Subgroups — #464×D₄₃ #19144035

Order 5504.

500 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×SD₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#124×D₄₃	C₂	1	1	yes	maximal, characteristic
4	C₄×Q₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583124	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583123	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583122	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583121	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583120	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583119	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583118	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄⋊C₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#103×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₄₃	C₂	1	1	yes	maximal, characteristic
15	C₄₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₄₃	C₂²	1	1	yes	characteristic
17	C₂×Q₈×D₄₃	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₄₃	C₂²	1	1	yes	characteristic
19	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
20	C₂×#10621885	C₂²	1	1	yes	characteristic, complemented
21	C₂×#10621885	C₂²	1	1	yes	characteristic, complemented
22	Q₁₆×D₄₃	—	2	4	no	—
23	C₂×#10621873	C₂²	1	1	yes	characteristic
24	C₂×#10621883	C₂²	1	1	yes	characteristic
25	C₂×#10621884	C₂²	1	1	yes	characteristic
26	SD₁₆×D₄₃	—	2	4	no	—
27	C₂×C₈×D₄₃	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₄₃	C₂²	1	1	yes	characteristic
29	#13063314	C₂²	1	1	yes	characteristic
30	#13063313	C₂²	1	1	yes	characteristic
31	#13063312	C₂²	1	1	yes	characteristic
32	#13063311	—	2	1	no	—
33	#13063311	—	2	1	no	—
34	Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
35	C₄×Dic₈₆	—	2	1	no	—
36	C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
37	#13063290	—	2	1	no	—
38	#13063290	C₂²	1	1	yes	characteristic, complemented
39	C₄⋊C₄×D₄₃	—	2	1	no	—
40	C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
41	C₂²⋊C₄×D₄₃	—	2	1	no	—
42	C₂²⋊C₄×D₄₃	—	2	1	no	—
43	C₄²×D₄₃	—	2	1	no	—
44	C₄²×D₄₃	C₂²	1	1	yes	characteristic
45	C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
46	Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
47	Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	#13063250	C₂²	1	1	yes	characteristic, complemented
49	#13063249	C₂²	1	1	yes	characteristic, complemented
50	#13063248	C₂²	1	1	yes	characteristic, complemented
51	#13063247	C₂²	1	1	yes	characteristic
52	#13063246	C₂²	1	1	yes	characteristic
53	#13063245	C₂²	1	1	yes	characteristic
54	C₂×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
56	#124×C₄₃	C₂²	1	1	yes	characteristic
57	C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
59	#103×C₄₃	C₂²	1	1	yes	characteristic, complemented
60	#102×C₄₃	C₂²	1	1	yes	characteristic
61	C₂³×D₄₃	—	2	1	no	—
62	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
63	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₄₃	—	2	1	no	—
66	Q₈×D₄₃	—	2	2	no	—
