Subgroups — #16026496

Order 3328.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13118028	C₂	1	1	yes	maximal, characteristic, complemented
2	#13118022	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118002	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117984	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117960	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117936	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117921	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117888	C₂	1	1	yes	maximal, characteristic
9	#13117856	C₂	1	1	yes	maximal, characteristic
10	#13117845	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117845	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117832	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117776	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117765	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117746	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₄⋊Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117642	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117630	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117615	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117615	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117578	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117571	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117520	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117508	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117508	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117508	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117439	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718646	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#539	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#539	C₄	1	16	yes	complemented
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
49	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
51	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
52	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
53	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
54	C₂×#88180	C₂²	1	1	yes	characteristic
55	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
58	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
59	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
60	#11718891	C₂²	1	1	yes	characteristic
61	#11718891	C₂²	1	1	yes	characteristic
62	#11718891	C₂²	1	1	yes	characteristic
63	#11718882	C₂²	1	1	yes	characteristic
64	#11718881	C₂²	1	1	yes	characteristic
65	#11718881	C₂²	1	1	yes	characteristic
66	#11718881	C₂²	1	1	yes	characteristic
67	#11718881	C₂²	1	1	yes	characteristic
68	#11718881	C₂²	1	1	yes	characteristic
69	#11718881	C₂²	1	1	yes	characteristic
70	#11718873	C₂²	1	1	yes	characteristic
71	#11718873	C₂²	1	1	yes	characteristic
72	#11718873	C₂²	1	1	yes	characteristic
73	#11718873	C₂²	1	1	yes	characteristic
74	#11718873	C₂²	1	1	yes	characteristic
75	#11718872	C₂²	1	1	yes	characteristic
76	#11718872	C₂²	1	1	yes	characteristic
77	#11718872	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	C₂×#88071	C₂²	1	1	yes	characteristic
82	C₂×#88071	C₂²	1	1	yes	characteristic
83	C₂×#88071	C₂²	1	1	yes	characteristic
84	#11718646	C₂²	1	1	yes	characteristic
85	#11718646	C₂²	1	1	yes	characteristic
86	#11718646	C₂²	1	1	yes	characteristic
87	#11718646	C₂²	1	1	yes	characteristic
88	#11718646	C₂²	1	1	yes	characteristic
89	#11718646	C₂²	1	1	yes	characteristic
90	#11718646	C₂²	1	1	yes	characteristic
91	#11718646	C₂²	1	1	yes	characteristic
92	#11718646	C₂²	1	1	yes	characteristic
93	#11718646	C₂²	1	1	yes	characteristic
94	#11718646	C₂²	1	1	yes	characteristic
95	#11718646	C₂²	1	1	yes	characteristic
96	#11718646	C₂²	1	1	yes	characteristic
97	#11718646	C₂²	1	1	yes	characteristic
98	#11718646	C₂²	1	1	yes	characteristic
99	#11718646	C₂²	1	1	yes	characteristic
100	#11718646	C₂²	1	1	yes	characteristic
