Subgroups — #16026465

Order 3328.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 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	#13118010	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117993	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	#13117921	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117911	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117888	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117856	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117856	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	#13117651	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	#13117549	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117541	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117531	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117508	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117497	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117497	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117434	C₂	1	1	yes	maximal, characteristic, complemented
28	#120×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#120×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718611	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#538	C₂	1	1	yes	maximal, characteristic
32	C₂⁴×Dic₁₃	C₂²	1	1	yes	characteristic
33	C₁₃×#538	C₄	1	16	yes	complemented
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#124	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
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×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
55	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
56	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
57	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
58	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
59	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
62	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
63	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
64	#11718908	C₂²	1	1	yes	characteristic
65	#11718908	C₂²	1	1	yes	characteristic
66	#11718891	C₂²	1	1	yes	characteristic, complemented
67	#11718891	C₂²	1	1	yes	characteristic, complemented
68	#11718891	C₂²	1	1	yes	characteristic, complemented
69	#11718882	C₂²	1	1	yes	characteristic
70	#11718882	C₂²	1	1	yes	characteristic
71	#11718882	C₂²	1	1	yes	characteristic
72	#11718882	C₂²	1	1	yes	characteristic
73	#11718882	C₂²	1	1	yes	characteristic, complemented
74	#11718881	C₂²	1	1	yes	characteristic
75	#11718881	C₂²	1	1	yes	characteristic
76	#11718881	C₂²	1	1	yes	characteristic
77	#11718881	C₂²	1	1	yes	characteristic
78	#11718881	C₂²	1	1	yes	characteristic
79	#11718881	C₂²	1	1	yes	characteristic
80	#11718881	C₂²	1	1	yes	characteristic
81	#11718881	C₂²	1	1	yes	characteristic
82	#11718881	C₂²	1	1	yes	characteristic
83	#11718881	C₂²	1	1	yes	characteristic
84	#11718881	C₂²	1	1	yes	characteristic
85	#11718881	C₂²	1	1	yes	characteristic
86	#11718881	C₂²	1	1	yes	characteristic, complemented
87	#11718881	C₂²	1	1	yes	characteristic, complemented
88	#11718873	C₂²	1	1	yes	characteristic
89	#11718873	C₂²	1	1	yes	characteristic
90	#11718873	C₂²	1	1	yes	characteristic, complemented
91	#11718873	C₂²	1	1	yes	characteristic, complemented
92	#11718873	C₂²	1	1	yes	characteristic, complemented
93	#11718872	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
95	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
96	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88071	C₂²	1	1	yes	characteristic
98	C₂×#88071	C₂²	1	1	yes	characteristic
99	C₂×#88071	C₂²	1	1	yes	characteristic, complemented
100	#11718646	C₂²	1	1	yes	characteristic, complemented
101	#11718646	C₂²	1	1	yes	characteristic, complemented
102	#11718646	C₂²	1	1	yes	characteristic, complemented
103	#11718646	C₂²	1	1	yes	characteristic, complemented
104	#11718646	C₂²	1	1	yes	characteristic, complemented
105	#11718646	C₂²	1	1	yes	characteristic, complemented
106	#11718646	C₂²	1	1	yes	characteristic, complemented
107	#11718646	C₂²	1	1	yes	characteristic, complemented
108	#11718642	C₂²	1	1	yes	characteristic, complemented
109	#11718642	C₂²	1	1	yes	characteristic, complemented
110	#11718642	C₂²	1	1	yes	characteristic, complemented
111	#11718642	C₂²	1	1	yes	characteristic, complemented
112	#11718642	C₂²	1	1	yes	characteristic, complemented
113	#11718642	C₂²	1	1	yes	characteristic, complemented
114	#11718642	C₂²	1	1	yes	characteristic, complemented
115	#11718642	C₂²	1	1	yes	characteristic, complemented
116	#11718642	C₂²	1	1	yes	characteristic, complemented
117	#11718642	C₂²	1	1	yes	characteristic, complemented
118	#11718642	C₂²	1	1	yes	characteristic, complemented
119	#11718642	C₂²	1	1	yes	characteristic, complemented
120	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
121	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
122	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
124	#11718612	C₂²	1	1	yes	characteristic
125	#11718612	C₂²	1	1	yes	characteristic
126	#11718612	C₂²	1	1	yes	characteristic
127	#11718612	C₂²	1	1	yes	characteristic
128	#11718612	C₂²	1	1	yes	characteristic
129	#11718612	C₂²	1	1	yes	characteristic
130	#11718612	C₂²	1	1	yes	characteristic
131	#11718612	C₂²	1	1	yes	characteristic
132	#11718612	C₂²	1	1	yes	characteristic
133	#11718612	C₂²	1	1	yes	characteristic
134	#11718612	C₂²	1	1	yes	characteristic
135	#11718612	C₂²	1	1	yes	characteristic
136	#11718612	C₂²	1	1	yes	characteristic
137	#11718612	C₂²	1	1	yes	characteristic
138	#11718612	C₂²	1	1	yes	characteristic
139	#11718612	C₂²	1	1	yes	characteristic
140	#11718612	C₂²	1	1	yes	characteristic, complemented
141	#11718612	C₂²	1	1	yes	characteristic, complemented
