Subgroups — D₁₃×#3508 #16771270

Order 3328.

8622 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128713	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128712	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128711	C₂	1	2	yes	maximal, complemented
4	#13128710	C₂	1	1	yes	maximal, characteristic, complemented
5	#13128709	C₂	1	4	yes	maximal, complemented
6	#13128708	C₂	1	4	yes	maximal, complemented
7	#13128707	C₂	1	2	yes	maximal, complemented
8	#13128706	C₂	1	4	yes	maximal, complemented
9	#13128705	C₂	1	4	yes	maximal, complemented
10	#13128704	C₂	1	8	yes	maximal, complemented
11	D₁₃×#559	C₂	1	4	yes	maximal, complemented
12	D₁₃×#550	C₂	1	4	yes	maximal, complemented
13	D₁₃×#546	C₂	1	8	yes	maximal, complemented
14	D₁₃×#540	C₂	1	4	yes	maximal, complemented
15	D₁₃×#535	C₂	1	2	yes	maximal, complemented
16	D₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#532	C₂	1	4	yes	maximal, complemented
18	C₂×D₁₃×#127	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#518	C₂	1	2	yes	maximal, complemented
20	C₄×#41×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
23	C₂×#41×D₁₃	C₂²	1	8	yes	complemented
24	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
25	C₂²×D₄×D₁₃	C₂²	1	4	yes	—
26	C₁₃×#559	C₂²	1	4	yes	complemented
27	C₁₃×#550	C₂²	1	4	yes	complemented
28	C₁₃×#546	C₂²	1	8	yes	complemented
29	C₁₃×#540	C₂²	1	4	yes	complemented
30	C₁₃×#535	C₂²	1	2	yes	complemented
31	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#532	C₂²	1	4	yes	complemented
33	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#518	C₂²	1	2	yes	complemented
35	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
36	#11719539	C₂²	1	8	yes	complemented
37	#11719537	C₂²	1	8	yes	complemented
38	#11719535	C₂²	1	2	yes	complemented
39	#11719534	C₂²	1	8	yes	complemented
40	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
41	#11719511	C₂²	1	8	yes	complemented
42	#11719510	C₂²	1	2	yes	complemented
43	C₂×#88194	C₂²	1	4	yes	complemented
44	C₂×#88194	C₂²	1	2	yes	complemented
45	#11719503	C₂²	1	2	yes	complemented
46	#11719433	C₂²	1	2	yes	complemented
47	#11719430	C₂²	1	4	yes	complemented
48	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
49	#11719424	C₂²	1	4	yes	complemented
50	#11719423	C₂²	1	8	yes	complemented
51	#11719423	C₂²	1	4	yes	complemented
52	#11719421	C₂²	1	4	yes	complemented
53	#11719420	C₂²	1	4	yes	complemented
54	D₁₃×#127	C₂²	1	4	yes	—
55	D₁₃×#127	C₂²	1	2	yes	—
56	D₁₃×#127	C₂²	1	2	yes	—
57	D₁₃×#127	C₂²	1	2	yes	complemented
58	D₁₃×#127	C₂²	1	4	yes	complemented
59	D₁₃×#127	C₂²	1	2	yes	complemented
60	D₁₃×#127	C₂²	1	4	yes	complemented
61	#11719418	C₂²	1	4	yes	complemented
62	#11719403	C₂²	1	4	yes	complemented
63	#11719393	C₂²	1	2	yes	complemented
64	D₁₃×#125	C₂²	1	2	yes	complemented
65	#11719386	C₂²	1	8	yes	complemented
66	#11719386	C₂²	1	8	yes	complemented
67	#11719381	C₂²	1	8	yes	complemented
68	#11719379	C₂²	1	4	yes	complemented
69	D₁₃×#124	C₂²	1	8	yes	complemented
70	D₁₃×#124	C₂²	1	4	yes	complemented
71	#11719373	C₂²	1	8	yes	complemented
72	#11719369	C₂²	1	16	yes	complemented
73	#11719368	C₂²	1	16	yes	complemented
74	#11719359	C₂²	1	16	yes	complemented
75	D₁₃×#123	C₂²	1	16	yes	complemented
76	#11719335	C₂²	1	8	yes	complemented
77	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
78	#11719327	C₂²	1	4	yes	complemented
79	#11719324	C₂²	1	8	yes	complemented
80	#11719320	C₂²	1	16	yes	complemented
81	#11719317	C₂²	1	8	yes	complemented
82	#11719315	C₂²	1	16	yes	complemented
83	#11719312	C₂²	1	8	yes	complemented
84	D₁₃×#121	C₂²	1	8	yes	complemented
85	D₁₃×#121	C₂²	1	16	yes	complemented
86	D₁₃×#121	C₂²	1	8	yes	complemented
87	#11719304	C₂²	1	8	yes	complemented
88	#11719304	C₂²	1	16	yes	complemented
89	#11719301	C₂²	1	8	yes	complemented
90	#11719301	C₂²	1	8	yes	complemented
91	#11719297	C₂²	1	8	yes	complemented
92	#11719296	C₂²	1	16	yes	complemented
93	D₁₃×#120	C₂²	1	8	yes	—
94	#11719290	C₂²	1	4	yes	complemented
95	#11719290	C₂²	1	4	yes	complemented
96	#11719283	C₂²	1	4	yes	complemented
97	#11719282	C₂²	1	4	yes	complemented
98	C₄×#6131	C₂²	1	2	yes	complemented
99	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
100	C₄×Q₈×D₁₃	C₂²	1	4	yes	complemented
101	#11719267	C₂²	1	8	yes	complemented
102	#11719264	C₂²	1	8	yes	complemented
103	#11719264	C₂²	1	8	yes	complemented
104	#11719259	C₂²	1	8	yes	complemented
105	#11719258	C₂²	1	4	yes	complemented
106	#11719258	C₂²	1	8	yes	complemented
107	#11719255	C₂²	1	8	yes	complemented
108	#11719253	C₂²	1	8	yes	complemented
109	#11719253	C₂²	1	8	yes	complemented
110	#11719250	C₂²	1	8	yes	complemented
111	#11719250	C₂²	1	8	yes	complemented
112	C₄×D₄×D₁₃	C₂²	1	4	yes	—
113	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
114	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
115	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
116	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
117	C₄×#6129	C₂²	1	2	yes	complemented
118	C₄×#6129	C₂²	1	4	yes	complemented
119	#11719240	C₂²	1	4	yes	complemented
120	#11719230	C₂²	1	2	yes	complemented
121	#11719227	C₂²	1	2	yes	complemented
122	#11719227	C₂²	1	1	yes	characteristic, complemented
123	#11719226	C₂²	1	2	yes	complemented
124	#11719226	C₂²	1	2	yes	complemented
125	D₁₃×#117	C₂²	1	1	yes	characteristic
126	D₁₃×#117	C₂²	1	2	yes	—
127	D₁₃×#117	C₂²	1	2	yes	complemented
128	#11719222	C₂²	1	2	yes	complemented
129	#11719195	C₂²	1	16	yes	complemented
130	#11719191	C₂²	1	8	yes	complemented
131	C₂×C₂²⋊C₄×D₁₃	C₂²	1	8	yes	—
132	#11719182	C₂²	1	4	yes	complemented
133	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
134	C₄×#6127	C₂²	1	2	yes	complemented
135	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
137	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
138	#11719175	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₁₃	C₂³	1	4	yes	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
142	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
