Subgroups — #19144222

Order 5504.

496 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063357	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#10621872	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583412	C₂	1	1	yes	maximal, characteristic
4	C₂²⋊Q₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583156	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583154	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583148	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583146	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583138	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583130	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583128	C₂	1	1	yes	maximal, characteristic, complemented
12	#14582940	C₂	1	1	yes	maximal, characteristic, complemented
13	#14582906	C₂	1	1	yes	maximal, characteristic, complemented
14	#14582899	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621902	C₂²	1	1	yes	characteristic
17	C₂×Q₈×D₄₃	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₄₃	C₂²	1	1	yes	characteristic
19	#13063357	—	2	4	no	—
20	C₂×#10621885	C₂²	1	1	yes	characteristic, complemented
21	C₂×#10621873	C₂²	1	1	yes	characteristic, complemented
22	C₂×#10621884	C₂²	1	1	yes	characteristic, complemented
23	C₂×#10621872	—	2	4	no	—
24	C₂×#10621872	C₂²	1	1	yes	characteristic
25	C₂×#10621872	C₂²	1	1	yes	characteristic
26	C₂×#10621872	C₂²	1	1	yes	characteristic
27	C₂×#10621872	C₂²	1	1	yes	characteristic
28	C₂²×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
29	#13063310	—	2	1	no	—
30	#13063305	C₂²	1	1	yes	characteristic
31	#13063304	C₂²	1	1	yes	characteristic
32	#13063303	—	2	1	no	—
33	#13063302	—	2	1	no	—
34	#13063301	C₂²	1	1	yes	characteristic
35	#13063301	C₂²	1	1	yes	characteristic
36	#13063300	C₂²	1	1	yes	characteristic
37	#13063299	C₂²	1	1	yes	characteristic
38	#13063295	—	2	1	no	—
39	#13063287	—	2	1	no	—
40	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
41	#13063283	C₂²	1	1	yes	characteristic
42	C₄⋊C₄×D₄₃	—	2	1	no	—
43	C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
44	C₂²⋊C₄×D₄₃	—	2	1	no	—
45	#13063258	C₂²	1	1	yes	characteristic, complemented
46	#13063257	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	#13063249	C₂²	1	1	yes	characteristic, complemented
51	#13063248	C₂²	1	1	yes	characteristic, complemented
52	#13063247	C₂²	1	1	yes	characteristic, complemented
53	#13063245	C₂²	1	1	yes	characteristic, complemented
54	C₂×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₈×C₄₃	C₂²	1	1	yes	characteristic
56	C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
57	C₂²⋊Q₈×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	#103×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×Q₈×C₄₃	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₄₃	—	2	1	no	—
66	C₂²×Dic₄₃	D₄	1	1	yes	characteristic
67	#10621902	—	2	2	no	—
68	#10621902	—	2	2	no	—
69	Q₈×D₄₃	—	2	2	no	—
70	Q₈×D₄₃	—	2	2	no	—
71	C₂×D₁₇₂	—	2	1	no	—
72	C₂×D₁₇₂	—	2	1	no	—
73	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
74	C₂×C₄×D₄₃	—	2	2	no	—
75	C₂×C₄×D₄₃	—	2	2	no	—
76	C₂×C₄×D₄₃	—	2	1	no	—
77	C₂×C₄×D₄₃	—	2	1	no	—
78	C₂×C₄×D₄₃	—	2	1	no	—
