Subgroups — #45124

Order 256.

725 conjugacy classes of subgroups.

The subgroup lattice has 440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2805	C₂	1	2	yes	maximal, complemented
2	#2789	C₂	1	2	yes	maximal, complemented
3	#2775	C₂	1	2	yes	maximal
4	#2759	C₂	1	2	yes	maximal
5	#2596	C₂	1	2	yes	maximal
6	#2594	C₂	1	2	yes	maximal
7	#2581	C₂	1	1	yes	maximal, characteristic, complemented
8	#2550	C₂	1	1	yes	maximal, characteristic, complemented
9	#2524	C₂	1	2	yes	maximal, complemented
10	#2514	C₂	1	1	yes	maximal, characteristic, complemented
11	#2514	C₂	1	1	yes	maximal, characteristic, complemented
12	#2514	C₂	1	2	yes	maximal, complemented
13	#2495	C₂	1	1	yes	maximal, characteristic
14	#2494	C₂	1	1	yes	maximal, characteristic
15	#2492	C₂	1	1	yes	maximal, characteristic
16	#2489	C₂	1	1	yes	maximal, characteristic
17	#2396	C₂	1	1	yes	maximal, characteristic
18	#2370	C₂	1	1	yes	maximal, characteristic, complemented
19	#2369	C₂	1	1	yes	maximal, characteristic, complemented
20	#2355	C₂	1	1	yes	maximal, characteristic, complemented
21	#2355	C₂	1	1	yes	maximal, characteristic, complemented
22	#2323	C₂	1	1	yes	maximal, characteristic
23	#2314	C₂	1	1	yes	maximal, characteristic
24	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×#125	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
29	C₂×#117	C₂²	1	1	yes	characteristic
30	#401	C₂²	1	2	yes	—
31	#401	C₂²	1	2	yes	—
32	#401	C₂²	1	2	yes	—
33	#400	C₂²	1	2	yes	—
34	#400	C₂²	1	2	yes	—
35	#400	C₂²	1	1	yes	characteristic
36	#400	C₂²	1	2	yes	—
37	#400	C₂²	1	2	yes	—
38	#400	C₂²	1	2	yes	—
39	#400	C₂²	1	2	yes	—
40	#399	C₂²	1	1	yes	characteristic
41	#398	C₂²	1	2	yes	—
42	#398	C₂²	1	1	yes	characteristic
43	#398	C₂²	1	1	yes	characteristic
44	#397	C₂²	1	2	yes	—
45	#397	C₂²	1	2	yes	—
46	#397	C₂²	1	2	yes	—
47	#396	C₂²	1	1	yes	characteristic
48	#396	C₂²	1	1	yes	characteristic
49	#395	C₂²	1	2	yes	—
50	#395	C₂²	1	1	yes	characteristic
51	#395	C₂²	1	2	yes	—
52	#393	C₂²	1	1	yes	characteristic
53	#393	C₂²	1	2	yes	—
54	#391	C₂²	1	1	yes	characteristic
55	#391	C₂²	1	1	yes	characteristic
56	#391	C₂²	1	1	yes	characteristic
57	#391	C₂²	1	1	yes	characteristic
58	#391	C₂²	1	1	yes	characteristic
59	#391	C₂²	1	2	yes	—
60	#391	C₂²	1	2	yes	—
61	#391	C₂²	1	2	yes	—
62	#391	C₂²	1	2	yes	—
63	#391	C₂²	1	2	yes	—
64	#389	C₂²	1	1	yes	characteristic
65	#389	C₂²	1	2	yes	—
66	#389	C₂²	1	1	yes	characteristic
67	#389	C₂²	1	1	yes	characteristic
68	#389	C₂²	1	2	yes	—
69	#389	C₂²	1	2	yes	—
70	#389	C₂²	1	2	yes	—
71	#389	C₂²	1	1	yes	characteristic
72	#389	C₂²	1	1	yes	characteristic
73	#388	C₂²	1	2	yes	—
74	#388	C₂²	1	2	yes	—
75	#388	C₂²	1	2	yes	—
