Subgroups — #493299

Order 512.

632 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2164	C₂	1	1	yes	maximal, characteristic
2	C₂×#2151	C₂	1	1	yes	maximal, characteristic
3	#20474	C₂	1	1	yes	maximal, characteristic
4	#12663	C₂	1	1	yes	maximal, characteristic, complemented
5	#12663	C₂	1	1	yes	maximal, characteristic, complemented
6	#12662	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₆×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
8	#12654	C₂	1	1	yes	maximal, characteristic, complemented
9	#12654	C₂	1	1	yes	maximal, characteristic, complemented
10	#12653	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×C₄⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	#12612	C₂	1	1	yes	maximal, characteristic
13	#12612	C₂	1	1	yes	maximal, characteristic
14	#12611	C₂	1	1	yes	maximal, characteristic
15	C₁₆×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
16	C₂²×M₃₂	C₂²	1	1	yes	characteristic
17	C₂³×C₁₆	C₂²	1	1	yes	characteristic
18	C₂×#433	C₄	1	1	yes	characteristic
19	C₂×#405	C₂²	1	1	yes	characteristic
20	#2298	C₄	1	1	yes	characteristic
21	#2164	C₄	1	8	yes	complemented
22	#2151	C₄	1	8	yes	complemented
23	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
27	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
28	C₂×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
29	C₂×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
31	C₂×#346	C₂²	1	1	yes	characteristic
32	C₂×#346	C₂²	1	1	yes	characteristic
33	C₂×#346	C₂²	1	1	yes	characteristic
34	C₂×#346	C₂²	1	1	yes	characteristic
35	C₂×#346	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₁₆	C₂²	1	1	yes	characteristic
41	#1771	C₄	1	1	yes	characteristic
42	#1771	C₄	1	1	yes	characteristic
43	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	#1753	C₄	1	1	yes	characteristic
46	#1753	C₄	1	1	yes	characteristic
47	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	#1746	C₄	1	1	yes	characteristic
50	#1745	C₄	1	1	yes	characteristic
51	#1726	C₂²	1	1	yes	characteristic
52	C₄²×C₈	C₂²	1	1	yes	characteristic
53	#1374	C₂²	1	1	yes	characteristic
54	#1374	C₂²	1	1	yes	characteristic
55	#1374	C₂²	1	1	yes	characteristic
56	#1374	C₂²	1	1	yes	characteristic
57	#1374	C₂²	1	1	yes	characteristic
58	#1374	C₂²	1	1	yes	characteristic
59	#1374	C₂²	1	1	yes	characteristic
60	#1374	C₂²	1	1	yes	characteristic
61	C₂²×M₁₆	C₂×C₄	1	1	yes	characteristic
62	C₂³×C₈	C₂³	1	1	yes	characteristic
63	C₂×#117	C₂×C₄	1	1	yes	characteristic
64	C₂×M₃₂	—	4	1	no	—
65	C₂×M₃₂	—	4	1	no	—
66	C₂×M₃₂	C₂×C₄	1	4	yes	—
67	C₂²×C₁₆	—	4	1	no	—
68	C₂²×C₁₆	—	4	1	no	—
69	C₂²×C₁₆	C₂×C₄	1	4	yes	—
70	C₂²×C₁₆	C₂³	1	1	yes	characteristic
71	C₂²×C₁₆	C₂³	1	1	yes	characteristic
72	C₂²×C₁₆	C₂³	1	1	yes	characteristic
73	C₂²×C₁₆	C₂³	1	1	yes	characteristic
74	C₂²×C₁₆	C₂³	1	1	yes	characteristic
75	C₂²×C₁₆	C₂³	1	1	yes	characteristic
76	C₂²×C₁₆	C₂³	1	1	yes	characteristic
77	C₂²×C₁₆	C₂³	1	1	yes	characteristic
78	#433	C₈	1	8	yes	—
79	C₂×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
80	C₂×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
81	C₂×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
