Subgroups — #19144199

Order 5504.

500 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063346	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×M₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583412	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583409	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583156	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583155	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583151	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583150	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583146	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583145	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583142	C₂	1	1	yes	maximal, characteristic, complemented
12	#14582936	C₂	1	1	yes	maximal, characteristic, complemented
13	#14582894	C₂	1	1	yes	maximal, characteristic, complemented
14	#14582892	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621902	C₂²	1	1	yes	characteristic
17	C₂×#10621900	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₄₃	C₂²	1	1	yes	characteristic
19	#13063346	—	2	4	no	—
20	C₂×#10621885	C₂²	1	1	yes	characteristic, complemented
21	C₂×#10621873	C₂²	1	1	yes	characteristic, complemented
22	C₂×#10621882	C₂²	1	1	yes	characteristic, complemented
23	C₂×#10621877	C₂²	1	1	yes	characteristic
24	C₂×#10621872	C₂²	1	1	yes	characteristic
25	C₂×#10621872	C₂²	1	1	yes	characteristic
26	M₁₆×D₄₃	—	2	4	no	—
27	C₂×C₈×D₄₃	C₂²	1	1	yes	characteristic
28	C₂×C₈×D₄₃	C₂²	1	1	yes	characteristic
29	#13063310	—	2	1	no	—
30	#13063307	—	2	1	no	—
31	#13063305	C₂²	1	1	yes	characteristic
32	#13063304	C₂²	1	1	yes	characteristic
33	#13063301	C₂²	1	1	yes	characteristic
34	#13063300	C₂²	1	1	yes	characteristic
35	#13063299	C₂²	1	1	yes	characteristic
36	#13063296	C₂²	1	1	yes	characteristic
37	#13063295	—	2	1	no	—
38	#13063293	—	2	1	no	—
39	D₄×Dic₄₃	—	2	1	no	—
40	#13063287	—	2	1	no	—
41	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
42	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
43	#13063283	C₂²	1	1	yes	characteristic
44	#13063283	C₂²	1	1	yes	characteristic
45	#13063259	C₂²	1	1	yes	characteristic, complemented
46	#13063256	C₂²	1	1	yes	characteristic, complemented
47	#13063256	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, complemented
52	#13063246	C₂²	1	1	yes	characteristic, complemented
53	#13063245	C₂²	1	1	yes	characteristic, complemented
54	C₂×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
56	C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
57	#121×C₄₃	C₂²	1	1	yes	characteristic
58	#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
59	#103×C₄₃	C₂²	1	1	yes	characteristic, complemented
60	#102×C₄₃	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₄₃	D₄	1	1	yes	characteristic
62	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
63	C₂×D₄×C₄₃	—	2	1	no	—
64	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
66	C₂×C₂²⋊D₄₃	—	2	1	no	—
67	C₂×C₂²⋊D₄₃	—	2	1	no	—
68	C₂×C₂²⋊D₄₃	—	2	1	no	—
69	C₂²×Dic₄₃	—	2	1	no	—
70	C₂²×Dic₄₃	D₄	1	1	yes	characteristic
71	#10621902	—	2	2	no	—
72	#10621902	—	2	2	no	—
73	#10621900	—	2	2	no	—
74	#10621900	—	2	2	no	—
75	C₂×D₁₇₂	—	2	1	no	—
76	C₂×D₁₇₂	—	2	1	no	—
77	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
78	C₂×C₄×D₄₃	—	2	2	no	—
79	C₂×C₄×D₄₃	—	2	2	no	—
