Subgroups — C₂×#72241161 #72340784

Order 2048.

Only the 8264 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1340 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×#392714	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#359685	C₂	1	2	yes	maximal, complemented
3	C₂×#392703	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#393907	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#359548	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#394043	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#394054	C₂	1	2	yes	maximal, complemented
8	C₂×#394127	C₂	1	2	yes	maximal, complemented
9	C₂×#6437480	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#6437610	C₂	1	2	yes	maximal, complemented
11	C₂×#359619	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#394032	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#392140	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#6437578	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#10574846	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10586999	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#359681	C₂	1	2	yes	maximal, complemented
18	C₂×#394131	C₂	1	2	yes	maximal, complemented
19	C₂×#394133	C₂	1	2	yes	maximal, complemented
20	C₂×#6628883	C₂	1	1	yes	maximal, characteristic, complemented
21	#72241161	C₂	1	32	yes	maximal, direct product factor
22	C₂×#6437593	C₂	1	2	yes	maximal, complemented
23	C₂×#6628872	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#394022	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#63103	C₂²	1	1	yes	characteristic
26	C₂²×H(7,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
27	#10586999	C₂²	1	16	yes	complemented
28	C₂×#63090	C₂²	1	1	yes	characteristic
29	C₂×#63090	C₂²	1	2	yes	—
30	C₂×#63090	C₂²	1	2	yes	complemented
31	C₂×#63090	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#3585	C₂²	1	1	yes	characteristic
33	C₂²×#3585	C₂²	1	2	yes	—
34	C₂²×#3585	C₂²	1	2	yes	complemented
35	C₂²×#3585	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#3585	C₂²	1	2	yes	complemented
37	C₂×#63076	C₂²	1	1	yes	characteristic, complemented
38	C₂×#62852	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60398	C₂²	1	1	yes	characteristic, complemented
40	#10574846	C₂²	1	16	yes	complemented
41	C₂×#60369	C₂²	1	2	yes	complemented
42	C₂×#60367	C₂²	1	2	yes	complemented
43	C₂×#60367	C₂²	1	2	yes	complemented
44	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
45	C₂×#60387	C₂²	1	1	yes	characteristic
46	C₂×#60387	C₂²	1	2	yes	complemented
47	C₂×#60387	C₂²	1	2	yes	complemented
48	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#3021	C₂²	1	1	yes	characteristic
50	C₂²×#3021	C₂²	1	2	yes	complemented
51	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
54	C₂³×#453	C₂²	1	2	yes	complemented
55	C₂³×#453	C₂²	1	1	yes	characteristic, complemented
56	C₂×#60076	C₂²	1	1	yes	characteristic, complemented
57	C₂×#60093	C₂²	1	2	yes	complemented
58	C₂×#35527	C₂²	1	1	yes	characteristic, complemented
59	#6628883	C₂²	1	16	yes	complemented
60	#6628872	C₂²	1	16	yes	complemented
61	#6437610	C₂²	1	32	yes	complemented
62	#6437593	C₂²	1	32	yes	complemented
63	#6437578	C₂²	1	16	yes	complemented
64	#6437480	C₂²	1	16	yes	complemented
65	C₂×#23439	C₂²	1	2	yes	complemented
66	C₂×#23439	C₂²	1	2	yes	complemented
67	C₂×#23439	C₂²	1	2	yes	complemented
68	C₂×#23434	C₂²	1	2	yes	complemented
69	C₂×#23430	C₂²	1	2	yes	complemented
70	C₂×#23414	C₂²	1	2	yes	complemented
71	C₂×#23412	C₂²	1	2	yes	complemented
72	C₂²×#2008	C₂²	1	2	yes	complemented
73	C₂²×#2008	C₂²	1	2	yes	complemented
74	C₂×#23407	C₂²	1	1	yes	characteristic, complemented
75	C₂×#23406	C₂²	1	1	yes	characteristic, complemented
76	C₂×#23406	C₂²	1	2	yes	complemented
77	C₂×#23402	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#2002	C₂²	1	1	yes	characteristic, complemented
79	C₂²×#1910	C₂²	1	1	yes	characteristic, complemented
80	C₂×#21005	C₂²	1	2	yes	complemented
81	C₂×#21005	C₂²	1	2	yes	complemented
82	C₂×#20998	C₂²	1	2	yes	complemented
83	C₂×#20995	C₂²	1	2	yes	complemented
84	C₂²×#1903	C₂²	1	2	yes	complemented
85	C₂×#20990	C₂²	1	1	yes	characteristic, complemented
86	C₂×#20964	C₂²	1	1	yes	characteristic, complemented
87	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
88	C₂×#20942	C₂²	1	1	yes	characteristic, complemented
89	C₂×#20939	C₂²	1	2	yes	complemented
90	C₂×#20939	C₂²	1	2	yes	complemented
91	C₂×#20918	C₂²	1	2	yes	complemented
92	C₂×#20918	C₂²	1	2	yes	complemented
93	C₂×#20903	C₂²	1	1	yes	characteristic, complemented
94	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
95	C₂×#20623	C₂²	1	2	yes	complemented
96	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
97	C₂²×#1795	C₂²	1	2	yes	complemented
98	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
99	C₂×#20620	C₂²	1	2	yes	complemented
100	C₂×#20620	C₂²	1	2	yes	complemented
101	C₂×#20616	C₂²	1	2	yes	complemented
102	C₂×#20615	C₂²	1	1	yes	characteristic, complemented
103	C₂×#20615	C₂²	1	1	yes	characteristic, complemented
104	C₂×#20615	C₂²	1	2	yes	complemented
105	C₂×#20612	C₂²	1	1	yes	characteristic, complemented
106	C₂×#20612	C₂²	1	1	yes	characteristic, complemented
107	C₂×#20608	C₂²	1	1	yes	characteristic, complemented
108	C₂×#20606	C₂²	1	1	yes	characteristic, complemented
109	C₂×#20606	C₂²	1	2	yes	complemented
110	C₂×#20606	C₂²	1	2	yes	complemented
111	C₂×#20592	C₂²	1	1	yes	characteristic, complemented
112	#394133	C₂²	1	32	yes	complemented
113	#394131	C₂²	1	32	yes	complemented
114	#394127	C₂²	1	32	yes	complemented
115	#394054	C₂²	1	32	yes	complemented
116	#394043	C₂²	1	16	yes	complemented
117	#394032	C₂²	1	16	yes	complemented
118	#394022	C₂²	1	16	yes	complemented
119	#393907	C₂²	1	16	yes	complemented
120	#392714	C₂²	1	16	yes	complemented
121	#392703	C₂²	1	16	yes	complemented
122	#392140	C₂²	1	16	yes	complemented
123	#359685	C₂²	1	32	yes	complemented
124	#359681	C₂²	1	32	yes	complemented
125	#359619	C₂²	1	16	yes	complemented
126	#359548	C₂²	1	16	yes	complemented
127	C₂×#11037	C₂²	1	2	yes	complemented
128	C₂×#11037	C₂²	1	2	yes	complemented
129	C₂×#11034	C₂²	1	2	yes	complemented
130	C₂×#11033	C₂²	1	2	yes	complemented
131	C₂×#11032	C₂²	1	2	yes	complemented
132	C₂×#11032	C₂²	1	2	yes	complemented
133	C₂×#11032	C₂²	1	2	yes	complemented
134	C₂×#11019	C₂²	1	2	yes	complemented
135	C₂×#11014	C₂²	1	2	yes	complemented
136	C₂×#11012	C₂²	1	2	yes	complemented
137	C₂×#11041	C₂²	1	2	yes	complemented
138	C₂×#11039	C₂²	1	2	yes	complemented
139	C₂×#10787	C₂²	1	2	yes	complemented
140	C₂×#10780	C₂²	1	2	yes	complemented
141	C₂×#10746	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10744	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10794	C₂²	1	2	yes	complemented
144	C₂×#10778	C₂²	1	2	yes	complemented
145	C₂×#10771	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10767	C₂²	1	1	yes	characteristic, complemented
147	#63103	D₄	1	8	yes	complemented
148	#63103	C₂³	1	8	yes	—
149	C₂×2₋¹⁺⁶	D₄	1	4	yes	complemented
150	C₂×H(7,𝔽₂)	D₄	1	4	yes	complemented
151	C₂×H(7,𝔽₂)	C₂³	1	8	yes	complemented
152	C₂²×#585	C₂³	1	1	yes	characteristic
153	C₂²×#585	C₂³	1	1	yes	characteristic
154	C₂²×#585	C₂³	1	2	yes	—
155	C₂²×#585	C₂³	1	2	yes	—
156	C₂²×#585	C₂³	1	2	yes	—
157	C₂²×#585	C₂³	1	1	yes	characteristic
158	C₂²×#585	C₂³	1	1	yes	characteristic
159	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
160	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
161	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic, complemented
162	#63090	D₄	1	8	yes	complemented
163	#63090	D₄	1	16	yes	complemented
164	#63090	C₂³	1	16	yes	—
165	#63090	C₂³	1	8	yes	—
166	#63090	C₂³	1	8	yes	complemented
167	#63090	C₂³	1	16	yes	complemented
168	C₂×#3586	D₄	1	4	yes	complemented
169	C₂×#3586	D₄	1	8	yes	complemented
170	C₂×#3585	D₄	1	4	yes	complemented
171	C₂×#3585	D₄	1	8	yes	complemented
172	C₂×#3585	D₄	1	8	yes	complemented
173	C₂×#3585	D₄	1	16	yes	complemented
174	C₂×#3585	C₂³	1	8	yes	—
175	C₂×#3585	C₂³	1	16	yes	—
176	C₂×#3585	C₂³	1	8	yes	complemented
177	C₂×#3585	C₂³	1	16	yes	complemented
178	C₂×#3585	C₂³	1	16	yes	complemented
179	C₂²×#577	D₄	1	8	yes	complemented
180	C₂²×#576	D₄	1	8	yes	complemented
