Subgroups — #72310807

Order 2048.

At least 7783 conjugacy classes of subgroups; only the 482 normal subgroups are shown.

The subgroup lattice has 331 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72310802	C₂	1	1	yes	maximal, characteristic, complemented
2	#72310800	C₂	1	1	yes	maximal, characteristic, complemented
3	#72310796	C₂	1	1	yes	maximal, characteristic, complemented
4	#72310794	C₂	1	1	yes	maximal, characteristic, complemented
5	#72310785	C₂	1	1	yes	maximal, characteristic, complemented
6	#72310760	C₂	1	1	yes	maximal, characteristic, complemented
7	#72310758	C₂	1	1	yes	maximal, characteristic, complemented
8	#72310756	C₂	1	1	yes	maximal, characteristic, complemented
9	#72310753	C₂	1	1	yes	maximal, characteristic, complemented
10	#72310737	C₂	1	1	yes	maximal, characteristic, complemented
11	#72302998	C₂	1	1	yes	maximal, characteristic
12	#72302990	C₂	1	1	yes	maximal, characteristic, complemented
13	#72266931	C₂	1	1	yes	maximal, characteristic, complemented
14	#72265929	C₂	1	1	yes	maximal, characteristic, complemented
15	#72210553	C₂	1	1	yes	maximal, characteristic, complemented
16	#10586106	C₂²	1	1	yes	characteristic
17	#7737041	C₄	1	2	yes	complemented
18	#7737041	C₂²	1	1	yes	characteristic
19	#6628897	C₂²	1	1	yes	characteristic
20	#6628896	C₂²	1	1	yes	characteristic
21	#6470235	C₄	1	2	yes	complemented
22	#6470235	C₂²	1	1	yes	characteristic
23	#6470234	C₄	1	2	yes	complemented
24	#6470234	C₂²	1	1	yes	characteristic
25	#6385981	C₄	1	2	yes	complemented
26	#6385981	C₂²	1	1	yes	characteristic
27	#6374197	C₂²	1	1	yes	characteristic
28	#6374188	C₂²	1	1	yes	characteristic
29	#496238	C₂²	1	1	yes	characteristic, complemented
30	#496238	C₂²	1	1	yes	characteristic, complemented
31	#496237	C₂²	1	1	yes	characteristic, complemented
32	#496237	C₂²	1	1	yes	characteristic, complemented
33	#493438	C₂²	1	1	yes	characteristic
34	#493434	C₂²	1	1	yes	characteristic
35	#493392	C₂²	1	1	yes	characteristic
36	#493392	C₂²	1	1	yes	characteristic
37	#392138	C₂²	1	1	yes	characteristic
38	#392138	C₂²	1	1	yes	characteristic
39	#392138	C₂²	1	1	yes	characteristic
40	#392138	C₂²	1	1	yes	characteristic
41	#382444	C₂²	1	1	yes	characteristic
42	#382444	C₂²	1	1	yes	characteristic
43	#213891	C₂²	1	1	yes	characteristic, complemented
44	#213890	C₂²	1	1	yes	characteristic, complemented
45	#213831	C₂²	1	1	yes	characteristic, complemented
46	#213829	C₂²	1	1	yes	characteristic, complemented
47	#128067	C₂²	1	1	yes	characteristic, complemented
48	#128067	C₂²	1	1	yes	characteristic, complemented
49	#128067	C₂²	1	1	yes	characteristic, complemented
50	#128067	C₂²	1	1	yes	characteristic, complemented
51	#128063	C₂²	1	1	yes	characteristic, complemented
52	#128063	C₂²	1	1	yes	characteristic, complemented
53	#128061	C₂²	1	1	yes	characteristic, complemented
54	#128061	C₂²	1	1	yes	characteristic, complemented
55	C₂×2₋¹⁺⁶	D₄	1	1	yes	characteristic
56	C₂×H(7,𝔽₂)	C₂³	1	1	yes	characteristic
57	#62859	D₄	1	2	yes	—
58	#62859	D₄	1	1	yes	characteristic
59	#62852	C₂×C₄	1	2	yes	—
60	#62852	C₂³	1	1	yes	characteristic
61	#62812	D₄	1	2	yes	—
62	#62812	D₄	1	1	yes	characteristic
63	C₂×#3500	C₂×C₄	1	2	yes	—
