Subgroups — #19146110

Order 5504.

494 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×#13063358	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#10621873	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583545	C₂	1	1	yes	maximal, characteristic
5	#14583293	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583145	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583140	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583122	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583105	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	#14583052	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583040	C₂	1	1	yes	maximal, characteristic, complemented
14	#14583001	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10621898	C₂²	1	1	yes	characteristic
17	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic
18	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
19	C₂²×D₁₇₂	C₂²	1	1	yes	characteristic
20	#13063358	—	2	4	no	—
21	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
22	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
23	C₂×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
24	C₂×#10621873	—	2	4	no	—
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
29	C₂×#10621873	C₂²	1	1	yes	characteristic
30	C₂×#10621873	C₂²	1	1	yes	characteristic
31	#13063325	C₂²	1	1	yes	characteristic, complemented
32	#13063324	—	2	1	no	—
33	#13063313	C₂²	1	1	yes	characteristic
34	#13063310	—	2	1	no	—
35	#13063304	C₂²	1	1	yes	characteristic
36	#13063304	C₂²	1	1	yes	characteristic
37	#13063304	C₂²	1	1	yes	characteristic, complemented
38	#13063302	—	2	1	no	—
39	#13063302	—	2	1	no	—
40	#13063299	C₂²	1	1	yes	characteristic
41	#13063298	—	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	D₄×Dic₄₃	—	2	1	no	—
46	C₂²⋊C₄×D₄₃	—	2	1	no	—
47	#13063259	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	#13063250	C₂²	1	1	yes	characteristic, complemented
52	#13063247	C₂²	1	1	yes	characteristic
53	#13063247	C₂²	1	1	yes	characteristic
54	C₂×M₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₈×C₄₃	C₂²	1	1	yes	characteristic
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	#97×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	C₂²×Dic₄₃	—	2	1	no	—
68	C₂²×Dic₄₃	—	2	1	no	—
69	#10621898	—	2	2	no	—
70	#10621898	—	4	1	no	—
71	C₂×D₁₇₂	—	2	1	no	—
72	C₂×D₁₇₂	—	2	2	no	—
73	C₂×D₁₇₂	—	4	1	no	—
74	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
75	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
76	C₂×C₄×D₄₃	—	2	1	no	—
77	C₂×C₄×D₄₃	—	2	1	no	—
78	C₂×Dic₈₆	—	2	2	no	—
79	C₂×Dic₈₆	—	2	2	no	—
80	C₂×Dic₈₆	—	2	1	no	—
81	C₂×Dic₈₆	—	2	1	no	—
82	C₂×Dic₈₆	—	4	1	no	—
83	C₂×Dic₈₆	—	4	1	no	—
84	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
85	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
86	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
87	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
88	M₁₆×C₄₃	—	2	2	no	—
89	C₂×C₈×C₄₃	—	2	2	no	—