181	C₂²×#575	D₄	1	4	yes	complemented
182	C₂²×#575	C₂³	1	2	yes	—
183	C₂²×#575	C₂³	1	1	yes	characteristic
184	C₂²×#575	C₂³	1	2	yes	—
185	C₂²×#575	C₂³	1	1	yes	characteristic
186	C₂²×#575	C₂³	1	2	yes	—
187	C₂²×#575	C₂³	1	2	yes	—
188	C₂²×#575	C₂³	1	2	yes	—
189	C₂²×#575	C₂³	1	2	yes	—
190	C₂²×#575	C₂³	1	1	yes	characteristic, complemented
191	C₂²×#575	C₂³	1	2	yes	complemented
192	C₂³×AGL(1,ℤ/8)	D₄	1	4	yes	complemented
193	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
194	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
195	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
196	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
197	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	complemented
198	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	complemented
199	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic, complemented
200	#63076	C₂³	1	8	yes	complemented
201	C₂²×#568	C₂³	1	1	yes	characteristic
202	C₂²×#568	C₂³	1	2	yes	—
203	C₂²×#568	C₂³	1	1	yes	characteristic
204	C₂²×#568	C₂³	1	2	yes	—
205	C₂²×#568	C₂³	1	2	yes	complemented
206	#62852	C₂³	1	8	yes	complemented
207	C₂×#3449	C₂³	1	1	yes	characteristic
208	C₂×#3449	C₂³	1	2	yes	complemented
209	C₂×#3449	C₂³	1	1	yes	characteristic, complemented
210	C₂²×#535	C₂³	1	1	yes	characteristic
211	C₂²×#535	C₂³	1	1	yes	characteristic, complemented
212	C₂²×#535	C₂³	1	1	yes	characteristic, complemented
213	C₂³×#127	C₂³	1	1	yes	characteristic, complemented
214	C₂×#3428	C₂³	1	1	yes	characteristic, complemented
215	#60398	C₂³	1	8	yes	complemented
216	#60387	D₄	1	8	yes	complemented
217	#60387	C₂³	1	8	yes	—
218	#60387	C₂³	1	8	yes	complemented
219	#60387	C₂³	1	16	yes	complemented
220	#60387	C₂³	1	16	yes	complemented
221	C₂×#3022	D₄	1	4	yes	complemented
222	C₂×#3021	D₄	1	8	yes	complemented
223	C₂×#3021	D₄	1	4	yes	complemented
224	C₂×#3021	C₂³	1	8	yes	—
225	C₂×#3021	C₂³	1	8	yes	complemented
226	C₂×#3021	C₂³	1	8	yes	complemented
227	C₂×#3021	C₂³	1	16	yes	complemented
228	C₂×#3019	C₂³	1	8	yes	complemented
229	C₂²×#454	D₄	1	4	yes	complemented
230	C₂²×#453	D₄	1	4	yes	complemented
231	C₂²×#453	C₂³	1	16	yes	complemented
232	C₂²×#453	C₂³	1	8	yes	complemented
233	#60369	C₂³	1	16	yes	complemented
234	#60367	C₂³	1	8	yes	complemented
235	#60367	C₂³	1	16	yes	complemented
236	#60367	C₂³	1	16	yes	complemented
237	#60093	C₂³	1	16	yes	complemented
238	C₂²×#421	C₂³	1	2	yes	—
239	C₂²×#421	C₂³	1	2	yes	—
240	C₂²×#421	C₂³	1	2	yes	—
241	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
242	C₂²×#421	C₂³	1	2	yes	complemented
243	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
244	C₂²×#421	C₂³	1	2	yes	complemented
245	C₂²×#421	C₂³	1	2	yes	complemented
246	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
247	C₂²×#421	C₂³	1	2	yes	complemented
248	C₂²×#421	C₂³	1	2	yes	complemented
249	C₂³×#104	C₂³	1	2	yes	—
250	C₂³×#104	C₂³	1	1	yes	characteristic, complemented
251	C₂³×#104	C₂³	1	1	yes	characteristic, complemented
252	C₂³×#104	C₂³	1	2	yes	complemented
253	C₂³×#104	C₂³	1	1	yes	characteristic, complemented
254	C₂×#2896	C₂³	1	2	yes	—
255	C₂×#2896	C₂³	1	2	yes	—
256	C₂×#2896	C₂³	1	2	yes	complemented
257	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
258	C₂×#2896	C₂³	1	2	yes	complemented
259	C₂²×#418	C₂³	1	2	yes	complemented
260	C₂²×#418	C₂³	1	2	yes	complemented
261	C₂²×#418	C₂³	1	1	yes	characteristic, complemented
262	#60076	C₂³	1	8	yes	complemented
263	C₂²×#413	C₂³	1	1	yes	characteristic
264	C₂²×#413	C₂³	1	1	yes	characteristic
265	C₂²×#413	C₂³	1	1	yes	characteristic
266	C₂²×#413	C₂³	1	2	yes	complemented
267	C₂²×#413	C₂³	1	2	yes	complemented
268	C₂²×#413	C₂³	1	2	yes	complemented
269	C₂³×#100	C₂³	1	1	yes	characteristic, complemented
270	C₂³×#100	C₂³	1	1	yes	characteristic, complemented
271	C₂³×#100	C₂³	1	2	yes	complemented
272	C₂²×#410	C₂³	1	1	yes	characteristic
273	C₂²×#410	C₂³	1	2	yes	complemented
274	C₂²×#410	C₂³	1	2	yes	complemented
275	C₂×#2879	C₂³	1	1	yes	characteristic
276	C₂×#2879	C₂³	1	2	yes	complemented
277	C₂×#2879	C₂³	1	2	yes	complemented
278	C₂×#2879	C₂³	1	2	yes	complemented
279	C₂×#2879	C₂³	1	2	yes	complemented
280	#35527	C₂³	1	8	yes	complemented
281	C₂×#2309	C₂³	1	1	yes	characteristic, complemented
282	C₂×#2297	C₂³	1	1	yes	characteristic
283	C₂×#2297	C₂³	1	2	yes	complemented
284	C₂×#2297	C₂³	1	1	yes	characteristic, complemented
285	#23439	C₂³	1	16	yes	complemented
286	#23439	C₂³	1	16	yes	complemented
287	#23439	C₂³	1	16	yes	complemented
288	#23434	C₂³	1	16	yes	complemented
289	#23430	C₂³	1	16	yes	complemented
290	#23414	C₂³	1	16	yes	complemented
291	#23412	C₂³	1	16	yes	complemented
292	C₂×#2008	C₂³	1	16	yes	complemented
293	C₂×#2008	C₂³	1	16	yes	complemented
294	#23407	C₂³	1	8	yes	complemented
295	#23406	C₂³	1	16	yes	complemented
296	#23406	C₂³	1	8	yes	complemented
297	#23402	C₂³	1	8	yes	complemented
298	C₂×#2002	C₂³	1	8	yes	complemented
299	C₂×#1910	C₂³	1	8	yes	complemented
300	#21005	C₂³	1	16	yes	complemented
301	#21005	C₂³	1	16	yes	complemented
302	#20998	C₂³	1	16	yes	complemented
303	#20995	C₂³	1	16	yes	complemented
304	C₂×#1903	C₂³	1	16	yes	complemented
305	#20990	C₂³	1	8	yes	complemented
306	#20964	C₂³	1	8	yes	complemented
307	#20945	C₂³	1	8	yes	complemented
308	#20942	C₂³	1	8	yes	complemented
309	#20939	C₂³	1	16	yes	complemented
310	#20939	C₂³	1	16	yes	complemented
311	#20918	C₂³	1	16	yes	complemented
312	#20918	C₂³	1	16	yes	complemented
313	#20903	C₂³	1	8	yes	complemented
314	#20623	C₂³	1	8	yes	complemented
315	#20623	C₂³	1	16	yes	complemented
316	C₂×#1795	C₂³	1	8	yes	complemented
317	C₂×#1795	C₂³	1	16	yes	complemented
318	#20620	C₂³	1	8	yes	complemented
319	#20620	C₂³	1	16	yes	complemented
320	#20620	C₂³	1	16	yes	complemented
321	#20616	C₂³	1	16	yes	complemented
322	#20615	C₂³	1	8	yes	complemented
323	#20615	C₂³	1	8	yes	complemented
324	#20615	C₂³	1	16	yes	complemented
325	#20612	C₂³	1	8	yes	complemented
326	#20612	C₂³	1	8	yes	complemented
327	#20608	C₂³	1	8	yes	complemented
328	#20606	C₂³	1	8	yes	complemented
329	#20606	C₂³	1	16	yes	complemented
330	#20606	C₂³	1	16	yes	complemented
331	#20592	C₂³	1	8	yes	complemented
332	C₂²×#344	C₂³	1	2	yes	complemented
333	C₂²×#344	C₂³	1	2	yes	complemented
334	C₂²×#344	C₂³	1	2	yes	complemented
335	C₂×#1742	C₂³	1	2	yes	complemented
336	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
337	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
338	C₂×#1738	C₂³	1	2	yes	complemented
339	C₂×#1738	C₂³	1	2	yes	complemented
340	C₂×#1738	C₂³	1	2	yes	complemented
341	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
342	C₂²×#339	C₂³	1	1	yes	characteristic, complemented
343	C₂²×#338	C₂³	1	2	yes	complemented
344	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	complemented
345	C₂×#1728	C₂³	1	2	yes	complemented
346	#11041	C₂³	1	16	yes	complemented
347	#11039	C₂³	1	16	yes	complemented
348	#11037	C₂³	1	16	yes	complemented
349	#11037	C₂³	1	16	yes	complemented
350	#11034	C₂³	1	16	yes	complemented
351	#11033	C₂³	1	16	yes	complemented
352	#11032	C₂³	1	16	yes	complemented
353	#11032	C₂³	1	16	yes	complemented
354	#11032	C₂³	1	16	yes	complemented
355	#11019	C₂³	1	16	yes	complemented
356	#11014	C₂³	1	16	yes	complemented
357	#11012	C₂³	1	16	yes	complemented
358	#10794	C₂³	1	16	yes	complemented
359	#10787	C₂³	1	16	yes	complemented
360	#10780	C₂³	1	16	yes	complemented
361	#10778	C₂³	1	16	yes	complemented
362	#10771	C₂³	1	8	yes	complemented
363	#10767	C₂³	1	8	yes	complemented
364	#10746	C₂³	1	8	yes	complemented
365	#10744	C₂³	1	8	yes	complemented
366	2₋¹⁺⁶	C₂×D₄	1	32	yes	complemented
367	H(7,𝔽₂)	C₂×D₄	1	32	yes	complemented
368	C₂×#585	C₂×D₄	1	4	yes	—
369	C₂×#585	C₂×D₄	1	4	yes	—
370	C₂×#585	C₂×D₄	1	4	yes	—
371	C₂×#585	C₂×D₄	1	4	yes	—
372	C₂×#585	C₂×D₄	1	4	yes	—
373	C₂×#585	C₂×D₄	1	4	yes	—
374	C₂×#585	C₂×D₄	1	4	yes	—
375	C₂×#585	C₂×D₄	1	8	yes	—
376	C₂×#585	C₂×D₄	1	8	yes	—
377	C₂×#585	C₂×D₄	1	8	yes	—
378	C₂×#585	C₂×D₄	1	8	yes	—
379	C₂×#585	C₂×D₄	1	8	yes	—
380	C₂×#585	C₂×D₄	1	4	yes	—
381	C₂×#585	C₂×D₄	1	8	yes	—
382	C₂×#585	C₂×D₄	1	4	yes	—
383	C₂×#585	C₂×D₄	1	4	yes	—
384	C₂×#585	C₂×D₄	1	4	yes	—
385	C₂×#585	C₂×D₄	1	4	yes	—
386	C₂×#585	C₂×D₄	1	8	yes	complemented
