Subgroups — D₁₃×#2590 #16033242

Order 3328.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13120309	C₂	1	1	yes	maximal, characteristic, complemented
2	#13120308	C₂	1	1	yes	maximal, characteristic, complemented
3	#13120307	C₂	1	1	yes	maximal, characteristic, complemented
4	#13120306	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120305	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120304	C₂	1	1	yes	maximal, characteristic, complemented
7	#13120303	C₂	1	1	yes	maximal, characteristic, complemented
8	#13120302	C₂	1	1	yes	maximal, characteristic, complemented
9	#13120301	C₂	1	1	yes	maximal, characteristic, complemented
10	#13120300	C₂	1	1	yes	maximal, characteristic, complemented
11	#13120299	C₂	1	1	yes	maximal, characteristic, complemented
12	#13120298	C₂	1	1	yes	maximal, characteristic, complemented
13	#13120297	C₂	1	1	yes	maximal, characteristic, complemented
14	#13120296	C₂	1	1	yes	maximal, characteristic, complemented
15	#13120295	C₂	1	1	yes	maximal, characteristic, complemented
16	D₁₃×#400	C₂	1	1	yes	maximal, characteristic
17	D₁₃×#398	C₂	1	1	yes	maximal, characteristic
18	D₁₃×#398	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#398	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#389	C₂	1	1	yes	maximal, characteristic
21	D₁₃×#389	C₂	1	1	yes	maximal, characteristic
22	D₁₃×#389	C₂	1	1	yes	maximal, characteristic
23	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
25	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
26	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
27	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
28	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
29	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
30	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2590	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#400	C₂²	1	1	yes	characteristic
52	C₁₃×#398	C₂²	1	1	yes	characteristic
53	C₁₃×#398	C₂²	1	1	yes	characteristic
54	C₁₃×#398	C₂²	1	1	yes	characteristic
55	C₁₃×#389	C₂²	1	1	yes	characteristic
56	C₁₃×#389	C₂²	1	1	yes	characteristic
57	C₁₃×#389	C₂²	1	1	yes	characteristic
58	C₁₃×#387	C₂²	1	1	yes	characteristic
59	C₁₃×#387	C₂²	1	1	yes	characteristic
60	C₁₃×#387	C₂²	1	1	yes	characteristic
61	C₁₃×#387	C₂²	1	1	yes	characteristic
62	C₁₃×#387	C₂²	1	1	yes	characteristic
63	C₁₃×#387	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	#11718647	C₂²	1	1	yes	characteristic
67	#11718646	C₂²	1	1	yes	characteristic
68	#11718646	C₂²	1	1	yes	characteristic
69	#11718646	C₂²	1	1	yes	characteristic
70	#11718645	C₂²	1	1	yes	characteristic
71	#11718645	C₂²	1	1	yes	characteristic
72	#11718645	C₂²	1	1	yes	characteristic
73	#11718645	C₂²	1	1	yes	characteristic
74	#11718645	C₂²	1	1	yes	characteristic
75	#11718645	C₂²	1	1	yes	characteristic
76	#11718644	C₂²	1	1	yes	characteristic
77	#11718644	C₂²	1	1	yes	characteristic
78	#11718644	C₂²	1	1	yes	characteristic
79	#11718643	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718642	C₂²	1	1	yes	characteristic
83	#11718642	C₂²	1	1	yes	characteristic
84	#11718642	C₂²	1	1	yes	characteristic
85	#11718642	C₂²	1	1	yes	characteristic
86	#11718641	C₂²	1	1	yes	characteristic
87	#11718641	C₂²	1	1	yes	characteristic
88	#11718641	C₂²	1	1	yes	characteristic
89	#11718639	C₂²	1	1	yes	characteristic
90	#11718639	C₂²	1	1	yes	characteristic
91	#11718639	C₂²	1	1	yes	characteristic
92	#11718639	C₂²	1	1	yes	characteristic
93	#11718639	C₂²	1	1	yes	characteristic
94	#11718639	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
99	#11718634	C₂²	1	1	yes	characteristic
100	#11718634	C₂²	1	1	yes	characteristic
101	#11718634	C₂²	1	1	yes	characteristic
102	#11718633	C₂²	1	1	yes	characteristic
103	#11718633	C₂²	1	1	yes	characteristic
104	#11718633	C₂²	1	1	yes	characteristic
