Subgroups — #72237928

Order 2048.

At least 6071 conjugacy classes of subgroups; only the 976 normal subgroups are shown.

The subgroup lattice has 336 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72237881	C₂	1	1	yes	maximal, characteristic, complemented
2	#72237870	C₂	1	1	yes	maximal, characteristic, complemented
3	#72237868	C₂	1	1	yes	maximal, characteristic, complemented
4	#72237843	C₂	1	8	yes	maximal, complemented
5	#72237832	C₂	1	8	yes	maximal, complemented
6	C₂×#9061085	C₂	1	1	yes	maximal, characteristic, complemented
7	#72234597	C₂	1	1	yes	maximal, characteristic, complemented
8	#72233085	C₂	1	2	yes	maximal, complemented
9	#72233080	C₂	1	2	yes	maximal, complemented
10	#72231473	C₂	1	2	yes	maximal, complemented
11	#72231451	C₂	1	2	yes	maximal, complemented
12	#72225734	C₂	1	1	yes	maximal, characteristic, complemented
13	#72219325	C₂	1	1	yes	maximal, characteristic, complemented
14	#9061085	C₂²	1	8	yes	—
15	C₂×#47827	C₂²	1	2	yes	—
16	C₂×#47031	C₂²	1	1	yes	characteristic
17	C₂×#46996	C₂²	1	1	yes	characteristic
18	C₂×#58990	C₂²	1	2	yes	—
19	C₂×#35348	C₂²	1	1	yes	characteristic
20	#6470225	C₂²	1	2	yes	complemented
21	#6470019	C₂²	1	2	yes	complemented
22	#6437621	C₂²	1	1	yes	characteristic, complemented
23	C₂×#23900	C₂²	1	1	yes	characteristic, complemented
24	#6374210	C₂²	1	1	yes	characteristic, complemented
25	#500228	C₂²	1	8	yes	complemented
26	#500218	C₂²	1	8	yes	complemented
27	#499804	C₂²	1	8	yes	complemented
28	#499787	C₂²	1	8	yes	complemented
29	#496225	C₂²	1	2	yes	complemented
30	#496225	C₂²	1	2	yes	complemented
31	#496189	C₂²	1	2	yes	complemented
32	#496189	C₂²	1	2	yes	complemented
33	#493357	C₂²	1	2	yes	complemented
34	C₂×#12687	C₂²	1	2	yes	complemented
35	#451035	C₂²	1	4	yes	complemented
36	#417542	C₂²	1	4	yes	complemented
37	#382707	C₂²	1	1	yes	characteristic, complemented
38	#359501	C₂²	1	1	yes	characteristic, complemented
39	#359442	C₂²	1	1	yes	characteristic, complemented
40	#251937	C₂²	1	4	yes	complemented
41	#251935	C₂²	1	4	yes	complemented
42	#251829	C₂²	1	4	yes	complemented
43	#251827	C₂²	1	4	yes	complemented
44	#201664	C₂²	1	2	yes	complemented
45	#201293	C₂²	1	2	yes	complemented
46	#190147	C₂²	1	1	yes	characteristic, complemented
47	#190116	C₂²	1	1	yes	characteristic, complemented
48	#133922	C₂²	1	8	yes	complemented
49	#133435	C₂²	1	8	yes	complemented
50	#133422	C₂²	1	8	yes	complemented
51	#133406	C₂²	1	16	yes	complemented
52	#133390	C₂²	1	16	yes	complemented
53	C₂×#3484	C₂³	1	1	yes	characteristic
54	C₂²×D₄²	D₄	1	2	yes	complemented
