Subgroups — C₂³×#62863 #72325026

Order 2048.

9207944 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#3560	C₂	1	8	yes	maximal, complemented
2	C₂³×#3533	C₂	1	8	yes	maximal, complemented
3	C₂⁴×#538	C₂	1	2	yes	maximal, complemented
4	C₂³×#3505	C₂	1	4	yes	maximal, complemented
5	C₂³×#3558	C₂	1	8	yes	maximal, complemented
6	C₂³×#3534	C₂	1	8	yes	maximal, complemented
7	C₂⁴×#534	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×#3496	C₂	1	4	yes	maximal, complemented
9	C₂³×#3532	C₂	1	8	yes	maximal, complemented
10	C₂²×#62863	C₂	1	448	yes	maximal, direct product factor
11	C₂³×#3537	C₂	1	8	yes	maximal, complemented
12	C₂³×#3484	C₂	1	4	yes	maximal, complemented
13	C₂⁴×H(5,𝔽₂)	C₂²	1	4	yes	complemented
14	C₂⁶×D₄	C₂²	1	2	yes	complemented
15	C₂×#62863	C₂²	1	28672	yes	direct product factor
16	C₂²×#3560	C₂²	1	1792	yes	complemented
17	C₂²×#3558	C₂²	1	1792	yes	complemented
18	C₂²×#3533	C₂²	1	1792	yes	complemented
19	C₂²×#3537	C₂²	1	1792	yes	complemented
20	C₂²×#3534	C₂²	1	1792	yes	complemented
21	C₂²×#3532	C₂²	1	1792	yes	complemented
22	C₂³×#563	C₂²	1	8	yes	complemented
23	C₂³×#562	C₂²	1	16	yes	complemented
24	C₂³×H(3,𝔽₄)	C₂²	1	8	yes	complemented
25	C₂³×#560	C₂²	1	16	yes	complemented
26	C₂³×#560	C₂²	1	8	yes	complemented
27	C₂³×#560	C₂²	1	8	yes	complemented
28	C₂²×#3505	C₂²	1	896	yes	complemented
29	C₂²×#3496	C₂²	1	896	yes	complemented
30	C₂²×#3484	C₂²	1	896	yes	complemented
31	C₂³×#559	C₂²	1	8	yes	complemented
32	C₂³×#553	C₂²	1	16	yes	complemented
33	C₂³×#553	C₂²	1	16	yes	complemented
34	C₂³×#553	C₂²	1	8	yes	complemented
35	C₂³×#552	C₂²	1	8	yes	complemented
36	C₂³×#551	C₂²	1	16	yes	complemented
37	C₂³×#551	C₂²	1	8	yes	complemented
38	C₂³×#551	C₂²	1	8	yes	complemented
39	C₂³×#547	C₂²	1	8	yes	complemented
40	C₂³×#547	C₂²	1	8	yes	complemented
41	C₂³×#548	C₂²	1	8	yes	complemented
42	C₂³×#546	C₂²	1	16	yes	complemented
43	C₂³×#546	C₂²	1	8	yes	complemented
44	C₂³×#546	C₂²	1	16	yes	complemented
45	C₂³×#546	C₂²	1	16	yes	complemented
46	C₂³×#546	C₂²	1	16	yes	complemented
47	C₂³×#546	C₂²	1	16	yes	complemented
48	C₂³×D₄²	C₂²	1	8	yes	complemented
49	C₂³×D₄²	C₂²	1	16	yes	complemented
50	C₂³×D₄²	C₂²	1	16	yes	complemented
51	C₂³×D₄²	C₂²	1	8	yes	complemented
52	C₂³×D₄²	C₂²	1	8	yes	complemented
53	C₂³×#542	C₂²	1	16	yes	complemented
54	C₂³×#540	C₂²	1	16	yes	complemented
55	C₂³×#537	C₂²	1	8	yes	complemented
56	C₂³×#535	C₂²	1	8	yes	complemented
57	C₂³×#535	C₂²	1	16	yes	complemented
58	C₂³×#539	C₂²	1	16	yes	complemented
59	C₂³×#539	C₂²	1	8	yes	complemented
60	C₂³×#538	C₂²	1	16	yes	complemented
61	C₂³×#538	C₂²	1	8	yes	complemented
62	C₂³×#538	C₂²	1	8	yes	complemented
63	C₂³×#538	C₂²	1	16	yes	complemented
64	C₂³×#538	C₂²	1	16	yes	complemented
65	C₂³×#538	C₂²	1	16	yes	complemented
66	C₂³×#538	C₂²	1	8	yes	complemented
67	C₂³×#538	C₂²	1	448	yes	complemented
68	C₂³×#534	C₂²	1	8	yes	complemented
69	C₂³×#534	C₂²	1	8	yes	complemented
70	C₂³×#534	C₂²	1	8	yes	complemented
71	C₂³×#534	C₂²	1	8	yes	complemented
72	C₂³×#534	C₂²	1	16	yes	complemented
73	C₂³×#534	C₂²	1	8	yes	complemented
74	C₂³×#534	C₂²	1	224	yes	complemented
75	C₂³×#532	C₂²	1	8	yes	complemented
76	C₂³×#529	C₂²	1	8	yes	complemented
77	C₂⁴×#126	C₂²	1	4	yes	complemented
78	C₂⁴×#124	C₂²	1	4	yes	complemented
79	C₂³×#525	C₂²	1	8	yes	complemented
80	C₂³×#525	C₂²	1	8	yes	complemented
81	C₂⁴×#123	C₂²	1	4	yes	complemented
82	C₂⁴×#123	C₂²	1	4	yes	complemented
83	C₂⁴×C₂²⋊Q₈	C₂²	1	2	yes	complemented
84	C₂⁴×#121	C₂²	1	4	yes	complemented
85	C₂⁴×#121	C₂²	1	2	yes	complemented
86	C₂⁴×#121	C₂²	1	4	yes	complemented
87	C₂⁴×#121	C₂²	1	8	yes	complemented
88	C₂⁴×#120	C₂²	1	4	yes	complemented
89	C₂⁴×#120	C₂²	1	4	yes	complemented
90	C₂⁴×#120	C₂²	1	8	yes	complemented
91	C₂³×#518	C₂²	1	4	yes	complemented
92	C₂⁴×C₄×D₄	C₂²	1	4	yes	complemented
93	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
94	C₂⁸	C₂³	1	1	yes	characteristic
95	C₂⁸	C₂³	1	2	yes	—
96	C₂³×H(5,𝔽₂)	—	4	128	no	—
97	C₂³×H(5,𝔽₂)	C₂³	1	448	yes	complemented
98	C₂⁴×#41	C₂³	1	8	yes	—
99	C₂⁴×#41	C₂³	1	16	yes	complemented
100	C₂⁴×#41	C₂³	1	8	yes	complemented
101	C₂⁵×Q₈	C₂³	1	2	yes	complemented
102	C₂⁵×D₄	—	4	64	no	—
103	C₂⁵×D₄	C₂³	1	4	yes	—
104	C₂⁵×D₄	C₂³	1	4	yes	—
105	C₂⁵×D₄	C₂³	1	4	yes	—
106	C₂⁵×D₄	C₂³	1	8	yes	—
107	C₂⁵×D₄	C₂³	1	16	yes	—
108	C₂⁵×D₄	C₂³	1	4	yes	—
109	C₂⁵×D₄	C₂³	1	4	yes	—
110	C₂⁵×D₄	C₂³	1	4	yes	—
111	C₂⁵×D₄	C₂³	1	224	yes	complemented
112	C₂⁵×D₄	C₂³	1	16	yes	complemented
113	C₂⁵×D₄	C₂³	1	16	yes	complemented
114	C₂⁵×D₄	C₂³	1	2	yes	complemented
115	C₂⁵×D₄	C₂³	1	8	yes	complemented
116	C₂⁶×C₄	C₂³	1	2	yes	—
117	C₂⁶×C₄	C₂³	1	2	yes	—
118	C₂⁶×C₄	C₂³	1	4	yes	complemented
119	#62863	C₂³	1	262144	yes	direct product factor
120	C₂×#3505	C₂³	1	28672	yes	complemented
121	C₂×#3496	C₂³	1	28672	yes	complemented
122	C₂×#3484	C₂³	1	28672	yes	complemented
123	C₂×#3560	C₂³	1	57344	yes	complemented
124	C₂×#3558	C₂³	1	57344	yes	complemented
125	C₂×#3533	C₂³	1	57344	yes	complemented
126	C₂×#3537	C₂³	1	57344	yes	complemented
127	C₂×#3534	C₂³	1	57344	yes	complemented
128	C₂×#3532	C₂³	1	57344	yes	complemented
129	C₂²×#559	C₂³	1	896	yes	complemented
130	C₂²×#553	C₂³	1	1792	yes	complemented
131	C₂²×#553	C₂³	1	896	yes	complemented
132	C₂²×#553	C₂³	1	1792	yes	complemented
133	C₂²×#552	C₂³	1	896	yes	complemented
134	C₂²×#551	C₂³	1	1792	yes	complemented
135	C₂²×#551	C₂³	1	896	yes	complemented
136	C₂²×#551	C₂³	1	896	yes	complemented
137	C₂²×#547	C₂³	1	896	yes	complemented
138	C₂²×#547	C₂³	1	896	yes	complemented
139	C₂²×#548	C₂³	1	896	yes	complemented
140	C₂²×#546	C₂³	1	1792	yes	complemented
141	C₂²×#546	C₂³	1	896	yes	complemented
142	C₂²×#546	C₂³	1	1792	yes	complemented
143	C₂²×#546	C₂³	1	1792	yes	complemented
144	C₂²×#546	C₂³	1	1792	yes	complemented
145	C₂²×#546	C₂³	1	1792	yes	complemented
146	C₂²×D₄²	C₂³	1	896	yes	complemented
147	C₂²×D₄²	C₂³	1	1792	yes	complemented
148	C₂²×D₄²	C₂³	1	1792	yes	complemented
149	C₂²×D₄²	C₂³	1	896	yes	complemented
150	C₂²×D₄²	C₂³	1	896	yes	complemented
151	C₂²×#563	C₂³	1	896	yes	complemented
152	C₂²×#562	C₂³	1	1792	yes	complemented
153	C₂²×H(3,𝔽₄)	C₂³	1	896	yes	complemented
154	C₂²×#560	C₂³	1	1792	yes	complemented
155	C₂²×#560	C₂³	1	896	yes	complemented
156	C₂²×#560	C₂³	1	896	yes	complemented
157	C₂²×#542	C₂³	1	1792	yes	complemented
158	C₂²×#540	C₂³	1	1792	yes	complemented
159	C₂²×#537	C₂³	1	896	yes	complemented
160	C₂²×#535	C₂³	1	896	yes	complemented
161	C₂²×#535	C₂³	1	1792	yes	complemented
162	C₂²×#539	C₂³	1	1792	yes	complemented
163	C₂²×#539	C₂³	1	896	yes	complemented
164	C₂²×#538	C₂³	1	1792	yes	complemented
165	C₂²×#538	C₂³	1	896	yes	complemented
166	C₂²×#538	C₂³	1	896	yes	complemented
167	C₂²×#538	C₂³	1	1792	yes	complemented
168	C₂²×#538	C₂³	1	1792	yes	complemented
169	C₂²×#538	C₂³	1	1792	yes	complemented
170	C₂²×#538	C₂³	1	896	yes	complemented
171	C₂²×#538	C₂³	1	14336	yes	complemented
172	C₂²×#534	C₂³	1	896	yes	complemented
173	C₂²×#534	C₂³	1	896	yes	complemented
174	C₂²×#534	C₂³	1	896	yes	complemented
175	C₂²×#534	C₂³	1	896	yes	complemented
176	C₂²×#534	C₂³	1	1792	yes	complemented
177	C₂²×#534	C₂³	1	896	yes	complemented
178	C₂²×#534	C₂³	1	7168	yes	complemented
179	C₂²×#532	C₂³	1	896	yes	complemented
180	C₂³×C₄⋊Q₈	C₂³	1	8	yes	complemented
181	C₂³×#127	C₂³	1	8	yes	—
182	C₂³×#127	C₂³	1	8	yes	—
183	C₂³×#127	C₂³	1	8	yes	complemented
184	C₂²×#529	C₂³	1	896	yes	complemented
185	C₂³×#126	C₂³	1	16	yes	complemented
186	C₂³×#126	C₂³	1	16	yes	complemented
187	C₂³×#126	C₂³	1	16	yes	complemented
188	C₂³×#126	C₂³	1	16	yes	complemented
189	C₂³×#126	C₂³	1	16	yes	complemented
190	C₂³×#126	C₂³	1	448	yes	complemented
191	C₂³×#125	C₂³	1	8	yes	complemented
192	C₂³×#125	C₂³	1	16	yes	complemented
193	C₂³×#124	C₂³	1	8	yes	—
194	C₂³×#124	C₂³	1	8	yes	—
195	C₂³×#124	C₂³	1	16	yes	complemented
196	C₂³×#124	C₂³	1	16	yes	complemented
197	C₂³×#124	C₂³	1	16	yes	complemented
198	C₂³×#124	C₂³	1	8	yes	complemented
199	C₂³×#124	C₂³	1	16	yes	complemented
200	C₂³×#124	C₂³	1	448	yes	complemented
201	C₂²×#525	C₂³	1	896	yes	complemented
202	C₂²×#525	C₂³	1	896	yes	complemented
203	C₂³×#123	C₂³	1	8	yes	—
204	C₂³×#123	C₂³	1	8	yes	—
205	C₂³×#123	C₂³	1	8	yes	—
206	C₂³×#123	C₂³	1	16	yes	—
207	C₂³×#123	C₂³	1	16	yes	—
208	C₂³×#123	C₂³	1	8	yes	—
209	C₂³×#123	C₂³	1	448	yes	complemented
210	C₂³×#123	C₂³	1	16	yes	complemented
211	C₂³×#123	C₂³	1	16	yes	complemented
212	C₂³×#123	C₂³	1	16	yes	complemented
213	C₂³×#123	C₂³	1	16	yes	complemented
