Subgroups — #19148467

Order 5504.

1232 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14583633	C₂	1	4	yes	maximal, complemented
2	#14583567	C₂	1	4	yes	maximal, complemented
3	#14583541	C₂	1	4	yes	maximal, complemented
4	#14583538	C₂	1	4	yes	maximal, complemented
5	#14583505	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583504	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583503	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583465	C₂	1	2	yes	maximal, complemented
9	#14583455	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583446	C₂	1	2	yes	maximal, complemented
11	#14583444	C₂	1	2	yes	maximal, complemented
12	#127×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583371	C₂	1	2	yes	maximal, complemented
14	#14583367	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621898	C₂²	1	1	yes	characteristic
17	C₂×#10621898	C₂²	1	4	yes	complemented
18	C₂×#10621900	C₂²	1	4	yes	complemented
19	C₂×D₄×D₄₃	C₂²	1	2	yes	—
20	C₂×D₄×D₄₃	C₂²	1	4	yes	—
21	#13063324	C₂²	1	2	yes	complemented
22	#13063322	C₂²	1	1	yes	characteristic
23	#13063321	C₂²	1	4	yes	—
24	#13063321	C₂²	1	2	yes	—
25	#13063321	C₂²	1	4	yes	complemented
26	#13063317	C₂²	1	1	yes	characteristic, complemented
27	#13063311	C₂²	1	4	yes	complemented
28	#13063311	C₂²	1	4	yes	complemented
29	#13063311	C₂²	1	4	yes	complemented
30	#13063310	C₂²	1	4	yes	complemented
31	#13063310	C₂²	1	4	yes	complemented
32	#13063306	C₂²	1	4	yes	complemented
33	#13063303	C₂²	1	4	yes	—
34	#13063300	C₂²	1	4	yes	complemented
35	#13063300	C₂²	1	2	yes	complemented
36	#13063299	C₂²	1	2	yes	complemented
37	#13063298	C₂²	1	4	yes	complemented
38	#13063298	C₂²	1	4	yes	complemented
39	#13063297	C₂²	1	4	yes	complemented
40	#13063297	C₂²	1	4	yes	complemented
41	#13063296	C₂²	1	2	yes	complemented
42	#13063295	C₂²	1	4	yes	—
43	#13063293	C₂²	1	4	yes	—
44	#13063290	C₂²	1	4	yes	complemented
45	#13063290	C₂²	1	2	yes	complemented
46	C₄×D₁₇₂	C₂²	1	2	yes	complemented
47	D₄×Dic₄₃	C₂²	1	2	yes	complemented
48	#13063287	C₂²	1	2	yes	—
49	#13063287	C₂²	1	2	yes	complemented
50	C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
51	C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
52	(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
53	(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
54	(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
55	(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
56	#13063283	C₂²	1	2	yes	—
57	#13063282	C₂²	1	1	yes	characteristic
58	#13063282	C₂²	1	1	yes	characteristic, complemented
59	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	4	yes	—
60	C₂²⋊C₄×D₄₃	C₂²	1	4	yes	—
61	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
62	C₄²×D₄₃	C₂²	1	1	yes	characteristic
63	C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
64	#127×C₄₃	C₂²	1	1	yes	characteristic
65	#125×C₄₃	C₂²	1	1	yes	characteristic, complemented
66	#123×C₄₃	C₂²	1	4	yes	complemented
67	#121×C₄₃	C₂²	1	4	yes	complemented
