Subgroups — D₄×#41×D₁₃ #16769872

Order 3328.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#41×D₁₃	C₂	1	2	yes	maximal, complemented
2	D₄×#6131	C₂	1	1	yes	maximal, characteristic, complemented
3	#41×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128326	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128325	C₂	1	2	yes	maximal, complemented
6	D₄×#6127	C₂	1	3	yes	maximal, complemented
7	#13128323	C₂	1	3	yes	maximal, complemented
8	#13128322	C₂	1	3	yes	maximal, complemented
9	#41×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
10	#13128320	C₂	1	6	yes	maximal, complemented
11	#13128319	C₂	1	6	yes	maximal, complemented
12	D₄×#6129	C₂	1	3	yes	maximal, complemented
13	D₁₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#548	C₂	1	2	yes	maximal, complemented
16	D₁₃×#547	C₂	1	3	yes	maximal, complemented
17	D₁₃×#546	C₂	1	6	yes	maximal, complemented
18	D₄²×D₁₃	C₂	1	3	yes	maximal, complemented
19	D₁₃×#532	C₂	1	3	yes	maximal, complemented
20	D₁₃×#525	C₂	1	6	yes	maximal, complemented
21	C₄×#41×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₁₃	C₂	1	3	yes	maximal, complemented
23	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
25	C₂×#41×D₁₃	—	2	32	no	—
26	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
27	C₂×#41×D₁₃	C₂²	1	6	yes	complemented
28	C₂×#41×D₁₃	C₂²	1	2	yes	complemented
29	C₂×#41×D₁₃	C₂²	1	6	yes	complemented
30	C₂×#41×D₁₃	C₂²	1	6	yes	complemented
31	C₂×#41×D₁₃	C₂²	1	6	yes	complemented
32	C₂×#41×D₁₃	C₂²	1	2	yes	complemented
33	C₂×#41×D₁₃	C₂²	1	2	yes	complemented
34	C₂²×#6131	C₂²	1	2	yes	complemented
35	C₂²×Q₈×D₁₃	C₂²	1	2	yes	complemented
36	C₂²×#6129	C₂²	1	6	yes	complemented
37	C₂²×D₄×D₁₃	C₂²	1	3	yes	—
38	C₂²×D₄×D₁₃	C₂²	1	6	yes	complemented
39	C₂²×#6127	C₂²	1	6	yes	complemented
40	C₂³×C₄×D₁₃	C₂²	1	6	yes	complemented
41	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
42	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#548	C₂²	1	2	yes	complemented
44	C₁₃×#547	C₂²	1	3	yes	complemented
45	C₁₃×#546	C₂²	1	6	yes	complemented
46	D₄²×C₁₃	C₂²	1	3	yes	complemented
47	C₁₃×#532	C₂²	1	3	yes	complemented
48	C₁₃×#525	C₂²	1	6	yes	complemented
49	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	complemented
51	#11719539	C₂²	1	2	yes	complemented
52	#11719537	C₂²	1	6	yes	complemented
53	#11719536	C₂²	1	2	yes	complemented
54	#11719534	C₂²	1	6	yes	complemented
55	#11719533	C₂²	1	6	yes	complemented
56	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
57	#11719529	C₂²	1	6	yes	complemented
58	#11719522	C₂²	1	2	yes	complemented
59	Q₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
60	#11719511	C₂²	1	6	yes	complemented
61	D₄×C₂²⋊D₁₃	C₂²	1	6	yes	complemented
62	D₄×C₂²⋊D₁₃	C₂²	1	6	yes	complemented
63	C₂×D₄×Dic₁₃	C₂²	1	3	yes	complemented
64	#11719496	C₂²	1	6	yes	complemented
65	C₂×C₄×C₂²⋊D₁₃	C₂²	1	6	yes	complemented
66	#11719432	C₂²	1	3	yes	complemented
67	#11719431	C₂²	1	3	yes	complemented
68	#11719430	C₂²	1	3	yes	complemented
69	D₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
70	#11719423	C₂²	1	3	yes	complemented
71	#11719422	C₂²	1	3	yes	complemented
72	#11719421	C₂²	1	3	yes	complemented
73	D₁₃×#127	C₂²	1	3	yes	complemented
74	#11719382	C₂²	1	6	yes	complemented
75	#11719381	C₂²	1	6	yes	complemented
76	D₁₃×#124	C₂²	1	6	yes	complemented
77	#11719373	C₂²	1	6	yes	complemented
78	#11719361	C₂²	1	12	yes	complemented
79	#11719360	C₂²	1	12	yes	complemented
80	#11719359	C₂²	1	12	yes	complemented
81	D₁₃×#123	C₂²	1	12	yes	complemented
82	#11719338	C₂²	1	6	yes	complemented
83	#11719337	C₂²	1	6	yes	complemented
84	#11719336	C₂²	1	6	yes	complemented
85	#11719335	C₂²	1	6	yes	complemented
86	#11719332	C₂²	1	6	yes	complemented
87	#11719332	C₂²	1	6	yes	complemented
88	D₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
89	D₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
90	#11719317	C₂²	1	6	yes	complemented
91	#11719316	C₂²	1	6	yes	complemented
92	#11719315	C₂²	1	12	yes	complemented
93	#11719314	C₂²	1	6	yes	complemented
94	#11719314	C₂²	1	6	yes	complemented
95	#11719311	C₂²	1	6	yes	complemented
96	#11719311	C₂²	1	6	yes	complemented
97	D₁₃×#121	C₂²	1	6	yes	complemented
98	D₁₃×#121	C₂²	1	6	yes	complemented
99	D₁₃×#121	C₂²	1	6	yes	complemented
100	D₁₃×#121	C₂²	1	6	yes	complemented
101	#11719304	C₂²	1	6	yes	complemented
102	#11719303	C₂²	1	6	yes	complemented
103	#11719301	C₂²	1	6	yes	complemented
104	#11719301	C₂²	1	6	yes	complemented
105	#11719296	C₂²	1	12	yes	complemented
106	#11719295	C₂²	1	12	yes	complemented
107	D₁₃×#120	C₂²	1	12	yes	complemented
108	#11719291	C₂²	1	12	yes	complemented
109	#11719282	C₂²	1	1	yes	characteristic, complemented
110	#11719281	C₂²	1	2	yes	complemented
111	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
112	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
113	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
114	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
115	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
116	#11719260	C₂²	1	3	yes	complemented
117	#11719259	C₂²	1	6	yes	complemented
118	#11719258	C₂²	1	3	yes	complemented
119	#11719257	C₂²	1	6	yes	complemented
120	#11719256	C₂²	1	3	yes	complemented
121	#11719255	C₂²	1	6	yes	complemented
122	D₄×D₅₂	C₂²	1	3	yes	complemented
123	D₄×D₅₂	C₂²	1	3	yes	complemented
124	#11719253	C₂²	1	6	yes	complemented
125	#11719253	C₂²	1	6	yes	complemented
126	#11719252	C₂²	1	12	yes	complemented
127	#11719252	C₂²	1	12	yes	complemented
128	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
129	C₄×D₄×D₁₃	C₂²	1	3	yes	—
130	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
131	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
132	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
133	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
134	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
135	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
136	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
137	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
138	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
139	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
140	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
141	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
142	C₄×D₄×D₁₃	C₂²	1	3	yes	complemented
143	D₄×Dic₂₆	C₂²	1	3	yes	complemented
144	C₄×#6129	C₂²	1	3	yes	complemented
145	C₄×#6129	C₂²	1	3	yes	complemented
146	#11719229	C₂²	1	6	yes	complemented
147	#11719227	C₂²	1	3	yes	complemented
148	D₁₃×#117	C₂²	1	3	yes	complemented
149	#11719212	C₂²	1	6	yes	complemented
150	C₂×#88147	C₂²	1	3	yes	complemented
151	C₂×C₄⋊C₄×D₁₃	C₂²	1	3	yes	complemented
152	#11719195	C₂²	1	12	yes	complemented
153	C₂×#88135	C₂²	1	6	yes	complemented
154	C₂×C₂²⋊C₄×D₁₃	C₂²	1	6	yes	complemented
155	#11719182	C₂²	1	3	yes	complemented
156	C₄×#6127	C₂²	1	3	yes	complemented
157	C₂×C₄×D₅₂	C₂²	1	3	yes	complemented
158	C₂×C₄²×D₁₃	C₂²	1	3	yes	complemented
159	C₂⁴×D₁₃	C₂³	1	6	yes	—
160	C₂×C₁₃×#41	—	2	16	no	—
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×#41	C₂³	1	6	yes	complemented
163	C₂×C₁₃×#41	C₂³	1	6	yes	complemented
164	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
165	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
166	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
167	C₂²×D₄×C₁₃	C₂³	1	6	yes	complemented
168	C₂³×C₄×C₁₃	C₂³	1	6	yes	complemented
169	C₂²×C₂²⋊D₁₃	C₂³	1	6	yes	—
170	C₂²×C₂²⋊D₁₃	C₂³	1	12	yes	complemented
171	C₂³×Dic₁₃	C₂³	1	6	yes	complemented
172	#41×D₁₃	—	2	16	no	—
173	#41×D₁₃	—	2	16	no	—
174	#41×D₁₃	—	2	16	no	—
175	#41×D₁₃	—	2	48	no	—
176	#41×D₁₃	—	2	48	no	—
177	#41×D₁₃	—	2	48	no	—
178	#41×D₁₃	—	2	48	no	—
179	#41×D₁₃	D₄	1	16	yes	direct product factor
180	C₂×#6131	—	2	16	no	—
181	C₂×#6131	C₂³	1	1	yes	characteristic
182	C₂×#6131	C₂³	1	6	yes	complemented
183	C₂×#6131	C₂³	1	6	yes	complemented
184	C₂×#6131	C₂³	1	2	yes	complemented