82	C₂×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic
83	#405	C₂×C₄	1	4	yes	—
84	#405	C₂×C₄	1	4	yes	—
85	C₂×#97	C₂×C₄	1	1	yes	characteristic
86	C₂×#97	C₂×C₄	1	1	yes	characteristic
87	C₂×#97	C₂×C₄	1	1	yes	characteristic
88	C₂×#97	C₂×C₄	1	1	yes	characteristic
89	C₂×#97	C₂×C₄	1	1	yes	characteristic
90	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
91	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
92	C₂×C₄×C₈	C₂×C₄	1	1	yes	characteristic
93	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
94	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
95	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
96	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
97	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
98	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
99	#388	C₈	1	2	yes	—
100	#388	C₈	1	2	yes	—
101	#387	C₈	1	2	yes	—
102	#387	C₈	1	2	yes	—
103	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
104	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
105	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
106	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
107	#376	C₂×C₄	1	1	yes	characteristic
108	C₄³	C₂×C₄	1	1	yes	characteristic
109	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
110	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
111	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
112	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
113	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
114	C₄⋊C₁₆	C₂×C₄	1	4	yes	—
115	C₂²⋊C₁₆	C₂×C₄	1	4	yes	—
116	C₂²⋊C₁₆	C₂×C₄	1	4	yes	—
117	#346	—	4	1	no	—
118	#346	—	4	1	no	—
119	#346	—	4	1	no	—
120	#346	—	4	1	no	—
121	#346	C₂×C₄	1	4	yes	—
122	C₄×C₁₆	—	4	1	no	—
123	C₄×C₁₆	—	4	1	no	—
124	C₄×C₁₆	—	4	1	no	—
125	C₄×C₁₆	—	4	1	no	—
126	C₄×C₁₆	C₂×C₄	1	4	yes	—
127	#336	C₂×C₄	1	1	yes	characteristic
128	#336	C₂×C₄	1	1	yes	characteristic
129	#336	C₂×C₄	1	1	yes	characteristic
130	#336	C₂×C₄	1	1	yes	characteristic
131	#336	C₂×C₄	1	1	yes	characteristic
132	#336	C₂×C₄	1	1	yes	characteristic
133	#336	C₂×C₄	1	1	yes	characteristic
134	#336	C₂×C₄	1	1	yes	characteristic
135	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
136	C₂×M₁₆	—	4	1	no	—
137	C₂×M₁₆	—	4	1	no	—
138	C₂×M₁₆	C₄²	1	4	yes	—
139	C₂²×C₈	—	2	1	no	—
140	C₂²×C₈	—	2	1	no	—
141	C₂²×C₈	—	2	1	no	—
142	C₂²×C₈	—	2	1	no	—
143	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
144	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
145	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
146	C₂²×C₈	C₂²×C₄	1	2	yes	—
147	C₂²×C₈	C₂²×C₄	1	2	yes	—
148	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
149	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
150	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
151	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
152	C₂²×C₈	C₂⁴	1	1	yes	characteristic
153	#117	C₄²	1	4	yes	—
154	#117	C₂×C₈	1	4	yes	—
155	C₂×C₄⋊C₄	C₂×C₈	1	2	yes	—
156	C₂×C₄⋊C₄	C₂×C₈	1	2	yes	—
157	C₂×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
158	C₂×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
159	C₂×C₂²⋊C₄	C₂×C₈	1	2	yes	—
160	C₂×C₂²⋊C₄	C₂×C₈	1	2	yes	—
