Subgroups — C₂×#72237544 #72337524

Order 2048.

At least 13755 conjugacy classes of subgroups; only the 4864 normal subgroups are shown.

The subgroup lattice has 1061 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×#501190	C₂	1	4	yes	maximal, complemented
2	C₂×#499151	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#499126	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#498941	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#494750	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#501196	C₂	1	4	yes	maximal, complemented
7	C₂×#501198	C₂	1	4	yes	maximal, complemented
8	C₂×#498916	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#501188	C₂	1	4	yes	maximal, complemented
10	C₂×#6437986	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#494361	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#493569	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#494758	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#494587	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#10577314	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#33348	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#7622868	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#6438013	C₂	1	1	yes	maximal, characteristic, complemented
19	#72237544	C₂	1	32	yes	maximal, direct product factor
20	C₂²×#23882	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#3585	C₂²	1	1	yes	characteristic, complemented
22	C₂×#62729	C₂²	1	1	yes	characteristic
23	C₂²×#3484	C₂²	1	1	yes	characteristic
24	#10577314	C₂²	1	16	yes	complemented
25	C₂×#61644	C₂²	1	2	yes	complemented
26	C₂×#61644	C₂²	1	2	yes	complemented
27	C₂×#61631	C₂²	1	2	yes	complemented
28	C₂×#61630	C₂²	1	2	yes	complemented
29	C₂×#60753	C₂²	1	1	yes	characteristic
30	C₂×#60753	C₂²	1	1	yes	characteristic
31	C₂×#60398	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#3025	C₂²	1	1	yes	characteristic
33	C₂×#60367	C₂²	1	1	yes	characteristic
34	C₂×#60367	C₂²	1	1	yes	characteristic
35	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60231	C₂²	1	1	yes	characteristic
38	C₂²×#2888	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#2883	C₂²	1	1	yes	characteristic, complemented
40	#7622868	C₂²	1	16	yes	complemented
41	C₂×#33556	C₂²	1	2	yes	complemented
42	C₂×#33555	C₂²	1	2	yes	complemented
43	C₂×#33554	C₂²	1	2	yes	complemented
44	C₂×#33553	C₂²	1	2	yes	complemented
45	C₂×#33369	C₂²	1	1	yes	characteristic, complemented
46	C₂×#33358	C₂²	1	1	yes	characteristic, complemented
47	C₂×#33348	C₂²	1	4	yes	complemented
48	C₂×#33348	C₂²	1	4	yes	complemented
49	C₂×#33348	C₂²	1	16	yes	complemented
50	C₂×#33347	C₂²	1	1	yes	characteristic, complemented
51	C₂×#33347	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#2122	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#2122	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#2120	C₂²	1	1	yes	characteristic
55	C₂²×#2120	C₂²	1	1	yes	characteristic
56	#6438013	C₂²	1	16	yes	complemented
57	C₂×#24409	C₂²	1	4	yes	complemented
58	C₂×#24408	C₂²	1	4	yes	complemented
59	#6437986	C₂²	1	16	yes	complemented
60	C₂×#24421	C₂²	1	4	yes	complemented
61	C₂×#24420	C₂²	1	4	yes	complemented
62	C₂×#23882	C₂²	1	4	yes	—
63	C₂×#23882	C₂²	1	4	yes	complemented
64	C₂×#23882	C₂²	1	16	yes	complemented
65	C₂×#21017	C₂²	1	1	yes	characteristic, complemented
66	C₂×#21009	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#1910	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#1891	C₂²	1	1	yes	characteristic
69	C₂×#20892	C₂²	1	1	yes	characteristic, complemented
70	C₂×#20860	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
72	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
73	C₂×#20612	C₂²	1	1	yes	characteristic, complemented
74	#501198	C₂²	1	64	yes	complemented
75	#501196	C₂²	1	64	yes	complemented
76	#501190	C₂²	1	64	yes	complemented
77	#501188	C₂²	1	64	yes	complemented
78	#499151	C₂²	1	16	yes	complemented
79	C₂×#13433	C₂²	1	4	yes	complemented
80	C₂×#13432	C₂²	1	4	yes	complemented
81	#499126	C₂²	1	16	yes	complemented
82	C₂×#13437	C₂²	1	4	yes	complemented
83	C₂×#13436	C₂²	1	4	yes	complemented
84	#498941	C₂²	1	16	yes	complemented
85	C₂×#13354	C₂²	1	4	yes	complemented
86	C₂×#13353	C₂²	1	4	yes	complemented
87	#498916	C₂²	1	16	yes	complemented
88	C₂×#13361	C₂²	1	4	yes	complemented
89	C₂×#13360	C₂²	1	4	yes	complemented
90	#494758	C₂²	1	16	yes	complemented
91	C₂×#13102	C₂²	1	4	yes	complemented
92	C₂×#13100	C₂²	1	4	yes	complemented
93	#494750	C₂²	1	16	yes	complemented
94	C₂×#13099	C₂²	1	4	yes	complemented
95	C₂×#13097	C₂²	1	4	yes	complemented
96	#494587	C₂²	1	16	yes	complemented
97	C₂×#13046	C₂²	1	4	yes	complemented
98	C₂×#13045	C₂²	1	4	yes	complemented
99	#494361	C₂²	1	16	yes	complemented
100	C₂×#12963	C₂²	1	4	yes	complemented
101	C₂×#12962	C₂²	1	4	yes	complemented
102	#493569	C₂²	1	16	yes	complemented
103	C₂×#12758	C₂²	1	2	yes	complemented
104	C₂×#12756	C₂²	1	2	yes	complemented
105	C₂×#12757	C₂²	1	2	yes	complemented
106	C₂×#12755	C₂²	1	2	yes	complemented
107	C₂×#12589	C₂²	1	1	yes	characteristic, complemented
108	C₂×#12589	C₂²	1	1	yes	characteristic, complemented
109	C₂×#12579	C₂²	1	1	yes	characteristic, complemented
110	C₂×#12577	C₂²	1	1	yes	characteristic, complemented
111	C₂²×#585	C₂³	1	1	yes	characteristic
112	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
113	C₂⁵×D₄	D₄	1	1	yes	characteristic, complemented
114	C₂×#3585	C₂³	1	4	yes	—
115	C₂×#3585	C₂³	1	8	yes	complemented
116	C₂²×#575	D₄	1	1	yes	characteristic, complemented
117	C₂²×#575	D₄	1	1	yes	characteristic, complemented
118	C₂³×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic, complemented
119	C₂³×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic, complemented
120	C₂²×#568	C₂³	1	1	yes	characteristic
121	C₂×#3484	D₄	1	2	yes	complemented
122	C₂×#3484	D₄	1	2	yes	complemented
123	C₂×#3484	D₄	1	8	yes	complemented
124	C₂×#3484	C₂³	1	2	yes	—
125	C₂×#3484	C₂³	1	2	yes	—
126	C₂×#3484	C₂³	1	8	yes	—
127	#62729	C₂³	1	8	yes	—