90	C₂×C₈×C₄₃	C₂³	1	1	yes	characteristic
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	C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
95	C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
96	C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
97	C₄²×C₄₃	C₂³	1	1	yes	characteristic
98	C₂²⋊Dic₄₃	—	2	1	no	—
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	C₄⋊Dic₄₃	—	2	1	no	—
106	C₄⋊Dic₄₃	—	2	1	no	—
107	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
108	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
109	Dic₄₃⋊C₄	—	2	1	no	—
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	—	2	2	no	—
116	Dic₁₇₂	—	4	1	no	—
117	#10621873	—	2	2	no	—
118	#10621873	—	2	2	no	—
119	#10621873	—	2	2	no	—
120	#10621873	—	2	2	no	—
121	#10621873	—	4	1	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	—	4	2	no	—
128	C₂²×D₄₃	—	4	2	no	—
129	C₂²×D₄₃	—	8	1	no	—
130	D₄×C₄₃	—	2	2	no	—
131	C₂×C₄×C₄₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₄₃	—	4	2	no	—
141	C₂²⋊D₄₃	—	8	1	no	—
142	C₂×Dic₄₃	—	2	1	no	—
143	C₂×Dic₄₃	—	2	1	no	—
144	C₂×Dic₄₃	—	2	1	no	—
145	C₂×Dic₄₃	—	2	1	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	4	2	no	—
149	C₂×Dic₄₃	—	4	2	no	—
150	D₁₇₂	—	2	1	no	—
151	D₁₇₂	—	2	1	no	—
152	D₁₇₂	—	2	1	no	—
153	D₁₇₂	—	4	2	no	—
154	D₁₇₂	C₂×D₄	1	2	yes	—
155	C₄×D₄₃	—	4	2	no	—
156	C₄×D₄₃	—	8	1	no	—
157	Dic₈₆	—	2	1	no	—
158	Dic₈₆	—	2	1	no	—
159	Dic₈₆	—	2	1	no	—
160	Dic₈₆	—	2	1	no	—
161	Dic₈₆	—	2	1	no	—
162	Dic₈₆	—	2	1	no	—
163	Dic₈₆	—	2	1	no	—
164	Dic₈₆	—	4	2	no	—
165	Dic₈₆	—	4	2	no	—
166	Dic₈₆	C₂×D₄	1	2	yes	—
167	C₈×C₄₃	—	2	1	no	—
168	C₈×C₄₃	—	2	1	no	—
169	C₈×C₄₃	—	2	1	no	—
170	C₈×C₄₃	C₂×D₄	1	2	yes	—
171	C₂²×C₄₃	—	2	1	no	—
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	#137	1	2	yes	complemented
177	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
178	C₂×D₄₃	—	2	2	no	—
179	C₂×D₄₃	—	4	1	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	—	8	4	no	—
185	C₄×C₄₃	—	2	1	no	—
186	C₄×C₄₃	—	2	1	no	—
187	C₄×C₄₃	—	2	1	no	—
188	C₄×C₄₃	—	2	1	no	—
189	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
190	C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
191	Dic₄₃	—	2	2	no	—
192	Dic₄₃	—	4	1	no	—
193	Dic₄₃	—	4	1	no	—
194	Dic₄₃	—	4	1	no	—
195	Dic₄₃	—	4	1	no	—
196	Dic₄₃	—	4	1	no	—
197	#3266	—	43	1	no	maximal, Sylow
198	C₂×C₄₃	—	2	2	no	—
199	C₂×C₄₃	—	4	1	no	—
200	C₂×C₄₃	D₄²	1	1	yes	characteristic
201	C₂×C₄₃	C₂×#137	1	1	yes	characteristic
202	C₂×C₄₃	#577	1	1	yes	characteristic
203	D₄₃	—	4	2	no	—
204	D₄₃	—	8	1	no	—
205	C₂×#137	—	43	1	no	—
206	C₂²×SD₁₆	—	43	1	no	—
207	D₄×Q₈	—	43	1	no	—
208	#546	—	43	1	no	—
209	#497	—	43	1	no	—
210	#468	—	43	1	no	—
211	#467	—	43	1	no	—
212	#464	—	43	1	no	—
213	#461	—	43	1	no	—
214	#452	—	43	1	no	—
215	#451	—	43	1	no	—
216	#450	—	43	1	no	—
217	#448	—	43	1	no	—
218	#440	—	43	1	no	—
219	#435	D₄₃	1	1	yes	characteristic, complemented
220	C₄₃	#3266	1	1	yes	characteristic, complemented, Sylow
221	C₂×#41	—	43	1	no	—
222	C₂²×Q₈	—	43	1	no	—
223	C₂²×Q₈	—	43	1	no	—
