Subgroups — #19145079

Order 5504.

596 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063352	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#13063349	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#13063346	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583467	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583462	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583288	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583287	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583285	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583281	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583280	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583275	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583274	C₂	1	1	yes	maximal, characteristic, complemented
14	#14582856	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621902	C₂²	1	1	yes	characteristic
17	C₂×#10621900	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₄₃	C₂²	1	1	yes	characteristic
19	C₂×D₄×D₄₃	C₂²	1	1	yes	characteristic
20	#13063352	—	2	4	no	—
21	#13063349	—	2	4	no	—
22	#13063346	—	2	4	no	—
23	C₂×#10621885	C₂²	1	1	yes	characteristic, complemented
24	C₂×#10621873	C₂²	1	1	yes	characteristic, complemented
25	C₂×#10621873	C₂²	1	1	yes	characteristic, complemented
26	C₂×#10621883	C₂²	1	1	yes	characteristic, complemented
27	C₂×#10621884	C₂²	1	1	yes	characteristic, complemented
28	C₂×D₃₄₄	C₂²	1	1	yes	characteristic
29	C₂×D₃₄₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×#10621882	C₂²	1	1	yes	characteristic
31	C₂×#10621882	C₂²	1	1	yes	characteristic
32	C₂×#10621882	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10621882	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10621882	C₂²	1	1	yes	characteristic, complemented
35	D₈×D₄₃	—	2	4	no	—
36	C₂×#10621872	C₂²	1	1	yes	characteristic
37	C₂×C₈×D₄₃	C₂²	1	1	yes	characteristic
38	#13063322	C₂²	1	1	yes	characteristic, complemented
39	#13063321	C₂²	1	1	yes	characteristic, complemented
40	#13063321	C₂²	1	1	yes	characteristic, complemented
41	#13063314	C₂²	1	1	yes	characteristic, complemented
42	#13063313	C₂²	1	1	yes	characteristic, complemented
43	#13063312	C₂²	1	1	yes	characteristic, complemented
44	#13063298	—	2	2	no	—
45	#13063297	—	2	2	no	—
46	#13063295	—	2	2	no	—
47	#13063293	—	2	2	no	—
48	#13063282	C₂²	1	1	yes	characteristic
49	#13063235	C₂²	1	1	yes	characteristic, complemented
50	C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	C₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₈×C₄₃	C₂²	1	1	yes	characteristic
55	C₂×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
56	#127×C₄₃	C₂²	1	1	yes	characteristic, complemented