79	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
80	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
81	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
82	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
83	C₂×Dic₈₆	—	2	1	no	—
84	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
85	Q₁₆×C₄₃	—	2	2	no	—
86	C₂×C₈×C₄₃	—	2	2	no	—
87	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
88	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₄₃	—	2	1	no	—
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	#10621885	—	2	2	no	—
97	#10621884	—	2	2	no	—
98	(C₂×D₄₃)⋊C₄	—	2	1	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	C₄⋊Dic₄₃	—	2	1	no	—
105	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
106	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
107	Dic₄₃⋊C₄	—	2	1	no	—
108	Dic₄₃⋊C₄	—	2	1	no	—
109	Dic₄₃⋊C₄	—	2	1	no	—
110	Dic₄₃⋊C₄	—	2	1	no	—
111	C₄×Dic₄₃	—	2	1	no	—
112	C₂×C₄₃⋊C₈	—	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	#10621872	—	2	2	no	—
119	#10621872	D₄	1	4	yes	complemented
120	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂²×D₄₃	—	2	2	no	—
122	C₂²×D₄₃	—	2	2	no	—
123	C₂²×D₄₃	—	2	1	no	—
124	C₂²×D₄₃	—	4	1	no	—
125	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
126	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
127	Q₈×C₄₃	—	2	1	no	—
128	Q₈×C₄₃	—	2	1	no	—
129	Q₈×C₄₃	—	2	1	no	—
130	Q₈×C₄₃	—	2	1	no	—
131	C₂×C₄×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	—	2	1	no	—
136	C₂×C₄×C₄₃	—	2	1	no	—
137	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
139	C₂²⋊D₄₃	—	4	2	no	—
140	C₂×Dic₄₃	—	2	2	no	—
141	C₂×Dic₄₃	—	2	1	no	—
142	C₂×Dic₄₃	—	2	1	no	—
143	C₂×Dic₄₃	—	2	1	no	—
144	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
145	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
146	D₁₇₂	—	2	1	no	—
147	D₁₇₂	—	2	1	no	—
148	D₁₇₂	—	4	2	no	—
149	D₁₇₂	—	4	2	no	—
150	C₄×D₄₃	—	2	2	no	—
151	C₄×D₄₃	—	2	1	no	—
152	C₄×D₄₃	—	2	1	no	—
153	C₄×D₄₃	—	2	2	no	—
154	C₄×D₄₃	—	4	2	no	—
155	C₄×D₄₃	—	4	2	no	—
156	C₄×D₄₃	—	4	2	no	—
157	C₄×D₄₃	C₂×D₄	1	2	yes	—
158	C₄×D₄₃	#41	1	2	yes	—
159	Dic₈₆	—	2	1	no	—
160	Dic₈₆	—	2	1	no	—
161	Dic₈₆	—	4	2	no	—
162	C₈×C₄₃	—	2	1	no	—
163	C₈×C₄₃	C₂×D₄	1	2	yes	—
164	C₄₃⋊C₈	—	2	1	no	—
165	C₄₃⋊C₈	C₂×D₄	1	2	yes	—
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	#137	1	2	yes	complemented
169	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
170	C₂×D₄₃	—	2	1	no	—
171	C₂×D₄₃	—	2	1	no	—
172	C₂×D₄₃	—	2	1	no	—
173	C₂×D₄₃	—	2	1	no	—
174	C₂×D₄₃	—	2	1	no	—
175	C₂×D₄₃	—	4	4	no	—
176	C₂×D₄₃	—	4	1	no	—
177	C₂×D₄₃	—	4	1	no	—
178	C₂×D₄₃	—	4	1	no	—
179	C₂×D₄₃	#121	1	2	yes	—
180	C₄×C₄₃	—	2	1	no	—
181	C₄×C₄₃	—	4	1	no	—
182	C₄×C₄₃	—	4	1	no	—
183	C₄×C₄₃	—	4	1	no	—
184	C₄×C₄₃	—	4	1	no	—
185	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
186	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
187	Dic₄₃	—	2	1	no	—
188	Dic₄₃	—	4	1	no	—
189	Dic₄₃	—	4	1	no	—
190	Dic₄₃	—	4	1	no	—
191	Dic₄₃	#121	1	2	yes	—
192	#3056	—	43	1	no	maximal, Sylow
193	C₂×C₄₃	—	2	2	no	—
194	C₂×C₄₃	C₂×#121	1	1	yes	characteristic
195	C₂×C₄₃	C₂×#137	1	1	yes	characteristic
196	C₂×C₄₃	#575	1	1	yes	characteristic
197	D₄₃	—	2	2	no	—
198	D₄₃	—	4	1	no	—
