Subgroups — C₂×#72216123 #72251613

Order 2048.

At least 10970 conjugacy classes of subgroups; only the 5808 normal subgroups are shown.

The subgroup lattice has 991 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×#417628	C₂	1	2	yes	maximal, complemented
2	C₂×#375780	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#418531	C₂	1	2	yes	maximal, complemented
4	C₂×#395193	C₂	1	2	yes	maximal, complemented
5	C₂×#6437950	C₂	1	2	yes	maximal, complemented
6	C₂×#422903	C₂	1	2	yes	maximal, complemented
7	C₂×#394295	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#417790	C₂	1	2	yes	maximal, complemented
9	C₂×#454002	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#364600	C₂	1	2	yes	maximal, complemented
11	C₂×#6431743	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#454389	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#6437593	C₂	1	2	yes	maximal, complemented
14	C₂×#359476	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#368855	C₂	1	2	yes	maximal, complemented
16	C₂×#10576108	C₂	1	2	yes	maximal, complemented
17	C₂²×#23897	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#394102	C₂	1	2	yes	maximal, complemented
19	C₂×#394108	C₂	1	2	yes	maximal, complemented
20	#72216123	C₂	1	32	yes	maximal, direct product factor
21	C₂×#63090	C₂²	1	1	yes	characteristic, complemented
22	C₂²×#3585	C₂²	1	2	yes	complemented
23	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
24	C₂×#62811	C₂²	1	2	yes	complemented
25	C₂²×#3484	C₂²	1	2	yes	complemented
26	#10576108	C₂²	1	32	yes	complemented
27	C₂×#60644	C₂²	1	2	yes	complemented
28	C₂×#60426	C₂²	1	2	yes	—
29	C₂×#60423	C₂²	1	2	yes	complemented
30	C₂×#60454	C₂²	1	2	yes	complemented
31	C₂×#60469	C₂²	1	1	yes	characteristic, complemented
32	C₂×#60444	C₂²	1	2	yes	complemented
33	C₂×#60369	C₂²	1	2	yes	—
34	C₂×#60367	C₂²	1	2	yes	complemented
35	C₂×#60367	C₂²	1	2	yes	complemented
36	C₂×#60387	C₂²	1	2	yes	complemented
37	C₂×#60359	C₂²	1	2	yes	complemented
38	C₂²×#3019	C₂²	1	2	yes	complemented
39	C₂²×#3019	C₂²	1	2	yes	complemented
40	C₂²×#3003	C₂²	1	2	yes	complemented
41	C₂×#60141	C₂²	1	2	yes	complemented
42	C₂×#60168	C₂²	1	2	yes	complemented
43	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
44	C₂×#60093	C₂²	1	2	yes	complemented
45	#6437950	C₂²	1	32	yes	complemented
46	#6437593	C₂²	1	32	yes	complemented
47	C₂×#23897	C₂²	1	16	yes	complemented
48	C₂×#23527	C₂²	1	2	yes	complemented
49	C₂²×#2048	C₂²	1	2	yes	complemented
50	C₂×#23443	C₂²	1	2	yes	complemented
51	C₂×#23439	C₂²	1	2	yes	complemented
52	C₂×#23434	C₂²	1	2	yes	complemented
53	C₂×#23434	C₂²	1	1	yes	characteristic, complemented
54	#6431743	C₂²	1	16	yes	complemented
55	C₂×#23414	C₂²	1	2	yes	complemented
56	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
57	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
58	C₂×#23414	C₂²	1	2	yes	complemented
59	C₂²×#2010	C₂²	1	1	yes	characteristic
60	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
61	C₂²×#2010	C₂²	1	2	yes	complemented
62	C₂²×#2010	C₂²	1	2	yes	complemented
63	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
64	C₂×#23412	C₂²	1	2	yes	complemented
65	C₂×#23412	C₂²	1	2	yes	complemented
66	C₂×#23412	C₂²	1	2	yes	complemented
67	C₂²×#2008	C₂²	1	2	yes	complemented
68	C₂×#23400	C₂²	1	2	yes	complemented
69	C₂²×#1911	C₂²	1	2	yes	complemented
70	C₂²×#1911	C₂²	1	2	yes	complemented
71	C₂×#21000	C₂²	1	2	yes	complemented
72	C₂²×#1904	C₂²	1	2	yes	complemented
73	C₂×#20995	C₂²	1	2	yes	complemented
74	C₂×#20995	C₂²	1	2	yes	complemented
75	C₂²×#1903	C₂²	1	2	yes	complemented
76	C₂²×#1903	C₂²	1	2	yes	complemented
77	C₂×#20939	C₂²	1	2	yes	complemented
78	C₂×#20939	C₂²	1	2	yes	complemented
79	C₂×#20867	C₂²	1	2	yes	complemented
80	C₂²×#1795	C₂²	1	2	yes	complemented
81	C₂×#20620	C₂²	1	2	yes	complemented
82	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
85	C₂×#20338	C₂²	1	1	yes	characteristic, complemented
86	#454389	C₂²	1	16	yes	complemented
87	#454002	C₂²	1	16	yes	complemented
88	#422903	C₂²	1	32	yes	complemented
89	#418531	C₂²	1	32	yes	complemented
90	#417790	C₂²	1	32	yes	complemented
91	#417628	C₂²	1	32	yes	complemented
92	#395193	C₂²	1	32	yes	complemented
93	#394295	C₂²	1	16	yes	complemented
94	#394108	C₂²	1	32	yes	complemented
95	#394102	C₂²	1	32	yes	complemented
96	#375780	C₂²	1	16	yes	complemented
97	#368855	C₂²	1	32	yes	complemented
98	#364600	C₂²	1	32	yes	complemented
99	#359476	C₂²	1	16	yes	complemented
100	C₂×#11245	C₂²	1	2	yes	complemented
101	C₂×#11181	C₂²	1	2	yes	complemented
102	C₂×#11132	C₂²	1	2	yes	complemented
103	C₂×#11132	C₂²	1	2	yes	complemented
104	C₂×#11110	C₂²	1	1	yes	characteristic, complemented
105	C₂×#11109	C₂²	1	2	yes	complemented
106	C₂×#11101	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11037	C₂²	1	2	yes	complemented
108	C₂×#11014	C₂²	1	2	yes	complemented
109	C₂×#11014	C₂²	1	2	yes	complemented
110	C₂×#11014	C₂²	1	2	yes	complemented
111	C₂×#11004	C₂²	1	2	yes	complemented
112	C₂×#11003	C₂²	1	2	yes	complemented
113	C₂×#11000	C₂²	1	2	yes	complemented
114	C₂×#10994	C₂²	1	2	yes	complemented
115	C₂×#10993	C₂²	1	2	yes	complemented
116	C₂×#10993	C₂²	1	2	yes	complemented
117	C₂×#10987	C₂²	1	2	yes	complemented
118	C₂×#10950	C₂²	1	2	yes	complemented
119	C₂×#10950	C₂²	1	2	yes	complemented
120	C₂×#10950	C₂²	1	2	yes	complemented
121	C₂×#10890	C₂²	1	2	yes	complemented
122	C₂×#10785	C₂²	1	2	yes	complemented
123	C₂×#10793	C₂²	1	1	yes	characteristic, complemented
124	C₂×#10792	C₂²	1	2	yes	complemented
125	C₂×#10729	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₂²⋊#338	C₂²	1	1	yes	characteristic, complemented
127	C₂²×#585	C₂³	1	2	yes	—