55	C₂²×D₄²	D₄	1	2	yes	complemented
56	C₂²×#534	C₂³	1	1	yes	characteristic
57	C₂³×#120	D₄	1	1	yes	characteristic, complemented
58	C₂³×#120	C₂³	1	1	yes	characteristic
59	C₂²×#518	D₄	1	1	yes	characteristic, complemented
60	C₂×#3026	C₂³	1	2	yes	complemented
61	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	complemented
62	#58990	D₄	1	8	yes	complemented
63	#58990	C₂³	1	8	yes	—
64	C₂×#2709	D₄	1	2	yes	complemented
65	C₂×#2697	D₄	1	2	yes	complemented
66	C₂×#2679	D₄	1	2	yes	complemented
67	C₂×#2669	D₄	1	2	yes	complemented
68	#47827	D₄	1	8	yes	complemented
69	#47827	C₂³	1	8	yes	—
70	#47031	D₄	1	4	yes	complemented
71	#47031	C₂³	1	4	yes	—
72	#46996	D₄	1	4	yes	complemented
73	#46996	C₂³	1	4	yes	—
74	C₂×#2840	D₄	1	1	yes	characteristic, complemented
75	C₂×#2815	D₄	1	1	yes	characteristic, complemented
76	#35348	D₄	1	4	yes	complemented
77	#35348	C₂³	1	4	yes	—
78	C₂×#2607	D₄	1	1	yes	characteristic, complemented
79	C₂×#2433	C₂³	1	2	yes	—
80	C₂×#2403	D₄	1	1	yes	characteristic, complemented
81	C₂×#2403	C₂³	1	2	yes	—
82	C₂×#2375	D₄	1	2	yes	complemented
83	#34171	C₂³	1	1	yes	characteristic
84	C₂×#2358	D₄	1	2	yes	complemented
85	C₂×#2333	D₄	1	2	yes	complemented
86	C₂×#2315	D₄	1	1	yes	characteristic, complemented
87	C₂×#2308	D₄	1	2	yes	complemented
88	C₂×#2308	C₂³	1	1	yes	characteristic
89	C₂²×#379	D₄	1	1	yes	characteristic, complemented
90	#33020	C₂³	1	4	yes	complemented
91	#32990	C₂³	1	4	yes	complemented
92	#32898	C₂³	1	4	yes	complemented
93	#32888	C₂³	1	4	yes	complemented
94	#20960	C₂³	1	2	yes	complemented
95	C₂×#1889	C₂³	1	2	yes	complemented
96	#20689	C₂³	1	2	yes	complemented
97	C₂×#1783	C₂³	1	2	yes	—
98	#20585	C₂³	1	2	yes	complemented
99	C₂×#1781	C₂³	1	2	yes	—
100	C₂×#1781	C₂³	1	1	yes	characteristic
101	C₂×#1781	C₂³	1	1	yes	characteristic
102	#13088	C₂³	1	8	yes	complemented
103	#13088	C₂³	1	8	yes	complemented
104	#13086	C₂³	1	8	yes	complemented
105	#13086	C₂³	1	8	yes	complemented
106	#12690	C₂³	1	8	yes	complemented
107	#12687	C₂³	1	8	yes	complemented
108	#11166	C₂³	1	4	yes	complemented
109	#10991	C₂³	1	4	yes	complemented
110	#10972	C₂³	1	4	yes	complemented
111	#9495	C₂³	1	8	yes	complemented
112	#9463	C₂³	1	8	yes	complemented
113	#8751	C₂³	1	4	yes	complemented
114	#8746	C₂³	1	4	yes	complemented
115	C₂⁷	C₂×D₄	1	1	yes	characteristic
116	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
117	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
118	C₂⁴×D₄	C₂×D₄	1	2	yes	—
119	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
120	C₂×D₄²	C₂×D₄	1	8	yes	—
121	C₂×D₄²	C₂×D₄	1	8	yes	—
