Subgroups — #19148384

Order 5504.

1540 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063373	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#13063371	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583559	C₂	1	4	yes	maximal, complemented
4	#14583541	C₂	1	8	yes	maximal, complemented
5	#14583540	C₂	1	4	yes	maximal, complemented
6	#14583474	C₂	1	2	yes	maximal, complemented
7	#14583468	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583467	C₂	1	2	yes	maximal, complemented
9	#14583450	C₂	1	2	yes	maximal, complemented
10	#14583445	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#13063314	C₂	1	1	yes	maximal, characteristic, complemented
12	#124×D₄₃	C₂	1	2	yes	maximal, complemented
13	#14583367	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
15	#13063373	—	2	8	no	—
16	#13063371	—	2	8	no	—
17	C₂×#10621902	C₂²	1	2	yes	—
18	C₂×#10621902	C₂²	1	2	yes	complemented
19	C₂×#10621902	C₂²	1	2	yes	complemented
20	C₂×#10621898	C₂²	1	2	yes	—
21	C₂×#10621898	C₂²	1	1	yes	characteristic
22	C₂×#10621898	C₂²	1	1	yes	characteristic, complemented
23	C₂×#10621898	C₂²	1	4	yes	complemented
24	C₂×Q₈×D₄₃	C₂²	1	2	yes	complemented
25	C₂×Q₈×D₄₃	C₂²	1	2	yes	complemented
26	C₂²×D₁₇₂	C₂²	1	1	yes	characteristic
27	C₂²×D₁₇₂	C₂²	1	2	yes	—
28	C₂×D₄×D₄₃	C₂²	1	2	yes	—
29	C₂×D₄×D₄₃	C₂²	1	4	yes	—
30	#13063323	C₂²	1	1	yes	characteristic, complemented
31	#13063322	C₂²	1	2	yes	complemented
32	#13063321	C₂²	1	1	yes	characteristic, complemented
33	#13063314	C₂²	1	4	yes	complemented
34	#13063314	C₂²	1	2	yes	complemented
35	#13063314	C₂²	1	2	yes	complemented
36	#13063314	C₂²	1	1	yes	characteristic, complemented
37	#13063313	C₂²	1	2	yes	complemented
38	#13063312	C₂²	1	1	yes	characteristic, complemented
39	#13063311	C₂²	1	8	yes	complemented
40	#13063310	C₂²	1	8	yes	complemented
41	#13063303	C₂²	1	8	yes	complemented
42	#13063300	C₂²	1	4	yes	complemented
43	#13063300	C₂²	1	8	yes	complemented
44	#13063298	C₂²	1	8	yes	complemented
45	#13063297	C₂²	1	4	yes	complemented
46	#13063295	C₂²	1	8	yes	complemented
47	#13063295	C₂²	1	4	yes	complemented
48	#13063290	C₂²	1	2	yes	complemented
49	#13063287	C₂²	1	8	yes	complemented
50	#13063287	C₂²	1	2	yes	complemented
51	C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
52	(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
53	#13063282	C₂²	1	2	yes	complemented
54	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	4	yes	complemented
