Subgroups — C₂²×#6437593 #72315041

Order 2048.

At least 9961 conjugacy classes of subgroups; only the 47296 normal subgroups are shown.

The subgroup lattice has 1336 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#23892	C₂	1	8	yes	maximal, complemented
2	C₂²×#23894	C₂	1	8	yes	maximal, complemented
3	C₂²×#23434	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#20939	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#20939	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#20995	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#23439	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×#1903	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#60369	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#23412	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#60387	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#20620	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#63090	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#60367	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×#3019	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#2008	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×#3585	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#6437593	C₂	1	96	yes	maximal, direct product factor
19	C₂³×#585	C₂²	1	1	yes	characteristic
20	C₂³×#585	C₂²	1	1	yes	characteristic, complemented
21	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	C₂×#63090	C₂²	1	48	yes	complemented
23	C₂²×#3586	C₂²	1	4	yes	complemented
24	C₂²×#3585	C₂²	1	8	yes	complemented
25	C₂²×#3585	C₂²	1	4	yes	complemented
26	C₂²×#3585	C₂²	1	48	yes	complemented
27	C₂³×#575	C₂²	1	1	yes	characteristic
28	C₂³×#575	C₂²	1	1	yes	characteristic
29	C₂³×#575	C₂²	1	1	yes	characteristic
30	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
31	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
32	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
33	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
34	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂³×#568	C₂²	1	1	yes	characteristic, complemented
38	C₂³×#568	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#3449	C₂²	1	1	yes	characteristic, complemented
40	C₂³×#535	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#3009	C₂²	1	4	yes	complemented
42	C₂×#60369	C₂²	1	48	yes	complemented
43	C₂×#60367	C₂²	1	48	yes	complemented
44	C₂×#60387	C₂²	1	48	yes	complemented
45	C₂²×#3010	C₂²	1	4	yes	complemented
46	C₂²×#3008	C₂²	1	4	yes	complemented
47	C₂²×#3008	C₂²	1	4	yes	complemented
48	C₂²×#3020	C₂²	1	4	yes	complemented
49	C₂²×#3019	C₂²	1	8	yes	complemented
50	C₂²×#3019	C₂²	1	4	yes	complemented
51	C₂²×#3019	C₂²	1	48	yes	complemented
52	C₂²×#2879	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#2879	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#2879	C₂²	1	1	yes	characteristic, complemented
55	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
58	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
59	C₂³×#413	C₂²	1	1	yes	characteristic, complemented
60	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
61	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
62	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
63	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
64	C₂³×#418	C₂²	1	1	yes	characteristic, complemented
65	C₂⁴×#100	C₂²	1	1	yes	characteristic, complemented
66	#6437593	C₂²	1	1024	yes	direct product factor
67	C₂×#23894	C₂²	1	384	yes	complemented
68	C₂×#23892	C₂²	1	384	yes	complemented
69	C₂×#23439	C₂²	1	48	yes	complemented
70	C₂²×#2019	C₂²	1	4	yes	complemented
71	C₂²×#2018	C₂²	1	4	yes	complemented
72	C₂×#23434	C₂²	1	48	yes	complemented
73	C₂²×#2017	C₂²	1	8	yes	complemented
74	C₂×#23412	C₂²	1	48	yes	complemented
75	C₂²×#2009	C₂²	1	4	yes	complemented
76	C₂²×#2008	C₂²	1	8	yes	complemented
77	C₂²×#2008	C₂²	1	4	yes	complemented
78	C₂²×#2008	C₂²	1	48	yes	complemented
79	C₂×#20995	C₂²	1	48	yes	complemented
80	C₂²×#1903	C₂²	1	4	yes	complemented
81	C₂²×#1903	C₂²	1	8	yes	complemented
82	C₂²×#1903	C₂²	1	48	yes	complemented
83	C₂²×#1902	C₂²	1	4	yes	complemented
84	C₂×#20939	C₂²	1	48	yes	complemented
85	C₂×#20939	C₂²	1	48	yes	complemented
86	C₂²×#1881	C₂²	1	8	yes	complemented
87	C₂²×#1881	C₂²	1	8	yes	complemented
88	C₂×#20620	C₂²	1	48	yes	complemented
89	C₂²×#1794	C₂²	1	8	yes	complemented
90	C₂³×#344	C₂²	1	1	yes	characteristic, complemented
91	C₂³×#344	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#1738	C₂²	1	1	yes	characteristic, complemented
93	C₂³×#338	C₂²	1	1	yes	characteristic, complemented
94	C₂²×#585	D₄	1	4	yes	complemented
95	C₂²×#585	D₄	1	24	yes	complemented
96	C₂²×#585	C₂³	1	4	yes	—
97	C₂²×#585	C₂³	1	24	yes	—
98	C₂²×#585	C₂³	1	24	yes	complemented
99	C₂³×2₋¹⁺⁴	D₄	1	2	yes	complemented
100	C₂³×2₋¹⁺⁴	C₂³	1	2	yes	complemented
101	C₂³×H(5,𝔽₂)	D₄	1	2	yes	complemented
102	C₂³×H(5,𝔽₂)	C₂³	1	4	yes	—
103	C₂³×H(5,𝔽₂)	C₂³	1	24	yes	complemented
104	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	complemented
105	C₂⁴×#41	C₂³	1	1	yes	characteristic
106	C₂⁴×#41	C₂³	1	1	yes	characteristic
107	C₂⁴×#41	C₂³	1	1	yes	characteristic
108	C₂⁴×#41	C₂³	1	1	yes	characteristic
109	C₂⁴×#41	C₂³	1	1	yes	characteristic
110	C₂⁴×#41	C₂³	1	1	yes	characteristic
111	C₂⁵×D₄	C₂³	1	1	yes	characteristic
112	#63090	C₂³	1	256	yes	complemented
113	C₂×#3586	C₂³	1	96	yes	complemented
114	C₂×#3585	C₂³	1	192	yes	complemented
115	C₂×#3585	C₂³	1	256	yes	complemented
116	C₂×#3585	C₂³	1	96	yes	complemented
117	C₂²×#575	D₄	1	4	yes	complemented
118	C₂²×#575	D₄	1	24	yes	complemented
119	C₂²×#575	D₄	1	4	yes	complemented
120	C₂²×#575	D₄	1	24	yes	complemented
121	C₂²×#575	D₄	1	24	yes	complemented
122	C₂²×#575	C₂³	1	4	yes	—
123	C₂²×#575	C₂³	1	4	yes	—
124	C₂²×#575	C₂³	1	4	yes	—
125	C₂²×#575	C₂³	1	24	yes	—
126	C₂²×#575	C₂³	1	24	yes	—
127	C₂²×#575	C₂³	1	24	yes	—
128	C₂²×#575	C₂³	1	24	yes	complemented
129	C₂²×#575	C₂³	1	4	yes	complemented
130	C₂²×#575	C₂³	1	24	yes	complemented
131	C₂²×#575	C₂³	1	24	yes	complemented
132	C₂²×#575	C₂³	1	4	yes	complemented
133	C₂²×#575	C₂³	1	24	yes	complemented
134	C₂³×#137	D₄	1	2	yes	complemented
135	C₂³×#137	D₄	1	2	yes	complemented
136	C₂³×#137	D₄	1	2	yes	complemented
137	C₂³×#137	C₂³	1	2	yes	—
138	C₂³×#137	C₂³	1	2	yes	complemented
139	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
140	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
141	C₂³×AGL(1,ℤ/8)	D₄	1	4	yes	complemented
142	C₂³×AGL(1,ℤ/8)	D₄	1	24	yes	complemented
143	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
144	C₂³×AGL(1,ℤ/8)	C₂³	1	4	yes	—
145	C₂³×AGL(1,ℤ/8)	C₂³	1	4	yes	—
146	C₂³×AGL(1,ℤ/8)	C₂³	1	24	yes	—
147	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
148	C₂³×AGL(1,ℤ/8)	C₂³	1	24	yes	complemented
149	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	complemented
150	C₂³×AGL(1,ℤ/8)	C₂³	1	24	yes	complemented
151	C₂³×#135	D₄	1	4	yes	complemented
152	C₂⁴×SD₁₆	D₄	1	2	yes	complemented
153	C₂⁴×SD₁₆	C₂³	1	2	yes	complemented
154	C₂⁴×D₈	D₄	1	2	yes	complemented
155	C₂⁴×D₈	C₂³	1	2	yes	complemented
156	C₂²×#568	C₂³	1	4	yes	—
157	C₂²×#568	C₂³	1	24	yes	complemented
158	C₂²×#568	C₂³	1	4	yes	complemented
159	C₂²×#568	C₂³	1	24	yes	complemented
160	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
161	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
162	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
163	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
164	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
165	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
166	C₂×#3449	C₂³	1	24	yes	complemented
167	C₂²×#536	C₂³	1	2	yes	complemented
168	C₂²×#535	C₂³	1	4	yes	complemented