185	C₂×Q₈×D₁₃	—	2	16	no	—
186	C₂×Q₈×D₁₃	C₂³	1	6	yes	—
187	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
188	C₂×Q₈×D₁₃	C₂³	1	6	yes	complemented
189	C₂×Q₈×D₁₃	C₂³	1	2	yes	complemented
190	C₂×#6129	—	2	48	no	—
191	C₂×#6129	C₂³	1	3	yes	—
192	C₂×#6129	C₂³	1	6	yes	complemented
193	C₂×#6129	C₂³	1	12	yes	complemented
194	C₂×#6129	C₂³	1	12	yes	complemented
195	C₂×#6129	C₂³	1	6	yes	complemented
196	C₂×#6129	C₂³	1	6	yes	complemented
197	C₂×D₄×D₁₃	—	2	48	no	—
198	C₂×D₄×D₁₃	—	2	24	no	—
199	C₂×D₄×D₁₃	C₂³	1	3	yes	—
200	C₂×D₄×D₁₃	C₂³	1	6	yes	—
201	C₂×D₄×D₁₃	C₂³	1	6	yes	—
202	C₂×D₄×D₁₃	C₂³	1	3	yes	—
203	C₂×D₄×D₁₃	C₂³	1	3	yes	—
204	C₂×D₄×D₁₃	C₂³	1	12	yes	—
205	C₂×D₄×D₁₃	C₂³	1	6	yes	—
206	C₂×D₄×D₁₃	C₂³	1	6	yes	—
207	C₂×D₄×D₁₃	C₂³	1	3	yes	—
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	C₂³	1	6	yes	complemented
210	C₂×D₄×D₁₃	C₂³	1	12	yes	complemented
211	C₂×D₄×D₁₃	C₂³	1	6	yes	complemented
212	C₂×#6127	—	2	48	no	—
213	C₂×#6127	C₂³	1	3	yes	—
214	C₂×#6127	C₂³	1	6	yes	complemented
215	C₂×#6127	C₂³	1	12	yes	complemented
216	C₂×#6127	C₂³	1	12	yes	complemented
217	C₂×#6127	C₂³	1	6	yes	complemented
218	C₂×#6127	C₂³	1	6	yes	complemented
219	C₂²×D₅₂	C₂³	1	3	yes	—
220	C₂²×D₅₂	C₂³	1	6	yes	complemented
221	C₂²×C₄×D₁₃	—	2	48	no	—
222	C₂²×C₄×D₁₃	C₂³	1	3	yes	—
223	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
224	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
225	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
226	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
227	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
228	C₂²×C₄×D₁₃	C₂³	1	3	yes	—
229	C₂²×C₄×D₁₃	C₂³	1	3	yes	—
230	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
231	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
232	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
233	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
234	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
235	C₂²×C₄×D₁₃	C₂³	1	6	yes	complemented
236	C₂²×Dic₂₆	C₂³	1	6	yes	complemented
237	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	complemented
238	C₁₃×#127	C₂³	1	3	yes	complemented
239	C₁₃×#124	C₂³	1	6	yes	complemented
240	C₁₃×#123	C₂³	1	12	yes	complemented
241	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
242	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
243	C₁₃×#121	C₂³	1	6	yes	complemented
244	C₁₃×#121	C₂³	1	6	yes	complemented
245	C₁₃×#121	C₂³	1	6	yes	complemented
246	C₁₃×#121	C₂³	1	6	yes	complemented
247	C₁₃×#120	C₂³	1	12	yes	complemented
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
250	C₄×D₄×C₁₃	C₂³	1	3	yes	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	3	yes	complemented
253	C₄×D₄×C₁₃	C₂³	1	3	yes	complemented
254	C₄×D₄×C₁₃	C₂³	1	6	yes	complemented
255	C₄×D₄×C₁₃	C₂³	1	3	yes	complemented
256	C₄×D₄×C₁₃	C₂³	1	6	yes	complemented
257	C₄×D₄×C₁₃	C₂³	1	3	yes	complemented
258	C₄×D₄×C₁₃	C₂³	1	6	yes	complemented
259	C₁₃×#117	C₂³	1	3	yes	complemented
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	complemented
261	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
262	C₂×C₄²×C₁₃	C₂³	1	3	yes	complemented
263	#88207	C₂³	1	12	yes	complemented
264	C₂×C₂²⋊Dic₁₃	C₂³	1	6	yes	complemented
265	#88201	C₂³	1	6	yes	complemented
266	#88200	C₂³	1	6	yes	complemented
267	#88200	C₂³	1	6	yes	complemented
268	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
269	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
270	#88198	C₂³	1	6	yes	complemented
271	#88194	C₂³	1	6	yes	complemented
272	#88194	C₂³	1	6	yes	complemented
273	#88194	C₂³	1	6	yes	complemented
274	#88193	C₂³	1	12	yes	complemented
275	#88193	C₂³	1	12	yes	complemented
276	#88193	C₂³	1	12	yes	complemented
277	#88193	C₂³	1	12	yes	complemented
278	#88192	C₂³	1	6	yes	complemented
279	#88192	C₂³	1	6	yes	complemented
280	#88192	C₂³	1	6	yes	complemented
281	#88192	C₂³	1	6	yes	complemented
282	#88191	C₂³	1	12	yes	complemented
283	#88191	C₂³	1	12	yes	complemented
284	#88191	C₂³	1	12	yes	complemented
285	#88190	C₂³	1	6	yes	complemented
286	#88189	C₂³	1	12	yes	complemented
287	D₄×Dic₁₃	C₂³	1	3	yes	—
288	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	D₄×Dic₁₃	C₂³	1	3	yes	complemented
290	D₄×Dic₁₃	C₂³	1	3	yes	complemented
291	D₄×Dic₁₃	C₂³	1	6	yes	complemented
292	D₄×Dic₁₃	C₂³	1	6	yes	complemented
293	D₄×Dic₁₃	C₂³	1	3	yes	complemented
294	D₄×Dic₁₃	C₂³	1	3	yes	complemented
295	D₄×Dic₁₃	C₂³	1	6	yes	complemented
296	#88184	C₂³	1	6	yes	complemented
297	#88184	C₂³	1	6	yes	complemented
298	#88184	C₂³	1	6	yes	complemented
299	#88184	C₂³	1	6	yes	complemented
300	#88183	C₂³	1	12	yes	complemented
301	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
302	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	—
303	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
304	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
305	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
306	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
307	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
308	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
309	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
310	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
311	C₄×C₂²⋊D₁₃	C₂³	1	12	yes	complemented
312	C₂×#6103	C₂³	1	6	yes	complemented
313	C₂×#6103	C₂³	1	6	yes	complemented
314	#88180	C₂³	1	3	yes	complemented
315	C₂×C₄⋊Dic₁₃	C₂³	1	3	yes	complemented
316	#88178	C₂³	1	6	yes	complemented
317	#88178	C₂³	1	6	yes	complemented
318	C₂×#6101	C₂³	1	6	yes	complemented
319	C₂×C₄×Dic₁₃	C₂³	1	3	yes	complemented
320	C₂×C₄×Dic₁₃	C₂³	1	3	yes	complemented
321	C₂×C₄×Dic₁₃	C₂³	1	3	yes	complemented
322	#88151	C₂³	1	6	yes	complemented
323	#88151	C₂³	1	6	yes	complemented
324	#88150	C₂³	1	12	yes	complemented
325	#88150	C₂³	1	12	yes	complemented
326	#88149	C₂³	1	6	yes	complemented
327	#88149	C₂³	1	6	yes	complemented
328	#88149	C₂³	1	6	yes	complemented
329	#88149	C₂³	1	6	yes	complemented
330	#88148	C₂³	1	12	yes	complemented
331	#88148	C₂³	1	12	yes	complemented
332	#88147	C₂³	1	3	yes	—
333	#88147	C₂³	1	1	yes	characteristic
334	#88147	C₂³	1	3	yes	complemented
335	#88147	C₂³	1	6	yes	complemented
336	#88147	C₂³	1	3	yes	complemented
337	#88147	C₂³	1	6	yes	complemented
338	#88147	C₂³	1	6	yes	complemented
339	#88147	C₂³	1	3	yes	complemented
340	#88147	C₂³	1	3	yes	complemented
341	#88146	C₂³	1	3	yes	complemented
342	#88146	C₂³	1	3	yes	complemented
343	C₄⋊C₄×D₁₃	C₂³	1	3	yes	—
344	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
347	C₄⋊C₄×D₁₃	C₂³	1	3	yes	—
348	C₄⋊C₄×D₁₃	C₂³	1	3	yes	—
349	C₄⋊C₄×D₁₃	C₂³	1	3	yes	complemented
350	C₄⋊C₄×D₁₃	C₂³	1	3	yes	complemented
351	C₄⋊C₄×D₁₃	C₂³	1	6	yes	complemented
352	#88142	C₂³	1	6	yes	complemented
353	#88142	C₂³	1	6	yes	complemented
354	#88141	C₂³	1	3	yes	complemented
355	#88141	C₂³	1	3	yes	complemented
356	#88140	C₂³	1	12	yes	complemented
357	#88139	C₂³	1	12	yes	complemented
358	#88139	C₂³	1	12	yes	complemented
359	#88138	C₂³	1	12	yes	complemented
360	#88138	C₂³	1	12	yes	complemented
361	#88138	C₂³	1	12	yes	complemented
362	#88138	C₂³	1	12	yes	complemented
363	#88137	C₂³	1	12	yes	complemented
364	#88137	C₂³	1	12	yes	complemented
365	#88136	C₂³	1	12	yes	complemented
366	#88136	C₂³	1	12	yes	complemented
367	#88136	C₂³	1	12	yes	complemented
368	#88135	C₂³	1	2	yes	—
369	#88135	C₂³	1	6	yes	—
370	#88135	C₂³	1	6	yes	complemented
371	#88135	C₂³	1	6	yes	complemented
372	#88135	C₂³	1	6	yes	complemented
373	#88135	C₂³	1	6	yes	complemented
374	#88135	C₂³	1	6	yes	complemented
375	#88135	C₂³	1	6	yes	complemented
376	#88135	C₂³	1	6	yes	complemented
377	#88135	C₂³	1	6	yes	complemented
378	#88135	C₂³	1	12	yes	complemented
379	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
380	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
381	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
382	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
