Subgroups — C₂×#72233774 #72251911

Order 2048.

Only the 47288 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 967 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10574874	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#6371562	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#6370755	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#6371543	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#6437578	C₂	1	12	yes	maximal, complemented
6	C₂×#6371525	C₂	1	2	yes	maximal, complemented
7	C₂×#6431739	C₂	1	2	yes	maximal, complemented
8	C₂×#10574846	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#10586999	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#6437575	C₂	1	12	yes	maximal, complemented
11	C₂×#6431743	C₂	1	2	yes	maximal, complemented
12	C₂×#6437576	C₂	1	12	yes	maximal, complemented
13	C₂×#10586066	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#23882	C₂	1	12	yes	maximal, complemented
15	#72233774	C₂	1	64	yes	maximal, direct product factor
16	C₂×#10574840	C₂	1	2	yes	maximal, complemented
17	C₂×#63103	C₂²	1	1	yes	characteristic, complemented
18	C₂²×H(7,𝔽₂)	C₂²	1	1	yes	characteristic
19	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
20	#10586999	C₂²	1	32	yes	complemented
21	C₂×#63090	C₂²	1	2	yes	complemented
22	C₂×#63090	C₂²	1	12	yes	complemented
23	C₂²×#3585	C₂²	1	2	yes	—
24	C₂²×#3585	C₂²	1	2	yes	complemented
25	C₂²×#3585	C₂²	1	12	yes	complemented
26	C₂×#63076	C₂²	1	1	yes	characteristic, complemented
27	#10586066	C₂²	1	32	yes	complemented
28	C₂×#62852	C₂²	1	1	yes	characteristic
29	C₂×#62852	C₂²	1	6	yes	complemented
30	C₂×#62852	C₂²	1	1	yes	characteristic, complemented
31	C₂×#62842	C₂²	1	6	yes	complemented
32	C₂×#62811	C₂²	1	1	yes	characteristic
33	C₂×#62811	C₂²	1	6	yes	complemented
34	C₂×#62811	C₂²	1	2	yes	complemented
35	C₂×#62811	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#3484	C₂²	1	6	yes	complemented
37	C₂×#62652	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60398	C₂²	1	12	yes	complemented
39	C₂²×#3025	C₂²	1	12	yes	complemented
40	#10574874	C₂²	1	32	yes	complemented
41	#10574846	C₂²	1	32	yes	complemented
42	#10574840	C₂²	1	64	yes	complemented
43	C₂×#60367	C₂²	1	12	yes	complemented
44	C₂×#60367	C₂²	1	12	yes	complemented
45	C₂×#60387	C₂²	1	12	yes	complemented
46	C₂×#60359	C₂²	1	12	yes	complemented
47	C₂²×#3021	C₂²	1	12	yes	complemented
48	C₂²×#3003	C₂²	1	12	yes	complemented
49	C₂×#60064	C₂²	1	2	yes	complemented
50	C₂×#60070	C₂²	1	2	yes	complemented
51	C₂×#60070	C₂²	1	1	yes	characteristic, complemented
52	C₂×#60076	C₂²	1	1	yes	characteristic, complemented
53	C₂×#60093	C₂²	1	2	yes	complemented
54	C₂×#60093	C₂²	1	2	yes	complemented
55	C₂×#60087	C₂²	1	2	yes	complemented
56	C₂×#60087	C₂²	1	2	yes	complemented
57	#6437578	C₂²	1	384	yes	complemented
58	#6437576	C₂²	1	384	yes	complemented
59	#6437575	C₂²	1	384	yes	complemented
60	C₂×#23885	C₂²	1	16	yes	complemented
61	C₂×#23884	C₂²	1	48	yes	complemented
62	C₂×#23883	C₂²	1	48	yes	complemented
63	C₂×#23882	C₂²	1	384	yes	complemented
64	C₂×#23882	C₂²	1	48	yes	complemented
65	C₂×#23882	C₂²	1	96	yes	complemented
66	#6431743	C₂²	1	64	yes	complemented
67	C₂×#23414	C₂²	1	24	yes	complemented
68	C₂²×#2010	C₂²	1	24	yes	complemented
69	#6431739	C₂²	1	64	yes	complemented
70	C₂×#23412	C₂²	1	24	yes	complemented
71	C₂²×#2008	C₂²	1	24	yes	complemented
72	#6371562	C₂²	1	32	yes	complemented
73	#6371543	C₂²	1	32	yes	complemented
74	C₂×#21009	C₂²	1	12	yes	complemented
75	C₂²×#1910	C₂²	1	12	yes	complemented
76	#6371525	C₂²	1	64	yes	complemented
77	C₂×#20998	C₂²	1	24	yes	complemented
78	C₂²×#1904	C₂²	1	24	yes	complemented
79	C₂×#20964	C₂²	1	12	yes	complemented
80	C₂²×#1891	C₂²	1	12	yes	complemented
81	#6370755	C₂²	1	32	yes	complemented
82	C₂×#20623	C₂²	1	12	yes	complemented
83	C₂²×#1795	C₂²	1	12	yes	complemented
84	C₂×#20360	C₂²	1	2	yes	complemented
85	C₂×#20338	C₂²	1	2	yes	complemented
86	#63103	C₂³	1	16	yes	complemented
87	C₂×H(7,𝔽₂)	D₄	1	16	yes	complemented
88	C₂×H(7,𝔽₂)	C₂³	1	16	yes	—
89	C₂²×#585	D₄	1	8	yes	complemented
90	C₂²×#585	C₂³	1	1	yes	characteristic
91	C₂²×#585	C₂³	1	6	yes	—
92	C₂²×#585	C₂³	1	1	yes	characteristic
93	C₂²×#585	C₂³	1	2	yes	—
94	C₂²×#585	C₂³	1	12	yes	complemented
95	C₂³×H(5,𝔽₂)	D₄	1	8	yes	complemented
96	C₂³×H(5,𝔽₂)	C₂³	1	6	yes	—
97	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
98	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
99	C₂³×H(5,𝔽₂)	C₂³	1	3	yes	complemented
100	C₂³×H(5,𝔽₂)	C₂³	1	3	yes	complemented
101	C₂³×H(5,𝔽₂)	C₂³	1	16	yes	complemented
102	C₂⁴×#41	C₂³	1	1	yes	characteristic
103	C₂⁴×#41	C₂³	1	3	yes	complemented
104	C₂⁵×D₄	C₂³	1	3	yes	complemented
105	#63090	C₂³	1	192	yes	complemented
106	#63090	C₂³	1	32	yes	complemented
107	C₂×#3586	C₂³	1	16	yes	complemented
108	C₂×#3585	D₄	1	32	yes	complemented
109	C₂×#3585	C₂³	1	32	yes	—
110	C₂×#3585	C₂³	1	48	yes	complemented
111	C₂×#3585	C₂³	1	192	yes	complemented
112	C₂×#3585	C₂³	1	32	yes	complemented
113	C₂²×#577	D₄	1	16	yes	complemented
114	C₂²×#576	D₄	1	16	yes	complemented
115	C₂²×#575	C₂³	1	12	yes	—
116	C₂²×#575	C₂³	1	12	yes	complemented
117	C₂²×#575	C₂³	1	24	yes	complemented
118	C₂³×AGL(1,ℤ/8)	C₂³	1	12	yes	—
119	C₂³×AGL(1,ℤ/8)	C₂³	1	12	yes	complemented
120	#63076	C₂³	1	16	yes	complemented
121	C₂²×#568	C₂³	1	2	yes	—
122	C₂²×#568	C₂³	1	2	yes	—
123	C₂²×#568	C₂³	1	12	yes	complemented
124	#62852	D₄	1	16	yes	complemented
125	#62852	C₂³	1	16	yes	—
126	#62852	C₂³	1	16	yes	complemented
127	#62852	C₂³	1	96	yes	complemented
128	#62842	C₂³	1	96	yes	complemented
129	#62811	D₄	1	16	yes	—
130	#62811	C₂³	1	16	yes	—
131	#62811	C₂³	1	32	yes	complemented
