Subgroups — #19137385

Order 5504.

532 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063308	C₂	1	1	yes	maximal, characteristic
2	#14582799	C₂	1	1	yes	maximal, characteristic
3	#14582796	C₂	1	1	yes	maximal, characteristic, complemented
4	#14582793	C₂	1	1	yes	maximal, characteristic, complemented
5	#14582791	C₂	1	1	yes	maximal, characteristic, complemented
6	#14582790	C₂	1	1	yes	maximal, characteristic, complemented
7	#14582787	C₂	1	1	yes	maximal, characteristic, complemented
8	#14582786	C₂	1	1	yes	maximal, characteristic, complemented
9	#14582783	C₂	1	1	yes	maximal, characteristic, complemented
10	#14582775	C₂	1	1	yes	maximal, characteristic
11	#14582773	C₂	1	1	yes	maximal, characteristic, complemented
12	#14582759	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×Dic₄₃⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×(C₂×D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₂²⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₄₃	C₂²	1	1	yes	characteristic
18	#13063308	C₄	1	8	yes	complemented
19	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
21	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
23	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
24	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
25	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
27	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
29	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
31	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
32	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
37	C₄₃⋊#95	C₂²	1	1	yes	characteristic
38	C₄₃⋊#95	C₂²	1	1	yes	characteristic
39	C₄₃⋊#95	C₂²	1	1	yes	characteristic
40	C₄₃⋊#95	C₂²	1	1	yes	characteristic
41	C₄₃⋊#95	C₂²	1	1	yes	characteristic
42	C₄₃⋊#95	C₂²	1	1	yes	characteristic
43	C₄₃⋊#95	C₂²	1	1	yes	characteristic
44	C₄₃⋊#95	C₂²	1	1	yes	characteristic
45	C₂³×C₄×C₄₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₄²×C₄₃	C₂²	1	1	yes	characteristic
49	C₂×C₄²×C₄₃	C₂²	1	1	yes	characteristic
50	#95×C₄₃	C₂²	1	1	yes	characteristic
51	#95×C₄₃	C₂²	1	1	yes	characteristic
52	C₂⁴×C₄₃	C₂³	1	1	yes	characteristic
53	C₂³×D₄₃	C₂³	1	1	yes	characteristic
54	C₂²×C₄×C₄₃	—	4	1	no	—
55	C₂²×C₄×C₄₃	—	4	1	no	—
56	C₂²×C₄×C₄₃	C₂×C₄	1	4	yes	complemented
57	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
58	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
59	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