101	#11718646	C₂²	1	1	yes	characteristic
102	#11718646	C₂²	1	1	yes	characteristic
103	#11718646	C₂²	1	1	yes	characteristic
104	#11718642	C₂²	1	1	yes	characteristic
105	#11718642	C₂²	1	1	yes	characteristic
106	#11718642	C₂²	1	1	yes	characteristic
107	#11718642	C₂²	1	1	yes	characteristic
108	#11718642	C₂²	1	1	yes	characteristic
109	#11718642	C₂²	1	1	yes	characteristic
110	#11718642	C₂²	1	1	yes	characteristic
111	#11718642	C₂²	1	1	yes	characteristic
112	#11718642	C₂²	1	1	yes	characteristic
113	#11718642	C₂²	1	1	yes	characteristic
114	#11718642	C₂²	1	1	yes	characteristic
115	#11718642	C₂²	1	1	yes	characteristic
116	#11718642	C₂²	1	1	yes	characteristic
117	#11718642	C₂²	1	1	yes	characteristic
118	#11718642	C₂²	1	1	yes	characteristic
119	#11718642	C₂²	1	1	yes	characteristic
120	#11718642	C₂²	1	1	yes	characteristic
121	#11718642	C₂²	1	1	yes	characteristic
122	#11718642	C₂²	1	1	yes	characteristic
123	#11718642	C₂²	1	1	yes	characteristic
124	#11718642	C₂²	1	1	yes	characteristic
125	#11718642	C₂²	1	1	yes	characteristic
126	#11718642	C₂²	1	1	yes	characteristic
127	#11718642	C₂²	1	1	yes	characteristic
128	#11718642	C₂²	1	1	yes	characteristic
129	#11718642	C₂²	1	1	yes	characteristic
130	#11718642	C₂²	1	1	yes	characteristic
131	#11718642	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
140	#11718612	C₂²	1	1	yes	characteristic
141	#11718612	C₂²	1	1	yes	characteristic
142	#11718612	C₂²	1	1	yes	characteristic
143	#11718612	C₂²	1	1	yes	characteristic
144	#11718612	C₂²	1	1	yes	characteristic
145	#11718612	C₂²	1	1	yes	characteristic
146	#11718612	C₂²	1	1	yes	characteristic
147	#11718612	C₂²	1	1	yes	characteristic
148	#11718612	C₂²	1	1	yes	characteristic
149	#11718612	C₂²	1	1	yes	characteristic
150	#11718612	C₂²	1	1	yes	characteristic
151	#11718612	C₂²	1	1	yes	characteristic
152	#11718612	C₂²	1	1	yes	characteristic
153	#11718612	C₂²	1	1	yes	characteristic
154	#11718612	C₂²	1	1	yes	characteristic
155	#11718612	C₂²	1	1	yes	characteristic
156	#11718611	C₂²	1	1	yes	characteristic
157	#11718611	C₂²	1	1	yes	characteristic
158	#11718611	C₂²	1	1	yes	characteristic
159	#11718611	C₂²	1	1	yes	characteristic
160	#11718611	C₂²	1	1	yes	characteristic
161	#11718611	C₂²	1	1	yes	characteristic
162	#11718611	C₂²	1	1	yes	characteristic
163	#11718611	C₂²	1	1	yes	characteristic
164	#11718611	C₂²	1	1	yes	characteristic
165	#11718611	C₂²	1	1	yes	characteristic
166	#11718611	C₂²	1	1	yes	characteristic
167	#11718611	C₂²	1	1	yes	characteristic
168	#11718611	C₂²	1	1	yes	characteristic
169	#11718611	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
177	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
178	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
179	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
180	#11718598	C₂²	1	1	yes	characteristic
181	#11718597	C₂²	1	1	yes	characteristic
182	#11718597	C₂²	1	1	yes	characteristic
183	#11718596	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
187	#11718593	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₁₃×#126	C₂×C₄	1	8	yes	complemented
206	C₁₃×#126	C₂×C₄	1	8	yes	complemented
207	C₁₃×#125	C₂×C₄	1	8	yes	complemented
208	C₁₃×#125	C₂×C₄	1	8	yes	complemented
209	C₁₃×#123	C₂×C₄	1	8	yes	complemented
210	C₁₃×#123	C₂×C₄	1	8	yes	complemented
211	C₁₃×#123	C₂×C₄	1	8	yes	complemented
212	C₁₃×#123	C₂×C₄	1	8	yes	complemented
213	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
214	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
215	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
216	C₁₃×#121	C₂×C₄	1	8	yes	—
217	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
218	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
219	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	—	4	2	no	—
263	D₄×Dic₁₃	—	4	2	no	—
264	D₄×Dic₁₃	—	4	2	no	—
265	D₄×Dic₁₃	—	4	2	no	—
266	D₄×Dic₁₃	—	4	2	no	—
267	D₄×Dic₁₃	—	4	2	no	—
268	#88180	—	4	2	no	—
269	C₂×C₄⋊Dic₁₃	—	4	2	no	—
270	C₂×C₄⋊Dic₁₃	—	4	2	no	—