128	C₂×#3540	C₂³	1	1	yes	characteristic
129	C₂×#3540	C₂³	1	1	yes	characteristic
130	C₂×#3538	C₂³	1	1	yes	characteristic
131	C₂×#3537	C₂³	1	1	yes	characteristic
132	C₂×#3449	C₂³	1	1	yes	characteristic
133	C₂×#3449	C₂³	1	1	yes	characteristic
134	C₂²×#535	D₄	1	1	yes	characteristic, complemented
135	C₂²×#535	C₂³	1	1	yes	characteristic
136	C₂²×#525	D₄	1	1	yes	characteristic, complemented
137	C₂²×#525	C₂³	1	1	yes	characteristic
138	C₂²×#518	D₄	1	1	yes	characteristic, complemented
139	#61644	C₂³	1	16	yes	complemented
140	#61644	C₂³	1	16	yes	complemented
141	#61631	C₂³	1	16	yes	complemented
142	#61630	C₂³	1	16	yes	complemented
143	#60753	C₂³	1	8	yes	—
144	#60753	C₂³	1	8	yes	—
145	C₂×#3200	C₂³	1	2	yes	—
146	C₂×#3200	C₂³	1	2	yes	—
147	C₂×#3199	C₂³	1	2	yes	—
148	C₂×#3199	C₂³	1	2	yes	—
149	#60398	C₂³	1	8	yes	complemented
150	C₂×#3028	C₂³	1	2	yes	complemented
151	C₂×#3027	C₂³	1	2	yes	complemented
152	C₂×#3025	C₂³	1	2	yes	—
153	C₂×#3025	C₂³	1	2	yes	—
154	C₂×#3025	C₂³	1	8	yes	—
155	#60387	C₂³	1	8	yes	complemented
156	C₂×#3022	C₂³	1	2	yes	complemented
157	C₂×#3021	C₂³	1	4	yes	—
158	C₂×#3021	C₂³	1	2	yes	complemented
159	C₂×#3021	C₂³	1	8	yes	complemented
160	#60367	D₄	1	8	yes	complemented
161	#60367	D₄	1	8	yes	complemented
162	#60367	C₂³	1	8	yes	—
163	#60367	C₂³	1	8	yes	—
164	C₂×#3009	D₄	1	2	yes	complemented
165	C₂×#3009	D₄	1	2	yes	complemented
166	C₂×#3009	C₂³	1	2	yes	—
167	C₂×#3009	C₂³	1	2	yes	—
168	C₂×#3008	D₄	1	2	yes	complemented
169	C₂×#3008	D₄	1	2	yes	complemented
170	C₂×#3008	C₂³	1	2	yes	—
171	C₂×#3008	C₂³	1	2	yes	—
172	#60231	C₂³	1	8	yes	—
173	C₂×#2978	C₂³	1	2	yes	—
174	C₂×#2977	C₂³	1	2	yes	—
175	C₂×#2896	D₄	1	1	yes	characteristic, complemented
176	C₂×#2896	D₄	1	1	yes	characteristic, complemented
177	C₂²×#418	D₄	1	1	yes	characteristic, complemented
178	C₂²×#418	D₄	1	1	yes	characteristic, complemented
179	C₂×#2888	C₂³	1	4	yes	—
180	C₂×#2888	C₂³	1	8	yes	complemented
181	C₂²×#413	C₂³	1	1	yes	characteristic
182	C₂²×#413	C₂³	1	1	yes	characteristic
183	C₂²×#413	C₂³	1	1	yes	characteristic
184	C₂×#2883	C₂³	1	4	yes	—
185	C₂×#2883	C₂³	1	8	yes	complemented
186	C₂²×#410	C₂³	1	1	yes	characteristic
187	C₂²×#410	C₂³	1	1	yes	characteristic
188	C₂²×#410	C₂³	1	1	yes	characteristic
189	C₂×#2879	C₂³	1	1	yes	characteristic
190	C₂×#2879	C₂³	1	1	yes	characteristic
191	#33556	C₂³	1	16	yes	complemented
192	#33555	C₂³	1	16	yes	complemented
193	#33554	C₂³	1	16	yes	complemented
194	#33553	C₂³	1	16	yes	complemented
195	#33369	C₂³	1	8	yes	complemented
196	C₂×#2135	C₂³	1	2	yes	complemented
197	C₂×#2134	C₂³	1	2	yes	complemented
198	#33358	C₂³	1	8	yes	complemented
199	C₂×#2129	C₂³	1	2	yes	complemented
200	C₂×#2128	C₂³	1	2	yes	complemented
201	#33348	C₂³	1	32	yes	complemented
202	#33348	C₂³	1	32	yes	complemented
203	#33347	C₂³	1	8	yes	complemented
204	#33347	C₂³	1	8	yes	complemented
205	C₂×#2123	C₂³	1	2	yes	complemented
206	C₂×#2123	C₂³	1	2	yes	complemented
207	C₂×#2122	C₂³	1	4	yes	—
208	C₂×#2122	C₂³	1	4	yes	—
209	C₂×#2122	C₂³	1	8	yes	complemented
210	C₂×#2122	C₂³	1	8	yes	complemented
211	C₂×#2122	C₂³	1	2	yes	complemented
212	C₂×#2122	C₂³	1	2	yes	complemented
213	C₂×#2120	D₄	1	2	yes	—
214	C₂×#2120	D₄	1	2	yes	—
215	C₂×#2120	D₄	1	8	yes	—
216	C₂×#2120	C₂³	1	2	yes	—
217	C₂×#2120	C₂³	1	8	yes	—
218	C₂×#2120	C₂³	1	2	yes	—
219	C₂×#2120	C₂³	1	2	yes	—
220	C₂×#2120	C₂³	1	2	yes	—
221	C₂×#2120	C₂³	1	8	yes	—
222	C₂²×#352	D₄	1	2	yes	—
223	C₂²×AΣL(1,𝔽₁₆)	D₄	1	2	yes	—
224	#24421	C₂³	1	32	yes	complemented
225	#24420	C₂³	1	32	yes	complemented
226	#24409	C₂³	1	32	yes	complemented
227	#24408	C₂³	1	32	yes	complemented
228	#23882	C₂³	1	32	yes	—
229	#23882	C₂³	1	32	yes	complemented
230	#21017	C₂³	1	8	yes	complemented
231	C₂×#1915	C₂³	1	2	yes	complemented
232	C₂×#1914	C₂³	1	2	yes	complemented
233	#21009	C₂³	1	8	yes	complemented
234	C₂×#1910	C₂³	1	4	yes	—
235	C₂×#1910	C₂³	1	8	yes	complemented
236	C₂×#1910	C₂³	1	2	yes	complemented
237	C₂×#1909	C₂³	1	2	yes	complemented
238	C₂×#1891	C₂³	1	2	yes	—
239	C₂×#1891	C₂³	1	8	yes	—
240	C₂×#1891	C₂³	1	2	yes	—
241	#20892	C₂³	1	8	yes	complemented
242	C₂×#1868	C₂³	1	4	yes	complemented
243	#20860	C₂³	1	8	yes	complemented
244	C₂×#1858	C₂³	1	4	yes	complemented
245	C₂×#1795	C₂³	1	4	yes	—
246	C₂×#1795	C₂³	1	8	yes	complemented
247	#20620	C₂³	1	8	yes	complemented
248	C₂×#1794	C₂³	1	4	yes	complemented
249	#20612	C₂³	1	8	yes	complemented
250	C₂×#1791	C₂³	1	4	yes	complemented
251	#13437	C₂³	1	32	yes	complemented
252	#13436	C₂³	1	32	yes	complemented
253	#13433	C₂³	1	32	yes	complemented
254	#13432	C₂³	1	32	yes	complemented
255	#13361	C₂³	1	32	yes	complemented
256	#13360	C₂³	1	32	yes	complemented
257	#13354	C₂³	1	32	yes	complemented
258	#13353	C₂³	1	32	yes	complemented
259	#13102	C₂³	1	32	yes	complemented
260	#13100	C₂³	1	32	yes	complemented
261	#13099	C₂³	1	32	yes	complemented
262	#13097	C₂³	1	32	yes	complemented
263	#13046	C₂³	1	32	yes	complemented
264	#13045	C₂³	1	32	yes	complemented
265	#12963	C₂³	1	32	yes	complemented
266	#12962	C₂³	1	32	yes	complemented
267	#12758	C₂³	1	16	yes	complemented
268	#12757	C₂³	1	16	yes	complemented
269	#12756	C₂³	1	16	yes	complemented
270	#12755	C₂³	1	16	yes	complemented
271	#12589	C₂³	1	8	yes	complemented
272	#12589	C₂³	1	8	yes	complemented
273	C₂×#1395	C₂³	1	4	yes	complemented
274	C₂×#1395	C₂³	1	4	yes	complemented
275	#12579	C₂³	1	8	yes	complemented
276	C₂×#1392	C₂³	1	4	yes	complemented
277	#12577	C₂³	1	8	yes	complemented
278	C₂×#1391	C₂³	1	4	yes	complemented
279	C₂×#585	C₂⁴	1	2	yes	—
280	C₂×#585	C₂⁴	1	4	yes	—
281	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
282	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
283	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
284	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
285	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
286	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
287	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
288	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
