Subgroups — #19146307

Order 5504.

504 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063347	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#10621873	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583558	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583545	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583283	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583128	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583128	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583122	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583115	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583063	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583057	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583046	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583035	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×#10621873	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈×D₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621898	C₂²	1	1	yes	characteristic
17	C₂×#10621898	C₂²	1	1	yes	characteristic, complemented
18	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic
19	C₂²×D₁₇₂	C₂²	1	1	yes	characteristic
20	#13063347	—	2	4	no	—
21	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
22	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
23	C₂×#10621873	—	2	4	no	—
24	C₂×#10621873	C₂²	1	1	yes	characteristic
25	C₂×#10621873	C₂²	1	1	yes	characteristic
26	C₂×#10621873	C₂²	1	1	yes	characteristic
27	C₂×#10621873	C₂²	1	1	yes	characteristic
28	C₂×#10621873	C₂²	1	1	yes	characteristic, complemented
29	C₂×D₃₄₄	C₂²	1	1	yes	characteristic
30	C₂×D₃₄₄	C₂²	1	1	yes	characteristic
31	#13063313	C₂²	1	1	yes	characteristic
32	#13063313	C₂²	1	1	yes	characteristic, complemented
33	#13063311	—	2	1	no	—
34	#13063310	—	2	1	no	—
35	#13063304	C₂²	1	1	yes	characteristic
36	#13063304	C₂²	1	1	yes	characteristic, complemented
37	#13063303	—	2	1	no	—
38	#13063299	C₂²	1	1	yes	characteristic
39	#13063299	C₂²	1	1	yes	characteristic
40	#13063298	—	2	1	no	—
41	#13063297	—	2	1	no	—
42	#13063293	—	2	1	no	—
43	C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
44	C₄×D₁₇₂	C₂²	1	1	yes	characteristic
45	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
46	C₂²⋊C₄×D₄₃	—	2	1	no	—
47	#13063257	C₂²	1	1	yes	characteristic, complemented
48	#13063250	C₂²	1	1	yes	characteristic, complemented
49	#13063250	C₂²	1	1	yes	characteristic, complemented
50	#13063250	C₂²	1	1	yes	characteristic, complemented
51	#13063247	C₂²	1	1	yes	characteristic
52	#13063247	C₂²	1	1	yes	characteristic
53	#13063247	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₈×C₄₃	C₂²	1	1	yes	characteristic