387	C₂×#585	C₂⁴	1	4	yes	—
388	C₂×#585	C₂⁴	1	8	yes	—
389	C₂×#585	C₂⁴	1	4	yes	—
390	C₂×#585	C₂⁴	1	8	yes	—
391	C₂×#585	C₂⁴	1	8	yes	—
392	C₂×#585	C₂⁴	1	4	yes	—
393	C₂×#585	C₂⁴	1	4	yes	—
394	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
395	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
396	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
397	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	—
398	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	—
399	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	complemented
400	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
401	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
402	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
403	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
404	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
405	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
406	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	complemented
407	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	complemented
408	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	complemented
409	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
410	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
411	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	complemented
412	C₂³×#41	C₂×D₄	1	4	yes	—
413	C₂³×#41	C₂×D₄	1	2	yes	—
414	C₂³×#41	C₂⁴	1	1	yes	characteristic
415	C₂³×#41	C₂⁴	1	1	yes	characteristic
416	C₂³×#41	C₂⁴	1	2	yes	—
417	C₂³×#41	C₂⁴	1	1	yes	characteristic
418	C₂³×#41	C₂⁴	1	2	yes	—
419	C₂³×#41	C₂⁴	1	1	yes	characteristic
420	C₂³×#41	C₂⁴	1	1	yes	characteristic
421	C₂³×#41	C₂⁴	1	2	yes	—
422	C₂⁴×D₄	C₂×D₄	1	2	yes	—
423	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
424	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
425	#3586	C₂×D₄	1	32	yes	complemented
426	#3586	C₂×D₄	1	64	yes	complemented
427	#3585	C₂×D₄	1	32	yes	complemented
428	#3585	C₂×D₄	1	64	yes	complemented
429	C₂×#577	C₂×D₄	1	64	yes	complemented
430	C₂×#576	C₂×D₄	1	64	yes	complemented
431	C₂×#575	C₂×D₄	1	8	yes	—
432	C₂×#575	C₂×D₄	1	8	yes	—
433	C₂×#575	C₂×D₄	1	8	yes	—
434	C₂×#575	C₂×D₄	1	8	yes	—
435	C₂×#575	C₂×D₄	1	8	yes	—
436	C₂×#575	C₂×D₄	1	4	yes	—
437	C₂×#575	C₂×D₄	1	4	yes	—
438	C₂×#575	C₂×D₄	1	8	yes	—
439	C₂×#575	C₂×D₄	1	8	yes	—
440	C₂×#575	C₂×D₄	1	8	yes	—
441	C₂×#575	C₂×D₄	1	32	yes	complemented
442	C₂×#575	C₂×D₄	1	8	yes	complemented
443	C₂×#575	C₂×D₄	1	8	yes	complemented
444	C₂×#575	C₂×D₄	1	8	yes	complemented
445	C₂×#575	C₂×D₄	1	8	yes	complemented
446	C₂×#575	C₂⁴	1	8	yes	—
447	C₂×#575	C₂⁴	1	4	yes	—
448	C₂×#575	C₂⁴	1	4	yes	—
449	C₂×#575	C₂⁴	1	8	yes	—
450	C₂×#575	C₂⁴	1	8	yes	—
451	C₂×#575	C₂⁴	1	8	yes	—
452	C₂×#575	C₂⁴	1	8	yes	—
453	C₂×#575	C₂⁴	1	8	yes	—
454	C₂×#575	C₂⁴	1	8	yes	complemented
455	C₂×#575	C₂⁴	1	4	yes	complemented
456	C₂²×#137	C₂×D₄	1	4	yes	—
457	C₂²×#137	C₂×D₄	1	4	yes	—
458	C₂²×#137	C₂×D₄	1	2	yes	—
459	C₂²×#137	C₂×D₄	1	2	yes	—
460	C₂²×#137	C₂×D₄	1	4	yes	—
461	C₂²×#137	C₂×D₄	1	4	yes	complemented
462	C₂²×#137	C₂×D₄	1	4	yes	complemented
463	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
464	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
465	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
466	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
467	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
468	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
469	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
470	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
471	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
472	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
473	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
474	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
475	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
476	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
477	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	32	yes	complemented
478	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
479	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
480	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
481	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
482	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
483	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
484	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	complemented
485	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	complemented
486	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	complemented
487	C₂²×#135	C₂×D₄	1	8	yes	—
488	C₂³×SD₁₆	C₂×D₄	1	4	yes	complemented
489	C₂³×D₈	C₂×D₄	1	4	yes	complemented
490	C₂×#568	C₂×D₄	1	4	yes	—
491	C₂×#568	C₂×D₄	1	4	yes	—
492	C₂×#568	C₂×D₄	1	4	yes	—
493	C₂×#568	C₂×D₄	1	8	yes	complemented
494	C₂×#568	C₂×D₄	1	8	yes	complemented
495	C₂×#568	C₂×D₄	1	8	yes	complemented
496	C₂×#568	C₂⁴	1	4	yes	—
497	C₂×#568	C₂⁴	1	8	yes	—
498	C₂×#568	C₂⁴	1	4	yes	—
499	C₂×#568	C₂⁴	1	8	yes	—
500	C₂×#568	C₂⁴	1	8	yes	complemented
501	C₂²×#131	C₂×D₄	1	8	yes	complemented
502	C₂³×M₁₆	C₂×D₄	1	4	yes	—
503	C₂³×M₁₆	C₂⁴	1	2	yes	—
504	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
505	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
506	C₂³×M₁₆	C₂⁴	1	2	yes	—
507	C₂³×M₁₆	C₂⁴	1	2	yes	—
508	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
509	C₂³×M₁₆	C₂⁴	1	2	yes	—
510	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
511	#3449	C₂×D₄	1	4	yes	—
512	#3449	C₂⁴	1	4	yes	—
513	#3449	C₂⁴	1	4	yes	complemented
514	#3449	C₂⁴	1	8	yes	complemented
515	C₂×#536	C₂×D₄	1	2	yes	—
516	C₂×#535	C₂×D₄	1	4	yes	—
517	C₂×#535	C₂×D₄	1	2	yes	—
518	C₂×#535	C₂⁴	1	4	yes	—
519	C₂×#535	C₂⁴	1	4	yes	complemented
520	C₂×#535	C₂⁴	1	4	yes	complemented
521	C₂²×#127	C₂×D₄	1	2	yes	—
522	C₂²×#127	C₂⁴	1	4	yes	complemented
523	C₂²×#124	C₂×D₄	1	2	yes	—
524	#3428	C₂⁴	1	4	yes	complemented
525	C₂²×#117	C₂⁴	1	1	yes	characteristic
526	C₂²×#117	C₂⁴	1	1	yes	characteristic
527	C₂²×#117	C₂⁴	1	2	yes	—
528	C₂²×#117	C₂⁴	1	1	yes	characteristic
529	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
530	#3022	C₂×D₄	1	32	yes	complemented
531	#3021	C₂×D₄	1	32	yes	complemented
532	C₂×#454	C₂×D₄	1	32	yes	complemented
533	C₂×#453	C₂×D₄	1	32	yes	complemented
534	C₂×#421	C₂×D₄	1	8	yes	—
535	C₂×#421	C₂×D₄	1	8	yes	—
536	C₂×#421	C₂×D₄	1	8	yes	—
537	C₂×#421	C₂⁴	1	8	yes	—
538	C₂×#421	C₂⁴	1	8	yes	—
539	C₂×#421	C₂⁴	1	8	yes	—
540	C₂×#421	C₂⁴	1	4	yes	complemented
541	C₂×#421	C₂⁴	1	8	yes	complemented
542	C₂×#421	C₂⁴	1	8	yes	complemented
543	C₂×#421	C₂⁴	1	8	yes	complemented
544	C₂×#421	C₂⁴	1	8	yes	complemented
545	C₂×#421	C₂⁴	1	8	yes	complemented
546	C₂×#421	C₂⁴	1	4	yes	complemented
547	C₂×#421	C₂⁴	1	4	yes	complemented
548	C₂²×#104	C₂×D₄	1	8	yes	—
549	C₂²×#104	C₂⁴	1	8	yes	—
550	C₂²×#104	C₂⁴	1	8	yes	complemented
551	C₂²×#104	C₂⁴	1	4	yes	complemented
552	C₂²×#104	C₂⁴	1	4	yes	complemented
553	C₂²×#104	C₂⁴	1	4	yes	complemented
554	#2896	C₂⁴	1	8	yes	—
555	#2896	C₂⁴	1	8	yes	—
556	#2896	C₂⁴	1	8	yes	complemented
557	#2896	C₂⁴	1	8	yes	complemented
558	#2896	C₂⁴	1	4	yes	complemented
559	C₂×#418	C₂⁴	1	8	yes	complemented
560	C₂×#418	C₂⁴	1	8	yes	complemented
561	C₂×#418	C₂⁴	1	4	yes	complemented
562	C₂×#413	C₂×D₄	1	4	yes	—
563	C₂×#413	C₂×D₄	1	4	yes	—
564	C₂×#413	C₂×D₄	1	4	yes	—
565	C₂×#413	C₂⁴	1	4	yes	—
566	C₂×#413	C₂⁴	1	4	yes	—
567	C₂×#413	C₂⁴	1	4	yes	—
568	C₂×#413	C₂⁴	1	8	yes	complemented
569	C₂×#413	C₂⁴	1	8	yes	complemented
570	C₂×#413	C₂⁴	1	8	yes	complemented
571	C₂²×#101	C₂×D₄	1	2	yes	—
572	C₂²×#100	C₂×D₄	1	2	yes	—
573	C₂²×#100	C₂⁴	1	4	yes	complemented
574	C₂²×#100	C₂⁴	1	8	yes	complemented
575	C₂²×#100	C₂⁴	1	4	yes	complemented
576	C₂×#410	C₂⁴	1	4	yes	—
577	C₂×#410	C₂⁴	1	8	yes	complemented
578	C₂×#410	C₂⁴	1	8	yes	complemented
579	#2879	C₂⁴	1	4	yes	—
580	#2879	C₂⁴	1	8	yes	complemented
581	#2879	C₂⁴	1	8	yes	complemented
582	#2879	C₂⁴	1	8	yes	complemented
583	#2879	C₂⁴	1	8	yes	complemented
584	#2309	C₂⁴	1	4	yes	complemented
585	#2297	C₂⁴	1	4	yes	—
586	#2297	C₂⁴	1	8	yes	complemented
587	#2297	C₂⁴	1	4	yes	complemented
588	C₂×#344	C₂⁴	1	8	yes	complemented
589	C₂×#344	C₂⁴	1	8	yes	complemented
590	C₂×#344	C₂⁴	1	8	yes	complemented
591	#1742	C₂⁴	1	8	yes	complemented