142	#11718612	C₂²	1	1	yes	characteristic, complemented
143	#11718612	C₂²	1	1	yes	characteristic, complemented
144	#11718612	C₂²	1	1	yes	characteristic, complemented
145	#11718612	C₂²	1	1	yes	characteristic, complemented
146	#11718612	C₂²	1	1	yes	characteristic, complemented
147	#11718612	C₂²	1	1	yes	characteristic, complemented
148	#11718611	C₂²	1	1	yes	characteristic
149	#11718611	C₂²	1	1	yes	characteristic
150	#11718611	C₂²	1	1	yes	characteristic
151	#11718611	C₂²	1	1	yes	characteristic
152	#11718611	C₂²	1	1	yes	characteristic
153	#11718611	C₂²	1	1	yes	characteristic
154	#11718611	C₂²	1	1	yes	characteristic
155	#11718611	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, complemented
165	#11718611	C₂²	1	1	yes	characteristic, complemented
166	#11718611	C₂²	1	1	yes	characteristic, complemented
167	#11718611	C₂²	1	1	yes	characteristic, complemented
168	#11718611	C₂²	1	1	yes	characteristic, complemented
169	#11718611	C₂²	1	1	yes	characteristic, complemented
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, complemented
179	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
180	#11718598	C₂²	1	1	yes	characteristic, complemented
181	#11718597	C₂²	1	1	yes	characteristic, complemented
182	#11718597	C₂²	1	1	yes	characteristic, complemented
183	#11718596	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
187	#11718593	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×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	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₁₃	—	4	2	no	—
202	C₂³×Dic₁₃	—	4	2	no	—
203	C₂³×Dic₁₃	—	4	2	no	—
204	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
206	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
207	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
208	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
210	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
211	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
212	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
213	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
214	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
215	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
216	C₁₃×#126	C₂×C₄	1	8	yes	complemented
217	C₁₃×#126	C₂×C₄	1	8	yes	complemented
218	C₁₃×#124	C₂×C₄	1	8	yes	complemented
219	C₁₃×#124	C₂×C₄	1	8	yes	complemented
220	C₁₃×#123	C₂×C₄	1	8	yes	complemented
221	C₁₃×#123	C₂×C₄	1	8	yes	complemented
222	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
223	C₁₃×#121	C₂×C₄	1	8	yes	complemented
224	C₁₃×#121	C₂×C₄	1	8	yes	complemented
225	C₁₃×#121	C₂×C₄	1	8	yes	complemented
226	C₁₃×#120	C₂×C₄	1	8	yes	complemented
227	C₁₃×#120	C₂×C₄	1	8	yes	complemented
228	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
229	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
282	Q₈×Dic₁₃	—	4	2	no	—
283	D₄×Dic₁₃	—	4	2	no	—
284	D₄×Dic₁₃	—	4	2	no	—
285	D₄×Dic₁₃	—	4	2	no	—
286	D₄×Dic₁₃	—	4	2	no	—
287	D₄×Dic₁₃	—	4	2	no	—
288	D₄×Dic₁₃	—	4	2	no	—
289	D₄×Dic₁₃	—	4	2	no	—
290	D₄×Dic₁₃	—	4	2	no	—
291	D₄×Dic₁₃	—	4	2	no	—
292	#88180	—	4	2	no	—
293	C₂×C₄⋊Dic₁₃	—	4	2	no	—
294	C₂×C₄⋊Dic₁₃	—	4	2	no	—
295	C₂×C₄⋊Dic₁₃	—	4	2	no	—
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	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₄×Dic₁₃	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	#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	#34416	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	—	2	2	no	—
378	C₂⁴×C₁₃	—	2	2	no	—
379	C₂⁴×C₁₃	—	4	1	no	—
380	C₂⁴×C₁₃	—	4	1	no	—
381	C₂⁴×C₁₃	—	4	1	no	—
382	C₂⁴×C₁₃	—	4	1	no	—
383	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
384	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×Q₈×C₁₃	—	4	1	no	—
390	C₂×Q₈×C₁₃	—	4	1	no	—
391	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	4	1	no	—
397	C₂×D₄×C₁₃	—	4	1	no	—
398	C₂×D₄×C₁₃	—	4	1	no	—
399	C₂×D₄×C₁₃	—	4	1	no	—
400	C₂×D₄×C₁₃	—	4	1	no	—
401	C₂×D₄×C₁₃	—	4	1	no	—
402	C₂×D₄×C₁₃	—	4	1	no	—
403	C₂×D₄×C₁₃	—	4	1	no	—
404	C₂×D₄×C₁₃	—	4	1	no	—
405	C₂×D₄×C₁₃	—	4	1	no	—
406	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
407	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
408	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
409	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
410	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
411	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
412	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	complemented
413	C₂²×C₄×C₁₃	—	4	1	no	—
414	C₂²×C₄×C₁₃	—	4	1	no	—
415	C₂²×C₄×C₁₃	—	4	1	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	—	4	1	no	—
418	C₂²×C₄×C₁₃	—	4	1	no	—
419	C₂²×C₄×C₁₃	—	4	1	no	—
420	C₂²×C₄×C₁₃	—	4	1	no	—
421	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
422	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
423	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
424	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
425	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	—	2	2	no	—
436	C₂²×Dic₁₃	—	2	2	no	—
437	C₂²×Dic₁₃	—	2	2	no	—
438	C₂²×Dic₁₃	—	2	2	no	—
439	C₂²×Dic₁₃	—	2	2	no	—
440	C₂²×Dic₁₃	—	2	2	no	—
441	C₂²×Dic₁₃	—	2	2	no	—
442	C₂²×Dic₁₃	—	2	2	no	—
443	C₂²×Dic₁₃	—	2	2	no	—
444	C₂²×Dic₁₃	—	2	2	no	—
445	C₂²×Dic₁₃	—	2	2	no	—
446	C₂²×Dic₁₃	—	2	2	no	—
447	C₂²×Dic₁₃	—	4	1	no	—
448	C₂²×Dic₁₃	—	4	1	no	—
449	C₂²×Dic₁₃	—	4	1	no	—
450	C₂²×Dic₁₃	—	4	1	no	—
451	C₂²×Dic₁₃	—	4	1	no	—
452	C₂²×Dic₁₃	—	4	1	no	—
453	C₂²×Dic₁₃	—	4	1	no	—
454	C₂²×Dic₁₃	—	4	1	no	—
455	C₂²×Dic₁₃	—	4	1	no	—
456	C₂²×Dic₁₃	—	4	1	no	—
457	C₂²×Dic₁₃	—	4	1	no	—
458	C₂²×Dic₁₃	—	4	1	no	—
459	C₂²×Dic₁₃	—	4	1	no	—
460	C₂²×Dic₁₃	—	4	1	no	—
461	C₂²×Dic₁₃	—	4	1	no	—
462	C₂²×Dic₁₃	—	4	1	no	—