271	C₂×C₄⋊Dic₁₃	—	4	2	no	—
272	C₂×C₄⋊Dic₁₃	—	4	2	no	—
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	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	—	4	2	no	—
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	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	#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	#34417	—	13	1	no	maximal, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₁₃	—	4	1	no	—
375	C₂×Q₈×C₁₃	—	4	1	no	—
376	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
384	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
385	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	4	1	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	—	4	1	no	—
391	C₂²×C₄×C₁₃	—	4	1	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	—	4	1	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
397	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
398	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
399	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
400	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
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×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	—	2	2	no	—
414	C₂²×Dic₁₃	—	2	2	no	—
415	C₂²×Dic₁₃	—	2	2	no	—
416	C₂²×Dic₁₃	—	2	2	no	—
417	C₂²×Dic₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	4	1	no	—
422	C₂²×Dic₁₃	—	4	1	no	—
423	C₂²×Dic₁₃	—	4	1	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	—	4	1	no	—
426	C₂²×Dic₁₃	—	4	1	no	—
427	C₂²×Dic₁₃	—	4	1	no	—
428	C₂²×Dic₁₃	—	4	1	no	—
429	C₂²×Dic₁₃	—	4	1	no	—
430	C₂²×Dic₁₃	—	4	1	no	—
431	C₂²×Dic₁₃	—	4	1	no	—
432	C₂²×Dic₁₃	—	4	1	no	—
433	C₂²×Dic₁₃	—	4	1	no	—
434	C₂²×Dic₁₃	—	4	1	no	—
435	C₂²×Dic₁₃	—	4	1	no	—
436	C₂²×Dic₁₃	—	4	1	no	—
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
454	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
455	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
456	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
457	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
459	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
460	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
468	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
469	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
470	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
471	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
472	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
473	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
474	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
476	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
477	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
478	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
479	C₂²⋊Dic₁₃	—	2	2	no	—
480	C₂²⋊Dic₁₃	—	2	2	no	—
481	C₂²⋊Dic₁₃	—	2	2	no	—
482	C₂²⋊Dic₁₃	—	2	2	no	—
483	C₂²⋊Dic₁₃	—	2	2	no	—
484	C₂²⋊Dic₁₃	—	2	2	no	—
485	C₂²⋊Dic₁₃	—	4	1	no	—
486	C₂²⋊Dic₁₃	—	4	1	no	—
487	C₂²⋊Dic₁₃	—	4	1	no	—
488	C₂²⋊Dic₁₃	—	4	1	no	—
489	C₂²⋊Dic₁₃	—	4	1	no	—
490	C₂²⋊Dic₁₃	—	4	1	no	—
491	C₂²⋊Dic₁₃	—	4	1	no	—
492	C₂²⋊Dic₁₃	—	4	1	no	—
493	C₂²⋊Dic₁₃	—	4	1	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₄⋊Dic₁₃	—	2	2	no	—
496	C₄⋊Dic₁₃	—	2	2	no	—
497	C₄⋊Dic₁₃	—	2	2	no	—
498	C₄⋊Dic₁₃	—	2	2	no	—
499	C₄⋊Dic₁₃	—	2	2	no	—
500	C₄⋊Dic₁₃	—	2	2	no	—
501	C₄⋊Dic₁₃	—	4	1	no	—
502	C₄⋊Dic₁₃	—	4	1	no	—
503	C₄⋊Dic₁₃	—	4	1	no	—
504	C₄⋊Dic₁₃	—	4	1	no	—
505	C₄⋊Dic₁₃	—	4	1	no	—
506	C₄⋊Dic₁₃	—	4	1	no	—
507	C₄⋊Dic₁₃	—	4	1	no	—
508	C₄⋊Dic₁₃	—	4	1	no	—
509	C₄⋊Dic₁₃	—	4	1	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	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	4	1	no	—
526	C₄×Dic₁₃	—	4	1	no	—
527	C₄×Dic₁₃	—	4	1	no	—
528	C₄×Dic₁₃	—	4	1	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	C₄×Dic₁₃	—	4	1	no	—
531	C₄×Dic₁₃	—	4	1	no	—
532	C₄×Dic₁₃	—	4	1	no	—
533	C₄×Dic₁₃	—	4	1	no	—
534	C₄×Dic₁₃	—	4	1	no	—
535	C₄×Dic₁₃	—	4	1	no	—
536	C₄×Dic₁₃	—	4	1	no	—
537	C₄×Dic₁₃	—	4	1	no	—
