Subgroups — C₂×#72216660 #72275402

Order 2048.

At least 9691 conjugacy classes of subgroups; only the 6656 normal subgroups are shown.

The subgroup lattice has 850 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×#374038	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#417526	C₂	1	2	yes	maximal, complemented
3	C₂×#417508	C₂	1	2	yes	maximal, complemented
4	C₂×#394174	C₂	1	2	yes	maximal, complemented
5	C₂×#364513	C₂	1	2	yes	maximal, complemented
6	C₂×#394267	C₂	1	2	yes	maximal, complemented
7	C₂×#364471	C₂	1	2	yes	maximal, complemented
8	C₂×#417821	C₂	1	2	yes	maximal, complemented
9	C₂×#359501	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂⁴×B(4,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#359579	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#394066	C₂	1	2	yes	maximal, complemented
13	C₂×#612424	C₂	1	2	yes	maximal, complemented
14	C₂²×D₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#7631286	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#32898	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#394058	C₂	1	2	yes	maximal, complemented
18	C₂²×#23900	C₂	1	2	yes	maximal, complemented
19	C₂×#449475	C₂	1	2	yes	maximal, complemented
20	#72216660	C₂	1	32	yes	maximal, direct product factor
21	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#3484	C₂²	1	2	yes	complemented
24	C₂³×D₄²	C₂²	1	1	yes	characteristic
25	C₂⁴×#120	C₂²	1	1	yes	characteristic
26	C₂⁴×#120	C₂²	1	2	yes	complemented
27	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
28	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	—
29	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
30	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
31	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
32	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
33	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
34	C₂³×B(4,𝔽₂)	C₂²	1	16	yes	complemented
35	C₂⁴×#99	C₂²	1	1	yes	characteristic, complemented
36	C₂⁴×#99	C₂²	1	2	yes	complemented
37	C₂²×#2847	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#2846	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#2846	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#2846	C₂²	1	4	yes	complemented
41	#7631286	C₂²	1	16	yes	complemented
42	C₂×D₄×#120	C₂²	1	16	yes	complemented
43	C₂×#35347	C₂²	1	2	yes	complemented
44	C₂×#35346	C₂²	1	2	yes	complemented
45	C₂×#34980	C₂²	1	2	yes	complemented
46	C₂²×#2433	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#2408	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2410	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#2410	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#2403	C₂²	1	2	yes	—
51	C₂²×#2403	C₂²	1	1	yes	characteristic
52	C₂²×#2403	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#2403	C₂²	1	2	yes	complemented
54	C₂×#34256	C₂²	1	2	yes	complemented
55	C₂×#34171	C₂²	1	1	yes	characteristic, complemented
56	C₂²×D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₄×#120	C₂²	1	1	yes	characteristic, complemented
58	C₂×#32898	C₂²	1	16	yes	complemented
59	C₂×#23900	C₂²	1	32	yes	complemented
60	C₂²×#2021	C₂²	1	4	yes	complemented
61	C₂²×#2021	C₂²	1	4	yes	complemented
62	C₂²×#2021	C₂²	1	4	yes	complemented
63	C₂²×#1898	C₂²	1	4	yes	complemented
64	C₂²×#1898	C₂²	1	2	yes	complemented
65	C₂²×#1889	C₂²	1	2	yes	complemented
66	C₂²×#1889	C₂²	1	2	yes	complemented
67	C₂²×#1889	C₂²	1	2	yes	complemented
68	C₂²×#1790	C₂²	1	2	yes	complemented
69	C₂²×#1790	C₂²	1	2	yes	complemented
70	C₂²×#1781	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#1781	C₂²	1	2	yes	complemented
72	C₂²×#1781	C₂²	1	2	yes	complemented
73	#612424	C₂²	1	32	yes	complemented
74	C₂×#14715	C₂²	1	4	yes	complemented
75	C₂×#14715	C₂²	1	4	yes	complemented
76	C₂×#14694	C₂²	1	4	yes	complemented
77	C₂×#14679	C₂²	1	2	yes	complemented
78	C₂×#13867	C₂²	1	2	yes	complemented
79	C₂×#13867	C₂²	1	2	yes	complemented
80	#449475	C₂²	1	32	yes	complemented
81	#417821	C₂²	1	32	yes	complemented
82	#417526	C₂²	1	32	yes	complemented
83	#417508	C₂²	1	32	yes	complemented
84	#394267	C₂²	1	32	yes	complemented
85	#394174	C₂²	1	32	yes	complemented
86	#394066	C₂²	1	32	yes	complemented
87	#394058	C₂²	1	32	yes	complemented
88	#374038	C₂²	1	16	yes	complemented
89	#364513	C₂²	1	32	yes	complemented
90	#364471	C₂²	1	32	yes	complemented
91	#359579	C₂²	1	16	yes	complemented
92	#359501	C₂²	1	16	yes	complemented
93	C₂×#11174	C₂²	1	2	yes	complemented
94	C₂×#11087	C₂²	1	4	yes	complemented
95	C₂×#11043	C₂²	1	4	yes	complemented
96	C₂×#10991	C₂²	1	2	yes	complemented
97	C₂×#10991	C₂²	1	2	yes	complemented
98	C₂×#10991	C₂²	1	4	yes	complemented
99	C₂×#10991	C₂²	1	4	yes	complemented
100	C₂×#10991	C₂²	1	4	yes	complemented
101	C₂×#10991	C₂²	1	2	yes	complemented
102	C₂×#10995	C₂²	1	4	yes	complemented
103	C₂×#10980	C₂²	1	2	yes	complemented
104	C₂×#10965	C₂²	1	2	yes	complemented
105	C₂×#10965	C₂²	1	4	yes	complemented
106	C₂×#10960	C₂²	1	4	yes	complemented
107	C₂×#10745	C₂²	1	2	yes	complemented
108	C₂×#10735	C₂²	1	2	yes	complemented
109	C₂×#10735	C₂²	1	2	yes	complemented
110	C₂×#10761	C₂²	1	2	yes	complemented
111	C₂⁸	C₂³	1	1	yes	characteristic
112	C₂⁸	C₂³	1	1	yes	characteristic, complemented
113	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
114	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
115	C₂³×H(5,𝔽₂)	C₂³	1	8	yes	complemented
116	C₂⁵×D₄	D₄	1	1	yes	characteristic, complemented
117	C₂⁵×D₄	C₂³	1	1	yes	characteristic
118	C₂⁵×D₄	C₂³	1	2	yes	—
119	C₂⁵×D₄	C₂³	1	1	yes	characteristic
120	C₂⁵×D₄	C₂³	1	1	yes	characteristic
121	C₂⁵×D₄	C₂³	1	1	yes	characteristic
122	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
123	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