463	C₂²×Dic₁₃	—	4	1	no	—
464	C₂²×Dic₁₃	—	4	1	no	—
465	C₂²×Dic₁₃	—	4	1	no	—
466	C₂²×Dic₁₃	—	4	1	no	—
467	C₂²×Dic₁₃	—	4	1	no	—
468	C₂²×Dic₁₃	—	4	1	no	—
469	C₂²×Dic₁₃	—	4	1	no	—
470	C₂²×Dic₁₃	—	4	1	no	—
471	C₂²×Dic₁₃	—	4	16	no	—
472	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
474	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
475	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
476	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
477	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
478	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
479	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
480	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
481	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
482	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
483	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
484	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
485	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
486	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
487	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
488	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
489	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
490	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
491	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
492	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
493	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
494	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
495	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
496	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
497	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
498	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
499	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
500	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
501	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
502	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
503	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
504	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
505	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
506	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
507	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
508	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
509	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
510	C₂²⋊Dic₁₃	—	2	2	no	—
511	C₂²⋊Dic₁₃	—	2	2	no	—
512	C₂²⋊Dic₁₃	—	2	2	no	—
513	C₂²⋊Dic₁₃	—	2	2	no	—
514	C₂²⋊Dic₁₃	—	2	2	no	—
515	C₂²⋊Dic₁₃	—	2	2	no	—
516	C₂²⋊Dic₁₃	—	4	1	no	—
517	C₂²⋊Dic₁₃	—	4	1	no	—
518	C₂²⋊Dic₁₃	—	4	1	no	—
519	C₂²⋊Dic₁₃	—	4	1	no	—
520	C₂²⋊Dic₁₃	—	4	1	no	—
521	C₂²⋊Dic₁₃	—	4	1	no	—
522	C₂²⋊Dic₁₃	—	4	1	no	—
523	C₂²⋊Dic₁₃	—	4	1	no	—
524	C₂²⋊Dic₁₃	—	4	1	no	—
525	C₂²⋊Dic₁₃	—	4	1	no	—
526	C₂²⋊Dic₁₃	—	4	1	no	—
527	C₂²⋊Dic₁₃	—	4	1	no	—
528	C₂²⋊Dic₁₃	—	4	1	no	—
529	C₂²⋊Dic₁₃	—	4	1	no	—
530	C₂²⋊Dic₁₃	—	4	1	no	—
531	C₂²⋊Dic₁₃	—	4	1	no	—
532	C₂²⋊Dic₁₃	—	4	1	no	—
533	C₂²⋊Dic₁₃	—	4	1	no	—
534	C₂²⋊Dic₁₃	—	4	1	no	—
535	C₂²⋊Dic₁₃	—	4	1	no	—
536	C₂²⋊Dic₁₃	—	4	1	no	—
537	C₂²⋊Dic₁₃	—	4	1	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	—	4	1	no	—
545	C₄⋊Dic₁₃	—	4	1	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	—	4	1	no	—
556	C₄⋊Dic₁₃	—	4	1	no	—
557	C₄⋊Dic₁₃	—	4	1	no	—
558	C₄⋊Dic₁₃	—	4	1	no	—
559	C₄⋊Dic₁₃	—	4	1	no	—
560	C₄⋊Dic₁₃	—	4	1	no	—
561	C₄⋊Dic₁₃	—	4	1	no	—
562	C₄×Dic₁₃	—	2	2	no	—
563	C₄×Dic₁₃	—	2	2	no	—
564	C₄×Dic₁₃	—	4	1	no	—
565	C₄×Dic₁₃	—	4	1	no	—
566	C₄×Dic₁₃	—	4	1	no	—
567	C₄×Dic₁₃	—	4	1	no	—
568	C₄×Dic₁₃	—	4	1	no	—
569	C₄×Dic₁₃	—	4	1	no	—
570	C₄×Dic₁₃	—	4	1	no	—
571	C₄×Dic₁₃	—	4	1	no	—
572	C₄×Dic₁₃	—	4	1	no	—
573	C₄×Dic₁₃	—	4	1	no	—
574	C₄×Dic₁₃	—	4	1	no	—
575	C₄×Dic₁₃	—	4	1	no	—
576	C₄×Dic₁₃	—	4	1	no	—
577	C₄×Dic₁₃	—	4	1	no	—
578	C₂×#538	D₁₃	1	1	yes	characteristic
579	#2383	—	13	1	no	—
580	#2379	—	13	1	no	—
581	#2377	—	13	1	no	—
582	#2376	—	13	1	no	—
583	#2373	—	13	1	no	—
584	#2368	—	13	1	no	—
585	#2367	—	13	1	no	—
586	#2364	—	13	1	no	—
587	#2361	—	13	1	no	—
588	#2361	—	13	1	no	—
589	#2360	—	13	1	no	—
590	#2359	—	13	1	no	—
591	#2353	—	13	1	no	—
592	#2352	—	13	1	no	—
593	#2349	—	13	1	no	—
594	D₄×C₄⋊C₄	—	13	1	no	—
595	#2337	—	13	1	no	—
596	#2335	—	13	1	no	—
597	#2334	—	13	1	no	—
598	#2334	—	13	1	no	—
599	#2326	—	13	1	no	—
600	#2325	—	13	1	no	—
601	#2324	—	13	1	no	—
602	#2322	—	13	1	no	—
603	#2321	—	13	1	no	—
604	#2321	—	13	1	no	—
605	#2312	—	13	1	no	—
606	C₄×#120	—	13	1	no	—
607	C₄×#120	—	13	1	no	—
608	C₂×#385	—	13	1	no	—
609	C₂³×C₁₃	—	2	1	no	—
610	C₂³×C₁₃	—	2	1	no	—
611	C₂³×C₁₃	—	2	1	no	—
612	C₂³×C₁₃	—	2	1	no	—
613	C₂³×C₁₃	—	2	8	no	—
614	C₂³×C₁₃	—	2	1	no	—
615	C₂³×C₁₃	—	2	1	no	—
616	C₂³×C₁₃	—	2	1	no	—
617	C₂³×C₁₃	—	2	1	no	—
618	C₂³×C₁₃	—	2	1	no	—
619	C₂³×C₁₃	—	2	1	no	—
620	C₂³×C₁₃	—	2	1	no	—
621	C₂³×C₁₃	—	2	1	no	—
622	C₂³×C₁₃	—	2	1	no	—
623	C₂³×C₁₃	—	2	1	no	—
624	C₂³×C₁₃	—	2	1	no	—
625	C₂³×C₁₃	—	2	1	no	—
626	C₂³×C₁₃	—	2	1	no	—
627	C₂³×C₁₃	—	2	1	no	—
628	C₂³×C₁₃	—	2	1	no	—
629	C₂³×C₁₃	—	2	1	no	—
630	C₂³×C₁₃	—	2	1	no	—
631	C₂³×C₁₃	—	2	1	no	—
632	C₂³×C₁₃	—	2	1	no	—
633	C₂³×C₁₃	—	2	1	no	—
634	C₂³×C₁₃	—	2	1	no	—
635	C₂³×C₁₃	—	2	1	no	—
636	C₂³×C₁₃	—	2	1	no	—
637	C₂³×C₁₃	—	2	1	no	—
638	C₂³×C₁₃	—	4	4	no	—
639	C₂³×C₁₃	—	4	4	no	—
640	C₂³×C₁₃	—	4	4	no	—
641	C₂³×C₁₃	—	4	4	no	—
642	C₂³×C₁₃	—	4	4	no	—
643	C₂³×C₁₃	—	4	4	no	—
644	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
645	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
646	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
647	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
648	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
649	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