128	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
129	C₂⁴×#41	C₂³	1	1	yes	characteristic
130	C₂⁵×D₄	C₂³	1	1	yes	characteristic
131	#63090	C₂³	1	8	yes	complemented
132	C₂×#3585	C₂³	1	16	yes	complemented
133	C₂²×#575	C₂³	1	2	yes	—
134	C₂²×#575	C₂³	1	2	yes	—
135	C₂²×#575	C₂³	1	2	yes	—
136	C₂²×#575	C₂³	1	2	yes	—
137	C₂²×#575	C₂³	1	2	yes	—
138	C₂²×#575	C₂³	1	1	yes	characteristic
139	C₂²×#575	C₂³	1	1	yes	characteristic
140	C₂²×#575	C₂³	1	1	yes	characteristic
141	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
142	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
143	C₂³×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
144	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
145	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
146	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
147	C₂³×AGL(1,ℤ/8)	C₂³	1	8	yes	—
148	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
149	C₂⁴×SD₁₆	D₄	1	2	yes	complemented
150	C₂⁴×D₈	D₄	1	2	yes	complemented
151	C₂²×#568	C₂³	1	2	yes	—
152	C₂²×#568	C₂³	1	1	yes	characteristic
153	C₂²×#568	C₂³	1	1	yes	characteristic
154	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
155	#62811	C₂³	1	16	yes	complemented
156	C₂×#3484	C₂³	1	16	yes	complemented
157	C₂×#3449	C₂³	1	2	yes	—
158	C₂×#3449	C₂³	1	2	yes	—
159	C₂×#3449	C₂³	1	2	yes	—
160	C₂²×#535	C₂³	1	2	yes	—
161	C₂²×#535	C₂³	1	2	yes	—
162	C₂²×#525	C₂³	1	2	yes	—
163	C₂²×#525	C₂³	1	2	yes	—
164	C₂²×#525	C₂³	1	2	yes	—
165	C₂×#3428	C₂³	1	2	yes	—
166	C₂²×#518	C₂³	1	2	yes	—
167	#60644	C₂³	1	16	yes	complemented
168	#60469	C₂³	1	8	yes	complemented
169	#60454	C₂³	1	16	yes	complemented
170	#60444	C₂³	1	16	yes	complemented
171	#60426	D₄	1	16	yes	complemented
172	#60426	C₂³	1	16	yes	—
173	#60423	C₂³	1	16	yes	complemented
174	C₂×#3040	D₄	1	8	yes	complemented
175	C₂×#3038	D₄	1	8	yes	complemented
176	#60387	C₂³	1	16	yes	complemented
177	C₂×#3019	C₂³	1	16	yes	complemented
178	C₂×#3019	C₂³	1	16	yes	complemented
179	#60369	D₄	1	16	yes	complemented
180	#60369	C₂³	1	16	yes	—
181	#60367	C₂³	1	16	yes	complemented
182	#60367	C₂³	1	16	yes	complemented
183	C₂×#3010	D₄	1	8	yes	complemented
184	C₂×#3008	D₄	1	8	yes	complemented
185	#60359	C₂³	1	16	yes	complemented
186	C₂×#3003	C₂³	1	16	yes	complemented
187	#60168	C₂³	1	16	yes	complemented
188	#60141	C₂³	1	16	yes	complemented
189	C₂²×#430	C₂³	1	1	yes	characteristic
190	C₂×#2911	C₂³	1	2	yes	—
191	C₂×#2905	C₂³	1	2	yes	—
192	#60093	C₂³	1	16	yes	complemented
193	C₂²×#421	C₂³	1	2	yes	—
194	C₂²×#421	C₂³	1	2	yes	—
195	C₂²×#421	C₂³	1	2	yes	—
196	C₂²×#421	C₂³	1	2	yes	—
197	C₂²×#421	C₂³	1	2	yes	—
198	C₂²×#421	C₂³	1	2	yes	—
199	C₂²×#421	C₂³	1	2	yes	—
200	C₂²×#421	C₂³	1	2	yes	—
201	C₂²×#421	C₂³	1	2	yes	—
202	C₂²×#421	C₂³	1	2	yes	—
203	C₂×#2896	C₂³	1	2	yes	—
204	C₂×#2896	C₂³	1	2	yes	—
205	C₂×#2896	C₂³	1	2	yes	—
206	C₂×#2896	C₂³	1	2	yes	—
207	C₂×#2896	C₂³	1	2	yes	—
208	C₂²×#418	C₂³	1	2	yes	—
209	C₂²×#418	C₂³	1	2	yes	—
210	C₂²×#418	C₂³	1	2	yes	—
211	C₂²×#418	C₂³	1	2	yes	—
212	C₂²×#413	C₂³	1	2	yes	—
213	C₂²×#413	C₂³	1	2	yes	—
214	C₂³×#100	C₂³	1	2	yes	—
215	C₂³×#100	C₂³	1	2	yes	—
216	C₂²×#410	C₂³	1	2	yes	—
217	C₂²×#410	C₂³	1	2	yes	—
218	#60064	C₂³	1	8	yes	complemented
219	C₂×#2879	C₂³	1	1	yes	characteristic
220	C₂×#2879	C₂³	1	2	yes	—
221	C₂×#2879	C₂³	1	1	yes	characteristic
222	C₂×#2879	C₂³	1	2	yes	—
223	C₂×#2879	C₂³	1	2	yes	—
224	C₂²×#407	C₂³	1	2	yes	—
225	C₂²×#407	C₂³	1	1	yes	characteristic
226	C₂²×#407	C₂³	1	1	yes	characteristic
227	C₂²×#407	C₂³	1	1	yes	characteristic
228	C₂×#2873	C₂³	1	2	yes	—
229	C₂×#2280	C₂³	1	1	yes	characteristic
230	#23527	C₂³	1	16	yes	complemented
231	C₂×#2048	C₂³	1	16	yes	complemented
232	#23443	C₂³	1	16	yes	complemented
233	#23439	C₂³	1	16	yes	complemented
234	#23434	C₂³	1	16	yes	complemented
235	#23434	C₂³	1	8	yes	complemented
236	#23414	C₂³	1	8	yes	complemented
237	#23414	C₂³	1	16	yes	complemented
238	#23414	C₂³	1	8	yes	complemented
239	#23414	C₂³	1	16	yes	complemented
240	C₂×#2010	D₄	1	4	yes	complemented
241	C₂×#2010	D₄	1	4	yes	complemented
242	C₂×#2010	D₄	1	8	yes	complemented
243	C₂×#2010	C₂³	1	8	yes	—
244	C₂×#2010	C₂³	1	8	yes	complemented
245	C₂×#2010	C₂³	1	16	yes	complemented
246	C₂×#2010	C₂³	1	8	yes	complemented
247	C₂×#2010	C₂³	1	16	yes	complemented
248	#23412	C₂³	1	16	yes	complemented
249	#23412	C₂³	1	16	yes	complemented
250	#23412	C₂³	1	16	yes	complemented
251	C₂×#2008	C₂³	1	16	yes	complemented
252	#23400	C₂³	1	16	yes	complemented
253	C₂×#1911	C₂³	1	16	yes	complemented
254	C₂×#1911	C₂³	1	16	yes	complemented
255	#21000	C₂³	1	16	yes	complemented
256	C₂×#1904	C₂³	1	16	yes	complemented
257	#20995	C₂³	1	16	yes	complemented
258	#20995	C₂³	1	16	yes	complemented
259	C₂×#1903	C₂³	1	16	yes	complemented
260	C₂×#1903	C₂³	1	16	yes	complemented
261	#20939	C₂³	1	16	yes	complemented
262	#20939	C₂³	1	16	yes	complemented
263	#20867	C₂³	1	16	yes	complemented
264	C₂×#1795	C₂³	1	16	yes	complemented
265	#20620	C₂³	1	16	yes	complemented
266	#20605	C₂³	1	8	yes	complemented
267	#20598	C₂³	1	8	yes	complemented
268	C₂×#1783	C₂³	1	8	yes	complemented
269	C₂²×#344	C₂³	1	2	yes	—
270	C₂²×#344	C₂³	1	2	yes	—
271	C₂²×#344	C₂³	1	2	yes	—
272	C₂²×#344	C₂³	1	2	yes	—
273	C₂²×#344	C₂³	1	2	yes	—
274	C₂²×#344	C₂³	1	2	yes	—
275	C₂×#1740	C₂³	1	2	yes	—
276	C₂×#1738	C₂³	1	2	yes	—
277	C₂×#1733	C₂³	1	2	yes	—
278	C₂²×#338	C₂³	1	2	yes	—
279	C₂²×#338	C₂³	1	2	yes	—
280	C₂²×#338	C₂³	1	1	yes	characteristic
281	#20338	C₂³	1	8	yes	complemented
282	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
283	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
284	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