57	#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
58	#97×C₄₃	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₄₃	—	2	1	no	—
60	C₂³×D₄₃	—	2	1	no	—
61	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₄₃	—	2	2	no	—
63	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂×D₄×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	2	no	—
69	C₂×C₂²⋊D₄₃	—	2	2	no	—
70	C₂×C₂²⋊D₄₃	—	2	1	no	—
71	C₂²×Dic₄₃	—	2	1	no	—
72	#10621902	—	2	2	no	—
73	#10621902	—	2	2	no	—
74	#10621900	—	2	2	no	—
75	#10621900	—	2	2	no	—
76	D₄×D₄₃	—	2	2	no	—
77	D₄×D₄₃	—	2	2	no	—
78	D₄×D₄₃	—	2	2	no	—
79	D₄×D₄₃	—	2	2	no	—
80	C₂×D₁₇₂	—	2	2	no	—
81	C₂×D₁₇₂	—	2	1	no	—
82	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
83	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
84	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
85	C₂×C₄×D₄₃	—	2	1	no	—
86	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
87	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
88	SD₁₆×C₄₃	—	2	2	no	—
89	SD₁₆×C₄₃	—	2	2	no	—
90	D₈×C₄₃	—	2	2	no	—
91	D₈×C₄₃	—	2	2	no	—
92	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
94	C₂²⋊C₄×C₄₃	—	2	2	no	—
95	C₄²×C₄₃	C₂³	1	1	yes	characteristic
96	C₂²⋊Dic₄₃	—	2	2	no	—
97	#10621885	—	2	2	no	—
98	#10621884	—	2	2	no	—
99	#10621883	—	2	2	no	—
100	#10621882	—	2	2	no	—
101	#10621882	—	2	2	no	—
102	#10621882	—	2	2	no	—
103	#10621882	—	2	2	no	—
104	#10621882	—	2	2	no	—
105	(C₂×D₄₃)⋊C₄	—	2	2	no	—
106	(C₂×D₄₃)⋊C₄	—	2	2	no	—
107	(C₂×D₄₃)⋊C₄	D₄	1	2	yes	—
108	Dic₄₃⋊C₄	D₄	1	2	yes	—
109	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
110	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
111	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
112	D₃₄₄	—	2	2	no	—
113	D₃₄₄	—	2	2	no	—
114	#10621873	—	2	2	no	—
115	#10621873	—	2	2	no	—
116	#10621872	D₄	1	4	yes	complemented
117	C₈×D₄₃	D₄	1	4	yes	complemented
118	C₂³×C₄₃	—	2	1	no	—
119	C₂³×C₄₃	—	2	1	no	—
120	C₂³×C₄₃	—	2	1	no	—
121	C₂²×D₄₃	—	2	1	no	—
122	C₂²×D₄₃	—	2	1	no	—
123	C₂²×D₄₃	—	2	1	no	—
124	C₂²×D₄₃	—	4	2	no	—
125	C₂²×D₄₃	—	4	2	no	—
126	C₂²×D₄₃	—	8	2	no	—
127	C₂²×D₄₃	—	8	2	no	—
128	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
129	Q₈×C₄₃	—	2	1	no	—
130	Q₈×C₄₃	—	2	1	no	—
131	D₄×C₄₃	—	2	1	no	—
132	D₄×C₄₃	—	2	1	no	—
133	D₄×C₄₃	—	2	1	no	—
134	D₄×C₄₃	—	2	1	no	—
135	D₄×C₄₃	—	2	1	no	—
136	D₄×C₄₃	—	2	1	no	—
137	D₄×C₄₃	—	8	2	no	—
138	C₂×C₄×C₄₃	—	2	1	no	—
139	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
140	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₄₃	—	4	2	no	—
142	C₂²⋊D₄₃	—	4	2	no	—
143	C₂²⋊D₄₃	—	4	2	no	—
144	C₂²⋊D₄₃	—	8	2	no	—
145	C₂²⋊D₄₃	—	8	2	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	4	2	no	—