124	C₂⁵×D₄	C₂³	1	8	yes	complemented
125	C₂⁶×C₄	C₂³	1	1	yes	characteristic, complemented
126	C₂×#3484	C₂³	1	16	yes	complemented
127	C₂²×D₄²	D₄	1	8	yes	complemented
128	C₂²×D₄²	C₂³	1	8	yes	—
129	C₂²×#534	C₂³	1	4	yes	—
130	C₂³×#127	D₄	1	1	yes	characteristic, complemented
131	C₂³×#121	D₄	1	1	yes	characteristic, complemented
132	C₂³×#121	D₄	1	1	yes	characteristic, complemented
133	C₂³×#121	D₄	1	1	yes	characteristic, complemented
134	C₂³×#121	C₂³	1	1	yes	characteristic
135	C₂³×#120	D₄	1	16	yes	complemented
136	C₂³×#120	D₄	1	1	yes	characteristic, complemented
137	C₂³×#120	D₄	1	1	yes	characteristic, complemented
138	C₂³×#120	D₄	1	4	yes	complemented
139	C₂³×#120	C₂³	1	1	yes	characteristic
140	C₂³×#120	C₂³	1	1	yes	characteristic
141	C₂³×#120	C₂³	1	4	yes	—
142	C₂³×#120	C₂³	1	4	yes	—
143	C₂³×#120	C₂³	1	4	yes	—
144	C₂³×#120	C₂³	1	1	yes	characteristic
145	C₂³×#120	C₂³	1	8	yes	—
146	C₂³×#120	C₂³	1	1	yes	characteristic
147	C₂³×#120	C₂³	1	1	yes	characteristic
148	C₂³×#120	C₂³	1	1	yes	characteristic
149	C₂³×#120	C₂³	1	1	yes	characteristic
150	C₂³×#120	C₂³	1	4	yes	—
151	C₂³×#120	C₂³	1	1	yes	characteristic
152	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
153	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
154	C₂³×#120	C₂³	1	16	yes	complemented
155	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
156	C₂³×#120	C₂³	1	8	yes	complemented
157	C₂²×#518	C₂³	1	2	yes	—
158	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
159	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
160	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
162	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
163	C₂²×B(4,𝔽₂)	D₄	1	32	yes	complemented
164	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	—
165	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
166	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
167	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
168	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
169	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
170	C₂³×#99	C₂³	1	2	yes	—
171	C₂³×#99	C₂³	1	4	yes	—
172	C₂³×#99	C₂³	1	2	yes	—
173	C₂³×#99	C₂³	1	4	yes	—
174	C₂³×#99	C₂³	1	4	yes	—
175	C₂³×#99	C₂³	1	4	yes	—
176	C₂³×#99	C₂³	1	2	yes	—
177	C₂³×#99	C₂³	1	2	yes	—
178	C₂³×#99	C₂³	1	8	yes	complemented
179	C₂³×#99	C₂³	1	16	yes	complemented
180	C₂³×#99	C₂³	1	4	yes	complemented
181	C₂×#2847	C₂³	1	8	yes	complemented
182	C₂×#2846	C₂³	1	8	yes	complemented
183	C₂×#2846	C₂³	1	8	yes	complemented
184	C₂×#2846	C₂³	1	32	yes	complemented
185	#35347	C₂³	1	16	yes	complemented
186	#35346	C₂³	1	16	yes	complemented
187	#34980	C₂³	1	16	yes	complemented
188	C₂×#2433	C₂³	1	8	yes	complemented
189	C₂×#2408	C₂³	1	8	yes	complemented
190	C₂×#2410	C₂³	1	8	yes	complemented
191	C₂×#2410	C₂³	1	8	yes	complemented
192	C₂×#2403	D₄	1	16	yes	complemented
193	C₂×#2403	D₄	1	16	yes	complemented
194	C₂×#2403	C₂³	1	8	yes	—
195	C₂×#2403	C₂³	1	16	yes	—
196	C₂×#2403	C₂³	1	16	yes	complemented
197	C₂×#2403	C₂³	1	8	yes	complemented
198	C₂²×#392	D₄	1	8	yes	complemented
199	#34256	C₂³	1	16	yes	complemented
200	#34171	C₂³	1	8	yes	complemented
201	C₂×D₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
202	C₂×#2308	C₂³	1	2	yes	—
203	C₂×#2308	C₂³	1	4	yes	—
204	C₂×C₄×#120	C₂³	1	8	yes	complemented
205	C₂²×#386	D₄	1	4	yes	complemented
206	C₂²×#386	C₂³	1	4	yes	—
207	C₂²×#386	C₂³	1	1	yes	characteristic
208	C₂²×#386	C₂³	1	1	yes	characteristic
209	C₂²×#386	C₂³	1	4	yes	—
210	C₂²×#386	C₂³	1	1	yes	characteristic, complemented
211	C₂²×#385	C₂³	1	1	yes	characteristic, complemented
212	C₂²×#380	C₂³	1	1	yes	characteristic, complemented
213	C₂²×#379	C₂³	1	2	yes	—
214	C₂²×#379	C₂³	1	1	yes	characteristic
215	C₂²×#379	C₂³	1	2	yes	—
216	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
217	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
218	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
219	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
220	C₂²×#379	C₂³	1	4	yes	complemented
221	C₂²×#379	C₂³	1	4	yes	complemented
222	C₂²×#379	C₂³	1	4	yes	complemented
223	C₂²×#379	C₂³	1	4	yes	complemented
224	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
225	C₂×#2021	C₂³	1	32	yes	complemented
226	C₂×#2021	C₂³	1	32	yes	complemented
227	C₂×#2021	C₂³	1	32	yes	complemented
228	C₂×#1898	C₂³	1	32	yes	complemented
229	C₂×#1898	C₂³	1	16	yes	complemented
230	C₂×#1889	C₂³	1	16	yes	complemented
231	C₂×#1889	C₂³	1	16	yes	complemented
232	C₂×#1889	C₂³	1	16	yes	complemented
233	C₂×#1790	C₂³	1	16	yes	complemented
234	C₂×#1790	C₂³	1	16	yes	complemented
235	C₂×#1781	C₂³	1	16	yes	complemented
236	C₂×#1781	C₂³	1	8	yes	complemented
237	C₂×#1781	C₂³	1	16	yes	complemented
238	C₂²×#342	C₂³	1	4	yes	complemented
239	C₂²×#342	C₂³	1	4	yes	complemented
240	C₂²×#342	C₂³	1	4	yes	complemented
241	C₂²×#342	C₂³	1	4	yes	complemented
242	C₂²×#342	C₂³	1	4	yes	complemented
243	#14715	C₂³	1	32	yes	complemented
244	#14715	C₂³	1	32	yes	complemented
245	#14694	C₂³	1	32	yes	complemented
246	#14679	C₂³	1	16	yes	complemented
247	#13867	C₂³	1	16	yes	complemented
248	#13867	C₂³	1	16	yes	complemented
249	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
250	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
251	#11174	C₂³	1	16	yes	complemented
252	#11087	C₂³	1	32	yes	complemented
253	#11043	C₂³	1	32	yes	complemented
254	#10995	C₂³	1	32	yes	complemented
255	#10991	C₂³	1	16	yes	complemented
256	#10991	C₂³	1	32	yes	complemented
257	#10991	C₂³	1	16	yes	complemented
258	#10991	C₂³	1	32	yes	complemented
259	#10991	C₂³	1	32	yes	complemented
260	#10991	C₂³	1	16	yes	complemented
261	#10980	C₂³	1	16	yes	complemented
262	#10965	C₂³	1	32	yes	complemented
263	#10965	C₂³	1	16	yes	complemented