383	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
384	C₂²⋊C₄×D₁₃	C₂³	1	12	yes	—
385	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
386	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
387	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
388	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
389	#88132	C₂³	1	12	yes	complemented
390	#88132	C₂³	1	12	yes	complemented
391	#88131	C₂³	1	6	yes	complemented
392	#88129	C₂³	1	6	yes	complemented
393	#88128	C₂³	1	3	yes	complemented
394	C₄×D₅₂	C₂³	1	3	yes	—
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	3	yes	complemented
397	C₄×D₅₂	C₂³	1	3	yes	complemented
398	C₄×D₅₂	C₂³	1	3	yes	complemented
399	C₄×D₅₂	C₂³	1	6	yes	complemented
400	C₄×D₅₂	C₂³	1	6	yes	complemented
401	C₄×D₅₂	C₂³	1	3	yes	complemented
402	C₄×D₅₂	C₂³	1	6	yes	complemented
403	#88126	C₂³	1	6	yes	complemented
404	C₄²×D₁₃	C₂³	1	3	yes	—
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	C₄²×D₁₃	C₂³	1	3	yes	—
407	C₄²×D₁₃	C₂³	1	3	yes	—
408	C₄²×D₁₃	C₂³	1	3	yes	complemented
409	C₄²×D₁₃	C₂³	1	3	yes	complemented
410	C₄²×D₁₃	C₂³	1	3	yes	complemented
411	C₄²×D₁₃	C₂³	1	3	yes	complemented
412	#88123	C₂³	1	3	yes	complemented
413	C₄×Dic₂₆	C₂³	1	3	yes	complemented
414	C₄×Dic₂₆	C₂³	1	3	yes	complemented
415	C₂×D₄×#41	—	13	1	no	maximal, Sylow
416	C₂⁴×C₁₃	C₂⁴	1	6	yes	—
417	C₂³×D₁₃	—	2	24	no	—
418	C₂³×D₁₃	—	2	24	no	—
419	C₂³×D₁₃	—	4	12	no	—
420	C₂³×D₁₃	C₂⁴	1	6	yes	—
421	C₂³×D₁₃	C₂⁴	1	6	yes	—
422	C₂³×D₁₃	C₂⁴	1	6	yes	—
423	C₂³×D₁₃	C₂⁴	1	6	yes	—
424	C₂³×D₁₃	C₂⁴	1	3	yes	—
425	C₂³×D₁₃	C₂⁴	1	2	yes	—
426	C₁₃×#41	—	2	8	no	—
427	C₁₃×#41	—	2	24	no	—
428	C₁₃×#41	—	2	24	no	—
429	C₁₃×#41	C₂×D₄	1	8	yes	complemented
430	C₂×Q₈×C₁₃	—	2	8	no	—
431	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
432	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂×D₄×C₁₃	—	2	24	no	—
434	C₂×D₄×C₁₃	—	2	12	no	—
435	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
440	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
441	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	—	2	24	no	—
443	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
444	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
445	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
446	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
447	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
449	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
450	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
451	C₂×C₂²⋊D₁₃	—	2	48	no	—
452	C₂×C₂²⋊D₁₃	—	2	24	no	—
453	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
454	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
455	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
456	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
457	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
458	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
459	C₂×C₂²⋊D₁₃	C₂⁴	1	12	yes	—
460	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
461	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
462	C₂²×Dic₁₃	—	2	24	no	—
463	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
464	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
465	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
466	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
467	C₂²×Dic₁₃	C₂⁴	1	3	yes	—
468	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
469	C₂²×Dic₁₃	C₂⁴	1	3	yes	—
470	C₂²×Dic₁₃	C₂⁴	1	3	yes	—
471	#6131	—	2	8	no	—
472	#6131	—	2	24	no	—
473	#6131	—	2	24	no	—
474	#6131	C₂×D₄	1	8	yes	complemented
475	Q₈×D₁₃	—	2	8	no	—
476	Q₈×D₁₃	—	2	24	no	—
477	Q₈×D₁₃	—	2	24	no	—
478	Q₈×D₁₃	C₂×D₄	1	8	yes	complemented
479	#6129	—	2	24	no	—
480	#6129	—	2	48	no	—
481	#6129	—	2	48	no	—
482	#6129	—	2	24	no	—
483	#6129	—	2	24	no	—
484	#6129	C₂×D₄	1	24	yes	complemented
485	D₄×D₁₃	—	2	48	no	—
486	D₄×D₁₃	—	2	24	no	—
487	D₄×D₁₃	—	2	24	no	—
488	D₄×D₁₃	—	2	12	no	—
489	D₄×D₁₃	—	2	48	no	—
490	D₄×D₁₃	—	2	24	no	—
491	D₄×D₁₃	—	2	24	no	—
492	D₄×D₁₃	—	2	12	no	—
493	D₄×D₁₃	—	2	24	no	—
494	D₄×D₁₃	—	2	12	no	—
495	D₄×D₁₃	—	4	12	no	—
496	D₄×D₁₃	C₂×D₄	1	24	yes	complemented
497	D₄×D₁₃	#41	1	8	yes	direct product factor
498	#6127	—	2	24	no	—
499	#6127	—	2	48	no	—
500	#6127	—	2	24	no	—
501	#6127	—	2	48	no	—
502	#6127	—	2	24	no	—
503	#6127	C₂×D₄	1	24	yes	complemented
504	C₂×D₅₂	—	2	24	no	—
505	C₂×D₅₂	—	2	12	no	—
506	C₂×D₅₂	C₂⁴	1	3	yes	—
507	C₂×D₅₂	C₂⁴	1	6	yes	—
508	C₂×D₅₂	C₂⁴	1	6	yes	—
509	C₂×D₅₂	C₂⁴	1	12	yes	—
510	C₂×D₅₂	C₂⁴	1	6	yes	—
511	C₂×D₅₂	C₂⁴	1	3	yes	—
512	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
513	C₂×C₄×D₁₃	—	2	24	no	—
514	C₂×C₄×D₁₃	—	2	24	no	—
515	C₂×C₄×D₁₃	—	2	24	no	—
516	C₂×C₄×D₁₃	—	2	8	no	—
517	C₂×C₄×D₁₃	—	2	24	no	—
518	C₂×C₄×D₁₃	—	2	24	no	—
519	C₂×C₄×D₁₃	—	2	24	no	—
520	C₂×C₄×D₁₃	—	2	24	no	—
521	C₂×C₄×D₁₃	—	2	24	no	—
522	C₂×C₄×D₁₃	—	2	24	no	—
523	C₂×C₄×D₁₃	—	2	24	no	—
524	C₂×C₄×D₁₃	—	2	12	no	—
525	C₂×C₄×D₁₃	—	4	6	no	—
526	C₂×C₄×D₁₃	C₂×D₄	1	24	yes	complemented
527	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
529	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
530	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
531	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
532	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
533	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
534	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
535	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
536	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
537	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
538	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
539	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
540	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
541	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
542	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
543	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
544	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
545	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
546	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
548	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
549	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
550	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₂₆	—	2	24	no	—
552	C₂×Dic₂₆	C₂⁴	1	6	yes	—
553	C₂×Dic₂₆	C₂⁴	1	12	yes	—
554	C₂×Dic₂₆	C₂⁴	1	3	yes	—
555	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
556	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
557	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
558	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
559	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
560	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
561	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
562	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
563	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
564	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
565	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
566	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
567	C₄²×C₁₃	C₂⁴	1	3	yes	—
568	C₄²×C₁₃	C₂⁴	1	3	yes	—
569	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₄²×C₁₃	C₂⁴	1	3	yes	—
571	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
572	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
573	C₂²⋊Dic₁₃	C₂⁴	1	12	yes	—
574	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
575	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
576	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
577	#6103	C₂⁴	1	6	yes	—
578	#6103	C₂⁴	1	6	yes	—
579	#6103	C₂⁴	1	2	yes	—
580	#6103	C₂⁴	1	6	yes	—
581	#6103	C₂⁴	1	6	yes	—
582	#6103	C₂⁴	1	6	yes	—
583	#6103	C₂⁴	1	12	yes	—
584	#6103	C₂⁴	1	2	yes	—
585	#6103	C₂⁴	1	6	yes	—
586	#6103	C₂⁴	1	6	yes	—
587	#6103	C₂⁴	1	6	yes	—
588	#6103	C₂⁴	1	12	yes	—
589	C₄⋊Dic₁₃	C₂⁴	1	3	yes	—
590	C₄⋊Dic₁₃	C₂⁴	1	3	yes	—
591	C₄⋊Dic₁₃	C₂⁴	1	3	yes	—
