Subgroups — #3513

Order 128.

576 conjugacy classes of subgroups.

The subgroup lattice has 339 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#559	C₂	1	1	yes	maximal, characteristic, complemented
2	#554	C₂	1	1	yes	maximal, characteristic, complemented
3	#553	C₂	1	1	yes	maximal, characteristic, complemented
4	#553	C₂	1	2	yes	maximal, complemented
5	#552	C₂	1	1	yes	maximal, characteristic, complemented
6	#551	C₂	1	2	yes	maximal, complemented
7	#551	C₂	1	2	yes	maximal, complemented
8	#547	C₂	1	1	yes	maximal, characteristic, complemented
9	#546	C₂	1	1	yes	maximal, characteristic, complemented
10	#546	C₂	1	1	yes	maximal, characteristic, complemented
11	#546	C₂	1	2	yes	maximal, complemented
12	D₄²	C₂	1	1	yes	maximal, characteristic, complemented
13	#542	C₂	1	1	yes	maximal, characteristic, complemented
14	#540	C₂	1	1	yes	maximal, characteristic, complemented
15	#539	C₂	1	2	yes	maximal, complemented
16	#538	C₂	1	2	yes	maximal, complemented
17	#529	C₂	1	1	yes	maximal, characteristic, complemented
18	#529	C₂	1	1	yes	maximal, characteristic, complemented
19	#525	C₂	1	2	yes	maximal, complemented
20	C₂×#123	C₂	1	2	yes	maximal, complemented
21	#520	C₂	1	1	yes	maximal, characteristic, complemented
22	#518	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41	C₂²	1	1	yes	characteristic
25	C₂×#41	C₂²	1	2	yes	complemented
26	C₂²×D₄	C₂²	1	1	yes	characteristic
27	C₂²×D₄	C₂²	1	1	yes	characteristic
28	C₂²×D₄	C₂²	1	2	yes	—
29	C₂³×C₄	C₂²	1	2	yes	complemented
30	C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	#127	C₂²	1	1	yes	characteristic
32	#126	C₂²	1	2	yes	complemented
33	#126	C₂²	1	1	yes	characteristic, complemented
34	#126	C₂²	1	1	yes	characteristic, complemented
35	#126	C₂²	1	2	yes	complemented
36	#126	C₂²	1	2	yes	complemented
37	#126	C₂²	1	2	yes	complemented
38	#125	C₂²	1	1	yes	characteristic, complemented
39	#125	C₂²	1	1	yes	characteristic, complemented
40	#125	C₂²	1	2	yes	complemented
41	#125	C₂²	1	1	yes	characteristic, complemented
42	#124	C₂²	1	1	yes	characteristic, complemented
43	#124	C₂²	1	1	yes	characteristic, complemented
44	#124	C₂²	1	2	yes	complemented
45	#124	C₂²	1	2	yes	complemented
46	#124	C₂²	1	1	yes	characteristic, complemented
47	#123	C₂²	1	1	yes	characteristic
48	#123	C₂²	1	2	yes	—
49	#123	C₂²	1	2	yes	complemented
50	#123	C₂²	1	2	yes	complemented
51	#123	C₂²	1	2	yes	complemented
52	#123	C₂²	1	2	yes	complemented
53	#123	C₂²	1	2	yes	complemented
54	#123	C₂²	1	2	yes	complemented
55	#123	C₂²	1	1	yes	characteristic, complemented
56	#123	C₂²	1	2	yes	complemented