76	#388	C₂²	1	2	yes	—
77	#388	C₂²	1	2	yes	—
78	#388	C₂²	1	2	yes	—
79	#388	C₂²	1	2	yes	—
80	#388	C₂²	1	2	yes	—
81	#387	C₂²	1	2	yes	—
82	#387	C₂²	1	2	yes	—
83	#387	C₂²	1	2	yes	—
84	#387	C₂²	1	2	yes	—
85	#387	C₂²	1	2	yes	—
86	#387	C₂²	1	2	yes	—
87	#387	C₂²	1	2	yes	—
88	#387	C₂²	1	2	yes	—
89	#387	C₂²	1	2	yes	—
90	#387	C₂²	1	2	yes	—
91	#387	C₂²	1	2	yes	—
92	#387	C₂²	1	2	yes	—
93	#387	C₂²	1	2	yes	—
94	#387	C₂²	1	2	yes	—
95	#384	C₂²	1	1	yes	characteristic
96	#383	C₂²	1	2	yes	—
97	#383	C₂²	1	2	yes	—
98	#383	C₂²	1	2	yes	—
99	#382	C₂²	1	1	yes	characteristic
100	#382	C₂²	1	1	yes	characteristic
101	#382	C₂²	1	1	yes	characteristic
102	#382	C₂²	1	2	yes	—
103	#382	C₂²	1	2	yes	—
104	#380	C₂²	1	1	yes	characteristic
105	#380	C₂²	1	1	yes	characteristic
106	#380	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
122	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
123	C₂²×Q₈	C₂³	1	1	yes	characteristic
124	C₂²×Q₈	C₂³	1	1	yes	characteristic
125	C₂²×Q₈	C₂³	1	2	yes	—
126	C₂³×C₄	C₂³	1	1	yes	characteristic
127	C₄⋊Q₈	—	2	4	no	—
128	#125	—	2	4	no	—
129	C₂²⋊Q₈	—	2	4	no	—
130	C₄×Q₈	—	2	4	no	—
131	C₄×Q₈	—	2	4	no	—
132	#117	—	2	4	no	—
133	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
134	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
135	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
136	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
137	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
138	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₄⋊C₄	C₂³	1	2	yes	—
141	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
142	C₂×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₄²	C₂³	1	1	yes	characteristic
174	C₂×C₄²	C₂³	1	1	yes	characteristic
175	C₂×C₄²	C₂³	1	1	yes	characteristic
176	C₂×C₄²	C₂³	1	2	yes	—
177	C₂×C₄²	C₂³	1	1	yes	characteristic
178	C₂×C₄²	C₂³	1	1	yes	characteristic
179	C₂×C₄²	C₂³	1	2	yes	—
180	C₂×C₄²	C₂³	1	2	yes	—
181	C₂×C₄²	C₂³	1	2	yes	—
182	C₂×C₄²	C₂³	1	2	yes	—
183	C₂×C₄²	C₂³	1	2	yes	—
184	C₂×C₄²	C₂³	1	2	yes	—
185	C₂×C₄²	C₂³	1	2	yes	—
186	C₂×C₄²	C₂³	1	1	yes	characteristic
187	#95	C₂³	1	1	yes	characteristic
188	#95	C₂³	1	1	yes	characteristic
189	#95	C₂³	1	1	yes	characteristic
190	#95	C₂³	1	1	yes	characteristic
191	#95	C₂³	1	1	yes	characteristic
192	#95	C₂³	1	2	yes	—
193	#95	C₂³	1	2	yes	—
194	#95	C₂³	1	2	yes	—
195	#95	C₂³	1	2	yes	—
196	#95	C₂³	1	2	yes	—
197	#95	C₂³	1	1	yes	characteristic
198	#95	C₂³	1	1	yes	characteristic
199	#95	C₂³	1	2	yes	—
200	#95	C₂³	1	2	yes	—
201	#95	C₂³	1	2	yes	—
202	#95	C₂³	1	2	yes	—
203	#95	C₂³	1	2	yes	—
204	#95	C₂³	1	2	yes	—
205	#95	C₂³	1	1	yes	characteristic
206	#95	C₂³	1	2	yes	—