538	C₄×Dic₁₃	—	4	1	no	—
539	C₄×Dic₁₃	—	4	1	no	—
540	C₄×Dic₁₃	—	4	1	no	—
541	C₄×Dic₁₃	—	4	1	no	—
542	C₄×Dic₁₃	—	4	1	no	—
543	C₂×#539	D₁₃	1	1	yes	characteristic
544	#2383	—	13	1	no	—
545	#2382	—	13	1	no	—
546	#2378	—	13	1	no	—
547	#2376	—	13	1	no	—
548	#2373	—	13	1	no	—
549	#2370	—	13	1	no	—
550	#2368	—	13	1	no	—
551	#2364	—	13	1	no	—
552	#2361	—	13	1	no	—
553	#2360	—	13	1	no	—
554	#2360	—	13	1	no	—
555	#2359	—	13	1	no	—
556	#2353	—	13	1	no	—
557	#2352	—	13	1	no	—
558	#2349	—	13	1	no	—
559	D₄×C₄⋊C₄	—	13	1	no	—
560	#2336	—	13	1	no	—
561	#2335	—	13	1	no	—
562	#2334	—	13	1	no	—
563	#2334	—	13	1	no	—
564	#2330	—	13	1	no	—
565	#2329	—	13	1	no	—
566	#2323	—	13	1	no	—
567	#2322	—	13	1	no	—
568	#2322	—	13	1	no	—
569	#2322	—	13	1	no	—
570	#2313	—	13	1	no	—
571	C₄×#123	—	13	1	no	—
572	C₄×#123	—	13	1	no	—
573	C₂×#389	—	13	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
591	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
592	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
593	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
594	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
595	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
596	Q₈×C₁₃	—	4	4	no	—
597	D₄×C₁₃	—	2	8	no	—
598	D₄×C₁₃	—	2	8	no	—
599	D₄×C₁₃	—	4	4	no	—
600	C₂×C₄×C₁₃	—	2	8	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	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	4	4	no	—
626	C₂×C₄×C₁₃	—	4	4	no	—
627	C₂×C₄×C₁₃	—	4	4	no	—
628	C₂×C₄×C₁₃	—	4	4	no	—
629	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
630	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
631	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
632	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
633	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
634	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
635	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
636	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
637	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
639	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
640	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
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	—	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	—	4	4	no	—
688	C₂×Dic₁₃	—	4	4	no	—
689	C₂×Dic₁₃	—	8	2	no	—
690	C₂×Dic₁₃	—	8	2	no	—
691	C₂×Dic₁₃	—	8	2	no	—
692	C₂×Dic₁₃	—	8	2	no	—
693	C₂×Dic₁₃	—	8	2	no	—
694	C₂×Dic₁₃	—	8	2	no	—
695	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
696	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
697	#539	Dic₁₃	1	16	yes	complemented
698	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
699	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
700	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
701	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
702	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
703	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
704	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
705	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
706	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
707	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
708	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
709	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
710	C₂×C₄×Q₈	—	13	1	no	—
711	C₂×C₄×D₄	—	13	1	no	—
712	C₂×C₄×D₄	—	13	1	no	—
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	1	no	—
715	C₂×C₄×D₄	—	13	1	no	—
716	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
717	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
718	C₂×#117	—	13	1	no	—
719	C₂²×C₄⋊C₄	—	13	1	no	—
720	C₂²×C₄⋊C₄	—	13	1	no	—
721	C₂²×C₄⋊C₄	—	13	1	no	—
722	C₂²×C₄⋊C₄	—	13	1	no	—
723	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
724	C₂²×C₄²	—	13	1	no	—
725	#391	—	13	1	no	—
726	#391	—	13	1	no	—
727	#391	—	13	1	no	—
728	#390	—	13	1	no	—
729	#389	—	13	1	no	—
730	#389	—	13	1	no	—
731	#389	—	13	1	no	—
