Subgroups — #72241100

Order 2048.

At least 9825 conjugacy classes of subgroups; only the 6488 normal subgroups are shown.

The subgroup lattice has 913 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72241086	C₂	1	2	yes	maximal, complemented
2	C₂×#417542	C₂	1	2	yes	maximal, complemented
3	#72241081	C₂	1	16	yes	maximal, complemented
4	#72241078	C₂	1	1	yes	maximal, characteristic, complemented
5	#72241077	C₂	1	2	yes	maximal, complemented
6	#72241074	C₂	1	2	yes	maximal, complemented
7	#72241072	C₂	1	2	yes	maximal, complemented
8	#72241072	C₂	1	2	yes	maximal, complemented
9	#72241071	C₂	1	1	yes	maximal, characteristic, complemented
10	#72241070	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#394273	C₂	1	2	yes	maximal, complemented
12	C₂×#359591	C₂	1	1	yes	maximal, characteristic, complemented
13	#72240604	C₂	1	2	yes	maximal, complemented
14	#72240597	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#10574873	C₂	1	1	yes	maximal, characteristic, complemented
16	#72238078	C₂	1	2	yes	maximal, complemented
17	#72238029	C₂	1	2	yes	maximal, complemented
18	C₂×#6437629	C₂	1	2	yes	maximal, complemented
19	C₂²×#23895	C₂	1	2	yes	maximal, complemented
20	C₂²×#60399	C₂	1	1	yes	maximal, characteristic, complemented
21	#72233072	C₂	1	16	yes	maximal, complemented
22	C₂²×H(7,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
23	C₂×#62842	C₂²	1	1	yes	characteristic
24	C₂×#62842	C₂²	1	1	yes	characteristic, complemented
25	C₂×#62842	C₂²	1	2	yes	complemented
26	C₂²×#3484	C₂²	1	1	yes	characteristic
27	C₂²×#3484	C₂²	1	2	yes	complemented
28	C₂²×#3484	C₂²	1	1	yes	characteristic, complemented
29	C₂×#60401	C₂²	1	8	yes	complemented
30	C₂×#60399	C₂²	1	16	yes	complemented
31	C₂×#60399	C₂²	1	8	yes	complemented
32	C₂²×#3026	C₂²	1	2	yes	—
33	C₂²×#3026	C₂²	1	2	yes	—
34	C₂²×#3026	C₂²	1	2	yes	complemented
35	C₂²×#3026	C₂²	1	2	yes	complemented
36	C₂²×#3026	C₂²	1	2	yes	complemented
37	C₂²×#3026	C₂²	1	2	yes	complemented
38	C₂²×#3026	C₂²	1	2	yes	complemented
39	C₂²×#3026	C₂²	1	2	yes	complemented
40	C₂²×#3026	C₂²	1	4	yes	complemented
41	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
42	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	complemented
43	C₂²×#2883	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#2883	C₂²	1	2	yes	complemented
45	C₂²×#2883	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#2883	C₂²	1	2	yes	complemented
47	#7682069	C₂²	1	8	yes	complemented
48	#7681928	C₂²	1	8	yes	complemented
49	#7630443	C₂²	1	1	yes	characteristic, complemented
50	#7630443	C₂²	1	1	yes	characteristic, complemented
51	#7630442	C₂²	1	1	yes	characteristic
52	#7630442	C₂²	1	1	yes	characteristic, complemented
53	#7630442	C₂²	1	2	yes	complemented
54	C₂×#35390	C₂²	1	1	yes	characteristic, complemented
55	C₂×#35348	C₂²	1	1	yes	characteristic, complemented
56	C₂×#35348	C₂²	1	1	yes	characteristic, complemented
57	C₂×#35346	C₂²	1	1	yes	characteristic, complemented
58	C₂×#34980	C₂²	1	1	yes	characteristic, complemented
59	#7625704	C₂²	1	1	yes	characteristic, complemented
60	#7625704	C₂²	1	1	yes	characteristic, complemented
61	#6628900	C₂²	1	16	yes	complemented
62	C₂×#23896	C₂²	1	16	yes	complemented
63	C₂×#23895	C₂²	1	32	yes	complemented
64	C₂×#23895	C₂²	1	16	yes	complemented
65	C₂×#23444	C₂²	1	4	yes	complemented
66	C₂×#23444	C₂²	1	4	yes	complemented
67	C₂²×#2021	C₂²	1	4	yes	complemented
68	C₂²×#2021	C₂²	1	4	yes	complemented
69	C₂²×#1913	C₂²	1	4	yes	complemented
70	C₂²×#1913	C₂²	1	4	yes	complemented
71	C₂²×#1913	C₂²	1	2	yes	complemented
72	C₂²×#1913	C₂²	1	2	yes	complemented
73	C₂²×#1913	C₂²	1	2	yes	complemented
74	C₂²×#1913	C₂²	1	2	yes	complemented
75	C₂×#20960	C₂²	1	2	yes	complemented
76	C₂²×#1889	C₂²	1	2	yes	complemented
77	C₂×#20609	C₂²	1	2	yes	complemented
78	C₂×#20609	C₂²	1	2	yes	complemented
79	C₂×#20585	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20585	C₂²	1	2	yes	complemented
81	C₂×#20585	C₂²	1	2	yes	complemented
82	C₂²×#1781	C₂²	1	2	yes	complemented
83	#5955303	C₂²	1	4	yes	complemented
84	#449469	C₂²	1	32	yes	complemented
85	#417823	C₂²	1	16	yes	complemented
86	#417821	C₂²	1	16	yes	complemented
87	#417543	C₂²	1	16	yes	complemented
88	#417542	C₂²	1	16	yes	complemented
89	#417542	C₂²	1	32	yes	complemented
90	#394274	C₂²	1	16	yes	complemented
91	#394273	C₂²	1	16	yes	complemented
92	#394273	C₂²	1	32	yes	complemented
93	#394068	C₂²	1	16	yes	complemented
94	#394067	C₂²	1	16	yes	complemented
95	#394066	C₂²	1	16	yes	complemented
96	#394066	C₂²	1	16	yes	complemented
97	#374008	C₂²	1	16	yes	complemented
98	#364545	C₂²	1	32	yes	complemented
99	#364545	C₂²	1	32	yes	complemented
100	#359592	C₂²	1	8	yes	complemented
101	#359591	C₂²	1	8	yes	complemented
102	#359591	C₂²	1	16	yes	complemented
103	C₂×#11166	C₂²	1	2	yes	complemented
104	C₂×#11089	C₂²	1	4	yes	complemented
105	C₂×#11089	C₂²	1	4	yes	complemented
106	#357530	C₂²	1	2	yes	complemented
107	C₂×#10991	C₂²	1	2	yes	complemented
108	#357481	C₂²	1	4	yes	complemented
109	#357481	C₂²	1	4	yes	complemented
110	#357460	C₂²	1	2	yes	complemented
111	C₂×#10972	C₂²	1	4	yes	complemented
112	C₂×#10972	C₂²	1	2	yes	complemented
113	C₂×#10972	C₂²	1	2	yes	complemented
114	#357421	C₂²	1	4	yes	complemented
115	C₂×#10965	C₂²	1	4	yes	complemented
116	#354054	C₂²	1	4	yes	complemented
117	#353427	C₂²	1	2	yes	complemented
118	#353427	C₂²	1	2	yes	complemented
119	C₂×#10768	C₂²	1	2	yes	complemented
120	C₂×#10768	C₂²	1	2	yes	complemented
121	C₂×H(7,𝔽₂)	C₂³	1	8	yes	complemented
122	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
123	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
124	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
125	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
126	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
