Subgroups — C₂×#19136495 #25250040

Order 11008.

710 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583337	C₂	1	1	yes	maximal, characteristic
2	C₂×#14583022	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583012	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136495	C₂	1	8	yes	maximal, direct product factor
5	C₂×#14582722	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14582713	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582710	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#347	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13063347	C₂²	1	1	yes	characteristic
10	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
11	C₂×#13063331	—	2	1	no	—
12	C₂×C₄×D₁₇₂	—	2	1	no	—
13	#14583337	C₄	1	4	yes	complemented
14	#14583337	C₂²	1	4	yes	—
15	C₂×#13063270	C₄	1	2	yes	complemented
16	C₂×D₆₈₈	C₄	1	2	yes	complemented
17	#14583022	—	2	2	no	—
18	#14583022	C₂²	1	4	yes	complemented
19	#14583012	—	2	2	no	—
20	#14583012	C₂²	1	4	yes	complemented
21	C₂×#13063261	C₂²	1	1	yes	characteristic
22	C₂×#13063257	C₂²	1	1	yes	characteristic
23	C₂×#13063253	—	2	1	no	—
24	C₂×#13063247	—	2	1	no	—
25	#14582722	C₂²	1	4	yes	complemented
26	#14582713	C₂²	1	4	yes	complemented
27	#14582710	C₂²	1	4	yes	complemented
28	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
29	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
30	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
31	C₄₃×#347	C₂²	1	4	yes	complemented
32	C₂×#10621898	—	2	1	no	—
33	C₂²×D₁₇₂	—	2	1	no	—
34	C₂²×C₄×D₄₃	—	4	1	no	—
35	#13063347	—	2	1	no	—
36	#13063347	—	2	1	no	—
37	#13063347	C₂×C₄	1	2	yes	complemented
38	#13063347	C₂³	1	2	yes	—
39	C₂×Dic₁₇₂	C₂×C₄	1	1	yes	characteristic, complemented
40	C₂×#10621873	—	2	1	no	—
41	C₂×D₃₄₄	—	2	1	no	—
42	C₂×D₃₄₄	—	2	1	no	—
43	C₂×D₃₄₄	—	2	1	no	—
44	C₂×D₃₄₄	C₂×C₄	1	2	yes	—
45	C₂×D₃₄₄	C₂×C₄	1	2	yes	—
46	C₂×D₃₄₄	C₂×C₄	1	1	yes	characteristic, complemented
47	C₂×D₃₄₄	C₂³	1	2	yes	—
48	#13063331	—	2	4	no	—
49	#13063331	—	4	2	no	—
50	C₂×#10621877	—	2	1	no	—
51	C₂×#10621872	—	4	1	no	—
52	C₂×C₈×D₄₃	—	4	1	no	—
53	C₄×D₁₇₂	—	2	4	no	—
54	C₄×D₁₇₂	—	4	2	no	—
55	C₂×C₄⋊Dic₄₃	—	2	1	no	—
56	C₂×(C₂×D₄₃)⋊C₄	—	4	1	no	—
57	#13063270	C₂×C₄	1	8	yes	complemented
58	D₆₈₈	C₂×C₄	1	8	yes	complemented
59	#13063261	—	2	1	no	—
60	#13063261	C₂³	1	2	yes	—
61	#13063257	—	2	1	no	—
62	#13063257	C₂³	1	2	yes	—
63	#13063253	—	2	4	no	—
64	#13063247	—	2	4	no	—
65	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
66	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
67	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
68	M₃₂×C₄₃	—	2	1	no	—
69	M₃₂×C₄₃	C₂×C₄	1	2	yes	complemented