207	#95	C₂³	1	1	yes	characteristic
208	#95	C₂³	1	2	yes	—
209	#95	C₂³	1	2	yes	—
210	#95	C₂³	1	1	yes	characteristic
211	#95	C₂³	1	2	yes	—
212	#95	C₂³	1	2	yes	—
213	#95	C₂³	1	2	yes	—
214	#95	C₂³	1	2	yes	—
215	#95	C₂³	1	2	yes	—
216	#95	C₂³	1	2	yes	—
217	#95	C₂³	1	2	yes	—
218	#95	C₂³	1	2	yes	—
219	#95	C₂³	1	2	yes	—
220	#95	C₂³	1	2	yes	—
221	#95	C₂³	1	2	yes	—
222	#95	C₂³	1	2	yes	—
223	#95	C₂³	1	2	yes	—
224	#95	C₂³	1	2	yes	—
225	#95	C₂³	1	2	yes	—
226	#95	C₂³	1	2	yes	—
227	#95	C₂³	1	2	yes	—
228	C₂⁴	C₂⁴	1	1	yes	characteristic
229	C₂×Q₈	—	2	2	no	—
230	C₂×Q₈	—	2	2	no	—
231	C₂×Q₈	—	2	2	no	—
232	C₂×Q₈	—	2	4	no	—
233	C₂×Q₈	—	2	2	no	—
234	C₂×Q₈	—	4	1	no	—
235	C₂×Q₈	—	4	1	no	—
236	C₂×Q₈	—	4	2	no	—
237	C₂×Q₈	—	4	2	no	—
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	2	2	no	—
240	C₂²×C₄	—	2	2	no	—
241	C₂²×C₄	C₂⁴	1	2	yes	—
242	C₂²×C₄	C₂⁴	1	2	yes	—
243	C₂²×C₄	C₂⁴	1	1	yes	characteristic
244	C₂²×C₄	C₂⁴	1	1	yes	characteristic
245	C₂²×C₄	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄	C₂⁴	1	1	yes	characteristic
248	C₂²×C₄	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄	C₂⁴	1	2	yes	—
250	C₂²×C₄	C₂⁴	1	2	yes	—
251	C₂²×C₄	C₂⁴	1	2	yes	—
252	C₂²×C₄	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄	C₂⁴	1	2	yes	—
255	C₂²×C₄	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄	C₂⁴	1	2	yes	—
257	C₂²×C₄	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄	C₂⁴	1	2	yes	—
260	C₂²×C₄	C₂⁴	1	1	yes	characteristic
261	C₂²×C₄	C₂⁴	1	1	yes	characteristic
262	C₂²×C₄	C₂⁴	1	1	yes	characteristic
263	C₄⋊C₄	—	2	2	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	2	2	no	—
266	C₄⋊C₄	—	2	2	no	—
267	C₄⋊C₄	—	2	2	no	—
268	C₄⋊C₄	—	2	2	no	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	—	2	4	no	—
271	C₄⋊C₄	—	2	4	no	—
272	C₄⋊C₄	—	2	4	no	—
273	C₄⋊C₄	—	2	2	no	—
274	C₄⋊C₄	—	2	4	no	—
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	2	2	no	—
278	C₄⋊C₄	—	2	4	no	—
279	C₄⋊C₄	—	2	2	no	—
280	C₄⋊C₄	—	2	2	no	—
281	C₄⋊C₄	—	2	2	no	—
282	C₄⋊C₄	—	4	1	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	—	4	1	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	—	4	1	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	2	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	#41	1	4	yes	—
293	C₂²⋊C₄	—	2	2	no	—
294	C₂²⋊C₄	—	2	2	no	—
295	C₂²⋊C₄	—	2	4	no	—
296	C₂²⋊C₄	—	2	2	no	—
297	C₂²⋊C₄	—	4	1	no	—
298	C₂²⋊C₄	—	4	1	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	2	no	—
302	C₂²⋊C₄	—	4	1	no	—
303	C₄²	—	2	2	no	—
304	C₄²	—	2	4	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	2	no	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	4	2	no	—
310	C₄²	—	4	2	no	—