285	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
286	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
287	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
288	#11245	C₂³	1	16	yes	complemented
289	#11181	C₂³	1	16	yes	complemented
290	#11132	C₂³	1	16	yes	complemented
291	#11132	C₂³	1	16	yes	complemented
292	#11110	C₂³	1	8	yes	complemented
293	#11109	C₂³	1	16	yes	complemented
294	#11101	C₂³	1	8	yes	complemented
295	#11037	C₂³	1	16	yes	complemented
296	#11014	C₂³	1	16	yes	complemented
297	#11014	C₂³	1	16	yes	complemented
298	#11014	C₂³	1	16	yes	complemented
299	#11004	C₂³	1	16	yes	complemented
300	#11003	C₂³	1	16	yes	complemented
301	#11000	C₂³	1	16	yes	complemented
302	#10994	C₂³	1	16	yes	complemented
303	#10993	C₂³	1	16	yes	complemented
304	#10993	C₂³	1	16	yes	complemented
305	#10987	C₂³	1	16	yes	complemented
306	#10950	C₂³	1	16	yes	complemented
307	#10950	C₂³	1	16	yes	complemented
308	#10950	C₂³	1	16	yes	complemented
309	#10890	C₂³	1	16	yes	complemented
310	#10793	C₂³	1	8	yes	complemented
311	#10792	C₂³	1	16	yes	complemented
312	#10785	C₂³	1	16	yes	complemented
313	#10729	C₂³	1	8	yes	complemented
314	C₂²⋊#338	C₂³	1	8	yes	complemented
315	C₂×#585	C₂×D₄	1	8	yes	complemented
316	C₂×#585	C₂⁴	1	8	yes	—
317	C₂²×2₋¹⁺⁴	C₂×D₄	1	4	yes	complemented
318	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	complemented
319	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
320	C₂³×#41	C₂×D₄	1	1	yes	characteristic
321	C₂³×#41	C₂×D₄	1	1	yes	characteristic
322	C₂³×#41	C₂×D₄	1	4	yes	—
323	C₂³×#41	C₂⁴	1	4	yes	—
324	C₂³×#41	C₂⁴	1	2	yes	—
325	C₂³×#41	C₂⁴	1	1	yes	characteristic
326	C₂³×#41	C₂⁴	1	2	yes	—
327	C₂³×#41	C₂⁴	1	1	yes	characteristic
328	C₂³×#41	C₂⁴	1	2	yes	—
329	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
330	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
331	C₂⁴×D₄	C₂×D₄	1	2	yes	—
332	C₂⁴×D₄	C₂×D₄	1	2	yes	—
333	C₂⁴×D₄	C₂×D₄	1	4	yes	—
334	C₂⁴×D₄	C₂⁴	1	4	yes	—
335	C₂⁴×D₄	C₂⁴	1	2	yes	—
336	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
337	C₂×#575	C₂×D₄	1	4	yes	—
338	C₂×#575	C₂×D₄	1	4	yes	—
339	C₂×#575	C₂×D₄	1	8	yes	complemented
340	C₂×#575	C₂⁴	1	8	yes	—
341	C₂×#575	C₂⁴	1	8	yes	—
342	C₂×#575	C₂⁴	1	8	yes	—
343	C₂×#575	C₂⁴	1	8	yes	—
344	C₂×#575	C₂⁴	1	8	yes	—
345	C₂×#575	C₂⁴	1	4	yes	—
346	C₂×#575	C₂⁴	1	4	yes	—
347	C₂×#575	C₂⁴	1	4	yes	—
348	C₂²×#137	C₂×D₄	1	4	yes	complemented
349	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
350	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
351	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
352	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
353	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
354	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
355	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
356	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	16	yes	complemented
357	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	16	yes	complemented
358	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
359	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
360	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
361	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
362	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
363	C₂³×SD₁₆	C₂×D₄	1	4	yes	—
364	C₂³×SD₁₆	C₂×D₄	1	4	yes	—
365	C₂³×SD₁₆	C₂×D₄	1	16	yes	complemented
366	C₂³×SD₁₆	C₂×D₄	1	4	yes	complemented
367	C₂³×D₈	C₂×D₄	1	4	yes	—
368	C₂³×D₈	C₂×D₄	1	4	yes	—
369	C₂³×D₈	C₂×D₄	1	16	yes	complemented
370	C₂³×D₈	C₂×D₄	1	4	yes	complemented
371	C₂×#568	C₂⁴	1	4	yes	—
372	C₂×#568	C₂⁴	1	8	yes	—
373	C₂×#568	C₂⁴	1	4	yes	—
374	C₂³×M₁₆	C₂×D₄	1	2	yes	—
375	C₂³×M₁₆	C₂×D₄	1	4	yes	—
376	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
377	C₂³×M₁₆	C₂⁴	1	2	yes	—
378	C₂³×M₁₆	C₂⁴	1	2	yes	—
379	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
380	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
381	C₂³×M₁₆	C₂⁴	1	2	yes	—
382	C₂³×M₁₆	C₂⁴	1	4	yes	—
383	C₂³×M₁₆	C₂⁴	1	2	yes	—
384	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₈	C₂×D₄	1	2	yes	—
386	#3449	C₂⁴	1	8	yes	—
387	#3449	C₂⁴	1	8	yes	—
388	#3449	C₂⁴	1	8	yes	—
389	C₂×#535	C₂×D₄	1	8	yes	complemented
390	C₂×#535	C₂×D₄	1	8	yes	complemented
391	C₂×#535	C₂×D₄	1	8	yes	complemented
392	C₂×#535	C₂⁴	1	8	yes	—
393	C₂×#535	C₂⁴	1	8	yes	—
394	C₂²×#127	C₂×D₄	1	4	yes	complemented
395	C₂²×#124	C₂×D₄	1	4	yes	complemented
396	C₂×#525	C₂×D₄	1	8	yes	—
397	C₂×#525	C₂×D₄	1	4	yes	—
398	C₂×#525	C₂×D₄	1	4	yes	—
399	C₂×#525	C₂⁴	1	8	yes	—
400	C₂×#525	C₂⁴	1	8	yes	—
401	C₂×#525	C₂⁴	1	8	yes	—
402	#3428	C₂×D₄	1	8	yes	complemented
403	#3428	C₂⁴	1	8	yes	—
404	C₂×#518	C₂⁴	1	8	yes	—
405	C₂×C₄×#41	C₂×D₄	1	8	yes	complemented
406	C₂²×#117	C₂⁴	1	2	yes	—
407	C₂²×#117	C₂⁴	1	2	yes	—
408	C₂²×#117	C₂⁴	1	2	yes	—
409	C₂²×#117	C₂⁴	1	2	yes	—
410	#3040	C₂×D₄	1	64	yes	complemented
411	#3038	C₂×D₄	1	64	yes	complemented
412	#3010	C₂×D₄	1	64	yes	complemented
413	#3008	C₂×D₄	1	64	yes	complemented
414	C₂×#430	C₂⁴	1	4	yes	—
415	#2911	C₂⁴	1	8	yes	—
416	#2905	C₂×D₄	1	8	yes	complemented
417	#2905	C₂⁴	1	8	yes	—
418	C₂×#423	C₂×D₄	1	8	yes	complemented
419	C₂×#421	C₂×D₄	1	8	yes	—
420	C₂×#421	C₂×D₄	1	8	yes	—
421	C₂×#421	C₂⁴	1	8	yes	—
422	C₂×#421	C₂⁴	1	8	yes	—
423	C₂×#421	C₂⁴	1	8	yes	—
424	C₂×#421	C₂⁴	1	8	yes	—
425	C₂×#421	C₂⁴	1	8	yes	—
426	C₂×#421	C₂⁴	1	8	yes	—
427	C₂×#421	C₂⁴	1	8	yes	—
428	C₂×#421	C₂⁴	1	8	yes	—
429	C₂×#421	C₂⁴	1	8	yes	—
430	C₂×#421	C₂⁴	1	8	yes	—
431	#2896	C₂×D₄	1	8	yes	complemented
432	#2896	C₂×D₄	1	8	yes	complemented
433	#2896	C₂×D₄	1	8	yes	complemented
434	#2896	C₂⁴	1	8	yes	—
435	#2896	C₂⁴	1	8	yes	—
436	#2896	C₂⁴	1	8	yes	—
437	#2896	C₂⁴	1	8	yes	—
438	#2896	C₂⁴	1	8	yes	—