70	M₃₂×C₄₃	C₂³	1	2	yes	—
71	M₃₂×C₄₃	C₂³	1	2	yes	—
72	C₂×C₁₆×C₄₃	—	2	1	no	—
73	C₂×C₁₆×C₄₃	C₂×C₄	1	2	yes	complemented
74	#97×C₄₃	D₄	1	2	yes	—
75	#97×C₄₃	C₂³	1	2	yes	—
76	C₂³×D₄₃	—	4	1	no	—
77	C₂²×C₄×C₄₃	—	2	1	no	—
78	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
79	C₂×C₂²⋊D₄₃	—	4	1	no	—
80	C₂²×Dic₄₃	—	4	1	no	—
81	#10621898	—	2	2	no	—
82	#10621898	—	2	2	no	—
83	#10621898	—	4	1	no	—
84	#10621898	—	4	1	no	—
85	C₂×D₁₇₂	—	2	2	no	—
86	C₂×D₁₇₂	—	2	2	no	—
87	C₂×D₁₇₂	—	2	1	no	—
88	C₂×D₁₇₂	—	2	2	no	—
89	C₂×D₁₇₂	—	4	1	no	—
90	C₂×D₁₇₂	—	4	1	no	—
91	C₂×D₁₇₂	—	4	1	no	—
92	C₂×C₄×D₄₃	—	4	1	no	—
93	C₂×C₄×D₄₃	—	4	4	no	—
94	C₂×C₄×D₄₃	—	8	4	no	—
95	C₂×Dic₈₆	—	2	1	no	—
96	C₂×C₈×C₄₃	—	2	1	no	—
97	C₂×C₈×C₄₃	—	2	1	no	—
98	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
101	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
102	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
103	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
104	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
105	C₄²×C₄₃	—	2	1	no	—
106	C₄²×C₄₃	C₂×D₄	1	2	yes	—
107	(C₂×D₄₃)⋊C₄	—	4	4	no	—
108	C₄⋊Dic₄₃	—	2	2	no	—
109	C₄⋊Dic₄₃	—	4	1	no	—
110	#10621877	—	2	2	no	—
111	#10621877	—	4	1	no	—
112	C₂×C₄₃⋊C₈	—	4	1	no	—
113	Dic₁₇₂	—	2	1	no	—
114	Dic₁₇₂	C₂²×C₄	1	2	yes	complemented
115	D₃₄₄	—	2	2	no	—
116	D₃₄₄	—	2	2	no	—
117	D₃₄₄	—	2	1	no	—
118	D₃₄₄	—	2	2	no	—
119	D₃₄₄	C₂²×C₄	1	4	yes	—
120	D₃₄₄	C₂²×C₄	1	2	yes	complemented
121	#10621873	—	2	2	no	—
122	#10621873	—	2	2	no	—
123	#10621872	—	4	4	no	—
124	C₈×D₄₃	—	4	4	no	—
125	C₁₆×C₄₃	—	2	2	no	—
126	C₁₆×C₄₃	C₂²×C₄	1	4	yes	complemented
127	C₂³×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
128	C₂²×D₄₃	—	4	2	no	—
129	C₂²×D₄₃	—	4	1	no	—
130	C₂²×D₄₃	—	4	2	no	—
131	C₂²×D₄₃	—	4	2	no	—
132	C₂²×D₄₃	—	8	2	no	—
133	C₂²×D₄₃	—	8	2	no	—
134	C₂×C₄×C₄₃	—	2	2	no	—
135	C₂×C₄×C₄₃	—	4	2	no	—
136	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
137	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
138	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
139	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
140	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
141	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
142	C₂²⋊D₄₃	—	4	2	no	—
143	C₂²⋊D₄₃	—	4	2	no	—
144	C₂×Dic₄₃	—	4	1	no	—
145	C₂×Dic₄₃	—	4	2	no	—
146	C₂×Dic₄₃	—	8	2	no	—
147	D₁₇₂	—	2	2	no	—
148	D₁₇₂	—	2	4	no	—
149	D₁₇₂	—	4	2	no	—
150	D₁₇₂	—	4	2	no	—
151	D₁₇₂	—	4	2	no	—
152	D₁₇₂	—	4	1	no	—
153	C₄×D₄₃	—	4	2	no	—
154	C₄×D₄₃	—	4	2	no	—
155	C₄×D₄₃	—	8	8	no	—
156	Dic₈₆	—	2	2	no	—
157	Dic₈₆	—	4	1	no	—
158	C₈×C₄₃	—	2	2	no	—
159	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