132	#62811	C₂³	1	16	yes	complemented
133	#62811	C₂³	1	96	yes	complemented
134	C₂×#3500	D₄	1	8	yes	complemented
135	C₂×#3498	D₄	1	8	yes	complemented
136	C₂×#3487	D₄	1	2	yes	—
137	C₂×#3487	C₂³	1	12	yes	complemented
138	C₂×#3486	D₄	1	2	yes	—
139	C₂×#3486	C₂³	1	4	yes	complemented
140	C₂×#3485	D₄	1	6	yes	—
141	C₂×#3485	C₂³	1	12	yes	complemented
142	C₂×#3484	D₄	1	6	yes	—
143	C₂×#3484	C₂³	1	12	yes	complemented
144	C₂×#3484	C₂³	1	24	yes	complemented
145	C₂×#3484	C₂³	1	96	yes	complemented
146	C₂×#3449	C₂³	1	6	yes	—
147	C₂×#3449	C₂³	1	6	yes	—
148	C₂×#3449	C₂³	1	12	yes	complemented
149	C₂×#3449	C₂³	1	6	yes	complemented
150	C₂×#3449	C₂³	1	6	yes	complemented
151	C₂²×#535	C₂³	1	6	yes	—
152	C₂²×#535	C₂³	1	6	yes	complemented
153	C₂²×#525	C₂³	1	6	yes	—
154	C₂²×#525	C₂³	1	12	yes	complemented
155	C₂²×#525	C₂³	1	6	yes	complemented
156	#62652	C₂³	1	16	yes	complemented
157	C₂×#3428	C₂³	1	1	yes	characteristic
158	C₂×#3428	C₂³	1	1	yes	characteristic
159	C₂×#3428	C₂³	1	2	yes	—
160	C₂×#3428	C₂³	1	6	yes	complemented
161	C₂²×#518	C₂³	1	6	yes	complemented
162	#60398	C₂³	1	192	yes	complemented
163	C₂×#3025	C₂³	1	16	yes	complemented
164	C₂×#3025	C₂³	1	48	yes	complemented
165	C₂×#3025	C₂³	1	192	yes	complemented
166	#60387	C₂³	1	192	yes	complemented
167	C₂×#3022	C₂³	1	16	yes	complemented
168	C₂×#3021	C₂³	1	48	yes	complemented
169	C₂×#3021	C₂³	1	192	yes	complemented
170	#60367	C₂³	1	192	yes	complemented
171	#60367	C₂³	1	192	yes	complemented
172	#60359	C₂³	1	192	yes	complemented
173	C₂×#3005	C₂³	1	24	yes	complemented
174	C₂×#3005	C₂³	1	24	yes	complemented
175	C₂×#3004	C₂³	1	8	yes	complemented
176	C₂×#3003	C₂³	1	24	yes	complemented
177	C₂×#3003	C₂³	1	48	yes	complemented
178	C₂×#3003	C₂³	1	192	yes	complemented
179	#60093	C₂³	1	32	yes	complemented
180	#60093	C₂³	1	32	yes	complemented
181	C₂²×#421	C₂³	1	24	yes	complemented
182	C₂²×#421	C₂³	1	24	yes	complemented
183	#60087	C₂³	1	32	yes	complemented
184	#60087	C₂³	1	32	yes	complemented
185	C₂×#2896	C₂³	1	12	yes	complemented
186	C₂×#2896	C₂³	1	12	yes	complemented
187	C₂²×#418	C₂³	1	12	yes	complemented
188	C₂²×#418	C₂³	1	12	yes	complemented
189	#60076	C₂³	1	16	yes	complemented
190	C₂²×#413	C₂³	1	12	yes	complemented
191	#60070	C₂³	1	16	yes	complemented
192	#60070	C₂³	1	32	yes	complemented
193	C₂²×#410	C₂³	1	12	yes	complemented
194	C₂²×#410	C₂³	1	24	yes	complemented
195	#60064	C₂³	1	32	yes	complemented
196	C₂×#2879	C₂³	1	12	yes	complemented
197	C₂²×#407	C₂³	1	12	yes	complemented
198	#23885	C₂³	1	256	yes	complemented
199	#23884	C₂³	1	768	yes	complemented
200	#23883	C₂³	1	768	yes	complemented
201	#23882	C₂³	1	768	yes	complemented
202	#23882	C₂³	1	1536	yes	complemented
203	#23414	C₂³	1	384	yes	complemented
204	C₂×#2010	C₂³	1	32	yes	complemented
205	C₂×#2010	C₂³	1	96	yes	complemented
206	C₂×#2010	C₂³	1	384	yes	complemented
207	#23412	C₂³	1	384	yes	complemented
208	C₂×#2009	C₂³	1	32	yes	complemented
209	C₂×#2008	C₂³	1	96	yes	complemented
210	C₂×#2008	C₂³	1	384	yes	complemented
211	#21009	C₂³	1	192	yes	complemented
212	C₂×#1910	C₂³	1	48	yes	complemented
213	C₂×#1910	C₂³	1	192	yes	complemented
214	C₂×#1909	C₂³	1	16	yes	complemented
215	#20998	C₂³	1	384	yes	complemented
216	C₂×#1905	C₂³	1	32	yes	complemented
217	C₂×#1904	C₂³	1	96	yes	complemented
218	C₂×#1904	C₂³	1	384	yes	complemented
219	#20964	C₂³	1	192	yes	complemented
220	C₂×#1891	C₂³	1	16	yes	complemented
221	C₂×#1891	C₂³	1	48	yes	complemented
222	C₂×#1891	C₂³	1	192	yes	complemented
223	#20623	C₂³	1	192	yes	complemented
224	C₂×#1796	C₂³	1	16	yes	complemented
225	C₂×#1795	C₂³	1	48	yes	complemented
226	C₂×#1795	C₂³	1	192	yes	complemented
227	#20360	C₂³	1	32	yes	complemented
228	C₂²×#344	C₂³	1	24	yes	complemented
229	#20338	C₂³	1	32	yes	complemented
230	C₂²×H(3,ℤ/4)	C₂³	1	24	yes	complemented
231	C₂×#585	C₂×D₄	1	8	yes	—
232	C₂×#585	C₂×D₄	1	8	yes	—
233	C₂×#585	C₂×D₄	1	8	yes	—
234	C₂×#585	C₂×D₄	1	8	yes	—
235	C₂×#585	C₂×D₄	1	48	yes	complemented
236	C₂×#585	C₂×D₄	1	128	yes	complemented
237	C₂×#585	C₂×D₄	1	16	yes	complemented
238	C₂×#585	C₂⁴	1	8	yes	—
239	C₂×#585	C₂⁴	1	48	yes	—
240	C₂×#585	C₂⁴	1	8	yes	—
241	C₂×#585	C₂⁴	1	16	yes	—
242	C₂×#585	C₂⁴	1	16	yes	—
243	C₂×#585	C₂⁴	1	96	yes	complemented
244	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
245	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	—
246	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	—
247	C₂²×2₋¹⁺⁴	C₂×D₄	1	12	yes	complemented
248	C₂²×2₋¹⁺⁴	C₂×D₄	1	8	yes	complemented
249	C₂²×2₋¹⁺⁴	C₂⁴	1	4	yes	—
250	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
251	C₂²×H(5,𝔽₂)	C₂×D₄	1	6	yes	—
252	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	—
253	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	—
254	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
255	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
256	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
257	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
258	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
259	C₂²×H(5,𝔽₂)	C₂×D₄	1	12	yes	complemented
260	C₂²×H(5,𝔽₂)	C₂×D₄	1	24	yes	complemented
261	C₂²×H(5,𝔽₂)	C₂×D₄	1	48	yes	complemented
262	C₂²×H(5,𝔽₂)	C₂×D₄	1	128	yes	complemented
263	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	complemented
264	C₂²×H(5,𝔽₂)	C₂⁴	1	12	yes	—
265	C₂²×H(5,𝔽₂)	C₂⁴	1	48	yes	—
266	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
267	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
268	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	complemented
269	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	complemented
270	C₂³×#41	C₂×D₄	1	8	yes	—
271	C₂³×#41	C₂×D₄	1	3	yes	—