439	C₂×#419	C₂×D₄	1	4	yes	complemented
440	C₂×#419	C₂×D₄	1	4	yes	complemented
441	C₂×#418	C₂×D₄	1	4	yes	complemented
442	C₂×#418	C₂×D₄	1	4	yes	complemented
443	C₂×#418	C₂×D₄	1	8	yes	complemented
444	C₂×#418	C₂×D₄	1	8	yes	complemented
445	C₂×#418	C₂⁴	1	8	yes	—
446	C₂×#418	C₂⁴	1	8	yes	—
447	C₂×#418	C₂⁴	1	8	yes	—
448	C₂×#418	C₂⁴	1	8	yes	—
449	C₂×#416	C₂×D₄	1	8	yes	complemented
450	C₂×#413	C₂⁴	1	8	yes	—
451	C₂×#413	C₂⁴	1	8	yes	—
452	C₂²×#100	C₂⁴	1	8	yes	—
453	C₂²×#100	C₂⁴	1	8	yes	—
454	C₂×#410	C₂⁴	1	8	yes	—
455	C₂×#410	C₂⁴	1	8	yes	—
456	#2879	C₂×D₄	1	8	yes	complemented
457	#2879	C₂⁴	1	4	yes	—
458	#2879	C₂⁴	1	8	yes	—
459	#2879	C₂⁴	1	4	yes	—
460	#2879	C₂⁴	1	8	yes	—
461	#2879	C₂⁴	1	8	yes	—
462	C₂×#408	C₂×D₄	1	8	yes	complemented
463	C₂×#407	C₂×D₄	1	2	yes	—
464	C₂×#407	C₂×D₄	1	2	yes	—
465	C₂×#407	C₂×D₄	1	4	yes	—
466	C₂×#407	C₂⁴	1	8	yes	—
467	C₂×#407	C₂⁴	1	4	yes	—
468	C₂×#407	C₂⁴	1	4	yes	—
469	C₂×#407	C₂⁴	1	4	yes	—
470	#2873	C₂⁴	1	8	yes	—
471	#2280	C₂⁴	1	4	yes	—
472	#2010	C₂×D₄	1	32	yes	complemented
473	#2010	C₂×D₄	1	32	yes	complemented
474	C₂×#344	C₂⁴	1	8	yes	—
475	C₂×#344	C₂⁴	1	8	yes	—
476	C₂×#344	C₂⁴	1	8	yes	—
477	C₂×#344	C₂⁴	1	8	yes	—
478	C₂×#344	C₂⁴	1	8	yes	—
479	C₂×#344	C₂⁴	1	8	yes	—
480	#1740	C₂⁴	1	8	yes	—
481	#1738	C₂⁴	1	8	yes	—
482	#1733	C₂⁴	1	8	yes	—
483	C₂×#338	C₂⁴	1	8	yes	—
484	C₂×#338	C₂⁴	1	8	yes	—
485	C₂×#338	C₂⁴	1	4	yes	—
486	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
487	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
488	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
489	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
490	C₂×H(3,ℤ/4)	C₂⁴	1	4	yes	—
491	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
492	C₂×H(3,ℤ/4)	C₂⁴	1	4	yes	—
493	C₂×H(3,ℤ/4)	C₂⁴	1	4	yes	—
494	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
495	C₂×2₋¹⁺⁴	C₂²×D₄	1	16	yes	complemented
496	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	complemented
497	C₂²×#41	C₂²×D₄	1	4	yes	—
498	C₂²×#41	C₂²×D₄	1	4	yes	—
499	C₂²×#41	C₂²×D₄	1	4	yes	—
500	C₂²×#41	C₂²×D₄	1	4	yes	—
501	C₂²×#41	C₂²×D₄	1	4	yes	—
502	C₂²×#41	C₂²×D₄	1	4	yes	—
503	C₂²×#41	C₂²×D₄	1	4	yes	—
504	C₂²×#41	C₂²×D₄	1	4	yes	—
505	C₂²×#41	C₂²×D₄	1	2	yes	—
506	C₂²×#41	C₂²×D₄	1	4	yes	—
507	C₂²×#41	C₂²×D₄	1	4	yes	—
508	C₂²×#41	C₂²×D₄	1	4	yes	—
509	C₂²×#41	C₂²×D₄	1	4	yes	—
510	C₂²×#41	C₂²×D₄	1	2	yes	—
511	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
512	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
513	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
514	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
515	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
516	C₂²×#41	C₂⁵	1	2	yes	—
517	C₂²×#41	C₂⁵	1	4	yes	—
518	C₂²×#41	C₂⁵	1	4	yes	—
519	C₂²×#41	C₂⁵	1	2	yes	—
520	C₂²×#41	C₂⁵	1	4	yes	—
521	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
522	C₂³×Q₈	C₂²×D₄	1	2	yes	—
523	C₂³×Q₈	C₂²×D₄	1	2	yes	—
524	C₂³×Q₈	C₂²×D₄	1	4	yes	—
525	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
526	C₂³×Q₈	H(5,𝔽₂)	1	2	yes	—
527	C₂³×D₄	C₂²×D₄	1	2	yes	—
528	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
529	C₂³×D₄	C₂²×D₄	1	2	yes	—
530	C₂³×D₄	C₂²×D₄	1	4	yes	—
531	C₂³×D₄	C₂²×D₄	1	4	yes	—
532	C₂³×D₄	C₂²×D₄	1	4	yes	—
533	C₂³×D₄	C₂²×D₄	1	4	yes	—
534	C₂³×D₄	C₂²×D₄	1	4	yes	—
535	C₂³×D₄	C₂²×D₄	1	4	yes	—
536	C₂³×D₄	C₂²×D₄	1	4	yes	—
537	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
538	C₂³×D₄	C₂²×D₄	1	8	yes	—
539	C₂³×D₄	C₂²×D₄	1	8	yes	—
540	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
541	C₂³×D₄	C₂⁵	1	4	yes	—
542	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
543	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
544	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
545	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
546	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
547	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
548	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
549	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
550	C₂⁴×C₄	C₂⁵	1	2	yes	—
551	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
552	#575	C₂²×D₄	1	16	yes	—
553	C₂×#137	C₂²×D₄	1	16	yes	complemented
554	C₂×AGL(1,ℤ/8)	#120	1	32	yes	—
555	C₂×AGL(1,ℤ/8)	#120	1	32	yes	—
556	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
557	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
558	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	complemented
559	C₂²×SD₁₆	#120	1	16	yes	—
560	C₂²×SD₁₆	#120	1	16	yes	—
561	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
562	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
563	C₂²×SD₁₆	C₂²×D₄	1	16	yes	complemented
564	C₂²×D₈	#120	1	16	yes	—
565	C₂²×D₈	#120	1	16	yes	—
566	C₂²×D₈	C₂²×D₄	1	16	yes	—
567	C₂²×D₈	C₂²×D₄	1	16	yes	—
568	C₂²×D₈	C₂²×D₄	1	16	yes	complemented
569	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
570	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
571	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
572	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
573	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
574	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
575	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
576	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
577	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
578	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
579	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
580	C₂²×M₁₆	C₂²×D₄	1	8	yes	—
581	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
582	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
583	C₂²×M₁₆	C₂⁵	1	4	yes	—
