Subgroups — D₁₃×#2969 #16727395

Order 3328.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#529	C₂	1	1	yes	maximal, characteristic
2	#13123843	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123842	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123841	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123840	C₂	1	1	yes	maximal, characteristic, complemented
6	#13123839	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123838	C₂	1	2	yes	maximal, complemented
8	#13123837	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123836	C₂	1	2	yes	maximal, complemented
10	#13123835	C₂	1	2	yes	maximal, complemented
11	#13123834	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123833	C₂	1	2	yes	maximal, complemented
13	D₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#436	C₂	1	2	yes	maximal, complemented
16	D₁₃×#436	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#435	C₂	1	2	yes	maximal, complemented
18	C₈×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#433	C₂	1	2	yes	maximal, complemented
20	D₁₃×#431	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#405	C₂	1	2	yes	maximal, complemented
22	C₄×M₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#529	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
27	C₂×M₁₆×D₁₃	C₂²	1	2	yes	—
28	C₂²×C₈×D₁₃	C₂²	1	2	yes	—
29	#11719411	C₄	1	2	yes	—
30	D₁₃×#126	C₄	1	2	yes	—
31	#11719396	C₄	1	1	yes	characteristic
32	D₁₃×#125	C₄	1	1	yes	characteristic
33	#11719385	C₄	1	1	yes	characteristic
34	D₁₃×#124	C₄	1	1	yes	characteristic
35	D₁₃×#123	C₄	1	2	yes	—
36	#11719354	C₄	1	2	yes	—
37	D₁₃×C₂²⋊Q₈	C₄	1	1	yes	characteristic
38	#11719329	C₄	1	1	yes	characteristic
39	D₁₃×#121	C₄	1	1	yes	characteristic
40	#11719305	C₄	1	1	yes	characteristic
41	#11719285	C₂²	1	1	yes	characteristic
42	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719262	C₂²	1	1	yes	characteristic
44	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₄×D₄×D₁₃	C₂²	1	2	yes	—
46	#11719243	C₂²	1	2	yes	—
47	#11719233	C₂²	1	2	yes	—
48	D₁₃×#117	C₂²	1	2	yes	—
49	#11719184	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
52	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#436	C₂²	1	2	yes	complemented
55	C₁₃×#435	C₂²	1	2	yes	complemented
56	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#433	C₂²	1	2	yes	complemented
58	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#405	C₂²	1	2	yes	complemented
60	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
61	#11718789	C₂²	1	2	yes	complemented
62	#11718789	C₂²	1	2	yes	complemented
63	#11718789	C₂²	1	2	yes	complemented
64	#11718788	C₂²	1	2	yes	complemented
65	#11718783	C₂²	1	2	yes	complemented
66	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
67	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
68	#11718772	C₂²	1	2	yes	complemented
69	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
70	#11718762	C₂²	1	2	yes	complemented
71	#11718685	C₂²	1	1	yes	characteristic, complemented
72	Q₈×#1055	C₂²	1	1	yes	characteristic, complemented
73	#11718673	C₂²	1	2	yes	complemented
74	#11718673	C₂²	1	1	yes	characteristic, complemented
75	#11718672	C₂²	1	2	yes	complemented
76	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
77	#11718661	C₂²	1	2	yes	complemented
78	#11718658	C₂²	1	2	yes	complemented
79	#11718586	C₂²	1	1	yes	characteristic, complemented
80	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
81	#11718501	C₂²	1	2	yes	complemented
82	#11718501	C₂²	1	2	yes	complemented
83	#11718499	C₂²	1	1	yes	characteristic, complemented
84	#11718499	C₂²	1	2	yes	complemented
85	#11718497	C₂²	1	2	yes	complemented
86	#11718495	C₂²	1	1	yes	characteristic, complemented
87	#11718494	C₂²	1	1	yes	characteristic, complemented
88	#11718494	C₂²	1	1	yes	characteristic, complemented
89	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
90	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
91	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
92	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
93	#11718492	C₂²	1	1	yes	characteristic, complemented
94	#11718491	C₂²	1	2	yes	complemented
95	#11718491	C₂²	1	1	yes	characteristic, complemented
96	#11718489	C₂²	1	2	yes	complemented
97	#11718391	C₂²	1	2	yes	complemented
98	#11718390	C₂²	1	2	yes	complemented
99	#11718390	C₂²	1	2	yes	complemented
100	#11718390	C₂²	1	2	yes	complemented
101	#11718389	C₂²	1	2	yes	complemented
102	#11718386	C₂²	1	2	yes	complemented
103	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
104	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
105	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
106	#11718381	C₂²	1	2	yes	complemented
107	#11718381	C₂²	1	2	yes	complemented
108	#11718379	C₂²	1	2	yes	complemented
109	#11718370	C₂²	1	2	yes	complemented
110	#11718369	C₂²	1	2	yes	complemented
111	#11718369	C₂²	1	2	yes	complemented
112	#11718368	C₂²	1	1	yes	characteristic, complemented
113	#11718368	C₂²	1	1	yes	characteristic, complemented
114	#11718367	C₂²	1	2	yes	complemented
115	D₁₃×#97	C₂²	1	1	yes	characteristic