264	#10960	C₂³	1	32	yes	complemented
265	#10761	C₂³	1	16	yes	complemented
266	#10745	C₂³	1	16	yes	complemented
267	#10735	C₂³	1	16	yes	complemented
268	#10735	C₂³	1	16	yes	complemented
269	C₂⁷	C₂×D₄	1	1	yes	characteristic
270	C₂⁷	C₂×D₄	1	2	yes	complemented
271	C₂⁷	C₂×D₄	1	8	yes	complemented
272	C₂⁷	C₂×D₄	1	1	yes	characteristic, complemented
273	C₂⁷	C₂⁴	1	1	yes	characteristic
274	C₂⁷	C₂⁴	1	1	yes	characteristic
275	C₂⁷	C₂⁴	1	1	yes	characteristic
276	C₂⁷	C₂⁴	1	1	yes	characteristic
277	C₂⁷	C₂⁴	1	4	yes	—
278	C₂⁷	C₂⁴	1	1	yes	characteristic
279	C₂⁷	C₂⁴	1	4	yes	complemented
280	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	complemented
281	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
282	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
283	C₂⁴×D₄	C₂×D₄	1	8	yes	—
284	C₂⁴×D₄	C₂×D₄	1	8	yes	—
285	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
286	C₂⁴×D₄	C₂×D₄	1	4	yes	—
287	C₂⁴×D₄	C₂×D₄	1	4	yes	—
288	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
289	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
290	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
291	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
292	C₂⁴×D₄	C₂×D₄	1	4	yes	—
293	C₂⁴×D₄	C₂×D₄	1	8	yes	—
294	C₂⁴×D₄	C₂×D₄	1	4	yes	—
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	4	yes	complemented
299	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
300	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
301	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
302	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
303	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
304	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
305	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
306	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
307	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
308	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
309	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
310	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
311	C₂⁴×D₄	C₂⁴	1	4	yes	—
312	C₂⁴×D₄	C₂⁴	1	4	yes	—
313	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
314	C₂⁴×D₄	C₂⁴	1	8	yes	—
315	C₂⁴×D₄	C₂⁴	1	4	yes	—
316	C₂⁴×D₄	C₂⁴	1	4	yes	—
317	C₂⁴×D₄	C₂⁴	1	4	yes	—
318	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
319	C₂⁴×D₄	C₂⁴	1	4	yes	complemented
320	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
321	C₂⁵×C₄	C₂×D₄	1	2	yes	complemented
322	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic, complemented
323	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic, complemented
324	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
325	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
326	C₂⁵×C₄	C₂⁴	1	4	yes	complemented
327	C₂×#534	C₂⁴	1	16	yes	—
328	C₂²×#127	C₂×D₄	1	8	yes	complemented
329	C₂²×#121	C₂×D₄	1	8	yes	complemented
330	C₂²×#121	C₂×D₄	1	8	yes	complemented
331	C₂²×#121	C₂×D₄	1	4	yes	complemented
332	C₂²×#121	C₂×D₄	1	8	yes	complemented
333	C₂²×#121	C₂⁴	1	4	yes	—
334	C₂²×#120	C₂×D₄	1	8	yes	—
335	C₂²×#120	C₂×D₄	1	16	yes	—
336	C₂²×#120	C₂×D₄	1	8	yes	—
337	C₂²×#120	C₂×D₄	1	4	yes	—
338	C₂²×#120	C₂×D₄	1	8	yes	complemented
339	C₂²×#120	C₂×D₄	1	8	yes	complemented
340	C₂²×#120	C₂×D₄	1	32	yes	complemented
341	C₂²×#120	C₂×D₄	1	8	yes	complemented
342	C₂²×#120	C₂×D₄	1	8	yes	complemented
343	C₂²×#120	C₂×D₄	1	64	yes	complemented
344	C₂²×#120	C₂×D₄	1	4	yes	complemented
345	C₂²×#120	C₂×D₄	1	16	yes	complemented
346	C₂²×#120	C₂×D₄	1	8	yes	complemented
347	C₂²×#120	C₂×D₄	1	8	yes	complemented
348	C₂²×#120	C₂×D₄	1	32	yes	complemented
349	C₂²×#120	C₂⁴	1	4	yes	—
350	C₂²×#120	C₂⁴	1	4	yes	—
351	C₂²×#120	C₂⁴	1	16	yes	—
352	C₂²×#120	C₂⁴	1	16	yes	—
353	C₂²×#120	C₂⁴	1	4	yes	—
354	C₂²×#120	C₂⁴	1	16	yes	—
355	C₂²×#120	C₂⁴	1	4	yes	—
356	C₂²×#120	C₂⁴	1	4	yes	—
357	C₂²×#120	C₂⁴	1	4	yes	—
358	C₂²×#120	C₂⁴	1	4	yes	—
359	C₂²×#120	C₂⁴	1	4	yes	—
360	C₂²×#120	C₂⁴	1	16	yes	—
361	C₂²×#120	C₂⁴	1	4	yes	complemented
362	C₂²×#120	C₂⁴	1	4	yes	complemented
363	C₂²×#120	C₂⁴	1	4	yes	complemented
364	C₂×#518	C₂⁴	1	8	yes	—
365	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
366	C₂²×C₄×D₄	C₂×D₄	1	4	yes	complemented
367	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
368	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
369	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
370	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
372	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
373	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
374	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
375	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
376	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
377	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
378	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
379	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
380	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
381	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
382	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
383	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
384	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
385	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
386	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
387	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
388	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
389	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
390	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
391	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
392	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
393	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic, complemented