311	C₄²	—	4	2	no	—
312	C₄²	—	4	2	no	—
313	C₄²	—	4	2	no	—
314	C₄²	—	4	2	no	—
315	C₄²	—	4	2	no	—
316	C₄²	#41	1	4	yes	—
317	C₂³	—	2	1	no	—
318	C₂³	—	2	1	no	—
319	C₂³	—	2	1	no	—
320	C₂³	—	2	1	no	—
321	C₂³	—	2	1	no	—
322	C₂³	—	2	1	no	—
323	C₂³	—	2	1	no	—
324	C₂³	C₂⁵	1	1	yes	characteristic
325	Q₈	—	4	4	no	—
326	Q₈	—	4	4	no	—
327	Q₈	—	8	4	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	2	1	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	2	2	no	—
374	C₂×C₄	—	2	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	2	1	no	—
380	C₂×C₄	—	2	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	1	no	—
383	C₂×C₄	—	2	1	no	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	1	no	—
387	C₂×C₄	—	4	4	no	—
388	C₂×C₄	C₂×#41	1	2	yes	—
389	C₂×C₄	C₂×#41	1	2	yes	—
390	C₂×C₄	C₂×#41	1	4	yes	—
391	C₂×C₄	C₂×#41	1	2	yes	—
392	C₂×C₄	C₂×#41	1	2	yes	—
393	C₂×C₄	2₋¹⁺⁴	1	2	yes	—
394	C₂×C₄	2₋¹⁺⁴	1	2	yes	—
395	C₂²	—	4	1	no	—
396	C₂²	—	4	1	no	—
397	C₂²	—	4	1	no	—
398	C₂²	—	4	1	no	—
399	C₂²	—	4	1	no	—
400	C₂²	—	4	1	no	—
401	C₂²	—	4	1	no	—
402	C₂²	C₂²×#41	1	1	yes	characteristic
403	C₂²	C₂²×#41	1	1	yes	characteristic
404	C₂²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
405	C₂²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
406	C₂²	#585	1	1	yes	characteristic
407	C₂²	#585	1	1	yes	characteristic
408	C₂²	#585	1	1	yes	characteristic
409	C₄	—	2	2	no	—
410	C₄	—	2	2	no	—
411	C₄	—	2	2	no	—
412	C₄	—	2	4	no	—
413	C₄	—	4	1	no	—
414	C₄	—	4	2	no	—
415	C₄	—	4	1	no	—
416	C₄	—	4	2	no	—
417	C₄	—	4	1	no	—
418	C₄	—	4	1	no	—
419	C₄	—	4	1	no	—
420	C₄	—	4	1	no	—
421	C₄	—	4	1	no	—
422	C₄	—	4	1	no	—
423	C₄	—	4	2	no	—
424	C₄	—	4	1	no	—
425	C₄	—	4	2	no	—
426	C₄	—	4	1	no	—
427	C₄	—	4	2	no	—
428	C₄	—	4	2	no	—
429	C₄	—	4	2	no	—
430	C₄	#556	1	4	yes	—
431	C₂	—	8	1	no	—
432	C₂	C₂×#556	1	1	yes	characteristic
433	C₂	#3493	1	1	yes	characteristic
434	C₂	#3507	1	1	yes	characteristic
435	C₂	#3516	1	1	yes	characteristic
436	C₂	#3521	1	1	yes	characteristic
437	C₂	#3555	1	1	yes	characteristic
438	C₂	#3557	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
prime radical	C₂⁴	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #2805	C₂	semidirect
2. #2789	C₂	semidirect
7. #2581	C₂	semidirect
8. #2550	C₂	semidirect
9. #2524	C₂	semidirect
10. #2514	C₂	semidirect
11. #2514	C₂	semidirect
12. #2514	C₂	semidirect
18. #2370	C₂	semidirect
19. #2369	C₂	semidirect
20. #2355	C₂	semidirect
21. #2355	C₂	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#2805	2
#2789	2
#2775	2
#2759	2
#2596	2
#2594	2
#2581	2
#2550	2
#2524	2
#2514	2
#2495	2
#2494	2
#2492	2
#2489	2
#2396	2
#2370	2
#2369	2
#2355	2
#2323	2
#2314	2