592	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
593	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
594	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
595	#6101	C₂⁴	1	6	yes	—
596	#6101	C₂⁴	1	6	yes	—
597	#6101	C₂⁴	1	6	yes	—
598	#6101	C₂⁴	1	12	yes	—
599	#6101	C₂⁴	1	2	yes	—
600	#6101	C₂⁴	1	6	yes	—
601	#6101	C₂⁴	1	6	yes	—
602	C₄×Dic₁₃	C₂⁴	1	3	yes	—
603	C₄×Dic₁₃	C₂⁴	1	3	yes	—
604	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
605	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
606	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
607	C₄×Dic₁₃	C₂⁴	1	3	yes	—
608	C₄×Dic₁₃	C₂⁴	1	3	yes	—
609	C₄×Dic₁₃	C₂⁴	1	3	yes	—
610	C₄×Dic₁₃	C₂⁴	1	3	yes	—
611	C₄×Dic₁₃	C₂⁴	1	3	yes	—
612	C₄×Dic₁₃	C₂⁴	1	3	yes	—
613	C₄×Dic₁₃	C₂⁴	1	3	yes	—
614	C₂³×#41	—	13	2	no	—
615	D₄×#41	—	13	2	no	—
616	D₄×#41	—	13	1	no	—
617	D₄×#41	—	13	1	no	—
618	D₄×#41	—	13	2	no	—
619	D₄×#41	—	13	3	no	—
620	D₄×#41	—	13	6	no	—
621	D₄×#41	—	13	3	no	—
622	D₄×#41	—	13	3	no	—
623	D₄×#41	—	13	6	no	—
624	D₄×#41	—	13	1	no	—
625	D₄×#41	—	13	3	no	—
626	D₄×#41	D₁₃	1	1	yes	characteristic, direct product factor
627	C₂×#550	—	13	1	no	—
628	C₂×D₄×Q₈	—	13	1	no	—
629	C₂×#548	—	13	2	no	—
630	C₂×#547	—	13	3	no	—
631	C₂×#546	—	13	6	no	—
632	C₂×D₄²	—	13	3	no	—
633	C₂×#532	—	13	3	no	—
634	C₂×#525	—	13	6	no	—
635	C₂×C₄×#41	—	13	1	no	—
636	C₂²×C₄×D₄	—	13	3	no	—
637	C₂³×C₁₃	—	2	12	no	—
638	C₂³×C₁₃	—	2	12	no	—
639	C₂³×C₁₃	—	4	6	no	—
640	C₂³×C₁₃	C₂⁵	1	6	yes	—
641	C₂³×C₁₃	C₂⁵	1	3	yes	—
642	C₂³×C₁₃	C₂⁵	1	2	yes	—
643	C₂²×D₁₃	—	2	4	no	—
644	C₂²×D₁₃	—	2	6	no	—
645	C₂²×D₁₃	—	2	6	no	—
646	C₂²×D₁₃	—	2	4	no	—
647	C₂²×D₁₃	—	2	12	no	—
648	C₂²×D₁₃	—	2	12	no	—
649	C₂²×D₁₃	—	2	12	no	—
650	C₂²×D₁₃	—	2	12	no	—
651	C₂²×D₁₃	—	2	12	no	—
652	C₂²×D₁₃	—	2	12	no	—
653	C₂²×D₁₃	—	2	12	no	—
654	C₂²×D₁₃	—	2	12	no	—
655	C₂²×D₁₃	—	2	12	no	—
656	C₂²×D₁₃	—	4	6	no	—
657	C₂²×D₁₃	—	4	6	no	—
658	C₂²×D₁₃	—	4	6	no	—
659	C₂²×D₁₃	—	4	96	no	—
660	C₂²×D₁₃	C₂²×D₄	1	12	yes	—
661	C₂²×D₁₃	C₂×#41	1	8	yes	complemented
662	C₂²×D₁₃	C₂⁵	1	6	yes	—
663	C₂²×D₁₃	C₂⁵	1	3	yes	—
664	C₂²×D₁₃	C₂⁵	1	2	yes	—
665	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
666	Q₈×C₁₃	—	2	12	no	—
667	Q₈×C₁₃	C₂²×D₄	1	4	yes	complemented
668	D₄×C₁₃	—	2	24	no	—
669	D₄×C₁₃	—	2	12	no	—
670	D₄×C₁₃	—	2	12	no	—
671	D₄×C₁₃	—	2	6	no	—
672	D₄×C₁₃	—	4	6	no	—
673	D₄×C₁₃	C₂²×D₄	1	12	yes	complemented
674	D₄×C₁₃	C₂×#41	1	4	yes	complemented
675	C₂×C₄×C₁₃	—	2	12	no	—
676	C₂×C₄×C₁₃	—	2	12	no	—
677	C₂×C₄×C₁₃	—	2	4	no	—
678	C₂×C₄×C₁₃	—	2	12	no	—
679	C₂×C₄×C₁₃	—	2	12	no	—
680	C₂×C₄×C₁₃	—	2	6	no	—
681	C₂×C₄×C₁₃	—	4	3	no	—
682	C₂×C₄×C₁₃	C₂²×D₄	1	12	yes	complemented
683	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
684	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
685	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
686	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
687	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
688	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
689	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
690	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
691	C₂²⋊D₁₃	—	2	24	no	—
692	C₂²⋊D₁₃	—	2	12	no	—
693	C₂²⋊D₁₃	—	2	24	no	—
694	C₂²⋊D₁₃	—	2	12	no	—
695	C₂²⋊D₁₃	—	2	24	no	—
696	C₂²⋊D₁₃	—	2	12	no	—
697	C₂²⋊D₁₃	—	4	12	no	—
698	C₂²⋊D₁₃	C₂²×D₄	1	24	yes	complemented
699	C₂²⋊D₁₃	C₂×#41	1	8	yes	complemented
700	C₂×Dic₁₃	—	2	12	no	—
701	C₂×Dic₁₃	—	2	12	no	—
702	C₂×Dic₁₃	—	2	4	no	—
703	C₂×Dic₁₃	—	2	12	no	—
704	C₂×Dic₁₃	—	2	12	no	—
705	C₂×Dic₁₃	—	2	6	no	—
706	C₂×Dic₁₃	—	4	3	no	—
707	C₂×Dic₁₃	C₂²×D₄	1	12	yes	complemented
708	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
709	C₂×Dic₁₃	C₂⁵	1	3	yes	—
710	C₂×Dic₁₃	C₂⁵	1	3	yes	—
711	C₂×Dic₁₃	C₂⁵	1	6	yes	—
712	C₂×Dic₁₃	C₂⁵	1	2	yes	—
713	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
714	C₂×Dic₁₃	C₂⁵	1	3	yes	—
715	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
716	D₅₂	—	2	24	no	—
717	D₅₂	—	2	12	no	—
718	D₅₂	—	2	12	no	—
719	D₅₂	—	2	6	no	—
720	D₅₂	—	4	6	no	—
721	D₅₂	C₂²×D₄	1	12	yes	complemented
722	D₅₂	C₂×#41	1	4	yes	complemented
723	C₄×D₁₃	—	2	4	no	—
724	C₄×D₁₃	—	2	12	no	—
725	C₄×D₁₃	—	2	12	no	—
726	C₄×D₁₃	—	2	12	no	—
727	C₄×D₁₃	—	2	6	no	—
728	C₄×D₁₃	—	2	2	no	—
729	C₄×D₁₃	—	2	6	no	—
730	C₄×D₁₃	—	2	4	no	—
731	C₄×D₁₃	—	2	12	no	—
732	C₄×D₁₃	—	2	12	no	—
733	C₄×D₁₃	—	2	12	no	—
734	C₄×D₁₃	—	2	6	no	—
735	C₄×D₁₃	—	2	4	no	—
736	C₄×D₁₃	—	2	12	no	—
737	C₄×D₁₃	—	2	12	no	—
738	C₄×D₁₃	—	2	12	no	—
739	C₄×D₁₃	—	2	6	no	—
740	C₄×D₁₃	—	4	3	no	—
741	C₄×D₁₃	—	4	3	no	—
742	C₄×D₁₃	C₂²×D₄	1	4	yes	—
743	C₄×D₁₃	C₂²×D₄	1	12	yes	—
744	C₄×D₁₃	C₂²×D₄	1	12	yes	complemented
745	C₄×D₁₃	C₂²×D₄	1	12	yes	complemented
746	C₄×D₁₃	C₂×#41	1	4	yes	complemented
747	Dic₂₆	—	2	12	no	—
748	Dic₂₆	—	2	24	no	—
749	Dic₂₆	C₂²×D₄	1	12	yes	complemented
750	C₂²×#41	—	13	1	no	—
751	C₂²×#41	—	13	2	no	—
752	C₂²×#41	—	13	6	no	—
753	C₂²×#41	—	13	6	no	—
754	C₂²×#41	—	13	2	no	—
755	C₂²×#41	—	13	2	no	—
756	C₂²×#41	—	13	6	no	—
757	C₂²×#41	—	13	6	no	—
758	C₂²×#41	—	13	2	no	—
759	C₂²×#41	—	13	6	no	—
760	C₂²×#41	—	13	6	no	—
761	C₂²×#41	—	26	32	no	—
762	C₂²×#41	C₂×D₁₃	1	2	yes	complemented
763	C₂³×Q₈	—	13	2	no	—
764	C₂³×D₄	—	13	3	no	—
765	C₂³×D₄	—	13	6	no	—
766	C₂⁴×C₄	—	13	6	no	—
767	#550	—	13	2	no	—
768	#550	—	13	3	no	—
769	#550	—	13	6	no	—
770	#550	—	13	1	no	—
771	#550	—	13	3	no	—
772	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
773	D₄×Q₈	—	13	2	no	—
774	D₄×Q₈	—	13	3	no	—
775	D₄×Q₈	—	13	6	no	—
776	D₄×Q₈	—	13	1	no	—
777	D₄×Q₈	—	13	3	no	—
778	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
779	#548	—	13	2	no	—
780	#548	—	13	2	no	—
781	#548	—	13	6	no	—
782	#548	—	13	6	no	—
783	#548	—	13	6	no	—
784	#548	—	13	2	no	—
785	#548	—	13	6	no	—
786	#548	C₂×D₁₃	1	2	yes	complemented
787	#547	—	13	6	no	—
788	#547	—	13	3	no	—
789	#547	—	13	12	no	—
790	#547	—	13	6	no	—
791	#547	—	13	6	no	—
792	#547	—	13	3	no	—
793	#547	—	13	3	no	—
794	#547	—	13	6	no	—
795	#547	C₂×D₁₃	1	3	yes	complemented
796	#546	—	13	6	no	—
797	#546	—	13	6	no	—
798	#546	—	13	6	no	—
799	#546	—	13	12	no	—
800	#546	—	13	6	no	—
801	#546	—	13	12	no	—
802	#546	—	13	6	no	—
803	#546	—	13	12	no	—
804	#546	—	13	6	no	—
805	#546	—	13	6	no	—
806	#546	—	13	12	no	—
807	#546	C₂×D₁₃	1	6	yes	complemented
808	D₄²	—	13	6	no	—
809	D₄²	—	13	6	no	—
810	D₄²	—	13	3	no	—
811	D₄²	—	13	6	no	—
812	D₄²	—	13	6	no	—
813	D₄²	—	13	12	no	—
814	D₄²	—	13	3	no	—
815	D₄²	—	13	3	no	—
816	D₄²	C₂×D₁₃	1	3	yes	complemented
817	#532	—	13	6	no	—
818	#532	—	13	3	no	—
819	#532	—	13	3	no	—
820	#532	—	13	6	no	—
821	#532	—	13	6	no	—
822	#532	—	13	6	no	—
823	#532	—	13	6	no	—
824	#532	—	13	6	no	—
825	#532	—	13	3	no	—
826	#532	C₂×D₁₃	1	3	yes	complemented
827	C₂×C₄⋊Q₈	—	13	3	no	—
828	C₂×#127	—	13	3	no	—
829	C₂×#124	—	13	6	no	—
830	#525	—	13	6	no	—
831	#525	—	13	6	no	—
832	#525	—	13	12	no	—
833	#525	—	13	6	no	—
834	#525	—	13	6	no	—
835	#525	—	13	6	no	—
836	#525	—	13	6	no	—
837	#525	—	13	12	no	—
838	#525	—	13	12	no	—
839	#525	—	13	12	no	—
840	#525	—	13	6	no	—
841	#525	C₂×D₁₃	1	6	yes	complemented
842	C₂×#123	—	13	12	no	—
843	C₂×C₂²⋊Q₈	—	13	6	no	—
844	C₂×C₂²⋊Q₈	—	13	6	no	—
845	C₂×#121	—	13	6	no	—
846	C₂×#121	—	13	6	no	—
847	C₂×#121	—	13	6	no	—
848	C₂×#121	—	13	6	no	—
849	C₂×#120	—	13	12	no	—
850	C₄×#41	—	13	1	no	—
851	C₄×#41	—	13	1	no	—
852	C₄×#41	—	13	1	no	—
853	C₄×#41	—	13	3	no	—
854	C₄×#41	—	13	3	no	—
855	C₄×#41	—	13	3	no	—
856	C₄×#41	—	13	3	no	—
857	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
858	C₂×C₄×Q₈	—	13	1	no	—
859	C₂×C₄×Q₈	—	13	1	no	—
860	C₂×C₄×D₄	—	13	3	no	—
861	C₂×C₄×D₄	—	13	6	no	—
862	C₂×C₄×D₄	—	13	1	no	—
863	C₂×C₄×D₄	—	13	3	no	—
864	C₂×C₄×D₄	—	13	3	no	—
865	C₂×C₄×D₄	—	13	3	no	—
866	C₂×C₄×D₄	—	13	6	no	—
867	C₂×C₄×D₄	—	13	3	no	—
868	C₂×C₄×D₄	—	13	6	no	—
869	C₂×C₄×D₄	—	13	3	no	—
870	C₂×C₄×D₄	—	13	6	no	—
871	C₂×C₄×D₄	—	13	3	no	—
872	C₂×C₄×D₄	—	13	6	no	—
873	C₂×C₄×D₄	—	13	3	no	—
874	C₂×C₄×D₄	—	13	3	no	—
875	C₂×C₄×D₄	—	13	3	no	—
876	C₂×C₄×D₄	—	13	6	no	—
877	C₂×C₄×D₄	—	13	3	no	—
