Subgroups — #19148248

Order 5504.

1536 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063372	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#41×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583569	C₂	1	3	yes	maximal, complemented
4	#14583568	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583567	C₂	1	3	yes	maximal, complemented
6	#14583561	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583558	C₂	1	3	yes	maximal, complemented
8	#14583556	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583555	C₂	1	3	yes	maximal, complemented
10	#14583465	C₂	1	3	yes	maximal, complemented
11	#14583462	C₂	1	3	yes	maximal, complemented
12	#14583409	C₂	1	3	yes	maximal, complemented
13	#14583408	C₂	1	3	yes	maximal, complemented
14	#14583375	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
16	#13063372	—	2	8	no	—
17	C₂×#10621902	C₂²	1	1	yes	characteristic
18	C₂×#10621898	C₂²	1	3	yes	—
19	C₂×#10621898	C₂²	1	3	yes	—
20	C₂×#10621900	C₂²	1	3	yes	—
21	C₂×#10621900	C₂²	1	3	yes	—
22	C₂×#10621900	C₂²	1	3	yes	complemented
23	#41×D₄₃	—	2	8	no	—
24	C₂²×Dic₈₆	C₂²	1	3	yes	complemented
25	C₂×Q₈×D₄₃	C₂²	1	1	yes	characteristic
26	C₂×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
27	C₂×D₄×D₄₃	C₂²	1	3	yes	—
28	C₂²×C₄×D₄₃	C₂²	1	3	yes	—
29	#13063321	C₂²	1	3	yes	complemented
30	#13063321	C₂²	1	6	yes	complemented
31	#13063313	C₂²	1	3	yes	complemented
32	#13063312	C₂²	1	3	yes	complemented
33	#13063311	C₂²	1	6	yes	complemented
34	#13063310	C₂²	1	1	yes	characteristic
35	#13063307	C₂²	1	3	yes	—
36	#13063305	C₂²	1	3	yes	complemented
37	#13063304	C₂²	1	3	yes	complemented
38	#13063303	C₂²	1	3	yes	complemented
39	#13063302	C₂²	1	3	yes	complemented
40	#13063300	C₂²	1	3	yes	complemented
41	#13063299	C₂²	1	3	yes	complemented
42	#13063298	C₂²	1	3	yes	complemented
43	#13063297	C₂²	1	6	yes	complemented
44	#13063297	C₂²	1	6	yes	complemented
45	#13063297	C₂²	1	3	yes	complemented
46	#13063296	C₂²	1	3	yes	complemented
47	#13063296	C₂²	1	3	yes	complemented
48	#13063295	C₂²	1	3	yes	—
49	#13063293	C₂²	1	3	yes	—
50	#13063293	C₂²	1	6	yes	—
51	Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
52	C₄×Dic₈₆	C₂²	1	3	yes	complemented
53	#13063290	C₂²	1	3	yes	complemented
54	C₄×D₁₇₂	C₂²	1	3	yes	complemented
55	D₄×Dic₄₃	C₂²	1	6	yes	complemented
56	C₄×C₂²⋊D₄₃	C₂²	1	3	yes	complemented