148	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
149	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
150	D₁₇₂	—	2	1	no	—
151	D₁₇₂	—	2	1	no	—
152	D₁₇₂	—	2	1	no	—
153	D₁₇₂	—	2	1	no	—
154	D₁₇₂	—	2	1	no	—
155	D₁₇₂	—	2	1	no	—
156	D₁₇₂	—	4	2	no	—
157	D₁₇₂	—	8	2	no	—
158	C₄×D₄₃	—	4	2	no	—
159	C₄×D₄₃	C₂×D₄	1	2	yes	—
160	C₄×D₄₃	C₂×D₄	1	2	yes	—
161	Dic₈₆	—	2	1	no	—
162	Dic₈₆	—	2	1	no	—
163	C₈×C₄₃	C₂×D₄	1	2	yes	—
164	C₈×C₄₃	C₂×D₄	1	2	yes	—
165	C₄₃⋊C₈	C₂×D₄	1	2	yes	—
166	C₄₃⋊C₈	C₂×D₄	1	2	yes	—
167	C₂²×C₄₃	—	4	1	no	—
168	C₂²×C₄₃	—	4	1	no	—
169	C₂²×C₄₃	—	4	1	no	—
170	C₂²×C₄₃	—	4	2	no	—
171	C₂²×C₄₃	—	4	2	no	—
172	C₂²×C₄₃	—	4	2	no	—
173	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
174	C₂×D₄₃	—	2	2	no	—
175	C₂×D₄₃	—	4	1	no	—
176	C₂×D₄₃	—	4	1	no	—
177	C₂×D₄₃	—	4	1	no	—
178	C₂×D₄₃	—	4	2	no	—
179	C₂×D₄₃	—	4	2	no	—
180	C₂×D₄₃	—	4	2	no	—
181	C₂×D₄₃	—	8	4	no	—
182	C₂×D₄₃	—	8	4	no	—
183	C₂×D₄₃	#127	1	2	yes	—
184	C₄×C₄₃	—	2	2	no	—
185	C₄×C₄₃	—	4	1	no	—
186	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
187	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
188	Dic₄₃	—	2	2	no	—
189	Dic₄₃	—	4	1	no	—
190	Dic₄₃	#127	1	2	yes	—
191	#3155	—	43	1	no	maximal, Sylow
192	C₂×C₄₃	—	8	1	no	—
193	C₂×C₄₃	—	8	1	no	—
194	C₂×C₄₃	—	8	1	no	—
195	C₂×C₄₃	C₂×#127	1	1	yes	characteristic
196	C₂×C₄₃	#576	1	2	yes	—
197	D₄₃	—	2	2	no	—
198	D₄₃	—	8	1	no	—
199	D₄₃	—	8	1	no	—
200	D₄₃	—	8	1	no	—
201	C₂×AGL(1,ℤ/8)	—	43	1	no	—
202	C₂×AGL(1,ℤ/8)	—	43	1	no	—
203	C₂×#135	—	43	1	no	—
204	C₂²×D₈	—	43	1	no	—
205	#535	—	43	1	no	—
206	#535	—	43	1	no	—
207	#496	—	43	1	no	—
208	#496	—	43	1	no	—
209	#496	—	43	1	no	—
210	#496	D₄₃	1	1	yes	characteristic, complemented
211	#495	—	43	1	no	—
212	#495	—	43	1	no	—
213	#493	—	43	1	no	—
214	#493	—	43	1	no	—
215	#405	—	43	1	no	—
216	C₄₃	#3155	1	1	yes	characteristic, complemented, Sylow
217	C₂×#41	—	43	1	no	—
218	C₂×#41	—	43	1	no	—
219	C₂²×D₄	—	43	1	no	—
220	C₂²×D₄	—	43	1	no	—
221	AGL(1,ℤ/8)	—	86	4	no	—
222	AGL(1,ℤ/8)	—	86	4	no	—
223	#135	—	86	4	no	—
224	C₂×Q₁₆	—	43	1	no	—
225	C₂×SD₁₆	—	43	1	no	—
226	C₂×SD₁₆	—	43	1	no	—
227	C₂×SD₁₆	—	43	1	no	—
228	C₂×SD₁₆	—	43	1	no	—
229	C₂×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
230	C₂×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
231	C₂×D₈	—	43	1	no	—
232	C₂×D₈	—	43	1	no	—
233	C₂×D₈	—	43	1	no	—
234	C₂×D₈	—	43	1	no	—
235	C₂×D₈	—	43	1	no	—
236	C₂×D₈	—	43	1	no	—
237	C₂×D₈	—	43	1	no	—
238	C₂×D₈	—	86	4	no	—
239	C₂×D₈	C₂×D₄₃	1	1	yes	characteristic
240	C₂×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
241	C₂×M₁₆	—	43	1	no	—
242	C₂²×C₈	—	43	1	no	—
243	#127	—	43	1	no	—
244	#127	—	43	1	no	—
245	#127	—	43	1	no	—