55	C₂²⋊C₄×D₄₃	C₂²	1	8	yes	complemented
56	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
57	C₄²×D₄₃	C₂²	1	2	yes	complemented
58	C₂×#41×C₄₃	C₂²	1	1	yes	characteristic
59	C₂²×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
60	C₄⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
61	#124×C₄₃	C₂²	1	2	yes	complemented
62	#123×C₄₃	C₂²	1	4	yes	complemented
63	C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
64	#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
65	C₂³×D₄₃	C₂³	1	4	yes	—
66	C₂³×D₄₃	C₂³	1	2	yes	—
67	#41×C₄₃	—	2	4	no	—
68	C₂×Q₈×C₄₃	—	2	4	no	—
69	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
70	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
71	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
72	C₂×D₄×C₄₃	C₂³	1	2	yes	—
73	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
75	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
76	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
77	C₂×C₂²⋊D₄₃	C₂³	1	2	yes	—
78	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
79	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
80	C₂×C₂²⋊D₄₃	C₂³	1	2	yes	—
81	C₂²×Dic₄₃	C₂³	1	2	yes	—
82	#10621902	—	2	8	no	—
83	#10621902	—	2	8	no	—
84	#10621902	—	2	8	no	—
85	Q₈×D₄₃	—	2	8	no	—
86	Q₈×D₄₃	—	2	8	no	—
87	D₄×D₄₃	—	2	16	no	—
88	D₄×D₄₃	—	2	8	no	—
89	#10621898	—	2	4	no	—
90	#10621898	—	2	16	no	—
91	#10621898	—	2	8	no	—
92	#10621898	D₄	1	8	yes	complemented
93	C₂×D₁₇₂	—	2	4	no	—
94	C₂×D₁₇₂	—	2	8	no	—
95	C₂×D₁₇₂	C₂³	1	4	yes	—
96	C₂×D₁₇₂	C₂³	1	4	yes	—
97	C₂×D₁₇₂	C₂³	1	2	yes	—
98	C₂×D₁₇₂	C₂³	1	2	yes	—
99	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
100	C₂×D₁₇₂	C₂³	1	8	yes	—
101	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
102	C₂×C₄×D₄₃	C₂³	1	4	yes	—
103	C₂×C₄×D₄₃	C₂³	1	2	yes	—
104	C₂×C₄×D₄₃	C₂³	1	4	yes	—
105	C₂×C₄×D₄₃	C₂³	1	4	yes	—
106	C₂×C₄×D₄₃	C₂³	1	4	yes	—
107	C₂×C₄×D₄₃	C₂³	1	2	yes	—
108	C₂×Dic₈₆	C₂³	1	4	yes	—
109	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
110	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
111	C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
112	C₄⋊C₄×C₄₃	C₂³	1	8	yes	—
113	C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
114	C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
115	C₄²×C₄₃	C₂³	1	2	yes	—
116	C₂²⋊Dic₄₃	C₂³	1	4	yes	—
117	(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
118	(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