67	Q₈×D₄₃	—	2	2	no	—
68	Q₈×D₄₃	—	2	2	no	—
69	Q₈×D₄₃	D₄	1	4	yes	—
70	D₄×D₄₃	—	2	2	no	—
71	D₄×D₄₃	—	2	2	no	—
72	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
73	C₂×C₄×D₄₃	—	2	1	no	—
74	C₂×C₄×D₄₃	—	2	1	no	—
75	C₂×C₄×D₄₃	—	2	1	no	—
76	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
77	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
78	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
79	C₂×Dic₈₆	—	2	1	no	—
80	C₂×Dic₈₆	—	2	1	no	—
81	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
82	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
83	Q₁₆×C₄₃	—	2	2	no	—
84	SD₁₆×C₄₃	—	2	2	no	—
85	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₄₃	—	2	1	no	—
88	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
89	C₂²⋊C₄×C₄₃	—	2	1	no	—
90	C₂²⋊C₄×C₄₃	—	2	1	no	—
91	C₄²×C₄₃	—	2	1	no	—
92	C₄²×C₄₃	C₂³	1	1	yes	characteristic
93	C₂²⋊Dic₄₃	—	2	1	no	—
94	C₂²⋊Dic₄₃	—	2	1	no	—
95	#10621885	—	2	2	no	—
96	#10621885	—	2	2	no	—
97	#10621884	—	2	2	no	—
98	#10621883	—	2	2	no	—
99	(C₂×D₄₃)⋊C₄	—	2	1	no	—
100	(C₂×D₄₃)⋊C₄	—	2	1	no	—
101	(C₂×D₄₃)⋊C₄	—	2	1	no	—
102	(C₂×D₄₃)⋊C₄	—	2	1	no	—
103	C₄⋊Dic₄₃	—	2	1	no	—
104	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
105	Dic₄₃⋊C₄	—	2	1	no	—
106	Dic₄₃⋊C₄	—	2	1	no	—
107	Dic₄₃⋊C₄	—	2	1	no	—
108	C₄×Dic₄₃	—	2	1	no	—
109	C₄×Dic₄₃	—	2	1	no	—
110	C₄×Dic₄₃	—	2	1	no	—
111	C₄×Dic₄₃	D₄	1	1	yes	characteristic
112	C₄×Dic₄₃	D₄	1	1	yes	characteristic
113	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
114	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
115	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
116	Dic₁₇₂	—	2	2	no	—
117	#10621873	—	2	2	no	—
118	C₈×D₄₃	—	2	2	no	—
119	C₈×D₄₃	—	2	2	no	—
120	C₂³×C₄₃	—	2	1	no	—
121	C₂²×D₄₃	—	2	1	no	—
122	C₂²×D₄₃	—	4	2	no	—
123	C₂²×D₄₃	—	4	2	no	—
124	C₂²×D₄₃	—	4	2	no	—
125	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
126	Q₈×C₄₃	—	2	1	no	—
127	Q₈×C₄₃	—	2	1	no	—
128	Q₈×C₄₃	—	2	1	no	—
129	Q₈×C₄₃	C₂×D₄	1	2	yes	—
130	D₄×C₄₃	—	2	1	no	—
131	D₄×C₄₃	—	2	1	no	—
132	C₂×C₄×C₄₃	—	2	1	no	—
133	C₂×C₄×C₄₃	—	2	1	no	—
134	C₂×C₄×C₄₃	—	2	1	no	—
135	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
138	C₂²⋊D₄₃	—	4	2	no	—
139	C₂×Dic₄₃	—	2	1	no	—
140	C₂×Dic₄₃	—	2	1	no	—
141	C₂×Dic₄₃	—	2	1	no	—
142	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
143	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
144	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
145	D₁₇₂	—	2	1	no	—
146	D₁₇₂	—	2	1	no	—
147	C₄×D₄₃	—	2	4	no	—
148	C₄×D₄₃	—	2	2	no	—
149	C₄×D₄₃	—	2	2	no	—
150	C₄×D₄₃	—	4	2	no	—
151	C₄×D₄₃	—	4	2	no	—
152	C₄×D₄₃	C₂×D₄	1	2	yes	—
153	C₄×D₄₃	#41	1	2	yes	—
154	Dic₈₆	—	2	1	no	—
155	Dic₈₆	—	2	4	no	—
156	Dic₈₆	—	2	1	no	—
157	Dic₈₆	—	2	1	no	—
158	Dic₈₆	—	4	2	no	—
159	Dic₈₆	C₂×D₄	1	2	yes	—
160	C₈×C₄₃	—	2	1	no	—
161	C₈×C₄₃	—	2	1	no	—
162	C₄₃⋊C₈	—	2	1	no	—
163	C₄₃⋊C₈	—	2	1	no	—
164	C₂²×C₄₃	—	4	1	no	—
165	C₂²×C₄₃	—	4	1	no	—
166	C₂²×C₄₃	—	4	1	no	—
167	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