592	#1742	C₂⁴	1	4	yes	complemented
593	#1742	C₂⁴	1	4	yes	complemented
594	#1738	C₂⁴	1	8	yes	complemented
595	#1738	C₂⁴	1	8	yes	complemented
596	#1738	C₂⁴	1	8	yes	complemented
597	#1733	C₂⁴	1	4	yes	complemented
598	C₂×#339	C₂⁴	1	4	yes	complemented
599	C₂×#338	C₂⁴	1	8	yes	complemented
600	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	complemented
601	#1728	C₂⁴	1	8	yes	complemented
602	#585	#120	1	16	yes	—
603	#585	#120	1	16	yes	—
604	#585	#120	1	32	yes	complemented
605	#585	#120	1	32	yes	complemented
606	#585	C₂²×D₄	1	16	yes	—
607	#585	C₂²×D₄	1	16	yes	—
608	#585	C₂²×D₄	1	16	yes	—
609	#585	C₂²×D₄	1	16	yes	—
610	#585	C₂²×D₄	1	32	yes	—
611	#585	C₂²×D₄	1	32	yes	—
612	C₂×2₋¹⁺⁴	#120	1	8	yes	—
613	C₂×2₋¹⁺⁴	#120	1	8	yes	—
614	C₂×2₋¹⁺⁴	#120	1	8	yes	—
615	C₂×2₋¹⁺⁴	#120	1	8	yes	—
616	C₂×2₋¹⁺⁴	#120	1	16	yes	complemented
617	C₂×2₋¹⁺⁴	#120	1	16	yes	complemented
618	C₂×2₋¹⁺⁴	C₂²×D₄	1	8	yes	—
619	C₂×2₋¹⁺⁴	C₂²×D₄	1	8	yes	—
620	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	—
621	C₂×2₋¹⁺⁴	C₂²×D₄	1	8	yes	—
622	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	—
623	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	complemented
624	C₂×H(5,𝔽₂)	#120	1	8	yes	—
625	C₂×H(5,𝔽₂)	#120	1	8	yes	—
626	C₂×H(5,𝔽₂)	#120	1	8	yes	—
627	C₂×H(5,𝔽₂)	#120	1	8	yes	—
628	C₂×H(5,𝔽₂)	#120	1	16	yes	complemented
629	C₂×H(5,𝔽₂)	#120	1	16	yes	complemented
630	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
631	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
632	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	—
633	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
634	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	—
635	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	complemented
636	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	complemented
637	C₂²×#41	#120	1	4	yes	—
638	C₂²×#41	#120	1	4	yes	—
639	C₂²×#41	#120	1	16	yes	—
640	C₂²×#41	C₂²×D₄	1	2	yes	—
641	C₂²×#41	C₂²×D₄	1	2	yes	—
642	C₂²×#41	C₂²×D₄	1	2	yes	—
643	C₂²×#41	C₂²×D₄	1	2	yes	—
644	C₂²×#41	C₂²×D₄	1	2	yes	—
645	C₂²×#41	C₂²×D₄	1	2	yes	—
646	C₂²×#41	C₂²×D₄	1	2	yes	—
647	C₂²×#41	C₂²×D₄	1	2	yes	—
648	C₂²×#41	C₂²×D₄	1	2	yes	—
649	C₂²×#41	C₂²×D₄	1	2	yes	—
650	C₂²×#41	C₂²×D₄	1	4	yes	—
651	C₂²×#41	C₂²×D₄	1	2	yes	—
652	C₂²×#41	C₂²×D₄	1	4	yes	—
653	C₂²×#41	C₂²×D₄	1	2	yes	—
654	C₂²×#41	C₂²×D₄	1	4	yes	—
655	C₂²×#41	C₂²×D₄	1	4	yes	—
656	C₂²×#41	C₂²×D₄	1	2	yes	—
657	C₂²×#41	C₂²×D₄	1	16	yes	—
658	C₂²×#41	C₂²×D₄	1	4	yes	—
659	C₂²×#41	C₂²×D₄	1	2	yes	—
660	C₂²×#41	C₂²×D₄	1	4	yes	—
661	C₂²×#41	C₂²×D₄	1	4	yes	—
662	C₂²×#41	C₂²×D₄	1	4	yes	—
663	C₂²×#41	C₂²×D₄	1	4	yes	—
664	C₂²×#41	C₂²×D₄	1	2	yes	—
665	C₂²×#41	C₂²×D₄	1	4	yes	—
666	C₂²×#41	C₂²×D₄	1	4	yes	—
667	C₂²×#41	C₂²×D₄	1	4	yes	—
668	C₂²×#41	C₂²×D₄	1	2	yes	—
669	C₂²×#41	C₂²×D₄	1	4	yes	—
670	C₂²×#41	C₂²×D₄	1	4	yes	—
671	C₂²×#41	C₂²×D₄	1	4	yes	—
672	C₂²×#41	C₂²×D₄	1	4	yes	—
673	C₂²×#41	C₂²×D₄	1	4	yes	—
674	C₂²×#41	C₂²×D₄	1	4	yes	—
675	C₂²×#41	C₂²×D₄	1	4	yes	—
676	C₂²×#41	C₂²×D₄	1	4	yes	—
677	C₂²×#41	C₂²×D₄	1	4	yes	—
678	C₂²×#41	C₂²×D₄	1	4	yes	—
679	C₂²×#41	C₂²×D₄	1	4	yes	—
680	C₂²×#41	C₂²×D₄	1	4	yes	—
681	C₂²×#41	C₂²×D₄	1	8	yes	—
682	C₂²×#41	C₂²×D₄	1	2	yes	—
683	C₂²×#41	C₂²×D₄	1	2	yes	—
684	C₂²×#41	C₂²×D₄	1	2	yes	—
685	C₂²×#41	C₂²×D₄	1	4	yes	—
686	C₂²×#41	C₂²×D₄	1	4	yes	—
687	C₂²×#41	C₂²×D₄	1	2	yes	—
688	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
689	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
690	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
691	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
692	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
693	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
694	C₂²×#41	C₂⁵	1	2	yes	—
695	C₂²×#41	C₂⁵	1	2	yes	—
696	C₂²×#41	C₂⁵	1	2	yes	—
697	C₂²×#41	C₂⁵	1	4	yes	—
698	C₂²×#41	C₂⁵	1	4	yes	—
699	C₂²×#41	C₂⁵	1	2	yes	—
700	C₂²×#41	C₂⁵	1	2	yes	—
701	C₂²×#41	C₂⁵	1	4	yes	—
702	C₂³×Q₈	#120	1	4	yes	—
703	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
704	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
705	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
706	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
707	C₂³×Q₈	C₂²×D₄	1	2	yes	—
708	C₂³×Q₈	C₂²×D₄	1	2	yes	—
709	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
710	C₂³×Q₈	H(5,𝔽₂)	1	2	yes	—
711	C₂³×D₄	#120	1	4	yes	—
712	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
713	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
714	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
715	C₂³×D₄	C₂²×D₄	1	2	yes	—
716	C₂³×D₄	C₂²×D₄	1	2	yes	—
717	C₂³×D₄	C₂²×D₄	1	4	yes	—
718	C₂³×D₄	C₂²×D₄	1	4	yes	—
719	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
720	C₂³×D₄	C₂²×D₄	1	2	yes	—
721	C₂³×D₄	C₂²×D₄	1	2	yes	—
722	C₂³×D₄	C₂²×D₄	1	8	yes	—
723	C₂³×D₄	C₂²×D₄	1	2	yes	—
724	C₂³×D₄	C₂²×D₄	1	2	yes	—
725	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
726	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
727	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
728	C₂³×D₄	C₂⁵	1	2	yes	—
729	C₂³×D₄	C₂⁵	1	2	yes	—
730	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
731	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
732	#575	#120	1	32	yes	—
733	#575	C₂²×D₄	1	32	yes	—
734	#575	C₂²×D₄	1	32	yes	—
735	#575	C₂²×D₄	1	32	yes	complemented
736	C₂×#137	#120	1	8	yes	—
737	C₂×#137	#120	1	8	yes	—
738	C₂×#137	#120	1	16	yes	complemented
739	C₂×#137	#120	1	16	yes	complemented
740	C₂×#137	C₂²×D₄	1	16	yes	—
741	C₂×#137	C₂²×D₄	1	16	yes	—
742	C₂×#137	C₂²×D₄	1	8	yes	—
743	C₂×#137	C₂²×D₄	1	16	yes	—
744	C₂×#137	C₂²×D₄	1	8	yes	—
745	C₂×#137	C₂²×D₄	1	16	yes	complemented
746	C₂×#137	C₂²×D₄	1	16	yes	complemented
747	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
748	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
749	C₂×AGL(1,ℤ/8)	#120	1	32	yes	—
750	C₂×AGL(1,ℤ/8)	#120	1	8	yes	—
751	C₂×AGL(1,ℤ/8)	#120	1	8	yes	—
752	C₂×AGL(1,ℤ/8)	#120	1	16	yes	complemented
753	C₂×AGL(1,ℤ/8)	#120	1	16	yes	complemented
754	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
755	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
756	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
757	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
758	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	8	yes	—
759	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
760	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
761	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
762	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	8	yes	—
763	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	complemented
764	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	complemented
765	C₂×#135	#120	1	32	yes	complemented
766	C₂×#135	C₂²×D₄	1	32	yes	—
767	C₂²×Q₁₆	#120	1	8	yes	complemented
768	C₂²×SD₁₆	#120	1	8	yes	complemented
769	C₂²×SD₁₆	#120	1	8	yes	complemented
770	C₂²×SD₁₆	C₂²×D₄	1	16	yes	complemented
771	C₂²×D₈	#120	1	8	yes	complemented
772	C₂²×D₈	C₂²×D₄	1	16	yes	complemented
773	#568	C₂²×D₄	1	16	yes	—
774	#568	C₂²×D₄	1	32	yes	complemented
775	C₂×#131	C₂²×D₄	1	32	yes	complemented
776	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
777	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
778	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
779	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
780	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
781	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
782	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
783	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
784	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
785	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
786	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
787	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
788	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
789	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
790	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
791	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
792	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
793	C₂²×M₁₆	C₂²×D₄	1	16	yes	—
794	C₂²×M₁₆	C₂⁵	1	4	yes	—