105	#11718633	C₂²	1	1	yes	characteristic
106	#11718633	C₂²	1	1	yes	characteristic
107	#11718633	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
110	#11718594	C₂²	1	1	yes	characteristic
111	#11718594	C₂²	1	1	yes	characteristic
112	#11718594	C₂²	1	1	yes	characteristic
113	#11718594	C₂²	1	1	yes	characteristic
114	#11718594	C₂²	1	1	yes	characteristic
115	#11718594	C₂²	1	1	yes	characteristic
116	C₄×#6101	C₂²	1	1	yes	characteristic
117	C₄×#6101	C₂²	1	1	yes	characteristic
118	C₄×#6101	C₂²	1	1	yes	characteristic
119	C₄×#6101	C₂²	1	1	yes	characteristic
120	#11718589	C₂²	1	1	yes	characteristic
121	#11718589	C₂²	1	1	yes	characteristic
122	#11718589	C₂²	1	1	yes	characteristic
123	D₁₃×#95	C₂²	1	1	yes	characteristic
124	D₁₃×#95	C₂²	1	1	yes	characteristic
125	D₁₃×#95	C₂²	1	1	yes	characteristic
126	D₁₃×#95	C₂²	1	1	yes	characteristic
127	D₁₃×#95	C₂²	1	1	yes	characteristic
128	D₁₃×#95	C₂²	1	1	yes	characteristic
129	D₁₃×#95	C₂²	1	1	yes	characteristic
130	D₁₃×#95	C₂²	1	1	yes	characteristic
131	D₁₃×#95	C₂²	1	1	yes	characteristic
132	D₁₃×#95	C₂²	1	1	yes	characteristic
133	D₁₃×#95	C₂²	1	1	yes	characteristic
134	D₁₃×#95	C₂²	1	1	yes	characteristic
135	D₁₃×#95	C₂²	1	1	yes	characteristic
136	D₁₃×#95	C₂²	1	1	yes	characteristic
137	D₁₃×#95	C₂²	1	1	yes	characteristic
138	D₁₃×#95	C₂²	1	1	yes	characteristic
139	#11718322	C₂²	1	1	yes	characteristic
140	#11718322	C₂²	1	1	yes	characteristic
141	#11718322	C₂²	1	1	yes	characteristic
142	#11718321	C₂²	1	1	yes	characteristic
143	#11718321	C₂²	1	1	yes	characteristic
144	#11718320	C₂²	1	1	yes	characteristic
145	#11718319	C₂²	1	1	yes	characteristic
146	#11718319	C₂²	1	1	yes	characteristic
147	#11718318	C₂²	1	1	yes	characteristic
148	#11718318	C₂²	1	1	yes	characteristic
149	#11718318	C₂²	1	1	yes	characteristic
150	#11718318	C₂²	1	1	yes	characteristic
151	#11718318	C₂²	1	1	yes	characteristic
152	#11718318	C₂²	1	1	yes	characteristic
153	#11718316	C₂²	1	1	yes	characteristic
154	#11718316	C₂²	1	1	yes	characteristic
155	#11718316	C₂²	1	1	yes	characteristic
156	#11718316	C₂²	1	1	yes	characteristic
157	#11718316	C₂²	1	1	yes	characteristic
158	#11718316	C₂²	1	1	yes	characteristic
159	#11718315	C₂²	1	1	yes	characteristic
160	#11718315	C₂²	1	1	yes	characteristic
161	#11718315	C₂²	1	1	yes	characteristic
162	#11718315	C₂²	1	1	yes	characteristic
163	#11718315	C₂²	1	1	yes	characteristic
164	#11718315	C₂²	1	1	yes	characteristic
165	#11718314	C₂²	1	1	yes	characteristic
166	#11718314	C₂²	1	1	yes	characteristic
167	#11718314	C₂²	1	1	yes	characteristic
168	#11718314	C₂²	1	1	yes	characteristic
169	#11718314	C₂²	1	1	yes	characteristic
170	#11718314	C₂²	1	1	yes	characteristic
171	#11718313	C₂²	1	1	yes	characteristic
172	#11718313	C₂²	1	1	yes	characteristic
173	#11718313	C₂²	1	1	yes	characteristic
174	#11718313	C₂²	1	1	yes	characteristic
175	#11718313	C₂²	1	1	yes	characteristic
176	#11718313	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718310	C₂²	1	1	yes	characteristic
180	#11718310	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718308	C₂²	1	1	yes	characteristic
183	#11718308	C₂²	1	1	yes	characteristic
184	#11718308	C₂²	1	1	yes	characteristic
185	#11718308	C₂²	1	1	yes	characteristic
186	#11718308	C₂²	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×#6101	C₂³	1	1	yes	characteristic
236	C₂×#6101	C₂³	1	1	yes	characteristic
237	C₂×#6101	C₂³	1	1	yes	characteristic
238	C₂×#6101	C₂³	1	1	yes	characteristic
239	C₂×#6101	C₂³	1	1	yes	characteristic
240	C₂×#6101	C₂³	1	1	yes	characteristic
241	C₂×#6101	C₂³	1	1	yes	characteristic
242	C₂×#6101	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₄⋊C₄×D₁₃	—	2	4	no	—
279	C₄⋊C₄×D₁₃	—	2	4	no	—
280	C₄⋊C₄×D₁₃	—	2	4	no	—
281	C₄⋊C₄×D₁₃	—	2	4	no	—
282	C₄⋊C₄×D₁₃	—	2	4	no	—
283	C₄⋊C₄×D₁₃	—	2	4	no	—