168	C₂×D₄₃	—	4	1	no	—
169	C₂×D₄₃	—	4	1	no	—
170	C₂×D₄₃	—	4	1	no	—
171	C₂×D₄₃	—	8	4	no	—
172	C₂×D₄₃	#121	1	2	yes	—
173	C₂×D₄₃	#135	1	2	yes	—
174	C₂×D₄₃	#137	1	2	yes	—
175	C₄×C₄₃	—	2	2	no	—
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	4	1	no	—
179	C₄×C₄₃	—	4	1	no	—
180	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
181	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
182	Dic₄₃	—	2	2	no	—
183	Dic₄₃	—	2	1	no	—
184	Dic₄₃	—	2	1	no	—
185	Dic₄₃	—	4	1	no	—
186	Dic₄₃	—	4	1	no	—
187	Dic₄₃	#121	1	2	yes	—
188	C₂×#464	—	43	1	no	maximal, Sylow
189	C₂×C₄₃	—	8	1	no	—
190	C₂×C₄₃	C₂×#121	1	1	yes	characteristic
191	C₂×C₄₃	C₂×#135	1	1	yes	characteristic
192	C₂×C₄₃	C₂×#137	1	1	yes	characteristic
193	D₄₃	—	8	1	no	—
194	D₄₃	#464	1	4	yes	direct product factor
195	C₂²×Q₁₆	—	43	1	no	—
196	C₂²×SD₁₆	—	43	1	no	—
197	C₂×#124	—	43	1	no	—
198	C₂×C₄×Q₈	—	43	1	no	—
199	#464	—	43	1	no	—
200	#464	—	43	1	no	—
201	#464	—	43	1	no	—
202	#464	—	43	1	no	—
203	#464	—	43	1	no	—
204	#464	—	43	1	no	—
205	#464	—	43	1	no	—
206	#464	D₄₃	1	1	yes	characteristic, direct product factor
207	C₂×C₄⋊C₈	—	43	1	no	—
208	C₂×#103	—	43	1	no	—
209	C₂×#102	—	43	1	no	—
210	C₄₃	C₂×#464	1	1	yes	characteristic, complemented, Sylow
211	C₂²×Q₈	—	43	1	no	—
212	C₂²×Q₈	—	43	1	no	—
213	C₂²×D₄	—	43	1	no	—
214	C₂×Q₁₆	—	43	1	no	—
215	C₂×Q₁₆	—	43	1	no	—
216	C₂×Q₁₆	—	43	1	no	—
217	C₂×Q₁₆	—	86	4	no	—
218	C₂×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
219	C₂×SD₁₆	—	43	1	no	—
220	C₂×SD₁₆	—	43	1	no	—
221	C₂×SD₁₆	—	43	1	no	—
222	C₂×SD₁₆	—	86	4	no	—
223	C₂×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
224	C₂²×C₈	—	43	1	no	—
225	C₂²×C₈	—	43	1	no	—
226	#124	—	43	1	no	—
227	#124	—	43	1	no	—
228	#124	—	43	1	no	—
229	#124	—	86	1	no	—
230	#124	—	86	1	no	—
231	#124	C₂×D₄₃	1	1	yes	characteristic
232	C₄×Q₈	—	43	1	no	—
233	C₄×Q₈	—	43	1	no	—
234	C₄×Q₈	—	43	1	no	—
235	C₄×Q₈	—	86	1	no	—
236	C₄×Q₈	—	86	1	no	—
237	C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
238	C₂×C₄⋊C₄	—	43	1	no	—
239	C₂×C₄⋊C₄	—	86	1	no	—
240	C₂×C₂²⋊C₄	—	86	1	no	—
241	C₂×C₂²⋊C₄	—	86	1	no	—
242	C₂×C₄²	—	43	1	no	—
243	C₂×C₄²	—	86	1	no	—
244	C₄⋊C₈	—	43	1	no	—
245	C₄⋊C₈	—	43	1	no	—
246	C₄⋊C₈	—	43	1	no	—
247	C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
248	#103	—	43	1	no	—
249	#103	—	43	1	no	—
250	#103	—	43	1	no	—
251	#103	C₂×D₄₃	1	1	yes	characteristic, complemented
252	#102	—	43	1	no	—
253	#102	—	43	1	no	—
254	#102	—	43	1	no	—
255	#102	C₂×D₄₃	1	1	yes	characteristic
256	C₂⁴	—	86	1	no	—
257	C₂×Q₈	—	43	4	no	—
258	C₂×Q₈	—	43	1	no	—
259	C₂×Q₈	—	43	1	no	—
260	C₂×Q₈	—	86	1	no	—
261	C₂×Q₈	—	86	1	no	—
262	C₂×Q₈	—	86	2	no	—
263	C₂×Q₈	—	86	2	no	—
264	C₂×Q₈	—	86	2	no	—
265	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
266	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
267	C₂×D₄	—	43	1	no	—
268	C₂×D₄	—	86	2	no	—
269	C₂×D₄	—	86	2	no	—
270	C₂×D₄	—	86	1	no	—
271	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
272	C₂²×C₄	—	43	1	no	—