246	#127	C₂×D₄₃	1	1	yes	characteristic, complemented
247	#124	—	43	1	no	—
248	#124	—	43	1	no	—
249	#124	—	43	1	no	—
250	#124	C₂×D₄₃	1	1	yes	characteristic, complemented
251	#121	—	86	2	no	—
252	#121	—	86	2	no	—
253	#120	—	86	2	no	—
254	#120	—	86	2	no	—
255	#117	—	43	1	no	—
256	#97	—	43	1	no	—
257	#97	C₂×D₄₃	1	1	yes	characteristic, complemented
258	C₄×C₈	—	43	1	no	—
259	C₄×C₈	—	43	1	no	—
260	C₂⁴	—	86	1	no	—
261	C₂⁴	—	86	1	no	—
262	#41	—	86	2	no	—
263	#41	—	86	2	no	—
264	#41	—	86	2	no	—
265	#41	—	86	2	no	—
266	C₂×Q₈	—	43	1	no	—
267	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	43	1	no	—
270	C₂×D₄	—	43	1	no	—
271	C₂×D₄	—	43	1	no	—
272	C₂×D₄	—	86	1	no	—
273	C₂×D₄	—	86	2	no	—
274	C₂×D₄	—	86	2	no	—
275	C₂×D₄	—	86	2	no	—
276	C₂×D₄	—	86	2	no	—
277	C₂×D₄	—	86	2	no	—
278	C₂×D₄	—	86	2	no	—
279	C₂×D₄	—	86	1	no	—
280	C₂×D₄	—	86	1	no	—
281	C₂×D₄	—	86	1	no	—
282	C₂×D₄	—	86	2	no	—
283	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
284	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
286	C₂²×C₄	—	43	1	no	—
287	C₂²×C₄	—	86	1	no	—
288	C₂²×C₄	—	86	1	no	—
289	Q₁₆	—	86	2	no	—
290	SD₁₆	—	2	2	no	—
291	SD₁₆	—	2	2	no	—
292	SD₁₆	—	86	2	no	—
293	SD₁₆	—	86	2	no	—
294	SD₁₆	—	86	2	no	—
295	SD₁₆	—	86	2	no	—
296	D₈	—	2	2	no	—
297	D₈	—	2	2	no	—
298	D₈	—	86	2	no	—
299	D₈	—	86	2	no	—
300	D₈	—	86	2	no	—
301	D₈	—	86	2	no	—
302	D₈	—	86	2	no	—
303	D₈	—	86	2	no	—
304	D₈	—	86	2	no	—
305	M₁₆	—	43	4	no	—
306	C₂×C₈	—	43	1	no	—
307	C₂×C₈	—	43	1	no	—
308	C₂×C₈	—	43	4	no	—
309	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
310	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
311	C₄⋊C₄	—	43	2	no	—
312	C₂²⋊C₄	—	2	2	no	—
313	C₂²⋊C₄	—	43	2	no	—
314	C₂²⋊C₄	—	86	2	no	—
315	C₂²⋊C₄	—	86	2	no	—
316	C₂²⋊C₄	—	86	2	no	—
317	C₄²	—	43	1	no	—
318	C₄²	C₂²×D₄₃	1	1	yes	characteristic
319	C₂³	—	2	1	no	—
320	C₂³	—	2	1	no	—
321	C₂³	—	2	1	no	—
322	C₂³	—	43	1	no	—
323	C₂³	—	86	1	no	—
324	C₂³	—	86	1	no	—
325	C₂³	—	86	1	no	—
326	C₂³	—	344	2	no	—
327	C₂³	—	344	2	no	—
328	C₂³	—	172	2	no	—
329	C₂³	—	172	2	no	—
330	Q₈	—	2	1	no	—
331	Q₈	—	2	1	no	—
332	Q₈	—	86	1	no	—
333	Q₈	—	86	1	no	—
334	D₄	—	2	1	no	—
335	D₄	—	2	1	no	—
336	D₄	—	2	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	2	1	no	—
340	D₄	—	8	2	no	—
341	D₄	—	86	1	no	—
342	D₄	—	86	1	no	—
343	D₄	—	86	1	no	—
344	D₄	—	86	1	no	—
345	D₄	—	86	1	no	—
346	D₄	—	86	1	no	—
347	D₄	—	344	2	no	—
348	D₄	—	344	2	no	—
349	D₄	—	344	2	no	—
350	D₄	—	172	2	no	—
351	D₄	—	172	2	no	—
352	D₄	—	172	2	no	—
353	D₄	—	172	2	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	43	1	no	—
356	C₂×C₄	—	43	2	no	—
357	C₂×C₄	—	43	2	no	—
358	C₂×C₄	—	43	2	no	—
359	C₂×C₄	—	86	1	no	—
360	C₂×C₄	—	172	2	no	—