284	C₄⋊C₄×D₁₃	—	2	4	no	—
285	C₄⋊C₄×D₁₃	—	2	4	no	—
286	C₄⋊C₄×D₁₃	—	2	4	no	—
287	C₄⋊C₄×D₁₃	—	2	4	no	—
288	C₄⋊C₄×D₁₃	—	4	2	no	—
289	C₄⋊C₄×D₁₃	—	4	2	no	—
290	C₄⋊C₄×D₁₃	—	4	2	no	—
291	C₄⋊C₄×D₁₃	Q₈	1	8	yes	—
292	C₄²×D₁₃	—	2	4	no	—
293	C₄²×D₁₃	—	2	4	no	—
294	C₄²×D₁₃	—	4	2	no	—
295	C₄²×D₁₃	—	4	2	no	—
296	C₄²×D₁₃	—	4	2	no	—
297	C₁₃×#95	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	C₂³	1	1	yes	characteristic
303	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	#88071	C₂³	1	1	yes	characteristic
314	#88071	C₂³	1	1	yes	characteristic
315	#88071	C₂³	1	1	yes	characteristic
316	#88071	C₂³	1	1	yes	characteristic
317	#88071	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	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	C₂×#2590	—	13	1	no	maximal, Sylow
362	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×D₁₃	—	2	2	no	—
394	C₂×C₄×D₁₃	—	2	2	no	—
395	C₂×C₄×D₁₃	—	2	2	no	—
396	C₂×C₄×D₁₃	—	2	2	no	—
397	C₂×C₄×D₁₃	—	2	2	no	—
398	C₂×C₄×D₁₃	—	2	2	no	—
399	C₂×C₄×D₁₃	—	2	2	no	—
400	C₂×C₄×D₁₃	—	2	2	no	—
401	C₂×C₄×D₁₃	—	2	2	no	—
402	C₂×C₄×D₁₃	—	2	2	no	—
403	C₂×C₄×D₁₃	—	2	2	no	—
404	C₂×C₄×D₁₃	—	2	2	no	—
405	C₂×C₄×D₁₃	—	2	2	no	—
406	C₂×C₄×D₁₃	—	2	2	no	—
407	C₂×C₄×D₁₃	—	2	2	no	—
408	C₂×C₄×D₁₃	—	2	2	no	—
409	C₂×C₄×D₁₃	—	2	2	no	—
410	C₂×C₄×D₁₃	—	2	2	no	—
411	C₂×C₄×D₁₃	—	2	2	no	—
412	C₂×C₄×D₁₃	—	2	2	no	—
413	C₂×C₄×D₁₃	—	2	2	no	—
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	2	2	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	no	—
419	C₂×C₄×D₁₃	—	2	2	no	—
420	C₂×C₄×D₁₃	—	2	2	no	—
421	C₂×C₄×D₁₃	—	2	2	no	—
422	C₂×C₄×D₁₃	—	2	2	no	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
432	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
433	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
434	C₂×C₄×D₁₃	#41	1	4	yes	—
435	C₂×C₄×D₁₃	#41	1	4	yes	—
436	C₂×C₄×D₁₃	#41	1	4	yes	—
437	C₂×C₄×D₁₃	#41	1	4	yes	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	2	no	—
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	—	2	2	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	2	2	no	—
446	C₁₃×C₄⋊C₄	—	2	2	no	—
447	C₁₃×C₄⋊C₄	—	2	2	no	—
448	C₁₃×C₄⋊C₄	—	4	1	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	C₂×Q₈	1	4	yes	—
452	C₄²×C₁₃	—	2	2	no	—
453	C₄²×C₁₃	—	2	2	no	—
454	C₄²×C₁₃	—	4	1	no	—
455	C₄²×C₁₃	—	4	1	no	—
456	C₄²×C₁₃	—	4	1	no	—
457	C₄⋊Dic₁₃	—	2	2	no	—
458	C₄⋊Dic₁₃	—	2	2	no	—
459	C₄⋊Dic₁₃	—	2	2	no	—
460	C₄⋊Dic₁₃	—	2	2	no	—
461	C₄⋊Dic₁₃	—	2	2	no	—
462	C₄⋊Dic₁₃	—	2	2	no	—
463	C₄⋊Dic₁₃	—	2	2	no	—
464	C₄⋊Dic₁₃	—	2	2	no	—
465	C₄⋊Dic₁₃	—	2	2	no	—
466	C₄⋊Dic₁₃	—	2	2	no	—
467	C₄⋊Dic₁₃	—	4	1	no	—
468	C₄⋊Dic₁₃	—	4	1	no	—
469	C₄⋊Dic₁₃	—	4	1	no	—
470	C₄⋊Dic₁₃	C₂×Q₈	1	4	yes	—
471	#6101	—	2	2	no	—
472	#6101	—	2	2	no	—
473	#6101	—	2	2	no	—
474	#6101	—	2	2	no	—
475	#6101	—	2	2	no	—
476	#6101	—	2	2	no	—
477	#6101	—	2	2	no	—
478	#6101	—	2	2	no	—
479	#6101	—	2	2	no	—
480	#6101	—	2	2	no	—
481	#6101	—	2	2	no	—
482	#6101	—	2	2	no	—
483	#6101	—	2	2	no	—
484	#6101	—	2	2	no	—
485	#6101	—	2	2	no	—
486	#6101	—	2	2	no	—
487	#6101	—	2	2	no	—
488	#6101	—	2	2	no	—
489	#6101	—	2	2	no	—
490	#6101	—	2	2	no	—
491	#6101	—	4	1	no	—
492	#6101	—	4	1	no	—
493	#6101	—	4	1	no	—
494	#6101	—	4	1	no	—
495	#6101	—	4	1	no	—
496	#6101	—	4	1	no	—
497	#6101	C₂×Q₈	1	4	yes	—
498	#6101	C₂×Q₈	1	4	yes	—
499	C₄×Dic₁₃	—	2	2	no	—
500	C₄×Dic₁₃	—	2	2	no	—
501	C₄×Dic₁₃	—	2	2	no	—
502	C₄×Dic₁₃	—	2	2	no	—
503	C₄×Dic₁₃	—	2	2	no	—
504	C₄×Dic₁₃	—	2	2	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	#2590	—	13	1	no	—
515	#2590	—	13	1	no	—
516	#2590	—	13	1	no	—
517	#2590	—	13	1	no	—
518	#2590	—	13	1	no	—
519	#2590	—	13	1	no	—
520	#2590	—	13	1	no	—
521	#2590	—	13	1	no	—
522	#2590	—	13	1	no	—
523	#2590	—	13	1	no	—
524	#2590	—	13	1	no	—
525	#2590	—	13	1	no	—
526	#2590	—	13	1	no	—
527	#2590	—	13	1	no	—