57	C₄×C₂²⋊D₄₃	C₂²	1	3	yes	complemented
58	(C₂²⋊D₄₃)⋊C₄	C₂²	1	6	yes	complemented
59	#13063283	C₂²	1	3	yes	—
60	#13063282	C₂²	1	3	yes	—
61	C₂×#41×C₄₃	C₂²	1	1	yes	characteristic
62	C₂×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
63	#127×C₄₃	C₂²	1	3	yes	complemented
64	#121×C₄₃	C₂²	1	3	yes	complemented
65	#121×C₄₃	C₂²	1	3	yes	complemented
66	C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
67	C₄×D₄×C₄₃	C₂²	1	3	yes	complemented
68	C₂³×D₄₃	C₂³	1	3	yes	—
69	#41×C₄₃	—	2	4	no	—
70	#41×C₄₃	—	2	4	no	—
71	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
72	C₂×D₄×C₄₃	C₂³	1	3	yes	—
73	C₂×D₄×C₄₃	C₂³	1	3	yes	—
74	C₂×D₄×C₄₃	C₂³	1	3	yes	—
75	C₂×D₄×C₄₃	C₂³	1	6	yes	—
76	C₂²×C₄×C₄₃	C₂³	1	3	yes	—
77	C₂²×C₄×C₄₃	C₂³	1	3	yes	—
78	C₂×C₂²⋊D₄₃	C₂³	1	3	yes	—
79	C₂×C₂²⋊D₄₃	C₂³	1	6	yes	—
80	C₂×C₂²⋊D₄₃	C₂³	1	3	yes	—
81	C₂×C₂²⋊D₄₃	C₂³	1	6	yes	—
82	C₂×C₂²⋊D₄₃	C₂³	1	3	yes	—
83	C₂×C₂²⋊D₄₃	C₂³	1	3	yes	—
84	C₂²×Dic₄₃	C₂³	1	6	yes	—
85	C₂²×Dic₄₃	C₂³	1	3	yes	—
86	#10621902	—	2	4	no	—
87	Q₈×D₄₃	—	2	4	no	—
88	Q₈×D₄₃	D₄	1	8	yes	complemented
89	#10621900	—	2	12	no	—
90	#10621900	—	2	12	no	—
91	#10621900	—	2	12	no	—
92	D₄×D₄₃	—	2	12	no	—
93	#10621898	—	2	12	no	—
94	#10621898	—	2	12	no	—
95	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
96	C₂×D₁₇₂	C₂³	1	3	yes	—
97	C₂×D₁₇₂	C₂³	1	3	yes	—
98	C₂×C₄×D₄₃	—	2	12	no	—
99	C₂×C₄×D₄₃	C₂³	1	3	yes	—
100	C₂×C₄×D₄₃	C₂³	1	3	yes	—
101	C₂×C₄×D₄₃	C₂³	1	3	yes	—
102	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
103	C₂×C₄×D₄₃	C₂³	1	3	yes	—
104	C₂×Dic₈₆	—	2	12	no	—
105	C₂×Dic₈₆	C₂³	1	3	yes	—
106	C₂×Dic₈₆	C₂³	1	3	yes	—
107	C₂×Dic₈₆	C₂³	1	3	yes	—
108	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₄₃	C₂³	1	3	yes	—
110	C₂²⋊C₄×C₄₃	C₂³	1	3	yes	—
111	C₂²⋊C₄×C₄₃	C₂³	1	3	yes	—
112	C₄²×C₄₃	C₂³	1	3	yes	—
113	C₂²⋊Dic₄₃	C₂³	1	3	yes	—
114	C₂²⋊Dic₄₃	C₂³	1	3	yes	—
115	C₂²⋊Dic₄₃	C₂³	1	6	yes	—
116	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
117	(C₂×D₄₃)⋊C₄	C₂³	1	3	yes	—
118	(C₂×D₄₃)⋊C₄	C₂³	1	6	yes	—
119	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
120	(C₂×D₄₃)⋊C₄	C₂³	1	3	yes	—
121	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
122	(C₂×D₄₃)⋊C₄	C₂³	1	3	yes	—
123	C₄⋊Dic₄₃	C₂³	1	3	yes	—
124	C₄⋊Dic₄₃	C₂³	1	3	yes	—
125	Dic₄₃⋊C₄	C₂³	1	3	yes	—
126	Dic₄₃⋊C₄	C₂³	1	3	yes	—
127	Dic₄₃⋊C₄	C₂³	1	3	yes	—