127	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic, complemented
128	C₂⁵×D₄	C₂³	1	1	yes	characteristic
129	C₂×#3485	D₄	1	4	yes	complemented
130	C₂×#3485	C₂³	1	4	yes	—
131	C₂×#3485	C₂³	1	8	yes	complemented
132	C₂×#3485	C₂³	1	4	yes	complemented
133	C₂×#3484	D₄	1	8	yes	complemented
134	C₂×#3484	D₄	1	4	yes	complemented
135	C₂×#3484	C₂³	1	16	yes	—
136	C₂×#3484	C₂³	1	4	yes	—
137	C₂×#3484	C₂³	1	8	yes	—
138	C₂×#3484	C₂³	1	8	yes	complemented
139	C₂×#3484	C₂³	1	4	yes	complemented
140	C₂×#3484	C₂³	1	8	yes	complemented
141	C₂×#3449	D₄	1	4	yes	complemented
142	C₂²×#535	D₄	1	2	yes	complemented
143	C₂²×#534	D₄	1	2	yes	complemented
144	C₂²×#534	D₄	1	4	yes	complemented
145	C₂²×#534	C₂³	1	4	yes	—
146	C₂²×#534	C₂³	1	4	yes	—
147	C₂²×#534	C₂³	1	4	yes	—
148	C₂²×#534	C₂³	1	1	yes	characteristic
149	C₂²×#534	C₂³	1	1	yes	characteristic
150	C₂²×#534	C₂³	1	1	yes	characteristic
151	C₂²×#534	C₂³	1	1	yes	characteristic
152	C₂²×#534	C₂³	1	1	yes	characteristic
153	C₂²×#534	C₂³	1	1	yes	characteristic
154	C₂²×#534	C₂³	1	1	yes	characteristic
155	C₂²×#534	C₂³	1	4	yes	—
156	C₂²×#534	C₂³	1	1	yes	characteristic
157	C₂²×#534	C₂³	1	1	yes	characteristic
158	C₂²×#534	C₂³	1	1	yes	characteristic, complemented
159	C₂²×#534	C₂³	1	1	yes	characteristic, complemented
160	C₂²×#525	D₄	1	2	yes	complemented
161	C₂³×#120	D₄	1	2	yes	complemented
162	C₂³×#120	C₂³	1	1	yes	characteristic
163	C₂³×#120	C₂³	1	4	yes	—
164	C₂³×#120	C₂³	1	1	yes	characteristic
165	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
166	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
167	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
168	C₂²×#518	C₂³	1	2	yes	—
169	C₂²×#518	C₂³	1	2	yes	—
170	C₂²×#518	C₂³	1	1	yes	characteristic
171	C₂²×#518	C₂³	1	1	yes	characteristic
172	C₂²×#518	C₂³	1	1	yes	characteristic, complemented
173	C₂²×#518	C₂³	1	1	yes	characteristic, complemented
174	C₂×#3026	D₄	1	32	yes	complemented
175	C₂×#3026	D₄	1	32	yes	complemented
176	C₂×#3026	C₂³	1	16	yes	—
177	C₂×#3026	C₂³	1	16	yes	—
178	C₂×#3026	C₂³	1	16	yes	—
179	C₂×#3026	C₂³	1	16	yes	—
180	C₂×#3026	C₂³	1	16	yes	complemented
181	C₂×#3026	C₂³	1	16	yes	complemented
182	C₂×#3026	C₂³	1	32	yes	complemented
183	C₂²×#458	C₂³	1	8	yes	complemented
184	C₂²×#458	C₂³	1	8	yes	complemented
185	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
186	C₂²×B(4,𝔽₂)	C₂³	1	8	yes	complemented
187	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
188	C₂²×B(4,𝔽₂)	C₂³	1	8	yes	complemented
189	C₂×#2883	C₂³	1	16	yes	complemented
190	C₂×#2883	C₂³	1	16	yes	complemented
191	C₂×#2883	C₂³	1	8	yes	complemented
192	C₂×#2883	C₂³	1	8	yes	complemented
193	C₂³×#99	C₂³	1	4	yes	—
194	C₂³×#99	C₂³	1	2	yes	—
195	C₂³×#99	C₂³	1	4	yes	—
196	C₂³×#99	C₂³	1	2	yes	—
197	C₂³×#99	C₂³	1	2	yes	—
198	C₂³×#99	C₂³	1	2	yes	—
199	C₂³×#99	C₂³	1	4	yes	—
200	C₂³×#99	C₂³	1	4	yes	—
201	C₂³×#99	C₂³	1	4	yes	—
202	C₂³×#99	C₂³	1	4	yes	—
203	C₂³×#99	C₂³	1	2	yes	—
204	C₂³×#99	C₂³	1	2	yes	—
205	C₂³×#99	C₂³	1	4	yes	complemented
206	C₂³×#99	C₂³	1	4	yes	complemented
207	C₂³×#99	C₂³	1	4	yes	complemented
208	#35447	C₂³	1	4	yes	complemented
209	#35447	C₂³	1	4	yes	complemented
210	#35446	D₄	1	4	yes	complemented
211	#35348	C₂³	1	4	yes	complemented
212	#35348	C₂³	1	8	yes	complemented
213	#35348	C₂³	1	4	yes	complemented
214	#35348	C₂³	1	8	yes	complemented
215	#35347	C₂³	1	8	yes	—
216	#35347	C₂³	1	16	yes	complemented
217	#35347	C₂³	1	8	yes	complemented
218	#35346	D₄	1	4	yes	complemented
219	#35088	D₄	1	4	yes	complemented
220	#34980	D₄	1	4	yes	complemented
221	C₂×#2539	C₂³	1	4	yes	complemented
222	C₂×#2404	C₂³	1	4	yes	complemented
223	C₂×#2433	C₂³	1	4	yes	complemented
224	C₂×#2405	C₂³	1	4	yes	complemented
225	C₂×#2403	C₂³	1	4	yes	complemented
226	C₂×#2403	C₂³	1	4	yes	complemented
227	#34273	C₂³	1	8	yes	complemented
228	#34273	C₂³	1	8	yes	complemented
229	C₂×#2315	C₂³	1	1	yes	characteristic, complemented
230	C₂×#2315	C₂³	1	1	yes	characteristic, complemented
231	C₂×#2308	C₂³	1	4	yes	—
232	C₂×#2308	C₂³	1	1	yes	characteristic
233	C₂×#2308	C₂³	1	1	yes	characteristic
234	C₂×#2308	C₂³	1	1	yes	characteristic
235	C₂×#2308	C₂³	1	2	yes	—
236	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
237	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
238	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
239	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
240	C₂×#2308	C₂³	1	4	yes	complemented
241	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
242	C₂²×#379	C₂³	1	4	yes	complemented
243	C₂×#2273	C₂³	1	1	yes	characteristic, complemented
244	C₂×#2022	C₂³	1	16	yes	complemented
245	C₂×#2022	C₂³	1	16	yes	complemented
246	C₂×#2021	C₂³	1	32	yes	complemented
247	C₂×#2021	C₂³	1	16	yes	complemented
248	C₂×#2021	C₂³	1	16	yes	complemented
249	C₂×#2021	C₂³	1	32	yes	complemented
250	C₂×#1913	C₂³	1	32	yes	complemented
251	C₂×#1913	C₂³	1	32	yes	complemented
252	C₂×#1913	C₂³	1	16	yes	complemented
253	C₂×#1913	C₂³	1	16	yes	complemented
254	C₂×#1913	C₂³	1	16	yes	complemented
255	C₂×#1913	C₂³	1	16	yes	complemented
256	C₂×#1890	C₂³	1	8	yes	complemented
257	C₂×#1889	C₂³	1	8	yes	complemented
258	C₂×#1889	C₂³	1	16	yes	complemented
259	C₂×#1790	C₂³	1	16	yes	complemented
260	C₂×#1790	C₂³	1	16	yes	complemented
261	#20585	C₂³	1	16	yes	complemented
262	#20585	C₂³	1	8	yes	complemented
263	C₂×#1782	C₂³	1	8	yes	complemented
264	C₂×#1781	C₂³	1	8	yes	complemented
265	C₂×#1781	C₂³	1	16	yes	complemented
266	C₂²×#342	C₂³	1	4	yes	complemented
267	C₂²×#342	C₂³	1	4	yes	complemented
268	C₂²×#342	C₂³	1	4	yes	complemented
269	C₂²×#342	C₂³	1	4	yes	complemented
270	C₂²×#342	C₂³	1	4	yes	complemented
271	C₂²×#342	C₂³	1	4	yes	complemented
272	#14911	C₂³	1	16	yes	complemented
273	#14715	C₂³	1	16	yes	complemented
274	#13794	C₂³	1	4	yes	complemented
275	#11166	C₂³	1	16	yes	complemented