650	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
651	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
652	Q₈×C₁₃	—	4	4	no	—
653	D₄×C₁₃	—	2	8	no	—
654	D₄×C₁₃	—	2	8	no	—
655	D₄×C₁₃	—	4	4	no	—
656	D₄×C₁₃	—	4	4	no	—
657	D₄×C₁₃	—	4	4	no	—
658	D₄×C₁₃	—	4	4	no	—
659	D₄×C₁₃	—	4	4	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	4	4	no	—
681	C₂×C₄×C₁₃	—	4	4	no	—
682	C₂×C₄×C₁₃	—	4	4	no	—
683	C₂×C₄×C₁₃	—	4	4	no	—
684	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
685	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
686	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
687	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
688	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
689	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
690	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
691	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
692	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
693	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	2	1	no	—
714	C₂×Dic₁₃	—	2	1	no	—
715	C₂×Dic₁₃	—	2	1	no	—
716	C₂×Dic₁₃	—	2	1	no	—
717	C₂×Dic₁₃	—	2	1	no	—
718	C₂×Dic₁₃	—	2	1	no	—
719	C₂×Dic₁₃	—	2	1	no	—
720	C₂×Dic₁₃	—	2	1	no	—
721	C₂×Dic₁₃	—	2	1	no	—
722	C₂×Dic₁₃	—	2	1	no	—
723	C₂×Dic₁₃	—	2	1	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	2	1	no	—
728	C₂×Dic₁₃	—	2	1	no	—
729	C₂×Dic₁₃	—	2	1	no	—
730	C₂×Dic₁₃	—	2	1	no	—
731	C₂×Dic₁₃	—	2	1	no	—
732	C₂×Dic₁₃	—	2	1	no	—
733	C₂×Dic₁₃	—	2	1	no	—
734	C₂×Dic₁₃	—	2	1	no	—
735	C₂×Dic₁₃	—	2	1	no	—
736	C₂×Dic₁₃	—	2	1	no	—
737	C₂×Dic₁₃	—	2	1	no	—
738	C₂×Dic₁₃	—	2	1	no	—
739	C₂×Dic₁₃	—	2	1	no	—
740	C₂×Dic₁₃	—	4	4	no	—
741	C₂×Dic₁₃	—	4	4	no	—
742	C₂×Dic₁₃	—	4	4	no	—
743	C₂×Dic₁₃	—	4	4	no	—
744	C₂×Dic₁₃	—	4	4	no	—
745	C₂×Dic₁₃	—	4	4	no	—
746	C₂×Dic₁₃	—	8	2	no	—
747	C₂×Dic₁₃	—	8	2	no	—
748	C₂×Dic₁₃	—	8	2	no	—
749	C₂×Dic₁₃	—	8	2	no	—
750	C₂×Dic₁₃	—	8	2	no	—
751	C₂×Dic₁₃	—	8	2	no	—
752	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
753	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
754	C₂⁴×C₄	—	13	1	no	—
755	#538	Dic₁₃	1	16	yes	complemented
756	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
757	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
758	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
759	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
760	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
761	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
762	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
763	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
764	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
765	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
766	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
767	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
768	C₂×C₄×Q₈	—	13	1	no	—
769	C₂×C₄×D₄	—	13	1	no	—
770	C₂×C₄×D₄	—	13	1	no	—
771	C₂×C₄×D₄	—	13	1	no	—
772	C₂×C₄×D₄	—	13	1	no	—
773	C₂×C₄×D₄	—	13	1	no	—
774	C₂×C₄×D₄	—	13	1	no	—
775	C₂×C₄×D₄	—	13	1	no	—
776	C₂×C₄×D₄	—	13	1	no	—
777	C₂×C₄×D₄	—	13	1	no	—
778	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
779	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
780	C₂×#117	—	13	1	no	—
781	C₂²×C₄⋊C₄	—	13	1	no	—
782	C₂²×C₄⋊C₄	—	13	1	no	—
783	C₂²×C₄⋊C₄	—	13	1	no	—
784	C₂²×C₂²⋊C₄	—	13	1	no	—
785	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
786	#391	—	13	1	no	—
787	#391	—	13	1	no	—
788	#391	—	13	1	no	—
789	#390	—	13	1	no	—
790	#390	—	13	1	no	—
791	#390	—	13	1	no	—
792	#390	—	13	1	no	—
793	#390	—	13	1	no	—
794	#389	—	13	1	no	—
795	#389	—	13	1	no	—
796	#389	—	13	1	no	—
797	#389	—	13	1	no	—
798	#389	—	13	1	no	—
799	#389	—	13	1	no	—
800	#389	—	13	1	no	—
801	#389	—	13	1	no	—
802	#388	—	13	1	no	—
803	#388	—	13	1	no	—
804	#388	—	13	1	no	—
805	#388	—	13	1	no	—
806	#388	—	13	1	no	—
807	#388	—	13	1	no	—
808	#388	—	13	1	no	—
809	#388	—	13	1	no	—
810	#388	—	13	1	no	—
811	#388	—	13	1	no	—
812	#388	—	13	1	no	—
813	#388	—	13	1	no	—
814	#388	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#388	—	13	1	no	—
818	#388	—	13	1	no	—
819	#388	—	13	1	no	—
820	#388	—	13	1	no	—
821	#388	—	13	1	no	—
822	#388	—	13	1	no	—
823	#388	—	13	1	no	—
824	#388	—	13	1	no	—
825	#388	—	13	1	no	—
826	#387	—	13	1	no	—
827	#387	—	13	1	no	—
828	#387	—	13	1	no	—
829	#387	—	13	1	no	—
830	#387	—	13	1	no	—
831	#387	—	13	1	no	—
832	#387	—	13	1	no	—
833	#387	—	13	1	no	—
834	#387	—	13	1	no	—
835	#387	—	13	1	no	—
836	#387	—	13	1	no	—
837	#387	—	13	1	no	—
838	#386	—	13	1	no	—
839	#386	—	13	1	no	—
840	#386	—	13	1	no	—
841	#386	—	13	1	no	—
842	#386	—	13	1	no	—
843	#386	—	13	1	no	—
844	#386	—	13	1	no	—
845	#386	—	13	1	no	—
846	#386	—	13	1	no	—
847	#386	—	13	1	no	—
848	#386	—	13	1	no	—
849	#386	—	13	1	no	—
850	#386	—	13	1	no	—
851	#386	—	13	1	no	—
852	#385	—	13	1	no	—
853	#385	—	13	1	no	—
854	#385	—	13	1	no	—
855	#385	—	13	1	no	—
856	#385	—	13	1	no	—
857	#385	—	13	1	no	—
858	#385	—	13	1	no	—
859	#385	—	13	1	no	—
860	#385	—	13	1	no	—
861	#385	—	13	1	no	—
862	#385	—	13	1	no	—
863	#385	—	13	1	no	—
864	#385	—	13	1	no	—
865	#385	—	13	1	no	—
866	#385	—	13	1	no	—
867	#385	—	13	1	no	—
868	#385	—	13	1	no	—
869	#385	—	13	1	no	—
870	#385	—	13	1	no	—
871	#385	—	13	1	no	—
872	#385	—	13	1	no	—
873	#385	—	13	1	no	—
874	#384	—	13	1	no	—
875	#383	—	13	1	no	—
876	#382	—	13	1	no	—
877	#382	—	13	1	no	—
878	#381	—	13	1	no	—
879	#380	—	13	1	no	—
880	#380	—	13	1	no	—
881	#380	—	13	1	no	—
882	#380	—	13	1	no	—
883	#380	—	13	1	no	—
884	#379	—	13	1	no	—
885	#379	—	13	1	no	—
886	C₄×C₄⋊C₄	—	13	1	no	—
887	C₄×C₄⋊C₄	—	13	1	no	—
888	C₄×C₄⋊C₄	—	13	1	no	—
889	C₄×C₄⋊C₄	—	13	1	no	—
890	C₄×C₄⋊C₄	—	13	1	no	—
891	C₄×C₄⋊C₄	—	13	1	no	—