199	D₄₃	—	8	1	no	—
200	C₂×#137	—	43	1	no	—
201	C₂²×M₁₆	—	43	1	no	—
202	#525	—	43	1	no	—
203	C₂×C₂²⋊Q₈	—	43	1	no	—
204	#470	—	43	1	no	—
205	#470	—	43	1	no	—
206	#468	—	43	1	no	—
207	#468	—	43	1	no	—
208	#467	—	43	1	no	—
209	#467	D₄₃	1	1	yes	characteristic, complemented
210	#465	—	43	1	no	—
211	#465	—	43	1	no	—
212	#428	—	43	1	no	—
213	#419	—	43	1	no	—
214	#417	—	43	1	no	—
215	C₄₃	#3056	1	1	yes	characteristic, complemented, Sylow
216	C₂×#41	—	43	1	no	—
217	C₂²×Q₈	—	43	1	no	—
218	C₂³×C₄	—	43	1	no	—
219	#137	—	86	4	no	—
220	C₂×Q₁₆	—	43	1	no	—
221	C₂×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
222	C₂×SD₁₆	—	43	1	no	—
223	C₂×SD₁₆	—	43	1	no	—
224	C₂×M₁₆	—	43	1	no	—
225	C₂×M₁₆	—	43	1	no	—
226	C₂×M₁₆	—	43	1	no	—
227	C₂×M₁₆	—	43	1	no	—
228	C₂×M₁₆	—	86	4	no	—
229	C₂²×C₈	—	43	1	no	—
230	C₂²×C₈	C₂×D₄₃	1	1	yes	characteristic
231	#123	—	86	1	no	—
232	C₂²⋊Q₈	—	43	1	no	—
233	C₂²⋊Q₈	—	43	1	no	—
234	C₂²⋊Q₈	—	43	1	no	—
235	C₂²⋊Q₈	—	43	1	no	—
236	C₂²⋊Q₈	—	86	1	no	—
237	C₂²⋊Q₈	—	86	1	no	—
238	C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
239	C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
240	#121	—	43	1	no	—
241	#121	—	43	1	no	—
242	#120	—	86	1	no	—
243	C₄×D₄	—	86	1	no	—
244	C₄×D₄	—	86	1	no	—
245	#117	—	43	1	no	—
246	C₂×C₄⋊C₄	—	43	1	no	—
247	C₂×C₄⋊C₄	—	86	1	no	—
248	C₂×C₂²⋊C₄	—	86	1	no	—
249	#107	—	43	1	no	—
250	#107	C₂×D₄₃	1	1	yes	characteristic, complemented
251	#106	—	43	1	no	—
252	#106	—	43	1	no	—
253	#103	—	43	1	no	—
254	#103	—	43	1	no	—
255	#103	—	43	1	no	—
256	#103	—	43	1	no	—
257	#103	C₂×D₄₃	1	1	yes	characteristic, complemented
258	#103	C₂×D₄₃	1	1	yes	characteristic, complemented
259	#102	—	43	1	no	—
260	#102	—	43	1	no	—
261	C₂⁴	—	43	1	no	—
262	#41	—	86	2	no	—
263	#41	—	86	2	no	—
264	C₂×Q₈	—	43	1	no	—
265	C₂×Q₈	—	86	1	no	—
266	C₂×Q₈	—	86	2	no	—
267	C₂×Q₈	—	86	2	no	—
268	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
269	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
270	C₂×D₄	—	43	1	no	—
271	C₂×D₄	—	86	1	no	—
272	C₂×D₄	—	86	1	no	—
273	C₂×D₄	—	86	1	no	—
274	C₂²×C₄	—	43	1	no	—
275	C₂²×C₄	—	43	1	no	—
276	C₂²×C₄	—	43	1	no	—
277	C₂²×C₄	—	43	1	no	—
278	C₂²×C₄	—	43	1	no	—
279	C₂²×C₄	—	86	2	no	—
280	C₂²×C₄	—	86	2	no	—
281	C₂²×C₄	—	86	1	no	—
282	C₂²×C₄	—	86	1	no	—
283	C₂²×C₄	—	86	1	no	—
284	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
285	Q₁₆	—	2	2	no	—
286	Q₁₆	—	86	2	no	—
287	SD₁₆	—	86	2	no	—
288	SD₁₆	—	86	2	no	—
289	M₁₆	—	43	4	no	—
290	M₁₆	—	86	2	no	—
291	M₁₆	—	86	2	no	—
292	M₁₆	—	86	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	43	1	no	—
295	C₂×C₈	—	43	1	no	—
296	C₂×C₈	—	86	2	no	—
297	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
298	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	1	no	—
301	C₄⋊C₄	—	43	1	no	—
302	C₄⋊C₄	—	43	1	no	—
303	C₄⋊C₄	—	86	1	no	—
304	C₄⋊C₄	—	86	1	no	—
305	C₄⋊C₄	—	86	1	no	—
306	C₄⋊C₄	—	86	1	no	—
307	C₄⋊C₄	—	86	1	no	—
308	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
309	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
310	C₂²⋊C₄	—	2	1	no	—
311	C₂²⋊C₄	—	2	1	no	—
312	C₂²⋊C₄	—	86	1	no	—
313	C₂²⋊C₄	—	86	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	C₄²	—	86	1	no	—