160	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
161	C₈×C₄₃	C₂³×C₄	1	1	yes	characteristic
162	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
163	C₄₃⋊C₈	—	4	2	no	—
164	C₂×AGL(1,ℤ/16)	—	43	1	no	maximal, Sylow
165	C₂²×C₄₃	—	2	2	no	—
166	C₂²×C₄₃	#442	1	1	yes	characteristic
167	C₂²×C₄₃	#442	1	1	yes	characteristic
168	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
169	C₂×D₄₃	—	4	4	no	—
170	C₂×D₄₃	—	4	2	no	—
171	C₂×D₄₃	—	8	2	no	—
172	C₂×D₄₃	—	8	4	no	—
173	C₂×D₄₃	—	8	2	no	—
174	C₂×D₄₃	—	8	2	no	—
175	C₂×D₄₃	—	8	4	no	—
176	C₄×C₄₃	—	4	2	no	—
177	C₄×C₄₃	#442	1	1	yes	characteristic
178	C₄×C₄₃	#442	1	1	yes	characteristic
179	C₄×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
180	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
181	Dic₄₃	—	4	2	no	—
182	Dic₄₃	—	8	2	no	—
183	C₂×#509	—	43	1	no	—
184	C₂×#444	—	43	1	no	—
185	C₂×#442	—	43	1	no	—
186	AGL(1,ℤ/16)	—	43	8	no	—
187	C₂×#365	—	43	1	no	—
188	C₂×#361	—	43	1	no	—
189	C₂×#360	—	43	1	no	—
190	C₂×#347	D₄₃	1	1	yes	characteristic, complemented
191	C₂×C₄₃	—	2	1	no	—
192	C₂×C₄₃	—	2	1	no	—
193	C₂×C₄₃	AGL(1,ℤ/16)	1	2	yes	complemented
194	C₂×C₄₃	C₂×#442	1	1	yes	characteristic
195	D₄₃	—	8	2	no	—
196	D₄₃	—	8	4	no	—
197	C₂×#135	—	43	1	no	—
198	C₂²×D₈	—	43	1	no	—
199	C₂×#131	—	86	1	no	—
200	C₂×C₄×D₄	—	86	1	no	—
201	#509	—	43	4	no	—
202	#509	—	43	4	no	—
203	C₂×SD₃₂	—	43	2	no	—
204	C₂×D₁₆	—	43	2	no	—
205	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
206	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
207	#444	—	43	4	no	—
208	#444	—	86	2	no	—
209	#442	—	43	4	no	—
210	#442	—	86	2	no	—
211	C₂×#108	—	43	1	no	—
212	C₂×#106	—	43	1	no	—
213	C₂×#104	—	86	1	no	—
214	C₂×#102	—	86	1	no	—
215	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
216	#365	—	43	4	no	—
217	#361	—	43	4	no	—
218	#360	—	43	4	no	—
219	#347	C₂×D₄₃	1	4	yes	complemented
220	C₄₃	C₂×AGL(1,ℤ/16)	1	1	yes	characteristic, complemented, Sylow
221	C₂×#41	—	86	1	no	—
222	C₂²×D₄	—	86	1	no	—
223	C₂³×C₄	—	172	1	no	—
224	#135	—	43	2	no	—
225	#135	—	43	2	no	—
226	#135	—	86	1	no	—
227	#135	—	86	1	no	—
228	C₂×Q₁₆	—	43	1	no	—
229	C₂×SD₁₆	—	86	1	no	—
230	C₂×D₈	—	43	2	no	—
231	C₂×D₈	—	43	2	no	—
232	C₂×D₈	—	43	1	no	—
233	C₂×D₈	—	43	2	no	—
234	C₂×D₈	—	86	1	no	—
235	C₂×D₈	—	86	1	no	—
236	C₂×D₈	—	86	1	no	—
237	#131	—	86	4	no	—
238	#131	—	172	2	no	—
239	C₂×M₁₆	—	86	1	no	—
240	C₂×M₁₆	—	172	1	no	—
241	C₂²×C₈	—	172	1	no	—
242	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
243	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
244	C₄×D₄	—	86	4	no	—
245	C₄×D₄	—	172	2	no	—
246	C₂×C₄⋊C₄	—	86	1	no	—
247	C₂×C₂²⋊C₄	—	172	1	no	—
248	C₂×C₄²	D₁₇₂	1	1	yes	characteristic