273	C₂²×C₄	—	43	1	no	—
274	C₂²×C₄	—	43	1	no	—
275	C₂²×C₄	—	86	1	no	—
276	C₂²×C₄	—	86	1	no	—
277	C₂²×C₄	—	86	1	no	—
278	Q₁₆	—	2	2	no	—
279	Q₁₆	—	86	2	no	—
280	Q₁₆	—	86	2	no	—
281	Q₁₆	—	86	2	no	—
282	SD₁₆	—	2	2	no	—
283	SD₁₆	—	86	2	no	—
284	SD₁₆	—	86	2	no	—
285	SD₁₆	—	86	2	no	—
286	C₂×C₈	—	43	1	no	—
287	C₂×C₈	—	43	1	no	—
288	C₂×C₈	—	86	2	no	—
289	C₂×C₈	—	86	2	no	—
290	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
291	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
292	C₄⋊C₄	—	2	1	no	—
293	C₄⋊C₄	—	43	1	no	—
294	C₄⋊C₄	—	86	1	no	—
295	C₄⋊C₄	—	86	1	no	—
296	C₄⋊C₄	—	86	1	no	—
297	C₄⋊C₄	—	86	1	no	—
298	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
299	C₂²⋊C₄	—	2	1	no	—
300	C₂²⋊C₄	—	2	1	no	—
301	C₂²⋊C₄	—	86	1	no	—
302	C₂²⋊C₄	—	86	1	no	—
303	C₂²⋊C₄	—	86	1	no	—
304	C₂²⋊C₄	—	86	1	no	—
305	C₂²⋊C₄	—	86	1	no	—
306	C₂²⋊C₄	—	86	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	43	1	no	—
309	C₄²	—	43	1	no	—
310	C₄²	—	43	1	no	—
311	C₄²	—	86	1	no	—
312	C₄²	—	86	1	no	—
313	C₄²	—	86	1	no	—
314	C₄²	C₂²×D₄₃	1	1	yes	characteristic
315	C₂³	—	2	1	no	—
316	C₂³	—	43	1	no	—
317	C₂³	—	86	1	no	—
318	C₂³	—	172	2	no	—
319	C₂³	—	172	2	no	—
320	C₂³	—	172	2	no	—
321	Q₈	—	2	1	no	—
322	Q₈	—	2	1	no	—
323	Q₈	—	2	1	no	—
324	Q₈	—	43	2	no	—
325	Q₈	—	86	4	no	—
326	Q₈	—	86	1	no	—
327	Q₈	—	86	1	no	—
328	Q₈	—	86	1	no	—
329	Q₈	—	172	2	no	—
330	Q₈	D₄×D₄₃	1	2	yes	—
331	D₄	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	86	1	no	—
334	D₄	—	86	1	no	—
335	D₄	—	172	2	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	43	1	no	—
340	C₂×C₄	—	43	2	no	—
341	C₂×C₄	—	43	2	no	—
342	C₂×C₄	—	43	1	no	—
343	C₂×C₄	—	43	1	no	—
344	C₂×C₄	—	86	2	no	—
345	C₂×C₄	—	86	2	no	—
346	C₂×C₄	—	86	4	no	—
347	C₂×C₄	—	86	1	no	—
348	C₂×C₄	—	86	1	no	—
349	C₂×C₄	—	86	1	no	—
350	C₂×C₄	—	172	2	no	—
351	C₂×C₄	—	172	2	no	—
352	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
353	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
354	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
355	C₈	—	2	1	no	—
356	C₈	—	2	1	no	—
357	C₈	—	86	1	no	—
358	C₈	—	86	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	43	2	no	—
363	C₂²	—	43	2	no	—
364	C₂²	—	43	2	no	—
365	C₂²	—	344	4	no	—
366	C₂²	—	172	1	no	—
367	C₂²	—	172	1	no	—
368	C₂²	—	172	1	no	—
369	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
370	C₄	—	2	2	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	43	2	no	—
376	C₄	—	86	2	no	—
377	C₄	—	86	1	no	—
378	C₄	—	86	1	no	—
379	C₄	—	172	1	no	—
380	C₄	—	172	1	no	—
381	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
382	C₄	#41×D₄₃	1	1	yes	characteristic
383	C₂	—	8	1	no	—
384	C₂	—	43	4	no	—
385	C₂	—	344	1	no	—
386	C₂	#121×D₄₃	1	1	yes	characteristic
387	C₂	#135×D₄₃	1	1	yes	characteristic
388	C₂	#137×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#464	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#464	D₄₃
hypocenter	C₄₃	C₂×#464
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #464