361	C₂×C₄	—	172	2	no	—
362	C₂×C₄	D₄×D₄₃	1	2	yes	—
363	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
364	C₈	—	43	2	no	—
365	C₈	—	43	2	no	—
366	C₈	D₄×D₄₃	1	2	yes	—
367	C₈	D₄×D₄₃	1	2	yes	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	4	2	no	—
373	C₂²	—	4	2	no	—
374	C₂²	—	43	2	no	—
375	C₂²	—	86	2	no	—
376	C₂²	—	344	4	no	—
377	C₂²	—	344	4	no	—
378	C₂²	—	172	1	no	—
379	C₂²	—	172	1	no	—
380	C₂²	—	172	1	no	—
381	C₂²	—	172	2	no	—
382	C₂²	—	172	2	no	—
383	C₂²	—	172	2	no	—
384	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
385	C₄	—	2	2	no	—
386	C₄	—	4	1	no	—
387	C₄	—	43	2	no	—
388	C₄	—	86	2	no	—
389	C₄	—	172	1	no	—
390	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
391	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
392	C₂	—	8	1	no	—
393	C₂	—	8	1	no	—
394	C₂	—	8	1	no	—
395	C₂	—	86	2	no	—
396	C₂	—	344	1	no	—
397	C₂	—	344	1	no	—
398	C₂	—	344	1	no	—
399	C₂	#127×D₄₃	1	1	yes	characteristic
400	C₂	#14583703	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#496	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#496	D₄₃
hypocenter	C₄₃	#3155
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #496

Complements

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

N	H ≅ G/N	type
1. C₂×#13063352	C₂	semidirect
2. C₂×#13063349	C₂	semidirect
3. C₂×#13063346	C₂	semidirect
4. C₂×D₈×D₄₃	C₂	semidirect
5. #14583467	C₂	semidirect
6. #14583462	C₂	semidirect
7. #14583288	C₂	semidirect
8. #14583287	C₂	semidirect
9. #14583285	C₂	semidirect
10. #14583281	C₂	semidirect
11. #14583280	C₂	semidirect
12. #14583275	C₂	semidirect
13. #14583274	C₂	semidirect
14. #14582856	C₂	semidirect
15. C₄₃×#496	C₂	semidirect
23. C₂×#10621885	C₂²	semidirect
24. C₂×#10621873	C₂²	semidirect
25. C₂×#10621873	C₂²	semidirect
26. C₂×#10621883	C₂²	semidirect
27. C₂×#10621884	C₂²	semidirect
29. C₂×D₃₄₄	C₂²	semidirect
32. C₂×#10621882	C₂²	semidirect
33. C₂×#10621882	C₂²	semidirect
34. C₂×#10621882	C₂²	semidirect
38. #13063322	C₂²	semidirect
39. #13063321	C₂²	semidirect
40. #13063321	C₂²	semidirect
41. #13063314	C₂²	semidirect
42. #13063313	C₂²	semidirect
43. #13063312	C₂²	semidirect
49. #13063235	C₂²	semidirect
50. C₄×C₄₃⋊C₈	C₂²	semidirect
51. C₈×Dic₄₃	C₂²	semidirect
52. C₂×SD₁₆×C₄₃	C₂²	semidirect
53. C₂×SD₁₆×C₄₃	C₂²	semidirect
55. C₂×D₈×C₄₃	C₂²	semidirect
56. #127×C₄₃	C₂²	semidirect
57. #124×C₄₃	C₂²	semidirect
58. #97×C₄₃	C₂²	semidirect
116. #10621872	D₄	semidirect
117. C₈×D₄₃	D₄	semidirect
210. #496	D₄₃	semidirect
216. C₄₃	#3155	semidirect
229. C₂×SD₁₆	C₂×D₄₃	semidirect
230. C₂×SD₁₆	C₂×D₄₃	semidirect
240. C₂×D₈	C₂×D₄₃	semidirect
246. #127	C₂×D₄₃	semidirect
250. #124	C₂×D₄₃	semidirect
257. #97	C₂×D₄₃	semidirect