119	(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
120	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
121	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
122	Dic₄₃⋊C₄	C₂³	1	4	yes	—
123	Dic₄₃⋊C₄	C₂³	1	4	yes	—
124	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
125	C₄×Dic₄₃	C₂³	1	4	yes	—
126	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
127	C₄×Dic₄₃	C₂³	1	2	yes	—
128	C₂³×C₄₃	C₂⁴	1	2	yes	—
129	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
130	C₂²×D₄₃	—	2	4	no	—
131	C₂²×D₄₃	—	2	8	no	—
132	C₂²×D₄₃	—	4	8	no	—
133	C₂²×D₄₃	—	4	4	no	—
134	C₂²×D₄₃	C₂⁴	1	4	yes	—
135	C₂²×D₄₃	C₂⁴	1	2	yes	—
136	C₂²×D₄₃	C₂⁴	1	2	yes	—
137	Q₈×C₄₃	—	2	4	no	—
138	Q₈×C₄₃	—	2	4	no	—
139	Q₈×C₄₃	—	2	2	no	—
140	D₄×C₄₃	—	2	4	no	—
141	D₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	2	4	no	—
143	C₂×C₄×C₄₃	—	2	4	no	—
144	C₂×C₄×C₄₃	C₂×D₄	1	4	yes	—
145	C₂×C₄×C₄₃	C₂⁴	1	4	yes	—
146	C₂×C₄×C₄₃	C₂⁴	1	2	yes	—
147	C₂×C₄×C₄₃	C₂⁴	1	4	yes	—
148	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
150	C₂²⋊D₄₃	—	2	4	no	—
151	C₂²⋊D₄₃	—	2	8	no	—
152	C₂²⋊D₄₃	—	4	4	no	—
153	C₂²⋊D₄₃	C₂×D₄	1	8	yes	—
154	C₂×Dic₄₃	—	4	2	no	—
155	C₂×Dic₄₃	C₂⁴	1	2	yes	—
156	C₂×Dic₄₃	C₂⁴	1	2	yes	—
157	C₂×Dic₄₃	C₂⁴	1	2	yes	—
158	C₂×Dic₄₃	C₂⁴	1	2	yes	—
159	D₁₇₂	—	2	8	no	—
160	D₁₇₂	—	2	8	no	—
161	D₁₇₂	—	2	4	no	—
162	D₁₇₂	—	2	4	no	—
163	D₁₇₂	—	2	2	no	—
164	D₁₇₂	—	4	8	no	—
165	D₁₇₂	C₂×D₄	1	4	yes	—
166	C₄×D₄₃	—	2	8	no	—
167	C₄×D₄₃	—	2	4	no	—
168	C₄×D₄₃	—	2	8	no	—
169	C₄×D₄₃	—	2	8	no	—
170	C₄×D₄₃	—	4	4	no	—
171	C₄×D₄₃	C₂×D₄	1	8	yes	—
172	Dic₈₆	—	2	2	no	—
173	Dic₈₆	—	2	8	no	—
174	Dic₈₆	C₂×D₄	1	4	yes	—
175	C₂²×C₄₃	—	2	2	no	—
176	C₂²×C₄₃	—	2	2	no	—
177	C₂²×C₄₃	—	2	4	no	—
178	C₂²×C₄₃	C₂²×D₄	1	2	yes	—
179	C₂²×C₄₃	C₂⁵	1	1	yes	characteristic
180	C₂×D₄₃	—	2	4	no	—
181	C₂×D₄₃	—	2	4	no	—
182	C₂×D₄₃	—	2	2	no	—
183	C₂×D₄₃	—	2	8	no	—
184	C₂×D₄₃	—	2	4	no	—
185	C₂×D₄₃	—	8	8	no	—
186	C₂×D₄₃	—	8	4	no	—
187	C₂×D₄₃	C₂²×D₄	1	4	yes	—
188	C₄×C₄₃	—	2	4	no	—
189	C₄×C₄₃	—	2	2	no	—
190	C₄×C₄₃	—	2	4	no	—
191	C₄×C₄₃	C₂²×D₄	1	2	yes	—
192	C₄×C₄₃	C₂²×D₄	1	2	yes	—
193	Dic₄₃	—	2	2	no	—
194	Dic₄₃	—	2	2	no	—
195	Dic₄₃	—	2	2	no	—
196	Dic₄₃	C₂²×D₄	1	4	yes	—
197	#3500	—	43	1	no	maximal, Sylow
198	C₂×C₄₃	—	2	2	no	—
199	C₂×C₄₃	—	4	2	no	—
200	C₂×C₄₃	C₂³×D₄	1	1	yes	characteristic
201	C₂×C₄₃	#585	1	2	yes	—
202	D₄₃	—	2	4	no	—
203	D₄₃	—	4	2	no	—
204	D₄₃	—	4	4	no	—
205	C₂×2₋¹⁺⁴	—	43	1	no	—
206	C₂×H(5,𝔽₂)	—	43	1	no	—
207	#548	—	43	4	no	—