169	C₂²×#535	C₂³	1	24	yes	complemented
170	C₂²×#535	C₂³	1	2	yes	complemented
171	C₂³×#117	C₂³	1	1	yes	characteristic
172	C₂³×#117	C₂³	1	1	yes	characteristic
173	#60387	C₂³	1	256	yes	complemented
174	C₂×#3020	C₂³	1	96	yes	complemented
175	C₂×#3019	C₂³	1	192	yes	complemented
176	C₂×#3019	C₂³	1	96	yes	complemented
177	C₂×#3019	C₂³	1	256	yes	complemented
178	#60369	C₂³	1	256	yes	complemented
179	#60367	C₂³	1	256	yes	complemented
180	C₂×#3010	C₂³	1	96	yes	complemented
181	C₂×#3009	C₂³	1	96	yes	complemented
182	C₂×#3008	C₂³	1	96	yes	complemented
183	C₂×#3008	C₂³	1	96	yes	complemented
184	C₂²×#421	C₂³	1	4	yes	—
185	C₂²×#421	C₂³	1	24	yes	complemented
186	C₂²×#421	C₂³	1	4	yes	complemented
187	C₂²×#421	C₂³	1	4	yes	complemented
188	C₂²×#421	C₂³	1	24	yes	complemented
189	C₂²×#421	C₂³	1	24	yes	complemented
190	C₂²×#421	C₂³	1	4	yes	complemented
191	C₂²×#421	C₂³	1	24	yes	complemented
192	C₂×#2896	C₂³	1	24	yes	complemented
193	C₂×#2896	C₂³	1	24	yes	complemented
194	C₂×#2896	C₂³	1	24	yes	complemented
195	C₂²×#419	C₂³	1	2	yes	complemented
196	C₂²×#418	C₂³	1	4	yes	complemented
197	C₂²×#418	C₂³	1	24	yes	complemented
198	C₂²×#418	C₂³	1	2	yes	complemented
199	C₂²×#416	C₂³	1	4	yes	—
200	C₂²×#416	C₂³	1	4	yes	complemented
201	C₂²×#413	C₂³	1	24	yes	complemented
202	C₂³×#101	C₂³	1	2	yes	complemented
203	C₂³×#100	C₂³	1	2	yes	complemented
204	C₂³×#100	C₂³	1	4	yes	complemented
205	C₂³×#100	C₂³	1	24	yes	complemented
206	C₂²×#410	C₂³	1	4	yes	complemented
207	C₂²×#410	C₂³	1	24	yes	complemented
208	C₂×#2879	C₂³	1	24	yes	complemented
209	C₂×#2879	C₂³	1	24	yes	complemented
210	C₂×#2879	C₂³	1	24	yes	complemented
211	C₂²×#408	C₂³	1	4	yes	complemented
212	C₂²×#408	C₂³	1	4	yes	complemented
213	C₂²×#408	C₂³	1	4	yes	complemented
214	#23894	C₂³	1	2048	yes	complemented
215	#23892	C₂³	1	2048	yes	complemented
216	#23439	C₂³	1	256	yes	complemented
217	C₂×#2019	C₂³	1	96	yes	complemented
218	C₂×#2018	C₂³	1	96	yes	complemented
219	#23434	C₂³	1	256	yes	complemented
220	C₂×#2017	C₂³	1	192	yes	complemented
221	#23412	C₂³	1	256	yes	complemented
222	C₂×#2009	C₂³	1	96	yes	complemented
223	C₂×#2008	C₂³	1	192	yes	complemented
224	C₂×#2008	C₂³	1	96	yes	complemented
225	C₂×#2008	C₂³	1	256	yes	complemented
226	#20995	C₂³	1	256	yes	complemented
227	C₂×#1903	C₂³	1	96	yes	complemented
228	C₂×#1903	C₂³	1	192	yes	complemented
229	C₂×#1903	C₂³	1	256	yes	complemented
230	C₂×#1902	C₂³	1	96	yes	complemented
231	#20939	C₂³	1	256	yes	complemented
232	#20939	C₂³	1	256	yes	complemented
233	C₂×#1881	C₂³	1	192	yes	complemented
234	C₂×#1881	C₂³	1	192	yes	complemented
235	#20620	C₂³	1	256	yes	complemented
236	C₂×#1794	C₂³	1	192	yes	complemented
237	C₂²×#344	C₂³	1	4	yes	complemented
238	C₂²×#344	C₂³	1	4	yes	complemented
239	C₂²×#344	C₂³	1	24	yes	complemented
240	C₂²×#344	C₂³	1	24	yes	complemented
241	C₂×#1738	C₂³	1	24	yes	complemented
242	C₂²×#341	C₂³	1	4	yes	complemented
243	C₂²×#338	C₂³	1	4	yes	complemented
244	C₂²×#338	C₂³	1	24	yes	complemented
245	C₂×#585	C₂×D₄	1	96	yes	complemented
246	C₂×#585	C₂×D₄	1	48	yes	complemented
247	C₂×#585	C₂×D₄	1	192	yes	complemented
248	C₂×#585	C₂⁴	1	48	yes	—
249	C₂×#585	C₂⁴	1	64	yes	—
250	C₂×#585	C₂⁴	1	64	yes	complemented
251	C₂²×2₋¹⁺⁴	C₂×D₄	1	8	yes	complemented
252	C₂²×2₋¹⁺⁴	C₂×D₄	1	48	yes	complemented
253	C₂²×2₋¹⁺⁴	C₂⁴	1	24	yes	complemented
254	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	complemented
255	C₂²×H(5,𝔽₂)	C₂×D₄	1	48	yes	complemented
256	C₂²×H(5,𝔽₂)	C₂⁴	1	48	yes	—
257	C₂²×H(5,𝔽₂)	C₂⁴	1	64	yes	complemented
258	C₂²×H(5,𝔽₂)	C₂⁴	1	24	yes	complemented
259	C₂³×#41	C₂×D₄	1	2	yes	—
260	C₂³×#41	C₂×D₄	1	2	yes	—
261	C₂³×#41	C₂×D₄	1	2	yes	—
262	C₂³×#41	C₂×D₄	1	2	yes	—
263	C₂³×#41	C₂×D₄	1	12	yes	—
264	C₂³×#41	C₂×D₄	1	12	yes	—
265	C₂³×#41	C₂×D₄	1	2	yes	—
266	C₂³×#41	C₂×D₄	1	2	yes	—
267	C₂³×#41	C₂×D₄	1	12	yes	—
268	C₂³×#41	C₂×D₄	1	2	yes	—
269	C₂³×#41	C₂×D₄	1	2	yes	—
270	C₂³×#41	C₂×D₄	1	12	yes	—
271	C₂³×#41	C₂×D₄	1	2	yes	—
272	C₂³×#41	C₂×D₄	1	2	yes	—
273	C₂³×#41	C₂×D₄	1	2	yes	—
274	C₂³×#41	C₂×D₄	1	12	yes	—
275	C₂³×#41	C₂×D₄	1	12	yes	—
276	C₂³×#41	C₂×D₄	1	2	yes	—
277	C₂³×#41	C₂×D₄	1	2	yes	—
278	C₂³×#41	C₂×D₄	1	12	yes	—
279	C₂³×#41	C₂×D₄	1	12	yes	—
280	C₂³×#41	C₂×D₄	1	2	yes	—
281	C₂³×#41	C₂×D₄	1	2	yes	—
282	C₂³×#41	C₂×D₄	1	12	yes	—
283	C₂³×#41	C₂×D₄	1	12	yes	—
284	C₂³×#41	C₂⁴	1	2	yes	—
285	C₂³×#41	C₂⁴	1	12	yes	—
286	C₂³×#41	C₂⁴	1	2	yes	—
287	C₂³×#41	C₂⁴	1	12	yes	—
288	C₂³×#41	C₂⁴	1	2	yes	—
289	C₂³×#41	C₂⁴	1	12	yes	—
290	C₂³×#41	C₂⁴	1	2	yes	—
291	C₂³×#41	C₂⁴	1	2	yes	—
292	C₂³×#41	C₂⁴	1	12	yes	—
293	C₂³×#41	C₂⁴	1	12	yes	—
294	C₂³×#41	C₂⁴	1	12	yes	—
295	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
296	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
297	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
298	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
299	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
300	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic
301	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
302	C₂⁴×D₄	C₂×D₄	1	2	yes	—
303	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
304	C₂⁴×D₄	C₂×D₄	1	2	yes	—
305	C₂⁴×D₄	C₂×D₄	1	12	yes	—
306	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
307	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
308	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
309	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
310	C₂⁴×D₄	C₂⁴	1	2	yes	—
311	C₂⁴×D₄	C₂⁴	1	12	yes	—
312	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
313	#3586	C₂⁴	1	256	yes	complemented
314	#3585	C₂⁴	1	512	yes	complemented
315	#3585	C₂⁴	1	256	yes	complemented
316	C₂×#575	C₂×D₄	1	48	yes	—
317	C₂×#575	C₂×D₄	1	96	yes	complemented
318	C₂×#575	C₂×D₄	1	192	yes	complemented
319	C₂×#575	C₂×D₄	1	96	yes	complemented
320	C₂×#575	C₂×D₄	1	48	yes	complemented
321	C₂×#575	C₂×D₄	1	192	yes	complemented
322	C₂×#575	C₂×D₄	1	192	yes	complemented
323	C₂×#575	C₂⁴	1	48	yes	—
324	C₂×#575	C₂⁴	1	48	yes	—
325	C₂×#575	C₂⁴	1	48	yes	—
326	C₂×#575	C₂⁴	1	64	yes	—
327	C₂×#575	C₂⁴	1	64	yes	—
328	C₂×#575	C₂⁴	1	64	yes	—
329	C₂×#575	C₂⁴	1	64	yes	complemented
330	C₂×#575	C₂⁴	1	48	yes	complemented
331	C₂×#575	C₂⁴	1	64	yes	complemented
332	C₂×#575	C₂⁴	1	64	yes	complemented
333	C₂×#575	C₂⁴	1	48	yes	complemented
334	C₂×#575	C₂⁴	1	64	yes	complemented
335	C₂²×#137	C₂×D₄	1	8	yes	—
336	C₂²×#137	C₂×D₄	1	48	yes	complemented
337	C₂²×#137	C₂×D₄	1	8	yes	complemented
338	C₂²×#137	C₂×D₄	1	48	yes	complemented
339	C₂²×#137	C₂×D₄	1	48	yes	complemented
340	C₂²×#137	C₂×D₄	1	24	yes	complemented
341	C₂²×#137	C₂⁴	1	24	yes	—
342	C₂²×#137	C₂⁴	1	24	yes	complemented
343	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
344	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	—
345	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	complemented
346	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
347	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	complemented
348	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	96	yes	complemented
349	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	192	yes	complemented
350	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	complemented
351	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	24	yes	complemented
352	C₂²×AGL(1,ℤ/8)	C₂⁴	1	48	yes	—
353	C₂²×AGL(1,ℤ/8)	C₂⁴	1	48	yes	—
354	C₂²×AGL(1,ℤ/8)	C₂⁴	1	64	yes	—
355	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
356	C₂²×AGL(1,ℤ/8)	C₂⁴	1	64	yes	complemented
357	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	complemented
358	C₂²×AGL(1,ℤ/8)	C₂⁴	1	64	yes	complemented
359	C₂²×#135	C₂×D₄	1	96	yes	complemented
360	C₂³×Q₁₆	C₂×D₄	1	4	yes	complemented
361	C₂³×SD₁₆	C₂×D₄	1	8	yes	—