892	C₄×C₄⋊C₄	—	13	1	no	—
893	C₄×C₂²⋊C₄	—	13	1	no	—
894	C₄×C₂²⋊C₄	—	13	1	no	—
895	C₄×C₂²⋊C₄	—	13	1	no	—
896	C₄×C₂²⋊C₄	—	13	1	no	—
897	C₄×C₂²⋊C₄	—	13	1	no	—
898	C₄×C₂²⋊C₄	—	13	1	no	—
899	C₄×C₂²⋊C₄	—	13	1	no	—
900	C₄×C₂²⋊C₄	—	13	1	no	—
901	C₄×C₂²⋊C₄	—	13	1	no	—
902	C₄×C₂²⋊C₄	—	13	1	no	—
903	C₄×C₂²⋊C₄	—	13	1	no	—
904	C₄×C₂²⋊C₄	—	13	1	no	—
905	C₄×C₂²⋊C₄	—	13	1	no	—
906	#376	—	13	1	no	—
907	C₂×#95	—	13	1	no	—
908	C₂×#95	—	13	1	no	—
909	C₂×#95	—	13	1	no	—
910	C₂²×C₁₃	—	2	2	no	—
911	C₂²×C₁₃	—	2	2	no	—
912	C₂²×C₁₃	—	2	2	no	—
913	C₂²×C₁₃	—	2	2	no	—
914	C₂²×C₁₃	—	2	2	no	—
915	C₂²×C₁₃	—	2	2	no	—
916	C₂²×C₁₃	—	2	2	no	—
917	C₂²×C₁₃	—	2	2	no	—
918	C₂²×C₁₃	—	2	2	no	—
919	C₂²×C₁₃	—	2	2	no	—
920	C₂²×C₁₃	—	2	2	no	—
921	C₂²×C₁₃	—	2	2	no	—
922	C₂²×C₁₃	—	2	2	no	—
923	C₂²×C₁₃	—	2	2	no	—
924	C₂²×C₁₃	—	2	2	no	—
925	C₂²×C₁₃	—	2	2	no	—
926	C₂²×C₁₃	—	2	2	no	—
927	C₂²×C₁₃	—	2	2	no	—
928	C₂²×C₁₃	—	4	16	no	—
929	C₂²×C₁₃	—	4	1	no	—
930	C₂²×C₁₃	—	4	1	no	—
931	C₂²×C₁₃	—	4	1	no	—
932	C₂²×C₁₃	—	4	1	no	—
933	C₂²×C₁₃	—	4	1	no	—
934	C₂²×C₁₃	—	4	1	no	—
935	C₂²×C₁₃	—	4	1	no	—
936	C₂²×C₁₃	—	4	1	no	—
937	C₂²×C₁₃	—	4	1	no	—
938	C₂²×C₁₃	—	4	1	no	—
939	C₂²×C₁₃	—	4	1	no	—
940	C₂²×C₁₃	—	4	1	no	—
941	C₂²×C₁₃	—	4	1	no	—
942	C₂²×C₁₃	—	4	1	no	—
943	C₂²×C₁₃	—	4	1	no	—
944	C₂²×C₁₃	—	4	1	no	—
945	C₂²×C₁₃	#520	1	4	yes	—
946	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
947	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
948	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
949	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
950	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
951	C₂²×C₁₃	#585	1	1	yes	characteristic
952	C₂²×C₁₃	#585	1	1	yes	characteristic
953	C₄×C₁₃	—	2	2	no	—
954	C₄×C₁₃	—	2	2	no	—
955	C₄×C₁₃	—	2	2	no	—
956	C₄×C₁₃	—	2	2	no	—
957	C₄×C₁₃	—	2	2	no	—
958	C₄×C₁₃	—	2	2	no	—
959	C₄×C₁₃	—	2	2	no	—
960	C₄×C₁₃	—	2	2	no	—
961	C₄×C₁₃	—	2	2	no	—
962	C₄×C₁₃	—	2	2	no	—
963	Dic₁₃	—	2	2	no	—
964	Dic₁₃	—	2	2	no	—
965	Dic₁₃	—	4	1	no	—
966	Dic₁₃	—	4	1	no	—
967	Dic₁₃	—	4	1	no	—
968	Dic₁₃	—	4	1	no	—
969	Dic₁₃	—	4	1	no	—
970	Dic₁₃	—	4	1	no	—
971	Dic₁₃	—	4	1	no	—
972	Dic₁₃	—	4	1	no	—
973	Dic₁₃	—	4	1	no	—
974	Dic₁₃	—	4	1	no	—
975	Dic₁₃	—	4	1	no	—
976	Dic₁₃	—	4	1	no	—
977	Dic₁₃	—	4	1	no	—
978	Dic₁₃	—	4	1	no	—
979	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
980	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
981	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
984	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
985	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
986	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
988	C₂³×C₄	—	13	1	no	—
989	C₂³×C₄	—	13	1	no	—
990	C₂³×C₄	—	13	1	no	—
991	C₂³×C₄	—	13	1	no	—
992	C₂³×C₄	—	13	1	no	—
993	C₂³×C₄	—	13	1	no	—
994	C₂³×C₄	—	13	1	no	—
995	C₂³×C₄	—	13	1	no	—
996	C₂³×C₄	—	13	1	no	—
997	C₂³×C₄	—	13	1	no	—
998	C₂³×C₄	—	13	1	no	—
999	C₂³×C₄	—	13	1	no	—
1000	C₂³×C₄	—	52	2	no	—
1001	C₂³×C₄	—	52	2	no	—
1002	C₂³×C₄	—	52	2	no	—
1003	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	#126	C₂×Dic₁₃	1	8	yes	complemented
1008	#126	C₂×Dic₁₃	1	8	yes	complemented
1009	#124	C₂×Dic₁₃	1	8	yes	complemented
1010	#124	C₂×Dic₁₃	1	8	yes	complemented
1011	#123	C₂×Dic₁₃	1	8	yes	complemented
1012	#123	C₂×Dic₁₃	1	8	yes	complemented
1013	C₂²⋊Q₈	C₂×Dic₁₃	1	8	yes	complemented
1014	#121	C₂×Dic₁₃	1	8	yes	complemented
1015	#121	C₂×Dic₁₃	1	8	yes	complemented
1016	#121	C₂×Dic₁₃	1	8	yes	complemented
1017	#120	C₂×Dic₁₃	1	8	yes	complemented
1018	#120	C₂×Dic₁₃	1	8	yes	complemented
1019	C₄×Q₈	—	52	2	no	—
1020	C₄×D₄	—	52	2	no	—
1021	C₄×D₄	—	52	2	no	—
1022	C₄×D₄	—	52	2	no	—
1023	C₄×D₄	—	52	2	no	—
1024	C₄×D₄	—	52	2	no	—
1025	C₄×D₄	—	52	2	no	—
1026	C₄×D₄	—	52	2	no	—
1027	C₄×D₄	—	52	2	no	—
1028	C₄×D₄	—	52	2	no	—
1029	C₄×D₄	C₂×Dic₁₃	1	8	yes	complemented
1030	C₄×D₄	C₂×Dic₁₃	1	8	yes	complemented
1031	#117	—	52	2	no	—
1032	C₂×C₄⋊C₄	—	13	1	no	—
1033	C₂×C₄⋊C₄	—	13	1	no	—
1034	C₂×C₄⋊C₄	—	13	1	no	—
1035	C₂×C₄⋊C₄	—	13	1	no	—
1036	C₂×C₄⋊C₄	—	13	1	no	—
1037	C₂×C₄⋊C₄	—	13	1	no	—
1038	C₂×C₄⋊C₄	—	13	1	no	—
1039	C₂×C₄⋊C₄	—	13	1	no	—
1040	C₂×C₄⋊C₄	—	13	1	no	—
1041	C₂×C₄⋊C₄	—	13	1	no	—
1042	C₂×C₄⋊C₄	—	13	1	no	—
1043	C₂×C₄⋊C₄	—	13	1	no	—
1044	C₂×C₄⋊C₄	—	13	1	no	—
1045	C₂×C₄⋊C₄	—	13	1	no	—
1046	C₂×C₄⋊C₄	—	13	1	no	—
1047	C₂×C₄⋊C₄	—	13	1	no	—
1048	C₂×C₄⋊C₄	—	13	1	no	—
1049	C₂×C₄⋊C₄	—	13	1	no	—
1050	C₂×C₄⋊C₄	—	13	1	no	—
1051	C₂×C₄⋊C₄	—	13	1	no	—
1052	C₂×C₄⋊C₄	—	13	1	no	—
1053	C₂×C₄⋊C₄	—	13	1	no	—
1054	C₂×C₄⋊C₄	—	13	1	no	—
1055	C₂×C₄⋊C₄	—	13	1	no	—
1056	C₂×C₄⋊C₄	—	52	2	no	—
1057	C₂×C₄⋊C₄	—	52	2	no	—
1058	C₂×C₄⋊C₄	—	52	2	no	—
1059	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	—	13	1	no	—
1066	C₂×C₂²⋊C₄	—	13	1	no	—
1067	C₂×C₂²⋊C₄	—	13	1	no	—
1068	C₂×C₂²⋊C₄	—	13	1	no	—
1069	C₂×C₂²⋊C₄	—	13	1	no	—
1070	C₂×C₂²⋊C₄	—	13	1	no	—
1071	C₂×C₂²⋊C₄	—	13	1	no	—
1072	C₂×C₂²⋊C₄	—	13	1	no	—
1073	C₂×C₂²⋊C₄	—	13	1	no	—
1074	C₂×C₂²⋊C₄	—	13	1	no	—
1075	C₂×C₂²⋊C₄	—	13	1	no	—
1076	C₂×C₂²⋊C₄	—	13	1	no	—
1077	C₂×C₂²⋊C₄	—	13	1	no	—
1078	C₂×C₂²⋊C₄	—	13	1	no	—
1079	C₂×C₂²⋊C₄	—	13	1	no	—
1080	C₂×C₂²⋊C₄	—	13	1	no	—
1081	C₂×C₂²⋊C₄	—	13	1	no	—
1082	C₂×C₂²⋊C₄	—	13	1	no	—
1083	C₂×C₂²⋊C₄	—	13	1	no	—
1084	C₂×C₂²⋊C₄	—	13	1	no	—
1085	C₂×C₂²⋊C₄	—	13	1	no	—
1086	C₂×C₂²⋊C₄	—	13	1	no	—
1087	C₂×C₂²⋊C₄	—	13	1	no	—
1088	C₂×C₂²⋊C₄	—	13	1	no	—
1089	C₂×C₂²⋊C₄	—	13	1	no	—
1090	C₂×C₂²⋊C₄	—	13	1	no	—
1091	C₂×C₂²⋊C₄	—	13	1	no	—
1092	C₂×C₂²⋊C₄	—	13	1	no	—
1093	C₂×C₂²⋊C₄	—	52	2	no	—
1094	C₂×C₂²⋊C₄	C₂×Dic₁₃	1	8	yes	complemented
1095	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂×C₄²	—	13	1	no	—
1110	C₂×C₄²	—	13	1	no	—
1111	C₂×C₄²	—	13	1	no	—
1112	C₂×C₄²	—	13	1	no	—
1113	C₂×C₄²	—	13	1	no	—
1114	C₂×C₄²	—	13	1	no	—
1115	C₂×C₄²	—	13	1	no	—
1116	C₂×C₄²	—	13	1	no	—