80	C₂×C₄×D₄₃	—	2	1	no	—
81	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
82	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
83	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
84	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
85	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
86	SD₁₆×C₄₃	—	2	2	no	—
87	M₁₆×C₄₃	—	2	2	no	—
88	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₄₃	—	2	1	no	—
91	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
92	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
93	C₂²⋊C₄×C₄₃	—	2	1	no	—
94	C₂²⋊C₄×C₄₃	—	2	1	no	—
95	C₂²⋊Dic₄₃	—	2	1	no	—
96	C₂²⋊Dic₄₃	—	2	1	no	—
97	#10621885	—	2	2	no	—
98	#10621882	—	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	(C₂×D₄₃)⋊C₄	—	2	1	no	—
104	(C₂×D₄₃)⋊C₄	—	2	1	no	—
105	C₄⋊Dic₄₃	—	2	1	no	—
106	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
107	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
108	Dic₄₃⋊C₄	—	2	1	no	—
109	Dic₄₃⋊C₄	—	2	1	no	—
110	C₄×Dic₄₃	—	2	1	no	—
111	C₄×Dic₄₃	—	2	1	no	—
112	#10621877	—	2	2	no	—
113	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
114	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
115	#10621873	—	2	2	no	—
116	#10621872	—	2	2	no	—
117	#10621872	—	2	2	no	—
118	C₈×D₄₃	—	2	2	no	—
119	C₈×D₄₃	D₄	1	4	yes	complemented
120	C₂³×C₄₃	—	2	1	no	—
121	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₂²×D₄₃	—	2	2	no	—
123	C₂²×D₄₃	—	2	1	no	—
124	C₂²×D₄₃	—	4	1	no	—
125	C₂²×D₄₃	—	4	1	no	—
126	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
127	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
128	Q₈×C₄₃	—	2	1	no	—
129	Q₈×C₄₃	—	2	1	no	—
130	D₄×C₄₃	—	2	1	no	—
131	D₄×C₄₃	—	2	1	no	—
132	D₄×C₄₃	—	4	2	no	—
133	C₂×C₄×C₄₃	—	2	1	no	—
134	C₂×C₄×C₄₃	—	2	1	no	—
135	C₂×C₄×C₄₃	—	2	1	no	—
136	C₂×C₄×C₄₃	—	2	1	no	—
137	C₂×C₄×C₄₃	—	2	1	no	—
138	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₄₃	—	4	2	no	—
141	C₂²⋊D₄₃	—	4	2	no	—
142	C₂²⋊D₄₃	—	4	2	no	—
143	C₂×Dic₄₃	—	2	2	no	—
144	C₂×Dic₄₃	—	2	1	no	—
145	C₂×Dic₄₃	—	2	1	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	4	2	no	—
148	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
149	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
150	D₁₇₂	—	2	1	no	—
151	D₁₇₂	—	2	1	no	—
152	D₁₇₂	—	4	2	no	—
153	D₁₇₂	—	4	2	no	—
154	C₄×D₄₃	—	2	2	no	—
155	C₄×D₄₃	—	2	1	no	—
156	C₄×D₄₃	—	2	1	no	—
157	C₄×D₄₃	—	2	2	no	—
158	C₄×D₄₃	—	4	2	no	—
159	C₄×D₄₃	C₂×D₄	1	2	yes	—
160	C₄×D₄₃	#41	1	2	yes	—
161	Dic₈₆	—	2	1	no	—
162	Dic₈₆	—	2	1	no	—
163	C₈×C₄₃	—	2	1	no	—
164	C₈×C₄₃	C₂×D₄	1	2	yes	—
165	C₄₃⋊C₈	—	2	1	no	—
166	C₄₃⋊C₈	C₂×D₄	1	2	yes	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	—	2	1	no	—
169	C₂²×C₄₃	—	2	1	no	—
170	C₂²×C₄₃	—	4	1	no	—
171	C₂²×C₄₃	—	4	1	no	—
172	C₂²×C₄₃	—	4	1	no	—
173	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
174	C₂×D₄₃	—	2	1	no	—
175	C₂×D₄₃	—	2	1	no	—
176	C₂×D₄₃	—	2	1	no	—
177	C₂×D₄₃	—	2	1	no	—
178	C₂×D₄₃	—	2	1	no	—
179	C₂×D₄₃	—	4	4	no	—
180	C₂×D₄₃	—	4	1	no	—
181	C₂×D₄₃	—	4	1	no	—
182	C₂×D₄₃	—	4	1	no	—
183	C₂×D₄₃	#121	1	2	yes	—
184	C₄×C₄₃	—	2	1	no	—
185	C₄×C₄₃	—	4	1	no	—
186	C₄×C₄₃	—	4	1	no	—
187	C₄×C₄₃	—	4	1	no	—
188	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
189	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
190	Dic₄₃	—	2	1	no	—
191	Dic₄₃	—	4	1	no	—
192	Dic₄₃	—	4	1	no	—
