⋊Dic₁₃	—	2	2	no	—
483	C₄⋊Dic₁₃	—	2	2	no	—
484	C₄⋊Dic₁₃	—	4	1	no	—
485	C₄⋊Dic₁₃	—	4	1	no	—
486	C₄⋊Dic₁₃	—	4	1	no	—
487	C₄⋊Dic₁₃	—	4	1	no	—
488	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
489	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
490	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
491	#6101	—	2	2	no	—
492	#6101	—	2	2	no	—
493	#6101	—	4	1	no	—
494	#6101	—	4	1	no	—
495	#6101	—	4	1	no	—
496	#6101	—	4	1	no	—
497	#6101	C₂²×C₄	1	4	yes	—
498	#6101	C₂²×C₄	1	4	yes	—
499	#6101	C₂²×C₄	1	4	yes	—
500	#6101	C₂²×C₄	1	4	yes	—
501	#6101	C₂²×C₄	1	4	yes	—
502	#6101	C₂²×C₄	1	4	yes	—
503	C₄×Dic₁₃	—	2	2	no	—
504	C₄×Dic₁₃	—	2	2	no	—
505	C₄×Dic₁₃	—	2	2	no	—
506	C₄×Dic₁₃	—	2	2	no	—
507	C₄×Dic₁₃	—	2	2	no	—
508	C₄×Dic₁₃	—	2	2	no	—
509	C₄×Dic₁₃	—	2	2	no	—
510	C₄×Dic₁₃	—	4	1	no	—
511	C₄×Dic₁₃	—	4	1	no	—
512	C₄×Dic₁₃	—	4	1	no	—
513	C₄×Dic₁₃	—	4	1	no	—
514	C₄×Dic₁₃	—	4	1	no	—
515	C₄×Dic₁₃	—	4	1	no	—
516	C₄×Dic₁₃	—	4	1	no	—
517	C₄×Dic₁₃	—	4	1	no	—
518	C₄×Dic₁₃	—	4	1	no	—
519	C₄×Dic₁₃	—	4	1	no	—
520	C₄×Dic₁₃	—	4	1	no	—
521	C₄×Dic₁₃	—	4	1	no	—
522	C₄×Dic₁₃	—	4	1	no	—
523	C₄×Dic₁₃	—	4	1	no	—
524	C₄×Dic₁₃	—	4	1	no	—
525	C₄×Dic₁₃	—	4	1	no	—
526	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
527	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
528	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
529	C₂²×#126	—	13	1	no	—
530	#2373	—	13	1	no	—
531	#2373	—	13	1	no	—
532	#2373	—	13	1	no	—
533	#2373	—	13	1	no	—
534	#2373	—	13	1	no	—
535	#2373	—	13	1	no	—
536	#2373	—	13	1	no	—
537	#2373	—	13	1	no	—
538	#2345	—	13	1	no	—
539	#2345	—	13	1	no	—
540	#2344	—	13	1	no	—
541	#2344	—	13	1	no	—
542	#2342	—	13	1	no	—
543	#2342	—	13	1	no	—
544	#2342	—	13	1	no	—
545	#2342	—	13	1	no	—
546	#2334	—	13	1	no	—
547	#2334	—	13	1	no	—
548	#2334	—	13	1	no	—
549	#2334	D₁₃	1	1	yes	characteristic, complemented
550	#2313	—	13	1	no	—
551	#2312	—	13	1	no	—
552	C₄×#126	—	13	1	no	—
553	C₄×#126	—	13	1	no	—
554	C₄×#126	—	13	1	no	—
555	C₄×#126	—	13	1	no	—
556	#2283	—	13	1	no	—
557	#2274	—	13	1	no	—
558	#2273	—	13	1	no	—
559	C₄×#117	—	13	1	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
567	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₂²×D₁₃	—	2	1	no	—
569	C₂²×D₁₃	—	2	1	no	—
570	C₂²×D₁₃	—	2	1	no	—
571	C₂²×D₁₃	—	2	1	no	—
572	C₂²×D₁₃	—	2	1	no	—
573	C₂²×D₁₃	—	2	1	no	—
574	C₂²×D₁₃	—	2	1	no	—
575	C₂²×D₁₃	—	2	1	no	—
576	C₂²×D₁₃	—	2	1	no	—
577	C₂²×D₁₃	—	2	1	no	—
578	C₂²×D₁₃	—	2	8	no	—
579	C₂²×D₁₃	—	4	4	no	—
580	C₂²×D₁₃	—	4	4	no	—
581	C₂²×D₁₃	—	8	2	no	—
582	C₂²×D₁₃	—	8	2	no	—
583	C₂²×D₁₃	—	8	2	no	—
584	C₂²×D₁₃	—	8	2	no	—
585	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
586	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
587	C₂²×D₁₃	C₂×#41	1	2	yes	—
588	C₂²×D₁₃	C₂×#41	1	2	yes	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	8	2	no	—
624	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
625	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
