Subgroups — #15683013

Order 2944.

548 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10625082	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#67262	C₂	1	1	yes	maximal, characteristic, complemented
3	#13092927	C₂	1	1	yes	maximal, characteristic, complemented
4	#121×D₂₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#13092669	C₂	1	1	yes	maximal, characteristic, complemented
6	#13092667	C₂	1	1	yes	maximal, characteristic, complemented
7	#13092664	C₂	1	1	yes	maximal, characteristic, complemented
8	#13092662	C₂	1	1	yes	maximal, characteristic, complemented
9	#13092651	C₂	1	1	yes	maximal, characteristic, complemented
10	#13092646	C₂	1	1	yes	maximal, characteristic, complemented
11	#13092644	C₂	1	1	yes	maximal, characteristic, complemented
12	#13092458	C₂	1	1	yes	maximal, characteristic, complemented
13	#13092420	C₂	1	1	yes	maximal, characteristic, complemented
14	#13092415	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#67290	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₂₃	—	2	1	no	—
18	C₂×D₄×D₂₃	C₂²	1	1	yes	characteristic
19	C₂²×C₄×D₂₃	C₂²	1	1	yes	characteristic
20	C₂×D₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₈×C₂₃	C₂²	1	1	yes	characteristic, complemented
22	C₂₃×#121	C₂²	1	1	yes	characteristic
23	C₂₃×#121	C₂²	1	1	yes	characteristic, complemented
24	#10625110	—	2	1	no	—
25	#10625109	C₂²	1	1	yes	characteristic
26	#10625109	C₂²	1	1	yes	characteristic, complemented
27	#10625108	—	2	1	no	—
28	D₄×Dic₂₃	—	2	1	no	—
29	C₂×#67273	C₂²	1	1	yes	characteristic, complemented
30	C₂×#67272	C₂²	1	1	yes	characteristic, complemented
31	#10625101	C₂²	1	1	yes	characteristic
32	#10625095	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₂₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
34	#10625082	—	2	4	no	—
35	C₂×#67263	C₂²	1	1	yes	characteristic, complemented
36	C₂×#67262	—	2	4	no	—
37	C₂×#67262	C₂²	1	1	yes	characteristic
38	C₂×#67262	C₂²	1	1	yes	characteristic
39	C₂×#67262	C₂²	1	1	yes	characteristic, complemented
40	C₂×#67262	C₂²	1	1	yes	characteristic, complemented
41	#10625068	C₂²	1	1	yes	characteristic, complemented
42	#10625066	C₂²	1	1	yes	characteristic
43	#10625063	C₂²	1	1	yes	characteristic
44	C₄⋊C₄×D₂₃	C₂²	1	1	yes	characteristic
45	#10625055	—	2	1	no	—
46	#10625054	—	2	1	no	—
47	(C₂²⋊D₂₃)⋊C₄	—	2	1	no	—
48	C₂²⋊C₄×D₂₃	—	2	1	no	—
49	C₂₃×#107	C₂²	1	1	yes	characteristic, complemented
50	C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
