Subgroups — D₁₃×#3500 #16771383

Order 3328.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128630	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128629	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128628	C₂	1	3	yes	maximal, complemented
6	#13128627	C₂	1	4	yes	maximal, complemented
7	#13128626	C₂	1	3	yes	maximal, complemented
8	#13128625	C₂	1	3	yes	maximal, complemented
9	#13128624	C₂	1	1	yes	maximal, characteristic, complemented
10	#13128623	C₂	1	3	yes	maximal, complemented
11	#13128622	C₂	1	12	yes	maximal, complemented
12	D₁₃×#548	C₂	1	4	yes	maximal, complemented
13	D₁₃×#546	C₂	1	12	yes	maximal, complemented
14	D₁₃×#536	C₂	1	3	yes	maximal, complemented
15	D₁₃×#535	C₂	1	3	yes	maximal, complemented
16	D₁₃×#532	C₂	1	3	yes	maximal, complemented
17	C₂×D₁₃×#124	C₂	1	3	yes	maximal, complemented
18	C₄×#41×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	D₁₃×2₋¹⁺⁴	—	2	16	no	—
23	D₁₃×H(5,𝔽₂)	—	2	16	no	—
24	C₂×#88257	C₂²	1	3	yes	complemented
25	C₂×#88257	C₂²	1	6	yes	complemented
26	C₂×#88257	C₂²	1	1	yes	characteristic, complemented
27	C₂×#88256	C₂²	1	3	yes	complemented
28	C₂×#88256	C₂²	1	2	yes	complemented
29	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
30	C₂×#41×D₁₃	C₂²	1	2	yes	—
31	C₂×#41×D₁₃	C₂²	1	3	yes	—
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	6	yes	complemented
34	C₂×#41×D₁₃	C₂²	1	3	yes	complemented
35	C₂×#88254	C₂²	1	3	yes	complemented
36	C₂×#88254	C₂²	1	2	yes	complemented
37	C₂²×Q₈×D₁₃	C₂²	1	2	yes	complemented
38	C₂²×Q₈×D₁₃	C₂²	1	3	yes	complemented
39	C₂×#88251	C₂²	1	6	yes	complemented
40	C₂×#88251	C₂²	1	3	yes	complemented
41	C₂²×D₄×D₁₃	C₂²	1	6	yes	—
42	C₂²×D₄×D₁₃	C₂²	1	3	yes	—
43	C₁₃×#548	C₂²	1	4	yes	complemented
44	C₁₃×#546	C₂²	1	12	yes	complemented
45	C₁₃×#536	C₂²	1	3	yes	complemented
46	C₁₃×#535	C₂²	1	3	yes	complemented
47	C₁₃×#532	C₂²	1	3	yes	complemented
48	C₂×C₁₃×#124	C₂²	1	3	yes	complemented
49	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
50	#11719537	C₂²	1	3	yes	complemented
51	#11719537	C₂²	1	3	yes	complemented
52	#11719536	C₂²	1	4	yes	complemented
53	#11719535	C₂²	1	3	yes	complemented
54	#11719534	C₂²	1	12	yes	complemented
55	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
56	#11719530	C₂²	1	3	yes	complemented
57	#11719522	C₂²	1	4	yes	complemented
58	#11719521	C₂²	1	3	yes	complemented
59	C₂×#88201	C₂²	1	3	yes	complemented
60	#11719511	C₂²	1	12	yes	complemented
61	#11719510	C₂²	1	3	yes	complemented
62	C₂×#88190	C₂²	1	3	yes	complemented
63	#11719430	C₂²	1	3	yes	complemented
64	#11719429	C₂²	1	6	yes	complemented
65	D₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
66	#11719421	C₂²	1	3	yes	complemented
67	#11719420	C₂²	1	6	yes	complemented
68	D₁₃×#127	C₂²	1	3	yes	complemented
69	#11719382	C₂²	1	12	yes	complemented
70	#11719381	C₂²	1	12	yes	complemented
71	#11719380	C₂²	1	6	yes	complemented
72	#11719379	C₂²	1	6	yes	complemented
73	D₁₃×#124	C₂²	1	12	yes	complemented
74	D₁₃×#124	C₂²	1	3	yes	complemented
75	D₁₃×#124	C₂²	1	6	yes	complemented
76	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
77	D₁₃×#124	C₂²	1	12	yes	complemented
78	D₁₃×#124	C₂²	1	6	yes	complemented
79	D₁₃×#124	C₂²	1	6	yes	complemented
80	#11719373	C₂²	1	3	yes	complemented
81	#11719373	C₂²	1	3	yes	complemented
82	#11719359	C₂²	1	24	yes	complemented
83	D₁₃×#123	C₂²	1	12	yes	complemented
84	#11719353	C₂²	1	12	yes	complemented
85	#11719338	C₂²	1	12	yes	complemented
86	#11719335	C₂²	1	12	yes	complemented
87	#11719333	C₂²	1	12	yes	complemented
88	D₁₃×C₂²⋊Q₈	C₂²	1	12	yes	complemented
89	#11719317	C₂²	1	12	yes	complemented
90	#11719315	C₂²	1	24	yes	complemented
91	#11719312	C₂²	1	12	yes	complemented
92	D₁₃×#121	C₂²	1	12	yes	complemented
93	D₁₃×#121	C₂²	1	12	yes	complemented
94	#11719303	C₂²	1	12	yes	complemented
95	#11719301	C₂²	1	12	yes	complemented
96	#11719297	C₂²	1	12	yes	complemented
97	#11719296	C₂²	1	24	yes	complemented
98	D₁₃×#120	C₂²	1	12	yes	complemented
99	#11719281	C₂²	1	4	yes	complemented
100	C₄×#6131	C₂²	1	2	yes	complemented
101	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
102	#11719259	C₂²	1	12	yes	complemented
103	#11719257	C₂²	1	12	yes	complemented
104	#11719255	C₂²	1	12	yes	complemented
105	#11719253	C₂²	1	12	yes	complemented
106	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
107	C₄×D₄×D₁₃	C₂²	1	12	yes	complemented
108	C₄×#6129	C₂²	1	6	yes	complemented
109	#11719231	C₂²	1	3	yes	complemented
110	#11719230	C₂²	1	3	yes	complemented
111	#11719227	C₂²	1	3	yes	complemented
112	D₁₃×#117	C₂²	1	3	yes	complemented
113	C₂×#88139	C₂²	1	12	yes	complemented
114	#11719195	C₂²	1	24	yes	complemented
115	C₂×C₂²⋊C₄×D₁₃	C₂²	1	12	yes	complemented
116	#11719182	C₂²	1	3	yes	complemented
117	C₂×#88129	C₂²	1	3	yes	complemented
118	C₄×#6127	C₂²	1	3	yes	complemented
119	C₂×C₄²×D₁₃	C₂²	1	3	yes	complemented
120	C₂⁴×D₁₃	C₂³	1	6	yes	—
121	C₁₃×2₋¹⁺⁴	—	2	8	no	—
122	C₁₃×H(5,𝔽₂)	—	2	8	no	—
123	C₂×C₁₃×#41	C₂³	1	3	yes	—
124	C₂×C₁₃×#41	C₂³	1	2	yes	—
125	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
126	C₂×C₁₃×#41	C₂³	1	6	yes	complemented
127	C₂×C₁₃×#41	C₂³	1	3	yes	complemented
128	C₂²×Q₈×C₁₃	C₂³	1	3	yes	complemented
129	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
130	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
131	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
132	C₂²×C₂²⋊D₁₃	C₂³	1	12	yes	—
133	C₂²×C₂²⋊D₁₃	C₂³	1	6	yes	—
134	#88257	—	2	8	no	—
135	#88257	—	2	48	no	—
136	#88257	—	2	24	no	—
137	#88256	—	2	8	no	—
138	#88256	—	2	16	no	—
139	#88256	—	2	24	no	—
140	#41×D₁₃	—	2	16	no	—
141	#41×D₁₃	—	2	48	no	—
142	#41×D₁₃	—	2	24	no	—
143	#41×D₁₃	—	2	24	no	—
