Subgroups — D₁₃×#2373 #16022599

Order 3328.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1512 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	#13117962	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117961	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117960	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117959	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117958	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117957	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117956	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117955	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117954	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117953	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117952	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117951	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117950	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117949	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#389	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
21	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#385	C₂	1	1	yes	maximal, characteristic
25	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
29	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
30	D₁₃×#376	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	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×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₃	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×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊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×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×#88133	C₂²	1	1	yes	characteristic
53	C₂×#88133	C₂²	1	1	yes	characteristic
54	C₂×#88133	C₂²	1	1	yes	characteristic
55	C₂×#88130	C₂²	1	1	yes	characteristic
56	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
60	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
61	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
64	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#388	C₂²	1	1	yes	characteristic
66	C₁₃×#388	C₂²	1	1	yes	characteristic
67	C₁₃×#388	C₂²	1	1	yes	characteristic
68	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#385	C₂²	1	1	yes	characteristic
72	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
77	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
78	#11718871	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	#11718651	C₂²	1	1	yes	characteristic
82	#11718651	C₂²	1	1	yes	characteristic
83	#11718651	C₂²	1	1	yes	characteristic
84	#11718650	C₂²	1	1	yes	characteristic
85	#11718650	C₂²	1	1	yes	characteristic
86	#11718646	C₂²	1	1	yes	characteristic, complemented
87	#11718642	C₂²	1	1	yes	characteristic, complemented
88	#11718642	C₂²	1	1	yes	characteristic, complemented
89	#11718642	C₂²	1	1	yes	characteristic, complemented
90	#11718639	C₂²	1	1	yes	characteristic, complemented
91	#11718639	C₂²	1	1	yes	characteristic, complemented
92	#11718639	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	#11718634	C₂²	1	1	yes	characteristic, complemented
100	#11718633	C₂²	1	1	yes	characteristic, complemented
101	#11718633	C₂²	1	1	yes	characteristic, complemented
102	#11718612	C₂²	1	1	yes	characteristic
103	#11718612	C₂²	1	1	yes	characteristic
104	#11718612	C₂²	1	1	yes	characteristic
105	#11718611	C₂²	1	1	yes	characteristic
106	#11718607	C₂²	1	1	yes	characteristic
107	#11718606	C₂²	1	1	yes	characteristic
108	#11718606	C₂²	1	1	yes	characteristic
109	#11718606	C₂²	1	1	yes	characteristic
110	#11718605	C₂²	1	1	yes	characteristic
111	#11718605	C₂²	1	1	yes	characteristic
112	#11718605	C₂²	1	1	yes	characteristic
113	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
114	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
117	#11718601	C₂²	1	1	yes	characteristic
118	#11718601	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×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
126	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
127	#11718594	C₂²	1	1	yes	characteristic, complemented
128	#11718594	C₂²	1	1	yes	characteristic, complemented
129	#11718594	C₂²	1	1	yes	characteristic, complemented
130	#11718593	C₂²	1	1	yes	characteristic, complemented
131	#11718593	C₂²	1	1	yes	characteristic, complemented
132	#11718593	C₂²	1	1	yes	characteristic, complemented