214	C₂³×#123	C₂³	1	16	yes	complemented
215	C₂³×#123	C₂³	1	16	yes	complemented
216	C₂³×#123	C₂³	1	16	yes	complemented
217	C₂³×#123	C₂³	1	16	yes	complemented
218	C₂³×#123	C₂³	1	448	yes	complemented
219	C₂³×C₂²⋊Q₈	C₂³	1	8	yes	—
220	C₂³×C₂²⋊Q₈	C₂³	1	8	yes	complemented
221	C₂³×C₂²⋊Q₈	C₂³	1	16	yes	complemented
222	C₂³×C₂²⋊Q₈	C₂³	1	16	yes	complemented
223	C₂³×C₂²⋊Q₈	C₂³	1	16	yes	complemented
224	C₂³×C₂²⋊Q₈	C₂³	1	16	yes	complemented
225	C₂³×C₂²⋊Q₈	C₂³	1	8	yes	complemented
226	C₂³×C₂²⋊Q₈	C₂³	1	224	yes	complemented
227	C₂³×#121	C₂³	1	16	yes	—
228	C₂³×#121	C₂³	1	16	yes	—
229	C₂³×#121	C₂³	1	8	yes	—
230	C₂³×#121	C₂³	1	8	yes	—
231	C₂³×#121	C₂³	1	8	yes	—
232	C₂³×#121	C₂³	1	8	yes	—
233	C₂³×#121	C₂³	1	8	yes	—
234	C₂³×#121	C₂³	1	16	yes	—
235	C₂³×#121	C₂³	1	16	yes	—
236	C₂³×#121	C₂³	1	448	yes	complemented
237	C₂³×#121	C₂³	1	16	yes	complemented
238	C₂³×#121	C₂³	1	16	yes	complemented
239	C₂³×#121	C₂³	1	8	yes	complemented
240	C₂³×#121	C₂³	1	16	yes	complemented
241	C₂³×#121	C₂³	1	16	yes	complemented
242	C₂³×#121	C₂³	1	8	yes	complemented
243	C₂³×#121	C₂³	1	16	yes	complemented
244	C₂³×#121	C₂³	1	8	yes	complemented
245	C₂³×#121	C₂³	1	8	yes	complemented
246	C₂³×#121	C₂³	1	16	yes	complemented
247	C₂³×#121	C₂³	1	16	yes	complemented
248	C₂³×#121	C₂³	1	16	yes	complemented
249	C₂³×#121	C₂³	1	16	yes	complemented
250	C₂³×#121	C₂³	1	224	yes	complemented
251	C₂³×#121	C₂³	1	448	yes	complemented
252	C₂³×#121	C₂³	1	896	yes	complemented
253	C₂³×#120	C₂³	1	16	yes	—
254	C₂³×#120	C₂³	1	16	yes	—
255	C₂³×#120	C₂³	1	8	yes	—
256	C₂³×#120	C₂³	1	8	yes	—
257	C₂³×#120	C₂³	1	16	yes	—
258	C₂³×#120	C₂³	1	16	yes	—
259	C₂³×#120	C₂³	1	8	yes	—
260	C₂³×#120	C₂³	1	8	yes	—
261	C₂³×#120	C₂³	1	448	yes	complemented
262	C₂³×#120	C₂³	1	448	yes	complemented
263	C₂³×#120	C₂³	1	16	yes	complemented
264	C₂³×#120	C₂³	1	16	yes	complemented
265	C₂³×#120	C₂³	1	16	yes	complemented
266	C₂³×#120	C₂³	1	16	yes	complemented
267	C₂³×#120	C₂³	1	16	yes	complemented
268	C₂³×#120	C₂³	1	896	yes	complemented
269	C₂²×#518	C₂³	1	448	yes	complemented
270	C₂³×C₄×Q₈	C₂³	1	8	yes	complemented
271	C₂³×C₄×D₄	C₂³	1	8	yes	—
272	C₂³×C₄×D₄	C₂³	1	8	yes	—
273	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
274	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
275	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
276	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
277	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
278	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
279	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
280	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
281	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
282	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
283	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
284	C₂³×C₄×D₄	C₂³	1	448	yes	complemented
285	C₂³×#117	C₂³	1	8	yes	—
286	C₂³×#117	C₂³	1	8	yes	complemented
287	C₂³×#117	C₂³	1	16	yes	complemented
288	C₂⁴×C₄⋊C₄	C₂³	1	4	yes	—
289	C₂⁴×C₄⋊C₄	C₂³	1	4	yes	complemented
290	C₂⁴×C₄⋊C₄	C₂³	1	4	yes	complemented
291	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	complemented
292	C₂⁴×C₄⋊C₄	C₂³	1	8	yes	complemented
293	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	complemented
294	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
295	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
296	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
297	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
298	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
299	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
300	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
302	C₂⁴×C₂²⋊C₄	C₂³	1	112	yes	complemented
303	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
304	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	complemented
305	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
306	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	complemented
307	C₂⁴×C₄²	C₂³	1	4	yes	complemented
308	C₂⁷	—	2	32	no	—
309	C₂⁷	—	4	32	no	—
310	C₂⁷	—	8	16	no	—
311	C₂⁷	—	8	32	no	—
312	C₂⁷	C₂⁴	1	2	yes	—
313	C₂⁷	C₂⁴	1	4	yes	—
314	C₂⁷	C₂⁴	1	4	yes	—
315	C₂⁷	C₂⁴	1	4	yes	—
316	C₂⁷	C₂⁴	1	56	yes	—
317	C₂⁷	C₂⁴	1	8	yes	—
318	C₂⁷	C₂⁴	1	8	yes	—
319	C₂⁷	C₂⁴	1	1	yes	characteristic
320	C₂⁷	C₂⁴	1	112	yes	—
321	C₂²×H(5,𝔽₂)	—	4	7168	no	—
322	C₂²×H(5,𝔽₂)	C₂⁴	1	7168	yes	complemented
323	C₂³×#41	—	4	128	no	—
324	C₂³×#41	—	4	256	no	—
325	C₂³×#41	—	8	64	no	—
326	C₂³×#41	C₂⁴	1	448	yes	—
327	C₂³×#41	C₂⁴	1	896	yes	complemented
328	C₂³×#41	C₂⁴	1	448	yes	complemented
329	C₂⁴×Q₈	—	8	16	no	—
330	C₂⁴×Q₈	C₂⁴	1	8	yes	—
331	C₂⁴×Q₈	C₂⁴	1	8	yes	—
332	C₂⁴×Q₈	C₂⁴	1	112	yes	complemented
333	C₂⁴×D₄	—	2	128	no	—
334	C₂⁴×D₄	—	2	128	no	—
335	C₂⁴×D₄	—	4	64	no	—
336	C₂⁴×D₄	—	4	256	no	—
337	C₂⁴×D₄	—	4	3584	no	—
338	C₂⁴×D₄	—	4	128	no	—
339	C₂⁴×D₄	—	4	256	no	—
340	C₂⁴×D₄	—	8	32	no	—
341	C₂⁴×D₄	—	8	32	no	—
342	C₂⁴×D₄	—	8	32	no	—
343	C₂⁴×D₄	—	8	16	no	—
344	C₂⁴×D₄	—	8	64	no	—
345	C₂⁴×D₄	—	8	128	no	—
346	C₂⁴×D₄	C₂⁴	1	16	yes	—
347	C₂⁴×D₄	C₂⁴	1	8	yes	—
348	C₂⁴×D₄	C₂⁴	1	8	yes	—
349	C₂⁴×D₄	C₂⁴	1	224	yes	—
350	C₂⁴×D₄	C₂⁴	1	224	yes	—
351	C₂⁴×D₄	C₂⁴	1	8	yes	—
352	C₂⁴×D₄	C₂⁴	1	8	yes	—
353	C₂⁴×D₄	C₂⁴	1	224	yes	—
354	C₂⁴×D₄	C₂⁴	1	896	yes	—
355	C₂⁴×D₄	C₂⁴	1	16	yes	—
356	C₂⁴×D₄	C₂⁴	1	8	yes	—
357	C₂⁴×D₄	C₂⁴	1	16	yes	—
358	C₂⁴×D₄	C₂⁴	1	16	yes	—
359	C₂⁴×D₄	C₂⁴	1	8	yes	—
360	C₂⁴×D₄	C₂⁴	1	448	yes	—
361	C₂⁴×D₄	C₂⁴	1	8	yes	—
362	C₂⁴×D₄	C₂⁴	1	16	yes	—
363	C₂⁴×D₄	C₂⁴	1	8	yes	—
364	C₂⁴×D₄	C₂⁴	1	16	yes	—
365	C₂⁴×D₄	C₂⁴	1	224	yes	—
366	C₂⁴×D₄	C₂⁴	1	224	yes	—
367	C₂⁴×D₄	C₂⁴	1	224	yes	—
368	C₂⁴×D₄	C₂⁴	1	3584	yes	complemented
369	C₂⁴×D₄	C₂⁴	1	896	yes	complemented
370	C₂⁴×D₄	C₂⁴	1	896	yes	complemented
371	C₂⁴×D₄	C₂⁴	1	112	yes	complemented
372	C₂⁴×D₄	C₂⁴	1	448	yes	complemented
373	C₂⁵×C₄	—	4	32	no	—
374	C₂⁵×C₄	—	8	16	no	—
375	C₂⁵×C₄	—	8	32	no	—
376	C₂⁵×C₄	C₂⁴	1	4	yes	—
377	C₂⁵×C₄	C₂⁴	1	4	yes	—
378	C₂⁵×C₄	C₂⁴	1	4	yes	—
379	C₂⁵×C₄	C₂⁴	1	8	yes	—
380	C₂⁵×C₄	C₂⁴	1	4	yes	—
381	C₂⁵×C₄	C₂⁴	1	112	yes	—
382	C₂⁵×C₄	C₂⁴	1	2	yes	—
383	C₂⁵×C₄	C₂⁴	1	2	yes	—
384	C₂⁵×C₄	C₂⁴	1	4	yes	—
385	C₂⁵×C₄	C₂⁴	1	8	yes	—
386	C₂⁵×C₄	C₂⁴	1	8	yes	—
387	C₂⁵×C₄	C₂⁴	1	4	yes	—
388	C₂⁵×C₄	C₂⁴	1	8	yes	—
389	C₂⁵×C₄	C₂⁴	1	16	yes	—
390	C₂⁵×C₄	C₂⁴	1	16	yes	—
391	C₂⁵×C₄	C₂⁴	1	112	yes	—
392	C₂⁵×C₄	C₂⁴	1	224	yes	complemented
393	#3560	C₂⁴	1	262144	yes	complemented
394	#3558	C₂⁴	1	262144	yes	complemented
395	#3537	C₂⁴	1	262144	yes	complemented
396	#3534	C₂⁴	1	262144	yes	complemented
397	#3533	C₂⁴	1	262144	yes	complemented
398	#3532	C₂⁴	1	262144	yes	complemented
399	C₂×#563	C₂⁴	1	14336	yes	complemented
400	C₂×#562	C₂⁴	1	28672	yes	complemented
401	C₂×H(3,𝔽₄)	C₂⁴	1	14336	yes	complemented
402	C₂×#560	C₂⁴	1	28672	yes	complemented
403	C₂×#560	C₂⁴	1	14336	yes	complemented
404	C₂×#560	C₂⁴	1	14336	yes	complemented
405	#3505	C₂⁴	1	131072	yes	complemented
406	#3496	C₂⁴	1	131072	yes	complemented
407	#3484	C₂⁴	1	131072	yes	complemented
408	C₂×#559	C₂⁴	1	14336	yes	complemented
409	C₂×#553	C₂⁴	1	28672	yes	complemented
410	C₂×#553	C₂⁴	1	14336	yes	complemented
411	C₂×#553	C₂⁴	1	28672	yes	complemented
412	C₂×#552	C₂⁴	1	14336	yes	complemented
413	C₂×#551	C₂⁴	1	28672	yes	complemented
414	C₂×#551	C₂⁴	1	14336	yes	complemented
415	C₂×#551	C₂⁴	1	14336	yes	complemented
416	C₂×#548	C₂⁴	1	14336	yes	complemented
417	C₂×#547	C₂⁴	1	14336	yes	complemented
418	C₂×#547	C₂⁴	1	14336	yes	complemented
419	C₂×#546	C₂⁴	1	14336	yes	complemented
420	C₂×#546	C₂⁴	1	28672	yes	complemented
421	C₂×#546	C₂⁴	1	28672	yes	complemented
422	C₂×#546	C₂⁴	1	28672	yes	complemented
423	C₂×#546	C₂⁴	1	28672	yes	complemented
424	C₂×#546	C₂⁴	1	28672	yes	complemented
425	C₂×D₄²	C₂⁴	1	14336	yes	complemented
426	C₂×D₄²	C₂⁴	1	28672	yes	complemented
427	C₂×D₄²	C₂⁴	1	28672	yes	complemented
428	C₂×D₄²	C₂⁴	1	14336	yes	complemented
429	C₂×D₄²	C₂⁴	1	14336	yes	complemented
430	C₂×#542	C₂⁴	1	28672	yes	complemented
431	C₂×#540	C₂⁴	1	28672	yes	complemented
432	C₂×#539	C₂⁴	1	28672	yes	complemented
433	C₂×#539	C₂⁴	1	14336	yes	complemented
434	C₂×#538	C₂⁴	1	28672	yes	complemented
435	C₂×#538	C₂⁴	1	14336	yes	complemented
436	C₂×#538	C₂⁴	1	14336	yes	complemented
437	C₂×#538	C₂⁴	1	28672	yes	complemented
438	C₂×#538	C₂⁴	1	28672	yes	complemented
439	C₂×#538	C₂⁴	1	28672	yes	complemented
440	C₂×#538	C₂⁴	1	14336	yes	complemented
441	C₂×#538	C₂⁴	1	65536	yes	complemented
442	C₂×#537	C₂⁴	1	14336	yes	complemented