584	C₂²×M₁₆	C₂⁵	1	2	yes	—
585	C₂²×M₁₆	C₂⁵	1	2	yes	—
586	C₂²×M₁₆	C₂⁵	1	2	yes	—
587	C₂²×M₁₆	C₂⁵	1	4	yes	—
588	C₂²×M₁₆	C₂⁵	1	4	yes	—
589	C₂²×M₁₆	C₂⁵	1	4	yes	—
590	C₂²×M₁₆	C₂⁵	1	2	yes	—
591	C₂³×C₈	C₂²×D₄	1	4	yes	—
592	C₂³×C₈	C₂²×D₄	1	8	yes	—
593	C₂³×C₈	C₂²×D₄	1	4	yes	—
594	C₂³×C₈	H(5,𝔽₂)	1	2	yes	—
595	#535	C₂²×D₄	1	32	yes	complemented
596	C₂×#127	C₂²×D₄	1	16	yes	complemented
597	C₂×#124	C₂²×D₄	1	16	yes	complemented
598	#525	C₂²×D₄	1	16	yes	—
599	#525	C₂²×D₄	1	16	yes	—
600	C₄×#41	C₂²×D₄	1	32	yes	complemented
601	C₂×#117	C₂²×D₄	1	4	yes	—
602	C₂×#117	C₂²×D₄	1	4	yes	—
603	C₂×#117	C₂²×D₄	1	4	yes	—
604	C₂×#117	C₂²×D₄	1	4	yes	—
605	C₂×#117	C₂²×D₄	1	4	yes	—
606	C₂×#117	C₂²×D₄	1	4	yes	—
607	C₂×#117	C₂²×D₄	1	4	yes	—
608	C₂×#117	H(5,𝔽₂)	1	4	yes	—
609	C₂×#117	H(5,𝔽₂)	1	4	yes	—
610	C₂×#117	C₂⁵	1	4	yes	—
611	C₂×#117	C₂⁵	1	4	yes	—
612	C₂×#117	C₂⁵	1	4	yes	—
613	C₂×#117	C₂⁵	1	4	yes	—
614	C₂²×C₄²	C₂²×D₄	1	4	yes	—
615	#423	C₂²×D₄	1	32	yes	complemented
616	#421	C₂²×D₄	1	32	yes	—
617	#419	C₂²×D₄	1	16	yes	complemented
618	#419	C₂²×D₄	1	16	yes	complemented
619	#418	C₂²×D₄	1	32	yes	complemented
620	#418	C₂²×D₄	1	16	yes	complemented
621	#418	C₂²×D₄	1	16	yes	complemented
622	#416	C₂²×D₄	1	32	yes	complemented
623	#408	C₂²×D₄	1	32	yes	complemented
624	#407	C₂²×D₄	1	8	yes	—
625	#407	C₂²×D₄	1	8	yes	—
626	H(3,ℤ/4)	C₂²×D₄	1	16	yes	—
627	C₂⁵	D₄²	1	1	yes	characteristic
628	C₂⁵	D₄²	1	1	yes	characteristic
629	C₂⁵	D₄²	1	2	yes	—
630	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
631	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
632	C₂×#41	C₂×#120	1	8	yes	—
633	C₂×#41	C₂×#120	1	8	yes	—
634	C₂×#41	#534	1	4	yes	—
635	C₂×#41	#534	1	4	yes	—
636	C₂×#41	D₄²	1	4	yes	—
637	C₂×#41	D₄²	1	4	yes	—
638	C₂×#41	D₄²	1	4	yes	—
639	C₂×#41	D₄²	1	4	yes	—
640	C₂×#41	D₄²	1	8	yes	—
641	C₂×#41	D₄²	1	8	yes	—
642	C₂×#41	D₄²	1	8	yes	—
643	C₂×#41	D₄²	1	8	yes	—
644	C₂×#41	D₄²	1	8	yes	—
645	C₂×#41	D₄²	1	8	yes	—
646	C₂×#41	D₄²	1	8	yes	—
647	C₂×#41	D₄²	1	8	yes	—
648	C₂×#41	C₂³×D₄	1	8	yes	—
649	C₂×#41	C₂³×D₄	1	8	yes	—
650	C₂×#41	C₂³×D₄	1	8	yes	—
651	C₂×#41	C₂³×D₄	1	8	yes	—
652	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
653	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
654	C₂²×Q₈	C₂×#120	1	4	yes	—
655	C₂²×Q₈	C₂×#120	1	4	yes	—
656	C₂²×Q₈	#534	1	2	yes	—
657	C₂²×Q₈	#534	1	2	yes	—
658	C₂²×Q₈	D₄²	1	4	yes	—
659	C₂²×Q₈	D₄²	1	4	yes	—
660	C₂²×Q₈	C₂³×D₄	1	4	yes	—
661	C₂²×Q₈	C₂³×D₄	1	4	yes	—
662	C₂²×Q₈	C₂³×D₄	1	2	yes	—
663	C₂²×Q₈	C₂³×D₄	1	2	yes	—
664	C₂²×Q₈	C₂×H(5,𝔽₂)	1	4	yes	—
665	C₂²×D₄	C₂×#120	1	8	yes	—
666	C₂²×D₄	C₂×#120	1	8	yes	—
667	C₂²×D₄	C₂×#120	1	8	yes	—
668	C₂²×D₄	C₂×#120	1	8	yes	—
669	C₂²×D₄	C₂×#120	1	4	yes	—
670	C₂²×D₄	C₂×#120	1	4	yes	—
671	C₂²×D₄	#534	1	2	yes	—
672	C₂²×D₄	#534	1	2	yes	—
673	C₂²×D₄	D₄²	1	4	yes	—
674	C₂²×D₄	D₄²	1	4	yes	—
675	C₂²×D₄	C₂³×D₄	1	4	yes	—
676	C₂²×D₄	C₂³×D₄	1	4	yes	—
677	C₂²×D₄	C₂³×D₄	1	2	yes	—
678	C₂²×D₄	C₂³×D₄	1	8	yes	—
679	C₂²×D₄	C₂³×D₄	1	8	yes	—
680	C₂²×D₄	C₂³×D₄	1	8	yes	—
681	C₂²×D₄	C₂³×D₄	1	2	yes	—
682	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
683	C₂³×C₄	D₄²	1	1	yes	characteristic
684	C₂³×C₄	D₄²	1	1	yes	characteristic
685	C₂³×C₄	D₄²	1	2	yes	—
686	C₂³×C₄	D₄²	1	2	yes	—
687	C₂³×C₄	D₄²	1	2	yes	—
688	C₂³×C₄	D₄²	1	2	yes	—
689	C₂³×C₄	D₄²	1	2	yes	—
690	C₂³×C₄	C₂³×D₄	1	2	yes	—
691	C₂³×C₄	C₂³×D₄	1	2	yes	—
692	C₂³×C₄	C₂³×D₄	1	2	yes	—
693	C₂³×C₄	C₂³×D₄	1	2	yes	—
694	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
695	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
696	C₂³×C₄	C₂³×D₄	1	2	yes	—
697	C₂³×C₄	C₂³×D₄	1	2	yes	—
698	C₂³×C₄	C₂³×D₄	1	2	yes	—
699	C₂³×C₄	C₂³×D₄	1	2	yes	—
700	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
701	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
702	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
703	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
704	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
705	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
706	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
707	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
708	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
709	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
710	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
711	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
712	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
713	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
714	C₂³×C₄	#585	1	1	yes	characteristic
715	C₂³×C₄	#585	1	1	yes	characteristic
716	C₂³×C₄	C₂⁶	1	1	yes	characteristic
717	C₂×SD₁₆	C₂×#120	1	64	yes	—
718	C₂×D₈	C₂×#120	1	64	yes	—
719	C₂×M₁₆	C₂×#120	1	8	yes	—
720	C₂×M₁₆	C₂×#120	1	8	yes	—
721	C₂×M₁₆	C₂³×D₄	1	8	yes	—
722	C₂×M₁₆	C₂³×D₄	1	4	yes	—
723	C₂×M₁₆	C₂³×D₄	1	4	yes	—
724	C₂×M₁₆	C₂³×D₄	1	8	yes	—
725	C₂×M₁₆	C₂³×D₄	1	8	yes	—
726	C₂²×C₈	C₂×#120	1	8	yes	—
727	C₂²×C₈	C₂×#120	1	8	yes	—
728	C₂²×C₈	C₂³×D₄	1	8	yes	—
729	C₂²×C₈	C₂³×D₄	1	8	yes	—
730	C₂²×C₈	C₂×H(5,𝔽₂)	1	4	yes	—
731	#117	D₄²	1	8	yes	—
732	#117	D₄²	1	8	yes	—
733	#117	C₂³×D₄	1	8	yes	—
734	#117	C₂³×D₄	1	8	yes	—
735	#117	C₂³×D₄	1	8	yes	—
736	#117	C₂×H(5,𝔽₂)	1	8	yes	—
737	C₂×C₄²	D₄²	1	8	yes	—
738	C₂×C₄²	D₄²	1	8	yes	—
739	C₂×C₄²	C₂³×D₄	1	8	yes	—
740	C₂⁴	C₂×D₄²	1	2	yes	—
741	C₂⁴	C₂×D₄²	1	2	yes	—
742	C₂⁴	C₂×D₄²	1	1	yes	characteristic
743	C₂⁴	C₂×D₄²	1	1	yes	characteristic
744	C₂⁴	#3484	1	2	yes	—
745	C₂⁴	#3484	1	2	yes	—
746	C₂⁴	#3484	1	2	yes	—
747	C₂⁴	#3484	1	2	yes	—
748	C₂⁴	#3534	1	1	yes	characteristic
749	C₂⁴	#3534	1	1	yes	characteristic
750	C₂⁴	#3537	1	1	yes	characteristic
751	C₂⁴	#3537	1	1	yes	characteristic
752	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