133	C₄×#6101	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	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
139	#11718589	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	#11718330	C₂²	1	1	yes	characteristic
144	#11718330	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	#11718327	C₂²	1	1	yes	characteristic
149	#11718327	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	#11718327	C₂²	1	1	yes	characteristic
152	D₁₃×#95	C₂²	1	1	yes	characteristic
153	D₁₃×#95	C₂²	1	1	yes	characteristic
154	D₁₃×#95	C₂²	1	1	yes	characteristic
155	D₁₃×#95	C₂²	1	1	yes	characteristic
156	D₁₃×#95	C₂²	1	1	yes	characteristic
157	D₁₃×#95	C₂²	1	1	yes	characteristic
158	D₁₃×#95	C₂²	1	1	yes	characteristic
159	D₁₃×#95	C₂²	1	1	yes	characteristic
160	D₁₃×#95	C₂²	1	1	yes	characteristic
161	D₁₃×#95	C₂²	1	1	yes	characteristic
162	D₁₃×#95	C₂²	1	1	yes	characteristic
163	D₁₃×#95	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	#11718315	C₂²	1	1	yes	characteristic, complemented
168	#11718315	C₂²	1	1	yes	characteristic, complemented
169	#11718315	C₂²	1	1	yes	characteristic, complemented
170	#11718314	C₂²	1	1	yes	characteristic, complemented
171	#11718314	C₂²	1	1	yes	characteristic, complemented
172	#11718314	C₂²	1	1	yes	characteristic, complemented
173	#11718313	C₂²	1	1	yes	characteristic, complemented
174	#11718313	C₂²	1	1	yes	characteristic, complemented
175	#11718313	C₂²	1	1	yes	characteristic, complemented
176	#11718310	C₂²	1	1	yes	characteristic, complemented
177	#11718310	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	—	2	4	no	—
192	C₂²×C₄×D₁₃	—	2	4	no	—
193	C₂²×C₄×D₁₃	—	4	2	no	—
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	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₁₃×#126	C₂×C₄	1	8	yes	complemented
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	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×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	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×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	#88152	C₂×C₄	1	8	yes	complemented
300	#88152	C₂×C₄	1	8	yes	complemented
301	#88152	C₂×C₄	1	8	yes	complemented
302	C₄⋊C₄×D₁₃	—	2	4	no	—
303	C₄⋊C₄×D₁₃	—	2	4	no	—
304	C₄⋊C₄×D₁₃	—	2	4	no	—
305	C₄⋊C₄×D₁₃	—	2	4	no	—
306	C₄⋊C₄×D₁₃	—	4	2	no	—
307	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
308	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
309	C₄⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
310	C₂²⋊C₄×D₁₃	—	2	4	no	—
311	C₂²⋊C₄×D₁₃	—	2	4	no	—
312	C₂²⋊C₄×D₁₃	—	4	2	no	—
313	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
314	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
315	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	—
316	#88133	C₂×C₄	1	8	yes	complemented
317	#88133	C₂×C₄	1	8	yes	complemented
318	#88133	C₂×C₄	1	8	yes	complemented
319	#88130	C₂×C₄	1	8	yes	complemented
320	C₄²×D₁₃	—	2	4	no	—
321	C₄²×D₁₃	—	2	4	no	—
322	C₄²×D₁₃	—	2	4	no	—
323	C₄²×D₁₃	—	2	4	no	—
324	C₄²×D₁₃	—	4	2	no	—
325	C₄²×D₁₃	—	4	2	no	—
326	C₄²×D₁₃	—	4	2	no	—
327	C₄²×D₁₃	C₂×C₄	1	8	yes	complemented
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	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	#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	C₂×#2373	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂³×D₁₃	—	2	2	no	—
379	C₂³×D₁₃	—	2	2	no	—
380	C₂³×D₁₃	—	2	2	no	—
381	C₂³×D₁₃	—	2	2	no	—
382	C₂³×D₁₃	—	2	2	no	—
383	C₂³×D₁₃	—	2	2	no	—
384	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
385	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
386	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	—	2	2	no	—
405	C₂²×Dic₁₃	—	2	2	no	—
406	C₂²×Dic₁₃	—	4	1	no	—
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×D₁₃	—	2	2	no	—
422	C₂×C₄×D₁₃	—	2	2	no	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	2	2	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	4	16	no	—
458	C₂×C₄×D₁₃	—	4	1	no	—
459	C₂×C₄×D₁₃	—	4	1	no	—
460	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
461	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
462	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
463	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
464	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
465	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
466	C₂×C₄×D₁₃	#41	1	4	yes	—
467	C₂×C₄×D₁₃	#41	1	4	yes	—
468	C₂×C₄×D₁₃	#41	1	4	yes	—
469	C₂×C₄×D₁₃	#41	1	4	yes	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	2	2	no	—
