Subgroups — #19144593

Order 5504.

492 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14583446	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583214	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583211	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583178	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583177	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583093	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583092	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583034	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583031	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×D₃₄₄	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#10621882	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×#10621882	C₂	1	1	yes	maximal, characteristic, complemented
14	#14582950	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×D₈×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621898	—	2	1	no	—
17	C₂×D₄×D₄₃	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₄₃	—	2	1	no	—
19	C₂×D₃₄₄	C₂²	1	1	yes	characteristic
20	C₂×#10621882	C₂²	1	1	yes	characteristic
21	C₂×#10621882	C₂²	1	1	yes	characteristic
22	#13063324	C₂²	1	1	yes	characteristic, complemented
23	#13063321	C₂²	1	1	yes	characteristic, complemented
24	#13063311	—	2	1	no	—
25	#13063300	C₂²	1	1	yes	characteristic
26	#13063298	—	2	1	no	—
27	#13063296	C₂²	1	1	yes	characteristic
28	C₄×D₁₇₂	C₂²	1	1	yes	characteristic
29	C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
30	D₄×Dic₄₃	C₂²	1	1	yes	characteristic
31	#13063287	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₄₃	—	2	1	no	—
33	C₄×C₂²⋊D₄₃	—	2	1	no	—
34	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
35	C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
36	C₂²⋊C₄×D₄₃	—	2	1	no	—
37	C₄²×D₄₃	C₂²	1	1	yes	characteristic
38	#13063259	C₂²	1	1	yes	characteristic, complemented
39	#13063258	C₂²	1	1	yes	characteristic, complemented
40	#13063258	C₂²	1	1	yes	characteristic, complemented
41	Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
42	Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
43	#13063247	C₂²	1	1	yes	characteristic
44	#13063247	C₂²	1	1	yes	characteristic, complemented
45	#13063246	C₂²	1	1	yes	characteristic
46	#13063246	C₂²	1	1	yes	characteristic, complemented
47	#13063245	C₂²	1	1	yes	characteristic
48	#13063245	C₂²	1	1	yes	characteristic, complemented
49	(C₂×D₄₃)⋊C₈	C₂²	1	1	yes	characteristic
50	(C₂×D₄₃)⋊C₈	C₂²	1	1	yes	characteristic
51	C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×D₈×C₄₃	C₂²	1	1	yes	characteristic
53	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
55	#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
56	#102×C₄₃	C₂²	1	1	yes	characteristic
57	#102×C₄₃	C₂²	1	1	yes	characteristic, complemented
58	C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₄₃	—	2	1	no	—
60	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₄₃	—	2	1	no	—
63	C₂²×C₄×C₄₃	—	2	1	no	—
64	C₂×C₂²⋊D₄₃	—	2	1	no	—
65	C₂×C₂²⋊D₄₃	—	2	1	no	—
66	C₂×C₂²⋊D₄₃	—	2	1	no	—
67	C₂×C₂²⋊D₄₃	—	2	1	no	—
68	C₂²×Dic₄₃	—	2	1	no	—
69	D₄×D₄₃	—	2	2	no	—
70	D₄×D₄₃	—	2	2	no	—
71	#10621898	—	4	4	no	—
72	C₂×D₁₇₂	—	2	1	no	—