362	C₂³×SD₁₆	C₂×D₄	1	48	yes	complemented
363	C₂³×SD₁₆	C₂×D₄	1	4	yes	complemented
364	C₂³×SD₁₆	C₂×D₄	1	4	yes	complemented
365	C₂³×SD₁₆	C₂⁴	1	24	yes	complemented
366	C₂³×D₈	C₂×D₄	1	8	yes	—
367	C₂³×D₈	C₂×D₄	1	48	yes	complemented
368	C₂³×D₈	C₂×D₄	1	4	yes	complemented
369	C₂³×D₈	C₂⁴	1	24	yes	complemented
370	C₂×#568	C₂⁴	1	48	yes	—
371	C₂×#568	C₂⁴	1	64	yes	complemented
372	C₂×#568	C₂⁴	1	48	yes	complemented
373	C₂×#568	C₂⁴	1	64	yes	complemented
374	C₂³×M₁₆	C₂×D₄	1	2	yes	—
375	C₂³×M₁₆	C₂×D₄	1	2	yes	—
376	C₂³×M₁₆	C₂×D₄	1	2	yes	—
377	C₂³×M₁₆	C₂×D₄	1	12	yes	—
378	C₂³×M₁₆	C₂×D₄	1	2	yes	—
379	C₂³×M₁₆	C₂×D₄	1	12	yes	—
380	C₂³×M₁₆	C₂×D₄	1	2	yes	—
381	C₂³×M₁₆	C₂×D₄	1	12	yes	—
382	C₂³×M₁₆	C₂×D₄	1	2	yes	—
383	C₂³×M₁₆	C₂×D₄	1	12	yes	—
384	C₂³×M₁₆	C₂⁴	1	2	yes	—
385	C₂³×M₁₆	C₂⁴	1	12	yes	—
386	C₂³×M₁₆	C₂⁴	1	2	yes	—
387	C₂³×M₁₆	C₂⁴	1	12	yes	—
388	C₂³×M₁₆	C₂⁴	1	2	yes	—
389	C₂³×M₁₆	C₂⁴	1	12	yes	—
390	C₂³×M₁₆	C₂⁴	1	2	yes	—
391	C₂³×M₁₆	C₂⁴	1	12	yes	—
392	C₂³×M₁₆	C₂⁴	1	2	yes	—
393	C₂³×M₁₆	C₂⁴	1	12	yes	—
394	C₂³×M₁₆	C₂⁴	1	12	yes	—
395	C₂⁴×C₈	C₂×D₄	1	2	yes	—
396	C₂⁴×C₈	C₂×D₄	1	2	yes	—
397	C₂⁴×C₈	C₂⁴	1	2	yes	—
398	#3449	C₂⁴	1	64	yes	complemented
399	C₂×#536	C₂⁴	1	24	yes	complemented
400	C₂×#535	C₂⁴	1	24	yes	complemented
401	C₂×#535	C₂⁴	1	48	yes	complemented
402	C₂×#535	C₂⁴	1	64	yes	complemented
403	C₂²×#117	C₂⁴	1	2	yes	—
404	C₂²×#117	C₂⁴	1	2	yes	—
405	C₂²×#117	C₂⁴	1	12	yes	—
406	C₂²×#117	C₂⁴	1	12	yes	—
407	#3020	C₂⁴	1	256	yes	complemented
408	#3019	C₂⁴	1	512	yes	complemented
409	#3019	C₂⁴	1	256	yes	complemented
410	#3010	C₂⁴	1	256	yes	complemented
411	#3009	C₂⁴	1	256	yes	complemented
412	#3008	C₂⁴	1	256	yes	complemented
413	#3008	C₂⁴	1	256	yes	complemented
414	C₂×#421	C₂⁴	1	48	yes	—
415	C₂×#421	C₂⁴	1	64	yes	complemented
416	C₂×#421	C₂⁴	1	48	yes	complemented
417	C₂×#421	C₂⁴	1	64	yes	complemented
418	C₂×#421	C₂⁴	1	48	yes	complemented
419	C₂×#421	C₂⁴	1	64	yes	complemented
420	C₂×#421	C₂⁴	1	48	yes	complemented
421	C₂×#421	C₂⁴	1	64	yes	complemented
422	#2896	C₂⁴	1	64	yes	complemented
423	#2896	C₂⁴	1	64	yes	complemented
424	#2896	C₂⁴	1	64	yes	complemented
425	C₂×#419	C₂⁴	1	24	yes	complemented
426	C₂×#418	C₂⁴	1	48	yes	complemented
427	C₂×#418	C₂⁴	1	64	yes	complemented
428	C₂×#418	C₂⁴	1	24	yes	complemented
429	C₂×#416	C₂⁴	1	48	yes	—
430	C₂×#416	C₂⁴	1	48	yes	complemented
431	C₂×#413	C₂⁴	1	64	yes	complemented
432	C₂²×#101	C₂⁴	1	24	yes	complemented
433	C₂²×#100	C₂⁴	1	24	yes	complemented
434	C₂²×#100	C₂⁴	1	48	yes	complemented
435	C₂²×#100	C₂⁴	1	64	yes	complemented
436	C₂×#410	C₂⁴	1	48	yes	complemented
437	C₂×#410	C₂⁴	1	64	yes	complemented
438	#2879	C₂⁴	1	64	yes	complemented
439	#2879	C₂⁴	1	64	yes	complemented
440	#2879	C₂⁴	1	64	yes	complemented
441	C₂×#408	C₂⁴	1	48	yes	complemented
442	C₂×#408	C₂⁴	1	48	yes	complemented
443	C₂×#408	C₂⁴	1	48	yes	complemented
444	#2019	C₂⁴	1	256	yes	complemented
445	#2018	C₂⁴	1	256	yes	complemented
446	#2017	C₂⁴	1	512	yes	complemented
447	#2009	C₂⁴	1	256	yes	complemented
448	#2008	C₂⁴	1	512	yes	complemented
449	#2008	C₂⁴	1	256	yes	complemented
450	#1903	C₂⁴	1	256	yes	complemented
451	#1903	C₂⁴	1	512	yes	complemented
452	#1902	C₂⁴	1	256	yes	complemented
453	#1881	C₂⁴	1	512	yes	complemented
454	#1881	C₂⁴	1	512	yes	complemented
455	#1794	C₂⁴	1	512	yes	complemented
456	C₂×#344	C₂⁴	1	48	yes	complemented
457	C₂×#344	C₂⁴	1	48	yes	complemented
458	C₂×#344	C₂⁴	1	64	yes	complemented
459	C₂×#344	C₂⁴	1	64	yes	complemented
460	#1738	C₂⁴	1	64	yes	complemented
461	C₂×#341	C₂⁴	1	48	yes	complemented
462	C₂×#338	C₂⁴	1	48	yes	complemented
463	C₂×#338	C₂⁴	1	64	yes	complemented
464	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
465	#585	C₂²×D₄	1	256	yes	complemented
466	#585	C₂²×D₄	1	192	yes	complemented
467	#585	C₂⁵	1	64	yes	—
468	C₂×2₋¹⁺⁴	C₂²×D₄	1	128	yes	complemented
469	C₂×2₋¹⁺⁴	C₂²×D₄	1	96	yes	complemented
470	C₂×2₋¹⁺⁴	C₂⁵	1	32	yes	complemented
471	C₂×H(5,𝔽₂)	C₂²×D₄	1	128	yes	complemented
472	C₂×H(5,𝔽₂)	C₂²×D₄	1	96	yes	complemented
473	C₂×H(5,𝔽₂)	C₂⁵	1	64	yes	—
474	C₂×H(5,𝔽₂)	C₂⁵	1	32	yes	complemented
475	C₂²×#41	#120	1	4	yes	—
476	C₂²×#41	#120	1	4	yes	—
477	C₂²×#41	#120	1	24	yes	—
478	C₂²×#41	#120	1	24	yes	—
479	C₂²×#41	#120	1	4	yes	—
480	C₂²×#41	#120	1	24	yes	—
481	C₂²×#41	#120	1	4	yes	—
482	C₂²×#41	#120	1	24	yes	—
483	C₂²×#41	#120	1	24	yes	—
484	C₂²×#41	#120	1	24	yes	—
485	C₂²×#41	#120	1	24	yes	—
486	C₂²×#41	#120	1	24	yes	—
487	C₂²×#41	#120	1	96	yes	—
488	C₂²×#41	#120	1	24	yes	—
489	C₂²×#41	#120	1	24	yes	—
490	C₂²×#41	#120	1	96	yes	—
491	C₂²×#41	C₂²×D₄	1	4	yes	—
492	C₂²×#41	C₂²×D₄	1	24	yes	—
493	C₂²×#41	C₂²×D₄	1	4	yes	—
494	C₂²×#41	C₂²×D₄	1	24	yes	—
495	C₂²×#41	C₂²×D₄	1	4	yes	—
496	C₂²×#41	C₂²×D₄	1	24	yes	—
497	C₂²×#41	C₂²×D₄	1	24	yes	—
498	C₂²×#41	C₂²×D₄	1	12	yes	—
499	C₂²×#41	C₂²×D₄	1	48	yes	—
500	C₂²×#41	C₂²×D₄	1	24	yes	—
501	C₂²×#41	C₂²×D₄	1	12	yes	—
502	C₂²×#41	C₂²×D₄	1	48	yes	—
503	C₂²×#41	C₂²×D₄	1	4	yes	—
504	C₂²×#41	C₂²×D₄	1	12	yes	—
505	C₂²×#41	C₂²×D₄	1	12	yes	—
506	C₂²×#41	C₂²×D₄	1	24	yes	—
507	C₂²×#41	C₂²×D₄	1	24	yes	—
508	C₂²×#41	C₂²×D₄	1	48	yes	—
509	C₂²×#41	C₂²×D₄	1	24	yes	—
510	C₂²×#41	C₂²×D₄	1	48	yes	—
511	C₂²×#41	C₂²×D₄	1	24	yes	—
512	C₂²×#41	C₂²×D₄	1	24	yes	—
513	C₂²×#41	C₂²×D₄	1	12	yes	—
514	C₂²×#41	C₂²×D₄	1	48	yes	—
515	C₂²×#41	C₂²×D₄	1	12	yes	—
516	C₂²×#41	C₂²×D₄	1	24	yes	—
517	C₂²×#41	C₂²×D₄	1	48	yes	—
518	C₂²×#41	C₂²×D₄	1	24	yes	—
519	C₂²×#41	C₂²×D₄	1	48	yes	—
520	C₂²×#41	C₂²×D₄	1	24	yes	—
521	C₂²×#41	C₂²×D₄	1	12	yes	—
522	C₂²×#41	C₂²×D₄	1	48	yes	—
523	C₂²×#41	C₂²×D₄	1	24	yes	—
524	C₂²×#41	C₂²×D₄	1	12	yes	—
525	C₂²×#41	C₂²×D₄	1	24	yes	—
526	C₂²×#41	C₂²×D₄	1	48	yes	—
527	C₂²×#41	C₂²×D₄	1	12	yes	—
528	C₂²×#41	C₂²×D₄	1	48	yes	—
529	C₂²×#41	C₂⁵	1	12	yes	—
530	C₂²×#41	C₂⁵	1	16	yes	—
531	C₂²×#41	C₂⁵	1	12	yes	—
532	C₂²×#41	C₂⁵	1	12	yes	—
533	C₂²×#41	C₂⁵	1	16	yes	—
534	C₂²×#41	C₂⁵	1	16	yes	—
535	C₂²×#41	C₂⁵	1	12	yes	—
536	C₂²×#41	C₂⁵	1	16	yes	—
537	C₂²×#41	C₂⁵	1	12	yes	—
538	C₂²×#41	C₂⁵	1	16	yes	—
539	C₂²×#41	C₂⁵	1	16	yes	—
540	C₂³×Q₈	#120	1	2	yes	—
541	C₂³×Q₈	#120	1	2	yes	—
542	C₂³×Q₈	#120	1	2	yes	—
543	C₂³×Q₈	#120	1	12	yes	—
544	C₂³×Q₈	#120	1	2	yes	—
545	C₂³×Q₈	#120	1	12	yes	—
546	C₂³×Q₈	C₂²×D₄	1	2	yes	—
547	C₂³×Q₈	C₂²×D₄	1	2	yes	—
548	C₂³×Q₈	C₂²×D₄	1	12	yes	—
549	C₂³×Q₈	C₂²×D₄	1	12	yes	—
550	C₂³×Q₈	C₂²×D₄	1	2	yes	—
551	C₂³×Q₈	C₂²×D₄	1	12	yes	—
552	C₂³×Q₈	C₂²×D₄	1	2	yes	—
553	C₂³×Q₈	C₂²×D₄	1	6	yes	—
554	C₂³×Q₈	C₂²×D₄	1	2	yes	—
555	C₂³×Q₈	C₂²×D₄	1	2	yes	—
556	C₂³×Q₈	C₂²×D₄	1	12	yes	—
557	C₂³×Q₈	C₂²×D₄	1	12	yes	—
558	C₂³×Q₈	C₂⁵	1	6	yes	—
559	C₂³×D₄	#120	1	2	yes	—
560	C₂³×D₄	#120	1	2	yes	—
561	C₂³×D₄	#120	1	2	yes	—
562	C₂³×D₄	#120	1	12	yes	—
563	C₂³×D₄	#120	1	2	yes	—
564	C₂³×D₄	#120	1	12	yes	—
565	C₂³×D₄	C₂²×D₄	1	2	yes	—
566	C₂³×D₄	C₂²×D₄	1	12	yes	—
567	C₂³×D₄	C₂²×D₄	1	2	yes	—
568	C₂³×D₄	C₂²×D₄	1	4	yes	—
569	C₂³×D₄	C₂²×D₄	1	24	yes	—
570	C₂³×D₄	C₂²×D₄	1	12	yes	—
571	C₂³×D₄	C₂²×D₄	1	24	yes	—
572	C₂³×D₄	C₂²×D₄	1	48	yes	—
573	C₂³×D₄	C₂²×D₄	1	12	yes	—
574	C₂³×D₄	C₂²×D₄	1	2	yes	—
575	C₂³×D₄	C₂²×D₄	1	12	yes	—
576	C₂³×D₄	C₂²×D₄	1	2	yes	—
577	C₂³×D₄	C₂²×D₄	1	6	yes	—
578	C₂³×D₄	C₂²×D₄	1	2	yes	—
579	C₂³×D₄	C₂²×D₄	1	12	yes	—
580	C₂³×D₄	C₂²×D₄	1	2	yes	—
581	C₂³×D₄	C₂²×D₄	1	12	yes	—
582	C₂³×D₄	C₂⁵	1	12	yes	—
583	C₂³×D₄	C₂⁵	1	16	yes	—
584	C₂³×D₄	C₂⁵	1	6	yes	—
585	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
586	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
587	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
588	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
589	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
590	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
591	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
592	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