128	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
129	C₄×Dic₄₃	C₂³	1	3	yes	—
130	C₄×Dic₄₃	C₂³	1	6	yes	—
131	C₂³×C₄₃	C₂⁴	1	3	yes	—
132	C₂³×C₄₃	C₂⁴	1	3	yes	—
133	C₂²×D₄₃	—	2	6	no	—
134	C₂²×D₄₃	—	4	3	no	—
135	C₂²×D₄₃	—	4	3	no	—
136	C₂²×D₄₃	C₂⁴	1	3	yes	—
137	C₂²×D₄₃	C₂⁴	1	1	yes	characteristic
138	C₂²×D₄₃	C₂⁴	1	1	yes	characteristic
139	Q₈×C₄₃	C₂×D₄	1	4	yes	—
140	D₄×C₄₃	—	2	6	no	—
141	D₄×C₄₃	—	2	6	no	—
142	D₄×C₄₃	—	4	6	no	—
143	D₄×C₄₃	—	4	3	no	—
144	C₂×C₄×C₄₃	—	2	6	no	—
145	C₂×C₄×C₄₃	—	2	6	no	—
146	C₂×C₄×C₄₃	C₂⁴	1	3	yes	—
147	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
148	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂⁴	1	3	yes	—
151	C₂²⋊D₄₃	—	2	6	no	—
152	C₂²⋊D₄₃	—	2	12	no	—
153	C₂²⋊D₄₃	—	2	6	no	—
154	C₂²⋊D₄₃	—	4	3	no	—
155	C₂²⋊D₄₃	—	4	6	no	—
156	C₂²⋊D₄₃	—	4	3	no	—
157	C₂×Dic₄₃	—	2	12	no	—
158	C₂×Dic₄₃	—	2	6	no	—
159	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
160	C₂×Dic₄₃	C₂⁴	1	3	yes	—
161	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
162	C₂×Dic₄₃	C₂⁴	1	3	yes	—
163	C₂×Dic₄₃	C₂⁴	1	3	yes	—
164	D₁₇₂	—	2	2	no	—
165	D₁₇₂	—	2	6	no	—
166	D₁₇₂	—	4	3	no	—
167	C₄×D₄₃	—	2	2	no	—
168	C₄×D₄₃	—	2	6	no	—
169	C₄×D₄₃	—	2	6	no	—
170	C₄×D₄₃	—	2	6	no	—
171	C₄×D₄₃	C₂×D₄	1	12	yes	—
172	Dic₈₆	—	2	6	no	—
173	Dic₈₆	—	2	6	no	—
174	Dic₈₆	C₂×D₄	1	12	yes	—
175	C₂²×C₄₃	—	2	3	no	—
176	C₂²×C₄₃	—	2	3	no	—
177	C₂²×C₄₃	—	2	3	no	—
178	C₂²×C₄₃	—	2	3	no	—
179	C₂²×C₄₃	—	2	3	no	—
180	C₂²×C₄₃	—	2	3	no	—
181	C₂²×C₄₃	C₂⁵	1	1	yes	characteristic
182	C₂×D₄₃	—	2	1	no	—
183	C₂×D₄₃	—	2	1	no	—
184	C₂×D₄₃	—	2	3	no	—
185	C₂×D₄₃	—	2	1	no	—
186	C₂×D₄₃	—	2	3	no	—
187	C₂×D₄₃	—	2	3	no	—
188	C₂×D₄₃	—	2	1	no	—
189	C₂×D₄₃	—	2	1	no	—
190	C₂×D₄₃	—	4	12	no	—
191	C₂×D₄₃	C₂²×D₄	1	2	yes	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	2	3	no	—
195	C₄×C₄₃	—	2	1	no	—
196	C₄×C₄₃	C₂²×D₄	1	6	yes	—
197	Dic₄₃	—	2	3	no	—
198	Dic₄₃	—	2	1	no	—
199	Dic₄₃	—	2	1	no	—
200	Dic₄₃	—	2	3	no	—
201	Dic₄₃	C₂²×D₄	1	6	yes	—
202	#3487	—	43	1	no	maximal, Sylow
203	C₂×C₄₃	—	4	3	no	—
204	C₂×C₄₃	—	4	3	no	—
205	C₂×C₄₃	C₂³×D₄	1	1	yes	characteristic
206	C₂×C₄₃	#585	1	1	yes	characteristic
207	C₂×C₄₃	#585	1	1	yes	characteristic
208	D₄₃	—	2	2	no	—
209	D₄₃	—	4	1	no	—
210	D₄₃	—	4	3	no	—
211	C₂×2₋¹⁺⁴	—	43	1	no	—
212	C₂²×#41	—	43	1	no	—
213	#550	—	43	1	no	—
214	#550	—	43	3	no	—
215	#550	—	43	3	no	—