626	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
627	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
628	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
629	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
630	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
631	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	1	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	8	2	no	—
667	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
668	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
669	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
670	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
671	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
672	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
673	C₂×Dic₁₃	C₂×#41	1	2	yes	—
674	C₂×Dic₁₃	C₂×#41	1	2	yes	—
675	C₄×D₁₃	—	2	8	no	—
676	C₄×D₁₃	—	2	8	no	—
677	C₄×D₁₃	—	4	4	no	—
678	C₄×D₁₃	—	4	4	no	—
679	C₄×D₁₃	—	4	4	no	—
680	C₄×D₁₃	—	4	4	no	—
681	C₄×D₁₃	—	8	2	no	—
682	C₄×D₁₃	—	8	2	no	—
683	C₂×#126	—	13	16	no	—
684	C₂×#126	—	13	1	no	—
685	C₂×#126	—	13	1	no	—
686	C₂×#126	—	13	1	no	—
687	C₂×#126	—	13	1	no	—
688	C₂×#126	—	13	1	no	—
689	C₂×#126	—	13	1	no	—
690	C₂×#126	—	13	1	no	—
691	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
692	C₂×#117	—	13	1	no	—
693	C₂×#117	—	13	1	no	—
694	C₂×#117	—	13	1	no	—
695	C₂×#117	—	13	1	no	—
696	C₂²×C₄⋊C₄	—	13	1	no	—
697	C₂²×C₄⋊C₄	—	13	1	no	—
698	C₂²×C₄⋊C₄	—	13	1	no	—
699	C₂²×C₂²⋊C₄	—	13	1	no	—
700	C₂²×C₂²⋊C₄	—	13	1	no	—
701	C₂²×C₂²⋊C₄	—	13	1	no	—
702	C₂²×C₂²⋊C₄	—	13	1	no	—
703	C₂²×C₂²⋊C₄	—	13	1	no	—
704	C₂²×C₄²	—	13	1	no	—
705	#389	—	13	1	no	—
706	#389	—	13	1	no	—
707	#389	—	13	1	no	—
708	#389	—	13	1	no	—
709	#389	—	13	1	no	—
710	#389	—	13	1	no	—
711	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
712	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
713	#388	—	13	1	no	—
714	#388	—	13	1	no	—
715	#388	—	13	1	no	—
716	#388	—	13	1	no	—
717	#388	—	13	1	no	—
718	#388	—	13	1	no	—
719	#388	—	13	1	no	—
720	#388	—	13	1	no	—
721	#388	—	13	1	no	—
722	#388	—	13	1	no	—
723	#388	—	13	1	no	—
724	#388	—	13	1	no	—
725	#388	—	13	1	no	—
726	#388	—	13	1	no	—
727	#388	—	13	1	no	—
728	#388	—	13	1	no	—
729	#388	—	13	1	no	—
730	#388	—	13	1	no	—
731	#388	—	13	1	no	—
732	#388	—	13	1	no	—
733	#388	—	13	1	no	—
734	#388	C₂×D₁₃	1	1	yes	characteristic
735	#388	C₂×D₁₃	1	1	yes	characteristic
736	#388	C₂×D₁₃	1	1	yes	characteristic
737	#387	—	13	1	no	—
738	#387	—	13	1	no	—
739	#387	—	13	1	no	—
740	#387	—	13	1	no	—
741	#387	—	13	1	no	—
742	#387	—	13	1	no	—
743	#387	—	13	1	no	—
744	#387	—	13	1	no	—
745	#387	—	13	1	no	—
746	#387	—	13	1	no	—
747	#387	—	13	1	no	—
748	#387	—	13	1	no	—
749	#387	—	13	1	no	—
750	#387	—	13	1	no	—
751	#387	—	13	1	no	—
752	#387	—	13	1	no	—
753	#387	—	13	1	no	—
754	#387	—	13	1	no	—
755	#387	—	13	1	no	—
756	#387	—	13	1	no	—
757	#387	—	13	1	no	—
758	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