144	#41×D₁₃	D₄	1	16	yes	complemented
145	#88254	—	2	16	no	—
146	#88254	—	2	24	no	—
147	C₂×#6131	C₂³	1	3	yes	—
148	C₂×#6131	C₂³	1	2	yes	—
149	C₂×#6131	C₂³	1	1	yes	characteristic
150	C₂×#6131	C₂³	1	3	yes	complemented
151	C₂×#6131	C₂³	1	6	yes	complemented
152	C₂×Q₈×D₁₃	—	2	16	no	—
153	C₂×Q₈×D₁₃	—	2	24	no	—
154	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
155	C₂×Q₈×D₁₃	C₂³	1	3	yes	—
156	C₂×Q₈×D₁₃	C₂³	1	6	yes	—
157	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
158	C₂×Q₈×D₁₃	C₂³	1	6	yes	complemented
159	C₂×Q₈×D₁₃	C₂³	1	2	yes	complemented
160	C₂×Q₈×D₁₃	C₂³	1	6	yes	complemented
161	C₂×Q₈×D₁₃	C₂³	1	6	yes	complemented
162	#88251	—	2	48	no	—
163	#88251	—	2	24	no	—
164	C₂×#6129	C₂³	1	6	yes	—
165	C₂×#6129	C₂³	1	6	yes	—
166	C₂×#6129	C₂³	1	3	yes	—
167	C₂×#6129	C₂³	1	3	yes	—
168	C₂×#6129	C₂³	1	6	yes	complemented
169	C₂×#6129	C₂³	1	12	yes	complemented
170	C₂×#6129	C₂³	1	6	yes	complemented
171	C₂×#6129	C₂³	1	3	yes	complemented
172	C₂×D₄×D₁₃	—	2	48	no	—
173	C₂×D₄×D₁₃	—	2	24	no	—
174	C₂×D₄×D₁₃	C₂³	1	6	yes	—
175	C₂×D₄×D₁₃	C₂³	1	6	yes	—
176	C₂×D₄×D₁₃	C₂³	1	6	yes	—
177	C₂×D₄×D₁₃	C₂³	1	6	yes	—
178	C₂×D₄×D₁₃	C₂³	1	6	yes	—
179	C₂×D₄×D₁₃	C₂³	1	12	yes	—
180	C₂×D₄×D₁₃	C₂³	1	6	yes	—
181	C₂×D₄×D₁₃	C₂³	1	3	yes	—
182	C₂×D₄×D₁₃	C₂³	1	6	yes	—
183	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
184	C₂×D₄×D₁₃	C₂³	1	12	yes	—
185	C₂×D₄×D₁₃	C₂³	1	3	yes	—
186	C₂×#6127	C₂³	1	3	yes	—
187	C₂×#6127	C₂³	1	6	yes	—
188	C₂×#6127	C₂³	1	6	yes	—
189	C₂×#6127	C₂³	1	3	yes	—
190	C₂×#6127	C₂³	1	3	yes	complemented
191	C₂×#6127	C₂³	1	12	yes	complemented
192	C₂×#6127	C₂³	1	6	yes	complemented
193	C₂×#6127	C₂³	1	6	yes	complemented
194	C₂²×D₅₂	C₂³	1	3	yes	—
195	C₂²×D₅₂	C₂³	1	6	yes	—
196	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
197	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
198	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
199	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
200	C₂²×C₄×D₁₃	C₂³	1	3	yes	—
201	C₂²×Dic₂₆	C₂³	1	3	yes	complemented
202	C₂²×Dic₂₆	C₂³	1	6	yes	complemented
203	C₂²×Dic₂₆	C₂³	1	6	yes	complemented
204	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	complemented
205	C₁₃×#127	C₂³	1	3	yes	complemented
206	C₁₃×#124	C₂³	1	3	yes	complemented
207	C₁₃×#124	C₂³	1	6	yes	complemented
208	C₁₃×#124	C₂³	1	12	yes	complemented
209	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
210	C₁₃×#123	C₂³	1	12	yes	complemented
211	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
212	C₁₃×#121	C₂³	1	12	yes	complemented
213	C₁₃×#121	C₂³	1	12	yes	complemented
214	C₁₃×#120	C₂³	1	12	yes	complemented
215	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
216	C₄×D₄×C₁₃	C₂³	1	6	yes	complemented
217	C₄×D₄×C₁₃	C₂³	1	12	yes	complemented
218	C₁₃×#117	C₂³	1	3	yes	complemented
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
220	C₂×C₄²×C₁₃	C₂³	1	3	yes	complemented
221	#88207	C₂³	1	12	yes	complemented
222	C₂×C₂²⋊Dic₁₃	C₂³	1	12	yes	complemented
223	#88201	C₂³	1	6	yes	complemented
224	#88201	C₂³	1	1	yes	characteristic, complemented
225	#88201	C₂³	1	3	yes	complemented
226	#88201	C₂³	1	12	yes	complemented
227	#88200	C₂³	1	12	yes	complemented
228	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
229	#88198	C₂³	1	3	yes	complemented
230	#88198	C₂³	1	3	yes	complemented
231	#88194	C₂³	1	12	yes	complemented
232	#88194	C₂³	1	3	yes	complemented
233	#88194	C₂³	1	3	yes	complemented
234	#88193	C₂³	1	12	yes	complemented
235	#88193	C₂³	1	24	yes	complemented
236	#88193	C₂³	1	12	yes	complemented
237	#88192	C₂³	1	12	yes	complemented
238	#88192	C₂³	1	12	yes	complemented
239	#88191	C₂³	1	24	yes	complemented
240	#88191	C₂³	1	12	yes	complemented
241	#88190	C₂³	1	3	yes	complemented
242	#88190	C₂³	1	6	yes	complemented
243	#88190	C₂³	1	12	yes	complemented
244	#88190	C₂³	1	1	yes	characteristic, complemented
245	#88189	C₂³	1	12	yes	complemented
246	D₄×Dic₁₃	C₂³	1	6	yes	complemented
247	D₄×Dic₁₃	C₂³	1	12	yes	complemented
248	#88184	C₂³	1	12	yes	complemented
249	#88184	C₂³	1	12	yes	complemented
250	#88183	C₂³	1	12	yes	complemented
251	C₄×C₂²⋊D₁₃	C₂³	1	12	yes	complemented
252	C₄×C₂²⋊D₁₃	C₂³	1	12	yes	complemented
253	C₄×C₂²⋊D₁₃	C₂³	1	12	yes	complemented
254	C₂×#6103	C₂³	1	12	yes	complemented
255	C₂×#6103	C₂³	1	12	yes	complemented
256	#88180	C₂³	1	3	yes	complemented
257	#88178	C₂³	1	12	yes	complemented
258	C₂×C₄×Dic₁₃	C₂³	1	6	yes	complemented
259	C₂×C₄×Dic₁₃	C₂³	1	3	yes	complemented
260	#88151	C₂³	1	12	yes	complemented
261	#88150	C₂³	1	24	yes	complemented
262	#88149	C₂³	1	12	yes	complemented
263	#88149	C₂³	1	12	yes	complemented
264	#88148	C₂³	1	24	yes	complemented
265	#88147	C₂³	1	12	yes	complemented
266	#88147	C₂³	1	6	yes	complemented
267	#88146	C₂³	1	6	yes	complemented
268	C₄⋊C₄×D₁₃	C₂³	1	12	yes	—
269	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
270	#88142	C₂³	1	12	yes	complemented
271	#88141	C₂³	1	6	yes	complemented
272	#88140	C₂³	1	12	yes	complemented
273	#88139	C₂³	1	24	yes	complemented
274	#88139	C₂³	1	12	yes	complemented
275	#88139	C₂³	1	24	yes	complemented
276	#88139	C₂³	1	24	yes	complemented
277	#88139	C₂³	1	4	yes	complemented
278	#88138	C₂³	1	12	yes	complemented
279	#88138	C₂³	1	24	yes	complemented
280	#88138	C₂³	1	12	yes	complemented
281	#88137	C₂³	1	24	yes	complemented
282	#88136	C₂³	1	24	yes	complemented
283	#88136	C₂³	1	12	yes	complemented
284	#88135	C₂³	1	12	yes	complemented
285	#88135	C₂³	1	12	yes	complemented
286	#88135	C₂³	1	12	yes	complemented
287	C₂²⋊C₄×D₁₃	C₂³	1	12	yes	—
288	C₂²⋊C₄×D₁₃	C₂³	1	24	yes	—
289	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
290	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
291	C₂²⋊C₄×D₁₃	C₂³	1	24	yes	complemented