208	#546	—	43	8	no	—
209	#546	—	43	4	no	—
210	#536	—	43	2	no	—
211	#536	D₄₃	1	1	yes	characteristic, complemented
212	#535	—	43	2	no	—
213	#535	—	43	1	no	—
214	#532	—	43	1	no	—
215	#532	—	43	2	no	—
216	C₂×#124	—	43	1	no	—
217	C₂×#124	—	43	2	no	—
218	C₄×#41	—	43	1	no	—
219	C₄₃	#3500	1	1	yes	characteristic, complemented, Sylow
220	2₋¹⁺⁴	—	86	8	no	—
221	H(5,𝔽₂)	—	86	8	no	—
222	C₂×#41	—	43	2	no	—
223	C₂×#41	—	43	2	no	—
224	C₂×#41	—	43	2	no	—
225	C₂×#41	—	43	1	no	—
226	C₂×#41	—	43	1	no	—
227	C₂×#41	—	43	4	no	—
228	C₂×#41	—	43	2	no	—
229	C₂×#41	C₂×D₄₃	1	1	yes	characteristic
230	C₂²×Q₈	—	43	2	no	—
231	C₂²×Q₈	—	43	2	no	—
232	C₂²×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
233	C₂²×D₄	—	43	2	no	—
234	C₂²×D₄	—	43	4	no	—
235	C₂²×D₄	—	43	1	no	—
236	C₂²×D₄	—	43	2	no	—
237	C₄⋊Q₈	—	43	1	no	—
238	C₄⋊Q₈	C₂×D₄₃	1	2	yes	complemented
239	#127	—	43	1	no	—
240	#127	—	43	2	no	—
241	#124	—	43	2	no	—
242	#124	—	43	2	no	—
243	#124	—	43	4	no	—
244	#124	—	43	1	no	—
245	#124	—	43	1	no	—
246	#124	—	43	8	no	—
247	#124	—	43	2	no	—
248	#124	C₂×D₄₃	1	2	yes	complemented
249	#123	—	43	8	no	—
250	#123	C₂×D₄₃	1	4	yes	complemented
251	C₂²⋊Q₈	—	43	8	no	—
252	C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
253	#121	—	43	4	no	—
254	#121	—	43	8	no	—
255	#121	—	43	4	no	—
256	#121	—	43	8	no	—
257	#120	—	43	4	no	—
258	#120	—	43	8	no	—
259	C₄×Q₈	—	43	2	no	—
260	C₄×D₄	—	43	4	no	—
261	C₄×D₄	—	43	2	no	—
262	C₄×D₄	—	43	8	no	—
263	C₄×D₄	—	43	4	no	—
264	#117	—	43	2	no	—
265	#117	C₂×D₄₃	1	1	yes	characteristic, complemented
266	C₂×C₂²⋊C₄	—	43	4	no	—
267	C₂×C₂²⋊C₄	—	43	8	no	—
268	C₂×C₄²	—	43	1	no	—
269	C₂×C₄²	—	43	2	no	—
270	C₂⁴	—	43	4	no	—
271	C₂⁴	—	43	2	no	—
272	#41	—	2	4	no	—
273	#41	—	43	8	no	—
274	#41	—	86	16	no	—
275	#41	—	86	8	no	—
276	#41	—	86	8	no	—
277	#41	—	86	8	no	—
278	#41	—	86	8	no	—
279	#41	—	86	4	no	—
280	C₂×Q₈	—	2	4	no	—
281	C₂×Q₈	—	43	1	no	—
282	C₂×Q₈	—	43	4	no	—
283	C₂×Q₈	—	43	1	no	—
284	C₂×Q₈	—	86	8	no	—
285	C₂×Q₈	—	86	8	no	—
286	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
287	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
288	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
289	C₂×D₄	—	43	2	no	—
290	C₂×D₄	—	43	2	no	—
291	C₂×D₄	—	43	4	no	—
292	C₂×D₄	—	43	4	no	—
293	C₂×D₄	—	43	1	no	—
294	C₂×D₄	—	43	4	no	—
295	C₂×D₄	—	43	4	no	—
296	C₂×D₄	—	43	2	no	—
297	C₂×D₄	—	43	2	no	—
298	C₂×D₄	—	43	1	no	—
299	C₂×D₄	—	43	8	no	—
300	C₂×D₄	—	86	8	no	—