55	C₂²×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
57	C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
58	C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
59	C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₄₃	—	2	1	no	—
62	C₂×D₄×C₄₃	D₄	1	1	yes	characteristic
63	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₄₃	—	2	1	no	—
66	C₂×C₂²⋊D₄₃	—	2	1	no	—
67	C₂×C₂²⋊D₄₃	—	2	1	no	—
68	C₂×C₂²⋊D₄₃	—	2	1	no	—
69	C₂²×Dic₄₃	—	2	1	no	—
70	#10621898	—	2	2	no	—
71	#10621898	—	2	2	no	—
72	#10621898	—	4	1	no	—
73	#10621898	—	4	1	no	—
74	C₂×D₁₇₂	—	2	1	no	—
75	C₂×D₁₇₂	—	2	2	no	—
76	C₂×D₁₇₂	—	4	1	no	—
77	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
78	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
79	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₄₃	—	2	1	no	—
81	C₂×C₄×D₄₃	—	2	1	no	—
82	C₂×C₄×D₄₃	—	2	1	no	—
83	C₂×Dic₈₆	—	2	2	no	—
84	C₂×Dic₈₆	—	2	1	no	—
85	C₂×Dic₈₆	—	4	1	no	—
86	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
87	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
88	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
89	C₂×C₈×C₄₃	—	2	2	no	—
90	C₂×C₈×C₄₃	—	2	2	no	—
91	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
94	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
95	C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
96	C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
97	C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
98	C₄²×C₄₃	C₂³	1	1	yes	characteristic
99	C₂²⋊Dic₄₃	—	2	1	no	—
100	C₂²⋊Dic₄₃	—	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	(C₂×D₄₃)⋊C₄	—	2	1	no	—
105	(C₂×D₄₃)⋊C₄	—	2	1	no	—
106	(C₂×D₄₃)⋊C₄	—	2	1	no	—
107	(C₂×D₄₃)⋊C₄	—	2	1	no	—
108	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
109	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
110	Dic₄₃⋊C₄	—	2	1	no	—
111	Dic₄₃⋊C₄	—	2	1	no	—
112	Dic₄₃⋊C₄	—	2	1	no	—
113	C₄×Dic₄₃	—	2	1	no	—
114	Dic₁₇₂	—	2	2	no	—
115	Dic₁₇₂	—	4	1	no	—
116	D₃₄₄	—	2	2	no	—
117	D₃₄₄	—	4	1	no	—
118	#10621873	—	2	2	no	—
119	#10621873	—	2	2	no	—
120	#10621873	—	2	2	no	—
121	#10621873	—	2	2	no	—
122	#10621873	D₄	1	4	yes	complemented
123	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₂²×D₄₃	—	2	1	no	—
126	C₂²×D₄₃	—	2	1	no	—
127	C₂²×D₄₃	—	2	1	no	—
128	C₂²×D₄₃	—	4	2	no	—
129	C₂²×D₄₃	—	4	2	no	—
130	C₂²×D₄₃	—	8	1	no	—
131	D₄×C₄₃	—	2	2	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	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₄₃	—	4	2	no	—
142	C₂²⋊D₄₃	—	4	2	no	—
143	C₂²⋊D₄₃	—	4	2	no	—
144	C₂²⋊D₄₃	—	8	1	no	—
145	C₂×Dic₄₃	—	2	1	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	2	1	no	—
149	C₂×Dic₄₃	—	2	1	no	—
150	C₂×Dic₄₃	—	4	2	no	—
151	D₁₇₂	—	2	1	no	—
152	D₁₇₂	—	2	1	no	—