292	C₂²⋊C₄×D₁₃	C₂³	1	24	yes	complemented
293	#88132	C₂³	1	24	yes	complemented
294	#88131	C₂³	1	6	yes	complemented
295	#88129	C₂³	1	6	yes	complemented
296	#88129	C₂³	1	3	yes	complemented
297	#88129	C₂³	1	12	yes	complemented
298	#88129	C₂³	1	1	yes	characteristic, complemented
299	#88128	C₂³	1	3	yes	complemented
300	C₄×D₅₂	C₂³	1	6	yes	complemented
301	C₄×D₅₂	C₂³	1	12	yes	complemented
302	#88126	C₂³	1	6	yes	complemented
303	C₄²×D₁₃	C₂³	1	3	yes	—
304	C₄²×D₁₃	C₂³	1	1	yes	characteristic
305	C₄²×D₁₃	C₂³	1	6	yes	—
306	C₄²×D₁₃	C₂³	1	3	yes	complemented
307	C₄²×D₁₃	C₂³	1	3	yes	complemented
308	C₄²×D₁₃	C₂³	1	6	yes	complemented
309	#88123	C₂³	1	3	yes	complemented
310	C₄×Dic₂₆	C₂³	1	6	yes	complemented
311	C₂×#3500	—	13	1	no	maximal, Sylow
312	C₂⁴×C₁₃	C₂⁴	1	6	yes	—
313	C₂³×D₁₃	—	2	24	no	—
314	C₂³×D₁₃	—	4	24	no	—
315	C₂³×D₁₃	C₂⁴	1	6	yes	—
316	C₂³×D₁₃	C₂⁴	1	2	yes	—
317	C₂³×D₁₃	C₂⁴	1	3	yes	—
318	C₂³×D₁₃	C₂⁴	1	12	yes	—
319	C₂³×D₁₃	C₂⁴	1	6	yes	—
320	C₁₃×#41	—	2	8	no	—
321	C₁₃×#41	—	2	24	no	—
322	C₁₃×#41	—	2	12	no	—
323	C₁₃×#41	—	2	12	no	—
324	C₁₃×#41	C₂×D₄	1	8	yes	complemented
325	C₂×Q₈×C₁₃	—	2	8	no	—
326	C₂×Q₈×C₁₃	—	2	12	no	—
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₃	—	2	24	no	—
332	C₂×D₄×C₁₃	—	2	12	no	—
333	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
334	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
336	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
339	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
345	C₂×C₂²⋊D₁₃	—	2	48	no	—
346	C₂×C₂²⋊D₁₃	—	2	24	no	—
347	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
348	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
349	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
350	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
351	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
352	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
353	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
354	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
355	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
356	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
357	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
358	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
359	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
360	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
361	C₂²×Dic₁₃	C₂⁴	1	3	yes	—
362	#6131	—	2	8	no	—
363	#6131	—	2	24	no	—
364	#6131	—	2	12	no	—
365	#6131	—	2	12	no	—
366	#6131	C₂×D₄	1	8	yes	complemented
367	Q₈×D₁₃	—	2	8	no	—
368	Q₈×D₁₃	—	2	24	no	—
369	Q₈×D₁₃	—	2	12	no	—
370	Q₈×D₁₃	—	2	24	no	—
371	Q₈×D₁₃	—	2	24	no	—
372	Q₈×D₁₃	—	2	4	no	—
373	Q₈×D₁₃	—	2	24	no	—
374	Q₈×D₁₃	C₂×D₄	1	8	yes	—
375	#6129	—	2	24	no	—
376	#6129	—	2	48	no	—
377	#6129	—	2	24	no	—
378	#6129	—	2	24	no	—
379	#6129	—	2	12	no	—
380	#6129	—	2	12	no	—
381	#6129	—	2	24	no	—
382	#6129	C₂×D₄	1	24	yes	complemented
383	D₄×D₁₃	—	2	24	no	—
384	D₄×D₁₃	—	2	24	no	—
385	D₄×D₁₃	—	2	24	no	—
386	D₄×D₁₃	—	2	48	no	—
387	D₄×D₁₃	—	2	24	no	—
388	D₄×D₁₃	—	2	24	no	—
389	D₄×D₁₃	—	2	12	no	—
390	D₄×D₁₃	—	2	24	no	—
391	D₄×D₁₃	—	2	24	no	—
392	D₄×D₁₃	—	2	4	no	—
393	D₄×D₁₃	—	4	24	no	—
394	D₄×D₁₃	C₂×D₄	1	24	yes	—
395	#6127	—	2	12	no	—
396	#6127	—	2	12	no	—
397	#6127	—	2	48	no	—
398	#6127	—	2	24	no	—
399	#6127	—	2	24	no	—
400	#6127	—	2	24	no	—
401	#6127	—	2	24	no	—
402	#6127	C₂×D₄	1	24	yes	complemented
403	C₂×D₅₂	—	2	12	no	—
404	C₂×D₅₂	—	2	24	no	—
405	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
406	C₂×D₅₂	C₂⁴	1	3	yes	—
407	C₂×D₅₂	C₂⁴	1	6	yes	—
408	C₂×D₅₂	C₂⁴	1	6	yes	—
409	C₂×D₅₂	C₂⁴	1	6	yes	—
410	C₂×D₅₂	C₂⁴	1	12	yes	—
411	C₂×D₅₂	C₂⁴	1	3	yes	—
412	C₂×C₄×D₁₃	—	2	24	no	—
413	C₂×C₄×D₁₃	—	2	24	no	—
414	C₂×C₄×D₁₃	—	2	24	no	—
415	C₂×C₄×D₁₃	—	4	12	no	—
416	C₂×C₄×D₁₃	C₂×D₄	1	24	yes	—
417	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
418	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
419	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
420	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
421	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
422	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
423	C₂×C₄×D₁₃	C₂⁴	1	12	yes	—
424	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
425	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
426	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
427	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
428	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
430	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
431	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
432	C₂×Dic₂₆	—	2	12	no	—
433	C₂×Dic₂₆	—	2	24	no	—
434	C₂×Dic₂₆	—	2	24	no	—
435	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
436	C₂×Dic₂₆	C₂⁴	1	3	yes	—
437	C₂×Dic₂₆	C₂⁴	1	6	yes	—
438	C₂×Dic₂₆	C₂⁴	1	12	yes	—
439	C₂×Dic₂₆	C₂⁴	1	6	yes	—
440	C₂×Dic₂₆	C₂⁴	1	2	yes	—
441	C₂×Dic₂₆	C₂⁴	1	3	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
445	C₁₃×C₂²⋊C₄	C₂⁴	1	24	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₄²×C₁₃	C₂⁴	1	6	yes	—
449	C₄²×C₁₃	C₂⁴	1	3	yes	—
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
452	C₂²⋊Dic₁₃	C₂⁴	1	24	yes	—
453	C₂²⋊Dic₁₃	C₂⁴	1	12	yes	—
454	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
455	#6103	C₂⁴	1	12	yes	—
456	#6103	C₂⁴	1	4	yes	—
457	#6103	C₂⁴	1	12	yes	—
458	#6103	C₂⁴	1	24	yes	—
459	#6103	C₂⁴	1	12	yes	—
460	#6103	C₂⁴	1	24	yes	—
461	#6103	C₂⁴	1	4	yes	—
462	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
463	C₄⋊Dic₁₃	C₂⁴	1	12	yes	—
464	#6101	C₂⁴	1	12	yes	—
465	#6101	C₂⁴	1	12	yes	—
466	#6101	C₂⁴	1	12	yes	—
467	C₄×Dic₁₃	C₂⁴	1	6	yes	—
468	C₄×Dic₁₃	C₂⁴	1	2	yes	—