276	#11089	C₂³	1	32	yes	complemented
277	#11089	C₂³	1	32	yes	complemented
278	#10995	C₂³	1	32	yes	complemented
279	#10995	C₂³	1	32	yes	complemented
280	#10992	C₂³	1	8	yes	complemented
281	#10991	C₂³	1	8	yes	complemented
282	#10991	C₂³	1	16	yes	complemented
283	#10980	C₂³	1	16	yes	complemented
284	#10972	C₂³	1	16	yes	complemented
285	#10972	C₂³	1	16	yes	complemented
286	#10972	C₂³	1	32	yes	complemented
287	#10966	C₂³	1	16	yes	complemented
288	#10965	C₂³	1	32	yes	complemented
289	#10965	C₂³	1	16	yes	complemented
290	#10960	C₂³	1	32	yes	complemented
291	#10768	C₂³	1	16	yes	complemented
292	#10768	C₂³	1	16	yes	complemented
293	#10745	C₂³	1	16	yes	complemented
294	#10745	C₂³	1	16	yes	complemented
295	C₂⁷	C₂×D₄	1	1	yes	characteristic, complemented
296	C₂⁷	C₂⁴	1	1	yes	characteristic
297	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
298	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
299	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
300	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	complemented
301	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	complemented
302	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
303	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
304	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
305	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
306	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	complemented
307	C₂³×#41	C₂×D₄	1	2	yes	—
308	C₂³×#41	C₂×D₄	1	2	yes	—
309	C₂³×#41	C₂×D₄	1	2	yes	—
310	C₂³×#41	C₂×D₄	1	2	yes	complemented
311	C₂³×#41	C₂×D₄	1	2	yes	complemented
312	C₂³×#41	C₂⁴	1	2	yes	—
313	C₂⁴×D₄	C₂×D₄	1	2	yes	—
314	C₂⁴×D₄	C₂×D₄	1	2	yes	—
315	C₂⁴×D₄	C₂×D₄	1	2	yes	—
316	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
317	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
318	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
319	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
320	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
321	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
322	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
323	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
324	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
325	C₂⁴×D₄	C₂⁴	1	4	yes	—
326	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
327	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
328	C₂⁴×D₄	C₂⁴	1	2	yes	—
329	C₂⁴×D₄	C₂⁴	1	4	yes	—
330	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
331	C₂⁴×D₄	C₂⁴	1	2	yes	complemented
332	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic, complemented
333	C₂×#536	C₂×D₄	1	8	yes	complemented
334	C₂×#535	C₂×D₄	1	16	yes	complemented
335	C₂×#535	C₂×D₄	1	8	yes	complemented
336	C₂×#534	C₂×D₄	1	16	yes	—
337	C₂×#534	C₂×D₄	1	16	yes	—
338	C₂×#534	C₂×D₄	1	4	yes	—
339	C₂×#534	C₂×D₄	1	4	yes	—
340	C₂×#534	C₂×D₄	1	4	yes	—
341	C₂×#534	C₂×D₄	1	4	yes	—
342	C₂×#534	C₂×D₄	1	32	yes	complemented
343	C₂×#534	C₂×D₄	1	32	yes	complemented
344	C₂×#534	C₂×D₄	1	4	yes	complemented
345	C₂×#534	C₂×D₄	1	4	yes	complemented
346	C₂×#534	C₂×D₄	1	16	yes	complemented
347	C₂×#534	C₂×D₄	1	4	yes	complemented
348	C₂×#534	C₂×D₄	1	4	yes	complemented
349	C₂×#534	C₂×D₄	1	4	yes	complemented
350	C₂×#534	C₂×D₄	1	4	yes	complemented
351	C₂×#534	C₂×D₄	1	8	yes	complemented
352	C₂×#534	C₂×D₄	1	8	yes	complemented
353	C₂×#534	C₂⁴	1	16	yes	—
354	C₂×#534	C₂⁴	1	16	yes	—
355	C₂×#534	C₂⁴	1	16	yes	—
356	C₂×#534	C₂⁴	1	4	yes	—
357	C₂×#534	C₂⁴	1	4	yes	—
358	C₂×#534	C₂⁴	1	4	yes	—
359	C₂×#534	C₂⁴	1	4	yes	—
360	C₂×#534	C₂⁴	1	4	yes	—
361	C₂×#534	C₂⁴	1	4	yes	—
362	C₂×#525	C₂×D₄	1	16	yes	complemented
363	C₂×#525	C₂×D₄	1	8	yes	complemented
364	C₂×#525	C₂×D₄	1	8	yes	complemented
365	C₂²×#123	C₂×D₄	1	2	yes	—
366	C₂²×#123	C₂×D₄	1	2	yes	—
367	C₂²×#123	C₂×D₄	1	2	yes	complemented
368	C₂²×#123	C₂×D₄	1	2	yes	complemented
369	C₂²×#123	C₂×D₄	1	2	yes	complemented
370	C₂²×#123	C₂×D₄	1	2	yes	complemented
371	C₂²×#123	C₂×D₄	1	8	yes	complemented
372	C₂²×#123	C₂×D₄	1	2	yes	complemented
373	C₂²×#123	C₂×D₄	1	2	yes	complemented
374	C₂²×#123	C₂⁴	1	2	yes	—
375	C₂²×#123	C₂⁴	1	8	yes	—
376	C₂²×#123	C₂⁴	1	2	yes	—
377	C₂²×#123	C₂⁴	1	2	yes	complemented
378	C₂²×#123	C₂⁴	1	2	yes	complemented
379	C₂²×#121	C₂⁴	1	4	yes	—
380	C₂²×#120	C₂×D₄	1	2	yes	—
381	C₂²×#120	C₂×D₄	1	2	yes	—
382	C₂²×#120	C₂×D₄	1	4	yes	—
383	C₂²×#120	C₂×D₄	1	2	yes	—
384	C₂²×#120	C₂×D₄	1	2	yes	—
385	C₂²×#120	C₂×D₄	1	2	yes	complemented
386	C₂²×#120	C₂×D₄	1	2	yes	complemented
387	C₂²×#120	C₂×D₄	1	2	yes	complemented
388	C₂²×#120	C₂×D₄	1	2	yes	complemented
389	C₂²×#120	C₂×D₄	1	4	yes	complemented
390	C₂²×#120	C₂×D₄	1	16	yes	complemented
391	C₂²×#120	C₂×D₄	1	2	yes	complemented
392	C₂²×#120	C₂×D₄	1	2	yes	complemented
393	C₂²×#120	C₂×D₄	1	8	yes	complemented
394	C₂²×#120	C₂×D₄	1	2	yes	complemented
395	C₂²×#120	C₂×D₄	1	2	yes	complemented
396	C₂²×#120	C₂⁴	1	2	yes	—
397	C₂²×#120	C₂⁴	1	4	yes	—
398	C₂²×#120	C₂⁴	1	16	yes	—
399	C₂²×#120	C₂⁴	1	8	yes	—
400	C₂²×#120	C₂⁴	1	4	yes	—
401	C₂²×#120	C₂⁴	1	2	yes	—
402	C₂²×#120	C₂⁴	1	4	yes	complemented
403	C₂²×#120	C₂⁴	1	2	yes	complemented
404	C₂²×#120	C₂⁴	1	4	yes	complemented
405	C₂²×#120	C₂⁴	1	2	yes	complemented
406	C₂×#518	C₂×D₄	1	4	yes	complemented
407	C₂×#518	C₂×D₄	1	4	yes	complemented
408	C₂×#518	C₂⁴	1	8	yes	—
409	C₂×#518	C₂⁴	1	8	yes	—
410	C₂×#518	C₂⁴	1	4	yes	—
411	C₂×#518	C₂⁴	1	4	yes	—
412	C₂×#518	C₂⁴	1	4	yes	complemented
413	C₂×#518	C₂⁴	1	4	yes	complemented
414	C₂²×#117	C₂×D₄	1	2	yes	complemented
415	C₂²×#117	C₂×D₄	1	2	yes	complemented
416	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
417	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
418	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
419	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