153	D₁₇₂	—	2	1	no	—
154	D₁₇₂	—	2	1	no	—
155	D₁₇₂	—	2	1	no	—
156	D₁₇₂	—	4	2	no	—
157	D₁₇₂	C₂×D₄	1	2	yes	—
158	C₄×D₄₃	—	4	2	no	—
159	C₄×D₄₃	—	4	2	no	—
160	C₄×D₄₃	—	8	1	no	—
161	Dic₈₆	—	2	1	no	—
162	Dic₈₆	—	2	1	no	—
163	Dic₈₆	—	2	1	no	—
164	Dic₈₆	—	2	1	no	—
165	Dic₈₆	—	2	1	no	—
166	Dic₈₆	—	4	2	no	—
167	Dic₈₆	C₂×D₄	1	2	yes	—
168	C₈×C₄₃	—	2	1	no	—
169	C₈×C₄₃	—	2	1	no	—
170	C₈×C₄₃	—	2	1	no	—
171	C₈×C₄₃	C₂×D₄	1	2	yes	—
172	C₂²×C₄₃	—	2	1	no	—
173	C₂²×C₄₃	—	2	1	no	—
174	C₂²×C₄₃	—	2	1	no	—
175	C₂²×C₄₃	—	2	1	no	—
176	C₂²×C₄₃	—	2	1	no	—
177	C₂²×C₄₃	#135	1	2	yes	complemented
178	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
179	C₂×D₄₃	—	2	2	no	—
180	C₂×D₄₃	—	4	1	no	—
181	C₂×D₄₃	—	4	1	no	—
182	C₂×D₄₃	—	4	1	no	—
183	C₂×D₄₃	—	4	1	no	—
184	C₂×D₄₃	—	4	1	no	—
185	C₂×D₄₃	—	4	1	no	—
186	C₂×D₄₃	—	4	1	no	—
187	C₂×D₄₃	—	4	1	no	—
188	C₂×D₄₃	—	8	4	no	—
189	C₄×C₄₃	—	2	1	no	—
190	C₄×C₄₃	—	2	1	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
194	C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
195	Dic₄₃	—	2	2	no	—
196	Dic₄₃	—	4	1	no	—
197	Dic₄₃	—	4	1	no	—
198	Dic₄₃	—	4	1	no	—
199	Dic₄₃	—	4	1	no	—
200	#3282	—	43	1	no	maximal, Sylow
201	C₂×C₄₃	—	2	2	no	—
202	C₂×C₄₃	—	4	1	no	—
203	C₂×C₄₃	D₄²	1	1	yes	characteristic
204	C₂×C₄₃	C₂×#135	1	1	yes	characteristic
205	C₂×C₄₃	#577	1	1	yes	characteristic
206	D₄₃	—	4	2	no	—
207	D₄₃	—	8	1	no	—
208	D₄₃	—	8	1	no	—
209	C₂×#135	—	43	1	no	—
210	C₂²×SD₁₆	—	43	1	no	—
211	#548	—	43	1	no	—
212	#546	—	43	1	no	—
213	#495	—	43	1	no	—
214	#465	—	43	1	no	—
215	#465	—	43	1	no	—
216	#464	—	43	1	no	—
217	#463	—	43	1	no	—
218	#452	—	43	1	no	—
219	#451	—	43	1	no	—
220	#449	—	43	1	no	—
221	#447	—	43	1	no	—
222	C₄×SD₁₆	—	43	1	no	—
223	C₈×D₄	D₄₃	1	1	yes	characteristic, complemented
224	C₄₃	#3282	1	1	yes	characteristic, complemented, Sylow
225	C₂×#41	—	43	1	no	—
226	C₂×#41	—	43	1	no	—
227	C₂²×Q₈	—	43	1	no	—
228	C₂²×D₄	—	43	1	no	—
229	#135	—	86	4	no	—
230	C₂×Q₁₆	—	43	1	no	—
231	C₂×Q₁₆	—	43	1	no	—
232	C₂×SD₁₆	—	43	1	no	—
233	C₂×SD₁₆	—	43	1	no	—
234	C₂×SD₁₆	—	43	1	no	—
235	C₂×SD₁₆	—	43	1	no	—
236	C₂×SD₁₆	—	43	1	no	—
237	C₂×SD₁₆	—	86	4	no	—
238	C₂×D₈	—	43	1	no	—
239	C₂×D₈	—	43	1	no	—
240	C₂²×C₈	C₂×D₄₃	1	1	yes	characteristic
241	C₂²×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
242	#124	—	43	1	no	—
243	#124	—	43	1	no	—
244	#124	—	86	1	no	—
245	#123	—	86	1	no	—
246	C₂²⋊Q₈	—	43	1	no	—
247	C₂²⋊Q₈	—	43	1	no	—
248	C₂²⋊Q₈	—	86	1	no	—
249	#121	—	43	1	no	—
250	#121	—	43	1	no	—
251	#121	—	86	1	no	—
252	#121	—	86	1	no	—
253	#120	—	86	1	no	—
254	C₄×Q₈	—	43	1	no	—
255	C₄×D₄	—	43	1	no	—
256	C₄×D₄	—	86	1	no	—
257	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
258	C₂×C₂²⋊C₄	—	86	1	no	—
259	#106	—	43	1	no	—