57	#123	C₂²	1	2	yes	complemented
58	#123	C₂²	1	2	yes	complemented
59	#123	C₂²	1	2	yes	complemented
60	#123	C₂²	1	2	yes	complemented
61	C₂²⋊Q₈	C₂²	1	2	yes	complemented
62	C₂²⋊Q₈	C₂²	1	2	yes	complemented
63	C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	C₂²⋊Q₈	C₂²	1	2	yes	complemented
66	C₂²⋊Q₈	C₂²	1	2	yes	complemented
67	C₂²⋊Q₈	C₂²	1	2	yes	complemented
68	C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
69	#121	C₂²	1	1	yes	characteristic
70	#121	C₂²	1	1	yes	characteristic
71	#121	C₂²	1	2	yes	—
72	#121	C₂²	1	1	yes	characteristic
73	#121	C₂²	1	2	yes	complemented
74	#121	C₂²	1	2	yes	complemented
75	#121	C₂²	1	2	yes	complemented
76	#121	C₂²	1	2	yes	complemented
77	#121	C₂²	1	1	yes	characteristic, complemented
78	#121	C₂²	1	2	yes	complemented
79	#121	C₂²	1	1	yes	characteristic, complemented
80	#120	C₂²	1	2	yes	—
81	#120	C₂²	1	2	yes	—
82	#120	C₂²	1	2	yes	complemented
83	#120	C₂²	1	2	yes	complemented
84	C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
85	C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
86	C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₄×D₄	C₂²	1	1	yes	characteristic
88	C₄×D₄	C₂²	1	1	yes	characteristic
89	C₄×D₄	C₂²	1	1	yes	characteristic
90	C₄×D₄	C₂²	1	1	yes	characteristic
91	C₄×D₄	C₂²	1	1	yes	characteristic
92	C₄×D₄	C₂²	1	2	yes	complemented
93	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
94	C₄×D₄	C₂²	1	2	yes	complemented
95	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
96	C₄×D₄	C₂²	1	2	yes	complemented
97	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
98	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
99	C₄×D₄	C₂²	1	2	yes	complemented
100	C₄×D₄	C₂²	1	2	yes	complemented
101	C₄×D₄	C₂²	1	2	yes	complemented
102	C₄×D₄	C₂²	1	2	yes	complemented
103	C₄×D₄	C₂²	1	2	yes	complemented
104	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
105	C₄×D₄	C₂²	1	2	yes	complemented
106	C₄×D₄	C₂²	1	1	yes	characteristic, complemented
107	#117	C₂²	1	1	yes	characteristic, complemented
108	#117	C₂²	1	1	yes	characteristic, complemented
109	#117	C₂²	1	1	yes	characteristic, complemented
110	#117	C₂²	1	2	yes	complemented
111	#117	C₂²	1	2	yes	complemented
112	#117	C₂²	1	2	yes	complemented
113	C₂×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄⋊C₄	C₂²	1	2	yes	complemented
115	C₂×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄⋊C₄	C₂²	1	2	yes	complemented
117	C₂×C₂²⋊C₄	C₂²	1	2	yes	complemented
118	C₂×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₂×C₄²	C₂²	1	1	yes	characteristic, complemented
123	C₂⁴	C₂³	1	2	yes	—