272	C₂³×#41	C₂×D₄	1	1	yes	characteristic
273	C₂³×#41	C₂×D₄	1	8	yes	—
274	C₂³×#41	C₂×D₄	1	24	yes	complemented
275	C₂³×#41	C₂×D₄	1	12	yes	complemented
276	C₂³×#41	C₂⁴	1	6	yes	—
277	C₂³×#41	C₂⁴	1	8	yes	—
278	C₂³×#41	C₂⁴	1	3	yes	—
279	C₂³×#41	C₂⁴	1	6	yes	—
280	C₂³×#41	C₂⁴	1	12	yes	—
281	C₂³×#41	C₂⁴	1	3	yes	—
282	C₂³×#41	C₂⁴	1	3	yes	—
283	C₂³×#41	C₂⁴	1	3	yes	—
284	C₂³×#41	C₂⁴	1	3	yes	—
285	C₂³×#41	C₂⁴	1	1	yes	characteristic
286	C₂³×#41	C₂⁴	1	24	yes	complemented
287	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
288	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic
289	C₂⁴×D₄	C₂×D₄	1	3	yes	—
290	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
291	C₂⁴×D₄	C₂⁴	1	3	yes	—
292	C₂⁴×D₄	C₂⁴	1	3	yes	—
293	C₂⁴×D₄	C₂⁴	1	3	yes	—
294	C₂⁴×D₄	C₂⁴	1	6	yes	—
295	C₂⁴×D₄	C₂⁴	1	24	yes	complemented
296	C₂⁵×C₄	C₂⁴	1	3	yes	—
297	#3586	C₂⁴	1	128	yes	complemented
298	#3585	C₂⁴	1	384	yes	complemented
299	C₂×#577	C₂×D₄	1	256	yes	complemented
300	C₂×#576	C₂×D₄	1	256	yes	complemented
301	C₂×#575	C₂×D₄	1	96	yes	complemented
302	C₂×#575	C₂⁴	1	96	yes	—
303	C₂×#575	C₂⁴	1	32	yes	—
304	C₂×#575	C₂⁴	1	96	yes	complemented
305	C₂×#575	C₂⁴	1	192	yes	complemented
306	C₂²×#137	C₂×D₄	1	24	yes	complemented
307	C₂²×#137	C₂⁴	1	8	yes	—
308	C₂²×#137	C₂⁴	1	8	yes	—
309	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	complemented
310	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	96	yes	complemented
311	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	24	yes	complemented
312	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
313	C₂²×AGL(1,ℤ/8)	C₂⁴	1	96	yes	—
314	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
315	C₂²×AGL(1,ℤ/8)	C₂⁴	1	96	yes	complemented
316	C₂²×#135	C₂×D₄	1	48	yes	complemented
317	C₂³×SD₁₆	C₂×D₄	1	24	yes	complemented
318	C₂³×D₈	C₂×D₄	1	24	yes	complemented
319	C₂×#568	C₂×D₄	1	16	yes	complemented
320	C₂×#568	C₂⁴	1	16	yes	—
321	C₂×#568	C₂⁴	1	16	yes	—
322	C₂×#568	C₂⁴	1	16	yes	—
323	C₂×#568	C₂⁴	1	96	yes	complemented
324	C₂²×#131	C₂×D₄	1	16	yes	complemented
325	C₂³×M₁₆	C₂⁴	1	12	yes	—
326	C₂³×M₁₆	C₂⁴	1	12	yes	—
327	#3500	C₂×D₄	1	128	yes	complemented
328	#3498	C₂×D₄	1	128	yes	complemented
329	#3487	C₂×D₄	1	32	yes	—
330	#3487	C₂⁴	1	96	yes	complemented
331	#3486	C₂×D₄	1	32	yes	—
332	#3486	C₂⁴	1	32	yes	complemented
333	#3485	C₂×D₄	1	96	yes	—
334	#3485	C₂⁴	1	96	yes	complemented
335	#3484	C₂×D₄	1	96	yes	—
336	#3484	C₂⁴	1	96	yes	complemented
337	#3484	C₂⁴	1	192	yes	complemented
338	#3449	C₂×D₄	1	48	yes	—
339	#3449	C₂×D₄	1	48	yes	complemented
340	#3449	C₂⁴	1	48	yes	—
341	#3449	C₂⁴	1	48	yes	—
342	#3449	C₂⁴	1	48	yes	complemented
343	#3449	C₂⁴	1	96	yes	complemented
344	#3449	C₂⁴	1	48	yes	complemented
345	C₂×#536	C₂×D₄	1	12	yes	—
346	C₂×#536	C₂×D₄	1	12	yes	complemented
347	C₂×#536	C₂⁴	1	4	yes	—
348	C₂×#536	C₂⁴	1	4	yes	—
349	C₂×#535	C₂×D₄	1	12	yes	—
350	C₂×#535	C₂×D₄	1	12	yes	complemented
351	C₂×#535	C₂×D₄	1	24	yes	complemented
352	C₂×#535	C₂×D₄	1	48	yes	complemented
353	C₂×#535	C₂⁴	1	12	yes	—
354	C₂×#535	C₂⁴	1	48	yes	—
355	C₂×#535	C₂⁴	1	12	yes	—
356	C₂×#535	C₂⁴	1	48	yes	complemented
357	C₂×#534	C₂×D₄	1	24	yes	—
358	C₂×#532	C₂×D₄	1	24	yes	complemented
359	C₂²×#127	C₂×D₄	1	12	yes	complemented
360	C₂²×#124	C₂×D₄	1	12	yes	complemented
361	C₂×#525	C₂×D₄	1	12	yes	—
362	C₂×#525	C₂×D₄	1	12	yes	—
363	C₂×#525	C₂×D₄	1	48	yes	—
364	C₂×#525	C₂⁴	1	4	yes	—
365	C₂×#525	C₂⁴	1	12	yes	—
366	C₂×#525	C₂⁴	1	48	yes	—
367	C₂×#525	C₂⁴	1	4	yes	—
368	C₂×#525	C₂⁴	1	12	yes	—
369	C₂×#525	C₂⁴	1	8	yes	—
370	C₂×#525	C₂⁴	1	24	yes	—
371	C₂×#525	C₂⁴	1	48	yes	complemented
372	C₂×#525	C₂⁴	1	96	yes	complemented
373	C₂²×#123	C₂×D₄	1	12	yes	—
374	C₂²×#120	C₂×D₄	1	12	yes	—
375	#3428	C₂×D₄	1	8	yes	—
376	#3428	C₂×D₄	1	8	yes	—
377	#3428	C₂⁴	1	8	yes	—
378	#3428	C₂⁴	1	8	yes	—
379	#3428	C₂⁴	1	16	yes	—
380	#3428	C₂⁴	1	48	yes	complemented
381	C₂×#519	C₂×D₄	1	2	yes	—
382	C₂×#519	C₂⁴	1	4	yes	—
383	C₂×#518	C₂×D₄	1	6	yes	—
384	C₂×#518	C₂⁴	1	12	yes	—
385	C₂×#518	C₂⁴	1	48	yes	complemented
386	C₂×C₄×#41	C₂×D₄	1	8	yes	—
387	C₂²×#117	C₂⁴	1	6	yes	—
388	C₂²×#117	C₂⁴	1	6	yes	—
389	C₂²×#117	C₂⁴	1	12	yes	—
390	#3025	C₂⁴	1	128	yes	complemented
391	#3025	C₂⁴	1	384	yes	complemented
392	#3022	C₂⁴	1	128	yes	complemented
393	#3021	C₂⁴	1	384	yes	complemented
394	#3005	C₂⁴	1	192	yes	complemented
395	#3005	C₂⁴	1	192	yes	complemented
396	#3004	C₂⁴	1	64	yes	complemented
397	#3003	C₂⁴	1	192	yes	complemented
398	#3003	C₂⁴	1	384	yes	complemented
399	C₂×#421	C₂⁴	1	32	yes	—
400	C₂×#421	C₂⁴	1	32	yes	—
401	C₂×#421	C₂⁴	1	192	yes	complemented
402	C₂×#421	C₂⁴	1	192	yes	complemented
403	#2896	C₂⁴	1	96	yes	complemented
404	#2896	C₂⁴	1	96	yes	complemented
405	C₂×#419	C₂⁴	1	8	yes	—
406	C₂×#419	C₂⁴	1	8	yes	—
407	C₂×#418	C₂⁴	1	24	yes	—
408	C₂×#418	C₂⁴	1	24	yes	—
409	C₂×#418	C₂⁴	1	96	yes	complemented
410	C₂×#418	C₂⁴	1	96	yes	complemented
411	C₂×#413	C₂⁴	1	16	yes	—
412	C₂×#413	C₂⁴	1	96	yes	complemented
413	C₂×#410	C₂⁴	1	32	yes	—
414	C₂×#410	C₂⁴	1	16	yes	—
415	C₂×#410	C₂⁴	1	192	yes	complemented
416	C₂×#410	C₂⁴	1	96	yes	complemented
417	#2879	C₂⁴	1	96	yes	complemented
418	C₂×#407	C₂⁴	1	8	yes	—
419	C₂×#407	C₂⁴	1	24	yes	—
420	C₂×#407	C₂⁴	1	96	yes	complemented
421	#2010	C₂⁴	1	256	yes	complemented
422	#2010	C₂⁴	1	768	yes	complemented
423	#2009	C₂⁴	1	256	yes	complemented
424	#2008	C₂⁴	1	768	yes	complemented
425	#1910	C₂⁴	1	384	yes	complemented
426	#1909	C₂⁴	1	128	yes	complemented
427	#1905	C₂⁴	1	256	yes	complemented
428	#1904	C₂⁴	1	768	yes	complemented
429	#1891	C₂⁴	1	128	yes	complemented
430	#1891	C₂⁴	1	384	yes	complemented
431	#1796	C₂⁴	1	128	yes	complemented
432	#1795	C₂⁴	1	384	yes	complemented
433	C₂×#344	C₂⁴	1	32	yes	—