60	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
61	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
63	C₂×C₂²⋊D₄₃	—	4	1	no	—
64	C₂×C₂²⋊D₄₃	—	4	1	no	—
65	C₂×C₂²⋊D₄₃	C₂×C₄	1	4	yes	—
66	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
67	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
68	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
69	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
70	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
71	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
72	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
73	C₂×C₄×D₄₃	—	2	2	no	—
74	C₂×C₄×D₄₃	—	4	1	no	—
75	C₂×C₄×D₄₃	—	4	1	no	—
76	C₂²⋊C₄×C₄₃	—	2	2	no	—
77	C₂²⋊C₄×C₄₃	—	2	2	no	—
78	C₄²×C₄₃	—	4	1	no	—
79	C₄²×C₄₃	—	4	1	no	—
80	C₂²⋊Dic₄₃	—	4	1	no	—
81	C₂²⋊Dic₄₃	—	4	1	no	—
82	C₂²⋊Dic₄₃	C₂×C₄	1	4	yes	complemented
83	(C₂×D₄₃)⋊C₄	—	2	2	no	—
84	(C₂×D₄₃)⋊C₄	—	4	1	no	—
85	(C₂×D₄₃)⋊C₄	—	4	1	no	—
86	(C₂×D₄₃)⋊C₄	C₂×C₄	1	4	yes	—
87	(C₂×D₄₃)⋊C₄	C₂×C₄	1	4	yes	—
88	C₄⋊Dic₄₃	—	4	1	no	—
89	C₄⋊Dic₄₃	—	4	1	no	—
90	Dic₄₃⋊C₄	—	2	2	no	—
91	Dic₄₃⋊C₄	—	4	1	no	—
92	Dic₄₃⋊C₄	—	4	1	no	—
93	Dic₄₃⋊C₄	C₂×C₄	1	4	yes	complemented
94	Dic₄₃⋊C₄	C₂×C₄	1	4	yes	complemented
95	C₄×Dic₄₃	—	2	2	no	—
96	C₄×Dic₄₃	—	4	1	no	—
97	C₄×Dic₄₃	—	4	1	no	—
98	C₂³×C₄₃	—	2	1	no	—
99	C₂³×C₄₃	—	2	1	no	—
100	C₂³×C₄₃	—	2	1	no	—
101	C₂³×C₄₃	—	2	1	no	—
102	C₂³×C₄₃	—	2	1	no	—
103	C₂³×C₄₃	—	2	1	no	—
104	C₂³×C₄₃	C₂²×C₄	1	2	yes	—
105	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
106	C₂²×D₄₃	—	2	1	no	—
107	C₂²×D₄₃	—	2	1	no	—
108	C₂²×D₄₃	—	2	1	no	—
109	C₂²×D₄₃	—	2	1	no	—
110	C₂²×D₄₃	—	2	1	no	—
111	C₂²×D₄₃	—	2	1	no	—
112	C₂²×D₄₃	C₂²×C₄	1	2	yes	—
113	C₂×C₄×C₄₃	—	2	1	no	—
114	C₂×C₄×C₄₃	—	2	1	no	—
115	C₂×C₄×C₄₃	—	2	1	no	—
116	C₂×C₄×C₄₃	—	2	1	no	—
117	C₂×C₄×C₄₃	—	2	1	no	—
118	C₂×C₄×C₄₃	—	2	1	no	—
119	C₂×C₄×C₄₃	—	2	1	no	—
120	C₂×C₄×C₄₃	—	2	1	no	—
121	C₂×C₄×C₄₃	—	2	1	no	—
122	C₂×C₄×C₄₃	—	2	1	no	—
123	C₂×C₄×C₄₃	—	2	1	no	—
124	C₂×C₄×C₄₃	—	2	1	no	—
125	C₂×C₄×C₄₃	—	2	1	no	—
126	C₂×C₄×C₄₃	—	2	1	no	—
127	C₂×C₄×C₄₃	—	4	4	no	—
128	C₂×C₄×C₄₃	C₂²×C₄	1	2	yes	—
129	C₂×C₄×C₄₃	C₂²×C₄	1	2	yes	—
130	C₂×C₄×C₄₃	#41	1	2	yes	—
131	C₂×C₄×C₄₃	#41	1	2	yes	—
132	C₂²⋊D₄₃	—	4	4	no	—
133	C₂×Dic₄₃	—	2	1	no	—
134	C₂×Dic₄₃	—	2	1	no	—
135	C₂×Dic₄₃	—	2	1	no	—
136	C₂×Dic₄₃	—	2	1	no	—
137	C₂×Dic₄₃	—	2	1	no	—
138	C₂×Dic₄₃	—	2	1	no	—
139	C₂×Dic₄₃	—	2	1	no	—
140	C₂×Dic₄₃	—	2	1	no	—
141	C₂×Dic₄₃	—	2	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	—	2	1	no	—