260	C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
261	#103	—	43	1	no	—
262	#103	—	43	1	no	—
263	#103	—	43	1	no	—
264	#102	—	43	1	no	—
265	#102	—	43	1	no	—
266	#102	—	43	1	no	—
267	C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
268	C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
269	C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
270	C₂⁴	—	86	1	no	—
271	#41	—	86	2	no	—
272	#41	—	86	2	no	—
273	#41	—	172	1	no	—
274	#41	—	172	1	no	—
275	C₂×Q₈	—	43	1	no	—
276	C₂×Q₈	—	43	1	no	—
277	C₂×Q₈	—	43	1	no	—
278	C₂×Q₈	—	86	2	no	—
279	C₂×Q₈	—	86	1	no	—
280	C₂×Q₈	—	172	1	no	—
281	C₂×D₄	—	43	1	no	—
282	C₂×D₄	—	43	1	no	—
283	C₂×D₄	—	43	1	no	—
284	C₂×D₄	—	86	2	no	—
285	C₂×D₄	—	86	1	no	—
286	C₂×D₄	—	86	1	no	—
287	C₂×D₄	—	86	1	no	—
288	C₂×D₄	—	86	1	no	—
289	C₂×D₄	—	86	1	no	—
290	C₂×D₄	—	172	1	no	—
291	C₂×D₄	D₁₇₂	1	1	yes	characteristic
292	C₂²×C₄	—	86	1	no	—
293	C₂²×C₄	—	86	1	no	—
294	C₂²×C₄	—	86	1	no	—
295	C₂²×C₄	—	86	1	no	—
296	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
297	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
298	Q₁₆	—	86	2	no	—
299	Q₁₆	—	172	1	no	—
300	SD₁₆	—	43	4	no	—
301	SD₁₆	—	86	2	no	—
302	SD₁₆	—	86	2	no	—
303	SD₁₆	—	86	2	no	—
304	SD₁₆	—	86	2	no	—
305	D₈	—	86	2	no	—
306	D₈	—	172	1	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
310	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
311	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
312	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
313	C₄⋊C₄	—	43	1	no	—
314	C₄⋊C₄	—	43	1	no	—
315	C₄⋊C₄	—	86	1	no	—
316	C₄⋊C₄	—	86	1	no	—
317	C₄⋊C₄	—	86	1	no	—
318	C₄⋊C₄	D₁₇₂	1	1	yes	characteristic
319	C₂²⋊C₄	—	86	1	no	—
320	C₂²⋊C₄	—	86	1	no	—
321	C₂²⋊C₄	—	86	1	no	—
322	C₂²⋊C₄	—	86	1	no	—
323	C₂²⋊C₄	—	86	1	no	—
324	C₂²⋊C₄	—	86	1	no	—
325	C₂²⋊C₄	—	86	1	no	—
326	C₂²⋊C₄	—	86	1	no	—
327	C₂²⋊C₄	—	86	1	no	—
328	C₂²⋊C₄	D₁₇₂	1	1	yes	characteristic
329	C₂²⋊C₄	D₁₇₂	1	1	yes	characteristic
330	C₄²	—	86	1	no	—
331	C₄²	C₂²×D₄₃	1	1	yes	characteristic
332	C₂³	—	86	1	no	—
333	C₂³	—	86	1	no	—
334	C₂³	—	86	1	no	—
335	C₂³	—	344	1	no	—
336	C₂³	—	172	2	no	—
337	C₂³	—	172	2	no	—
338	C₂³	C₂×D₁₇₂	1	1	yes	characteristic
339	C₂³	C₂×D₁₇₂	1	1	yes	characteristic
340	Q₈	—	43	2	no	—
341	Q₈	—	86	1	no	—
342	Q₈	—	86	1	no	—
343	Q₈	—	86	1	no	—
344	Q₈	—	86	1	no	—
345	Q₈	—	86	1	no	—
346	Q₈	—	172	2	no	—
347	D₄	—	2	2	no	—
348	D₄	—	43	2	no	—
349	D₄	—	86	1	no	—
350	D₄	—	86	1	no	—
351	D₄	—	86	1	no	—
352	D₄	—	86	1	no	—
353	D₄	—	86	1	no	—
354	D₄	—	344	1	no	—
355	D₄	—	172	2	no	—
356	D₄	—	172	2	no	—
357	D₄	—	172	2	no	—
358	D₄	—	172	2	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	86	1	no	—
364	C₂×C₄	—	86	1	no	—
365	C₂×C₄	—	86	1	no	—