443	C₂×#535	C₂⁴	1	14336	yes	complemented
444	C₂×#535	C₂⁴	1	28672	yes	complemented
445	C₂×#534	C₂⁴	1	14336	yes	complemented
446	C₂×#534	C₂⁴	1	14336	yes	complemented
447	C₂×#534	C₂⁴	1	14336	yes	complemented
448	C₂×#534	C₂⁴	1	14336	yes	complemented
449	C₂×#534	C₂⁴	1	28672	yes	complemented
450	C₂×#534	C₂⁴	1	14336	yes	complemented
451	C₂×#534	C₂⁴	1	32768	yes	complemented
452	C₂×#532	C₂⁴	1	14336	yes	complemented
453	C₂²×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
454	C₂²×#127	C₂⁴	1	448	yes	—
455	C₂²×#127	C₂⁴	1	448	yes	—
456	C₂²×#127	C₂⁴	1	448	yes	complemented
457	C₂×#529	C₂⁴	1	14336	yes	complemented
458	C₂²×#126	C₂⁴	1	896	yes	complemented
459	C₂²×#126	C₂⁴	1	896	yes	complemented
460	C₂²×#126	C₂⁴	1	896	yes	complemented
461	C₂²×#126	C₂⁴	1	896	yes	complemented
462	C₂²×#126	C₂⁴	1	896	yes	complemented
463	C₂²×#126	C₂⁴	1	7168	yes	complemented
464	C₂²×#125	C₂⁴	1	448	yes	complemented
465	C₂²×#125	C₂⁴	1	896	yes	complemented
466	C₂²×#124	C₂⁴	1	448	yes	—
467	C₂²×#124	C₂⁴	1	448	yes	—
468	C₂²×#124	C₂⁴	1	896	yes	complemented
469	C₂²×#124	C₂⁴	1	896	yes	complemented
470	C₂²×#124	C₂⁴	1	448	yes	complemented
471	C₂²×#124	C₂⁴	1	896	yes	complemented
472	C₂²×#124	C₂⁴	1	896	yes	complemented
473	C₂²×#124	C₂⁴	1	7168	yes	complemented
474	C₂×#525	C₂⁴	1	14336	yes	complemented
475	C₂×#525	C₂⁴	1	14336	yes	complemented
476	C₂²×#123	C₂⁴	1	896	yes	—
477	C₂²×#123	C₂⁴	1	448	yes	—
478	C₂²×#123	C₂⁴	1	448	yes	—
479	C₂²×#123	C₂⁴	1	896	yes	—
480	C₂²×#123	C₂⁴	1	448	yes	—
481	C₂²×#123	C₂⁴	1	448	yes	—
482	C₂²×#123	C₂⁴	1	7168	yes	complemented
483	C₂²×#123	C₂⁴	1	896	yes	complemented
484	C₂²×#123	C₂⁴	1	896	yes	complemented
485	C₂²×#123	C₂⁴	1	896	yes	complemented
486	C₂²×#123	C₂⁴	1	896	yes	complemented
487	C₂²×#123	C₂⁴	1	896	yes	complemented
488	C₂²×#123	C₂⁴	1	896	yes	complemented
489	C₂²×#123	C₂⁴	1	896	yes	complemented
490	C₂²×#123	C₂⁴	1	896	yes	complemented
491	C₂²×#123	C₂⁴	1	7168	yes	complemented
492	C₂²×C₂²⋊Q₈	C₂⁴	1	448	yes	—
493	C₂²×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
494	C₂²×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
495	C₂²×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
496	C₂²×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
497	C₂²×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
498	C₂²×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
499	C₂²×C₂²⋊Q₈	C₂⁴	1	3584	yes	complemented
500	C₂²×#121	C₂⁴	1	448	yes	—
501	C₂²×#121	C₂⁴	1	448	yes	—
502	C₂²×#121	C₂⁴	1	448	yes	—
503	C₂²×#121	C₂⁴	1	448	yes	—
504	C₂²×#121	C₂⁴	1	448	yes	—
505	C₂²×#121	C₂⁴	1	896	yes	—
506	C₂²×#121	C₂⁴	1	896	yes	—
507	C₂²×#121	C₂⁴	1	896	yes	—
508	C₂²×#121	C₂⁴	1	896	yes	—
509	C₂²×#121	C₂⁴	1	7168	yes	complemented
510	C₂²×#121	C₂⁴	1	448	yes	complemented
511	C₂²×#121	C₂⁴	1	896	yes	complemented
512	C₂²×#121	C₂⁴	1	896	yes	complemented
513	C₂²×#121	C₂⁴	1	448	yes	complemented
514	C₂²×#121	C₂⁴	1	896	yes	complemented
515	C₂²×#121	C₂⁴	1	896	yes	complemented
516	C₂²×#121	C₂⁴	1	448	yes	complemented
517	C₂²×#121	C₂⁴	1	448	yes	complemented
518	C₂²×#121	C₂⁴	1	896	yes	complemented
519	C₂²×#121	C₂⁴	1	896	yes	complemented
520	C₂²×#121	C₂⁴	1	896	yes	complemented
521	C₂²×#121	C₂⁴	1	896	yes	complemented
522	C₂²×#121	C₂⁴	1	896	yes	complemented
523	C₂²×#121	C₂⁴	1	7168	yes	complemented
524	C₂²×#121	C₂⁴	1	3584	yes	complemented
525	C₂²×#121	C₂⁴	1	14336	yes	complemented
526	C₂²×#120	C₂⁴	1	896	yes	—
527	C₂²×#120	C₂⁴	1	896	yes	—
528	C₂²×#120	C₂⁴	1	448	yes	—
529	C₂²×#120	C₂⁴	1	448	yes	—
530	C₂²×#120	C₂⁴	1	896	yes	—
531	C₂²×#120	C₂⁴	1	896	yes	—
532	C₂²×#120	C₂⁴	1	448	yes	—
533	C₂²×#120	C₂⁴	1	448	yes	—
534	C₂²×#120	C₂⁴	1	7168	yes	complemented
535	C₂²×#120	C₂⁴	1	7168	yes	complemented
536	C₂²×#120	C₂⁴	1	896	yes	complemented
537	C₂²×#120	C₂⁴	1	896	yes	complemented
538	C₂²×#120	C₂⁴	1	896	yes	complemented
539	C₂²×#120	C₂⁴	1	896	yes	complemented
540	C₂²×#120	C₂⁴	1	896	yes	complemented
541	C₂²×#120	C₂⁴	1	14336	yes	complemented
542	C₂×#518	C₂⁴	1	7168	yes	complemented
543	C₂²×C₄×Q₈	C₂⁴	1	448	yes	complemented
544	C₂²×C₄×D₄	C₂⁴	1	448	yes	—
545	C₂²×C₄×D₄	C₂⁴	1	448	yes	—
546	C₂²×C₄×D₄	C₂⁴	1	448	yes	complemented
547	C₂²×C₄×D₄	C₂⁴	1	448	yes	complemented
548	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
549	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
550	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
551	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
552	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
553	C₂²×C₄×D₄	C₂⁴	1	448	yes	complemented
554	C₂²×C₄×D₄	C₂⁴	1	448	yes	complemented
555	C₂²×C₄×D₄	C₂⁴	1	448	yes	complemented
556	C₂²×C₄×D₄	C₂⁴	1	896	yes	complemented
557	C₂²×C₄×D₄	C₂⁴	1	7168	yes	complemented
558	C₂²×#117	C₂⁴	1	448	yes	—
559	C₂²×#117	C₂⁴	1	448	yes	complemented
560	C₂²×#117	C₂⁴	1	896	yes	complemented
561	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
562	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₂³×C₄⋊C₄	C₂⁴	1	224	yes	—
564	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
565	C₂³×C₄⋊C₄	C₂⁴	1	16	yes	—
566	C₂³×C₄⋊C₄	C₂⁴	1	16	yes	—
567	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
568	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
569	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
570	C₂³×C₄⋊C₄	C₂⁴	1	16	yes	—
571	C₂³×C₄⋊C₄	C₂⁴	1	16	yes	—
572	C₂³×C₄⋊C₄	C₂⁴	1	224	yes	complemented
573	C₂³×C₄⋊C₄	C₂⁴	1	224	yes	complemented
574	C₂³×C₄⋊C₄	C₂⁴	1	112	yes	complemented
575	C₂³×C₄⋊C₄	C₂⁴	1	448	yes	complemented
576	C₂³×C₄⋊C₄	C₂⁴	1	112	yes	complemented
577	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
578	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
579	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
580	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
581	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
582	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
583	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
584	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
585	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
586	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
587	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
588	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
589	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
590	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₂³×C₂²⋊C₄	C₂⁴	1	448	yes	—
593	C₂³×C₂²⋊C₄	C₂⁴	1	448	yes	—
594	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
595	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	—
596	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
597	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
598	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
599	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
600	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
601	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
602	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
603	C₂³×C₂²⋊C₄	C₂⁴	1	1792	yes	complemented
604	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	complemented
605	C₂³×C₂²⋊C₄	C₂⁴	1	896	yes	complemented
606	C₂³×C₂²⋊C₄	C₂⁴	1	224	yes	complemented
607	C₂³×C₂²⋊C₄	C₂⁴	1	896	yes	complemented
608	C₂³×C₄²	C₂⁴	1	8	yes	—
609	C₂³×C₄²	C₂⁴	1	8	yes	—
610	C₂³×C₄²	C₂⁴	1	8	yes	—
611	C₂³×C₄²	C₂⁴	1	8	yes	—
612	C₂³×C₄²	C₂⁴	1	224	yes	complemented
613	C₂⁶	—	2	32	no	—
614	C₂⁶	—	2	64	no	—
615	C₂⁶	—	2	64	no	—
616	C₂⁶	—	2	64	no	—
617	C₂⁶	—	2	896	no	—
618	C₂⁶	—	4	16	no	—
619	C₂⁶	—	4	32	no	—
620	C₂⁶	—	4	32	no	—
621	C₂⁶	—	4	64	no	—
622	C₂⁶	—	4	896	no	—
623	C₂⁶	—	4	32	no	—
624	C₂⁶	—	4	32	no	—
625	C₂⁶	—	4	32	no	—
626	C₂⁶	—	4	64	no	—
627	C₂⁶	—	4	128	no	—
628	C₂⁶	—	4	64	no	—
629	C₂⁶	—	4	128	no	—
630	C₂⁶	—	8	448	no	—
631	C₂⁶	—	8	896	no	—
632	C₂⁶	—	8	512	no	—
633	C₂⁶	—	8	1024	no	—
634	C₂⁶	H(5,𝔽₂)	1	32	yes	—
635	C₂⁶	C₂⁵	1	8	yes	—
636	C₂⁶	C₂⁵	1	8	yes	—
637	C₂⁶	C₂⁵	1	4	yes	—
638	C₂⁶	C₂⁵	1	2	yes	—
639	C₂⁶	C₂⁵	1	1	yes	characteristic
640	C₂⁶	C₂⁵	1	56	yes	—
641	C₂⁶	C₂⁵	1	112	yes	—
642	C₂⁶	C₂⁵	1	112	yes	—
643	C₂⁶	C₂⁵	1	112	yes	—
644	C₂⁶	C₂⁵	1	448	yes	—
645	C₂⁶	C₂⁵	1	224	yes	—
646	C₂⁶	C₂⁵	1	224	yes	—
647	C₂⁶	C₂⁵	1	28	yes	—
648	C₂⁶	C₂⁵	1	896	yes	—
649	C₂×H(5,𝔽₂)	—	4	57344	no	—
650	C₂×H(5,𝔽₂)	C₂⁵	1	16384	yes	complemented
651	C₂²×#41	—	4	3584	no	—
652	C₂²×#41	—	4	7168	no	—
653	C₂²×#41	—	8	1792	no	—
654	C₂²×#41	C₂⁵	1	3584	yes	—
655	C₂²×#41	C₂⁵	1	7168	yes	complemented
656	C₂²×#41	C₂⁵	1	3584	yes	complemented
657	C₂³×Q₈	—	4	64	no	—