144	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
145	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	—
146	#41×D₁₃	—	2	8	no	—
147	#41×D₁₃	—	4	32	no	—
148	C₂×#6131	C₂³	1	1	yes	characteristic
149	C₂×#6131	C₂³	1	8	yes	complemented
150	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
151	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
152	C₂×#6129	C₂³	1	2	yes	—
153	C₂×#6129	C₂³	1	1	yes	characteristic
154	C₂×#6129	C₂³	1	8	yes	complemented
155	C₂×#6129	C₂³	1	16	yes	complemented
156	C₂×D₄×D₁₃	—	2	16	no	—
157	C₂×D₄×D₁₃	—	4	16	no	—
158	C₂×D₄×D₁₃	C₂³	1	2	yes	—
159	C₂×D₄×D₁₃	C₂³	1	4	yes	—
160	C₂×D₄×D₁₃	C₂³	1	4	yes	—
161	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
162	C₂×D₄×D₁₃	C₂³	1	8	yes	—
163	C₂×D₄×D₁₃	C₂³	1	4	yes	—
164	C₂×D₄×D₁₃	C₂³	1	4	yes	—
165	C₂×D₄×D₁₃	C₂³	1	8	yes	—
166	C₂×D₄×D₁₃	C₂³	1	16	yes	—
167	C₂×D₄×D₁₃	C₂³	1	8	yes	—
168	C₂×D₄×D₁₃	C₂³	1	8	yes	—
169	C₂×#6127	C₂³	1	1	yes	characteristic
170	C₂×#6127	C₂³	1	2	yes	—
171	C₂×#6127	C₂³	1	8	yes	complemented
172	C₂×#6127	C₂³	1	16	yes	complemented
173	C₂²×D₅₂	C₂³	1	2	yes	—
174	C₂²×D₅₂	C₂³	1	4	yes	—
175	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
176	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
177	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
178	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
179	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
180	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
181	C₁₃×#127	C₂³	1	2	yes	—
182	C₁₃×#127	C₂³	1	2	yes	—
183	C₁₃×#127	C₂³	1	4	yes	—
184	C₁₃×#127	C₂³	1	4	yes	complemented
185	C₁₃×#125	C₂³	1	2	yes	complemented
186	C₁₃×#124	C₂³	1	8	yes	complemented
187	C₁₃×#124	C₂³	1	4	yes	complemented
188	C₁₃×#123	C₂³	1	16	yes	complemented
189	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
190	C₁₃×#121	C₂³	1	8	yes	complemented
191	C₁₃×#121	C₂³	1	8	yes	complemented
192	C₁₃×#121	C₂³	1	16	yes	complemented
193	C₁₃×#120	C₂³	1	8	yes	—
194	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
195	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
196	C₄×D₄×C₁₃	C₂³	1	4	yes	—
197	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
198	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
199	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
200	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
201	C₁₃×#117	C₂³	1	2	yes	—
202	C₁₃×#117	C₂³	1	1	yes	characteristic
203	C₁₃×#117	C₂³	1	2	yes	complemented
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
205	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
207	#88207	C₂³	1	8	yes	—
208	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	—
209	#88201	C₂³	1	8	yes	complemented
210	#88201	C₂³	1	4	yes	complemented
211	#88200	C₂³	1	4	yes	—
212	Q₈×Dic₁₃	C₂³	1	4	yes	complemented
213	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
214	#88198	C₂³	1	4	yes	complemented
215	#88194	C₂³	1	4	yes	—
216	#88194	C₂³	1	8	yes	—
217	#88194	C₂³	1	8	yes	—
218	#88194	C₂³	1	8	yes	—
219	#88194	C₂³	1	4	yes	—
220	#88194	C₂³	1	8	yes	—
221	#88194	C₂³	1	8	yes	—
222	#88194	C₂³	1	4	yes	complemented
223	#88194	C₂³	1	4	yes	complemented
224	#88194	C₂³	1	16	yes	complemented
225	#88193	C₂³	1	16	yes	complemented
226	#88193	C₂³	1	16	yes	complemented
227	#88193	C₂³	1	16	yes	complemented
228	#88193	C₂³	1	16	yes	complemented
229	#88192	C₂³	1	8	yes	complemented
230	#88192	C₂³	1	8	yes	complemented
231	#88192	C₂³	1	16	yes	complemented
232	#88191	C₂³	1	8	yes	—
233	#88191	C₂³	1	16	yes	—
234	#88190	C₂³	1	4	yes	complemented
235	#88190	C₂³	1	8	yes	complemented
236	#88189	C₂³	1	16	yes	complemented
237	D₄×Dic₁₃	C₂³	1	4	yes	—
238	D₄×Dic₁₃	C₂³	1	8	yes	complemented
239	D₄×Dic₁₃	C₂³	1	2	yes	complemented
240	D₄×Dic₁₃	C₂³	1	8	yes	complemented
241	D₄×Dic₁₃	C₂³	1	8	yes	complemented
242	#88184	C₂³	1	8	yes	complemented
243	#88184	C₂³	1	8	yes	complemented
244	#88184	C₂³	1	16	yes	complemented
245	#88183	C₂³	1	16	yes	complemented
246	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
247	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
248	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
249	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
251	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
252	C₂×#6103	C₂³	1	16	yes	—
253	#88180	C₂³	1	2	yes	—
254	#88180	C₂³	1	1	yes	characteristic
255	#88180	C₂³	1	2	yes	complemented
256	#88178	C₂³	1	4	yes	—
257	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
259	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
260	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
261	#88151	C₂³	1	4	yes	—
262	#88150	C₂³	1	8	yes	—
263	#88149	C₂³	1	8	yes	complemented
264	#88149	C₂³	1	8	yes	complemented
265	#88149	C₂³	1	16	yes	complemented
266	#88148	C₂³	1	16	yes	complemented
267	#88148	C₂³	1	16	yes	complemented
268	#88147	C₂³	1	4	yes	—
269	#88147	C₂³	1	8	yes	complemented
270	#88147	C₂³	1	8	yes	complemented
271	#88147	C₂³	1	8	yes	complemented
272	#88147	C₂³	1	2	yes	complemented
273	#88146	C₂³	1	4	yes	—
274	#88146	C₂³	1	2	yes	—
275	#88146	C₂³	1	4	yes	complemented
276	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
277	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
278	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
279	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
280	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
281	#88144	C₂³	1	4	yes	complemented
282	#88143	C₂³	1	8	yes	complemented
283	#88142	C₂³	1	4	yes	complemented
284	#88142	C₂³	1	4	yes	complemented
285	#88141	C₂³	1	4	yes	complemented
286	#88141	C₂³	1	2	yes	complemented
287	#88141	C₂³	1	4	yes	complemented
288	#88141	C₂³	1	8	yes	complemented
289	#88140	C₂³	1	16	yes	complemented
290	#88139	C₂³	1	16	yes	complemented
291	#88139	C₂³	1	16	yes	complemented
292	#88139	C₂³	1	16	yes	complemented
293	#88138	C₂³	1	16	yes	complemented
294	#88138	C₂³	1	16	yes	complemented
295	#88138	C₂³	1	16	yes	complemented
296	#88138	C₂³	1	16	yes	complemented
297	#88137	C₂³	1	16	yes	complemented