51	C₂₃×#102	C₂²	1	1	yes	characteristic, complemented
52	#10625014	C₂²	1	1	yes	characteristic, complemented
53	#10625014	C₂²	1	1	yes	characteristic, complemented
54	#10625003	C₂²	1	1	yes	characteristic, complemented
55	#10624999	C₂²	1	1	yes	characteristic, complemented
56	#10624998	C₂²	1	1	yes	characteristic, complemented
57	#10624992	C₂²	1	1	yes	characteristic, complemented
58	#10624991	C₂²	1	1	yes	characteristic, complemented
59	#10624990	C₂²	1	1	yes	characteristic, complemented
60	#10624989	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₂₃	—	2	1	no	—
62	C₂³×D₂₃	D₄	1	1	yes	characteristic
63	C₂×D₄×C₂₃	—	2	1	no	—
64	C₂×D₄×C₂₃	—	2	1	no	—
65	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₂₃	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
68	C₂×C₂²⋊D₂₃	—	2	1	no	—
69	C₂×C₂²⋊D₂₃	—	2	1	no	—
70	C₂×C₂²⋊D₂₃	—	2	1	no	—
71	C₂×C₂²⋊D₂₃	—	2	1	no	—
72	C₂×C₂²⋊D₂₃	—	2	1	no	—
73	C₂²×Dic₂₃	—	2	1	no	—
74	C₂²×Dic₂₃	D₄	1	1	yes	characteristic
75	#67290	—	2	2	no	—
76	#67290	—	2	2	no	—
77	D₄×D₂₃	—	2	2	no	—
78	D₄×D₂₃	—	2	2	no	—
79	D₄×D₂₃	—	4	4	no	—
80	C₂×D₉₂	—	2	1	no	—
81	C₂×D₉₂	C₂³	1	1	yes	characteristic
82	C₂×C₄×D₂₃	—	2	2	no	—
83	C₂×C₄×D₂₃	—	2	2	no	—
84	C₂×C₄×D₂₃	—	2	1	no	—
85	C₂×C₄×D₂₃	D₄	1	1	yes	characteristic
86	C₂×C₄×D₂₃	D₄	1	1	yes	characteristic
87	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
88	C₂×C₄×D₂₃	C₂³	1	1	yes	characteristic
89	C₂×Dic₄₆	C₂³	1	1	yes	characteristic
90	D₈×C₂₃	—	2	2	no	—
91	C₂×C₈×C₂₃	—	2	2	no	—
92	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₂₃	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
95	C₄⋊C₄×C₂₃	C₂³	1	1	yes	characteristic
96	C₂²⋊C₄×C₂₃	—	2	1	no	—
97	C₂²⋊C₄×C₂₃	—	2	1	no	—
98	C₂²⋊Dic₂₃	—	2	1	no	—
99	C₂²⋊Dic₂₃	—	2	1	no	—
100	C₂²⋊Dic₂₃	—	2	1	no	—
101	#67273	—	2	2	no	—
102	#67272	—	2	2	no	—
103	(C₂×D₂₃)⋊C₄	—	2	1	no	—
104	(C₂×D₂₃)⋊C₄	—	2	1	no	—
105	(C₂×D₂₃)⋊C₄	—	2	1	no	—
106	(C₂×D₂₃)⋊C₄	—	2	1	no	—
107	C₄⋊Dic₂₃	—	2	1	no	—
108	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
109	C₄⋊Dic₂₃	C₂³	1	1	yes	characteristic
110	Dic₂₃⋊C₄	—	2	1	no	—
111	Dic₂₃⋊C₄	—	2	1	no	—
112	C₄×Dic₂₃	—	2	1	no	—
113	C₂×C₂₃⋊C₈	—	2	2	no	—
114	C₂×C₂₃⋊C₈	C₂³	1	1	yes	characteristic
115	C₂×C₂₃⋊C₈	C₂³	1	1	yes	characteristic
116	#67263	—	2	2	no	—
117	#67262	—	2	2	no	—
118	#67262	—	2	2	no	—
119	#67262	—	2	2	no	—
120	#67262	D₄	1	4	yes	complemented
121	C₂³×C₂₃	—	2	1	no	—
122	C₂³×C₂₃	—	2	1	no	—
123	C₂³×C₂₃	C₂×D₄	1	1	yes	characteristic