593	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
594	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
595	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
596	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
597	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
598	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
599	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
600	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
601	C₂⁴×C₄	H(5,𝔽₂)	1	6	yes	—
602	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
603	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
604	C₂⁴×C₄	H(5,𝔽₂)	1	6	yes	—
605	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
606	C₂⁴×C₄	C₂⁵	1	6	yes	—
607	#575	C₂²×D₄	1	192	yes	—
608	#575	C₂²×D₄	1	256	yes	complemented
609	#575	C₂²×D₄	1	256	yes	complemented
610	#575	C₂²×D₄	1	192	yes	complemented
611	#575	C₂⁵	1	64	yes	—
612	#575	C₂⁵	1	64	yes	—
613	#575	C₂⁵	1	64	yes	—
614	#575	C₂⁵	1	64	yes	complemented
615	#575	C₂⁵	1	64	yes	complemented
616	C₂×#137	C₂²×D₄	1	96	yes	—
617	C₂×#137	C₂²×D₄	1	128	yes	complemented
618	C₂×#137	C₂²×D₄	1	96	yes	complemented
619	C₂×#137	C₂²×D₄	1	128	yes	complemented
620	C₂×#137	C₂²×D₄	1	128	yes	complemented
621	C₂×#137	C₂²×D₄	1	96	yes	complemented
622	C₂×#137	C₂⁵	1	32	yes	—
623	C₂×#137	C₂⁵	1	32	yes	complemented
624	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	96	yes	—
625	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	192	yes	—
626	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	128	yes	complemented
627	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	96	yes	complemented
628	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	128	yes	complemented
629	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	256	yes	complemented
630	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	128	yes	complemented
631	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	96	yes	complemented
632	C₂×AGL(1,ℤ/8)	C₂⁵	1	64	yes	—
633	C₂×AGL(1,ℤ/8)	C₂⁵	1	64	yes	—
634	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	—
635	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	complemented
636	C₂×#135	C₂²×D₄	1	256	yes	complemented
637	C₂²×Q₁₆	C₂²×D₄	1	48	yes	complemented
638	C₂²×SD₁₆	C₂²×D₄	1	96	yes	—
639	C₂²×SD₁₆	C₂²×D₄	1	128	yes	complemented
640	C₂²×SD₁₆	C₂²×D₄	1	48	yes	complemented
641	C₂²×SD₁₆	C₂²×D₄	1	48	yes	complemented
642	C₂²×SD₁₆	C₂⁵	1	32	yes	complemented
643	C₂²×D₈	C₂²×D₄	1	96	yes	—
644	C₂²×D₈	C₂²×D₄	1	128	yes	complemented
645	C₂²×D₈	C₂²×D₄	1	48	yes	complemented
646	C₂²×D₈	C₂⁵	1	32	yes	complemented
647	#568	C₂⁵	1	64	yes	—
648	#568	C₂⁵	1	64	yes	complemented
649	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
650	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
651	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
652	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
653	C₂²×M₁₆	C₂²×D₄	1	48	yes	—
654	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
655	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
656	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
657	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
658	C₂²×M₁₆	C₂²×D₄	1	48	yes	—
659	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
660	C₂²×M₁₆	C₂²×D₄	1	24	yes	—
661	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
662	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
663	C₂²×M₁₆	C₂²×D₄	1	48	yes	—
664	C₂²×M₁₆	C₂²×D₄	1	48	yes	—
665	C₂²×M₁₆	C₂⁵	1	12	yes	—
666	C₂²×M₁₆	C₂⁵	1	16	yes	—
667	C₂²×M₁₆	C₂⁵	1	12	yes	—
668	C₂²×M₁₆	C₂⁵	1	16	yes	—
669	C₂²×M₁₆	C₂⁵	1	12	yes	—
670	C₂²×M₁₆	C₂⁵	1	16	yes	—
671	C₂²×M₁₆	C₂⁵	1	12	yes	—
672	C₂²×M₁₆	C₂⁵	1	12	yes	—
673	C₂²×M₁₆	C₂⁵	1	16	yes	—
674	C₂²×M₁₆	C₂⁵	1	16	yes	—
675	C₂²×M₁₆	C₂⁵	1	16	yes	—
676	C₂³×C₈	C₂²×D₄	1	4	yes	—
677	C₂³×C₈	C₂²×D₄	1	4	yes	—
678	C₂³×C₈	C₂²×D₄	1	24	yes	—
679	C₂³×C₈	C₂²×D₄	1	24	yes	—
680	C₂³×C₈	C₂⁵	1	12	yes	—
681	#536	C₂⁵	1	32	yes	complemented
682	#535	C₂⁵	1	64	yes	complemented
683	#535	C₂⁵	1	32	yes	complemented
684	C₂×#117	C₂⁵	1	12	yes	—
685	C₂×#117	C₂⁵	1	12	yes	—
686	C₂×#117	C₂⁵	1	16	yes	—
687	C₂×#117	C₂⁵	1	16	yes	—
688	#421	C₂⁵	1	64	yes	—
689	#421	C₂⁵	1	64	yes	complemented
690	#421	C₂⁵	1	64	yes	complemented
691	#421	C₂⁵	1	64	yes	complemented
692	#419	C₂⁵	1	32	yes	complemented
693	#418	C₂⁵	1	64	yes	complemented
694	#418	C₂⁵	1	32	yes	complemented
695	#416	C₂⁵	1	64	yes	—
696	#416	C₂⁵	1	64	yes	complemented
697	C₂×#101	C₂⁵	1	32	yes	complemented
698	C₂×#100	C₂⁵	1	64	yes	complemented
699	C₂×#100	C₂⁵	1	32	yes	complemented
700	#410	C₂⁵	1	64	yes	complemented
701	#408	C₂⁵	1	64	yes	complemented
702	#408	C₂⁵	1	64	yes	complemented
703	#408	C₂⁵	1	64	yes	complemented
704	#344	C₂⁵	1	64	yes	complemented
705	#344	C₂⁵	1	64	yes	complemented
706	#341	C₂⁵	1	64	yes	complemented
707	#338	C₂⁵	1	64	yes	complemented
708	C₂⁵	#534	1	1	yes	characteristic
709	C₂⁵	#534	1	1	yes	characteristic
710	C₂⁵	#534	1	6	yes	—
711	C₂⁵	D₄²	1	1	yes	characteristic
712	C₂⁵	D₄²	1	1	yes	characteristic
713	C₂⁵	D₄²	1	1	yes	characteristic
714	C₂⁵	D₄²	1	1	yes	characteristic
715	C₂⁵	D₄²	1	6	yes	—
716	C₂⁵	D₄²	1	6	yes	—
717	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂⁵	C₂×H(5,𝔽₂)	1	6	yes	—
719	2₋¹⁺⁴	C₂³×D₄	1	128	yes	complemented
720	H(5,𝔽₂)	C₂³×D₄	1	128	yes	complemented
721	C₂×#41	C₂×#120	1	48	yes	—
722	C₂×#41	C₂×#120	1	48	yes	—
723	C₂×#41	C₂×#120	1	24	yes	—
724	C₂×#41	C₂×#120	1	96	yes	—
725	C₂×#41	C₂×#120	1	24	yes	—
726	C₂×#41	C₂×#120	1	48	yes	—
727	C₂×#41	C₂×#120	1	96	yes	—
728	C₂×#41	C₂×#120	1	96	yes	—
729	C₂×#41	C₂×#120	1	48	yes	—
730	C₂×#41	C₂×#120	1	24	yes	—
731	C₂×#41	C₂×#120	1	96	yes	—
732	C₂×#41	C₂×#120	1	24	yes	—
733	C₂×#41	C₂×#120	1	96	yes	—
734	C₂×#41	C₂×#120	1	48	yes	—
735	C₂×#41	C₂×#120	1	96	yes	—
736	C₂×#41	C₂×#120	1	96	yes	—
737	C₂×#41	C₂×#120	1	48	yes	—
738	C₂×#41	C₂×#120	1	96	yes	—
739	C₂×#41	C₂×#120	1	96	yes	—
740	C₂×#41	C₂×#120	1	96	yes	—
741	C₂×#41	C₂³×D₄	1	32	yes	—
742	C₂×#41	C₂³×D₄	1	32	yes	—
743	C₂×#41	C₂³×D₄	1	24	yes	—
744	C₂×#41	C₂³×D₄	1	32	yes	—
745	C₂×#41	C₂³×D₄	1	24	yes	—
746	C₂×#41	C₂³×D₄	1	32	yes	—
747	C₂×#41	C₂³×D₄	1	32	yes	—
748	C₂×#41	C₂³×D₄	1	24	yes	—
749	C₂×#41	C₂³×D₄	1	32	yes	—
750	C₂×#41	C₂³×D₄	1	24	yes	—
751	C₂×#41	C₂³×D₄	1	32	yes	—
752	C₂×#41	C₂³×D₄	1	24	yes	—
753	C₂×#41	C₂³×D₄	1	24	yes	—
754	C₂×#41	C₂³×D₄	1	24	yes	—
755	C₂×#41	C₂³×D₄	1	32	yes	—
756	C₂×#41	C₂³×D₄	1	32	yes	—
757	C₂×#41	C₂³×D₄	1	32	yes	—
758	C₂×#41	C₂³×D₄	1	32	yes	—
759	C₂×#41	C₂³×D₄	1	24	yes	—
760	C₂×#41	C₂³×D₄	1	24	yes	—
761	C₂×#41	C₂³×D₄	1	24	yes	—
762	C₂×#41	C₂³×D₄	1	32	yes	—
763	C₂×#41	C₂³×D₄	1	24	yes	—
764	C₂×#41	C₂³×D₄	1	32	yes	—
765	C₂×#41	C₂³×D₄	1	24	yes	—
766	C₂×#41	C₂³×D₄	1	24	yes	—
767	C₂×#41	C₂³×D₄	1	32	yes	—
768	C₂×#41	C₂³×D₄	1	32	yes	—
769	C₂×#41	C₂⁶	1	8	yes	—
770	C₂×#41	C₂⁶	1	8	yes	—
771	C₂×#41	C₂⁶	1	8	yes	—
772	C₂×#41	C₂⁶	1	8	yes	—
773	C₂×#41	C₂⁶	1	8	yes	—
774	C₂²×Q₈	C₂×#120	1	4	yes	—
775	C₂²×Q₈	C₂×#120	1	24	yes	—
776	C₂²×Q₈	C₂×#120	1	4	yes	—
777	C₂²×Q₈	C₂×#120	1	12	yes	—
778	C₂²×Q₈	C₂×#120	1	24	yes	—
779	C₂²×Q₈	C₂×#120	1	48	yes	—
780	C₂²×Q₈	C₂×#120	1	24	yes	—
781	C₂²×Q₈	C₂×#120	1	12	yes	—
782	C₂²×Q₈	C₂×#120	1	24	yes	—
783	C₂²×Q₈	C₂×#120	1	48	yes	—
784	C₂²×Q₈	C₂³×D₄	1	12	yes	—
785	C₂²×Q₈	C₂³×D₄	1	12	yes	—
786	C₂²×Q₈	C₂³×D₄	1	16	yes	—
787	C₂²×Q₈	C₂³×D₄	1	12	yes	—
788	C₂²×Q₈	C₂³×D₄	1	12	yes	—
789	C₂²×Q₈	C₂³×D₄	1	16	yes	—
790	C₂²×Q₈	C₂³×D₄	1	12	yes	—
791	C₂²×Q₈	C₂³×D₄	1	16	yes	—
792	C₂²×Q₈	C₂³×D₄	1	12	yes	—
793	C₂²×Q₈	C₂³×D₄	1	16	yes	—
794	C₂²×Q₈	C₂³×D₄	1	12	yes	—
795	C₂²×Q₈	C₂³×D₄	1	16	yes	—
796	C₂²×Q₈	C₂⁶	1	4	yes	—
797	C₂²×D₄	C₂×#120	1	4	yes	—
798	C₂²×D₄	C₂×#120	1	24	yes	—
799	C₂²×D₄	C₂×#120	1	4	yes	—