298	#88137	C₂³	1	16	yes	complemented
299	#88136	C₂³	1	8	yes	—
300	#88136	C₂³	1	16	yes	—
301	#88135	C₂³	1	4	yes	—
302	#88135	C₂³	1	4	yes	—
303	#88135	C₂³	1	16	yes	complemented
304	#88135	C₂³	1	16	yes	complemented
305	#88135	C₂³	1	4	yes	complemented
306	#88135	C₂³	1	16	yes	complemented
307	C₂²⋊C₄×D₁₃	C₂³	1	2	yes	—
308	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
309	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
310	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
311	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
312	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
313	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
314	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
315	#88132	C₂³	1	8	yes	—
316	#88131	C₂³	1	2	yes	—
317	#88131	C₂³	1	4	yes	—
318	#88131	C₂³	1	4	yes	complemented
319	#88129	C₂³	1	8	yes	complemented
320	#88129	C₂³	1	4	yes	complemented
321	#88128	C₂³	1	2	yes	—
322	#88128	C₂³	1	2	yes	—
323	#88128	C₂³	1	4	yes	—
324	#88128	C₂³	1	4	yes	complemented
325	C₄×D₅₂	C₂³	1	4	yes	—
326	C₄×D₅₂	C₂³	1	2	yes	complemented
327	C₄×D₅₂	C₂³	1	8	yes	complemented
328	C₄×D₅₂	C₂³	1	8	yes	complemented
329	C₄×D₅₂	C₂³	1	8	yes	complemented
330	#88126	C₂³	1	2	yes	—
331	#88126	C₂³	1	4	yes	—
332	#88126	C₂³	1	2	yes	complemented
333	#88126	C₂³	1	2	yes	complemented
334	C₄²×D₁₃	C₂³	1	1	yes	characteristic
335	C₄²×D₁₃	C₂³	1	1	yes	characteristic
336	C₄²×D₁₃	C₂³	1	1	yes	characteristic
337	C₄²×D₁₃	C₂³	1	1	yes	characteristic
338	C₄²×D₁₃	C₂³	1	2	yes	—
339	C₄²×D₁₃	C₂³	1	2	yes	—
340	C₄²×D₁₃	C₂³	1	2	yes	—
341	C₄²×D₁₃	C₂³	1	4	yes	—
342	C₄²×D₁₃	C₂³	1	4	yes	—
343	C₄²×D₁₃	C₂³	1	2	yes	complemented
344	C₄²×D₁₃	C₂³	1	2	yes	complemented
345	C₄²×D₁₃	C₂³	1	4	yes	complemented
346	#88124	C₂³	1	2	yes	complemented
347	#88123	C₂³	1	2	yes	complemented
348	C₄×Dic₂₆	C₂³	1	4	yes	complemented
349	C₄×Dic₂₆	C₂³	1	4	yes	complemented
350	C₄×Dic₂₆	C₂³	1	2	yes	complemented
351	C₄×Dic₂₆	C₂³	1	8	yes	complemented
352	C₂×#3508	—	13	1	no	maximal, Sylow
353	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
354	C₂³×D₁₃	—	2	16	no	—
355	C₂³×D₁₃	—	4	16	no	—
356	C₂³×D₁₃	C₂⁴	1	8	yes	—
357	C₂³×D₁₃	C₂⁴	1	2	yes	—
358	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₃	C₂⁴	1	4	yes	—
360	C₂³×D₁₃	C₂⁴	1	8	yes	—
361	C₁₃×#41	—	2	4	no	—
362	C₁₃×#41	—	4	16	no	—
363	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
364	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₃	—	2	8	no	—
366	C₂×D₄×C₁₃	—	4	8	no	—
367	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
368	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
369	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
370	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
373	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₃	—	2	16	no	—
380	C₂×C₂²⋊D₁₃	—	4	16	no	—
381	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
382	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
383	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
386	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
387	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
388	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	16	yes	—
390	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
391	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
392	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
393	C₂²×Dic₁₃	C₂⁴	1	16	yes	—
394	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	#6131	—	2	4	no	—
396	#6131	—	4	16	no	—
397	Q₈×D₁₃	—	2	4	no	—
398	Q₈×D₁₃	—	2	16	no	—
399	#6129	—	2	8	no	—
400	#6129	—	2	4	no	—
401	#6129	—	4	16	no	—
402	#6129	—	4	32	no	—
403	D₄×D₁₃	—	2	8	no	—
404	D₄×D₁₃	—	2	16	no	—
405	D₄×D₁₃	—	2	16	no	—
406	D₄×D₁₃	—	2	4	no	—
407	D₄×D₁₃	—	2	16	no	—
408	D₄×D₁₃	—	2	16	no	—
409	D₄×D₁₃	—	2	32	no	—
410	D₄×D₁₃	—	4	16	no	—
411	D₄×D₁₃	—	4	16	no	—
412	D₄×D₁₃	—	4	16	no	—
413	D₄×D₁₃	—	4	32	no	—
414	#6127	—	2	4	no	—
415	#6127	—	2	8	no	—
416	#6127	—	4	32	no	—
417	#6127	—	4	16	no	—
418	C₂×D₅₂	—	2	8	no	—
419	C₂×D₅₂	—	4	8	no	—
420	C₂×D₅₂	C₂⁴	1	2	yes	—
421	C₂×D₅₂	C₂⁴	1	4	yes	—
422	C₂×D₅₂	C₂⁴	1	4	yes	—
423	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
424	C₂×D₅₂	C₂⁴	1	8	yes	—
425	C₂×D₅₂	C₂⁴	1	8	yes	—
426	C₂×D₅₂	C₂⁴	1	16	yes	—
427	C₂×C₄×D₁₃	—	2	8	no	—
428	C₂×C₄×D₁₃	—	2	8	no	—
429	C₂×C₄×D₁₃	—	2	16	no	—
430	C₂×C₄×D₁₃	—	4	32	no	—
431	C₂×C₄×D₁₃	#41	1	8	yes	complemented
432	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
433	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
434	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
435	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
436	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
437	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
438	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
439	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
440	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
441	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
442	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
443	C₂×C₄×D₁₃	C₂⁴	1	16	yes	—
444	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
448	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
449	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
450	C₂×Dic₂₆	C₂⁴	1	2	yes	—
451	C₂×Dic₂₆	C₂⁴	1	4	yes	—
452	C₂×Dic₂₆	C₂⁴	1	8	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
455	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
460	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
462	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
463	C₄²×C₁₃	C₂⁴	1	2	yes	—
464	C₄²×C₁₃	C₂⁴	1	4	yes	—
465	C₄²×C₁₃	C₂⁴	1	4	yes	—
466	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₄²×C₁₃	C₂⁴	1	2	yes	—
469	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
473	C₂²⋊Dic₁₃	C₂⁴	1	16	yes	—
474	#6103	C₂⁴	1	4	yes	—
475	#6103	C₂⁴	1	8	yes	—
476	#6103	C₂⁴	1	4	yes	—
477	#6103	C₂⁴	1	4	yes	—
478	#6103	C₂⁴	1	16	yes	—
479	#6103	C₂⁴	1	16	yes	—
480	#6103	C₂⁴	1	16	yes	—