73	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
74	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
75	C₂×C₄×D₄₃	—	2	1	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	—	4	4	no	—
80	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
81	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
82	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
83	C₂×Dic₈₆	—	2	1	no	—
84	D₈×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	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
92	C₂²⋊Dic₄₃	—	2	1	no	—
93	C₂²⋊Dic₄₃	—	2	1	no	—
94	#10621882	—	2	2	no	—
95	#10621882	—	2	2	no	—
96	(C₂×D₄₃)⋊C₄	—	2	1	no	—
97	(C₂×D₄₃)⋊C₄	—	2	1	no	—
98	(C₂×D₄₃)⋊C₄	—	2	1	no	—
99	(C₂×D₄₃)⋊C₄	—	2	1	no	—
100	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
101	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
102	Dic₄₃⋊C₄	—	2	1	no	—
103	Dic₄₃⋊C₄	—	2	1	no	—
104	C₄×Dic₄₃	D₄	1	1	yes	characteristic
105	C₄×Dic₄₃	D₄	1	1	yes	characteristic
106	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
107	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
108	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
109	D₃₄₄	—	2	2	no	—
110	C₂³×C₄₃	—	2	1	no	—
111	C₂³×C₄₃	—	2	1	no	—
112	C₂²×D₄₃	—	2	4	no	—
113	C₂²×D₄₃	—	2	1	no	—
114	C₂²×D₄₃	—	2	1	no	—
115	C₂²×D₄₃	—	4	2	no	—
116	C₂²×D₄₃	—	4	2	no	—
117	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
118	D₄×C₄₃	—	2	1	no	—
119	D₄×C₄₃	—	2	1	no	—
120	D₄×C₄₃	—	2	1	no	—
121	D₄×C₄₃	#41	1	2	yes	complemented
122	C₂×C₄×C₄₃	—	2	1	no	—
123	C₂×C₄×C₄₃	—	2	1	no	—
124	C₂×C₄×C₄₃	—	4	2	no	—
125	C₂×C₄×C₄₃	—	4	2	no	—
126	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
129	C₂²⋊D₄₃	—	2	4	no	—
130	C₂²⋊D₄₃	—	4	2	no	—
131	C₂²⋊D₄₃	—	4	2	no	—
132	C₂²⋊D₄₃	—	4	2	no	—
133	C₂×Dic₄₃	—	2	1	no	—
134	C₂×Dic₄₃	—	2	1	no	—
135	C₂×Dic₄₃	—	4	2	no	—
136	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
137	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
138	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
139	D₁₇₂	—	2	1	no	—
140	D₁₇₂	—	2	1	no	—
141	D₁₇₂	—	2	1	no	—
142	D₁₇₂	—	4	2	no	—
143	D₁₇₂	#41	1	2	yes	complemented
144	C₄×D₄₃	—	2	1	no	—
145	C₄×D₄₃	—	2	1	no	—
146	C₄×D₄₃	—	4	1	no	—
147	C₄×D₄₃	—	4	2	no	—
148	C₄×D₄₃	—	4	2	no	—
149	C₄×D₄₃	—	4	2	no	—
150	C₄×D₄₃	—	4	2	no	—
151	C₄×D₄₃	D₈	1	4	yes	complemented
152	Dic₈₆	—	4	2	no	—
153	C₈×C₄₃	—	2	1	no	—
154	C₈×C₄₃	—	2	1	no	—
155	C₄₃⋊C₈	—	2	1	no	—
156	C₄₃⋊C₈	—	2	1	no	—
157	C₂²×C₄₃	—	2	2	no	—
158	C₂²×C₄₃	—	4	1	no	—
159	C₂²×C₄₃	—	4	1	no	—
160	C₂²×C₄₃	—	4	1	no	—
161	C₂²×C₄₃	—	4	1	no	—
162	C₂²×C₄₃	—	4	1	no	—
163	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×D₄₃	—	2	1	no	—
165	C₂×D₄₃	—	2	1	no	—
166	C₂×D₄₃	—	2	2	no	—
167	C₂×D₄₃	—	4	8	no	—
168	C₂×D₄₃	—	4	1	no	—
169	C₂×D₄₃	—	4	1	no	—
170	C₂×D₄₃	—	4	1	no	—
171	C₂×D₄₃	—	4	1	no	—
172	C₂×D₄₃	—	4	1	no	—
173	C₂×D₄₃	C₂×D₈	1	2	yes	—
174	C₄×C₄₃	—	2	1	no	—
175	C₄×C₄₃	—	4	1	no	—
176	C₄×C₄₃	—	4	1	no	—
177	C₄×C₄₃	C₂×D₈	1	2	yes	—
178	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
179	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
180	Dic₄₃	—	2	1	no	—
181	Dic₄₃	—	2	1	no	—
182	Dic₄₃	—	4	1	no	—
183	Dic₄₃	—	4	1	no	—
184	Dic₄₃	C₂×D₈	1	2	yes	—
185	#3100	—	43	1	no	maximal, Sylow
186	C₂×C₄₃	—	4	2	no	—