423	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
425	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
426	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
429	#3026	C₂×D₄	1	128	yes	complemented
430	#3026	C₂×D₄	1	128	yes	complemented
431	C₂²×#99	C₂×D₄	1	16	yes	complemented
432	C₂²×#99	C₂×D₄	1	16	yes	complemented
433	C₂²×#99	C₂×D₄	1	32	yes	complemented
434	C₂²×#99	C₂×D₄	1	32	yes	complemented
435	C₂²×#99	C₂⁴	1	8	yes	—
436	C₂²×#99	C₂⁴	1	8	yes	—
437	C₂²×#99	C₂⁴	1	16	yes	—
438	C₂²×#99	C₂⁴	1	16	yes	—
439	C₂²×#99	C₂⁴	1	8	yes	—
440	C₂²×#99	C₂⁴	1	8	yes	—
441	C₂²×#99	C₂⁴	1	16	yes	—
442	C₂²×#99	C₂⁴	1	16	yes	—
443	C₂²×#99	C₂⁴	1	8	yes	—
444	C₂²×#99	C₂⁴	1	8	yes	—
445	C₂²×#99	C₂⁴	1	16	yes	—
446	C₂²×#99	C₂⁴	1	16	yes	—
447	C₂²×#99	C₂⁴	1	16	yes	complemented
448	C₂²×#99	C₂⁴	1	16	yes	complemented
449	C₂²×#99	C₂⁴	1	16	yes	complemented
450	#2406	C₂×D₄	1	16	yes	complemented
451	#2405	C₂×D₄	1	16	yes	complemented
452	#2404	C₂×D₄	1	16	yes	complemented
453	#2403	C₂×D₄	1	16	yes	complemented
454	#2315	C₂⁴	1	4	yes	complemented
455	#2315	C₂⁴	1	4	yes	complemented
456	#2308	C₂×D₄	1	4	yes	complemented
457	#2308	C₂×D₄	1	4	yes	complemented
458	#2308	C₂×D₄	1	4	yes	complemented
459	#2308	C₂×D₄	1	4	yes	complemented
460	#2308	C₂×D₄	1	4	yes	complemented
461	#2308	C₂⁴	1	8	yes	—
462	#2308	C₂⁴	1	4	yes	—
463	#2308	C₂⁴	1	4	yes	complemented
464	C₂×#386	C₂⁴	1	16	yes	—
465	C₂×#386	C₂⁴	1	4	yes	—
466	C₂×#386	C₂⁴	1	4	yes	—
467	C₂×#386	C₂⁴	1	4	yes	complemented
468	C₂×#386	C₂⁴	1	4	yes	complemented
469	C₂×#381	C₂×D₄	1	2	yes	complemented
470	C₂×#381	C₂⁴	1	2	yes	complemented
471	C₂×#381	C₂⁴	1	8	yes	complemented
472	C₂×#379	C₂×D₄	1	2	yes	complemented
473	C₂×#379	C₂⁴	1	2	yes	complemented
474	C₂×#379	C₂⁴	1	4	yes	complemented
475	C₂×#379	C₂⁴	1	16	yes	complemented
476	C₂×#379	C₂⁴	1	8	yes	complemented
477	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
478	C₂×#342	C₂⁴	1	16	yes	complemented
479	C₂×#342	C₂⁴	1	16	yes	complemented
480	C₂×#342	C₂⁴	1	16	yes	complemented
481	C₂×#342	C₂⁴	1	16	yes	complemented
482	C₂×#342	C₂⁴	1	16	yes	complemented
483	C₂×#342	C₂⁴	1	16	yes	complemented
484	C₂²⋊#95	C₂⁴	1	16	yes	complemented
485	C₂⁶	#120	1	2	yes	—
486	C₂⁶	C₂²×D₄	1	1	yes	characteristic
487	C₂⁶	C₂²×D₄	1	2	yes	—
488	C₂⁶	C₂²×D₄	1	1	yes	characteristic
489	C₂⁶	C₂²×D₄	1	1	yes	characteristic
490	C₂⁶	C₂²×D₄	1	1	yes	characteristic
491	C₂⁶	C₂²×D₄	1	1	yes	characteristic
492	C₂⁶	C₂²×D₄	1	1	yes	characteristic
493	C₂⁶	C₂²×D₄	1	4	yes	—
494	C₂⁶	C₂²×D₄	1	1	yes	characteristic
495	C₂⁶	C₂²×D₄	1	1	yes	characteristic
496	C₂⁶	C₂²×D₄	1	2	yes	complemented
497	C₂⁶	H(5,𝔽₂)	1	4	yes	—
498	C₂⁶	C₂⁵	1	2	yes	—
499	C₂⁶	C₂⁵	1	1	yes	characteristic
500	C₂⁶	C₂⁵	1	1	yes	characteristic
501	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	—
502	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	complemented
503	C₂²×#41	#120	1	8	yes	—
504	C₂²×#41	#120	1	8	yes	—
505	C₂²×#41	#120	1	8	yes	—
506	C₂²×#41	C₂²×D₄	1	8	yes	—
507	C₂²×#41	C₂²×D₄	1	8	yes	—
508	C₂²×#41	C₂²×D₄	1	8	yes	—
509	C₂³×Q₈	#120	1	2	yes	—
510	C₂³×Q₈	C₂²×D₄	1	2	yes	complemented
511	C₂³×D₄	#120	1	2	yes	—
512	C₂³×D₄	#120	1	2	yes	—
513	C₂³×D₄	#120	1	2	yes	—
514	C₂³×D₄	#120	1	8	yes	—
515	C₂³×D₄	#120	1	8	yes	—
516	C₂³×D₄	#120	1	8	yes	—
517	C₂³×D₄	C₂²×D₄	1	2	yes	—
518	C₂³×D₄	C₂²×D₄	1	2	yes	—
519	C₂³×D₄	C₂²×D₄	1	8	yes	—
520	C₂³×D₄	C₂²×D₄	1	2	yes	—
521	C₂³×D₄	C₂²×D₄	1	2	yes	—
522	C₂³×D₄	C₂²×D₄	1	8	yes	—
523	C₂³×D₄	C₂²×D₄	1	8	yes	—
524	C₂³×D₄	C₂²×D₄	1	8	yes	—
525	C₂³×D₄	C₂²×D₄	1	8	yes	—
526	C₂³×D₄	C₂²×D₄	1	2	yes	—
527	C₂³×D₄	C₂²×D₄	1	2	yes	—
528	C₂³×D₄	C₂²×D₄	1	2	yes	—
529	C₂³×D₄	C₂²×D₄	1	2	yes	—
530	C₂³×D₄	C₂²×D₄	1	2	yes	—
531	C₂³×D₄	C₂²×D₄	1	2	yes	—
532	C₂³×D₄	C₂²×D₄	1	2	yes	—
533	C₂³×D₄	C₂²×D₄	1	2	yes	—
534	C₂³×D₄	C₂²×D₄	1	8	yes	—
535	C₂³×D₄	C₂²×D₄	1	8	yes	—
536	C₂³×D₄	C₂²×D₄	1	16	yes	—
537	C₂³×D₄	C₂²×D₄	1	16	yes	—
538	C₂³×D₄	C₂²×D₄	1	2	yes	—
539	C₂³×D₄	C₂²×D₄	1	2	yes	—
540	C₂³×D₄	C₂²×D₄	1	2	yes	—
541	C₂³×D₄	C₂²×D₄	1	2	yes	—
542	C₂³×D₄	C₂²×D₄	1	2	yes	—
543	C₂³×D₄	C₂²×D₄	1	2	yes	—
544	C₂³×D₄	C₂²×D₄	1	4	yes	—
545	C₂³×D₄	C₂²×D₄	1	4	yes	—
546	C₂³×D₄	C₂²×D₄	1	2	yes	—
547	C₂³×D₄	C₂²×D₄	1	2	yes	—
548	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
549	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
550	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
551	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
552	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
553	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
554	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
555	C₂³×D₄	C₂⁵	1	2	yes	—
556	C₂³×D₄	C₂⁵	1	2	yes	—
557	C₂³×D₄	C₂⁵	1	2	yes	—
558	C₂³×D₄	C₂⁵	1	2	yes	—
559	C₂³×D₄	C₂⁵	1	2	yes	—
560	C₂³×D₄	C₂⁵	1	2	yes	—
561	C₂³×D₄	C₂⁵	1	8	yes	—
562	C₂⁴×C₄	#120	1	2	yes	—
563	C₂⁴×C₄	#120	1	2	yes	—
564	C₂⁴×C₄	#120	1	2	yes	—
565	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
566	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
567	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
568	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
569	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
570	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
571	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
572	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
573	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
574	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
575	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
576	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
577	C₂⁴×C₄	C₂⁵	1	2	yes	—
578	#534	#120	1	32	yes	complemented
579	#534	#120	1	32	yes	complemented
580	#534	C₂²×D₄	1	64	yes	—
581	#534	C₂²×D₄	1	32	yes	—
582	#534	C₂²×D₄	1	32	yes	—
583	#534	C₂²×D₄	1	64	yes	complemented
584	C₂×#123	#120	1	16	yes	complemented
585	C₂×#123	#120	1	16	yes	complemented