116	D₁₃×#97	C₂²	1	1	yes	characteristic
117	D₁₃×#97	C₂²	1	2	yes	—
118	#11718362	C₂²	1	2	yes	complemented
119	#11718351	C₂²	1	2	yes	complemented
120	#11718350	C₂²	1	2	yes	complemented
121	#11718350	C₂²	1	2	yes	complemented
122	#11718349	C₂²	1	1	yes	characteristic, complemented
123	#11718349	C₂²	1	2	yes	complemented
124	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
126	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
127	#11718346	C₂²	1	2	yes	complemented
128	C₄×C₈×D₁₃	C₂²	1	2	yes	—
129	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
130	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
131	C₄×C₈×D₁₃	C₂²	1	2	yes	—
132	#11718340	C₂²	1	1	yes	characteristic, complemented
133	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
134	C₈×Dic₂₆	C₂²	1	2	yes	complemented
135	C₂×Q₈×D₁₃	C₂×C₄	1	1	yes	characteristic
136	C₂×D₄×D₁₃	C₂×C₄	1	1	yes	characteristic
137	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
138	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
139	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
141	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
142	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
145	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
146	C₁₃×#126	C₂×C₄	1	2	yes	—
147	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
148	C₁₃×#124	C₂×C₄	1	1	yes	characteristic
149	C₁₃×#123	C₂×C₄	1	2	yes	—
150	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
151	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₄×D₄×C₁₃	C₂³	1	2	yes	—
155	C₁₃×#117	C₂³	1	2	yes	—
156	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
157	#88201	C₂×C₄	1	1	yes	characteristic
158	#88200	C₂×C₄	1	1	yes	characteristic
159	Q₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
160	#88193	C₂×C₄	1	2	yes	—
161	#88192	C₂×C₄	1	1	yes	characteristic
162	#88190	C₂×C₄	1	1	yes	characteristic
163	#88189	C₂×C₄	1	2	yes	—
164	D₄×Dic₁₃	C₂×C₄	1	2	yes	—
165	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
166	#88184	C₂×C₄	1	1	yes	characteristic
167	#88183	C₂×C₄	1	2	yes	—
168	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
169	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
170	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
171	#88180	C₂³	1	2	yes	—
172	#88178	C₂×C₄	1	1	yes	characteristic
173	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
174	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
175	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
176	C₂×#6099	C₂³	1	2	yes	—
177	C₂×#6099	C₂³	1	1	yes	characteristic
178	C₂×#6099	C₂³	1	1	yes	characteristic
179	C₂²×#1055	C₂³	1	2	yes	—
180	M₁₆×D₁₃	—	2	4	no	—
181	M₁₆×D₁₃	—	2	4	no	—
182	M₁₆×D₁₃	—	2	8	no	—
183	C₂×#6094	C₂³	1	1	yes	characteristic
184	C₂×#6094	C₂³	1	1	yes	characteristic
185	C₂×#6094	C₂³	1	2	yes	—
186	C₂×#6094	C₂³	1	1	yes	characteristic
187	C₂×#6094	C₂³	1	1	yes	characteristic
188	C₂×#6094	C₂³	1	2	yes	—
189	C₂×C₈×D₁₃	—	2	8	no	—
190	C₂×C₈×D₁₃	C₂³	1	2	yes	—
191	C₂×C₈×D₁₃	C₂³	1	2	yes	—
192	C₂×C₈×D₁₃	C₂³	1	2	yes	—
193	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
195	C₂×C₈×D₁₃	C₂³	1	2	yes	—
196	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
197	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
198	#88152	C₂×C₄	1	2	yes	—
199	#88152	C₂×C₄	1	2	yes	—
200	#88152	C₂×C₄	1	2	yes	—
201	#88151	C₂×C₄	1	1	yes	characteristic
202	#88150	C₂×C₄	1	2	yes	—
203	#88149	C₂×C₄	1	1	yes	characteristic
204	#88148	C₂×C₄	1	2	yes	—
205	#88148	C₂×C₄	1	2	yes	—
206	#88147	C₂×C₄	1	1	yes	characteristic
207	#88147	C₂×C₄	1	2	yes	—
208	#88146	C₂×C₄	1	2	yes	—
209	#88146	C₂×C₄	1	2	yes	—
210	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
211	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
212	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
213	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
214	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
215	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
216	#88144	C₂×C₄	1	1	yes	characteristic
217	#88144	C₂×C₄	1	1	yes	characteristic
218	#88143	C₂×C₄	1	2	yes	—
219	#88143	C₂×C₄	1	2	yes	—
220	#88141	C₂×C₄	1	1	yes	characteristic
221	#88141	C₂×C₄	1	2	yes	—
222	#88140	C₂×C₄	1	2	yes	—
223	#88139	C₂×C₄	1	2	yes	—
224	#88139	C₂×C₄	1	2	yes	—
225	#88138	C₂×C₄	1	2	yes	—
226	#88137	C₂×C₄	1	2	yes	—
227	#88137	C₂×C₄	1	2	yes	—
228	#88135	C₂×C₄	1	2	yes	—
229	#88135	C₂×C₄	1	2	yes	—
230	#88135	C₂×C₄	1	2	yes	—
231	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
232	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
233	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
234	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
235	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
236	#88133	C₂×C₄	1	2	yes	—
237	#88133	C₂×C₄	1	2	yes	—
238	#88133	C₂×C₄	1	2	yes	—
239	#88132	C₂×C₄	1	2	yes	—
240	#88131	C₂×C₄	1	2	yes	—
241	#88131	C₂×C₄	1	2	yes	—
242	#88130	C₂×C₄	1	2	yes	—
243	#88129	C₂×C₄	1	1	yes	characteristic
244	C₄×D₅₂	C₂³	1	1	yes	characteristic
245	C₄×D₅₂	C₂³	1	2	yes	—
246	#88126	C₂³	1	2	yes	—