Complements

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

N	H ≅ G/N	type
1. C₂×Q₁₆×D₄₃	C₂	semidirect
4. C₄×Q₈×D₄₃	C₂	semidirect
5. #14583124	C₂	semidirect
6. #14583123	C₂	semidirect
7. #14583122	C₂	semidirect
8. #14583121	C₂	semidirect
9. #14583120	C₂	semidirect
10. #14583119	C₂	semidirect
11. #14583118	C₂	semidirect
12. C₄⋊C₈×D₄₃	C₂	semidirect
13. #103×D₄₃	C₂	semidirect
15. C₄₃×#464	C₂	semidirect
19. C₂×Dic₁₇₂	C₂²	semidirect
20. C₂×#10621885	C₂²	semidirect
21. C₂×#10621885	C₂²	semidirect
34. Q₈×Dic₄₃	C₂²	semidirect
36. C₄×Dic₈₆	C₂²	semidirect
38. #13063290	C₂²	semidirect
45. C₄⋊(C₄₃⋊C₈)	C₂²	semidirect
46. Dic₄₃⋊C₈	C₂²	semidirect
47. Dic₄₃⋊C₈	C₂²	semidirect
48. #13063250	C₂²	semidirect
49. #13063249	C₂²	semidirect
50. #13063248	C₂²	semidirect
54. C₂×Q₁₆×C₄₃	C₂²	semidirect
57. C₄×Q₈×C₄₃	C₂²	semidirect
58. C₄⋊C₈×C₄₃	C₂²	semidirect
59. #103×C₄₃	C₂²	semidirect
194. D₄₃	#464	direct (N × H)
206. #464	D₄₃	direct (N × H)
210. C₄₃	C₂×#464	semidirect
218. C₂×Q₁₆	C₂×D₄₃	semidirect
237. C₄×Q₈	C₂×D₄₃	semidirect
247. C₄⋊C₈	C₂×D₄₃	semidirect
251. #103	C₂×D₄₃	semidirect

Subgroups — #464×D43 #19144035

Conjugacy classes of subgroups

Complements

Subgroups — #464×D₄₃ #19144035