122	C₂×#534	C₂×D₄	1	4	yes	—
123	C₂×#534	C₂×D₄	1	2	yes	—
124	C₂×#534	C₂⁴	1	2	yes	—
125	C₂²×#127	C₂×D₄	1	2	yes	—
126	C₂²×#127	C₂×D₄	1	2	yes	—
127	C₂²×#123	C₂×D₄	1	2	yes	—
128	C₂²×#121	C₂×D₄	1	2	yes	—
129	C₂²×#120	C₂×D₄	1	2	yes	—
130	C₂²×#120	C₂×D₄	1	2	yes	—
131	C₂²×#120	C₂×D₄	1	4	yes	—
132	C₂²×#120	C₂×D₄	1	2	yes	—
133	C₂²×#120	C₂×D₄	1	2	yes	—
134	C₂²×#120	C₂×D₄	1	2	yes	—
135	C₂²×#120	C₂×D₄	1	4	yes	—
136	C₂²×#120	C₂×D₄	1	2	yes	—
137	C₂²×#120	C₂⁴	1	2	yes	—
138	C₂×#518	C₂×D₄	1	4	yes	—
139	C₂×#518	C₂⁴	1	1	yes	characteristic
140	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
141	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
142	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
143	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
144	C₂²×#99	C₂⁴	1	2	yes	—
145	C₂²×#99	C₂⁴	1	2	yes	—
146	#2840	C₂×D₄	1	4	yes	—
147	#2815	C₂×D₄	1	4	yes	—
148	#2709	C₂×D₄	1	8	yes	—
149	#2697	C₂×D₄	1	8	yes	—
150	#2679	C₂×D₄	1	8	yes	—
151	#2669	C₂×D₄	1	8	yes	—
152	#2607	C₂×D₄	1	4	yes	—
153	#2433	C₂×D₄	1	4	yes	—
154	#2433	C₂×D₄	1	4	yes	—
155	#2433	C₂×D₄	1	4	yes	—
156	#2433	C₂⁴	1	4	yes	—
157	#2403	C₂×D₄	1	4	yes	—
158	#2403	C₂×D₄	1	4	yes	—
159	#2403	C₂×D₄	1	4	yes	—
160	#2403	C₂×D₄	1	4	yes	—
161	#2403	C₂⁴	1	4	yes	—
162	#2375	C₂×D₄	1	8	yes	—
163	#2358	C₂×D₄	1	8	yes	—
164	#2333	C₂×D₄	1	8	yes	—
165	#2315	C₂×D₄	1	4	yes	—
166	#2308	C₂×D₄	1	8	yes	—
167	#2308	C₂×D₄	1	2	yes	—
168	#2308	C₂×D₄	1	2	yes	—
169	#2308	C₂×D₄	1	2	yes	—
170	#2308	C₂⁴	1	2	yes	—
171	#2308	C₂⁴	1	2	yes	—
172	C₂×#390	C₂×D₄	1	2	yes	—
173	C₂×#390	C₂×D₄	1	2	yes	—
174	C₂×#386	C₂×D₄	1	2	yes	—
175	C₂×#386	C₂×D₄	1	2	yes	—
176	C₂×#381	C₂×D₄	1	1	yes	characteristic
177	C₂×#381	C₂×D₄	1	1	yes	characteristic
178	C₂×#379	C₂×D₄	1	1	yes	characteristic
179	C₂×#379	C₂×D₄	1	2	yes	—
180	C₂×#379	C₂×D₄	1	1	yes	characteristic
181	C₂×#379	C₂×D₄	1	4	yes	—
182	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
183	#1783	C₂⁴	1	4	yes	—
184	#1781	C₂⁴	1	4	yes	—
185	C₂⁶	#120	1	1	yes	characteristic
186	C₂⁶	#120	1	2	yes	—
187	C₂⁶	#120	1	2	yes	—
188	C₂⁶	#120	1	2	yes	—
189	C₂⁶	C₂²×D₄	1	1	yes	characteristic
190	C₂⁶	C₂²×D₄	1	1	yes	characteristic
191	C₂⁶	C₂²×D₄	1	2	yes	—
192	C₂³×D₄	#120	1	2	yes	—
193	C₂³×D₄	#120	1	4	yes	—
194	C₂³×D₄	#120	1	2	yes	—
195	C₂³×D₄	C₂²×D₄	1	2	yes	—
196	C₂³×D₄	C₂²×D₄	1	4	yes	—
197	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
198	C₂³×D₄	C₂²×D₄	1	2	yes	—
199	C₂³×D₄	C₂²×D₄	1	2	yes	—
200	C₂³×D₄	C₂²×D₄	1	2	yes	—
201	C₂³×D₄	C₂²×D₄	1	2	yes	—
202	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
203	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