289	C₂³×#41	C₂×D₄	1	1	yes	characteristic
290	C₂³×#41	C₂×D₄	1	1	yes	characteristic
291	C₂³×#41	C₂×D₄	1	1	yes	characteristic
292	C₂³×#41	C₂×D₄	1	1	yes	characteristic
293	C₂³×#41	C₂×D₄	1	1	yes	characteristic
294	C₂³×#41	C₂⁴	1	1	yes	characteristic
295	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
296	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
297	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
298	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
299	C₂⁴×D₄	C₂×D₄	1	2	yes	—
300	C₂⁴×D₄	C₂×D₄	1	2	yes	—
301	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
302	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
303	#3585	C₂⁴	1	16	yes	—
304	C₂×#575	C₂×D₄	1	8	yes	complemented
305	C₂×#575	C₂×D₄	1	8	yes	complemented
306	C₂²×#137	C₂×D₄	1	2	yes	complemented
307	C₂²×#137	C₂×D₄	1	2	yes	complemented
308	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
309	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
310	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
311	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
312	C₂³×SD₁₆	C₂×D₄	1	2	yes	complemented
313	C₂³×SD₁₆	C₂×D₄	1	2	yes	complemented
314	C₂³×D₈	C₂×D₄	1	2	yes	complemented
315	C₂³×D₈	C₂×D₄	1	2	yes	complemented
316	C₂×#568	C₂⁴	1	2	yes	—
317	C₂×#568	C₂⁴	1	4	yes	—
318	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
319	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
320	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
321	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
322	#3540	C₂⁴	1	4	yes	—
323	#3540	C₂⁴	1	4	yes	—
324	#3538	C₂⁴	1	4	yes	—
325	#3537	C₂⁴	1	4	yes	—
326	#3484	C₂×D₄	1	8	yes	—
327	#3484	C₂×D₄	1	8	yes	—
328	#3484	C₂×D₄	1	16	yes	complemented
329	#3484	C₂×D₄	1	16	yes	complemented
330	#3484	C₂⁴	1	8	yes	—
331	#3484	C₂⁴	1	8	yes	—
332	#3449	C₂×D₄	1	4	yes	—
333	#3449	C₂×D₄	1	4	yes	—
334	#3449	C₂⁴	1	4	yes	—
335	#3449	C₂⁴	1	4	yes	—
336	C₂×#536	C₂×D₄	1	1	yes	characteristic
337	C₂×#536	C₂×D₄	1	1	yes	characteristic
338	C₂×#536	C₂⁴	1	1	yes	characteristic
339	C₂×#536	C₂⁴	1	1	yes	characteristic
340	C₂×#535	C₂×D₄	1	2	yes	—
341	C₂×#535	C₂×D₄	1	4	yes	—
342	C₂×#535	C₂×D₄	1	1	yes	characteristic
343	C₂×#535	C₂×D₄	1	1	yes	characteristic
344	C₂×#535	C₂×D₄	1	2	yes	—
345	C₂×#535	C₂×D₄	1	2	yes	—
346	C₂×#535	C₂×D₄	1	8	yes	complemented
347	C₂×#535	C₂⁴	1	1	yes	characteristic
348	C₂×#535	C₂⁴	1	1	yes	characteristic
349	C₂×#535	C₂⁴	1	2	yes	—
350	C₂×#535	C₂⁴	1	4	yes	—
351	C₂×#525	C₂×D₄	1	4	yes	—
352	C₂×#525	C₂×D₄	1	1	yes	characteristic
353	C₂×#525	C₂×D₄	1	1	yes	characteristic
354	C₂×#525	C₂×D₄	1	1	yes	characteristic
355	C₂×#525	C₂×D₄	1	1	yes	characteristic
356	C₂×#525	C₂×D₄	1	4	yes	—
357	C₂×#525	C₂×D₄	1	2	yes	—
358	C₂×#525	C₂×D₄	1	2	yes	—
359	C₂×#525	C₂×D₄	1	8	yes	complemented
360	C₂×#525	#41	1	4	yes	—
361	C₂×#525	#41	1	1	yes	characteristic
362	C₂×#525	#41	1	1	yes	characteristic
363	C₂×#525	C₂⁴	1	1	yes	characteristic
364	C₂×#525	C₂⁴	1	1	yes	characteristic
365	C₂×#525	C₂⁴	1	4	yes	—
366	C₂²×#123	C₂×D₄	1	1	yes	characteristic
367	C₂²×#123	#41	1	1	yes	characteristic
368	C₂²×#120	C₂×D₄	1	1	yes	characteristic
369	C₂²×#120	#41	1	1	yes	characteristic
370	C₂×#518	C₂×D₄	1	2	yes	—
371	C₂×#518	C₂×D₄	1	2	yes	—
372	C₂×#518	C₂×D₄	1	8	yes	complemented
373	C₂²×#117	C₂×D₄	1	1	yes	characteristic
374	C₂²×#117	C₂×D₄	1	1	yes	characteristic
375	C₂²×#117	C₂×D₄	1	1	yes	characteristic
376	C₂²×#117	C₂×D₄	1	1	yes	characteristic
377	#3200	C₂⁴	1	8	yes	—
378	#3200	C₂⁴	1	8	yes	—
379	#3199	C₂⁴	1	8	yes	—
380	#3199	C₂⁴	1	8	yes	—
381	#3028	C₂⁴	1	8	yes	complemented
382	#3027	C₂⁴	1	8	yes	complemented
383	#3025	C₂⁴	1	8	yes	—
384	#3025	C₂⁴	1	8	yes	—
385	#3022	C₂⁴	1	8	yes	complemented
386	#3021	C₂⁴	1	16	yes	—
387	#3021	C₂⁴	1	8	yes	complemented
388	#3009	C₂×D₄	1	16	yes	complemented
389	#3009	C₂×D₄	1	8	yes	complemented
390	#3009	C₂×D₄	1	16	yes	complemented
391	#3009	C₂×D₄	1	8	yes	complemented
392	#3009	C₂⁴	1	8	yes	—
393	#3009	C₂⁴	1	8	yes	—
394	#3008	C₂×D₄	1	16	yes	complemented
395	#3008	C₂×D₄	1	8	yes	complemented
396	#3008	C₂×D₄	1	16	yes	complemented
397	#3008	C₂×D₄	1	8	yes	complemented
398	#3008	C₂⁴	1	8	yes	—
399	#3008	C₂⁴	1	8	yes	—
400	#2978	C₂⁴	1	8	yes	—
401	#2977	C₂⁴	1	8	yes	—
402	#2896	C₂×D₄	1	8	yes	complemented
403	#2896	C₂×D₄	1	8	yes	complemented
404	C₂×#418	C₂×D₄	1	2	yes	complemented
405	C₂×#418	C₂×D₄	1	2	yes	complemented
406	C₂×#418	C₂×D₄	1	8	yes	complemented
407	C₂×#418	C₂×D₄	1	2	yes	complemented
408	C₂×#418	C₂×D₄	1	2	yes	complemented
409	C₂×#418	C₂×D₄	1	8	yes	complemented
410	C₂×#416	C₂×D₄	1	2	yes	complemented
411	C₂×#416	C₂×D₄	1	2	yes	complemented
412	C₂×#416	C₂×D₄	1	2	yes	complemented
413	C₂×#416	C₂×D₄	1	2	yes	complemented
414	#2888	C₂⁴	1	16	yes	—
415	C₂×#413	C₂×D₄	1	2	yes	—
416	C₂×#413	C₂×D₄	1	4	yes	—
417	C₂×#413	C₂⁴	1	2	yes	—
418	C₂×#413	C₂⁴	1	4	yes	—
419	C₂×#413	C₂⁴	1	2	yes	—
420	C₂×#413	C₂⁴	1	4	yes	—
421	C₂×#413	C₂⁴	1	2	yes	—
422	C₂×#413	C₂⁴	1	4	yes	—
423	C₂²×#100	C₂×D₄	1	2	yes	—
424	#2883	C₂⁴	1	16	yes	—
425	C₂×#410	C₂×D₄	1	2	yes	—
426	C₂×#410	C₂×D₄	1	4	yes	—
427	C₂×#410	C₂⁴	1	2	yes	—
428	C₂×#410	C₂⁴	1	2	yes	—
429	C₂×#410	C₂⁴	1	4	yes	—
430	C₂×#410	C₂⁴	1	4	yes	—
431	C₂×#410	C₂⁴	1	2	yes	—
432	C₂×#410	C₂⁴	1	4	yes	—
433	C₂²×#99	C₂×D₄	1	2	yes	—
434	#2879	C₂×D₄	1	4	yes	—
435	#2879	C₂×D₄	1	4	yes	—
436	#2879	C₂⁴	1	4	yes	—
437	#2879	C₂⁴	1	4	yes	—
438	C₂×#408	C₂×D₄	1	2	yes	—
439	C₂×#408	C₂×D₄	1	2	yes	—
440	C₂×#408	C₂⁴	1	2	yes	—
441	C₂×#408	C₂⁴	1	2	yes	—
442	#2135	C₂⁴	1	8	yes	complemented
443	#2134	C₂⁴	1	8	yes	complemented
444	#2129	C₂⁴	1	8	yes	complemented
445	#2128	C₂⁴	1	8	yes	complemented
446	#2123	C₂⁴	1	8	yes	complemented
447	#2123	C₂⁴	1	8	yes	complemented
448	#2122	C₂⁴	1	16	yes	—
449	#2122	C₂⁴	1	16	yes	—
450	#2122	C₂⁴	1	8	yes	complemented
451	#2122	C₂⁴	1	8	yes	complemented
452	#2120	C₂×D₄	1	16	yes	—
453	#2120	C₂×D₄	1	16	yes	—
454	#2120	C₂×D₄	1	8	yes	—
455	#2120	C₂×D₄	1	8	yes	—
456	#2120	C₂⁴	1	8	yes	—
457	#2120	C₂⁴	1	8	yes	—
458	#2120	C₂⁴	1	8	yes	—
459	#2120	C₂⁴	1	8	yes	—