759	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
760	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
761	#385	—	13	1	no	—
762	#385	—	13	1	no	—
763	#385	—	13	1	no	—
764	#385	—	13	1	no	—
765	#385	—	13	1	no	—
766	#385	—	13	1	no	—
767	#385	C₂×D₁₃	1	1	yes	characteristic
768	#385	C₂×D₁₃	1	1	yes	characteristic
769	#383	—	13	1	no	—
770	#383	—	13	1	no	—
771	#382	—	13	1	no	—
772	#382	C₂×D₁₃	1	1	yes	characteristic, complemented
773	#381	—	13	1	no	—
774	#381	—	13	1	no	—
775	#381	—	13	1	no	—
776	#381	—	13	1	no	—
777	#380	—	13	1	no	—
778	#380	—	13	1	no	—
779	#380	—	13	1	no	—
780	#380	—	13	1	no	—
781	#380	—	13	1	no	—
782	#380	—	13	1	no	—
783	#379	—	13	1	no	—
784	#379	—	13	1	no	—
785	C₄×C₄⋊C₄	—	13	1	no	—
786	C₄×C₄⋊C₄	—	13	1	no	—
787	C₄×C₄⋊C₄	—	13	1	no	—
788	C₄×C₄⋊C₄	—	13	1	no	—
789	C₄×C₄⋊C₄	—	13	1	no	—
790	C₄×C₄⋊C₄	—	13	1	no	—
791	C₄×C₄⋊C₄	—	13	1	no	—
792	C₄×C₄⋊C₄	—	13	1	no	—
793	C₄×C₄⋊C₄	—	13	1	no	—
794	C₄×C₄⋊C₄	—	13	1	no	—
795	C₄×C₄⋊C₄	—	13	1	no	—
796	C₄×C₄⋊C₄	—	13	1	no	—
797	C₄×C₄⋊C₄	—	13	1	no	—
798	C₄×C₄⋊C₄	—	13	1	no	—
799	C₄×C₄⋊C₄	—	13	1	no	—
800	C₄×C₄⋊C₄	—	13	1	no	—
801	C₄×C₄⋊C₄	—	13	1	no	—
802	C₄×C₄⋊C₄	—	13	1	no	—
803	C₄×C₄⋊C₄	—	13	1	no	—
804	C₄×C₄⋊C₄	—	13	1	no	—
805	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
806	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
807	C₄×C₂²⋊C₄	—	13	1	no	—
808	C₄×C₂²⋊C₄	—	13	1	no	—
809	C₄×C₂²⋊C₄	—	13	1	no	—
810	C₄×C₂²⋊C₄	—	13	1	no	—
811	C₄×C₂²⋊C₄	—	13	1	no	—
812	C₄×C₂²⋊C₄	—	13	1	no	—
813	C₄×C₂²⋊C₄	—	13	1	no	—
814	C₄×C₂²⋊C₄	—	13	1	no	—
815	C₄×C₂²⋊C₄	—	13	1	no	—
816	C₄×C₂²⋊C₄	—	13	1	no	—
817	C₄×C₂²⋊C₄	—	13	1	no	—
818	C₄×C₂²⋊C₄	—	13	1	no	—
819	C₄×C₂²⋊C₄	—	13	1	no	—
820	C₄×C₂²⋊C₄	—	13	1	no	—
821	C₄×C₂²⋊C₄	—	13	1	no	—
822	C₄×C₂²⋊C₄	—	13	1	no	—
823	C₄×C₂²⋊C₄	—	13	1	no	—
824	C₄×C₂²⋊C₄	—	13	1	no	—
825	C₄×C₂²⋊C₄	—	13	1	no	—
826	C₄×C₂²⋊C₄	—	13	1	no	—
827	C₄×C₂²⋊C₄	—	13	1	no	—
828	C₄×C₂²⋊C₄	—	13	1	no	—
829	C₄×C₂²⋊C₄	—	13	1	no	—
830	C₄×C₂²⋊C₄	—	13	1	no	—
831	C₄×C₂²⋊C₄	—	13	1	no	—
832	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
833	#376	—	13	1	no	—
834	#376	—	13	1	no	—
835	#376	—	13	1	no	—
836	#376	—	13	1	no	—
837	C₄³	—	13	1	no	—
838	C₄³	—	13	1	no	—
839	C₂²×C₁₃	—	2	2	no	—
840	C₂²×C₁₃	—	2	2	no	—
841	C₂²×C₁₃	—	2	2	no	—
842	C₂²×C₁₃	—	4	1	no	—
843	C₂²×C₁₃	—	4	1	no	—
844	C₂²×C₁₃	—	4	1	no	—
845	C₂²×C₁₃	—	4	1	no	—
846	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
847	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
848	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
849	C₂²×C₁₃	#585	1	1	yes	characteristic
850	C₂²×C₁₃	#585	1	1	yes	characteristic
851	C₂²×C₁₃	#585	1	1	yes	characteristic
852	C₂²×C₁₃	#585	1	1	yes	characteristic
853	C₂×D₁₃	—	2	2	no	—
854	C₂×D₁₃	—	2	2	no	—
855	C₂×D₁₃	—	2	2	no	—
856	C₂×D₁₃	—	2	2	no	—
857	C₂×D₁₃	—	2	2	no	—
858	C₂×D₁₃	—	2	2	no	—
859	C₂×D₁₃	—	2	2	no	—
860	C₂×D₁₃	—	2	2	no	—
861	C₂×D₁₃	—	2	2	no	—
862	C₂×D₁₃	—	4	1	no	—
863	C₂×D₁₃	—	4	1	no	—
864	C₂×D₁₃	—	4	1	no	—