124	C₂⁴	C₂³	1	2	yes	—
125	#41	—	2	4	no	—
126	#41	—	4	4	no	—
127	C₂×Q₈	C₂³	1	1	yes	characteristic
128	C₂×Q₈	C₂³	1	1	yes	characteristic
129	C₂×Q₈	C₂³	1	2	yes	—
130	C₂×D₄	—	2	4	no	—
131	C₂×D₄	—	2	4	no	—
132	C₂×D₄	—	4	4	no	—
133	C₂×D₄	C₂³	1	1	yes	characteristic
134	C₂×D₄	C₂³	1	2	yes	—
135	C₂×D₄	C₂³	1	2	yes	—
136	C₂×D₄	C₂³	1	2	yes	—
137	C₂×D₄	C₂³	1	1	yes	characteristic
138	C₂×D₄	C₂³	1	1	yes	characteristic
139	C₂×D₄	C₂³	1	2	yes	—
140	C₂×D₄	C₂³	1	1	yes	characteristic
141	C₂×D₄	C₂³	1	2	yes	—
142	C₂×D₄	C₂³	1	1	yes	characteristic
143	C₂×D₄	C₂³	1	2	yes	—
144	C₂×D₄	C₂³	1	2	yes	—
145	C₂×D₄	C₂³	1	2	yes	—
146	C₂×D₄	C₂³	1	2	yes	—
147	C₂×D₄	C₂³	1	1	yes	characteristic
148	C₂²×C₄	—	4	4	no	—
149	C₂²×C₄	C₂³	1	1	yes	characteristic
150	C₂²×C₄	C₂³	1	1	yes	characteristic
151	C₂²×C₄	C₂³	1	2	yes	—
152	C₂²×C₄	C₂³	1	2	yes	—
153	C₂²×C₄	C₂³	1	1	yes	characteristic
154	C₂²×C₄	C₂³	1	1	yes	characteristic
155	C₂²×C₄	C₂³	1	1	yes	characteristic
156	C₂²×C₄	C₂³	1	2	yes	—
157	C₂²×C₄	C₂³	1	2	yes	—
158	C₂²×C₄	C₂³	1	2	yes	—
159	C₂²×C₄	C₂³	1	2	yes	—
160	C₂²×C₄	C₂³	1	2	yes	—
161	C₂²×C₄	C₂³	1	2	yes	—
162	C₂²×C₄	C₂³	1	2	yes	—
163	C₂²×C₄	C₂³	1	2	yes	—
164	C₂²×C₄	C₂³	1	2	yes	—
165	C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₄⋊C₄	C₂³	1	2	yes	—
167	C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₄⋊C₄	C₂³	1	2	yes	—
170	C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₄⋊C₄	C₂³	1	2	yes	—
173	C₄⋊C₄	C₂³	1	2	yes	—
174	C₄⋊C₄	C₂³	1	2	yes	—
175	C₄⋊C₄	C₂³	1	2	yes	—
176	C₄⋊C₄	C₂³	1	2	yes	—
177	C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₄⋊C₄	C₂³	1	2	yes	—
182	C₄⋊C₄	C₂³	1	2	yes	—
183	C₄⋊C₄	C₂³	1	2	yes	—
184	C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₄⋊C₄	C₂³	1	2	yes	—
187	C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₄⋊C₄	C₂³	1	1	yes	characteristic
189	C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂²⋊C₄	C₂³	1	1	yes	characteristic
192	C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₄²	C₂³	1	1	yes	characteristic
220	C₄²	C₂³	1	1	yes	characteristic
221	C₄²	C₂³	1	1	yes	characteristic
222	C₄²	C₂³	1	1	yes	characteristic
223	C₄²	C₂³	1	2	yes	—
224	C₄²	C₂³	1	2	yes	—
225	C₄²	C₂³	1	2	yes	—
226	C₄²	C₂³	1	1	yes	characteristic
227	C₄²	C₂³	1	1	yes	characteristic
228	C₂³	—	2	4	no	—
229	C₂³	—	2	4	no	—
230	C₂³	—	2	4	no	—
231	C₂³	—	4	2	no	—
232	C₂³	—	4	2	no	—
233	C₂³	—	4	2	no	—
234	C₂³	C₂⁴	1	1	yes	characteristic
235	C₂³	C₂⁴	1	2	yes	—
236	C₂³	C₂⁴	1	2	yes	—
237	C₂³	C₂⁴	1	1	yes	characteristic
238	C₂³	C₂⁴	1	2	yes	—
239	C₂³	C₂⁴	1	1	yes	characteristic
240	Q₈	—	2	2	no	—
241	Q₈	—	4	1	no	—