161	C₂×C₂²⋊C₄	C₂×C₈	1	1	yes	characteristic
162	C₂×C₂²⋊C₄	C₂×C₈	1	1	yes	characteristic
163	C₂×C₄²	C₂×C₈	1	2	yes	—
164	C₂×C₄²	C₂×C₈	1	2	yes	—
165	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
166	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
167	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
168	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
169	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
170	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
171	M₃₂	—	4	4	no	—
172	C₂×C₁₆	—	2	1	no	—
173	C₂×C₁₆	—	2	1	no	—
174	C₂×C₁₆	—	2	1	no	—
175	C₂×C₁₆	—	2	1	no	—
176	C₂×C₁₆	—	2	1	no	—
177	C₂×C₁₆	—	2	1	no	—
178	C₂×C₁₆	—	2	1	no	—
179	C₂×C₁₆	—	2	1	no	—
180	C₂×C₁₆	—	2	1	no	—
181	C₂×C₁₆	—	2	1	no	—
182	C₂×C₁₆	—	2	1	no	—
183	C₂×C₁₆	—	2	1	no	—
184	C₂×C₁₆	—	2	1	no	—
185	C₂×C₁₆	—	2	1	no	—
186	C₂×C₁₆	—	2	1	no	—
187	C₂×C₁₆	—	2	1	no	—
188	C₂×C₁₆	—	4	4	no	—
189	C₂×C₁₆	C₂²×C₄	1	2	yes	—
190	C₂×C₁₆	C₂²×C₄	1	2	yes	—
191	C₂×C₁₆	C₂²×C₄	1	2	yes	—
192	C₂×C₁₆	C₂²×C₄	1	2	yes	—
193	C₂×C₁₆	C₂²×C₄	1	2	yes	—
194	C₂×C₁₆	C₂²×C₄	1	2	yes	—
195	C₂×C₁₆	C₂²×C₄	1	2	yes	—
196	C₂×C₁₆	C₂²×C₄	1	2	yes	—
197	C₄⋊C₈	C₂×C₈	1	4	yes	—
198	C₄⋊C₈	C₂×C₈	1	4	yes	—
199	C₂²⋊C₈	C₂×C₈	1	4	yes	—
200	C₂²⋊C₈	C₂×C₈	1	4	yes	—
201	#97	—	4	1	no	—
202	#97	—	4	1	no	—
203	#97	C₄²	1	4	yes	—
204	#97	C₄²	1	4	yes	—
205	#97	C₂×C₈	1	4	yes	—
206	C₄×C₈	—	2	1	no	—
207	C₄×C₈	—	2	1	no	—
208	C₄×C₈	—	2	1	no	—
209	C₄×C₈	—	2	1	no	—
210	C₄×C₈	—	2	1	no	—
211	C₄×C₈	—	2	1	no	—
212	C₄×C₈	—	2	1	no	—
213	C₄×C₈	—	2	1	no	—
214	C₄×C₈	—	4	1	no	—
215	C₄×C₈	—	4	1	no	—
216	C₄×C₈	C₂×C₈	1	4	yes	—
217	C₄×C₈	C₂²×C₄	1	2	yes	—
218	C₄×C₈	C₂²×C₄	1	2	yes	—
219	C₄×C₈	C₂²×C₄	1	2	yes	—
220	C₄×C₈	C₂²×C₄	1	2	yes	—
221	#95	C₂×C₈	1	2	yes	—
222	#95	C₂×C₈	1	2	yes	—
223	#95	C₂×C₈	1	2	yes	—
224	#95	C₂×C₈	1	2	yes	—
225	#95	C₂×C₈	1	2	yes	—
226	#95	C₂×C₈	1	2	yes	—
227	C₂⁴	C₂²×C₈	1	1	yes	characteristic
228	C₂²×C₄	—	2	1	no	—
229	C₂²×C₄	—	2	1	no	—
230	C₂²×C₄	—	2	1	no	—
231	C₂²×C₄	—	2	1	no	—
232	C₂²×C₄	C₂×C₄²	1	2	yes	—
233	C₂²×C₄	C₂²×C₈	1	2	yes	—
234	C₂²×C₄	C₂²×C₈	1	2	yes	—
235	C₂²×C₄	C₂²×C₈	1	2	yes	—
236	C₂²×C₄	C₂²×C₈	1	2	yes	—
237	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
240	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
241	C₂²×C₄	C₂²×C₈	1	1	yes	characteristic
242	C₂²×C₄	C₂²×C₈	1	2	yes	—
243	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
244	M₁₆	—	4	4	no	—
245	C₂×C₈	—	2	1	no	—
246	C₂×C₈	—	2	1	no	—
247	C₂×C₈	—	2	1	no	—
248	C₂×C₈	—	2	1	no	—
249	C₂×C₈	—	2	1	no	—
250	C₂×C₈	—	2	1	no	—
251	C₂×C₈	—	2	1	no	—
252	C₂×C₈	—	2	1	no	—
253	C₂×C₈	—	2	1	no	—
254	C₂×C₈	—	2	1	no	—
255	C₂×C₈	—	2	1	no	—
256	C₂×C₈	—	2	1	no	—
257	C₂×C₈	—	2	1	no	—
258	C₂×C₈	—	2	1	no	—
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	2	2	no	—
261	C₂×C₈	—	2	2	no	—
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	C₂×C₄²	1	2	yes	—
264	C₂×C₈	C₂×C₄²	1	2	yes	—
265	C₂×C₈	C₂×C₄²	1	2	yes	—
266	C₂×C₈	C₂²×C₈	1	2	yes	—
267	C₂×C₈	C₂²×C₈	1	2	yes	—
268	C₂×C₈	C₂²×C₈	1	2	yes	—
269	C₂×C₈	C₂²×C₈	1	2	yes	—
270	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
271	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