528	#2590	—	13	1	no	—
529	#2590	D₁₃	1	1	yes	characteristic, direct product factor
530	C₂×#400	—	13	1	no	—
531	C₂×#398	—	13	1	no	—
532	C₂×#398	—	13	1	no	—
533	C₂×#398	—	13	1	no	—
534	C₂×#389	—	13	1	no	—
535	C₂×#389	—	13	1	no	—
536	C₂×#389	—	13	1	no	—
537	C₂×#387	—	13	1	no	—
538	C₂×#387	—	13	1	no	—
539	C₂×#387	—	13	1	no	—
540	C₂×#387	—	13	1	no	—
541	C₂×#387	—	13	1	no	—
542	C₂×#387	—	13	1	no	—
543	C₂×C₄×C₄⋊C₄	—	13	1	no	—
544	C₂×C₄×C₄⋊C₄	—	13	1	no	—
545	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
546	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
547	C₂²×D₁₃	C₂×#41	1	2	yes	—
548	C₂²×D₁₃	C₂×#41	1	2	yes	—
549	C₂²×D₁₃	C₂×#41	1	2	yes	—
550	C₂²×D₁₃	C₂×#41	1	2	yes	—
551	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
552	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
592	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
593	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
594	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
595	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
596	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
597	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
598	C₂×Dic₁₃	—	2	1	no	—
599	C₂×Dic₁₃	—	2	1	no	—
600	C₂×Dic₁₃	—	2	1	no	—
601	C₂×Dic₁₃	—	2	1	no	—
602	C₂×Dic₁₃	—	2	1	no	—
603	C₂×Dic₁₃	—	2	1	no	—
604	C₂×Dic₁₃	—	2	1	no	—
605	C₂×Dic₁₃	—	2	1	no	—
606	C₂×Dic₁₃	—	2	1	no	—
607	C₂×Dic₁₃	—	2	1	no	—
608	C₂×Dic₁₃	—	2	1	no	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	—	2	1	no	—
618	C₂×Dic₁₃	—	2	1	no	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	—	2	1	no	—
629	C₂×Dic₁₃	—	2	1	no	—
630	C₂×Dic₁₃	—	2	1	no	—
631	C₂×Dic₁₃	—	2	1	no	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
637	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
638	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
639	C₂×Dic₁₃	C₂×#41	1	2	yes	—
640	C₂×Dic₁₃	C₂×#41	1	2	yes	—
641	C₂×Dic₁₃	C₂×#41	1	2	yes	—
642	C₂×Dic₁₃	C₂×#41	1	2	yes	—
643	C₄×D₁₃	—	2	8	no	—
644	C₄×D₁₃	—	2	8	no	—
645	C₄×D₁₃	—	2	8	no	—
646	C₄×D₁₃	—	2	8	no	—
647	C₄×D₁₃	—	2	8	no	—
648	C₄×D₁₃	—	2	8	no	—
649	C₄×D₁₃	—	2	8	no	—
650	C₄×D₁₃	—	4	4	no	—
651	C₄×D₁₃	—	4	4	no	—
652	C₄×D₁₃	—	4	4	no	—
653	C₄×D₁₃	—	4	4	no	—
654	C₄×D₁₃	—	4	4	no	—
655	C₄×D₁₃	—	4	4	no	—
656	C₄×D₁₃	—	4	4	no	—
657	C₄×D₁₃	—	4	4	no	—
658	C₂²×C₄⋊C₄	—	13	1	no	—
659	C₂²×C₄⋊C₄	—	13	1	no	—
660	C₂²×C₄⋊C₄	—	13	1	no	—
661	C₂²×C₄⋊C₄	—	13	1	no	—
662	C₂²×C₄⋊C₄	—	13	1	no	—
663	C₂²×C₄⋊C₄	—	13	1	no	—
664	C₂²×C₄⋊C₄	—	13	1	no	—
665	C₂²×C₄⋊C₄	—	13	1	no	—
666	C₂²×C₄⋊C₄	—	13	1	no	—
667	C₂²×C₄⋊C₄	—	13	1	no	—
668	C₂²×C₄⋊C₄	—	13	1	no	—
669	C₂²×C₄⋊C₄	—	13	1	no	—
670	C₂²×C₄⋊C₄	—	13	1	no	—
671	C₂²×C₄⋊C₄	—	13	1	no	—
672	C₂²×C₄²	—	13	1	no	—
673	C₂²×C₄²	—	13	1	no	—
674	C₂²×C₄²	—	13	1	no	—
675	C₂²×C₄²	—	13	1	no	—
676	C₂²×C₄²	—	13	1	no	—
677	#400	—	13	1	no	—
678	#400	—	13	1	no	—
679	#400	—	13	1	no	—
680	#400	—	13	1	no	—
681	#400	—	13	1	no	—
682	#400	—	13	1	no	—
683	#400	—	13	1	no	—
684	#400	C₂×D₁₃	1	1	yes	characteristic
685	#398	—	13	1	no	—
686	#398	—	13	1	no	—
687	#398	—	13	1	no	—
688	#398	—	13	1	no	—
689	#398	—	13	1	no	—
690	#398	—	13	1	no	—
691	#398	—	13	1	no	—
692	#398	—	13	1	no	—
693	#398	—	13	1	no	—
694	#398	—	13	1	no	—
695	#398	—	13	1	no	—
696	#398	—	13	1	no	—
697	#398	—	13	1	no	—
698	#398	—	13	1	no	—
699	#398	—	13	1	no	—
700	#398	—	13	1	no	—
701	#398	—	13	1	no	—
702	#398	—	13	1	no	—
703	#398	—	13	1	no	—
704	#398	—	13	1	no	—
705	#398	—	13	1	no	—
706	#398	C₂×D₁₃	1	1	yes	characteristic
707	#398	C₂×D₁₃	1	1	yes	characteristic
708	#398	C₂×D₁₃	1	1	yes	characteristic
709	#389	—	13	1	no	—
710	#389	—	13	1	no	—
711	#389	—	13	1	no	—
712	#389	—	13	1	no	—
713	#389	—	13	1	no	—
714	#389	—	13	1	no	—
715	#389	—	13	1	no	—
716	#389	—	13	1	no	—
717	#389	—	13	1	no	—
718	#389	—	13	1	no	—
719	#389	—	13	1	no	—