469	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
470	C₄×Dic₁₃	C₂⁴	1	3	yes	—
471	C₄×Dic₁₃	C₂⁴	1	6	yes	—
472	C₄×Dic₁₃	C₂⁴	1	6	yes	—
473	C₄×Dic₁₃	C₂⁴	1	6	yes	—
474	C₂²×2₋¹⁺⁴	—	13	1	no	—
475	C₂²×H(5,𝔽₂)	—	13	1	no	—
476	#3500	—	13	1	no	—
477	#3500	—	13	1	no	—
478	#3500	—	13	4	no	—
479	#3500	—	13	12	no	—
480	#3500	—	13	3	no	—
481	#3500	—	13	3	no	—
482	#3500	—	13	3	no	—
483	#3500	—	13	3	no	—
484	#3500	—	13	1	no	—
485	#3500	D₁₃	1	1	yes	characteristic, direct product factor
486	C₂×#548	—	13	4	no	—
487	C₂×#546	—	13	12	no	—
488	C₂×#536	—	13	3	no	—
489	C₂×#535	—	13	3	no	—
490	C₂×#532	—	13	3	no	—
491	C₂²×#124	—	13	3	no	—
492	C₂×C₄×#41	—	13	1	no	—
493	C₂³×C₁₃	—	2	12	no	—
494	C₂³×C₁₃	—	4	12	no	—
495	C₂³×C₁₃	C₂⁵	1	6	yes	—
496	C₂³×C₁₃	C₂⁵	1	2	yes	—
497	C₂³×C₁₃	C₂⁵	1	3	yes	—
498	C₂²×D₁₃	—	2	12	no	—
499	C₂²×D₁₃	—	2	12	no	—
500	C₂²×D₁₃	—	2	4	no	—
501	C₂²×D₁₃	—	2	12	no	—
502	C₂²×D₁₃	—	2	8	no	—
503	C₂²×D₁₃	—	2	24	no	—
504	C₂²×D₁₃	—	2	24	no	—
505	C₂²×D₁₃	—	4	24	no	—
506	C₂²×D₁₃	—	4	12	no	—
507	C₂²×D₁₃	—	8	48	no	—
508	C₂²×D₁₃	C₂²×D₄	1	12	yes	—
509	C₂²×D₁₃	C₂⁵	1	6	yes	—
510	C₂²×D₁₃	C₂⁵	1	2	yes	—
511	C₂²×D₁₃	C₂⁵	1	3	yes	—
512	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
513	Q₈×C₁₃	—	2	6	no	—
514	Q₈×C₁₃	—	2	12	no	—
515	Q₈×C₁₃	—	2	2	no	—
516	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
517	D₄×C₁₃	—	2	12	no	—
518	D₄×C₁₃	—	2	12	no	—
519	D₄×C₁₃	—	2	6	no	—
520	D₄×C₁₃	—	2	12	no	—
521	D₄×C₁₃	—	2	2	no	—
522	D₄×C₁₃	—	4	12	no	—
523	D₄×C₁₃	C₂²×D₄	1	12	yes	—
524	C₂×C₄×C₁₃	—	2	12	no	—
525	C₂×C₄×C₁₃	—	2	12	no	—
526	C₂×C₄×C₁₃	—	2	12	no	—
527	C₂×C₄×C₁₃	—	4	6	no	—
528	C₂×C₄×C₁₃	C₂²×D₄	1	12	yes	—
529	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
530	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
531	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
532	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
533	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
535	C₂²⋊D₁₃	—	2	12	no	—
536	C₂²⋊D₁₃	—	2	12	no	—
537	C₂²⋊D₁₃	—	2	12	no	—
538	C₂²⋊D₁₃	—	2	12	no	—
539	C₂²⋊D₁₃	—	2	4	no	—
540	C₂²⋊D₁₃	—	2	12	no	—
541	C₂²⋊D₁₃	—	2	24	no	—
542	C₂²⋊D₁₃	—	4	12	no	—
543	C₂²⋊D₁₃	—	4	12	no	—
544	C₂²⋊D₁₃	C₂²×D₄	1	24	yes	—
545	C₂×Dic₁₃	—	2	12	no	—
546	C₂×Dic₁₃	—	2	12	no	—
547	C₂×Dic₁₃	—	2	12	no	—
548	C₂×Dic₁₃	—	4	6	no	—
549	C₂×Dic₁₃	C₂²×D₄	1	12	yes	—
550	C₂×Dic₁₃	C₂⁵	1	2	yes	—
551	C₂×Dic₁₃	C₂⁵	1	6	yes	—
552	C₂×Dic₁₃	C₂⁵	1	2	yes	—
553	C₂×Dic₁₃	C₂⁵	1	6	yes	—
554	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
555	C₂×Dic₁₃	C₂⁵	1	3	yes	—
556	D₅₂	—	2	12	no	—
557	D₅₂	—	2	12	no	—
558	D₅₂	—	2	6	no	—
559	D₅₂	—	2	12	no	—
560	D₅₂	—	2	2	no	—
561	D₅₂	—	4	12	no	—
562	D₅₂	C₂²×D₄	1	12	yes	—
563	C₄×D₁₃	—	2	4	no	—
564	C₄×D₁₃	—	2	12	no	—
565	C₄×D₁₃	—	2	24	no	—
566	C₄×D₁₃	—	2	4	no	—
567	C₄×D₁₃	—	2	12	no	—
568	C₄×D₁₃	—	2	12	no	—
569	C₄×D₁₃	—	2	12	no	—
570	C₄×D₁₃	—	2	12	no	—
571	C₄×D₁₃	—	2	12	no	—
572	C₄×D₁₃	—	4	6	no	—
573	C₄×D₁₃	—	4	6	no	—
574	C₄×D₁₃	C₂²×D₄	1	12	yes	—
575	C₄×D₁₃	C₂²×D₄	1	4	yes	—
576	C₄×D₁₃	C₂²×D₄	1	12	yes	—
577	C₄×D₁₃	C₂²×D₄	1	12	yes	—
578	Dic₂₆	—	2	6	no	—
579	Dic₂₆	—	2	12	no	—
580	Dic₂₆	—	2	2	no	—
581	Dic₂₆	—	2	12	no	—
582	Dic₂₆	—	2	24	no	—
583	Dic₂₆	—	2	4	no	—
584	Dic₂₆	C₂²×D₄	1	12	yes	—
585	C₂×2₋¹⁺⁴	—	13	1	no	—
586	C₂×2₋¹⁺⁴	—	13	3	no	—
587	C₂×2₋¹⁺⁴	—	13	6	no	—
588	C₂×2₋¹⁺⁴	—	13	2	no	—
589	C₂×2₋¹⁺⁴	—	13	3	no	—
590	C₂×2₋¹⁺⁴	—	26	16	no	—
591	C₂×2₋¹⁺⁴	C₂×D₁₃	1	1	yes	characteristic, complemented
592	C₂×H(5,𝔽₂)	—	13	2	no	—
593	C₂×H(5,𝔽₂)	—	13	3	no	—
594	C₂×H(5,𝔽₂)	—	13	1	no	—
595	C₂×H(5,𝔽₂)	—	13	6	no	—
596	C₂×H(5,𝔽₂)	—	13	3	no	—
597	C₂×H(5,𝔽₂)	—	26	16	no	—
598	C₂×H(5,𝔽₂)	C₂×D₁₃	1	1	yes	characteristic, complemented
599	C₂²×#41	—	13	1	no	—
600	C₂²×#41	—	13	3	no	—
601	C₂²×#41	—	13	2	no	—
602	C₂²×#41	—	13	3	no	—
603	C₂²×#41	—	13	6	no	—
604	C₂³×Q₈	—	13	3	no	—
605	C₂³×Q₈	—	13	2	no	—
606	C₂³×D₄	—	13	3	no	—
607	C₂³×D₄	—	13	6	no	—
608	#548	—	13	4	no	—
609	#548	—	13	4	no	—
610	#548	—	13	12	no	—
611	#548	—	13	12	no	—
612	#548	—	13	12	no	—
613	#548	—	13	4	no	—
614	#548	—	13	12	no	—
615	#548	C₂×D₁₃	1	4	yes	complemented
616	#546	—	13	12	no	—
617	#546	—	13	12	no	—
618	#546	—	13	12	no	—
619	#546	—	13	24	no	—
620	#546	—	13	12	no	—
621	#546	—	13	24	no	—
622	#546	—	13	12	no	—
623	#546	—	13	24	no	—
624	#546	—	13	12	no	—
625	#546	—	13	12	no	—
626	#546	—	13	24	no	—
627	#546	C₂×D₁₃	1	12	yes	complemented
628	#536	—	13	3	no	—
629	#536	—	13	3	no	—
630	#536	—	13	6	no	—
631	#536	—	13	6	no	—
632	#536	—	13	12	no	—
633	#536	—	13	12	no	—
634	#536	—	13	3	no	—
635	#536	C₂×D₁₃	1	3	yes	complemented
636	#535	—	13	3	no	—
637	#535	—	13	3	no	—
638	#535	—	13	6	no	—
639	#535	—	13	6	no	—
640	#535	—	13	12	no	—
641	#535	—	13	12	no	—
642	#535	—	13	3	no	—
643	#535	C₂×D₁₃	1	3	yes	complemented
644	#532	—	13	3	no	—
645	#532	—	13	3	no	—
646	#532	—	13	3	no	—
647	#532	—	13	3	no	—
648	#532	—	13	3	no	—
649	#532	—	13	3	no	—
650	#532	—	13	12	no	—
651	#532	—	13	12	no	—
652	#532	—	13	3	no	—
653	#532	C₂×D₁₃	1	3	yes	complemented
654	C₂×C₄⋊Q₈	—	13	3	no	—
655	C₂×#127	—	13	3	no	—
656	C₂×#124	—	13	3	no	—
657	C₂×#124	—	13	3	no	—
658	C₂×#124	—	13	3	no	—
659	C₂×#124	—	13	6	no	—
660	C₂×#124	—	13	12	no	—
661	C₂×#124	—	13	6	no	—
662	C₂×#124	—	13	6	no	—
663	C₂×#124	—	13	12	no	—
664	C₂×#124	—	13	1	no	—
665	C₂×#124	—	13	12	no	—
666	C₂×#124	—	13	3	no	—
667	C₂×#124	C₂×D₁₃	1	3	yes	complemented
668	C₂×#123	—	13	12	no	—
669	C₂×C₂²⋊Q₈	—	13	12	no	—
670	C₂×#121	—	13	12	no	—
671	C₂×#121	—	13	12	no	—
672	C₂×#120	—	13	12	no	—
673	C₄×#41	—	13	1	no	—
674	C₄×#41	—	13	2	no	—
675	C₄×#41	—	13	6	no	—
676	C₄×#41	—	13	3	no	—
677	C₄×#41	—	13	3	no	—
678	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
679	C₂×C₄×Q₈	—	13	2	no	—