247	#88126	C₂³	1	2	yes	—
248	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
249	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
250	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
251	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
252	C₄²×D₁₃	C₂³	1	1	yes	characteristic
253	C₄²×D₁₃	C₂³	1	1	yes	characteristic
254	C₄²×D₁₃	C₂³	1	1	yes	characteristic
255	C₄²×D₁₃	C₂³	1	1	yes	characteristic
256	C₄²×D₁₃	C₂³	1	2	yes	—
257	#88124	C₂×C₄	1	1	yes	characteristic
258	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
259	C₄×Dic₂₆	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
263	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
264	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
265	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
266	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
267	C₁₃×#97	C₂³	1	1	yes	characteristic
268	C₁₃×#97	C₂³	1	1	yes	characteristic
269	C₁₃×#97	C₂³	1	2	yes	—
270	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×C₈×C₁₃	C₂³	1	2	yes	—
273	C₄×C₈×C₁₃	C₂³	1	2	yes	—
274	C₂²⋊#1055	C₂³	1	2	yes	—
275	C₂²⋊#1055	C₂³	1	2	yes	—
276	C₂²⋊#1055	C₂³	1	2	yes	—
277	#88060	C₂³	1	2	yes	—
278	#88060	C₂³	1	2	yes	—
279	#88060	C₂³	1	2	yes	—
280	#88060	C₂³	1	2	yes	—
281	#88060	C₂³	1	2	yes	—
282	#88060	C₂³	1	2	yes	—
283	#88055	C₂³	1	2	yes	—
284	#88055	C₂³	1	1	yes	characteristic
285	#88055	C₂³	1	1	yes	characteristic
286	#88055	C₂³	1	1	yes	characteristic
287	#88055	C₂³	1	2	yes	—
288	#88055	C₂³	1	1	yes	characteristic
289	#88054	C₂³	1	2	yes	—
290	#88054	C₂³	1	2	yes	—
291	#88054	C₂³	1	2	yes	—
292	#88054	C₂³	1	2	yes	—
293	#88054	C₂³	1	2	yes	—
294	#88054	C₂³	1	2	yes	—
295	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₈×Dic₁₃	C₂³	1	2	yes	—
297	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₈×Dic₁₃	C₂³	1	2	yes	—
299	C₈×Dic₁₃	C₂³	1	2	yes	—
300	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₈×Dic₁₃	C₂³	1	2	yes	—
303	C₄⋊#1055	C₂³	1	2	yes	—
304	C₄⋊#1055	C₂³	1	2	yes	—
305	C₄⋊#1055	C₂³	1	1	yes	characteristic
306	C₄⋊#1055	C₂³	1	1	yes	characteristic
307	#88043	C₂³	1	1	yes	characteristic
308	#88043	C₂³	1	2	yes	—
309	#88043	C₂³	1	1	yes	characteristic
310	C₄×#1055	C₂³	1	2	yes	—
311	C₄×#1055	C₂³	1	2	yes	—
312	C₄×#1055	C₂³	1	1	yes	characteristic
313	C₄×#1055	C₂³	1	1	yes	characteristic
314	C₂×#2969	—	13	1	no	maximal, Sylow
315	C₂³×D₁₃	C₂²×C₄	1	2	yes	—
316	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
317	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
318	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
319	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
325	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
326	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
327	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
328	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
329	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
330	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
331	Q₈×D₁₃	—	2	4	no	—
332	D₄×D₁₃	—	2	4	no	—
333	D₄×D₁₃	—	4	4	no	—
334	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
335	C₂×D₅₂	C₂²×C₄	1	2	yes	—
336	C₂×C₄×D₁₃	—	2	4	no	—
337	C₂×C₄×D₁₃	—	2	4	no	—
338	C₂×C₄×D₁₃	—	2	2	no	—
339	C₂×C₄×D₁₃	—	2	2	no	—
340	C₂×C₄×D₁₃	—	2	4	no	—
341	C₂×C₄×D₁₃	—	4	2	no	—
342	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
345	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
346	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
347	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
348	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
349	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
350	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
351	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
352	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
353	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
354	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
355	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
356	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
358	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
360	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
361	C₁₃×M₁₆	—	2	2	no	—
362	C₁₃×M₁₆	—	2	2	no	—
363	C₁₃×M₁₆	—	2	4	no	—
364	C₂×C₈×C₁₃	—	2	4	no	—
365	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
369	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
373	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
374	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
375	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
376	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
377	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
378	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
379	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
380	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
381	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
382	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
384	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₄²×C₁₃	C₂⁴	1	2	yes	—