204	C₂³×D₄	C₂⁵	1	1	yes	characteristic
205	C₂⁴×C₄	#120	1	1	yes	characteristic
206	C₂⁴×C₄	#120	1	2	yes	—
207	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
208	C₂×#127	#120	1	4	yes	—
209	C₂×#127	#120	1	4	yes	—
210	C₂×#127	C₂²×D₄	1	4	yes	—
211	C₂×#127	C₂²×D₄	1	4	yes	—
212	C₂×#123	#120	1	4	yes	—
213	C₂×#123	C₂²×D₄	1	4	yes	—
214	C₂×#121	#120	1	4	yes	—
215	C₂×#121	C₂²×D₄	1	4	yes	—
216	C₂×#120	#120	1	4	yes	—
217	C₂×#120	#120	1	4	yes	—
218	C₂×#120	#120	1	4	yes	—
219	C₂×#120	#120	1	4	yes	—
220	C₂×#120	#120	1	4	yes	—
221	C₂×#120	C₂²×D₄	1	4	yes	—
222	C₂×#120	C₂²×D₄	1	4	yes	—
223	C₂×#120	C₂²×D₄	1	4	yes	—
224	C₂×#120	C₂²×D₄	1	4	yes	—
225	C₂×#120	C₂²×D₄	1	4	yes	—
226	C₂²×C₄⋊C₄	#120	1	2	yes	—
227	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
228	C₂²×C₂²⋊C₄	#120	1	2	yes	—
229	C₂²×C₂²⋊C₄	#120	1	2	yes	—
230	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
231	C₂²×C₂²⋊C₄	#120	1	2	yes	—
232	C₂²×C₂²⋊C₄	#120	1	2	yes	—
233	C₂²×C₂²⋊C₄	#120	1	2	yes	—
234	C₂²×C₂²⋊C₄	#120	1	2	yes	—
235	C₂²×C₂²⋊C₄	#120	1	2	yes	—
236	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
237	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
238	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
239	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
240	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
241	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
242	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
243	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
244	C₂²×C₄²	#120	1	2	yes	—
245	C₂²×C₄²	#120	1	2	yes	—
246	#390	#120	1	4	yes	—
247	#390	#120	1	4	yes	—
248	#390	C₂²×D₄	1	4	yes	—
249	#390	C₂²×D₄	1	4	yes	—
250	#386	#120	1	4	yes	—
251	#386	#120	1	4	yes	—
252	#386	C₂²×D₄	1	4	yes	—
253	#386	C₂²×D₄	1	4	yes	—
254	#381	#120	1	2	yes	—
255	#381	#120	1	2	yes	—
256	#381	C₂²×D₄	1	2	yes	—
257	#381	C₂²×D₄	1	2	yes	—
258	#379	#120	1	2	yes	—
259	#379	#120	1	4	yes	—
260	#379	#120	1	2	yes	—
261	#379	C₂²×D₄	1	2	yes	—
262	#379	C₂²×D₄	1	4	yes	—
263	#379	C₂²×D₄	1	2	yes	—
264	C₄×C₂²⋊C₄	#120	1	4	yes	—
265	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
266	C₂⁵	C₂×#120	1	1	yes	characteristic
267	C₂⁵	C₂×#120	1	1	yes	characteristic
268	C₂⁵	C₂×#120	1	1	yes	characteristic
269	C₂⁵	C₂×#120	1	1	yes	characteristic
270	C₂⁵	C₂×#120	1	4	yes	—
271	C₂⁵	C₂×#120	1	2	yes	—
272	C₂⁵	C₂×#120	1	1	yes	characteristic
273	C₂⁵	C₂×#120	1	1	yes	characteristic
274	C₂⁵	C₂×#120	1	2	yes	—
275	C₂⁵	C₂×#120	1	2	yes	—
276	C₂⁵	C₂×#120	1	4	yes	—
277	C₂⁵	C₂×#120	1	1	yes	characteristic