68	#121×C₄₃	C₂²	1	2	yes	complemented
69	C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
70	#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
71	C₂³×D₄₃	C₂³	1	4	yes	—
72	C₂×D₄×C₄₃	C₂³	1	2	yes	—
73	C₂×D₄×C₄₃	C₂³	1	4	yes	—
74	C₂×D₄×C₄₃	C₂³	1	4	yes	—
75	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
76	C₂²×C₄×C₄₃	C₂³	1	4	yes	—
77	C₂×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
78	C₂×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
79	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
80	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
81	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
83	C₂×C₂²⋊D₄₃	C₂³	1	4	yes	—
84	C₂²×Dic₄₃	C₂³	1	2	yes	—
85	C₂²×Dic₄₃	C₂³	1	4	yes	—
86	#10621900	—	4	8	no	—
87	D₄×D₄₃	—	2	8	no	—
88	D₄×D₄₃	—	4	8	no	—
89	#10621898	—	2	4	no	—
90	#10621898	—	4	8	no	—
91	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
92	C₂×D₁₇₂	C₂³	1	2	yes	—
93	C₂×D₁₇₂	C₂³	1	4	yes	—
94	C₂×D₁₇₂	C₂³	1	4	yes	—
95	C₂×C₄×D₄₃	C₂³	1	2	yes	—
96	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
97	C₂×C₄×D₄₃	C₂³	1	2	yes	—
98	C₂×C₄×D₄₃	C₂³	1	4	yes	—
99	C₂×C₄×D₄₃	C₂³	1	4	yes	—
100	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
101	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
102	C₂×Dic₈₆	C₂³	1	4	yes	—
103	C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
104	C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
105	C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
106	C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
107	C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
108	C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
109	C₄²×C₄₃	C₂³	1	1	yes	characteristic
110	C₄²×C₄₃	C₂³	1	1	yes	characteristic
111	C₂²⋊Dic₄₃	C₂³	1	4	yes	—
112	C₂²⋊Dic₄₃	C₂³	1	4	yes	—
113	(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
114	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
115	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
116	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
117	(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
118	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
119	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
120	C₄⋊Dic₄₃	C₂³	1	2	yes	—
121	Dic₄₃⋊C₄	C₂³	1	2	yes	—
122	Dic₄₃⋊C₄	C₂³	1	2	yes	—
123	Dic₄₃⋊C₄	C₂³	1	4	yes	—
124	Dic₄₃⋊C₄	C₂³	1	4	yes	—
125	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
126	C₄×Dic₄₃	C₂³	1	2	yes	—
127	C₄×Dic₄₃	C₂³	1	2	yes	—
128	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
129	C₄×Dic₄₃	C₂³	1	2	yes	—
130	C₄×Dic₄₃	C₂³	1	4	yes	—
131	C₂³×C₄₃	C₂⁴	1	4	yes	—
132	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
133	C₂²×D₄₃	—	2	8	no	—
134	C₂²×D₄₃	—	4	4	no	—
135	C₂²×D₄₃	—	4	4	no	—
136	C₂²×D₄₃	C₂⁴	1	4	yes	—
137	C₂²×D₄₃	C₂⁴	1	1	yes	characteristic
138	C₂²×D₄₃	C₂⁴	1	1	yes	characteristic
139	D₄×C₄₃	—	2	4	no	—
140	D₄×C₄₃	—	4	4	no	—
141	D₄×C₄₃	—	4	4	no	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	4	4	no	—
144	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