216	#550	D₄₃	1	1	yes	characteristic, complemented
217	#548	—	43	1	no	—
218	#548	—	43	3	no	—
219	#548	—	43	1	no	—
220	#548	—	43	3	no	—
221	#535	—	43	3	no	—
222	#535	—	43	3	no	—
223	#525	—	43	3	no	—
224	#525	—	43	3	no	—
225	#519	—	43	1	no	—
226	C₄₃	#3487	1	1	yes	characteristic, complemented, Sylow
227	2₋¹⁺⁴	—	86	8	no	—
228	C₂×#41	—	43	1	no	—
229	C₂×#41	—	43	3	no	—
230	C₂×#41	—	43	3	no	—
231	C₂×#41	—	43	3	no	—
232	C₂×#41	—	43	3	no	—
233	C₂×#41	—	43	3	no	—
234	C₂×#41	—	86	8	no	—
235	C₂×#41	C₂×D₄₃	1	1	yes	characteristic
236	C₂×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
237	C₂²×Q₈	—	43	1	no	—
238	C₂²×Q₈	—	43	1	no	—
239	C₂²×Q₈	—	43	3	no	—
240	C₂²×D₄	—	43	3	no	—
241	C₂³×C₄	—	43	3	no	—
242	#127	—	43	6	no	—
243	#127	—	43	3	no	—
244	#127	C₂×D₄₃	1	3	yes	complemented
245	#124	—	43	3	no	—
246	#124	—	43	6	no	—
247	#124	—	43	3	no	—
248	#123	—	43	1	no	—
249	#123	—	43	3	no	—
250	C₂²⋊Q₈	—	43	3	no	—
251	C₂²⋊Q₈	—	43	3	no	—
252	C₂²⋊Q₈	—	43	3	no	—
253	C₂²⋊Q₈	—	43	3	no	—
254	#121	—	43	3	no	—
255	#121	—	43	3	no	—
256	#121	—	43	3	no	—
257	#121	—	43	6	no	—
258	#121	—	43	6	no	—
259	#121	—	43	3	no	—
260	#121	—	43	3	no	—
261	#121	—	43	3	no	—
262	#121	C₂×D₄₃	1	3	yes	complemented
263	#121	C₂×D₄₃	1	3	yes	complemented
264	#120	—	43	6	no	—
265	#120	—	43	3	no	—
266	#120	—	43	3	no	—
267	C₄×Q₈	—	43	1	no	—
268	C₄×Q₈	—	43	3	no	—
269	C₄×Q₈	—	43	3	no	—
270	C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
271	C₄×D₄	—	43	6	no	—
272	C₄×D₄	—	43	3	no	—
273	C₄×D₄	—	43	3	no	—
274	C₄×D₄	—	43	6	no	—
275	C₄×D₄	—	43	3	no	—
276	C₄×D₄	C₂×D₄₃	1	3	yes	complemented
277	#117	—	43	3	no	—
278	#117	—	43	3	no	—
279	C₂⁴	—	43	3	no	—
280	#41	—	2	4	no	—
281	#41	—	2	4	no	—
282	#41	—	86	12	no	—
283	#41	—	86	12	no	—
284	#41	—	86	12	no	—
285	#41	—	86	12	no	—
286	#41	—	86	12	no	—
287	#41	—	86	4	no	—
288	C₂×Q₈	—	43	8	no	—
289	C₂×Q₈	—	43	3	no	—
290	C₂×Q₈	—	43	3	no	—
291	C₂×Q₈	—	43	3	no	—
292	C₂×Q₈	—	86	12	no	—
293	C₂×Q₈	—	86	4	no	—
294	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
295	C₂×D₄	—	43	3	no	—
296	C₂×D₄	—	43	6	no	—
297	C₂×D₄	—	43	3	no	—
298	C₂×D₄	—	43	3	no	—
299	C₂×D₄	—	43	6	no	—
300	C₂×D₄	—	43	3	no	—
301	C₂×D₄	—	43	1	no	—
302	C₂×D₄	—	43	3	no	—
303	C₂×D₄	—	43	3	no	—
304	C₂×D₄	—	86	12	no	—
305	C₂×D₄	C₂²×D₄₃	1	3	yes	—
306	C₂×D₄	C₂²×D₄₃	1	3	yes	—
307	C₂×D₄	C₂²×D₄₃	1	6	yes	—