394	C₂×B(4,𝔽₂)	C₂×D₄	1	128	yes	complemented
395	C₂²×#99	C₂×D₄	1	16	yes	complemented
396	C₂²×#99	C₂×D₄	1	32	yes	complemented
397	C₂²×#99	C₂⁴	1	8	yes	—
398	C₂²×#99	C₂⁴	1	16	yes	—
399	C₂²×#99	C₂⁴	1	8	yes	—
400	C₂²×#99	C₂⁴	1	16	yes	—
401	C₂²×#99	C₂⁴	1	16	yes	—
402	C₂²×#99	C₂⁴	1	8	yes	—
403	C₂²×#99	C₂⁴	1	16	yes	—
404	C₂²×#99	C₂⁴	1	8	yes	—
405	C₂²×#99	C₂⁴	1	16	yes	complemented
406	#2403	C₂×D₄	1	64	yes	complemented
407	C₂×#392	C₂×D₄	1	64	yes	complemented
408	#2308	C₂⁴	1	8	yes	—
409	#2308	C₂⁴	1	16	yes	—
410	C₂×#386	C₂×D₄	1	8	yes	complemented
411	C₂×#386	C₂×D₄	1	8	yes	complemented
412	C₂×#386	C₂×D₄	1	16	yes	complemented
413	C₂×#386	C₂×D₄	1	32	yes	complemented
414	C₂×#386	C₂⁴	1	16	yes	—
415	C₂×#386	C₂⁴	1	4	yes	—
416	C₂×#386	C₂⁴	1	4	yes	—
417	C₂×#386	C₂⁴	1	16	yes	—
418	C₂×#386	C₂⁴	1	4	yes	complemented
419	C₂×#385	C₂⁴	1	4	yes	complemented
420	C₂×#380	C₂⁴	1	4	yes	complemented
421	C₂×#379	C₂×D₄	1	8	yes	complemented
422	C₂×#379	C₂×D₄	1	8	yes	complemented
423	C₂×#379	C₂⁴	1	8	yes	—
424	C₂×#379	C₂⁴	1	4	yes	—
425	C₂×#379	C₂⁴	1	8	yes	—
426	C₂×#379	C₂⁴	1	4	yes	complemented
427	C₂×#379	C₂⁴	1	4	yes	complemented
428	C₂×#379	C₂⁴	1	4	yes	complemented
429	C₂×#379	C₂⁴	1	4	yes	complemented
430	C₂×#379	C₂⁴	1	16	yes	complemented
431	C₂×#379	C₂⁴	1	16	yes	complemented
432	C₂×#379	C₂⁴	1	16	yes	complemented
433	C₂×#379	C₂⁴	1	16	yes	complemented
434	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
435	C₂²×#95	C₂×D₄	1	8	yes	complemented
436	C₂×#342	C₂⁴	1	16	yes	complemented
437	C₂×#342	C₂⁴	1	16	yes	complemented
438	C₂×#342	C₂⁴	1	16	yes	complemented
439	C₂×#342	C₂⁴	1	16	yes	complemented
440	C₂×#342	C₂⁴	1	16	yes	complemented
441	C₂²⋊#95	C₂⁴	1	16	yes	complemented
442	C₂²⋊#95	C₂⁴	1	16	yes	complemented
443	C₂⁶	#120	1	8	yes	complemented
444	C₂⁶	C₂²×D₄	1	1	yes	characteristic
445	C₂⁶	C₂²×D₄	1	4	yes	—
446	C₂⁶	C₂²×D₄	1	1	yes	characteristic
447	C₂⁶	C₂²×D₄	1	2	yes	—
448	C₂⁶	C₂²×D₄	1	1	yes	characteristic
449	C₂⁶	C₂²×D₄	1	4	yes	—
450	C₂⁶	C₂²×D₄	1	4	yes	—
451	C₂⁶	C₂²×D₄	1	1	yes	characteristic
452	C₂⁶	C₂²×D₄	1	1	yes	characteristic
453	C₂⁶	C₂²×D₄	1	4	yes	—
454	C₂⁶	C₂²×D₄	1	8	yes	—
455	C₂⁶	C₂²×D₄	1	4	yes	—
456	C₂⁶	C₂²×D₄	1	4	yes	—
457	C₂⁶	C₂²×D₄	1	2	yes	—
458	C₂⁶	C₂²×D₄	1	1	yes	characteristic
459	C₂⁶	C₂²×D₄	1	1	yes	characteristic
460	C₂⁶	C₂²×D₄	1	2	yes	—
461	C₂⁶	C₂²×D₄	1	4	yes	—
462	C₂⁶	C₂²×D₄	1	2	yes	—
463	C₂⁶	C₂²×D₄	1	4	yes	—
464	C₂⁶	C₂²×D₄	1	4	yes	—
465	C₂⁶	C₂²×D₄	1	4	yes	—
466	C₂⁶	C₂²×D₄	1	8	yes	complemented
467	C₂⁶	C₂²×D₄	1	4	yes	complemented
468	C₂⁶	C₂²×D₄	1	16	yes	complemented
469	C₂⁶	H(5,𝔽₂)	1	8	yes	—
470	C₂⁶	C₂⁵	1	2	yes	—
471	C₂⁶	C₂⁵	1	2	yes	—
472	C₂⁶	C₂⁵	1	2	yes	—
473	C₂⁶	C₂⁵	1	2	yes	—
474	C₂⁶	C₂⁵	1	2	yes	—
475	C₂⁶	C₂⁵	1	1	yes	characteristic
476	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	complemented
477	C₂³×D₄	#120	1	2	yes	—
478	C₂³×D₄	#120	1	4	yes	—
479	C₂³×D₄	#120	1	2	yes	—
480	C₂³×D₄	#120	1	4	yes	—
481	C₂³×D₄	#120	1	4	yes	—
482	C₂³×D₄	#120	1	16	yes	—
483	C₂³×D₄	#120	1	2	yes	—
484	C₂³×D₄	#120	1	2	yes	—
485	C₂³×D₄	#120	1	16	yes	—
486	C₂³×D₄	#120	1	4	yes	—
487	C₂³×D₄	#120	1	4	yes	—
488	C₂³×D₄	#120	1	4	yes	—
489	C₂³×D₄	#120	1	8	yes	complemented
490	C₂³×D₄	#120	1	8	yes	complemented
491	C₂³×D₄	#120	1	32	yes	complemented
492	C₂³×D₄	C₂²×D₄	1	4	yes	—
493	C₂³×D₄	C₂²×D₄	1	4	yes	—
494	C₂³×D₄	C₂²×D₄	1	4	yes	—
495	C₂³×D₄	C₂²×D₄	1	4	yes	—
496	C₂³×D₄	C₂²×D₄	1	16	yes	—
497	C₂³×D₄	C₂²×D₄	1	16	yes	—
498	C₂³×D₄	C₂²×D₄	1	8	yes	—
499	C₂³×D₄	C₂²×D₄	1	16	yes	—
500	C₂³×D₄	C₂²×D₄	1	2	yes	—
501	C₂³×D₄	C₂²×D₄	1	2	yes	—
502	C₂³×D₄	C₂²×D₄	1	4	yes	—
503	C₂³×D₄	C₂²×D₄	1	8	yes	—
504	C₂³×D₄	C₂²×D₄	1	16	yes	—
505	C₂³×D₄	C₂²×D₄	1	4	yes	—
506	C₂³×D₄	C₂²×D₄	1	4	yes	—
507	C₂³×D₄	C₂²×D₄	1	2	yes	—
508	C₂³×D₄	C₂²×D₄	1	4	yes	—
509	C₂³×D₄	C₂²×D₄	1	4	yes	—
510	C₂³×D₄	C₂²×D₄	1	16	yes	—
511	C₂³×D₄	C₂²×D₄	1	4	yes	—
512	C₂³×D₄	C₂²×D₄	1	4	yes	—
513	C₂³×D₄	C₂²×D₄	1	4	yes	—
514	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
515	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
516	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
517	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
518	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
519	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
520	C₂³×D₄	C₂²×D₄	1	32	yes	complemented
521	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
522	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
523	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
524	C₂³×D₄	C₂⁵	1	2	yes	—
525	C₂³×D₄	C₂⁵	1	2	yes	—
526	C₂³×D₄	C₂⁵	1	8	yes	—
527	C₂³×D₄	C₂⁵	1	2	yes	—
528	C₂⁴×C₄	#120	1	8	yes	complemented
529	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
530	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
531	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
532	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
533	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
534	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
535	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
536	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
537	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
538	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
539	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
540	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
541	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
542	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
543	C₂⁴×C₄	C₂²×D₄	1	8	yes	complemented
544	C₂⁴×C₄	C₂²×D₄	1	4	yes	complemented
545	C₂⁴×C₄	C₂²×D₄	1	4	yes	complemented
546	C₂⁴×C₄	C₂⁵	1	2	yes	—
547	C₂⁴×C₄	C₂⁵	1	2	yes	—
548	C₂×#120	#120	1	64	yes	complemented
549	C₂×#120	C₂²×D₄	1	16	yes	—
550	C₂×#120	C₂²×D₄	1	32	yes	—
551	C₂×#120	C₂²×D₄	1	16	yes	—