865	C₂×D₁₃	—	4	1	no	—
866	C₂×D₁₃	—	8	8	no	—
867	C₂×D₁₃	C₄×#41	1	4	yes	—
868	C₄×C₁₃	—	2	2	no	—
869	C₄×C₁₃	—	2	2	no	—
870	C₄×C₁₃	—	2	2	no	—
871	C₄×C₁₃	—	2	2	no	—
872	C₄×C₁₃	—	2	2	no	—
873	C₄×C₁₃	—	2	2	no	—
874	C₄×C₁₃	—	2	2	no	—
875	C₄×C₁₃	—	2	2	no	—
876	C₄×C₁₃	—	4	1	no	—
877	C₄×C₁₃	—	4	1	no	—
878	C₄×C₁₃	—	4	1	no	—
879	C₄×C₁₃	—	4	1	no	—
880	C₄×C₁₃	—	4	1	no	—
881	C₄×C₁₃	—	4	1	no	—
882	Dic₁₃	—	2	2	no	—
883	Dic₁₃	—	2	2	no	—
884	Dic₁₃	—	2	2	no	—
885	Dic₁₃	—	2	2	no	—
886	Dic₁₃	—	2	2	no	—
887	Dic₁₃	—	2	2	no	—
888	Dic₁₃	—	2	2	no	—
889	Dic₁₃	—	2	2	no	—
890	Dic₁₃	—	4	1	no	—
891	Dic₁₃	—	4	1	no	—
892	Dic₁₃	—	4	1	no	—
893	Dic₁₃	—	4	1	no	—
894	Dic₁₃	—	4	1	no	—
895	Dic₁₃	—	4	1	no	—
896	C₂⁵	—	13	1	no	—
897	C₂³×C₄	—	13	1	no	—
898	C₂³×C₄	—	13	1	no	—
899	C₂³×C₄	—	13	1	no	—
900	C₂³×C₄	—	13	1	no	—
901	C₂³×C₄	—	13	1	no	—
902	C₂³×C₄	—	13	1	no	—
903	C₂³×C₄	—	13	1	no	—
904	C₂³×C₄	—	13	1	no	—
905	C₂³×C₄	—	13	1	no	—
906	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
907	#126	—	13	8	no	—
908	#126	—	13	8	no	—
909	#126	—	13	8	no	—
910	#126	—	13	8	no	—
911	#126	—	13	8	no	—
912	#126	—	13	8	no	—
913	#126	—	13	8	no	—
914	#126	C₄×D₁₃	1	8	yes	complemented
915	#117	—	26	4	no	—
916	#117	—	26	4	no	—
917	#117	—	26	4	no	—
918	#117	—	26	4	no	—
919	C₂×C₄⋊C₄	—	13	1	no	—
920	C₂×C₄⋊C₄	—	13	1	no	—
921	C₂×C₄⋊C₄	—	13	1	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	8	no	—
929	C₂×C₄⋊C₄	—	13	8	no	—
930	C₂×C₄⋊C₄	—	13	8	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	13	1	no	—
934	C₂×C₄⋊C₄	—	13	1	no	—
935	C₂×C₄⋊C₄	—	13	1	no	—
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	—	13	1	no	—
955	C₂×C₂²⋊C₄	—	13	1	no	—
956	C₂×C₂²⋊C₄	—	13	1	no	—
957	C₂×C₂²⋊C₄	—	13	1	no	—
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	1	no	—
960	C₂×C₂²⋊C₄	—	13	1	no	—
961	C₂×C₂²⋊C₄	—	13	1	no	—
962	C₂×C₂²⋊C₄	—	13	1	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	8	no	—
966	C₂×C₂²⋊C₄	—	13	8	no	—
967	C₂×C₂²⋊C₄	—	13	8	no	—
968	C₂×C₂²⋊C₄	—	13	1	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	1	no	—
971	C₂×C₂²⋊C₄	—	13	1	no	—
972	C₂×C₂²⋊C₄	—	13	1	no	—
973	C₂×C₂²⋊C₄	—	13	1	no	—
974	C₂×C₂²⋊C₄	—	13	1	no	—
975	C₂×C₂²⋊C₄	—	13	1	no	—
976	C₂×C₂²⋊C₄	—	13	1	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	13	1	no	—
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	26	4	no	—
984	C₂×C₂²⋊C₄	—	26	4	no	—
985	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	8	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	1	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	1	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	13	1	no	—
1011	C₂×C₄²	—	13	1	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	—	13	1	no	—
1015	C₂×C₄²	—	13	1	no	—
1016	C₂×C₄²	—	13	1	no	—
1017	C₂×C₄²	—	13	1	no	—
1018	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	C₂²×D₁₃	1	1	yes	characteristic
1061	#95	C₂²×D₁₃	1	1	yes	characteristic
1062	#95	C₂²×D₁₃	1	1	yes	characteristic
1063	#95	C₂²×D₁₃	1	1	yes	characteristic