387	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
388	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
389	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
390	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
391	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
392	#6103	C₂²×C₄	1	2	yes	—
393	#6103	C₂²×C₄	1	2	yes	—
394	#6103	C₂²×C₄	1	2	yes	—
395	#6103	C₂²×C₄	1	2	yes	—
396	#6103	C₂²×C₄	1	2	yes	—
397	#6103	C₂²×C₄	1	2	yes	—
398	#6103	C₂²×C₄	1	2	yes	—
399	#6103	C₂²×C₄	1	2	yes	—
400	#6103	C₂²×C₄	1	2	yes	—
401	#6103	C₂²×C₄	1	2	yes	—
402	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
403	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
404	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
405	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
406	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
407	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
408	#6101	C₂²×C₄	1	2	yes	—
409	#6101	C₂²×C₄	1	2	yes	—
410	#6101	C₂²×C₄	1	2	yes	—
411	#6101	C₂²×C₄	1	2	yes	—
412	#6101	C₂²×C₄	1	2	yes	—
413	#6101	C₂²×C₄	1	2	yes	—
414	#6101	C₂²×C₄	1	2	yes	—
415	#6101	C₂²×C₄	1	2	yes	—
416	#6101	C₂²×C₄	1	2	yes	—
417	#6101	C₂²×C₄	1	2	yes	—
418	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
419	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
420	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
421	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
422	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
423	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
424	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
425	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
426	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
427	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
428	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
429	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
430	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₄×Dic₁₃	C₂⁴	1	2	yes	—
432	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	#6099	—	2	2	no	—
434	#6099	—	2	4	no	—
435	#6099	—	2	2	no	—
436	C₂×#1055	—	2	4	no	—
437	C₂×#1055	C₂⁴	1	2	yes	—
438	C₂×#1055	C₂⁴	1	1	yes	characteristic
439	C₂×#1055	C₂⁴	1	1	yes	characteristic
440	C₂×#1055	C₂⁴	1	2	yes	—
441	C₂×#1055	C₂⁴	1	1	yes	characteristic
442	C₂×#1055	C₂⁴	1	1	yes	characteristic
443	#6094	—	2	2	no	—
444	#6094	—	2	2	no	—
445	#6094	—	2	4	no	—
446	#6094	—	2	2	no	—
447	#6094	—	2	2	no	—
448	#6094	—	2	4	no	—
449	C₈×D₁₃	—	2	4	no	—
450	C₈×D₁₃	—	2	2	no	—
451	C₈×D₁₃	—	2	2	no	—
452	C₈×D₁₃	—	2	4	no	—
453	C₈×D₁₃	—	2	4	no	—
454	C₈×D₁₃	—	2	4	no	—
455	C₈×D₁₃	#41	1	4	yes	—
456	C₈×D₁₃	#41	1	4	yes	—
457	C₂×#529	—	13	1	no	—
458	#2969	—	13	1	no	—
459	#2969	—	13	1	no	—
460	#2969	—	13	1	no	—
461	#2969	—	13	2	no	—
462	#2969	—	13	2	no	—
463	#2969	—	13	1	no	—
464	#2969	—	13	2	no	—
465	#2969	—	13	1	no	—
466	#2969	—	13	2	no	—
467	#2969	—	13	1	no	—
468	#2969	—	13	1	no	—
469	#2969	D₁₃	1	1	yes	characteristic, direct product factor
470	C₂×#446	—	13	1	no	—
471	C₂×C₈×Q₈	—	13	1	no	—
472	C₂×#436	—	13	1	no	—
473	C₂×#436	—	13	2	no	—
474	C₂×#435	—	13	2	no	—
475	C₂×C₈×D₄	—	13	1	no	—
476	C₂×#433	—	13	2	no	—
477	C₂×#431	—	13	1	no	—
478	C₂×#405	—	13	2	no	—
479	C₂×C₄×M₁₆	—	13	1	no	—
480	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
481	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
482	C₂²×D₁₃	—	2	4	no	—
483	C₂²×D₁₃	—	2	2	no	—
484	C₂²×D₁₃	—	2	2	no	—
485	C₂²×D₁₃	—	2	4	no	—
486	C₂²×D₁₃	—	2	2	no	—
487	C₂²×D₁₃	—	2	4	no	—
488	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
489	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
490	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
491	Q₈×C₁₃	—	2	2	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	4	2	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	4	1	no	—
500	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
501	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
502	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
503	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
504	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
505	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
506	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
507	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
508	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
509	C₂²⋊D₁₃	—	2	4	no	—
510	C₂²⋊D₁₃	—	4	2	no	—
511	C₂²⋊D₁₃	—	4	2	no	—
512	C₂×Dic₁₃	—	2	4	no	—
513	C₂×Dic₁₃	—	2	2	no	—
514	C₂×Dic₁₃	—	2	2	no	—
515	C₂×Dic₁₃	—	4	1	no	—
516	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
517	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
518	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
519	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
520	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
521	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
522	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
523	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
524	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