1117	C₂×C₄²	—	13	1	no	—
1118	C₂×C₄²	—	13	1	no	—
1119	C₂×C₄²	—	13	1	no	—
1120	C₂×C₄²	—	13	1	no	—
1121	C₂×C₄²	—	13	1	no	—
1122	C₂×C₄²	—	13	1	no	—
1123	C₂×C₄²	—	13	1	no	—
1124	C₂×C₄²	—	13	1	no	—
1125	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	—	13	1	no	—
1131	#95	—	13	1	no	—
1132	#95	—	13	1	no	—
1133	#95	—	13	1	no	—
1134	#95	—	13	1	no	—
1135	#95	—	13	1	no	—
1136	#95	—	13	1	no	—
1137	#95	—	13	1	no	—
1138	#95	—	13	1	no	—
1139	#95	—	13	1	no	—
1140	#95	—	13	1	no	—
1141	#95	—	13	1	no	—
1142	#95	—	13	1	no	—
1143	#95	—	13	1	no	—
1144	#95	—	13	1	no	—
1145	#95	—	13	1	no	—
1146	#95	—	13	1	no	—
1147	#95	—	13	1	no	—
1148	#95	—	13	1	no	—
1149	#95	—	13	1	no	—
1150	#95	—	13	1	no	—
1151	#95	—	13	1	no	—
1152	#95	—	13	1	no	—
1153	#95	—	13	1	no	—
1154	#95	—	13	1	no	—
1155	#95	—	13	1	no	—
1156	#95	—	13	1	no	—
1157	#95	—	13	1	no	—
1158	#95	—	13	1	no	—
1159	#95	—	13	1	no	—
1160	#95	—	13	1	no	—
1161	#95	—	13	1	no	—
1162	#95	—	13	1	no	—
1163	#95	—	13	1	no	—
1164	#95	—	13	1	no	—
1165	#95	—	13	1	no	—
1166	#95	—	13	1	no	—
1167	C₂×C₁₃	—	2	4	no	—
1168	C₂×C₁₃	—	4	2	no	—
1169	C₂×C₁₃	—	4	2	no	—
1170	C₂×C₁₃	—	4	2	no	—
1171	C₂×C₁₃	—	4	2	no	—
1172	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1173	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1174	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1175	C₂×C₁₃	#3532	1	1	yes	characteristic
1176	C₂×C₁₃	#3533	1	1	yes	characteristic
1177	C₂×C₁₃	#3541	1	1	yes	characteristic
1178	C₂×C₁₃	#3541	1	1	yes	characteristic
1179	C₂⁴	—	2	2	no	—
1180	C₂⁴	—	2	2	no	—
1181	C₂⁴	—	4	1	no	—
1182	C₂⁴	—	4	1	no	—
1183	C₂⁴	—	4	1	no	—
1184	C₂⁴	—	4	1	no	—
1185	C₂⁴	C₂²×Dic₁₃	1	4	yes	—
1186	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂×Q₈	—	4	1	no	—
1192	C₂×Q₈	—	4	1	no	—
1193	C₂×Q₈	C₂²×Dic₁₃	1	4	yes	complemented
1194	C₂×D₄	—	2	2	no	—
1195	C₂×D₄	—	2	2	no	—
1196	C₂×D₄	—	2	2	no	—
1197	C₂×D₄	—	2	2	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1209	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1210	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1211	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1212	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1213	C₂×D₄	C₂²×Dic₁₃	1	4	yes	—
1214	C₂×D₄	C₂²×Dic₁₃	1	4	yes	complemented
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	13	1	no	—
1224	C₂²×C₄	—	13	1	no	—
1225	C₂²×C₄	—	13	1	no	—
1226	C₂²×C₄	—	13	1	no	—
1227	C₂²×C₄	—	13	1	no	—
1228	C₂²×C₄	—	13	1	no	—
1229	C₂²×C₄	—	13	1	no	—
1230	C₂²×C₄	—	13	1	no	—
1231	C₂²×C₄	—	13	1	no	—
1232	C₂²×C₄	—	13	1	no	—
1233	C₂²×C₄	—	13	1	no	—
1234	C₂²×C₄	—	13	1	no	—
1235	C₂²×C₄	—	13	1	no	—
1236	C₂²×C₄	—	13	1	no	—
1237	C₂²×C₄	—	13	1	no	—
1238	C₂²×C₄	—	13	1	no	—
1239	C₂²×C₄	—	26	2	no	—
1240	C₂²×C₄	—	26	2	no	—
1241	C₂²×C₄	—	26	2	no	—
1242	C₂²×C₄	—	26	2	no	—
1243	C₂²×C₄	—	26	2	no	—
1244	C₂²×C₄	—	26	2	no	—
1245	C₂²×C₄	—	26	2	no	—
1246	C₂²×C₄	—	26	2	no	—
1247	C₂²×C₄	—	26	2	no	—
1248	C₂²×C₄	—	26	2	no	—
1249	C₂²×C₄	—	26	2	no	—
1250	C₂²×C₄	—	26	2	no	—
1251	C₂²×C₄	—	52	1	no	—
1252	C₂²×C₄	—	52	1	no	—
1253	C₂²×C₄	—	52	1	no	—
1254	C₂²×C₄	—	52	1	no	—
1255	C₂²×C₄	—	52	1	no	—
1256	C₂²×C₄	—	52	1	no	—
1257	C₂²×C₄	—	52	1	no	—
1258	C₂²×C₄	—	52	1	no	—
1259	C₂²×C₄	—	52	1	no	—
1260	C₂²×C₄	—	52	1	no	—
1261	C₂²×C₄	—	52	1	no	—
1262	C₂²×C₄	—	52	1	no	—
1263	C₂²×C₄	—	52	1	no	—
1264	C₂²×C₄	—	52	1	no	—
1265	C₂²×C₄	—	52	1	no	—
1266	C₂²×C₄	—	52	1	no	—
1267	C₂²×C₄	—	52	1	no	—
1268	C₂²×C₄	—	52	1	no	—
1269	C₂²×C₄	—	52	1	no	—
1270	C₂²×C₄	—	52	1	no	—
1271	C₂²×C₄	—	52	1	no	—
1272	C₂²×C₄	—	52	1	no	—
1273	C₂²×C₄	—	52	1	no	—
1274	C₂²×C₄	—	52	1	no	—
1275	C₂²×C₄	—	52	16	no	—
1276	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1277	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
1278	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	complemented
1279	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	complemented
1280	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1290	C₄⋊C₄	—	26	2	no	—
1291	C₄⋊C₄	—	26	2	no	—
1292	C₄⋊C₄	—	26	2	no	—
1293	C₄⋊C₄	—	26	2	no	—
1294	C₄⋊C₄	—	26	2	no	—
1295	C₄⋊C₄	—	26	2	no	—
1296	C₄⋊C₄	—	52	1	no	—
1297	C₄⋊C₄	—	52	1	no	—
1298	C₄⋊C₄	—	52	1	no	—
1299	C₄⋊C₄	—	52	1	no	—
1300	C₄⋊C₄	—	52	1	no	—
1301	C₄⋊C₄	—	52	1	no	—
1302	C₄⋊C₄	—	52	1	no	—
1303	C₄⋊C₄	—	52	1	no	—
1304	C₄⋊C₄	—	52	1	no	—
1305	C₄⋊C₄	—	52	1	no	—
1306	C₄⋊C₄	—	52	1	no	—
1307	C₄⋊C₄	—	52	1	no	—
1308	C₄⋊C₄	—	52	1	no	—
1309	C₄⋊C₄	—	52	1	no	—
1310	C₄⋊C₄	—	52	1	no	—
1311	C₄⋊C₄	—	52	1	no	—
1312	C₄⋊C₄	—	52	1	no	—
1313	C₄⋊C₄	—	52	1	no	—
1314	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1315	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1316	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1317	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1318	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1319	C₄⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1320	C₂²⋊C₄	—	26	2	no	—
1321	C₂²⋊C₄	—	26	2	no	—
1322	C₂²⋊C₄	—	26	2	no	—
1323	C₂²⋊C₄	—	26	2	no	—
1324	C₂²⋊C₄	—	26	2	no	—
1325	C₂²⋊C₄	—	26	2	no	—
1326	C₂²⋊C₄	—	52	1	no	—
1327	C₂²⋊C₄	—	52	1	no	—
1328	C₂²⋊C₄	—	52	1	no	—
1329	C₂²⋊C₄	—	52	1	no	—
1330	C₂²⋊C₄	—	52	1	no	—
1331	C₂²⋊C₄	—	52	1	no	—
1332	C₂²⋊C₄	—	52	1	no	—
1333	C₂²⋊C₄	—	52	1	no	—
1334	C₂²⋊C₄	—	52	1	no	—
1335	C₂²⋊C₄	—	52	1	no	—
1336	C₂²⋊C₄	—	52	1	no	—
1337	C₂²⋊C₄	—	52	1	no	—
1338	C₂²⋊C₄	—	52	1	no	—
1339	C₂²⋊C₄	—	52	1	no	—
1340	C₂²⋊C₄	—	52	1	no	—
1341	C₂²⋊C₄	—	52	1	no	—
1342	C₂²⋊C₄	—	52	1	no	—
1343	C₂²⋊C₄	—	52	1	no	—
1344	C₂²⋊C₄	—	52	1	no	—
1345	C₂²⋊C₄	—	52	1	no	—
1346	C₂²⋊C₄	—	52	1	no	—
1347	C₂²⋊C₄	—	52	1	no	—