753	#41	#2403	1	8	yes	—
754	#41	#2403	1	16	yes	—
755	#41	#2403	1	8	yes	—
756	#41	C₂×D₄²	1	16	yes	—
757	#41	C₂×D₄²	1	8	yes	—
758	#41	C₂×D₄²	1	8	yes	—
759	C₂×Q₈	#2403	1	4	yes	—
760	C₂×Q₈	#2403	1	8	yes	—
761	C₂×Q₈	#2403	1	4	yes	—
762	C₂×Q₈	C₂²×#120	1	8	yes	—
763	C₂×Q₈	C₂×#534	1	4	yes	—
764	C₂×Q₈	C₂×D₄²	1	8	yes	—
765	C₂×D₄	#2403	1	4	yes	—
766	C₂×D₄	#2403	1	8	yes	—
767	C₂×D₄	#2403	1	4	yes	—
768	C₂×D₄	C₂²×#120	1	16	yes	—
769	C₂×D₄	C₂²×#120	1	8	yes	—
770	C₂×D₄	C₂×#534	1	4	yes	—
771	C₂×D₄	C₂×D₄²	1	8	yes	—
772	C₂²×C₄	C₂²×#120	1	2	yes	—
773	C₂²×C₄	C₂²×#120	1	2	yes	—
774	C₂²×C₄	C₂²×#120	1	2	yes	—
775	C₂²×C₄	C₂²×#120	1	2	yes	—
776	C₂²×C₄	C₂×#534	1	1	yes	characteristic
777	C₂²×C₄	C₂×#534	1	1	yes	characteristic
778	C₂²×C₄	C₂×#534	1	1	yes	characteristic
779	C₂²×C₄	C₂×#534	1	1	yes	characteristic
780	C₂²×C₄	C₂×D₄²	1	2	yes	—
781	C₂²×C₄	C₂×D₄²	1	2	yes	—
782	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
783	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
784	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
785	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
786	C₂²×C₄	C₂×D₄²	1	2	yes	—
787	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
788	C₂²×C₄	C₂×D₄²	1	2	yes	—
789	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
790	C₂²×C₄	C₂×D₄²	1	2	yes	—
791	C₂²×C₄	C₂×D₄²	1	2	yes	—
792	C₂²×C₄	C₂×D₄²	1	2	yes	—
793	C₂²×C₄	C₂×D₄²	1	2	yes	—
794	C₂²×C₄	C₂×D₄²	1	2	yes	—
795	C₂²×C₄	C₂×D₄²	1	2	yes	—
796	C₂²×C₄	C₂×D₄²	1	2	yes	—
797	C₂²×C₄	C₂×D₄²	1	2	yes	—
798	C₂²×C₄	C₂×D₄²	1	2	yes	—
799	C₂²×C₄	C₂×D₄²	1	2	yes	—
800	C₂²×C₄	C₂×D₄²	1	2	yes	—
801	C₂²×C₄	C₂×D₄²	1	2	yes	—
802	C₂²×C₄	#3484	1	1	yes	characteristic
803	C₂²×C₄	#3484	1	1	yes	characteristic
804	C₂²×C₄	#3484	1	1	yes	characteristic
805	C₂²×C₄	#3484	1	1	yes	characteristic
806	C₂²×C₄	#3484	1	2	yes	—
807	C₂²×C₄	#3484	1	2	yes	—
808	C₂²×C₄	#3484	1	2	yes	—
809	C₂²×C₄	#3484	1	2	yes	—
810	C₂²×C₄	#3484	1	2	yes	—
811	C₂²×C₄	#3484	1	2	yes	—
812	C₂²×C₄	#3484	1	2	yes	—
813	C₂²×C₄	#3484	1	2	yes	—
814	C₂²×C₄	#3484	1	2	yes	—
815	C₂²×C₄	#3484	1	2	yes	—
816	C₂²×C₄	#3484	1	2	yes	—
817	C₂²×C₄	#3484	1	2	yes	—
818	C₂²×C₄	#3488	1	1	yes	characteristic
819	C₂²×C₄	#3488	1	1	yes	characteristic
820	C₂²×C₄	#3488	1	1	yes	characteristic
821	C₂²×C₄	#3488	1	1	yes	characteristic
822	C₂²×C₄	#3488	1	2	yes	—
823	C₂²×C₄	#3488	1	2	yes	—
824	C₂²×C₄	#3488	1	2	yes	—
825	C₂²×C₄	#3488	1	2	yes	—
826	C₂²×C₄	#3496	1	1	yes	characteristic
827	C₂²×C₄	#3496	1	1	yes	characteristic
828	C₂²×C₄	#3496	1	1	yes	characteristic
829	C₂²×C₄	#3496	1	1	yes	characteristic
830	C₂²×C₄	#3496	1	2	yes	—
831	C₂²×C₄	#3496	1	2	yes	—
832	C₂²×C₄	#3496	1	2	yes	—
833	C₂²×C₄	#3496	1	2	yes	—
834	C₂²×C₄	#3498	1	2	yes	—
835	C₂²×C₄	#3498	1	2	yes	—
836	C₂²×C₄	#3498	1	2	yes	—
837	C₂²×C₄	#3498	1	2	yes	—
838	C₂²×C₄	#3532	1	1	yes	characteristic
839	C₂²×C₄	#3532	1	1	yes	characteristic
840	C₂²×C₄	#3532	1	2	yes	—
841	C₂²×C₄	#3534	1	1	yes	characteristic
842	C₂²×C₄	#3534	1	1	yes	characteristic
843	C₂²×C₄	#3537	1	2	yes	—
844	C₂²×C₄	#3537	1	2	yes	—
845	C₂²×C₄	#3537	1	2	yes	—
846	C₂²×C₄	#3537	1	2	yes	—
847	C₂²×C₄	#3537	1	1	yes	characteristic
848	C₂²×C₄	#3537	1	1	yes	characteristic
849	C₂²×C₄	#3543	1	1	yes	characteristic
850	C₂²×C₄	#3543	1	1	yes	characteristic
851	C₂²×C₄	#3543	1	2	yes	—
852	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
854	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
856	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
857	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
858	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
859	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
860	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
861	C₂²×C₄	C₂×#585	1	1	yes	characteristic
862	C₂×C₈	C₂²×#120	1	16	yes	—
863	C₄²	C₂×D₄²	1	16	yes	—
864	C₂³	D₄×#120	1	2	yes	—
865	C₂³	D₄×#120	1	2	yes	—
866	C₂³	D₄×#120	1	2	yes	—
867	C₂³	D₄×#120	1	2	yes	—
868	C₂³	#37672	1	1	yes	characteristic
869	C₂³	#37672	1	1	yes	characteristic
870	C₂³	#37672	1	1	yes	characteristic
871	C₂³	#37672	1	1	yes	characteristic
872	C₂³	#42996	1	1	yes	characteristic
873	C₂³	#42996	1	2	yes	—
874	C₂³	#42996	1	1	yes	characteristic
875	C₂³	#43001	1	2	yes	—
876	C₂³	#43001	1	2	yes	—
877	C₂³	#43001	1	2	yes	—
878	C₂³	#43001	1	2	yes	—
879	C₂³	#43098	1	1	yes	characteristic
880	C₂³	#43098	1	2	yes	—
881	C₂³	#43098	1	1	yes	characteristic
882	C₂³	C₂²×D₄²	1	1	yes	characteristic
883	C₂³	C₂×#3534	1	1	yes	characteristic
884	C₂³	C₂×#3537	1	1	yes	characteristic
885	C₂³	C₂×#3484	1	2	yes	—
886	C₂³	C₂×#3484	1	2	yes	—
887	Q₈	C₂×#2403	1	8	yes	—
888	D₄	C₂×#2403	1	8	yes	—
889	C₂×C₄	C₂×#2403	1	2	yes	—
890	C₂×C₄	C₂×#2403	1	1	yes	characteristic
891	C₂×C₄	C₂×#2403	1	1	yes	characteristic
892	C₂×C₄	C₂×#2403	1	2	yes	—
893	C₂×C₄	C₂×#2403	1	1	yes	characteristic
894	C₂×C₄	C₂×#2403	1	1	yes	characteristic
895	C₂×C₄	#35680	1	2	yes	—
896	C₂×C₄	#35680	1	2	yes	—
897	C₂×C₄	#35680	1	2	yes	—
898	C₂×C₄	#35680	1	2	yes	—
899	C₂×C₄	#35680	1	2	yes	—
900	C₂×C₄	#35680	1	2	yes	—
901	C₂×C₄	#35680	1	2	yes	—
902	C₂×C₄	#35680	1	2	yes	—
903	C₂×C₄	D₄×#120	1	2	yes	—
904	C₂×C₄	D₄×#120	1	2	yes	—
905	C₂×C₄	D₄×#120	1	2	yes	—
906	C₂×C₄	D₄×#120	1	2	yes	—
907	C₂×C₄	#37672	1	1	yes	characteristic
908	C₂×C₄	#37672	1	1	yes	characteristic
909	C₂×C₄	#37672	1	1	yes	characteristic
910	C₂×C₄	#37672	1	1	yes	characteristic
911	C₂×C₄	#40584	1	2	yes	—
912	C₂×C₄	#40584	1	1	yes	characteristic
913	C₂×C₄	#40584	1	2	yes	—
914	C₂×C₄	#40584	1	1	yes	characteristic
915	C₂×C₄	#40584	1	1	yes	characteristic
916	C₂×C₄	#40584	1	1	yes	characteristic
917	C₂×C₄	#42996	1	1	yes	characteristic
918	C₂×C₄	#42996	1	2	yes	—
919	C₂×C₄	#42996	1	1	yes	characteristic