732	#389	—	13	1	no	—
733	#389	—	13	1	no	—
734	#389	—	13	1	no	—
735	#389	—	13	1	no	—
736	#389	—	13	1	no	—
737	#389	—	13	1	no	—
738	#389	—	13	1	no	—
739	#389	—	13	1	no	—
740	#389	—	13	1	no	—
741	#389	—	13	1	no	—
742	#389	—	13	1	no	—
743	#389	—	13	1	no	—
744	#389	—	13	1	no	—
745	#389	—	13	1	no	—
746	#389	—	13	1	no	—
747	#389	—	13	1	no	—
748	#389	—	13	1	no	—
749	#388	—	13	1	no	—
750	#388	—	13	1	no	—
751	#388	—	13	1	no	—
752	#388	—	13	1	no	—
753	#388	—	13	1	no	—
754	#388	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
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	#387	—	13	1	no	—
766	#387	—	13	1	no	—
767	#387	—	13	1	no	—
768	#387	—	13	1	no	—
769	#387	—	13	1	no	—
770	#387	—	13	1	no	—
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
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	#386	—	13	1	no	—
794	#386	—	13	1	no	—
795	#386	—	13	1	no	—
796	#386	—	13	1	no	—
797	#386	—	13	1	no	—
798	#386	—	13	1	no	—
799	#385	—	13	1	no	—
800	#385	—	13	1	no	—
801	#385	—	13	1	no	—
802	#385	—	13	1	no	—
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
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	#384	—	13	1	no	—
814	#383	—	13	1	no	—
815	#382	—	13	1	no	—
816	#382	—	13	1	no	—
817	#381	—	13	1	no	—
818	#381	—	13	1	no	—
819	#381	—	13	1	no	—
820	#380	—	13	1	no	—
821	#380	—	13	1	no	—
822	#380	—	13	1	no	—
823	#380	—	13	1	no	—
824	#380	—	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×C₂²⋊C₄	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
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	#376	—	13	1	no	—
850	C₂×#95	—	13	1	no	—
851	C₂×#95	—	13	1	no	—
852	C₂×#95	—	13	1	no	—
853	C₂²×C₁₃	—	2	2	no	—
854	C₂²×C₁₃	—	2	2	no	—
855	C₂²×C₁₃	—	2	2	no	—
856	C₂²×C₁₃	—	2	2	no	—
857	C₂²×C₁₃	—	2	2	no	—
858	C₂²×C₁₃	—	2	2	no	—
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	2	2	no	—
863	C₂²×C₁₃	—	2	2	no	—
864	C₂²×C₁₃	—	2	2	no	—
865	C₂²×C₁₃	—	4	1	no	—
866	C₂²×C₁₃	—	4	1	no	—
867	C₂²×C₁₃	—	4	1	no	—
868	C₂²×C₁₃	—	4	1	no	—
869	C₂²×C₁₃	—	4	1	no	—
870	C₂²×C₁₃	—	4	1	no	—
871	C₂²×C₁₃	—	4	1	no	—
872	C₂²×C₁₃	—	4	1	no	—
873	C₂²×C₁₃	#520	1	4	yes	—
874	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
875	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
876	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
877	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
878	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
879	C₂²×C₁₃	#585	1	1	yes	characteristic
880	C₂²×C₁₃	#585	1	1	yes	characteristic
881	C₄×C₁₃	—	2	2	no	—
882	C₄×C₁₃	—	2	2	no	—
883	C₄×C₁₃	—	2	2	no	—
884	C₄×C₁₃	—	2	2	no	—
885	C₄×C₁₃	—	2	2	no	—
886	C₄×C₁₃	—	2	2	no	—
887	C₄×C₁₃	—	2	2	no	—
888	C₄×C₁₃	—	2	2	no	—
889	C₄×C₁₃	—	2	2	no	—
890	C₄×C₁₃	—	2	2	no	—
891	C₄×C₁₃	—	2	2	no	—
892	C₄×C₁₃	—	2	2	no	—
893	Dic₁₃	—	2	2	no	—
894	Dic₁₃	—	2	2	no	—
895	Dic₁₃	—	4	1	no	—
896	Dic₁₃	—	4	1	no	—
897	Dic₁₃	—	4	1	no	—
898	Dic₁₃	—	4	1	no	—
899	Dic₁₃	—	4	1	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	Dic₁₃	—	4	1	no	—
903	Dic₁₃	—	4	1	no	—
904	Dic₁₃	—	4	1	no	—
905	Dic₁₃	—	4	1	no	—
906	Dic₁₃	—	4	1	no	—
907	Dic₁₃	—	4	1	no	—
908	Dic₁₃	—	4	1	no	—
909	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
910	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
911	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
912	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
913	C₂³×C₄	—	13	1	no	—
914	C₂³×C₄	—	13	1	no	—
915	C₂³×C₄	—	13	1	no	—
916	C₂³×C₄	—	13	1	no	—
917	C₂³×C₄	—	13	1	no	—
918	C₂³×C₄	—	13	1	no	—
919	C₂³×C₄	—	13	1	no	—
920	C₂³×C₄	—	13	1	no	—
921	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
922	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
923	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
924	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
925	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
926	#126	C₂×Dic₁₃	1	8	yes	complemented
927	#126	C₂×Dic₁₃	1	8	yes	complemented
928	#125	C₂×Dic₁₃	1	8	yes	complemented