680	C₂×C₄×D₄	—	13	6	no	—
681	C₂×C₄×D₄	—	13	12	no	—
682	C₂×#117	—	13	3	no	—
683	C₂²×C₂²⋊C₄	—	13	12	no	—
684	C₂²×C₄²	—	13	3	no	—
685	C₂²×C₁₃	—	2	6	no	—
686	C₂²×C₁₃	—	2	2	no	—
687	C₂²×C₁₃	—	2	6	no	—
688	C₂²×C₁₃	—	2	4	no	—
689	C₂²×C₁₃	—	2	12	no	—
690	C₂²×C₁₃	—	8	12	no	—
691	C₂²×C₁₃	C₂³×D₄	1	6	yes	—
692	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
693	C₂×D₁₃	—	2	6	no	—
694	C₂×D₁₃	—	2	24	no	—
695	C₂×D₁₃	—	2	2	no	—
696	C₂×D₁₃	—	2	6	no	—
697	C₂×D₁₃	—	2	4	no	—
698	C₂×D₁₃	—	2	12	no	—
699	C₂×D₁₃	—	4	8	no	—
700	C₂×D₁₃	—	4	24	no	—
701	C₂×D₁₃	—	8	24	no	—
702	C₂×D₁₃	—	8	12	no	—
703	C₂×D₁₃	C₂³×D₄	1	6	yes	—
704	C₂×D₁₃	C₂³×D₄	1	2	yes	—
705	C₂×D₁₃	#585	1	4	yes	—
706	C₄×C₁₃	—	2	6	no	—
707	C₄×C₁₃	—	2	2	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	6	no	—
710	C₄×C₁₃	C₂³×D₄	1	2	yes	—
711	C₄×C₁₃	C₂³×D₄	1	6	yes	—
712	Dic₁₃	—	2	6	no	—
713	Dic₁₃	—	2	2	no	—
714	Dic₁₃	—	2	2	no	—
715	Dic₁₃	—	2	6	no	—
716	Dic₁₃	C₂³×D₄	1	2	yes	—
717	Dic₁₃	C₂³×D₄	1	6	yes	—
718	C₂⁵	—	13	6	no	—
719	2₋¹⁺⁴	—	2	8	no	—
720	2₋¹⁺⁴	—	26	16	no	—
721	2₋¹⁺⁴	—	26	24	no	—
722	2₋¹⁺⁴	—	26	48	no	—
723	2₋¹⁺⁴	—	26	24	no	—
724	2₋¹⁺⁴	—	26	8	no	—
725	H(5,𝔽₂)	—	2	8	no	—
726	H(5,𝔽₂)	—	26	48	no	—
727	H(5,𝔽₂)	—	26	24	no	—
728	H(5,𝔽₂)	—	26	16	no	—
729	H(5,𝔽₂)	—	26	24	no	—
730	H(5,𝔽₂)	—	26	8	no	—
731	C₂×#41	—	13	16	no	—
732	C₂×#41	—	13	1	no	—
733	C₂×#41	—	13	3	no	—
734	C₂×#41	—	13	3	no	—
735	C₂×#41	—	13	6	no	—
736	C₂×#41	—	13	2	no	—
737	C₂×#41	—	13	3	no	—
738	C₂×#41	—	13	6	no	—
739	C₂×#41	—	13	3	no	—
740	C₂×#41	—	13	6	no	—
741	C₂×#41	—	13	3	no	—
742	C₂×#41	—	13	6	no	—
743	C₂×#41	—	13	12	no	—
744	C₂×#41	—	13	6	no	—
745	C₂×#41	—	13	3	no	—
746	C₂×#41	—	13	6	no	—
747	C₂×#41	—	13	3	no	—
748	C₂×#41	—	13	6	no	—
749	C₂×#41	—	13	3	no	—
750	C₂×#41	—	13	6	no	—
751	C₂×#41	—	13	12	no	—
752	C₂×#41	—	13	6	no	—
753	C₂×#41	—	26	24	no	—
754	C₂×#41	—	26	24	no	—
755	C₂×#41	—	26	48	no	—
756	C₂×#41	—	26	16	no	—
757	C₂×#41	C₂²×D₁₃	1	3	yes	—
758	C₂×#41	C₂²×D₁₃	1	2	yes	—
759	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
760	C₂×#41	C₂²×D₁₃	1	3	yes	complemented
761	C₂×#41	C₂²×D₁₃	1	6	yes	complemented
762	C₂²×Q₈	—	13	1	no	—
763	C₂²×Q₈	—	13	6	no	—
764	C₂²×Q₈	—	13	3	no	—
765	C₂²×Q₈	—	13	6	no	—
766	C₂²×Q₈	—	13	6	no	—
767	C₂²×Q₈	—	13	1	no	—
768	C₂²×Q₈	—	13	6	no	—
769	C₂²×Q₈	—	13	2	no	—
770	C₂²×Q₈	—	13	6	no	—
771	C₂²×Q₈	—	13	3	no	—
772	C₂²×Q₈	—	13	6	no	—
773	C₂²×Q₈	—	26	24	no	—
774	C₂²×Q₈	—	26	16	no	—
775	C₂²×Q₈	C₂²×D₁₃	1	3	yes	complemented
776	C₂²×Q₈	C₂²×D₁₃	1	2	yes	complemented
777	C₂²×D₄	—	13	3	no	—
778	C₂²×D₄	—	13	6	no	—
779	C₂²×D₄	—	13	12	no	—
780	C₂²×D₄	—	13	6	no	—
781	C₂²×D₄	—	13	6	no	—
782	C₂²×D₄	—	13	6	no	—
783	C₂²×D₄	—	13	3	no	—
784	C₂²×D₄	—	13	6	no	—
785	C₂²×D₄	—	13	6	no	—
786	C₂²×D₄	—	13	1	no	—
787	C₂²×D₄	—	13	12	no	—
788	C₂²×D₄	—	13	6	no	—
789	C₂²×D₄	—	13	6	no	—
790	C₂²×D₄	—	13	12	no	—
791	C₂²×D₄	—	13	3	no	—
792	C₂²×D₄	—	13	6	no	—
793	C₂²×D₄	—	26	24	no	—
794	C₂²×D₄	—	26	48	no	—
795	C₂²×D₄	C₂²×D₁₃	1	3	yes	—
796	C₂²×D₄	C₂²×D₁₃	1	6	yes	—
797	C₂³×C₄	—	13	3	no	—
798	C₂³×C₄	—	13	6	no	—
799	C₂³×C₄	—	13	6	no	—
800	C₂³×C₄	—	13	6	no	—
801	C₂³×C₄	—	13	6	no	—
802	C₄⋊Q₈	—	13	3	no	—
803	C₄⋊Q₈	—	13	3	no	—
804	C₄⋊Q₈	—	13	12	no	—
805	C₄⋊Q₈	—	13	3	no	—
806	C₄⋊Q₈	C₂²×D₁₃	1	3	yes	complemented
807	#127	—	13	12	no	—
808	#127	—	13	3	no	—
809	#127	—	13	3	no	—
810	#127	—	13	3	no	—
811	#127	C₂²×D₁₃	1	3	yes	complemented
812	#124	—	13	3	no	—
813	#124	—	13	6	no	—
814	#124	—	13	12	no	—
815	#124	—	13	1	no	—
816	#124	—	13	3	no	—
817	#124	—	13	6	no	—
818	#124	—	13	12	no	—
819	#124	—	13	1	no	—
820	#124	—	13	12	no	—
821	#124	—	13	24	no	—
822	#124	—	13	24	no	—
823	#124	—	13	24	no	—
824	#124	—	13	4	no	—
825	#124	—	13	3	no	—
826	#124	—	13	6	no	—
827	#124	—	13	12	no	—
828	#124	—	13	1	no	—
829	#124	C₂²×D₁₃	1	3	yes	complemented
830	#124	C₂²×D₁₃	1	6	yes	complemented
831	#124	C₂²×D₁₃	1	12	yes	complemented
832	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
833	#123	—	13	12	no	—
834	#123	—	13	12	no	—
835	#123	—	13	24	no	—
836	#123	—	13	24	no	—
837	#123	—	13	12	no	—
838	#123	C₂²×D₁₃	1	12	yes	complemented
839	C₂²⋊Q₈	—	13	12	no	—
840	C₂²⋊Q₈	—	13	12	no	—
841	C₂²⋊Q₈	—	13	24	no	—
842	C₂²⋊Q₈	—	13	12	no	—
843	C₂²⋊Q₈	—	13	24	no	—
844	C₂²⋊Q₈	C₂²×D₁₃	1	12	yes	complemented
845	#121	—	13	12	no	—
846	#121	—	13	12	no	—
847	#121	—	13	12	no	—
848	#121	—	13	12	no	—
849	#121	—	13	24	no	—
850	#121	—	13	12	no	—
851	#121	—	13	12	no	—
852	#121	—	13	12	no	—
853	#121	—	13	12	no	—
854	#121	—	13	12	no	—
855	#121	—	13	12	no	—
856	#121	—	13	24	no	—
857	#121	C₂²×D₁₃	1	12	yes	complemented
858	#121	C₂²×D₁₃	1	12	yes	complemented
859	#120	—	13	12	no	—
860	#120	—	13	24	no	—
861	#120	—	13	12	no	—
862	#120	—	13	12	no	—
863	#120	—	13	24	no	—
864	#120	C₂²×D₁₃	1	12	yes	complemented
865	C₄×Q₈	—	13	2	no	—
866	C₄×Q₈	—	13	6	no	—
867	C₄×Q₈	—	13	6	no	—
868	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
869	C₄×D₄	—	13	6	no	—
870	C₄×D₄	—	13	12	no	—
871	C₄×D₄	—	13	12	no	—
872	C₄×D₄	—	13	12	no	—
873	C₄×D₄	—	13	12	no	—
874	C₄×D₄	—	13	6	no	—
875	C₄×D₄	—	13	12	no	—
876	C₄×D₄	—	13	12	no	—
877	C₄×D₄	—	13	12	no	—
878	C₄×D₄	—	13	12	no	—
879	C₄×D₄	—	13	6	no	—
880	C₄×D₄	—	13	12	no	—
881	C₄×D₄	C₂²×D₁₃	1	6	yes	complemented
882	C₄×D₄	C₂²×D₁₃	1	12	yes	complemented
883	#117	—	13	3	no	—
884	#117	—	13	6	no	—
885	#117	—	13	6	no	—
886	#117	—	13	6	no	—
887	#117	C₂²×D₁₃	1	3	yes	complemented
888	C₂×C₄⋊C₄	—	13	6	no	—
889	C₂×C₄⋊C₄	—	13	12	no	—
890	C₂×C₂²⋊C₄	—	13	12	no	—
891	C₂×C₂²⋊C₄	—	13	12	no	—
892	C₂×C₂²⋊C₄	—	13	12	no	—
893	C₂×C₂²⋊C₄	—	13	12	no	—
894	C₂×C₂²⋊C₄	—	13	24	no	—
895	C₂×C₂²⋊C₄	—	13	24	no	—
896	C₂×C₂²⋊C₄	—	13	24	no	—
897	C₂×C₂²⋊C₄	—	13	6	no	—
898	C₂×C₂²⋊C₄	—	13	4	no	—