124	C₂²×D₂₃	—	2	2	no	—
125	C₂²×D₂₃	—	2	2	no	—
126	C₂²×D₂₃	—	2	1	no	—
127	C₂²×D₂₃	—	4	1	no	—
128	C₂²×D₂₃	—	4	2	no	—
129	C₂²×D₂₃	—	4	2	no	—
130	C₂²×D₂₃	—	4	2	no	—
131	C₂²×D₂₃	C₂×D₄	1	1	yes	characteristic
132	C₂²×D₂₃	C₂×D₄	1	1	yes	characteristic
133	D₄×C₂₃	—	2	1	no	—
134	D₄×C₂₃	—	2	1	no	—
135	D₄×C₂₃	—	2	1	no	—
136	D₄×C₂₃	—	2	1	no	—
137	D₄×C₂₃	—	4	2	no	—
138	D₄×C₂₃	—	4	2	no	—
139	C₂×C₄×C₂₃	—	2	1	no	—
140	C₂×C₄×C₂₃	—	2	1	no	—
141	C₂×C₄×C₂₃	—	2	1	no	—
142	C₂×C₄×C₂₃	—	2	1	no	—
143	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
144	C₂×C₄×C₂₃	C₂⁴	1	1	yes	characteristic
145	C₂²⋊D₂₃	—	4	2	no	—
146	C₂²⋊D₂₃	—	4	2	no	—
147	C₂²⋊D₂₃	—	4	2	no	—
148	C₂²⋊D₂₃	—	4	2	no	—
149	C₂²⋊D₂₃	—	4	2	no	—
150	C₂×Dic₂₃	—	2	2	no	—
151	C₂×Dic₂₃	—	2	1	no	—
152	C₂×Dic₂₃	—	2	1	no	—
153	C₂×Dic₂₃	—	2	1	no	—
154	C₂×Dic₂₃	—	4	2	no	—
155	C₂×Dic₂₃	C₂×D₄	1	1	yes	characteristic
156	C₂×Dic₂₃	C₂×D₄	1	1	yes	characteristic
157	D₉₂	—	2	1	no	—
158	D₉₂	—	2	1	no	—
159	D₉₂	—	4	2	no	—
160	C₄×D₂₃	—	2	2	no	—
161	C₄×D₂₃	—	2	1	no	—
162	C₄×D₂₃	—	2	1	no	—
163	C₄×D₂₃	—	2	2	no	—
164	C₄×D₂₃	—	4	2	no	—
165	C₄×D₂₃	C₂×D₄	1	2	yes	—
166	C₄×D₂₃	#41	1	2	yes	—
167	Dic₄₆	—	2	1	no	—
168	Dic₄₆	—	2	1	no	—
169	C₈×C₂₃	—	2	1	no	—
170	C₈×C₂₃	C₂×D₄	1	2	yes	complemented
171	C₂₃⋊C₈	—	2	1	no	—
172	C₂₃⋊C₈	C₂×D₄	1	2	yes	complemented
173	#3055	—	23	1	no	maximal, Sylow
174	C₂²×C₂₃	—	2	1	no	—
175	C₂²×C₂₃	—	2	1	no	—
176	C₂²×C₂₃	—	4	1	no	—
177	C₂²×C₂₃	—	4	1	no	—
178	C₂²×C₂₃	—	4	1	no	—
179	C₂²×C₂₃	—	4	1	no	—
180	C₂²×C₂₃	—	4	1	no	—
181	C₂²×C₂₃	—	4	1	no	—
182	C₂²×C₂₃	AGL(1,ℤ/8)	1	2	yes	complemented
183	C₂²×C₂₃	C₂²×D₄	1	1	yes	characteristic
184	C₂×D₂₃	—	2	1	no	—
185	C₂×D₂₃	—	2	1	no	—
186	C₂×D₂₃	—	2	1	no	—
187	C₂×D₂₃	—	2	1	no	—
188	C₂×D₂₃	—	2	1	no	—
189	C₂×D₂₃	—	4	4	no	—
190	C₂×D₂₃	—	4	1	no	—
191	C₂×D₂₃	—	4	1	no	—
192	C₂×D₂₃	—	4	1	no	—
193	C₂×D₂₃	—	8	4	no	—
194	C₂×D₂₃	#121	1	2	yes	—
195	C₄×C₂₃	—	2	1	no	—
196	C₄×C₂₃	—	4	1	no	—
197	C₄×C₂₃	—	4	1	no	—
198	C₄×C₂₃	C₂²×D₄	1	1	yes	characteristic
199	C₄×C₂₃	C₂×#41	1	1	yes	characteristic
200	Dic₂₃	—	2	1	no	—
201	Dic₂₃	—	4	1	no	—
202	Dic₂₃	—	4	1	no	—
203	Dic₂₃	—	4	1	no	—
204	Dic₂₃	#121	1	2	yes	—
205	C₂×AGL(1,ℤ/8)	—	23	1	no	—
206	C₂²×M₁₆	—	23	1	no	—
207	#525	—	23	1	no	—
208	C₂×#121	—	23	1	no	—
209	#469	—	23	1	no	—
210	#469	—	23	1	no	—
211	#468	—	23	1	no	—
212	#468	—	23	1	no	—
213	#466	—	23	1	no	—
214	#466	D₂₃	1	1	yes	characteristic, complemented
215	#465	—	23	1	no	—
216	#465	—	23	1	no	—