472	C₁₃×C₄⋊C₄	—	2	2	no	—
473	C₁₃×C₄⋊C₄	—	2	2	no	—
474	C₁₃×C₄⋊C₄	—	4	1	no	—
475	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
476	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
477	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	4	1	no	—
481	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
482	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
483	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	4	1	no	—
489	C₄²×C₁₃	—	4	1	no	—
490	C₄²×C₁₃	—	4	1	no	—
491	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
492	C₂²⋊Dic₁₃	—	2	2	no	—
493	C₂²⋊Dic₁₃	—	2	2	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
496	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
497	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
498	#6103	—	2	2	no	—
499	#6103	—	2	2	no	—
500	#6103	—	2	2	no	—
501	#6103	—	2	2	no	—
502	#6103	—	4	1	no	—
503	#6103	—	4	1	no	—
504	#6103	C₂²×C₄	1	4	yes	—
505	#6103	C₂²×C₄	1	4	yes	—
506	#6103	C₂²×C₄	1	4	yes	—
507	#6103	C₂²×C₄	1	4	yes	—
508	#6103	C₂²×C₄	1	4	yes	—
509	#6103	C₂²×C₄	1	4	yes	—
510	C₄⋊Dic₁₃	—	2	2	no	—
511	C₄⋊Dic₁₃	—	2	2	no	—
512	C₄⋊Dic₁₃	—	2	2	no	—
513	C₄⋊Dic₁₃	—	2	2	no	—
514	C₄⋊Dic₁₃	—	4	1	no	—
515	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
516	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
517	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
518	#6101	—	2	2	no	—
519	#6101	—	2	2	no	—
520	#6101	—	2	2	no	—
521	#6101	—	2	2	no	—
522	#6101	—	2	2	no	—
523	#6101	—	2	2	no	—
524	#6101	—	2	2	no	—
525	#6101	—	2	2	no	—
526	#6101	—	4	1	no	—
527	#6101	—	4	1	no	—
528	#6101	C₂²×C₄	1	4	yes	complemented
529	#6101	C₂²×C₄	1	4	yes	complemented
530	#6101	C₂²×C₄	1	4	yes	complemented
531	#6101	C₂²×C₄	1	4	yes	complemented
532	#6101	C₂²×C₄	1	4	yes	complemented
533	#6101	C₂²×C₄	1	4	yes	complemented
534	C₄×Dic₁₃	—	2	2	no	—
535	C₄×Dic₁₃	—	2	2	no	—
536	C₄×Dic₁₃	—	2	2	no	—
537	C₄×Dic₁₃	—	2	2	no	—
538	C₄×Dic₁₃	—	2	2	no	—
539	C₄×Dic₁₃	—	2	2	no	—
540	C₄×Dic₁₃	—	2	2	no	—
541	C₄×Dic₁₃	—	2	2	no	—
542	C₄×Dic₁₃	—	2	2	no	—
543	C₄×Dic₁₃	—	2	2	no	—
544	C₄×Dic₁₃	—	2	2	no	—
545	C₄×Dic₁₃	—	2	2	no	—
546	C₄×Dic₁₃	—	4	1	no	—
547	C₄×Dic₁₃	—	4	1	no	—
548	C₄×Dic₁₃	—	4	1	no	—
549	C₄×Dic₁₃	—	4	1	no	—
550	C₄×Dic₁₃	—	4	1	no	—
551	C₄×Dic₁₃	—	4	1	no	—
552	C₄×Dic₁₃	—	4	1	no	—
553	C₄×Dic₁₃	—	4	1	no	—
554	C₄×Dic₁₃	—	4	1	no	—
555	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
556	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
557	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
558	C₂²×#126	—	13	1	no	—
559	#2373	—	13	1	no	—
560	#2373	—	13	1	no	—
561	#2373	—	13	1	no	—
562	#2373	—	13	1	no	—
563	#2373	—	13	1	no	—
564	#2373	—	13	1	no	—
565	#2373	—	13	1	no	—
566	#2373	—	13	1	no	—
567	#2373	—	13	1	no	—
568	#2373	—	13	1	no	—
569	#2373	—	13	1	no	—
570	#2373	—	13	1	no	—
571	#2373	—	13	1	no	—
572	#2373	—	13	1	no	—
573	#2373	—	13	1	no	—
574	#2373	D₁₃	1	1	yes	characteristic, direct product factor
575	C₂×#389	—	13	1	no	—
576	C₂×#388	—	13	1	no	—
577	C₂×#388	—	13	1	no	—
578	C₂×#388	—	13	1	no	—
579	C₂×#387	—	13	1	no	—
580	C₂×#387	—	13	1	no	—
581	C₂×#387	—	13	1	no	—
582	C₂×#385	—	13	1	no	—
583	C₂×C₄×C₄⋊C₄	—	13	1	no	—
584	C₂×C₄×C₄⋊C₄	—	13	1	no	—
585	C₂×C₄×C₄⋊C₄	—	13	1	no	—
586	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
587	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
588	C₂×#376	—	13	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
596	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
597	C₂²×D₁₃	—	2	1	no	—
598	C₂²×D₁₃	—	2	1	no	—
599	C₂²×D₁₃	—	2	1	no	—
600	C₂²×D₁₃	—	2	1	no	—
601	C₂²×D₁₃	—	2	1	no	—
602	C₂²×D₁₃	—	2	1	no	—
603	C₂²×D₁₃	—	2	8	no	—
604	C₂²×D₁₃	—	2	8	no	—
605	C₂²×D₁₃	—	2	8	no	—
606	C₂²×D₁₃	—	4	4	no	—
607	C₂²×D₁₃	—	4	4	no	—
608	C₂²×D₁₃	—	4	4	no	—
609	C₂²×D₁₃	—	4	4	no	—
610	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
611	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
612	C₂²×D₁₃	C₂×#41	1	2	yes	—
613	C₂²×D₁₃	C₂×#41	1	2	yes	—
614	C₂²×D₁₃	C₂×#41	1	2	yes	—
615	C₂²×D₁₃	C₂×#41	1	2	yes	—
616	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
617	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	4	4	no	—
651	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
652	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
653	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
654	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