145	C₂×C₄×C₄₃	C₂⁴	1	2	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	C₂²⋊D₄₃	—	2	2	no	—
150	C₂²⋊D₄₃	—	2	2	no	—
151	C₂²⋊D₄₃	—	2	8	no	—
152	C₂²⋊D₄₃	—	2	8	no	—
153	C₂²⋊D₄₃	—	2	8	no	—
154	C₂²⋊D₄₃	—	4	4	no	—
155	C₂²⋊D₄₃	—	4	4	no	—
156	C₂×Dic₄₃	—	2	4	no	—
157	C₂×Dic₄₃	—	4	4	no	—
158	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
159	C₂×Dic₄₃	C₂⁴	1	2	yes	—
160	C₂×Dic₄₃	C₂⁴	1	4	yes	—
161	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
162	C₂×Dic₄₃	C₂⁴	1	2	yes	—
163	D₁₇₂	—	2	2	no	—
164	D₁₇₂	—	2	4	no	—
165	D₁₇₂	—	4	4	no	—
166	D₁₇₂	—	4	4	no	—
167	C₄×D₄₃	—	2	2	no	—
168	C₄×D₄₃	—	2	4	no	—
169	C₄×D₄₃	—	2	4	no	—
170	C₄×D₄₃	—	4	4	no	—
171	C₄×D₄₃	—	4	4	no	—
172	C₄×D₄₃	#41	1	4	yes	complemented
173	Dic₈₆	—	2	2	no	—
174	Dic₈₆	—	2	8	no	—
175	C₂²×C₄₃	—	2	4	no	—
176	C₂²×C₄₃	—	2	1	no	—
177	C₂²×C₄₃	—	2	4	no	—
178	C₂²×C₄₃	—	2	4	no	—
179	C₂²×C₄₃	—	2	2	no	—
180	C₂²×C₄₃	C₂⁵	1	1	yes	characteristic
181	C₂×D₄₃	—	2	2	no	—
182	C₂×D₄₃	—	2	4	no	—
183	C₂×D₄₃	—	2	1	no	—
184	C₂×D₄₃	—	2	4	no	—
185	C₂×D₄₃	—	2	4	no	—
186	C₂×D₄₃	—	2	2	no	—
187	C₂×D₄₃	—	8	8	no	—
188	C₂×D₄₃	C₂×#41	1	2	yes	—
189	C₄×C₄₃	—	2	1	no	—
190	C₄×C₄₃	—	2	4	no	—
191	C₄×C₄₃	—	2	2	no	—
192	C₄×C₄₃	—	2	2	no	—
193	C₄×C₄₃	C₂×#41	1	2	yes	—
194	Dic₄₃	—	2	1	no	—
195	Dic₄₃	—	2	4	no	—
196	Dic₄₃	—	2	2	no	—
197	Dic₄₃	C₂×#41	1	2	yes	—
198	Dic₄₃	H(5,𝔽₂)	1	4	yes	—
199	#3508	—	43	1	no	maximal, Sylow
200	C₂×C₄₃	—	4	4	no	—
201	C₂×C₄₃	—	4	1	no	—
202	C₂×C₄₃	C₂²×#41	1	1	yes	characteristic
203	C₂×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
204	D₄₃	—	2	2	no	—
205	D₄₃	—	4	1	no	—
206	D₄₃	—	4	4	no	—
207	#559	—	43	4	no	—
208	#550	—	43	4	no	—
209	#546	—	43	4	no	—
210	#546	—	43	4	no	—
211	#540	—	43	1	no	—
212	#540	—	43	1	no	—
213	#540	—	43	1	no	—
214	#540	D₄₃	1	1	yes	characteristic, complemented
215	#535	—	43	2	no	—
216	#533	—	43	1	no	—
217	#532	—	43	2	no	—
218	#532	—	43	2	no	—
219	C₂×#127	—	43	1	no	—
220	#518	—	43	2	no	—
221	C₄×#41	—	43	1	no	—
222	C₄₃	#3508	1	1	yes	characteristic, complemented, Sylow
223	C₂×#41	—	43	4	no	—
224	C₂×#41	—	43	1	no	—
225	C₂×#41	—	43	4	no	—
226	C₂²×D₄	—	43	2	no	—
227	C₂²×D₄	—	43	4	no	—
228	C₄⋊Q₈	—	43	2	no	—
229	#127	—	43	2	no	—
230	#127	—	43	4	no	—
231	#127	—	43	4	no	—
232	#127	—	43	1	no	—
233	#127	C₂×D₄₃	1	1	yes	characteristic
234	#125	—	43	1	no	—
235	#125	C₂×D₄₃	1	1	yes	characteristic, complemented
236	#124	—	43	4	no	—
237	#124	—	43	4	no	—
238	#124	—	43	4	no	—
239	#123	—	43	4	no	—
240	#123	—	43	4	no	—
241	#123	—	43	4	no	—
242	#123	C₂×D₄₃	1	4	yes	complemented
243	C₂²⋊Q₈	—	43	4	no	—
244	#121	—	43	2	no	—
245	#121	—	43	4	no	—
246	#121	—	43	4	no	—
247	#121	—	43	2	no	—
248	#121	—	43	2	no	—
249	#121	—	43	4	no	—
250	#121	—	43	4	no	—
251	#121	—	43	4	no	—
252	#121	C₂×D₄₃	1	2	yes	complemented
253	#121	C₂×D₄₃	1	4	yes	complemented
254	#120	—	43	4	no	—
255	#120	—	43	4	no	—
256	C₄×Q₈	—	43	2	no	—
257	C₄×Q₈	—	43	4	no	—
258	C₄×D₄	—	43	2	no	—
259	C₄×D₄	—	43	4	no	—
260	C₄×D₄	—	43	4	no	—
261	C₄×D₄	—	43	2	no	—