460	C₂×#352	C₂×D₄	1	4	yes	—
461	C₂×#352	C₂×D₄	1	4	yes	—
462	C₂×#352	C₂×D₄	1	16	yes	—
463	C₂×AΣL(1,𝔽₁₆)	C₂×D₄	1	4	yes	—
464	C₂×AΣL(1,𝔽₁₆)	C₂×D₄	1	4	yes	—
465	C₂×AΣL(1,𝔽₁₆)	C₂×D₄	1	16	yes	—
466	#1915	C₂⁴	1	8	yes	complemented
467	#1914	C₂⁴	1	8	yes	complemented
468	#1910	C₂⁴	1	16	yes	—
469	#1910	C₂⁴	1	8	yes	complemented
470	#1909	C₂⁴	1	8	yes	complemented
471	#1891	C₂⁴	1	8	yes	—
472	#1891	C₂⁴	1	8	yes	—
473	#1868	C₂⁴	1	16	yes	complemented
474	#1858	C₂⁴	1	16	yes	complemented
475	#1795	C₂⁴	1	16	yes	—
476	#1794	C₂⁴	1	16	yes	complemented
477	#1791	C₂⁴	1	16	yes	complemented
478	#1395	C₂⁴	1	16	yes	complemented
479	#1395	C₂⁴	1	16	yes	complemented
480	#1392	C₂⁴	1	16	yes	complemented
481	#1391	C₂⁴	1	16	yes	complemented
482	C₂⁶	#121	1	1	yes	characteristic
483	#585	C₂⁵	1	4	yes	—
484	C₂×H(5,𝔽₂)	#120	1	8	yes	—
485	C₂×H(5,𝔽₂)	#120	1	8	yes	—
486	C₂×H(5,𝔽₂)	#120	1	8	yes	—
487	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
488	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
489	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
490	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
491	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
492	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
493	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
494	C₂²×#41	#120	1	2	yes	—
495	C₂²×#41	#120	1	4	yes	—
496	C₂²×#41	#120	1	2	yes	—
497	C₂²×#41	#120	1	4	yes	—
498	C₂²×#41	#120	1	2	yes	—
499	C₂²×#41	#120	1	4	yes	—
500	C₂²×#41	C₂²×D₄	1	2	yes	—
501	C₂²×#41	C₂²×D₄	1	4	yes	—
502	C₂²×#41	C₂²×D₄	1	2	yes	—
503	C₂²×#41	C₂²×D₄	1	4	yes	—
504	C₂²×#41	C₂²×D₄	1	2	yes	—
505	C₂²×#41	C₂²×D₄	1	4	yes	—
506	C₂²×#41	C₂²×D₄	1	4	yes	—
507	C₂²×#41	C₂²×D₄	1	4	yes	—
508	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
509	C₂²×#41	C₂²×D₄	1	2	yes	—
510	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
511	C₂²×#41	C₂²×D₄	1	2	yes	—
512	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
513	C₂²×#41	C₂²×D₄	1	2	yes	—
514	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
515	C₂²×#41	C₂²×D₄	1	2	yes	—
516	C₂²×#41	C₂×#41	1	1	yes	characteristic
517	C₂²×#41	C₂×#41	1	2	yes	—
518	C₂²×#41	H(5,𝔽₂)	1	1	yes	characteristic
519	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
520	C₂²×#41	H(5,𝔽₂)	1	1	yes	characteristic
521	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
522	C₂²×#41	C₂⁵	1	1	yes	characteristic
523	C₂²×#41	C₂⁵	1	2	yes	—
524	C₂³×Q₈	#120	1	1	yes	characteristic
525	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
526	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
527	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
528	C₂³×D₄	#120	1	2	yes	—
529	C₂³×D₄	#120	1	4	yes	—
530	C₂³×D₄	#120	1	2	yes	—
531	C₂³×D₄	#120	1	4	yes	—
532	C₂³×D₄	#120	1	2	yes	—
533	C₂³×D₄	#120	1	4	yes	—
534	C₂³×D₄	#120	1	1	yes	characteristic
535	C₂³×D₄	#120	1	1	yes	characteristic
536	C₂³×D₄	#120	1	1	yes	characteristic
537	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
538	C₂³×D₄	C₂²×D₄	1	2	yes	—
539	C₂³×D₄	C₂²×D₄	1	4	yes	—
540	C₂³×D₄	C₂²×D₄	1	2	yes	—
541	C₂³×D₄	C₂²×D₄	1	4	yes	—
542	C₂³×D₄	C₂²×D₄	1	2	yes	—
543	C₂³×D₄	C₂²×D₄	1	4	yes	—
544	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
545	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
546	C₂³×D₄	C₂²×D₄	1	2	yes	—
547	C₂³×D₄	C₂²×D₄	1	4	yes	—
548	C₂³×D₄	C₂²×D₄	1	8	yes	—
549	C₂³×D₄	C₂²×D₄	1	8	yes	—
550	C₂³×D₄	C₂×#41	1	1	yes	characteristic
551	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
552	C₂⁴×C₄	#121	1	1	yes	characteristic
553	C₂⁴×C₄	#121	1	1	yes	characteristic
554	C₂⁴×C₄	#121	1	1	yes	characteristic
555	C₂⁴×C₄	#121	1	4	yes	—
556	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
557	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
558	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
559	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
560	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
561	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
562	C₂×#137	C₂²×D₄	1	8	yes	complemented
563	C₂×#137	C₂²×D₄	1	8	yes	complemented
564	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	8	yes	complemented
565	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	8	yes	complemented
566	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
567	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
568	C₂²×D₈	C₂²×D₄	1	8	yes	complemented
569	C₂²×D₈	C₂²×D₄	1	8	yes	complemented
570	#568	C₂⁵	1	4	yes	—
571	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
572	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
573	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
574	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
575	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
576	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
577	C₂³×C₈	C₂²×D₄	1	2	yes	—
578	C₂³×C₈	C₂²×D₄	1	2	yes	—
579	#536	C₂²×D₄	1	4	yes	—
580	#536	C₂²×D₄	1	2	yes	—
581	#536	C₂²×D₄	1	4	yes	—
582	#536	C₂²×D₄	1	2	yes	—
583	#536	C₂⁵	1	2	yes	—
584	#536	C₂⁵	1	2	yes	—
585	#535	C₂²×D₄	1	8	yes	—
586	#535	C₂²×D₄	1	4	yes	—
587	#535	C₂²×D₄	1	4	yes	—
588	#535	C₂²×D₄	1	2	yes	—
589	#535	C₂²×D₄	1	4	yes	—
590	#535	C₂²×D₄	1	2	yes	—
591	#535	C₂²×D₄	1	8	yes	—
592	#535	C₂²×D₄	1	8	yes	—
593	#535	C₂⁵	1	4	yes	—
594	#535	C₂⁵	1	2	yes	—
595	#535	C₂⁵	1	2	yes	—
596	#525	#121	1	4	yes	—
597	#525	#121	1	4	yes	—
598	#525	#121	1	4	yes	—
599	#525	#121	1	4	yes	—
600	#525	#121	1	4	yes	—
601	#525	#121	1	4	yes	—
602	#525	C₂²×D₄	1	4	yes	—
603	#525	C₂²×D₄	1	4	yes	—
604	#525	C₂²×D₄	1	2	yes	—
605	#525	C₂²×D₄	1	2	yes	—
606	#525	C₂²×D₄	1	2	yes	—
607	#525	C₂²×D₄	1	2	yes	—
608	#525	C₂²×D₄	1	4	yes	—
609	#525	C₂²×D₄	1	4	yes	—
610	#525	C₂²×D₄	1	8	yes	—
611	#525	C₂²×D₄	1	8	yes	—
612	#525	C₂×#41	1	4	yes	—
613	#525	C₂×#41	1	4	yes	—
614	#525	C₂×#41	1	2	yes	—
615	#525	C₂×#41	1	2	yes	—
616	#525	C₂⁵	1	2	yes	—
617	#525	C₂⁵	1	2	yes	—
618	C₂×#123	#121	1	1	yes	characteristic
619	C₂×#123	#121	1	1	yes	characteristic
620	C₂×#123	#121	1	4	yes	—
621	C₂×#123	#121	1	1	yes	characteristic