301	C₂×D₄	—	86	8	no	—
302	C₂×D₄	—	86	16	no	—
303	C₂×D₄	—	86	4	no	—
304	C₂×D₄	C₂²×D₄₃	1	2	yes	—
305	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
306	C₂²×C₄	—	43	2	no	—
307	C₂²×C₄	—	43	2	no	—
308	C₂²×C₄	—	43	4	no	—
309	C₂²×C₄	—	43	4	no	—
310	C₂²×C₄	—	43	2	no	—
311	C₂²×C₄	—	43	4	no	—
312	C₂²×C₄	—	43	4	no	—
313	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
314	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
315	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
316	C₄⋊C₄	—	43	4	no	—
317	C₄⋊C₄	—	43	4	no	—
318	C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
319	C₄⋊C₄	C₂²×D₄₃	1	8	yes	—
320	C₂²⋊C₄	—	43	4	no	—
321	C₂²⋊C₄	—	43	8	no	—
322	C₂²⋊C₄	—	43	8	no	—
323	C₂²⋊C₄	—	43	8	no	—
324	C₂²⋊C₄	—	43	4	no	—
325	C₂²⋊C₄	—	43	4	no	—
326	C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
327	C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
328	C₄²	—	43	1	no	—
329	C₄²	—	43	1	no	—
330	C₄²	—	43	4	no	—
331	C₄²	—	43	2	no	—
332	C₄²	C₂²×D₄₃	1	2	yes	—
333	C₂³	—	43	2	no	—
334	C₂³	—	43	4	no	—
335	C₂³	—	43	2	no	—
336	C₂³	—	86	8	no	—
337	C₂³	—	86	4	no	—
338	C₂³	—	172	4	no	—
339	C₂³	—	172	8	no	—
340	C₂³	C₂³×D₄₃	1	2	yes	—
341	C₂³	C₂³×D₄₃	1	1	yes	characteristic
342	Q₈	—	2	4	no	—
343	Q₈	—	2	4	no	—
344	Q₈	—	2	2	no	—
345	Q₈	—	43	4	no	—
346	Q₈	—	86	8	no	—
347	Q₈	—	86	2	no	—
348	D₄	—	2	4	no	—
349	D₄	—	2	2	no	—
350	D₄	—	43	8	no	—
351	D₄	—	43	4	no	—
352	D₄	—	86	8	no	—
353	D₄	—	86	8	no	—
354	D₄	—	86	8	no	—
355	D₄	—	86	4	no	—
356	D₄	—	86	4	no	—
357	D₄	—	86	4	no	—
358	D₄	—	86	2	no	—
359	D₄	—	172	8	no	—
360	D₄	—	172	4	no	—
361	C₂×C₄	—	2	4	no	—
362	C₂×C₄	—	2	4	no	—
363	C₂×C₄	—	43	2	no	—
364	C₂×C₄	—	43	8	no	—
365	C₂×C₄	—	43	2	no	—
366	C₂×C₄	—	43	2	no	—
367	C₂×C₄	—	43	2	no	—
368	C₂×C₄	—	86	8	no	—
369	C₂×C₄	—	86	8	no	—
370	C₂×C₄	—	86	8	no	—
371	C₂×C₄	—	86	4	no	—
372	C₂×C₄	—	172	4	no	—
373	C₂×C₄	—	172	2	no	—
374	C₂×C₄	D₄×D₄₃	1	4	yes	—
375	C₂×C₄	C₂³×D₄₃	1	4	yes	—
376	C₂×C₄	C₂³×D₄₃	1	4	yes	—
377	C₂×C₄	C₂³×D₄₃	1	2	yes	—
378	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
379	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
380	C₂²	—	2	2	no	—
381	C₂²	—	2	2	no	—
382	C₂²	—	2	4	no	—
383	C₂²	—	43	4	no	—
384	C₂²	—	86	4	no	—
385	C₂²	—	86	2	no	—
386	C₂²	—	86	4	no	—
387	C₂²	—	86	4	no	—
388	C₂²	—	86	8	no	—
389	C₂²	—	344	4	no	—
390	C₂²	—	344	8	no	—
391	C₂²	C₂×D₄×D₄₃	1	2	yes	—
392	C₂²	C₂⁴×D₄₃	1	1	yes	characteristic
393	C₄	—	2	2	no	—
394	C₄	—	2	4	no	—
395	C₄	—	2	4	no	—