262	C₄×D₄	—	43	2	no	—
263	C₄×D₄	—	43	2	no	—
264	C₄×D₄	—	43	2	no	—
265	C₄×D₄	—	43	4	no	—
266	C₄×D₄	—	43	4	no	—
267	C₄×D₄	—	43	2	no	—
268	C₄×D₄	C₂×D₄₃	1	2	yes	complemented
269	#117	—	43	2	no	—
270	#117	—	43	1	no	—
271	#117	—	43	1	no	—
272	#117	C₂×D₄₃	1	1	yes	characteristic, complemented
273	C₂×C₂²⋊C₄	—	43	4	no	—
274	C₂×C₂²⋊C₄	—	43	4	no	—
275	C₂×C₄²	—	43	1	no	—
276	C₂×C₄²	—	43	1	no	—
277	C₂×C₄²	—	43	1	no	—
278	C₂⁴	—	43	4	no	—
279	#41	—	86	4	no	—
280	#41	—	172	8	no	—
281	#41	—	172	8	no	—
282	C₂×Q₈	—	43	1	no	—
283	C₂×Q₈	—	43	4	no	—
284	C₂×D₄	—	43	1	no	—
285	C₂×D₄	—	43	4	no	—
286	C₂×D₄	—	43	1	no	—
287	C₂×D₄	—	43	4	no	—
288	C₂×D₄	—	43	4	no	—
289	C₂×D₄	—	43	4	no	—
290	C₂×D₄	—	43	4	no	—
291	C₂×D₄	—	43	1	no	—
292	C₂×D₄	—	43	2	no	—
293	C₂×D₄	—	43	4	no	—
294	C₂×D₄	—	43	4	no	—
295	C₂×D₄	—	86	8	no	—
296	C₂×D₄	—	172	8	no	—
297	C₂×D₄	C₂²×D₄₃	1	2	yes	—
298	C₂×D₄	C₂²×D₄₃	1	4	yes	—
299	C₂×D₄	C₂²×D₄₃	1	4	yes	—
300	C₂²×C₄	—	43	1	no	—
301	C₂²×C₄	—	43	2	no	—
302	C₂²×C₄	—	43	4	no	—
303	C₂²×C₄	—	43	1	no	—
304	C₂²×C₄	—	43	2	no	—
305	C₂²×C₄	—	43	2	no	—
306	C₂²×C₄	—	43	4	no	—
307	C₂²×C₄	—	43	4	no	—
308	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
309	C₂²×C₄	C₂²×D₄₃	1	4	yes	—
310	C₄⋊C₄	—	43	2	no	—
311	C₄⋊C₄	—	43	2	no	—
312	C₄⋊C₄	—	43	2	no	—
313	C₄⋊C₄	—	43	4	no	—
314	C₄⋊C₄	—	43	4	no	—
315	C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
316	C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
317	C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
318	C₂²⋊C₄	—	43	4	no	—
319	C₂²⋊C₄	—	43	4	no	—
320	C₂²⋊C₄	—	43	2	no	—
321	C₂²⋊C₄	—	43	4	no	—
322	C₂²⋊C₄	—	43	4	no	—
323	C₂²⋊C₄	—	43	4	no	—
324	C₂²⋊C₄	—	43	2	no	—
325	C₂²⋊C₄	—	43	4	no	—
326	C₂²⋊C₄	—	43	4	no	—
327	C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
328	C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
329	C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
330	C₄²	—	43	1	no	—
331	C₄²	—	43	1	no	—
332	C₄²	—	43	2	no	—
333	C₄²	—	43	2	no	—
334	C₄²	—	43	2	no	—
335	C₄²	—	43	4	no	—
336	C₄²	C₂²×D₄₃	1	1	yes	characteristic
337	C₄²	C₂²×D₄₃	1	1	yes	characteristic
338	C₂³	—	43	1	no	—
339	C₂³	—	43	4	no	—
340	C₂³	—	43	1	no	—
341	C₂³	—	86	8	no	—
342	C₂³	—	172	4	no	—
343	C₂³	—	172	4	no	—
344	C₂³	C₂³×D₄₃	1	4	yes	—
345	C₂³	C₂³×D₄₃	1	1	yes	characteristic
346	Q₈	—	86	2	no	—
347	Q₈	—	86	8	no	—
348	D₄	—	2	4	no	—
349	D₄	—	4	4	no	—
350	D₄	—	4	4	no	—
351	D₄	—	86	2	no	—
352	D₄	—	86	8	no	—
353	D₄	—	86	8	no	—
354	D₄	—	86	8	no	—
355	D₄	—	86	2	no	—
356	D₄	—	86	2	no	—
357	D₄	—	86	4	no	—
358	D₄	—	172	4	no	—
359	D₄	—	172	4	no	—
360	D₄	—	172	4	no	—
361	D₄	—	172	4	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	4	4	no	—
364	C₂×C₄	—	43	1	no	—
365	C₂×C₄	—	43	2	no	—
366	C₂×C₄	—	43	4	no	—
367	C₂×C₄	—	43	1	no	—
368	C₂×C₄	—	43	2	no	—
369	C₂×C₄	—	43	4	no	—
370	C₂×C₄	—	86	4	no	—
371	C₂×C₄	—	86	4	no	—
372	C₂×C₄	—	86	4	no	—
373	C₂×C₄	—	86	2	no	—
374	C₂×C₄	—	172	4	no	—
375	C₂×C₄	—	172	4	no	—
376	C₂×C₄	—	172	4	no	—
377	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