149	C₂×Dic₄₃	—	2	1	no	—
150	C₂×Dic₄₃	—	2	1	no	—
151	C₂×Dic₄₃	C₂²×C₄	1	2	yes	—
152	C₂×Dic₄₃	C₂²×C₄	1	2	yes	—
153	C₂×Dic₄₃	C₂²×C₄	1	2	yes	—
154	C₄×D₄₃	—	4	4	no	—
155	C₂²×C₄₃	—	2	2	no	—
156	C₂²×C₄₃	—	2	2	no	—
157	C₂²×C₄₃	—	2	2	no	—
158	C₂²×C₄₃	—	4	1	no	—
159	C₂²×C₄₃	—	4	1	no	—
160	C₂²×C₄₃	—	4	1	no	—
161	C₂²×C₄₃	—	4	1	no	—
162	C₂²×C₄₃	C₂³×C₄	1	1	yes	characteristic
163	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
164	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
165	C₂²×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
166	C₂²×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
167	C₂²×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
168	C₂²×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
169	C₂×D₄₃	—	2	2	no	—
170	C₂×D₄₃	—	2	2	no	—
171	C₂×D₄₃	—	2	2	no	—
172	C₂×D₄₃	—	4	1	no	—
173	C₂×D₄₃	—	4	1	no	—
174	C₂×D₄₃	—	4	1	no	—
175	C₂×D₄₃	—	4	1	no	—
176	C₄×C₄₃	—	2	2	no	—
177	C₄×C₄₃	—	2	2	no	—
178	C₄×C₄₃	—	2	2	no	—
179	C₄×C₄₃	—	2	2	no	—
180	C₄×C₄₃	—	4	1	no	—
181	C₄×C₄₃	—	4	1	no	—
182	Dic₄₃	—	2	2	no	—
183	Dic₄₃	—	2	2	no	—
184	Dic₄₃	—	2	2	no	—
185	Dic₄₃	—	4	1	no	—
186	Dic₄₃	—	4	1	no	—
187	Dic₄₃	—	4	1	no	—
188	Dic₄₃	—	4	1	no	—
189	#2335	—	43	1	no	maximal, Sylow
190	C₂×C₄₃	—	4	2	no	—
191	C₂×C₄₃	C₄×#41	1	1	yes	characteristic
192	C₂×C₄₃	#518	1	1	yes	characteristic
193	C₂×C₄₃	#520	1	1	yes	characteristic
194	C₂×C₄₃	#538	1	1	yes	characteristic
195	C₂×C₄₃	#539	1	1	yes	characteristic
196	C₂×C₄₃	#540	1	1	yes	characteristic
197	C₂×C₄₃	#542	1	1	yes	characteristic
198	D₄₃	—	4	2	no	—
199	C₂×#123	—	43	1	no	—
200	#390	—	43	1	no	—
201	#389	—	43	1	no	—
202	#388	—	43	1	no	—
203	#388	—	43	1	no	—
204	#388	—	43	1	no	—
205	#388	—	43	1	no	—
206	#387	—	43	1	no	—
207	#387	—	43	1	no	—
208	#386	—	43	1	no	—
209	#385	—	43	1	no	—
210	#380	—	43	1	no	—
211	C₄×C₄⋊C₄	—	43	1	no	—
212	C₄×C₂²⋊C₄	—	43	1	no	—
213	C₄×C₂²⋊C₄	D₄₃	1	1	yes	characteristic, complemented
214	C₄₃	#2335	1	1	yes	characteristic, complemented, Sylow
215	C₂²×D₄	—	43	1	no	—
216	C₂³×C₄	—	43	1	no	—
217	C₂³×C₄	C₂×D₄₃	1	1	yes	characteristic
218	#123	—	43	8	no	—
219	C₂×C₄⋊C₄	—	43	1	no	—
220	C₂×C₄⋊C₄	—	43	1	no	—
221	C₂×C₄⋊C₄	—	43	1	no	—
222	C₂×C₄⋊C₄	—	43	1	no	—
223	C₂×C₄⋊C₄	—	43	1	no	—
224	C₂×C₄⋊C₄	—	43	1	no	—
225	C₂×C₄⋊C₄	—	43	1	no	—
226	C₂×C₂²⋊C₄	—	43	1	no	—
227	C₂×C₂²⋊C₄	—	43	1	no	—
228	C₂×C₂²⋊C₄	—	43	1	no	—
229	C₂×C₂²⋊C₄	—	43	1	no	—
230	C₂×C₂²⋊C₄	—	43	1	no	—
231	C₂×C₂²⋊C₄	—	43	1	no	—
232	C₂×C₂²⋊C₄	—	43	1	no	—