878	C₂×C₄×D₄	—	13	6	no	—
879	C₂×C₄×D₄	—	13	3	no	—
880	C₂×C₄×D₄	C₂×D₁₃	1	3	yes	complemented
881	C₂×#117	—	13	3	no	—
882	C₂²×C₄⋊C₄	—	13	3	no	—
883	C₂²×C₂²⋊C₄	—	13	6	no	—
884	C₂²×C₄²	—	13	3	no	—
885	C₂²×C₁₃	—	2	2	no	—
886	C₂²×C₁₃	—	2	3	no	—
887	C₂²×C₁₃	—	2	3	no	—
888	C₂²×C₁₃	—	2	2	no	—
889	C₂²×C₁₃	—	2	6	no	—
890	C₂²×C₁₃	—	2	6	no	—
891	C₂²×C₁₃	—	2	6	no	—
892	C₂²×C₁₃	—	4	24	no	—
893	C₂²×C₁₃	C₂³×D₄	1	6	yes	—
894	C₂²×C₁₃	C₂²×#41	1	4	yes	complemented
895	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
896	C₂×D₁₃	—	2	2	no	—
897	C₂×D₁₃	—	2	3	no	—
898	C₂×D₁₃	—	2	3	no	—
899	C₂×D₁₃	—	2	2	no	—
900	C₂×D₁₃	—	2	16	no	—
901	C₂×D₁₃	—	2	24	no	—
902	C₂×D₁₃	—	2	6	no	—
903	C₂×D₁₃	—	2	6	no	—
904	C₂×D₁₃	—	2	6	no	—
905	C₂×D₁₃	—	4	24	no	—
906	C₂×D₁₃	—	4	24	no	—
907	C₂×D₁₃	—	4	24	no	—
908	C₂×D₁₃	—	4	24	no	—
909	C₂×D₁₃	C₂³×D₄	1	6	yes	—
910	C₂×D₁₃	C₂³×D₄	1	2	yes	—
911	C₂×D₁₃	C₂²×#41	1	2	yes	—
912	C₂×D₁₃	C₂²×#41	1	4	yes	complemented
913	C₂×D₁₃	#585	1	2	yes	—
914	C₄×C₁₃	—	2	6	no	—
915	C₄×C₁₃	—	2	2	no	—
916	C₄×C₁₃	—	2	3	no	—
917	C₄×C₁₃	—	2	1	no	—
918	C₄×C₁₃	—	2	3	no	—
919	C₄×C₁₃	C₂³×D₄	1	6	yes	—
920	C₄×C₁₃	C₂³×D₄	1	2	yes	—
921	C₄×C₁₃	C₂²×#41	1	2	yes	complemented
922	Dic₁₃	—	2	6	no	—
923	Dic₁₃	—	2	2	no	—
924	Dic₁₃	—	2	3	no	—
925	Dic₁₃	—	2	1	no	—
926	Dic₁₃	—	2	3	no	—
927	Dic₁₃	C₂³×D₄	1	6	yes	—
928	Dic₁₃	C₂³×D₄	1	2	yes	—
929	Dic₁₃	C₂²×#41	1	2	yes	complemented
930	C₂⁵	—	13	6	no	—
931	C₂×#41	—	2	16	no	—
932	C₂×#41	—	13	16	no	—
933	C₂×#41	—	13	1	no	—
934	C₂×#41	—	13	6	no	—
935	C₂×#41	—	13	6	no	—
936	C₂×#41	—	13	2	no	—
937	C₂×#41	—	13	3	no	—
938	C₂×#41	—	13	12	no	—
939	C₂×#41	—	13	6	no	—
940	C₂×#41	—	13	6	no	—
941	C₂×#41	—	13	12	no	—
942	C₂×#41	—	13	6	no	—
943	C₂×#41	—	13	3	no	—
944	C₂×#41	—	13	12	no	—
945	C₂×#41	—	13	6	no	—
946	C₂×#41	—	13	6	no	—
947	C₂×#41	—	13	12	no	—
948	C₂×#41	—	13	6	no	—
949	C₂×#41	—	26	48	no	—
950	C₂×#41	—	26	48	no	—
951	C₂×#41	—	26	48	no	—
952	C₂×#41	—	26	48	no	—
953	C₂×#41	—	26	16	no	—
954	C₂×#41	—	26	16	no	—
955	C₂×#41	—	26	16	no	—
956	C₂×#41	—	26	48	no	—
957	C₂×#41	—	26	48	no	—
958	C₂×#41	—	26	16	no	—
959	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×#41	C₂²×D₁₃	1	6	yes	complemented
961	C₂×#41	C₂²×D₁₃	1	6	yes	complemented
962	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
963	C₂²×Q₈	—	13	1	no	—
964	C₂²×Q₈	—	13	6	no	—
965	C₂²×Q₈	—	13	6	no	—
966	C₂²×Q₈	—	13	2	no	—
967	C₂²×Q₈	—	13	6	no	—
968	C₂²×Q₈	—	26	16	no	—
969	C₂²×Q₈	C₂²×D₁₃	1	2	yes	complemented
970	C₂²×D₄	—	13	1	no	—
971	C₂²×D₄	—	13	3	no	—
972	C₂²×D₄	—	13	6	no	—
973	C₂²×D₄	—	13	12	no	—
974	C₂²×D₄	—	13	6	no	—
975	C₂²×D₄	—	13	3	no	—
976	C₂²×D₄	—	13	6	no	—
977	C₂²×D₄	—	13	3	no	—
978	C₂²×D₄	—	13	3	no	—
979	C₂²×D₄	—	13	12	no	—
980	C₂²×D₄	—	13	6	no	—
981	C₂²×D₄	—	13	12	no	—
982	C₂²×D₄	—	13	6	no	—
983	C₂²×D₄	—	13	6	no	—
984	C₂²×D₄	—	13	6	no	—
985	C₂²×D₄	—	13	3	no	—
986	C₂²×D₄	—	13	6	no	—
987	C₂²×D₄	—	26	48	no	—
988	C₂²×D₄	—	26	24	no	—
989	C₂²×D₄	C₂²×D₁₃	1	3	yes	—
990	C₂²×D₄	C₂²×D₁₃	1	6	yes	complemented
991	C₂³×C₄	—	13	3	no	—
992	C₂³×C₄	—	13	6	no	—
993	C₂³×C₄	—	13	6	no	—
994	C₂³×C₄	—	13	3	no	—
995	C₂³×C₄	—	13	2	no	—
996	C₂³×C₄	—	13	6	no	—
997	C₂³×C₄	—	13	6	no	—
998	C₂³×C₄	—	13	6	no	—
999	C₂³×C₄	—	13	6	no	—
1000	C₂³×C₄	—	13	6	no	—
1001	C₂³×C₄	—	13	6	no	—
1002	C₂³×C₄	—	13	6	no	—
1003	C₂³×C₄	—	13	6	no	—
1004	C₂³×C₄	—	13	6	no	—
1005	C₂³×C₄	—	13	3	no	—
1006	C₂³×C₄	—	26	48	no	—
1007	C₂³×C₄	C₂²×D₁₃	1	6	yes	complemented
1008	C₄⋊Q₈	—	13	6	no	—
1009	C₄⋊Q₈	—	13	6	no	—
1010	C₄⋊Q₈	—	13	6	no	—
1011	C₄⋊Q₈	—	13	3	no	—
1012	C₄⋊Q₈	C₂²×D₁₃	1	3	yes	complemented
1013	#127	—	13	6	no	—
1014	#127	—	13	6	no	—
1015	#127	—	13	6	no	—
1016	#127	—	13	3	no	—
1017	#127	C₂²×D₁₃	1	3	yes	complemented
1018	#124	—	13	6	no	—
1019	#124	—	13	6	no	—
1020	#124	—	13	12	no	—
1021	#124	—	13	12	no	—
1022	#124	—	13	6	no	—
1023	#124	C₂²×D₁₃	1	6	yes	complemented
1024	#123	—	13	12	no	—
1025	#123	—	13	12	no	—
1026	#123	—	13	12	no	—
1027	#123	—	13	12	no	—
1028	#123	—	13	12	no	—
1029	#123	—	13	12	no	—
1030	#123	—	13	12	no	—
1031	#123	C₂²×D₁₃	1	12	yes	complemented
1032	C₂²⋊Q₈	—	13	6	no	—
1033	C₂²⋊Q₈	—	13	6	no	—
1034	C₂²⋊Q₈	—	13	6	no	—
1035	C₂²⋊Q₈	—	13	6	no	—
1036	C₂²⋊Q₈	—	13	12	no	—
1037	C₂²⋊Q₈	—	13	6	no	—
1038	C₂²⋊Q₈	—	13	12	no	—
1039	C₂²⋊Q₈	—	13	6	no	—
1040	C₂²⋊Q₈	—	13	12	no	—
1041	C₂²⋊Q₈	—	13	12	no	—
1042	C₂²⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
1043	C₂²⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
1044	#121	—	13	6	no	—
1045	#121	—	13	12	no	—
1046	#121	—	13	6	no	—
1047	#121	—	13	12	no	—
1048	#121	—	13	6	no	—
1049	#121	—	13	12	no	—
1050	#121	—	13	6	no	—
1051	#121	—	13	12	no	—
1052	#121	—	13	6	no	—
1053	#121	—	13	6	no	—
1054	#121	—	13	6	no	—
1055	#121	—	13	6	no	—
1056	#121	—	13	6	no	—
1057	#121	—	13	6	no	—
1058	#121	—	13	6	no	—
1059	#121	—	13	6	no	—
1060	#121	—	13	12	no	—
1061	#121	—	13	12	no	—
1062	#121	—	13	12	no	—
1063	#121	—	13	12	no	—
1064	#121	C₂²×D₁₃	1	6	yes	complemented
1065	#121	C₂²×D₁₃	1	6	yes	complemented
1066	#121	C₂²×D₁₃	1	6	yes	complemented
1067	#121	C₂²×D₁₃	1	6	yes	complemented
1068	#120	—	13	12	no	—
1069	#120	—	13	12	no	—
1070	#120	—	13	12	no	—
1071	#120	—	13	12	no	—
1072	#120	—	13	12	no	—
1073	#120	—	13	12	no	—
1074	#120	—	13	12	no	—
1075	#120	C₂²×D₁₃	1	12	yes	complemented
1076	C₄×Q₈	—	13	1	no	—
1077	C₄×Q₈	—	13	1	no	—
1078	C₄×Q₈	—	13	3	no	—
1079	C₄×Q₈	—	13	3	no	—
1080	C₄×Q₈	—	13	3	no	—
1081	C₄×Q₈	—	13	3	no	—
1082	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1083	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1084	C₄×D₄	—	13	1	no	—
1085	C₄×D₄	—	13	6	no	—
1086	C₄×D₄	—	13	3	no	—
1087	C₄×D₄	—	13	3	no	—
1088	C₄×D₄	—	13	6	no	—
1089	C₄×D₄	—	13	3	no	—
1090	C₄×D₄	—	13	3	no	—
1091	C₄×D₄	—	13	3	no	—
1092	C₄×D₄	—	13	6	no	—
1093	C₄×D₄	—	13	2	no	—
1094	C₄×D₄	—	13	6	no	—
1095	C₄×D₄	—	13	6	no	—
1096	C₄×D₄	—	13	6	no	—
1097	C₄×D₄	—	13	6	no	—
1098	C₄×D₄	—	13	6	no	—
1099	C₄×D₄	—	13	6	no	—
1100	C₄×D₄	—	13	6	no	—
1101	C₄×D₄	—	13	6	no	—
1102	C₄×D₄	—	13	6	no	—
1103	C₄×D₄	—	13	12	no	—
1104	C₄×D₄	—	13	1	no	—
1105	C₄×D₄	—	13	6	no	—
1106	C₄×D₄	—	13	3	no	—
1107	C₄×D₄	—	13	3	no	—
1108	C₄×D₄	—	13	6	no	—
1109	C₄×D₄	—	13	3	no	—
1110	C₄×D₄	—	13	3	no	—
1111	C₄×D₄	—	13	3	no	—
1112	C₄×D₄	—	13	6	no	—
1113	C₄×D₄	—	13	2	no	—
1114	C₄×D₄	—	13	6	no	—
1115	C₄×D₄	—	13	6	no	—
1116	C₄×D₄	—	13	6	no	—
1117	C₄×D₄	—	13	6	no	—
1118	C₄×D₄	—	13	6	no	—
1119	C₄×D₄	—	13	6	no	—
1120	C₄×D₄	—	13	6	no	—
1121	C₄×D₄	—	13	6	no	—
1122	C₄×D₄	—	13	6	no	—
1123	C₄×D₄	—	13	12	no	—
1124	C₄×D₄	—	13	1	no	—
1125	C₄×D₄	—	13	6	no	—
1126	C₄×D₄	—	13	3	no	—
1127	C₄×D₄	—	13	3	no	—
1128	C₄×D₄	—	13	6	no	—
1129	C₄×D₄	—	13	3	no	—
1130	C₄×D₄	—	13	3	no	—
1131	C₄×D₄	—	13	3	no	—
1132	C₄×D₄	—	13	6	no	—
1133	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1134	C₄×D₄	C₂²×D₁₃	1	3	yes	—
1135	C₄×D₄	C₂²×D₁₃	1	6	yes	complemented
1136	C₄×D₄	C₂²×D₁₃	1	3	yes	complemented
1137	C₄×D₄	C₂²×D₁₃	1	6	yes	complemented
1138	C₄×D₄	C₂²×D₁₃	1	3	yes	complemented
1139	C₄×D₄	C₂²×D₁₃	1	3	yes	complemented
1140	C₄×D₄	C₂²×D₁₃	1	3	yes	complemented
1141	C₄×D₄	C₂²×D₁₃	1	6	yes	complemented
1142	#117	—	13	3	no	—
1143	#117	—	13	3	no	—
1144	#117	—	13	3	no	—
1145	#117	—	13	6	no	—
1146	#117	—	13	6	no	—
1147	#117	C₂²×D₁₃	1	3	yes	complemented
1148	C₂×C₄⋊C₄	—	13	6	no	—
1149	C₂×C₄⋊C₄	—	13	3	no	—
1150	C₂×C₄⋊C₄	—	13	1	no	—
1151	C₂×C₄⋊C₄	—	13	3	no	—
1152	C₂×C₄⋊C₄	—	13	6	no	—
1153	C₂×C₄⋊C₄	—	13	6	no	—
1154	C₂×C₄⋊C₄	—	13	3	no	—
1155	C₂×C₄⋊C₄	—	13	3	no	—
1156	C₂×C₄⋊C₄	—	13	3	no	—
1157	C₂×C₄⋊C₄	—	13	3	no	—
1158	C₂×C₄⋊C₄	—	13	6	no	—
1159	C₂×C₄⋊C₄	C₂²×D₁₃	1	3	yes	complemented
1160	C₂×C₂²⋊C₄	—	13	6	no	—
1161	C₂×C₂²⋊C₄	—	13	6	no	—
1162	C₂×C₂²⋊C₄	—	13	6	no	—
1163	C₂×C₂²⋊C₄	—	13	2	no	—
1164	C₂×C₂²⋊C₄	—	13	6	no	—
1165	C₂×C₂²⋊C₄	—	13	6	no	—
1166	C₂×C₂²⋊C₄	—	13	6	no	—
1167	C₂×C₂²⋊C₄	—	13	6	no	—
1168	C₂×C₂²⋊C₄	—	13	6	no	—
1169	C₂×C₂²⋊C₄	—	13	6	no	—
1170	C₂×C₂²⋊C₄	—	13	6	no	—
1171	C₂×C₂²⋊C₄	—	13	6	no	—
1172	C₂×C₂²⋊C₄	—	13	12	no	—
1173	C₂×C₂²⋊C₄	C₂²×D₁₃	1	6	yes	complemented