795	C₂²×M₁₆	C₂⁵	1	2	yes	—
796	C₂²×M₁₆	C₂⁵	1	2	yes	—
797	C₂²×M₁₆	C₂⁵	1	4	yes	—
798	C₂²×M₁₆	C₂⁵	1	4	yes	—
799	C₂²×M₁₆	C₂⁵	1	2	yes	—
800	C₂²×M₁₆	C₂⁵	1	2	yes	—
801	C₂²×M₁₆	C₂⁵	1	4	yes	—
802	C₂³×C₈	C₂²×D₄	1	4	yes	—
803	#536	C₂²×D₄	1	8	yes	—
804	#535	C₂²×D₄	1	8	yes	—
805	C₂×#127	C₂²×D₄	1	8	yes	—
806	C₂×#124	C₂²×D₄	1	8	yes	—
807	C₂×#117	C₂²×D₄	1	2	yes	—
808	C₂×#117	C₂²×D₄	1	2	yes	—
809	C₂×#117	C₂²×D₄	1	2	yes	—
810	C₂×#117	C₂⁵	1	2	yes	—
811	C₂×#117	C₂⁵	1	2	yes	—
812	C₂×#117	C₂⁵	1	2	yes	—
813	C₂×#117	C₂⁵	1	4	yes	—
814	C₂²×C₄²	C₂²×D₄	1	2	yes	—
815	C₂²×C₄²	C₂⁵	1	2	yes	—
816	#421	C₂²×D₄	1	32	yes	—
817	C₂×#104	C₂²×D₄	1	32	yes	—
818	#413	C₂²×D₄	1	16	yes	—
819	C₂×#101	C₂²×D₄	1	8	yes	—
820	C₂×#100	C₂²×D₄	1	8	yes	—
821	C₂⁵	D₄²	1	2	yes	—
822	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
823	2₋¹⁺⁴	C₂×#120	1	32	yes	—
824	2₋¹⁺⁴	C₂×#120	1	64	yes	complemented
825	H(5,𝔽₂)	C₂×#120	1	32	yes	—
826	H(5,𝔽₂)	C₂×#120	1	64	yes	complemented
827	C₂×#41	C₂×#120	1	4	yes	—
828	C₂×#41	C₂×#120	1	4	yes	—
829	C₂×#41	C₂×#120	1	4	yes	—
830	C₂×#41	C₂×#120	1	4	yes	—
831	C₂×#41	C₂×#120	1	4	yes	—
832	C₂×#41	C₂×#120	1	4	yes	—
833	C₂×#41	C₂×#120	1	8	yes	—
834	C₂×#41	C₂×#120	1	4	yes	—
835	C₂×#41	C₂×#120	1	4	yes	—
836	C₂×#41	C₂×#120	1	8	yes	—
837	C₂×#41	C₂×#120	1	8	yes	—
838	C₂×#41	C₂×#120	1	8	yes	—
839	C₂×#41	C₂×#120	1	8	yes	—
840	C₂×#41	C₂×#120	1	8	yes	—
841	C₂×#41	C₂×#120	1	8	yes	—
842	C₂×#41	C₂×#120	1	8	yes	—
843	C₂×#41	C₂×#120	1	8	yes	—
844	C₂×#41	C₂×#120	1	8	yes	—
845	C₂×#41	C₂×#120	1	8	yes	—
846	C₂×#41	C₂×#120	1	8	yes	—
847	C₂×#41	C₂×#120	1	8	yes	—
848	C₂×#41	C₂×#120	1	8	yes	—
849	C₂×#41	C₂×#120	1	8	yes	—
850	C₂×#41	C₂×#120	1	8	yes	—
851	C₂×#41	C₂×#120	1	8	yes	—
852	C₂×#41	C₂×#120	1	4	yes	—
853	C₂×#41	C₂×#120	1	16	yes	—
854	C₂×#41	C₂×#120	1	16	yes	—
855	C₂×#41	C₂×#120	1	4	yes	—
856	C₂×#41	C₂×#120	1	8	yes	—
857	C₂×#41	C₂×#120	1	8	yes	—
858	C₂×#41	C₂×#120	1	8	yes	—
859	C₂×#41	C₂×#120	1	8	yes	—
860	C₂×#41	C₂×#120	1	4	yes	—
861	C₂×#41	C₂×#120	1	4	yes	—
862	C₂×#41	#534	1	4	yes	—
863	C₂×#41	#534	1	4	yes	—
864	C₂×#41	#534	1	8	yes	—
865	C₂×#41	#534	1	8	yes	—
866	C₂×#41	D₄²	1	4	yes	—
867	C₂×#41	D₄²	1	4	yes	—
868	C₂×#41	D₄²	1	4	yes	—
869	C₂×#41	D₄²	1	4	yes	—
870	C₂×#41	D₄²	1	4	yes	—
871	C₂×#41	D₄²	1	4	yes	—
872	C₂×#41	D₄²	1	8	yes	—
873	C₂×#41	D₄²	1	8	yes	—
874	C₂×#41	D₄²	1	8	yes	—
875	C₂×#41	D₄²	1	8	yes	—
876	C₂×#41	D₄²	1	8	yes	—
877	C₂×#41	D₄²	1	8	yes	—
878	C₂×#41	D₄²	1	8	yes	—
879	C₂×#41	D₄²	1	8	yes	—
880	C₂×#41	D₄²	1	8	yes	—
881	C₂×#41	D₄²	1	8	yes	—
882	C₂×#41	D₄²	1	8	yes	—
883	C₂×#41	D₄²	1	8	yes	—
884	C₂×#41	C₂³×D₄	1	4	yes	—
885	C₂×#41	C₂³×D₄	1	4	yes	—
886	C₂×#41	C₂³×D₄	1	4	yes	—
887	C₂×#41	C₂³×D₄	1	8	yes	—
888	C₂×#41	C₂³×D₄	1	4	yes	—
889	C₂×#41	C₂³×D₄	1	8	yes	—
890	C₂×#41	C₂³×D₄	1	8	yes	—
891	C₂×#41	C₂³×D₄	1	4	yes	—
892	C₂×#41	C₂³×D₄	1	8	yes	—
893	C₂×#41	C₂³×D₄	1	8	yes	—
894	C₂×#41	C₂³×D₄	1	8	yes	—
895	C₂×#41	C₂³×D₄	1	4	yes	—
896	C₂×#41	C₂³×D₄	1	8	yes	—
897	C₂×#41	C₂³×D₄	1	4	yes	—
898	C₂×#41	C₂³×D₄	1	8	yes	—
899	C₂×#41	C₂³×D₄	1	8	yes	—
900	C₂×#41	C₂³×D₄	1	8	yes	—
901	C₂×#41	C₂³×D₄	1	8	yes	—
902	C₂×#41	C₂³×D₄	1	8	yes	—
903	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
904	C₂×#41	C₂×H(5,𝔽₂)	1	8	yes	—
905	C₂²×Q₈	C₂×#120	1	2	yes	—
906	C₂²×Q₈	C₂×#120	1	2	yes	—
907	C₂²×Q₈	C₂×#120	1	4	yes	—
908	C₂²×Q₈	C₂×#120	1	4	yes	—
909	C₂²×Q₈	C₂×#120	1	2	yes	—
910	C₂²×Q₈	C₂×#120	1	2	yes	—
911	C₂²×Q₈	C₂×#120	1	4	yes	—
912	C₂²×Q₈	C₂×#120	1	2	yes	—
913	C₂²×Q₈	C₂×#120	1	2	yes	—
914	C₂²×Q₈	C₂×#120	1	4	yes	—
915	C₂²×Q₈	C₂×#120	1	2	yes	—
916	C₂²×Q₈	C₂×#120	1	16	yes	—
917	C₂²×Q₈	C₂×#120	1	2	yes	—
918	C₂²×Q₈	C₂×#120	1	4	yes	—
919	C₂²×Q₈	C₂×#120	1	4	yes	—
920	C₂²×Q₈	#534	1	4	yes	—
921	C₂²×Q₈	#534	1	4	yes	—
922	C₂²×Q₈	D₄²	1	2	yes	—
923	C₂²×Q₈	D₄²	1	2	yes	—
924	C₂²×Q₈	D₄²	1	2	yes	—
925	C₂²×Q₈	D₄²	1	4	yes	—
926	C₂²×Q₈	D₄²	1	4	yes	—
927	C₂²×Q₈	D₄²	1	4	yes	—
928	C₂²×Q₈	D₄²	1	4	yes	—
929	C₂²×Q₈	C₂³×D₄	1	2	yes	—
930	C₂²×Q₈	C₂³×D₄	1	2	yes	—
931	C₂²×Q₈	C₂³×D₄	1	4	yes	—
932	C₂²×Q₈	C₂³×D₄	1	2	yes	—
933	C₂²×Q₈	C₂³×D₄	1	4	yes	—
934	C₂²×Q₈	C₂³×D₄	1	2	yes	—
935	C₂²×Q₈	C₂³×D₄	1	2	yes	—
936	C₂²×Q₈	C₂×H(5,𝔽₂)	1	4	yes	—
937	C₂²×D₄	C₂×#120	1	4	yes	—
938	C₂²×D₄	C₂×#120	1	4	yes	—
939	C₂²×D₄	C₂×#120	1	2	yes	—
940	C₂²×D₄	C₂×#120	1	2	yes	—
941	C₂²×D₄	C₂×#120	1	2	yes	—
942	C₂²×D₄	C₂×#120	1	2	yes	—
943	C₂²×D₄	C₂×#120	1	4	yes	—
944	C₂²×D₄	C₂×#120	1	4	yes	—
945	C₂²×D₄	C₂×#120	1	4	yes	—
946	C₂²×D₄	C₂×#120	1	8	yes	—
947	C₂²×D₄	C₂×#120	1	2	yes	—
948	C₂²×D₄	C₂×#120	1	2	yes	—
949	C₂²×D₄	C₂×#120	1	4	yes	—
950	C₂²×D₄	C₂×#120	1	2	yes	—
951	C₂²×D₄	C₂×#120	1	16	yes	—
952	C₂²×D₄	C₂×#120	1	2	yes	—
953	C₂²×D₄	C₂×#120	1	4	yes	—
954	C₂²×D₄	C₂×#120	1	4	yes	—
955	C₂²×D₄	#534	1	4	yes	—
956	C₂²×D₄	#534	1	4	yes	—
957	C₂²×D₄	#534	1	4	yes	—
958	C₂²×D₄	#534	1	4	yes	—
959	C₂²×D₄	D₄²	1	4	yes	—
960	C₂²×D₄	D₄²	1	4	yes	—
961	C₂²×D₄	D₄²	1	4	yes	—
962	C₂²×D₄	D₄²	1	4	yes	—
963	C₂²×D₄	D₄²	1	4	yes	—
964	C₂²×D₄	D₄²	1	4	yes	—
965	C₂²×D₄	D₄²	1	2	yes	—
966	C₂²×D₄	D₄²	1	4	yes	—
967	C₂²×D₄	D₄²	1	2	yes	—
968	C₂²×D₄	D₄²	1	2	yes	—
969	C₂²×D₄	C₂³×D₄	1	4	yes	—
970	C₂²×D₄	C₂³×D₄	1	2	yes	—
971	C₂²×D₄	C₂³×D₄	1	4	yes	—
972	C₂²×D₄	C₂³×D₄	1	8	yes	—
973	C₂²×D₄	C₂³×D₄	1	2	yes	—
974	C₂²×D₄	C₂³×D₄	1	4	yes	—
975	C₂²×D₄	C₂³×D₄	1	4	yes	—
976	C₂²×D₄	C₂³×D₄	1	2	yes	—
977	C₂²×D₄	C₂³×D₄	1	2	yes	—
978	C₂²×D₄	C₂³×D₄	1	2	yes	—
979	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
980	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
981	C₂³×C₄	C₂×#120	1	4	yes	—
982	C₂³×C₄	C₂×#120	1	4	yes	—
983	C₂³×C₄	D₄²	1	2	yes	—
984	C₂³×C₄	D₄²	1	4	yes	—
985	C₂³×C₄	D₄²	1	4	yes	—
986	C₂³×C₄	D₄²	1	4	yes	—
987	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
988	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
989	C₂³×C₄	C₂³×D₄	1	2	yes	—
990	C₂³×C₄	C₂³×D₄	1	2	yes	—
991	C₂³×C₄	C₂³×D₄	1	2	yes	—
992	C₂³×C₄	C₂³×D₄	1	2	yes	—
993	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
994	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
995	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
996	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
997	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
998	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
999	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1000	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×D₄	1	4	yes	—
1002	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1003	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1004	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1005	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1006	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1007	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1008	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1009	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1010	#137	C₂×#120	1	32	yes	—
1011	AGL(1,ℤ/8)	C₂×#120	1	64	yes	—
1012	AGL(1,ℤ/8)	C₂×#120	1	32	yes	—
1013	C₂×Q₁₆	C₂×#120	1	32	yes	complemented
1014	C₂×SD₁₆	C₂×#120	1	32	yes	complemented
1015	C₂×SD₁₆	C₂×#120	1	32	yes	complemented
1016	C₂×D₈	C₂×#120	1	32	yes	complemented
1017	C₂×M₁₆	C₂×#120	1	8	yes	—
1018	C₂×M₁₆	C₂×#120	1	8	yes	—
1019	C₂×M₁₆	C₂×#120	1	4	yes	—
1020	C₂×M₁₆	C₂×#120	1	4	yes	—
1021	C₂×M₁₆	C₂×#120	1	8	yes	—
1022	C₂×M₁₆	C₂×#120	1	4	yes	—
1023	C₂×M₁₆	C₂×#120	1	4	yes	—
1024	C₂×M₁₆	C₂×#120	1	8	yes	—
1025	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1026	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1027	C₂×M₁₆	C₂³×D₄	1	4	yes	—
1028	C₂×M₁₆	C₂³×D₄	1	4	yes	—
1029	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1030	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1031	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1032	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1033	C₂²×C₈	C₂×#120	1	8	yes	—
1034	C₂²×C₈	C₂×#120	1	8	yes	—
1035	C₂²×C₈	C₂³×D₄	1	8	yes	—
1036	#117	C₂³×D₄	1	4	yes	—
1037	C₂×C₄²	C₂³×D₄	1	4	yes	—
1038	C₂⁴	#2403	1	4	yes	—
1039	C₂⁴	#2403	1	4	yes	—
1040	C₂⁴	C₂×#534	1	1	yes	characteristic
1041	C₂⁴	C₂×#534	1	1	yes	characteristic
1042	C₂⁴	C₂×D₄²	1	4	yes	—
1043	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1044	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1045	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1046	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1047	C₂⁴	#3484	1	2	yes	—