481	#6103	C₂⁴	1	16	yes	—
482	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
483	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
484	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
485	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
486	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	4	yes	—
489	#6101	C₂⁴	1	4	yes	—
490	#6101	C₂⁴	1	4	yes	—
491	#6101	C₂⁴	1	8	yes	—
492	#6101	C₂⁴	1	8	yes	—
493	#6101	C₂⁴	1	8	yes	—
494	C₄×Dic₁₃	C₂⁴	1	2	yes	—
495	C₄×Dic₁₃	C₂⁴	1	4	yes	—
496	C₄×Dic₁₃	C₂⁴	1	2	yes	—
497	C₄×Dic₁₃	C₂⁴	1	4	yes	—
498	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
499	C₄×Dic₁₃	C₂⁴	1	2	yes	—
500	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
501	C₄×Dic₁₃	C₂⁴	1	2	yes	—
502	C₄×Dic₁₃	C₂⁴	1	2	yes	—
503	C₄×Dic₁₃	C₂⁴	1	2	yes	—
504	C₄×Dic₁₃	C₂⁴	1	4	yes	—
505	C₄×Dic₁₃	C₂⁴	1	4	yes	—
506	C₄×Dic₁₃	C₂⁴	1	4	yes	—
507	C₄×Dic₁₃	C₂⁴	1	8	yes	—
508	#3508	—	13	4	no	—
509	#3508	—	13	4	no	—
510	#3508	—	13	8	no	—
511	#3508	—	13	4	no	—
512	#3508	—	13	2	no	—
513	#3508	—	13	1	no	—
514	#3508	—	13	4	no	—
515	#3508	—	13	1	no	—
516	#3508	—	13	2	no	—
517	#3508	—	13	1	no	—
518	#3508	D₁₃	1	1	yes	characteristic, direct product factor
519	C₂×#559	—	13	4	no	—
520	C₂×#550	—	13	4	no	—
521	C₂×#546	—	13	8	no	—
522	C₂×#540	—	13	4	no	—
523	C₂×#535	—	13	2	no	—
524	C₂×#533	—	13	1	no	—
525	C₂×#532	—	13	4	no	—
526	C₂²×#127	—	13	1	no	—
527	C₂×#518	—	13	2	no	—
528	C₂×C₄×#41	—	13	1	no	—
529	C₂³×C₁₃	—	2	8	no	—
530	C₂³×C₁₃	—	4	8	no	—
531	C₂³×C₁₃	C₂⁵	1	8	yes	—
532	C₂³×C₁₃	C₂⁵	1	2	yes	—
533	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
534	C₂²×D₁₃	—	2	4	no	—
535	C₂²×D₁₃	—	2	8	no	—
536	C₂²×D₁₃	—	2	4	no	—
537	C₂²×D₁₃	—	2	16	no	—
538	C₂²×D₁₃	—	2	8	no	—
539	C₂²×D₁₃	—	2	32	no	—
540	C₂²×D₁₃	—	2	16	no	—
541	C₂²×D₁₃	—	4	8	no	—
542	C₂²×D₁₃	—	4	16	no	—
543	C₂²×D₁₃	—	8	32	no	—
544	C₂²×D₁₃	C₂×#41	1	4	yes	—
545	C₂²×D₁₃	C₂⁵	1	8	yes	—
546	C₂²×D₁₃	C₂⁵	1	2	yes	—
547	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
548	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
549	Q₈×C₁₃	—	2	2	no	—
550	Q₈×C₁₃	—	2	8	no	—
551	D₄×C₁₃	—	2	4	no	—
552	D₄×C₁₃	—	2	8	no	—
553	D₄×C₁₃	—	2	8	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	2	16	no	—
556	D₄×C₁₃	—	4	8	no	—
557	D₄×C₁₃	—	4	16	no	—
558	C₂×C₄×C₁₃	—	2	4	no	—
559	C₂×C₄×C₁₃	—	2	4	no	—
560	C₂×C₄×C₁₃	—	2	8	no	—
561	C₂×C₄×C₁₃	—	4	16	no	—
562	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
563	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
564	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
565	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
566	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
567	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
569	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
570	C₂²⋊D₁₃	—	2	4	no	—
571	C₂²⋊D₁₃	—	2	4	no	—
572	C₂²⋊D₁₃	—	2	4	no	—
573	C₂²⋊D₁₃	—	2	16	no	—
574	C₂²⋊D₁₃	—	2	16	no	—
575	C₂²⋊D₁₃	—	2	32	no	—
576	C₂²⋊D₁₃	—	4	16	no	—
577	C₂²⋊D₁₃	—	4	16	no	—
578	C₂²⋊D₁₃	—	4	16	no	—
579	C₂×Dic₁₃	—	2	4	no	—
580	C₂×Dic₁₃	—	2	8	no	—
581	C₂×Dic₁₃	—	2	4	no	—
582	C₂×Dic₁₃	—	4	16	no	—
583	C₂×Dic₁₃	C₂×#41	1	4	yes	complemented
584	C₂×Dic₁₃	C₂⁵	1	2	yes	—
585	C₂×Dic₁₃	C₂⁵	1	2	yes	—
586	C₂×Dic₁₃	C₂⁵	1	4	yes	—
587	C₂×Dic₁₃	C₂⁵	1	8	yes	—
588	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
589	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
590	C₂×Dic₁₃	C₂⁵	1	2	yes	—
591	D₅₂	—	2	4	no	—
592	D₅₂	—	2	8	no	—
593	D₅₂	—	2	8	no	—
594	D₅₂	—	2	2	no	—
595	D₅₂	—	2	16	no	—
596	D₅₂	—	4	8	no	—
597	D₅₂	—	4	16	no	—
598	C₄×D₁₃	—	2	4	no	—
599	C₄×D₁₃	—	2	8	no	—
600	C₄×D₁₃	—	2	4	no	—
601	C₄×D₁₃	—	2	16	no	—
602	C₄×D₁₃	—	2	4	no	—
603	C₄×D₁₃	—	2	4	no	—
604	C₄×D₁₃	—	2	8	no	—
605	C₄×D₁₃	—	2	4	no	—
606	C₄×D₁₃	—	2	8	no	—
607	C₄×D₁₃	—	2	4	no	—
608	C₄×D₁₃	—	4	16	no	—
609	C₄×D₁₃	—	4	16	no	—
610	C₄×D₁₃	C₂×#41	1	4	yes	—
611	C₄×D₁₃	C₂×#41	1	4	yes	—
612	C₄×D₁₃	C₂×#41	1	4	yes	complemented
613	C₄×D₁₃	C₂×#41	1	4	yes	complemented
614	C₄×D₁₃	H(5,𝔽₂)	1	8	yes	—
615	Dic₂₆	—	2	2	no	—
616	Dic₂₆	—	2	8	no	—
617	Dic₂₆	—	2	4	no	—
618	Dic₂₆	—	2	16	no	—
619	C₂²×#41	—	13	1	no	—
620	C₂²×#41	—	13	8	no	—
621	C₂³×D₄	—	13	2	no	—
622	C₂³×D₄	—	13	4	no	—
623	#559	—	13	4	no	—
624	#559	—	13	8	no	—
625	#559	—	13	8	no	—
626	#559	—	13	16	no	—
627	#559	—	13	4	no	—
628	#559	—	13	4	no	—
629	#559	—	13	8	no	—
630	#559	—	13	8	no	—
631	#559	C₂×D₁₃	1	4	yes	complemented
632	#550	—	13	8	no	—
633	#550	—	13	4	no	—
634	#550	—	13	8	no	—
635	#550	—	13	8	no	—
636	#550	—	13	16	no	—
637	#550	—	13	4	no	—
638	#550	—	13	8	no	—
639	#550	—	13	4	no	—
640	#550	C₂×D₁₃	1	4	yes	complemented
641	#546	—	13	8	no	—
642	#546	—	13	8	no	—
643	#546	—	13	8	no	—
644	#546	—	13	16	no	—
645	#546	—	13	8	no	—
646	#546	—	13	16	no	—
647	#546	—	13	8	no	—
648	#546	—	13	16	no	—
649	#546	—	13	8	no	—
650	#546	—	13	8	no	—
651	#546	—	13	16	no	—
652	#546	C₂×D₁₃	1	8	yes	complemented
653	#540	—	13	4	no	—
654	#540	—	13	4	no	—
655	#540	—	13	16	no	—
656	#540	—	13	16	no	—
657	#540	—	13	8	no	—
658	#540	—	13	8	no	—
659	#540	—	13	4	no	—
660	#540	C₂×D₁₃	1	4	yes	complemented
661	#535	—	13	2	no	—
662	#535	—	13	2	no	—
663	#535	—	13	4	no	—
664	#535	—	13	4	no	—
665	#535	—	13	8	no	—
666	#535	—	13	8	no	—
667	#535	—	13	2	no	—
668	#535	C₂×D₁₃	1	2	yes	complemented
669	#533	—	13	2	no	—
670	#533	—	13	2	no	—
671	#533	—	13	4	no	—
672	#533	—	13	4	no	—
673	#533	—	13	2	no	—
674	#533	—	13	1	no	—
675	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
676	#532	—	13	8	no	—
677	#532	—	13	4	no	—
678	#532	—	13	4	no	—
679	#532	—	13	8	no	—
680	#532	—	13	8	no	—
681	#532	—	13	8	no	—
682	#532	—	13	8	no	—
683	#532	—	13	8	no	—
684	#532	—	13	4	no	—
685	#532	C₂×D₁₃	1	4	yes	complemented
686	C₂×C₄⋊Q₈	—	13	2	no	—
687	C₂×#127	—	13	4	no	—
688	C₂×#127	—	13	2	no	—
689	C₂×#127	—	13	2	no	—
690	C₂×#127	—	13	2	no	—
691	C₂×#127	—	13	4	no	—
692	C₂×#127	—	13	4	no	—
693	C₂×#127	—	13	2	no	—
694	C₂×#127	—	13	2	no	—
695	C₂×#127	—	13	4	no	—
696	C₂×#127	—	13	1	no	—
697	C₂×#127	C₂×D₁₃	1	1	yes	characteristic, complemented