622	C₂×#123	#121	1	1	yes	characteristic
623	C₂×#123	#121	1	4	yes	—
624	C₂×#123	C₂²×D₄	1	1	yes	characteristic
625	C₂×#123	C₂²×D₄	1	1	yes	characteristic
626	C₂×#123	C₂²×D₄	1	4	yes	—
627	C₂×#123	C₂×#41	1	1	yes	characteristic
628	C₂×#123	C₂×#41	1	1	yes	characteristic
629	C₂×#123	C₂×#41	1	4	yes	—
630	C₂×#120	#121	1	1	yes	characteristic
631	C₂×#120	#121	1	1	yes	characteristic
632	C₂×#120	#121	1	4	yes	—
633	C₂×#120	#121	1	1	yes	characteristic
634	C₂×#120	#121	1	1	yes	characteristic
635	C₂×#120	#121	1	4	yes	—
636	C₂×#120	C₂²×D₄	1	1	yes	characteristic
637	C₂×#120	C₂²×D₄	1	1	yes	characteristic
638	C₂×#120	C₂²×D₄	1	4	yes	—
639	C₂×#120	C₂×#41	1	1	yes	characteristic
640	C₂×#120	C₂×#41	1	1	yes	characteristic
641	C₂×#120	C₂×#41	1	4	yes	—
642	#518	C₂²×D₄	1	8	yes	—
643	#518	C₂²×D₄	1	8	yes	—
644	C₂×#117	#121	1	1	yes	characteristic
645	C₂×#117	#121	1	1	yes	characteristic
646	C₂×#117	#121	1	4	yes	—
647	C₂×#117	C₂²×D₄	1	2	yes	—
648	C₂×#117	C₂²×D₄	1	1	yes	characteristic
649	C₂×#117	C₂²×D₄	1	1	yes	characteristic
650	C₂×#117	C₂²×D₄	1	1	yes	characteristic
651	C₂×#117	C₂²×D₄	1	1	yes	characteristic
652	C₂×#117	C₂²×D₄	1	4	yes	—
653	C₂×#117	C₂²×D₄	1	4	yes	—
654	C₂×#117	C₂²×D₄	1	4	yes	—
655	C₂×#117	C₂²×D₄	1	1	yes	characteristic
656	C₂×#117	C₂²×D₄	1	1	yes	characteristic
657	C₂×#117	C₂²×D₄	1	4	yes	—
658	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
659	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
660	#418	C₂²×D₄	1	8	yes	complemented
661	#418	C₂²×D₄	1	8	yes	complemented
662	#418	C₂²×D₄	1	8	yes	complemented
663	#418	C₂²×D₄	1	8	yes	complemented
664	#416	C₂²×D₄	1	8	yes	complemented
665	#416	C₂²×D₄	1	8	yes	complemented
666	#416	C₂²×D₄	1	8	yes	complemented
667	#416	C₂²×D₄	1	8	yes	complemented
668	#413	C₂²×D₄	1	8	yes	—
669	#413	C₂²×D₄	1	4	yes	—
670	#413	C₂⁵	1	4	yes	—
671	#413	C₂⁵	1	4	yes	—
672	#413	C₂⁵	1	4	yes	—
673	C₂×#100	C₂²×D₄	1	4	yes	—
674	C₂×#100	C₂²×D₄	1	8	yes	—
675	#410	C₂²×D₄	1	8	yes	—
676	#410	C₂²×D₄	1	4	yes	—
677	#410	C₂⁵	1	4	yes	—
678	#410	C₂⁵	1	4	yes	—
679	#410	C₂⁵	1	4	yes	—
680	C₂×#99	C₂²×D₄	1	4	yes	—
681	C₂×#99	C₂²×D₄	1	8	yes	—
682	#408	C₂²×D₄	1	8	yes	—
683	#408	C₂²×D₄	1	4	yes	—
684	#408	C₂²×D₄	1	8	yes	—
685	#408	C₂²×D₄	1	4	yes	—
686	#408	C₂⁵	1	4	yes	—
687	#408	C₂⁵	1	4	yes	—
688	#352	C₂²×D₄	1	16	yes	—
689	#352	C₂²×D₄	1	16	yes	—
690	AΣL(1,𝔽₁₆)	C₂²×D₄	1	16	yes	—
691	AΣL(1,𝔽₁₆)	C₂²×D₄	1	16	yes	—
692	C₂⁵	C₂×#121	1	1	yes	characteristic
693	C₂⁵	C₂×#121	1	1	yes	characteristic
694	C₂⁵	C₂×#121	1	1	yes	characteristic
695	C₂⁵	C₂×#121	1	4	yes	—
696	C₂⁵	D₄²	1	1	yes	characteristic
697	C₂⁵	#546	1	1	yes	characteristic
698	C₂×#41	C₂×#120	1	8	yes	—
699	C₂×#41	C₂×#120	1	4	yes	—
700	C₂×#41	C₂×#120	1	4	yes	—
701	C₂×#41	C₂×#120	1	8	yes	—
702	C₂×#41	C₂×#120	1	8	yes	—
703	C₂×#41	C₂×#120	1	4	yes	—
704	C₂×#41	C₂×#120	1	2	yes	—
705	C₂×#41	C₂×#120	1	2	yes	—
706	C₂×#41	C₂×#120	1	2	yes	—
707	C₂×#41	C₂×#121	1	2	yes	—
708	C₂×#41	C₂×#121	1	2	yes	—
709	C₂×#41	C₂×#121	1	2	yes	—
710	C₂×#41	#534	1	2	yes	—
711	C₂×#41	#534	1	2	yes	—
712	C₂×#41	#534	1	2	yes	—
713	C₂×#41	D₄²	1	2	yes	—
714	C₂×#41	D₄²	1	2	yes	—
715	C₂×#41	D₄²	1	2	yes	—
716	C₂×#41	D₄²	1	2	yes	—
717	C₂×#41	D₄²	1	2	yes	—
718	C₂×#41	D₄²	1	2	yes	—
719	C₂×#41	#546	1	2	yes	—
720	C₂×#41	#546	1	2	yes	—
721	C₂×#41	#546	1	2	yes	—
722	C₂×#41	#546	1	2	yes	—
723	C₂×#41	#546	1	2	yes	—
724	C₂×#41	#546	1	2	yes	—
725	C₂×#41	C₂³×D₄	1	4	yes	—
726	C₂×#41	C₂³×D₄	1	4	yes	—
727	C₂×#41	C₂³×D₄	1	4	yes	—
728	C₂×#41	C₂³×D₄	1	1	yes	characteristic
729	C₂×#41	C₂³×D₄	1	2	yes	—
730	C₂×#41	C₂³×D₄	1	1	yes	characteristic
731	C₂×#41	C₂³×D₄	1	2	yes	—
732	C₂×#41	C₂³×D₄	1	1	yes	characteristic
733	C₂×#41	C₂³×D₄	1	2	yes	—
734	C₂×#41	C₂³×D₄	1	2	yes	—
735	C₂×#41	C₂³×D₄	1	1	yes	characteristic
736	C₂×#41	C₂²×#41	1	2	yes	—
737	C₂×#41	C₂²×#41	1	1	yes	characteristic
738	C₂×#41	C₂×H(5,𝔽₂)	1	2	yes	—
739	C₂×#41	C₂×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂×#41	C₂×H(5,𝔽₂)	1	2	yes	—
741	C₂×#41	C₂×H(5,𝔽₂)	1	1	yes	characteristic
742	C₂×#41	C₂⁶	1	1	yes	characteristic
743	C₂²×Q₈	C₂×#120	1	2	yes	—
744	C₂²×Q₈	C₂×#120	1	4	yes	—
745	C₂²×Q₈	#534	1	1	yes	characteristic
746	C₂²×Q₈	#534	1	2	yes	—
747	C₂²×Q₈	D₄²	1	1	yes	characteristic
748	C₂²×Q₈	D₄²	1	2	yes	—
749	C₂²×Q₈	#546	1	1	yes	characteristic
750	C₂²×Q₈	#546	1	2	yes	—
751	C₂²×Q₈	C₂³×D₄	1	2	yes	—
752	C₂²×Q₈	C₂³×D₄	1	2	yes	—
753	C₂²×Q₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
754	C₂²×Q₈	C₂×H(5,𝔽₂)	1	2	yes	—
755	C₂²×D₄	B(4,𝔽₂)	1	2	yes	—
756	C₂²×D₄	B(4,𝔽₂)	1	2	yes	—
757	C₂²×D₄	B(4,𝔽₂)	1	4	yes	—
758	C₂²×D₄	C₂×#120	1	2	yes	—
759	C₂²×D₄	C₂×#120	1	4	yes	—
760	C₂²×D₄	C₂×#120	1	2	yes	—
761	C₂²×D₄	C₂×#120	1	4	yes	—
762	C₂²×D₄	C₂×#120	1	4	yes	—
763	C₂²×D₄	C₂×#120	1	8	yes	—
764	C₂²×D₄	C₂×#120	1	4	yes	—
765	C₂²×D₄	C₂×#120	1	8	yes	—
766	C₂²×D₄	C₂×#120	1	2	yes	—
767	C₂²×D₄	C₂×#120	1	4	yes	—
768	C₂²×D₄	C₂×#120	1	4	yes	—
769	C₂²×D₄	C₂×#120	1	8	yes	—
770	C₂²×D₄	C₂×#121	1	1	yes	characteristic
771	C₂²×D₄	C₂×#121	1	1	yes	characteristic
772	C₂²×D₄	C₂×#121	1	2	yes	—
773	C₂²×D₄	C₂×#121	1	2	yes	—
774	C₂²×D₄	#534	1	1	yes	characteristic
775	C₂²×D₄	#534	1	2	yes	—
776	C₂²×D₄	D₄²	1	1	yes	characteristic
777	C₂²×D₄	D₄²	1	2	yes	—
778	C₂²×D₄	D₄²	1	1	yes	characteristic
779	C₂²×D₄	D₄²	1	2	yes	—
780	C₂²×D₄	D₄²	1	1	yes	characteristic
781	C₂²×D₄	D₄²	1	2	yes	—
782	C₂²×D₄	#546	1	1	yes	characteristic
783	C₂²×D₄	#546	1	2	yes	—
784	C₂²×D₄	#546	1	1	yes	characteristic
785	C₂²×D₄	#546	1	2	yes	—
786	C₂²×D₄	#546	1	1	yes	characteristic
787	C₂²×D₄	#546	1	2	yes	—
788	C₂²×D₄	C₂³×D₄	1	4	yes	—
789	C₂²×D₄	C₂³×D₄	1	4	yes	—
790	C₂²×D₄	C₂³×D₄	1	2	yes	—
791	C₂²×D₄	C₂³×D₄	1	4	yes	—
792	C₂²×D₄	C₂³×D₄	1	2	yes	—
793	C₂²×D₄	C₂³×D₄	1	4	yes	—
794	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
795	C₂²×D₄	C₂³×D₄	1	2	yes	—
796	C₂²×D₄	C₂²×#41	1	1	yes	characteristic
797	C₂²×D₄	C₂²×#41	1	2	yes	—
798	C₂²×D₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
799	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
800	C₂³×C₄	C₂×#120	1	1	yes	characteristic
801	C₂³×C₄	C₂×#120	1	1	yes	characteristic