378	C₂×C₄	C₂³×D₄₃	1	2	yes	—
379	C₂×C₄	C₂³×D₄₃	1	2	yes	—
380	C₂×C₄	C₂³×D₄₃	1	4	yes	—
381	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
382	C₂²	—	2	1	no	—
383	C₂²	—	2	4	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	2	2	no	—
386	C₂²	—	2	4	no	—
387	C₂²	—	43	2	no	—
388	C₂²	—	86	2	no	—
389	C₂²	—	86	1	no	—
390	C₂²	—	86	4	no	—
391	C₂²	—	86	2	no	—
392	C₂²	—	86	4	no	—
393	C₂²	—	86	4	no	—
394	C₂²	—	344	8	no	—
395	C₂²	C₂⁴×D₄₃	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	2	no	—
398	C₄	—	2	4	no	—
399	C₄	—	2	2	no	—
400	C₄	—	43	2	no	—
401	C₄	—	43	4	no	—
402	C₄	—	86	1	no	—
403	C₄	—	86	2	no	—
404	C₄	—	86	4	no	—
405	C₄	#41×D₄₃	1	2	yes	—
406	C₂	—	4	4	no	—
407	C₂	—	4	1	no	—
408	C₂	—	86	2	no	—
409	C₂	—	172	4	no	—
410	C₂	—	172	1	no	—
411	C₂	C₂×#41×D₄₃	1	1	yes	characteristic
412	C₂	H(5,𝔽₂)×D₄₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁵
Fitting	C₄₃×#540	C₂
hypercenter	#540	D₄₃
hypocenter	C₄₃	#3508
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #540

Complements

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

N	H ≅ G/N	type
1. #14583633	C₂	semidirect
2. #14583567	C₂	semidirect
3. #14583541	C₂	semidirect
4. #14583538	C₂	semidirect
5. #14583505	C₂	semidirect
6. #14583504	C₂	semidirect
7. #14583503	C₂	semidirect
8. #14583465	C₂	semidirect
9. #14583455	C₂	semidirect
10. #14583446	C₂	semidirect
11. #14583444	C₂	semidirect
12. #127×D₄₃	C₂	semidirect
13. #14583371	C₂	semidirect
14. #14583367	C₂	semidirect
15. C₄₃×#540	C₂	semidirect
17. C₂×#10621898	C₂²	semidirect
18. C₂×#10621900	C₂²	semidirect
21. #13063324	C₂²	semidirect
25. #13063321	C₂²	semidirect
26. #13063317	C₂²	semidirect
27. #13063311	C₂²	semidirect
28. #13063311	C₂²	semidirect
29. #13063311	C₂²	semidirect
30. #13063310	C₂²	semidirect
31. #13063310	C₂²	semidirect
32. #13063306	C₂²	semidirect
34. #13063300	C₂²	semidirect
35. #13063300	C₂²	semidirect
36. #13063299	C₂²	semidirect
37. #13063298	C₂²	semidirect
38. #13063298	C₂²	semidirect
39. #13063297	C₂²	semidirect
40. #13063297	C₂²	semidirect
41. #13063296	C₂²	semidirect
44. #13063290	C₂²	semidirect
45. #13063290	C₂²	semidirect
46. C₄×D₁₇₂	C₂²	semidirect
47. D₄×Dic₄₃	C₂²	semidirect
49. #13063287	C₂²	semidirect
50. C₄×C₂²⋊D₄₃	C₂²	semidirect
51. C₄×C₂²⋊D₄₃	C₂²	semidirect
53. (C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
54. (C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
55. (C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
58. #13063282	C₂²	semidirect
61. C₂×C₄×Dic₄₃	C₂²	semidirect
63. C₄²×D₄₃	C₂²	semidirect
65. #125×C₄₃	C₂²	semidirect
66. #123×C₄₃	C₂²	semidirect
67. #121×C₄₃	C₂²	semidirect
68. #121×C₄₃	C₂²	semidirect
69. C₄×D₄×C₄₃	C₂²	semidirect
70. #117×C₄₃	C₂²	semidirect
172. C₄×D₄₃	#41	semidirect
214. #540	D₄₃	semidirect
222. C₄₃	#3508	semidirect
235. #125	C₂×D₄₃	semidirect
242. #123	C₂×D₄₃	semidirect
252. #121	C₂×D₄₃	semidirect
253. #121	C₂×D₄₃	semidirect
268. C₄×D₄	C₂×D₄₃	semidirect
272. #117	C₂×D₄₃	semidirect