720	#389	—	13	1	no	—
721	#389	—	13	1	no	—
722	#389	—	13	1	no	—
723	#389	—	13	1	no	—
724	#389	—	13	1	no	—
725	#389	—	13	1	no	—
726	#389	—	13	1	no	—
727	#389	—	13	1	no	—
728	#389	—	13	1	no	—
729	#389	—	13	1	no	—
730	#389	C₂×D₁₃	1	1	yes	characteristic
731	#389	C₂×D₁₃	1	1	yes	characteristic
732	#389	C₂×D₁₃	1	1	yes	characteristic
733	#387	—	13	1	no	—
734	#387	—	13	1	no	—
735	#387	—	13	1	no	—
736	#387	—	13	1	no	—
737	#387	—	13	1	no	—
738	#387	—	13	1	no	—
739	#387	—	13	1	no	—
740	#387	—	13	1	no	—
741	#387	—	13	1	no	—
742	#387	—	13	1	no	—
743	#387	—	13	1	no	—
744	#387	—	13	1	no	—
745	#387	—	13	1	no	—
746	#387	—	13	1	no	—
747	#387	—	13	1	no	—
748	#387	—	13	1	no	—
749	#387	—	13	1	no	—
750	#387	—	13	1	no	—
751	#387	—	13	1	no	—
752	#387	—	13	1	no	—
753	#387	—	13	1	no	—
754	#387	—	13	1	no	—
755	#387	—	13	1	no	—
756	#387	—	13	1	no	—
757	#387	—	13	1	no	—
758	#387	—	13	1	no	—
759	#387	—	13	1	no	—
760	#387	—	13	1	no	—
761	#387	—	13	1	no	—
762	#387	—	13	1	no	—
763	#387	—	13	1	no	—
764	#387	—	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	C₂×D₁₃	1	1	yes	characteristic
776	#387	C₂×D₁₃	1	1	yes	characteristic
777	#387	C₂×D₁₃	1	1	yes	characteristic
778	#387	C₂×D₁₃	1	1	yes	characteristic
779	#387	C₂×D₁₃	1	1	yes	characteristic
780	#387	C₂×D₁₃	1	1	yes	characteristic
781	C₄×C₄⋊C₄	—	13	1	no	—
782	C₄×C₄⋊C₄	—	13	1	no	—
783	C₄×C₄⋊C₄	—	13	1	no	—
784	C₄×C₄⋊C₄	—	13	1	no	—
785	C₄×C₄⋊C₄	—	13	1	no	—
786	C₄×C₄⋊C₄	—	13	1	no	—
787	C₄×C₄⋊C₄	—	13	1	no	—
788	C₄×C₄⋊C₄	—	13	1	no	—
789	C₄×C₄⋊C₄	—	13	1	no	—
790	C₄×C₄⋊C₄	—	13	1	no	—
791	C₄×C₄⋊C₄	—	13	1	no	—
792	C₄×C₄⋊C₄	—	13	1	no	—
793	C₄×C₄⋊C₄	—	13	1	no	—
794	C₄×C₄⋊C₄	—	13	1	no	—
795	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
796	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
797	C₂×#95	—	13	1	no	—
798	C₂×#95	—	13	1	no	—
799	C₂×#95	—	13	1	no	—
800	C₂×#95	—	13	1	no	—
801	C₂×#95	—	13	1	no	—
802	C₂×#95	—	13	1	no	—
803	C₂×#95	—	13	1	no	—
804	C₂×#95	—	13	1	no	—
805	C₂×#95	—	13	1	no	—
806	C₂×#95	—	13	1	no	—
807	C₂×#95	—	13	1	no	—
808	C₂×#95	—	13	1	no	—
809	C₂×#95	—	13	1	no	—
810	C₂×#95	—	13	1	no	—
811	C₂×#95	—	13	1	no	—
812	C₂×#95	—	13	1	no	—
813	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
814	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
815	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
816	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
817	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
818	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
819	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
820	C₂×D₁₃	#529	1	4	yes	—
821	C₂×D₁₃	#533	1	4	yes	—
822	C₂×D₁₃	#539	1	4	yes	—
823	C₂×D₁₃	#552	1	4	yes	—
824	C₂×D₁₃	#553	1	4	yes	—
825	C₂×D₁₃	#554	1	4	yes	—
826	C₂×D₁₃	#557	1	4	yes	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	2	no	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	—	2	2	no	—
831	C₄×C₁₃	—	2	2	no	—
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	—	2	2	no	—
834	C₄×C₁₃	—	4	1	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	—	4	1	no	—
837	C₄×C₁₃	—	4	1	no	—
838	C₄×C₁₃	—	4	1	no	—
839	C₄×C₁₃	—	4	1	no	—
840	C₄×C₁₃	—	4	1	no	—
841	C₄×C₁₃	—	4	1	no	—
842	Dic₁₃	—	2	2	no	—
843	Dic₁₃	—	2	2	no	—
844	Dic₁₃	—	2	2	no	—
845	Dic₁₃	—	2	2	no	—
846	Dic₁₃	—	2	2	no	—
847	Dic₁₃	—	2	2	no	—
848	Dic₁₃	—	2	2	no	—
849	Dic₁₃	—	4	1	no	—
850	Dic₁₃	—	4	1	no	—
851	Dic₁₃	—	4	1	no	—
852	Dic₁₃	—	4	1	no	—
853	Dic₁₃	—	4	1	no	—
854	Dic₁₃	—	4	1	no	—
855	Dic₁₃	—	4	1	no	—
856	Dic₁₃	—	4	1	no	—
857	C₂³×C₄	—	13	1	no	—
858	C₂³×C₄	—	13	1	no	—
859	C₂³×C₄	—	13	1	no	—
860	C₂³×C₄	—	13	1	no	—
861	C₂³×C₄	—	13	1	no	—
862	C₂³×C₄	—	13	1	no	—
863	C₂³×C₄	—	13	1	no	—
864	C₂³×C₄	—	13	1	no	—
865	C₂³×C₄	—	13	1	no	—
866	C₂³×C₄	—	13	1	no	—
867	C₂³×C₄	—	13	1	no	—
868	C₂³×C₄	—	13	1	no	—
869	C₂³×C₄	—	13	1	no	—