552	C₂×#120	C₂²×D₄	1	16	yes	complemented
553	C₂×#120	C₂²×D₄	1	16	yes	complemented
554	C₂×#120	C₂²×D₄	1	64	yes	complemented
555	C₂×#120	C₂²×D₄	1	16	yes	complemented
556	C₂×#120	C₂²×D₄	1	16	yes	complemented
557	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	complemented
558	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	complemented
559	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
560	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
561	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
562	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
563	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
564	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
565	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
566	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
567	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
568	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
569	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
570	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
571	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
572	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
573	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
574	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
575	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
576	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
577	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
578	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
579	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
580	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
581	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
582	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
583	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
584	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
585	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
586	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
587	C₂²×C₄²	C₂²×D₄	1	4	yes	complemented
588	C₂×#99	C₂²×D₄	1	32	yes	complemented
589	C₂×#99	C₂²×D₄	1	64	yes	complemented
590	#386	C₂²×D₄	1	16	yes	complemented
591	#386	C₂²×D₄	1	16	yes	complemented
592	#379	C₂²×D₄	1	16	yes	complemented
593	C₂×#95	C₂²×D₄	1	32	yes	complemented
594	C₂⁵	C₂×#120	1	2	yes	—
595	C₂⁵	C₂×#120	1	2	yes	—
596	C₂⁵	C₂×#120	1	1	yes	characteristic
597	C₂⁵	C₂×#120	1	2	yes	—
598	C₂⁵	C₂×#120	1	2	yes	—
599	C₂⁵	C₂×#120	1	8	yes	—
600	C₂⁵	C₂×#120	1	4	yes	—
601	C₂⁵	C₂×#120	1	4	yes	—
602	C₂⁵	C₂×#120	1	2	yes	—
603	C₂⁵	C₂×#120	1	1	yes	characteristic
604	C₂⁵	C₂×#120	1	4	yes	—
605	C₂⁵	C₂×#120	1	2	yes	—
606	C₂⁵	C₂×#120	1	4	yes	—
607	C₂⁵	C₂×#120	1	4	yes	—
608	C₂⁵	C₂×#120	1	2	yes	—
609	C₂⁵	C₂×#120	1	4	yes	—
610	C₂⁵	C₂×#120	1	8	yes	—
611	C₂⁵	C₂×#120	1	16	yes	complemented
612	C₂⁵	C₂×#120	1	16	yes	complemented
613	C₂⁵	#534	1	4	yes	—
614	C₂⁵	#534	1	4	yes	—
615	C₂⁵	#534	1	8	yes	—
616	C₂⁵	D₄²	1	8	yes	—
617	C₂⁵	D₄²	1	8	yes	—
618	C₂⁵	D₄²	1	8	yes	—
619	C₂⁵	D₄²	1	8	yes	—
620	C₂⁵	D₄²	1	8	yes	—
621	C₂⁵	D₄²	1	16	yes	—
622	C₂⁵	D₄²	1	16	yes	—
623	C₂⁵	D₄²	1	16	yes	complemented
624	C₂⁵	C₂³×D₄	1	2	yes	—
625	C₂⁵	C₂³×D₄	1	8	yes	—
626	C₂⁵	C₂³×D₄	1	2	yes	—
627	C₂⁵	C₂³×D₄	1	4	yes	—
628	C₂⁵	C₂³×D₄	1	1	yes	characteristic
629	C₂⁵	C₂³×D₄	1	2	yes	—
630	C₂⁵	C₂³×D₄	1	2	yes	—
631	C₂⁵	C₂³×D₄	1	4	yes	—
632	C₂⁵	C₂³×D₄	1	4	yes	—
633	C₂⁵	C₂³×D₄	1	2	yes	—
634	C₂⁵	C₂³×D₄	1	2	yes	—
635	C₂⁵	C₂³×D₄	1	4	yes	—
636	C₂⁵	C₂³×D₄	1	8	yes	—
637	C₂⁵	C₂³×D₄	1	8	yes	—
638	C₂⁵	C₂³×D₄	1	2	yes	—
639	C₂⁵	C₂³×D₄	1	2	yes	—
640	C₂⁵	C₂³×D₄	1	4	yes	—
641	C₂⁵	C₂³×D₄	1	4	yes	—
642	C₂⁵	C₂³×D₄	1	4	yes	—
643	C₂⁵	C₂³×D₄	1	1	yes	characteristic
644	C₂⁵	C₂³×D₄	1	2	yes	—
645	C₂⁵	C₂³×D₄	1	4	yes	—
646	C₂⁵	C₂³×D₄	1	2	yes	—
647	C₂⁵	C₂³×D₄	1	2	yes	—
648	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
649	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
650	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
651	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
652	C₂⁵	C₂⁶	1	1	yes	characteristic
653	C₂²×D₄	B(4,𝔽₂)	1	16	yes	complemented
654	C₂²×D₄	C₂×#120	1	16	yes	—
655	C₂²×D₄	C₂×#120	1	8	yes	—
656	C₂²×D₄	C₂×#120	1	8	yes	—
657	C₂²×D₄	C₂×#120	1	8	yes	—
658	C₂²×D₄	C₂×#120	1	16	yes	—
659	C₂²×D₄	C₂×#120	1	16	yes	—
660	C₂²×D₄	C₂×#120	1	8	yes	—
661	C₂²×D₄	C₂×#120	1	8	yes	—
662	C₂²×D₄	C₂×#120	1	8	yes	—
663	C₂²×D₄	C₂×#120	1	16	yes	complemented
664	C₂²×D₄	C₂×#120	1	16	yes	complemented
665	C₂²×D₄	#534	1	16	yes	—
666	C₂²×D₄	D₄²	1	32	yes	—
667	C₂²×D₄	D₄²	1	16	yes	—
668	C₂²×D₄	D₄²	1	32	yes	complemented
669	C₂²×D₄	C₂³×D₄	1	4	yes	—
670	C₂²×D₄	C₂³×D₄	1	4	yes	—
671	C₂²×D₄	C₂³×D₄	1	4	yes	—
672	C₂²×D₄	C₂³×D₄	1	4	yes	—
673	C₂²×D₄	C₂³×D₄	1	8	yes	—
674	C₂²×D₄	C₂³×D₄	1	16	yes	—
675	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
676	C₂²×D₄	C₂×H(5,𝔽₂)	1	16	yes	—
677	C₂³×C₄	C₂×#120	1	4	yes	—
678	C₂³×C₄	C₂×#120	1	2	yes	—
679	C₂³×C₄	C₂×#120	1	2	yes	—
680	C₂³×C₄	C₂×#120	1	8	yes	—
681	C₂³×C₄	C₂×#120	1	4	yes	—
682	C₂³×C₄	C₂×#120	1	2	yes	—
683	C₂³×C₄	C₂×#120	1	2	yes	—
684	C₂³×C₄	C₂×#120	1	16	yes	complemented
685	C₂³×C₄	D₄²	1	8	yes	—
686	C₂³×C₄	D₄²	1	16	yes	complemented
687	C₂³×C₄	C₂³×D₄	1	2	yes	—
688	C₂³×C₄	C₂³×D₄	1	2	yes	—
689	C₂³×C₄	C₂³×D₄	1	2	yes	—
690	C₂³×C₄	C₂³×D₄	1	8	yes	—
691	C₂³×C₄	C₂³×D₄	1	8	yes	—
692	C₂³×C₄	C₂³×D₄	1	2	yes	—
693	C₂³×C₄	C₂³×D₄	1	2	yes	—
694	C₂³×C₄	C₂³×D₄	1	2	yes	—
695	C₂³×C₄	C₂³×D₄	1	16	yes	—
696	C₂³×C₄	C₂³×D₄	1	4	yes	—
697	C₂³×C₄	C₂³×D₄	1	2	yes	—
698	#120	C₂×#120	1	64	yes	complemented
699	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	complemented
700	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
701	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
704	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