698	C₂×#125	—	13	2	no	—
699	C₂×#124	—	13	8	no	—
700	C₂×#124	—	13	4	no	—
701	C₂×#123	—	13	16	no	—
702	C₂×C₂²⋊Q₈	—	13	4	no	—
703	C₂×#121	—	13	8	no	—
704	C₂×#121	—	13	8	no	—
705	C₂×#121	—	13	16	no	—
706	C₂×#120	—	13	8	no	—
707	#518	—	13	2	no	—
708	#518	—	13	8	no	—
709	#518	—	13	8	no	—
710	#518	—	13	2	no	—
711	#518	—	13	2	no	—
712	#518	—	13	8	no	—
713	#518	C₂×D₁₃	1	2	yes	complemented
714	C₄×#41	—	13	1	no	—
715	C₄×#41	—	13	2	no	—
716	C₄×#41	—	13	4	no	—
717	C₄×#41	—	13	2	no	—
718	C₄×#41	—	13	1	no	—
719	C₄×#41	—	13	2	no	—
720	C₄×#41	—	13	1	no	—
721	C₄×#41	—	13	2	no	—
722	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
723	C₂×C₄×Q₈	—	13	2	no	—
724	C₂×C₄×Q₈	—	13	4	no	—
725	C₂×C₄×D₄	—	13	4	no	—
726	C₂×C₄×D₄	—	13	2	no	—
727	C₂×C₄×D₄	—	13	8	no	—
728	C₂×C₄×D₄	—	13	8	no	—
729	C₂×C₄×D₄	—	13	8	no	—
730	C₂×#117	—	13	1	no	—
731	C₂×#117	—	13	2	no	—
732	C₂×#117	—	13	2	no	—
733	C₂²×C₂²⋊C₄	—	13	8	no	—
734	C₂²×C₄²	—	13	1	no	—
735	C₂²×C₄²	—	13	2	no	—
736	C₂²×C₁₃	—	2	2	no	—
737	C₂²×C₁₃	—	2	2	no	—
738	C₂²×C₁₃	—	2	8	no	—
739	C₂²×C₁₃	—	2	4	no	—
740	C₂²×C₁₃	—	2	16	no	—
741	C₂²×C₁₃	—	8	8	no	—
742	C₂²×C₁₃	C₂²×#41	1	2	yes	—
743	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
744	C₂×D₁₃	—	2	2	no	—
745	C₂×D₁₃	—	2	8	no	—
746	C₂×D₁₃	—	2	2	no	—
747	C₂×D₁₃	—	2	8	no	—
748	C₂×D₁₃	—	2	4	no	—
749	C₂×D₁₃	—	2	16	no	—
750	C₂×D₁₃	—	4	8	no	—
751	C₂×D₁₃	—	4	32	no	—
752	C₂×D₁₃	—	8	16	no	—
753	C₂×D₁₃	—	8	8	no	—
754	C₂×D₁₃	C₂²×#41	1	2	yes	—
755	C₂×D₁₃	C₂²×#41	1	2	yes	—
756	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
757	C₄×C₁₃	—	2	2	no	—
758	C₄×C₁₃	—	2	8	no	—
759	C₄×C₁₃	—	2	4	no	—
760	C₄×C₁₃	—	2	2	no	—
761	C₄×C₁₃	C₂²×#41	1	2	yes	—
762	C₄×C₁₃	C₂²×#41	1	2	yes	—
763	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
764	Dic₁₃	—	2	2	no	—
765	Dic₁₃	—	2	8	no	—
766	Dic₁₃	—	2	4	no	—
767	Dic₁₃	—	2	2	no	—
768	Dic₁₃	C₂²×#41	1	2	yes	—
769	Dic₁₃	C₂²×#41	1	2	yes	—
770	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
771	C₂⁵	—	13	4	no	—
772	C₂×#41	—	13	1	no	—
773	C₂×#41	—	13	8	no	—
774	C₂×#41	—	13	2	no	—
775	C₂×#41	—	13	1	no	—
776	C₂×#41	—	13	16	no	—
777	C₂×#41	—	13	8	no	—
778	C₂×#41	—	13	2	no	—
779	C₂×#41	—	13	1	no	—
780	C₂×#41	—	13	16	no	—
781	C₂×#41	—	13	8	no	—
782	C₂×#41	—	26	8	no	—
783	C₂×#41	—	52	32	no	—
784	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
785	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
786	C₂²×Q₈	—	13	1	no	—
787	C₂²×Q₈	—	13	4	no	—
788	C₂²×D₄	—	13	4	no	—
789	C₂²×D₄	—	13	8	no	—
790	C₂²×D₄	—	13	2	no	—
791	C₂²×D₄	—	13	4	no	—
792	C₂²×D₄	—	13	4	no	—
793	C₂²×D₄	—	13	1	no	—
794	C₂²×D₄	—	13	8	no	—
795	C₂²×D₄	—	13	4	no	—
796	C₂²×D₄	—	13	4	no	—
797	C₂²×D₄	—	13	16	no	—
798	C₂²×D₄	—	13	8	no	—
799	C₂²×D₄	—	13	8	no	—
800	C₂²×D₄	—	13	8	no	—
801	C₂²×D₄	—	13	2	no	—
802	C₂²×D₄	—	13	4	no	—
803	C₂²×D₄	—	26	16	no	—
804	C₂²×D₄	—	52	16	no	—
805	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
806	C₂²×D₄	C₂²×D₁₃	1	4	yes	—
807	C₂³×C₄	—	13	1	no	—
808	C₂³×C₄	—	13	2	no	—
809	C₂³×C₄	—	13	4	no	—
810	C₂³×C₄	—	13	2	no	—
811	C₂³×C₄	—	13	16	no	—
812	C₄⋊Q₈	—	13	4	no	—
813	C₄⋊Q₈	—	13	4	no	—
814	C₄⋊Q₈	—	13	4	no	—
815	C₄⋊Q₈	—	13	2	no	—
816	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
817	#127	—	13	8	no	—
818	#127	—	13	4	no	—
819	#127	—	13	8	no	—
820	#127	—	13	4	no	—
821	#127	—	13	8	no	—
822	#127	—	13	8	no	—
823	#127	—	13	8	no	—
824	#127	—	13	16	no	—
825	#127	—	13	4	no	—
826	#127	—	13	4	no	—
827	#127	—	13	2	no	—
828	#127	—	13	2	no	—
829	#127	—	13	4	no	—
830	#127	—	13	4	no	—
831	#127	C₂²×D₁₃	1	2	yes	—
832	#127	C₂²×D₁₃	1	2	yes	—
833	#127	C₂²×D₁₃	1	4	yes	—
834	#127	C₂²×D₁₃	1	4	yes	complemented
835	#125	—	13	8	no	—
836	#125	—	13	4	no	—
837	#125	—	13	2	no	—
838	#125	C₂²×D₁₃	1	2	yes	complemented
839	#124	—	13	8	no	—
840	#124	—	13	4	no	—
841	#124	—	13	8	no	—
842	#124	—	13	4	no	—
843	#124	—	13	16	no	—
844	#124	—	13	16	no	—
845	#124	—	13	16	no	—
846	#124	—	13	8	no	—
847	#124	—	13	4	no	—
848	#124	C₂²×D₁₃	1	8	yes	complemented
849	#124	C₂²×D₁₃	1	4	yes	complemented
850	#123	—	13	16	no	—
851	#123	—	13	16	no	—
852	#123	—	13	16	no	—
853	#123	—	13	16	no	—
854	#123	—	13	16	no	—
855	#123	—	13	16	no	—
856	#123	—	13	16	no	—
857	#123	C₂²×D₁₃	1	16	yes	complemented
858	C₂²⋊Q₈	—	13	4	no	—
859	C₂²⋊Q₈	—	13	4	no	—
860	C₂²⋊Q₈	—	13	8	no	—
861	C₂²⋊Q₈	—	13	4	no	—
862	C₂²⋊Q₈	—	13	8	no	—
863	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	—
864	#121	—	13	8	no	—
865	#121	—	13	16	no	—
866	#121	—	13	8	no	—
867	#121	—	13	16	no	—
868	#121	—	13	16	no	—
869	#121	—	13	16	no	—
870	#121	—	13	16	no	—
871	#121	—	13	8	no	—
872	#121	—	13	8	no	—
873	#121	—	13	16	no	—
874	#121	—	13	8	no	—
875	#121	—	13	8	no	—
876	#121	—	13	16	no	—
877	#121	—	13	16	no	—
878	#121	—	13	16	no	—
879	#121	—	13	16	no	—
880	#121	—	13	16	no	—
881	#121	C₂²×D₁₃	1	8	yes	complemented
882	#121	C₂²×D₁₃	1	8	yes	complemented
883	#121	C₂²×D₁₃	1	16	yes	complemented
884	#120	—	13	8	no	—
885	#120	—	13	8	no	—
886	#120	—	13	16	no	—
887	#120	—	13	16	no	—
888	#120	—	13	8	no	—
889	#120	C₂²×D₁₃	1	8	yes	—
890	C₄×Q₈	—	13	2	no	—
891	C₄×Q₈	—	13	4	no	—
892	C₄×Q₈	—	13	4	no	—
893	C₄×Q₈	—	13	2	no	—
894	C₄×Q₈	—	13	8	no	—
895	C₄×Q₈	—	13	4	no	—
896	C₄×Q₈	—	13	2	no	—
897	C₄×Q₈	—	13	4	no	—
898	C₄×Q₈	—	13	8	no	—
899	C₄×Q₈	—	13	4	no	—
900	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
901	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
902	C₄×D₄	—	13	4	no	—
903	C₄×D₄	—	13	2	no	—
904	C₄×D₄	—	13	8	no	—
905	C₄×D₄	—	13	8	no	—
906	C₄×D₄	—	13	8	no	—
907	C₄×D₄	—	13	4	no	—
908	C₄×D₄	—	13	4	no	—
909	C₄×D₄	—	13	4	no	—
910	C₄×D₄	—	13	16	no	—
911	C₄×D₄	—	13	16	no	—
912	C₄×D₄	—	13	16	no	—
913	C₄×D₄	—	13	4	no	—
914	C₄×D₄	—	13	2	no	—
915	C₄×D₄	—	13	8	no	—
916	C₄×D₄	—	13	8	no	—
917	C₄×D₄	—	13	8	no	—
918	C₄×D₄	—	13	4	no	—
919	C₄×D₄	—	13	4	no	—
920	C₄×D₄	—	13	4	no	—
921	C₄×D₄	—	13	16	no	—
922	C₄×D₄	—	13	16	no	—
923	C₄×D₄	—	13	16	no	—
924	C₄×D₄	—	13	4	no	—
925	C₄×D₄	—	13	2	no	—
926	C₄×D₄	—	13	8	no	—
927	C₄×D₄	—	13	8	no	—
928	C₄×D₄	—	13	8	no	—