525	D₅₂	—	2	2	no	—
526	D₅₂	—	4	2	no	—
527	C₄×D₁₃	—	2	4	no	—
528	C₄×D₁₃	—	2	2	no	—
529	C₄×D₁₃	—	2	2	no	—
530	C₄×D₁₃	—	2	4	no	—
531	C₄×D₁₃	—	2	2	no	—
532	C₄×D₁₃	—	2	2	no	—
533	C₄×D₁₃	—	2	4	no	—
534	C₄×D₁₃	—	2	2	no	—
535	C₄×D₁₃	—	2	2	no	—
536	C₄×D₁₃	—	2	1	no	—
537	C₄×D₁₃	—	2	1	no	—
538	C₄×D₁₃	—	2	2	no	—
539	C₄×D₁₃	—	2	4	no	—
540	C₄×D₁₃	—	2	2	no	—
541	C₄×D₁₃	—	2	2	no	—
542	C₄×D₁₃	—	4	1	no	—
543	C₄×D₁₃	—	4	1	no	—
544	C₄×D₁₃	#131	1	4	yes	—
545	C₄×D₁₃	C₂×#41	1	2	yes	—
546	C₄×D₁₃	C₂×#41	1	2	yes	—
547	Dic₂₆	—	2	2	no	—
548	Dic₂₆	—	2	4	no	—
549	C₈×C₁₃	—	2	2	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₈×C₁₃	—	2	1	no	—
552	C₈×C₁₃	—	2	2	no	—
553	C₈×C₁₃	C₂×#41	1	2	yes	—
554	C₈×C₁₃	C₂×#41	1	2	yes	—
555	#1055	—	2	2	no	—
556	#1055	—	2	1	no	—
557	#1055	—	2	1	no	—
558	#1055	—	2	2	no	—
559	#1055	C₂×#41	1	2	yes	—
560	#1055	C₂×#41	1	2	yes	—
561	C₂²×M₁₆	—	13	1	no	—
562	C₂²×M₁₆	—	13	1	no	—
563	C₂²×M₁₆	—	13	2	no	—
564	C₂³×C₈	—	13	2	no	—
565	#529	—	13	2	no	—
566	#529	—	13	1	no	—
567	#529	—	13	1	no	—
568	#529	—	13	2	no	—
569	#529	—	13	1	no	—
570	#529	—	13	1	no	—
571	#529	—	13	1	no	—
572	#529	—	13	2	no	—
573	#529	—	13	1	no	—
574	#529	—	13	2	no	—
575	#529	—	13	1	no	—
576	#529	C₂×D₁₃	1	1	yes	characteristic
577	C₂×#126	—	13	2	no	—
578	C₂×#125	—	13	1	no	—
579	C₂×#124	—	13	1	no	—
580	C₂×#123	—	13	2	no	—
581	C₂×C₂²⋊Q₈	—	13	1	no	—
582	C₂×#121	—	13	1	no	—
583	C₂×C₄×Q₈	—	13	1	no	—
584	C₂×C₄×D₄	—	13	1	no	—
585	C₂×C₄×D₄	—	13	2	no	—
586	C₂×#117	—	13	2	no	—
587	C₂²×C₄²	—	13	1	no	—
588	#446	—	13	1	no	—
589	#446	—	13	2	no	—
590	#446	—	13	1	no	—
591	#446	—	13	2	no	—
592	#446	—	13	1	no	—
593	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
594	C₈×Q₈	—	13	1	no	—
595	C₈×Q₈	—	13	2	no	—
596	C₈×Q₈	—	13	1	no	—
597	C₈×Q₈	—	13	2	no	—
598	C₈×Q₈	—	13	1	no	—
599	C₈×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
600	#436	—	13	2	no	—
601	#436	—	13	2	no	—
602	#436	—	13	2	no	—
603	#436	—	13	1	no	—
604	#436	—	13	2	no	—
605	#436	—	13	1	no	—
606	#436	—	13	2	no	—
607	#436	—	13	2	no	—
608	#436	—	13	2	no	—
609	#436	—	13	2	no	—
610	#436	—	13	1	no	—
611	#436	—	13	2	no	—
612	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
613	#436	C₂×D₁₃	1	2	yes	complemented
614	#435	—	13	2	no	—
615	#435	—	13	2	no	—
616	#435	—	13	2	no	—
617	#435	—	13	2	no	—
618	#435	—	13	2	no	—
619	#435	—	13	2	no	—
620	#435	—	13	2	no	—
621	#435	C₂×D₁₃	1	2	yes	complemented
622	C₈×D₄	—	13	2	no	—
623	C₈×D₄	—	13	1	no	—
624	C₈×D₄	—	13	1	no	—
625	C₈×D₄	—	13	2	no	—
626	C₈×D₄	—	13	1	no	—
627	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
628	#433	—	13	2	no	—
629	#433	—	13	2	no	—
630	#433	—	13	2	no	—
631	#433	—	13	2	no	—
632	#433	—	13	2	no	—
633	#433	—	13	2	no	—
634	#433	—	13	2	no	—
635	#433	C₂×D₁₃	1	2	yes	complemented
636	#431	—	13	1	no	—
637	#431	—	13	1	no	—
638	#431	—	13	1	no	—
639	#431	—	13	2	no	—
640	#431	—	13	2	no	—
641	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
642	C₂×C₄⋊C₈	—	13	1	no	—
643	C₂×C₄⋊C₈	—	13	1	no	—
644	C₂×C₄⋊C₈	—	13	2	no	—
645	C₂×C₄⋊C₈	—	13	2	no	—
646	C₂×C₂²⋊C₈	—	13	2	no	—
647	C₂×C₂²⋊C₈	—	13	2	no	—
648	C₂×C₂²⋊C₈	—	13	2	no	—
649	#405	—	13	2	no	—
650	#405	—	13	2	no	—
651	#405	—	13	2	no	—
652	#405	—	13	2	no	—
653	#405	—	13	2	no	—
654	#405	—	13	2	no	—
655	#405	—	13	2	no	—
656	#405	C₂×D₁₃	1	2	yes	complemented
657	C₄×M₁₆	—	13	1	no	—
658	C₄×M₁₆	—	13	1	no	—
659	C₄×M₁₆	—	13	1	no	—
660	C₄×M₁₆	—	13	1	no	—
661	C₄×M₁₆	—	13	1	no	—
662	C₄×M₁₆	—	13	1	no	—
663	C₄×M₁₆	—	13	1	no	—
664	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
665	C₂×#97	—	13	1	no	—
666	C₂×#97	—	13	1	no	—
667	C₂×#97	—	13	2	no	—
668	C₂×C₄×C₈	—	13	1	no	—
669	C₂×C₄×C₈	—	13	1	no	—
670	C₂×C₄×C₈	—	13	2	no	—
671	C₂×C₄×C₈	—	13	2	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
679	C₂×D₁₃	—	2	2	no	—
680	C₂×D₁₃	—	2	1	no	—
681	C₂×D₁₃	—	2	1	no	—
682	C₂×D₁₃	—	2	2	no	—
683	C₂×D₁₃	—	2	1	no	—
684	C₂×D₁₃	—	2	2	no	—
685	C₂×D₁₃	—	4	4	no	—
686	C₂×D₁₃	—	4	8	no	—
687	C₂×D₁₃	C₄×#41	1	2	yes	—
688	C₂×D₁₃	C₂×#131	1	2	yes	—
689	C₂×D₁₃	#568	1	2	yes	—
690	C₄×C₁₃	—	2	2	no	—
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	2	no	—
693	C₄×C₁₃	—	2	1	no	—
694	C₄×C₁₃	—	2	1	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	2	no	—
697	C₄×C₁₃	C₂×#131	1	2	yes	—
698	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
699	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
700	Dic₁₃	—	2	2	no	—
701	Dic₁₃	—	2	1	no	—
702	Dic₁₃	—	2	2	no	—
703	Dic₁₃	—	2	1	no	—
704	Dic₁₃	—	2	1	no	—
705	Dic₁₃	—	2	1	no	—
706	Dic₁₃	—	2	2	no	—
707	Dic₁₃	C₄×#41	1	2	yes	—
708	Dic₁₃	C₂×#131	1	2	yes	—
709	C₂²×Q₈	—	13	1	no	—
710	C₂²×D₄	—	13	1	no	—
711	C₂²×D₄	—	13	2	no	—
712	C₂³×C₄	—	13	1	no	—
713	C₂³×C₄	—	13	2	no	—
714	C₂³×C₄	—	13	1	no	—
715	C₂³×C₄	—	13	1	no	—
716	C₂×M₁₆	—	13	1	no	—
717	C₂×M₁₆	—	13	1	no	—
718	C₂×M₁₆	—	13	2	no	—
719	C₂×M₁₆	—	13	1	no	—
720	C₂×M₁₆	—	13	1	no	—
721	C₂×M₁₆	—	13	1	no	—
722	C₂×M₁₆	—	13	1	no	—
723	C₂×M₁₆	—	13	2	no	—
724	C₂×M₁₆	—	13	2	no	—
725	C₂×M₁₆	—	26	4	no	—
726	C₂×M₁₆	—	26	4	no	—
727	C₂×M₁₆	—	26	8	no	—
728	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