929	#125	C₂×Dic₁₃	1	8	yes	complemented
930	#123	C₂×Dic₁₃	1	8	yes	complemented
931	#123	C₂×Dic₁₃	1	8	yes	complemented
932	#123	C₂×Dic₁₃	1	8	yes	complemented
933	#123	C₂×Dic₁₃	1	8	yes	complemented
934	C₂²⋊Q₈	C₂×Dic₁₃	1	8	yes	complemented
935	C₂²⋊Q₈	C₂×Dic₁₃	1	8	yes	complemented
936	C₂²⋊Q₈	C₂×Dic₁₃	1	8	yes	complemented
937	#121	C₂×Dic₁₃	1	8	yes	—
938	C₄×Q₈	—	52	2	no	—
939	C₄×D₄	—	52	2	no	—
940	C₄×D₄	—	52	2	no	—
941	C₄×D₄	—	52	2	no	—
942	C₄×D₄	—	52	2	no	—
943	C₄×D₄	—	52	2	no	—
944	C₄×D₄	C₂×Dic₁₃	1	8	yes	complemented
945	C₄×D₄	C₂×Dic₁₃	1	8	yes	complemented
946	#117	—	52	2	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
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	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	52	2	no	—
976	C₂×C₄⋊C₄	—	52	2	no	—
977	C₂×C₄⋊C₄	—	52	2	no	—
978	C₂×C₄⋊C₄	—	52	2	no	—
979	C₂×C₄⋊C₄	C₂×Dic₁₃	1	8	yes	complemented
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₄²	—	13	1	no	—
1021	C₂×C₄²	—	13	1	no	—
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	52	2	no	—
1041	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1042	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
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	C₂×C₁₃	—	2	4	no	—
1092	C₂×C₁₃	—	4	2	no	—
1093	C₂×C₁₃	—	4	2	no	—
1094	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1095	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1096	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1097	C₂×C₁₃	#3534	1	1	yes	characteristic
1098	C₂×C₁₃	#3535	1	1	yes	characteristic
1099	C₂×C₁₃	#3552	1	1	yes	characteristic
1100	C₂×C₁₃	#3553	1	1	yes	characteristic
1101	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1102	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1103	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1104	C₂×Q₈	—	4	1	no	—
1105	C₂×Q₈	—	4	1	no	—
1106	C₂×Q₈	C₂²×Dic₁₃	1	4	yes	—
1107	C₂×D₄	—	2	2	no	—
1108	C₂×D₄	—	2	2	no	—
1109	C₂×D₄	—	2	2	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	4	1	no	—
1112	C₂×D₄	—	4	1	no	—
1113	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1114	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1115	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	13	1	no	—
1127	C₂²×C₄	—	13	1	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	13	1	no	—
1130	C₂²×C₄	—	13	1	no	—
1131	C₂²×C₄	—	13	1	no	—
1132	C₂²×C₄	—	13	1	no	—
1133	C₂²×C₄	—	13	1	no	—
1134	C₂²×C₄	—	13	1	no	—
1135	C₂²×C₄	—	13	1	no	—
1136	C₂²×C₄	—	13	1	no	—
1137	C₂²×C₄	—	13	1	no	—
1138	C₂²×C₄	—	13	1	no	—
1139	C₂²×C₄	—	13	1	no	—
1140	C₂²×C₄	—	13	1	no	—
1141	C₂²×C₄	—	13	1	no	—
1142	C₂²×C₄	—	26	2	no	—
1143	C₂²×C₄	—	26	2	no	—
1144	C₂²×C₄	—	26	2	no	—
1145	C₂²×C₄	—	26	2	no	—
1146	C₂²×C₄	—	26	2	no	—
1147	C₂²×C₄	—	26	2	no	—
1148	C₂²×C₄	—	26	2	no	—
1149	C₂²×C₄	—	26	2	no	—
1150	C₂²×C₄	—	52	1	no	—
1151	C₂²×C₄	—	52	1	no	—
1152	C₂²×C₄	—	52	1	no	—
1153	C₂²×C₄	—	52	1	no	—
1154	C₂²×C₄	—	52	1	no	—
1155	C₂²×C₄	—	52	1	no	—
1156	C₂²×C₄	—	52	1	no	—
1157	C₂²×C₄	—	52	1	no	—
1158	C₂²×C₄	—	52	1	no	—
1159	C₂²×C₄	—	52	1	no	—
1160	C₂²×C₄	—	52	1	no	—
1161	C₂²×C₄	—	52	1	no	—
1162	C₂²×C₄	—	52	1	no	—
1163	C₂²×C₄	—	52	1	no	—
1164	C₂²×C₄	—	52	1	no	—
1165	C₂²×C₄	—	52	1	no	—
1166	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1167	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1168	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1169	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1170	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1171	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	—	26	2	no	—
1184	C₄⋊C₄	—	26	2	no	—
1185	C₄⋊C₄	—	26	2	no	—
1186	C₄⋊C₄	—	26	2	no	—
1187	C₄⋊C₄	—	26	2	no	—
1188	C₄⋊C₄	—	26	2	no	—
1189	C₄⋊C₄	—	52	1	no	—
1190	C₄⋊C₄	—	52	1	no	—
1191	C₄⋊C₄	—	52	1	no	—
1192	C₄⋊C₄	—	52	1	no	—
1193	C₄⋊C₄	—	52	1	no	—
1194	C₄⋊C₄	—	52	1	no	—
1195	C₄⋊C₄	—	52	1	no	—
1196	C₄⋊C₄	—	52	1	no	—
1197	C₄⋊C₄	—	52	1	no	—
1198	C₄⋊C₄	—	52	1	no	—
1199	C₄⋊C₄	—	52	1	no	—
1200	C₄⋊C₄	—	52	1	no	—
1201	C₄⋊C₄	—	52	1	no	—
