Subgroups — #16016103

Order 3328.

690 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11718562	C₂	1	2	yes	maximal, complemented
2	#13123543	C₂	1	1	yes	maximal, characteristic
3	#13116668	C₂	1	1	yes	maximal, characteristic, complemented
4	#13116667	C₂	1	1	yes	maximal, characteristic, complemented
5	#13116665	C₂	1	2	yes	maximal, complemented
6	C₁₆×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₆×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
8	#13116590	C₂	1	1	yes	maximal, characteristic, complemented
9	#13116448	C₂	1	2	yes	maximal, complemented
10	C₄×C₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#88155	C₂²	1	2	yes	—
13	#11719253	C₄	1	1	yes	characteristic
14	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
15	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
16	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	—
17	C₂×#88052	C₂²	1	2	yes	—
18	#11718673	C₄	1	1	yes	characteristic
19	#11718562	—	2	8	no	—
20	C₂×#88038	C₂²	1	2	yes	—
21	C₂×#88038	C₂²	1	2	yes	—
22	C₂×C₁₆×D₁₃	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₁₃	C₂²	1	2	yes	—
24	C₂×C₁₆×D₁₃	C₂²	1	1	yes	characteristic
25	#11718499	C₄	1	1	yes	characteristic
26	#11718498	C₄	1	1	yes	characteristic
27	#11718390	C₄	1	2	yes	—
28	#11718388	C₄	1	2	yes	—
29	C₈×D₅₂	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
32	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
33	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
34	C₂²⋊#6090	C₂²	1	2	yes	—
35	#11718099	C₂²	1	2	yes	—
36	#11718099	C₂²	1	2	yes	—
37	#11718093	C₂²	1	2	yes	—
38	C₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
39	C₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
40	C₄⋊#6090	C₂²	1	1	yes	characteristic
41	C₄×#6090	C₂²	1	1	yes	characteristic
42	C₂×#6127	C₂×C₄	1	2	yes	—
43	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
44	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
45	#88194	C₈	1	1	yes	characteristic
46	#88192	C₈	1	1	yes	characteristic
47	C₄×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
48	C₂×#6099	C₂×C₄	1	2	yes	—
49	#88155	—	2	4	no	—
50	#88155	—	2	4	no	—
51	C₂×#6094	C₂×C₄	1	2	yes	—
52	C₂×#6094	C₂×C₄	1	2	yes	—
53	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₃	C₂³	1	2	yes	—
55	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
56	#88149	C₈	1	1	yes	characteristic
57	#88142	C₈	1	1	yes	characteristic
58	#88139	C₈	1	2	yes	—
59	#88138	C₈	1	2	yes	—
60	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
61	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
62	C₂×C₁₃×C₁₆	—	2	4	no	—