658	C₂³×Q₈	—	4	64	no	—
659	C₂³×Q₈	—	8	448	no	—
660	C₂³×Q₈	C₂⁵	1	224	yes	—
661	C₂³×Q₈	C₂⁵	1	224	yes	—
662	C₂³×Q₈	C₂⁵	1	896	yes	complemented
663	C₂³×D₄	—	2	256	no	—
664	C₂³×D₄	—	2	128	no	—
665	C₂³×D₄	—	2	128	no	—
666	C₂³×D₄	—	2	3584	no	—
667	C₂³×D₄	—	2	3584	no	—
668	C₂³×D₄	—	4	64	no	—
669	C₂³×D₄	—	4	64	no	—
670	C₂³×D₄	—	4	1792	no	—
671	C₂³×D₄	—	4	64	no	—
672	C₂³×D₄	—	4	128	no	—
673	C₂³×D₄	—	4	128	no	—
674	C₂³×D₄	—	4	64	no	—
675	C₂³×D₄	—	4	128	no	—
676	C₂³×D₄	—	4	64	no	—
677	C₂³×D₄	—	4	128	no	—
678	C₂³×D₄	—	4	64	no	—
679	C₂³×D₄	—	4	128	no	—
680	C₂³×D₄	—	4	7168	no	—
681	C₂³×D₄	—	4	28672	no	—
682	C₂³×D₄	—	4	3584	no	—
683	C₂³×D₄	—	4	7168	no	—
684	C₂³×D₄	—	8	896	no	—
685	C₂³×D₄	—	8	896	no	—
686	C₂³×D₄	—	8	896	no	—
687	C₂³×D₄	—	8	448	no	—
688	C₂³×D₄	—	8	1792	no	—
689	C₂³×D₄	—	8	3584	no	—
690	C₂³×D₄	C₂⁵	1	448	yes	—
691	C₂³×D₄	C₂⁵	1	224	yes	—
692	C₂³×D₄	C₂⁵	1	224	yes	—
693	C₂³×D₄	C₂⁵	1	1792	yes	—
694	C₂³×D₄	C₂⁵	1	1792	yes	—
695	C₂³×D₄	C₂⁵	1	224	yes	—
696	C₂³×D₄	C₂⁵	1	224	yes	—
697	C₂³×D₄	C₂⁵	1	1792	yes	—
698	C₂³×D₄	C₂⁵	1	7168	yes	—
699	C₂³×D₄	C₂⁵	1	448	yes	—
700	C₂³×D₄	C₂⁵	1	224	yes	—
701	C₂³×D₄	C₂⁵	1	448	yes	—
702	C₂³×D₄	C₂⁵	1	448	yes	—
703	C₂³×D₄	C₂⁵	1	224	yes	—
704	C₂³×D₄	C₂⁵	1	3584	yes	—
705	C₂³×D₄	C₂⁵	1	224	yes	—
706	C₂³×D₄	C₂⁵	1	448	yes	—
707	C₂³×D₄	C₂⁵	1	224	yes	—
708	C₂³×D₄	C₂⁵	1	448	yes	—
709	C₂³×D₄	C₂⁵	1	1792	yes	—
710	C₂³×D₄	C₂⁵	1	1792	yes	—
711	C₂³×D₄	C₂⁵	1	1792	yes	—
712	C₂³×D₄	C₂⁵	1	8192	yes	complemented
713	C₂³×D₄	C₂⁵	1	7168	yes	complemented
714	C₂³×D₄	C₂⁵	1	7168	yes	complemented
715	C₂³×D₄	C₂⁵	1	896	yes	complemented
716	C₂³×D₄	C₂⁵	1	3584	yes	complemented
717	C₂⁴×C₄	—	2	64	no	—
718	C₂⁴×C₄	—	2	64	no	—
719	C₂⁴×C₄	—	4	64	no	—
720	C₂⁴×C₄	—	4	896	no	—
721	C₂⁴×C₄	—	4	32	no	—
722	C₂⁴×C₄	—	4	16	no	—
723	C₂⁴×C₄	—	4	32	no	—
724	C₂⁴×C₄	—	4	64	no	—
725	C₂⁴×C₄	—	4	32	no	—
726	C₂⁴×C₄	—	4	16	no	—
727	C₂⁴×C₄	—	4	64	no	—
728	C₂⁴×C₄	—	4	128	no	—
729	C₂⁴×C₄	—	4	64	no	—
730	C₂⁴×C₄	—	4	32	no	—
731	C₂⁴×C₄	—	4	128	no	—
732	C₂⁴×C₄	—	8	448	no	—
733	C₂⁴×C₄	—	8	896	no	—
734	C₂⁴×C₄	C₂⁵	1	112	yes	—
735	C₂⁴×C₄	C₂⁵	1	112	yes	—
736	C₂⁴×C₄	C₂⁵	1	8	yes	—
737	C₂⁴×C₄	C₂⁵	1	8	yes	—
738	C₂⁴×C₄	C₂⁵	1	4	yes	—
739	C₂⁴×C₄	C₂⁵	1	8	yes	—
740	C₂⁴×C₄	C₂⁵	1	4	yes	—
741	C₂⁴×C₄	C₂⁵	1	8	yes	—
742	C₂⁴×C₄	C₂⁵	1	112	yes	—
743	C₂⁴×C₄	C₂⁵	1	224	yes	—
744	C₂⁴×C₄	C₂⁵	1	112	yes	—
745	C₂⁴×C₄	C₂⁵	1	896	yes	—
746	C₂⁴×C₄	C₂⁵	1	56	yes	—
747	C₂⁴×C₄	C₂⁵	1	56	yes	—
748	C₂⁴×C₄	C₂⁵	1	112	yes	—
749	C₂⁴×C₄	C₂⁵	1	224	yes	—
750	C₂⁴×C₄	C₂⁵	1	224	yes	—
751	C₂⁴×C₄	C₂⁵	1	112	yes	—
752	C₂⁴×C₄	C₂⁵	1	224	yes	—
753	C₂⁴×C₄	C₂⁵	1	448	yes	—
754	C₂⁴×C₄	C₂⁵	1	448	yes	—
755	C₂⁴×C₄	C₂⁵	1	896	yes	—
756	C₂⁴×C₄	C₂⁵	1	1792	yes	complemented
757	#563	C₂⁵	1	32768	yes	complemented
758	#562	C₂⁵	1	65536	yes	complemented
759	H(3,𝔽₄)	C₂⁵	1	32768	yes	complemented
760	#560	C₂⁵	1	65536	yes	complemented
761	#560	C₂⁵	1	32768	yes	complemented
762	#560	C₂⁵	1	32768	yes	complemented
763	#559	C₂⁵	1	32768	yes	complemented
764	#553	C₂⁵	1	65536	yes	complemented
765	#553	C₂⁵	1	32768	yes	complemented
766	#553	C₂⁵	1	65536	yes	complemented
767	#552	C₂⁵	1	32768	yes	complemented
768	#551	C₂⁵	1	65536	yes	complemented
769	#551	C₂⁵	1	32768	yes	complemented
770	#551	C₂⁵	1	32768	yes	complemented
771	#548	C₂⁵	1	32768	yes	complemented
772	#547	C₂⁵	1	32768	yes	complemented
773	#547	C₂⁵	1	32768	yes	complemented
774	#546	C₂⁵	1	32768	yes	complemented
775	#546	C₂⁵	1	65536	yes	complemented
776	#546	C₂⁵	1	65536	yes	complemented
777	#546	C₂⁵	1	65536	yes	complemented
778	#546	C₂⁵	1	65536	yes	complemented
779	#546	C₂⁵	1	65536	yes	complemented
780	D₄²	C₂⁵	1	32768	yes	complemented
781	D₄²	C₂⁵	1	65536	yes	complemented
782	D₄²	C₂⁵	1	65536	yes	complemented
783	D₄²	C₂⁵	1	32768	yes	complemented
784	D₄²	C₂⁵	1	32768	yes	complemented
785	#542	C₂⁵	1	65536	yes	complemented
786	#540	C₂⁵	1	65536	yes	complemented
787	#539	C₂⁵	1	65536	yes	complemented
788	#539	C₂⁵	1	32768	yes	complemented
789	#538	C₂⁵	1	65536	yes	complemented
790	#538	C₂⁵	1	32768	yes	complemented
791	#538	C₂⁵	1	32768	yes	complemented
792	#538	C₂⁵	1	65536	yes	complemented
793	#538	C₂⁵	1	65536	yes	complemented
794	#538	C₂⁵	1	65536	yes	complemented
795	#538	C₂⁵	1	32768	yes	complemented
796	#537	C₂⁵	1	32768	yes	complemented
797	#535	C₂⁵	1	32768	yes	complemented
798	#535	C₂⁵	1	65536	yes	complemented
799	#534	C₂⁵	1	32768	yes	complemented
800	#534	C₂⁵	1	32768	yes	complemented
801	#534	C₂⁵	1	32768	yes	complemented
802	#534	C₂⁵	1	32768	yes	complemented
803	#534	C₂⁵	1	65536	yes	complemented
804	#534	C₂⁵	1	32768	yes	complemented
805	#532	C₂⁵	1	32768	yes	complemented
806	C₂×C₄⋊Q₈	C₂⁵	1	3584	yes	complemented
807	C₂×#127	C₂⁵	1	3584	yes	—
808	C₂×#127	C₂⁵	1	3584	yes	—
809	C₂×#127	C₂⁵	1	3584	yes	complemented
810	#529	C₂⁵	1	32768	yes	complemented
811	C₂×#126	C₂⁵	1	7168	yes	complemented
812	C₂×#126	C₂⁵	1	7168	yes	complemented
813	C₂×#126	C₂⁵	1	7168	yes	complemented
814	C₂×#126	C₂⁵	1	7168	yes	complemented
815	C₂×#126	C₂⁵	1	7168	yes	complemented
816	C₂×#126	C₂⁵	1	16384	yes	complemented
817	C₂×#125	C₂⁵	1	3584	yes	complemented
818	C₂×#125	C₂⁵	1	7168	yes	complemented
819	C₂×#124	C₂⁵	1	3584	yes	—
820	C₂×#124	C₂⁵	1	3584	yes	—
821	C₂×#124	C₂⁵	1	7168	yes	complemented
822	C₂×#124	C₂⁵	1	7168	yes	complemented
823	C₂×#124	C₂⁵	1	3584	yes	complemented
824	C₂×#124	C₂⁵	1	7168	yes	complemented
825	C₂×#124	C₂⁵	1	7168	yes	complemented
826	C₂×#124	C₂⁵	1	16384	yes	complemented
827	#525	C₂⁵	1	32768	yes	complemented
828	#525	C₂⁵	1	32768	yes	complemented
829	C₂×#123	C₂⁵	1	7168	yes	—
830	C₂×#123	C₂⁵	1	3584	yes	—
831	C₂×#123	C₂⁵	1	3584	yes	—
832	C₂×#123	C₂⁵	1	7168	yes	—
833	C₂×#123	C₂⁵	1	3584	yes	—
834	C₂×#123	C₂⁵	1	3584	yes	—
835	C₂×#123	C₂⁵	1	16384	yes	complemented
836	C₂×#123	C₂⁵	1	7168	yes	complemented
837	C₂×#123	C₂⁵	1	7168	yes	complemented
838	C₂×#123	C₂⁵	1	7168	yes	complemented
839	C₂×#123	C₂⁵	1	7168	yes	complemented
840	C₂×#123	C₂⁵	1	7168	yes	complemented
841	C₂×#123	C₂⁵	1	7168	yes	complemented
842	C₂×#123	C₂⁵	1	7168	yes	complemented
843	C₂×#123	C₂⁵	1	7168	yes	complemented
844	C₂×#123	C₂⁵	1	16384	yes	complemented
845	C₂×C₂²⋊Q₈	C₂⁵	1	3584	yes	—
846	C₂×C₂²⋊Q₈	C₂⁵	1	3584	yes	complemented
847	C₂×C₂²⋊Q₈	C₂⁵	1	3584	yes	complemented
848	C₂×C₂²⋊Q₈	C₂⁵	1	7168	yes	complemented
849	C₂×C₂²⋊Q₈	C₂⁵	1	7168	yes	complemented
850	C₂×C₂²⋊Q₈	C₂⁵	1	7168	yes	complemented
851	C₂×C₂²⋊Q₈	C₂⁵	1	7168	yes	complemented
852	C₂×C₂²⋊Q₈	C₂⁵	1	8192	yes	complemented
853	C₂×#121	C₂⁵	1	3584	yes	—
854	C₂×#121	C₂⁵	1	3584	yes	—
855	C₂×#121	C₂⁵	1	3584	yes	—
856	C₂×#121	C₂⁵	1	3584	yes	—
857	C₂×#121	C₂⁵	1	3584	yes	—
858	C₂×#121	C₂⁵	1	7168	yes	—
859	C₂×#121	C₂⁵	1	7168	yes	—
860	C₂×#121	C₂⁵	1	7168	yes	—
861	C₂×#121	C₂⁵	1	7168	yes	—
862	C₂×#121	C₂⁵	1	16384	yes	complemented
863	C₂×#121	C₂⁵	1	3584	yes	complemented
864	C₂×#121	C₂⁵	1	7168	yes	complemented
865	C₂×#121	C₂⁵	1	7168	yes	complemented
866	C₂×#121	C₂⁵	1	7168	yes	complemented
867	C₂×#121	C₂⁵	1	3584	yes	complemented
868	C₂×#121	C₂⁵	1	7168	yes	complemented
869	C₂×#121	C₂⁵	1	3584	yes	complemented
870	C₂×#121	C₂⁵	1	3584	yes	complemented
871	C₂×#121	C₂⁵	1	7168	yes	complemented
872	C₂×#121	C₂⁵	1	7168	yes	complemented
873	C₂×#121	C₂⁵	1	7168	yes	complemented
874	C₂×#121	C₂⁵	1	7168	yes	complemented
875	C₂×#121	C₂⁵	1	7168	yes	complemented
876	C₂×#121	C₂⁵	1	16384	yes	complemented
877	C₂×#121	C₂⁵	1	8192	yes	complemented
878	C₂×#121	C₂⁵	1	32768	yes	complemented
879	C₂×#120	C₂⁵	1	7168	yes	—
880	C₂×#120	C₂⁵	1	7168	yes	—
881	C₂×#120	C₂⁵	1	3584	yes	—
882	C₂×#120	C₂⁵	1	3584	yes	—
883	C₂×#120	C₂⁵	1	7168	yes	—
884	C₂×#120	C₂⁵	1	7168	yes	—
885	C₂×#120	C₂⁵	1	3584	yes	—
886	C₂×#120	C₂⁵	1	3584	yes	—
887	C₂×#120	C₂⁵	1	16384	yes	complemented
888	C₂×#120	C₂⁵	1	16384	yes	complemented
889	C₂×#120	C₂⁵	1	7168	yes	complemented
890	C₂×#120	C₂⁵	1	7168	yes	complemented
891	C₂×#120	C₂⁵	1	7168	yes	complemented
892	C₂×#120	C₂⁵	1	7168	yes	complemented
893	C₂×#120	C₂⁵	1	7168	yes	complemented
894	C₂×#120	C₂⁵	1	32768	yes	complemented
895	#518	C₂⁵	1	16384	yes	complemented
896	C₂×C₄×Q₈	C₂⁵	1	3584	yes	complemented
897	C₂×C₄×D₄	C₂⁵	1	3584	yes	—
898	C₂×C₄×D₄	C₂⁵	1	3584	yes	—
899	C₂×C₄×D₄	C₂⁵	1	3584	yes	complemented
900	C₂×C₄×D₄	C₂⁵	1	3584	yes	complemented
901	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
902	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
903	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
904	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