655	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
656	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
657	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
658	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
659	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
660	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	4	4	no	—
694	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
695	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
696	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
697	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
698	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
699	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
700	C₂×Dic₁₃	C₂×#41	1	2	yes	—
701	C₂×Dic₁₃	C₂×#41	1	2	yes	—
702	C₂×Dic₁₃	C₂×#41	1	2	yes	—
703	C₂×Dic₁₃	C₂×#41	1	2	yes	—
704	C₄×D₁₃	—	2	8	no	—
705	C₄×D₁₃	—	2	8	no	—
706	C₄×D₁₃	—	2	8	no	—
707	C₄×D₁₃	—	2	8	no	—
708	C₄×D₁₃	—	2	8	no	—
709	C₄×D₁₃	—	2	8	no	—
710	C₄×D₁₃	—	2	8	no	—
711	C₄×D₁₃	—	2	8	no	—
712	C₄×D₁₃	—	2	8	no	—
713	C₄×D₁₃	—	2	8	no	—
714	C₄×D₁₃	—	4	4	no	—
715	C₄×D₁₃	—	4	4	no	—
716	C₄×D₁₃	—	4	4	no	—
717	C₄×D₁₃	—	4	4	no	—
718	C₄×D₁₃	—	4	4	no	—
719	C₄×D₁₃	—	4	4	no	—
720	C₂⁴×C₄	—	13	1	no	—
721	C₂×#126	—	13	16	no	—
722	C₂×#126	—	13	1	no	—
723	C₂×#126	—	13	1	no	—
724	C₂×#126	—	13	1	no	—
725	C₂×#126	—	13	1	no	—
726	C₂×#126	—	13	1	no	—
727	C₂×#126	—	13	1	no	—
728	C₂×#126	—	13	1	no	—
729	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
730	C₂²×C₄⋊C₄	—	13	1	no	—
731	C₂²×C₄⋊C₄	—	13	1	no	—
732	C₂²×C₄⋊C₄	—	13	1	no	—
733	C₂²×C₄⋊C₄	—	13	1	no	—
734	C₂²×C₄⋊C₄	—	13	1	no	—
735	C₂²×C₄⋊C₄	—	13	1	no	—
736	C₂²×C₄⋊C₄	—	13	1	no	—
737	C₂²×C₄⋊C₄	—	13	1	no	—
738	C₂²×C₂²⋊C₄	—	13	1	no	—
739	C₂²×C₂²⋊C₄	—	13	1	no	—
740	C₂²×C₂²⋊C₄	—	13	1	no	—
741	C₂²×C₂²⋊C₄	—	13	1	no	—
742	C₂²×C₂²⋊C₄	—	13	1	no	—
743	C₂²×C₂²⋊C₄	—	13	1	no	—
744	C₂²×C₄²	—	13	1	no	—
745	C₂²×C₄²	—	13	1	no	—
746	C₂²×C₄²	—	13	1	no	—
747	C₂²×C₄²	—	13	1	no	—
748	C₂²×C₄²	—	13	1	no	—
749	C₂²×C₄²	—	13	1	no	—
750	C₂²×C₄²	—	13	1	no	—
751	C₂²×C₄²	—	13	1	no	—
752	#389	—	13	1	no	—
753	#389	—	13	1	no	—
754	#389	—	13	1	no	—
755	#389	—	13	1	no	—
756	#389	—	13	1	no	—
757	#389	—	13	1	no	—
758	#389	—	13	1	no	—
759	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
760	#388	—	13	1	no	—
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	—	13	1	no	—
768	#388	—	13	1	no	—
769	#388	—	13	1	no	—
770	#388	—	13	1	no	—
771	#388	—	13	1	no	—
772	#388	—	13	1	no	—
773	#388	—	13	1	no	—
774	#388	—	13	1	no	—
775	#388	—	13	1	no	—
776	#388	—	13	1	no	—
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	C₂×D₁₃	1	1	yes	characteristic
782	#388	C₂×D₁₃	1	1	yes	characteristic
783	#388	C₂×D₁₃	1	1	yes	characteristic
784	#387	—	13	1	no	—
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	—	13	1	no	—
799	#387	—	13	1	no	—
800	#387	—	13	1	no	—
801	#387	—	13	1	no	—
802	#387	—	13	1	no	—
803	#387	—	13	1	no	—
804	#387	—	13	1	no	—
805	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
806	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
807	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
808	#385	—	13	1	no	—
809	#385	—	13	1	no	—
810	#385	—	13	1	no	—
811	#385	—	13	1	no	—
812	#385	—	13	1	no	—
813	#385	—	13	1	no	—
814	#385	—	13	1	no	—
815	#385	C₂×D₁₃	1	1	yes	characteristic
816	C₄×C₄⋊C₄	—	13	1	no	—
817	C₄×C₄⋊C₄	—	13	1	no	—
818	C₄×C₄⋊C₄	—	13	1	no	—
819	C₄×C₄⋊C₄	—	13	1	no	—
820	C₄×C₄⋊C₄	—	13	1	no	—
821	C₄×C₄⋊C₄	—	13	1	no	—
822	C₄×C₄⋊C₄	—	13	1	no	—
823	C₄×C₄⋊C₄	—	13	1	no	—
824	C₄×C₄⋊C₄	—	13	1	no	—
825	C₄×C₄⋊C₄	—	13	1	no	—
826	C₄×C₄⋊C₄	—	13	1	no	—
827	C₄×C₄⋊C₄	—	13	1	no	—
828	C₄×C₄⋊C₄	—	13	1	no	—
829	C₄×C₄⋊C₄	—	13	1	no	—
830	C₄×C₄⋊C₄	—	13	1	no	—
831	C₄×C₄⋊C₄	—	13	1	no	—
832	C₄×C₄⋊C₄	—	13	1	no	—
833	C₄×C₄⋊C₄	—	13	1	no	—
834	C₄×C₄⋊C₄	—	13	1	no	—
835	C₄×C₄⋊C₄	—	13	1	no	—
836	C₄×C₄⋊C₄	—	13	1	no	—
837	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
838	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
839	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₄×C₂²⋊C₄	—	13	1	no	—
846	C₄×C₂²⋊C₄	—	13	1	no	—
847	C₄×C₂²⋊C₄	—	13	1	no	—
848	C₄×C₂²⋊C₄	—	13	1	no	—
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	—	13	1	no	—
852	C₄×C₂²⋊C₄	—	13	1	no	—
853	C₄×C₂²⋊C₄	—	13	1	no	—
854	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
855	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
856	#376	—	13	1	no	—
857	#376	—	13	1	no	—
858	#376	—	13	1	no	—
859	#376	—	13	1	no	—
860	#376	—	13	1	no	—