800	C₂²×D₄	C₂×#120	1	12	yes	—
801	C₂²×D₄	C₂×#120	1	24	yes	—
802	C₂²×D₄	C₂×#120	1	48	yes	—
803	C₂²×D₄	C₂×#120	1	24	yes	—
804	C₂²×D₄	C₂×#120	1	12	yes	—
805	C₂²×D₄	C₂×#120	1	24	yes	—
806	C₂²×D₄	C₂×#120	1	48	yes	—
807	C₂²×D₄	C₂³×D₄	1	12	yes	—
808	C₂²×D₄	C₂³×D₄	1	24	yes	—
809	C₂²×D₄	C₂³×D₄	1	32	yes	—
810	C₂²×D₄	C₂³×D₄	1	12	yes	—
811	C₂²×D₄	C₂³×D₄	1	12	yes	—
812	C₂²×D₄	C₂³×D₄	1	16	yes	—
813	C₂²×D₄	C₂³×D₄	1	12	yes	—
814	C₂²×D₄	C₂³×D₄	1	24	yes	—
815	C₂²×D₄	C₂³×D₄	1	32	yes	—
816	C₂²×D₄	C₂³×D₄	1	16	yes	—
817	C₂²×D₄	C₂³×D₄	1	12	yes	—
818	C₂²×D₄	C₂³×D₄	1	16	yes	—
819	C₂²×D₄	C₂³×D₄	1	12	yes	—
820	C₂²×D₄	C₂³×D₄	1	16	yes	—
821	C₂²×D₄	C₂³×D₄	1	12	yes	—
822	C₂²×D₄	C₂³×D₄	1	16	yes	—
823	C₂²×D₄	C₂⁶	1	4	yes	—
824	C₂²×D₄	C₂⁶	1	8	yes	—
825	C₂³×C₄	C₂×#120	1	1	yes	characteristic
826	C₂³×C₄	C₂×#120	1	1	yes	characteristic
827	C₂³×C₄	C₂×#120	1	1	yes	characteristic
828	C₂³×C₄	C₂×#120	1	1	yes	characteristic
829	C₂³×C₄	C₂×#120	1	6	yes	—
830	C₂³×C₄	C₂×#120	1	1	yes	characteristic
831	C₂³×C₄	C₂×#120	1	6	yes	—
832	C₂³×C₄	C₂×#120	1	1	yes	characteristic
833	C₂³×C₄	C₂×#120	1	6	yes	—
834	C₂³×C₄	C₂×#120	1	6	yes	—
835	C₂³×C₄	C₂×#120	1	1	yes	characteristic
836	C₂³×C₄	C₂×#120	1	1	yes	characteristic
837	C₂³×C₄	C₂×#120	1	6	yes	—
838	C₂³×C₄	C₂×#120	1	6	yes	—
839	C₂³×C₄	C₂×#120	1	6	yes	—
840	C₂³×C₄	C₂×#120	1	6	yes	—
841	C₂³×C₄	C₂×#120	1	6	yes	—
842	C₂³×C₄	C₂×#120	1	6	yes	—
843	C₂³×C₄	C₂×#120	1	24	yes	—
844	C₂³×C₄	C₂×#120	1	6	yes	—
845	C₂³×C₄	C₂×#120	1	6	yes	—
846	C₂³×C₄	C₂×#120	1	24	yes	—
847	C₂³×C₄	#534	1	1	yes	characteristic
848	C₂³×C₄	#534	1	6	yes	—
849	C₂³×C₄	#534	1	1	yes	characteristic
850	C₂³×C₄	#534	1	6	yes	—
851	C₂³×C₄	#534	1	6	yes	—
852	C₂³×C₄	#534	1	6	yes	—
853	C₂³×C₄	#534	1	6	yes	—
854	C₂³×C₄	#534	1	24	yes	—
855	C₂³×C₄	D₄²	1	1	yes	characteristic
856	C₂³×C₄	D₄²	1	1	yes	characteristic
857	C₂³×C₄	D₄²	1	6	yes	—
858	C₂³×C₄	D₄²	1	6	yes	—
859	C₂³×C₄	D₄²	1	6	yes	—
860	C₂³×C₄	D₄²	1	6	yes	—
861	C₂³×C₄	D₄²	1	6	yes	—
862	C₂³×C₄	D₄²	1	6	yes	—
863	C₂³×C₄	D₄²	1	6	yes	—
864	C₂³×C₄	D₄²	1	6	yes	—
865	C₂³×C₄	D₄²	1	24	yes	—
866	C₂³×C₄	D₄²	1	24	yes	—
867	C₂³×C₄	D₄²	1	1	yes	characteristic
868	C₂³×C₄	D₄²	1	1	yes	characteristic
869	C₂³×C₄	D₄²	1	6	yes	—
870	C₂³×C₄	D₄²	1	6	yes	—
871	C₂³×C₄	D₄²	1	1	yes	characteristic
872	C₂³×C₄	D₄²	1	1	yes	characteristic
873	C₂³×C₄	D₄²	1	6	yes	—
874	C₂³×C₄	D₄²	1	1	yes	characteristic
875	C₂³×C₄	D₄²	1	6	yes	—
876	C₂³×C₄	D₄²	1	6	yes	—
877	C₂³×C₄	D₄²	1	1	yes	characteristic
878	C₂³×C₄	D₄²	1	1	yes	characteristic
879	C₂³×C₄	D₄²	1	1	yes	characteristic
880	C₂³×C₄	D₄²	1	6	yes	—
881	C₂³×C₄	D₄²	1	6	yes	—
882	C₂³×C₄	D₄²	1	6	yes	—
883	C₂³×C₄	D₄²	1	1	yes	characteristic
884	C₂³×C₄	D₄²	1	6	yes	—
885	C₂³×C₄	D₄²	1	6	yes	—
886	C₂³×C₄	D₄²	1	1	yes	characteristic
887	C₂³×C₄	D₄²	1	6	yes	—
888	C₂³×C₄	D₄²	1	6	yes	—
889	C₂³×C₄	D₄²	1	24	yes	—
890	C₂³×C₄	D₄²	1	6	yes	—
891	C₂³×C₄	D₄²	1	6	yes	—
892	C₂³×C₄	D₄²	1	24	yes	—
893	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
894	C₂³×C₄	C₂³×D₄	1	6	yes	—
895	C₂³×C₄	C₂³×D₄	1	6	yes	—
896	C₂³×C₄	C₂³×D₄	1	3	yes	—
897	C₂³×C₄	C₂³×D₄	1	12	yes	—
898	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
899	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
900	C₂³×C₄	C₂³×D₄	1	6	yes	—
901	C₂³×C₄	C₂³×D₄	1	6	yes	—
902	C₂³×C₄	C₂³×D₄	1	3	yes	—
903	C₂³×C₄	C₂³×D₄	1	3	yes	—
904	C₂³×C₄	C₂³×D₄	1	6	yes	—
905	C₂³×C₄	C₂³×D₄	1	6	yes	—
906	C₂³×C₄	C₂³×D₄	1	6	yes	—
907	C₂³×C₄	C₂³×D₄	1	6	yes	—
908	C₂³×C₄	C₂³×D₄	1	3	yes	—
909	C₂³×C₄	C₂³×D₄	1	3	yes	—
910	C₂³×C₄	C₂³×D₄	1	12	yes	—
911	C₂³×C₄	C₂³×D₄	1	12	yes	—
912	C₂³×C₄	C₂³×D₄	1	12	yes	—
913	C₂³×C₄	C₂³×D₄	1	12	yes	—
914	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
915	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
916	C₂³×C₄	C₂³×D₄	1	6	yes	—
917	C₂³×C₄	C₂³×D₄	1	6	yes	—
918	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
919	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
920	C₂³×C₄	C₂×H(5,𝔽₂)	1	6	yes	—
921	C₂³×C₄	C₂×H(5,𝔽₂)	1	6	yes	—
922	C₂³×C₄	C₂×H(5,𝔽₂)	1	12	yes	—
923	C₂³×C₄	C₂×H(5,𝔽₂)	1	6	yes	—
924	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
925	C₂³×C₄	C₂×H(5,𝔽₂)	1	12	yes	—
926	C₂³×C₄	C₂⁶	1	3	yes	—
927	C₂³×C₄	C₂⁶	1	4	yes	—
928	#137	C₂³×D₄	1	128	yes	—
929	#137	C₂³×D₄	1	128	yes	complemented
930	AGL(1,ℤ/8)	C₂³×D₄	1	128	yes	—
931	AGL(1,ℤ/8)	C₂³×D₄	1	128	yes	complemented
932	C₂×Q₁₆	C₂³×D₄	1	64	yes	complemented
933	C₂×SD₁₆	C₂³×D₄	1	128	yes	—
934	C₂×SD₁₆	C₂³×D₄	1	64	yes	complemented
935	C₂×SD₁₆	C₂³×D₄	1	64	yes	complemented
936	C₂×D₈	C₂³×D₄	1	128	yes	—
937	C₂×D₈	C₂³×D₄	1	64	yes	complemented
938	C₂×M₁₆	C₂³×D₄	1	24	yes	—
939	C₂×M₁₆	C₂³×D₄	1	32	yes	—
940	C₂×M₁₆	C₂³×D₄	1	24	yes	—
941	C₂×M₁₆	C₂³×D₄	1	32	yes	—
942	C₂×M₁₆	C₂³×D₄	1	24	yes	—
943	C₂×M₁₆	C₂³×D₄	1	32	yes	—
944	C₂×M₁₆	C₂³×D₄	1	24	yes	—
945	C₂×M₁₆	C₂³×D₄	1	32	yes	—
946	C₂×M₁₆	C₂³×D₄	1	24	yes	—
947	C₂×M₁₆	C₂³×D₄	1	32	yes	—
948	C₂×M₁₆	C₂³×D₄	1	32	yes	—
949	C₂×M₁₆	C₂³×D₄	1	24	yes	—
950	C₂×M₁₆	C₂⁶	1	8	yes	—
951	C₂×M₁₆	C₂⁶	1	8	yes	—
952	C₂×M₁₆	C₂⁶	1	8	yes	—
953	C₂×M₁₆	C₂⁶	1	8	yes	—
954	C₂×M₁₆	C₂⁶	1	8	yes	—
955	C₂²×C₈	C₂³×D₄	1	24	yes	—
956	C₂²×C₈	C₂³×D₄	1	32	yes	—
957	C₂²×C₈	C₂³×D₄	1	24	yes	—
958	C₂²×C₈	C₂³×D₄	1	32	yes	—
959	C₂²×C₈	C₂⁶	1	8	yes	—
960	#117	C₂⁶	1	8	yes	—
961	#117	C₂⁶	1	8	yes	—
962	C₂⁴	#2403	1	1	yes	characteristic
963	C₂⁴	#2403	1	1	yes	characteristic
964	C₂⁴	#2403	1	1	yes	characteristic
965	C₂⁴	#2403	1	1	yes	characteristic
966	C₂⁴	#2403	1	6	yes	—
967	C₂⁴	#2403	1	6	yes	—
968	C₂⁴	#2403	1	6	yes	—
969	C₂⁴	#2403	1	6	yes	—
970	C₂⁴	#2403	1	6	yes	—
971	C₂⁴	#2403	1	6	yes	—
972	C₂⁴	#2403	1	24	yes	—
973	C₂⁴	C₂×#534	1	1	yes	characteristic
974	C₂⁴	C₂×#534	1	6	yes	—
975	C₂⁴	C₂×#534	1	3	yes	—
976	C₂⁴	C₂×#534	1	6	yes	—
977	C₂⁴	C₂×#534	1	12	yes	—
978	C₂⁴	C₂×D₄²	1	1	yes	characteristic
979	C₂⁴	C₂×D₄²	1	1	yes	characteristic
980	C₂⁴	C₂×D₄²	1	6	yes	—
981	C₂⁴	C₂×D₄²	1	3	yes	—
982	C₂⁴	C₂×D₄²	1	6	yes	—
983	C₂⁴	C₂×D₄²	1	3	yes	—
984	C₂⁴	C₂×D₄²	1	6	yes	—
985	C₂⁴	C₂×D₄²	1	6	yes	—
986	C₂⁴	C₂×D₄²	1	12	yes	—
987	C₂⁴	C₂×D₄²	1	12	yes	—
988	C₂⁴	C₂²×H(5,𝔽₂)	1	3	yes	—
989	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
990	#41	C₂²×#120	1	64	yes	—
991	#41	C₂²×#120	1	64	yes	—
992	#41	C₂²×#120	1	48	yes	—
993	#41	C₂²×#120	1	48	yes	—
994	#41	C₂²×#120	1	64	yes	—
995	#41	C₂²×#120	1	64	yes	—
996	#41	C₂²×#120	1	48	yes	—
997	#41	C₂²×#120	1	48	yes	—
998	#41	C₂⁴×D₄	1	16	yes	—
999	#41	C₂⁴×D₄	1	16	yes	—
1000	#41	C₂⁴×D₄	1	16	yes	—
1001	#41	C₂⁴×D₄	1	16	yes	—
1002	C₂×Q₈	C₂²×#120	1	24	yes	—
1003	C₂×Q₈	C₂²×#120	1	32	yes	—
1004	C₂×Q₈	C₂²×#120	1	24	yes	—
1005	C₂×Q₈	C₂²×#120	1	24	yes	—
1006	C₂×Q₈	C₂²×#120	1	32	yes	—
1007	C₂×Q₈	C₂²×#120	1	32	yes	—
1008	C₂×Q₈	C₂²×#120	1	24	yes	—
1009	C₂×Q₈	C₂²×#120	1	32	yes	—
1010	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1011	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1012	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1013	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1014	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1015	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1016	C₂×D₄	C₂²×#120	1	24	yes	—
1017	C₂×D₄	C₂²×#120	1	32	yes	—
1018	C₂×D₄	C₂²×#120	1	24	yes	—
1019	C₂×D₄	C₂²×#120	1	24	yes	—
1020	C₂×D₄	C₂²×#120	1	32	yes	—
1021	C₂×D₄	C₂²×#120	1	32	yes	—
1022	C₂×D₄	C₂²×#120	1	24	yes	—
1023	C₂×D₄	C₂²×#120	1	32	yes	—
1024	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1025	C₂×D₄	C₂⁴×D₄	1	16	yes	—
1026	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1027	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1028	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1029	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1030	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1031	C₂²×C₄	#2403	1	6	yes	—
1032	C₂²×C₄	#2403	1	6	yes	—