224	C₂²×D₄	—	43	1	no	—
225	#137	—	86	4	no	—
226	C₂×Q₁₆	—	43	1	no	—
227	C₂×Q₁₆	—	43	1	no	—
228	C₂×Q₁₆	—	43	1	no	—
229	C₂×SD₁₆	—	43	1	no	—
230	C₂×SD₁₆	—	43	1	no	—
231	C₂×SD₁₆	—	43	1	no	—
232	C₂×SD₁₆	—	43	1	no	—
233	C₂×SD₁₆	—	43	1	no	—
234	C₂×SD₁₆	—	43	1	no	—
235	C₂×SD₁₆	—	86	4	no	—
236	C₂×M₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
237	C₂²×C₈	C₂×D₄₃	1	1	yes	characteristic
238	C₄⋊Q₈	—	43	1	no	—
239	C₄⋊Q₈	—	86	1	no	—
240	#124	—	43	1	no	—
241	#123	—	86	1	no	—
242	C₂²⋊Q₈	—	43	1	no	—
243	C₂²⋊Q₈	—	43	1	no	—
244	C₂²⋊Q₈	—	43	1	no	—
245	C₂²⋊Q₈	—	86	1	no	—
246	C₂²⋊Q₈	—	86	1	no	—
247	#121	—	43	1	no	—
248	#121	—	86	1	no	—
249	#120	—	86	1	no	—
250	C₄×Q₈	—	43	1	no	—
251	C₄×D₄	—	43	1	no	—
252	C₄×D₄	—	86	1	no	—
253	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
254	C₂×C₂²⋊C₄	—	86	1	no	—
255	#107	—	43	1	no	—
256	C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
257	#103	—	43	1	no	—
258	#103	—	43	1	no	—
259	#103	—	43	1	no	—
260	#103	—	43	1	no	—
261	#102	—	43	1	no	—
262	#102	—	43	1	no	—
263	C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
264	C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
265	#97	C₂×D₄₃	1	1	yes	characteristic, complemented
266	C₂⁴	—	86	1	no	—
267	#41	—	86	2	no	—
268	#41	—	172	1	no	—
269	C₂×Q₈	—	43	1	no	—
270	C₂×Q₈	—	43	1	no	—
271	C₂×Q₈	—	43	1	no	—
272	C₂×Q₈	—	43	1	no	—
273	C₂×Q₈	—	86	2	no	—
274	C₂×Q₈	—	86	2	no	—
275	C₂×Q₈	—	86	1	no	—
276	C₂×Q₈	—	86	1	no	—
277	C₂×Q₈	—	172	1	no	—
278	C₂×Q₈	—	172	1	no	—
279	C₂×D₄	—	43	1	no	—
280	C₂×D₄	—	43	1	no	—
281	C₂×D₄	—	86	2	no	—
282	C₂×D₄	—	86	1	no	—
283	C₂×D₄	—	86	1	no	—
284	C₂×D₄	—	86	1	no	—
285	C₂×D₄	—	172	1	no	—
286	C₂×D₄	D₁₇₂	1	1	yes	characteristic
287	C₂²×C₄	—	86	1	no	—
288	C₂²×C₄	—	86	1	no	—
289	C₂²×C₄	—	86	1	no	—
290	C₂²×C₄	—	86	1	no	—
291	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
292	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
293	Q₁₆	—	86	2	no	—
294	Q₁₆	—	86	2	no	—
295	Q₁₆	—	172	1	no	—
296	SD₁₆	—	43	4	no	—
297	SD₁₆	—	86	2	no	—
298	SD₁₆	—	86	2	no	—
299	SD₁₆	—	86	2	no	—
300	SD₁₆	—	86	2	no	—
301	SD₁₆	—	172	1	no	—
302	M₁₆	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
306	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
307	C₂×C₈	C₂²×D₄₃	1	1	yes	characteristic
308	C₄⋊C₄	—	43	1	no	—
309	C₄⋊C₄	—	43	1	no	—
310	C₄⋊C₄	—	86	1	no	—
311	C₄⋊C₄	—	86	1	no	—
312	C₄⋊C₄	—	86	1	no	—
313	C₄⋊C₄	—	86	1	no	—
314	C₄⋊C₄	—	86	1	no	—
315	C₄⋊C₄	—	86	1	no	—
316	C₄⋊C₄	D₁₇₂	1	1	yes	characteristic
317	C₂²⋊C₄	—	86	1	no	—
318	C₂²⋊C₄	—	86	1	no	—
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	D₁₇₂	1	1	yes	characteristic
325	C₂²⋊C₄	D₁₇₂	1	1	yes	characteristic
326	C₄²	—	86	1	no	—
327	C₄²	C₂²×D₄₃	1	1	yes	characteristic
328	C₂³	—	86	1	no	—
329	C₂³	—	86	1	no	—
330	C₂³	—	344	1	no	—
331	C₂³	—	172	2	no	—
332	C₂³	—	172	2	no	—
333	C₂³	C₂×D₁₇₂	1	1	yes	characteristic
334	C₂³	C₂×D₁₇₂	1	1	yes	characteristic
335	Q₈	—	43	2	no	—
336	Q₈	—	86	1	no	—
337	Q₈	—	86	1	no	—
338	Q₈	—	86	1	no	—
339	Q₈	—	86	1	no	—
340	Q₈	—	86	1	no	—
341	Q₈	—	86	1	no	—