63	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
64	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
65	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
66	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
67	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
68	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
69	C₂²⋊#1055	C₂×C₄	1	2	yes	—
70	#88060	C₂×C₄	1	2	yes	—
71	#88060	C₂×C₄	1	2	yes	—
72	#88054	C₂×C₄	1	2	yes	—
73	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
74	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
75	#88052	—	2	4	no	—
76	C₂×#6090	C₂³	1	2	yes	—
77	C₂×#6090	C₂³	1	1	yes	characteristic
78	C₂×#6090	C₂³	1	1	yes	characteristic
79	C₄⋊#1055	C₂×C₄	1	1	yes	characteristic
80	C₄×#1055	C₂×C₄	1	1	yes	characteristic
81	#88038	—	2	4	no	—
82	#88038	—	2	4	no	—
83	C₁₆×D₁₃	—	2	2	no	—
84	C₁₆×D₁₃	—	2	4	no	—
85	C₁₆×D₁₃	D₄	1	4	yes	complemented
86	#33434	—	13	1	no	maximal, Sylow
87	C₂×D₄×C₁₃	C₂×C₈	1	1	yes	characteristic
88	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
89	C₂×C₂²⋊D₁₃	C₂×C₈	1	2	yes	—
90	C₂×C₂²⋊D₁₃	C₂×C₈	1	2	yes	—
91	C₂×C₂²⋊D₁₃	C₂×C₈	1	2	yes	—
92	#6127	—	2	4	no	—
93	#6127	—	2	4	no	—
94	C₂×D₅₂	C₂×C₈	1	1	yes	characteristic
95	C₂×D₅₂	C₂×C₈	1	2	yes	—
96	C₂×C₄×D₁₃	C₂×C₈	1	1	yes	characteristic
97	C₂×C₄×D₁₃	C₂×C₈	1	1	yes	characteristic
98	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
99	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×Dic₂₆	C₂×C₈	1	2	yes	—
101	C₂×C₈×C₁₃	—	2	2	no	—
102	C₂×C₈×C₁₃	—	2	2	no	—
103	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
106	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
107	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
108	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
109	C₂²⋊Dic₁₃	C₂×C₈	1	2	yes	—
110	#6103	C₂×C₈	1	2	yes	—
111	#6103	C₂×C₈	1	2	yes	—
112	C₄⋊Dic₁₃	C₂×C₈	1	1	yes	characteristic
113	#6101	C₂×C₈	1	2	yes	—
114	C₄×Dic₁₃	C₂×C₈	1	1	yes	characteristic
115	C₄×Dic₁₃	C₂×C₈	1	1	yes	characteristic
116	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
117	#6099	—	2	4	no	—
118	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
119	C₂×#1055	C₂²×C₄	1	2	yes	—
120	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
121	#6094	—	2	4	no	—
122	#6094	—	2	4	no	—
123	C₈×D₁₃	—	2	2	no	—
124	C₈×D₁₃	—	2	2	no	—
125	C₈×D₁₃	—	2	2	no	—
126	C₈×D₁₃	C₂×D₄	1	2	yes	—
127	C₈×D₁₃	#41	1	2	yes	—
128	C₁₃×C₁₆	—	2	2	no	—
129	C₁₃×C₁₆	—	2	1	no	—
130	C₁₃×C₁₆	C₂×D₄	1	2	yes	—
131	#6090	—	2	2	no	—
132	#6090	—	2	1	no	—
133	#6090	C₂×D₄	1	2	yes	—
134	C₂×#504	—	13	2	no	—
135	#2931	—	13	1	no	—
136	#2169	—	13	1	no	—
137	#2169	—	13	1	no	—