64	C₂×#3500	C₂³	1	1	yes	characteristic
65	C₂²×#551	C₂×C₄	1	1	yes	characteristic, complemented
66	C₄×#585	D₄	1	1	yes	characteristic
67	#36955	C₂×C₄	1	2	yes	—
68	#36955	C₂×C₄	1	1	yes	characteristic, complemented
69	#36702	C₂×C₄	1	2	yes	—
70	#36702	C₂×C₄	1	1	yes	characteristic, complemented
71	#35446	C₂×C₄	1	2	yes	complemented
72	#35446	C₂³	1	1	yes	characteristic
73	#35346	C₂×C₄	1	2	yes	complemented
74	#35346	C₂³	1	1	yes	characteristic
75	#34366	C₂×C₄	1	1	yes	characteristic, complemented
76	#34366	C₂×C₄	1	2	yes	complemented
77	#24058	D₄	1	2	yes	—
78	#24058	D₄	1	2	yes	—
79	#24058	D₄	1	2	yes	—
80	#24058	D₄	1	2	yes	—
81	#23901	D₄	1	2	yes	—
82	#23901	D₄	1	2	yes	—
83	#23900	D₄	1	2	yes	—
84	#23900	D₄	1	2	yes	—
85	#21750	C₂×C₄	1	2	yes	—
86	#21750	C₂×C₄	1	2	yes	—
87	#21750	C₂×C₄	1	2	yes	complemented
88	#20592	C₂³	1	1	yes	characteristic
89	#20592	C₂³	1	1	yes	characteristic
90	#20592	C₂³	1	1	yes	characteristic
91	#20592	C₂³	1	1	yes	characteristic
92	#20586	C₂³	1	1	yes	characteristic
93	#20586	C₂³	1	1	yes	characteristic
94	#20586	C₂³	1	1	yes	characteristic
95	#20586	C₂³	1	1	yes	characteristic
96	#20585	C₂×C₄	1	2	yes	complemented
97	#20585	C₂×C₄	1	2	yes	complemented
98	#20585	C₂³	1	1	yes	characteristic
99	#20585	C₂³	1	1	yes	characteristic
100	#10989	D₄	1	2	yes	complemented
101	#10988	D₄	1	2	yes	complemented
102	#10979	D₄	1	2	yes	complemented
103	#10977	D₄	1	2	yes	complemented
104	C₂×#585	C₂²⋊C₄	1	2	yes	—
105	C₂×#585	C₂×D₄	1	1	yes	characteristic
106	C₂×#585	C₂×D₄	1	1	yes	characteristic
107	C₂×#585	C₂×D₄	1	1	yes	characteristic
108	C₂×#585	C₂×D₄	1	2	yes	—
109	C₂²×2₋¹⁺⁴	C₂²⋊C₄	1	2	yes	—
110	C₂²×2₋¹⁺⁴	C₂×D₄	1	1	yes	characteristic
111	C₂²×H(5,𝔽₂)	C₂²×C₄	1	2	yes	—
112	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
113	#3484	C₂×D₄	1	2	yes	—
114	#3484	C₂×D₄	1	2	yes	—
115	#3484	C₂×D₄	1	2	yes	—
116	#3484	C₂×D₄	1	2	yes	—
117	#3449	C₂²⋊C₄	1	2	yes	—
118	#3449	C₂²⋊C₄	1	2	yes	—
119	#3449	C₂×D₄	1	2	yes	—
120	C₂×#536	C₂²⋊C₄	1	2	yes	—
121	C₂×#536	C₂×D₄	1	1	yes	characteristic
122	C₂×#536	C₂×D₄	1	1	yes	characteristic
123	C₂×#536	#41	1	1	yes	characteristic
124	C₂×#535	C₂²×C₄	1	1	yes	characteristic
125	C₂×#535	C₂²×C₄	1	2	yes	—
126	C₂×#535	C₂×D₄	1	1	yes	characteristic
127	C₂×#535	#41	1	1	yes	characteristic
128	C₂×#532	C₂²⋊C₄	1	2	yes	—
129	C₂×#532	C₂×D₄	1	1	yes	characteristic
130	C₂×#532	C₂×D₄	1	1	yes	characteristic
131	C₂×#532	#41	1	1	yes	characteristic
132	C₂²×#124	C₂²×C₄	1	1	yes	characteristic
133	C₂²×#124	C₂×D₄	1	1	yes	characteristic
134	C₂²×#124	#41	1	1	yes	characteristic
135	C₂²×#123	C₂²×C₄	1	1	yes	characteristic
136	C₂²×#123	C₂×D₄	1	1	yes	characteristic
137	C₂²×#123	C₂×D₄	1	1	yes	characteristic
138	C₂²×#120	C₂²×C₄	1	1	yes	characteristic
139	C₂²×#120	C₂×D₄	1	1	yes	characteristic
140	C₂²×#120	C₂×D₄	1	1	yes	characteristic
141	#3428	C₂²⋊C₄	1	2	yes	—
142	#3428	C₂×D₄	1	1	yes	characteristic
143	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	—
144	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
145	C₂²×#100	C₂×D₄	1	2	yes	—
146	C₂×#410	C₂×D₄	1	2	yes	—
147	#2879	C₂×D₄	1	2	yes	—
148	#2849	C₂²⋊C₄	1	4	yes	—
149	#2846	C₂²⋊C₄	1	4	yes	—
150	#2622	C₂²⋊C₄	1	4	yes	—