861	#376	—	13	1	no	—
862	#376	—	13	1	no	—
863	#376	C₂×D₁₃	1	1	yes	characteristic, complemented
864	C₂×#95	—	13	1	no	—
865	C₂×#95	—	13	1	no	—
866	C₂×#95	—	13	1	no	—
867	C₂×#95	—	13	1	no	—
868	C₂×#95	—	13	1	no	—
869	C₂×#95	—	13	1	no	—
870	C₂×#95	—	13	1	no	—
871	C₂×#95	—	13	1	no	—
872	C₂×#95	—	13	1	no	—
873	C₂×#95	—	13	1	no	—
874	C₂×#95	—	13	1	no	—
875	C₂×#95	—	13	1	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	2	no	—
878	C₂²×C₁₃	—	2	2	no	—
879	C₂²×C₁₃	—	4	1	no	—
880	C₂²×C₁₃	—	4	1	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
884	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
885	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
886	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
887	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
888	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
889	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
890	C₂×D₁₃	—	2	2	no	—
891	C₂×D₁₃	—	2	2	no	—
892	C₂×D₁₃	—	2	2	no	—
893	C₂×D₁₃	—	4	1	no	—
894	C₂×D₁₃	—	4	1	no	—
895	C₂×D₁₃	—	4	1	no	—
896	C₂×D₁₃	—	4	1	no	—
897	C₂×D₁₃	—	4	16	no	—
898	C₂×D₁₃	C₄×#41	1	4	yes	—
899	C₂×D₁₃	C₄×#41	1	4	yes	—
900	C₂×D₁₃	#520	1	4	yes	—
901	C₂×D₁₃	#551	1	4	yes	—
902	C₂×D₁₃	#552	1	4	yes	—
903	C₂×D₁₃	#553	1	4	yes	—
904	C₂×D₁₃	#556	1	4	yes	—
905	C₄×C₁₃	—	2	2	no	—
906	C₄×C₁₃	—	2	2	no	—
907	C₄×C₁₃	—	2	2	no	—
908	C₄×C₁₃	—	2	2	no	—
909	C₄×C₁₃	—	2	2	no	—
910	C₄×C₁₃	—	2	2	no	—
911	C₄×C₁₃	—	2	2	no	—
912	C₄×C₁₃	—	2	2	no	—
913	C₄×C₁₃	—	2	2	no	—
914	C₄×C₁₃	—	2	2	no	—
915	C₄×C₁₃	—	4	1	no	—
916	C₄×C₁₃	—	4	1	no	—
917	C₄×C₁₃	—	4	1	no	—
918	C₄×C₁₃	—	4	1	no	—
919	Dic₁₃	—	2	2	no	—
920	Dic₁₃	—	2	2	no	—
921	Dic₁₃	—	2	2	no	—
922	Dic₁₃	—	2	2	no	—
923	Dic₁₃	—	2	2	no	—
924	Dic₁₃	—	2	2	no	—
925	Dic₁₃	—	2	2	no	—
926	Dic₁₃	—	2	2	no	—
927	Dic₁₃	—	2	2	no	—
928	Dic₁₃	—	2	2	no	—
929	Dic₁₃	—	4	1	no	—
930	Dic₁₃	—	4	1	no	—
931	Dic₁₃	—	4	1	no	—
932	Dic₁₃	—	4	1	no	—
933	C₂⁵	—	13	1	no	—
934	C₂³×C₄	—	13	1	no	—
935	C₂³×C₄	—	13	1	no	—
936	C₂³×C₄	—	13	1	no	—
937	C₂³×C₄	—	13	1	no	—
938	C₂³×C₄	—	13	1	no	—
939	C₂³×C₄	—	13	1	no	—
940	C₂³×C₄	—	13	1	no	—
941	C₂³×C₄	—	13	1	no	—
942	C₂³×C₄	—	13	1	no	—
943	C₂³×C₄	—	13	1	no	—
944	C₂³×C₄	—	13	1	no	—
945	C₂³×C₄	—	13	1	no	—
946	C₂³×C₄	—	13	1	no	—
947	C₂³×C₄	—	13	1	no	—
948	C₂³×C₄	—	13	1	no	—
949	C₂³×C₄	—	13	1	no	—
950	C₂³×C₄	—	13	1	no	—
951	C₂³×C₄	—	26	4	no	—
952	C₂³×C₄	—	26	4	no	—
953	C₂³×C₄	—	52	2	no	—
954	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
955	#126	—	13	8	no	—
956	#126	—	13	8	no	—
957	#126	—	13	8	no	—
958	#126	—	13	8	no	—
959	#126	—	13	8	no	—
960	#126	—	13	8	no	—
961	#126	—	13	8	no	—
962	#126	C₄×D₁₃	1	8	yes	complemented
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	8	no	—
973	C₂×C₄⋊C₄	—	13	8	no	—
974	C₂×C₄⋊C₄	—	13	8	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	13	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	26	4	no	—
991	C₂×C₄⋊C₄	—	26	4	no	—
992	C₂×C₄⋊C₄	—	26	4	no	—
993	C₂×C₄⋊C₄	—	26	4	no	—
994	C₂×C₄⋊C₄	—	52	2	no	—
995	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	8	no	—
1013	C₂×C₂²⋊C₄	—	13	8	no	—
1014	C₂×C₂²⋊C₄	—	13	8	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	13	1	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	1	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	13	1	no	—
1022	C₂×C₂²⋊C₄	—	13	1	no	—
1023	C₂×C₂²⋊C₄	—	13	1	no	—
1024	C₂×C₂²⋊C₄	—	26	4	no	—
1025	C₂×C₂²⋊C₄	—	26	4	no	—
1026	C₂×C₂²⋊C₄	—	52	2	no	—
1027	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	8	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	1	no	—
1043	C₂×C₄²	—	13	1	no	—
1044	C₂×C₄²	—	13	1	no	—
1045	C₂×C₄²	—	13	1	no	—
1046	C₂×C₄²	—	13	1	no	—
1047	C₂×C₄²	—	13	1	no	—
1048	C₂×C₄²	—	13	1	no	—
1049	C₂×C₄²	—	13	1	no	—
1050	C₂×C₄²	—	13	1	no	—
1051	C₂×C₄²	—	13	1	no	—
1052	C₂×C₄²	—	13	1	no	—
1053	C₂×C₄²	—	13	1	no	—
1054	C₂×C₄²	—	13	1	no	—
1055	C₂×C₄²	—	13	1	no	—
1056	C₂×C₄²	—	13	1	no	—
1057	C₂×C₄²	—	13	1	no	—
1058	C₂×C₄²	—	26	4	no	—
1059	C₂×C₄²	—	26	4	no	—
1060	C₂×C₄²	—	26	4	no	—
1061	C₂×C₄²	—	26	4	no	—
1062	C₂×C₄²	—	52	2	no	—
1063	C₂×C₄²	—	52	2	no	—
1064	C₂×C₄²	—	52	2	no	—
1065	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1066	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1067	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1068	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1070	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1071	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	—	13	1	no	—