366	C₂×C₄	—	86	1	no	—
367	C₂×C₄	—	86	1	no	—
368	C₂×C₄	—	344	1	no	—
369	C₂×C₄	—	172	2	no	—
370	C₂×C₄	—	172	2	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
373	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
374	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
375	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
376	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
377	C₈	—	2	1	no	—
378	C₈	—	2	1	no	—
379	C₈	—	2	1	no	—
380	C₈	D₄×D₄₃	1	2	yes	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	86	2	no	—
387	C₂²	—	344	4	no	—
388	C₂²	—	172	1	no	—
389	C₂²	—	172	1	no	—
390	C₂²	—	172	1	no	—
391	C₂²	—	172	1	no	—
392	C₂²	—	172	1	no	—
393	C₂²	—	172	1	no	—
394	C₂²	—	172	1	no	—
395	C₂²	—	172	1	no	—
396	C₂²	#13063347	1	2	yes	complemented
397	C₂²	C₂²×D₁₇₂	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	86	2	no	—
403	C₄	—	172	1	no	—
404	C₄	—	172	1	no	—
405	C₄	—	172	1	no	—
406	C₄	—	172	1	no	—
407	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
408	C₄	#13063371	1	1	yes	characteristic
409	C₂	—	2	2	no	—
410	C₂	—	4	1	no	—
411	C₂	—	344	1	no	—
412	C₂	—	344	1	no	—
413	C₂	—	172	2	no	—
414	C₂	D₄×D₁₇₂	1	1	yes	characteristic
415	C₂	C₂×#13063347	1	1	yes	characteristic
416	C₂	#14583711	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₈×D₄×C₄₃	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	C₈×D₄	D₄₃
hypocenter	C₄₃	#3282
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ C₈×D₄

Complements

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

N	H ≅ G/N	type
1. C₂×#13063347	C₂	semidirect
2. C₂²×#10621873	C₂	semidirect
3. #14583558	C₂	semidirect
4. #14583545	C₂	semidirect
5. #14583283	C₂	semidirect
6. #14583128	C₂	semidirect
7. #14583128	C₂	semidirect
8. #14583122	C₂	semidirect
9. #14583115	C₂	semidirect
10. #14583063	C₂	semidirect
11. #14583057	C₂	semidirect
12. #14583046	C₂	semidirect
13. #14583035	C₂	semidirect
14. C₄×#10621873	C₂	semidirect
15. C₈×D₄×C₄₃	C₂	semidirect
17. C₂×#10621898	C₂²	semidirect
21. C₂×Dic₁₇₂	C₂²	semidirect
22. C₂×Dic₁₇₂	C₂²	semidirect
28. C₂×#10621873	C₂²	semidirect
32. #13063313	C₂²	semidirect
36. #13063304	C₂²	semidirect
43. C₄×Dic₈₆	C₂²	semidirect
47. #13063257	C₂²	semidirect
48. #13063250	C₂²	semidirect
49. #13063250	C₂²	semidirect
50. #13063250	C₂²	semidirect
53. #13063247	C₂²	semidirect
55. C₂²×C₈×C₄₃	C₂²	semidirect
57. C₄⋊C₈×C₄₃	C₂²	semidirect
59. C₂²⋊C₈×C₄₃	C₂²	semidirect
60. C₄×C₈×C₄₃	C₂²	semidirect
122. #10621873	D₄	semidirect
177. C₂²×C₄₃	#135	semidirect
223. C₈×D₄	D₄₃	semidirect
224. C₄₃	#3282	semidirect
241. C₂²×C₈	C₂×D₄₃	semidirect
260. C₄⋊C₈	C₂×D₄₃	semidirect
268. C₂²⋊C₈	C₂×D₄₃	semidirect
269. C₄×C₈	C₂×D₄₃	semidirect
396. C₂²	#13063347	semidirect