193	Dic₄₃	—	4	1	no	—
194	Dic₄₃	#121	1	2	yes	—
195	#3054	—	43	1	no	maximal, Sylow
196	C₂×C₄₃	—	4	1	no	—
197	C₂×C₄₃	—	8	1	no	—
198	C₂×C₄₃	C₂×#121	1	1	yes	characteristic
199	C₂×C₄₃	#575	1	1	yes	characteristic
200	C₂×C₄₃	#575	1	1	yes	characteristic
201	D₄₃	—	2	2	no	—
202	D₄₃	—	4	1	no	—
203	D₄₃	—	8	1	no	—
204	C₂×#135	—	43	1	no	—
205	C₂²×M₁₆	—	43	1	no	—
206	#525	—	43	1	no	—
207	#525	—	43	1	no	—
208	#470	—	43	1	no	—
209	#470	—	43	1	no	—
210	#469	—	43	1	no	—
211	#469	—	43	1	no	—
212	#468	—	43	1	no	—
213	#468	—	43	1	no	—
214	#468	—	43	1	no	—
215	#468	D₄₃	1	1	yes	characteristic, complemented
216	#427	—	43	1	no	—
217	#416	—	43	1	no	—
218	#416	—	43	1	no	—
219	C₄₃	#3054	1	1	yes	characteristic, complemented, Sylow
220	C₂×#41	—	43	1	no	—
221	C₂×#41	—	43	1	no	—
222	C₂³×C₄	—	43	1	no	—
223	#135	—	86	4	no	—
224	C₂×Q₁₆	—	43	1	no	—
225	C₂×SD₁₆	—	43	1	no	—
226	C₂×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
227	C₂×D₈	—	43	1	no	—
228	C₂×M₁₆	—	43	1	no	—
229	C₂×M₁₆	—	43	1	no	—
230	C₂×M₁₆	—	43	1	no	—
231	C₂×M₁₆	—	86	4	no	—
232	C₂×M₁₆	C₂×D₄₃	1	1	yes	characteristic
233	C₂²×C₈	—	43	1	no	—
234	C₂²×C₈	—	43	1	no	—
235	#123	—	86	1	no	—
236	#123	—	86	1	no	—
237	C₂²⋊Q₈	—	43	1	no	—
238	C₂²⋊Q₈	—	43	1	no	—
239	C₂²⋊Q₈	—	43	1	no	—
240	C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
241	#121	—	43	1	no	—
242	#121	—	43	1	no	—
243	#121	—	43	1	no	—
244	#121	C₂×D₄₃	1	1	yes	characteristic
245	#120	—	86	1	no	—
246	#120	—	86	1	no	—
247	C₄×D₄	—	86	1	no	—
248	C₄×D₄	—	86	1	no	—
249	C₄×D₄	—	86	1	no	—
250	C₄×D₄	—	86	1	no	—
251	#117	—	43	1	no	—
252	#117	—	43	1	no	—
253	#107	—	43	1	no	—
254	#107	C₂×D₄₃	1	1	yes	characteristic, complemented
255	#106	—	43	1	no	—
256	#106	—	43	1	no	—
257	#103	—	43	1	no	—
258	#103	—	43	1	no	—
259	#103	—	43	1	no	—
260	#103	C₂×D₄₃	1	1	yes	characteristic, complemented
261	#102	—	43	1	no	—
262	#102	—	43	1	no	—
263	#102	—	43	1	no	—
264	#102	C₂×D₄₃	1	1	yes	characteristic, complemented
265	C₂⁴	—	43	1	no	—
266	#41	—	86	2	no	—
267	#41	—	86	2	no	—
268	#41	—	86	2	no	—
269	#41	—	86	2	no	—
270	C₂×Q₈	—	43	1	no	—
271	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	43	1	no	—
274	C₂×D₄	—	86	1	no	—
275	C₂×D₄	—	86	1	no	—
276	C₂×D₄	—	86	1	no	—
277	C₂×D₄	—	86	1	no	—
278	C₂×D₄	—	86	1	no	—
279	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
280	C₂²×C₄	—	43	1	no	—
281	C₂²×C₄	—	43	1	no	—
282	C₂²×C₄	—	43	1	no	—
283	C₂²×C₄	—	43	1	no	—
284	C₂²×C₄	—	43	1	no	—
285	C₂²×C₄	—	86	2	no	—
286	C₂²×C₄	—	86	2	no	—
287	C₂²×C₄	—	86	1	no	—
288	C₂²×C₄	—	86	1	no	—
289	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
290	Q₁₆	—	86	2	no	—
291	SD₁₆	—	2	2	no	—
292	SD₁₆	—	86	2	no	—
293	D₈	—	86	2	no	—
294	M₁₆	—	2	2	no	—
295	M₁₆	—	86	2	no	—
296	M₁₆	—	86	2	no	—
297	M₁₆	—	86	2	no	—
298	C₂×C₈	—	43	1	no	—
299	C₂×C₈	—	43	4	no	—
300	C₂×C₈	—	43	1	no	—
301	C₂×C₈	—	86	2	no	—
302	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
303	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	43	1	no	—
306	C₄⋊C₄	—	43	1	no	—
307	C₄⋊C₄	—	86	1	no	—
308	C₄⋊C₄	—	86	1	no	—
309	C₄⋊C₄	—	86	1	no	—
310	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
311	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
312	C₂²⋊C₄	—	2	1	no	—
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	86	1	no	—
315	C₂²⋊C₄	—	86	1	no	—
316	C₂²⋊C₄	—	86	1	no	—
317	C₂²⋊C₄	—	86	1	no	—