1064	#95	C₂²×D₁₃	1	1	yes	characteristic
1065	#95	C₂²×D₁₃	1	1	yes	characteristic
1066	#95	C₂²×D₁₃	1	1	yes	characteristic
1067	#95	C₂²×D₁₃	1	1	yes	characteristic
1068	#95	C₂²×D₁₃	1	1	yes	characteristic
1069	#95	C₂²×D₁₃	1	1	yes	characteristic
1070	#95	C₂²×D₁₃	1	1	yes	characteristic
1071	#95	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂×C₁₃	—	4	2	no	—
1073	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1074	C₂×C₁₃	#3428	1	1	yes	characteristic
1075	C₂×C₁₃	#3428	1	1	yes	characteristic
1076	C₂×C₁₃	#3521	1	1	yes	characteristic
1077	C₂×C₁₃	#3521	1	1	yes	characteristic
1078	C₂×C₁₃	#3521	1	1	yes	characteristic
1079	C₂×C₁₃	#3521	1	1	yes	characteristic
1080	D₁₃	—	2	4	no	—
1081	D₁₃	—	4	2	no	—
1082	C₂⁴	—	13	1	no	—
1083	C₂⁴	—	13	1	no	—
1084	C₂⁴	—	13	4	no	—
1085	C₂⁴	—	26	2	no	—
1086	C₂⁴	—	26	2	no	—
1087	C₂⁴	—	52	1	no	—
1088	C₂⁴	—	52	1	no	—
1089	C₂⁴	—	52	1	no	—
1090	C₂⁴	—	52	1	no	—
1091	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	13	1	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	13	1	no	—
1099	C₂²×C₄	—	13	1	no	—
1100	C₂²×C₄	—	13	1	no	—
1101	C₂²×C₄	—	13	1	no	—
1102	C₂²×C₄	—	13	1	no	—
1103	C₂²×C₄	—	13	4	no	—
1104	C₂²×C₄	—	13	4	no	—
1105	C₂²×C₄	—	13	4	no	—
1106	C₂²×C₄	—	13	4	no	—
1107	C₂²×C₄	—	13	4	no	—
1108	C₂²×C₄	—	13	4	no	—
1109	C₂²×C₄	—	13	1	no	—
1110	C₂²×C₄	—	13	1	no	—
1111	C₂²×C₄	—	13	1	no	—
1112	C₂²×C₄	—	13	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	26	2	no	—
1116	C₂²×C₄	—	26	2	no	—
1117	C₂²×C₄	—	26	2	no	—
1118	C₂²×C₄	—	26	2	no	—
1119	C₂²×C₄	—	26	2	no	—
1120	C₂²×C₄	—	26	2	no	—
1121	C₂²×C₄	—	26	2	no	—
1122	C₂²×C₄	—	52	1	no	—
1123	C₂²×C₄	—	52	1	no	—
1124	C₂²×C₄	—	52	1	no	—
1125	C₂²×C₄	—	52	1	no	—
1126	C₂²×C₄	—	52	1	no	—
1127	C₂²×C₄	—	52	1	no	—
1128	C₂²×C₄	—	52	1	no	—
1129	C₂²×C₄	—	52	1	no	—
1130	C₂²×C₄	—	52	1	no	—
1131	C₂²×C₄	—	52	1	no	—
1132	C₂²×C₄	—	52	1	no	—
1133	C₂²×C₄	—	52	1	no	—
1134	C₂²×C₄	—	52	1	no	—
1135	C₂²×C₄	—	52	1	no	—
1136	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	13	4	no	—
1158	C₄⋊C₄	—	13	4	no	—
1159	C₄⋊C₄	—	13	4	no	—
1160	C₄⋊C₄	—	13	4	no	—
1161	C₄⋊C₄	—	13	4	no	—
1162	C₄⋊C₄	—	13	4	no	—
1163	C₄⋊C₄	—	13	4	no	—
1164	C₄⋊C₄	—	13	4	no	—
1165	C₄⋊C₄	—	13	4	no	—
1166	C₄⋊C₄	—	26	2	no	—
1167	C₄⋊C₄	—	26	2	no	—
1168	C₄⋊C₄	—	26	2	no	—
1169	C₄⋊C₄	—	26	2	no	—
1170	C₄⋊C₄	—	26	2	no	—
1171	C₄⋊C₄	—	52	1	no	—
1172	C₄⋊C₄	—	52	1	no	—
1173	C₄⋊C₄	—	52	1	no	—
1174	C₄⋊C₄	—	52	1	no	—
1175	C₄⋊C₄	—	52	1	no	—
1176	C₄⋊C₄	—	52	1	no	—
1177	C₄⋊C₄	—	52	1	no	—
1178	C₄⋊C₄	—	52	1	no	—
1179	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1180	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1181	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	—	4	1	no	—
1185	C₂²⋊C₄	—	13	4	no	—
1186	C₂²⋊C₄	—	13	4	no	—
1187	C₂²⋊C₄	—	13	4	no	—
1188	C₂²⋊C₄	—	13	4	no	—
1189	C₂²⋊C₄	—	13	4	no	—
1190	C₂²⋊C₄	—	13	4	no	—
1191	C₂²⋊C₄	—	13	4	no	—
1192	C₂²⋊C₄	—	13	4	no	—
1193	C₂²⋊C₄	—	13	4	no	—
1194	C₂²⋊C₄	—	13	4	no	—