1033	C₂²×C₄	#2403	1	6	yes	—
1034	C₂²×C₄	#2403	1	6	yes	—
1035	C₂²×C₄	#2403	1	6	yes	—
1036	C₂²×C₄	#2403	1	6	yes	—
1037	C₂²×C₄	#2403	1	6	yes	—
1038	C₂²×C₄	#2403	1	24	yes	—
1039	C₂²×C₄	#2403	1	6	yes	—
1040	C₂²×C₄	#2403	1	6	yes	—
1041	C₂²×C₄	#2403	1	24	yes	—
1042	C₂²×C₄	#2403	1	6	yes	—
1043	C₂²×C₄	#2403	1	6	yes	—
1044	C₂²×C₄	#2403	1	6	yes	—
1045	C₂²×C₄	#2403	1	6	yes	—
1046	C₂²×C₄	#2403	1	6	yes	—
1047	C₂²×C₄	#2403	1	6	yes	—
1048	C₂²×C₄	#2403	1	6	yes	—
1049	C₂²×C₄	#2403	1	24	yes	—
1050	C₂²×C₄	#2403	1	6	yes	—
1051	C₂²×C₄	#2403	1	6	yes	—
1052	C₂²×C₄	#2403	1	6	yes	—
1053	C₂²×C₄	#2403	1	24	yes	—
1054	C₂²×C₄	#2403	1	24	yes	—
1055	C₂²×C₄	#2403	1	24	yes	—
1056	C₂²×C₄	#2403	1	6	yes	—
1057	C₂²×C₄	#2403	1	6	yes	—
1058	C₂²×C₄	#2403	1	24	yes	—
1059	C₂²×C₄	#2403	1	6	yes	—
1060	C₂²×C₄	#2403	1	24	yes	—
1061	C₂²×C₄	#2403	1	24	yes	—
1062	C₂²×C₄	#2403	1	24	yes	—
1063	C₂²×C₄	#2403	1	24	yes	—
1064	C₂²×C₄	#2403	1	24	yes	—
1065	C₂²×C₄	#2403	1	24	yes	—
1066	C₂²×C₄	#2403	1	1	yes	characteristic
1067	C₂²×C₄	#2403	1	1	yes	characteristic
1068	C₂²×C₄	#2403	1	1	yes	characteristic
1069	C₂²×C₄	#2403	1	1	yes	characteristic
1070	C₂²×C₄	C₂²×#120	1	6	yes	—
1071	C₂²×C₄	C₂²×#120	1	6	yes	—
1072	C₂²×C₄	C₂²×#120	1	6	yes	—
1073	C₂²×C₄	C₂²×#120	1	3	yes	—
1074	C₂²×C₄	C₂²×#120	1	6	yes	—
1075	C₂²×C₄	C₂²×#120	1	3	yes	—
1076	C₂²×C₄	C₂²×#120	1	3	yes	—
1077	C₂²×C₄	C₂²×#120	1	12	yes	—
1078	C₂²×C₄	C₂²×#120	1	3	yes	—
1079	C₂²×C₄	C₂²×#120	1	6	yes	—
1080	C₂²×C₄	C₂²×#120	1	6	yes	—
1081	C₂²×C₄	C₂²×#120	1	12	yes	—
1082	C₂²×C₄	C₂²×#120	1	12	yes	—
1083	C₂²×C₄	C₂²×#120	1	12	yes	—
1084	C₂²×C₄	C₂²×#120	1	6	yes	—
1085	C₂²×C₄	C₂²×#120	1	6	yes	—
1086	C₂²×C₄	C₂²×#120	1	3	yes	—
1087	C₂²×C₄	C₂²×#120	1	12	yes	—
1088	C₂²×C₄	C₂²×#120	1	3	yes	—
1089	C₂²×C₄	C₂²×#120	1	12	yes	—
1090	C₂²×C₄	C₂²×#120	1	12	yes	—
1091	C₂²×C₄	C₂²×#120	1	12	yes	—
1092	C₂²×C₄	C₂²×#120	1	6	yes	—
1093	C₂²×C₄	C₂²×#120	1	12	yes	—
1094	C₂²×C₄	C₂²×#120	1	12	yes	—
1095	C₂²×C₄	C₂²×#120	1	12	yes	—
1096	C₂²×C₄	C₂²×#120	1	12	yes	—
1097	C₂²×C₄	C₂²×#120	1	6	yes	—
1098	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1099	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1100	C₂²×C₄	C₂×#534	1	6	yes	—
1101	C₂²×C₄	C₂×#534	1	3	yes	—
1102	C₂²×C₄	C₂×#534	1	12	yes	—
1103	C₂²×C₄	C₂×#534	1	6	yes	—
1104	C₂²×C₄	C₂×#534	1	12	yes	—
1105	C₂²×C₄	C₂×#534	1	3	yes	—
1106	C₂²×C₄	C₂×#534	1	12	yes	—
1107	C₂²×C₄	C₂×#534	1	6	yes	—
1108	C₂²×C₄	C₂×#534	1	12	yes	—
1109	C₂²×C₄	C₂×#534	1	12	yes	—
1110	C₂²×C₄	C₂×D₄²	1	6	yes	—
1111	C₂²×C₄	C₂×D₄²	1	3	yes	—
1112	C₂²×C₄	C₂×D₄²	1	3	yes	—
1113	C₂²×C₄	C₂×D₄²	1	6	yes	—
1114	C₂²×C₄	C₂×D₄²	1	12	yes	—
1115	C₂²×C₄	C₂×D₄²	1	12	yes	—
1116	C₂²×C₄	C₂×D₄²	1	6	yes	—
1117	C₂²×C₄	C₂×D₄²	1	6	yes	—
1118	C₂²×C₄	C₂×D₄²	1	3	yes	—
1119	C₂²×C₄	C₂×D₄²	1	3	yes	—
1120	C₂²×C₄	C₂×D₄²	1	12	yes	—
1121	C₂²×C₄	C₂×D₄²	1	12	yes	—
1122	C₂²×C₄	C₂×D₄²	1	12	yes	—
1123	C₂²×C₄	C₂×D₄²	1	12	yes	—
1124	C₂²×C₄	C₂×D₄²	1	12	yes	—
1125	C₂²×C₄	C₂×D₄²	1	12	yes	—
1126	C₂²×C₄	C₂×D₄²	1	12	yes	—
1127	C₂²×C₄	C₂×D₄²	1	12	yes	—
1128	C₂²×C₄	C₂×D₄²	1	6	yes	—
1129	C₂²×C₄	C₂×D₄²	1	6	yes	—
1130	C₂²×C₄	C₂×D₄²	1	6	yes	—
1131	C₂²×C₄	C₂×D₄²	1	6	yes	—
1132	C₂²×C₄	C₂×D₄²	1	3	yes	—
1133	C₂²×C₄	C₂×D₄²	1	3	yes	—
1134	C₂²×C₄	C₂×D₄²	1	3	yes	—
1135	C₂²×C₄	C₂×D₄²	1	3	yes	—
1136	C₂²×C₄	C₂×D₄²	1	6	yes	—
1137	C₂²×C₄	C₂×D₄²	1	12	yes	—
1138	C₂²×C₄	C₂×D₄²	1	6	yes	—
1139	C₂²×C₄	C₂×D₄²	1	3	yes	—
1140	C₂²×C₄	C₂×D₄²	1	3	yes	—
1141	C₂²×C₄	C₂×D₄²	1	12	yes	—
1142	C₂²×C₄	C₂×D₄²	1	12	yes	—
1143	C₂²×C₄	C₂×D₄²	1	6	yes	—
1144	C₂²×C₄	C₂×D₄²	1	6	yes	—
1145	C₂²×C₄	C₂×D₄²	1	6	yes	—
1146	C₂²×C₄	C₂×D₄²	1	12	yes	—
1147	C₂²×C₄	C₂×D₄²	1	12	yes	—
1148	C₂²×C₄	C₂×D₄²	1	12	yes	—
1149	C₂²×C₄	C₂×D₄²	1	6	yes	—
1150	C₂²×C₄	C₂×D₄²	1	12	yes	—
1151	C₂²×C₄	C₂×D₄²	1	6	yes	—
1152	C₂²×C₄	C₂×D₄²	1	12	yes	—
1153	C₂²×C₄	C₂×D₄²	1	12	yes	—
1154	C₂²×C₄	C₂×D₄²	1	12	yes	—
1155	C₂²×C₄	C₂×D₄²	1	12	yes	—
1156	C₂²×C₄	C₂×D₄²	1	6	yes	—
1157	C₂²×C₄	C₂×D₄²	1	12	yes	—
1158	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1159	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1161	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1162	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1163	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1164	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1165	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1166	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1167	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1168	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1169	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1170	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1171	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1172	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1173	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1174	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1175	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1176	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1177	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1178	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1179	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1180	C₂²×C₄	C₂²×H(5,𝔽₂)	1	3	yes	—
1181	C₂²×C₄	C₂²×H(5,𝔽₂)	1	3	yes	—
1182	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1183	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1184	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1185	C₂²×C₄	C₂²×H(5,𝔽₂)	1	3	yes	—
1186	C₂²×C₄	C₂⁷	1	1	yes	characteristic
1187	M₁₆	C₂⁴×D₄	1	16	yes	—
1188	M₁₆	C₂⁴×D₄	1	16	yes	—
1189	C₂×C₈	C₂⁴×D₄	1	16	yes	—
1190	C₂×C₈	C₂⁴×D₄	1	16	yes	—
1191	C₂³	C₂×#2403	1	6	yes	—
1192	C₂³	C₂×#2403	1	3	yes	—
1193	C₂³	C₂×#2403	1	6	yes	—
1194	C₂³	C₂×#2403	1	3	yes	—
1195	C₂³	C₂×#2403	1	6	yes	—
1196	C₂³	C₂×#2403	1	3	yes	—
1197	C₂³	C₂×#2403	1	6	yes	—
1198	C₂³	C₂×#2403	1	12	yes	—
1199	C₂³	C₂×#2403	1	12	yes	—
1200	C₂³	C₂×#2403	1	12	yes	—
1201	C₂³	C₂×#2403	1	6	yes	—
1202	C₂³	C₂×#2403	1	12	yes	—
1203	C₂³	C₂×#2403	1	12	yes	—
1204	C₂³	C₂×#2403	1	12	yes	—
1205	C₂³	C₂×#2403	1	1	yes	characteristic
1206	C₂³	C₂²×#534	1	3	yes	—
1207	C₂³	C₂²×#534	1	4	yes	—
1208	C₂³	C₂²×#534	1	3	yes	—
1209	C₂³	C₂²×#534	1	4	yes	—
1210	C₂³	C₂²×D₄²	1	3	yes	—
1211	C₂³	C₂²×D₄²	1	3	yes	—
1212	C₂³	C₂²×D₄²	1	4	yes	—
1213	C₂³	C₂²×D₄²	1	3	yes	—
1214	C₂³	C₂²×D₄²	1	4	yes	—
1215	C₂³	C₂²×D₄²	1	3	yes	—
1216	C₂³	C₂²×D₄²	1	4	yes	—
1217	C₂³	C₂²×D₄²	1	4	yes	—
1218	C₂³	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1219	Q₈	C₂³×#120	1	16	yes	—
1220	Q₈	C₂³×#120	1	16	yes	—
1221	D₄	C₂³×#120	1	16	yes	—
1222	D₄	C₂³×#120	1	16	yes	—
1223	C₂×C₄	C₂×#2403	1	6	yes	—
1224	C₂×C₄	C₂×#2403	1	3	yes	—
1225	C₂×C₄	C₂×#2403	1	12	yes	—
1226	C₂×C₄	C₂×#2403	1	6	yes	—
1227	C₂×C₄	C₂×#2403	1	12	yes	—
1228	C₂×C₄	C₂×#2403	1	3	yes	—
1229	C₂×C₄	C₂×#2403	1	6	yes	—
1230	C₂×C₄	C₂×#2403	1	3	yes	—
1231	C₂×C₄	C₂×#2403	1	12	yes	—
1232	C₂×C₄	C₂×#2403	1	12	yes	—
1233	C₂×C₄	C₂×#2403	1	12	yes	—
1234	C₂×C₄	C₂×#2403	1	12	yes	—
1235	C₂×C₄	C₂×#2403	1	12	yes	—
1236	C₂×C₄	C₂×#2403	1	6	yes	—
1237	C₂×C₄	C₂×#2403	1	6	yes	—
1238	C₂×C₄	C₂×#2403	1	12	yes	—
1239	C₂×C₄	C₂×#2403	1	12	yes	—
1240	C₂×C₄	C₂×#2403	1	3	yes	—
1241	C₂×C₄	C₂×#2403	1	6	yes	—
1242	C₂×C₄	C₂×#2403	1	12	yes	—
1243	C₂×C₄	C₂×#2403	1	12	yes	—
1244	C₂×C₄	C₂×#2403	1	12	yes	—
1245	C₂×C₄	C₂×#2403	1	12	yes	—
1246	C₂×C₄	C₂×#2403	1	12	yes	—
1247	C₂×C₄	C₂×#2403	1	12	yes	—
1248	C₂×C₄	C₂×#2403	1	6	yes	—
1249	C₂×C₄	C₂×#2403	1	12	yes	—
1250	C₂×C₄	C₂×#2403	1	6	yes	—
1251	C₂×C₄	C₂×#2403	1	12	yes	—
1252	C₂×C₄	C₂×#2403	1	6	yes	—
1253	C₂×C₄	C₂×#2403	1	12	yes	—
1254	C₂×C₄	C₂×#2403	1	12	yes	—
1255	C₂×C₄	C₂×#2403	1	12	yes	—
1256	C₂×C₄	C₂×#2403	1	12	yes	—
1257	C₂×C₄	C₂×#2403	1	12	yes	—
1258	C₂×C₄	C₂×#2403	1	6	yes	—