318	C₂²⋊C₄	—	86	1	no	—
319	C₂²⋊C₄	—	86	1	no	—
320	C₂²⋊C₄	—	86	1	no	—
321	C₂²⋊C₄	—	86	1	no	—
322	C₄²	—	86	1	no	—
323	C₄²	—	86	1	no	—
324	C₂³	—	2	1	no	—
325	C₂³	—	43	1	no	—
326	C₂³	—	43	1	no	—
327	C₂³	—	86	2	no	—
328	C₂³	—	86	1	no	—
329	C₂³	—	172	1	no	—
330	C₂³	—	172	1	no	—
331	C₂³	D₄×D₄₃	1	1	yes	characteristic
332	Q₈	—	2	1	no	—
333	Q₈	—	2	1	no	—
334	Q₈	—	86	1	no	—
335	Q₈	—	86	1	no	—
336	D₄	—	2	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	4	2	no	—
339	D₄	—	86	1	no	—
340	D₄	—	86	1	no	—
341	D₄	—	172	2	no	—
342	D₄	—	172	2	no	—
343	D₄	—	172	2	no	—
344	D₄	—	172	2	no	—
345	D₄	—	172	2	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	43	1	no	—
352	C₂×C₄	—	43	2	no	—
353	C₂×C₄	—	43	2	no	—
354	C₂×C₄	—	43	1	no	—
355	C₂×C₄	—	86	2	no	—
356	C₂×C₄	—	86	2	no	—
357	C₂×C₄	—	86	2	no	—
358	C₂×C₄	—	86	1	no	—
359	C₂×C₄	—	86	1	no	—
360	C₂×C₄	—	86	1	no	—
361	C₂×C₄	—	86	1	no	—
362	C₂×C₄	—	86	1	no	—
363	C₂×C₄	—	172	2	no	—
364	C₂×C₄	—	172	2	no	—
365	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
366	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
367	C₈	—	2	1	no	—
368	C₈	—	43	2	no	—
369	C₈	—	86	1	no	—
370	C₈	D₄×D₄₃	1	2	yes	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	—	4	1	no	—
377	C₂²	—	43	2	no	—
378	C₂²	—	86	1	no	—
379	C₂²	—	86	1	no	—
380	C₂²	—	86	1	no	—
381	C₂²	—	86	1	no	—
382	C₂²	—	86	1	no	—
383	C₂²	—	172	4	no	—
384	C₂²	—	172	1	no	—
385	C₂²	—	172	1	no	—
386	C₂²	—	172	1	no	—
387	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	4	1	no	—
390	C₄	—	4	1	no	—
391	C₄	—	4	1	no	—
392	C₄	—	43	2	no	—
393	C₄	—	86	1	no	—
394	C₄	—	172	1	no	—
395	C₄	—	172	1	no	—
396	C₄	—	172	1	no	—
397	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
398	C₄	#41×D₄₃	1	1	yes	characteristic
399	C₂	—	4	1	no	—
400	C₂	—	8	1	no	—
401	C₂	—	86	2	no	—
402	C₂	—	344	1	no	—
403	C₂	—	172	1	no	—
404	C₂	#121×D₄₃	1	1	yes	characteristic
405	C₂	#14583695	1	1	yes	characteristic
406	C₂	#14583698	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#468	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#468	D₄₃
hypocenter	C₄₃	#3054
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #468

Complements

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

N	H ≅ G/N	type
1. C₂×#13063346	C₂	semidirect
2. C₂×M₁₆×D₄₃	C₂	semidirect
3. #14583412	C₂	semidirect
4. #14583409	C₂	semidirect
5. #14583156	C₂	semidirect
6. #14583155	C₂	semidirect
7. #14583151	C₂	semidirect
8. #14583150	C₂	semidirect
9. #14583146	C₂	semidirect
10. #14583145	C₂	semidirect
11. #14583142	C₂	semidirect
12. #14582936	C₂	semidirect
13. #14582894	C₂	semidirect
14. #14582892	C₂	semidirect
15. C₄₃×#468	C₂	semidirect
20. C₂×#10621885	C₂²	semidirect
21. C₂×#10621873	C₂²	semidirect
22. C₂×#10621882	C₂²	semidirect
45. #13063259	C₂²	semidirect
46. #13063256	C₂²	semidirect
47. #13063256	C₂²	semidirect
48. #13063250	C₂²	semidirect
49. #13063249	C₂²	semidirect
50. #13063248	C₂²	semidirect
51. #13063247	C₂²	semidirect
52. #13063246	C₂²	semidirect
53. #13063245	C₂²	semidirect
54. C₂×SD₁₆×C₄₃	C₂²	semidirect
58. #107×C₄₃	C₂²	semidirect
59. #103×C₄₃	C₂²	semidirect
60. #102×C₄₃	C₂²	semidirect
119. C₈×D₄₃	D₄	semidirect
215. #468	D₄₃	semidirect
219. C₄₃	#3054	semidirect
226. C₂×SD₁₆	C₂×D₄₃	semidirect
254. #107	C₂×D₄₃	semidirect
260. #103	C₂×D₄₃	semidirect
264. #102	C₂×D₄₃	semidirect