802	C₂³×C₄	C₂×#120	1	1	yes	characteristic
803	C₂³×C₄	C₂×#120	1	2	yes	—
804	C₂³×C₄	C₂×#120	1	2	yes	—
805	C₂³×C₄	C₂×#120	1	2	yes	—
806	C₂³×C₄	C₂×#120	1	1	yes	characteristic
807	C₂³×C₄	C₂×#121	1	1	yes	characteristic
808	C₂³×C₄	C₂×#121	1	2	yes	—
809	C₂³×C₄	C₂×#121	1	1	yes	characteristic
810	C₂³×C₄	C₂×#121	1	4	yes	—
811	C₂³×C₄	C₂×#121	1	1	yes	characteristic
812	C₂³×C₄	C₂×#121	1	2	yes	—
813	C₂³×C₄	C₂×#121	1	4	yes	—
814	C₂³×C₄	C₂×#121	1	4	yes	—
815	C₂³×C₄	C₂×#121	1	2	yes	—
816	C₂³×C₄	#534	1	1	yes	characteristic
817	C₂³×C₄	#534	1	1	yes	characteristic
818	C₂³×C₄	#534	1	2	yes	—
819	C₂³×C₄	D₄²	1	1	yes	characteristic
820	C₂³×C₄	D₄²	1	2	yes	—
821	C₂³×C₄	D₄²	1	1	yes	characteristic
822	C₂³×C₄	D₄²	1	2	yes	—
823	C₂³×C₄	D₄²	1	1	yes	characteristic
824	C₂³×C₄	#546	1	1	yes	characteristic
825	C₂³×C₄	#546	1	2	yes	—
826	C₂³×C₄	#546	1	1	yes	characteristic
827	C₂³×C₄	#546	1	2	yes	—
828	C₂³×C₄	#546	1	1	yes	characteristic
829	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
830	C₂³×C₄	C₂³×D₄	1	2	yes	—
831	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
832	C₂³×C₄	C₂³×D₄	1	2	yes	—
833	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
834	C₂³×C₄	C₂³×D₄	1	2	yes	—
835	C₂³×C₄	C₂³×D₄	1	2	yes	—
836	C₂³×C₄	C₂³×D₄	1	2	yes	—
837	C₂×M₁₆	C₂³×D₄	1	4	yes	—
838	C₂×M₁₆	C₂³×D₄	1	4	yes	—
839	C₂²×C₈	C₂³×D₄	1	4	yes	—
840	C₂²×C₈	C₂³×D₄	1	4	yes	—
841	#123	C₂×#121	1	2	yes	—
842	#123	C₂×#121	1	4	yes	—
843	#123	C₂×#121	1	2	yes	—
844	#123	C₂×#121	1	4	yes	—
845	#123	C₂×#121	1	2	yes	—
846	#123	C₂×#121	1	4	yes	—
847	#123	C₂×#121	1	2	yes	—
848	#123	C₂×#121	1	4	yes	—
849	#123	C₂³×D₄	1	2	yes	—
850	#123	C₂³×D₄	1	2	yes	—
851	#123	C₂²×#41	1	2	yes	—
852	#123	C₂²×#41	1	2	yes	—
853	#120	C₂×#121	1	2	yes	—
854	#120	C₂×#121	1	4	yes	—
855	#120	C₂×#121	1	4	yes	—
856	#120	C₂×#121	1	2	yes	—
857	#120	C₂×#121	1	2	yes	—
858	#120	C₂×#121	1	4	yes	—
859	#120	C₂×#121	1	4	yes	—
860	#120	C₂×#121	1	2	yes	—
861	#120	C₂³×D₄	1	2	yes	—
862	#120	C₂³×D₄	1	2	yes	—
863	#120	C₂²×#41	1	2	yes	—
864	#120	C₂²×#41	1	2	yes	—
865	#117	C₂×#121	1	4	yes	—
866	#117	C₂×#121	1	4	yes	—
867	#117	C₂×#121	1	2	yes	—
868	#117	C₂×#121	1	2	yes	—
869	#117	C₂³×D₄	1	4	yes	—
870	#117	C₂³×D₄	1	2	yes	—
871	#117	C₂³×D₄	1	2	yes	—
872	#117	C₂³×D₄	1	2	yes	—
873	#117	C₂³×D₄	1	2	yes	—
874	#117	C₂³×D₄	1	2	yes	—
875	#117	C₂³×D₄	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
882	#100	C₂³×D₄	1	8	yes	—
883	#99	C₂³×D₄	1	8	yes	—
884	C₂⁴	#2410	1	1	yes	characteristic
885	C₂⁴	#2410	1	1	yes	characteristic
886	C₂⁴	#2410	1	1	yes	characteristic
887	C₂⁴	#2410	1	2	yes	—
888	C₂⁴	#2410	1	2	yes	—
889	C₂⁴	#2410	1	2	yes	—
890	C₂⁴	#2410	1	1	yes	characteristic
891	C₂⁴	C₂²×#121	1	1	yes	characteristic
892	C₂⁴	C₂²×#121	1	2	yes	—
893	C₂⁴	C₂²×#121	1	2	yes	—
894	C₂⁴	C₂²×#121	1	2	yes	—
895	C₂⁴	C₂×D₄²	1	1	yes	characteristic
896	C₂⁴	C₂×D₄²	1	2	yes	—
897	C₂⁴	C₂×#546	1	1	yes	characteristic
898	C₂⁴	C₂×#546	1	2	yes	—
899	C₂×Q₈	#2410	1	2	yes	—
900	C₂×Q₈	#2410	1	2	yes	—
901	C₂×Q₈	#2410	1	2	yes	—
902	C₂×Q₈	C₂²×#120	1	4	yes	—
903	C₂×Q₈	C₂×#534	1	2	yes	—
904	C₂×Q₈	C₂×#534	1	1	yes	characteristic
905	C₂×Q₈	C₂×D₄²	1	2	yes	—
906	C₂×Q₈	C₂×D₄²	1	1	yes	characteristic
907	C₂×Q₈	C₂×#546	1	2	yes	—
908	C₂×Q₈	C₂×#546	1	1	yes	characteristic
909	C₂×Q₈	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
910	C₂×D₄	#2410	1	2	yes	—
911	C₂×D₄	#2410	1	2	yes	—
912	C₂×D₄	#2410	1	2	yes	—
913	C₂×D₄	#2410	1	2	yes	—
914	C₂×D₄	#2410	1	2	yes	—
915	C₂×D₄	#2410	1	2	yes	—
916	C₂×D₄	#2410	1	2	yes	—
917	C₂×D₄	#2410	1	2	yes	—
918	C₂×D₄	#2410	1	2	yes	—
919	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
920	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
921	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
922	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
923	C₂×D₄	C₂²×#120	1	4	yes	—
924	C₂×D₄	C₂²×#120	1	4	yes	—
925	C₂×D₄	C₂²×#120	1	4	yes	—
926	C₂×D₄	C₂²×#121	1	1	yes	characteristic
927	C₂×D₄	C₂²×#121	1	1	yes	characteristic
928	C₂×D₄	C₂²×#121	1	2	yes	—
929	C₂×D₄	C₂²×#121	1	2	yes	—
930	C₂×D₄	C₂×#534	1	1	yes	characteristic
931	C₂×D₄	C₂×#534	1	2	yes	—
932	C₂×D₄	C₂×D₄²	1	2	yes	—
933	C₂×D₄	C₂×D₄²	1	1	yes	characteristic
934	C₂×D₄	C₂×D₄²	1	1	yes	characteristic
935	C₂×D₄	C₂×D₄²	1	2	yes	—
936	C₂×D₄	C₂×D₄²	1	1	yes	characteristic
937	C₂×D₄	C₂×D₄²	1	2	yes	—
938	C₂×D₄	C₂×#546	1	2	yes	—
939	C₂×D₄	C₂×#546	1	1	yes	characteristic
940	C₂×D₄	C₂×#546	1	1	yes	characteristic
941	C₂×D₄	C₂×#546	1	2	yes	—
942	C₂×D₄	C₂×#546	1	1	yes	characteristic
943	C₂×D₄	C₂×#546	1	2	yes	—
944	C₂×D₄	C₂⁴×D₄	1	1	yes	characteristic
945	C₂×D₄	C₂³×#41	1	1	yes	characteristic
946	C₂×D₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
947	C₂²×C₄	#2410	1	1	yes	characteristic
948	C₂²×C₄	#2410	1	2	yes	—
949	C₂²×C₄	#2410	1	2	yes	—
950	C₂²×C₄	#2410	1	2	yes	—
951	C₂²×C₄	#2410	1	1	yes	characteristic
952	C₂²×C₄	#2410	1	1	yes	characteristic
953	C₂²×C₄	#2410	1	2	yes	—
954	C₂²×C₄	#2410	1	2	yes	—
955	C₂²×C₄	#2410	1	2	yes	—
956	C₂²×C₄	#2410	1	2	yes	—
957	C₂²×C₄	#2410	1	2	yes	—
958	C₂²×C₄	#2410	1	2	yes	—
959	C₂²×C₄	#2410	1	2	yes	—
960	C₂²×C₄	#2410	1	2	yes	—
961	C₂²×C₄	#2410	1	2	yes	—
962	C₂²×C₄	#2410	1	1	yes	characteristic
963	C₂²×C₄	#2410	1	2	yes	—
964	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
965	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
966	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
967	C₂²×C₄	#3026	1	1	yes	characteristic
968	C₂²×C₄	#3026	1	2	yes	—
969	C₂²×C₄	#3026	1	1	yes	characteristic
970	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
971	C₂²×C₄	C₂²×#120	1	2	yes	—
972	C₂²×C₄	C₂²×#120	1	2	yes	—
973	C₂²×C₄	C₂²×#120	1	2	yes	—
974	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
975	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
976	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
977	C₂²×C₄	C₂²×#120	1	2	yes	—
978	C₂²×C₄	C₂²×#121	1	2	yes	—
979	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
980	C₂²×C₄	C₂²×#121	1	2	yes	—
981	C₂²×C₄	C₂²×#121	1	2	yes	—
982	C₂²×C₄	C₂×#534	1	1	yes	characteristic