1048	C₂⁴	#3484	1	2	yes	—
1049	C₂⁴	#3484	1	2	yes	—
1050	C₂⁴	#3484	1	2	yes	—
1051	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1052	#41	#2403	1	16	yes	—
1053	#41	#2403	1	16	yes	—
1054	#41	#2403	1	16	yes	—
1055	#41	#2403	1	16	yes	—
1056	#41	#2846	1	8	yes	—
1057	#41	#2846	1	8	yes	—
1058	#41	#2846	1	16	yes	—
1059	#41	C₂²×#120	1	8	yes	—
1060	#41	C₂²×#120	1	8	yes	—
1061	#41	C₂²×#120	1	16	yes	—
1062	#41	C₂²×#120	1	16	yes	—
1063	#41	C₂²×#120	1	16	yes	—
1064	#41	C₂×D₄²	1	16	yes	—
1065	#41	C₂×D₄²	1	16	yes	—
1066	C₂×Q₈	#2403	1	4	yes	—
1067	C₂×Q₈	#2403	1	4	yes	—
1068	C₂×Q₈	#2403	1	8	yes	—
1069	C₂×Q₈	#2403	1	8	yes	—
1070	C₂×Q₈	#2403	1	8	yes	—
1071	C₂×Q₈	#2403	1	8	yes	—
1072	C₂×Q₈	#2846	1	8	yes	—
1073	C₂×Q₈	#2846	1	4	yes	—
1074	C₂×Q₈	#2846	1	4	yes	—
1075	C₂×Q₈	C₂²×#120	1	4	yes	—
1076	C₂×Q₈	C₂²×#120	1	8	yes	—
1077	C₂×Q₈	C₂²×#120	1	4	yes	—
1078	C₂×Q₈	C₂²×#120	1	4	yes	—
1079	C₂×Q₈	C₂²×#120	1	8	yes	—
1080	C₂×Q₈	C₂²×#120	1	8	yes	—
1081	C₂×Q₈	C₂²×#120	1	4	yes	—
1082	C₂×Q₈	C₂×#534	1	8	yes	—
1083	C₂×Q₈	C₂×D₄²	1	4	yes	—
1084	C₂×Q₈	C₂×D₄²	1	8	yes	—
1085	C₂×Q₈	C₂×D₄²	1	8	yes	—
1086	C₂×D₄	#2403	1	8	yes	—
1087	C₂×D₄	#2403	1	8	yes	—
1088	C₂×D₄	#2403	1	8	yes	—
1089	C₂×D₄	#2403	1	8	yes	—
1090	C₂×D₄	#2403	1	4	yes	—
1091	C₂×D₄	#2403	1	4	yes	—
1092	C₂×D₄	#2403	1	8	yes	—
1093	C₂×D₄	#2403	1	8	yes	—
1094	C₂×D₄	#2846	1	8	yes	—
1095	C₂×D₄	#2846	1	4	yes	—
1096	C₂×D₄	#2846	1	4	yes	—
1097	C₂×D₄	C₂²×#120	1	8	yes	—
1098	C₂×D₄	C₂²×#120	1	8	yes	—
1099	C₂×D₄	C₂²×#120	1	4	yes	—
1100	C₂×D₄	C₂²×#120	1	4	yes	—
1101	C₂×D₄	C₂²×#120	1	8	yes	—
1102	C₂×D₄	C₂²×#120	1	8	yes	—
1103	C₂×D₄	C₂²×#120	1	4	yes	—
1104	C₂×D₄	C₂²×#120	1	4	yes	—
1105	C₂×D₄	C₂×#534	1	8	yes	—
1106	C₂×D₄	C₂×#534	1	8	yes	—
1107	C₂×D₄	C₂×D₄²	1	8	yes	—
1108	C₂×D₄	C₂×D₄²	1	8	yes	—
1109	C₂×D₄	C₂×D₄²	1	8	yes	—
1110	C₂×D₄	C₂×D₄²	1	4	yes	—
1111	C₂²×C₄	#2403	1	4	yes	—
1112	C₂²×C₄	#2403	1	4	yes	—
1113	C₂²×C₄	#2403	1	8	yes	—
1114	C₂²×C₄	#2403	1	8	yes	—
1115	C₂²×C₄	C₂²×#120	1	2	yes	—
1116	C₂²×C₄	C₂²×#120	1	2	yes	—
1117	C₂²×C₄	C₂²×#120	1	2	yes	—
1118	C₂²×C₄	C₂²×#120	1	2	yes	—
1119	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1120	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1122	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1123	C₂²×C₄	C₂²×#120	1	2	yes	—
1124	C₂²×C₄	C₂²×#120	1	2	yes	—
1125	C₂²×C₄	C₂²×#120	1	2	yes	—
1126	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1127	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1128	C₂²×C₄	C₂²×#120	1	2	yes	—
1129	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1130	C₂²×C₄	C₂²×#120	1	2	yes	—
1131	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1132	C₂²×C₄	C₂²×#120	1	2	yes	—
1133	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1134	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1135	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1136	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1137	C₂²×C₄	C₂²×#120	1	8	yes	—
1138	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1139	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1140	C₂²×C₄	C₂×#534	1	2	yes	—
1141	C₂²×C₄	C₂×#534	1	2	yes	—
1142	C₂²×C₄	C₂×#534	1	2	yes	—
1143	C₂²×C₄	C₂×#534	1	2	yes	—
1144	C₂²×C₄	C₂×D₄²	1	2	yes	—
1145	C₂²×C₄	C₂×D₄²	1	2	yes	—
1146	C₂²×C₄	C₂×D₄²	1	2	yes	—
1147	C₂²×C₄	C₂×D₄²	1	2	yes	—
1148	C₂²×C₄	C₂×D₄²	1	2	yes	—
1149	C₂²×C₄	C₂×D₄²	1	2	yes	—
1150	C₂²×C₄	C₂×D₄²	1	2	yes	—
1151	C₂²×C₄	C₂×D₄²	1	2	yes	—
1152	C₂²×C₄	C₂×D₄²	1	2	yes	—
1153	C₂²×C₄	C₂×D₄²	1	2	yes	—
1154	C₂²×C₄	C₂×D₄²	1	2	yes	—
1155	C₂²×C₄	C₂×D₄²	1	2	yes	—
1156	C₂²×C₄	C₂×D₄²	1	2	yes	—
1157	C₂²×C₄	C₂×D₄²	1	2	yes	—
1158	C₂²×C₄	C₂×D₄²	1	2	yes	—
1159	C₂²×C₄	C₂×D₄²	1	2	yes	—
1160	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1161	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1162	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1163	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1164	C₂²×C₄	C₂×D₄²	1	4	yes	—
1165	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1166	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1167	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1168	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1169	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1170	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1171	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1172	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1173	C₂²×C₄	C₂×D₄²	1	8	yes	—
1174	C₂²×C₄	#3484	1	1	yes	characteristic
1175	C₂²×C₄	#3484	1	1	yes	characteristic
1176	C₂²×C₄	#3484	1	2	yes	—
1177	C₂²×C₄	#3484	1	2	yes	—
1178	C₂²×C₄	#3484	1	2	yes	—
1179	C₂²×C₄	#3484	1	2	yes	—
1180	C₂²×C₄	#3484	1	2	yes	—
1181	C₂²×C₄	#3484	1	1	yes	characteristic
1182	C₂²×C₄	#3484	1	1	yes	characteristic
1183	C₂²×C₄	#3484	1	2	yes	—
1184	C₂²×C₄	#3484	1	2	yes	—
1185	C₂²×C₄	#3484	1	2	yes	—
1186	C₂²×C₄	#3484	1	2	yes	—
1187	C₂²×C₄	#3484	1	2	yes	—
1188	C₂²×C₄	#3484	1	2	yes	—
1189	C₂²×C₄	#3484	1	2	yes	—
1190	C₂²×C₄	#3484	1	2	yes	—
1191	C₂²×C₄	#3484	1	2	yes	—
1192	C₂²×C₄	#3484	1	2	yes	—
1193	C₂²×C₄	#3484	1	2	yes	—
1194	C₂²×C₄	#3484	1	2	yes	—
1195	C₂²×C₄	#3484	1	2	yes	—
1196	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1199	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1200	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1203	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1204	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1205	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1206	M₁₆	C₂²×#120	1	8	yes	—
1207	M₁₆	C₂²×#120	1	8	yes	—
1208	C₂×C₈	C₂²×#120	1	16	yes	—
1209	C₂³	C₂×#2403	1	8	yes	—
1210	C₂³	C₂×#2403	1	1	yes	characteristic
1211	C₂³	C₂×#2403	1	1	yes	characteristic
1212	C₂³	C₂×#2403	1	1	yes	characteristic
1213	C₂³	C₂×#2403	1	1	yes	characteristic
1214	C₂³	#34980	1	2	yes	—
1215	C₂³	#34980	1	2	yes	—
1216	C₂³	#34980	1	2	yes	—
1217	C₂³	#34980	1	2	yes	—
1218	C₂³	D₄×#120	1	2	yes	—
1219	C₂³	D₄×#120	1	1	yes	characteristic
1220	C₂³	D₄×#120	1	2	yes	—
1221	C₂³	D₄×#120	1	2	yes	—
1222	C₂³	D₄×#120	1	1	yes	characteristic
1223	C₂³	D₄×#120	1	2	yes	—
1224	C₂³	D₄×#120	1	2	yes	—
1225	C₂³	D₄×#120	1	2	yes	—
1226	C₂³	D₄×#120	1	1	yes	characteristic
1227	C₂³	D₄×#120	1	1	yes	characteristic
1228	C₂³	C₂²×#534	1	1	yes	characteristic
1229	C₂³	C₂²×D₄²	1	1	yes	characteristic
1230	C₂³	C₂²×D₄²	1	1	yes	characteristic
1231	C₂³	C₂×#3484	1	2	yes	—
1232	C₂³	C₂×#3484	1	2	yes	—
1233	Q₈	C₂×#2403	1	16	yes	—
1234	Q₈	C₂×#2846	1	8	yes	—
1235	D₄	C₂×#2403	1	16	yes	—
1236	D₄	C₂×#2846	1	8	yes	—
1237	C₂×C₄	C₂×#2403	1	2	yes	—
1238	C₂×C₄	C₂×#2403	1	2	yes	—
1239	C₂×C₄	C₂×#2403	1	2	yes	—
1240	C₂×C₄	C₂×#2403	1	2	yes	—
1241	C₂×C₄	C₂×#2403	1	2	yes	—
1242	C₂×C₄	C₂×#2403	1	2	yes	—
1243	C₂×C₄	C₂×#2403	1	2	yes	—
1244	C₂×C₄	C₂×#2403	1	2	yes	—
1245	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1246	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1247	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1248	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1249	C₂×C₄	C₂×#2403	1	8	yes	—
1250	C₂×C₄	#34980	1	2	yes	—
1251	C₂×C₄	#34980	1	2	yes	—
1252	C₂×C₄	#34980	1	2	yes	—
1253	C₂×C₄	#34980	1	2	yes	—
1254	C₂×C₄	#34980	1	1	yes	characteristic
1255	C₂×C₄	#34980	1	1	yes	characteristic
1256	C₂×C₄	#34980	1	1	yes	characteristic
1257	C₂×C₄	#34980	1	2	yes	—
1258	C₂×C₄	#34980	1	2	yes	—
1259	C₂×C₄	#34980	1	1	yes	characteristic
1260	C₂×C₄	D₄×#120	1	2	yes	—
1261	C₂×C₄	D₄×#120	1	2	yes	—
1262	C₂×C₄	D₄×#120	1	1	yes	characteristic
1263	C₂×C₄	D₄×#120	1	1	yes	characteristic
1264	C₂×C₄	D₄×#120	1	2	yes	—
1265	C₂×C₄	D₄×#120	1	1	yes	characteristic
1266	C₂×C₄	D₄×#120	1	2	yes	—
1267	C₂×C₄	D₄×#120	1	1	yes	characteristic
1268	C₂×C₄	D₄×#120	1	2	yes	—
1269	C₂×C₄	D₄×#120	1	2	yes	—
1270	C₂×C₄	D₄×#120	1	2	yes	—
1271	C₂×C₄	D₄×#120	1	2	yes	—
1272	C₂×C₄	D₄×#120	1	2	yes	—
1273	C₂×C₄	D₄×#120	1	1	yes	characteristic
1274	C₂×C₄	D₄×#120	1	2	yes	—
1275	C₂×C₄	D₄×#120	1	2	yes	—
1276	C₂×C₄	D₄×#120	1	1	yes	characteristic
1277	C₂×C₄	D₄×#120	1	1	yes	characteristic
1278	C₂×C₄	D₄×#120	1	2	yes	—
1279	C₂×C₄	D₄×#120	1	2	yes	—
1280	C₂×C₄	D₄×#120	1	1	yes	characteristic
1281	C₂×C₄	D₄×#120	1	1	yes	characteristic