1088	#95	—	13	1	no	—
1089	#95	—	13	1	no	—
1090	#95	—	13	1	no	—
1091	#95	—	13	1	no	—
1092	#95	—	13	1	no	—
1093	#95	—	13	1	no	—
1094	#95	—	13	1	no	—
1095	#95	—	13	1	no	—
1096	#95	—	13	1	no	—
1097	#95	—	13	1	no	—
1098	#95	—	13	1	no	—
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	C₂²×D₁₃	1	1	yes	characteristic
1110	#95	C₂²×D₁₃	1	1	yes	characteristic
1111	#95	C₂²×D₁₃	1	1	yes	characteristic
1112	#95	C₂²×D₁₃	1	1	yes	characteristic
1113	#95	C₂²×D₁₃	1	1	yes	characteristic
1114	#95	C₂²×D₁₃	1	1	yes	characteristic
1115	#95	C₂²×D₁₃	1	1	yes	characteristic
1116	#95	C₂²×D₁₃	1	1	yes	characteristic
1117	#95	C₂²×D₁₃	1	1	yes	characteristic
1118	#95	C₂²×D₁₃	1	1	yes	characteristic
1119	#95	C₂²×D₁₃	1	1	yes	characteristic
1120	#95	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂×C₁₃	—	4	2	no	—
1122	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1123	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1124	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1125	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1126	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1127	C₂×C₁₃	C₂×#553	1	1	yes	characteristic
1128	C₂×C₁₃	C₂×#556	1	1	yes	characteristic
1129	D₁₃	—	4	2	no	—
1130	D₁₃	#2373	1	8	yes	direct product factor
1131	C₂⁴	—	13	1	no	—
1132	C₂⁴	—	13	4	no	—
1133	C₂⁴	—	13	1	no	—
1134	C₂⁴	—	26	2	no	—
1135	C₂⁴	—	26	2	no	—
1136	C₂⁴	—	26	2	no	—
1137	C₂⁴	—	26	2	no	—
1138	C₂⁴	—	26	2	no	—
1139	C₂⁴	—	26	2	no	—
1140	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	1	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	1	no	—
1151	C₂²×C₄	—	13	1	no	—
1152	C₂²×C₄	—	13	1	no	—
1153	C₂²×C₄	—	13	1	no	—
1154	C₂²×C₄	—	13	4	no	—
1155	C₂²×C₄	—	13	4	no	—
1156	C₂²×C₄	—	13	4	no	—
1157	C₂²×C₄	—	13	4	no	—
1158	C₂²×C₄	—	13	4	no	—
1159	C₂²×C₄	—	13	4	no	—
1160	C₂²×C₄	—	13	4	no	—
1161	C₂²×C₄	—	13	4	no	—
1162	C₂²×C₄	—	13	4	no	—
1163	C₂²×C₄	—	13	4	no	—
1164	C₂²×C₄	—	13	1	no	—
1165	C₂²×C₄	—	13	1	no	—
1166	C₂²×C₄	—	13	1	no	—
1167	C₂²×C₄	—	13	1	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	—	26	2	no	—
1179	C₂²×C₄	—	26	2	no	—
1180	C₂²×C₄	—	26	2	no	—
1181	C₂²×C₄	—	26	2	no	—
1182	C₂²×C₄	—	26	2	no	—
1183	C₂²×C₄	—	26	2	no	—
1184	C₂²×C₄	—	26	2	no	—
1185	C₂²×C₄	—	26	2	no	—
1186	C₂²×C₄	—	26	2	no	—
1187	C₂²×C₄	—	26	2	no	—
1188	C₂²×C₄	—	26	2	no	—
1189	C₂²×C₄	—	26	2	no	—
1190	C₂²×C₄	—	26	2	no	—
1191	C₂²×C₄	—	26	2	no	—
1192	C₂²×C₄	—	26	2	no	—
1193	C₂²×C₄	—	26	2	no	—
1194	C₂²×C₄	—	26	2	no	—
1195	C₂²×C₄	—	26	2	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	—	26	2	no	—
1206	C₂²×C₄	—	52	1	no	—
1207	C₂²×C₄	—	52	1	no	—
1208	C₂²×C₄	—	52	16	no	—
1209	C₂²×C₄	—	52	1	no	—
1210	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	13	4	no	—
1230	C₄⋊C₄	—	13	4	no	—
1231	C₄⋊C₄	—	13	4	no	—
1232	C₄⋊C₄	—	13	4	no	—
1233	C₄⋊C₄	—	13	4	no	—
1234	C₄⋊C₄	—	13	4	no	—
1235	C₄⋊C₄	—	13	4	no	—
1236	C₄⋊C₄	—	13	4	no	—
1237	C₄⋊C₄	—	13	4	no	—
1238	C₄⋊C₄	—	26	2	no	—
1239	C₄⋊C₄	—	26	2	no	—
1240	C₄⋊C₄	—	26	2	no	—
1241	C₄⋊C₄	—	26	2	no	—
1242	C₄⋊C₄	—	26	2	no	—
1243	C₄⋊C₄	—	26	2	no	—
1244	C₄⋊C₄	—	26	2	no	—
1245	C₄⋊C₄	—	26	2	no	—
1246	C₄⋊C₄	—	26	2	no	—
1247	C₄⋊C₄	—	26	2	no	—
1248	C₄⋊C₄	—	26	2	no	—
1249	C₄⋊C₄	—	26	2	no	—
1250	C₄⋊C₄	—	52	1	no	—
1251	C₄⋊C₄	—	52	1	no	—
1252	C₄⋊C₄	—	52	1	no	—
1253	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1254	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1255	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	13	4	no	—
1260	C₂²⋊C₄	—	13	4	no	—
1261	C₂²⋊C₄	—	13	4	no	—
1262	C₂²⋊C₄	—	13	4	no	—
1263	C₂²⋊C₄	—	13	4	no	—
1264	C₂²⋊C₄	—	13	4	no	—
1265	C₂²⋊C₄	—	13	4	no	—
1266	C₂²⋊C₄	—	13	4	no	—
1267	C₂²⋊C₄	—	13	4	no	—
1268	C₂²⋊C₄	—	26	2	no	—
1269	C₂²⋊C₄	—	26	2	no	—
1270	C₂²⋊C₄	—	26	2	no	—
1271	C₂²⋊C₄	—	26	2	no	—
1272	C₂²⋊C₄	—	26	2	no	—
1273	C₂²⋊C₄	—	26	2	no	—
1274	C₂²⋊C₄	—	52	1	no	—
1275	C₂²⋊C₄	—	52	1	no	—
1276	C₂²⋊C₄	—	52	1	no	—
1277	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1278	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1279	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1280	C₄²	—	2	2	no	—
1281	C₄²	—	2	2	no	—
1282	C₄²	—	2	2	no	—
1283	C₄²	—	2	2	no	—
1284	C₄²	—	4	1	no	—
1285	C₄²	—	4	1	no	—
1286	C₄²	—	4	1	no	—
1287	C₄²	—	13	4	no	—
1288	C₄²	—	13	4	no	—
1289	C₄²	—	13	4	no	—
1290	C₄²	—	26	2	no	—
1291	C₄²	—	26	2	no	—
1292	C₄²	—	26	2	no	—
1293	C₄²	—	26	2	no	—
1294	C₄²	—	26	2	no	—
1295	C₄²	—	26	2	no	—
1296	C₄²	—	26	2	no	—
1297	C₄²	—	26	2	no	—