434	C₂×#344	C₂⁴	1	192	yes	complemented
435	C₂×H(3,ℤ/4)	C₂⁴	1	32	yes	—
436	C₂×H(3,ℤ/4)	C₂⁴	1	192	yes	complemented
437	C₂⁶	C₂²×D₄	1	3	yes	—
438	#585	C₂⁵	1	64	yes	—
439	C₂×2₋¹⁺⁴	#120	1	16	yes	—
440	C₂×2₋¹⁺⁴	#120	1	32	yes	—
441	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	—
442	C₂×2₋¹⁺⁴	C₂²×D₄	1	32	yes	—
443	C₂×2₋¹⁺⁴	C₂²×D₄	1	32	yes	—
444	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	—
445	C₂×2₋¹⁺⁴	C₂²×D₄	1	96	yes	complemented
446	C₂×2₋¹⁺⁴	C₂²×D₄	1	64	yes	complemented
447	C₂×2₋¹⁺⁴	C₂⁵	1	16	yes	—
448	C₂×H(5,𝔽₂)	#120	1	48	yes	—
449	C₂×H(5,𝔽₂)	#120	1	32	yes	—
450	C₂×H(5,𝔽₂)	#120	1	64	yes	—
451	C₂×H(5,𝔽₂)	#120	1	128	yes	—
452	C₂×H(5,𝔽₂)	#120	1	64	yes	—
453	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	—
454	C₂×H(5,𝔽₂)	C₂²×D₄	1	48	yes	—
455	C₂×H(5,𝔽₂)	C₂²×D₄	1	64	yes	—
456	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	—
457	C₂×H(5,𝔽₂)	C₂²×D₄	1	48	yes	—
458	C₂×H(5,𝔽₂)	C₂²×D₄	1	64	yes	—
459	C₂×H(5,𝔽₂)	C₂²×D₄	1	128	yes	—
460	C₂×H(5,𝔽₂)	C₂²×D₄	1	96	yes	complemented
461	C₂×H(5,𝔽₂)	C₂²×D₄	1	192	yes	complemented
462	C₂×H(5,𝔽₂)	C₂²×D₄	1	64	yes	complemented
463	C₂×H(5,𝔽₂)	C₂⁵	1	48	yes	—
464	C₂²×#41	#120	1	8	yes	—
465	C₂²×#41	#120	1	24	yes	—
466	C₂²×#41	#120	1	64	yes	—
467	C₂²×#41	C₂²×D₄	1	12	yes	—
468	C₂²×#41	C₂²×D₄	1	24	yes	—
469	C₂²×#41	C₂²×D₄	1	12	yes	—
470	C₂²×#41	C₂²×D₄	1	24	yes	—
471	C₂²×#41	C₂²×D₄	1	4	yes	—
472	C₂²×#41	C₂²×D₄	1	4	yes	—
473	C₂²×#41	C₂²×D₄	1	4	yes	—
474	C₂²×#41	C₂²×D₄	1	4	yes	—
475	C₂²×#41	C₂²×D₄	1	12	yes	—
476	C₂²×#41	C₂²×D₄	1	64	yes	—
477	C₂²×#41	C₂²×D₄	1	24	yes	—
478	C₂²×#41	C₂²×D₄	1	8	yes	—
479	C₂²×#41	C₂²×D₄	1	8	yes	—
480	C₂²×#41	C₂²×D₄	1	12	yes	—
481	C₂²×#41	C₂²×D₄	1	24	yes	—
482	C₂²×#41	C₂²×D₄	1	8	yes	—
483	C₂²×#41	C₂²×D₄	1	4	yes	—
484	C₂²×#41	C₂²×D₄	1	12	yes	—
485	C₂²×#41	C₂²×D₄	1	12	yes	—
486	C₂²×#41	C₂²×D₄	1	24	yes	—
487	C₂²×#41	C₂²×D₄	1	24	yes	—
488	C₂²×#41	C₂²×D₄	1	8	yes	—
489	C₂²×#41	C₂²×D₄	1	24	yes	—
490	C₂²×#41	C₂²×D₄	1	12	yes	—
491	C₂²×#41	C₂²×D₄	1	12	yes	—
492	C₂²×#41	C₂²×D₄	1	12	yes	—
493	C₂²×#41	C₂²×D₄	1	24	yes	—
494	C₂²×#41	C₂²×D₄	1	192	yes	complemented
495	C₂²×#41	C₂²×D₄	1	96	yes	complemented
496	C₂²×#41	C₂²×D₄	1	24	yes	complemented
497	C₂²×#41	C₂²×D₄	1	48	yes	complemented
498	C₂²×#41	H(5,𝔽₂)	1	8	yes	—
499	C₂²×#41	H(5,𝔽₂)	1	8	yes	—
500	C₂²×#41	C₂⁵	1	4	yes	—
501	C₂²×#41	C₂⁵	1	24	yes	—
502	C₂²×#41	C₂⁵	1	12	yes	—
503	C₂²×#41	C₂⁵	1	4	yes	—
504	C₂²×#41	C₂⁵	1	4	yes	—
505	C₂²×#41	C₂⁵	1	8	yes	—
506	C₂²×#41	C₂⁵	1	24	yes	—
507	C₂²×#41	C₂⁵	1	48	yes	—
508	C₂²×#41	C₂⁵	1	12	yes	—
509	C₂²×#41	C₂⁵	1	12	yes	—
510	C₂²×#41	C₂⁵	1	12	yes	—
511	C₂²×#41	C₂⁵	1	12	yes	—
512	C₂³×Q₈	#120	1	8	yes	—
513	C₂³×Q₈	C₂²×D₄	1	6	yes	—
514	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
515	C₂³×Q₈	C₂²×D₄	1	3	yes	—
516	C₂³×Q₈	C₂²×D₄	1	8	yes	—
517	C₂³×Q₈	C₂²×D₄	1	8	yes	—
518	C₂³×Q₈	C₂²×D₄	1	6	yes	—
519	C₂³×Q₈	C₂²×D₄	1	12	yes	complemented
520	C₂³×Q₈	C₂⁵	1	1	yes	characteristic
521	C₂³×Q₈	C₂⁵	1	1	yes	characteristic
522	C₂³×Q₈	C₂⁵	1	4	yes	—
523	C₂³×D₄	#120	1	24	yes	—
524	C₂³×D₄	C₂²×D₄	1	12	yes	—
525	C₂³×D₄	C₂²×D₄	1	3	yes	—
526	C₂³×D₄	C₂²×D₄	1	12	yes	—
527	C₂³×D₄	C₂²×D₄	1	12	yes	—
528	C₂³×D₄	C₂²×D₄	1	24	yes	—
529	C₂³×D₄	C₂²×D₄	1	24	yes	—
530	C₂³×D₄	C₂²×D₄	1	6	yes	—
531	C₂³×D₄	C₂²×D₄	1	24	yes	—
532	C₂³×D₄	C₂²×D₄	1	6	yes	—
533	C₂³×D₄	C₂²×D₄	1	12	yes	—
534	C₂³×D₄	C₂²×D₄	1	12	yes	—
535	C₂³×D₄	C₂²×D₄	1	6	yes	—
536	C₂³×D₄	C₂²×D₄	1	3	yes	—
537	C₂³×D₄	C₂²×D₄	1	24	yes	—
538	C₂³×D₄	C₂²×D₄	1	96	yes	complemented
539	C₂³×D₄	C₂²×D₄	1	12	yes	complemented
540	C₂³×D₄	C₂⁵	1	3	yes	—
541	C₂³×D₄	C₂⁵	1	12	yes	—
542	C₂³×D₄	C₂⁵	1	3	yes	—
543	C₂³×D₄	C₂⁵	1	12	yes	—
544	C₂³×D₄	C₂⁵	1	12	yes	—
545	C₂³×D₄	C₂⁵	1	24	yes	—
546	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
547	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
548	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
549	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
550	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
551	C₂⁴×C₄	C₂⁵	1	3	yes	—
552	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
553	C₂⁴×C₄	C₂⁵	1	3	yes	—
554	C₂⁴×C₄	C₂⁵	1	12	yes	—
555	#575	C₂⁵	1	128	yes	—
556	C₂×#137	C₂²×D₄	1	32	yes	complemented
557	C₂×#137	C₂²×D₄	1	192	yes	complemented
558	C₂×#137	C₂⁵	1	32	yes	—
559	C₂×#137	C₂⁵	1	32	yes	—
560	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	96	yes	complemented
561	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	384	yes	complemented
562	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	192	yes	complemented
563	C₂×AGL(1,ℤ/8)	C₂⁵	1	96	yes	—
564	C₂×AGL(1,ℤ/8)	C₂⁵	1	96	yes	—
565	C₂×#135	C₂²×D₄	1	384	yes	complemented
566	C₂²×Q₁₆	C₂²×D₄	1	16	yes	complemented
567	C₂²×SD₁₆	C₂²×D₄	1	48	yes	complemented
568	C₂²×SD₁₆	C₂²×D₄	1	16	yes	complemented
569	C₂²×SD₁₆	C₂²×D₄	1	192	yes	complemented
570	C₂²×D₈	C₂²×D₄	1	48	yes	complemented
571	C₂²×D₈	C₂²×D₄	1	192	yes	complemented
572	#568	C₂⁵	1	64	yes	—
573	C₂×#131	C₂²×D₄	1	128	yes	complemented
574	C₂²×M₁₆	C₂²×D₄	1	24	yes	complemented
575	C₂²×M₁₆	C₂²×D₄	1	48	yes	complemented
576	C₂²×M₁₆	C₂⁵	1	8	yes	—
577	C₂²×M₁₆	C₂⁵	1	48	yes	—
578	C₂²×M₁₆	C₂⁵	1	8	yes	—
579	C₂²×M₁₆	C₂⁵	1	48	yes	—
580	C₂³×C₈	C₂²×D₄	1	24	yes	complemented
581	#536	C₂²×D₄	1	96	yes	—
582	#536	C₂²×D₄	1	16	yes	—
583	#536	C₂²×D₄	1	96	yes	complemented
584	#536	C₂⁵	1	16	yes	—
585	#536	C₂⁵	1	16	yes	—
586	#535	C₂²×D₄	1	96	yes	—
587	#535	C₂²×D₄	1	48	yes	—
588	#535	C₂²×D₄	1	192	yes	complemented
589	#535	C₂²×D₄	1	96	yes	complemented
590	#535	C₂⁵	1	48	yes	—
591	#535	C₂⁵	1	48	yes	—
592	#534	C₂²×D₄	1	192	yes	—
593	#532	C₂²×D₄	1	192	yes	complemented
594	C₂×C₄⋊Q₈	C₂²×D₄	1	8	yes	—
595	C₂×#127	C₂²×D₄	1	24	yes	—