705	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
706	C₂⁴	#2403	1	4	yes	—
707	C₂⁴	#2403	1	8	yes	—
708	C₂⁴	#2403	1	8	yes	—
709	C₂⁴	#2403	1	16	yes	—
710	C₂⁴	#2403	1	4	yes	—
711	C₂⁴	#2403	1	8	yes	—
712	C₂⁴	#2403	1	16	yes	—
713	C₂⁴	#2403	1	16	yes	complemented
714	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
715	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	complemented
716	C₂⁴	C₂²×#120	1	4	yes	—
717	C₂⁴	C₂²×#120	1	4	yes	—
718	C₂⁴	C₂²×#120	1	2	yes	—
719	C₂⁴	C₂²×#120	1	4	yes	—
720	C₂⁴	C₂²×#120	1	4	yes	—
721	C₂⁴	C₂²×#120	1	2	yes	—
722	C₂⁴	C₂²×#120	1	2	yes	—
723	C₂⁴	C₂²×#120	1	1	yes	characteristic
724	C₂⁴	C₂²×#120	1	2	yes	—
725	C₂⁴	C₂²×#120	1	4	yes	—
726	C₂⁴	C₂²×#120	1	4	yes	—
727	C₂⁴	C₂²×#120	1	4	yes	—
728	C₂⁴	C₂²×#120	1	2	yes	—
729	C₂⁴	C₂²×#120	1	4	yes	—
730	C₂⁴	C₂²×#120	1	1	yes	characteristic
731	C₂⁴	C₂²×#120	1	8	yes	complemented
732	C₂⁴	C₂×#534	1	4	yes	—
733	C₂⁴	C₂×#534	1	2	yes	—
734	C₂⁴	C₂×#534	1	4	yes	—
735	C₂⁴	C₂×#534	1	4	yes	—
736	C₂⁴	C₂×#534	1	2	yes	—
737	C₂⁴	C₂×D₄²	1	8	yes	—
738	C₂⁴	C₂×D₄²	1	8	yes	—
739	C₂⁴	C₂×D₄²	1	4	yes	—
740	C₂⁴	C₂×D₄²	1	4	yes	—
741	C₂⁴	C₂×D₄²	1	4	yes	—
742	C₂⁴	C₂×D₄²	1	8	yes	—
743	C₂⁴	C₂×D₄²	1	8	yes	—
744	C₂⁴	C₂×D₄²	1	8	yes	—
745	C₂⁴	C₂×D₄²	1	8	yes	—
746	C₂⁴	C₂×D₄²	1	4	yes	—
747	C₂⁴	C₂×D₄²	1	4	yes	—
748	C₂⁴	C₂×D₄²	1	8	yes	—
749	C₂⁴	C₂×D₄²	1	4	yes	—
750	C₂⁴	C₂×D₄²	1	8	yes	—
751	C₂⁴	C₂×D₄²	1	16	yes	complemented
752	C₂⁴	#3484	1	4	yes	—
753	C₂⁴	#3484	1	8	yes	—
754	C₂⁴	#3484	1	4	yes	—
755	C₂⁴	#3484	1	8	yes	—
756	C₂⁴	#3484	1	16	yes	—
757	C₂⁴	#3484	1	8	yes	—
758	C₂⁴	#3484	1	8	yes	—
759	C₂⁴	#3532	1	16	yes	—
760	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
761	C₂⁴	C₂⁴×D₄	1	2	yes	—
762	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
763	C₂⁴	C₂⁴×D₄	1	2	yes	—
764	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
765	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
766	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
767	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
768	C₂×D₄	#2403	1	32	yes	complemented
769	C₂×D₄	C₂×B(4,𝔽₂)	1	32	yes	complemented
770	C₂×D₄	C₂²×#120	1	8	yes	—
771	C₂×D₄	C₂×#534	1	8	yes	—
772	C₂×D₄	C₂×D₄²	1	16	yes	—
773	C₂²×C₄	#2403	1	16	yes	complemented
774	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	complemented
775	C₂²×C₄	C₂²×#120	1	4	yes	—
776	C₂²×C₄	C₂²×#120	1	4	yes	—
777	C₂²×C₄	C₂²×#120	1	4	yes	—
778	C₂²×C₄	C₂²×#120	1	4	yes	—
779	C₂²×C₄	C₂×D₄²	1	8	yes	—
780	C₂²×C₄	C₂×D₄²	1	16	yes	complemented
781	C₂²⋊C₄	C₂²×#120	1	8	yes	complemented
782	C₂³	#23900	1	16	yes	complemented
783	C₂³	C₂×#2403	1	4	yes	—
784	C₂³	C₂×#2403	1	8	yes	—
785	C₂³	C₂×#2403	1	4	yes	—
786	C₂³	C₂×#2403	1	2	yes	—
787	C₂³	C₂×#2403	1	4	yes	—
788	C₂³	C₂×#2403	1	4	yes	—
789	C₂³	C₂×#2403	1	4	yes	—
790	C₂³	C₂×#2403	1	2	yes	—
791	C₂³	C₂×#2403	1	8	yes	complemented
792	C₂³	#35346	1	4	yes	—
793	C₂³	#35346	1	4	yes	—
794	C₂³	D₄×#120	1	4	yes	—
795	C₂³	D₄×#120	1	8	yes	—
796	C₂³	D₄×#120	1	8	yes	—
797	C₂³	D₄×#120	1	8	yes	—
798	C₂³	D₄×#120	1	4	yes	—
799	C₂³	#37644	1	8	yes	—
800	C₂³	#37644	1	8	yes	—
801	C₂³	#37644	1	8	yes	—
802	C₂³	#37644	1	8	yes	—
803	C₂³	#58990	1	16	yes	—
804	C₂³	#58990	1	16	yes	—
805	C₂³	C₂²×B(4,𝔽₂)	1	8	yes	—
806	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
807	C₂³	C₂²×B(4,𝔽₂)	1	8	yes	complemented
808	C₂³	#60399	1	4	yes	—
809	C₂³	C₂³×#120	1	1	yes	characteristic
810	C₂³	C₂³×#120	1	1	yes	characteristic
811	C₂³	C₂³×#120	1	1	yes	characteristic
812	C₂³	C₂²×#534	1	1	yes	characteristic
813	C₂³	C₂²×#534	1	1	yes	characteristic
814	C₂³	C₂²×D₄²	1	2	yes	—
815	C₂³	C₂²×D₄²	1	2	yes	—
816	C₂³	C₂²×D₄²	1	2	yes	—
817	C₂³	C₂²×D₄²	1	4	yes	—
818	C₂³	C₂²×D₄²	1	2	yes	—
819	C₂³	C₂×#3532	1	4	yes	—
820	C₂³	C₂×#3484	1	4	yes	—
821	C₂³	C₂×#3484	1	2	yes	—
822	C₂³	C₂×#3484	1	2	yes	—
823	C₂³	C₂×#3484	1	4	yes	—
824	C₂³	C₂×#3484	1	2	yes	—
825	C₂×C₄	C₂×#2403	1	8	yes	complemented
826	C₂×C₄	C₂²×B(4,𝔽₂)	1	8	yes	complemented
827	C₂²	#647656	1	4	yes	—
828	C₂²	#647656	1	8	yes	—
829	C₂²	#647656	1	4	yes	—
830	C₂²	C₂×#23900	1	4	yes	—
831	C₂²	C₂×#23900	1	8	yes	complemented
832	C₂²	#6437632	1	4	yes	—
833	C₂²	D₄×B(4,𝔽₂)	1	16	yes	—
834	C₂²	C₂²×#2403	1	1	yes	characteristic
835	C₂²	C₂²×#2403	1	1	yes	characteristic
836	C₂²	C₂×#35346	1	1	yes	characteristic
837	C₂²	C₂×D₄×#120	1	2	yes	—
838	C₂²	C₂×D₄×#120	1	2	yes	—
839	C₂²	C₂×#37644	1	2	yes	—
840	C₂²	C₂×#37644	1	2	yes	—
841	C₂²	C₂×#58990	1	4	yes	—
842	C₂²	C₂³×B(4,𝔽₂)	1	2	yes	—
843	C₂²	C₂×#60399	1	2	yes	—
844	C₂	#72216660	1	8	yes	direct product factor
845	C₂	C₂²×#23900	1	1	yes	characteristic
846	C₂	C₂×#647656	1	1	yes	characteristic
847	C₂	C₂×D₄×B(4,𝔽₂)	1	4	yes	—
848	C₂	C₂×#6437632	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂²×#120
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ C₂⁵×D₄ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#374038	C₂	semidirect
2. C₂×#417526	C₂	semidirect
3. C₂×#417508	C₂	semidirect
4. C₂×#394174	C₂	semidirect
5. C₂×#364513	C₂	semidirect
6. C₂×#394267	C₂	semidirect
7. C₂×#364471	C₂	semidirect
8. C₂×#417821	C₂	semidirect
9. C₂×#359501	C₂	semidirect
10. C₂⁴×B(4,𝔽₂)	C₂	semidirect
11. C₂×#359579	C₂	semidirect
12. C₂×#394066	C₂	semidirect
13. C₂×#612424	C₂	semidirect
14. C₂²×D₄×#120	C₂	semidirect
15. C₂×#7631286	C₂	semidirect
16. C₂²×#32898	C₂	semidirect
17. C₂×#394058	C₂	semidirect
18. C₂²×#23900	C₂	semidirect
19. C₂×#449475	C₂	semidirect
20. #72216660	C₂	direct (N × H)
21. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
22. C₂⁶×D₄	C₂²	semidirect
23. C₂²×#3484	C₂²	semidirect
26. C₂⁴×#120	C₂²	semidirect
27. C₂⁴×#120	C₂²	semidirect
29. C₂³×B(4,𝔽₂)	C₂²	semidirect
30. C₂³×B(4,𝔽₂)	C₂²	semidirect
31. C₂³×B(4,𝔽₂)	C₂²	semidirect
32. C₂³×B(4,𝔽₂)	C₂²	semidirect
33. C₂³×B(4,𝔽₂)	C₂²	semidirect