308	C₂×D₄	C₂²×D₄₃	1	3	yes	—
309	C₂²×C₄	—	43	3	no	—
310	C₂²×C₄	—	43	6	no	—
311	C₂²×C₄	—	43	3	no	—
312	C₂²×C₄	—	43	3	no	—
313	C₂²×C₄	—	43	3	no	—
314	C₂²×C₄	—	43	3	no	—
315	C₂²×C₄	—	43	1	no	—
316	C₂²×C₄	—	86	12	no	—
317	C₂²×C₄	C₂²×D₄₃	1	3	yes	—
318	C₂²×C₄	C₂²×D₄₃	1	3	yes	—
319	C₄⋊C₄	—	43	3	no	—
320	C₄⋊C₄	—	43	3	no	—
321	C₄⋊C₄	—	43	3	no	—
322	C₄⋊C₄	—	43	3	no	—
323	C₄⋊C₄	—	43	1	no	—
324	C₄⋊C₄	—	43	3	no	—
325	C₄⋊C₄	C₂²×D₄₃	1	3	yes	—
326	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
327	C₂²⋊C₄	—	43	3	no	—
328	C₂²⋊C₄	—	43	6	no	—
329	C₂²⋊C₄	—	43	3	no	—
330	C₂²⋊C₄	—	43	3	no	—
331	C₂²⋊C₄	—	43	1	no	—
332	C₂²⋊C₄	—	43	1	no	—
333	C₂²⋊C₄	—	43	1	no	—
334	C₂²⋊C₄	—	43	3	no	—
335	C₂²⋊C₄	—	43	6	no	—
336	C₂²⋊C₄	—	43	3	no	—
337	C₂²⋊C₄	C₂²×D₄₃	1	3	yes	—
338	C₂²⋊C₄	C₂²×D₄₃	1	3	yes	—
339	C₄²	—	43	6	no	—
340	C₄²	—	43	3	no	—
341	C₄²	C₂²×D₄₃	1	3	yes	—
342	C₂³	—	43	1	no	—
343	C₂³	—	43	3	no	—
344	C₂³	—	43	1	no	—
345	C₂³	—	86	6	no	—
346	C₂³	—	172	3	no	—
347	C₂³	—	172	3	no	—
348	C₂³	C₂³×D₄₃	1	3	yes	—
349	C₂³	C₂³×D₄₃	1	3	yes	—
350	Q₈	—	43	12	no	—
351	Q₈	—	86	6	no	—
352	Q₈	—	86	6	no	—
353	Q₈	D₄×D₄₃	1	4	yes	—
354	D₄	—	2	6	no	—
355	D₄	—	2	6	no	—
356	D₄	—	4	6	no	—
357	D₄	—	4	3	no	—
358	D₄	—	86	2	no	—
359	D₄	—	86	12	no	—
360	D₄	—	86	6	no	—
361	D₄	—	86	6	no	—
362	D₄	—	86	6	no	—
363	D₄	—	172	3	no	—
364	D₄	—	172	3	no	—
365	D₄	—	172	6	no	—
366	D₄	—	172	3	no	—
367	C₂×C₄	—	2	6	no	—
368	C₂×C₄	—	2	6	no	—
369	C₂×C₄	—	43	3	no	—
370	C₂×C₄	—	43	12	no	—
371	C₂×C₄	—	43	1	no	—
372	C₂×C₄	—	43	3	no	—
373	C₂×C₄	—	43	3	no	—
374	C₂×C₄	—	43	1	no	—
375	C₂×C₄	—	86	6	no	—
376	C₂×C₄	—	86	2	no	—
377	C₂×C₄	—	86	6	no	—
378	C₂×C₄	—	86	12	no	—
379	C₂×C₄	—	86	6	no	—
380	C₂×C₄	—	86	6	no	—
381	C₂×C₄	C₂³×D₄₃	1	3	yes	—
382	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
383	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
384	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
385	C₂×C₄	C₂³×D₄₃	1	3	yes	—
386	C₂²	—	2	3	no	—
387	C₂²	—	2	3	no	—
388	C₂²	—	2	3	no	—
389	C₂²	—	2	3	no	—
390	C₂²	—	2	3	no	—
391	C₂²	—	2	3	no	—
392	C₂²	—	43	2	no	—
393	C₂²	—	86	1	no	—
394	C₂²	—	86	1	no	—
395	C₂²	—	86	1	no	—
396	C₂²	—	86	3	no	—
397	C₂²	—	86	1	no	—
398	C₂²	—	86	3	no	—
399	C₂²	—	86	1	no	—
400	C₂²	—	86	3	no	—
401	C₂²	—	172	12	no	—
402	C₂²	C₂⁴×D₄₃	1	1	yes	characteristic
403	C₄	—	2	1	no	—
404	C₄	—	2	1	no	—