596	C₂×#127	C₂²×D₄	1	96	yes	complemented
597	C₂×#124	C₂²×D₄	1	24	yes	—
598	C₂×#124	C₂²×D₄	1	8	yes	—
599	C₂×#124	C₂²×D₄	1	96	yes	complemented
600	#525	C₂²×D₄	1	16	yes	—
601	#525	C₂²×D₄	1	48	yes	—
602	#525	C₂²×D₄	1	96	yes	—
603	#525	C₂²×D₄	1	96	yes	—
604	#525	C₂⁵	1	16	yes	—
605	#525	C₂⁵	1	48	yes	—
606	#525	C₂⁵	1	16	yes	—
607	#525	C₂⁵	1	32	yes	—
608	#525	C₂⁵	1	48	yes	—
609	#525	C₂⁵	1	96	yes	—
610	C₂×#123	C₂²×D₄	1	8	yes	—
611	C₂×#123	C₂²×D₄	1	24	yes	—
612	C₂×#123	C₂²×D₄	1	96	yes	—
613	C₂×#120	C₂²×D₄	1	8	yes	—
614	C₂×#120	C₂²×D₄	1	24	yes	—
615	C₂×#120	C₂²×D₄	1	96	yes	—
616	#519	C₂²×D₄	1	16	yes	—
617	#519	C₂⁵	1	16	yes	—
618	#518	C₂²×D₄	1	48	yes	—
619	#518	C₂⁵	1	48	yes	—
620	C₄×#41	C₂²×D₄	1	64	yes	—
621	C₂×#117	C₂²×D₄	1	12	yes	—
622	C₂×#117	C₂²×D₄	1	24	yes	—
623	C₂×#117	C₂²×D₄	1	12	yes	—
624	C₂×#117	C₂²×D₄	1	24	yes	—
625	C₂×#117	C₂⁵	1	4	yes	—
626	C₂×#117	C₂⁵	1	24	yes	—
627	C₂×#117	C₂⁵	1	4	yes	—
628	C₂×#117	C₂⁵	1	24	yes	—
629	C₂×#117	C₂⁵	1	8	yes	—
630	C₂×#117	C₂⁵	1	48	yes	—
631	C₂²×C₂²⋊C₄	C₂²×D₄	1	12	yes	—
632	C₂²×C₄²	C₂²×D₄	1	12	yes	—
633	#421	C₂⁵	1	128	yes	—
634	#421	C₂⁵	1	128	yes	—
635	#419	C₂⁵	1	32	yes	—
636	#419	C₂⁵	1	32	yes	—
637	#418	C₂⁵	1	96	yes	—
638	#418	C₂⁵	1	96	yes	—
639	#413	C₂⁵	1	64	yes	—
640	#410	C₂⁵	1	64	yes	—
641	#410	C₂⁵	1	128	yes	—
642	#407	C₂⁵	1	32	yes	—
643	#407	C₂⁵	1	96	yes	—
644	#344	C₂⁵	1	128	yes	—
645	H(3,ℤ/4)	C₂⁵	1	128	yes	—
646	C₂⁵	C₂×#120	1	12	yes	—
647	C₂⁵	C₂³×D₄	1	1	yes	characteristic
648	C₂⁵	C₂³×D₄	1	12	yes	—
649	C₂⁵	C₂³×D₄	1	3	yes	—
650	C₂⁵	C₂³×D₄	1	3	yes	—
651	H(5,𝔽₂)	C₂×#120	1	512	yes	—
652	C₂×#41	C₂×#120	1	16	yes	—
653	C₂×#41	C₂×#120	1	16	yes	—
654	C₂×#41	C₂×#120	1	32	yes	—
655	C₂×#41	C₂×#120	1	48	yes	—
656	C₂×#41	C₂×#120	1	64	yes	—
657	C₂×#41	C₂×#120	1	192	yes	—
658	C₂×#41	C₂×#120	1	48	yes	—
659	C₂×#41	C₂×#120	1	48	yes	—
660	C₂×#41	C₂×#120	1	16	yes	—
661	C₂×#41	C₂×#120	1	16	yes	—
662	C₂×#41	C₂×#120	1	48	yes	—
663	C₂×#41	C₂×#120	1	48	yes	—
664	C₂×#41	C₂×#120	1	96	yes	—
665	C₂×#41	#534	1	16	yes	—
666	C₂×#41	#534	1	16	yes	—
667	C₂×#41	#534	1	32	yes	—
668	C₂×#41	D₄²	1	32	yes	—
669	C₂×#41	D₄²	1	32	yes	—
670	C₂×#41	D₄²	1	32	yes	—
671	C₂×#41	D₄²	1	32	yes	—
672	C₂×#41	D₄²	1	32	yes	—
673	C₂×#41	D₄²	1	32	yes	—
674	C₂×#41	C₂³×D₄	1	8	yes	—
675	C₂×#41	C₂³×D₄	1	48	yes	—
676	C₂×#41	C₂³×D₄	1	16	yes	—
677	C₂×#41	C₂³×D₄	1	16	yes	—
678	C₂×#41	C₂³×D₄	1	32	yes	—
679	C₂×#41	C₂³×D₄	1	8	yes	—
680	C₂×#41	C₂³×D₄	1	48	yes	—
681	C₂×#41	C₂³×D₄	1	48	yes	—
682	C₂×#41	C₂³×D₄	1	8	yes	—
683	C₂×#41	C₂³×D₄	1	48	yes	—
684	C₂×#41	C₂³×D₄	1	16	yes	—
685	C₂×#41	C₂³×D₄	1	8	yes	—
686	C₂×#41	C₂³×D₄	1	48	yes	—
687	C₂×#41	C₂³×D₄	1	96	yes	—
688	C₂×#41	C₂³×D₄	1	32	yes	—
689	C₂×#41	C₂³×D₄	1	96	yes	—
690	C₂×#41	C₂³×D₄	1	48	yes	—
691	C₂×#41	C₂³×D₄	1	96	yes	complemented
692	C₂×#41	C₂×H(5,𝔽₂)	1	32	yes	—
693	C₂×#41	C₂⁶	1	8	yes	—
694	C₂×#41	C₂⁶	1	8	yes	—
695	C₂×#41	C₂⁶	1	16	yes	—
696	C₂²×Q₈	C₂×#120	1	4	yes	—
697	C₂²×Q₈	C₂×#120	1	4	yes	—
698	C₂²×Q₈	C₂×#120	1	12	yes	—
699	C₂²×Q₈	C₂×#120	1	64	yes	—
700	C₂²×Q₈	C₂×#120	1	24	yes	—
701	C₂²×Q₈	D₄²	1	8	yes	—
702	C₂²×Q₈	D₄²	1	8	yes	—
703	C₂²×Q₈	C₂³×D₄	1	12	yes	—
704	C₂²×Q₈	C₂³×D₄	1	4	yes	—
705	C₂²×Q₈	C₂³×D₄	1	4	yes	—
706	C₂²×Q₈	C₂³×D₄	1	24	yes	—
707	C₂²×Q₈	C₂³×D₄	1	2	yes	—
708	C₂²×Q₈	C₂³×D₄	1	2	yes	—
709	C₂²×Q₈	C₂³×D₄	1	8	yes	—
710	C₂²×Q₈	C₂³×D₄	1	4	yes	—
711	C₂²×Q₈	C₂³×D₄	1	24	yes	—
712	C₂²×Q₈	C₂³×D₄	1	32	yes	—
713	C₂²×Q₈	C₂³×D₄	1	4	yes	—
714	C₂²×Q₈	C₂³×D₄	1	4	yes	—
715	C₂²×Q₈	C₂³×D₄	1	2	yes	—
716	C₂²×Q₈	C₂³×D₄	1	2	yes	—
717	C₂²×Q₈	C₂³×D₄	1	48	yes	complemented
718	C₂²×Q₈	C₂⁶	1	2	yes	—
719	C₂²×Q₈	C₂⁶	1	2	yes	—
720	C₂²×D₄	C₂×#120	1	12	yes	—
721	C₂²×D₄	C₂×#120	1	12	yes	—
722	C₂²×D₄	C₂×#120	1	48	yes	—
723	C₂²×D₄	C₂×#120	1	48	yes	—
724	C₂²×D₄	C₂×#120	1	96	yes	—
725	C₂²×D₄	C₂×#120	1	12	yes	—
726	C₂²×D₄	C₂×#120	1	24	yes	—
727	C₂²×D₄	C₂×#120	1	192	yes	—
728	C₂²×D₄	C₂×#120	1	24	yes	—
729	C₂²×D₄	C₂×#120	1	48	yes	—
730	C₂²×D₄	D₄²	1	24	yes	—
731	C₂²×D₄	D₄²	1	24	yes	—
732	C₂²×D₄	C₂³×D₄	1	6	yes	—
733	C₂²×D₄	C₂³×D₄	1	48	yes	—
734	C₂²×D₄	C₂³×D₄	1	6	yes	—
735	C₂²×D₄	C₂³×D₄	1	8	yes	—
736	C₂²×D₄	C₂³×D₄	1	4	yes	—
737	C₂²×D₄	C₂³×D₄	1	24	yes	—
738	C₂²×D₄	C₂³×D₄	1	96	yes	—
739	C₂²×D₄	C₂³×D₄	1	12	yes	—
740	C₂²×D₄	C₂³×D₄	1	96	yes	—
741	C₂²×D₄	C₂³×D₄	1	12	yes	—
742	C₂²×D₄	C₂³×D₄	1	6	yes	—
743	C₂²×D₄	C₂³×D₄	1	6	yes	—
744	C₂²×D₄	C₂³×D₄	1	48	yes	—
745	C₂²×D₄	C₂³×D₄	1	4	yes	—
746	C₂²×D₄	C₂³×D₄	1	24	yes	—
747	C₂²×D₄	C₂³×D₄	1	12	yes	—
748	C₂²×D₄	C₂³×D₄	1	24	yes	—
749	C₂²×D₄	C₂³×D₄	1	12	yes	—
750	C₂²×D₄	C₂³×D₄	1	8	yes	—
751	C₂²×D₄	C₂³×D₄	1	48	yes	—
752	C₂²×D₄	C₂³×D₄	1	48	yes	complemented
753	C₂²×D₄	C₂⁶	1	6	yes	—
754	C₂²×D₄	C₂⁶	1	6	yes	—
755	C₂³×C₄	C₂×#120	1	24	yes	—
756	C₂³×C₄	C₂×#120	1	12	yes	—
757	C₂³×C₄	C₂×#120	1	48	yes	—
758	C₂³×C₄	C₂³×D₄	1	6	yes	—
759	C₂³×C₄	C₂³×D₄	1	6	yes	—
760	C₂³×C₄	C₂³×D₄	1	12	yes	—
761	C₂³×C₄	C₂³×D₄	1	12	yes	—
762	C₂³×C₄	C₂³×D₄	1	6	yes	—
763	C₂³×C₄	C₂³×D₄	1	6	yes	—
764	C₂³×C₄	C₂³×D₄	1	8	yes	—
765	C₂³×C₄	C₂³×D₄	1	48	yes	—
766	C₂³×C₄	C₂³×D₄	1	3	yes	—
767	C₂³×C₄	C₂³×D₄	1	6	yes	—
768	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
769	C₂³×C₄	C₂³×D₄	1	3	yes	—
770	C₂³×C₄	C₂³×D₄	1	12	yes	—
771	C₂³×C₄	C₂³×D₄	1	2	yes	—
772	C₂³×C₄	C₂³×D₄	1	12	yes	—
773	C₂³×C₄	C₂³×D₄	1	6	yes	—
774	C₂³×C₄	C₂³×D₄	1	12	yes	—
775	C₂³×C₄	C₂×H(5,𝔽₂)	1	12	yes	—
776	C₂³×C₄	C₂×H(5,𝔽₂)	1	12	yes	—
777	C₂³×C₄	C₂⁶	1	1	yes	characteristic
778	C₂³×C₄	C₂⁶	1	6	yes	—
779	C₂³×C₄	C₂⁶	1	2	yes	—
780	C₂³×C₄	C₂⁶	1	6	yes	—
781	C₂×Q₁₆	C₂³×D₄	1	64	yes	complemented
782	C₂×SD₁₆	C₂³×D₄	1	192	yes	complemented
783	C₂×SD₁₆	C₂³×D₄	1	64	yes	complemented
784	C₂×D₈	C₂³×D₄	1	192	yes	complemented
785	C₂×M₁₆	C₂³×D₄	1	16	yes	—
786	C₂×M₁₆	C₂³×D₄	1	96	yes	complemented