929	C₄×D₄	C₂²×D₁₃	1	4	yes	—
930	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
931	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
932	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
933	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
934	#117	—	13	1	no	—
935	#117	—	13	2	no	—
936	#117	—	13	2	no	—
937	#117	—	13	2	no	—
938	#117	—	13	4	no	—
939	#117	—	13	4	no	—
940	#117	—	13	2	no	—
941	#117	—	13	4	no	—
942	#117	—	13	4	no	—
943	#117	—	13	2	no	—
944	#117	—	13	2	no	—
945	#117	—	13	2	no	—
946	#117	—	13	4	no	—
947	#117	C₂²×D₁₃	1	1	yes	characteristic
948	#117	C₂²×D₁₃	1	2	yes	—
949	#117	C₂²×D₁₃	1	2	yes	complemented
950	C₂×C₄⋊C₄	—	13	2	no	—
951	C₂×C₄⋊C₄	—	13	4	no	—
952	C₂×C₄⋊C₄	—	13	4	no	—
953	C₂×C₄⋊C₄	—	13	4	no	—
954	C₂×C₄⋊C₄	—	13	8	no	—
955	C₂×C₂²⋊C₄	—	13	8	no	—
956	C₂×C₂²⋊C₄	—	13	16	no	—
957	C₂×C₂²⋊C₄	—	13	2	no	—
958	C₂×C₂²⋊C₄	—	13	4	no	—
959	C₂×C₂²⋊C₄	—	13	16	no	—
960	C₂×C₂²⋊C₄	—	13	8	no	—
961	C₂×C₂²⋊C₄	—	13	8	no	—
962	C₂×C₂²⋊C₄	—	13	16	no	—
963	C₂×C₂²⋊C₄	—	13	4	no	—
964	C₂×C₂²⋊C₄	—	13	16	no	—
965	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	—
966	C₂×C₄²	—	13	2	no	—
967	C₂×C₄²	—	13	1	no	—
968	C₂×C₄²	—	13	4	no	—
969	C₂×C₄²	—	13	2	no	—
970	C₂×C₄²	—	13	2	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	4	no	—
973	C₂×C₄²	—	13	4	no	—
974	C₂×C₄²	—	13	2	no	—
975	C₂×C₄²	—	13	2	no	—
976	C₂×C₄²	—	13	1	no	—
977	C₂×C₄²	—	13	1	no	—
978	C₂×C₄²	—	13	4	no	—
979	C₂×C₄²	—	13	2	no	—
980	C₂×C₄²	—	13	2	no	—
981	C₂×C₄²	—	13	1	no	—
982	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
984	C₂×C₁₃	—	2	2	no	—
985	C₂×C₁₃	—	4	8	no	—
986	C₂×C₁₃	—	4	2	no	—
987	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
988	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
989	D₁₃	—	2	2	no	—
990	D₁₃	—	4	2	no	—
991	D₁₃	—	4	8	no	—
992	D₁₃	#3508	1	4	yes	direct product factor
993	C₂⁴	—	13	1	no	—
994	C₂⁴	—	13	8	no	—
995	C₂⁴	—	13	2	no	—
996	C₂⁴	—	13	8	no	—
997	C₂⁴	—	13	4	no	—
998	C₂⁴	—	26	16	no	—
999	C₂⁴	—	52	16	no	—
1000	C₂⁴	C₂³×D₁₃	1	4	yes	—
1001	#41	—	2	4	no	—
1002	#41	—	4	16	no	—
1003	#41	—	26	8	no	—
1004	#41	—	26	8	no	—
1005	#41	—	26	4	no	—
1006	#41	—	26	4	no	—
1007	#41	—	26	4	no	—
1008	#41	—	52	16	no	—
1009	#41	—	52	32	no	—
1010	#41	—	52	16	no	—
1011	#41	—	52	32	no	—
1012	#41	—	52	16	no	—
1013	C₂×Q₈	—	13	2	no	—
1014	C₂×Q₈	—	13	1	no	—
1015	C₂×Q₈	—	13	8	no	—
1016	C₂×Q₈	—	13	4	no	—
1017	C₂×Q₈	—	26	4	no	—
1018	C₂×Q₈	—	26	16	no	—
1019	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1020	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1021	C₂×D₄	—	2	8	no	—
1022	C₂×D₄	—	4	8	no	—
1023	C₂×D₄	—	13	2	no	—
1024	C₂×D₄	—	13	2	no	—
1025	C₂×D₄	—	13	8	no	—
1026	C₂×D₄	—	13	8	no	—
1027	C₂×D₄	—	13	2	no	—
1028	C₂×D₄	—	13	16	no	—
1029	C₂×D₄	—	13	16	no	—
1030	C₂×D₄	—	13	16	no	—
1031	C₂×D₄	—	13	16	no	—
1032	C₂×D₄	—	13	2	no	—
1033	C₂×D₄	—	13	4	no	—
1034	C₂×D₄	—	13	4	no	—
1035	C₂×D₄	—	13	1	no	—
1036	C₂×D₄	—	13	8	no	—
1037	C₂×D₄	—	13	16	no	—
1038	C₂×D₄	—	13	8	no	—
1039	C₂×D₄	—	26	16	no	—
1040	C₂×D₄	—	26	16	no	—
1041	C₂×D₄	—	26	16	no	—
1042	C₂×D₄	—	26	16	no	—
1043	C₂×D₄	—	26	32	no	—
1044	C₂×D₄	—	26	4	no	—
1045	C₂×D₄	—	26	16	no	—
1046	C₂×D₄	—	26	8	no	—
1047	C₂×D₄	—	26	8	no	—
1048	C₂×D₄	—	52	8	no	—
1049	C₂×D₄	—	52	16	no	—
1050	C₂×D₄	—	52	16	no	—
1051	C₂×D₄	—	52	16	no	—
1052	C₂×D₄	—	52	32	no	—
1053	C₂×D₄	—	52	16	no	—
1054	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1055	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1056	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1057	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1058	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1059	C₂×D₄	C₂³×D₁₃	1	16	yes	—
1060	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1061	C₂²×C₄	—	13	1	no	—
1062	C₂²×C₄	—	13	8	no	—
1063	C₂²×C₄	—	13	1	no	—
1064	C₂²×C₄	—	13	1	no	—
1065	C₂²×C₄	—	13	2	no	—
1066	C₂²×C₄	—	13	1	no	—
1067	C₂²×C₄	—	13	1	no	—
1068	C₂²×C₄	—	13	2	no	—
1069	C₂²×C₄	—	13	4	no	—
1070	C₂²×C₄	—	13	2	no	—
1071	C₂²×C₄	—	13	16	no	—
1072	C₂²×C₄	—	13	2	no	—
1073	C₂²×C₄	—	13	4	no	—
1074	C₂²×C₄	—	13	2	no	—
1075	C₂²×C₄	—	13	2	no	—
1076	C₂²×C₄	—	13	2	no	—
1077	C₂²×C₄	—	13	4	no	—
1078	C₂²×C₄	—	13	4	no	—
1079	C₂²×C₄	—	13	2	no	—
1080	C₂²×C₄	—	13	2	no	—
1081	C₂²×C₄	—	13	8	no	—
1082	C₂²×C₄	—	13	16	no	—
1083	C₂²×C₄	—	13	16	no	—
1084	C₂²×C₄	—	26	8	no	—
1085	C₂²×C₄	—	26	8	no	—
1086	C₂²×C₄	—	26	16	no	—
1087	C₂²×C₄	—	52	32	no	—
1088	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1089	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1090	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1091	C₂²×C₄	C₂³×D₁₃	1	16	yes	—
1092	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1093	C₄⋊C₄	—	13	4	no	—
1094	C₄⋊C₄	—	13	2	no	—
1095	C₄⋊C₄	—	13	8	no	—
1096	C₄⋊C₄	—	13	4	no	—
1097	C₄⋊C₄	—	13	4	no	—
1098	C₄⋊C₄	—	13	4	no	—
1099	C₄⋊C₄	—	13	4	no	—
1100	C₄⋊C₄	—	13	8	no	—
1101	C₄⋊C₄	—	13	4	no	—
1102	C₄⋊C₄	—	13	8	no	—
1103	C₄⋊C₄	—	13	8	no	—
1104	C₄⋊C₄	—	13	8	no	—
1105	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1106	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1110	C₂²⋊C₄	—	13	2	no	—
1111	C₂²⋊C₄	—	13	4	no	—
1112	C₂²⋊C₄	—	13	16	no	—
1113	C₂²⋊C₄	—	13	4	no	—
1114	C₂²⋊C₄	—	13	16	no	—
1115	C₂²⋊C₄	—	13	4	no	—
1116	C₂²⋊C₄	—	13	8	no	—
1117	C₂²⋊C₄	—	13	16	no	—
1118	C₂²⋊C₄	—	13	16	no	—
1119	C₂²⋊C₄	—	13	4	no	—
1120	C₂²⋊C₄	—	13	4	no	—
1121	C₂²⋊C₄	—	13	16	no	—
1122	C₂²⋊C₄	—	13	16	no	—
1123	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
1124	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1125	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	—
1126	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1127	C₂²⋊C₄	C₂³×D₁₃	1	16	yes	—
1128	C₄²	—	13	2	no	—
1129	C₄²	—	13	1	no	—
1130	C₄²	—	13	4	no	—
1131	C₄²	—	13	2	no	—
1132	C₄²	—	13	2	no	—
1133	C₄²	—	13	1	no	—
1134	C₄²	—	13	4	no	—
1135	C₄²	—	13	4	no	—
1136	C₄²	—	13	4	no	—
1137	C₄²	—	13	2	no	—
1138	C₄²	—	13	2	no	—
1139	C₄²	—	13	2	no	—
1140	C₄²	—	13	8	no	—
1141	C₄²	—	13	4	no	—