905	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
906	C₂×C₄×D₄	C₂⁵	1	3584	yes	complemented
907	C₂×C₄×D₄	C₂⁵	1	3584	yes	complemented
908	C₂×C₄×D₄	C₂⁵	1	3584	yes	complemented
909	C₂×C₄×D₄	C₂⁵	1	7168	yes	complemented
910	C₂×C₄×D₄	C₂⁵	1	16384	yes	complemented
911	C₂×#117	C₂⁵	1	3584	yes	—
912	C₂×#117	C₂⁵	1	3584	yes	complemented
913	C₂×#117	C₂⁵	1	7168	yes	complemented
914	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
915	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
916	C₂²×C₄⋊C₄	C₂⁵	1	1792	yes	—
917	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
918	C₂²×C₄⋊C₄	C₂⁵	1	448	yes	—
919	C₂²×C₄⋊C₄	C₂⁵	1	448	yes	—
920	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
921	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
922	C₂²×C₄⋊C₄	C₂⁵	1	224	yes	—
923	C₂²×C₄⋊C₄	C₂⁵	1	448	yes	—
924	C₂²×C₄⋊C₄	C₂⁵	1	448	yes	—
925	C₂²×C₄⋊C₄	C₂⁵	1	1792	yes	complemented
926	C₂²×C₄⋊C₄	C₂⁵	1	1792	yes	complemented
927	C₂²×C₄⋊C₄	C₂⁵	1	896	yes	complemented
928	C₂²×C₄⋊C₄	C₂⁵	1	3584	yes	complemented
929	C₂²×C₄⋊C₄	C₂⁵	1	896	yes	complemented
930	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
931	C₂²×C₂²⋊C₄	C₂⁵	1	112	yes	—
932	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
933	C₂²×C₂²⋊C₄	C₂⁵	1	112	yes	—
934	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
935	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
936	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
937	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
938	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
939	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
940	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
941	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
942	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
943	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
944	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
945	C₂²×C₂²⋊C₄	C₂⁵	1	3584	yes	—
946	C₂²×C₂²⋊C₄	C₂⁵	1	3584	yes	—
947	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
948	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	—
949	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
950	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
951	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
952	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
953	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
954	C₂²×C₂²⋊C₄	C₂⁵	1	224	yes	—
955	C₂²×C₂²⋊C₄	C₂⁵	1	448	yes	—
956	C₂²×C₂²⋊C₄	C₂⁵	1	4096	yes	complemented
957	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	complemented
958	C₂²×C₂²⋊C₄	C₂⁵	1	7168	yes	complemented
959	C₂²×C₂²⋊C₄	C₂⁵	1	1792	yes	complemented
960	C₂²×C₂²⋊C₄	C₂⁵	1	7168	yes	complemented
961	C₂²×C₄²	C₂⁵	1	224	yes	—
962	C₂²×C₄²	C₂⁵	1	224	yes	—
963	C₂²×C₄²	C₂⁵	1	224	yes	—
964	C₂²×C₄²	C₂⁵	1	224	yes	—
965	C₂²×C₄²	C₂⁵	1	1792	yes	complemented
966	C₂⁵	—	2	16	no	—
967	C₂⁵	—	2	16	no	—
968	C₂⁵	—	2	16	no	—
969	C₂⁵	—	2	64	no	—
970	C₂⁵	—	2	448	no	—
971	C₂⁵	—	2	32	no	—
972	C₂⁵	—	2	64	no	—
973	C₂⁵	—	2	64	no	—
974	C₂⁵	—	2	128	no	—
975	C₂⁵	—	2	64	no	—
976	C₂⁵	—	2	64	no	—
977	C₂⁵	—	2	896	no	—
978	C₂⁵	—	2	896	no	—
979	C₂⁵	—	2	896	no	—
980	C₂⁵	—	2	3584	no	—
981	C₂⁵	—	4	224	no	—
982	C₂⁵	—	4	448	no	—
983	C₂⁵	—	4	256	no	—
984	C₂⁵	—	4	448	no	—
985	C₂⁵	—	4	896	no	—
986	C₂⁵	—	4	3584	no	—
987	C₂⁵	—	4	448	no	—
988	C₂⁵	—	4	448	no	—
989	C₂⁵	—	4	448	no	—
990	C₂⁵	—	4	896	no	—
991	C₂⁵	—	4	1792	no	—
992	C₂⁵	—	4	896	no	—
993	C₂⁵	—	4	1792	no	—
994	C₂⁵	—	4	512	no	—
995	C₂⁵	—	8	512	no	—
996	C₂⁵	—	8	512	no	—
997	C₂⁵	—	8	512	no	—
998	C₂⁵	—	8	1792	no	—
999	C₂⁵	—	8	3584	no	—
1000	C₂⁵	—	8	7168	no	—
1001	C₂⁵	—	8	1024	no	—
1002	C₂⁵	—	8	14336	no	—
1003	C₂⁵	—	16	512	no	—
1004	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
1005	C₂⁵	C₂×H(5,𝔽₂)	1	32	yes	—
1006	C₂⁵	C₂×H(5,𝔽₂)	1	448	yes	—
1007	C₂⁵	C₂⁶	1	56	yes	—
1008	C₂⁵	C₂⁶	1	112	yes	—
1009	C₂⁵	C₂⁶	1	112	yes	—
1010	C₂⁵	C₂⁶	1	14	yes	—
1011	C₂⁵	C₂⁶	1	28	yes	—
1012	C₂⁵	C₂⁶	1	448	yes	—
1013	C₂⁵	C₂⁶	1	448	yes	—
1014	C₂⁵	C₂⁶	1	224	yes	—
1015	C₂⁵	C₂⁶	1	448	yes	—
1016	C₂⁵	C₂⁶	1	512	yes	—
1017	C₂⁵	C₂⁶	1	896	yes	—
1018	C₂⁵	C₂⁶	1	896	yes	—
1019	C₂⁵	C₂⁶	1	112	yes	—
1020	C₂⁵	C₂⁶	1	1024	yes	—
1021	C₂⁵	C₂⁶	1	1	yes	characteristic
1022	H(5,𝔽₂)	—	4	65536	no	—
1023	C₂×#41	—	4	14336	no	—
1024	C₂×#41	—	4	28672	no	—
1025	C₂×#41	—	8	7168	no	—
1026	C₂×#41	C₂⁶	1	4096	yes	—
1027	C₂×#41	C₂⁶	1	8192	yes	complemented
1028	C₂×#41	C₂⁶	1	4096	yes	complemented
1029	C₂²×Q₈	—	4	896	no	—
1030	C₂²×Q₈	—	4	896	no	—
1031	C₂²×Q₈	—	8	1792	no	—
1032	C₂²×Q₈	C₂⁶	1	896	yes	—
1033	C₂²×Q₈	C₂⁶	1	896	yes	—
1034	C₂²×Q₈	C₂⁶	1	1024	yes	complemented
1035	C₂²×D₄	—	2	3584	no	—
1036	C₂²×D₄	—	2	1792	no	—
1037	C₂²×D₄	—	2	1792	no	—
1038	C₂²×D₄	—	2	14336	no	—
1039	C₂²×D₄	—	2	14336	no	—
1040	C₂²×D₄	—	4	896	no	—
1041	C₂²×D₄	—	4	896	no	—
1042	C₂²×D₄	—	4	7168	no	—
1043	C₂²×D₄	—	4	896	no	—
1044	C₂²×D₄	—	4	1792	no	—
1045	C₂²×D₄	—	4	1792	no	—
1046	C₂²×D₄	—	4	896	no	—
1047	C₂²×D₄	—	4	1792	no	—
1048	C₂²×D₄	—	4	896	no	—
1049	C₂²×D₄	—	4	1792	no	—
1050	C₂²×D₄	—	4	896	no	—
1051	C₂²×D₄	—	4	1792	no	—
1052	C₂²×D₄	—	4	28672	no	—
1053	C₂²×D₄	—	4	32768	no	—
1054	C₂²×D₄	—	4	14336	no	—
1055	C₂²×D₄	—	4	28672	no	—
1056	C₂²×D₄	—	8	3584	no	—
1057	C₂²×D₄	—	8	3584	no	—
1058	C₂²×D₄	—	8	3584	no	—
1059	C₂²×D₄	—	8	1792	no	—
1060	C₂²×D₄	—	8	7168	no	—
1061	C₂²×D₄	—	8	14336	no	—
1062	C₂²×D₄	C₂⁶	1	896	yes	—
1063	C₂²×D₄	C₂⁶	1	896	yes	—
1064	C₂²×D₄	C₂⁶	1	2048	yes	—
1065	C₂²×D₄	C₂⁶	1	1792	yes	—
1066	C₂²×D₄	C₂⁶	1	2048	yes	—
1067	C₂²×D₄	C₂⁶	1	896	yes	—
1068	C₂²×D₄	C₂⁶	1	896	yes	—
1069	C₂²×D₄	C₂⁶	1	1792	yes	—
1070	C₂²×D₄	C₂⁶	1	1792	yes	—
1071	C₂²×D₄	C₂⁶	1	1792	yes	—
1072	C₂²×D₄	C₂⁶	1	1792	yes	—
1073	C₂²×D₄	C₂⁶	1	896	yes	—
1074	C₂²×D₄	C₂⁶	1	896	yes	—
1075	C₂²×D₄	C₂⁶	1	896	yes	—
1076	C₂²×D₄	C₂⁶	1	1792	yes	—
1077	C₂²×D₄	C₂⁶	1	896	yes	—
1078	C₂²×D₄	C₂⁶	1	2048	yes	—
1079	C₂²×D₄	C₂⁶	1	4096	yes	—
1080	C₂²×D₄	C₂⁶	1	8192	yes	—
1081	C₂²×D₄	C₂⁶	1	2048	yes	—
1082	C₂²×D₄	C₂⁶	1	2048	yes	—
1083	C₂²×D₄	C₂⁶	1	2048	yes	—
1084	C₂²×D₄	C₂⁶	1	8192	yes	complemented
1085	C₂²×D₄	C₂⁶	1	8192	yes	complemented
1086	C₂²×D₄	C₂⁶	1	1024	yes	complemented
1087	C₂²×D₄	C₂⁶	1	4096	yes	complemented
1088	C₂³×C₄	—	2	64	no	—
1089	C₂³×C₄	—	2	64	no	—
1090	C₂³×C₄	—	2	896	no	—
1091	C₂³×C₄	—	2	896	no	—
1092	C₂³×C₄	—	2	32	no	—
1093	C₂³×C₄	—	2	64	no	—
1094	C₂³×C₄	—	2	32	no	—
1095	C₂³×C₄	—	2	64	no	—
1096	C₂³×C₄	—	4	896	no	—
1097	C₂³×C₄	—	4	3584	no	—
1098	C₂³×C₄	—	4	448	no	—
1099	C₂³×C₄	—	4	224	no	—
1100	C₂³×C₄	—	4	448	no	—
1101	C₂³×C₄	—	4	896	no	—
1102	C₂³×C₄	—	4	448	no	—
1103	C₂³×C₄	—	4	224	no	—
1104	C₂³×C₄	—	4	896	no	—
1105	C₂³×C₄	—	4	1792	no	—
1106	C₂³×C₄	—	4	896	no	—
1107	C₂³×C₄	—	4	448	no	—
1108	C₂³×C₄	—	4	1792	no	—
1109	C₂³×C₄	—	8	1792	no	—
1110	C₂³×C₄	—	8	3584	no	—
1111	C₂³×C₄	C₂⁶	1	56	yes	—
1112	C₂³×C₄	C₂⁶	1	112	yes	—
1113	C₂³×C₄	C₂⁶	1	112	yes	—
1114	C₂³×C₄	C₂⁶	1	56	yes	—
1115	C₂³×C₄	C₂⁶	1	112	yes	—
1116	C₂³×C₄	C₂⁶	1	112	yes	—
1117	C₂³×C₄	C₂⁶	1	448	yes	—
1118	C₂³×C₄	C₂⁶	1	448	yes	—
1119	C₂³×C₄	C₂⁶	1	448	yes	—
1120	C₂³×C₄	C₂⁶	1	224	yes	—
1121	C₂³×C₄	C₂⁶	1	448	yes	—
1122	C₂³×C₄	C₂⁶	1	448	yes	—
1123	C₂³×C₄	C₂⁶	1	224	yes	—
1124	C₂³×C₄	C₂⁶	1	448	yes	—
1125	C₂³×C₄	C₂⁶	1	1792	yes	—
1126	C₂³×C₄	C₂⁶	1	896	yes	—
1127	C₂³×C₄	C₂⁶	1	896	yes	—
1128	C₂³×C₄	C₂⁶	1	1792	yes	—
1129	C₂³×C₄	C₂⁶	1	896	yes	—
1130	C₂³×C₄	C₂⁶	1	896	yes	—
1131	C₂³×C₄	C₂⁶	1	1024	yes	—
1132	C₂³×C₄	C₂⁶	1	1024	yes	—
1133	C₂³×C₄	C₂⁶	1	2048	yes	complemented
1134	C₄⋊Q₈	C₂⁶	1	4096	yes	complemented
1135	#127	C₂⁶	1	4096	yes	—
1136	#127	C₂⁶	1	4096	yes	—
1137	#127	C₂⁶	1	4096	yes	complemented
1138	#126	C₂⁶	1	8192	yes	complemented
1139	#126	C₂⁶	1	8192	yes	complemented
1140	#126	C₂⁶	1	8192	yes	complemented
1141	#126	C₂⁶	1	8192	yes	complemented
1142	#126	C₂⁶	1	8192	yes	complemented
1143	#125	C₂⁶	1	4096	yes	complemented
1144	#125	C₂⁶	1	8192	yes	complemented
1145	#124	C₂⁶	1	4096	yes	—
1146	#124	C₂⁶	1	4096	yes	—
1147	#124	C₂⁶	1	8192	yes	complemented
1148	#124	C₂⁶	1	8192	yes	complemented
1149	#124	C₂⁶	1	4096	yes	complemented
1150	#124	C₂⁶	1	8192	yes	complemented
1151	#124	C₂⁶	1	8192	yes	complemented
1152	#123	C₂⁶	1	8192	yes	—
1153	#123	C₂⁶	1	4096	yes	—
1154	#123	C₂⁶	1	4096	yes	—
1155	#123	C₂⁶	1	8192	yes	—
1156	#123	C₂⁶	1	4096	yes	—
1157	#123	C₂⁶	1	4096	yes	—
1158	#123	C₂⁶	1	8192	yes	complemented
1159	#123	C₂⁶	1	8192	yes	complemented
1160	#123	C₂⁶	1	8192	yes	complemented
1161	#123	C₂⁶	1	8192	yes	complemented
1162	#123	C₂⁶	1	8192	yes	complemented