1348	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1349	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1350	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1351	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1352	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1353	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1354	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1355	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1356	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1357	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	—
1358	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1359	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1360	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1361	C₂²⋊C₄	C₂²×Dic₁₃	1	4	yes	complemented
1362	C₄²	—	26	2	no	—
1363	C₄²	—	26	2	no	—
1364	C₄²	—	52	1	no	—
1365	C₄²	—	52	1	no	—
1366	C₄²	—	52	1	no	—
1367	C₄²	—	52	1	no	—
1368	C₄²	—	52	1	no	—
1369	C₄²	—	52	1	no	—
1370	C₄²	—	52	1	no	—
1371	C₄²	—	52	1	no	—
1372	C₄²	—	52	1	no	—
1373	C₄²	—	52	1	no	—
1374	C₄²	—	52	1	no	—
1375	C₄²	—	52	1	no	—
1376	C₄²	—	52	1	no	—
1377	C₄²	—	52	1	no	—
1378	C₄²	C₂²×Dic₁₃	1	4	yes	complemented
1379	C₄²	C₂²×Dic₁₃	1	4	yes	complemented
1380	C₁₃	#34416	1	1	yes	characteristic, complemented, Sylow
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	8	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	4	4	no	—
1411	C₂³	—	4	4	no	—
1412	C₂³	—	4	4	no	—
1413	C₂³	—	4	4	no	—
1414	C₂³	—	4	4	no	—
1415	C₂³	—	4	4	no	—
1416	C₂³	#88256	1	2	yes	—
1417	C₂³	#88257	1	2	yes	—
1418	C₂³	C₂³×Dic₁₃	1	2	yes	—
1419	C₂³	C₂³×Dic₁₃	1	2	yes	—
1420	C₂³	C₂³×Dic₁₃	1	2	yes	—
1421	C₂³	C₂³×Dic₁₃	1	2	yes	—
1422	C₂³	C₂³×Dic₁₃	1	2	yes	—
1423	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1424	Q₈	—	4	4	no	—
1425	D₄	—	2	8	no	—
1426	D₄	—	2	8	no	—
1427	D₄	—	4	4	no	—
1428	D₄	—	4	4	no	—
1429	D₄	—	4	4	no	—
1430	D₄	—	4	4	no	—
1431	D₄	—	4	4	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	4	4	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	13	2	no	—
1457	C₂×C₄	—	13	2	no	—
1458	C₂×C₄	—	26	1	no	—
1459	C₂×C₄	—	26	1	no	—
1460	C₂×C₄	—	26	1	no	—
1461	C₂×C₄	—	26	1	no	—
1462	C₂×C₄	—	26	1	no	—
1463	C₂×C₄	—	26	1	no	—
1464	C₂×C₄	—	26	1	no	—
1465	C₂×C₄	—	26	1	no	—
1466	C₂×C₄	—	26	1	no	—
1467	C₂×C₄	—	26	1	no	—
1468	C₂×C₄	—	26	1	no	—
1469	C₂×C₄	—	26	1	no	—
1470	C₂×C₄	—	26	1	no	—
1471	C₂×C₄	—	26	1	no	—
1472	C₂×C₄	—	26	1	no	—
1473	C₂×C₄	—	26	1	no	—
1474	C₂×C₄	—	26	1	no	—
1475	C₂×C₄	—	26	1	no	—
1476	C₂×C₄	—	26	1	no	—
1477	C₂×C₄	—	26	1	no	—
1478	C₂×C₄	—	26	1	no	—
1479	C₂×C₄	—	26	1	no	—
1480	C₂×C₄	—	26	1	no	—
1481	C₂×C₄	—	26	1	no	—
1482	C₂×C₄	—	26	1	no	—
1483	C₂×C₄	—	26	1	no	—
1484	C₂×C₄	—	26	1	no	—
1485	C₂×C₄	—	26	1	no	—
1486	C₂×C₄	—	26	1	no	—
1487	C₂×C₄	—	26	1	no	—
1488	C₂×C₄	—	26	1	no	—
1489	C₂×C₄	—	26	1	no	—
1490	C₂×C₄	—	26	1	no	—
1491	C₂×C₄	—	26	1	no	—
1492	C₂×C₄	—	26	1	no	—
1493	C₂×C₄	—	26	1	no	—
1494	C₂×C₄	—	26	1	no	—
1495	C₂×C₄	—	26	1	no	—
1496	C₂×C₄	—	26	1	no	—
1497	C₂×C₄	—	26	1	no	—
1498	C₂×C₄	—	26	1	no	—
1499	C₂×C₄	—	26	1	no	—
1500	C₂×C₄	—	26	1	no	—
1501	C₂×C₄	—	26	1	no	—
1502	C₂×C₄	—	26	1	no	—
1503	C₂×C₄	—	26	1	no	—
1504	C₂×C₄	—	52	4	no	—
1505	C₂×C₄	—	52	4	no	—
1506	C₂×C₄	—	52	4	no	—
1507	C₂×C₄	—	52	4	no	—
1508	C₂×C₄	—	52	4	no	—
1509	C₂×C₄	—	52	4	no	—
1510	C₂×C₄	—	104	2	no	—
1511	C₂×C₄	—	104	2	no	—
1512	C₂×C₄	—	104	2	no	—
1513	C₂×C₄	—	104	2	no	—
1514	C₂×C₄	—	104	2	no	—
1515	C₂×C₄	—	104	2	no	—
1516	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1517	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1518	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1519	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1520	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1521	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1522	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1523	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1524	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1525	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1526	C₂²	—	2	2	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	2	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	4	16	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	#11719532	1	4	yes	—
1562	C₂²	C₂×#88256	1	1	yes	characteristic
1563	C₂²	C₂×#88257	1	1	yes	characteristic
1564	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1565	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1566	C₂²	#11719650	1	1	yes	characteristic
1567	C₂²	#11719650	1	1	yes	characteristic
1568	C₂²	C₂⁴×Dic₁₃	1	1	yes	characteristic
1569	C₄	—	2	2	no	—
1570	C₄	—	2	2	no	—
1571	C₄	—	2	2	no	—
1572	C₄	—	2	2	no	—
1573	C₄	—	2	2	no	—
1574	C₄	—	2	2	no	—
1575	C₄	—	2	2	no	—
1576	C₄	—	2	2	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	2	2	no	—
1579	C₄	—	26	2	no	—
1580	C₄	—	26	2	no	—
1581	C₄	—	52	1	no	—
1582	C₄	—	52	1	no	—
1583	C₄	—	52	1	no	—
1584	C₄	—	52	1	no	—
1585	C₄	—	52	1	no	—
1586	C₄	—	52	1	no	—
1587	C₄	—	52	1	no	—
1588	C₄	—	52	1	no	—
1589	C₄	—	52	1	no	—
1590	C₄	—	52	1	no	—
1591	C₄	—	52	1	no	—
1592	C₄	—	52	1	no	—
1593	C₄	—	52	1	no	—
1594	C₄	—	52	1	no	—
1595	C₂	—	2	4	no	—
1596	C₂	—	4	2	no	—
1597	C₂	—	4	2	no	—
1598	C₂	—	4	2	no	—
1599	C₂	—	4	2	no	—
1600	C₂	C₂×#11719532	1	1	yes	characteristic
1601	C₂	H(5,𝔽₂)×Dic₁₃	1	1	yes	characteristic
1602	C₂	H(5,𝔽₂)×Dic₁₃	1	1	yes	characteristic
1603	C₂	#13128987	1	1	yes	characteristic
1604	C₂	#13129004	1	1	yes	characteristic
1605	C₂	#13129116	1	1	yes	characteristic
1606	C₂	#13129124	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting, prime radical	C₂×C₁₃×#538	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#538	D₁₃
hypocenter	C₁₃	#34416
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. #13118028	C₂	semidirect
2. #13118010	C₂	semidirect
3. #13117993	C₂	semidirect
4. #13117984	C₂	semidirect
5. #13117960	C₂	semidirect
6. #13117921	C₂	semidirect