242	Q₈	—	4	2	no	—
243	D₄	—	2	4	no	—
244	D₄	—	2	4	no	—
245	D₄	—	2	4	no	—
246	D₄	—	2	2	no	—
247	D₄	—	2	4	no	—
248	D₄	—	2	2	no	—
249	D₄	—	2	2	no	—
250	D₄	—	2	2	no	—
251	D₄	—	4	2	no	—
252	D₄	—	4	2	no	—
253	D₄	—	4	2	no	—
254	D₄	—	4	1	no	—
255	D₄	—	4	2	no	—
256	D₄	—	4	2	no	—
257	D₄	#41	1	4	yes	complemented
258	C₂×C₄	—	2	4	no	—
259	C₂×C₄	—	2	2	no	—
260	C₂×C₄	—	2	4	no	—
261	C₂×C₄	—	2	2	no	—
262	C₂×C₄	—	2	2	no	—
263	C₂×C₄	—	2	2	no	—
264	C₂×C₄	—	4	2	no	—
265	C₂×C₄	—	4	2	no	—
266	C₂×C₄	—	4	2	no	—
267	C₂×C₄	—	4	2	no	—
268	C₂×C₄	—	4	2	no	—
269	C₂×C₄	—	4	1	no	—
270	C₂×C₄	—	4	2	no	—
271	C₂×C₄	—	4	2	no	—
272	C₂×C₄	—	4	2	no	—
273	C₂×C₄	—	4	2	no	—
274	C₂×C₄	C₂⁴	1	1	yes	characteristic
275	C₂×C₄	C₂⁴	1	1	yes	characteristic
276	C₂×C₄	C₂⁴	1	2	yes	—
277	C₂×C₄	C₂⁴	1	1	yes	characteristic
278	C₂×C₄	C₂⁴	1	1	yes	characteristic
279	C₂×C₄	C₂⁴	1	1	yes	characteristic
280	C₂×C₄	C₂⁴	1	1	yes	characteristic
281	C₂×C₄	C₂⁴	1	1	yes	characteristic
282	C₂×C₄	C₂⁴	1	2	yes	—
283	C₂×C₄	C₂⁴	1	1	yes	characteristic
284	C₂×C₄	C₂⁴	1	2	yes	—
285	C₂×C₄	C₂⁴	1	1	yes	characteristic
286	C₂×C₄	C₂⁴	1	2	yes	—
287	C₂×C₄	C₂⁴	1	1	yes	characteristic
288	C₂×C₄	C₂⁴	1	1	yes	characteristic
289	C₂×C₄	C₂⁴	1	2	yes	—
290	C₂×C₄	C₂⁴	1	1	yes	characteristic
291	C₂²	—	2	1	no	—
292	C₂²	—	2	2	no	—
293	C₂²	—	2	1	no	—
294	C₂²	—	2	2	no	—
295	C₂²	—	2	1	no	—
296	C₂²	—	2	1	no	—
297	C₂²	—	2	2	no	—
298	C₂²	—	2	2	no	—
299	C₂²	—	2	1	no	—
300	C₂²	—	2	2	no	—
301	C₂²	—	2	2	no	—
302	C₂²	—	2	1	no	—
303	C₂²	—	2	2	no	—
304	C₂²	—	2	1	no	—
305	C₂²	—	2	2	no	—
306	C₂²	—	2	1	no	—
307	C₂²	—	4	8	no	—
308	C₂²	—	8	4	no	—
309	C₂²	C₂×#41	1	4	yes	—
310	C₂²	H(5,𝔽₂)	1	2	yes	—
311	C₂²	C₂⁵	1	1	yes	characteristic
312	C₄	—	2	1	no	—
313	C₄	—	2	1	no	—
314	C₄	—	2	1	no	—
315	C₄	—	2	2	no	—
316	C₄	—	2	1	no	—
317	C₄	—	2	1	no	—
318	C₄	—	2	2	no	—
319	C₄	—	2	2	no	—
320	C₄	—	2	1	no	—
321	C₄	—	2	2	no	—
322	C₄	—	2	1	no	—
323	C₄	—	2	1	no	—
324	C₄	—	2	2	no	—
325	C₄	—	2	1	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	1	no	—
328	C₄	C₂×#41	1	2	yes	—
329	C₂	—	2	2	no	—
330	C₂	—	2	4	no	—
331	C₂	—	4	1	no	—
332	C₂	—	4	2	no	—
333	C₂	—	4	2	no	—
334	C₂	—	4	1	no	—
335	C₂	C₂²×#41	1	1	yes	characteristic
336	C₂	C₂×H(5,𝔽₂)	1	1	yes	characteristic
337	C₂	#585	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂²	C₂⁵
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #559	C₂	semidirect
2. #554	C₂	semidirect
3. #553	C₂	semidirect
4. #553	C₂	semidirect
5. #552	C₂	semidirect
6. #551	C₂	semidirect
7. #551	C₂	semidirect
8. #547	C₂	semidirect
9. #546	C₂	semidirect
10. #546	C₂	semidirect
11. #546	C₂	semidirect