249	SD₃₂	—	43	8	no	—
250	D₁₆	—	43	8	no	—
251	M₃₂	—	2	1	no	—
252	M₃₂	C₄×D₄₃	1	2	yes	complemented
253	M₃₂	C₂²×D₄₃	1	2	yes	—
254	M₃₂	C₂²×D₄₃	1	2	yes	—
255	C₂×C₁₆	—	2	1	no	—
256	C₂×C₁₆	C₄×D₄₃	1	2	yes	complemented
257	#108	—	43	2	no	—
258	#108	—	86	1	no	—
259	#106	—	43	2	no	—
260	#106	—	86	1	no	—
261	#104	—	86	4	no	—
262	#102	—	86	4	no	—
263	#97	D₁₇₂	1	2	yes	—
264	#97	C₂²×D₄₃	1	2	yes	—
265	C₂⁴	—	172	1	no	—
266	#41	—	86	2	no	—
267	#41	—	86	2	no	—
268	#41	—	172	1	no	—
269	#41	—	172	1	no	—
270	C₂×Q₈	—	86	1	no	—
271	C₂×D₄	—	86	2	no	—
272	C₂×D₄	—	86	2	no	—
273	C₂×D₄	—	86	1	no	—
274	C₂×D₄	—	86	2	no	—
275	C₂×D₄	—	172	1	no	—
276	C₂×D₄	—	172	1	no	—
277	C₂×D₄	—	172	1	no	—
278	C₂×D₄	—	172	1	no	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	344	4	no	—
281	C₂²×C₄	—	172	4	no	—
282	C₂²×C₄	—	172	1	no	—
283	C₂²×C₄	—	172	1	no	—
284	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
285	Q₁₆	—	43	2	no	—
286	Q₁₆	—	86	1	no	—
287	SD₁₆	—	86	2	no	—
288	SD₁₆	—	86	2	no	—
289	D₈	—	43	2	no	—
290	D₈	—	43	4	no	—
291	D₈	—	86	2	no	—
292	D₈	—	86	2	no	—
293	D₈	—	86	1	no	—
294	D₈	—	86	2	no	—
295	M₁₆	—	86	2	no	—
296	M₁₆	—	172	4	no	—
297	M₁₆	—	172	1	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	172	4	no	—
301	C₂×C₈	—	172	1	no	—
302	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
303	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
304	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
305	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
306	C₂×C₈	#10621898	1	1	yes	characteristic
307	C₂×C₈	#10621898	1	1	yes	characteristic
308	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
309	C₄⋊C₄	—	86	2	no	—
310	C₄⋊C₄	—	172	1	no	—
311	C₂²⋊C₄	—	172	4	no	—
312	C₄²	—	2	1	no	—
313	C₄²	C₂×D₁₇₂	1	2	yes	—
314	C₁₆	—	2	2	no	—
315	C₁₆	C₂×C₄×D₄₃	1	4	yes	complemented
316	C₂³	—	344	2	no	—
317	C₂³	—	344	2	no	—
318	C₂³	—	172	2	no	—
319	C₂³	—	172	2	no	—
320	C₂³	—	172	1	no	—
321	C₂³	—	172	2	no	—
322	C₂³	#13063353	1	1	yes	characteristic
323	Q₈	—	86	2	no	—
324	Q₈	—	172	1	no	—
325	D₄	—	86	4	no	—
326	D₄	—	86	2	no	—
327	D₄	—	172	2	no	—
328	D₄	—	172	2	no	—
329	D₄	—	172	2	no	—
330	D₄	—	172	2	no	—
331	D₄	—	172	2	no	—
332	D₄	—	172	1	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	344	8	no	—
336	C₂×C₄	—	344	2	no	—
337	C₂×C₄	—	172	2	no	—
338	C₂×C₄	—	172	1	no	—
339	C₂×C₄	—	172	2	no	—
340	C₂×C₄	—	172	2	no	—
341	C₂×C₄	C₄×D₁₇₂	1	1	yes	characteristic
342	C₂×C₄	C₄×D₁₇₂	1	1	yes	characteristic
343	C₂×C₄	#13063353	1	1	yes	characteristic
344	C₂×C₄	#13063353	1	1	yes	characteristic
345	C₂×C₄	#13063353	1	1	yes	characteristic
346	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