187	C₂×C₄₃	—	8	1	no	—
188	C₂×C₄₃	#525	1	1	yes	characteristic
189	C₂×C₄₃	C₂²×D₈	1	1	yes	characteristic
190	C₂×C₄₃	#575	1	1	yes	characteristic
191	D₄₃	—	2	2	no	—
192	D₄₃	—	4	2	no	—
193	D₄₃	—	8	1	no	—
194	#532	—	43	1	no	—
195	C₂×C₄×D₄	—	43	1	no	—
196	#480	—	43	1	no	—
197	#480	—	43	1	no	—
198	#474	—	43	1	no	—
199	#474	—	43	1	no	—
200	#459	—	43	1	no	—
201	#459	—	43	1	no	—
202	#447	—	43	1	no	—
203	#447	—	43	1	no	—
204	C₄×D₈	—	43	1	no	—
205	C₄×D₈	—	43	1	no	—
206	C₄×D₈	—	43	1	no	—
207	C₄×D₈	D₄₃	1	1	yes	characteristic, complemented
208	#431	—	43	1	no	—
209	C₄₃	#3100	1	1	yes	characteristic, complemented, Sylow
210	C₂×#41	—	86	1	no	—
211	C₂²×D₄	—	43	1	no	—
212	C₂³×C₄	—	86	1	no	—
213	C₂×D₈	—	43	1	no	—
214	C₂×D₈	—	43	1	no	—
215	C₂×D₈	—	43	1	no	—
216	C₂×D₈	C₂×D₄₃	1	1	yes	characteristic
217	C₄⋊Q₈	—	43	1	no	—
218	#127	—	43	1	no	—
219	#124	—	86	1	no	—
220	#121	—	43	1	no	—
221	#121	—	43	1	no	—
222	#121	—	86	1	no	—
223	C₄×D₄	—	43	1	no	—
224	C₄×D₄	—	43	1	no	—
225	C₄×D₄	—	43	1	no	—
226	C₄×D₄	—	43	1	no	—
227	C₄×D₄	—	86	1	no	—
228	C₄×D₄	—	86	1	no	—
229	C₄×D₄	—	86	1	no	—
230	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
231	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
232	C₂×C₄⋊C₄	—	43	1	no	—
233	C₂×C₂²⋊C₄	—	86	1	no	—
234	C₂×C₄²	—	43	1	no	—
235	#107	—	43	1	no	—
236	#107	—	43	1	no	—
237	#107	—	43	1	no	—
238	#107	C₂×D₄₃	1	1	yes	characteristic, complemented
239	C₄⋊C₈	—	43	1	no	—
240	C₄⋊C₈	—	43	1	no	—
241	#102	—	43	1	no	—
242	#102	—	43	1	no	—
243	#102	—	43	1	no	—
244	#102	—	43	1	no	—
245	#102	—	43	1	no	—
246	#102	—	43	1	no	—
247	#102	C₂×D₄₃	1	1	yes	characteristic
248	#102	C₂×D₄₃	1	1	yes	characteristic, complemented
249	C₂²⋊C₈	—	43	1	no	—
250	C₂²⋊C₈	—	43	1	no	—
251	C₄×C₈	—	43	1	no	—
252	C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
253	C₂⁴	—	86	1	no	—
254	#41	—	172	4	no	—
255	C₂×Q₈	—	86	1	no	—
256	C₂×D₄	—	43	1	no	—
257	C₂×D₄	—	43	1	no	—
258	C₂×D₄	—	86	1	no	—
259	C₂×D₄	—	86	1	no	—
260	C₂×D₄	—	86	1	no	—
261	C₂×D₄	—	86	1	no	—
262	C₂×D₄	—	86	2	no	—
263	C₂×D₄	—	86	2	no	—
264	C₂×D₄	—	86	1	no	—
265	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
266	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	43	1	no	—
270	C₂²×C₄	—	43	1	no	—
271	C₂²×C₄	—	43	1	no	—
272	C₂²×C₄	—	86	1	no	—
273	C₂²×C₄	—	86	1	no	—
274	C₂²×C₄	—	86	1	no	—
275	C₂²×C₄	—	86	1	no	—
276	C₂²×C₄	—	86	1	no	—
277	C₂²×C₄	—	172	4	no	—
278	D₈	—	2	2	no	—
279	D₈	—	86	2	no	—
280	D₈	—	86	2	no	—
281	D₈	—	86	2	no	—
282	C₂×C₈	—	43	1	no	—
283	C₂×C₈	—	43	1	no	—
284	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
285	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
286	C₄⋊C₄	—	43	1	no	—
287	C₄⋊C₄	—	43	1	no	—
288	C₄⋊C₄	—	86	1	no	—
289	C₄⋊C₄	—	86	1	no	—
290	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
291	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
292	C₂²⋊C₄	—	2	1	no	—
293	C₂²⋊C₄	—	2	1	no	—
294	C₂²⋊C₄	—	86	1	no	—
295	C₂²⋊C₄	—	86	1	no	—
296	C₂²⋊C₄	—	86	1	no	—
297	C₂²⋊C₄	—	86	1	no	—
298	C₂²⋊C₄	—	86	1	no	—
299	C₂²⋊C₄	—	86	1	no	—
300	C₄²	—	43	1	no	—
301	C₄²	—	43	1	no	—
302	C₄²	—	43	1	no	—
303	C₄²	C₂²×D₄₃	1	1	yes	characteristic
304	C₂³	—	2	1	no	—
305	C₂³	—	2	1	no	—
306	C₂³	—	43	1	no	—
307	C₂³	—	86	4	no	—
308	C₂³	—	86	1	no	—