1163	#123	C₂⁶	1	8192	yes	complemented
1164	#123	C₂⁶	1	8192	yes	complemented
1165	#123	C₂⁶	1	8192	yes	complemented
1166	C₂²⋊Q₈	C₂⁶	1	4096	yes	—
1167	C₂²⋊Q₈	C₂⁶	1	4096	yes	complemented
1168	C₂²⋊Q₈	C₂⁶	1	4096	yes	complemented
1169	C₂²⋊Q₈	C₂⁶	1	8192	yes	complemented
1170	C₂²⋊Q₈	C₂⁶	1	8192	yes	complemented
1171	C₂²⋊Q₈	C₂⁶	1	8192	yes	complemented
1172	C₂²⋊Q₈	C₂⁶	1	8192	yes	complemented
1173	#121	C₂⁶	1	4096	yes	—
1174	#121	C₂⁶	1	4096	yes	—
1175	#121	C₂⁶	1	4096	yes	—
1176	#121	C₂⁶	1	4096	yes	—
1177	#121	C₂⁶	1	4096	yes	—
1178	#121	C₂⁶	1	8192	yes	—
1179	#121	C₂⁶	1	8192	yes	—
1180	#121	C₂⁶	1	8192	yes	—
1181	#121	C₂⁶	1	8192	yes	—
1182	#121	C₂⁶	1	4096	yes	complemented
1183	#121	C₂⁶	1	8192	yes	complemented
1184	#121	C₂⁶	1	8192	yes	complemented
1185	#121	C₂⁶	1	8192	yes	complemented
1186	#121	C₂⁶	1	4096	yes	complemented
1187	#121	C₂⁶	1	8192	yes	complemented
1188	#121	C₂⁶	1	4096	yes	complemented
1189	#121	C₂⁶	1	4096	yes	complemented
1190	#121	C₂⁶	1	8192	yes	complemented
1191	#121	C₂⁶	1	8192	yes	complemented
1192	#121	C₂⁶	1	8192	yes	complemented
1193	#121	C₂⁶	1	8192	yes	complemented
1194	#121	C₂⁶	1	8192	yes	complemented
1195	#120	C₂⁶	1	8192	yes	—
1196	#120	C₂⁶	1	8192	yes	—
1197	#120	C₂⁶	1	4096	yes	—
1198	#120	C₂⁶	1	4096	yes	—
1199	#120	C₂⁶	1	8192	yes	—
1200	#120	C₂⁶	1	8192	yes	—
1201	#120	C₂⁶	1	4096	yes	—
1202	#120	C₂⁶	1	4096	yes	—
1203	#120	C₂⁶	1	8192	yes	complemented
1204	#120	C₂⁶	1	8192	yes	complemented
1205	#120	C₂⁶	1	8192	yes	complemented
1206	#120	C₂⁶	1	8192	yes	complemented
1207	#120	C₂⁶	1	8192	yes	complemented
1208	C₄×Q₈	C₂⁶	1	4096	yes	complemented
1209	C₄×D₄	C₂⁶	1	4096	yes	—
1210	C₄×D₄	C₂⁶	1	4096	yes	—
1211	C₄×D₄	C₂⁶	1	4096	yes	complemented
1212	C₄×D₄	C₂⁶	1	4096	yes	complemented
1213	C₄×D₄	C₂⁶	1	8192	yes	complemented
1214	C₄×D₄	C₂⁶	1	8192	yes	complemented
1215	C₄×D₄	C₂⁶	1	8192	yes	complemented
1216	C₄×D₄	C₂⁶	1	8192	yes	complemented
1217	C₄×D₄	C₂⁶	1	8192	yes	complemented
1218	C₄×D₄	C₂⁶	1	4096	yes	complemented
1219	C₄×D₄	C₂⁶	1	4096	yes	complemented
1220	C₄×D₄	C₂⁶	1	4096	yes	complemented
1221	C₄×D₄	C₂⁶	1	8192	yes	complemented
1222	#117	C₂⁶	1	4096	yes	—
1223	#117	C₂⁶	1	4096	yes	complemented
1224	#117	C₂⁶	1	8192	yes	complemented
1225	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1226	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1227	C₂×C₄⋊C₄	C₂⁶	1	2048	yes	—
1228	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1229	C₂×C₄⋊C₄	C₂⁶	1	1792	yes	—
1230	C₂×C₄⋊C₄	C₂⁶	1	1792	yes	—
1231	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1232	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1233	C₂×C₄⋊C₄	C₂⁶	1	896	yes	—
1234	C₂×C₄⋊C₄	C₂⁶	1	1792	yes	—
1235	C₂×C₄⋊C₄	C₂⁶	1	1792	yes	—
1236	C₂×C₄⋊C₄	C₂⁶	1	2048	yes	complemented
1237	C₂×C₄⋊C₄	C₂⁶	1	2048	yes	complemented
1238	C₂×C₄⋊C₄	C₂⁶	1	1024	yes	complemented
1239	C₂×C₄⋊C₄	C₂⁶	1	4096	yes	complemented
1240	C₂×C₄⋊C₄	C₂⁶	1	1024	yes	complemented
1241	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1242	C₂×C₂²⋊C₄	C₂⁶	1	448	yes	—
1243	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1244	C₂×C₂²⋊C₄	C₂⁶	1	448	yes	—
1245	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1246	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1247	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1248	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1249	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1250	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1251	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1252	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1253	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1254	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1255	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1256	C₂×C₂²⋊C₄	C₂⁶	1	4096	yes	—
1257	C₂×C₂²⋊C₄	C₂⁶	1	4096	yes	—
1258	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1259	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	—
1260	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1261	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1262	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1263	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1264	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1265	C₂×C₂²⋊C₄	C₂⁶	1	896	yes	—
1266	C₂×C₂²⋊C₄	C₂⁶	1	1792	yes	—
1267	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	complemented
1268	C₂×C₂²⋊C₄	C₂⁶	1	8192	yes	complemented
1269	C₂×C₂²⋊C₄	C₂⁶	1	2048	yes	complemented
1270	C₂×C₂²⋊C₄	C₂⁶	1	8192	yes	complemented
1271	C₂×C₄²	C₂⁶	1	896	yes	—
1272	C₂×C₄²	C₂⁶	1	896	yes	—
1273	C₂×C₄²	C₂⁶	1	896	yes	—
1274	C₂×C₄²	C₂⁶	1	896	yes	—
1275	C₂×C₄²	C₂⁶	1	2048	yes	complemented
1276	C₂⁴	—	2	112	no	—
1277	C₂⁴	—	2	112	no	—
1278	C₂⁴	—	2	112	no	—
1279	C₂⁴	—	2	128	no	—
1280	C₂⁴	—	2	256	no	—
1281	C₂⁴	—	2	448	no	—
1282	C₂⁴	—	2	896	no	—
1283	C₂⁴	—	2	224	no	—
1284	C₂⁴	—	2	448	no	—
1285	C₂⁴	—	2	448	no	—
1286	C₂⁴	—	2	896	no	—
1287	C₂⁴	—	2	448	no	—
1288	C₂⁴	—	2	448	no	—
1289	C₂⁴	—	2	1792	no	—
1290	C₂⁴	—	2	1792	no	—
1291	C₂⁴	—	2	1792	no	—
1292	C₂⁴	—	2	2048	no	—
1293	C₂⁴	—	4	448	no	—
1294	C₂⁴	—	4	896	no	—
1295	C₂⁴	—	4	1792	no	—
1296	C₂⁴	—	4	896	no	—
1297	C₂⁴	—	4	1792	no	—
1298	C₂⁴	—	4	2048	no	—
1299	C₂⁴	—	4	896	no	—
1300	C₂⁴	—	4	896	no	—
1301	C₂⁴	—	4	896	no	—
1302	C₂⁴	—	4	1792	no	—
1303	C₂⁴	—	4	3584	no	—
1304	C₂⁴	—	4	1792	no	—
1305	C₂⁴	—	4	3584	no	—
1306	C₂⁴	—	4	3584	no	—
1307	C₂⁴	—	4	256	no	—
1308	C₂⁴	—	4	512	no	—
1309	C₂⁴	—	4	512	no	—
1310	C₂⁴	—	8	3584	no	—
1311	C₂⁴	—	8	3584	no	—
1312	C₂⁴	—	8	3584	no	—
1313	C₂⁴	—	8	1024	no	—
1314	C₂⁴	—	8	2048	no	—
1315	C₂⁴	—	8	14336	no	—
1316	C₂⁴	—	8	7168	no	—
1317	C₂⁴	—	8	28672	no	—
1318	C₂⁴	—	16	3584	no	—
1319	C₂⁴	C₂²×H(5,𝔽₂)	1	112	yes	—
1320	C₂⁴	C₂²×H(5,𝔽₂)	1	224	yes	—
1321	C₂⁴	C₂²×H(5,𝔽₂)	1	896	yes	—
1322	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
1323	C₂⁴	H(7,𝔽₂)	1	16	yes	—
1324	C₂⁴	C₂⁷	1	112	yes	—
1325	C₂⁴	C₂⁷	1	224	yes	—
1326	C₂⁴	C₂⁷	1	224	yes	—
1327	C₂⁴	C₂⁷	1	28	yes	—
1328	C₂⁴	C₂⁷	1	56	yes	—
1329	C₂⁴	C₂⁷	1	256	yes	—
1330	C₂⁴	C₂⁷	1	256	yes	—
1331	C₂⁴	C₂⁷	1	128	yes	—
1332	C₂⁴	C₂⁷	1	256	yes	—
1333	C₂⁴	C₂⁷	1	512	yes	—
1334	C₂⁴	C₂⁷	1	512	yes	—
1335	C₂⁴	C₂⁷	1	64	yes	—
1336	C₂⁴	C₂⁷	1	7	yes	—
1337	#41	—	4	8192	no	—
1338	#41	—	4	16384	no	—
1339	#41	—	8	4096	no	—
1340	C₂×Q₈	—	4	1792	no	—
1341	C₂×Q₈	—	4	1792	no	—
1342	C₂×Q₈	—	8	1024	no	—
1343	C₂×Q₈	C₂⁷	1	512	yes	—
1344	C₂×Q₈	C₂⁷	1	512	yes	—
1345	C₂×D₄	—	2	7168	no	—
1346	C₂×D₄	—	2	3584	no	—
1347	C₂×D₄	—	2	3584	no	—
1348	C₂×D₄	—	2	8192	no	—
1349	C₂×D₄	—	2	8192	no	—
1350	C₂×D₄	—	4	1792	no	—
1351	C₂×D₄	—	4	1792	no	—
1352	C₂×D₄	—	4	4096	no	—
1353	C₂×D₄	—	4	1792	no	—
1354	C₂×D₄	—	4	3584	no	—
1355	C₂×D₄	—	4	3584	no	—
1356	C₂×D₄	—	4	1792	no	—
1357	C₂×D₄	—	4	3584	no	—
1358	C₂×D₄	—	4	1792	no	—
1359	C₂×D₄	—	4	3584	no	—
1360	C₂×D₄	—	4	1792	no	—
1361	C₂×D₄	—	4	3584	no	—
1362	C₂×D₄	—	4	16384	no	—
1363	C₂×D₄	—	4	8192	no	—
1364	C₂×D₄	—	4	16384	no	—
1365	C₂×D₄	—	8	2048	no	—
1366	C₂×D₄	—	8	2048	no	—
1367	C₂×D₄	—	8	2048	no	—
1368	C₂×D₄	—	8	1024	no	—
1369	C₂×D₄	—	8	4096	no	—
1370	C₂×D₄	—	8	8192	no	—
1371	C₂×D₄	C₂⁷	1	512	yes	—
1372	C₂×D₄	C₂⁷	1	512	yes	—
1373	C₂×D₄	C₂⁷	1	1024	yes	—
1374	C₂×D₄	C₂⁷	1	512	yes	—
1375	C₂×D₄	C₂⁷	1	512	yes	—
1376	C₂×D₄	C₂⁷	1	1024	yes	—
1377	C₂×D₄	C₂⁷	1	1024	yes	—
1378	C₂×D₄	C₂⁷	1	1024	yes	—
1379	C₂×D₄	C₂⁷	1	1024	yes	—
1380	C₂×D₄	C₂⁷	1	512	yes	—
1381	C₂×D₄	C₂⁷	1	512	yes	—
1382	C₂×D₄	C₂⁷	1	512	yes	—
1383	C₂×D₄	C₂⁷	1	1024	yes	—
1384	C₂×D₄	C₂⁷	1	512	yes	—
1385	C₂²×C₄	—	2	448	no	—
1386	C₂²×C₄	—	2	448	no	—
1387	C₂²×C₄	—	2	1792	no	—
1388	C₂²×C₄	—	2	1792	no	—
1389	C₂²×C₄	—	2	224	no	—
1390	C₂²×C₄	—	2	448	no	—
1391	C₂²×C₄	—	2	224	no	—
1392	C₂²×C₄	—	2	448	no	—
1393	C₂²×C₄	—	4	1792	no	—
1394	C₂²×C₄	—	4	2048	no	—
1395	C₂²×C₄	—	4	896	no	—
1396	C₂²×C₄	—	4	448	no	—
1397	C₂²×C₄	—	4	896	no	—
1398	C₂²×C₄	—	4	1792	no	—
1399	C₂²×C₄	—	4	896	no	—
1400	C₂²×C₄	—	4	448	no	—
1401	C₂²×C₄	—	4	1792	no	—
1402	C₂²×C₄	—	4	3584	no	—
1403	C₂²×C₄	—	4	1792	no	—
1404	C₂²×C₄	—	4	896	no	—
1405	C₂²×C₄	—	4	3584	no	—
1406	C₂²×C₄	—	8	1024	no	—
1407	C₂²×C₄	—	8	2048	no	—
1408	C₂²×C₄	C₂⁷	1	224	yes	—
1409	C₂²×C₄	C₂⁷	1	112	yes	—
1410	C₂²×C₄	C₂⁷	1	224	yes	—
1411	C₂²×C₄	C₂⁷	1	112	yes	—
1412	C₂²×C₄	C₂⁷	1	224	yes	—
1413	C₂²×C₄	C₂⁷	1	224	yes	—
1414	C₂²×C₄	C₂⁷	1	256	yes	—
1415	C₂²×C₄	C₂⁷	1	256	yes	—
1416	C₂²×C₄	C₂⁷	1	256	yes	—
1417	C₂²×C₄	C₂⁷	1	256	yes	—
1418	C₂²×C₄	C₂⁷	1	256	yes	—
1419	C₂²×C₄	C₂⁷	1	128	yes	—
1420	C₂²×C₄	C₂⁷	1	128	yes	—