1142	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1143	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1144	C₄²	C₂³×D₁₃	1	2	yes	—
1145	C₄²	C₂³×D₁₃	1	2	yes	—
1146	C₄²	C₂³×D₁₃	1	4	yes	—
1147	C₄²	C₂³×D₁₃	1	4	yes	—
1148	C₁₃	C₂×#3508	1	1	yes	characteristic, complemented, Sylow
1149	C₂³	—	2	8	no	—
1150	C₂³	—	4	8	no	—
1151	C₂³	—	13	1	no	—
1152	C₂³	—	13	4	no	—
1153	C₂³	—	13	1	no	—
1154	C₂³	—	13	8	no	—
1155	C₂³	—	13	2	no	—
1156	C₂³	—	26	4	no	—
1157	C₂³	—	26	4	no	—
1158	C₂³	—	26	8	no	—
1159	C₂³	—	26	32	no	—
1160	C₂³	—	26	16	no	—
1161	C₂³	—	26	16	no	—
1162	C₂³	—	26	8	no	—
1163	C₂³	—	52	8	no	—
1164	C₂³	—	52	16	no	—
1165	C₂³	—	104	32	no	—
1166	C₂³	C₂⁴×D₁₃	1	8	yes	—
1167	C₂³	C₂⁴×D₁₃	1	2	yes	—
1168	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1169	Q₈	—	2	2	no	—
1170	Q₈	—	2	8	no	—
1171	Q₈	—	26	4	no	—
1172	Q₈	—	26	16	no	—
1173	Q₈	—	26	2	no	—
1174	Q₈	—	26	8	no	—
1175	D₄	—	2	4	no	—
1176	D₄	—	2	8	no	—
1177	D₄	—	2	8	no	—
1178	D₄	—	2	2	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	4	8	no	—
1181	D₄	—	4	16	no	—
1182	D₄	—	26	4	no	—
1183	D₄	—	26	16	no	—
1184	D₄	—	26	16	no	—
1185	D₄	—	26	32	no	—
1186	D₄	—	26	4	no	—
1187	D₄	—	26	4	no	—
1188	D₄	—	26	4	no	—
1189	D₄	—	26	8	no	—
1190	D₄	—	26	8	no	—
1191	D₄	—	26	2	no	—
1192	D₄	—	26	16	no	—
1193	D₄	—	52	8	no	—
1194	D₄	—	52	16	no	—
1195	D₄	—	52	16	no	—
1196	D₄	—	52	16	no	—
1197	D₄	—	52	16	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	8	no	—
1201	C₂×C₄	—	4	16	no	—
1202	C₂×C₄	—	13	4	no	—
1203	C₂×C₄	—	13	1	no	—
1204	C₂×C₄	—	13	1	no	—
1205	C₂×C₄	—	13	2	no	—
1206	C₂×C₄	—	13	4	no	—
1207	C₂×C₄	—	13	4	no	—
1208	C₂×C₄	—	13	4	no	—
1209	C₂×C₄	—	13	4	no	—
1210	C₂×C₄	—	13	8	no	—
1211	C₂×C₄	—	13	2	no	—
1212	C₂×C₄	—	13	4	no	—
1213	C₂×C₄	—	13	2	no	—
1214	C₂×C₄	—	13	8	no	—
1215	C₂×C₄	—	26	4	no	—
1216	C₂×C₄	—	26	4	no	—
1217	C₂×C₄	—	26	8	no	—
1218	C₂×C₄	—	26	8	no	—
1219	C₂×C₄	—	26	4	no	—
1220	C₂×C₄	—	26	4	no	—
1221	C₂×C₄	—	26	16	no	—
1222	C₂×C₄	—	26	4	no	—
1223	C₂×C₄	—	26	4	no	—
1224	C₂×C₄	—	26	8	no	—
1225	C₂×C₄	—	26	4	no	—
1226	C₂×C₄	—	26	4	no	—
1227	C₂×C₄	—	26	8	no	—
1228	C₂×C₄	—	52	16	no	—
1229	C₂×C₄	—	52	16	no	—
1230	C₂×C₄	—	52	16	no	—
1231	C₂×C₄	#41×D₁₃	1	4	yes	complemented
1232	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1234	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1235	C₂×C₄	C₂⁴×D₁₃	1	8	yes	—
1236	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1237	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1238	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	2	16	no	—
1244	C₂²	—	8	8	no	—
1245	C₂²	—	13	2	no	—
1246	C₂²	—	13	4	no	—
1247	C₂²	—	13	2	no	—
1248	C₂²	—	26	8	no	—
1249	C₂²	—	26	2	no	—
1250	C₂²	—	26	2	no	—
1251	C₂²	—	26	8	no	—
1252	C₂²	—	26	4	no	—
1253	C₂²	—	26	16	no	—
1254	C₂²	—	52	8	no	—
1255	C₂²	—	52	32	no	—
1256	C₂²	—	104	8	no	—
1257	C₂²	—	104	16	no	—
1258	C₂²	C₂×#41×D₁₃	1	2	yes	—
1259	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1260	C₄	—	2	2	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	8	no	—
1264	C₄	—	13	2	no	—
1265	C₄	—	13	2	no	—
1266	C₄	—	13	4	no	—
1267	C₄	—	26	2	no	—
1268	C₄	—	26	4	no	—
1269	C₄	—	26	2	no	—
1270	C₄	—	26	8	no	—
1271	C₄	C₂×#41×D₁₃	1	2	yes	—
1272	C₄	C₂×#41×D₁₃	1	2	yes	—
1273	C₄	D₁₃×H(5,𝔽₂)	1	4	yes	—
1274	C₂	—	2	2	no	—
1275	C₂	—	4	8	no	—
1276	C₂	—	4	2	no	—
1277	C₂	—	13	4	no	—
1278	C₂	—	26	2	no	—
1279	C₂	—	52	8	no	—
1280	C₂	—	52	2	no	—
1281	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1282	C₂	C₂×D₁₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3508	C₂
hypercenter	#3508	D₁₃
hypocenter	C₁₃	C₂×#3508
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3508

Complements

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

N	H ≅ G/N	type
1. #13128713	C₂	semidirect
2. #13128712	C₂	semidirect
3. #13128711	C₂	semidirect
4. #13128710	C₂	semidirect
5. #13128709	C₂	semidirect
6. #13128708	C₂	semidirect
7. #13128707	C₂	semidirect
8. #13128706	C₂	semidirect
9. #13128705	C₂	semidirect
10. #13128704	C₂	semidirect
11. D₁₃×#559	C₂	semidirect
12. D₁₃×#550	C₂	semidirect
13. D₁₃×#546	C₂	semidirect
14. D₁₃×#540	C₂	semidirect
15. D₁₃×#535	C₂	semidirect
16. D₁₃×#533	C₂	semidirect
17. D₁₃×#532	C₂	semidirect
18. C₂×D₁₃×#127	C₂	semidirect
19. D₁₃×#518	C₂	semidirect
20. C₄×#41×D₁₃	C₂	semidirect
21. C₁₃×#3508	C₂	semidirect
23. C₂×#41×D₁₃	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#550	C₂²	semidirect
28. C₁₃×#546	C₂²	semidirect
29. C₁₃×#540	C₂²	semidirect
30. C₁₃×#535	C₂²	semidirect
31. C₁₃×#533	C₂²	semidirect
32. C₁₃×#532	C₂²	semidirect
33. C₂×C₁₃×#127	C₂²	semidirect
34. C₁₃×#518	C₂²	semidirect
35. C₄×C₁₃×#41	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719537	C₂²	semidirect
38. #11719535	C₂²	semidirect
39. #11719534	C₂²	semidirect
40. #41×Dic₁₃	C₂²	semidirect
41. #11719511	C₂²	semidirect
42. #11719510	C₂²	semidirect
43. C₂×#88194	C₂²	semidirect
44. C₂×#88194	C₂²	semidirect
45. #11719503	C₂²	semidirect
46. #11719433	C₂²	semidirect
47. #11719430	C₂²	semidirect
48. D₁₃×C₄⋊Q₈	C₂²	semidirect
49. #11719424	C₂²	semidirect
50. #11719423	C₂²	semidirect
51. #11719423	C₂²	semidirect
52. #11719421	C₂²	semidirect
53. #11719420	C₂²	semidirect
57. D₁₃×#127	C₂²	semidirect
58. D₁₃×#127	C₂²	semidirect
59. D₁₃×#127	C₂²	semidirect
60. D₁₃×#127	C₂²	semidirect
61. #11719418	C₂²	semidirect
62. #11719403	C₂²	semidirect
63. #11719393	C₂²	semidirect
64. D₁₃×#125	C₂²	semidirect
65. #11719386	C₂²	semidirect
66. #11719386	C₂²	semidirect
67. #11719381	C₂²	semidirect
68. #11719379	C₂²	semidirect
69. D₁₃×#124	C₂²	semidirect
70. D₁₃×#124	C₂²	semidirect
71. #11719373	C₂²	semidirect
72. #11719369	C₂²	semidirect
73. #11719368	C₂²	semidirect
74. #11719359	C₂²	semidirect
75. D₁₃×#123	C₂²	semidirect
76. #11719335	C₂²	semidirect
78. #11719327	C₂²	semidirect
79. #11719324	C₂²	semidirect
80. #11719320	C₂²	semidirect
81. #11719317	C₂²	semidirect
82. #11719315	C₂²	semidirect
83. #11719312	C₂²	semidirect
84. D₁₃×#121	C₂²	semidirect
85. D₁₃×#121	C₂²	semidirect
86. D₁₃×#121	C₂²	semidirect