217	#428	—	23	1	no	—
218	#418	—	23	1	no	—
219	#417	—	23	1	no	—
220	C₂×C₂₃	—	2	2	no	—
221	C₂×C₂₃	—	8	1	no	—
222	C₂×C₂₃	—	8	1	no	—
223	C₂×C₂₃	C₂×#121	1	1	yes	characteristic
224	C₂×C₂₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
225	C₂×C₂₃	#575	1	1	yes	characteristic
226	D₂₃	—	2	2	no	—
227	D₂₃	—	4	1	no	—
228	D₂₃	—	8	1	no	—
229	C₂×#41	—	23	1	no	—
230	C₂²×D₄	—	23	1	no	—
231	C₂²×D₄	—	46	1	no	—
232	C₂³×C₄	—	23	1	no	—
233	AGL(1,ℤ/8)	—	46	4	no	—
234	C₂×SD₁₆	—	23	1	no	—
235	C₂×SD₁₆	—	23	1	no	—
236	C₂×D₈	—	23	1	no	—
237	C₂×D₈	C₂×D₂₃	1	1	yes	characteristic, complemented
238	C₂×M₁₆	—	23	1	no	—
239	C₂×M₁₆	—	23	1	no	—
240	C₂×M₁₆	—	23	1	no	—
241	C₂×M₁₆	—	23	1	no	—
242	C₂×M₁₆	—	46	4	no	—
243	C₂²×C₈	—	23	1	no	—
244	C₂²×C₈	C₂×D₂₃	1	1	yes	characteristic, complemented
245	#123	—	46	1	no	—
246	C₂²⋊Q₈	—	23	1	no	—
247	C₂²⋊Q₈	—	23	1	no	—
248	#121	—	23	1	no	—
249	#121	—	23	1	no	—
250	#121	—	23	1	no	—
251	#121	—	23	1	no	—
252	#121	—	46	1	no	—
253	#121	—	46	1	no	—
254	#121	C₂×D₂₃	1	1	yes	characteristic
255	#121	C₂×D₂₃	1	1	yes	characteristic, complemented
256	#120	—	46	1	no	—
257	C₄×D₄	—	46	1	no	—
258	C₄×D₄	—	46	1	no	—
259	#117	—	23	1	no	—
260	C₂×C₄⋊C₄	—	23	1	no	—
261	C₂×C₂²⋊C₄	—	46	1	no	—
262	#107	—	23	1	no	—
263	#107	C₂×D₂₃	1	1	yes	characteristic, complemented
264	#106	—	23	1	no	—
265	#106	—	23	1	no	—
266	#103	—	23	1	no	—
267	#103	—	23	1	no	—
268	#102	—	23	1	no	—
269	#102	—	23	1	no	—
270	#102	—	23	1	no	—
271	#102	—	23	1	no	—
272	#102	C₂×D₂₃	1	1	yes	characteristic, complemented
273	#102	C₂×D₂₃	1	1	yes	characteristic, complemented
274	C₂₃	#3055	1	1	yes	characteristic, complemented, Sylow
275	C₂⁴	—	23	1	no	—
276	C₂⁴	—	46	1	no	—
277	#41	—	46	2	no	—
278	#41	—	46	2	no	—
279	C₂×Q₈	—	23	1	no	—
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	23	1	no	—
283	C₂×D₄	—	46	1	no	—
284	C₂×D₄	—	46	2	no	—
285	C₂×D₄	—	46	2	no	—
286	C₂×D₄	—	46	1	no	—
287	C₂×D₄	—	46	1	no	—
288	C₂×D₄	—	46	1	no	—
289	C₂×D₄	—	46	1	no	—
290	C₂×D₄	—	46	1	no	—
291	C₂×D₄	—	92	4	no	—
292	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
293	C₂×D₄	C₂²×D₂₃	1	1	yes	characteristic
294	C₂²×C₄	—	23	1	no	—
295	C₂²×C₄	—	23	1	no	—
296	C₂²×C₄	—	23	1	no	—
297	C₂²×C₄	—	23	1	no	—
298	C₂²×C₄	—	23	1	no	—
299	C₂²×C₄	—	46	2	no	—
300	C₂²×C₄	—	46	2	no	—
301	C₂²×C₄	—	46	1	no	—
302	C₂²×C₄	—	46	1	no	—
303	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
304	SD₁₆	—	46	2	no	—
305	SD₁₆	—	46	2	no	—
306	D₈	—	2	2	no	—
307	D₈	—	46	2	no	—