405	C₄	—	2	3	no	—
406	C₄	—	2	1	no	—
407	C₄	—	43	6	no	—
408	C₄	—	86	1	no	—
409	C₄	—	86	3	no	—
410	C₄	—	86	1	no	—
411	C₄	—	86	3	no	—
412	C₄	C₂×D₄×D₄₃	1	6	yes	—
413	C₂	—	4	3	no	—
414	C₂	—	4	3	no	—
415	C₂	—	86	2	no	—
416	C₂	—	172	3	no	—
417	C₂	—	172	1	no	—
418	C₂	C₂²×D₄×D₄₃	1	1	yes	characteristic
419	C₂	#14583734	1	1	yes	characteristic
420	C₂	#14583735	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁵
Fitting	C₄₃×#550	C₂
hypercenter	#550	D₄₃
hypocenter	C₄₃	#3487
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #550

Complements

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

N	H ≅ G/N	type
1. C₂×#13063372	C₂	semidirect
2. C₂×#41×D₄₃	C₂	semidirect
3. #14583569	C₂	semidirect
4. #14583568	C₂	semidirect
5. #14583567	C₂	semidirect
6. #14583561	C₂	semidirect
7. #14583558	C₂	semidirect
8. #14583556	C₂	semidirect
9. #14583555	C₂	semidirect
10. #14583465	C₂	semidirect
11. #14583462	C₂	semidirect
12. #14583409	C₂	semidirect
13. #14583408	C₂	semidirect
14. #14583375	C₂	semidirect
15. C₄₃×#550	C₂	semidirect
22. C₂×#10621900	C₂²	semidirect
24. C₂²×Dic₈₆	C₂²	semidirect
26. C₂×Q₈×D₄₃	C₂²	semidirect
29. #13063321	C₂²	semidirect
30. #13063321	C₂²	semidirect
31. #13063313	C₂²	semidirect
32. #13063312	C₂²	semidirect
33. #13063311	C₂²	semidirect
36. #13063305	C₂²	semidirect
37. #13063304	C₂²	semidirect
38. #13063303	C₂²	semidirect
39. #13063302	C₂²	semidirect
40. #13063300	C₂²	semidirect
41. #13063299	C₂²	semidirect
42. #13063298	C₂²	semidirect
43. #13063297	C₂²	semidirect
44. #13063297	C₂²	semidirect
45. #13063297	C₂²	semidirect
46. #13063296	C₂²	semidirect
47. #13063296	C₂²	semidirect
51. Q₈×Dic₄₃	C₂²	semidirect
52. C₄×Dic₈₆	C₂²	semidirect
53. #13063290	C₂²	semidirect
54. C₄×D₁₇₂	C₂²	semidirect
55. D₄×Dic₄₃	C₂²	semidirect
56. C₄×C₂²⋊D₄₃	C₂²	semidirect
57. C₄×C₂²⋊D₄₃	C₂²	semidirect
58. (C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
62. C₂×#41×C₄₃	C₂²	semidirect
63. #127×C₄₃	C₂²	semidirect
64. #121×C₄₃	C₂²	semidirect
65. #121×C₄₃	C₂²	semidirect
66. C₄×Q₈×C₄₃	C₂²	semidirect
67. C₄×D₄×C₄₃	C₂²	semidirect
88. Q₈×D₄₃	D₄	semidirect
216. #550	D₄₃	semidirect
226. C₄₃	#3487	semidirect
236. C₂×#41	C₂×D₄₃	semidirect
244. #127	C₂×D₄₃	semidirect
262. #121	C₂×D₄₃	semidirect
263. #121	C₂×D₄₃	semidirect
270. C₄×Q₈	C₂×D₄₃	semidirect
276. C₄×D₄	C₂×D₄₃	semidirect