729	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
730	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
731	C₂²×C₈	—	13	1	no	—
732	C₂²×C₈	—	13	1	no	—
733	C₂²×C₈	—	13	2	no	—
734	C₂²×C₈	—	13	2	no	—
735	C₂²×C₈	—	13	2	no	—
736	C₂²×C₈	—	13	2	no	—
737	C₂²×C₈	—	13	1	no	—
738	C₂²×C₈	—	13	1	no	—
739	C₂²×C₈	—	13	2	no	—
740	C₂²×C₈	—	26	8	no	—
741	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
742	#126	—	13	2	no	—
743	#126	—	13	2	no	—
744	#126	—	13	2	no	—
745	#126	—	13	2	no	—
746	#126	—	13	2	no	—
747	#126	—	13	2	no	—
748	#126	—	13	2	no	—
749	#126	C₄×D₁₃	1	2	yes	—
750	#125	—	13	2	no	—
751	#125	—	13	2	no	—
752	#125	—	13	1	no	—
753	#125	—	13	1	no	—
754	#125	—	13	1	no	—
755	#125	C₄×D₁₃	1	1	yes	characteristic
756	#124	—	13	1	no	—
757	#124	—	13	1	no	—
758	#124	—	13	2	no	—
759	#124	—	13	2	no	—
760	#124	—	13	1	no	—
761	#124	C₄×D₁₃	1	1	yes	characteristic
762	#123	—	13	2	no	—
763	#123	—	13	2	no	—
764	#123	—	13	2	no	—
765	#123	—	13	2	no	—
766	#123	—	13	2	no	—
767	#123	—	13	2	no	—
768	#123	—	13	2	no	—
769	#123	C₄×D₁₃	1	2	yes	—
770	C₂²⋊Q₈	—	13	1	no	—
771	C₂²⋊Q₈	—	13	1	no	—
772	C₂²⋊Q₈	—	13	2	no	—
773	C₂²⋊Q₈	—	13	1	no	—
774	C₂²⋊Q₈	—	13	2	no	—
775	C₂²⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
776	#121	—	13	1	no	—
777	#121	—	13	2	no	—
778	#121	—	13	1	no	—
779	#121	—	13	1	no	—
780	#121	—	13	2	no	—
781	#121	C₄×D₁₃	1	1	yes	characteristic
782	C₄×Q₈	—	13	1	no	—
783	C₄×Q₈	—	13	2	no	—
784	C₄×Q₈	—	13	1	no	—
785	C₄×Q₈	—	13	2	no	—
786	C₄×Q₈	—	13	1	no	—
787	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
788	C₄×D₄	—	13	1	no	—
789	C₄×D₄	—	13	2	no	—
790	C₄×D₄	—	13	2	no	—
791	C₄×D₄	—	13	2	no	—
792	C₄×D₄	—	13	2	no	—
793	C₄×D₄	—	13	1	no	—
794	C₄×D₄	—	13	2	no	—
795	C₄×D₄	—	13	2	no	—
796	C₄×D₄	—	13	2	no	—
797	C₄×D₄	—	13	2	no	—
798	C₄×D₄	—	13	1	no	—
799	C₄×D₄	—	13	2	no	—
800	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
801	C₄×D₄	C₂²×D₁₃	1	2	yes	—
802	#117	—	13	2	no	—
803	#117	—	13	2	no	—
804	#117	—	13	2	no	—
805	#117	—	13	2	no	—
806	#117	—	13	2	no	—
807	#117	—	13	2	no	—
808	#117	—	13	2	no	—
809	#117	C₂²×D₁₃	1	2	yes	—
810	C₂×C₄⋊C₄	—	13	2	no	—
811	C₂×C₄⋊C₄	—	13	2	no	—
812	C₂×C₄⋊C₄	—	13	1	no	—
813	C₂×C₄⋊C₄	—	13	2	no	—
814	C₂×C₄⋊C₄	—	13	1	no	—
815	C₂×C₄⋊C₄	—	13	2	no	—
816	C₂×C₂²⋊C₄	—	13	2	no	—
817	C₂×C₂²⋊C₄	—	13	2	no	—
818	C₂×C₂²⋊C₄	—	13	2	no	—
819	C₂×C₂²⋊C₄	—	13	2	no	—
820	C₂×C₂²⋊C₄	—	13	2	no	—
821	C₂×C₄²	—	13	1	no	—
822	C₂×C₄²	—	13	1	no	—
823	C₂×C₄²	—	13	1	no	—
824	C₂×C₄²	—	13	1	no	—
825	C₂×C₄²	—	13	1	no	—
826	C₂×C₄²	—	13	1	no	—
827	C₂×C₄²	—	13	1	no	—
828	C₂×C₄²	—	13	1	no	—
829	C₂×C₄²	—	13	2	no	—
830	C₂×C₄²	—	13	1	no	—
831	C₂×C₄²	—	13	1	no	—
832	C₂×C₄²	—	13	1	no	—
833	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
834	C₄⋊C₈	—	13	2	no	—
835	C₄⋊C₈	—	13	2	no	—
836	C₄⋊C₈	—	13	2	no	—
837	C₄⋊C₈	—	13	2	no	—
838	C₄⋊C₈	—	13	2	no	—
839	C₄⋊C₈	—	13	2	no	—
840	C₄⋊C₈	—	13	1	no	—
841	C₄⋊C₈	—	13	1	no	—
842	C₄⋊C₈	—	13	2	no	—
843	C₄⋊C₈	—	13	2	no	—
844	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
846	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
847	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
848	C₂²⋊C₈	—	13	2	no	—
849	C₂²⋊C₈	—	13	2	no	—
850	C₂²⋊C₈	—	13	2	no	—
851	C₂²⋊C₈	—	13	2	no	—
852	C₂²⋊C₈	—	13	2	no	—
853	C₂²⋊C₈	—	13	2	no	—
854	C₂²⋊C₈	—	13	2	no	—
855	C₂²⋊C₈	—	13	2	no	—
856	C₂²⋊C₈	—	13	2	no	—
857	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
858	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
859	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
860	#97	—	13	1	no	—
861	#97	—	13	1	no	—
862	#97	—	13	1	no	—
863	#97	—	13	1	no	—
864	#97	—	13	2	no	—
865	#97	—	13	2	no	—
866	#97	—	13	1	no	—
867	#97	—	13	1	no	—
868	#97	—	13	2	no	—
869	#97	C₂²×D₁₃	1	1	yes	characteristic
870	#97	C₂²×D₁₃	1	1	yes	characteristic
871	#97	C₂²×D₁₃	1	2	yes	—
872	C₄×C₈	—	13	1	no	—
873	C₄×C₈	—	13	1	no	—
874	C₄×C₈	—	13	1	no	—
875	C₄×C₈	—	13	1	no	—
876	C₄×C₈	—	13	2	no	—
877	C₄×C₈	—	13	2	no	—
878	C₄×C₈	—	13	2	no	—
879	C₄×C₈	—	13	2	no	—
880	C₄×C₈	—	13	1	no	—
881	C₄×C₈	—	13	1	no	—
882	C₄×C₈	—	13	2	no	—
883	C₄×C₈	—	13	2	no	—
884	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
885	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
886	C₄×C₈	C₂²×D₁₃	1	2	yes	—
887	C₄×C₈	C₂²×D₁₃	1	2	yes	—
888	C₂×C₁₃	—	4	1	no	—
889	C₂×C₁₃	—	4	2	no	—
890	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
891	C₂×C₁₃	C₂²×#131	1	1	yes	characteristic
892	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
893	D₁₃	—	4	1	no	—
894	D₁₃	—	4	2	no	—
895	D₁₃	#2969	1	4	yes	direct product factor
896	C₂⁴	—	13	2	no	—
897	C₂⁴	—	13	1	no	—
898	C₂×Q₈	—	13	2	no	—
899	C₂×Q₈	—	13	1	no	—
900	C₂×Q₈	—	26	4	no	—
901	C₂×Q₈	C₂×C₄×D₁₃	1	1	yes	characteristic
902	C₂×D₄	—	13	2	no	—
903	C₂×D₄	—	13	2	no	—
904	C₂×D₄	—	13	2	no	—
905	C₂×D₄	—	13	1	no	—
906	C₂×D₄	—	13	2	no	—
907	C₂×D₄	—	26	4	no	—
908	C₂×D₄	—	52	4	no	—
909	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
910	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
911	C₂²×C₄	—	13	1	no	—
912	C₂²×C₄	—	13	1	no	—
913	C₂²×C₄	—	13	1	no	—
914	C₂²×C₄	—	13	1	no	—