1195	C₂²⋊C₄	—	13	4	no	—
1196	C₂²⋊C₄	—	26	2	no	—
1197	C₂²⋊C₄	—	26	2	no	—
1198	C₂²⋊C₄	—	26	2	no	—
1199	C₂²⋊C₄	—	26	2	no	—
1200	C₂²⋊C₄	—	26	2	no	—
1201	C₂²⋊C₄	—	26	2	no	—
1202	C₂²⋊C₄	—	26	2	no	—
1203	C₂²⋊C₄	—	26	2	no	—
1204	C₂²⋊C₄	—	26	2	no	—
1205	C₂²⋊C₄	—	52	1	no	—
1206	C₂²⋊C₄	—	52	1	no	—
1207	C₂²⋊C₄	—	52	1	no	—
1208	C₂²⋊C₄	—	52	1	no	—
1209	C₂²⋊C₄	—	52	1	no	—
1210	C₂²⋊C₄	—	52	1	no	—
1211	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1212	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1213	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1214	C₄²	—	2	2	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	—	13	4	no	—
1220	C₄²	—	13	4	no	—
1221	C₄²	—	13	4	no	—
1222	C₄²	—	26	2	no	—
1223	C₄²	—	26	2	no	—
1224	C₄²	—	26	2	no	—
1225	C₄²	—	26	2	no	—
1226	C₄²	—	26	2	no	—
1227	C₄²	—	26	2	no	—
1228	C₄²	—	26	2	no	—
1229	C₄²	—	52	1	no	—
1230	C₄²	—	52	1	no	—
1231	C₄²	—	52	1	no	—
1232	C₄²	—	52	1	no	—
1233	C₄²	—	52	1	no	—
1234	C₄²	—	52	1	no	—
1235	C₄²	—	52	1	no	—
1236	C₄²	—	52	1	no	—
1237	C₄²	—	52	1	no	—
1238	C₄²	—	52	1	no	—
1239	C₄²	—	52	1	no	—
1240	C₄²	—	52	1	no	—
1241	C₄²	—	52	1	no	—
1242	C₄²	—	52	1	no	—
1243	C₄²	—	52	1	no	—
1244	C₄²	—	52	1	no	—
1245	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1246	C₁₃	#34247	1	1	yes	characteristic, complemented, Sylow
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	13	2	no	—
1254	C₂³	—	13	2	no	—
1255	C₂³	—	13	2	no	—
1256	C₂³	—	13	2	no	—
1257	C₂³	—	26	8	no	—
1258	C₂³	—	26	1	no	—
1259	C₂³	—	26	1	no	—
1260	C₂³	—	26	1	no	—
1261	C₂³	—	26	1	no	—
1262	C₂³	—	26	1	no	—
1263	C₂³	—	26	1	no	—
1264	C₂³	—	26	1	no	—
1265	C₂³	—	26	1	no	—
1266	C₂³	—	26	1	no	—
1267	C₂³	—	26	1	no	—
1268	C₂³	—	52	4	no	—
1269	C₂³	—	52	4	no	—
1270	C₂³	—	104	2	no	—
1271	C₂³	—	104	2	no	—
1272	C₂³	—	104	2	no	—
1273	C₂³	—	104	2	no	—
1274	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1275	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	8	2	no	—
1311	C₂×C₄	—	13	2	no	—
1312	C₂×C₄	—	13	2	no	—
1313	C₂×C₄	—	13	2	no	—
1314	C₂×C₄	—	13	2	no	—
1315	C₂×C₄	—	13	2	no	—
1316	C₂×C₄	—	13	2	no	—
1317	C₂×C₄	—	13	2	no	—
1318	C₂×C₄	—	13	2	no	—
1319	C₂×C₄	—	26	8	no	—
1320	C₂×C₄	—	26	8	no	—
1321	C₂×C₄	—	26	1	no	—
1322	C₂×C₄	—	26	1	no	—
1323	C₂×C₄	—	26	1	no	—
1324	C₂×C₄	—	26	1	no	—
1325	C₂×C₄	—	26	1	no	—
1326	C₂×C₄	—	26	1	no	—
1327	C₂×C₄	—	26	1	no	—
1328	C₂×C₄	—	26	1	no	—
1329	C₂×C₄	—	26	1	no	—
1330	C₂×C₄	—	26	1	no	—
1331	C₂×C₄	—	26	1	no	—
1332	C₂×C₄	—	26	1	no	—
1333	C₂×C₄	—	26	1	no	—
1334	C₂×C₄	—	26	1	no	—
1335	C₂×C₄	—	26	1	no	—
1336	C₂×C₄	—	26	1	no	—
1337	C₂×C₄	—	26	1	no	—
1338	C₂×C₄	—	26	1	no	—
1339	C₂×C₄	—	26	1	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	52	4	no	—
1356	C₂×C₄	—	52	4	no	—
1357	C₂×C₄	—	52	4	no	—
1358	C₂×C₄	—	52	4	no	—
1359	C₂×C₄	—	104	2	no	—
1360	C₂×C₄	—	104	2	no	—
1361	C₂×C₄	—	104	2	no	—