1282	C₂×C₄	D₄×#120	1	1	yes	characteristic
1283	C₂×C₄	D₄×#120	1	2	yes	—
1284	C₂×C₄	D₄×#120	1	2	yes	—
1285	C₂×C₄	D₄×#120	1	2	yes	—
1286	C₂×C₄	D₄×#120	1	2	yes	—
1287	C₂×C₄	D₄×#120	1	2	yes	—
1288	C₂×C₄	D₄×#120	1	1	yes	characteristic
1289	C₂×C₄	D₄×#120	1	1	yes	characteristic
1290	C₂×C₄	C₂×#2846	1	2	yes	—
1291	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1292	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1293	C₂×C₄	C₂×#2846	1	2	yes	—
1294	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1295	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1296	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1297	C₂×C₄	C₂³×#120	1	2	yes	—
1298	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1299	C₂×C₄	C₂³×#120	1	2	yes	—
1300	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1301	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1302	C₂×C₄	C₂²×#534	1	2	yes	—
1303	C₂×C₄	C₂²×D₄²	1	2	yes	—
1304	C₂×C₄	C₂²×D₄²	1	2	yes	—
1305	C₂×C₄	C₂²×D₄²	1	2	yes	—
1306	C₂×C₄	C₂²×D₄²	1	2	yes	—
1307	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1308	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1309	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1310	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1311	C₂×C₄	C₂×#3484	1	2	yes	—
1312	C₂×C₄	C₂×#3484	1	2	yes	—
1313	C₂×C₄	C₂×#3484	1	2	yes	—
1314	C₂²	#612424	1	2	yes	—
1315	C₂²	#612424	1	1	yes	characteristic
1316	C₂²	#612424	1	1	yes	characteristic
1317	C₂²	#612424	1	2	yes	—
1318	C₂²	#612424	1	1	yes	characteristic
1319	C₂²	#612424	1	1	yes	characteristic
1320	C₂²	C₂²×#2403	1	1	yes	characteristic
1321	C₂²	C₂×#34980	1	2	yes	—
1322	C₂²	C₂×D₄×#120	1	2	yes	—
1323	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1324	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1325	C₄	#612424	1	1	yes	characteristic
1326	C₄	#612424	1	2	yes	—
1327	C₄	#612424	1	1	yes	characteristic
1328	C₄	#612424	1	1	yes	characteristic
1329	C₄	#612424	1	2	yes	—
1330	C₄	#612424	1	1	yes	characteristic
1331	C₄	C₂²×#2403	1	2	yes	—
1332	C₄	C₂×#34980	1	1	yes	characteristic
1333	C₄	C₂×D₄×#120	1	2	yes	—
1334	C₄	C₂×D₄×#120	1	1	yes	characteristic
1335	C₄	C₂×D₄×#120	1	1	yes	characteristic
1336	C₄	C₂²×#2846	1	1	yes	characteristic
1337	C₂	C₂×#612424	1	1	yes	characteristic
1338	C₂	#72241161	1	2	yes	direct product factor

	subgroup	G/H
center, socle	C₂²	#612424
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#392714	C₂	semidirect
2. C₂×#359685	C₂	semidirect
3. C₂×#392703	C₂	semidirect
4. C₂×#393907	C₂	semidirect
5. C₂×#359548	C₂	semidirect
6. C₂×#394043	C₂	semidirect
7. C₂×#394054	C₂	semidirect
8. C₂×#394127	C₂	semidirect
9. C₂×#6437480	C₂	semidirect
10. C₂×#6437610	C₂	semidirect
11. C₂×#359619	C₂	semidirect
12. C₂×#394032	C₂	semidirect
13. C₂×#392140	C₂	semidirect
14. C₂×#6437578	C₂	semidirect
15. C₂×#10574846	C₂	semidirect
16. C₂×#10586999	C₂	semidirect
17. C₂×#359681	C₂	semidirect
18. C₂×#394131	C₂	semidirect
19. C₂×#394133	C₂	semidirect
20. C₂×#6628883	C₂	semidirect
21. #72241161	C₂	direct (N × H)
22. C₂×#6437593	C₂	semidirect
23. C₂×#6628872	C₂	semidirect
24. C₂×#394022	C₂	semidirect
26. C₂²×H(7,𝔽₂)	C₂²	semidirect
27. #10586999	C₂²	semidirect
30. C₂×#63090	C₂²	semidirect
31. C₂×#63090	C₂²	semidirect
34. C₂²×#3585	C₂²	semidirect
35. C₂²×#3585	C₂²	semidirect
36. C₂²×#3585	C₂²	semidirect
37. C₂×#63076	C₂²	semidirect
38. C₂×#62852	C₂²	semidirect
39. C₂×#60398	C₂²	semidirect
40. #10574846	C₂²	semidirect
41. C₂×#60369	C₂²	semidirect
42. C₂×#60367	C₂²	semidirect
43. C₂×#60367	C₂²	semidirect
44. C₂×#60367	C₂²	semidirect
46. C₂×#60387	C₂²	semidirect
47. C₂×#60387	C₂²	semidirect
48. C₂×#60387	C₂²	semidirect
50. C₂²×#3021	C₂²	semidirect
51. C₂²×#3021	C₂²	semidirect
52. C₂²×#3021	C₂²	semidirect
53. C₂²×#3019	C₂²	semidirect
54. C₂³×#453	C₂²	semidirect
55. C₂³×#453	C₂²	semidirect
56. C₂×#60076	C₂²	semidirect
57. C₂×#60093	C₂²	semidirect
58. C₂×#35527	C₂²	semidirect
59. #6628883	C₂²	semidirect
60. #6628872	C₂²	semidirect
61. #6437610	C₂²	semidirect
62. #6437593	C₂²	semidirect
63. #6437578	C₂²	semidirect
64. #6437480	C₂²	semidirect
65. C₂×#23439	C₂²	semidirect
66. C₂×#23439	C₂²	semidirect
67. C₂×#23439	C₂²	semidirect
68. C₂×#23434	C₂²	semidirect
69. C₂×#23430	C₂²	semidirect
70. C₂×#23414	C₂²	semidirect
71. C₂×#23412	C₂²	semidirect
72. C₂²×#2008	C₂²	semidirect
73. C₂²×#2008	C₂²	semidirect
74. C₂×#23407	C₂²	semidirect
75. C₂×#23406	C₂²	semidirect
76. C₂×#23406	C₂²	semidirect
77. C₂×#23402	C₂²	semidirect
78. C₂²×#2002	C₂²	semidirect
79. C₂²×#1910	C₂²	semidirect
80. C₂×#21005	C₂²	semidirect
81. C₂×#21005	C₂²	semidirect
82. C₂×#20998	C₂²	semidirect
83. C₂×#20995	C₂²	semidirect
84. C₂²×#1903	C₂²	semidirect
85. C₂×#20990	C₂²	semidirect
86. C₂×#20964	C₂²	semidirect
87. C₂×#20945	C₂²	semidirect
88. C₂×#20942	C₂²	semidirect
89. C₂×#20939	C₂²	semidirect
90. C₂×#20939	C₂²	semidirect
91. C₂×#20918	C₂²	semidirect
92. C₂×#20918	C₂²	semidirect
93. C₂×#20903	C₂²	semidirect
94. C₂×#20623	C₂²	semidirect
95. C₂×#20623	C₂²	semidirect
96. C₂²×#1795	C₂²	semidirect
97. C₂²×#1795	C₂²	semidirect
98. C₂×#20620	C₂²	semidirect
99. C₂×#20620	C₂²	semidirect
100. C₂×#20620	C₂²	semidirect
101. C₂×#20616	C₂²	semidirect
102. C₂×#20615	C₂²	semidirect
103. C₂×#20615	C₂²	semidirect
104. C₂×#20615	C₂²	semidirect
105. C₂×#20612	C₂²	semidirect
106. C₂×#20612	C₂²	semidirect
107. C₂×#20608	C₂²	semidirect
108. C₂×#20606	C₂²	semidirect
109. C₂×#20606	C₂²	semidirect
110. C₂×#20606	C₂²	semidirect
111. C₂×#20592	C₂²	semidirect
112. #394133	C₂²	semidirect
113. #394131	C₂²	semidirect
114. #394127	C₂²	semidirect
115. #394054	C₂²	semidirect
116. #394043	C₂²	semidirect
117. #394032	C₂²	semidirect
118. #394022	C₂²	semidirect
119. #393907	C₂²	semidirect
120. #392714	C₂²	semidirect
121. #392703	C₂²	semidirect
122. #392140	C₂²	semidirect
123. #359685	C₂²	semidirect
124. #359681	C₂²	semidirect
125. #359619	C₂²	semidirect
126. #359548	C₂²	semidirect
127. C₂×#11037	C₂²	semidirect
128. C₂×#11037	C₂²	semidirect
129. C₂×#11034	C₂²	semidirect
130. C₂×#11033	C₂²	semidirect
131. C₂×#11032	C₂²	semidirect
132. C₂×#11032	C₂²	semidirect
133. C₂×#11032	C₂²	semidirect
134. C₂×#11019	C₂²	semidirect
135. C₂×#11014	C₂²	semidirect
136. C₂×#11012	C₂²	semidirect
137. C₂×#11041	C₂²	semidirect
138. C₂×#11039	C₂²	semidirect
139. C₂×#10787	C₂²	semidirect
140. C₂×#10780	C₂²	semidirect
141. C₂×#10746	C₂²	semidirect
142. C₂×#10744	C₂²	semidirect
143. C₂×#10794	C₂²	semidirect
144. C₂×#10778	C₂²	semidirect
145. C₂×#10771	C₂²	semidirect
146. C₂×#10767	C₂²	semidirect
147. #63103	D₄	semidirect
149. C₂×2₋¹⁺⁶	D₄	semidirect
150. C₂×H(7,𝔽₂)	D₄	semidirect
151. C₂×H(7,𝔽₂)	C₂³	semidirect
161. C₂³×H(5,𝔽₂)	C₂³	semidirect
162. #63090	D₄	semidirect
163. #63090	D₄	semidirect
166. #63090	C₂³	semidirect
167. #63090	C₂³	semidirect
168. C₂×#3586	D₄	semidirect
169. C₂×#3586	D₄	semidirect
170. C₂×#3585	D₄	semidirect
171. C₂×#3585	D₄	semidirect
172. C₂×#3585	D₄	semidirect
173. C₂×#3585	D₄	semidirect
176. C₂×#3585	C₂³	semidirect
177. C₂×#3585	C₂³	semidirect
178. C₂×#3585	C₂³	semidirect
179. C₂²×#577	D₄	semidirect
180. C₂²×#576	D₄	semidirect
181. C₂²×#575	D₄	semidirect
190. C₂²×#575	C₂³	semidirect
191. C₂²×#575	C₂³	semidirect
192. C₂³×AGL(1,ℤ/8)	D₄	semidirect
197. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
198. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
199. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
200. #63076	C₂³	semidirect
205. C₂²×#568	C₂³	semidirect
206. #62852	C₂³	semidirect
208. C₂×#3449	C₂³	semidirect
209. C₂×#3449	C₂³	semidirect
211. C₂²×#535	C₂³	semidirect
212. C₂²×#535	C₂³	semidirect
213. C₂³×#127	C₂³	semidirect
214. C₂×#3428	C₂³	semidirect
215. #60398	C₂³	semidirect
216. #60387	D₄	semidirect
218. #60387	C₂³	semidirect
219. #60387	C₂³	semidirect
220. #60387	C₂³	semidirect
221. C₂×#3022	D₄	semidirect
222. C₂×#3021	D₄	semidirect
223. C₂×#3021	D₄	semidirect
225. C₂×#3021	C₂³	semidirect
226. C₂×#3021	C₂³	semidirect
227. C₂×#3021	C₂³	semidirect
228. C₂×#3019	C₂³	semidirect
229. C₂²×#454	D₄	semidirect
230. C₂²×#453	D₄	semidirect
231. C₂²×#453	C₂³	semidirect
232. C₂²×#453	C₂³	semidirect