915	C₂²×C₄	—	13	2	no	—
916	C₂²×C₄	—	13	1	no	—
917	C₂²×C₄	—	13	1	no	—
918	C₂²×C₄	—	13	1	no	—
919	C₂²×C₄	—	13	1	no	—
920	C₂²×C₄	—	13	1	no	—
921	C₂²×C₄	—	13	1	no	—
922	C₂²×C₄	—	13	1	no	—
923	C₂²×C₄	—	13	1	no	—
924	C₂²×C₄	—	13	2	no	—
925	C₂²×C₄	—	13	2	no	—
926	C₂²×C₄	—	13	2	no	—
927	C₂²×C₄	—	13	2	no	—
928	C₂²×C₄	—	13	1	no	—
929	C₂²×C₄	—	13	2	no	—
930	C₂²×C₄	—	13	1	no	—
931	C₂²×C₄	—	13	1	no	—
932	C₂²×C₄	—	26	4	no	—
933	C₂²×C₄	—	26	4	no	—
934	C₂²×C₄	—	26	2	no	—
935	C₂²×C₄	—	26	2	no	—
936	C₂²×C₄	—	26	4	no	—
937	C₂²×C₄	—	52	2	no	—
938	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
939	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
940	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
941	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
942	M₁₆	—	2	2	no	—
943	M₁₆	—	2	2	no	—
944	M₁₆	—	2	4	no	—
945	M₁₆	—	26	2	no	—
946	M₁₆	—	26	2	no	—
947	M₁₆	—	26	4	no	—
948	M₁₆	—	26	2	no	—
949	M₁₆	—	26	2	no	—
950	M₁₆	—	26	4	no	—
951	M₁₆	—	26	2	no	—
952	M₁₆	—	26	2	no	—
953	M₁₆	—	26	4	no	—
954	C₂×C₈	—	2	4	no	—
955	C₂×C₈	—	13	1	no	—
956	C₂×C₈	—	13	1	no	—
957	C₂×C₈	—	13	4	no	—
958	C₂×C₈	—	13	4	no	—
959	C₂×C₈	—	13	2	no	—
960	C₂×C₈	—	13	1	no	—
961	C₂×C₈	—	13	1	no	—
962	C₂×C₈	—	13	2	no	—
963	C₂×C₈	—	26	4	no	—
964	C₂×C₈	—	26	4	no	—
965	C₂×C₈	—	26	2	no	—
966	C₂×C₈	—	26	2	no	—
967	C₂×C₈	—	26	4	no	—
968	C₂×C₈	—	26	4	no	—
969	C₂×C₈	—	26	4	no	—
970	C₂×C₈	C₂³×D₁₃	1	2	yes	—
971	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
972	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
973	C₂×C₈	C₂³×D₁₃	1	2	yes	—
974	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
975	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
976	C₄⋊C₄	—	13	2	no	—
977	C₄⋊C₄	—	13	2	no	—
978	C₄⋊C₄	—	13	2	no	—
979	C₄⋊C₄	—	13	2	no	—
980	C₄⋊C₄	—	13	2	no	—
981	C₄⋊C₄	—	13	2	no	—
982	C₄⋊C₄	—	13	2	no	—
983	C₄⋊C₄	—	13	1	no	—
984	C₄⋊C₄	—	13	2	no	—
985	C₄⋊C₄	—	13	2	no	—
986	C₄⋊C₄	—	13	2	no	—
987	C₄⋊C₄	—	13	2	no	—
988	C₄⋊C₄	—	13	1	no	—
989	C₄⋊C₄	—	13	2	no	—
990	C₄⋊C₄	—	13	2	no	—
991	C₄⋊C₄	—	13	2	no	—
992	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
993	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
994	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
996	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
998	C₂²⋊C₄	—	13	2	no	—
999	C₂²⋊C₄	—	13	2	no	—
1000	C₂²⋊C₄	—	13	2	no	—
1001	C₂²⋊C₄	—	13	2	no	—
1002	C₂²⋊C₄	—	13	2	no	—
1003	C₂²⋊C₄	—	13	2	no	—
1004	C₂²⋊C₄	—	13	2	no	—
1005	C₂²⋊C₄	—	13	2	no	—
1006	C₂²⋊C₄	—	13	2	no	—
1007	C₂²⋊C₄	—	13	2	no	—
1008	C₂²⋊C₄	—	13	2	no	—
1009	C₂²⋊C₄	—	13	2	no	—
1010	C₂²⋊C₄	—	13	2	no	—
1011	C₂²⋊C₄	—	13	2	no	—
1012	C₂²⋊C₄	—	13	2	no	—
1013	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1015	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1017	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1018	C₄²	—	13	1	no	—
1019	C₄²	—	13	1	no	—
1020	C₄²	—	13	1	no	—
1021	C₄²	—	13	1	no	—
1022	C₄²	—	13	1	no	—
1023	C₄²	—	13	1	no	—
1024	C₄²	—	13	1	no	—
1025	C₄²	—	13	1	no	—
1026	C₄²	—	13	1	no	—
1027	C₄²	—	13	1	no	—
1028	C₄²	—	13	2	no	—
1029	C₄²	—	13	2	no	—
1030	C₄²	—	13	1	no	—
1031	C₄²	—	13	1	no	—
1032	C₄²	—	13	2	no	—
1033	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1034	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1035	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1036	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1037	C₄²	C₂³×D₁₃	1	2	yes	—
1038	C₁₃	C₂×#2969	1	1	yes	characteristic, complemented, Sylow
1039	C₂³	—	13	1	no	—
1040	C₂³	—	13	2	no	—
1041	C₂³	—	13	1	no	—
1042	C₂³	—	26	2	no	—
1043	C₂³	—	26	4	no	—
1044	C₂³	—	26	2	no	—
1045	C₂³	—	26	2	no	—
1046	C₂³	—	26	4	no	—
1047	C₂³	—	26	4	no	—
1048	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1049	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1050	Q₈	—	2	2	no	—
1051	Q₈	—	26	4	no	—
1052	Q₈	—	26	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	26	4	no	—
1056	D₄	—	26	2	no	—
1057	D₄	—	52	2	no	—
1058	D₄	—	52	2	no	—
1059	D₄	—	52	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	13	1	no	—
1067	C₂×C₄	—	13	1	no	—
1068	C₂×C₄	—	13	4	no	—
1069	C₂×C₄	—	13	2	no	—
1070	C₂×C₄	—	13	2	no	—
1071	C₂×C₄	—	13	1	no	—
1072	C₂×C₄	—	13	1	no	—
1073	C₂×C₄	—	13	1	no	—
1074	C₂×C₄	—	13	1	no	—
1075	C₂×C₄	—	13	2	no	—
1076	C₂×C₄	—	13	2	no	—
1077	C₂×C₄	—	13	2	no	—
1078	C₂×C₄	—	26	2	no	—
1079	C₂×C₄	—	26	2	no	—
1080	C₂×C₄	—	26	4	no	—
1081	C₂×C₄	—	26	2	no	—
1082	C₂×C₄	—	26	2	no	—
1083	C₂×C₄	—	26	4	no	—
1084	C₂×C₄	—	26	2	no	—
1085	C₂×C₄	—	26	2	no	—
1086	C₂×C₄	—	26	4	no	—
1087	C₂×C₄	—	26	4	no	—
1088	C₂×C₄	—	26	2	no	—
1089	C₂×C₄	—	26	2	no	—
1090	C₂×C₄	—	26	4	no	—
1091	C₂×C₄	—	26	2	no	—
1092	C₂×C₄	—	26	2	no	—
1093	C₂×C₄	—	26	1	no	—
1094	C₂×C₄	—	26	1	no	—
1095	C₂×C₄	—	26	2	no	—
1096	C₂×C₄	—	52	1	no	—
1097	C₂×C₄	—	52	1	no	—
1098	C₂×C₄	—	52	1	no	—
1099	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1103	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1104	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1105	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1106	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1108	C₈	—	2	2	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	2	no	—