347	C₈	—	2	2	no	—
348	C₈	—	172	2	no	—
349	C₈	C₄×D₁₇₂	1	1	yes	characteristic
350	C₈	C₄×D₁₇₂	1	1	yes	characteristic
351	C₈	C₂²×C₄×D₄₃	1	1	yes	characteristic
352	C₈	C₂×#10621898	1	1	yes	characteristic
353	C₂²	—	2	2	no	—
354	C₂²	—	344	2	no	—
355	C₂²	—	344	2	no	—
356	C₂²	—	344	4	no	—
357	C₂²	—	344	4	no	—
358	C₂²	—	344	2	no	—
359	C₂²	—	172	2	no	—
360	C₂²	—	172	4	no	—
361	C₂²	#14583012	1	1	yes	characteristic
362	C₂²	#14583012	1	1	yes	characteristic
363	C₂²	C₂×#13063353	1	1	yes	characteristic
364	C₄	—	4	2	no	—
365	C₄	—	344	2	no	—
366	C₄	—	172	2	no	—
367	C₄	#14583012	1	1	yes	characteristic
368	C₄	#14583012	1	1	yes	characteristic
369	C₄	C₂×C₄×D₁₇₂	1	1	yes	characteristic
370	C₄	C₂×#13063353	1	1	yes	characteristic
371	C₂	—	2	1	no	—
372	C₂	—	2	1	no	—
373	C₂	—	344	4	no	—
374	C₂	—	344	2	no	—
375	C₂	#19136495	1	2	yes	direct product factor
376	C₂	C₂×#14583012	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#14583012
commutator	C₈×C₄₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂×C₄₃×#347	C₂
socle	C₂²×C₄₃	#442
prime radical	C₂×#14583337	C₂
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	C₂×#347	D₄₃
hypocenter	C₄₃	C₂×AGL(1,ℤ/16)
LCS	G ▷ C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#97 ◁ C₂×#347

Complements

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

N	H ≅ G/N	type
2. C₂×#14583022	C₂	semidirect
3. C₂×#14583012	C₂	semidirect
4. #19136495	C₂	direct (N × H)
5. C₂×#14582722	C₂	semidirect
6. C₂×#14582713	C₂	semidirect
7. C₂×#14582710	C₂	semidirect
8. C₂×C₄₃×#347	C₂	semidirect
13. #14583337	C₄	semidirect
15. C₂×#13063270	C₄	semidirect
16. C₂×D₆₈₈	C₄	semidirect
18. #14583022	C₂²	semidirect
20. #14583012	C₂²	semidirect
25. #14582722	C₂²	semidirect
26. #14582713	C₂²	semidirect
27. #14582710	C₂²	semidirect
31. C₄₃×#347	C₂²	semidirect
37. #13063347	C₂×C₄	semidirect
39. C₂×Dic₁₇₂	C₂×C₄	semidirect
46. C₂×D₃₄₄	C₂×C₄	semidirect
57. #13063270	C₂×C₄	semidirect
58. D₆₈₈	C₂×C₄	semidirect
69. M₃₂×C₄₃	C₂×C₄	semidirect
73. C₂×C₁₆×C₄₃	C₂×C₄	semidirect
114. Dic₁₇₂	C₂²×C₄	semidirect
120. D₃₄₄	C₂²×C₄	semidirect
126. C₁₆×C₄₃	C₂²×C₄	semidirect
190. C₂×#347	D₄₃	semidirect
193. C₂×C₄₃	AGL(1,ℤ/16)	semidirect
219. #347	C₂×D₄₃	semidirect
220. C₄₃	C₂×AGL(1,ℤ/16)	semidirect
252. M₃₂	C₄×D₄₃	semidirect
256. C₂×C₁₆	C₄×D₄₃	semidirect
315. C₁₆	C₂×C₄×D₄₃	semidirect
375. C₂	#19136495	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#14583337	2
C₂×#14583022	2
C₂×#14583012	2
#19136495	2
C₂×#14582722	2
C₂×#14582713	2
C₂×#14582710	2
C₂×C₄₃×#347	2
C₂×AGL(1,ℤ/16)	43

Subgroups — C2×#19136495 #25250040

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19136495 #25250040