233	C₂×C₂²⋊C₄	—	43	1	no	—
234	C₂×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
235	C₂×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
236	C₂×C₄²	—	43	1	no	—
237	C₂×C₄²	—	43	1	no	—
238	C₂×C₄²	—	43	1	no	—
239	C₂×C₄²	C₂×D₄₃	1	1	yes	characteristic
240	C₂×C₄²	C₂×D₄₃	1	1	yes	characteristic
241	#95	—	43	1	no	—
242	#95	—	43	1	no	—
243	#95	—	43	1	no	—
244	#95	—	43	1	no	—
245	#95	—	43	1	no	—
246	#95	—	43	1	no	—
247	#95	—	43	1	no	—
248	#95	—	43	1	no	—
249	#95	C₂×D₄₃	1	1	yes	characteristic
250	#95	C₂×D₄₃	1	1	yes	characteristic
251	C₂⁴	—	43	1	no	—
252	C₂⁴	C₂²×D₄₃	1	1	yes	characteristic
253	C₂×D₄	—	43	4	no	—
254	C₂×D₄	—	172	1	no	—
255	C₂×D₄	—	172	1	no	—
256	C₂²×C₄	—	4	1	no	—
257	C₂²×C₄	—	4	1	no	—
258	C₂²×C₄	—	43	1	no	—
259	C₂²×C₄	—	43	1	no	—
260	C₂²×C₄	—	43	1	no	—
261	C₂²×C₄	—	43	1	no	—
262	C₂²×C₄	—	43	1	no	—
263	C₂²×C₄	—	43	1	no	—
264	C₂²×C₄	—	43	1	no	—
265	C₂²×C₄	—	86	2	no	—
266	C₂²×C₄	—	172	1	no	—
267	C₂²×C₄	—	172	1	no	—
268	C₂²×C₄	C₄×D₄₃	1	4	yes	complemented
269	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
270	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
271	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
272	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
273	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
274	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
275	C₄⋊C₄	—	43	4	no	—
276	C₄⋊C₄	—	43	4	no	—
277	C₄⋊C₄	—	86	2	no	—
278	C₄⋊C₄	—	172	1	no	—
279	C₄⋊C₄	—	172	1	no	—
280	C₄⋊C₄	—	172	1	no	—
281	C₄⋊C₄	—	172	1	no	—
282	C₂²⋊C₄	—	2	2	no	—
283	C₂²⋊C₄	—	2	2	no	—
284	C₂²⋊C₄	—	43	4	no	—
285	C₂²⋊C₄	—	43	4	no	—
286	C₂²⋊C₄	—	43	4	no	—
287	C₂²⋊C₄	—	86	2	no	—
288	C₂²⋊C₄	—	172	1	no	—
289	C₂²⋊C₄	—	172	1	no	—
290	C₂²⋊C₄	—	172	1	no	—
291	C₂²⋊C₄	—	172	1	no	—
292	C₄²	—	4	1	no	—
293	C₄²	—	4	1	no	—
294	C₄²	—	86	2	no	—
295	C₄²	—	172	1	no	—
296	C₄²	—	172	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	—	2	1	no	—
299	C₂³	—	2	1	no	—
300	C₂³	—	2	1	no	—
301	C₂³	—	2	1	no	—
302	C₂³	—	2	1	no	—
303	C₂³	—	43	2	no	—
304	C₂³	—	86	1	no	—
305	C₂³	—	86	1	no	—
306	C₂³	—	86	1	no	—
307	C₂³	—	86	1	no	—
308	C₂³	—	86	1	no	—
309	C₂³	—	86	1	no	—
310	C₂³	C₂×C₄×D₄₃	1	2	yes	—
311	C₂³	C₂³×D₄₃	1	1	yes	characteristic
312	D₄	—	172	4	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	4	4	no	—
328	C₂×C₄	—	43	2	no	—
329	C₂×C₄	—	43	2	no	—
330	C₂×C₄	—	43	2	no	—
331	C₂×C₄	—	86	1	no	—
332	C₂×C₄	—	86	1	no	—
333	C₂×C₄	—	86	1	no	—
334	C₂×C₄	—	86	1	no	—
335	C₂×C₄	—	86	1	no	—