320	C₂³	—	43	1	no	—
321	C₂³	—	43	1	no	—
322	C₂³	—	86	2	no	—
323	C₂³	—	86	2	no	—
324	C₂³	—	86	1	no	—
325	C₂³	—	172	1	no	—
326	C₂³	D₄×D₄₃	1	1	yes	characteristic
327	Q₈	—	2	1	no	—
328	Q₈	—	2	1	no	—
329	Q₈	—	2	1	no	—
330	Q₈	—	2	1	no	—
331	Q₈	—	86	1	no	—
332	Q₈	—	86	1	no	—
333	Q₈	—	172	2	no	—
334	D₄	—	86	1	no	—
335	D₄	—	86	1	no	—
336	D₄	—	172	2	no	—
337	D₄	—	172	2	no	—
338	D₄	—	172	2	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	43	1	no	—
346	C₂×C₄	—	43	2	no	—
347	C₂×C₄	—	43	2	no	—
348	C₂×C₄	—	43	1	no	—
349	C₂×C₄	—	86	2	no	—
350	C₂×C₄	—	86	2	no	—
351	C₂×C₄	—	86	2	no	—
352	C₂×C₄	—	86	1	no	—
353	C₂×C₄	—	86	1	no	—
354	C₂×C₄	—	86	1	no	—
355	C₂×C₄	—	86	1	no	—
356	C₂×C₄	—	86	1	no	—
357	C₂×C₄	—	172	2	no	—
358	C₂×C₄	—	172	2	no	—
359	C₂×C₄	—	172	2	no	—
360	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
361	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
362	C₈	—	2	1	no	—
363	C₈	—	43	2	no	—
364	C₈	—	86	1	no	—
365	C₈	D₄×D₄₃	1	2	yes	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	43	2	no	—
369	C₂²	—	86	1	no	—
370	C₂²	—	86	1	no	—
371	C₂²	—	86	1	no	—
372	C₂²	—	86	1	no	—
373	C₂²	—	86	1	no	—
374	C₂²	—	172	4	no	—
375	C₂²	—	172	1	no	—
376	C₂²	—	172	1	no	—
377	C₂²	—	172	1	no	—
378	C₂²	#13063357	1	2	yes	complemented
379	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	4	1	no	—
382	C₄	—	4	1	no	—
383	C₄	—	4	1	no	—
384	C₄	—	4	1	no	—
385	C₄	—	43	2	no	—
386	C₄	—	86	1	no	—
387	C₄	—	172	1	no	—
388	C₄	—	172	1	no	—
389	C₄	—	172	1	no	—
390	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
391	C₄	#41×D₄₃	1	1	yes	characteristic
392	C₂	—	2	2	no	—
393	C₂	—	86	2	no	—
394	C₂	—	344	1	no	—
395	C₂	—	172	1	no	—
396	C₂	#121×D₄₃	1	1	yes	characteristic
397	C₂	C₂×#13063357	1	1	yes	characteristic
398	C₂	#14583696	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#467	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#467	D₄₃
hypocenter	C₄₃	#3056
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #467

Complements

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

N	H ≅ G/N	type
1. C₂×#13063357	C₂	semidirect
2. C₂²×#10621872	C₂	semidirect
4. C₂²⋊Q₈×D₄₃	C₂	semidirect
5. #14583156	C₂	semidirect
6. #14583154	C₂	semidirect
7. #14583148	C₂	semidirect
8. #14583146	C₂	semidirect
9. #14583138	C₂	semidirect
10. #14583130	C₂	semidirect
11. #14583128	C₂	semidirect
12. #14582940	C₂	semidirect
13. #14582906	C₂	semidirect
14. #14582899	C₂	semidirect
15. C₄₃×#467	C₂	semidirect
20. C₂×#10621885	C₂²	semidirect
21. C₂×#10621873	C₂²	semidirect
22. C₂×#10621884	C₂²	semidirect
45. #13063258	C₂²	semidirect
46. #13063257	C₂²	semidirect
47. #13063256	C₂²	semidirect
48. #13063250	C₂²	semidirect
49. #13063249	C₂²	semidirect
50. #13063249	C₂²	semidirect
51. #13063248	C₂²	semidirect
52. #13063247	C₂²	semidirect
53. #13063245	C₂²	semidirect
54. C₂×Q₁₆×C₄₃	C₂²	semidirect
58. #107×C₄₃	C₂²	semidirect
59. #103×C₄₃	C₂²	semidirect
60. #103×C₄₃	C₂²	semidirect
119. #10621872	D₄	semidirect
168. C₂²×C₄₃	#137	semidirect
209. #467	D₄₃	semidirect
215. C₄₃	#3056	semidirect
221. C₂×Q₁₆	C₂×D₄₃	semidirect
250. #107	C₂×D₄₃	semidirect
257. #103	C₂×D₄₃	semidirect
258. #103	C₂×D₄₃	semidirect
378. C₂²	#13063357	semidirect