342	Q₈	—	86	1	no	—
343	Q₈	—	172	2	no	—
344	Q₈	—	172	2	no	—
345	D₄	—	2	2	no	—
346	D₄	—	43	2	no	—
347	D₄	—	86	1	no	—
348	D₄	—	86	1	no	—
349	D₄	—	86	1	no	—
350	D₄	—	344	1	no	—
351	D₄	—	172	2	no	—
352	D₄	—	172	2	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	86	1	no	—
358	C₂×C₄	—	86	1	no	—
359	C₂×C₄	—	86	1	no	—
360	C₂×C₄	—	86	1	no	—
361	C₂×C₄	—	86	1	no	—
362	C₂×C₄	—	86	1	no	—
363	C₂×C₄	—	344	1	no	—
364	C₂×C₄	—	172	2	no	—
365	C₂×C₄	—	172	2	no	—
366	C₂×C₄	—	172	2	no	—
367	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
368	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
369	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
370	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
371	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
372	C₈	—	2	1	no	—
373	C₈	—	2	1	no	—
374	C₈	—	2	1	no	—
375	C₈	D₄×D₄₃	1	2	yes	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	86	2	no	—
382	C₂²	—	344	4	no	—
383	C₂²	—	172	1	no	—
384	C₂²	—	172	1	no	—
385	C₂²	—	172	1	no	—
386	C₂²	—	172	1	no	—
387	C₂²	—	172	1	no	—
388	C₂²	#13063358	1	2	yes	complemented
389	C₂²	C₂²×D₁₇₂	1	1	yes	characteristic
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	86	2	no	—
395	C₄	—	172	1	no	—
396	C₄	—	172	1	no	—
397	C₄	—	172	1	no	—
398	C₄	—	172	1	no	—
399	C₄	—	172	1	no	—
400	C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
401	C₄	#13063371	1	1	yes	characteristic
402	C₂	—	2	2	no	—
403	C₂	—	4	1	no	—
404	C₂	—	344	1	no	—
405	C₂	—	172	2	no	—
406	C₂	D₄×D₁₇₂	1	1	yes	characteristic
407	C₂	C₂×#13063358	1	1	yes	characteristic
408	C₂	#14583711	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#435	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#435	D₄₃
hypocenter	C₄₃	#3266
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #435

Complements

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

N	H ≅ G/N	type
1. C₂×#13063358	C₂	semidirect
2. C₂²×#10621873	C₂	semidirect
3. D₄×Dic₈₆	C₂	semidirect
5. #14583293	C₂	semidirect
6. #14583145	C₂	semidirect
7. #14583140	C₂	semidirect
8. #14583122	C₂	semidirect
9. #14583105	C₂	semidirect
10. #14583063	C₂	semidirect
11. #14583057	C₂	semidirect
12. #14583052	C₂	semidirect
13. #14583040	C₂	semidirect
14. #14583001	C₂	semidirect
15. C₄₃×#435	C₂	semidirect
18. C₂²×Dic₈₆	C₂²	semidirect
21. C₂×Dic₁₇₂	C₂²	semidirect
22. C₂×Dic₁₇₂	C₂²	semidirect
23. C₂×Dic₁₇₂	C₂²	semidirect
31. #13063325	C₂²	semidirect
37. #13063304	C₂²	semidirect
43. C₄×Dic₈₆	C₂²	semidirect
47. #13063259	C₂²	semidirect
48. #13063250	C₂²	semidirect
49. #13063250	C₂²	semidirect
50. #13063250	C₂²	semidirect
51. #13063250	C₂²	semidirect
54. C₂×M₁₆×C₄₃	C₂²	semidirect
57. C₄⋊C₈×C₄₃	C₂²	semidirect
59. C₂²⋊C₈×C₄₃	C₂²	semidirect
60. #97×C₄₃	C₂²	semidirect
122. #10621873	D₄	semidirect
176. C₂²×C₄₃	#137	semidirect
219. #435	D₄₃	semidirect
220. C₄₃	#3266	semidirect
236. C₂×M₁₆	C₂×D₄₃	semidirect
256. C₄⋊C₈	C₂×D₄₃	semidirect
264. C₂²⋊C₈	C₂×D₄₃	semidirect
265. #97	C₂×D₄₃	semidirect
388. C₂²	#13063358	semidirect