870	C₂³×C₄	—	13	1	no	—
871	C₂³×C₄	—	13	1	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	1	no	—
874	C₂×C₄⋊C₄	—	13	1	no	—
875	C₂×C₄⋊C₄	—	13	8	no	—
876	C₂×C₄⋊C₄	—	13	1	no	—
877	C₂×C₄⋊C₄	—	13	1	no	—
878	C₂×C₄⋊C₄	—	13	1	no	—
879	C₂×C₄⋊C₄	—	13	1	no	—
880	C₂×C₄⋊C₄	—	13	1	no	—
881	C₂×C₄⋊C₄	—	13	1	no	—
882	C₂×C₄⋊C₄	—	13	1	no	—
883	C₂×C₄⋊C₄	—	13	1	no	—
884	C₂×C₄⋊C₄	—	13	1	no	—
885	C₂×C₄⋊C₄	—	13	1	no	—
886	C₂×C₄⋊C₄	—	13	1	no	—
887	C₂×C₄⋊C₄	—	13	1	no	—
888	C₂×C₄⋊C₄	—	13	1	no	—
889	C₂×C₄⋊C₄	—	13	1	no	—
890	C₂×C₄⋊C₄	—	13	1	no	—
891	C₂×C₄⋊C₄	—	13	1	no	—
892	C₂×C₄⋊C₄	—	13	1	no	—
893	C₂×C₄⋊C₄	—	13	1	no	—
894	C₂×C₄⋊C₄	—	13	1	no	—
895	C₂×C₄⋊C₄	—	13	1	no	—
896	C₂×C₄⋊C₄	—	13	1	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	1	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	1	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	1	no	—
910	C₂×C₄⋊C₄	—	13	1	no	—
911	C₂×C₄⋊C₄	—	13	1	no	—
912	C₂×C₄⋊C₄	—	13	1	no	—
913	C₂×C₄⋊C₄	—	13	1	no	—
914	C₂×C₄⋊C₄	—	13	1	no	—
915	C₂×C₄⋊C₄	—	26	4	no	—
916	C₂×C₄⋊C₄	—	26	4	no	—
917	C₂×C₄⋊C₄	—	26	4	no	—
918	C₂×C₄⋊C₄	—	26	4	no	—
919	C₂×C₄⋊C₄	—	26	4	no	—
920	C₂×C₄⋊C₄	—	26	4	no	—
921	C₂×C₄⋊C₄	—	26	4	no	—
922	C₂×C₄⋊C₄	—	26	4	no	—
923	C₂×C₄⋊C₄	—	26	4	no	—
924	C₂×C₄⋊C₄	—	26	4	no	—
925	C₂×C₄⋊C₄	—	52	2	no	—
926	C₂×C₄⋊C₄	—	52	2	no	—
927	C₂×C₄⋊C₄	—	52	2	no	—
928	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₂×C₄²	—	13	1	no	—
943	C₂×C₄²	—	13	1	no	—
944	C₂×C₄²	—	13	1	no	—
945	C₂×C₄²	—	13	1	no	—
946	C₂×C₄²	—	13	1	no	—
947	C₂×C₄²	—	13	1	no	—
948	C₂×C₄²	—	13	1	no	—
949	C₂×C₄²	—	13	1	no	—
950	C₂×C₄²	—	13	1	no	—
951	C₂×C₄²	—	13	1	no	—
952	C₂×C₄²	—	13	1	no	—
953	C₂×C₄²	—	13	1	no	—
954	C₂×C₄²	—	13	1	no	—
955	C₂×C₄²	—	13	1	no	—
956	C₂×C₄²	—	13	1	no	—
957	C₂×C₄²	—	26	4	no	—
958	C₂×C₄²	—	26	4	no	—
959	C₂×C₄²	—	52	2	no	—
960	C₂×C₄²	—	52	2	no	—
961	C₂×C₄²	—	52	2	no	—
962	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
963	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
964	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
965	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
967	#95	—	13	1	no	—
968	#95	—	13	1	no	—
969	#95	—	13	1	no	—
970	#95	—	13	1	no	—
971	#95	—	13	1	no	—
972	#95	—	13	1	no	—
973	#95	—	13	1	no	—
974	#95	—	13	1	no	—
975	#95	—	13	1	no	—
976	#95	—	13	1	no	—
977	#95	—	13	1	no	—
978	#95	—	13	1	no	—
979	#95	—	13	1	no	—
980	#95	—	13	1	no	—
981	#95	—	13	1	no	—
982	#95	—	13	1	no	—
983	#95	—	13	1	no	—
984	#95	—	13	1	no	—
985	#95	—	13	1	no	—
986	#95	—	13	1	no	—
987	#95	—	13	1	no	—
988	#95	—	13	1	no	—
989	#95	—	13	1	no	—
990	#95	—	13	1	no	—
991	#95	—	13	1	no	—
992	#95	—	13	1	no	—
993	#95	—	13	1	no	—
994	#95	—	13	1	no	—
995	#95	—	13	1	no	—
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	—	13	1	no	—
1008	#95	—	13	1	no	—
1009	#95	—	13	1	no	—
1010	#95	—	13	1	no	—
1011	#95	—	13	1	no	—
1012	#95	—	13	1	no	—
1013	#95	—	13	1	no	—
1014	#95	—	13	1	no	—
1015	#95	C₂²×D₁₃	1	1	yes	characteristic
1016	#95	C₂²×D₁₃	1	1	yes	characteristic
1017	#95	C₂²×D₁₃	1	1	yes	characteristic
1018	#95	C₂²×D₁₃	1	1	yes	characteristic
1019	#95	C₂²×D₁₃	1	1	yes	characteristic
1020	#95	C₂²×D₁₃	1	1	yes	characteristic
1021	#95	C₂²×D₁₃	1	1	yes	characteristic
1022	#95	C₂²×D₁₃	1	1	yes	characteristic
1023	#95	C₂²×D₁₃	1	1	yes	characteristic
1024	#95	C₂²×D₁₃	1	1	yes	characteristic
1025	#95	C₂²×D₁₃	1	1	yes	characteristic
1026	#95	C₂²×D₁₃	1	1	yes	characteristic
1027	#95	C₂²×D₁₃	1	1	yes	characteristic
1028	#95	C₂²×D₁₃	1	1	yes	characteristic
1029	#95	C₂²×D₁₃	1	1	yes	characteristic
1030	#95	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1032	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
1033	C₂×C₁₃	C₂×#539	1	1	yes	characteristic
1034	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1035	C₂×C₁₃	C₂×#553	1	1	yes	characteristic