308	M₁₆	—	23	4	no	—
309	M₁₆	—	46	2	no	—
310	M₁₆	—	46	2	no	—
311	M₁₆	—	46	2	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	23	1	no	—
314	C₂×C₈	—	23	1	no	—
315	C₂×C₈	—	46	2	no	—
316	C₂×C₈	C₂²×D₂₃	1	1	yes	characteristic
317	C₂×C₈	C₂²×D₂₃	1	1	yes	characteristic
318	C₄⋊C₄	—	23	1	no	—
319	C₄⋊C₄	—	23	1	no	—
320	C₄⋊C₄	—	46	1	no	—
321	C₄⋊C₄	—	46	1	no	—
322	C₄⋊C₄	—	46	1	no	—
323	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
324	C₄⋊C₄	C₂²×D₂₃	1	1	yes	characteristic
325	C₂²⋊C₄	—	2	1	no	—
326	C₂²⋊C₄	—	2	1	no	—
327	C₂²⋊C₄	—	46	1	no	—
328	C₂²⋊C₄	—	46	1	no	—
329	C₂²⋊C₄	—	46	1	no	—
330	C₂²⋊C₄	—	46	1	no	—
331	C₂²⋊C₄	—	46	1	no	—
332	C₂²⋊C₄	—	46	1	no	—
333	C₂²⋊C₄	—	46	1	no	—
334	C₄²	—	46	1	no	—
335	C₂³	—	2	1	no	—
336	C₂³	—	2	1	no	—
337	C₂³	—	23	1	no	—
338	C₂³	—	23	1	no	—
339	C₂³	—	46	2	no	—
340	C₂³	—	46	2	no	—
341	C₂³	—	46	1	no	—
342	C₂³	—	92	1	no	—
343	C₂³	—	92	2	no	—
344	C₂³	—	92	2	no	—
345	C₂³	—	92	2	no	—
346	C₂³	D₄×D₂₃	1	1	yes	characteristic
347	Q₈	—	46	1	no	—
348	Q₈	—	46	1	no	—
349	D₄	—	2	1	no	—
350	D₄	—	2	1	no	—
351	D₄	—	2	1	no	—
352	D₄	—	2	1	no	—
353	D₄	—	4	2	no	—
354	D₄	—	4	2	no	—
355	D₄	—	46	1	no	—
356	D₄	—	46	1	no	—
357	D₄	—	92	2	no	—
358	D₄	—	92	2	no	—
359	D₄	—	92	2	no	—
360	D₄	—	92	2	no	—
361	D₄	—	92	2	no	—
362	D₄	—	92	2	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	23	1	no	—
368	C₂×C₄	—	23	2	no	—
369	C₂×C₄	—	23	2	no	—
370	C₂×C₄	—	23	1	no	—
371	C₂×C₄	—	46	2	no	—
372	C₂×C₄	—	46	2	no	—
373	C₂×C₄	—	46	2	no	—
374	C₂×C₄	—	46	1	no	—
375	C₂×C₄	—	46	1	no	—
376	C₂×C₄	—	46	1	no	—
377	C₂×C₄	—	46	1	no	—
378	C₂×C₄	—	46	1	no	—
379	C₂×C₄	—	92	2	no	—
380	C₂×C₄	—	92	2	no	—
381	C₂×C₄	D₄×D₂₃	1	1	yes	characteristic
382	C₂×C₄	C₂³×D₂₃	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	23	2	no	—
385	C₈	—	46	1	no	—
386	C₈	D₄×D₂₃	1	2	yes	complemented
387	C₂²	—	2	1	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	4	1	no	—
390	C₂²	—	4	1	no	—
391	C₂²	—	4	1	no	—
392	C₂²	—	4	1	no	—
393	C₂²	—	4	1	no	—
394	C₂²	—	4	1	no	—
395	C₂²	—	23	2	no	—
396	C₂²	—	46	1	no	—
397	C₂²	—	46	1	no	—
398	C₂²	—	46	1	no	—
399	C₂²	—	46	1	no	—
400	C₂²	—	46	1	no	—
401	C₂²	—	92	4	no	—
402	C₂²	—	92	1	no	—
403	C₂²	—	92	1	no	—
404	C₂²	—	92	1	no	—
405	C₂²	—	184	4	no	—
406	C₂²	#10625082	1	2	yes	complemented
407	C₂²	C₂×D₄×D₂₃	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	4	1	no	—
411	C₄	—	23	2	no	—
412	C₄	—	46	1	no	—
413	C₄	—	92	1	no	—
414	C₄	—	92	1	no	—
415	C₄	—	92	1	no	—