787	C₂×M₁₆	C₂⁶	1	16	yes	—
788	C₂×M₁₆	C₂⁶	1	16	yes	—
789	C₂²×C₈	C₂³×D₄	1	16	yes	—
790	C₂²×C₈	C₂³×D₄	1	96	yes	complemented
791	C₄⋊Q₈	C₂³×D₄	1	32	yes	—
792	#127	C₂³×D₄	1	96	yes	—
793	#124	C₂³×D₄	1	96	yes	—
794	#124	C₂³×D₄	1	32	yes	—
795	#123	C₂³×D₄	1	32	yes	—
796	#123	C₂³×D₄	1	96	yes	—
797	#120	C₂³×D₄	1	32	yes	—
798	#120	C₂³×D₄	1	96	yes	—
799	#117	C₂³×D₄	1	8	yes	—
800	#117	C₂³×D₄	1	48	yes	—
801	#117	C₂³×D₄	1	8	yes	—
802	#117	C₂³×D₄	1	48	yes	—
803	#117	C₂⁶	1	8	yes	—
804	#117	C₂⁶	1	8	yes	—
805	#117	C₂⁶	1	16	yes	—
806	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
807	C₂×C₂²⋊C₄	C₂³×D₄	1	48	yes	—
808	C₂×C₄²	C₂³×D₄	1	8	yes	—
809	C₂×C₄²	C₂³×D₄	1	48	yes	—
810	C₂⁴	C₂²×#120	1	6	yes	—
811	C₂⁴	C₂²×#120	1	6	yes	—
812	C₂⁴	C₂²×#120	1	8	yes	—
813	C₂⁴	C₂²×#120	1	48	yes	—
814	C₂⁴	C₂×D₄²	1	12	yes	—
815	C₂⁴	C₂×D₄²	1	12	yes	—
816	C₂⁴	C₂⁴×D₄	1	2	yes	—
817	C₂⁴	C₂⁴×D₄	1	6	yes	—
818	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
819	C₂⁴	C₂⁴×D₄	1	6	yes	—
820	#41	#2403	1	64	yes	—
821	#41	#2403	1	64	yes	—
822	#41	#2403	1	128	yes	—
823	#41	C₂²×#120	1	64	yes	—
824	#41	C₂²×#120	1	192	yes	—
825	#41	C₂×#534	1	64	yes	—
826	#41	C₂×D₄²	1	128	yes	—
827	C₂×Q₈	#2403	1	16	yes	—
828	C₂×Q₈	#2403	1	32	yes	—
829	C₂×Q₈	#2403	1	16	yes	—
830	C₂×Q₈	C₂²×#120	1	48	yes	—
831	C₂×Q₈	C₂²×#120	1	8	yes	—
832	C₂×Q₈	C₂²×#120	1	16	yes	—
833	C₂×Q₈	C₂²×#120	1	8	yes	—
834	C₂×Q₈	C₂²×#120	1	4	yes	—
835	C₂×Q₈	C₂²×#120	1	4	yes	—
836	C₂×Q₈	C₂×D₄²	1	32	yes	—
837	C₂×Q₈	C₂⁴×D₄	1	4	yes	—
838	C₂×Q₈	C₂⁴×D₄	1	16	yes	—
839	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
840	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
841	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
842	C₂×Q₈	C₂⁴×D₄	1	4	yes	—
843	C₂×D₄	#2403	1	48	yes	—
844	C₂×D₄	#2403	1	96	yes	—
845	C₂×D₄	#2403	1	48	yes	—
846	C₂×D₄	C₂²×#120	1	48	yes	—
847	C₂×D₄	C₂²×#120	1	24	yes	—
848	C₂×D₄	C₂²×#120	1	12	yes	—
849	C₂×D₄	C₂²×#120	1	12	yes	—
850	C₂×D₄	C₂²×#120	1	192	yes	—
851	C₂×D₄	C₂²×#120	1	48	yes	—
852	C₂×D₄	C₂²×#120	1	8	yes	—
853	C₂×D₄	C₂²×#120	1	96	yes	—
854	C₂×D₄	C₂²×#120	1	16	yes	—
855	C₂×D₄	C₂×D₄²	1	96	yes	—
856	C₂×D₄	C₂⁴×D₄	1	12	yes	—
857	C₂×D₄	C₂⁴×D₄	1	16	yes	—
858	C₂×D₄	C₂⁴×D₄	1	8	yes	—
859	C₂×D₄	C₂⁴×D₄	1	24	yes	—
860	C₂×D₄	C₂⁴×D₄	1	12	yes	—
861	C₂×D₄	C₂⁴×D₄	1	8	yes	—
862	C₂×D₄	C₂⁴×D₄	1	16	yes	—
863	C₂²×C₄	C₂²×#120	1	6	yes	—
864	C₂²×C₄	C₂²×#120	1	12	yes	—
865	C₂²×C₄	C₂²×#120	1	6	yes	—
866	C₂²×C₄	C₂²×#120	1	12	yes	—
867	C₂²×C₄	C₂²×#120	1	12	yes	—
868	C₂²×C₄	C₂²×#120	1	24	yes	—
869	C₂²×C₄	C₂²×#120	1	12	yes	—
870	C₂²×C₄	C₂²×#120	1	8	yes	—
871	C₂²×C₄	C₂²×#120	1	16	yes	—
872	C₂²×C₄	C₂²×#120	1	96	yes	—
873	C₂²×C₄	C₂²×#120	1	48	yes	—
874	C₂²×C₄	C₂×#534	1	12	yes	—
875	C₂²×C₄	C₂×#534	1	24	yes	—
876	C₂²×C₄	C₂×#534	1	12	yes	—
877	C₂²×C₄	C₂×D₄²	1	12	yes	—
878	C₂²×C₄	C₂×D₄²	1	12	yes	—
879	C₂²×C₄	C₂×D₄²	1	24	yes	—
880	C₂²×C₄	C₂×D₄²	1	24	yes	—
881	C₂²×C₄	C₂×D₄²	1	24	yes	—
882	C₂²×C₄	C₂×D₄²	1	24	yes	—
883	C₂²×C₄	C₂×D₄²	1	24	yes	—
884	C₂²×C₄	C₂×D₄²	1	24	yes	—
885	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
888	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
889	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
890	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
891	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
893	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
895	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
897	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
898	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
899	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
900	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
901	C₂²×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
902	C₂²×C₄	C₂⁷	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×D₄	1	32	yes	—
904	C₂²⋊C₄	C₂⁴×D₄	1	16	yes	—
905	C₄²	C₂⁴×D₄	1	16	yes	—
906	C₂³	C₂×#2403	1	12	yes	—
907	C₂³	C₂×#2403	1	24	yes	—
908	C₂³	C₂×#2403	1	12	yes	—
909	C₂³	C₂³×#120	1	16	yes	—
910	C₂³	C₂³×#120	1	1	yes	characteristic
911	C₂³	C₂³×#120	1	12	yes	—
912	C₂³	C₂³×#120	1	1	yes	characteristic
913	C₂³	C₂²×D₄²	1	2	yes	—
914	C₂³	C₂²×D₄²	1	24	yes	—
915	C₂³	C₂²×D₄²	1	2	yes	—
916	C₂³	C₂⁵×D₄	1	1	yes	characteristic
917	Q₈	C₂×#2403	1	64	yes	—
918	Q₈	C₂³×#120	1	8	yes	—
919	D₄	C₂×#2403	1	192	yes	—
920	D₄	C₂³×#120	1	24	yes	—
921	C₂×C₄	C₂×#2403	1	12	yes	—
922	C₂×C₄	C₂×#2403	1	24	yes	—
923	C₂×C₄	C₂×#2403	1	24	yes	—
924	C₂×C₄	C₂×#2403	1	24	yes	—
925	C₂×C₄	C₂×#2403	1	48	yes	—
926	C₂×C₄	C₂×#2403	1	12	yes	—
927	C₂×C₄	C₂³×#120	1	1	yes	characteristic
928	C₂×C₄	C₂³×#120	1	2	yes	—
929	C₂×C₄	C₂³×#120	1	24	yes	—
930	C₂×C₄	C₂³×#120	1	1	yes	characteristic
931	C₂×C₄	C₂³×#120	1	1	yes	characteristic
932	C₂×C₄	C₂³×#120	1	1	yes	characteristic
933	C₂×C₄	C₂³×#120	1	12	yes	—
934	C₂×C₄	C₂³×#120	1	16	yes	—
935	C₂×C₄	C₂²×#534	1	1	yes	characteristic
936	C₂×C₄	C₂²×#534	1	2	yes	—
937	C₂×C₄	C₂²×#534	1	24	yes	—
938	C₂×C₄	C₂²×#534	1	1	yes	characteristic
939	C₂×C₄	C₂²×D₄²	1	2	yes	—
940	C₂×C₄	C₂²×D₄²	1	2	yes	—
941	C₂×C₄	C₂²×D₄²	1	24	yes	—
942	C₂×C₄	C₂²×D₄²	1	2	yes	—
943	C₂×C₄	C₂²×D₄²	1	2	yes	—
944	C₂×C₄	C₂²×D₄²	1	2	yes	—
945	C₂×C₄	C₂²×D₄²	1	48	yes	—
946	C₂×C₄	C₂²×D₄²	1	2	yes	—
947	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
948	C₂×C₄	C₂⁵×D₄	1	2	yes	—
949	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
950	C₂×C₄	C₂³×H(5,𝔽₂)	1	2	yes	—
951	C₂²	C₂²×#2403	1	2	yes	—
952	C₂²	C₂²×#2403	1	1	yes	characteristic
953	C₂²	C₂²×#2403	1	24	yes	—
954	C₂²	C₂²×#2403	1	1	yes	characteristic
955	C₂²	C₂⁴×#120	1	1	yes	characteristic
956	C₂²	C₂³×D₄²	1	2	yes	—
957	C₄	C₂²×#2403	1	1	yes	characteristic
958	C₄	C₂²×#2403	1	2	yes	—
959	C₄	C₂²×#2403	1	1	yes	characteristic