278	C₂⁵	C₂³×D₄	1	1	yes	characteristic
279	C₂⁵	C₂³×D₄	1	1	yes	characteristic
280	C₂²×D₄	C₂×#120	1	2	yes	—
281	C₂²×D₄	C₂×#120	1	2	yes	—
282	C₂²×D₄	C₂×#120	1	2	yes	—
283	C₂²×D₄	C₂×#120	1	2	yes	—
284	C₂²×D₄	C₂×#120	1	4	yes	—
285	C₂²×D₄	C₂×#120	1	2	yes	—
286	C₂²×D₄	C₂×#120	1	2	yes	—
287	C₂²×D₄	C₂³×D₄	1	2	yes	—
288	C₂²×D₄	C₂³×D₄	1	2	yes	—
289	C₂³×C₄	C₂×#120	1	2	yes	—
290	C₂³×C₄	C₂×#120	1	1	yes	characteristic
291	C₂³×C₄	C₂×#120	1	2	yes	—
292	C₂³×C₄	C₂×#120	1	2	yes	—
293	C₂³×C₄	C₂×#120	1	4	yes	—
294	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
295	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
296	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
297	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
298	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
299	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
300	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
301	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
302	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
303	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
304	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
305	C₂×C₄²	C₂×#120	1	4	yes	—
306	C₂×C₄²	C₂×#120	1	4	yes	—
307	C₂⁴	#2846	1	1	yes	characteristic
308	C₂⁴	#2846	1	1	yes	characteristic
309	C₂⁴	#2846	1	2	yes	—
310	C₂⁴	#2846	1	1	yes	characteristic
311	C₂⁴	#2846	1	1	yes	characteristic
312	C₂⁴	#3025	1	2	yes	—
313	C₂⁴	#3026	1	4	yes	—
314	C₂⁴	#3027	1	2	yes	—
315	C₂⁴	C₂²×#120	1	2	yes	—
316	C₂⁴	C₂²×#120	1	1	yes	characteristic
317	C₂⁴	C₂²×#120	1	1	yes	characteristic
318	C₂⁴	C₂²×#120	1	1	yes	characteristic
319	C₂²×C₄	#2846	1	2	yes	—
320	C₂²×C₄	C₂²×#120	1	2	yes	—
321	C₂²⋊C₄	#3026	1	4	yes	—
322	C₂³	#32899	1	2	yes	—
323	C₂³	#32899	1	2	yes	—
324	C₂³	C₂×#2846	1	1	yes	characteristic
325	C₂³	C₂×#3025	1	1	yes	characteristic
326	C₂³	C₂×#3026	1	2	yes	—
327	C₂³	C₂×#3026	1	2	yes	—
328	C₂³	C₂×#3027	1	1	yes	characteristic
329	C₂²	#511853	1	4	yes	—
330	C₂²	C₂×#32899	1	1	yes	characteristic
331	C₂²	#6628892	1	1	yes	characteristic
332	C₂²	#6628892	1	1	yes	characteristic
333	C₂	#72235768	1	1	yes	characteristic
334	C₂	C₂×#511853	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂×#32899
commutator, Frattini, cosocle	C₂³×D₄	C₂⁵
LCS	G ▷ C₂³×D₄ ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁵ ◁ C₂×#2308 ◁ G
LECS	G ▷ C₂³×D₄ ▷ C₂³ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72237881	C₂	semidirect
2. #72237870	C₂	semidirect
3. #72237868	C₂	semidirect
4. #72237843	C₂	semidirect
5. #72237832	C₂	semidirect
6. C₂×#9061085	C₂	semidirect