1362	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1363	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1364	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1365	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1366	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1367	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1368	C₂×C₄	#41×D₁₃	1	2	yes	—
1369	C₂×C₄	#41×D₁₃	1	2	yes	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	13	4	no	—
1378	C₂²	—	26	2	no	—
1379	C₂²	—	26	2	no	—
1380	C₂²	—	26	2	no	—
1381	C₂²	—	26	2	no	—
1382	C₂²	—	26	2	no	—
1383	C₂²	—	26	2	no	—
1384	C₂²	—	26	2	no	—
1385	C₂²	—	26	2	no	—
1386	C₂²	—	26	2	no	—
1387	C₂²	—	52	1	no	—
1388	C₂²	—	52	1	no	—
1389	C₂²	—	52	1	no	—
1390	C₂²	—	52	1	no	—
1391	C₂²	—	104	8	no	—
1392	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1393	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1394	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1395	C₂²	#11719650	1	1	yes	characteristic
1396	C₂²	#11719650	1	1	yes	characteristic
1397	C₂²	#11719652	1	1	yes	characteristic
1398	C₂²	#11719652	1	1	yes	characteristic
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	2	2	no	—
1402	C₄	—	2	2	no	—
1403	C₄	—	2	2	no	—
1404	C₄	—	2	2	no	—
1405	C₄	—	2	2	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	26	2	no	—
1414	C₄	—	26	2	no	—
1415	C₄	—	26	2	no	—
1416	C₄	—	26	2	no	—
1417	C₄	—	26	2	no	—
1418	C₄	—	26	2	no	—
1419	C₄	—	26	2	no	—
1420	C₄	—	26	2	no	—
1421	C₄	—	52	1	no	—
1422	C₄	—	52	1	no	—
1423	C₄	—	52	1	no	—
1424	C₄	—	52	1	no	—
1425	C₄	—	52	1	no	—
1426	C₄	—	52	1	no	—
1427	C₂	—	4	2	no	—
1428	C₂	—	26	4	no	—
1429	C₂	—	52	2	no	—
1430	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1431	C₂	#13128036	1	1	yes	characteristic
1432	C₂	#13128036	1	1	yes	characteristic
1433	C₂	#13128894	1	1	yes	characteristic
1434	C₂	#13128900	1	1	yes	characteristic
1435	C₂	#13128902	1	1	yes	characteristic
1436	C₂	#13128910	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2334	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2334	D₁₃
hypocenter	C₁₃	#34247
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. #13117963	C₂	semidirect
3. #13117963	C₂	semidirect
4. #13117959	C₂	semidirect
5. #13117959	C₂	semidirect
6. #13117955	C₂	semidirect
7. #13117955	C₂	semidirect
8. #13117951	C₂	semidirect
9. #13117951	C₂	semidirect
10. #13117712	C₂	semidirect
11. #13117710	C₂	semidirect
12. #13117704	C₂	semidirect
13. #13117702	C₂	semidirect
18. #13117615	C₂	semidirect
19. #13117611	C₂	semidirect
20. #13117607	C₂	semidirect
21. #13117435	C₂	semidirect
23. #13117390	C₂	semidirect
24. C₄×#88152	C₂	semidirect
25. #13117386	C₂	semidirect
26. C₄×#88133	C₂	semidirect
27. #13117229	C₂	semidirect
28. #13117190	C₂	semidirect
30. C₄×#88146	C₂	semidirect
31. C₁₃×#2334	C₂	semidirect
34. D₁₃×#126	C₄	semidirect
54. C₁₃×#389	C₂²	semidirect
55. C₁₃×#389	C₂²	semidirect
59. C₁₃×#387	C₂²	semidirect
60. C₁₃×#387	C₂²	semidirect
61. C₁₃×#387	C₂²	semidirect
64. C₁₃×#382	C₂²	semidirect
65. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
66. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
82. #11718646	C₂²	semidirect
83. #11718646	C₂²	semidirect
84. #11718642	C₂²	semidirect
85. #11718642	C₂²	semidirect
86. #11718642	C₂²	semidirect
87. #11718639	C₂²	semidirect
88. #11718639	C₂²	semidirect
89. #11718639	C₂²	semidirect
90. #11718639	C₂²	semidirect
91. #11718639	C₂²	semidirect
92. C₄⋊C₄×Dic₁₃	C₂²	semidirect
93. C₄⋊C₄×Dic₁₃	C₂²	semidirect
94. C₄⋊C₄×Dic₁₃	C₂²	semidirect
95. C₄⋊C₄×Dic₁₃	C₂²	semidirect
96. C₄⋊C₄×Dic₁₃	C₂²	semidirect
97. C₄⋊C₄×Dic₁₃	C₂²	semidirect
98. C₄⋊C₄×Dic₁₃	C₂²	semidirect
99. C₄⋊C₄×Dic₁₃	C₂²	semidirect
100. #11718633	C₂²	semidirect
101. #11718633	C₂²	semidirect
128. #11718597	C₂²	semidirect
129. C₄×C₄⋊Dic₁₃	C₂²	semidirect
130. C₄×C₄⋊Dic₁₃	C₂²	semidirect
131. C₄×C₄⋊Dic₁₃	C₂²	semidirect
132. C₄×C₄⋊Dic₁₃	C₂²	semidirect
133. #11718594	C₂²	semidirect
134. C₄×#6101	C₂²	semidirect
135. C₄×#6101	C₂²	semidirect
136. C₄×#6101	C₂²	semidirect
137. C₄×#6101	C₂²	semidirect
138. C₄²×Dic₁₃	C₂²	semidirect
139. C₄²×Dic₁₃	C₂²	semidirect
164. #11718316	C₂²	semidirect
165. #11718316	C₂²	semidirect
166. #11718316	C₂²	semidirect
167. #11718316	C₂²	semidirect
168. #11718316	C₂²	semidirect
169. #11718315	C₂²	semidirect
170. #11718315	C₂²	semidirect
171. #11718315	C₂²	semidirect
172. #11718314	C₂²	semidirect
173. #11718314	C₂²	semidirect
174. #11718314	C₂²	semidirect
175. #11718313	C₂²	semidirect
176. #11718312	C₂²	semidirect
177. #11718312	C₂²	semidirect
178. #11718310	C₂²	semidirect
179. #11718310	C₂²	semidirect
180. #11718310	C₂²	semidirect
181. #11718310	C₂²	semidirect
182. #11718309	C₂²	semidirect
183. #11718309	C₂²	semidirect
184. #11718309	C₂²	semidirect
185. #11718309	C₂²	semidirect
186. #11718308	C₂²	semidirect
187. #11718308	C₂²	semidirect
199. C₁₃×#126	C₂×C₄	semidirect
297. #88152	C₂×C₄	semidirect
298. #88152	C₂×C₄	semidirect
299. #88152	C₂×C₄	semidirect
303. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
304. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
305. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
310. #88133	C₂×C₄	semidirect
311. #88133	C₂×C₄	semidirect
312. #88133	C₂×C₄	semidirect
313. #88130	C₂×C₄	semidirect
315. C₄²×D₁₃	C₂×C₄	semidirect
549. #2334	D₁₃	semidirect
711. #389	C₂×D₁₃	semidirect
712. #389	C₂×D₁₃	semidirect
758. #387	C₂×D₁₃	semidirect
759. #387	C₂×D₁₃	semidirect
760. #387	C₂×D₁₃	semidirect
772. #382	C₂×D₁₃	semidirect
805. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
806. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
914. #126	C₄×D₁₃	semidirect
1246. C₁₃	#34247	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#126	2
#13117963	2
#13117959	2
#13117955	2
#13117951	2
#13117712	2
#13117710	2
#13117704	2
#13117702	2
#13117684	2
#13117683	2
#13117680	2
#13117615	2
#13117611	2
#13117607	2
#13117435	2
#13117430	2
#13117390	2
C₄×#88152	2
#13117386	2
C₄×#88133	2
#13117229	2
#13117190	2
#13117188	2
C₄×#88146	2
C₁₃×#2334	2
#34247	13