960	C₄	C₂²×#2403	1	24	yes	—
961	C₄	C₂⁴×#120	1	1	yes	characteristic
962	C₄	C₂³×#534	1	1	yes	characteristic
963	C₄	C₂³×D₄²	1	2	yes	—
964	C₂	C₂³×#2403	1	1	yes	characteristic
965	C₂	#72233774	1	2	yes	direct product factor

	subgroup	G/H
center, socle	C₂²	C₂²×#2403
commutator, Frattini, cosocle	C₂²×C₄	C₂⁷
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×#41 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#10574874	C₂	semidirect
2. C₂×#6371562	C₂	semidirect
3. C₂×#6370755	C₂	semidirect
4. C₂×#6371543	C₂	semidirect
5. C₂×#6437578	C₂	semidirect
6. C₂×#6371525	C₂	semidirect
7. C₂×#6431739	C₂	semidirect
8. C₂×#10574846	C₂	semidirect
9. C₂×#10586999	C₂	semidirect
10. C₂×#6437575	C₂	semidirect
11. C₂×#6431743	C₂	semidirect
12. C₂×#6437576	C₂	semidirect
13. C₂×#10586066	C₂	semidirect
14. C₂²×#23882	C₂	semidirect
15. #72233774	C₂	direct (N × H)
16. C₂×#10574840	C₂	semidirect
17. C₂×#63103	C₂²	semidirect
19. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
20. #10586999	C₂²	semidirect
21. C₂×#63090	C₂²	semidirect
22. C₂×#63090	C₂²	semidirect
24. C₂²×#3585	C₂²	semidirect
25. C₂²×#3585	C₂²	semidirect
26. C₂×#63076	C₂²	semidirect
27. #10586066	C₂²	semidirect
29. C₂×#62852	C₂²	semidirect
30. C₂×#62852	C₂²	semidirect
31. C₂×#62842	C₂²	semidirect
33. C₂×#62811	C₂²	semidirect
34. C₂×#62811	C₂²	semidirect
35. C₂×#62811	C₂²	semidirect
36. C₂²×#3484	C₂²	semidirect
37. C₂×#62652	C₂²	semidirect
38. C₂×#60398	C₂²	semidirect
39. C₂²×#3025	C₂²	semidirect
40. #10574874	C₂²	semidirect
41. #10574846	C₂²	semidirect
42. #10574840	C₂²	semidirect
43. C₂×#60367	C₂²	semidirect
44. C₂×#60367	C₂²	semidirect
45. C₂×#60387	C₂²	semidirect
46. C₂×#60359	C₂²	semidirect
47. C₂²×#3021	C₂²	semidirect
48. C₂²×#3003	C₂²	semidirect
49. C₂×#60064	C₂²	semidirect
50. C₂×#60070	C₂²	semidirect
51. C₂×#60070	C₂²	semidirect
52. C₂×#60076	C₂²	semidirect
53. C₂×#60093	C₂²	semidirect
54. C₂×#60093	C₂²	semidirect
55. C₂×#60087	C₂²	semidirect
56. C₂×#60087	C₂²	semidirect
57. #6437578	C₂²	semidirect
58. #6437576	C₂²	semidirect
59. #6437575	C₂²	semidirect
60. C₂×#23885	C₂²	semidirect
61. C₂×#23884	C₂²	semidirect
62. C₂×#23883	C₂²	semidirect
63. C₂×#23882	C₂²	semidirect
64. C₂×#23882	C₂²	semidirect
65. C₂×#23882	C₂²	semidirect
66. #6431743	C₂²	semidirect
67. C₂×#23414	C₂²	semidirect
68. C₂²×#2010	C₂²	semidirect
69. #6431739	C₂²	semidirect
70. C₂×#23412	C₂²	semidirect
71. C₂²×#2008	C₂²	semidirect
72. #6371562	C₂²	semidirect
73. #6371543	C₂²	semidirect
74. C₂×#21009	C₂²	semidirect
75. C₂²×#1910	C₂²	semidirect
76. #6371525	C₂²	semidirect
77. C₂×#20998	C₂²	semidirect
78. C₂²×#1904	C₂²	semidirect
79. C₂×#20964	C₂²	semidirect
80. C₂²×#1891	C₂²	semidirect
81. #6370755	C₂²	semidirect
82. C₂×#20623	C₂²	semidirect
83. C₂²×#1795	C₂²	semidirect
84. C₂×#20360	C₂²	semidirect
85. C₂×#20338	C₂²	semidirect
86. #63103	C₂³	semidirect
87. C₂×H(7,𝔽₂)	D₄	semidirect
89. C₂²×#585	D₄	semidirect
94. C₂²×#585	C₂³	semidirect
95. C₂³×H(5,𝔽₂)	D₄	semidirect
99. C₂³×H(5,𝔽₂)	C₂³	semidirect
100. C₂³×H(5,𝔽₂)	C₂³	semidirect
101. C₂³×H(5,𝔽₂)	C₂³	semidirect
103. C₂⁴×#41	C₂³	semidirect
104. C₂⁵×D₄	C₂³	semidirect
105. #63090	C₂³	semidirect
106. #63090	C₂³	semidirect
107. C₂×#3586	C₂³	semidirect
108. C₂×#3585	D₄	semidirect
110. C₂×#3585	C₂³	semidirect
111. C₂×#3585	C₂³	semidirect
112. C₂×#3585	C₂³	semidirect
113. C₂²×#577	D₄	semidirect
114. C₂²×#576	D₄	semidirect
116. C₂²×#575	C₂³	semidirect
117. C₂²×#575	C₂³	semidirect
119. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
120. #63076	C₂³	semidirect
123. C₂²×#568	C₂³	semidirect
124. #62852	D₄	semidirect
126. #62852	C₂³	semidirect
127. #62852	C₂³	semidirect
128. #62842	C₂³	semidirect
131. #62811	C₂³	semidirect
132. #62811	C₂³	semidirect
133. #62811	C₂³	semidirect
134. C₂×#3500	D₄	semidirect
135. C₂×#3498	D₄	semidirect
137. C₂×#3487	C₂³	semidirect
139. C₂×#3486	C₂³	semidirect
141. C₂×#3485	C₂³	semidirect
143. C₂×#3484	C₂³	semidirect
144. C₂×#3484	C₂³	semidirect
145. C₂×#3484	C₂³	semidirect
148. C₂×#3449	C₂³	semidirect
149. C₂×#3449	C₂³	semidirect
150. C₂×#3449	C₂³	semidirect
152. C₂²×#535	C₂³	semidirect
154. C₂²×#525	C₂³	semidirect
155. C₂²×#525	C₂³	semidirect
156. #62652	C₂³	semidirect
160. C₂×#3428	C₂³	semidirect
161. C₂²×#518	C₂³	semidirect
162. #60398	C₂³	semidirect
163. C₂×#3025	C₂³	semidirect
164. C₂×#3025	C₂³	semidirect
165. C₂×#3025	C₂³	semidirect
166. #60387	C₂³	semidirect
167. C₂×#3022	C₂³	semidirect
168. C₂×#3021	C₂³	semidirect
169. C₂×#3021	C₂³	semidirect
170. #60367	C₂³	semidirect
171. #60367	C₂³	semidirect
172. #60359	C₂³	semidirect
173. C₂×#3005	C₂³	semidirect
174. C₂×#3005	C₂³	semidirect
175. C₂×#3004	C₂³	semidirect
176. C₂×#3003	C₂³	semidirect
177. C₂×#3003	C₂³	semidirect
178. C₂×#3003	C₂³	semidirect
179. #60093	C₂³	semidirect
180. #60093	C₂³	semidirect
181. C₂²×#421	C₂³	semidirect
182. C₂²×#421	C₂³	semidirect
183. #60087	C₂³	semidirect
184. #60087	C₂³	semidirect
185. C₂×#2896	C₂³	semidirect
186. C₂×#2896	C₂³	semidirect
187. C₂²×#418	C₂³	semidirect
188. C₂²×#418	C₂³	semidirect
189. #60076	C₂³	semidirect
190. C₂²×#413	C₂³	semidirect
191. #60070	C₂³	semidirect
192. #60070	C₂³	semidirect
193. C₂²×#410	C₂³	semidirect
194. C₂²×#410	C₂³	semidirect
195. #60064	C₂³	semidirect
196. C₂×#2879	C₂³	semidirect
197. C₂²×#407	C₂³	semidirect
198. #23885	C₂³	semidirect
199. #23884	C₂³	semidirect
200. #23883	C₂³	semidirect
201. #23882	C₂³	semidirect
202. #23882	C₂³	semidirect
203. #23414	C₂³	semidirect
204. C₂×#2010	C₂³	semidirect
205. C₂×#2010	C₂³	semidirect
206. C₂×#2010	C₂³	semidirect
207. #23412	C₂³	semidirect
208. C₂×#2009	C₂³	semidirect
209. C₂×#2008	C₂³	semidirect