138	#2169	—	13	2	no	—
139	D₄×C₁₆	—	13	2	no	—
140	D₄×C₁₆	—	13	1	no	—
141	D₄×C₁₆	D₁₃	1	1	yes	characteristic, complemented
142	#2150	—	13	1	no	—
143	#2113	—	13	2	no	—
144	C₂×C₄×C₁₆	—	13	1	no	—
145	C₂³×C₁₃	C₂²×C₈	1	2	yes	—
146	C₂²×D₁₃	C₂²×C₈	1	2	yes	—
147	C₂²×D₁₃	C₂²×C₈	1	1	yes	characteristic
148	D₄×C₁₃	—	2	2	no	—
149	C₂×C₄×C₁₃	—	2	2	no	—
150	C₂×C₄×C₁₃	—	2	2	no	—
151	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
152	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
153	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
155	C₂²⋊D₁₃	—	2	4	no	—
156	C₂²⋊D₁₃	—	2	4	no	—
157	C₂²⋊D₁₃	—	2	4	no	—
158	C₂×Dic₁₃	C₂²×C₈	1	1	yes	characteristic
159	C₂×Dic₁₃	C₂²×C₈	1	2	yes	—
160	C₂×Dic₁₃	C₂²×C₈	1	1	yes	characteristic
161	C₂×Dic₁₃	C₂²×C₈	1	1	yes	characteristic
162	D₅₂	—	2	4	no	—
163	D₅₂	—	2	2	no	—
164	C₄×D₁₃	—	2	2	no	—
165	C₄×D₁₃	—	2	2	no	—
166	C₄×D₁₃	—	2	2	no	—
167	C₄×D₁₃	—	2	2	no	—
168	C₄×D₁₃	C₄×D₄	1	2	yes	—
169	C₄×D₁₃	#131	1	2	yes	—
170	Dic₂₆	—	2	4	no	—
171	C₈×C₁₃	—	2	2	no	—
172	C₈×C₁₃	—	2	1	no	—
173	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
174	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
175	#1055	—	2	2	no	—
176	#1055	—	2	1	no	—
177	#1055	C₄×D₄	1	2	yes	—
178	C₂×#131	—	13	2	no	—
179	#532	—	13	1	no	—
180	#504	—	26	8	no	—
181	C₂×M₃₂	—	13	2	no	—
182	C₂×M₃₂	—	13	2	no	—
183	C₂×M₃₂	—	13	2	no	—
184	C₂²×C₁₆	—	13	1	no	—
185	C₂²×C₁₆	—	13	1	no	—
186	C₂²×C₁₆	—	13	2	no	—
187	C₂²×C₁₆	C₂×D₁₃	1	2	yes	—
188	#436	—	13	1	no	—
189	#436	—	13	1	no	—
190	#436	—	13	2	no	—
191	C₈×D₄	—	13	2	no	—
192	C₈×D₄	—	13	1	no	—
193	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
194	#423	—	13	1	no	—
195	#408	—	13	2	no	—
196	C₂×C₄×C₈	—	13	1	no	—
197	C₄⋊C₁₆	—	13	2	no	—
198	C₄⋊C₁₆	—	13	1	no	—
199	C₄⋊C₁₆	C₂×D₁₃	1	1	yes	characteristic
200	C₂²⋊C₁₆	—	13	2	no	—
201	C₂²⋊C₁₆	—	13	2	no	—
202	C₂²⋊C₁₆	—	13	2	no	—
203	C₂²⋊C₁₆	C₂×D₁₃	1	2	yes	—
204	C₄×C₁₆	—	13	1	no	—
205	C₄×C₁₆	—	13	1	no	—
206	C₄×C₁₆	—	13	1	no	—
207	C₄×C₁₆	C₂×D₁₃	1	1	yes	characteristic
208	C₂²×C₁₃	—	2	2	no	—
209	C₂²×C₁₃	—	2	2	no	—
210	C₂²×C₁₃	—	2	2	no	—
211	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
212	C₂×D₁₃	—	2	1	no	—
213	C₂×D₁₃	—	2	1	no	—
214	C₂×D₁₃	—	2	2	no	—
215	C₂×D₁₃	—	2	2	no	—
216	C₂×D₁₃	—	2	2	no	—
217	C₂×D₁₃	C₈×D₄	1	2	yes	—
218	C₄×C₁₃	—	2	1	no	—
219	C₄×C₁₃	—	2	2	no	—
220	C₄×C₁₃	#504	1	2	yes	complemented
221	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
222	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
223	Dic₁₃	—	2	1	no	—
224	Dic₁₃	—	2	2	no	—
225	Dic₁₃	C₈×D₄	1	2	yes	—
226	Dic₁₃	#504	1	2	yes	complemented
227	C₂×#41	—	13	2	no	—