1202	C₄⋊C₄	—	52	1	no	—
1203	C₄⋊C₄	—	52	1	no	—
1204	C₄⋊C₄	—	52	1	no	—
1205	C₄⋊C₄	—	52	1	no	—
1206	C₄⋊C₄	—	52	1	no	—
1207	C₄⋊C₄	—	52	1	no	—
1208	C₄⋊C₄	—	52	1	no	—
1209	C₄⋊C₄	—	52	1	no	—
1210	C₄⋊C₄	—	52	1	no	—
1211	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1212	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1213	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1214	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1215	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1216	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1217	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1218	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1219	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1220	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1221	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1222	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1223	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1224	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1225	C₂²⋊C₄	—	26	2	no	—
1226	C₂²⋊C₄	—	26	2	no	—
1227	C₂²⋊C₄	—	26	2	no	—
1228	C₂²⋊C₄	—	26	2	no	—
1229	C₂²⋊C₄	—	26	2	no	—
1230	C₂²⋊C₄	—	26	2	no	—
1231	C₂²⋊C₄	—	52	1	no	—
1232	C₂²⋊C₄	—	52	1	no	—
1233	C₂²⋊C₄	—	52	1	no	—
1234	C₂²⋊C₄	—	52	1	no	—
1235	C₂²⋊C₄	—	52	1	no	—
1236	C₂²⋊C₄	—	52	1	no	—
1237	C₂²⋊C₄	—	52	1	no	—
1238	C₂²⋊C₄	—	52	1	no	—
1239	C₂²⋊C₄	—	52	1	no	—
1240	C₂²⋊C₄	—	52	1	no	—
1241	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1242	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1243	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1244	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1246	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1247	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1248	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1249	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1250	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1251	C₄²	—	26	2	no	—
1252	C₄²	—	26	2	no	—
1253	C₄²	—	52	1	no	—
1254	C₄²	—	52	1	no	—
1255	C₄²	—	52	1	no	—
1256	C₄²	—	52	1	no	—
1257	C₄²	—	52	1	no	—
1258	C₄²	—	52	1	no	—
1259	C₄²	—	52	1	no	—
1260	C₄²	—	52	1	no	—
1261	C₄²	—	52	1	no	—
1262	C₄²	—	52	1	no	—
1263	C₄²	—	52	1	no	—
1264	C₄²	—	52	1	no	—
1265	C₄²	—	52	1	no	—
1266	C₄²	—	52	1	no	—
1267	C₄²	—	52	1	no	—
1268	C₄²	—	52	1	no	—
1269	C₄²	—	52	1	no	—
1270	C₄²	—	52	1	no	—
1271	C₄²	C₂²×Dic₁₃	1	4	yes	—
1272	C₄²	C₂²×Dic₁₃	1	4	yes	—
1273	C₁₃	#34417	1	1	yes	characteristic, complemented, Sylow
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	#88256	1	2	yes	—
1291	C₂³	#88257	1	2	yes	—
1292	C₂³	C₂³×Dic₁₃	1	2	yes	—
1293	C₂³	C₂³×Dic₁₃	1	2	yes	—
1294	C₂³	C₂³×Dic₁₃	1	2	yes	—
1295	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1296	Q₈	—	4	4	no	—
1297	D₄	—	2	8	no	—
1298	D₄	—	2	8	no	—
1299	D₄	—	4	4	no	—
1300	C₂×C₄	—	2	8	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	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	4	4	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	13	2	no	—
1330	C₂×C₄	—	13	2	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	—	26	1	no	—
1356	C₂×C₄	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	52	4	no	—
1378	C₂×C₄	—	52	4	no	—
1379	C₂×C₄	—	104	2	no	—
1380	C₂×C₄	—	104	2	no	—
1381	C₂×C₄	—	104	2	no	—
1382	C₂×C₄	—	104	2	no	—
1383	C₂×C₄	—	104	2	no	—
1384	C₂×C₄	—	104	2	no	—
1385	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1386	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1387	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1388	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1389	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1390	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1391	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1392	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1393	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1394	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1395	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1396	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	2	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	#11719532	1	4	yes	—