416	C₄	C₂×D₄×D₂₃	1	1	yes	characteristic
417	C₄	#41×D₂₃	1	1	yes	characteristic
418	C₂	—	2	2	no	—
419	C₂	—	8	1	no	—
420	C₂	—	8	1	no	—
421	C₂	—	46	2	no	—
422	C₂	—	92	1	no	—
423	C₂	—	184	1	no	—
424	C₂	#121×D₂₃	1	1	yes	characteristic
425	C₂	C₂×#10625082	1	1	yes	characteristic
426	C₂	#13093214	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₂₃
commutator, cosocle	C₂×C₄×C₂₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₂₃
Fitting	C₂₃×#466	C₂
socle	C₂²×C₂₃	C₂²×D₄
hypercenter	#466	D₂₃
hypocenter	C₂₃	#3055
LCS	G ▷ C₂×C₄×C₂₃ ▷ C₂×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #466

Complements

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

N	H ≅ G/N	type
1. C₂×#10625082	C₂	semidirect
2. C₂²×#67262	C₂	semidirect
3. #13092927	C₂	semidirect
4. #121×D₂₃	C₂	semidirect
5. #13092669	C₂	semidirect
6. #13092667	C₂	semidirect
7. #13092664	C₂	semidirect
8. #13092662	C₂	semidirect
9. #13092651	C₂	semidirect
10. #13092646	C₂	semidirect
11. #13092644	C₂	semidirect
12. #13092458	C₂	semidirect
13. #13092420	C₂	semidirect
14. #13092415	C₂	semidirect
15. C₂₃×#466	C₂	semidirect
20. C₂×D₈×C₂₃	C₂²	semidirect
21. C₂²×C₈×C₂₃	C₂²	semidirect
23. C₂₃×#121	C₂²	semidirect
26. #10625109	C₂²	semidirect
29. C₂×#67273	C₂²	semidirect
30. C₂×#67272	C₂²	semidirect
32. #10625095	C₂²	semidirect
33. C₂²×C₂₃⋊C₈	C₂²	semidirect
35. C₂×#67263	C₂²	semidirect
39. C₂×#67262	C₂²	semidirect
40. C₂×#67262	C₂²	semidirect
41. #10625068	C₂²	semidirect
49. C₂₃×#107	C₂²	semidirect
50. C₂₃×#102	C₂²	semidirect
51. C₂₃×#102	C₂²	semidirect
52. #10625014	C₂²	semidirect
53. #10625014	C₂²	semidirect
54. #10625003	C₂²	semidirect
55. #10624999	C₂²	semidirect
56. #10624998	C₂²	semidirect
57. #10624992	C₂²	semidirect
58. #10624991	C₂²	semidirect
59. #10624990	C₂²	semidirect
60. #10624989	C₂²	semidirect
120. #67262	D₄	semidirect
170. C₈×C₂₃	C₂×D₄	semidirect
172. C₂₃⋊C₈	C₂×D₄	semidirect
182. C₂²×C₂₃	AGL(1,ℤ/8)	semidirect
214. #466	D₂₃	semidirect
237. C₂×D₈	C₂×D₂₃	semidirect
244. C₂²×C₈	C₂×D₂₃	semidirect
255. #121	C₂×D₂₃	semidirect
263. #107	C₂×D₂₃	semidirect
272. #102	C₂×D₂₃	semidirect
273. #102	C₂×D₂₃	semidirect
274. C₂₃	#3055	semidirect
386. C₈	D₄×D₂₃	semidirect
406. C₂²	#10625082	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10625082	2
C₂²×#67262	2
#13092927	2
#121×D₂₃	2
#13092669	2
#13092667	2
#13092664	2
#13092662	2
#13092651	2
#13092646	2
#13092644	2
#13092458	2
#13092420	2
#13092415	2
C₂₃×#466	2
#3055	23