151	#2622	C₂²⋊C₄	1	4	yes	—
152	#2309	C₂×D₄	1	2	yes	—
153	#2308	C₂²×C₄	1	2	yes	—
154	#2308	C₂²×C₄	1	2	yes	—
155	#2308	C₂²×C₄	1	1	yes	characteristic
156	#2308	C₂²×C₄	1	1	yes	characteristic
157	#2308	C₂×D₄	1	1	yes	characteristic
158	#2308	C₂×D₄	1	1	yes	characteristic
159	#2308	C₂×D₄	1	1	yes	characteristic
160	#2308	C₂×D₄	1	1	yes	characteristic
161	#1898	C₂²⋊C₄	1	4	yes	—
162	#1898	C₂²⋊C₄	1	4	yes	—
163	#1898	C₂²⋊C₄	1	4	yes	—
164	#1898	C₂²⋊C₄	1	4	yes	—
165	#1781	C₂×D₄	1	2	yes	—
166	#1781	C₂×D₄	1	2	yes	—
167	#1781	C₂×D₄	1	2	yes	—
168	#1781	C₂×D₄	1	2	yes	—
169	C₂⁶	C₂×C₂²⋊C₄	1	1	yes	characteristic
170	C₂×H(5,𝔽₂)	#120	1	2	yes	—
171	C₂×H(5,𝔽₂)	#120	1	2	yes	—
172	C₂²×#41	#99	1	4	yes	complemented
173	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
174	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
175	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
176	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
177	C₂²×#41	#120	1	1	yes	characteristic
178	C₂²×#41	#123	1	1	yes	characteristic
179	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
180	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
181	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
182	C₂²×#41	C₂×#41	1	1	yes	characteristic
183	C₂²×#41	H(5,𝔽₂)	1	1	yes	characteristic
184	C₂²×#41	H(5,𝔽₂)	1	1	yes	characteristic
185	C₂³×Q₈	#99	1	4	yes	complemented
186	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
187	C₂³×Q₈	#120	1	1	yes	characteristic
188	C₂³×Q₈	#123	1	1	yes	characteristic
189	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
190	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
191	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
192	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
193	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
194	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
195	C₂³×D₄	C₂×#41	1	1	yes	characteristic
196	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
197	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
198	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
199	#534	#120	1	4	yes	—
200	#534	#120	1	4	yes	—
201	C₂×C₄⋊Q₈	#99	1	2	yes	complemented
202	C₂×C₄⋊Q₈	#121	1	1	yes	characteristic
203	C₂×C₄⋊Q₈	#121	1	1	yes	characteristic
204	C₂×C₄⋊Q₈	#121	1	1	yes	characteristic
205	C₂×#127	#99	1	2	yes	complemented
206	C₂×#127	C₄×D₄	1	1	yes	characteristic
207	C₂×#127	C₄×D₄	1	1	yes	characteristic
208	C₂×#127	#121	1	1	yes	characteristic
209	C₂×#124	#99	1	2	yes	complemented
210	C₂×#124	#99	1	2	yes	complemented
211	C₂×#124	C₄×D₄	1	1	yes	characteristic
212	C₂×#124	C₄×D₄	1	1	yes	characteristic
213	C₂×#124	C₄×D₄	1	1	yes	characteristic
214	C₂×#124	C₄×D₄	1	1	yes	characteristic
215	C₂×#124	C₄×D₄	1	1	yes	characteristic
216	C₂×#124	C₄×D₄	1	1	yes	characteristic
217	C₂×#124	#121	1	1	yes	characteristic
218	C₂×#124	#121	1	1	yes	characteristic
219	C₂×#124	#121	1	1	yes	characteristic
220	C₂×#124	#121	1	1	yes	characteristic
221	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
222	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
223	#518	#120	1	2	yes	—
224	#518	#120	1	2	yes	—
225	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