1259	C₂×C₄	C₂³×#120	1	3	yes	—
1260	C₂×C₄	C₂³×#120	1	3	yes	—
1261	C₂×C₄	C₂³×#120	1	4	yes	—
1262	C₂×C₄	C₂³×#120	1	4	yes	—
1263	C₂×C₄	C₂³×#120	1	4	yes	—
1264	C₂×C₄	C₂³×#120	1	3	yes	—
1265	C₂×C₄	C₂³×#120	1	4	yes	—
1266	C₂×C₄	C₂³×#120	1	3	yes	—
1267	C₂×C₄	C₂³×#120	1	3	yes	—
1268	C₂×C₄	C₂³×#120	1	3	yes	—
1269	C₂×C₄	C₂³×#120	1	4	yes	—
1270	C₂×C₄	C₂³×#120	1	4	yes	—
1271	C₂×C₄	C₂³×#120	1	4	yes	—
1272	C₂×C₄	C₂³×#120	1	4	yes	—
1273	C₂×C₄	C₂³×#120	1	3	yes	—
1274	C₂×C₄	C₂³×#120	1	3	yes	—
1275	C₂×C₄	C₂²×#534	1	4	yes	—
1276	C₂×C₄	C₂²×#534	1	3	yes	—
1277	C₂×C₄	C₂²×#534	1	4	yes	—
1278	C₂×C₄	C₂²×#534	1	3	yes	—
1279	C₂×C₄	C₂²×D₄²	1	4	yes	—
1280	C₂×C₄	C₂²×D₄²	1	3	yes	—
1281	C₂×C₄	C₂²×D₄²	1	3	yes	—
1282	C₂×C₄	C₂²×D₄²	1	4	yes	—
1283	C₂×C₄	C₂²×D₄²	1	4	yes	—
1284	C₂×C₄	C₂²×D₄²	1	4	yes	—
1285	C₂×C₄	C₂²×D₄²	1	3	yes	—
1286	C₂×C₄	C₂²×D₄²	1	3	yes	—
1287	C₂×C₄	C₂²×D₄²	1	3	yes	—
1288	C₂×C₄	C₂²×D₄²	1	4	yes	—
1289	C₂×C₄	C₂²×D₄²	1	4	yes	—
1290	C₂×C₄	C₂²×D₄²	1	3	yes	—
1291	C₂×C₄	C₂²×D₄²	1	3	yes	—
1292	C₂×C₄	C₂²×D₄²	1	3	yes	—
1293	C₂×C₄	C₂²×D₄²	1	3	yes	—
1294	C₂×C₄	C₂²×D₄²	1	3	yes	—
1295	C₂×C₄	C₂²×D₄²	1	4	yes	—
1296	C₂×C₄	C₂²×D₄²	1	3	yes	—
1297	C₂×C₄	C₂²×D₄²	1	3	yes	—
1298	C₂×C₄	C₂²×D₄²	1	4	yes	—
1299	C₂×C₄	C₂²×D₄²	1	4	yes	—
1300	C₂×C₄	C₂²×D₄²	1	4	yes	—
1301	C₂×C₄	C₂²×D₄²	1	4	yes	—
1302	C₂×C₄	C₂²×D₄²	1	4	yes	—
1303	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1305	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1306	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1307	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1308	C₂×C₄	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1309	C₂²	#6437593	1	4	yes	direct product factor
1310	C₂²	C₂²×#2403	1	4	yes	—
1311	C₂²	C₂²×#2403	1	3	yes	—
1312	C₂²	C₂²×#2403	1	4	yes	—
1313	C₂²	C₂²×#2403	1	3	yes	—
1314	C₂²	C₂²×#2403	1	4	yes	—
1315	C₂²	C₂²×#2403	1	3	yes	—
1316	C₂²	C₂²×#2403	1	4	yes	—
1317	C₂²	C₂²×#2403	1	3	yes	—
1318	C₂²	C₂³×#534	1	1	yes	characteristic
1319	C₂²	C₂³×D₄²	1	1	yes	characteristic
1320	C₂²	C₂³×D₄²	1	1	yes	characteristic
1321	C₄	C₂²×#2403	1	4	yes	—
1322	C₄	C₂²×#2403	1	3	yes	—
1323	C₄	C₂²×#2403	1	4	yes	—
1324	C₄	C₂²×#2403	1	4	yes	—
1325	C₄	C₂²×#2403	1	3	yes	—
1326	C₄	C₂²×#2403	1	3	yes	—
1327	C₄	C₂²×#2403	1	4	yes	—
1328	C₄	C₂²×#2403	1	3	yes	—
1329	C₄	C₂⁴×#120	1	1	yes	characteristic
1330	C₄	C₂⁴×#120	1	1	yes	characteristic
1331	C₄	C₂³×D₄²	1	1	yes	characteristic
1332	C₄	C₂³×D₄²	1	1	yes	characteristic
1333	C₂	C₂³×#2403	1	1	yes	characteristic
1334	C₂	C₂×#6437593	1	6	yes	direct product factor

	subgroup	G/H
center, socle	C₂³	C₂×#2403
commutator, Frattini, cosocle	C₂²×C₄	C₂⁷
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂⁵×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#23892	C₂	semidirect
2. C₂²×#23894	C₂	semidirect
3. C₂²×#23434	C₂	semidirect
4. C₂²×#20939	C₂	semidirect
5. C₂²×#20939	C₂	semidirect
6. C₂²×#20995	C₂	semidirect
7. C₂²×#23439	C₂	semidirect
8. C₂³×#1903	C₂	semidirect
9. C₂²×#60369	C₂	semidirect
10. C₂²×#23412	C₂	semidirect
11. C₂²×#60387	C₂	semidirect
12. C₂²×#20620	C₂	semidirect
13. C₂²×#63090	C₂	semidirect
14. C₂²×#60367	C₂	semidirect
15. C₂³×#3019	C₂	semidirect
16. C₂³×#2008	C₂	semidirect
17. C₂³×#3585	C₂	semidirect
18. C₂×#6437593	C₂	direct (N × H)
20. C₂³×#585	C₂²	semidirect
21. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
22. C₂×#63090	C₂²	semidirect
23. C₂²×#3586	C₂²	semidirect
24. C₂²×#3585	C₂²	semidirect
25. C₂²×#3585	C₂²	semidirect
26. C₂²×#3585	C₂²	semidirect
30. C₂³×#575	C₂²	semidirect
31. C₂³×#575	C₂²	semidirect
32. C₂³×#575	C₂²	semidirect
33. C₂³×#575	C₂²	semidirect
35. C₂⁴×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂⁴×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂³×#568	C₂²	semidirect
38. C₂³×#568	C₂²	semidirect
39. C₂²×#3449	C₂²	semidirect
40. C₂³×#535	C₂²	semidirect
41. C₂²×#3009	C₂²	semidirect
42. C₂×#60369	C₂²	semidirect
43. C₂×#60367	C₂²	semidirect
44. C₂×#60387	C₂²	semidirect
45. C₂²×#3010	C₂²	semidirect
46. C₂²×#3008	C₂²	semidirect
47. C₂²×#3008	C₂²	semidirect
48. C₂²×#3020	C₂²	semidirect
49. C₂²×#3019	C₂²	semidirect
50. C₂²×#3019	C₂²	semidirect
51. C₂²×#3019	C₂²	semidirect
52. C₂²×#2879	C₂²	semidirect
53. C₂²×#2879	C₂²	semidirect
54. C₂²×#2879	C₂²	semidirect
55. C₂³×#410	C₂²	semidirect
56. C₂²×#2896	C₂²	semidirect
57. C₂²×#2896	C₂²	semidirect
58. C₂²×#2896	C₂²	semidirect
59. C₂³×#413	C₂²	semidirect
60. C₂³×#421	C₂²	semidirect
61. C₂³×#421	C₂²	semidirect
62. C₂³×#421	C₂²	semidirect
63. C₂³×#421	C₂²	semidirect
64. C₂³×#418	C₂²	semidirect
65. C₂⁴×#100	C₂²	semidirect
66. #6437593	C₂²	direct (N × H)
67. C₂×#23894	C₂²	semidirect
68. C₂×#23892	C₂²	semidirect
69. C₂×#23439	C₂²	semidirect
70. C₂²×#2019	C₂²	semidirect
71. C₂²×#2018	C₂²	semidirect
72. C₂×#23434	C₂²	semidirect
73. C₂²×#2017	C₂²	semidirect
74. C₂×#23412	C₂²	semidirect
75. C₂²×#2009	C₂²	semidirect
76. C₂²×#2008	C₂²	semidirect
77. C₂²×#2008	C₂²	semidirect
78. C₂²×#2008	C₂²	semidirect
79. C₂×#20995	C₂²	semidirect
80. C₂²×#1903	C₂²	semidirect
81. C₂²×#1903	C₂²	semidirect
82. C₂²×#1903	C₂²	semidirect
83. C₂²×#1902	C₂²	semidirect
84. C₂×#20939	C₂²	semidirect
85. C₂×#20939	C₂²	semidirect
86. C₂²×#1881	C₂²	semidirect
87. C₂²×#1881	C₂²	semidirect
88. C₂×#20620	C₂²	semidirect
89. C₂²×#1794	C₂²	semidirect
90. C₂³×#344	C₂²	semidirect
91. C₂³×#344	C₂²	semidirect
92. C₂²×#1738	C₂²	semidirect
93. C₂³×#338	C₂²	semidirect
94. C₂²×#585	D₄	semidirect
95. C₂²×#585	D₄	semidirect
98. C₂²×#585	C₂³	semidirect
99. C₂³×2₋¹⁺⁴	D₄	semidirect
100. C₂³×2₋¹⁺⁴	C₂³	semidirect
101. C₂³×H(5,𝔽₂)	D₄	semidirect
103. C₂³×H(5,𝔽₂)	C₂³	semidirect
104. C₂³×H(5,𝔽₂)	C₂³	semidirect
112. #63090	C₂³	semidirect
113. C₂×#3586	C₂³	semidirect
114. C₂×#3585	C₂³	semidirect
115. C₂×#3585	C₂³	semidirect
116. C₂×#3585	C₂³	semidirect
117. C₂²×#575	D₄	semidirect
118. C₂²×#575	D₄	semidirect
119. C₂²×#575	D₄	semidirect
120. C₂²×#575	D₄	semidirect
121. C₂²×#575	D₄	semidirect
128. C₂²×#575	C₂³	semidirect
129. C₂²×#575	C₂³	semidirect
130. C₂²×#575	C₂³	semidirect
131. C₂²×#575	C₂³	semidirect
132. C₂²×#575	C₂³	semidirect
133. C₂²×#575	C₂³	semidirect
134. C₂³×#137	D₄	semidirect
135. C₂³×#137	D₄	semidirect
136. C₂³×#137	D₄	semidirect
138. C₂³×#137	C₂³	semidirect
139. C₂³×AGL(1,ℤ/8)	D₄	semidirect
140. C₂³×AGL(1,ℤ/8)	D₄	semidirect
141. C₂³×AGL(1,ℤ/8)	D₄	semidirect
142. C₂³×AGL(1,ℤ/8)	D₄	semidirect
143. C₂³×AGL(1,ℤ/8)	D₄	semidirect
148. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
149. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
150. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
151. C₂³×#135	D₄	semidirect
152. C₂⁴×SD₁₆	D₄	semidirect
153. C₂⁴×SD₁₆	C₂³	semidirect
154. C₂⁴×D₈	D₄	semidirect
155. C₂⁴×D₈	C₂³	semidirect
157. C₂²×#568	C₂³	semidirect
158. C₂²×#568	C₂³	semidirect
159. C₂²×#568	C₂³	semidirect
166. C₂×#3449	C₂³	semidirect
167. C₂²×#536	C₂³	semidirect
168. C₂²×#535	C₂³	semidirect
169. C₂²×#535	C₂³	semidirect
170. C₂²×#535	C₂³	semidirect
173. #60387	C₂³	semidirect
174. C₂×#3020	C₂³	semidirect
175. C₂×#3019	C₂³	semidirect
176. C₂×#3019	C₂³	semidirect
177. C₂×#3019	C₂³	semidirect
178. #60369	C₂³	semidirect
179. #60367	C₂³	semidirect
180. C₂×#3010	C₂³	semidirect
181. C₂×#3009	C₂³	semidirect
182. C₂×#3008	C₂³	semidirect
183. C₂×#3008	C₂³	semidirect
185. C₂²×#421	C₂³	semidirect
186. C₂²×#421	C₂³	semidirect
187. C₂²×#421	C₂³	semidirect
188. C₂²×#421	C₂³	semidirect
189. C₂²×#421	C₂³	semidirect
190. C₂²×#421	C₂³	semidirect
191. C₂²×#421	C₂³	semidirect
192. C₂×#2896	C₂³	semidirect
193. C₂×#2896	C₂³	semidirect
194. C₂×#2896	C₂³	semidirect
195. C₂²×#419	C₂³	semidirect
196. C₂²×#418	C₂³	semidirect
197. C₂²×#418	C₂³	semidirect
198. C₂²×#418	C₂³	semidirect