899	C₂×C₂²⋊C₄	C₂²×D₁₃	1	12	yes	complemented
900	C₂×C₄²	—	13	6	no	—
901	C₂×C₄²	—	13	3	no	—
902	C₂×C₄²	—	13	3	no	—
903	C₂×C₄²	—	13	6	no	—
904	C₂×C₄²	—	13	6	no	—
905	C₂×C₄²	—	13	3	no	—
906	C₂×C₄²	—	13	3	no	—
907	C₂×C₄²	—	13	1	no	—
908	C₂×C₄²	C₂²×D₁₃	1	3	yes	complemented
909	C₂×C₁₃	—	2	6	no	—
910	C₂×C₁₃	—	4	6	no	—
911	C₂×C₁₃	—	4	2	no	—
912	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
913	C₂×C₁₃	C₂×#585	1	2	yes	—
914	D₁₃	—	2	6	no	—
915	D₁₃	—	4	2	no	—
916	D₁₃	—	4	6	no	—
917	D₁₃	#3500	1	4	yes	direct product factor
918	C₂⁴	—	13	3	no	—
919	C₂⁴	—	13	6	no	—
920	C₂⁴	—	13	2	no	—
921	C₂⁴	—	13	12	no	—
922	C₂⁴	—	13	6	no	—
923	C₂⁴	—	26	24	no	—
924	C₂⁴	—	52	24	no	—
925	C₂⁴	C₂³×D₁₃	1	6	yes	—
926	#41	—	2	8	no	—
927	#41	—	2	24	no	—
928	#41	—	2	12	no	—
929	#41	—	2	12	no	—
930	#41	—	13	8	no	—
931	#41	—	13	24	no	—
932	#41	—	13	24	no	—
933	#41	—	26	24	no	—
934	#41	—	26	24	no	—
935	#41	—	26	48	no	—
936	#41	—	26	24	no	—
937	#41	—	26	24	no	—
938	#41	—	26	24	no	—
939	#41	—	26	12	no	—
940	#41	—	26	24	no	—
941	#41	—	26	12	no	—
942	#41	—	26	12	no	—
943	#41	—	26	12	no	—
944	#41	—	26	48	no	—
945	#41	—	26	24	no	—
946	#41	—	26	24	no	—
947	#41	—	26	8	no	—
948	#41	—	26	24	no	—
949	#41	—	26	12	no	—
950	#41	—	26	12	no	—
951	#41	D₄×D₁₃	1	8	yes	complemented
952	C₂×Q₈	—	2	8	no	—
953	C₂×Q₈	—	2	12	no	—
954	C₂×Q₈	—	13	8	no	—
955	C₂×Q₈	—	13	3	no	—
956	C₂×Q₈	—	13	12	no	—
957	C₂×Q₈	—	13	6	no	—
958	C₂×Q₈	—	13	6	no	—
959	C₂×Q₈	—	13	3	no	—
960	C₂×Q₈	—	13	2	no	—
961	C₂×Q₈	—	13	1	no	—
962	C₂×Q₈	—	26	24	no	—
963	C₂×Q₈	—	26	24	no	—
964	C₂×Q₈	—	26	12	no	—
965	C₂×Q₈	—	26	24	no	—
966	C₂×Q₈	—	26	24	no	—
967	C₂×Q₈	—	26	24	no	—
968	C₂×Q₈	—	26	4	no	—
969	C₂×Q₈	—	26	24	no	—
970	C₂×Q₈	—	26	8	no	—
971	C₂×Q₈	—	26	12	no	—
972	C₂×Q₈	C₂³×D₁₃	1	6	yes	—
973	C₂×Q₈	C₂³×D₁₃	1	3	yes	—
974	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
975	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
976	C₂×D₄	—	2	24	no	—
977	C₂×D₄	—	2	12	no	—
978	C₂×D₄	—	13	6	no	—
979	C₂×D₄	—	13	24	no	—
980	C₂×D₄	—	13	6	no	—
981	C₂×D₄	—	13	6	no	—
982	C₂×D₄	—	13	6	no	—
983	C₂×D₄	—	13	6	no	—
984	C₂×D₄	—	13	12	no	—
985	C₂×D₄	—	13	6	no	—
986	C₂×D₄	—	13	2	no	—
987	C₂×D₄	—	13	12	no	—
988	C₂×D₄	—	13	12	no	—
989	C₂×D₄	—	13	3	no	—
990	C₂×D₄	—	13	6	no	—
991	C₂×D₄	—	13	6	no	—
992	C₂×D₄	—	13	6	no	—
993	C₂×D₄	—	13	3	no	—
994	C₂×D₄	—	13	1	no	—
995	C₂×D₄	—	13	12	no	—
996	C₂×D₄	—	26	24	no	—
997	C₂×D₄	—	26	12	no	—
998	C₂×D₄	—	26	24	no	—
999	C₂×D₄	—	26	24	no	—
1000	C₂×D₄	—	26	24	no	—
1001	C₂×D₄	—	26	4	no	—
1002	C₂×D₄	—	26	24	no	—
1003	C₂×D₄	—	26	48	no	—
1004	C₂×D₄	—	26	24	no	—
1005	C₂×D₄	—	26	24	no	—
1006	C₂×D₄	—	26	24	no	—
1007	C₂×D₄	—	26	48	no	—
1008	C₂×D₄	—	26	24	no	—
1009	C₂×D₄	—	26	12	no	—
1010	C₂×D₄	—	52	24	no	—
1011	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1012	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1013	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1014	C₂×D₄	C₂³×D₁₃	1	3	yes	—
1015	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1016	C₂×D₄	C₂³×D₁₃	1	12	yes	—
1017	C₂×D₄	C₂³×D₁₃	1	3	yes	—
1018	C₂²×C₄	—	13	3	no	—
1019	C₂²×C₄	—	13	24	no	—
1020	C₂²×C₄	—	13	1	no	—
1021	C₂²×C₄	—	13	3	no	—
1022	C₂²×C₄	—	13	3	no	—
1023	C₂²×C₄	—	13	3	no	—
1024	C₂²×C₄	—	13	6	no	—
1025	C₂²×C₄	—	13	6	no	—
1026	C₂²×C₄	—	13	6	no	—
1027	C₂²×C₄	—	13	6	no	—
1028	C₂²×C₄	—	13	2	no	—
1029	C₂²×C₄	—	13	6	no	—
1030	C₂²×C₄	—	13	6	no	—
1031	C₂²×C₄	—	13	12	no	—
1032	C₂²×C₄	—	13	2	no	—
1033	C₂²×C₄	—	13	6	no	—
1034	C₂²×C₄	—	13	6	no	—
1035	C₂²×C₄	—	13	6	no	—
1036	C₂²×C₄	—	13	6	no	—
1037	C₂²×C₄	—	13	6	no	—
1038	C₂²×C₄	—	13	6	no	—
1039	C₂²×C₄	—	26	24	no	—
1040	C₂²×C₄	—	26	24	no	—
1041	C₂²×C₄	—	26	24	no	—
1042	C₂²×C₄	—	52	12	no	—
1043	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1044	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1045	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1046	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1047	C₂²×C₄	C₂³×D₁₃	1	3	yes	—
1048	C₄⋊C₄	—	13	12	no	—
1049	C₄⋊C₄	—	13	6	no	—
1050	C₄⋊C₄	—	13	12	no	—
1051	C₄⋊C₄	—	13	12	no	—
1052	C₄⋊C₄	—	13	12	no	—
1053	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1054	C₄⋊C₄	C₂³×D₁₃	1	12	yes	—
1055	C₂²⋊C₄	—	13	12	no	—
1056	C₂²⋊C₄	—	13	24	no	—
1057	C₂²⋊C₄	—	13	6	no	—
1058	C₂²⋊C₄	—	13	4	no	—
1059	C₂²⋊C₄	—	13	12	no	—
1060	C₂²⋊C₄	—	13	12	no	—
1061	C₂²⋊C₄	—	13	24	no	—
1062	C₂²⋊C₄	—	13	24	no	—
1063	C₂²⋊C₄	—	13	12	no	—
1064	C₂²⋊C₄	—	13	4	no	—
1065	C₂²⋊C₄	—	13	4	no	—
1066	C₂²⋊C₄	C₂³×D₁₃	1	12	yes	—
1067	C₂²⋊C₄	C₂³×D₁₃	1	24	yes	—
1068	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1069	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1070	C₄²	—	13	2	no	—
1071	C₄²	—	13	1	no	—
1072	C₄²	—	13	6	no	—
1073	C₄²	—	13	3	no	—
1074	C₄²	—	13	6	no	—
1075	C₄²	—	13	6	no	—
1076	C₄²	—	13	6	no	—
1077	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1078	C₄²	C₂³×D₁₃	1	3	yes	—
1079	C₄²	C₂³×D₁₃	1	6	yes	—
1080	C₁₃	C₂×#3500	1	1	yes	characteristic, complemented, Sylow
1081	C₂³	—	2	12	no	—
1082	C₂³	—	4	12	no	—
1083	C₂³	—	13	1	no	—
1084	C₂³	—	13	12	no	—
1085	C₂³	—	13	3	no	—
1086	C₂³	—	13	6	no	—
1087	C₂³	—	13	2	no	—
1088	C₂³	—	26	12	no	—
1089	C₂³	—	26	4	no	—
1090	C₂³	—	26	12	no	—
1091	C₂³	—	26	8	no	—
1092	C₂³	—	26	24	no	—
1093	C₂³	—	26	24	no	—
1094	C₂³	—	26	12	no	—
1095	C₂³	—	52	12	no	—
1096	C₂³	—	52	24	no	—
1097	C₂³	—	104	48	no	—
1098	C₂³	C₂⁴×D₁₃	1	6	yes	—
1099	C₂³	C₂⁴×D₁₃	1	2	yes	—
1100	C₂³	C₂⁴×D₁₃	1	3	yes	—
1101	Q₈	—	2	12	no	—
1102	Q₈	—	2	6	no	—
1103	Q₈	—	2	2	no	—
1104	Q₈	—	13	12	no	—
1105	Q₈	—	26	12	no	—
1106	Q₈	—	26	24	no	—
1107	Q₈	—	26	4	no	—
1108	Q₈	—	26	12	no	—
1109	Q₈	—	26	6	no	—
1110	Q₈	—	26	2	no	—
1111	Q₈	C₂×D₄×D₁₃	1	4	yes	—
1112	D₄	—	2	12	no	—
1113	D₄	—	2	12	no	—