233. #60369	C₂³	semidirect
234. #60367	C₂³	semidirect
235. #60367	C₂³	semidirect
236. #60367	C₂³	semidirect
237. #60093	C₂³	semidirect
241. C₂²×#421	C₂³	semidirect
242. C₂²×#421	C₂³	semidirect
243. C₂²×#421	C₂³	semidirect
244. C₂²×#421	C₂³	semidirect
245. C₂²×#421	C₂³	semidirect
246. C₂²×#421	C₂³	semidirect
247. C₂²×#421	C₂³	semidirect
248. C₂²×#421	C₂³	semidirect
250. C₂³×#104	C₂³	semidirect
251. C₂³×#104	C₂³	semidirect
252. C₂³×#104	C₂³	semidirect
253. C₂³×#104	C₂³	semidirect
256. C₂×#2896	C₂³	semidirect
257. C₂×#2896	C₂³	semidirect
258. C₂×#2896	C₂³	semidirect
259. C₂²×#418	C₂³	semidirect
260. C₂²×#418	C₂³	semidirect
261. C₂²×#418	C₂³	semidirect
262. #60076	C₂³	semidirect
266. C₂²×#413	C₂³	semidirect
267. C₂²×#413	C₂³	semidirect
268. C₂²×#413	C₂³	semidirect
269. C₂³×#100	C₂³	semidirect
270. C₂³×#100	C₂³	semidirect
271. C₂³×#100	C₂³	semidirect
273. C₂²×#410	C₂³	semidirect
274. C₂²×#410	C₂³	semidirect
276. C₂×#2879	C₂³	semidirect
277. C₂×#2879	C₂³	semidirect
278. C₂×#2879	C₂³	semidirect
279. C₂×#2879	C₂³	semidirect
280. #35527	C₂³	semidirect
281. C₂×#2309	C₂³	semidirect
283. C₂×#2297	C₂³	semidirect
284. C₂×#2297	C₂³	semidirect
285. #23439	C₂³	semidirect
286. #23439	C₂³	semidirect
287. #23439	C₂³	semidirect
288. #23434	C₂³	semidirect
289. #23430	C₂³	semidirect
290. #23414	C₂³	semidirect
291. #23412	C₂³	semidirect
292. C₂×#2008	C₂³	semidirect
293. C₂×#2008	C₂³	semidirect
294. #23407	C₂³	semidirect
295. #23406	C₂³	semidirect
296. #23406	C₂³	semidirect
297. #23402	C₂³	semidirect
298. C₂×#2002	C₂³	semidirect
299. C₂×#1910	C₂³	semidirect
300. #21005	C₂³	semidirect
301. #21005	C₂³	semidirect
302. #20998	C₂³	semidirect
303. #20995	C₂³	semidirect
304. C₂×#1903	C₂³	semidirect
305. #20990	C₂³	semidirect
306. #20964	C₂³	semidirect
307. #20945	C₂³	semidirect
308. #20942	C₂³	semidirect
309. #20939	C₂³	semidirect
310. #20939	C₂³	semidirect
311. #20918	C₂³	semidirect
312. #20918	C₂³	semidirect
313. #20903	C₂³	semidirect
314. #20623	C₂³	semidirect
315. #20623	C₂³	semidirect
316. C₂×#1795	C₂³	semidirect
317. C₂×#1795	C₂³	semidirect
318. #20620	C₂³	semidirect
319. #20620	C₂³	semidirect
320. #20620	C₂³	semidirect
321. #20616	C₂³	semidirect
322. #20615	C₂³	semidirect
323. #20615	C₂³	semidirect
324. #20615	C₂³	semidirect
325. #20612	C₂³	semidirect
326. #20612	C₂³	semidirect
327. #20608	C₂³	semidirect
328. #20606	C₂³	semidirect
329. #20606	C₂³	semidirect
330. #20606	C₂³	semidirect
331. #20592	C₂³	semidirect
332. C₂²×#344	C₂³	semidirect
333. C₂²×#344	C₂³	semidirect
334. C₂²×#344	C₂³	semidirect
335. C₂×#1742	C₂³	semidirect
336. C₂×#1742	C₂³	semidirect
337. C₂×#1742	C₂³	semidirect
338. C₂×#1738	C₂³	semidirect
339. C₂×#1738	C₂³	semidirect
340. C₂×#1738	C₂³	semidirect
341. C₂×#1733	C₂³	semidirect
342. C₂²×#339	C₂³	semidirect
343. C₂²×#338	C₂³	semidirect
344. C₂²×H(3,ℤ/4)	C₂³	semidirect
345. C₂×#1728	C₂³	semidirect
346. #11041	C₂³	semidirect
347. #11039	C₂³	semidirect
348. #11037	C₂³	semidirect
349. #11037	C₂³	semidirect
350. #11034	C₂³	semidirect
351. #11033	C₂³	semidirect
352. #11032	C₂³	semidirect
353. #11032	C₂³	semidirect
354. #11032	C₂³	semidirect
355. #11019	C₂³	semidirect
356. #11014	C₂³	semidirect
357. #11012	C₂³	semidirect
358. #10794	C₂³	semidirect
359. #10787	C₂³	semidirect
360. #10780	C₂³	semidirect
361. #10778	C₂³	semidirect
362. #10771	C₂³	semidirect
363. #10767	C₂³	semidirect
364. #10746	C₂³	semidirect
365. #10744	C₂³	semidirect
366. 2₋¹⁺⁶	C₂×D₄	semidirect
367. H(7,𝔽₂)	C₂×D₄	semidirect
386. C₂×#585	C₂×D₄	semidirect
399. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
406. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
407. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
408. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
411. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
425. #3586	C₂×D₄	semidirect
426. #3586	C₂×D₄	semidirect
427. #3585	C₂×D₄	semidirect
428. #3585	C₂×D₄	semidirect
429. C₂×#577	C₂×D₄	semidirect
430. C₂×#576	C₂×D₄	semidirect
441. C₂×#575	C₂×D₄	semidirect
442. C₂×#575	C₂×D₄	semidirect
443. C₂×#575	C₂×D₄	semidirect
444. C₂×#575	C₂×D₄	semidirect
445. C₂×#575	C₂×D₄	semidirect
454. C₂×#575	C₂⁴	semidirect
455. C₂×#575	C₂⁴	semidirect
461. C₂²×#137	C₂×D₄	semidirect
462. C₂²×#137	C₂×D₄	semidirect
476. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
477. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
478. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
479. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
484. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
485. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
486. C₂²×AGL(1,ℤ/8)	C₂⁴	semidirect
488. C₂³×SD₁₆	C₂×D₄	semidirect
489. C₂³×D₈	C₂×D₄	semidirect
493. C₂×#568	C₂×D₄	semidirect
494. C₂×#568	C₂×D₄	semidirect
495. C₂×#568	C₂×D₄	semidirect
500. C₂×#568	C₂⁴	semidirect
501. C₂²×#131	C₂×D₄	semidirect
513. #3449	C₂⁴	semidirect
514. #3449	C₂⁴	semidirect
519. C₂×#535	C₂⁴	semidirect
520. C₂×#535	C₂⁴	semidirect
522. C₂²×#127	C₂⁴	semidirect
524. #3428	C₂⁴	semidirect
530. #3022	C₂×D₄	semidirect
531. #3021	C₂×D₄	semidirect
532. C₂×#454	C₂×D₄	semidirect
533. C₂×#453	C₂×D₄	semidirect
540. C₂×#421	C₂⁴	semidirect
541. C₂×#421	C₂⁴	semidirect
542. C₂×#421	C₂⁴	semidirect
543. C₂×#421	C₂⁴	semidirect
544. C₂×#421	C₂⁴	semidirect
545. C₂×#421	C₂⁴	semidirect
546. C₂×#421	C₂⁴	semidirect
547. C₂×#421	C₂⁴	semidirect
550. C₂²×#104	C₂⁴	semidirect
551. C₂²×#104	C₂⁴	semidirect
552. C₂²×#104	C₂⁴	semidirect
553. C₂²×#104	C₂⁴	semidirect
556. #2896	C₂⁴	semidirect
557. #2896	C₂⁴	semidirect
558. #2896	C₂⁴	semidirect
559. C₂×#418	C₂⁴	semidirect
560. C₂×#418	C₂⁴	semidirect
561. C₂×#418	C₂⁴	semidirect
568. C₂×#413	C₂⁴	semidirect
569. C₂×#413	C₂⁴	semidirect
570. C₂×#413	C₂⁴	semidirect
573. C₂²×#100	C₂⁴	semidirect
574. C₂²×#100	C₂⁴	semidirect
575. C₂²×#100	C₂⁴	semidirect
577. C₂×#410	C₂⁴	semidirect
578. C₂×#410	C₂⁴	semidirect
580. #2879	C₂⁴	semidirect
581. #2879	C₂⁴	semidirect
582. #2879	C₂⁴	semidirect
583. #2879	C₂⁴	semidirect
584. #2309	C₂⁴	semidirect
586. #2297	C₂⁴	semidirect
587. #2297	C₂⁴	semidirect
588. C₂×#344	C₂⁴	semidirect
589. C₂×#344	C₂⁴	semidirect
590. C₂×#344	C₂⁴	semidirect
591. #1742	C₂⁴	semidirect
592. #1742	C₂⁴	semidirect
593. #1742	C₂⁴	semidirect
594. #1738	C₂⁴	semidirect
595. #1738	C₂⁴	semidirect
596. #1738	C₂⁴	semidirect
597. #1733	C₂⁴	semidirect
598. C₂×#339	C₂⁴	semidirect
599. C₂×#338	C₂⁴	semidirect
600. C₂×H(3,ℤ/4)	C₂⁴	semidirect
601. #1728	C₂⁴	semidirect
604. #585	#120	semidirect
605. #585	#120	semidirect
616. C₂×2₋¹⁺⁴	#120	semidirect
617. C₂×2₋¹⁺⁴	#120	semidirect
623. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
628. C₂×H(5,𝔽₂)	#120	semidirect
629. C₂×H(5,𝔽₂)	#120	semidirect
635. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
636. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
735. #575	C₂²×D₄	semidirect
738. C₂×#137	#120	semidirect
739. C₂×#137	#120	semidirect
745. C₂×#137	C₂²×D₄	semidirect
746. C₂×#137	C₂²×D₄	semidirect
752. C₂×AGL(1,ℤ/8)	#120	semidirect
753. C₂×AGL(1,ℤ/8)	#120	semidirect
763. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
764. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
765. C₂×#135	#120	semidirect
767. C₂²×Q₁₆	#120	semidirect
768. C₂²×SD₁₆	#120	semidirect
769. C₂²×SD₁₆	#120	semidirect
770. C₂²×SD₁₆	C₂²×D₄	semidirect
771. C₂²×D₈	#120	semidirect
772. C₂²×D₈	C₂²×D₄	semidirect
774. #568	C₂²×D₄	semidirect
775. C₂×#131	C₂²×D₄	semidirect
824. 2₋¹⁺⁴	C₂×#120	semidirect
826. H(5,𝔽₂)	C₂×#120	semidirect
1013. C₂×Q₁₆	C₂×#120	semidirect
1014. C₂×SD₁₆	C₂×#120	semidirect
1015. C₂×SD₁₆	C₂×#120	semidirect
1016. C₂×D₈	C₂×#120	semidirect
1338. C₂	#72241161	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×#392714	2
C₂×#359685	2
C₂×#392703	2
C₂×#393907	2
C₂×#359548	2
C₂×#394043	2
C₂×#394054	2
C₂×#394127	2
C₂×#6437480	2
C₂×#6437610	2
C₂×#359619	2
C₂×#394032	2
C₂×#392140	2
C₂×#6437578	2
C₂×#10574846	2
C₂×#10586999	2
C₂×#359681	2
C₂×#394131	2
C₂×#394133	2
C₂×#6628883	2
#72241161	2
C₂×#6437593	2
C₂×#6628872	2
C₂×#394022	2

Subgroups — C2×#72241161 #72340784

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72241161 #72340784