1036	C₂×C₁₃	C₂×#554	1	1	yes	characteristic
1037	C₂×C₁₃	C₂×#557	1	1	yes	characteristic
1038	D₁₃	#2590	1	8	yes	direct product factor
1039	C₂⁴	—	13	1	no	—
1040	C₂²×C₄	—	13	1	no	—
1041	C₂²×C₄	—	13	1	no	—
1042	C₂²×C₄	—	13	1	no	—
1043	C₂²×C₄	—	13	1	no	—
1044	C₂²×C₄	—	13	1	no	—
1045	C₂²×C₄	—	13	1	no	—
1046	C₂²×C₄	—	13	1	no	—
1047	C₂²×C₄	—	13	4	no	—
1048	C₂²×C₄	—	13	4	no	—
1049	C₂²×C₄	—	13	4	no	—
1050	C₂²×C₄	—	13	4	no	—
1051	C₂²×C₄	—	13	4	no	—
1052	C₂²×C₄	—	13	4	no	—
1053	C₂²×C₄	—	13	4	no	—
1054	C₂²×C₄	—	13	1	no	—
1055	C₂²×C₄	—	13	1	no	—
1056	C₂²×C₄	—	13	1	no	—
1057	C₂²×C₄	—	13	1	no	—
1058	C₂²×C₄	—	13	1	no	—
1059	C₂²×C₄	—	13	1	no	—
1060	C₂²×C₄	—	13	1	no	—
1061	C₂²×C₄	—	13	1	no	—
1062	C₂²×C₄	—	26	2	no	—
1063	C₂²×C₄	—	26	2	no	—
1064	C₂²×C₄	—	26	2	no	—
1065	C₂²×C₄	—	26	2	no	—
1066	C₂²×C₄	—	26	2	no	—
1067	C₂²×C₄	—	26	2	no	—
1068	C₂²×C₄	—	26	2	no	—
1069	C₂²×C₄	—	26	2	no	—
1070	C₂²×C₄	—	26	2	no	—
1071	C₂²×C₄	—	26	2	no	—
1072	C₂²×C₄	—	26	2	no	—
1073	C₂²×C₄	—	26	2	no	—
1074	C₂²×C₄	—	26	2	no	—
1075	C₂²×C₄	—	26	2	no	—
1076	C₂²×C₄	—	26	2	no	—
1077	C₂²×C₄	—	26	2	no	—
1078	C₂²×C₄	—	26	2	no	—
1079	C₂²×C₄	—	26	2	no	—
1080	C₂²×C₄	—	26	2	no	—
1081	C₂²×C₄	—	26	2	no	—
1082	C₂²×C₄	—	26	2	no	—
1083	C₂²×C₄	—	26	2	no	—
1084	C₂²×C₄	—	26	2	no	—
1085	C₂²×C₄	—	26	2	no	—
1086	C₂²×C₄	—	26	2	no	—
1087	C₂²×C₄	—	26	2	no	—
1088	C₂²×C₄	—	26	2	no	—
1089	C₂²×C₄	—	26	2	no	—
1090	C₂²×C₄	—	26	2	no	—
1091	C₂²×C₄	—	26	2	no	—
1092	C₂²×C₄	—	26	2	no	—
1093	C₂²×C₄	—	26	2	no	—
1094	C₂²×C₄	—	26	2	no	—
1095	C₂²×C₄	—	26	2	no	—
1096	C₂²×C₄	—	26	2	no	—
1097	C₂²×C₄	—	26	2	no	—
1098	C₂²×C₄	—	26	2	no	—
1099	C₂²×C₄	—	26	2	no	—
1100	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1115	C₄⋊C₄	—	2	2	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	13	4	no	—
1129	C₄⋊C₄	—	13	4	no	—
1130	C₄⋊C₄	—	13	4	no	—
1131	C₄⋊C₄	—	26	2	no	—
1132	C₄⋊C₄	—	26	2	no	—
1133	C₄⋊C₄	—	26	2	no	—
1134	C₄⋊C₄	—	26	2	no	—
1135	C₄⋊C₄	—	26	2	no	—
1136	C₄⋊C₄	—	26	2	no	—
1137	C₄⋊C₄	—	26	2	no	—
1138	C₄⋊C₄	—	26	2	no	—
1139	C₄⋊C₄	—	26	2	no	—
1140	C₄⋊C₄	—	26	2	no	—
1141	C₄⋊C₄	—	26	2	no	—
1142	C₄⋊C₄	—	26	2	no	—
1143	C₄⋊C₄	—	26	2	no	—
1144	C₄⋊C₄	—	26	2	no	—
1145	C₄⋊C₄	—	26	2	no	—
1146	C₄⋊C₄	—	26	2	no	—
1147	C₄⋊C₄	—	26	2	no	—
1148	C₄⋊C₄	—	26	2	no	—
1149	C₄⋊C₄	—	26	2	no	—
1150	C₄⋊C₄	—	26	2	no	—
1151	C₄⋊C₄	—	26	2	no	—
1152	C₄⋊C₄	—	26	2	no	—
1153	C₄⋊C₄	—	26	2	no	—
1154	C₄⋊C₄	—	26	2	no	—
1155	C₄⋊C₄	—	26	2	no	—
1156	C₄⋊C₄	—	26	2	no	—
1157	C₄⋊C₄	—	26	2	no	—
1158	C₄⋊C₄	—	26	2	no	—
1159	C₄⋊C₄	—	26	2	no	—
1160	C₄⋊C₄	—	26	2	no	—
1161	C₄⋊C₄	—	52	1	no	—
1162	C₄⋊C₄	—	52	1	no	—
1163	C₄⋊C₄	—	52	1	no	—
1164	C₄⋊C₄	—	52	1	no	—
1165	C₄⋊C₄	—	52	1	no	—
1166	C₄⋊C₄	—	52	1	no	—
1167	C₄⋊C₄	—	52	1	no	—
1168	C₄⋊C₄	—	52	1	no	—
1169	C₄⋊C₄	—	52	1	no	—
1170	C₄⋊C₄	Q₈×D₁₃	1	4	yes	—
1171	C₄²	—	2	2	no	—
1172	C₄²	—	2	2	no	—
1173	C₄²	—	4	1	no	—
1174	C₄²	—	4	1	no	—
1175	C₄²	—	4	1	no	—
1176	C₄²	—	26	2	no	—
1177	C₄²	—	26	2	no	—
1178	C₄²	—	26	2	no	—
1179	C₄²	—	26	2	no	—
1180	C₄²	—	26	2	no	—
1181	C₄²	—	26	2	no	—
1182	C₄²	—	52	1	no	—
1183	C₄²	—	52	1	no	—
1184	C₄²	—	52	1	no	—
1185	C₄²	—	52	1	no	—
1186	C₄²	—	52	1	no	—
1187	C₄²	—	52	1	no	—
1188	C₄²	—	52	1	no	—
1189	C₄²	—	52	1	no	—
1190	C₄²	—	52	1	no	—
1191	C₁₃	C₂×#2590	1	1	yes	characteristic, complemented, Sylow
1192	C₂³	—	13	2	no	—
1193	C₂³	—	13	2	no	—
1194	C₂³	—	13	2	no	—
1195	C₂³	—	13	2	no	—
1196	C₂³	—	13	2	no	—
1197	C₂³	—	13	2	no	—
1198	C₂³	—	13	2	no	—
1199	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	13	2	no	—
1239	C₂×C₄	—	13	2	no	—
1240	C₂×C₄	—	13	2	no	—
1241	C₂×C₄	—	13	2	no	—
1242	C₂×C₄	—	13	2	no	—
1243	C₂×C₄	—	13	2	no	—
1244	C₂×C₄	—	13	2	no	—
1245	C₂×C₄	—	26	8	no	—
1246	C₂×C₄	—	26	8	no	—
1247	C₂×C₄	—	26	8	no	—
1248	C₂×C₄	—	26	8	no	—
1249	C₂×C₄	—	26	8	no	—
1250	C₂×C₄	—	26	8	no	—
1251	C₂×C₄	—	26	8	no	—
1252	C₂×C₄	—	26	1	no	—