586	C₂×#123	C₂²×D₄	1	8	yes	—
587	C₂×#123	C₂²×D₄	1	8	yes	—
588	C₂×#123	C₂²×D₄	1	8	yes	—
589	C₂×#123	C₂²×D₄	1	8	yes	—
590	C₂×#123	C₂²×D₄	1	8	yes	—
591	C₂×#123	C₂²×D₄	1	8	yes	complemented
592	C₂×#123	C₂²×D₄	1	8	yes	complemented
593	C₂×#123	C₂²×D₄	1	8	yes	complemented
594	C₂×#120	#120	1	16	yes	complemented
595	C₂×#120	#120	1	16	yes	complemented
596	C₂×#120	C₂²×D₄	1	8	yes	—
597	C₂×#120	C₂²×D₄	1	8	yes	—
598	C₂×#120	C₂²×D₄	1	8	yes	—
599	C₂×#120	C₂²×D₄	1	8	yes	—
600	C₂×#120	C₂²×D₄	1	8	yes	—
601	C₂×#120	C₂²×D₄	1	8	yes	—
602	C₂×#120	C₂²×D₄	1	8	yes	—
603	C₂×#120	C₂²×D₄	1	8	yes	—
604	C₂×#120	C₂²×D₄	1	8	yes	—
605	C₂×#120	C₂²×D₄	1	8	yes	complemented
606	C₂×#120	C₂²×D₄	1	8	yes	complemented
607	C₂×#120	C₂²×D₄	1	8	yes	complemented
608	C₂×#117	C₂²×D₄	1	8	yes	—
609	C₂×#117	C₂²×D₄	1	8	yes	complemented
610	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	complemented
611	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
612	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
613	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
614	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
615	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
616	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
617	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
618	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
619	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
620	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
621	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
622	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
623	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
624	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
625	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
626	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
627	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
628	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
629	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
630	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	complemented
631	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
632	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
633	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
634	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
635	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
636	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
637	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
638	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
639	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
640	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
641	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
642	C₂×#99	C₂²×D₄	1	32	yes	—
643	C₂×#99	C₂²×D₄	1	64	yes	complemented
644	C₂×#99	C₂²×D₄	1	32	yes	complemented
645	C₂×#99	C₂²×D₄	1	64	yes	complemented
646	#386	C₂²×D₄	1	16	yes	—
647	#386	C₂²×D₄	1	16	yes	complemented
648	#381	C₂²×D₄	1	8	yes	complemented
649	#379	C₂²×D₄	1	8	yes	complemented
650	C₂⁵	C₂×#120	1	2	yes	—
651	C₂⁵	C₂×#120	1	2	yes	—
652	C₂⁵	C₂×#120	1	4	yes	—
653	C₂⁵	C₂×#120	1	4	yes	—
654	C₂⁵	C₂×#120	1	8	yes	—
655	C₂⁵	C₂×#120	1	2	yes	—
656	C₂⁵	C₂×#120	1	2	yes	—
657	C₂⁵	C₂×#120	1	2	yes	—
658	C₂⁵	C₂×#120	1	2	yes	—
659	C₂⁵	D₄²	1	8	yes	—
660	C₂⁵	D₄²	1	8	yes	—
661	C₂⁵	D₄²	1	16	yes	complemented
662	C₂⁵	C₂³×D₄	1	2	yes	—
663	C₂⁵	C₂³×D₄	1	2	yes	—
664	C₂⁵	C₂³×D₄	1	2	yes	—
665	C₂⁵	C₂³×D₄	1	2	yes	—
666	C₂⁵	C₂³×D₄	1	2	yes	—
667	C₂⁵	C₂³×D₄	1	2	yes	—
668	C₂⁵	C₂³×D₄	1	2	yes	—
669	C₂⁵	C₂³×D₄	1	2	yes	—
670	C₂⁵	C₂³×D₄	1	2	yes	—
671	C₂⁵	C₂³×D₄	1	1	yes	characteristic
672	C₂⁵	C₂³×D₄	1	1	yes	characteristic
673	C₂⁵	C₂³×D₄	1	1	yes	characteristic
674	C₂⁵	C₂³×D₄	1	1	yes	characteristic
675	C₂⁵	C₂³×D₄	1	1	yes	characteristic
676	C₂⁵	C₂³×D₄	1	1	yes	characteristic
677	C₂⁵	C₂³×D₄	1	4	yes	—
678	C₂⁵	C₂³×D₄	1	4	yes	—
679	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
680	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
681	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
682	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
683	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
684	C₂⁵	C₂⁶	1	1	yes	characteristic
685	C₂²×Q₈	C₂×#120	1	8	yes	—
686	C₂²×D₄	C₂×#120	1	8	yes	—
687	C₂²×D₄	C₂×#120	1	8	yes	—
688	C₂²×D₄	C₂×#120	1	8	yes	—
689	C₂²×D₄	C₂×#120	1	8	yes	—
690	C₂²×D₄	C₂×#120	1	4	yes	—
691	C₂²×D₄	C₂×#120	1	4	yes	—
692	C₂²×D₄	C₂×#120	1	8	yes	—
693	C₂²×D₄	C₂×#120	1	8	yes	—
694	C₂²×D₄	C₂×#120	1	8	yes	—
695	C₂²×D₄	C₂×#120	1	8	yes	—
696	C₂²×D₄	C₂×#120	1	8	yes	—
697	C₂²×D₄	C₂×#120	1	4	yes	—
698	C₂²×D₄	C₂×#120	1	4	yes	—
699	C₂²×D₄	C₂×#120	1	4	yes	—
700	C₂²×D₄	C₂×#120	1	4	yes	—
701	C₂²×D₄	#534	1	8	yes	—
702	C₂²×D₄	#534	1	8	yes	—
703	C₂²×D₄	#534	1	8	yes	—
704	C₂²×D₄	#534	1	8	yes	—
705	C₂²×D₄	D₄²	1	16	yes	—
706	C₂²×D₄	D₄²	1	16	yes	—
707	C₂²×D₄	D₄²	1	16	yes	—
708	C₂²×D₄	D₄²	1	16	yes	—
709	C₂²×D₄	D₄²	1	16	yes	—
710	C₂²×D₄	D₄²	1	16	yes	—
711	C₂²×D₄	D₄²	1	32	yes	complemented
712	C₂²×D₄	C₂³×D₄	1	4	yes	—
713	C₂²×D₄	C₂³×D₄	1	8	yes	—
714	C₂²×D₄	C₂³×D₄	1	4	yes	—
715	C₂²×D₄	C₂³×D₄	1	8	yes	—
716	C₂²×D₄	C₂³×D₄	1	4	yes	—
717	C₂²×D₄	C₂³×D₄	1	4	yes	—
718	C₂²×D₄	C₂³×D₄	1	4	yes	—
719	C₂²×D₄	C₂³×D₄	1	4	yes	—
720	C₂²×D₄	C₂³×D₄	1	16	yes	—
721	C₂²×D₄	C₂³×D₄	1	16	yes	—
722	C₂²×D₄	C₂³×D₄	1	8	yes	—
723	C₂²×D₄	C₂³×D₄	1	8	yes	—
724	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
725	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
726	C₂³×C₄	C₂×#120	1	2	yes	—
727	C₂³×C₄	C₂×#120	1	2	yes	—
728	C₂³×C₄	C₂×#120	1	4	yes	—
729	C₂³×C₄	C₂×#120	1	4	yes	—
730	C₂³×C₄	C₂×#120	1	8	yes	—
731	C₂³×C₄	C₂×#120	1	8	yes	—
732	C₂³×C₄	C₂×#120	1	8	yes	—
733	C₂³×C₄	C₂×#120	1	2	yes	—
734	C₂³×C₄	C₂×#120	1	2	yes	—
735	C₂³×C₄	C₂×#120	1	2	yes	—
736	C₂³×C₄	C₂×#120	1	2	yes	—
737	C₂³×C₄	D₄²	1	8	yes	—