1114	D₄	—	2	12	no	—
1115	D₄	—	2	6	no	—
1116	D₄	—	2	2	no	—
1117	D₄	—	4	12	no	—
1118	D₄	—	13	24	no	—
1119	D₄	—	13	12	no	—
1120	D₄	—	26	12	no	—
1121	D₄	—	26	12	no	—
1122	D₄	—	26	12	no	—
1123	D₄	—	26	24	no	—
1124	D₄	—	26	4	no	—
1125	D₄	—	26	12	no	—
1126	D₄	—	26	12	no	—
1127	D₄	—	26	12	no	—
1128	D₄	—	26	12	no	—
1129	D₄	—	26	12	no	—
1130	D₄	—	26	6	no	—
1131	D₄	—	26	2	no	—
1132	D₄	—	52	12	no	—
1133	D₄	—	52	12	no	—
1134	D₄	—	52	12	no	—
1135	D₄	C₂×D₄×D₁₃	1	12	yes	—
1136	C₂×C₄	—	2	12	no	—
1137	C₂×C₄	—	2	12	no	—
1138	C₂×C₄	—	2	12	no	—
1139	C₂×C₄	—	4	6	no	—
1140	C₂×C₄	—	13	12	no	—
1141	C₂×C₄	—	13	1	no	—
1142	C₂×C₄	—	13	3	no	—
1143	C₂×C₄	—	13	4	no	—
1144	C₂×C₄	—	13	12	no	—
1145	C₂×C₄	—	13	12	no	—
1146	C₂×C₄	—	13	12	no	—
1147	C₂×C₄	—	13	2	no	—
1148	C₂×C₄	—	13	6	no	—
1149	C₂×C₄	—	13	6	no	—
1150	C₂×C₄	—	13	2	no	—
1151	C₂×C₄	—	26	12	no	—
1152	C₂×C₄	—	26	12	no	—
1153	C₂×C₄	—	26	4	no	—
1154	C₂×C₄	—	26	12	no	—
1155	C₂×C₄	—	26	24	no	—
1156	C₂×C₄	—	26	4	no	—
1157	C₂×C₄	—	26	12	no	—
1158	C₂×C₄	—	26	12	no	—
1159	C₂×C₄	—	26	12	no	—
1160	C₂×C₄	—	26	12	no	—
1161	C₂×C₄	—	26	12	no	—
1162	C₂×C₄	—	26	12	no	—
1163	C₂×C₄	—	52	6	no	—
1164	C₂×C₄	—	52	6	no	—
1165	C₂×C₄	—	52	6	no	—
1166	C₂×C₄	C₂×D₄×D₁₃	1	12	yes	—
1167	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1168	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1169	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1170	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1171	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1172	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1173	C₂²	—	2	6	no	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	2	6	no	—
1176	C₂²	—	2	4	no	—
1177	C₂²	—	2	12	no	—
1178	C₂²	—	8	12	no	—
1179	C₂²	—	13	2	no	—
1180	C₂²	—	13	4	no	—
1181	C₂²	—	13	6	no	—
1182	C₂²	—	26	24	no	—
1183	C₂²	—	26	6	no	—
1184	C₂²	—	26	2	no	—
1185	C₂²	—	26	6	no	—
1186	C₂²	—	26	4	no	—
1187	C₂²	—	26	12	no	—
1188	C₂²	—	52	8	no	—
1189	C₂²	—	52	24	no	—
1190	C₂²	—	104	12	no	—
1191	C₂²	—	104	24	no	—
1192	C₂²	C₂²×D₄×D₁₃	1	6	yes	—
1193	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1194	C₄	—	2	2	no	—
1195	C₄	—	2	6	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	6	no	—
1198	C₄	—	13	2	no	—
1199	C₄	—	13	6	no	—
1200	C₄	—	26	2	no	—
1201	C₄	—	26	6	no	—
1202	C₄	—	26	2	no	—
1203	C₄	—	26	6	no	—
1204	C₄	C₂²×D₄×D₁₃	1	6	yes	—
1205	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1206	C₂	—	2	6	no	—
1207	C₂	—	4	6	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	13	4	no	—
1210	C₂	—	26	6	no	—
1211	C₂	—	52	6	no	—
1212	C₂	—	52	2	no	—
1213	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1214	C₂	D₁₃×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3500	C₂
hypercenter	#3500	D₁₃
hypocenter	C₁₃	C₂×#3500
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3500

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₃×2₋¹⁺⁴	C₂	semidirect
2. C₂×D₁₃×H(5,𝔽₂)	C₂	semidirect
3. #13128630	C₂	semidirect
4. #13128629	C₂	semidirect
5. #13128628	C₂	semidirect
6. #13128627	C₂	semidirect
7. #13128626	C₂	semidirect
8. #13128625	C₂	semidirect
9. #13128624	C₂	semidirect
10. #13128623	C₂	semidirect
11. #13128622	C₂	semidirect
12. D₁₃×#548	C₂	semidirect
13. D₁₃×#546	C₂	semidirect
14. D₁₃×#536	C₂	semidirect
15. D₁₃×#535	C₂	semidirect
16. D₁₃×#532	C₂	semidirect
17. C₂×D₁₃×#124	C₂	semidirect
18. C₄×#41×D₁₃	C₂	semidirect
19. C₁₃×#3500	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
24. C₂×#88257	C₂²	semidirect
25. C₂×#88257	C₂²	semidirect
26. C₂×#88257	C₂²	semidirect
27. C₂×#88256	C₂²	semidirect
28. C₂×#88256	C₂²	semidirect
29. C₂×#88256	C₂²	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
34. C₂×#41×D₁₃	C₂²	semidirect
35. C₂×#88254	C₂²	semidirect
36. C₂×#88254	C₂²	semidirect
37. C₂²×Q₈×D₁₃	C₂²	semidirect
38. C₂²×Q₈×D₁₃	C₂²	semidirect
39. C₂×#88251	C₂²	semidirect
40. C₂×#88251	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
44. C₁₃×#546	C₂²	semidirect
45. C₁₃×#536	C₂²	semidirect
46. C₁₃×#535	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
48. C₂×C₁₃×#124	C₂²	semidirect
49. C₄×C₁₃×#41	C₂²	semidirect
50. #11719537	C₂²	semidirect
51. #11719537	C₂²	semidirect
52. #11719536	C₂²	semidirect
53. #11719535	C₂²	semidirect
54. #11719534	C₂²	semidirect
55. #41×Dic₁₃	C₂²	semidirect
56. #11719530	C₂²	semidirect
57. #11719522	C₂²	semidirect
58. #11719521	C₂²	semidirect
59. C₂×#88201	C₂²	semidirect
60. #11719511	C₂²	semidirect
61. #11719510	C₂²	semidirect
62. C₂×#88190	C₂²	semidirect
63. #11719430	C₂²	semidirect
64. #11719429	C₂²	semidirect
65. D₁₃×C₄⋊Q₈	C₂²	semidirect
66. #11719421	C₂²	semidirect
67. #11719420	C₂²	semidirect
68. D₁₃×#127	C₂²	semidirect
69. #11719382	C₂²	semidirect
70. #11719381	C₂²	semidirect
71. #11719380	C₂²	semidirect
72. #11719379	C₂²	semidirect
73. D₁₃×#124	C₂²	semidirect
74. D₁₃×#124	C₂²	semidirect
75. D₁₃×#124	C₂²	semidirect
76. D₁₃×#124	C₂²	semidirect
77. D₁₃×#124	C₂²	semidirect
78. D₁₃×#124	C₂²	semidirect
79. D₁₃×#124	C₂²	semidirect
80. #11719373	C₂²	semidirect
81. #11719373	C₂²	semidirect
82. #11719359	C₂²	semidirect
83. D₁₃×#123	C₂²	semidirect
84. #11719353	C₂²	semidirect
85. #11719338	C₂²	semidirect
86. #11719335	C₂²	semidirect
87. #11719333	C₂²	semidirect
88. D₁₃×C₂²⋊Q₈	C₂²	semidirect
89. #11719317	C₂²	semidirect
90. #11719315	C₂²	semidirect
91. #11719312	C₂²	semidirect
92. D₁₃×#121	C₂²	semidirect
93. D₁₃×#121	C₂²	semidirect
94. #11719303	C₂²	semidirect
95. #11719301	C₂²	semidirect
96. #11719297	C₂²	semidirect
97. #11719296	C₂²	semidirect
98. D₁₃×#120	C₂²	semidirect
99. #11719281	C₂²	semidirect
100. C₄×#6131	C₂²	semidirect
101. C₄×Q₈×D₁₃	C₂²	semidirect
102. #11719259	C₂²	semidirect