226	C₂×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
227	C₂×#117	#120	1	1	yes	characteristic
228	C₂×#117	#123	1	1	yes	characteristic
229	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
230	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
231	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
232	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
233	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
234	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
235	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
236	C₂²×C₄²	#120	1	1	yes	characteristic
237	C₂²×C₄²	#123	1	1	yes	characteristic
238	#379	C₂×C₂²⋊C₄	1	4	yes	—
239	#379	C₂×C₂²⋊C₄	1	4	yes	—
240	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
241	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
242	C₂⁵	D₄²	1	1	yes	characteristic
243	C₂⁵	D₄²	1	1	yes	characteristic
244	C₂⁵	#546	1	1	yes	characteristic
245	C₂⁵	#546	1	1	yes	characteristic
246	C₂²×Q₈	#386	1	1	yes	characteristic
247	C₂²×Q₈	#386	1	1	yes	characteristic
248	C₂²×Q₈	#386	1	1	yes	characteristic
249	C₂²×Q₈	C₂×#99	1	2	yes	—
250	C₂²×Q₈	C₂×#99	1	2	yes	—
251	C₂²×Q₈	C₂×#99	1	4	yes	—
252	C₂²×Q₈	C₂×#99	1	2	yes	—
253	C₂²×Q₈	C₂×#121	1	1	yes	characteristic
254	C₂²×Q₈	#534	1	1	yes	characteristic
255	C₂²×D₄	#379	1	4	yes	—
256	C₂²×D₄	#386	1	1	yes	characteristic
257	C₂²×D₄	C₂×#99	1	2	yes	—
258	C₂²×D₄	C₂×#99	1	2	yes	—
259	C₂²×D₄	C₂×#99	1	2	yes	—
260	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
261	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
262	C₂²×D₄	#518	1	1	yes	characteristic
263	C₂²×D₄	#518	1	1	yes	characteristic
264	C₂²×D₄	C₂×#120	1	1	yes	characteristic
265	C₂²×D₄	C₂×#120	1	1	yes	characteristic
266	C₂²×D₄	C₂×#120	1	1	yes	characteristic
267	C₂²×D₄	C₂×#120	1	1	yes	characteristic
268	C₂²×D₄	C₂×#121	1	1	yes	characteristic
269	C₂²×D₄	#534	1	1	yes	characteristic
270	C₂²×D₄	D₄²	1	1	yes	characteristic
271	C₂²×D₄	D₄²	1	1	yes	characteristic
272	C₂²×D₄	D₄²	1	1	yes	characteristic
273	C₂²×D₄	D₄²	1	1	yes	characteristic
274	C₂²×D₄	#546	1	1	yes	characteristic
275	C₂²×D₄	#546	1	1	yes	characteristic
276	C₂²×D₄	#546	1	1	yes	characteristic
277	C₂²×D₄	#546	1	1	yes	characteristic
278	C₂³×C₄	C₂×#99	1	4	yes	—
279	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
280	C₂³×C₄	C₂×#120	1	1	yes	characteristic
281	C₂³×C₄	C₂×#123	1	1	yes	characteristic
282	C₂³×C₄	#534	1	1	yes	characteristic
283	C₂³×C₄	#534	1	1	yes	characteristic
284	C₂³×C₄	D₄²	1	1	yes	characteristic
285	C₂³×C₄	D₄²	1	1	yes	characteristic
286	C₂³×C₄	#546	1	1	yes	characteristic
287	C₂³×C₄	#546	1	1	yes	characteristic
288	C₂×C₂²⋊C₄	#379	1	4	yes	—
289	C₂×C₄²	#386	1	1	yes	characteristic
290	C₂×C₄²	#386	1	1	yes	characteristic
291	C₂×C₄²	#386	1	1	yes	characteristic
292	C₂×C₄²	#386	1	1	yes	characteristic
293	C₂×C₄²	C₂×#99	1	2	yes	—
294	C₂×C₄²	C₂×#99	1	2	yes	—
295	C₂⁴	#1781	1	4	yes	—
296	C₂⁴	C₂×#379	1	1	yes	characteristic
297	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
298	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
299	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
300	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