87. #11719304	C₂²	semidirect
88. #11719304	C₂²	semidirect
89. #11719301	C₂²	semidirect
90. #11719301	C₂²	semidirect
91. #11719297	C₂²	semidirect
92. #11719296	C₂²	semidirect
94. #11719290	C₂²	semidirect
95. #11719290	C₂²	semidirect
96. #11719283	C₂²	semidirect
97. #11719282	C₂²	semidirect
98. C₄×#6131	C₂²	semidirect
99. C₄×Q₈×D₁₃	C₂²	semidirect
100. C₄×Q₈×D₁₃	C₂²	semidirect
101. #11719267	C₂²	semidirect
102. #11719264	C₂²	semidirect
103. #11719264	C₂²	semidirect
104. #11719259	C₂²	semidirect
105. #11719258	C₂²	semidirect
106. #11719258	C₂²	semidirect
107. #11719255	C₂²	semidirect
108. #11719253	C₂²	semidirect
109. #11719253	C₂²	semidirect
110. #11719250	C₂²	semidirect
111. #11719250	C₂²	semidirect
113. C₄×D₄×D₁₃	C₂²	semidirect
114. C₄×D₄×D₁₃	C₂²	semidirect
115. C₄×D₄×D₁₃	C₂²	semidirect
116. C₄×D₄×D₁₃	C₂²	semidirect
117. C₄×#6129	C₂²	semidirect
118. C₄×#6129	C₂²	semidirect
119. #11719240	C₂²	semidirect
120. #11719230	C₂²	semidirect
121. #11719227	C₂²	semidirect
122. #11719227	C₂²	semidirect
123. #11719226	C₂²	semidirect
124. #11719226	C₂²	semidirect
127. D₁₃×#117	C₂²	semidirect
128. #11719222	C₂²	semidirect
129. #11719195	C₂²	semidirect
130. #11719191	C₂²	semidirect
132. #11719182	C₂²	semidirect
133. C₂×#88128	C₂²	semidirect
134. C₄×#6127	C₂²	semidirect
135. C₄×#6127	C₂²	semidirect
137. C₂×C₄²×D₁₃	C₂²	semidirect
138. #11719175	C₂²	semidirect
141. C₂×C₁₃×#41	C₂³	semidirect
149. C₂×#6131	C₂³	semidirect
154. C₂×#6129	C₂³	semidirect
155. C₂×#6129	C₂³	semidirect
171. C₂×#6127	C₂³	semidirect
172. C₂×#6127	C₂³	semidirect
180. C₁₃×C₄⋊Q₈	C₂³	semidirect
184. C₁₃×#127	C₂³	semidirect
185. C₁₃×#125	C₂³	semidirect
186. C₁₃×#124	C₂³	semidirect
187. C₁₃×#124	C₂³	semidirect
188. C₁₃×#123	C₂³	semidirect
190. C₁₃×#121	C₂³	semidirect
191. C₁₃×#121	C₂³	semidirect
192. C₁₃×#121	C₂³	semidirect
194. C₄×Q₈×C₁₃	C₂³	semidirect
195. C₄×Q₈×C₁₃	C₂³	semidirect
197. C₄×D₄×C₁₃	C₂³	semidirect
198. C₄×D₄×C₁₃	C₂³	semidirect
199. C₄×D₄×C₁₃	C₂³	semidirect
200. C₄×D₄×C₁₃	C₂³	semidirect
203. C₁₃×#117	C₂³	semidirect
206. C₂×C₄²×C₁₃	C₂³	semidirect
209. #88201	C₂³	semidirect
210. #88201	C₂³	semidirect
212. Q₈×Dic₁₃	C₂³	semidirect
213. Q₈×Dic₁₃	C₂³	semidirect
214. #88198	C₂³	semidirect
222. #88194	C₂³	semidirect
223. #88194	C₂³	semidirect
224. #88194	C₂³	semidirect
225. #88193	C₂³	semidirect
226. #88193	C₂³	semidirect
227. #88193	C₂³	semidirect
228. #88193	C₂³	semidirect
229. #88192	C₂³	semidirect
230. #88192	C₂³	semidirect
231. #88192	C₂³	semidirect
234. #88190	C₂³	semidirect
235. #88190	C₂³	semidirect
236. #88189	C₂³	semidirect
238. D₄×Dic₁₃	C₂³	semidirect
239. D₄×Dic₁₃	C₂³	semidirect
240. D₄×Dic₁₃	C₂³	semidirect
241. D₄×Dic₁₃	C₂³	semidirect
242. #88184	C₂³	semidirect
243. #88184	C₂³	semidirect
244. #88184	C₂³	semidirect
245. #88183	C₂³	semidirect
248. C₄×C₂²⋊D₁₃	C₂³	semidirect
249. C₄×C₂²⋊D₁₃	C₂³	semidirect
250. C₄×C₂²⋊D₁₃	C₂³	semidirect
251. C₄×C₂²⋊D₁₃	C₂³	semidirect
255. #88180	C₂³	semidirect
259. C₂×C₄×Dic₁₃	C₂³	semidirect
260. C₂×C₄×Dic₁₃	C₂³	semidirect
263. #88149	C₂³	semidirect
264. #88149	C₂³	semidirect
265. #88149	C₂³	semidirect
266. #88148	C₂³	semidirect
267. #88148	C₂³	semidirect
269. #88147	C₂³	semidirect
270. #88147	C₂³	semidirect
271. #88147	C₂³	semidirect
272. #88147	C₂³	semidirect
275. #88146	C₂³	semidirect
281. #88144	C₂³	semidirect
282. #88143	C₂³	semidirect
283. #88142	C₂³	semidirect
284. #88142	C₂³	semidirect
285. #88141	C₂³	semidirect
286. #88141	C₂³	semidirect
287. #88141	C₂³	semidirect
288. #88141	C₂³	semidirect
289. #88140	C₂³	semidirect
290. #88139	C₂³	semidirect
291. #88139	C₂³	semidirect
292. #88139	C₂³	semidirect
293. #88138	C₂³	semidirect
294. #88138	C₂³	semidirect
295. #88138	C₂³	semidirect
296. #88138	C₂³	semidirect
297. #88137	C₂³	semidirect
298. #88137	C₂³	semidirect
303. #88135	C₂³	semidirect
304. #88135	C₂³	semidirect
305. #88135	C₂³	semidirect
306. #88135	C₂³	semidirect
318. #88131	C₂³	semidirect
319. #88129	C₂³	semidirect
320. #88129	C₂³	semidirect
324. #88128	C₂³	semidirect
326. C₄×D₅₂	C₂³	semidirect
327. C₄×D₅₂	C₂³	semidirect
328. C₄×D₅₂	C₂³	semidirect
329. C₄×D₅₂	C₂³	semidirect
332. #88126	C₂³	semidirect
333. #88126	C₂³	semidirect
343. C₄²×D₁₃	C₂³	semidirect
344. C₄²×D₁₃	C₂³	semidirect
345. C₄²×D₁₃	C₂³	semidirect
346. #88124	C₂³	semidirect
347. #88123	C₂³	semidirect
348. C₄×Dic₂₆	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
351. C₄×Dic₂₆	C₂³	semidirect
431. C₂×C₄×D₁₃	#41	semidirect
518. #3508	D₁₃	direct (N × H)
562. C₂×C₄×C₁₃	C₂×#41	semidirect
583. C₂×Dic₁₃	C₂×#41	semidirect
612. C₄×D₁₃	C₂×#41	semidirect
613. C₄×D₁₃	C₂×#41	semidirect
631. #559	C₂×D₁₃	semidirect
640. #550	C₂×D₁₃	semidirect
652. #546	C₂×D₁₃	semidirect
660. #540	C₂×D₁₃	semidirect
668. #535	C₂×D₁₃	semidirect
675. #533	C₂×D₁₃	semidirect
685. #532	C₂×D₁₃	semidirect
697. C₂×#127	C₂×D₁₃	semidirect
713. #518	C₂×D₁₃	semidirect
722. C₄×#41	C₂×D₁₃	semidirect
785. C₂×#41	C₂²×D₁₃	semidirect
816. C₄⋊Q₈	C₂²×D₁₃	semidirect
834. #127	C₂²×D₁₃	semidirect
838. #125	C₂²×D₁₃	semidirect
848. #124	C₂²×D₁₃	semidirect
849. #124	C₂²×D₁₃	semidirect
857. #123	C₂²×D₁₃	semidirect
881. #121	C₂²×D₁₃	semidirect
882. #121	C₂²×D₁₃	semidirect
883. #121	C₂²×D₁₃	semidirect
900. C₄×Q₈	C₂²×D₁₃	semidirect
901. C₄×Q₈	C₂²×D₁₃	semidirect
930. C₄×D₄	C₂²×D₁₃	semidirect
931. C₄×D₄	C₂²×D₁₃	semidirect
932. C₄×D₄	C₂²×D₁₃	semidirect
933. C₄×D₄	C₂²×D₁₃	semidirect
949. #117	C₂²×D₁₃	semidirect
983. C₂×C₄²	C₂²×D₁₃	semidirect
992. D₁₃	#3508	direct (N × H)
1148. C₁₃	C₂×#3508	semidirect
1231. C₂×C₄	#41×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
#13128713	2
#13128712	2
#13128711	2
#13128710	2
#13128709	2
#13128708	2
#13128707	2
#13128706	2
#13128705	2
#13128704	2
D₁₃×#559	2
D₁₃×#550	2
D₁₃×#546	2
D₁₃×#540	2
D₁₃×#535	2
D₁₃×#533	2
D₁₃×#532	2
C₂×D₁₃×#127	2
D₁₃×#518	2
C₄×#41×D₁₃	2
C₁₃×#3508	2
C₂×#3508	13

Subgroups — D13×#3508 #16771270

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3508 #16771270