738	C₂³×C₄	D₄²	1	8	yes	—
739	C₂³×C₄	D₄²	1	16	yes	complemented
740	C₂³×C₄	C₂³×D₄	1	2	yes	—
741	C₂³×C₄	C₂³×D₄	1	2	yes	—
742	C₂³×C₄	C₂³×D₄	1	2	yes	—
743	C₂³×C₄	C₂³×D₄	1	2	yes	—
744	C₂³×C₄	C₂³×D₄	1	2	yes	—
745	C₂³×C₄	C₂³×D₄	1	2	yes	—
746	C₂³×C₄	C₂³×D₄	1	2	yes	—
747	C₂³×C₄	C₂³×D₄	1	4	yes	—
748	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
749	#123	C₂×#120	1	32	yes	—
750	#123	C₂×#120	1	32	yes	—
751	#120	C₂×#120	1	32	yes	—
752	#120	C₂×#120	1	32	yes	—
753	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
754	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
755	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
756	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
757	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
758	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
759	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
760	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
761	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
762	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
763	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
764	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
765	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
766	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
767	C₂⁴	#2403	1	8	yes	—
768	C₂⁴	#2403	1	8	yes	—
769	C₂⁴	#2403	1	8	yes	—
770	C₂⁴	#2403	1	8	yes	—
771	C₂⁴	C₂²×#120	1	4	yes	—
772	C₂⁴	C₂²×#120	1	4	yes	—
773	C₂⁴	C₂²×#120	1	4	yes	—
774	C₂⁴	C₂²×#120	1	4	yes	—
775	C₂⁴	C₂²×#120	1	4	yes	—
776	C₂⁴	C₂²×#120	1	1	yes	characteristic
777	C₂⁴	C₂²×#120	1	1	yes	characteristic
778	C₂⁴	C₂²×#120	1	1	yes	characteristic
779	C₂⁴	C₂²×#120	1	1	yes	characteristic
780	C₂⁴	C₂²×#120	1	2	yes	—
781	C₂⁴	C₂²×#120	1	2	yes	—
782	C₂⁴	C₂²×#120	1	2	yes	—
783	C₂⁴	C₂²×#120	1	2	yes	—
784	C₂⁴	C₂×#534	1	2	yes	—
785	C₂⁴	C₂×#534	1	2	yes	—
786	C₂⁴	C₂×#534	1	2	yes	—
787	C₂⁴	C₂×#534	1	2	yes	—
788	C₂⁴	C₂×D₄²	1	16	yes	—
789	C₂⁴	C₂×D₄²	1	8	yes	—
790	C₂⁴	C₂×D₄²	1	8	yes	—
791	C₂⁴	C₂×D₄²	1	4	yes	—
792	C₂⁴	C₂×D₄²	1	4	yes	—
793	C₂⁴	C₂×D₄²	1	4	yes	—
794	C₂⁴	C₂×D₄²	1	4	yes	—
795	C₂⁴	C₂×D₄²	1	4	yes	—
796	C₂⁴	C₂×D₄²	1	4	yes	—
797	C₂⁴	C₂×D₄²	1	4	yes	—
798	C₂⁴	C₂×D₄²	1	4	yes	—
799	C₂⁴	C₂×D₄²	1	8	yes	—
800	C₂⁴	C₂×D₄²	1	8	yes	—
801	C₂⁴	#3484	1	2	yes	—
802	C₂⁴	#3484	1	2	yes	—
803	C₂⁴	#3484	1	4	yes	—
804	C₂⁴	#3484	1	4	yes	—
805	C₂⁴	#3484	1	2	yes	—
806	C₂⁴	#3484	1	2	yes	—
807	C₂⁴	#3484	1	2	yes	—
808	C₂⁴	#3484	1	4	yes	—
809	C₂⁴	#3484	1	2	yes	—
810	C₂⁴	#3484	1	8	yes	—
811	C₂⁴	#3484	1	8	yes	—
812	C₂⁴	#3484	1	8	yes	—
813	C₂⁴	#3484	1	8	yes	—
814	C₂⁴	#3532	1	8	yes	—
815	C₂⁴	#3532	1	8	yes	—
816	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
817	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
818	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
819	C₂⁴	C₂⁴×D₄	1	2	yes	—
820	C₂⁴	C₂⁴×D₄	1	2	yes	—
821	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
822	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
823	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
824	C₂×D₄	#2403	1	16	yes	—
825	C₂×D₄	#2403	1	16	yes	—
826	C₂×D₄	#2403	1	16	yes	—
827	C₂×D₄	#2403	1	16	yes	—
828	C₂×D₄	C₂²×#120	1	8	yes	—
829	C₂×D₄	C₂²×#120	1	8	yes	—
830	C₂×D₄	C₂×#534	1	8	yes	—
831	C₂×D₄	C₂×#534	1	8	yes	—
832	C₂×D₄	C₂×D₄²	1	16	yes	—
833	C₂×D₄	C₂×D₄²	1	16	yes	—
834	C₂²×C₄	#2403	1	8	yes	—
835	C₂²×C₄	#2403	1	8	yes	—
836	C₂²×C₄	#2403	1	8	yes	—
837	C₂²×C₄	#2403	1	8	yes	—
838	C₂²×C₄	C₂²×#120	1	4	yes	—
839	C₂²×C₄	C₂²×#120	1	4	yes	—
840	C₂²×C₄	C₂²×#120	1	4	yes	—
841	C₂²×C₄	C₂²×#120	1	4	yes	—
842	C₂²×C₄	C₂²×#120	1	4	yes	—
843	C₂²×C₄	C₂×D₄²	1	16	yes	—
844	C₂²×C₄	C₂×D₄²	1	8	yes	—
845	C₂²×C₄	C₂×D₄²	1	8	yes	—
846	C₂²⋊C₄	C₂²×#120	1	8	yes	—
847	C₂²⋊C₄	C₂²×#120	1	8	yes	—
848	C₂³	C₂×#2403	1	8	yes	—
849	C₂³	C₂×#2403	1	8	yes	—
850	C₂³	C₂×#2403	1	2	yes	—
851	C₂³	C₂×#2403	1	2	yes	—
852	C₂³	C₂×#2403	1	2	yes	—
853	C₂³	C₂×#2403	1	2	yes	—
854	C₂³	C₂×#2403	1	2	yes	—
855	C₂³	C₂×#2403	1	2	yes	—
856	C₂³	C₂×#2403	1	2	yes	—
857	C₂³	C₂×#2403	1	2	yes	—
858	C₂³	#35346	1	1	yes	characteristic
859	C₂³	#35346	1	1	yes	characteristic
860	C₂³	#35346	1	2	yes	—
861	C₂³	#35346	1	2	yes	—
862	C₂³	#35346	1	2	yes	—
863	C₂³	D₄×#120	1	4	yes	—
864	C₂³	D₄×#120	1	4	yes	—
865	C₂³	D₄×#120	1	8	yes	—
866	C₂³	D₄×#120	1	8	yes	—
867	C₂³	D₄×#120	1	4	yes	—
868	C₂³	D₄×#120	1	4	yes	—
869	C₂³	#37644	1	4	yes	—
870	C₂³	#37644	1	4	yes	—
871	C₂³	#37644	1	4	yes	—
872	C₂³	#37644	1	4	yes	—
873	C₂³	#37644	1	8	yes	—
874	C₂³	#37644	1	8	yes	—
875	C₂³	#58990	1	8	yes	—
876	C₂³	#58990	1	8	yes	—
877	C₂³	#58990	1	8	yes	—
878	C₂³	#58990	1	8	yes	—
879	C₂³	C₂³×#120	1	1	yes	characteristic
880	C₂³	C₂³×#120	1	1	yes	characteristic
881	C₂³	C₂³×#120	1	1	yes	characteristic
882	C₂³	C₂²×#534	1	1	yes	characteristic
883	C₂³	C₂²×#534	1	1	yes	characteristic
884	C₂³	C₂²×D₄²	1	2	yes	—
885	C₂³	C₂²×D₄²	1	2	yes	—
886	C₂³	C₂²×D₄²	1	2	yes	—
887	C₂³	C₂²×D₄²	1	2	yes	—
888	C₂³	C₂²×D₄²	1	4	yes	—
889	C₂³	C₂×#3532	1	4	yes	—
890	C₂³	C₂×#3484	1	2	yes	—
891	C₂³	C₂×#3484	1	2	yes	—
892	C₂³	C₂×#3484	1	2	yes	—
893	C₂³	C₂×#3484	1	4	yes	—
894	C₂³	C₂×#3484	1	4	yes	—
895	C₂×C₄	C₂×#2403	1	8	yes	—
896	C₂×C₄	C₂×#2403	1	8	yes	—
897	C₂²	#647656	1	2	yes	—
898	C₂²	#647656	1	2	yes	—
899	C₂²	#647656	1	4	yes	—
900	C₂²	#647656	1	4	yes	—
901	C₂²	#647656	1	4	yes	—
902	C₂²	C₂²×#2403	1	1	yes	characteristic
903	C₂²	C₂²×#2403	1	1	yes	characteristic
904	C₂²	C₂×#35346	1	1	yes	characteristic
905	C₂²	C₂×D₄×#120	1	2	yes	—
906	C₂²	C₂×D₄×#120	1	2	yes	—
907	C₂²	C₂×#37644	1	2	yes	—
908	C₂²	C₂×#37644	1	2	yes	—
909	C₂²	C₂×#58990	1	4	yes	—
910	C₂	C₂×#647656	1	1	yes	characteristic
911	C₂	#72234693	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂×#35346
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72241086	C₂	semidirect
2. C₂×#417542	C₂	semidirect
3. #72241081	C₂	semidirect
4. #72241078	C₂	semidirect