301	C₂⁴	#2403	1	1	yes	characteristic
302	C₂⁴	#2405	1	1	yes	characteristic
303	C₂⁴	#2410	1	1	yes	characteristic
304	C₂⁴	#2410	1	1	yes	characteristic
305	C₂×Q₈	#1898	1	2	yes	—
306	C₂×Q₈	#1898	1	2	yes	—
307	C₂²×C₄	#1781	1	4	yes	—
308	C₂²×C₄	C₂×#386	1	1	yes	characteristic
309	C₂²×C₄	#2308	1	1	yes	characteristic
310	C₂²×C₄	#2403	1	1	yes	characteristic
311	C₂²×C₄	#2405	1	1	yes	characteristic
312	C₂²×C₄	#2410	1	1	yes	characteristic
313	C₂²×C₄	#2410	1	1	yes	characteristic
314	C₂²×C₄	C₂²×#99	1	2	yes	—
315	C₂²×C₄	C₂²×#99	1	2	yes	—
316	C₄²	#1898	1	1	yes	characteristic
317	C₄²	#1898	1	1	yes	characteristic
318	C₄²	#1898	1	2	yes	—
319	C₂³	#13867	1	1	yes	characteristic
320	C₂³	C₂×#1781	1	2	yes	—
321	C₂³	#23895	1	2	yes	—
322	C₂×C₄	C₂×#1898	1	1	yes	characteristic
323	C₂×C₄	C₂×#1898	1	1	yes	characteristic
324	C₂×C₄	#21746	1	2	yes	—
325	C₂×C₄	#23895	1	2	yes	—
326	C₂²	#359428	1	1	yes	characteristic
327	C₂²	#359549	1	1	yes	characteristic
328	C₂²	#359549	1	1	yes	characteristic
329	C₂	#72218180	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72218180
commutator	C₂³×D₄	C₂³×C₄
Frattini, cosocle	C₂²×H(5,𝔽₂)	C₂⁴
prime radical	#72302998	C₂
LCS	G ▷ C₂³×D₄ ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂³ ◁ C₂²×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂²×H(5,𝔽₂) ▷ C₂³ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72310802	C₂	semidirect
2. #72310800	C₂	semidirect
3. #72310796	C₂	semidirect
4. #72310794	C₂	semidirect
5. #72310785	C₂	semidirect
6. #72310760	C₂	semidirect
7. #72310758	C₂	semidirect
8. #72310756	C₂	semidirect
9. #72310753	C₂	semidirect
10. #72310737	C₂	semidirect
12. #72302990	C₂	semidirect
13. #72266931	C₂	semidirect
14. #72265929	C₂	semidirect
15. #72210553	C₂	semidirect
17. #7737041	C₄	semidirect
21. #6470235	C₄	semidirect
23. #6470234	C₄	semidirect
25. #6385981	C₄	semidirect
29. #496238	C₂²	semidirect
30. #496238	C₂²	semidirect
31. #496237	C₂²	semidirect
32. #496237	C₂²	semidirect
43. #213891	C₂²	semidirect
44. #213890	C₂²	semidirect
45. #213831	C₂²	semidirect
46. #213829	C₂²	semidirect
47. #128067	C₂²	semidirect
48. #128067	C₂²	semidirect
49. #128067	C₂²	semidirect
50. #128067	C₂²	semidirect
51. #128063	C₂²	semidirect
52. #128063	C₂²	semidirect
53. #128061	C₂²	semidirect
54. #128061	C₂²	semidirect
65. C₂²×#551	C₂×C₄	semidirect
68. #36955	C₂×C₄	semidirect
70. #36702	C₂×C₄	semidirect
71. #35446	C₂×C₄	semidirect
73. #35346	C₂×C₄	semidirect
75. #34366	C₂×C₄	semidirect
76. #34366	C₂×C₄	semidirect
87. #21750	C₂×C₄	semidirect
96. #20585	C₂×C₄	semidirect
97. #20585	C₂×C₄	semidirect
100. #10989	D₄	semidirect
101. #10988	D₄	semidirect
102. #10979	D₄	semidirect
103. #10977	D₄	semidirect
172. C₂²×#41	#99	semidirect
185. C₂³×Q₈	#99	semidirect
201. C₂×C₄⋊Q₈	#99	semidirect
205. C₂×#127	#99	semidirect
209. C₂×#124	#99	semidirect
210. C₂×#124	#99	semidirect

Maximal subgroups

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

subgroup	index
#72310802	2
#72310800	2
#72310796	2
#72310794	2
#72310785	2
#72310760	2
#72310758	2
#72310756	2
#72310753	2
#72310737	2
#72302998	2
#72302990	2
#72266931	2
#72265929	2
#72210553	2