309	C₂³	—	86	1	no	—
310	C₂³	—	172	2	no	—
311	C₂³	—	172	2	no	—
312	Q₈	—	172	2	no	—
313	D₄	—	2	1	no	—
314	D₄	—	2	1	no	—
315	D₄	—	2	1	no	—
316	D₄	—	43	2	no	—
317	D₄	—	86	4	no	—
318	D₄	—	86	1	no	—
319	D₄	—	86	1	no	—
320	D₄	—	86	1	no	—
321	D₄	—	172	2	no	—
322	D₄	—	172	2	no	—
323	D₄	—	172	2	no	—
324	D₄	—	172	2	no	—
325	D₄	#10621898	1	2	yes	complemented
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	43	1	no	—
331	C₂×C₄	—	43	4	no	—
332	C₂×C₄	—	43	1	no	—
333	C₂×C₄	—	43	1	no	—
334	C₂×C₄	—	86	1	no	—
335	C₂×C₄	—	86	1	no	—
336	C₂×C₄	—	86	1	no	—
337	C₂×C₄	—	86	1	no	—
338	C₂×C₄	—	172	1	no	—
339	C₂×C₄	—	172	2	no	—
340	C₂×C₄	—	172	2	no	—
341	C₂×C₄	—	172	2	no	—
342	C₂×C₄	—	172	2	no	—
343	C₂×C₄	—	172	2	no	—
344	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
345	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
346	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
347	C₈	—	2	1	no	—
348	C₈	—	2	1	no	—
349	C₈	—	86	1	no	—
350	C₈	—	86	1	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	1	no	—
357	C₂²	—	43	2	no	—
358	C₂²	—	86	1	no	—
359	C₂²	—	86	1	no	—
360	C₂²	—	86	2	no	—
361	C₂²	—	172	8	no	—
362	C₂²	—	172	1	no	—
363	C₂²	—	172	1	no	—
364	C₂²	—	172	1	no	—
365	C₂²	—	172	1	no	—
366	C₂²	—	172	1	no	—
367	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
368	C₄	—	2	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	—	43	2	no	—
372	C₄	—	86	1	no	—
373	C₄	—	86	1	no	—
374	C₄	—	172	1	no	—
375	C₄	—	172	1	no	—
376	C₄	D₈×D₄₃	1	2	yes	—
377	C₄	#41×D₄₃	1	1	yes	characteristic
378	C₄	C₂×#10621898	1	1	yes	characteristic
379	C₂	—	4	2	no	—
380	C₂	—	8	1	no	—
381	C₂	—	86	2	no	—
382	C₂	—	344	1	no	—
383	C₂	—	172	2	no	—
384	C₂	#14583408	1	1	yes	characteristic
385	C₂	C₂×D₈×D₄₃	1	1	yes	characteristic
386	C₂	#14583696	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄×D₈×C₄₃	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	C₄×D₈	D₄₃
hypocenter	C₄₃	#3100
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×D₈

Complements

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

N	H ≅ G/N	type
1. #14583446	C₂	semidirect
2. C₄×D₄×D₄₃	C₂	semidirect
3. #14583214	C₂	semidirect
4. #14583211	C₂	semidirect
5. #14583178	C₂	semidirect
6. #14583177	C₂	semidirect
7. #14583093	C₂	semidirect
8. #14583092	C₂	semidirect
9. #14583034	C₂	semidirect
10. #14583031	C₂	semidirect
11. C₄×D₃₄₄	C₂	semidirect
12. C₄×#10621882	C₂	semidirect
13. C₄×#10621882	C₂	semidirect
14. #14582950	C₂	semidirect
15. C₄×D₈×C₄₃	C₂	semidirect
22. #13063324	C₂²	semidirect
23. #13063321	C₂²	semidirect
29. C₄×D₁₇₂	C₂²	semidirect
38. #13063259	C₂²	semidirect
39. #13063258	C₂²	semidirect
40. #13063258	C₂²	semidirect
41. Dic₄₃⋊C₈	C₂²	semidirect
42. Dic₄₃⋊C₈	C₂²	semidirect
44. #13063247	C₂²	semidirect
46. #13063246	C₂²	semidirect
48. #13063245	C₂²	semidirect
51. C₄×C₄₃⋊C₈	C₂²	semidirect
54. C₄×D₄×C₄₃	C₂²	semidirect
55. #107×C₄₃	C₂²	semidirect
57. #102×C₄₃	C₂²	semidirect
58. C₄×C₈×C₄₃	C₂²	semidirect
121. D₄×C₄₃	#41	semidirect
143. D₁₇₂	#41	semidirect
151. C₄×D₄₃	D₈	semidirect
207. C₄×D₈	D₄₃	semidirect
209. C₄₃	#3100	semidirect
231. C₄×D₄	C₂×D₄₃	semidirect
238. #107	C₂×D₄₃	semidirect
248. #102	C₂×D₄₃	semidirect
252. C₄×C₈	C₂×D₄₃	semidirect
325. D₄	#10621898	semidirect