1174	C₂×C₄²	—	13	3	no	—
1175	C₂×C₄²	—	13	3	no	—
1176	C₂×C₄²	—	13	3	no	—
1177	C₂×C₄²	—	13	3	no	—
1178	C₂×C₄²	—	13	1	no	—
1179	C₂×C₄²	—	13	3	no	—
1180	C₂×C₄²	—	13	3	no	—
1181	C₂×C₄²	—	13	3	no	—
1182	C₂×C₄²	—	13	3	no	—
1183	C₂×C₄²	—	13	3	no	—
1184	C₂×C₄²	—	13	3	no	—
1185	C₂×C₄²	C₂²×D₁₃	1	3	yes	complemented
1186	C₂×C₁₃	—	2	4	no	—
1187	C₂×C₁₃	—	2	6	no	—
1188	C₂×C₁₃	—	4	6	no	—
1189	C₂×C₁₃	C₂⁴×D₄	1	1	yes	characteristic
1190	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1191	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1192	D₁₃	—	2	4	no	—
1193	D₁₃	—	2	6	no	—
1194	D₁₃	—	4	6	no	—
1195	D₁₃	D₄×#41	1	4	yes	direct product factor
1196	C₂⁴	—	13	2	no	—
1197	C₂⁴	—	13	3	no	—
1198	C₂⁴	—	13	6	no	—
1199	C₂⁴	—	13	6	no	—
1200	C₂⁴	—	13	6	no	—
1201	C₂⁴	—	13	6	no	—
1202	C₂⁴	—	26	24	no	—
1203	C₂⁴	—	26	24	no	—
1204	C₂⁴	—	52	12	no	—
1205	C₂⁴	C₂³×D₁₃	1	6	yes	—
1206	#41	—	2	8	no	—
1207	#41	—	2	24	no	—
1208	#41	—	2	24	no	—
1209	#41	—	13	8	no	—
1210	#41	—	13	24	no	—
1211	#41	—	13	24	no	—
1212	#41	—	26	48	no	—
1213	#41	—	26	48	no	—
1214	#41	—	26	24	no	—
1215	#41	—	26	24	no	—
1216	#41	—	26	48	no	—
1217	#41	—	26	24	no	—
1218	#41	—	26	24	no	—
1219	#41	—	26	48	no	—
1220	#41	—	26	24	no	—
1221	#41	—	26	24	no	—
1222	#41	—	26	8	no	—
1223	#41	—	26	24	no	—
1224	#41	—	26	24	no	—
1225	#41	D₄×D₁₃	1	8	yes	direct product factor
1226	C₂×Q₈	—	2	8	no	—
1227	C₂×Q₈	—	13	8	no	—
1228	C₂×Q₈	—	13	3	no	—
1229	C₂×Q₈	—	13	12	no	—
1230	C₂×Q₈	—	13	6	no	—
1231	C₂×Q₈	—	26	24	no	—
1232	C₂×Q₈	—	26	24	no	—
1233	C₂×Q₈	—	26	24	no	—
1234	C₂×Q₈	—	26	8	no	—
1235	C₂×Q₈	C₂³×D₁₃	1	6	yes	—
1236	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1237	C₂×D₄	—	2	24	no	—
1238	C₂×D₄	—	2	12	no	—
1239	C₂×D₄	—	13	2	no	—
1240	C₂×D₄	—	13	6	no	—
1241	C₂×D₄	—	13	24	no	—
1242	C₂×D₄	—	13	8	no	—
1243	C₂×D₄	—	13	6	no	—
1244	C₂×D₄	—	13	6	no	—
1245	C₂×D₄	—	13	6	no	—
1246	C₂×D₄	—	13	12	no	—
1247	C₂×D₄	—	13	12	no	—
1248	C₂×D₄	—	13	12	no	—
1249	C₂×D₄	—	13	12	no	—
1250	C₂×D₄	—	13	1	no	—
1251	C₂×D₄	—	13	3	no	—
1252	C₂×D₄	—	13	6	no	—
1253	C₂×D₄	—	13	3	no	—
1254	C₂×D₄	—	13	12	no	—
1255	C₂×D₄	—	13	6	no	—
1256	C₂×D₄	—	13	6	no	—
1257	C₂×D₄	—	26	24	no	—
1258	C₂×D₄	—	26	12	no	—
1259	C₂×D₄	—	26	24	no	—
1260	C₂×D₄	—	26	12	no	—
1261	C₂×D₄	—	26	48	no	—
1262	C₂×D₄	—	26	24	no	—
1263	C₂×D₄	—	26	24	no	—
1264	C₂×D₄	—	26	12	no	—
1265	C₂×D₄	—	26	48	no	—
1266	C₂×D₄	—	26	24	no	—
1267	C₂×D₄	—	26	48	no	—
1268	C₂×D₄	—	26	24	no	—
1269	C₂×D₄	—	26	24	no	—
1270	C₂×D₄	—	26	12	no	—
1271	C₂×D₄	—	52	12	no	—
1272	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1273	C₂×D₄	C₂³×D₁₃	1	3	yes	—
1274	C₂×D₄	C₂³×D₁₃	1	12	yes	—
1275	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1276	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1277	C₂×D₄	C₂³×D₁₃	1	3	yes	—
1278	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1279	C₂²×C₄	—	2	24	no	—
1280	C₂²×C₄	—	13	3	no	—
1281	C₂²×C₄	—	13	24	no	—
1282	C₂²×C₄	—	13	1	no	—
1283	C₂²×C₄	—	13	3	no	—
1284	C₂²×C₄	—	13	3	no	—
1285	C₂²×C₄	—	13	1	no	—
1286	C₂²×C₄	—	13	3	no	—
1287	C₂²×C₄	—	13	3	no	—
1288	C₂²×C₄	—	13	6	no	—
1289	C₂²×C₄	—	13	2	no	—
1290	C₂²×C₄	—	13	6	no	—
1291	C₂²×C₄	—	13	6	no	—
1292	C₂²×C₄	—	13	6	no	—
1293	C₂²×C₄	—	13	3	no	—
1294	C₂²×C₄	—	13	1	no	—
1295	C₂²×C₄	—	13	3	no	—
1296	C₂²×C₄	—	13	3	no	—
1297	C₂²×C₄	—	13	3	no	—
1298	C₂²×C₄	—	13	3	no	—
1299	C₂²×C₄	—	13	2	no	—
1300	C₂²×C₄	—	13	6	no	—
1301	C₂²×C₄	—	13	6	no	—
1302	C₂²×C₄	—	13	6	no	—
1303	C₂²×C₄	—	13	2	no	—
1304	C₂²×C₄	—	13	6	no	—
1305	C₂²×C₄	—	13	6	no	—
1306	C₂²×C₄	—	13	6	no	—
1307	C₂²×C₄	—	13	6	no	—
1308	C₂²×C₄	—	13	6	no	—
1309	C₂²×C₄	—	13	2	no	—
1310	C₂²×C₄	—	13	6	no	—
1311	C₂²×C₄	—	13	3	no	—
1312	C₂²×C₄	—	13	3	no	—
1313	C₂²×C₄	—	26	8	no	—
1314	C₂²×C₄	—	26	24	no	—
1315	C₂²×C₄	—	26	24	no	—
1316	C₂²×C₄	—	26	24	no	—
1317	C₂²×C₄	—	26	24	no	—
1318	C₂²×C₄	—	26	24	no	—
1319	C₂²×C₄	—	26	24	no	—
1320	C₂²×C₄	—	26	24	no	—
1321	C₂²×C₄	—	26	24	no	—
1322	C₂²×C₄	—	26	12	no	—
1323	C₂²×C₄	—	26	24	no	—
1324	C₂²×C₄	—	26	24	no	—
1325	C₂²×C₄	—	26	24	no	—
1326	C₂²×C₄	—	52	6	no	—
1327	C₂²×C₄	C₂³×D₁₃	1	3	yes	—
1328	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1329	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1330	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1331	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1332	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1333	C₂²×C₄	C₂³×D₁₃	1	3	yes	—
1334	C₂²×C₄	C₂³×D₁₃	1	3	yes	—
1335	C₄⋊C₄	—	13	2	no	—
1336	C₄⋊C₄	—	13	1	no	—
1337	C₄⋊C₄	—	13	6	no	—
1338	C₄⋊C₄	—	13	3	no	—
1339	C₄⋊C₄	—	13	6	no	—
1340	C₄⋊C₄	—	13	6	no	—
1341	C₄⋊C₄	—	13	6	no	—
1342	C₄⋊C₄	—	13	6	no	—
1343	C₄⋊C₄	—	13	6	no	—
1344	C₄⋊C₄	—	13	3	no	—
1345	C₄⋊C₄	—	13	3	no	—
1346	C₄⋊C₄	—	13	12	no	—
1347	C₄⋊C₄	—	13	6	no	—
1348	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1349	C₄⋊C₄	C₂³×D₁₃	1	3	yes	—
1350	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1351	C₄⋊C₄	C₂³×D₁₃	1	3	yes	—
1352	C₄⋊C₄	C₂³×D₁₃	1	3	yes	—
1353	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1354	C₂²⋊C₄	—	13	2	no	—
1355	C₂²⋊C₄	—	13	6	no	—
1356	C₂²⋊C₄	—	13	6	no	—
1357	C₂²⋊C₄	—	13	6	no	—
1358	C₂²⋊C₄	—	13	6	no	—
1359	C₂²⋊C₄	—	13	12	no	—
1360	C₂²⋊C₄	—	13	2	no	—
1361	C₂²⋊C₄	—	13	2	no	—
1362	C₂²⋊C₄	—	13	6	no	—
1363	C₂²⋊C₄	—	13	6	no	—
1364	C₂²⋊C₄	—	13	6	no	—
1365	C₂²⋊C₄	—	13	6	no	—
1366	C₂²⋊C₄	—	13	6	no	—
1367	C₂²⋊C₄	—	13	6	no	—
1368	C₂²⋊C₄	—	13	6	no	—
1369	C₂²⋊C₄	—	13	6	no	—
1370	C₂²⋊C₄	—	13	12	no	—
1371	C₂²⋊C₄	—	13	12	no	—
1372	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1373	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1374	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1375	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1376	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1377	C₂²⋊C₄	C₂³×D₁₃	1	12	yes	—
1378	C₄²	—	13	1	no	—
1379	C₄²	—	13	1	no	—
1380	C₄²	—	13	3	no	—
1381	C₄²	—	13	3	no	—
1382	C₄²	—	13	3	no	—
1383	C₄²	—	13	3	no	—
1384	C₄²	—	13	3	no	—
1385	C₄²	—	13	3	no	—
1386	C₄²	—	13	3	no	—
1387	C₄²	—	13	3	no	—
1388	C₄²	—	13	1	no	—
1389	C₄²	—	13	3	no	—
1390	C₄²	C₂³×D₁₃	1	3	yes	—
1391	C₄²	C₂³×D₁₃	1	3	yes	—
1392	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1393	C₄²	C₂³×D₁₃	1	3	yes	—
1394	C₁₃	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
1395	C₂³	—	2	12	no	—
1396	C₂³	—	2	12	no	—
1397	C₂³	—	4	6	no	—
1398	C₂³	—	13	1	no	—
1399	C₂³	—	13	12	no	—
1400	C₂³	—	13	8	no	—
1401	C₂³	—	13	2	no	—
1402	C₂³	—	13	3	no	—
1403	C₂³	—	13	6	no	—
1404	C₂³	—	26	4	no	—
1405	C₂³	—	26	6	no	—
1406	C₂³	—	26	6	no	—
1407	C₂³	—	26	4	no	—
1408	C₂³	—	26	12	no	—
1409	C₂³	—	26	12	no	—
1410	C₂³	—	26	12	no	—
1411	C₂³	—	26	12	no	—
1412	C₂³	—	26	12	no	—
1413	C₂³	—	26	12	no	—
1414	C₂³	—	26	12	no	—
1415	C₂³	—	26	12	no	—
1416	C₂³	—	26	12	no	—
1417	C₂³	—	52	6	no	—
1418	C₂³	—	52	6	no	—
1419	C₂³	—	52	6	no	—
1420	C₂³	—	52	96	no	—
1421	C₂³	C₂⁴×D₁₃	1	6	yes	—
1422	C₂³	C₂⁴×D₁₃	1	3	yes	—
1423	C₂³	C₂⁴×D₁₃	1	2	yes	—
1424	Q₈	—	2	12	no	—
1425	Q₈	—	13	12	no	—
1426	Q₈	—	26	24	no	—
1427	Q₈	—	26	12	no	—
1428	Q₈	C₂×D₄×D₁₃	1	4	yes	complemented
1429	D₄	—	2	24	no	—
1430	D₄	—	2	12	no	—
1431	D₄	—	2	12	no	—
1432	D₄	—	2	6	no	—
1433	D₄	—	4	6	no	—
1434	D₄	—	13	24	no	—
1435	D₄	—	13	8	no	—
1436	D₄	—	13	12	no	—
1437	D₄	—	13	4	no	—
1438	D₄	—	26	12	no	—
1439	D₄	—	26	24	no	—
1440	D₄	—	26	12	no	—
1441	D₄	—	26	24	no	—
1442	D₄	—	26	12	no	—
1443	D₄	—	26	24	no	—
1444	D₄	—	26	24	no	—
1445	D₄	—	26	12	no	—
1446	D₄	—	26	12	no	—
1447	D₄	—	26	6	no	—
1448	D₄	—	52	6	no	—
1449	D₄	—	52	12	no	—
1450	D₄	C₂×D₄×D₁₃	1	12	yes	complemented
1451	D₄	#41×D₁₃	1	4	yes	direct product factor
1452	C₂×C₄	—	2	12	no	—
1453	C₂×C₄	—	2	4	no	—
1454	C₂×C₄	—	2	12	no	—
1455	C₂×C₄	—	2	12	no	—
1456	C₂×C₄	—	2	12	no	—
1457	C₂×C₄	—	2	6	no	—
1458	C₂×C₄	—	4	3	no	—
1459	C₂×C₄	—	13	12	no	—
1460	C₂×C₄	—	13	1	no	—
1461	C₂×C₄	—	13	1	no	—
1462	C₂×C₄	—	13	3	no	—
1463	C₂×C₄	—	13	4	no	—
1464	C₂×C₄	—	13	12	no	—
1465	C₂×C₄	—	13	12	no	—
1466	C₂×C₄	—	13	12	no	—
1467	C₂×C₄	—	13	4	no	—
1468	C₂×C₄	—	13	1	no	—