920	C₂×C₄	#43001	1	2	yes	—
921	C₂×C₄	#43001	1	2	yes	—
922	C₂×C₄	#43001	1	2	yes	—
923	C₂×C₄	#43001	1	2	yes	—
924	C₂×C₄	#43098	1	1	yes	characteristic
925	C₂×C₄	#43098	1	2	yes	—
926	C₂×C₄	#43098	1	1	yes	characteristic
927	C₂×C₄	#58990	1	1	yes	characteristic
928	C₂×C₄	#58990	1	1	yes	characteristic
929	C₂×C₄	#58990	1	2	yes	—
930	C₂×C₄	#58990	1	1	yes	characteristic
931	C₂×C₄	#58990	1	2	yes	—
932	C₂×C₄	#58990	1	1	yes	characteristic
933	C₂×C₄	#58997	1	2	yes	—
934	C₂×C₄	#58997	1	2	yes	—
935	C₂×C₄	#58997	1	2	yes	—
936	C₂×C₄	#58997	1	2	yes	—
937	C₂×C₄	#58997	1	2	yes	—
938	C₂×C₄	#58997	1	2	yes	—
939	C₂×C₄	#58997	1	2	yes	—
940	C₂×C₄	#58997	1	2	yes	—
941	C₂×C₄	#59126	1	1	yes	characteristic
942	C₂×C₄	#59126	1	1	yes	characteristic
943	C₂×C₄	#59126	1	1	yes	characteristic
944	C₂×C₄	#59126	1	2	yes	—
945	C₂×C₄	#59126	1	2	yes	—
946	C₂×C₄	#59126	1	1	yes	characteristic
947	C₂×C₄	C₂³×#120	1	2	yes	—
948	C₂×C₄	C₂²×#534	1	1	yes	characteristic
949	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
950	C₂×C₄	C₂²×D₄²	1	2	yes	—
951	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
952	C₂×C₄	C₂²×D₄²	1	2	yes	—
953	C₂×C₄	C₂²×D₄²	1	2	yes	—
954	C₂×C₄	C₂×#3532	1	1	yes	characteristic
955	C₂×C₄	C₂×#3537	1	2	yes	—
956	C₂×C₄	C₂×#3543	1	1	yes	characteristic
957	C₂×C₄	C₂×#3484	1	1	yes	characteristic
958	C₂×C₄	C₂×#3484	1	2	yes	—
959	C₂×C₄	C₂×#3484	1	2	yes	—
960	C₂×C₄	C₂×#3496	1	1	yes	characteristic
961	C₂×C₄	C₂×#3496	1	2	yes	—
962	C₂×C₄	C₂×#3488	1	2	yes	—
963	C₂×C₄	C₂×#3488	1	1	yes	characteristic
964	C₂×C₄	C₂×#3498	1	2	yes	—
965	C₂²	#772778	1	2	yes	—
966	C₂²	#772778	1	1	yes	characteristic
967	C₂²	#772778	1	1	yes	characteristic
968	C₂²	#772778	1	2	yes	—
969	C₂²	#772778	1	1	yes	characteristic
970	C₂²	#772778	1	1	yes	characteristic
971	C₂²	C₂×D₄×#120	1	2	yes	—
972	C₂²	C₂×#37672	1	1	yes	characteristic
973	C₂²	C₂×#42996	1	1	yes	characteristic
974	C₂²	C₂×#43001	1	2	yes	—
975	C₂²	C₂×#43098	1	1	yes	characteristic
976	C₄	#772778	1	1	yes	characteristic
977	C₄	#772778	1	2	yes	—
978	C₄	#772778	1	1	yes	characteristic
979	C₄	#772778	1	1	yes	characteristic
980	C₄	#772778	1	2	yes	—
981	C₄	#772778	1	1	yes	characteristic
982	C₄	C₂²×#2403	1	1	yes	characteristic
983	C₄	C₂×#35680	1	2	yes	—
984	C₄	C₂×#40584	1	1	yes	characteristic
985	C₄	C₂×#58990	1	1	yes	characteristic
986	C₄	C₂×#58997	1	2	yes	—
987	C₄	C₂×#59126	1	1	yes	characteristic
988	C₂	#72216123	1	2	yes	direct product factor
989	C₂	C₂×#772778	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#772778
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×#417628	C₂	semidirect
2. C₂×#375780	C₂	semidirect
3. C₂×#418531	C₂	semidirect
4. C₂×#395193	C₂	semidirect
5. C₂×#6437950	C₂	semidirect
6. C₂×#422903	C₂	semidirect
7. C₂×#394295	C₂	semidirect
8. C₂×#417790	C₂	semidirect
9. C₂×#454002	C₂	semidirect
10. C₂×#364600	C₂	semidirect
11. C₂×#6431743	C₂	semidirect
12. C₂×#454389	C₂	semidirect
13. C₂×#6437593	C₂	semidirect
14. C₂×#359476	C₂	semidirect
15. C₂×#368855	C₂	semidirect
16. C₂×#10576108	C₂	semidirect
17. C₂²×#23897	C₂	semidirect
18. C₂×#394102	C₂	semidirect
19. C₂×#394108	C₂	semidirect
20. #72216123	C₂	direct (N × H)
21. C₂×#63090	C₂²	semidirect
22. C₂²×#3585	C₂²	semidirect
24. C₂×#62811	C₂²	semidirect
25. C₂²×#3484	C₂²	semidirect
26. #10576108	C₂²	semidirect
27. C₂×#60644	C₂²	semidirect
29. C₂×#60423	C₂²	semidirect
30. C₂×#60454	C₂²	semidirect
31. C₂×#60469	C₂²	semidirect
32. C₂×#60444	C₂²	semidirect
34. C₂×#60367	C₂²	semidirect
35. C₂×#60367	C₂²	semidirect
36. C₂×#60387	C₂²	semidirect
37. C₂×#60359	C₂²	semidirect
38. C₂²×#3019	C₂²	semidirect
39. C₂²×#3019	C₂²	semidirect
40. C₂²×#3003	C₂²	semidirect
41. C₂×#60141	C₂²	semidirect
42. C₂×#60168	C₂²	semidirect
43. C₂×#60064	C₂²	semidirect
44. C₂×#60093	C₂²	semidirect
45. #6437950	C₂²	semidirect
46. #6437593	C₂²	semidirect
47. C₂×#23897	C₂²	semidirect
48. C₂×#23527	C₂²	semidirect
49. C₂²×#2048	C₂²	semidirect
50. C₂×#23443	C₂²	semidirect
51. C₂×#23439	C₂²	semidirect
52. C₂×#23434	C₂²	semidirect
53. C₂×#23434	C₂²	semidirect
54. #6431743	C₂²	semidirect
55. C₂×#23414	C₂²	semidirect
56. C₂×#23414	C₂²	semidirect
57. C₂×#23414	C₂²	semidirect
58. C₂×#23414	C₂²	semidirect
60. C₂²×#2010	C₂²	semidirect
61. C₂²×#2010	C₂²	semidirect
62. C₂²×#2010	C₂²	semidirect
63. C₂²×#2010	C₂²	semidirect
64. C₂×#23412	C₂²	semidirect
65. C₂×#23412	C₂²	semidirect
66. C₂×#23412	C₂²	semidirect
67. C₂²×#2008	C₂²	semidirect
68. C₂×#23400	C₂²	semidirect
69. C₂²×#1911	C₂²	semidirect
70. C₂²×#1911	C₂²	semidirect
71. C₂×#21000	C₂²	semidirect
72. C₂²×#1904	C₂²	semidirect
73. C₂×#20995	C₂²	semidirect
74. C₂×#20995	C₂²	semidirect
75. C₂²×#1903	C₂²	semidirect
76. C₂²×#1903	C₂²	semidirect
77. C₂×#20939	C₂²	semidirect
78. C₂×#20939	C₂²	semidirect
79. C₂×#20867	C₂²	semidirect
80. C₂²×#1795	C₂²	semidirect
81. C₂×#20620	C₂²	semidirect
82. C₂×#20605	C₂²	semidirect
83. C₂×#20598	C₂²	semidirect
84. C₂²×#1783	C₂²	semidirect
85. C₂×#20338	C₂²	semidirect
86. #454389	C₂²	semidirect
87. #454002	C₂²	semidirect
88. #422903	C₂²	semidirect
89. #418531	C₂²	semidirect
90. #417790	C₂²	semidirect
91. #417628	C₂²	semidirect
92. #395193	C₂²	semidirect
93. #394295	C₂²	semidirect
94. #394108	C₂²	semidirect
95. #394102	C₂²	semidirect
96. #375780	C₂²	semidirect
97. #368855	C₂²	semidirect
98. #364600	C₂²	semidirect
99. #359476	C₂²	semidirect
100. C₂×#11245	C₂²	semidirect
101. C₂×#11181	C₂²	semidirect
102. C₂×#11132	C₂²	semidirect
103. C₂×#11132	C₂²	semidirect
104. C₂×#11110	C₂²	semidirect
105. C₂×#11109	C₂²	semidirect
106. C₂×#11101	C₂²	semidirect
107. C₂×#11037	C₂²	semidirect
108. C₂×#11014	C₂²	semidirect
109. C₂×#11014	C₂²	semidirect