7. #72234597	C₂	semidirect
8. #72233085	C₂	semidirect
9. #72233080	C₂	semidirect
10. #72231473	C₂	semidirect
11. #72231451	C₂	semidirect
12. #72225734	C₂	semidirect
13. #72219325	C₂	semidirect
20. #6470225	C₂²	semidirect
21. #6470019	C₂²	semidirect
22. #6437621	C₂²	semidirect
23. C₂×#23900	C₂²	semidirect
24. #6374210	C₂²	semidirect
25. #500228	C₂²	semidirect
26. #500218	C₂²	semidirect
27. #499804	C₂²	semidirect
28. #499787	C₂²	semidirect
29. #496225	C₂²	semidirect
30. #496225	C₂²	semidirect
31. #496189	C₂²	semidirect
32. #496189	C₂²	semidirect
33. #493357	C₂²	semidirect
34. C₂×#12687	C₂²	semidirect
35. #451035	C₂²	semidirect
36. #417542	C₂²	semidirect
37. #382707	C₂²	semidirect
38. #359501	C₂²	semidirect
39. #359442	C₂²	semidirect
40. #251937	C₂²	semidirect
41. #251935	C₂²	semidirect
42. #251829	C₂²	semidirect
43. #251827	C₂²	semidirect
44. #201664	C₂²	semidirect
45. #201293	C₂²	semidirect
46. #190147	C₂²	semidirect
47. #190116	C₂²	semidirect
48. #133922	C₂²	semidirect
49. #133435	C₂²	semidirect
50. #133422	C₂²	semidirect
51. #133406	C₂²	semidirect
52. #133390	C₂²	semidirect
54. C₂²×D₄²	D₄	semidirect
55. C₂²×D₄²	D₄	semidirect
57. C₂³×#120	D₄	semidirect
59. C₂²×#518	D₄	semidirect
60. C₂×#3026	C₂³	semidirect
61. C₂²×B(4,𝔽₂)	C₂³	semidirect
62. #58990	D₄	semidirect
64. C₂×#2709	D₄	semidirect
65. C₂×#2697	D₄	semidirect
66. C₂×#2679	D₄	semidirect
67. C₂×#2669	D₄	semidirect
68. #47827	D₄	semidirect
70. #47031	D₄	semidirect
72. #46996	D₄	semidirect
74. C₂×#2840	D₄	semidirect
75. C₂×#2815	D₄	semidirect
76. #35348	D₄	semidirect
78. C₂×#2607	D₄	semidirect
80. C₂×#2403	D₄	semidirect
82. C₂×#2375	D₄	semidirect
84. C₂×#2358	D₄	semidirect
85. C₂×#2333	D₄	semidirect
86. C₂×#2315	D₄	semidirect
87. C₂×#2308	D₄	semidirect
89. C₂²×#379	D₄	semidirect
90. #33020	C₂³	semidirect
91. #32990	C₂³	semidirect
92. #32898	C₂³	semidirect
93. #32888	C₂³	semidirect
94. #20960	C₂³	semidirect
95. C₂×#1889	C₂³	semidirect
96. #20689	C₂³	semidirect
98. #20585	C₂³	semidirect
102. #13088	C₂³	semidirect
103. #13088	C₂³	semidirect
104. #13086	C₂³	semidirect
105. #13086	C₂³	semidirect
106. #12690	C₂³	semidirect
107. #12687	C₂³	semidirect
108. #11166	C₂³	semidirect
109. #10991	C₂³	semidirect
110. #10972	C₂³	semidirect
111. #9495	C₂³	semidirect
112. #9463	C₂³	semidirect
113. #8751	C₂³	semidirect
114. #8746	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#72237881	2
#72237870	2
#72237868	2
#72237843	2
#72237832	2
C₂×#9061085	2
#72234597	2
#72233085	2
#72233080	2
#72231473	2
#72231451	2
#72225734	2
#72219325	2