5. #72241077	C₂	semidirect
6. #72241074	C₂	semidirect
7. #72241072	C₂	semidirect
8. #72241072	C₂	semidirect
9. #72241071	C₂	semidirect
10. #72241070	C₂	semidirect
11. C₂×#394273	C₂	semidirect
12. C₂×#359591	C₂	semidirect
13. #72240604	C₂	semidirect
14. #72240597	C₂	semidirect
15. C₂×#10574873	C₂	semidirect
16. #72238078	C₂	semidirect
17. #72238029	C₂	semidirect
18. C₂×#6437629	C₂	semidirect
19. C₂²×#23895	C₂	semidirect
20. C₂²×#60399	C₂	semidirect
21. #72233072	C₂	semidirect
22. C₂²×H(7,𝔽₂)	C₂²	semidirect
24. C₂×#62842	C₂²	semidirect
25. C₂×#62842	C₂²	semidirect
27. C₂²×#3484	C₂²	semidirect
28. C₂²×#3484	C₂²	semidirect
29. C₂×#60401	C₂²	semidirect
30. C₂×#60399	C₂²	semidirect
31. C₂×#60399	C₂²	semidirect
34. C₂²×#3026	C₂²	semidirect
35. C₂²×#3026	C₂²	semidirect
36. C₂²×#3026	C₂²	semidirect
37. C₂²×#3026	C₂²	semidirect
38. C₂²×#3026	C₂²	semidirect
39. C₂²×#3026	C₂²	semidirect
40. C₂²×#3026	C₂²	semidirect
41. C₂³×B(4,𝔽₂)	C₂²	semidirect
42. C₂³×B(4,𝔽₂)	C₂²	semidirect
43. C₂²×#2883	C₂²	semidirect
44. C₂²×#2883	C₂²	semidirect
45. C₂²×#2883	C₂²	semidirect
46. C₂²×#2883	C₂²	semidirect
47. #7682069	C₂²	semidirect
48. #7681928	C₂²	semidirect
49. #7630443	C₂²	semidirect
50. #7630443	C₂²	semidirect
52. #7630442	C₂²	semidirect
53. #7630442	C₂²	semidirect
54. C₂×#35390	C₂²	semidirect
55. C₂×#35348	C₂²	semidirect
56. C₂×#35348	C₂²	semidirect
57. C₂×#35346	C₂²	semidirect
58. C₂×#34980	C₂²	semidirect
59. #7625704	C₂²	semidirect
60. #7625704	C₂²	semidirect
61. #6628900	C₂²	semidirect
62. C₂×#23896	C₂²	semidirect
63. C₂×#23895	C₂²	semidirect
64. C₂×#23895	C₂²	semidirect
65. C₂×#23444	C₂²	semidirect
66. C₂×#23444	C₂²	semidirect
67. C₂²×#2021	C₂²	semidirect
68. C₂²×#2021	C₂²	semidirect
69. C₂²×#1913	C₂²	semidirect
70. C₂²×#1913	C₂²	semidirect
71. C₂²×#1913	C₂²	semidirect
72. C₂²×#1913	C₂²	semidirect
73. C₂²×#1913	C₂²	semidirect
74. C₂²×#1913	C₂²	semidirect
75. C₂×#20960	C₂²	semidirect
76. C₂²×#1889	C₂²	semidirect
77. C₂×#20609	C₂²	semidirect
78. C₂×#20609	C₂²	semidirect
79. C₂×#20585	C₂²	semidirect
80. C₂×#20585	C₂²	semidirect
81. C₂×#20585	C₂²	semidirect
82. C₂²×#1781	C₂²	semidirect
83. #5955303	C₂²	semidirect
84. #449469	C₂²	semidirect
85. #417823	C₂²	semidirect
86. #417821	C₂²	semidirect
87. #417543	C₂²	semidirect
88. #417542	C₂²	semidirect
89. #417542	C₂²	semidirect
90. #394274	C₂²	semidirect
91. #394273	C₂²	semidirect
92. #394273	C₂²	semidirect
93. #394068	C₂²	semidirect
94. #394067	C₂²	semidirect
95. #394066	C₂²	semidirect
96. #394066	C₂²	semidirect
97. #374008	C₂²	semidirect
98. #364545	C₂²	semidirect
99. #364545	C₂²	semidirect
100. #359592	C₂²	semidirect
101. #359591	C₂²	semidirect
102. #359591	C₂²	semidirect
103. C₂×#11166	C₂²	semidirect
104. C₂×#11089	C₂²	semidirect
105. C₂×#11089	C₂²	semidirect
106. #357530	C₂²	semidirect
107. C₂×#10991	C₂²	semidirect
108. #357481	C₂²	semidirect
109. #357481	C₂²	semidirect
110. #357460	C₂²	semidirect
111. C₂×#10972	C₂²	semidirect
112. C₂×#10972	C₂²	semidirect
113. C₂×#10972	C₂²	semidirect
114. #357421	C₂²	semidirect
115. C₂×#10965	C₂²	semidirect
116. #354054	C₂²	semidirect
117. #353427	C₂²	semidirect
118. #353427	C₂²	semidirect
119. C₂×#10768	C₂²	semidirect
120. C₂×#10768	C₂²	semidirect
121. C₂×H(7,𝔽₂)	C₂³	semidirect
127. C₂³×H(5,𝔽₂)	C₂³	semidirect
129. C₂×#3485	D₄	semidirect
131. C₂×#3485	C₂³	semidirect
132. C₂×#3485	C₂³	semidirect
133. C₂×#3484	D₄	semidirect
134. C₂×#3484	D₄	semidirect
138. C₂×#3484	C₂³	semidirect
139. C₂×#3484	C₂³	semidirect
140. C₂×#3484	C₂³	semidirect
141. C₂×#3449	D₄	semidirect
142. C₂²×#535	D₄	semidirect
143. C₂²×#534	D₄	semidirect
144. C₂²×#534	D₄	semidirect
158. C₂²×#534	C₂³	semidirect
159. C₂²×#534	C₂³	semidirect
160. C₂²×#525	D₄	semidirect
161. C₂³×#120	D₄	semidirect
165. C₂³×#120	C₂³	semidirect
166. C₂³×#120	C₂³	semidirect
167. C₂³×#120	C₂³	semidirect
172. C₂²×#518	C₂³	semidirect
173. C₂²×#518	C₂³	semidirect
174. C₂×#3026	D₄	semidirect
175. C₂×#3026	D₄	semidirect
180. C₂×#3026	C₂³	semidirect
181. C₂×#3026	C₂³	semidirect
182. C₂×#3026	C₂³	semidirect
183. C₂²×#458	C₂³	semidirect
184. C₂²×#458	C₂³	semidirect
185. C₂²×B(4,𝔽₂)	C₂³	semidirect
186. C₂²×B(4,𝔽₂)	C₂³	semidirect
187. C₂²×B(4,𝔽₂)	C₂³	semidirect
188. C₂²×B(4,𝔽₂)	C₂³	semidirect
189. C₂×#2883	C₂³	semidirect
190. C₂×#2883	C₂³	semidirect
191. C₂×#2883	C₂³	semidirect
192. C₂×#2883	C₂³	semidirect
205. C₂³×#99	C₂³	semidirect
206. C₂³×#99	C₂³	semidirect
207. C₂³×#99	C₂³	semidirect
208. #35447	C₂³	semidirect
209. #35447	C₂³	semidirect
210. #35446	D₄	semidirect
211. #35348	C₂³	semidirect
212. #35348	C₂³	semidirect
213. #35348	C₂³	semidirect
214. #35348	C₂³	semidirect
216. #35347	C₂³	semidirect
217. #35347	C₂³	semidirect
218. #35346	D₄	semidirect
219. #35088	D₄	semidirect
220. #34980	D₄	semidirect
221. C₂×#2539	C₂³	semidirect
222. C₂×#2404	C₂³	semidirect
223. C₂×#2433	C₂³	semidirect
224. C₂×#2405	C₂³	semidirect
225. C₂×#2403	C₂³	semidirect
226. C₂×#2403	C₂³	semidirect
227. #34273	C₂³	semidirect
228. #34273	C₂³	semidirect
229. C₂×#2315	C₂³	semidirect
230. C₂×#2315	C₂³	semidirect
236. C₂×#2308	C₂³	semidirect
237. C₂×#2308	C₂³	semidirect
238. C₂×#2308	C₂³	semidirect
239. C₂×#2308	C₂³	semidirect
240. C₂×#2308	C₂³	semidirect
241. C₂²×#379	C₂³	semidirect
242. C₂²×#379	C₂³	semidirect
243. C₂×#2273	C₂³	semidirect
244. C₂×#2022	C₂³	semidirect
245. C₂×#2022	C₂³	semidirect
246. C₂×#2021	C₂³	semidirect
247. C₂×#2021	C₂³	semidirect
248. C₂×#2021	C₂³	semidirect
249. C₂×#2021	C₂³	semidirect
250. C₂×#1913	C₂³	semidirect
251. C₂×#1913	C₂³	semidirect
252. C₂×#1913	C₂³	semidirect
253. C₂×#1913	C₂³	semidirect
254. C₂×#1913	C₂³	semidirect
255. C₂×#1913	C₂³	semidirect
256. C₂×#1890	C₂³	semidirect
257. C₂×#1889	C₂³	semidirect
258. C₂×#1889	C₂³	semidirect
259. C₂×#1790	C₂³	semidirect