1421	C₂²×C₄	C₂⁷	1	256	yes	—
1422	C₂²×C₄	C₂⁷	1	1024	yes	—
1423	C₂²×C₄	C₂⁷	1	512	yes	—
1424	C₂²×C₄	C₂⁷	1	512	yes	—
1425	C₂²×C₄	C₂⁷	1	1024	yes	—
1426	C₂²×C₄	C₂⁷	1	512	yes	—
1427	C₂²×C₄	C₂⁷	1	512	yes	—
1428	C₄⋊C₄	C₂⁷	1	512	yes	—
1429	C₄⋊C₄	C₂⁷	1	512	yes	—
1430	C₄⋊C₄	C₂⁷	1	512	yes	—
1431	C₄⋊C₄	C₂⁷	1	1024	yes	—
1432	C₄⋊C₄	C₂⁷	1	1024	yes	—
1433	C₄⋊C₄	C₂⁷	1	512	yes	—
1434	C₄⋊C₄	C₂⁷	1	512	yes	—
1435	C₄⋊C₄	C₂⁷	1	512	yes	—
1436	C₄⋊C₄	C₂⁷	1	1024	yes	—
1437	C₄⋊C₄	C₂⁷	1	1024	yes	—
1438	C₂²⋊C₄	C₂⁷	1	512	yes	—
1439	C₂²⋊C₄	C₂⁷	1	256	yes	—
1440	C₂²⋊C₄	C₂⁷	1	512	yes	—
1441	C₂²⋊C₄	C₂⁷	1	256	yes	—
1442	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1443	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1444	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1445	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1446	C₂²⋊C₄	C₂⁷	1	512	yes	—
1447	C₂²⋊C₄	C₂⁷	1	512	yes	—
1448	C₂²⋊C₄	C₂⁷	1	512	yes	—
1449	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1450	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1451	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1452	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1453	C₂²⋊C₄	C₂⁷	1	512	yes	—
1454	C₂²⋊C₄	C₂⁷	1	512	yes	—
1455	C₂²⋊C₄	C₂⁷	1	1024	yes	—
1456	C₄²	C₂⁷	1	512	yes	—
1457	C₄²	C₂⁷	1	512	yes	—
1458	C₄²	C₂⁷	1	512	yes	—
1459	C₄²	C₂⁷	1	512	yes	—
1460	C₂³	—	2	448	no	—
1461	C₂³	—	2	896	no	—
1462	C₂³	—	2	112	no	—
1463	C₂³	—	2	112	no	—
1464	C₂³	—	2	112	no	—
1465	C₂³	—	2	448	no	—
1466	C₂³	—	2	256	no	—
1467	C₂³	—	2	224	no	—
1468	C₂³	—	2	448	no	—
1469	C₂³	—	2	448	no	—
1470	C₂³	—	2	896	no	—
1471	C₂³	—	2	448	no	—
1472	C₂³	—	2	448	no	—
1473	C₂³	—	2	512	no	—
1474	C₂³	—	2	512	no	—
1475	C₂³	—	2	512	no	—
1476	C₂³	—	4	128	no	—
1477	C₂³	—	4	256	no	—
1478	C₂³	—	4	1792	no	—
1479	C₂³	—	4	256	no	—
1480	C₂³	—	4	512	no	—
1481	C₂³	—	4	256	no	—
1482	C₂³	—	4	256	no	—
1483	C₂³	—	4	256	no	—
1484	C₂³	—	4	512	no	—
1485	C₂³	—	4	1024	no	—
1486	C₂³	—	4	512	no	—
1487	C₂³	—	4	1024	no	—
1488	C₂³	—	4	3584	no	—
1489	C₂³	—	4	896	no	—
1490	C₂³	—	4	1792	no	—
1491	C₂³	—	4	1792	no	—
1492	C₂³	—	8	3584	no	—
1493	C₂³	—	8	3584	no	—
1494	C₂³	—	8	3584	no	—
1495	C₂³	—	8	4096	no	—
1496	C₂³	—	8	7168	no	—
1497	C₂³	—	8	8192	no	—
1498	C₂³	—	16	3584	no	—
1499	C₂³	#62863	1	64	yes	direct product factor
1500	C₂³	C₂³×H(5,𝔽₂)	1	112	yes	—
1501	C₂³	C₂³×H(5,𝔽₂)	1	224	yes	—
1502	C₂³	C₂³×H(5,𝔽₂)	1	256	yes	—
1503	C₂³	C₂³×H(5,𝔽₂)	1	28	yes	—
1504	C₂³	C₂×H(7,𝔽₂)	1	56	yes	—
1505	C₂³	C₂⁸	1	32	yes	—
1506	C₂³	C₂⁸	1	64	yes	—
1507	C₂³	C₂⁸	1	64	yes	—
1508	C₂³	C₂⁸	1	8	yes	—
1509	C₂³	C₂⁸	1	16	yes	—
1510	C₂³	C₂⁸	1	7	yes	—
1511	Q₈	—	4	512	no	—
1512	Q₈	—	4	512	no	—
1513	D₄	—	2	2048	no	—
1514	D₄	—	2	1024	no	—
1515	D₄	—	2	1024	no	—
1516	D₄	—	4	512	no	—
1517	D₄	—	4	512	no	—
1518	D₄	—	4	512	no	—
1519	D₄	—	4	1024	no	—
1520	D₄	—	4	1024	no	—
1521	D₄	—	4	512	no	—
1522	D₄	—	4	1024	no	—
1523	D₄	—	4	512	no	—
1524	D₄	—	4	1024	no	—
1525	D₄	—	4	512	no	—
1526	D₄	—	4	1024	no	—
1527	C₂×C₄	—	2	448	no	—
1528	C₂×C₄	—	2	448	no	—
1529	C₂×C₄	—	2	512	no	—
1530	C₂×C₄	—	2	512	no	—
1531	C₂×C₄	—	2	224	no	—
1532	C₂×C₄	—	2	448	no	—
1533	C₂×C₄	—	2	224	no	—
1534	C₂×C₄	—	2	448	no	—
1535	C₂×C₄	—	4	512	no	—
1536	C₂×C₄	—	4	256	no	—
1537	C₂×C₄	—	4	128	no	—
1538	C₂×C₄	—	4	256	no	—
1539	C₂×C₄	—	4	512	no	—
1540	C₂×C₄	—	4	256	no	—
1541	C₂×C₄	—	4	128	no	—
1542	C₂×C₄	—	4	512	no	—
1543	C₂×C₄	—	4	1024	no	—
1544	C₂×C₄	—	4	512	no	—
1545	C₂×C₄	—	4	256	no	—
1546	C₂×C₄	—	4	1024	no	—
1547	C₂×C₄	C₂⁸	1	64	yes	—
1548	C₂×C₄	C₂⁸	1	32	yes	—
1549	C₂×C₄	C₂⁸	1	32	yes	—
1550	C₂×C₄	C₂⁸	1	64	yes	—
1551	C₂×C₄	C₂⁸	1	64	yes	—
1552	C₂×C₄	C₂⁸	1	64	yes	—
1553	C₂²	—	2	224	no	—
1554	C₂²	—	2	448	no	—
1555	C₂²	—	2	16	no	—
1556	C₂²	—	2	16	no	—
1557	C₂²	—	2	16	no	—
1558	C₂²	—	2	64	no	—
1559	C₂²	—	2	32	no	—
1560	C₂²	—	2	64	no	—
1561	C₂²	—	2	64	no	—
1562	C₂²	—	2	128	no	—
1563	C₂²	—	2	64	no	—
1564	C₂²	—	2	64	no	—
1565	C₂²	—	4	256	no	—
1566	C₂²	—	4	512	no	—
1567	C₂²	—	4	448	no	—
1568	C₂²	—	4	896	no	—
1569	C₂²	—	4	896	no	—
1570	C₂²	—	8	512	no	—
1571	C₂²	—	8	512	no	—
1572	C₂²	—	8	512	no	—
1573	C₂²	—	8	1024	no	—
1574	C₂²	—	16	512	no	—
1575	C₂²	C₂×#62863	1	112	yes	direct product factor
1576	C₂²	C₂⁴×H(5,𝔽₂)	1	16	yes	—
1577	C₂²	C₂⁴×H(5,𝔽₂)	1	32	yes	—
1578	C₂²	C₂⁴×H(5,𝔽₂)	1	14	yes	—
1579	C₂²	C₂²×H(7,𝔽₂)	1	28	yes	—
1580	C₂²	C₂⁹	1	1	yes	characteristic
1581	C₄	—	2	64	no	—
1582	C₄	—	2	64	no	—
1583	C₄	—	2	32	no	—
1584	C₄	—	2	64	no	—
1585	C₄	—	2	32	no	—
1586	C₄	—	2	64	no	—
1587	C₂	—	2	16	no	—
1588	C₂	—	2	32	no	—
1589	C₂	—	4	32	no	—
1590	C₂	—	4	64	no	—
1591	C₂	—	4	64	no	—
1592	C₂	C₂²×#62863	1	28	yes	direct product factor
1593	C₂	C₂³×H(7,𝔽₂)	1	2	yes	—
1594	C₂	C₂⁵×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁵	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁹
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂³×#3560	C₂	semidirect
2. C₂³×#3533	C₂	semidirect
3. C₂⁴×#538	C₂	semidirect
4. C₂³×#3505	C₂	semidirect
5. C₂³×#3558	C₂	semidirect
6. C₂³×#3534	C₂	semidirect
7. C₂⁴×#534	C₂	semidirect
8. C₂³×#3496	C₂	semidirect
9. C₂³×#3532	C₂	semidirect
10. C₂²×#62863	C₂	direct (N × H)
11. C₂³×#3537	C₂	semidirect
12. C₂³×#3484	C₂	semidirect
13. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
14. C₂⁶×D₄	C₂²	semidirect
15. C₂×#62863	C₂²	direct (N × H)
16. C₂²×#3560	C₂²	semidirect
17. C₂²×#3558	C₂²	semidirect
18. C₂²×#3533	C₂²	semidirect
19. C₂²×#3537	C₂²	semidirect
20. C₂²×#3534	C₂²	semidirect
21. C₂²×#3532	C₂²	semidirect
22. C₂³×#563	C₂²	semidirect
23. C₂³×#562	C₂²	semidirect
24. C₂³×H(3,𝔽₄)	C₂²	semidirect
25. C₂³×#560	C₂²	semidirect
26. C₂³×#560	C₂²	semidirect
27. C₂³×#560	C₂²	semidirect
28. C₂²×#3505	C₂²	semidirect
29. C₂²×#3496	C₂²	semidirect
30. C₂²×#3484	C₂²	semidirect
31. C₂³×#559	C₂²	semidirect
32. C₂³×#553	C₂²	semidirect
33. C₂³×#553	C₂²	semidirect
34. C₂³×#553	C₂²	semidirect
35. C₂³×#552	C₂²	semidirect
36. C₂³×#551	C₂²	semidirect
37. C₂³×#551	C₂²	semidirect
38. C₂³×#551	C₂²	semidirect
39. C₂³×#547	C₂²	semidirect
40. C₂³×#547	C₂²	semidirect
41. C₂³×#548	C₂²	semidirect
42. C₂³×#546	C₂²	semidirect
43. C₂³×#546	C₂²	semidirect
44. C₂³×#546	C₂²	semidirect
45. C₂³×#546	C₂²	semidirect
46. C₂³×#546	C₂²	semidirect
47. C₂³×#546	C₂²	semidirect
48. C₂³×D₄²	C₂²	semidirect
49. C₂³×D₄²	C₂²	semidirect
50. C₂³×D₄²	C₂²	semidirect
51. C₂³×D₄²	C₂²	semidirect
52. C₂³×D₄²	C₂²	semidirect
53. C₂³×#542	C₂²	semidirect
54. C₂³×#540	C₂²	semidirect
55. C₂³×#537	C₂²	semidirect
56. C₂³×#535	C₂²	semidirect
57. C₂³×#535	C₂²	semidirect
58. C₂³×#539	C₂²	semidirect
59. C₂³×#539	C₂²	semidirect
60. C₂³×#538	C₂²	semidirect
61. C₂³×#538	C₂²	semidirect
62. C₂³×#538	C₂²	semidirect
63. C₂³×#538	C₂²	semidirect
64. C₂³×#538	C₂²	semidirect
65. C₂³×#538	C₂²	semidirect
66. C₂³×#538	C₂²	semidirect
67. C₂³×#538	C₂²	semidirect
68. C₂³×#534	C₂²	semidirect
69. C₂³×#534	C₂²	semidirect
70. C₂³×#534	C₂²	semidirect
71. C₂³×#534	C₂²	semidirect
72. C₂³×#534	C₂²	semidirect
73. C₂³×#534	C₂²	semidirect
74. C₂³×#534	C₂²	semidirect
75. C₂³×#532	C₂²	semidirect
76. C₂³×#529	C₂²	semidirect
77. C₂⁴×#126	C₂²	semidirect
78. C₂⁴×#124	C₂²	semidirect
79. C₂³×#525	C₂²	semidirect
80. C₂³×#525	C₂²	semidirect
81. C₂⁴×#123	C₂²	semidirect
82. C₂⁴×#123	C₂²	semidirect
83. C₂⁴×C₂²⋊Q₈	C₂²	semidirect
84. C₂⁴×#121	C₂²	semidirect
85. C₂⁴×#121	C₂²	semidirect
86. C₂⁴×#121	C₂²	semidirect
87. C₂⁴×#121	C₂²	semidirect
88. C₂⁴×#120	C₂²	semidirect
89. C₂⁴×#120	C₂²	semidirect
90. C₂⁴×#120	C₂²	semidirect
91. C₂³×#518	C₂²	semidirect
92. C₂⁴×C₄×D₄	C₂²	semidirect
93. C₂⁵×C₂²⋊C₄	C₂²	semidirect
97. C₂³×H(5,𝔽₂)	C₂³	semidirect
99. C₂⁴×#41	C₂³	semidirect
100. C₂⁴×#41	C₂³	semidirect
101. C₂⁵×Q₈	C₂³	semidirect
111. C₂⁵×D₄	C₂³	semidirect
112. C₂⁵×D₄	C₂³	semidirect
113. C₂⁵×D₄	C₂³	semidirect
114. C₂⁵×D₄	C₂³	semidirect
115. C₂⁵×D₄	C₂³	semidirect
118. C₂⁶×C₄	C₂³	semidirect
119. #62863	C₂³	direct (N × H)
120. C₂×#3505	C₂³	semidirect
121. C₂×#3496	C₂³	semidirect
122. C₂×#3484	C₂³	semidirect
123. C₂×#3560	C₂³	semidirect
124. C₂×#3558	C₂³	semidirect
125. C₂×#3533	C₂³	semidirect
126. C₂×#3537	C₂³	semidirect
127. C₂×#3534	C₂³	semidirect
128. C₂×#3532	C₂³	semidirect
129. C₂²×#559	C₂³	semidirect
130. C₂²×#553	C₂³	semidirect
131. C₂²×#553	C₂³	semidirect
132. C₂²×#553	C₂³	semidirect
133. C₂²×#552	C₂³	semidirect
134. C₂²×#551	C₂³	semidirect
135. C₂²×#551	C₂³	semidirect
136. C₂²×#551	C₂³	semidirect
137. C₂²×#547	C₂³	semidirect
138. C₂²×#547	C₂³	semidirect