1253	C₂×C₄	—	26	1	no	—
1254	C₂×C₄	—	26	1	no	—
1255	C₂×C₄	—	26	1	no	—
1256	C₂×C₄	—	26	1	no	—
1257	C₂×C₄	—	26	1	no	—
1258	C₂×C₄	—	26	1	no	—
1259	C₂×C₄	—	26	1	no	—
1260	C₂×C₄	—	26	1	no	—
1261	C₂×C₄	—	26	1	no	—
1262	C₂×C₄	—	26	1	no	—
1263	C₂×C₄	—	26	1	no	—
1264	C₂×C₄	—	26	1	no	—
1265	C₂×C₄	—	26	1	no	—
1266	C₂×C₄	—	26	1	no	—
1267	C₂×C₄	—	26	1	no	—
1268	C₂×C₄	—	26	1	no	—
1269	C₂×C₄	—	26	1	no	—
1270	C₂×C₄	—	26	1	no	—
1271	C₂×C₄	—	26	1	no	—
1272	C₂×C₄	—	26	1	no	—
1273	C₂×C₄	—	26	1	no	—
1274	C₂×C₄	—	26	1	no	—
1275	C₂×C₄	—	26	1	no	—
1276	C₂×C₄	—	26	1	no	—
1277	C₂×C₄	—	26	1	no	—
1278	C₂×C₄	—	26	1	no	—
1279	C₂×C₄	—	26	1	no	—
1280	C₂×C₄	—	26	1	no	—
1281	C₂×C₄	—	26	1	no	—
1282	C₂×C₄	—	26	1	no	—
1283	C₂×C₄	—	26	1	no	—
1284	C₂×C₄	—	26	1	no	—
1285	C₂×C₄	—	26	1	no	—
1286	C₂×C₄	—	26	1	no	—
1287	C₂×C₄	—	26	1	no	—
1288	C₂×C₄	—	26	1	no	—
1289	C₂×C₄	—	26	1	no	—
1290	C₂×C₄	—	52	4	no	—
1291	C₂×C₄	—	52	4	no	—
1292	C₂×C₄	—	52	4	no	—
1293	C₂×C₄	—	52	4	no	—
1294	C₂×C₄	—	52	4	no	—
1295	C₂×C₄	—	52	4	no	—
1296	C₂×C₄	—	52	4	no	—
1297	C₂×C₄	—	52	4	no	—
1298	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1299	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1300	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1301	C₂×C₄	#41×D₁₃	1	2	yes	—
1302	C₂×C₄	#41×D₁₃	1	2	yes	—
1303	C₂×C₄	#41×D₁₃	1	2	yes	—
1304	C₂×C₄	#41×D₁₃	1	2	yes	—
1305	C₂²	—	13	4	no	—
1306	C₂²	—	13	4	no	—
1307	C₂²	—	13	4	no	—
1308	C₂²	—	13	4	no	—
1309	C₂²	—	13	4	no	—
1310	C₂²	—	13	4	no	—
1311	C₂²	—	13	4	no	—
1312	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1313	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1314	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1315	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1316	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1317	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1318	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	26	2	no	—
1335	C₄	—	26	2	no	—
1336	C₄	—	26	2	no	—
1337	C₄	—	26	2	no	—
1338	C₄	—	26	2	no	—
1339	C₄	—	26	2	no	—
1340	C₄	—	26	2	no	—
1341	C₄	—	52	1	no	—
1342	C₄	—	52	1	no	—
1343	C₄	—	52	1	no	—
1344	C₄	—	52	1	no	—
1345	C₄	—	52	1	no	—
1346	C₄	—	52	1	no	—
1347	C₄	—	52	1	no	—
1348	C₄	—	52	1	no	—
1349	C₂	—	13	8	no	—
1350	C₂	D₁₃×#529	1	1	yes	characteristic
1351	C₂	D₁₃×#533	1	1	yes	characteristic
1352	C₂	D₁₃×#539	1	1	yes	characteristic
1353	C₂	D₁₃×#552	1	1	yes	characteristic
1354	C₂	D₁₃×#553	1	1	yes	characteristic
1355	C₂	D₁₃×#554	1	1	yes	characteristic
1356	C₂	D₁₃×#557	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2590	C₂
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	#2590	D₁₃
hypocenter	C₁₃	C₂×#2590
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2590

Complements

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

N	H ≅ G/N	type
1. #13120309	C₂	semidirect
2. #13120308	C₂	semidirect
3. #13120307	C₂	semidirect
4. #13120306	C₂	semidirect
5. #13120305	C₂	semidirect
6. #13120304	C₂	semidirect
7. #13120303	C₂	semidirect
8. #13120302	C₂	semidirect
9. #13120301	C₂	semidirect
10. #13120300	C₂	semidirect
11. #13120299	C₂	semidirect
12. #13120298	C₂	semidirect
13. #13120297	C₂	semidirect
14. #13120296	C₂	semidirect
15. #13120295	C₂	semidirect
31. C₁₃×#2590	C₂	semidirect
529. #2590	D₁₃	direct (N × H)
1038. D₁₃	#2590	direct (N × H)
1191. C₁₃	C₂×#2590	semidirect

Maximal subgroups

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

subgroup	index
#13120309	2
#13120308	2
#13120307	2
#13120306	2
#13120305	2
#13120304	2
#13120303	2
#13120302	2
#13120301	2
#13120300	2
#13120299	2
#13120298	2
#13120297	2
#13120296	2
#13120295	2
D₁₃×#400	2
D₁₃×#398	2
D₁₃×#389	2
D₁₃×#387	2
C₄×C₄⋊C₄×D₁₃	2
C₁₃×#2590	2
C₂×#2590	13

Subgroups — D13×#2590 #16033242

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2590 #16033242