396	C₄	—	43	4	no	—
397	C₄	—	86	2	no	—
398	C₄	—	86	2	no	—
399	C₄	—	86	2	no	—
400	C₄	C₂×D₄×D₄₃	1	2	yes	—
401	C₄	C₂×D₄×D₄₃	1	2	yes	—
402	C₂	—	2	2	no	—
403	C₂	—	4	2	no	—
404	C₂	—	86	4	no	—
405	C₂	—	172	4	no	—
406	C₂	—	172	2	no	—
407	C₂	C₂²×D₄×D₄₃	1	1	yes	characteristic
408	C₂	#14583736	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁵
Fitting	C₄₃×#536	C₂
hypercenter	#536	D₄₃
hypocenter	C₄₃	#3500
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #536

Complements

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

N	H ≅ G/N	type
1. C₂×#13063373	C₂	semidirect
2. C₂×#13063371	C₂	semidirect
3. #14583559	C₂	semidirect
4. #14583541	C₂	semidirect
5. #14583540	C₂	semidirect
6. #14583474	C₂	semidirect
7. #14583468	C₂	semidirect
8. #14583467	C₂	semidirect
9. #14583450	C₂	semidirect
10. #14583445	C₂	semidirect
11. C₂×#13063314	C₂	semidirect
12. #124×D₄₃	C₂	semidirect
13. #14583367	C₂	semidirect
14. C₄₃×#536	C₂	semidirect
18. C₂×#10621902	C₂²	semidirect
19. C₂×#10621902	C₂²	semidirect
22. C₂×#10621898	C₂²	semidirect
23. C₂×#10621898	C₂²	semidirect
24. C₂×Q₈×D₄₃	C₂²	semidirect
25. C₂×Q₈×D₄₃	C₂²	semidirect
30. #13063323	C₂²	semidirect
31. #13063322	C₂²	semidirect
32. #13063321	C₂²	semidirect
33. #13063314	C₂²	semidirect
34. #13063314	C₂²	semidirect
35. #13063314	C₂²	semidirect
36. #13063314	C₂²	semidirect
37. #13063313	C₂²	semidirect
38. #13063312	C₂²	semidirect
39. #13063311	C₂²	semidirect
40. #13063310	C₂²	semidirect
41. #13063303	C₂²	semidirect
42. #13063300	C₂²	semidirect
43. #13063300	C₂²	semidirect
44. #13063298	C₂²	semidirect
45. #13063297	C₂²	semidirect
46. #13063295	C₂²	semidirect
47. #13063295	C₂²	semidirect
48. #13063290	C₂²	semidirect
49. #13063287	C₂²	semidirect
50. #13063287	C₂²	semidirect
51. C₄×C₂²⋊D₄₃	C₂²	semidirect
52. (C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
53. #13063282	C₂²	semidirect
54. C₂×(C₂×D₄₃)⋊C₄	C₂²	semidirect
55. C₂²⋊C₄×D₄₃	C₂²	semidirect
56. C₂×C₄×Dic₄₃	C₂²	semidirect
57. C₄²×D₄₃	C₂²	semidirect
59. C₂²×Q₈×C₄₃	C₂²	semidirect
60. C₄⋊Q₈×C₄₃	C₂²	semidirect
61. #124×C₄₃	C₂²	semidirect
62. #123×C₄₃	C₂²	semidirect
63. C₂²⋊Q₈×C₄₃	C₂²	semidirect
64. #117×C₄₃	C₂²	semidirect
92. #10621898	D₄	semidirect
211. #536	D₄₃	semidirect
219. C₄₃	#3500	semidirect
232. C₂²×Q₈	C₂×D₄₃	semidirect
238. C₄⋊Q₈	C₂×D₄₃	semidirect
248. #124	C₂×D₄₃	semidirect
250. #123	C₂×D₄₃	semidirect
252. C₂²⋊Q₈	C₂×D₄₃	semidirect
265. #117	C₂×D₄₃	semidirect