103. #11719257	C₂²	semidirect
104. #11719255	C₂²	semidirect
105. #11719253	C₂²	semidirect
106. C₄×D₄×D₁₃	C₂²	semidirect
107. C₄×D₄×D₁₃	C₂²	semidirect
108. C₄×#6129	C₂²	semidirect
109. #11719231	C₂²	semidirect
110. #11719230	C₂²	semidirect
111. #11719227	C₂²	semidirect
112. D₁₃×#117	C₂²	semidirect
113. C₂×#88139	C₂²	semidirect
114. #11719195	C₂²	semidirect
115. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
116. #11719182	C₂²	semidirect
117. C₂×#88129	C₂²	semidirect
118. C₄×#6127	C₂²	semidirect
119. C₂×C₄²×D₁₃	C₂²	semidirect
126. C₂×C₁₃×#41	C₂³	semidirect
127. C₂×C₁₃×#41	C₂³	semidirect
128. C₂²×Q₈×C₁₃	C₂³	semidirect
129. C₂²×Q₈×C₁₃	C₂³	semidirect
144. #41×D₁₃	D₄	semidirect
150. C₂×#6131	C₂³	semidirect
151. C₂×#6131	C₂³	semidirect
158. C₂×Q₈×D₁₃	C₂³	semidirect
159. C₂×Q₈×D₁₃	C₂³	semidirect
160. C₂×Q₈×D₁₃	C₂³	semidirect
161. C₂×Q₈×D₁₃	C₂³	semidirect
168. C₂×#6129	C₂³	semidirect
169. C₂×#6129	C₂³	semidirect
170. C₂×#6129	C₂³	semidirect
171. C₂×#6129	C₂³	semidirect
190. C₂×#6127	C₂³	semidirect
191. C₂×#6127	C₂³	semidirect
192. C₂×#6127	C₂³	semidirect
193. C₂×#6127	C₂³	semidirect
201. C₂²×Dic₂₆	C₂³	semidirect
202. C₂²×Dic₂₆	C₂³	semidirect
203. C₂²×Dic₂₆	C₂³	semidirect
204. C₁₃×C₄⋊Q₈	C₂³	semidirect
205. C₁₃×#127	C₂³	semidirect
206. C₁₃×#124	C₂³	semidirect
207. C₁₃×#124	C₂³	semidirect
208. C₁₃×#124	C₂³	semidirect
209. C₁₃×#124	C₂³	semidirect
210. C₁₃×#123	C₂³	semidirect
211. C₁₃×C₂²⋊Q₈	C₂³	semidirect
212. C₁₃×#121	C₂³	semidirect
213. C₁₃×#121	C₂³	semidirect
214. C₁₃×#120	C₂³	semidirect
215. C₄×Q₈×C₁₃	C₂³	semidirect
216. C₄×D₄×C₁₃	C₂³	semidirect
217. C₄×D₄×C₁₃	C₂³	semidirect
218. C₁₃×#117	C₂³	semidirect
219. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
220. C₂×C₄²×C₁₃	C₂³	semidirect
221. #88207	C₂³	semidirect
222. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
223. #88201	C₂³	semidirect
224. #88201	C₂³	semidirect
225. #88201	C₂³	semidirect
226. #88201	C₂³	semidirect
227. #88200	C₂³	semidirect
228. Q₈×Dic₁₃	C₂³	semidirect
229. #88198	C₂³	semidirect
230. #88198	C₂³	semidirect
231. #88194	C₂³	semidirect
232. #88194	C₂³	semidirect
233. #88194	C₂³	semidirect
234. #88193	C₂³	semidirect
235. #88193	C₂³	semidirect
236. #88193	C₂³	semidirect
237. #88192	C₂³	semidirect
238. #88192	C₂³	semidirect
239. #88191	C₂³	semidirect
240. #88191	C₂³	semidirect
241. #88190	C₂³	semidirect
242. #88190	C₂³	semidirect
243. #88190	C₂³	semidirect
244. #88190	C₂³	semidirect
245. #88189	C₂³	semidirect
246. D₄×Dic₁₃	C₂³	semidirect
247. D₄×Dic₁₃	C₂³	semidirect
248. #88184	C₂³	semidirect
249. #88184	C₂³	semidirect
250. #88183	C₂³	semidirect
251. C₄×C₂²⋊D₁₃	C₂³	semidirect
252. C₄×C₂²⋊D₁₃	C₂³	semidirect
253. C₄×C₂²⋊D₁₃	C₂³	semidirect
254. C₂×#6103	C₂³	semidirect
255. C₂×#6103	C₂³	semidirect
256. #88180	C₂³	semidirect
257. #88178	C₂³	semidirect
258. C₂×C₄×Dic₁₃	C₂³	semidirect
259. C₂×C₄×Dic₁₃	C₂³	semidirect
260. #88151	C₂³	semidirect
261. #88150	C₂³	semidirect
262. #88149	C₂³	semidirect
263. #88149	C₂³	semidirect
264. #88148	C₂³	semidirect
265. #88147	C₂³	semidirect
266. #88147	C₂³	semidirect
267. #88146	C₂³	semidirect
270. #88142	C₂³	semidirect
271. #88141	C₂³	semidirect
272. #88140	C₂³	semidirect
273. #88139	C₂³	semidirect
274. #88139	C₂³	semidirect
275. #88139	C₂³	semidirect
276. #88139	C₂³	semidirect
277. #88139	C₂³	semidirect
278. #88138	C₂³	semidirect
279. #88138	C₂³	semidirect
280. #88138	C₂³	semidirect
281. #88137	C₂³	semidirect
282. #88136	C₂³	semidirect
283. #88136	C₂³	semidirect
284. #88135	C₂³	semidirect
285. #88135	C₂³	semidirect
286. #88135	C₂³	semidirect
291. C₂²⋊C₄×D₁₃	C₂³	semidirect
292. C₂²⋊C₄×D₁₃	C₂³	semidirect
293. #88132	C₂³	semidirect
294. #88131	C₂³	semidirect
295. #88129	C₂³	semidirect
296. #88129	C₂³	semidirect
297. #88129	C₂³	semidirect
298. #88129	C₂³	semidirect
299. #88128	C₂³	semidirect
300. C₄×D₅₂	C₂³	semidirect
301. C₄×D₅₂	C₂³	semidirect
302. #88126	C₂³	semidirect
306. C₄²×D₁₃	C₂³	semidirect
307. C₄²×D₁₃	C₂³	semidirect
308. C₄²×D₁₃	C₂³	semidirect
309. #88123	C₂³	semidirect
310. C₄×Dic₂₆	C₂³	semidirect
324. C₁₃×#41	C₂×D₄	semidirect
366. #6131	C₂×D₄	semidirect
382. #6129	C₂×D₄	semidirect
402. #6127	C₂×D₄	semidirect
485. #3500	D₁₃	direct (N × H)
591. C₂×2₋¹⁺⁴	C₂×D₁₃	semidirect
598. C₂×H(5,𝔽₂)	C₂×D₁₃	semidirect
615. #548	C₂×D₁₃	semidirect
627. #546	C₂×D₁₃	semidirect
635. #536	C₂×D₁₃	semidirect
643. #535	C₂×D₁₃	semidirect
653. #532	C₂×D₁₃	semidirect
667. C₂×#124	C₂×D₁₃	semidirect
678. C₄×#41	C₂×D₁₃	semidirect
760. C₂×#41	C₂²×D₁₃	semidirect
761. C₂×#41	C₂²×D₁₃	semidirect
775. C₂²×Q₈	C₂²×D₁₃	semidirect
776. C₂²×Q₈	C₂²×D₁₃	semidirect
806. C₄⋊Q₈	C₂²×D₁₃	semidirect
811. #127	C₂²×D₁₃	semidirect
829. #124	C₂²×D₁₃	semidirect
830. #124	C₂²×D₁₃	semidirect
831. #124	C₂²×D₁₃	semidirect
832. #124	C₂²×D₁₃	semidirect
838. #123	C₂²×D₁₃	semidirect
844. C₂²⋊Q₈	C₂²×D₁₃	semidirect
857. #121	C₂²×D₁₃	semidirect
858. #121	C₂²×D₁₃	semidirect
864. #120	C₂²×D₁₃	semidirect
868. C₄×Q₈	C₂²×D₁₃	semidirect
881. C₄×D₄	C₂²×D₁₃	semidirect
882. C₄×D₄	C₂²×D₁₃	semidirect
887. #117	C₂²×D₁₃	semidirect
899. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
908. C₂×C₄²	C₂²×D₁₃	semidirect
917. D₁₃	#3500	direct (N × H)
951. #41	D₄×D₁₃	semidirect
1080. C₁₃	C₂×#3500	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×2₋¹⁺⁴	2
C₂×D₁₃×H(5,𝔽₂)	2
#13128630	2
#13128629	2
#13128628	2
#13128627	2
#13128626	2
#13128625	2
#13128624	2
#13128623	2
#13128622	2
D₁₃×#548	2
D₁₃×#546	2
D₁₃×#536	2
D₁₃×#535	2
D₁₃×#532	2
C₂×D₁₃×#124	2
C₄×#41×D₁₃	2
C₁₃×#3500	2
C₂×#3500	13

Subgroups — D13×#3500 #16771383

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3500 #16771383