983	C₂²×C₄	C₂×#534	1	2	yes	—
984	C₂²×C₄	C₂×#534	1	2	yes	—
985	C₂²×C₄	C₂×#534	1	1	yes	characteristic
986	C₂²×C₄	C₂×D₄²	1	2	yes	—
987	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
988	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
989	C₂²×C₄	C₂×D₄²	1	2	yes	—
990	C₂²×C₄	C₂×D₄²	1	2	yes	—
991	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
992	C₂²×C₄	C₂×#546	1	2	yes	—
993	C₂²×C₄	C₂×#546	1	1	yes	characteristic
994	C₂²×C₄	C₂×#546	1	1	yes	characteristic
995	C₂²×C₄	C₂×#546	1	2	yes	—
996	C₂²×C₄	C₂×#546	1	2	yes	—
997	C₂²×C₄	C₂×#546	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1001	C₂²⋊C₄	C₂²×#121	1	2	yes	—
1002	C₂²⋊C₄	C₂²×#121	1	2	yes	—
1003	C₂²⋊C₄	C₂²×#121	1	2	yes	—
1004	C₂²⋊C₄	C₂²×#121	1	2	yes	—
1005	C₂³	#24404	1	1	yes	characteristic
1006	C₂³	#24404	1	1	yes	characteristic
1007	C₂³	#24404	1	2	yes	—
1008	C₂³	C₂×#2410	1	1	yes	characteristic
1009	C₂³	C₂×#2410	1	1	yes	characteristic
1010	C₂³	C₂×#2410	1	2	yes	—
1011	C₂³	C₂×#2410	1	1	yes	characteristic
1012	C₂³	C₂×#2410	1	1	yes	characteristic
1013	C₂³	C₂×#2410	1	2	yes	—
1014	C₂³	C₂×#2410	1	2	yes	—
1015	C₂³	C₂×#2410	1	2	yes	—
1016	C₂³	C₂³×#121	1	1	yes	characteristic
1017	C₂³	C₂²×D₄²	1	1	yes	characteristic
1018	C₂³	C₂²×#546	1	1	yes	characteristic
1019	D₄	C₂²×B(4,𝔽₂)	1	8	yes	—
1020	C₂×C₄	#24404	1	2	yes	—
1021	C₂×C₄	#24404	1	2	yes	—
1022	C₂×C₄	#24404	1	2	yes	—
1023	C₂×C₄	#24404	1	2	yes	—
1024	C₂×C₄	#24404	1	2	yes	—
1025	C₂×C₄	#24404	1	1	yes	characteristic
1026	C₂×C₄	#24404	1	1	yes	characteristic
1027	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1028	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1029	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1030	C₂×C₄	C₂×#2410	1	2	yes	—
1031	C₂×C₄	C₂×#2410	1	2	yes	—
1032	C₂×C₄	C₂×#2410	1	2	yes	—
1033	C₂×C₄	C₂×#2410	1	2	yes	—
1034	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1035	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1036	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1037	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1038	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1039	C₂×C₄	C₂×#3026	1	1	yes	characteristic
1040	C₂×C₄	C₂×#3026	1	2	yes	—
1041	C₂×C₄	C₂×#3026	1	2	yes	—
1042	C₂×C₄	C₂×#3026	1	1	yes	characteristic
1043	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1044	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1046	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1047	C₂²	C₂×#24404	1	2	yes	—
1048	C₂²	C₂×#24404	1	1	yes	characteristic
1049	C₂²	C₂×#24404	1	2	yes	—
1050	C₂²	C₂×#24404	1	1	yes	characteristic
1051	C₂²	C₂²×#2410	1	1	yes	characteristic
1052	C₄	C₂×#24404	1	2	yes	—
1053	C₄	C₂×#24404	1	1	yes	characteristic
1054	C₄	C₂×#24404	1	2	yes	—
1055	C₄	C₂×#24404	1	1	yes	characteristic
1056	C₄	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1057	C₄	C₂²×#3026	1	1	yes	characteristic
1058	C₂	#72237544	1	2	yes	direct product factor
1059	C₂	C₂²×#24404	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#24404
commutator, Frattini, cosocle	C₂×#41	C₂⁶
LCS	G ▷ C₂×#41 ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂³×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂×#41 ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#501190	C₂	semidirect
2. C₂×#499151	C₂	semidirect
3. C₂×#499126	C₂	semidirect
4. C₂×#498941	C₂	semidirect
5. C₂×#494750	C₂	semidirect
6. C₂×#501196	C₂	semidirect
7. C₂×#501198	C₂	semidirect
8. C₂×#498916	C₂	semidirect
9. C₂×#501188	C₂	semidirect
10. C₂×#6437986	C₂	semidirect
11. C₂×#494361	C₂	semidirect
12. C₂×#493569	C₂	semidirect
13. C₂×#494758	C₂	semidirect
14. C₂×#494587	C₂	semidirect
15. C₂×#10577314	C₂	semidirect
16. C₂²×#33348	C₂	semidirect
17. C₂×#7622868	C₂	semidirect
18. C₂×#6438013	C₂	semidirect
19. #72237544	C₂	direct (N × H)
20. C₂²×#23882	C₂	semidirect
21. C₂²×#3585	C₂²	semidirect
24. #10577314	C₂²	semidirect
25. C₂×#61644	C₂²	semidirect
26. C₂×#61644	C₂²	semidirect
27. C₂×#61631	C₂²	semidirect
28. C₂×#61630	C₂²	semidirect
31. C₂×#60398	C₂²	semidirect
35. C₂×#60387	C₂²	semidirect
36. C₂²×#3021	C₂²	semidirect
38. C₂²×#2888	C₂²	semidirect
39. C₂²×#2883	C₂²	semidirect
40. #7622868	C₂²	semidirect
41. C₂×#33556	C₂²	semidirect
42. C₂×#33555	C₂²	semidirect
43. C₂×#33554	C₂²	semidirect
44. C₂×#33553	C₂²	semidirect
45. C₂×#33369	C₂²	semidirect
46. C₂×#33358	C₂²	semidirect
47. C₂×#33348	C₂²	semidirect
48. C₂×#33348	C₂²	semidirect
49. C₂×#33348	C₂²	semidirect
50. C₂×#33347	C₂²	semidirect
51. C₂×#33347	C₂²	semidirect
52. C₂²×#2122	C₂²	semidirect
53. C₂²×#2122	C₂²	semidirect
56. #6438013	C₂²	semidirect
57. C₂×#24409	C₂²	semidirect
58. C₂×#24408	C₂²	semidirect
59. #6437986	C₂²	semidirect
60. C₂×#24421	C₂²	semidirect
61. C₂×#24420	C₂²	semidirect
63. C₂×#23882	C₂²	semidirect
64. C₂×#23882	C₂²	semidirect
65. C₂×#21017	C₂²	semidirect
66. C₂×#21009	C₂²	semidirect
67. C₂²×#1910	C₂²	semidirect
69. C₂×#20892	C₂²	semidirect
70. C₂×#20860	C₂²	semidirect
71. C₂²×#1795	C₂²	semidirect
72. C₂×#20620	C₂²	semidirect
73. C₂×#20612	C₂²	semidirect
74. #501198	C₂²	semidirect
75. #501196	C₂²	semidirect
76. #501190	C₂²	semidirect
77. #501188	C₂²	semidirect
78. #499151	C₂²	semidirect
79. C₂×#13433	C₂²	semidirect
80. C₂×#13432	C₂²	semidirect
81. #499126	C₂²	semidirect
82. C₂×#13437	C₂²	semidirect
83. C₂×#13436	C₂²	semidirect
84. #498941	C₂²	semidirect
85. C₂×#13354	C₂²	semidirect
86. C₂×#13353	C₂²	semidirect
87. #498916	C₂²	semidirect
88. C₂×#13361	C₂²	semidirect
89. C₂×#13360	C₂²	semidirect
90. #494758	C₂²	semidirect
91. C₂×#13102	C₂²	semidirect
92. C₂×#13100	C₂²	semidirect
93. #494750	C₂²	semidirect
94. C₂×#13099	C₂²	semidirect
95. C₂×#13097	C₂²	semidirect
96. #494587	C₂²	semidirect
97. C₂×#13046	C₂²	semidirect
98. C₂×#13045	C₂²	semidirect
99. #494361	C₂²	semidirect
100. C₂×#12963	C₂²	semidirect
101. C₂×#12962	C₂²	semidirect
102. #493569	C₂²	semidirect
103. C₂×#12758	C₂²	semidirect
104. C₂×#12756	C₂²	semidirect
105. C₂×#12757	C₂²	semidirect