34. C₂³×B(4,𝔽₂)	C₂²	semidirect
35. C₂⁴×#99	C₂²	semidirect
36. C₂⁴×#99	C₂²	semidirect
37. C₂²×#2847	C₂²	semidirect
38. C₂²×#2846	C₂²	semidirect
39. C₂²×#2846	C₂²	semidirect
40. C₂²×#2846	C₂²	semidirect
41. #7631286	C₂²	semidirect
42. C₂×D₄×#120	C₂²	semidirect
43. C₂×#35347	C₂²	semidirect
44. C₂×#35346	C₂²	semidirect
45. C₂×#34980	C₂²	semidirect
46. C₂²×#2433	C₂²	semidirect
47. C₂²×#2408	C₂²	semidirect
48. C₂²×#2410	C₂²	semidirect
49. C₂²×#2410	C₂²	semidirect
52. C₂²×#2403	C₂²	semidirect
53. C₂²×#2403	C₂²	semidirect
54. C₂×#34256	C₂²	semidirect
55. C₂×#34171	C₂²	semidirect
56. C₂²×D₄×C₂²⋊C₄	C₂²	semidirect
57. C₂²×C₄×#120	C₂²	semidirect
58. C₂×#32898	C₂²	semidirect
59. C₂×#23900	C₂²	semidirect
60. C₂²×#2021	C₂²	semidirect
61. C₂²×#2021	C₂²	semidirect
62. C₂²×#2021	C₂²	semidirect
63. C₂²×#1898	C₂²	semidirect
64. C₂²×#1898	C₂²	semidirect
65. C₂²×#1889	C₂²	semidirect
66. C₂²×#1889	C₂²	semidirect
67. C₂²×#1889	C₂²	semidirect
68. C₂²×#1790	C₂²	semidirect
69. C₂²×#1790	C₂²	semidirect
70. C₂²×#1781	C₂²	semidirect
71. C₂²×#1781	C₂²	semidirect
72. C₂²×#1781	C₂²	semidirect
73. #612424	C₂²	semidirect
74. C₂×#14715	C₂²	semidirect
75. C₂×#14715	C₂²	semidirect
76. C₂×#14694	C₂²	semidirect
77. C₂×#14679	C₂²	semidirect
78. C₂×#13867	C₂²	semidirect
79. C₂×#13867	C₂²	semidirect
80. #449475	C₂²	semidirect
81. #417821	C₂²	semidirect
82. #417526	C₂²	semidirect
83. #417508	C₂²	semidirect
84. #394267	C₂²	semidirect
85. #394174	C₂²	semidirect
86. #394066	C₂²	semidirect
87. #394058	C₂²	semidirect
88. #374038	C₂²	semidirect
89. #364513	C₂²	semidirect
90. #364471	C₂²	semidirect
91. #359579	C₂²	semidirect
92. #359501	C₂²	semidirect
93. C₂×#11174	C₂²	semidirect
94. C₂×#11087	C₂²	semidirect
95. C₂×#11043	C₂²	semidirect
96. C₂×#10991	C₂²	semidirect
97. C₂×#10991	C₂²	semidirect
98. C₂×#10991	C₂²	semidirect
99. C₂×#10991	C₂²	semidirect
100. C₂×#10991	C₂²	semidirect
101. C₂×#10991	C₂²	semidirect
102. C₂×#10995	C₂²	semidirect
103. C₂×#10980	C₂²	semidirect
104. C₂×#10965	C₂²	semidirect
105. C₂×#10965	C₂²	semidirect
106. C₂×#10960	C₂²	semidirect
107. C₂×#10745	C₂²	semidirect
108. C₂×#10735	C₂²	semidirect
109. C₂×#10735	C₂²	semidirect
110. C₂×#10761	C₂²	semidirect
112. C₂⁸	C₂³	semidirect
115. C₂³×H(5,𝔽₂)	C₂³	semidirect
116. C₂⁵×D₄	D₄	semidirect
122. C₂⁵×D₄	C₂³	semidirect
123. C₂⁵×D₄	C₂³	semidirect
124. C₂⁵×D₄	C₂³	semidirect
125. C₂⁶×C₄	C₂³	semidirect
126. C₂×#3484	C₂³	semidirect
127. C₂²×D₄²	D₄	semidirect
130. C₂³×#127	D₄	semidirect
131. C₂³×#121	D₄	semidirect
132. C₂³×#121	D₄	semidirect
133. C₂³×#121	D₄	semidirect
135. C₂³×#120	D₄	semidirect
136. C₂³×#120	D₄	semidirect
137. C₂³×#120	D₄	semidirect
138. C₂³×#120	D₄	semidirect
152. C₂³×#120	C₂³	semidirect
153. C₂³×#120	C₂³	semidirect
154. C₂³×#120	C₂³	semidirect
155. C₂³×#120	C₂³	semidirect
156. C₂³×#120	C₂³	semidirect
158. C₂³×C₄×D₄	D₄	semidirect
162. C₂⁴×C₂²⋊C₄	C₂³	semidirect
163. C₂²×B(4,𝔽₂)	D₄	semidirect
165. C₂²×B(4,𝔽₂)	C₂³	semidirect
166. C₂²×B(4,𝔽₂)	C₂³	semidirect
167. C₂²×B(4,𝔽₂)	C₂³	semidirect
168. C₂²×B(4,𝔽₂)	C₂³	semidirect
169. C₂²×B(4,𝔽₂)	C₂³	semidirect
178. C₂³×#99	C₂³	semidirect
179. C₂³×#99	C₂³	semidirect
180. C₂³×#99	C₂³	semidirect
181. C₂×#2847	C₂³	semidirect
182. C₂×#2846	C₂³	semidirect
183. C₂×#2846	C₂³	semidirect
184. C₂×#2846	C₂³	semidirect
185. #35347	C₂³	semidirect
186. #35346	C₂³	semidirect
187. #34980	C₂³	semidirect
188. C₂×#2433	C₂³	semidirect
189. C₂×#2408	C₂³	semidirect
190. C₂×#2410	C₂³	semidirect
191. C₂×#2410	C₂³	semidirect
192. C₂×#2403	D₄	semidirect
193. C₂×#2403	D₄	semidirect
196. C₂×#2403	C₂³	semidirect
197. C₂×#2403	C₂³	semidirect
198. C₂²×#392	D₄	semidirect
199. #34256	C₂³	semidirect
200. #34171	C₂³	semidirect
201. C₂×D₄×C₂²⋊C₄	C₂³	semidirect
204. C₂×C₄×#120	C₂³	semidirect
205. C₂²×#386	D₄	semidirect
210. C₂²×#386	C₂³	semidirect
211. C₂²×#385	C₂³	semidirect
212. C₂²×#380	C₂³	semidirect
216. C₂²×#379	C₂³	semidirect
217. C₂²×#379	C₂³	semidirect
218. C₂²×#379	C₂³	semidirect
219. C₂²×#379	C₂³	semidirect
220. C₂²×#379	C₂³	semidirect
221. C₂²×#379	C₂³	semidirect
222. C₂²×#379	C₂³	semidirect
223. C₂²×#379	C₂³	semidirect
224. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
225. C₂×#2021	C₂³	semidirect
226. C₂×#2021	C₂³	semidirect
227. C₂×#2021	C₂³	semidirect
228. C₂×#1898	C₂³	semidirect
229. C₂×#1898	C₂³	semidirect
230. C₂×#1889	C₂³	semidirect
231. C₂×#1889	C₂³	semidirect
232. C₂×#1889	C₂³	semidirect
233. C₂×#1790	C₂³	semidirect
234. C₂×#1790	C₂³	semidirect
235. C₂×#1781	C₂³	semidirect
236. C₂×#1781	C₂³	semidirect
237. C₂×#1781	C₂³	semidirect
238. C₂²×#342	C₂³	semidirect
239. C₂²×#342	C₂³	semidirect
240. C₂²×#342	C₂³	semidirect
241. C₂²×#342	C₂³	semidirect
242. C₂²×#342	C₂³	semidirect
243. #14715	C₂³	semidirect
244. #14715	C₂³	semidirect
245. #14694	C₂³	semidirect
246. #14679	C₂³	semidirect
247. #13867	C₂³	semidirect
248. #13867	C₂³	semidirect
249. C₂×C₂²⋊#95	C₂³	semidirect
250. C₂×C₂²⋊#95	C₂³	semidirect
251. #11174	C₂³	semidirect
252. #11087	C₂³	semidirect
253. #11043	C₂³	semidirect
254. #10995	C₂³	semidirect
255. #10991	C₂³	semidirect
256. #10991	C₂³	semidirect
257. #10991	C₂³	semidirect
258. #10991	C₂³	semidirect
259. #10991	C₂³	semidirect
260. #10991	C₂³	semidirect
261. #10980	C₂³	semidirect
262. #10965	C₂³	semidirect
263. #10965	C₂³	semidirect
264. #10960	C₂³	semidirect
265. #10761	C₂³	semidirect
266. #10745	C₂³	semidirect
267. #10735	C₂³	semidirect
268. #10735	C₂³	semidirect
270. C₂⁷	C₂×D₄	semidirect
271. C₂⁷	C₂×D₄	semidirect
272. C₂⁷	C₂×D₄	semidirect
279. C₂⁷	C₂⁴	semidirect
280. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
298. C₂⁴×D₄	C₂×D₄	semidirect
299. C₂⁴×D₄	C₂×D₄	semidirect
300. C₂⁴×D₄	C₂×D₄	semidirect