336	C₂×C₄	—	86	1	no	—
337	C₂×C₄	—	86	1	no	—
338	C₂×C₄	—	86	1	no	—
339	C₂×C₄	—	86	1	no	—
340	C₂×C₄	—	86	1	no	—
341	C₂×C₄	—	86	1	no	—
342	C₂×C₄	—	86	1	no	—
343	C₂×C₄	—	86	1	no	—
344	C₂×C₄	—	86	1	no	—
345	C₂×C₄	—	86	1	no	—
346	C₂×C₄	—	86	1	no	—
347	C₂×C₄	—	86	1	no	—
348	C₂×C₄	—	86	1	no	—
349	C₂×C₄	—	172	4	no	—
350	C₂×C₄	C₂×C₄×D₄₃	1	2	yes	—
351	C₂×C₄	C₂×C₄×D₄₃	1	2	yes	—
352	C₂×C₄	#10621898	1	2	yes	—
353	C₂×C₄	#10621898	1	2	yes	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	2	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	86	2	no	—
362	C₂²	—	86	2	no	—
363	C₂²	—	86	2	no	—
364	C₂²	—	172	1	no	—
365	C₂²	—	172	1	no	—
366	C₂²	—	172	1	no	—
367	C₂²	—	172	1	no	—
368	C₂²	C₂²×C₄×D₄₃	1	1	yes	characteristic
369	C₂²	C₂×#10621898	1	1	yes	characteristic
370	C₂²	C₂×#10621898	1	1	yes	characteristic
371	C₂²	#13063370	1	1	yes	characteristic
372	C₂²	#13063370	1	1	yes	characteristic
373	C₂²	#13063371	1	1	yes	characteristic
374	C₂²	#13063372	1	1	yes	characteristic
375	C₄	—	2	2	no	—
376	C₄	—	2	2	no	—
377	C₄	—	2	2	no	—
378	C₄	—	2	2	no	—
379	C₄	—	4	1	no	—
380	C₄	—	4	1	no	—
381	C₄	—	86	2	no	—
382	C₄	—	86	2	no	—
383	C₄	—	86	2	no	—
384	C₄	—	172	1	no	—
385	C₄	—	172	1	no	—
386	C₄	—	172	1	no	—
387	C₄	—	172	1	no	—
388	C₂	—	4	2	no	—
389	C₂	—	172	2	no	—
390	C₂	C₄×#10621898	1	1	yes	characteristic
391	C₂	#14583372	1	1	yes	characteristic
392	C₂	#14583379	1	1	yes	characteristic
393	C₂	#14583482	1	1	yes	characteristic
394	C₂	#14583491	1	1	yes	characteristic
395	C₂	#14583500	1	1	yes	characteristic
396	C₂	#14583514	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₄₃
commutator	C₂²×C₄₃	C₂³×C₄
Fitting	C₄×C₂²⋊C₄×C₄₃	C₂
socle	C₂³×C₄₃	C₂⁴
hypercenter	C₄×C₂²⋊C₄	D₄₃
hypocenter	C₄₃	#2335
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₄×C₂²⋊C₄

Complements

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

N	H ≅ G/N	type
3. #14582796	C₂	semidirect
4. #14582793	C₂	semidirect
5. #14582791	C₂	semidirect
6. #14582790	C₂	semidirect
7. #14582787	C₂	semidirect
8. #14582786	C₂	semidirect
9. #14582783	C₂	semidirect
11. #14582773	C₂	semidirect
12. #14582759	C₂	semidirect
13. C₄×Dic₄₃⋊C₄	C₂	semidirect
14. C₄×(C₂×D₄₃)⋊C₄	C₂	semidirect
15. C₄×C₂²⋊C₄×C₄₃	C₂	semidirect
18. #13063308	C₄	semidirect
56. C₂²×C₄×C₄₃	C₂×C₄	semidirect
82. C₂²⋊Dic₄₃	C₂×C₄	semidirect
93. Dic₄₃⋊C₄	C₂×C₄	semidirect
94. Dic₄₃⋊C₄	C₂×C₄	semidirect
213. C₄×C₂²⋊C₄	D₄₃	semidirect
214. C₄₃	#2335	semidirect
268. C₂²×C₄	C₄×D₄₃	semidirect