1418	C₂²	C₂×#88256	1	1	yes	characteristic
1419	C₂²	C₂×#88257	1	1	yes	characteristic
1420	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1421	C₂²	#11719650	1	1	yes	characteristic
1422	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1423	C₂²	#11719652	1	1	yes	characteristic
1424	C₂²	C₂⁴×Dic₁₃	1	1	yes	characteristic
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	2	2	no	—
1429	C₄	—	2	2	no	—
1430	C₄	—	2	2	no	—
1431	C₄	—	2	2	no	—
1432	C₄	—	2	2	no	—
1433	C₄	—	2	2	no	—
1434	C₄	—	2	2	no	—
1435	C₄	—	2	2	no	—
1436	C₄	—	2	2	no	—
1437	C₄	—	26	2	no	—
1438	C₄	—	26	2	no	—
1439	C₄	—	52	1	no	—
1440	C₄	—	52	1	no	—
1441	C₄	—	52	1	no	—
1442	C₄	—	52	1	no	—
1443	C₄	—	52	1	no	—
1444	C₄	—	52	1	no	—
1445	C₄	—	52	1	no	—
1446	C₄	—	52	1	no	—
1447	C₄	—	52	1	no	—
1448	C₄	—	52	1	no	—
1449	C₄	—	52	1	no	—
1450	C₄	—	52	1	no	—
1451	C₄	—	52	1	no	—
1452	C₄	—	52	1	no	—
1453	C₂	—	2	4	no	—
1454	C₂	—	4	2	no	—
1455	C₂	—	4	2	no	—
1456	C₂	C₂×#11719532	1	1	yes	characteristic
1457	C₂	H(5,𝔽₂)×Dic₁₃	1	1	yes	characteristic
1458	C₂	2₋¹⁺⁴×Dic₁₃	1	1	yes	characteristic
1459	C₂	#13129024	1	1	yes	characteristic
1460	C₂	#13129043	1	1	yes	characteristic
1461	C₂	#13129269	1	1	yes	characteristic
1462	C₂	#13129286	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₂×C₁₃×#539	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×C₁₃×#121	C₂²
hypercenter	C₂×#539	D₁₃
hypocenter	C₁₃	#34417
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. #13118028	C₂	semidirect
2. #13118022	C₂	semidirect
3. #13118002	C₂	semidirect
4. #13117984	C₂	semidirect
5. #13117960	C₂	semidirect
6. #13117936	C₂	semidirect
7. #13117921	C₂	semidirect
10. #13117845	C₂	semidirect
11. #13117845	C₂	semidirect
12. #13117832	C₂	semidirect
13. #13117776	C₂	semidirect
14. #13117765	C₂	semidirect
15. #13117746	C₂	semidirect
16. D₄×C₄⋊Dic₁₃	C₂	semidirect
17. #13117642	C₂	semidirect
18. #13117630	C₂	semidirect
19. #13117615	C₂	semidirect
20. #13117615	C₂	semidirect
21. #13117578	C₂	semidirect
22. #13117571	C₂	semidirect
23. #13117520	C₂	semidirect
24. #13117508	C₂	semidirect
25. #13117508	C₂	semidirect
26. #13117508	C₂	semidirect
27. #13117439	C₂	semidirect
28. #123×Dic₁₃	C₂	semidirect
29. #123×Dic₁₃	C₂	semidirect
30. C₂×#11718646	C₂	semidirect
32. C₁₃×#539	C₄	semidirect
205. C₁₃×#126	C₂×C₄	semidirect
206. C₁₃×#126	C₂×C₄	semidirect
207. C₁₃×#125	C₂×C₄	semidirect
208. C₁₃×#125	C₂×C₄	semidirect
209. C₁₃×#123	C₂×C₄	semidirect
210. C₁₃×#123	C₂×C₄	semidirect
211. C₁₃×#123	C₂×C₄	semidirect
212. C₁₃×#123	C₂×C₄	semidirect
213. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
214. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
215. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
217. C₄×D₄×C₁₃	C₂×C₄	semidirect
218. C₄×D₄×C₁₃	C₂×C₄	semidirect
219. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
697. #539	Dic₁₃	semidirect
926. #126	C₂×Dic₁₃	semidirect
927. #126	C₂×Dic₁₃	semidirect
928. #125	C₂×Dic₁₃	semidirect
929. #125	C₂×Dic₁₃	semidirect
930. #123	C₂×Dic₁₃	semidirect
931. #123	C₂×Dic₁₃	semidirect
932. #123	C₂×Dic₁₃	semidirect
933. #123	C₂×Dic₁₃	semidirect
934. C₂²⋊Q₈	C₂×Dic₁₃	semidirect
935. C₂²⋊Q₈	C₂×Dic₁₃	semidirect
936. C₂²⋊Q₈	C₂×Dic₁₃	semidirect
944. C₄×D₄	C₂×Dic₁₃	semidirect
945. C₄×D₄	C₂×Dic₁₃	semidirect
979. C₂×C₄⋊C₄	C₂×Dic₁₃	semidirect
1273. C₁₃	#34417	semidirect

Maximal subgroups

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

subgroup	index
#13118028	2
#13118022	2
#13118002	2
#13117984	2
#13117960	2
#13117936	2
#13117921	2
#13117888	2
#13117856	2
#13117845	2
#13117832	2
#13117776	2
#13117765	2
#13117746	2
D₄×C₄⋊Dic₁₃	2
#13117642	2
#13117630	2
#13117615	2
#13117578	2
#13117571	2
#13117520	2
#13117508	2
#13117439	2
#123×Dic₁₃	2
C₂×#11718646	2
C₂×C₁₃×#539	2
#34417	13