1298	C₄²	—	26	2	no	—
1299	C₄²	—	26	2	no	—
1300	C₄²	—	26	2	no	—
1301	C₄²	—	26	2	no	—
1302	C₄²	—	52	1	no	—
1303	C₄²	—	52	1	no	—
1304	C₄²	—	52	1	no	—
1305	C₄²	—	52	1	no	—
1306	C₄²	—	52	1	no	—
1307	C₄²	—	52	1	no	—
1308	C₄²	—	52	1	no	—
1309	C₄²	—	52	1	no	—
1310	C₄²	—	52	1	no	—
1311	C₄²	C₂×C₄×D₁₃	1	4	yes	complemented
1312	C₁₃	C₂×#2373	1	1	yes	characteristic, complemented, Sylow
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	13	2	no	—
1320	C₂³	—	13	2	no	—
1321	C₂³	—	13	2	no	—
1322	C₂³	—	13	2	no	—
1323	C₂³	—	13	2	no	—
1324	C₂³	—	13	2	no	—
1325	C₂³	—	13	2	no	—
1326	C₂³	—	13	2	no	—
1327	C₂³	—	26	8	no	—
1328	C₂³	—	26	8	no	—
1329	C₂³	—	26	8	no	—
1330	C₂³	—	26	1	no	—
1331	C₂³	—	26	1	no	—
1332	C₂³	—	26	1	no	—
1333	C₂³	—	26	1	no	—
1334	C₂³	—	26	1	no	—
1335	C₂³	—	26	1	no	—
1336	C₂³	—	52	4	no	—
1337	C₂³	—	52	4	no	—
1338	C₂³	—	52	4	no	—
1339	C₂³	—	52	4	no	—
1340	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1341	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	4	4	no	—
1375	C₂×C₄	—	13	2	no	—
1376	C₂×C₄	—	13	2	no	—
1377	C₂×C₄	—	13	2	no	—
1378	C₂×C₄	—	13	2	no	—
1379	C₂×C₄	—	13	2	no	—
1380	C₂×C₄	—	13	2	no	—
1381	C₂×C₄	—	13	2	no	—
1382	C₂×C₄	—	13	2	no	—
1383	C₂×C₄	—	13	2	no	—
1384	C₂×C₄	—	13	2	no	—
1385	C₂×C₄	—	26	8	no	—
1386	C₂×C₄	—	26	8	no	—
1387	C₂×C₄	—	26	8	no	—
1388	C₂×C₄	—	26	8	no	—
1389	C₂×C₄	—	26	8	no	—
1390	C₂×C₄	—	26	8	no	—
1391	C₂×C₄	—	26	8	no	—
1392	C₂×C₄	—	26	8	no	—
1393	C₂×C₄	—	26	8	no	—
1394	C₂×C₄	—	26	8	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	26	1	no	—
1415	C₂×C₄	—	26	1	no	—
1416	C₂×C₄	—	26	1	no	—
1417	C₂×C₄	—	26	1	no	—
1418	C₂×C₄	—	26	1	no	—
1419	C₂×C₄	—	26	1	no	—
1420	C₂×C₄	—	26	1	no	—
1421	C₂×C₄	—	26	1	no	—
1422	C₂×C₄	—	26	1	no	—
1423	C₂×C₄	—	26	1	no	—
1424	C₂×C₄	—	26	1	no	—
1425	C₂×C₄	—	26	1	no	—
1426	C₂×C₄	—	26	1	no	—
1427	C₂×C₄	—	52	4	no	—
1428	C₂×C₄	—	52	4	no	—
1429	C₂×C₄	—	52	4	no	—
1430	C₂×C₄	—	52	4	no	—
1431	C₂×C₄	—	52	4	no	—
1432	C₂×C₄	—	52	4	no	—
1433	C₂×C₄	—	52	4	no	—
1434	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1435	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1436	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1437	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1438	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1439	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1440	C₂×C₄	#41×D₁₃	1	2	yes	—
1441	C₂×C₄	#41×D₁₃	1	2	yes	—
1442	C₂×C₄	#41×D₁₃	1	2	yes	—
1443	C₂×C₄	#41×D₁₃	1	2	yes	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	13	4	no	—
1452	C₂²	—	13	4	no	—
1453	C₂²	—	13	4	no	—
1454	C₂²	—	13	4	no	—
1455	C₂²	—	13	4	no	—
1456	C₂²	—	13	4	no	—
1457	C₂²	—	13	4	no	—
1458	C₂²	—	26	2	no	—
1459	C₂²	—	26	2	no	—
1460	C₂²	—	26	2	no	—
1461	C₂²	—	52	16	no	—
1462	C₂²	—	52	1	no	—
1463	C₂²	—	52	1	no	—
1464	C₂²	—	52	1	no	—
1465	C₂²	—	52	1	no	—
1466	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1467	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1468	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1469	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1470	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1471	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1472	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1473	C₄	—	2	2	no	—
1474	C₄	—	2	2	no	—
1475	C₄	—	2	2	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	2	2	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₄	—	26	2	no	—
1488	C₄	—	26	2	no	—
1489	C₄	—	26	2	no	—
1490	C₄	—	26	2	no	—
1491	C₄	—	26	2	no	—
1492	C₄	—	26	2	no	—
1493	C₄	—	26	2	no	—
1494	C₄	—	26	2	no	—
1495	C₄	—	26	2	no	—
1496	C₄	—	26	2	no	—
1497	C₄	—	52	1	no	—
1498	C₄	—	52	1	no	—
1499	C₄	—	52	1	no	—
1500	C₄	—	52	1	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	13	8	no	—
1503	C₂	—	52	2	no	—
1504	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1505	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1506	C₂	D₁₃×#520	1	1	yes	characteristic
1507	C₂	D₁₃×#551	1	1	yes	characteristic
1508	C₂	D₁₃×#552	1	1	yes	characteristic
1509	C₂	D₁₃×#553	1	1	yes	characteristic
1510	C₂	D₁₃×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2373	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2373	D₁₃
hypocenter	C₁₃	C₂×#2373
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2373

Complements

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

N	H ≅ G/N	type
2. #13117963	C₂	semidirect
3. #13117962	C₂	semidirect
4. #13117961	C₂	semidirect