7. #13117911	C₂	semidirect
8. #13117888	C₂	semidirect
9. #13117856	C₂	semidirect
10. #13117856	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. #13117651	C₂	semidirect
18. #13117630	C₂	semidirect
19. #13117615	C₂	semidirect
20. #13117615	C₂	semidirect
21. #13117549	C₂	semidirect
22. #13117541	C₂	semidirect
23. #13117531	C₂	semidirect
24. #13117508	C₂	semidirect
25. #13117497	C₂	semidirect
26. #13117497	C₂	semidirect
27. #13117434	C₂	semidirect
28. #120×Dic₁₃	C₂	semidirect
29. #120×Dic₁₃	C₂	semidirect
30. C₂×#11718611	C₂	semidirect
33. C₁₃×#538	C₄	semidirect
50. C₂×Q₈×Dic₁₃	C₂²	semidirect
59. C₂×D₄×Dic₁₃	C₂²	semidirect
60. C₂×#88180	C₂²	semidirect
63. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
66. #11718891	C₂²	semidirect
67. #11718891	C₂²	semidirect
68. #11718891	C₂²	semidirect
73. #11718882	C₂²	semidirect
86. #11718881	C₂²	semidirect
87. #11718881	C₂²	semidirect
90. #11718873	C₂²	semidirect
91. #11718873	C₂²	semidirect
92. #11718873	C₂²	semidirect
93. #11718872	C₂²	semidirect
96. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
99. C₂×#88071	C₂²	semidirect
100. #11718646	C₂²	semidirect
101. #11718646	C₂²	semidirect
102. #11718646	C₂²	semidirect
103. #11718646	C₂²	semidirect
104. #11718646	C₂²	semidirect
105. #11718646	C₂²	semidirect
106. #11718646	C₂²	semidirect
107. #11718646	C₂²	semidirect
108. #11718642	C₂²	semidirect
109. #11718642	C₂²	semidirect
110. #11718642	C₂²	semidirect
111. #11718642	C₂²	semidirect
112. #11718642	C₂²	semidirect
113. #11718642	C₂²	semidirect
114. #11718642	C₂²	semidirect
115. #11718642	C₂²	semidirect
116. #11718642	C₂²	semidirect
117. #11718642	C₂²	semidirect
118. #11718642	C₂²	semidirect
119. #11718642	C₂²	semidirect
120. C₄⋊C₄×Dic₁₃	C₂²	semidirect
121. C₄⋊C₄×Dic₁₃	C₂²	semidirect
122. C₄⋊C₄×Dic₁₃	C₂²	semidirect
123. C₄⋊C₄×Dic₁₃	C₂²	semidirect
140. #11718612	C₂²	semidirect
141. #11718612	C₂²	semidirect
142. #11718612	C₂²	semidirect
143. #11718612	C₂²	semidirect
144. #11718612	C₂²	semidirect
145. #11718612	C₂²	semidirect
146. #11718612	C₂²	semidirect
147. #11718612	C₂²	semidirect
164. #11718611	C₂²	semidirect
165. #11718611	C₂²	semidirect
166. #11718611	C₂²	semidirect
167. #11718611	C₂²	semidirect
168. #11718611	C₂²	semidirect
169. #11718611	C₂²	semidirect
178. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
179. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
180. #11718598	C₂²	semidirect
181. #11718597	C₂²	semidirect
182. #11718597	C₂²	semidirect
183. #11718596	C₂²	semidirect
184. C₄×C₄⋊Dic₁₃	C₂²	semidirect
185. C₄×C₄⋊Dic₁₃	C₂²	semidirect
186. C₄×C₄⋊Dic₁₃	C₂²	semidirect
187. #11718593	C₂²	semidirect
216. C₁₃×#126	C₂×C₄	semidirect
217. C₁₃×#126	C₂×C₄	semidirect
218. C₁₃×#124	C₂×C₄	semidirect
219. C₁₃×#124	C₂×C₄	semidirect
220. C₁₃×#123	C₂×C₄	semidirect
221. C₁₃×#123	C₂×C₄	semidirect
222. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
223. C₁₃×#121	C₂×C₄	semidirect
224. C₁₃×#121	C₂×C₄	semidirect
225. C₁₃×#121	C₂×C₄	semidirect
226. C₁₃×#120	C₂×C₄	semidirect
227. C₁₃×#120	C₂×C₄	semidirect
228. C₄×D₄×C₁₃	C₂×C₄	semidirect
229. C₄×D₄×C₁₃	C₂×C₄	semidirect
236. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
391. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
412. C₂×D₄×C₁₃	C₂²×C₄	semidirect
423. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
424. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
488. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
489. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
490. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
491. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
492. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
493. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
504. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
505. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
506. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
507. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
508. C₄²×C₁₃	C₂²×C₄	semidirect
509. C₄²×C₁₃	C₂²×C₄	semidirect
755. #538	Dic₁₃	semidirect
1007. #126	C₂×Dic₁₃	semidirect
1008. #126	C₂×Dic₁₃	semidirect
1009. #124	C₂×Dic₁₃	semidirect
1010. #124	C₂×Dic₁₃	semidirect
1011. #123	C₂×Dic₁₃	semidirect
1012. #123	C₂×Dic₁₃	semidirect
1013. C₂²⋊Q₈	C₂×Dic₁₃	semidirect
1014. #121	C₂×Dic₁₃	semidirect
1015. #121	C₂×Dic₁₃	semidirect
1016. #121	C₂×Dic₁₃	semidirect
1017. #120	C₂×Dic₁₃	semidirect
1018. #120	C₂×Dic₁₃	semidirect
1029. C₄×D₄	C₂×Dic₁₃	semidirect
1030. C₄×D₄	C₂×Dic₁₃	semidirect
1094. C₂×C₂²⋊C₄	C₂×Dic₁₃	semidirect
1193. C₂×Q₈	C₂²×Dic₁₃	semidirect
1214. C₂×D₄	C₂²×Dic₁₃	semidirect
1278. C₂²×C₄	C₂²×Dic₁₃	semidirect
1279. C₂²×C₄	C₂²×Dic₁₃	semidirect
1314. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1315. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1316. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1317. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1318. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1319. C₄⋊C₄	C₂²×Dic₁₃	semidirect
1358. C₂²⋊C₄	C₂²×Dic₁₃	semidirect
1359. C₂²⋊C₄	C₂²×Dic₁₃	semidirect
1360. C₂²⋊C₄	C₂²×Dic₁₃	semidirect
1361. C₂²⋊C₄	C₂²×Dic₁₃	semidirect
1378. C₄²	C₂²×Dic₁₃	semidirect
1379. C₄²	C₂²×Dic₁₃	semidirect
1380. C₁₃	#34416	semidirect

Maximal subgroups

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

subgroup	index
#13118028	2
#13118010	2
#13117993	2
#13117984	2
#13117960	2
#13117921	2
#13117911	2
#13117888	2
#13117856	2
#13117845	2
#13117832	2
#13117776	2
#13117765	2
#13117746	2
D₄×C₄⋊Dic₁₃	2
#13117651	2
#13117630	2
#13117615	2
#13117549	2
#13117541	2
#13117531	2
#13117508	2
#13117497	2
#13117434	2
#120×Dic₁₃	2
C₂×#11718611	2
C₂×C₁₃×#538	2
#34416	13