12. D₄²	C₂	semidirect
13. #542	C₂	semidirect
14. #540	C₂	semidirect
15. #539	C₂	semidirect
16. #538	C₂	semidirect
17. #529	C₂	semidirect
18. #529	C₂	semidirect
19. #525	C₂	semidirect
20. C₂×#123	C₂	semidirect
21. #520	C₂	semidirect
22. #518	C₂	semidirect
23. C₂×C₄×D₄	C₂	semidirect
25. C₂×#41	C₂²	semidirect
29. C₂³×C₄	C₂²	semidirect
30. C₄⋊Q₈	C₂²	semidirect
32. #126	C₂²	semidirect
33. #126	C₂²	semidirect
34. #126	C₂²	semidirect
35. #126	C₂²	semidirect
36. #126	C₂²	semidirect
37. #126	C₂²	semidirect
38. #125	C₂²	semidirect
39. #125	C₂²	semidirect
40. #125	C₂²	semidirect
41. #125	C₂²	semidirect
42. #124	C₂²	semidirect
43. #124	C₂²	semidirect
44. #124	C₂²	semidirect
45. #124	C₂²	semidirect
46. #124	C₂²	semidirect
49. #123	C₂²	semidirect
50. #123	C₂²	semidirect
51. #123	C₂²	semidirect
52. #123	C₂²	semidirect
53. #123	C₂²	semidirect
54. #123	C₂²	semidirect
55. #123	C₂²	semidirect
56. #123	C₂²	semidirect
57. #123	C₂²	semidirect
58. #123	C₂²	semidirect
59. #123	C₂²	semidirect
60. #123	C₂²	semidirect
61. C₂²⋊Q₈	C₂²	semidirect
62. C₂²⋊Q₈	C₂²	semidirect
63. C₂²⋊Q₈	C₂²	semidirect
64. C₂²⋊Q₈	C₂²	semidirect
65. C₂²⋊Q₈	C₂²	semidirect
66. C₂²⋊Q₈	C₂²	semidirect
67. C₂²⋊Q₈	C₂²	semidirect
68. C₂²⋊Q₈	C₂²	semidirect
73. #121	C₂²	semidirect
74. #121	C₂²	semidirect
75. #121	C₂²	semidirect
76. #121	C₂²	semidirect
77. #121	C₂²	semidirect
78. #121	C₂²	semidirect
79. #121	C₂²	semidirect
82. #120	C₂²	semidirect
83. #120	C₂²	semidirect
84. C₄×Q₈	C₂²	semidirect
85. C₄×Q₈	C₂²	semidirect
86. C₄×Q₈	C₂²	semidirect
92. C₄×D₄	C₂²	semidirect
93. C₄×D₄	C₂²	semidirect
94. C₄×D₄	C₂²	semidirect
95. C₄×D₄	C₂²	semidirect
96. C₄×D₄	C₂²	semidirect
97. C₄×D₄	C₂²	semidirect
98. C₄×D₄	C₂²	semidirect
99. C₄×D₄	C₂²	semidirect
100. C₄×D₄	C₂²	semidirect
101. C₄×D₄	C₂²	semidirect
102. C₄×D₄	C₂²	semidirect
103. C₄×D₄	C₂²	semidirect
104. C₄×D₄	C₂²	semidirect
105. C₄×D₄	C₂²	semidirect
106. C₄×D₄	C₂²	semidirect
107. #117	C₂²	semidirect
108. #117	C₂²	semidirect
109. #117	C₂²	semidirect
110. #117	C₂²	semidirect
111. #117	C₂²	semidirect
112. #117	C₂²	semidirect
113. C₂×C₄⋊C₄	C₂²	semidirect
114. C₂×C₄⋊C₄	C₂²	semidirect
115. C₂×C₄⋊C₄	C₂²	semidirect
116. C₂×C₄⋊C₄	C₂²	semidirect
117. C₂×C₂²⋊C₄	C₂²	semidirect
118. C₂×C₂²⋊C₄	C₂²	semidirect
119. C₂×C₂²⋊C₄	C₂²	semidirect
120. C₂×C₂²⋊C₄	C₂²	semidirect
121. C₂×C₂²⋊C₄	C₂²	semidirect
122. C₂×C₄²	C₂²	semidirect
257. D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#559	2
#554	2
#553	2
#552	2
#551	2
#547	2
#546	2
D₄²	2
#542	2
#540	2
#539	2
#538	2
#529	2
#525	2
C₂×#123	2
#520	2
#518	2
C₂×C₄×D₄	2