5. #13117960	C₂	semidirect
6. #13117959	C₂	semidirect
7. #13117958	C₂	semidirect
8. #13117957	C₂	semidirect
9. #13117956	C₂	semidirect
10. #13117955	C₂	semidirect
11. #13117954	C₂	semidirect
12. #13117953	C₂	semidirect
13. #13117952	C₂	semidirect
14. #13117951	C₂	semidirect
15. #13117950	C₂	semidirect
16. #13117949	C₂	semidirect
17. D₁₃×#389	C₂	semidirect
21. D₁₃×#387	C₂	semidirect
22. D₁₃×#387	C₂	semidirect
23. D₁₃×#387	C₂	semidirect
25. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
26. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
27. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
30. D₁₃×#376	C₂	semidirect
31. C₁₃×#2373	C₂	semidirect
34. D₁₃×#126	C₄	semidirect
64. C₁₃×#389	C₂²	semidirect
68. C₁₃×#387	C₂²	semidirect
69. C₁₃×#387	C₂²	semidirect
70. C₁₃×#387	C₂²	semidirect
72. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
73. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
74. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
77. C₁₃×#376	C₂²	semidirect
86. #11718646	C₂²	semidirect
87. #11718642	C₂²	semidirect
88. #11718642	C₂²	semidirect
89. #11718642	C₂²	semidirect
90. #11718639	C₂²	semidirect
91. #11718639	C₂²	semidirect
92. #11718639	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. #11718634	C₂²	semidirect
100. #11718633	C₂²	semidirect
101. #11718633	C₂²	semidirect
124. C₄×C₄⋊Dic₁₃	C₂²	semidirect
125. C₄×C₄⋊Dic₁₃	C₂²	semidirect
126. C₄×C₄⋊Dic₁₃	C₂²	semidirect
127. #11718594	C₂²	semidirect
128. #11718594	C₂²	semidirect
129. #11718594	C₂²	semidirect
130. #11718593	C₂²	semidirect
131. #11718593	C₂²	semidirect
132. #11718593	C₂²	semidirect
133. C₄×#6101	C₂²	semidirect
134. C₄×#6101	C₂²	semidirect
135. C₄×#6101	C₂²	semidirect
136. C₄×#6101	C₂²	semidirect
137. C₄×#6101	C₂²	semidirect
138. C₄×#6101	C₂²	semidirect
139. #11718589	C₂²	semidirect
164. #11718316	C₂²	semidirect
165. #11718316	C₂²	semidirect
166. #11718316	C₂²	semidirect
167. #11718315	C₂²	semidirect
168. #11718315	C₂²	semidirect
169. #11718315	C₂²	semidirect
170. #11718314	C₂²	semidirect
171. #11718314	C₂²	semidirect
172. #11718314	C₂²	semidirect
173. #11718313	C₂²	semidirect
174. #11718313	C₂²	semidirect
175. #11718313	C₂²	semidirect
176. #11718310	C₂²	semidirect
177. #11718310	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
210. C₁₃×#126	C₂×C₄	semidirect
299. #88152	C₂×C₄	semidirect
300. #88152	C₂×C₄	semidirect
301. #88152	C₂×C₄	semidirect
307. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
308. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
309. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
316. #88133	C₂×C₄	semidirect
317. #88133	C₂×C₄	semidirect
318. #88133	C₂×C₄	semidirect
319. #88130	C₂×C₄	semidirect
327. C₄²×D₁₃	C₂×C₄	semidirect
475. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
476. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
477. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
491. C₄²×C₁₃	C₂²×C₄	semidirect
515. C₄⋊Dic₁₃	C₂²×C₄	semidirect
516. C₄⋊Dic₁₃	C₂²×C₄	semidirect
517. C₄⋊Dic₁₃	C₂²×C₄	semidirect
528. #6101	C₂²×C₄	semidirect
529. #6101	C₂²×C₄	semidirect
530. #6101	C₂²×C₄	semidirect
531. #6101	C₂²×C₄	semidirect
532. #6101	C₂²×C₄	semidirect
533. #6101	C₂²×C₄	semidirect
555. C₄×Dic₁₃	C₂²×C₄	semidirect
556. C₄×Dic₁₃	C₂²×C₄	semidirect
557. C₄×Dic₁₃	C₂²×C₄	semidirect
574. #2373	D₁₃	direct (N × H)
759. #389	C₂×D₁₃	semidirect
805. #387	C₂×D₁₃	semidirect
806. #387	C₂×D₁₃	semidirect
807. #387	C₂×D₁₃	semidirect
837. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
838. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
839. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
863. #376	C₂×D₁₃	semidirect
962. #126	C₄×D₁₃	semidirect
1130. D₁₃	#2373	direct (N × H)
1253. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1254. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1255. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1311. C₄²	C₂×C₄×D₁₃	semidirect
1312. C₁₃	C₂×#2373	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
#13117962	2
#13117961	2
#13117960	2
#13117959	2
#13117958	2
#13117957	2
#13117956	2
#13117955	2
#13117954	2
#13117953	2
#13117952	2
#13117951	2
#13117950	2
#13117949	2
D₁₃×#389	2
D₁₃×#388	2
D₁₃×#387	2
D₁₃×#385	2
C₄×C₄⋊C₄×D₁₃	2
C₄×C₂²⋊C₄×D₁₃	2
D₁₃×#376	2
C₁₃×#2373	2
C₂×#2373	13

Subgroups — D13×#2373 #16022599

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2373 #16022599