228	#131	—	26	4	no	—
229	#131	—	26	4	no	—
230	C₂×M₁₆	—	13	2	no	—
231	C₂×M₁₆	—	13	2	no	—
232	C₂×M₁₆	—	13	2	no	—
233	C₂²×C₈	—	13	1	no	—
234	C₂²×C₈	—	13	1	no	—
235	C₂²×C₈	—	13	2	no	—
236	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
237	C₄⋊Q₈	—	13	1	no	—
238	#127	—	13	1	no	—
239	#124	—	13	2	no	—
240	#121	—	13	1	no	—
241	#121	—	13	1	no	—
242	#121	—	13	2	no	—
243	C₄×D₄	—	13	2	no	—
244	C₄×D₄	—	13	1	no	—
245	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
246	C₂×C₄²	—	13	1	no	—
247	M₃₂	—	26	4	no	—
248	M₃₂	—	26	4	no	—
249	M₃₂	—	26	4	no	—
250	C₂×C₁₆	—	2	4	no	—
251	C₂×C₁₆	—	13	1	no	—
252	C₂×C₁₆	—	13	4	no	—
253	C₂×C₁₆	—	13	1	no	—
254	C₂×C₁₆	—	13	2	no	—
255	C₂×C₁₆	—	26	2	no	—
256	C₂×C₁₆	—	26	4	no	—
257	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
258	C₂×C₁₆	C₂²×D₁₃	1	2	yes	—
259	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
260	C₄⋊C₈	—	13	2	no	—
261	C₄⋊C₈	—	13	1	no	—
262	C₄⋊C₈	C₄×D₁₃	1	1	yes	characteristic
263	C₂²⋊C₈	—	13	2	no	—
264	C₂²⋊C₈	—	13	2	no	—
265	C₂²⋊C₈	—	13	2	no	—
266	C₂²⋊C₈	C₄×D₁₃	1	2	yes	—
267	C₄×C₈	—	13	1	no	—
268	C₄×C₈	—	13	1	no	—
269	C₄×C₈	—	13	1	no	—
270	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
271	C₂×C₁₃	—	4	2	no	—
272	C₂×C₁₃	C₂×C₈×D₄	1	1	yes	characteristic
273	C₂×C₁₃	C₂×#504	1	1	yes	characteristic
274	C₂×C₁₃	C₂×#504	1	1	yes	characteristic
275	D₁₃	—	2	2	no	—
276	D₁₃	—	4	2	no	—
277	#41	—	26	4	no	—
278	#41	—	26	4	no	—
279	C₂×Q₈	—	13	2	no	—
280	C₂×D₄	—	13	2	no	—
281	C₂×D₄	—	13	2	no	—
282	C₂×D₄	—	13	2	no	—
283	C₂×D₄	—	13	1	no	—
284	C₂×D₄	—	13	2	no	—
285	C₂×D₄	C₈×D₁₃	1	1	yes	characteristic
286	C₂²×C₄	—	13	1	no	—
287	C₂²×C₄	—	13	1	no	—
288	C₂²×C₄	—	13	1	no	—
289	C₂²×C₄	—	13	2	no	—
290	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
291	M₁₆	—	26	4	no	—
292	M₁₆	—	26	4	no	—
293	M₁₆	—	26	4	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	13	1	no	—
297	C₂×C₈	—	13	2	no	—
298	C₂×C₈	—	13	2	no	—
299	C₂×C₈	—	13	1	no	—
300	C₂×C₈	—	13	2	no	—
301	C₂×C₈	—	26	2	no	—
302	C₂×C₈	—	26	2	no	—
303	C₂×C₈	—	26	2	no	—
304	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
305	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
306	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
307	C₄⋊C₄	—	13	2	no	—
308	C₄⋊C₄	—	13	1	no	—
309	C₄⋊C₄	C₈×D₁₃	1	1	yes	characteristic
310	C₂²⋊C₄	—	13	2	no	—
311	C₂²⋊C₄	—	13	2	no	—
312	C₂²⋊C₄	—	13	2	no	—
313	C₂²⋊C₄	C₈×D₁₃	1	2	yes	—
314	C₄²	—	13	1	no	—
315	C₄²	—	13	1	no	—
316	C₄²	—	13	1	no	—
317	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
318	C₁₆	—	2	2	no	—
319	C₁₆	—	2	1	no	—
320	C₁₆	—	13	2	no	—
321	C₁₆	—	26	2	no	—
322	C₁₆	—	26	1	no	—