1469	C₂×C₄	—	13	3	no	—
1470	C₂×C₄	—	13	3	no	—
1471	C₂×C₄	—	13	2	no	—
1472	C₂×C₄	—	13	6	no	—
1473	C₂×C₄	—	26	4	no	—
1474	C₂×C₄	—	26	12	no	—
1475	C₂×C₄	—	26	12	no	—
1476	C₂×C₄	—	26	12	no	—
1477	C₂×C₄	—	26	6	no	—
1478	C₂×C₄	—	26	4	no	—
1479	C₂×C₄	—	26	12	no	—
1480	C₂×C₄	—	26	12	no	—
1481	C₂×C₄	—	26	12	no	—
1482	C₂×C₄	—	26	6	no	—
1483	C₂×C₄	—	26	2	no	—
1484	C₂×C₄	—	26	6	no	—
1485	C₂×C₄	—	26	4	no	—
1486	C₂×C₄	—	26	12	no	—
1487	C₂×C₄	—	26	12	no	—
1488	C₂×C₄	—	26	12	no	—
1489	C₂×C₄	—	26	6	no	—
1490	C₂×C₄	—	26	12	no	—
1491	C₂×C₄	—	26	4	no	—
1492	C₂×C₄	—	26	12	no	—
1493	C₂×C₄	—	26	12	no	—
1494	C₂×C₄	—	26	12	no	—
1495	C₂×C₄	—	26	6	no	—
1496	C₂×C₄	—	52	3	no	—
1497	C₂×C₄	—	52	3	no	—
1498	C₂×C₄	—	52	3	no	—
1499	C₂×C₄	C₂×D₄×D₁₃	1	12	yes	complemented
1500	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1501	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1502	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1503	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1504	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1505	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1506	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1507	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	3	no	—
1510	C₂²	—	2	3	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	6	no	—
1513	C₂²	—	2	6	no	—
1514	C₂²	—	2	6	no	—
1515	C₂²	—	4	24	no	—
1516	C₂²	—	13	2	no	—
1517	C₂²	—	13	2	no	—
1518	C₂²	—	13	2	no	—
1519	C₂²	—	13	6	no	—
1520	C₂²	—	13	4	no	—
1521	C₂²	—	26	24	no	—
1522	C₂²	—	26	16	no	—
1523	C₂²	—	26	2	no	—
1524	C₂²	—	26	3	no	—
1525	C₂²	—	26	3	no	—
1526	C₂²	—	26	2	no	—
1527	C₂²	—	26	6	no	—
1528	C₂²	—	26	6	no	—
1529	C₂²	—	26	6	no	—
1530	C₂²	—	52	24	no	—
1531	C₂²	—	52	24	no	—
1532	C₂²	—	52	24	no	—
1533	C₂²	—	52	24	no	—
1534	C₂²	C₂²×D₄×D₁₃	1	6	yes	—
1535	C₂²	C₂×#41×D₁₃	1	4	yes	complemented
1536	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1537	C₄	—	2	2	no	—
1538	C₄	—	2	6	no	—
1539	C₄	—	2	3	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	3	no	—
1542	C₄	—	13	2	no	—
1543	C₄	—	13	6	no	—
1544	C₄	—	13	2	no	—
1545	C₄	—	26	2	no	—
1546	C₄	—	26	6	no	—
1547	C₄	—	26	3	no	—
1548	C₄	—	26	1	no	—
1549	C₄	—	26	3	no	—
1550	C₄	C₂²×D₄×D₁₃	1	2	yes	—
1551	C₄	C₂²×D₄×D₁₃	1	6	yes	—
1552	C₄	C₂×#41×D₁₃	1	2	yes	complemented
1553	C₂	—	2	4	no	—
1554	C₂	—	2	6	no	—
1555	C₂	—	4	6	no	—
1556	C₂	—	13	4	no	—
1557	C₂	—	26	4	no	—
1558	C₂	—	26	6	no	—
1559	C₂	—	52	6	no	—
1560	C₂	C₂³×D₄×D₁₃	1	1	yes	characteristic
1561	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1562	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	D₄×C₁₃×#41	C₂
hypercenter	D₄×#41	D₁₃
hypocenter	C₁₃	C₂×D₄×#41
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. C₂²×#41×D₁₃	C₂	semidirect
2. D₄×#6131	C₂	semidirect
3. #41×D₅₂	C₂	semidirect
4. #13128326	C₂	semidirect
5. #13128325	C₂	semidirect
6. D₄×#6127	C₂	semidirect
7. #13128323	C₂	semidirect
8. #13128322	C₂	semidirect
9. #41×C₂²⋊D₁₃	C₂	semidirect
10. #13128320	C₂	semidirect
11. #13128319	C₂	semidirect
12. D₄×#6129	C₂	semidirect
13. D₁₃×#550	C₂	semidirect
14. D₄×Q₈×D₁₃	C₂	semidirect
15. D₁₃×#548	C₂	semidirect
16. D₁₃×#547	C₂	semidirect
17. D₁₃×#546	C₂	semidirect
18. D₄²×D₁₃	C₂	semidirect
19. D₁₃×#532	C₂	semidirect
20. D₁₃×#525	C₂	semidirect
21. C₄×#41×D₁₃	C₂	semidirect
22. C₂×C₄×D₄×D₁₃	C₂	semidirect
23. D₄×C₁₃×#41	C₂	semidirect
24. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂×#41×D₁₃	C₂²	semidirect
28. C₂×#41×D₁₃	C₂²	semidirect
29. C₂×#41×D₁₃	C₂²	semidirect
30. C₂×#41×D₁₃	C₂²	semidirect
31. C₂×#41×D₁₃	C₂²	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
34. C₂²×#6131	C₂²	semidirect
35. C₂²×Q₈×D₁₃	C₂²	semidirect
36. C₂²×#6129	C₂²	semidirect
38. C₂²×D₄×D₁₃	C₂²	semidirect
39. C₂²×#6127	C₂²	semidirect
40. C₂³×C₄×D₁₃	C₂²	semidirect
41. C₁₃×#550	C₂²	semidirect
42. D₄×Q₈×C₁₃	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
44. C₁₃×#547	C₂²	semidirect
45. C₁₃×#546	C₂²	semidirect
46. D₄²×C₁₃	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
48. C₁₃×#525	C₂²	semidirect
49. C₄×C₁₃×#41	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
51. #11719539	C₂²	semidirect
52. #11719537	C₂²	semidirect
53. #11719536	C₂²	semidirect
54. #11719534	C₂²	semidirect
55. #11719533	C₂²	semidirect
56. #41×Dic₁₃	C₂²	semidirect
57. #11719529	C₂²	semidirect
58. #11719522	C₂²	semidirect
59. Q₈×C₂²⋊D₁₃	C₂²	semidirect
60. #11719511	C₂²	semidirect
61. D₄×C₂²⋊D₁₃	C₂²	semidirect
62. D₄×C₂²⋊D₁₃	C₂²	semidirect
63. C₂×D₄×Dic₁₃	C₂²	semidirect
64. #11719496	C₂²	semidirect
65. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
66. #11719432	C₂²	semidirect
67. #11719431	C₂²	semidirect
68. #11719430	C₂²	semidirect
69. D₁₃×C₄⋊Q₈	C₂²	semidirect
70. #11719423	C₂²	semidirect
71. #11719422	C₂²	semidirect
72. #11719421	C₂²	semidirect
73. D₁₃×#127	C₂²	semidirect
74. #11719382	C₂²	semidirect
75. #11719381	C₂²	semidirect
76. D₁₃×#124	C₂²	semidirect
77. #11719373	C₂²	semidirect
78. #11719361	C₂²	semidirect
79. #11719360	C₂²	semidirect
80. #11719359	C₂²	semidirect
81. D₁₃×#123	C₂²	semidirect
82. #11719338	C₂²	semidirect
83. #11719337	C₂²	semidirect
84. #11719336	C₂²	semidirect
85. #11719335	C₂²	semidirect
86. #11719332	C₂²	semidirect
87. #11719332	C₂²	semidirect
88. D₁₃×C₂²⋊Q₈	C₂²	semidirect
89. D₁₃×C₂²⋊Q₈	C₂²	semidirect
90. #11719317	C₂²	semidirect
91. #11719316	C₂²	semidirect
92. #11719315	C₂²	semidirect
93. #11719314	C₂²	semidirect
94. #11719314	C₂²	semidirect
95. #11719311	C₂²	semidirect
96. #11719311	C₂²	semidirect
97. D₁₃×#121	C₂²	semidirect
98. D₁₃×#121	C₂²	semidirect
99. D₁₃×#121	C₂²	semidirect
100. D₁₃×#121	C₂²	semidirect
101. #11719304	C₂²	semidirect
102. #11719303	C₂²	semidirect
103. #11719301	C₂²	semidirect
104. #11719301	C₂²	semidirect
105. #11719296	C₂²	semidirect
106. #11719295	C₂²	semidirect
107. D₁₃×#120	C₂²	semidirect
108. #11719291	C₂²	semidirect
109. #11719282	C₂²	semidirect
110. #11719281	C₂²	semidirect
111. Q₈×D₅₂	C₂²	semidirect
112. C₄×#6131	C₂²	semidirect
113. C₄×#6131	C₂²	semidirect
114. C₄×Q₈×D₁₃	C₂²	semidirect
115. C₄×Q₈×D₁₃	C₂²	semidirect
116. #11719260	C₂²	semidirect
117. #11719259	C₂²	semidirect
118. #11719258	C₂²	semidirect
119. #11719257	C₂²	semidirect
120. #11719256	C₂²	semidirect
121. #11719255	C₂²	semidirect
122. D₄×D₅₂	C₂²	semidirect
123. D₄×D₅₂	C₂²	semidirect
124. #11719253	C₂²	semidirect
125. #11719253	C₂²	semidirect
126. #11719252	C₂²	semidirect
127. #11719252	C₂²	semidirect
130. C₄×D₄×D₁₃	C₂²	semidirect
131. C₄×D₄×D₁₃	C₂²	semidirect
132. C₄×D₄×D₁₃	C₂²	semidirect
133. C₄×D₄×D₁₃	C₂²	semidirect
134. C₄×D₄×D₁₃	C₂²	semidirect
135. C₄×D₄×D₁₃	C₂²	semidirect
136. C₄×D₄×D₁₃	C₂²	semidirect
137. C₄×D₄×D₁₃	C₂²	semidirect
138. C₄×D₄×D₁₃	C₂²	semidirect
139. C₄×D₄×D₁₃	C₂²	semidirect
140. C₄×D₄×D₁₃	C₂²	semidirect
141. C₄×D₄×D₁₃	C₂²	semidirect
142. C₄×D₄×D₁₃	C₂²	semidirect
143. D₄×Dic₂₆	C₂²	semidirect
144. C₄×#6129	C₂²	semidirect
145. C₄×#6129	C₂²	semidirect
146. #11719229	C₂²	semidirect
147. #11719227	C₂²	semidirect
148. D₁₃×#117	C₂²	semidirect
149. #11719212	C₂²	semidirect
150. C₂×#88147	C₂²	semidirect
151. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
152. #11719195	C₂²	semidirect
153. C₂×#88135	C₂²	semidirect
154. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
155. #11719182	C₂²	semidirect
156. C₄×#6127	C₂²	semidirect
157. C₂×C₄×D₅₂	C₂²	semidirect
158. C₂×C₄²×D₁₃	C₂²	semidirect
162. C₂×C₁₃×#41	C₂³	semidirect
163. C₂×C₁₃×#41	C₂³	semidirect
164. C₂×C₁₃×#41	C₂³	semidirect
165. C₂²×Q₈×C₁₃	C₂³	semidirect
167. C₂²×D₄×C₁₃	C₂³	semidirect
168. C₂³×C₄×C₁₃	C₂³	semidirect
170. C₂²×C₂²⋊D₁₃	C₂³	semidirect
171. C₂³×Dic₁₃	C₂³	semidirect
179. #41×D₁₃	D₄	direct (N × H)
182. C₂×#6131	C₂³	semidirect
183. C₂×#6131	C₂³	semidirect
184. C₂×#6131	C₂³	semidirect
188. C₂×Q₈×D₁₃	C₂³	semidirect
189. C₂×Q₈×D₁₃	C₂³	semidirect
192. C₂×#6129	C₂³	semidirect
193. C₂×#6129	C₂³	semidirect
194. C₂×#6129	C₂³	semidirect