106. C₂×#12755	C₂²	semidirect
107. C₂×#12589	C₂²	semidirect
108. C₂×#12589	C₂²	semidirect
109. C₂×#12579	C₂²	semidirect
110. C₂×#12577	C₂²	semidirect
113. C₂⁵×D₄	D₄	semidirect
115. C₂×#3585	C₂³	semidirect
116. C₂²×#575	D₄	semidirect
117. C₂²×#575	D₄	semidirect
118. C₂³×AGL(1,ℤ/8)	D₄	semidirect
119. C₂³×AGL(1,ℤ/8)	D₄	semidirect
121. C₂×#3484	D₄	semidirect
122. C₂×#3484	D₄	semidirect
123. C₂×#3484	D₄	semidirect
134. C₂²×#535	D₄	semidirect
136. C₂²×#525	D₄	semidirect
138. C₂²×#518	D₄	semidirect
139. #61644	C₂³	semidirect
140. #61644	C₂³	semidirect
141. #61631	C₂³	semidirect
142. #61630	C₂³	semidirect
149. #60398	C₂³	semidirect
150. C₂×#3028	C₂³	semidirect
151. C₂×#3027	C₂³	semidirect
155. #60387	C₂³	semidirect
156. C₂×#3022	C₂³	semidirect
158. C₂×#3021	C₂³	semidirect
159. C₂×#3021	C₂³	semidirect
160. #60367	D₄	semidirect
161. #60367	D₄	semidirect
164. C₂×#3009	D₄	semidirect
165. C₂×#3009	D₄	semidirect
168. C₂×#3008	D₄	semidirect
169. C₂×#3008	D₄	semidirect
175. C₂×#2896	D₄	semidirect
176. C₂×#2896	D₄	semidirect
177. C₂²×#418	D₄	semidirect
178. C₂²×#418	D₄	semidirect
180. C₂×#2888	C₂³	semidirect
185. C₂×#2883	C₂³	semidirect
191. #33556	C₂³	semidirect
192. #33555	C₂³	semidirect
193. #33554	C₂³	semidirect
194. #33553	C₂³	semidirect
195. #33369	C₂³	semidirect
196. C₂×#2135	C₂³	semidirect
197. C₂×#2134	C₂³	semidirect
198. #33358	C₂³	semidirect
199. C₂×#2129	C₂³	semidirect
200. C₂×#2128	C₂³	semidirect
201. #33348	C₂³	semidirect
202. #33348	C₂³	semidirect
203. #33347	C₂³	semidirect
204. #33347	C₂³	semidirect
205. C₂×#2123	C₂³	semidirect
206. C₂×#2123	C₂³	semidirect
209. C₂×#2122	C₂³	semidirect
210. C₂×#2122	C₂³	semidirect
211. C₂×#2122	C₂³	semidirect
212. C₂×#2122	C₂³	semidirect
224. #24421	C₂³	semidirect
225. #24420	C₂³	semidirect
226. #24409	C₂³	semidirect
227. #24408	C₂³	semidirect
229. #23882	C₂³	semidirect
230. #21017	C₂³	semidirect
231. C₂×#1915	C₂³	semidirect
232. C₂×#1914	C₂³	semidirect
233. #21009	C₂³	semidirect
235. C₂×#1910	C₂³	semidirect
236. C₂×#1910	C₂³	semidirect
237. C₂×#1909	C₂³	semidirect
241. #20892	C₂³	semidirect
242. C₂×#1868	C₂³	semidirect
243. #20860	C₂³	semidirect
244. C₂×#1858	C₂³	semidirect
246. C₂×#1795	C₂³	semidirect
247. #20620	C₂³	semidirect
248. C₂×#1794	C₂³	semidirect
249. #20612	C₂³	semidirect
250. C₂×#1791	C₂³	semidirect
251. #13437	C₂³	semidirect
252. #13436	C₂³	semidirect
253. #13433	C₂³	semidirect
254. #13432	C₂³	semidirect
255. #13361	C₂³	semidirect
256. #13360	C₂³	semidirect
257. #13354	C₂³	semidirect
258. #13353	C₂³	semidirect
259. #13102	C₂³	semidirect
260. #13100	C₂³	semidirect
261. #13099	C₂³	semidirect
262. #13097	C₂³	semidirect
263. #13046	C₂³	semidirect
264. #13045	C₂³	semidirect
265. #12963	C₂³	semidirect
266. #12962	C₂³	semidirect
267. #12758	C₂³	semidirect
268. #12757	C₂³	semidirect
269. #12756	C₂³	semidirect
270. #12755	C₂³	semidirect
271. #12589	C₂³	semidirect
272. #12589	C₂³	semidirect
273. C₂×#1395	C₂³	semidirect
274. C₂×#1395	C₂³	semidirect
275. #12579	C₂³	semidirect
276. C₂×#1392	C₂³	semidirect
277. #12577	C₂³	semidirect
278. C₂×#1391	C₂³	semidirect
301. C₂⁴×D₄	C₂×D₄	semidirect
304. C₂×#575	C₂×D₄	semidirect
305. C₂×#575	C₂×D₄	semidirect
306. C₂²×#137	C₂×D₄	semidirect
307. C₂²×#137	C₂×D₄	semidirect
308. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
309. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
310. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
311. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
312. C₂³×SD₁₆	C₂×D₄	semidirect
313. C₂³×SD₁₆	C₂×D₄	semidirect
314. C₂³×D₈	C₂×D₄	semidirect
315. C₂³×D₈	C₂×D₄	semidirect
328. #3484	C₂×D₄	semidirect
329. #3484	C₂×D₄	semidirect
346. C₂×#535	C₂×D₄	semidirect
359. C₂×#525	C₂×D₄	semidirect
372. C₂×#518	C₂×D₄	semidirect
381. #3028	C₂⁴	semidirect
382. #3027	C₂⁴	semidirect
385. #3022	C₂⁴	semidirect
387. #3021	C₂⁴	semidirect
388. #3009	C₂×D₄	semidirect
389. #3009	C₂×D₄	semidirect
390. #3009	C₂×D₄	semidirect
391. #3009	C₂×D₄	semidirect
394. #3008	C₂×D₄	semidirect
395. #3008	C₂×D₄	semidirect
396. #3008	C₂×D₄	semidirect
397. #3008	C₂×D₄	semidirect
402. #2896	C₂×D₄	semidirect
403. #2896	C₂×D₄	semidirect
404. C₂×#418	C₂×D₄	semidirect
405. C₂×#418	C₂×D₄	semidirect
406. C₂×#418	C₂×D₄	semidirect
407. C₂×#418	C₂×D₄	semidirect
408. C₂×#418	C₂×D₄	semidirect
409. C₂×#418	C₂×D₄	semidirect
410. C₂×#416	C₂×D₄	semidirect
411. C₂×#416	C₂×D₄	semidirect
412. C₂×#416	C₂×D₄	semidirect
413. C₂×#416	C₂×D₄	semidirect
442. #2135	C₂⁴	semidirect
443. #2134	C₂⁴	semidirect
444. #2129	C₂⁴	semidirect
445. #2128	C₂⁴	semidirect
446. #2123	C₂⁴	semidirect
447. #2123	C₂⁴	semidirect
450. #2122	C₂⁴	semidirect
451. #2122	C₂⁴	semidirect
466. #1915	C₂⁴	semidirect
467. #1914	C₂⁴	semidirect
469. #1910	C₂⁴	semidirect
470. #1909	C₂⁴	semidirect
473. #1868	C₂⁴	semidirect
474. #1858	C₂⁴	semidirect
476. #1794	C₂⁴	semidirect
477. #1791	C₂⁴	semidirect
478. #1395	C₂⁴	semidirect
479. #1395	C₂⁴	semidirect
480. #1392	C₂⁴	semidirect
481. #1391	C₂⁴	semidirect
562. C₂×#137	C₂²×D₄	semidirect
563. C₂×#137	C₂²×D₄	semidirect
564. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
565. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
566. C₂²×SD₁₆	C₂²×D₄	semidirect
567. C₂²×SD₁₆	C₂²×D₄	semidirect
568. C₂²×D₈	C₂²×D₄	semidirect
569. C₂²×D₈	C₂²×D₄	semidirect
660. #418	C₂²×D₄	semidirect
661. #418	C₂²×D₄	semidirect
662. #418	C₂²×D₄	semidirect
663. #418	C₂²×D₄	semidirect
664. #416	C₂²×D₄	semidirect
665. #416	C₂²×D₄	semidirect
666. #416	C₂²×D₄	semidirect
667. #416	C₂²×D₄	semidirect
1058. C₂	#72237544	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×#501190	2
C₂×#499151	2
C₂×#499126	2
C₂×#498941	2
C₂×#494750	2
C₂×#501196	2
C₂×#501198	2
C₂×#498916	2
C₂×#501188	2
C₂×#6437986	2
C₂×#494361	2
C₂×#493569	2
C₂×#494758	2
C₂×#494587	2
C₂×#10577314	2
C₂²×#33348	2
C₂×#7622868	2
C₂×#6438013	2
#72237544	2
C₂²×#23882	2

Subgroups — C2×#72237544 #72337524

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72237544 #72337524