210. C₂×#2008	C₂³	semidirect
211. #21009	C₂³	semidirect
212. C₂×#1910	C₂³	semidirect
213. C₂×#1910	C₂³	semidirect
214. C₂×#1909	C₂³	semidirect
215. #20998	C₂³	semidirect
216. C₂×#1905	C₂³	semidirect
217. C₂×#1904	C₂³	semidirect
218. C₂×#1904	C₂³	semidirect
219. #20964	C₂³	semidirect
220. C₂×#1891	C₂³	semidirect
221. C₂×#1891	C₂³	semidirect
222. C₂×#1891	C₂³	semidirect
223. #20623	C₂³	semidirect
224. C₂×#1796	C₂³	semidirect
225. C₂×#1795	C₂³	semidirect
226. C₂×#1795	C₂³	semidirect
227. #20360	C₂³	semidirect
228. C₂²×#344	C₂³	semidirect
229. #20338	C₂³	semidirect
230. C₂²×H(3,ℤ/4)	C₂³	semidirect
235. C₂×#585	C₂×D₄	semidirect
236. C₂×#585	C₂×D₄	semidirect
237. C₂×#585	C₂×D₄	semidirect
243. C₂×#585	C₂⁴	semidirect
247. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
248. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
259. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
260. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
261. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
262. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
263. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
268. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
269. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
274. C₂³×#41	C₂×D₄	semidirect
275. C₂³×#41	C₂×D₄	semidirect
286. C₂³×#41	C₂⁴	semidirect
290. C₂⁴×D₄	C₂×D₄	semidirect
295. C₂⁴×D₄	C₂⁴	semidirect
297. #3586	C₂⁴	semidirect
298. #3585	C₂⁴	semidirect
299. C₂×#577	C₂×D₄	semidirect
300. C₂×#576	C₂×D₄	semidirect
301. C₂×#575	C₂×D₄	semidirect
304. C₂×#575	C₂⁴	semidirect
305. C₂×#575	C₂⁴	semidirect
306. C₂²×#137	C₂×D₄	semidirect
309. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
310. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
311. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
315. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
316. C₂²×#135	C₂×D₄	semidirect
317. C₂³×SD₁₆	C₂×D₄	semidirect
318. C₂³×D₈	C₂×D₄	semidirect
319. C₂×#568	C₂×D₄	semidirect
323. C₂×#568	C₂⁴	semidirect
324. C₂²×#131	C₂×D₄	semidirect
327. #3500	C₂×D₄	semidirect
328. #3498	C₂×D₄	semidirect
330. #3487	C₂⁴	semidirect
332. #3486	C₂⁴	semidirect
334. #3485	C₂⁴	semidirect
336. #3484	C₂⁴	semidirect
337. #3484	C₂⁴	semidirect
339. #3449	C₂×D₄	semidirect
342. #3449	C₂⁴	semidirect
343. #3449	C₂⁴	semidirect
344. #3449	C₂⁴	semidirect
346. C₂×#536	C₂×D₄	semidirect
350. C₂×#535	C₂×D₄	semidirect
351. C₂×#535	C₂×D₄	semidirect
352. C₂×#535	C₂×D₄	semidirect
356. C₂×#535	C₂⁴	semidirect
358. C₂×#532	C₂×D₄	semidirect
359. C₂²×#127	C₂×D₄	semidirect
360. C₂²×#124	C₂×D₄	semidirect
371. C₂×#525	C₂⁴	semidirect
372. C₂×#525	C₂⁴	semidirect
380. #3428	C₂⁴	semidirect
385. C₂×#518	C₂⁴	semidirect
390. #3025	C₂⁴	semidirect
391. #3025	C₂⁴	semidirect
392. #3022	C₂⁴	semidirect
393. #3021	C₂⁴	semidirect
394. #3005	C₂⁴	semidirect
395. #3005	C₂⁴	semidirect
396. #3004	C₂⁴	semidirect
397. #3003	C₂⁴	semidirect
398. #3003	C₂⁴	semidirect
401. C₂×#421	C₂⁴	semidirect
402. C₂×#421	C₂⁴	semidirect
403. #2896	C₂⁴	semidirect
404. #2896	C₂⁴	semidirect
409. C₂×#418	C₂⁴	semidirect
410. C₂×#418	C₂⁴	semidirect
412. C₂×#413	C₂⁴	semidirect
415. C₂×#410	C₂⁴	semidirect
416. C₂×#410	C₂⁴	semidirect
417. #2879	C₂⁴	semidirect
420. C₂×#407	C₂⁴	semidirect
421. #2010	C₂⁴	semidirect
422. #2010	C₂⁴	semidirect
423. #2009	C₂⁴	semidirect
424. #2008	C₂⁴	semidirect
425. #1910	C₂⁴	semidirect
426. #1909	C₂⁴	semidirect
427. #1905	C₂⁴	semidirect
428. #1904	C₂⁴	semidirect
429. #1891	C₂⁴	semidirect
430. #1891	C₂⁴	semidirect
431. #1796	C₂⁴	semidirect
432. #1795	C₂⁴	semidirect
434. C₂×#344	C₂⁴	semidirect
436. C₂×H(3,ℤ/4)	C₂⁴	semidirect
445. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
446. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
460. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
461. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
462. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
494. C₂²×#41	C₂²×D₄	semidirect
495. C₂²×#41	C₂²×D₄	semidirect
496. C₂²×#41	C₂²×D₄	semidirect
497. C₂²×#41	C₂²×D₄	semidirect
519. C₂³×Q₈	C₂²×D₄	semidirect
538. C₂³×D₄	C₂²×D₄	semidirect
539. C₂³×D₄	C₂²×D₄	semidirect
556. C₂×#137	C₂²×D₄	semidirect
557. C₂×#137	C₂²×D₄	semidirect
560. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
561. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
562. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
565. C₂×#135	C₂²×D₄	semidirect
566. C₂²×Q₁₆	C₂²×D₄	semidirect
567. C₂²×SD₁₆	C₂²×D₄	semidirect
568. C₂²×SD₁₆	C₂²×D₄	semidirect
569. C₂²×SD₁₆	C₂²×D₄	semidirect
570. C₂²×D₈	C₂²×D₄	semidirect
571. C₂²×D₈	C₂²×D₄	semidirect
573. C₂×#131	C₂²×D₄	semidirect
574. C₂²×M₁₆	C₂²×D₄	semidirect
575. C₂²×M₁₆	C₂²×D₄	semidirect
580. C₂³×C₈	C₂²×D₄	semidirect
583. #536	C₂²×D₄	semidirect
588. #535	C₂²×D₄	semidirect
589. #535	C₂²×D₄	semidirect
593. #532	C₂²×D₄	semidirect
596. C₂×#127	C₂²×D₄	semidirect
599. C₂×#124	C₂²×D₄	semidirect
691. C₂×#41	C₂³×D₄	semidirect
717. C₂²×Q₈	C₂³×D₄	semidirect
752. C₂²×D₄	C₂³×D₄	semidirect
781. C₂×Q₁₆	C₂³×D₄	semidirect
782. C₂×SD₁₆	C₂³×D₄	semidirect
783. C₂×SD₁₆	C₂³×D₄	semidirect
784. C₂×D₈	C₂³×D₄	semidirect
786. C₂×M₁₆	C₂³×D₄	semidirect
790. C₂²×C₈	C₂³×D₄	semidirect
965. C₂	#72233774	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#10574874	2
C₂×#6371562	2
C₂×#6370755	2
C₂×#6371543	2
C₂×#6437578	2
C₂×#6371525	2
C₂×#6431739	2
C₂×#10574846	2
C₂×#10586999	2
C₂×#6437575	2
C₂×#6431743	2
C₂×#6437576	2
C₂×#10586066	2
C₂²×#23882	2
#72233774	2
C₂×#10574840	2

Subgroups — C2×#72233774 #72251911

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72233774 #72251911