323	C₁₆	D₄×D₁₃	1	2	yes	—
324	C₁₃	#33434	1	1	yes	characteristic, complemented, Sylow
325	C₂³	—	13	1	no	—
326	C₂³	—	13	2	no	—
327	C₂³	C₂×C₈×D₁₃	1	2	yes	—
328	Q₈	—	26	4	no	—
329	D₄	—	2	2	no	—
330	D₄	—	26	4	no	—
331	D₄	—	26	4	no	—
332	D₄	—	26	4	no	—
333	D₄	—	26	4	no	—
334	D₄	—	26	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	13	1	no	—
338	C₂×C₄	—	13	1	no	—
339	C₂×C₄	—	13	2	no	—
340	C₂×C₄	—	13	2	no	—
341	C₂×C₄	—	13	1	no	—
342	C₂×C₄	—	13	2	no	—
343	C₂×C₄	—	26	2	no	—
344	C₂×C₄	—	26	2	no	—
345	C₂×C₄	—	26	2	no	—
346	C₂×C₄	—	26	2	no	—
347	C₂×C₄	C₂×C₈×D₁₃	1	1	yes	characteristic
348	C₂×C₄	C₂×C₈×D₁₃	1	2	yes	—
349	C₂×C₄	C₂×C₈×D₁₃	1	1	yes	characteristic
350	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
351	C₈	—	2	1	no	—
352	C₈	—	2	2	no	—
353	C₈	—	13	2	no	—
354	C₈	—	26	1	no	—
355	C₈	—	26	2	no	—
356	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
357	C₈	#41×D₁₃	1	1	yes	characteristic
358	C₂²	—	2	2	no	—
359	C₂²	—	2	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	13	2	no	—
362	C₂²	—	26	1	no	—
363	C₂²	—	26	1	no	—
364	C₂²	—	26	2	no	—
365	C₂²	—	26	2	no	—
366	C₂²	—	26	2	no	—
367	C₂²	C₂²×C₈×D₁₃	1	1	yes	characteristic
368	C₄	—	2	2	no	—
369	C₄	—	2	1	no	—
370	C₄	—	13	2	no	—
371	C₄	—	13	2	no	—
372	C₄	—	26	2	no	—
373	C₄	—	26	1	no	—
374	C₄	#11718562	1	2	yes	complemented
375	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
376	C₄	D₁₃×#131	1	1	yes	characteristic
377	C₂	—	4	2	no	—
378	C₂	—	26	2	no	—
379	C₂	—	52	2	no	—
380	C₂	C₈×D₄×D₁₃	1	1	yes	characteristic
381	C₂	D₁₃×#504	1	1	yes	characteristic
382	C₂	C₂×#11718562	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₁₆	C₂²×D₁₃
commutator, socle	C₂²×C₁₃	C₂³×C₈
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	D₄×C₁₃×C₁₆	C₂
prime radical	#11719253	C₄
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	D₄×C₁₆	D₁₃
hypocenter	C₁₃	#33434
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₁₆ ◁ D₄×C₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×#11718562	C₂	semidirect
3. #13116668	C₂	semidirect
4. #13116667	C₂	semidirect
5. #13116665	C₂	semidirect
6. C₁₆×D₅₂	C₂	semidirect
7. C₁₆×C₂²⋊D₁₃	C₂	semidirect
8. #13116590	C₂	semidirect
9. #13116448	C₂	semidirect
10. C₄×C₁₆×D₁₃	C₂	semidirect
11. D₄×C₁₃×C₁₆	C₂	semidirect
85. C₁₆×D₁₃	D₄	semidirect
141. D₄×C₁₆	D₁₃	semidirect
220. C₄×C₁₃	#504	semidirect
226. Dic₁₃	#504	semidirect
324. C₁₃	#33434	semidirect
374. C₄	#11718562	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11718562	2
#13123543	2
#13116668	2
#13116667	2
#13116665	2
C₁₆×D₅₂	2
C₁₆×C₂²⋊D₁₃	2
#13116590	2
#13116448	2
C₄×C₁₆×D₁₃	2
D₄×C₁₃×C₁₆	2
#33434	13