195. C₂×#6129	C₂³	semidirect
196. C₂×#6129	C₂³	semidirect
209. C₂×D₄×D₁₃	C₂³	semidirect
210. C₂×D₄×D₁₃	C₂³	semidirect
211. C₂×D₄×D₁₃	C₂³	semidirect
214. C₂×#6127	C₂³	semidirect
215. C₂×#6127	C₂³	semidirect
216. C₂×#6127	C₂³	semidirect
217. C₂×#6127	C₂³	semidirect
218. C₂×#6127	C₂³	semidirect
220. C₂²×D₅₂	C₂³	semidirect
230. C₂²×C₄×D₁₃	C₂³	semidirect
231. C₂²×C₄×D₁₃	C₂³	semidirect
232. C₂²×C₄×D₁₃	C₂³	semidirect
233. C₂²×C₄×D₁₃	C₂³	semidirect
234. C₂²×C₄×D₁₃	C₂³	semidirect
235. C₂²×C₄×D₁₃	C₂³	semidirect
236. C₂²×Dic₂₆	C₂³	semidirect
237. C₁₃×C₄⋊Q₈	C₂³	semidirect
238. C₁₃×#127	C₂³	semidirect
239. C₁₃×#124	C₂³	semidirect
240. C₁₃×#123	C₂³	semidirect
241. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₁₃×C₂²⋊Q₈	C₂³	semidirect
243. C₁₃×#121	C₂³	semidirect
244. C₁₃×#121	C₂³	semidirect
245. C₁₃×#121	C₂³	semidirect
246. C₁₃×#121	C₂³	semidirect
247. C₁₃×#120	C₂³	semidirect
248. C₄×Q₈×C₁₃	C₂³	semidirect
249. C₄×Q₈×C₁₃	C₂³	semidirect
252. C₄×D₄×C₁₃	C₂³	semidirect
253. C₄×D₄×C₁₃	C₂³	semidirect
254. C₄×D₄×C₁₃	C₂³	semidirect
255. C₄×D₄×C₁₃	C₂³	semidirect
256. C₄×D₄×C₁₃	C₂³	semidirect
257. C₄×D₄×C₁₃	C₂³	semidirect
258. C₄×D₄×C₁₃	C₂³	semidirect
259. C₁₃×#117	C₂³	semidirect
260. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
261. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
262. C₂×C₄²×C₁₃	C₂³	semidirect
263. #88207	C₂³	semidirect
264. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
265. #88201	C₂³	semidirect
266. #88200	C₂³	semidirect
267. #88200	C₂³	semidirect
268. Q₈×Dic₁₃	C₂³	semidirect
269. Q₈×Dic₁₃	C₂³	semidirect
270. #88198	C₂³	semidirect
271. #88194	C₂³	semidirect
272. #88194	C₂³	semidirect
273. #88194	C₂³	semidirect
274. #88193	C₂³	semidirect
275. #88193	C₂³	semidirect
276. #88193	C₂³	semidirect
277. #88193	C₂³	semidirect
278. #88192	C₂³	semidirect
279. #88192	C₂³	semidirect
280. #88192	C₂³	semidirect
281. #88192	C₂³	semidirect
282. #88191	C₂³	semidirect
283. #88191	C₂³	semidirect
284. #88191	C₂³	semidirect
285. #88190	C₂³	semidirect
286. #88189	C₂³	semidirect
289. D₄×Dic₁₃	C₂³	semidirect
290. D₄×Dic₁₃	C₂³	semidirect
291. D₄×Dic₁₃	C₂³	semidirect
292. D₄×Dic₁₃	C₂³	semidirect
293. D₄×Dic₁₃	C₂³	semidirect
294. D₄×Dic₁₃	C₂³	semidirect
295. D₄×Dic₁₃	C₂³	semidirect
296. #88184	C₂³	semidirect
297. #88184	C₂³	semidirect
298. #88184	C₂³	semidirect
299. #88184	C₂³	semidirect
300. #88183	C₂³	semidirect
303. C₄×C₂²⋊D₁₃	C₂³	semidirect
304. C₄×C₂²⋊D₁₃	C₂³	semidirect
305. C₄×C₂²⋊D₁₃	C₂³	semidirect
306. C₄×C₂²⋊D₁₃	C₂³	semidirect
307. C₄×C₂²⋊D₁₃	C₂³	semidirect
308. C₄×C₂²⋊D₁₃	C₂³	semidirect
309. C₄×C₂²⋊D₁₃	C₂³	semidirect
310. C₄×C₂²⋊D₁₃	C₂³	semidirect
311. C₄×C₂²⋊D₁₃	C₂³	semidirect
312. C₂×#6103	C₂³	semidirect
313. C₂×#6103	C₂³	semidirect
314. #88180	C₂³	semidirect
315. C₂×C₄⋊Dic₁₃	C₂³	semidirect
316. #88178	C₂³	semidirect
317. #88178	C₂³	semidirect
318. C₂×#6101	C₂³	semidirect
319. C₂×C₄×Dic₁₃	C₂³	semidirect
320. C₂×C₄×Dic₁₃	C₂³	semidirect
321. C₂×C₄×Dic₁₃	C₂³	semidirect
322. #88151	C₂³	semidirect
323. #88151	C₂³	semidirect
324. #88150	C₂³	semidirect
325. #88150	C₂³	semidirect
326. #88149	C₂³	semidirect
327. #88149	C₂³	semidirect
328. #88149	C₂³	semidirect
329. #88149	C₂³	semidirect
330. #88148	C₂³	semidirect
331. #88148	C₂³	semidirect
334. #88147	C₂³	semidirect
335. #88147	C₂³	semidirect
336. #88147	C₂³	semidirect
337. #88147	C₂³	semidirect
338. #88147	C₂³	semidirect
339. #88147	C₂³	semidirect
340. #88147	C₂³	semidirect
341. #88146	C₂³	semidirect
342. #88146	C₂³	semidirect
349. C₄⋊C₄×D₁₃	C₂³	semidirect
350. C₄⋊C₄×D₁₃	C₂³	semidirect
351. C₄⋊C₄×D₁₃	C₂³	semidirect
352. #88142	C₂³	semidirect
353. #88142	C₂³	semidirect
354. #88141	C₂³	semidirect
355. #88141	C₂³	semidirect
356. #88140	C₂³	semidirect
357. #88139	C₂³	semidirect
358. #88139	C₂³	semidirect
359. #88138	C₂³	semidirect
360. #88138	C₂³	semidirect
361. #88138	C₂³	semidirect
362. #88138	C₂³	semidirect
363. #88137	C₂³	semidirect
364. #88137	C₂³	semidirect
365. #88136	C₂³	semidirect
366. #88136	C₂³	semidirect
367. #88136	C₂³	semidirect
370. #88135	C₂³	semidirect
371. #88135	C₂³	semidirect
372. #88135	C₂³	semidirect
373. #88135	C₂³	semidirect
374. #88135	C₂³	semidirect
375. #88135	C₂³	semidirect
376. #88135	C₂³	semidirect
377. #88135	C₂³	semidirect
378. #88135	C₂³	semidirect
385. C₂²⋊C₄×D₁₃	C₂³	semidirect
386. C₂²⋊C₄×D₁₃	C₂³	semidirect
387. C₂²⋊C₄×D₁₃	C₂³	semidirect
388. C₂²⋊C₄×D₁₃	C₂³	semidirect
389. #88132	C₂³	semidirect
390. #88132	C₂³	semidirect
391. #88131	C₂³	semidirect
392. #88129	C₂³	semidirect
393. #88128	C₂³	semidirect
396. C₄×D₅₂	C₂³	semidirect
397. C₄×D₅₂	C₂³	semidirect
398. C₄×D₅₂	C₂³	semidirect
399. C₄×D₅₂	C₂³	semidirect
400. C₄×D₅₂	C₂³	semidirect
401. C₄×D₅₂	C₂³	semidirect
402. C₄×D₅₂	C₂³	semidirect
403. #88126	C₂³	semidirect
408. C₄²×D₁₃	C₂³	semidirect
409. C₄²×D₁₃	C₂³	semidirect
410. C₄²×D₁₃	C₂³	semidirect
411. C₄²×D₁₃	C₂³	semidirect
412. #88123	C₂³	semidirect
413. C₄×Dic₂₆	C₂³	semidirect
414. C₄×Dic₂₆	C₂³	semidirect
429. C₁₃×#41	C₂×D₄	semidirect
474. #6131	C₂×D₄	semidirect
478. Q₈×D₁₃	C₂×D₄	semidirect
484. #6129	C₂×D₄	semidirect
496. D₄×D₁₃	C₂×D₄	semidirect
497. D₄×D₁₃	#41	direct (N × H)
503. #6127	C₂×D₄	semidirect
526. C₂×C₄×D₁₃	C₂×D₄	semidirect
626. D₄×#41	D₁₃	direct (N × H)
661. C₂²×D₁₃	C₂×#41	semidirect
667. Q₈×C₁₃	C₂²×D₄	semidirect
673. D₄×C₁₃	C₂²×D₄	semidirect
674. D₄×C₁₃	C₂×#41	semidirect
682. C₂×C₄×C₁₃	C₂²×D₄	semidirect
698. C₂²⋊D₁₃	C₂²×D₄	semidirect
699. C₂²⋊D₁₃	C₂×#41	semidirect
707. C₂×Dic₁₃	C₂²×D₄	semidirect
721. D₅₂	C₂²×D₄	semidirect
722. D₅₂	C₂×#41	semidirect
744. C₄×D₁₃	C₂²×D₄	semidirect
745. C₄×D₁₃	C₂²×D₄	semidirect
746. C₄×D₁₃	C₂×#41	semidirect
749. Dic₂₆	C₂²×D₄	semidirect
762. C₂²×#41	C₂×D₁₃	semidirect
772. #550	C₂×D₁₃	semidirect
778. D₄×Q₈	C₂×D₁₃	semidirect
786. #548	C₂×D₁₃	semidirect
795. #547	C₂×D₁₃	semidirect
807. #546	C₂×D₁₃	semidirect
816. D₄²	C₂×D₁₃	semidirect
826. #532	C₂×D₁₃	semidirect
841. #525	C₂×D₁₃	semidirect
857. C₄×#41	C₂×D₁₃	semidirect
880. C₂×C₄×D₄	C₂×D₁₃	semidirect
894. C₂²×C₁₃	C₂²×#41	semidirect
912. C₂×D₁₃	C₂²×#41	semidirect
921. C₄×C₁₃	C₂²×#41	semidirect
929. Dic₁₃	C₂²×#41	semidirect
960. C₂×#41	C₂²×D₁₃	semidirect
961. C₂×#41	C₂²×D₁₃	semidirect
962. C₂×#41	C₂²×D₁₃	semidirect
969. C₂²×Q₈	C₂²×D₁₃	semidirect
990. C₂²×D₄	C₂²×D₁₃	semidirect
1007. C₂³×C₄	C₂²×D₁₃	semidirect
1012. C₄⋊Q₈	C₂²×D₁₃	semidirect
1017. #127	C₂²×D₁₃	semidirect
1023. #124	C₂²×D₁₃	semidirect
1031. #123	C₂²×D₁₃	semidirect
1042. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1043. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1064. #121	C₂²×D₁₃	semidirect
1065. #121	C₂²×D₁₃	semidirect
1066. #121	C₂²×D₁₃	semidirect
1067. #121	C₂²×D₁₃	semidirect
1075. #120	C₂²×D₁₃	semidirect
1082. C₄×Q₈	C₂²×D₁₃	semidirect
1083. C₄×Q₈	C₂²×D₁₃	semidirect
1135. C₄×D₄	C₂²×D₁₃	semidirect
1136. C₄×D₄	C₂²×D₁₃	semidirect
1137. C₄×D₄	C₂²×D₁₃	semidirect
1138. C₄×D₄	C₂²×D₁₃	semidirect
1139. C₄×D₄	C₂²×D₁₃	semidirect
1140. C₄×D₄	C₂²×D₁₃	semidirect
1141. C₄×D₄	C₂²×D₁₃	semidirect
1147. #117	C₂²×D₁₃	semidirect
1159. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1173. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1185. C₂×C₄²	C₂²×D₁₃	semidirect
1195. D₁₃	D₄×#41	direct (N × H)
1225. #41	D₄×D₁₃	direct (N × H)
1394. C₁₃	C₂×D₄×#41	semidirect
1428. Q₈	C₂×D₄×D₁₃	semidirect
1450. D₄	C₂×D₄×D₁₃	semidirect
1451. D₄	#41×D₁₃	direct (N × H)
1499. C₂×C₄	C₂×D₄×D₁₃	semidirect
1535. C₂²	C₂×#41×D₁₃	semidirect
1552. C₄	C₂×#41×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#41×D₁₃	2
D₄×#6131	2
#41×D₅₂	2
#13128326	2
#13128325	2
D₄×#6127	2
#13128323	2
#13128322	2
#41×C₂²⋊D₁₃	2
#13128320	2
#13128319	2
D₄×#6129	2
D₁₃×#550	2
D₄×Q₈×D₁₃	2
D₁₃×#548	2
D₁₃×#547	2
D₁₃×#546	2
D₄²×D₁₃	2
D₁₃×#532	2
D₁₃×#525	2
C₄×#41×D₁₃	2
C₂×C₄×D₄×D₁₃	2
D₄×C₁₃×#41	2
C₂×D₄×#41	13

Subgroups — D4×#41×D13 #16769872

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×#41×D₁₃ #16769872