110. C₂×#11014	C₂²	semidirect
111. C₂×#11004	C₂²	semidirect
112. C₂×#11003	C₂²	semidirect
113. C₂×#11000	C₂²	semidirect
114. C₂×#10994	C₂²	semidirect
115. C₂×#10993	C₂²	semidirect
116. C₂×#10993	C₂²	semidirect
117. C₂×#10987	C₂²	semidirect
118. C₂×#10950	C₂²	semidirect
119. C₂×#10950	C₂²	semidirect
120. C₂×#10950	C₂²	semidirect
121. C₂×#10890	C₂²	semidirect
122. C₂×#10785	C₂²	semidirect
123. C₂×#10793	C₂²	semidirect
124. C₂×#10792	C₂²	semidirect
125. C₂×#10729	C₂²	semidirect
126. C₂×C₂²⋊#338	C₂²	semidirect
131. #63090	C₂³	semidirect
132. C₂×#3585	C₂³	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
149. C₂⁴×SD₁₆	D₄	semidirect
150. C₂⁴×D₈	D₄	semidirect
155. #62811	C₂³	semidirect
156. C₂×#3484	C₂³	semidirect
167. #60644	C₂³	semidirect
168. #60469	C₂³	semidirect
169. #60454	C₂³	semidirect
170. #60444	C₂³	semidirect
171. #60426	D₄	semidirect
173. #60423	C₂³	semidirect
174. C₂×#3040	D₄	semidirect
175. C₂×#3038	D₄	semidirect
176. #60387	C₂³	semidirect
177. C₂×#3019	C₂³	semidirect
178. C₂×#3019	C₂³	semidirect
179. #60369	D₄	semidirect
181. #60367	C₂³	semidirect
182. #60367	C₂³	semidirect
183. C₂×#3010	D₄	semidirect
184. C₂×#3008	D₄	semidirect
185. #60359	C₂³	semidirect
186. C₂×#3003	C₂³	semidirect
187. #60168	C₂³	semidirect
188. #60141	C₂³	semidirect
192. #60093	C₂³	semidirect
218. #60064	C₂³	semidirect
230. #23527	C₂³	semidirect
231. C₂×#2048	C₂³	semidirect
232. #23443	C₂³	semidirect
233. #23439	C₂³	semidirect
234. #23434	C₂³	semidirect
235. #23434	C₂³	semidirect
236. #23414	C₂³	semidirect
237. #23414	C₂³	semidirect
238. #23414	C₂³	semidirect
239. #23414	C₂³	semidirect
240. C₂×#2010	D₄	semidirect
241. C₂×#2010	D₄	semidirect
242. C₂×#2010	D₄	semidirect
244. C₂×#2010	C₂³	semidirect
245. C₂×#2010	C₂³	semidirect
246. C₂×#2010	C₂³	semidirect
247. C₂×#2010	C₂³	semidirect
248. #23412	C₂³	semidirect
249. #23412	C₂³	semidirect
250. #23412	C₂³	semidirect
251. C₂×#2008	C₂³	semidirect
252. #23400	C₂³	semidirect
253. C₂×#1911	C₂³	semidirect
254. C₂×#1911	C₂³	semidirect
255. #21000	C₂³	semidirect
256. C₂×#1904	C₂³	semidirect
257. #20995	C₂³	semidirect
258. #20995	C₂³	semidirect
259. C₂×#1903	C₂³	semidirect
260. C₂×#1903	C₂³	semidirect
261. #20939	C₂³	semidirect
262. #20939	C₂³	semidirect
263. #20867	C₂³	semidirect
264. C₂×#1795	C₂³	semidirect
265. #20620	C₂³	semidirect
266. #20605	C₂³	semidirect
267. #20598	C₂³	semidirect
268. C₂×#1783	C₂³	semidirect
281. #20338	C₂³	semidirect
288. #11245	C₂³	semidirect
289. #11181	C₂³	semidirect
290. #11132	C₂³	semidirect
291. #11132	C₂³	semidirect
292. #11110	C₂³	semidirect
293. #11109	C₂³	semidirect
294. #11101	C₂³	semidirect
295. #11037	C₂³	semidirect
296. #11014	C₂³	semidirect
297. #11014	C₂³	semidirect
298. #11014	C₂³	semidirect
299. #11004	C₂³	semidirect
300. #11003	C₂³	semidirect
301. #11000	C₂³	semidirect
302. #10994	C₂³	semidirect
303. #10993	C₂³	semidirect
304. #10993	C₂³	semidirect
305. #10987	C₂³	semidirect
306. #10950	C₂³	semidirect
307. #10950	C₂³	semidirect
308. #10950	C₂³	semidirect
309. #10890	C₂³	semidirect
310. #10793	C₂³	semidirect
311. #10792	C₂³	semidirect
312. #10785	C₂³	semidirect
313. #10729	C₂³	semidirect
314. C₂²⋊#338	C₂³	semidirect
315. C₂×#585	C₂×D₄	semidirect
317. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
318. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
339. C₂×#575	C₂×D₄	semidirect
348. C₂²×#137	C₂×D₄	semidirect
355. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
356. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
357. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
358. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
365. C₂³×SD₁₆	C₂×D₄	semidirect
366. C₂³×SD₁₆	C₂×D₄	semidirect
369. C₂³×D₈	C₂×D₄	semidirect
370. C₂³×D₈	C₂×D₄	semidirect
389. C₂×#535	C₂×D₄	semidirect
390. C₂×#535	C₂×D₄	semidirect
391. C₂×#535	C₂×D₄	semidirect
394. C₂²×#127	C₂×D₄	semidirect
395. C₂²×#124	C₂×D₄	semidirect
402. #3428	C₂×D₄	semidirect
405. C₂×C₄×#41	C₂×D₄	semidirect
410. #3040	C₂×D₄	semidirect
411. #3038	C₂×D₄	semidirect
412. #3010	C₂×D₄	semidirect
413. #3008	C₂×D₄	semidirect
416. #2905	C₂×D₄	semidirect
418. C₂×#423	C₂×D₄	semidirect
431. #2896	C₂×D₄	semidirect
432. #2896	C₂×D₄	semidirect
433. #2896	C₂×D₄	semidirect
439. C₂×#419	C₂×D₄	semidirect
440. C₂×#419	C₂×D₄	semidirect
441. C₂×#418	C₂×D₄	semidirect
442. C₂×#418	C₂×D₄	semidirect
443. C₂×#418	C₂×D₄	semidirect
444. C₂×#418	C₂×D₄	semidirect
449. C₂×#416	C₂×D₄	semidirect
456. #2879	C₂×D₄	semidirect
462. C₂×#408	C₂×D₄	semidirect
472. #2010	C₂×D₄	semidirect
473. #2010	C₂×D₄	semidirect
495. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
496. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
553. C₂×#137	C₂²×D₄	semidirect
558. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
563. C₂²×SD₁₆	C₂²×D₄	semidirect
568. C₂²×D₈	C₂²×D₄	semidirect
595. #535	C₂²×D₄	semidirect
596. C₂×#127	C₂²×D₄	semidirect
597. C₂×#124	C₂²×D₄	semidirect
600. C₄×#41	C₂²×D₄	semidirect
615. #423	C₂²×D₄	semidirect
617. #419	C₂²×D₄	semidirect
618. #419	C₂²×D₄	semidirect
619. #418	C₂²×D₄	semidirect
620. #418	C₂²×D₄	semidirect
621. #418	C₂²×D₄	semidirect
622. #416	C₂²×D₄	semidirect
623. #408	C₂²×D₄	semidirect
988. C₂	#72216123	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×#417628	2
C₂×#375780	2
C₂×#418531	2
C₂×#395193	2
C₂×#6437950	2
C₂×#422903	2
C₂×#394295	2
C₂×#417790	2
C₂×#454002	2
C₂×#364600	2
C₂×#6431743	2
C₂×#454389	2
C₂×#6437593	2
C₂×#359476	2
C₂×#368855	2
C₂×#10576108	2
C₂²×#23897	2
C₂×#394102	2
C₂×#394108	2
#72216123	2

Subgroups — C2×#72216123 #72251613

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72216123 #72251613