260. C₂×#1790	C₂³	semidirect
261. #20585	C₂³	semidirect
262. #20585	C₂³	semidirect
263. C₂×#1782	C₂³	semidirect
264. C₂×#1781	C₂³	semidirect
265. C₂×#1781	C₂³	semidirect
266. C₂²×#342	C₂³	semidirect
267. C₂²×#342	C₂³	semidirect
268. C₂²×#342	C₂³	semidirect
269. C₂²×#342	C₂³	semidirect
270. C₂²×#342	C₂³	semidirect
271. C₂²×#342	C₂³	semidirect
272. #14911	C₂³	semidirect
273. #14715	C₂³	semidirect
274. #13794	C₂³	semidirect
275. #11166	C₂³	semidirect
276. #11089	C₂³	semidirect
277. #11089	C₂³	semidirect
278. #10995	C₂³	semidirect
279. #10995	C₂³	semidirect
280. #10992	C₂³	semidirect
281. #10991	C₂³	semidirect
282. #10991	C₂³	semidirect
283. #10980	C₂³	semidirect
284. #10972	C₂³	semidirect
285. #10972	C₂³	semidirect
286. #10972	C₂³	semidirect
287. #10966	C₂³	semidirect
288. #10965	C₂³	semidirect
289. #10965	C₂³	semidirect
290. #10960	C₂³	semidirect
291. #10768	C₂³	semidirect
292. #10768	C₂³	semidirect
293. #10745	C₂³	semidirect
294. #10745	C₂³	semidirect
295. C₂⁷	C₂×D₄	semidirect
300. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
301. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
306. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
310. C₂³×#41	C₂×D₄	semidirect
311. C₂³×#41	C₂×D₄	semidirect
316. C₂⁴×D₄	C₂×D₄	semidirect
317. C₂⁴×D₄	C₂×D₄	semidirect
318. C₂⁴×D₄	C₂×D₄	semidirect
319. C₂⁴×D₄	C₂×D₄	semidirect
320. C₂⁴×D₄	C₂×D₄	semidirect
331. C₂⁴×D₄	C₂⁴	semidirect
332. C₂⁵×C₄	C₂×D₄	semidirect
333. C₂×#536	C₂×D₄	semidirect
334. C₂×#535	C₂×D₄	semidirect
335. C₂×#535	C₂×D₄	semidirect
342. C₂×#534	C₂×D₄	semidirect
343. C₂×#534	C₂×D₄	semidirect
344. C₂×#534	C₂×D₄	semidirect
345. C₂×#534	C₂×D₄	semidirect
346. C₂×#534	C₂×D₄	semidirect
347. C₂×#534	C₂×D₄	semidirect
348. C₂×#534	C₂×D₄	semidirect
349. C₂×#534	C₂×D₄	semidirect
350. C₂×#534	C₂×D₄	semidirect
351. C₂×#534	C₂×D₄	semidirect
352. C₂×#534	C₂×D₄	semidirect
362. C₂×#525	C₂×D₄	semidirect
363. C₂×#525	C₂×D₄	semidirect
364. C₂×#525	C₂×D₄	semidirect
367. C₂²×#123	C₂×D₄	semidirect
368. C₂²×#123	C₂×D₄	semidirect
369. C₂²×#123	C₂×D₄	semidirect
370. C₂²×#123	C₂×D₄	semidirect
371. C₂²×#123	C₂×D₄	semidirect
372. C₂²×#123	C₂×D₄	semidirect
373. C₂²×#123	C₂×D₄	semidirect
377. C₂²×#123	C₂⁴	semidirect
378. C₂²×#123	C₂⁴	semidirect
385. C₂²×#120	C₂×D₄	semidirect
386. C₂²×#120	C₂×D₄	semidirect
387. C₂²×#120	C₂×D₄	semidirect
388. C₂²×#120	C₂×D₄	semidirect
389. C₂²×#120	C₂×D₄	semidirect
390. C₂²×#120	C₂×D₄	semidirect
391. C₂²×#120	C₂×D₄	semidirect
392. C₂²×#120	C₂×D₄	semidirect
393. C₂²×#120	C₂×D₄	semidirect
394. C₂²×#120	C₂×D₄	semidirect
395. C₂²×#120	C₂×D₄	semidirect
402. C₂²×#120	C₂⁴	semidirect
403. C₂²×#120	C₂⁴	semidirect
404. C₂²×#120	C₂⁴	semidirect
405. C₂²×#120	C₂⁴	semidirect
406. C₂×#518	C₂×D₄	semidirect
407. C₂×#518	C₂×D₄	semidirect
412. C₂×#518	C₂⁴	semidirect
413. C₂×#518	C₂⁴	semidirect
414. C₂²×#117	C₂×D₄	semidirect
415. C₂²×#117	C₂×D₄	semidirect
416. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
417. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
428. C₂³×C₂²⋊C₄	C₂⁴	semidirect
429. #3026	C₂×D₄	semidirect
430. #3026	C₂×D₄	semidirect
431. C₂²×#99	C₂×D₄	semidirect
432. C₂²×#99	C₂×D₄	semidirect
433. C₂²×#99	C₂×D₄	semidirect
434. C₂²×#99	C₂×D₄	semidirect
447. C₂²×#99	C₂⁴	semidirect
448. C₂²×#99	C₂⁴	semidirect
449. C₂²×#99	C₂⁴	semidirect
450. #2406	C₂×D₄	semidirect
451. #2405	C₂×D₄	semidirect
452. #2404	C₂×D₄	semidirect
453. #2403	C₂×D₄	semidirect
454. #2315	C₂⁴	semidirect
455. #2315	C₂⁴	semidirect
456. #2308	C₂×D₄	semidirect
457. #2308	C₂×D₄	semidirect
458. #2308	C₂×D₄	semidirect
459. #2308	C₂×D₄	semidirect
460. #2308	C₂×D₄	semidirect
463. #2308	C₂⁴	semidirect
467. C₂×#386	C₂⁴	semidirect
468. C₂×#386	C₂⁴	semidirect
469. C₂×#381	C₂×D₄	semidirect
470. C₂×#381	C₂⁴	semidirect
471. C₂×#381	C₂⁴	semidirect
472. C₂×#379	C₂×D₄	semidirect
473. C₂×#379	C₂⁴	semidirect
474. C₂×#379	C₂⁴	semidirect
475. C₂×#379	C₂⁴	semidirect
476. C₂×#379	C₂⁴	semidirect
477. C₂×C₄×C₂²⋊C₄	C₂⁴	semidirect
478. C₂×#342	C₂⁴	semidirect
479. C₂×#342	C₂⁴	semidirect
480. C₂×#342	C₂⁴	semidirect
481. C₂×#342	C₂⁴	semidirect
482. C₂×#342	C₂⁴	semidirect
483. C₂×#342	C₂⁴	semidirect
484. C₂²⋊#95	C₂⁴	semidirect
496. C₂⁶	C₂²×D₄	semidirect
502. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
510. C₂³×Q₈	C₂²×D₄	semidirect
548. C₂³×D₄	C₂²×D₄	semidirect
549. C₂³×D₄	C₂²×D₄	semidirect
550. C₂³×D₄	C₂²×D₄	semidirect
551. C₂³×D₄	C₂²×D₄	semidirect
572. C₂⁴×C₄	C₂²×D₄	semidirect
573. C₂⁴×C₄	C₂²×D₄	semidirect
574. C₂⁴×C₄	C₂²×D₄	semidirect
578. #534	#120	semidirect
579. #534	#120	semidirect
583. #534	C₂²×D₄	semidirect
584. C₂×#123	#120	semidirect
585. C₂×#123	#120	semidirect
591. C₂×#123	C₂²×D₄	semidirect
592. C₂×#123	C₂²×D₄	semidirect
593. C₂×#123	C₂²×D₄	semidirect
594. C₂×#120	#120	semidirect
595. C₂×#120	#120	semidirect
605. C₂×#120	C₂²×D₄	semidirect
606. C₂×#120	C₂²×D₄	semidirect
607. C₂×#120	C₂²×D₄	semidirect
609. C₂×#117	C₂²×D₄	semidirect
610. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
630. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
631. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
632. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
643. C₂×#99	C₂²×D₄	semidirect
644. C₂×#99	C₂²×D₄	semidirect
645. C₂×#99	C₂²×D₄	semidirect
647. #386	C₂²×D₄	semidirect
648. #381	C₂²×D₄	semidirect
649. #379	C₂²×D₄	semidirect
661. C₂⁵	D₄²	semidirect
711. C₂²×D₄	D₄²	semidirect
739. C₂³×C₄	D₄²	semidirect

Maximal subgroups

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

subgroup	index
#72241086	2
C₂×#417542	2
#72241081	2
#72241078	2
#72241077	2
#72241074	2
#72241072	2
#72241071	2
#72241070	2
C₂×#394273	2
C₂×#359591	2
#72240604	2
#72240597	2
C₂×#10574873	2
#72238078	2
#72238029	2
C₂×#6437629	2
C₂²×#23895	2
C₂²×#60399	2
#72233072	2