200. C₂²×#416	C₂³	semidirect
201. C₂²×#413	C₂³	semidirect
202. C₂³×#101	C₂³	semidirect
203. C₂³×#100	C₂³	semidirect
204. C₂³×#100	C₂³	semidirect
205. C₂³×#100	C₂³	semidirect
206. C₂²×#410	C₂³	semidirect
207. C₂²×#410	C₂³	semidirect
208. C₂×#2879	C₂³	semidirect
209. C₂×#2879	C₂³	semidirect
210. C₂×#2879	C₂³	semidirect
211. C₂²×#408	C₂³	semidirect
212. C₂²×#408	C₂³	semidirect
213. C₂²×#408	C₂³	semidirect
214. #23894	C₂³	semidirect
215. #23892	C₂³	semidirect
216. #23439	C₂³	semidirect
217. C₂×#2019	C₂³	semidirect
218. C₂×#2018	C₂³	semidirect
219. #23434	C₂³	semidirect
220. C₂×#2017	C₂³	semidirect
221. #23412	C₂³	semidirect
222. C₂×#2009	C₂³	semidirect
223. C₂×#2008	C₂³	semidirect
224. C₂×#2008	C₂³	semidirect
225. C₂×#2008	C₂³	semidirect
226. #20995	C₂³	semidirect
227. C₂×#1903	C₂³	semidirect
228. C₂×#1903	C₂³	semidirect
229. C₂×#1903	C₂³	semidirect
230. C₂×#1902	C₂³	semidirect
231. #20939	C₂³	semidirect
232. #20939	C₂³	semidirect
233. C₂×#1881	C₂³	semidirect
234. C₂×#1881	C₂³	semidirect
235. #20620	C₂³	semidirect
236. C₂×#1794	C₂³	semidirect
237. C₂²×#344	C₂³	semidirect
238. C₂²×#344	C₂³	semidirect
239. C₂²×#344	C₂³	semidirect
240. C₂²×#344	C₂³	semidirect
241. C₂×#1738	C₂³	semidirect
242. C₂²×#341	C₂³	semidirect
243. C₂²×#338	C₂³	semidirect
244. C₂²×#338	C₂³	semidirect
245. C₂×#585	C₂×D₄	semidirect
246. C₂×#585	C₂×D₄	semidirect
247. C₂×#585	C₂×D₄	semidirect
250. C₂×#585	C₂⁴	semidirect
251. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
252. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
253. C₂²×2₋¹⁺⁴	C₂⁴	semidirect
254. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
255. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
257. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
258. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
313. #3586	C₂⁴	semidirect
314. #3585	C₂⁴	semidirect
315. #3585	C₂⁴	semidirect
317. C₂×#575	C₂×D₄	semidirect
318. C₂×#575	C₂×D₄	semidirect
319. C₂×#575	C₂×D₄	semidirect
320. C₂×#575	C₂×D₄	semidirect
321. C₂×#575	C₂×D₄	semidirect
322. C₂×#575	C₂×D₄	semidirect
329. C₂×#575	C₂⁴	semidirect
330. C₂×#575	C₂⁴	semidirect
331. C₂×#575	C₂⁴	semidirect
332. C₂×#575	C₂⁴	semidirect
333. C₂×#575	C₂⁴	semidirect
334. C₂×#575	C₂⁴	semidirect
336. C₂²×#137	C₂×D₄	semidirect
337. C₂²×#137	C₂×D₄	semidirect
338. C₂²×#137	C₂×D₄	semidirect
339. C₂²×#137	C₂×D₄	semidirect
340. C₂²×#137	C₂×D₄	semidirect
342. C₂²×#137	C₂⁴	semidirect
345. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
346. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
347. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
348. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
349. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
350. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
351. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
356. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
357. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
358. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
359. C₂²×#135	C₂×D₄	semidirect
360. C₂³×Q₁₆	C₂×D₄	semidirect
362. C₂³×SD₁₆	C₂×D₄	semidirect
363. C₂³×SD₁₆	C₂×D₄	semidirect
364. C₂³×SD₁₆	C₂×D₄	semidirect
365. C₂³×SD₁₆	C₂⁴	semidirect
367. C₂³×D₈	C₂×D₄	semidirect
368. C₂³×D₈	C₂×D₄	semidirect
369. C₂³×D₈	C₂⁴	semidirect
371. C₂×#568	C₂⁴	semidirect
372. C₂×#568	C₂⁴	semidirect
373. C₂×#568	C₂⁴	semidirect
398. #3449	C₂⁴	semidirect
399. C₂×#536	C₂⁴	semidirect
400. C₂×#535	C₂⁴	semidirect
401. C₂×#535	C₂⁴	semidirect
402. C₂×#535	C₂⁴	semidirect
407. #3020	C₂⁴	semidirect
408. #3019	C₂⁴	semidirect
409. #3019	C₂⁴	semidirect
410. #3010	C₂⁴	semidirect
411. #3009	C₂⁴	semidirect
412. #3008	C₂⁴	semidirect
413. #3008	C₂⁴	semidirect
415. C₂×#421	C₂⁴	semidirect
416. C₂×#421	C₂⁴	semidirect
417. C₂×#421	C₂⁴	semidirect
418. C₂×#421	C₂⁴	semidirect
419. C₂×#421	C₂⁴	semidirect
420. C₂×#421	C₂⁴	semidirect
421. C₂×#421	C₂⁴	semidirect
422. #2896	C₂⁴	semidirect
423. #2896	C₂⁴	semidirect
424. #2896	C₂⁴	semidirect
425. C₂×#419	C₂⁴	semidirect
426. C₂×#418	C₂⁴	semidirect
427. C₂×#418	C₂⁴	semidirect
428. C₂×#418	C₂⁴	semidirect
430. C₂×#416	C₂⁴	semidirect
431. C₂×#413	C₂⁴	semidirect
432. C₂²×#101	C₂⁴	semidirect
433. C₂²×#100	C₂⁴	semidirect
434. C₂²×#100	C₂⁴	semidirect
435. C₂²×#100	C₂⁴	semidirect
436. C₂×#410	C₂⁴	semidirect
437. C₂×#410	C₂⁴	semidirect
438. #2879	C₂⁴	semidirect
439. #2879	C₂⁴	semidirect
440. #2879	C₂⁴	semidirect
441. C₂×#408	C₂⁴	semidirect
442. C₂×#408	C₂⁴	semidirect
443. C₂×#408	C₂⁴	semidirect
444. #2019	C₂⁴	semidirect
445. #2018	C₂⁴	semidirect
446. #2017	C₂⁴	semidirect
447. #2009	C₂⁴	semidirect
448. #2008	C₂⁴	semidirect
449. #2008	C₂⁴	semidirect
450. #1903	C₂⁴	semidirect
451. #1903	C₂⁴	semidirect
452. #1902	C₂⁴	semidirect
453. #1881	C₂⁴	semidirect
454. #1881	C₂⁴	semidirect
455. #1794	C₂⁴	semidirect
456. C₂×#344	C₂⁴	semidirect
457. C₂×#344	C₂⁴	semidirect
458. C₂×#344	C₂⁴	semidirect
459. C₂×#344	C₂⁴	semidirect
460. #1738	C₂⁴	semidirect
461. C₂×#341	C₂⁴	semidirect
462. C₂×#338	C₂⁴	semidirect
463. C₂×#338	C₂⁴	semidirect
465. #585	C₂²×D₄	semidirect
466. #585	C₂²×D₄	semidirect
468. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
469. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
470. C₂×2₋¹⁺⁴	C₂⁵	semidirect
471. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
472. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
474. C₂×H(5,𝔽₂)	C₂⁵	semidirect
608. #575	C₂²×D₄	semidirect
609. #575	C₂²×D₄	semidirect
610. #575	C₂²×D₄	semidirect
614. #575	C₂⁵	semidirect
615. #575	C₂⁵	semidirect
617. C₂×#137	C₂²×D₄	semidirect
618. C₂×#137	C₂²×D₄	semidirect
619. C₂×#137	C₂²×D₄	semidirect
620. C₂×#137	C₂²×D₄	semidirect
621. C₂×#137	C₂²×D₄	semidirect
623. C₂×#137	C₂⁵	semidirect
626. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
627. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
628. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
629. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
630. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
631. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
635. C₂×AGL(1,ℤ/8)	C₂⁵	semidirect
636. C₂×#135	C₂²×D₄	semidirect
637. C₂²×Q₁₆	C₂²×D₄	semidirect
639. C₂²×SD₁₆	C₂²×D₄	semidirect
640. C₂²×SD₁₆	C₂²×D₄	semidirect
641. C₂²×SD₁₆	C₂²×D₄	semidirect
642. C₂²×SD₁₆	C₂⁵	semidirect
644. C₂²×D₈	C₂²×D₄	semidirect
645. C₂²×D₈	C₂²×D₄	semidirect
646. C₂²×D₈	C₂⁵	semidirect
648. #568	C₂⁵	semidirect
681. #536	C₂⁵	semidirect
682. #535	C₂⁵	semidirect
683. #535	C₂⁵	semidirect
689. #421	C₂⁵	semidirect
690. #421	C₂⁵	semidirect
691. #421	C₂⁵	semidirect
692. #419	C₂⁵	semidirect
693. #418	C₂⁵	semidirect
694. #418	C₂⁵	semidirect
696. #416	C₂⁵	semidirect
697. C₂×#101	C₂⁵	semidirect
698. C₂×#100	C₂⁵	semidirect
699. C₂×#100	C₂⁵	semidirect
700. #410	C₂⁵	semidirect
701. #408	C₂⁵	semidirect
702. #408	C₂⁵	semidirect
703. #408	C₂⁵	semidirect
704. #344	C₂⁵	semidirect
705. #344	C₂⁵	semidirect
706. #341	C₂⁵	semidirect
707. #338	C₂⁵	semidirect
719. 2₋¹⁺⁴	C₂³×D₄	semidirect
720. H(5,𝔽₂)	C₂³×D₄	semidirect
929. #137	C₂³×D₄	semidirect
931. AGL(1,ℤ/8)	C₂³×D₄	semidirect
932. C₂×Q₁₆	C₂³×D₄	semidirect
934. C₂×SD₁₆	C₂³×D₄	semidirect
935. C₂×SD₁₆	C₂³×D₄	semidirect
937. C₂×D₈	C₂³×D₄	semidirect
1309. C₂²	#6437593	direct (N × H)
1334. C₂	C₂×#6437593	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#23892	2
C₂²×#23894	2
C₂²×#23434	2
C₂²×#20939	2
C₂²×#20995	2
C₂²×#23439	2
C₂³×#1903	2
C₂²×#60369	2
C₂²×#23412	2
C₂²×#60387	2
C₂²×#20620	2
C₂²×#63090	2
C₂²×#60367	2
C₂³×#3019	2
C₂³×#2008	2
C₂³×#3585	2
C₂×#6437593	2

Subgroups — C22×#6437593 #72315041

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#6437593 #72315041