1112	C₈	—	13	2	no	—
1113	C₈	—	13	2	no	—
1114	C₈	—	26	2	no	—
1115	C₈	—	26	1	no	—
1116	C₈	—	26	1	no	—
1117	C₈	—	26	2	no	—
1118	C₈	#41×D₁₃	1	2	yes	—
1119	C₈	#41×D₁₃	1	2	yes	—
1120	C₂²	—	2	1	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	13	2	no	—
1127	C₂²	—	13	2	no	—
1128	C₂²	—	13	2	no	—
1129	C₂²	—	26	1	no	—
1130	C₂²	—	26	2	no	—
1131	C₂²	—	26	1	no	—
1132	C₂²	—	26	2	no	—
1133	C₂²	—	26	2	no	—
1134	C₂²	—	26	1	no	—
1135	C₂²	—	52	4	no	—
1136	C₂²	—	52	8	no	—
1137	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1138	C₄	—	2	1	no	—
1139	C₄	—	2	2	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	13	2	no	—
1146	C₄	—	13	2	no	—
1147	C₄	—	26	1	no	—
1148	C₄	—	26	2	no	—
1149	C₄	—	26	1	no	—
1150	C₄	—	26	1	no	—
1151	C₄	—	26	2	no	—
1152	C₄	—	26	1	no	—
1153	C₄	—	26	2	no	—
1154	C₄	D₁₃×#131	1	2	yes	—
1155	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1156	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1157	C₂	—	4	1	no	—
1158	C₂	—	4	2	no	—
1159	C₂	—	13	4	no	—
1160	C₂	—	52	1	no	—
1161	C₂	—	52	2	no	—
1162	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1163	C₂	C₂×D₁₃×#131	1	1	yes	characteristic
1164	C₂	D₁₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2969	C₂
prime radical	D₁₃×#121	C₄
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2969	D₁₃
hypocenter	C₁₃	C₂×#2969
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2969

Complements

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

N	H ≅ G/N	type
2. #13123843	C₂	semidirect
3. #13123842	C₂	semidirect
4. #13123841	C₂	semidirect
5. #13123840	C₂	semidirect
6. #13123839	C₂	semidirect
7. #13123838	C₂	semidirect
8. #13123837	C₂	semidirect
9. #13123836	C₂	semidirect
10. #13123835	C₂	semidirect
11. #13123834	C₂	semidirect
12. #13123833	C₂	semidirect
13. D₁₃×#446	C₂	semidirect
14. C₈×Q₈×D₁₃	C₂	semidirect
15. D₁₃×#436	C₂	semidirect
16. D₁₃×#436	C₂	semidirect
17. D₁₃×#435	C₂	semidirect
18. C₈×D₄×D₁₃	C₂	semidirect
19. D₁₃×#433	C₂	semidirect
20. D₁₃×#431	C₂	semidirect
21. D₁₃×#405	C₂	semidirect
22. C₄×M₁₆×D₁₃	C₂	semidirect
23. C₁₃×#2969	C₂	semidirect
51. C₁₃×#446	C₂²	semidirect
52. C₈×Q₈×C₁₃	C₂²	semidirect
53. C₁₃×#436	C₂²	semidirect
54. C₁₃×#436	C₂²	semidirect
55. C₁₃×#435	C₂²	semidirect
56. C₈×D₄×C₁₃	C₂²	semidirect
57. C₁₃×#433	C₂²	semidirect
58. C₁₃×#431	C₂²	semidirect
59. C₁₃×#405	C₂²	semidirect
60. C₄×C₁₃×M₁₆	C₂²	semidirect
61. #11718789	C₂²	semidirect
62. #11718789	C₂²	semidirect
63. #11718789	C₂²	semidirect
64. #11718788	C₂²	semidirect
65. #11718783	C₂²	semidirect
66. M₁₆×Dic₁₃	C₂²	semidirect
67. M₁₆×Dic₁₃	C₂²	semidirect
68. #11718772	C₂²	semidirect
69. C₈×C₂²⋊D₁₃	C₂²	semidirect
70. #11718762	C₂²	semidirect
71. #11718685	C₂²	semidirect
72. Q₈×#1055	C₂²	semidirect
73. #11718673	C₂²	semidirect
74. #11718673	C₂²	semidirect
75. #11718672	C₂²	semidirect
76. D₄×#1055	C₂²	semidirect
77. #11718661	C₂²	semidirect
78. #11718658	C₂²	semidirect
79. #11718586	C₂²	semidirect
80. C₄×#6099	C₂²	semidirect
81. #11718501	C₂²	semidirect
82. #11718501	C₂²	semidirect
83. #11718499	C₂²	semidirect
84. #11718499	C₂²	semidirect
85. #11718497	C₂²	semidirect
86. #11718495	C₂²	semidirect
87. #11718494	C₂²	semidirect
88. #11718494	C₂²	semidirect
93. #11718492	C₂²	semidirect
94. #11718491	C₂²	semidirect
95. #11718491	C₂²	semidirect
96. #11718489	C₂²	semidirect
97. #11718391	C₂²	semidirect
98. #11718390	C₂²	semidirect
99. #11718390	C₂²	semidirect
100. #11718390	C₂²	semidirect
101. #11718389	C₂²	semidirect
102. #11718386	C₂²	semidirect
106. #11718381	C₂²	semidirect
107. #11718381	C₂²	semidirect
108. #11718379	C₂²	semidirect
109. #11718370	C₂²	semidirect
110. #11718369	C₂²	semidirect
111. #11718369	C₂²	semidirect
112. #11718368	C₂²	semidirect
113. #11718368	C₂²	semidirect
114. #11718367	C₂²	semidirect
118. #11718362	C₂²	semidirect
119. #11718351	C₂²	semidirect
120. #11718350	C₂²	semidirect
121. #11718350	C₂²	semidirect
122. #11718349	C₂²	semidirect
123. #11718349	C₂²	semidirect
124. C₄×#6094	C₂²	semidirect
125. C₄×#6094	C₂²	semidirect
126. C₈×D₅₂	C₂²	semidirect
127. #11718346	C₂²	semidirect
132. #11718340	C₂²	semidirect
133. C₈×Dic₂₆	C₂²	semidirect
134. C₈×Dic₂₆	C₂²	semidirect
469. #2969	D₁₃	direct (N × H)
593. #446	C₂×D₁₃	semidirect
599. C₈×Q₈	C₂×D₁₃	semidirect
612. #436	C₂×D₁₃	semidirect
613. #436	C₂×D₁₃	semidirect
621. #435	C₂×D₁₃	semidirect
627. C₈×D₄	C₂×D₁₃	semidirect
635. #433	C₂×D₁₃	semidirect
641. #431	C₂×D₁₃	semidirect
656. #405	C₂×D₁₃	semidirect
664. C₄×M₁₆	C₂×D₁₃	semidirect
895. D₁₃	#2969	direct (N × H)
1038. C₁₃	C₂×#2969	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#529	2
#13123843	2
#13123842	2
#13123841	2
#13123840	2
#13123839	2
#13123838	2
#13123837	2
#13123836	2
#13123835	2
#13123834	2
#13123833	2
D₁₃×#446	2
C₈×Q₈×D₁₃	2
D₁₃×#436	2
D₁₃×#435	2
C₈×D₄×D₁₃	2
D₁₃×#433	2
D₁₃×#431	2
D₁₃×#405	2
C₄×M₁₆×D₁₃	2
C₁₃×#2969	2
C₂×#2969	13

Subgroups — D13×#2969 #16727395

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2969 #16727395