301. C₂⁴×D₄	C₂×D₄	semidirect
302. C₂⁴×D₄	C₂×D₄	semidirect
303. C₂⁴×D₄	C₂×D₄	semidirect
304. C₂⁴×D₄	C₂×D₄	semidirect
305. C₂⁴×D₄	C₂×D₄	semidirect
306. C₂⁴×D₄	C₂×D₄	semidirect
307. C₂⁴×D₄	C₂×D₄	semidirect
308. C₂⁴×D₄	C₂×D₄	semidirect
318. C₂⁴×D₄	C₂⁴	semidirect
319. C₂⁴×D₄	C₂⁴	semidirect
321. C₂⁵×C₄	C₂×D₄	semidirect
322. C₂⁵×C₄	C₂×D₄	semidirect
323. C₂⁵×C₄	C₂×D₄	semidirect
326. C₂⁵×C₄	C₂⁴	semidirect
328. C₂²×#127	C₂×D₄	semidirect
329. C₂²×#121	C₂×D₄	semidirect
330. C₂²×#121	C₂×D₄	semidirect
331. C₂²×#121	C₂×D₄	semidirect
332. C₂²×#121	C₂×D₄	semidirect
338. C₂²×#120	C₂×D₄	semidirect
339. C₂²×#120	C₂×D₄	semidirect
340. C₂²×#120	C₂×D₄	semidirect
341. C₂²×#120	C₂×D₄	semidirect
342. C₂²×#120	C₂×D₄	semidirect
343. C₂²×#120	C₂×D₄	semidirect
344. C₂²×#120	C₂×D₄	semidirect
345. C₂²×#120	C₂×D₄	semidirect
346. C₂²×#120	C₂×D₄	semidirect
347. C₂²×#120	C₂×D₄	semidirect
348. C₂²×#120	C₂×D₄	semidirect
361. C₂²×#120	C₂⁴	semidirect
362. C₂²×#120	C₂⁴	semidirect
363. C₂²×#120	C₂⁴	semidirect
365. C₂²×C₄×D₄	C₂×D₄	semidirect
366. C₂²×C₄×D₄	C₂×D₄	semidirect
368. C₂³×C₄⋊C₄	C₂×D₄	semidirect
369. C₂³×C₄⋊C₄	C₂×D₄	semidirect
372. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
373. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
374. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
375. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
376. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
377. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
378. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
379. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
380. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
381. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
392. C₂³×C₂²⋊C₄	C₂⁴	semidirect
393. C₂³×C₄²	C₂×D₄	semidirect
394. C₂×B(4,𝔽₂)	C₂×D₄	semidirect
395. C₂²×#99	C₂×D₄	semidirect
396. C₂²×#99	C₂×D₄	semidirect
405. C₂²×#99	C₂⁴	semidirect
406. #2403	C₂×D₄	semidirect
407. C₂×#392	C₂×D₄	semidirect
410. C₂×#386	C₂×D₄	semidirect
411. C₂×#386	C₂×D₄	semidirect
412. C₂×#386	C₂×D₄	semidirect
413. C₂×#386	C₂×D₄	semidirect
418. C₂×#386	C₂⁴	semidirect
419. C₂×#385	C₂⁴	semidirect
420. C₂×#380	C₂⁴	semidirect
421. C₂×#379	C₂×D₄	semidirect
422. C₂×#379	C₂×D₄	semidirect
426. C₂×#379	C₂⁴	semidirect
427. C₂×#379	C₂⁴	semidirect
428. C₂×#379	C₂⁴	semidirect
429. C₂×#379	C₂⁴	semidirect
430. C₂×#379	C₂⁴	semidirect
431. C₂×#379	C₂⁴	semidirect
432. C₂×#379	C₂⁴	semidirect
433. C₂×#379	C₂⁴	semidirect
434. C₂×C₄×C₂²⋊C₄	C₂⁴	semidirect
435. C₂²×#95	C₂×D₄	semidirect
436. C₂×#342	C₂⁴	semidirect
437. C₂×#342	C₂⁴	semidirect
438. C₂×#342	C₂⁴	semidirect
439. C₂×#342	C₂⁴	semidirect
440. C₂×#342	C₂⁴	semidirect
441. C₂²⋊#95	C₂⁴	semidirect
442. C₂²⋊#95	C₂⁴	semidirect
443. C₂⁶	#120	semidirect
466. C₂⁶	C₂²×D₄	semidirect
467. C₂⁶	C₂²×D₄	semidirect
468. C₂⁶	C₂²×D₄	semidirect
476. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
489. C₂³×D₄	#120	semidirect
490. C₂³×D₄	#120	semidirect
491. C₂³×D₄	#120	semidirect
514. C₂³×D₄	C₂²×D₄	semidirect
515. C₂³×D₄	C₂²×D₄	semidirect
516. C₂³×D₄	C₂²×D₄	semidirect
517. C₂³×D₄	C₂²×D₄	semidirect
518. C₂³×D₄	C₂²×D₄	semidirect
519. C₂³×D₄	C₂²×D₄	semidirect
520. C₂³×D₄	C₂²×D₄	semidirect
521. C₂³×D₄	C₂²×D₄	semidirect
528. C₂⁴×C₄	#120	semidirect
543. C₂⁴×C₄	C₂²×D₄	semidirect
544. C₂⁴×C₄	C₂²×D₄	semidirect
545. C₂⁴×C₄	C₂²×D₄	semidirect
548. C₂×#120	#120	semidirect
552. C₂×#120	C₂²×D₄	semidirect
553. C₂×#120	C₂²×D₄	semidirect
554. C₂×#120	C₂²×D₄	semidirect
555. C₂×#120	C₂²×D₄	semidirect
556. C₂×#120	C₂²×D₄	semidirect
557. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
558. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
569. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
570. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
571. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
572. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
573. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
574. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
575. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
576. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
577. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
578. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
587. C₂²×C₄²	C₂²×D₄	semidirect
588. C₂×#99	C₂²×D₄	semidirect
589. C₂×#99	C₂²×D₄	semidirect
590. #386	C₂²×D₄	semidirect
591. #386	C₂²×D₄	semidirect
592. #379	C₂²×D₄	semidirect
593. C₂×#95	C₂²×D₄	semidirect
611. C₂⁵	C₂×#120	semidirect
612. C₂⁵	C₂×#120	semidirect
623. C₂⁵	D₄²	semidirect
653. C₂²×D₄	B(4,𝔽₂)	semidirect
663. C₂²×D₄	C₂×#120	semidirect
664. C₂²×D₄	C₂×#120	semidirect
668. C₂²×D₄	D₄²	semidirect
684. C₂³×C₄	C₂×#120	semidirect
686. C₂³×C₄	D₄²	semidirect
698. #120	C₂×#120	semidirect
699. C₂×C₂²⋊C₄	C₂×#120	semidirect
713. C₂⁴	#2403	semidirect
715. C₂⁴	C₂×B(4,𝔽₂)	semidirect
731. C₂⁴	C₂²×#120	semidirect
751. C₂⁴	C₂×D₄²	semidirect
768. C₂×D₄	#2403	semidirect
769. C₂×D₄	C₂×B(4,𝔽₂)	semidirect
773. C₂²×C₄	#2403	semidirect
774. C₂²×C₄	C₂×B(4,𝔽₂)	semidirect
780. C₂²×C₄	C₂×D₄²	semidirect
781. C₂²⋊C₄	C₂²×#120	semidirect
782. C₂³	#23900	semidirect
791. C₂³	C₂×#2403	semidirect
807. C₂³	C₂²×B(4,𝔽₂)	semidirect
825. C₂×C₄	C₂×#2403	semidirect
826. C₂×C₄	C₂²×B(4,𝔽₂)	semidirect
831. C₂²	C₂×#23900	semidirect
844. C₂	#72216660	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×#374038	2
C₂×#417526	2
C₂×#417508	2
C₂×#394174	2
C₂×#364513	2
C₂×#394267	2
C₂×#364471	2
C₂×#417821	2
C₂×#359501	2
C₂⁴×B(4,𝔽₂)	2
C₂×#359579	2
C₂×#394066	2
C₂×#612424	2
C₂²×D₄×#120	2
C₂×#7631286	2
C₂²×#32898	2
C₂×#394058	2
C₂²×#23900	2
C₂×#449475	2
#72216660	2

Subgroups — C2×#72216660 #72275402

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72216660 #72275402