272	C₂×C₈	H(5,𝔽₂)	1	1	yes	characteristic
273	C₂×C₈	H(5,𝔽₂)	1	1	yes	characteristic
274	C₂×C₈	2₋¹⁺⁴	1	1	yes	characteristic
275	C₂×C₈	2₋¹⁺⁴	1	1	yes	characteristic
276	C₄⋊C₄	—	2	4	no	—
277	C₄⋊C₄	—	4	2	no	—
278	C₄⋊C₄	C₄×C₈	1	4	yes	—
279	C₄⋊C₄	C₄×C₈	1	4	yes	—
280	C₂²⋊C₄	—	2	4	no	—
281	C₂²⋊C₄	—	4	2	no	—
282	C₂²⋊C₄	C₄×C₈	1	4	yes	—
283	C₂²⋊C₄	C₄×C₈	1	4	yes	—
284	C₄²	—	2	1	no	—
285	C₄²	—	2	1	no	—
286	C₄²	—	2	1	no	—
287	C₄²	—	2	1	no	—
288	C₄²	—	2	1	no	—
289	C₄²	—	2	1	no	—
290	C₄²	—	2	1	no	—
291	C₄²	—	2	1	no	—
292	C₄²	—	2	4	no	—
293	C₄²	—	4	2	no	—
294	C₄²	C₂×C₄²	1	2	yes	—
295	C₄²	C₂×C₄²	1	2	yes	—
296	C₄²	C₂²×C₈	1	2	yes	—
297	C₄²	C₂²×C₈	1	2	yes	—
298	C₁₆	—	2	2	no	—
299	C₁₆	—	2	2	no	—
300	C₁₆	—	2	2	no	—
301	C₁₆	—	2	2	no	—
302	C₁₆	—	2	2	no	—
303	C₁₆	—	2	2	no	—
304	C₁₆	—	2	2	no	—
305	C₁₆	—	2	2	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	2	2	no	—
308	C₂³	—	2	1	no	—
309	C₂³	—	2	1	no	—
310	C₂³	C₂×C₄×C₈	1	2	yes	—
311	C₂³	C₂³×C₈	1	1	yes	characteristic
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	C₂×C₄×C₈	1	2	yes	—
334	C₂×C₄	C₂×C₄×C₈	1	2	yes	—
335	C₂×C₄	C₂×C₄×C₈	1	2	yes	—
336	C₂×C₄	C₂×C₄×C₈	1	2	yes	—
337	C₂×C₄	C₂×C₄×C₈	1	2	yes	—
338	C₂×C₄	#504	1	4	yes	—
339	C₂×C₄	C₂²×C₄²	1	1	yes	characteristic
340	C₂×C₄	#520	1	1	yes	characteristic
341	C₂×C₄	#520	1	1	yes	characteristic
342	C₂×C₄	C₂³×C₈	1	1	yes	characteristic
343	C₂×C₄	#568	1	1	yes	characteristic
344	C₂×C₄	#568	1	1	yes	characteristic
345	C₈	—	2	2	no	—
346	C₈	—	2	2	no	—
347	C₈	—	2	2	no	—
348	C₈	—	2	2	no	—
349	C₈	—	2	2	no	—
350	C₈	—	2	2	no	—
351	C₈	—	2	2	no	—
352	C₈	#518	1	1	yes	characteristic
353	C₈	#519	1	1	yes	characteristic
354	C₈	#520	1	1	yes	characteristic
355	C₈	#520	1	1	yes	characteristic
356	C₂²	—	2	2	no	—
357	C₂²	—	2	2	no	—
358	C₂²	—	2	2	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	2	no	—
361	C₂²	C₂²×C₄×C₈	1	1	yes	characteristic
362	C₂²	#2988	1	1	yes	characteristic
363	C₂²	#2988	1	1	yes	characteristic
364	C₂²	C₂×#504	1	2	yes	—
365	C₂²	#3407	1	2	yes	—
366	C₄	—	2	2	no	—
367	C₄	—	2	2	no	—
368	C₄	—	2	2	no	—
369	C₄	—	2	2	no	—
370	C₄	—	2	2	no	—
371	C₄	—	2	4	no	—
372	C₄	—	4	2	no	—
373	C₄	—	4	2	no	—
374	C₄	—	4	2	no	—
375	C₄	#2274	1	1	yes	characteristic
376	C₄	#2873	1	1	yes	characteristic
377	C₄	#2988	1	1	yes	characteristic
378	C₄	#2988	1	1	yes	characteristic
379	C₂	—	4	2	no	—
380	C₂	#20543	1	1	yes	characteristic
381	C₂	C₄×#504	1	1	yes	characteristic
382	C₂	#33326	1	1	yes	characteristic
383	C₂	#33506	1	2	yes	—
384	C₂	#33507	1	2	yes	—

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₈	C₂⁴
commutator	C₂²	C₂²×C₄×C₈
socle	C₂³	C₂³×C₈
prime radical	C₂⁴	C₂²×C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈ ◁ G
LECS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
4. #12663	C₂	semidirect
5. #12663	C₂	semidirect
6. #12662	C₂	semidirect
7. C₁₆×C₄⋊C₄	C₂	semidirect
8. #12654	C₂	semidirect
9. #12654	C₂	semidirect
10. #12653	C₂	semidirect
11. C₄×C₄⋊C₁₆	C₂	semidirect
21. #2164	C₄	semidirect
22. #2151	C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2164	2
C₂×#2151	2
#20474	2
#12663	2
#12662	2
C₁₆×C₄⋊C₄	2
#12654	2
#12653	2
C₄×C₄⋊C₁₆	2
#12612	2
#12611	2
C₁₆×C₂²⋊C₄	2