139. C₂²×#548	C₂³	semidirect
140. C₂²×#546	C₂³	semidirect
141. C₂²×#546	C₂³	semidirect
142. C₂²×#546	C₂³	semidirect
143. C₂²×#546	C₂³	semidirect
144. C₂²×#546	C₂³	semidirect
145. C₂²×#546	C₂³	semidirect
146. C₂²×D₄²	C₂³	semidirect
147. C₂²×D₄²	C₂³	semidirect
148. C₂²×D₄²	C₂³	semidirect
149. C₂²×D₄²	C₂³	semidirect
150. C₂²×D₄²	C₂³	semidirect
151. C₂²×#563	C₂³	semidirect
152. C₂²×#562	C₂³	semidirect
153. C₂²×H(3,𝔽₄)	C₂³	semidirect
154. C₂²×#560	C₂³	semidirect
155. C₂²×#560	C₂³	semidirect
156. C₂²×#560	C₂³	semidirect
157. C₂²×#542	C₂³	semidirect
158. C₂²×#540	C₂³	semidirect
159. C₂²×#537	C₂³	semidirect
160. C₂²×#535	C₂³	semidirect
161. C₂²×#535	C₂³	semidirect
162. C₂²×#539	C₂³	semidirect
163. C₂²×#539	C₂³	semidirect
164. C₂²×#538	C₂³	semidirect
165. C₂²×#538	C₂³	semidirect
166. C₂²×#538	C₂³	semidirect
167. C₂²×#538	C₂³	semidirect
168. C₂²×#538	C₂³	semidirect
169. C₂²×#538	C₂³	semidirect
170. C₂²×#538	C₂³	semidirect
171. C₂²×#538	C₂³	semidirect
172. C₂²×#534	C₂³	semidirect
173. C₂²×#534	C₂³	semidirect
174. C₂²×#534	C₂³	semidirect
175. C₂²×#534	C₂³	semidirect
176. C₂²×#534	C₂³	semidirect
177. C₂²×#534	C₂³	semidirect
178. C₂²×#534	C₂³	semidirect
179. C₂²×#532	C₂³	semidirect
180. C₂³×C₄⋊Q₈	C₂³	semidirect
183. C₂³×#127	C₂³	semidirect
184. C₂²×#529	C₂³	semidirect
185. C₂³×#126	C₂³	semidirect
186. C₂³×#126	C₂³	semidirect
187. C₂³×#126	C₂³	semidirect
188. C₂³×#126	C₂³	semidirect
189. C₂³×#126	C₂³	semidirect
190. C₂³×#126	C₂³	semidirect
191. C₂³×#125	C₂³	semidirect
192. C₂³×#125	C₂³	semidirect
195. C₂³×#124	C₂³	semidirect
196. C₂³×#124	C₂³	semidirect
197. C₂³×#124	C₂³	semidirect
198. C₂³×#124	C₂³	semidirect
199. C₂³×#124	C₂³	semidirect
200. C₂³×#124	C₂³	semidirect
201. C₂²×#525	C₂³	semidirect
202. C₂²×#525	C₂³	semidirect
209. C₂³×#123	C₂³	semidirect
210. C₂³×#123	C₂³	semidirect
211. C₂³×#123	C₂³	semidirect
212. C₂³×#123	C₂³	semidirect
213. C₂³×#123	C₂³	semidirect
214. C₂³×#123	C₂³	semidirect
215. C₂³×#123	C₂³	semidirect
216. C₂³×#123	C₂³	semidirect
217. C₂³×#123	C₂³	semidirect
218. C₂³×#123	C₂³	semidirect
220. C₂³×C₂²⋊Q₈	C₂³	semidirect
221. C₂³×C₂²⋊Q₈	C₂³	semidirect
222. C₂³×C₂²⋊Q₈	C₂³	semidirect
223. C₂³×C₂²⋊Q₈	C₂³	semidirect
224. C₂³×C₂²⋊Q₈	C₂³	semidirect
225. C₂³×C₂²⋊Q₈	C₂³	semidirect
226. C₂³×C₂²⋊Q₈	C₂³	semidirect
236. C₂³×#121	C₂³	semidirect
237. C₂³×#121	C₂³	semidirect
238. C₂³×#121	C₂³	semidirect
239. C₂³×#121	C₂³	semidirect
240. C₂³×#121	C₂³	semidirect
241. C₂³×#121	C₂³	semidirect
242. C₂³×#121	C₂³	semidirect
243. C₂³×#121	C₂³	semidirect
244. C₂³×#121	C₂³	semidirect
245. C₂³×#121	C₂³	semidirect
246. C₂³×#121	C₂³	semidirect
247. C₂³×#121	C₂³	semidirect
248. C₂³×#121	C₂³	semidirect
249. C₂³×#121	C₂³	semidirect
250. C₂³×#121	C₂³	semidirect
251. C₂³×#121	C₂³	semidirect
252. C₂³×#121	C₂³	semidirect
261. C₂³×#120	C₂³	semidirect
262. C₂³×#120	C₂³	semidirect
263. C₂³×#120	C₂³	semidirect
264. C₂³×#120	C₂³	semidirect
265. C₂³×#120	C₂³	semidirect
266. C₂³×#120	C₂³	semidirect
267. C₂³×#120	C₂³	semidirect
268. C₂³×#120	C₂³	semidirect
269. C₂²×#518	C₂³	semidirect
270. C₂³×C₄×Q₈	C₂³	semidirect
273. C₂³×C₄×D₄	C₂³	semidirect
274. C₂³×C₄×D₄	C₂³	semidirect
275. C₂³×C₄×D₄	C₂³	semidirect
276. C₂³×C₄×D₄	C₂³	semidirect
277. C₂³×C₄×D₄	C₂³	semidirect
278. C₂³×C₄×D₄	C₂³	semidirect
279. C₂³×C₄×D₄	C₂³	semidirect
280. C₂³×C₄×D₄	C₂³	semidirect
281. C₂³×C₄×D₄	C₂³	semidirect
282. C₂³×C₄×D₄	C₂³	semidirect
283. C₂³×C₄×D₄	C₂³	semidirect
284. C₂³×C₄×D₄	C₂³	semidirect
286. C₂³×#117	C₂³	semidirect
287. C₂³×#117	C₂³	semidirect
289. C₂⁴×C₄⋊C₄	C₂³	semidirect
290. C₂⁴×C₄⋊C₄	C₂³	semidirect
291. C₂⁴×C₄⋊C₄	C₂³	semidirect
292. C₂⁴×C₄⋊C₄	C₂³	semidirect
293. C₂⁴×C₄⋊C₄	C₂³	semidirect
302. C₂⁴×C₂²⋊C₄	C₂³	semidirect
303. C₂⁴×C₂²⋊C₄	C₂³	semidirect
304. C₂⁴×C₂²⋊C₄	C₂³	semidirect
305. C₂⁴×C₂²⋊C₄	C₂³	semidirect
306. C₂⁴×C₂²⋊C₄	C₂³	semidirect
307. C₂⁴×C₄²	C₂³	semidirect
322. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
327. C₂³×#41	C₂⁴	semidirect
328. C₂³×#41	C₂⁴	semidirect
332. C₂⁴×Q₈	C₂⁴	semidirect
368. C₂⁴×D₄	C₂⁴	semidirect
369. C₂⁴×D₄	C₂⁴	semidirect
370. C₂⁴×D₄	C₂⁴	semidirect
371. C₂⁴×D₄	C₂⁴	semidirect
372. C₂⁴×D₄	C₂⁴	semidirect
392. C₂⁵×C₄	C₂⁴	semidirect
393. #3560	C₂⁴	semidirect
394. #3558	C₂⁴	semidirect
395. #3537	C₂⁴	semidirect
396. #3534	C₂⁴	semidirect
397. #3533	C₂⁴	semidirect
398. #3532	C₂⁴	semidirect
399. C₂×#563	C₂⁴	semidirect
400. C₂×#562	C₂⁴	semidirect
401. C₂×H(3,𝔽₄)	C₂⁴	semidirect
402. C₂×#560	C₂⁴	semidirect
403. C₂×#560	C₂⁴	semidirect
404. C₂×#560	C₂⁴	semidirect
405. #3505	C₂⁴	semidirect
406. #3496	C₂⁴	semidirect
407. #3484	C₂⁴	semidirect
408. C₂×#559	C₂⁴	semidirect
409. C₂×#553	C₂⁴	semidirect
410. C₂×#553	C₂⁴	semidirect
411. C₂×#553	C₂⁴	semidirect
412. C₂×#552	C₂⁴	semidirect
413. C₂×#551	C₂⁴	semidirect
414. C₂×#551	C₂⁴	semidirect
415. C₂×#551	C₂⁴	semidirect
416. C₂×#548	C₂⁴	semidirect
417. C₂×#547	C₂⁴	semidirect
418. C₂×#547	C₂⁴	semidirect
419. C₂×#546	C₂⁴	semidirect
420. C₂×#546	C₂⁴	semidirect
421. C₂×#546	C₂⁴	semidirect
422. C₂×#546	C₂⁴	semidirect
423. C₂×#546	C₂⁴	semidirect
424. C₂×#546	C₂⁴	semidirect
425. C₂×D₄²	C₂⁴	semidirect
426. C₂×D₄²	C₂⁴	semidirect
427. C₂×D₄²	C₂⁴	semidirect
428. C₂×D₄²	C₂⁴	semidirect
429. C₂×D₄²	C₂⁴	semidirect
430. C₂×#542	C₂⁴	semidirect
431. C₂×#540	C₂⁴	semidirect
432. C₂×#539	C₂⁴	semidirect
433. C₂×#539	C₂⁴	semidirect
434. C₂×#538	C₂⁴	semidirect
435. C₂×#538	C₂⁴	semidirect
436. C₂×#538	C₂⁴	semidirect
437. C₂×#538	C₂⁴	semidirect
438. C₂×#538	C₂⁴	semidirect
439. C₂×#538	C₂⁴	semidirect
440. C₂×#538	C₂⁴	semidirect
441. C₂×#538	C₂⁴	semidirect
442. C₂×#537	C₂⁴	semidirect
443. C₂×#535	C₂⁴	semidirect
444. C₂×#535	C₂⁴	semidirect
445. C₂×#534	C₂⁴	semidirect
446. C₂×#534	C₂⁴	semidirect
447. C₂×#534	C₂⁴	semidirect
448. C₂×#534	C₂⁴	semidirect
449. C₂×#534	C₂⁴	semidirect
450. C₂×#534	C₂⁴	semidirect
451. C₂×#534	C₂⁴	semidirect
452. C₂×#532	C₂⁴	semidirect
453. C₂²×C₄⋊Q₈	C₂⁴	semidirect
456. C₂²×#127	C₂⁴	semidirect
457. C₂×#529	C₂⁴	semidirect
458. C₂²×#126	C₂⁴	semidirect
459. C₂²×#126	C₂⁴	semidirect
460. C₂²×#126	C₂⁴	semidirect
461. C₂²×#126	C₂⁴	semidirect
462. C₂²×#126	C₂⁴	semidirect
463. C₂²×#126	C₂⁴	semidirect
464. C₂²×#125	C₂⁴	semidirect
465. C₂²×#125	C₂⁴	semidirect
468. C₂²×#124	C₂⁴	semidirect
469. C₂²×#124	C₂⁴	semidirect
470. C₂²×#124	C₂⁴	semidirect
471. C₂²×#124	C₂⁴	semidirect
472. C₂²×#124	C₂⁴	semidirect
473. C₂²×#124	C₂⁴	semidirect
474. C₂×#525	C₂⁴	semidirect
475. C₂×#525	C₂⁴	semidirect
482. C₂²×#123	C₂⁴	semidirect
483. C₂²×#123	C₂⁴	semidirect
484. C₂²×#123	C₂⁴	semidirect
485. C₂²×#123	C₂⁴	semidirect
486. C₂²×#123	C₂⁴	semidirect
487. C₂²×#123	C₂⁴	semidirect
488. C₂²×#123	C₂⁴	semidirect
489. C₂²×#123	C₂⁴	semidirect
490. C₂²×#123	C₂⁴	semidirect
491. C₂²×#123	C₂⁴	semidirect
493. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
494. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
495. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
496. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
497. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
498. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
499. C₂²×C₂²⋊Q₈	C₂⁴	semidirect
509. C₂²×#121	C₂⁴	semidirect
510. C₂²×#121	C₂⁴	semidirect
511. C₂²×#121	C₂⁴	semidirect
512. C₂²×#121	C₂⁴	semidirect
513. C₂²×#121	C₂⁴	semidirect
514. C₂²×#121	C₂⁴	semidirect
515. C₂²×#121	C₂⁴	semidirect
516. C₂²×#121	C₂⁴	semidirect
517. C₂²×#121	C₂⁴	semidirect
518. C₂²×#121	C₂⁴	semidirect
519. C₂²×#121	C₂⁴	semidirect
520. C₂²×#121	C₂⁴	semidirect
521. C₂²×#121	C₂⁴	semidirect
522. C₂²×#121	C₂⁴	semidirect
523. C₂²×#121	C₂⁴	semidirect
524. C₂²×#121	C₂⁴	semidirect
525. C₂²×#121	C₂⁴	semidirect
534. C₂²×#120	C₂⁴	semidirect
535. C₂²×#120	C₂⁴	semidirect
536. C₂²×#120	C₂⁴	semidirect
537. C₂²×#120	C₂⁴	semidirect
538. C₂²×#120	C₂⁴	semidirect
539. C₂²×#120	C₂⁴	semidirect
540. C₂²×#120	C₂⁴	semidirect
541. C₂²×#120	C₂⁴	semidirect
542. C₂×#518	C₂⁴	semidirect
543. C₂²×C₄×Q₈	C₂⁴	semidirect
546. C₂²×C₄×D₄	C₂⁴	semidirect
547. C₂²×C₄×D₄	C₂⁴	semidirect
548. C₂²×C₄×D₄	C₂⁴	semidirect
549. C₂²×C₄×D₄	C₂⁴	semidirect
550. C₂²×C₄×D₄	C₂⁴	semidirect
551. C₂²×C₄×D₄	C₂⁴	semidirect
552. C₂²×C₄×D₄	C₂⁴	semidirect
553. C₂²×C₄×D₄	C₂⁴	semidirect
554. C₂²×C₄×D₄	C₂⁴	semidirect
555. C₂²×C₄×D₄	C₂⁴	semidirect
556. C₂²×C₄×D₄	C₂⁴	semidirect
557. C₂²×C₄×D₄	C₂⁴	semidirect
559. C₂²×#117	C₂⁴	semidirect
560. C₂²×#117	C₂⁴	semidirect
572. C₂³×C₄⋊C₄	C₂⁴	semidirect
573. C₂³×C₄⋊C₄	C₂⁴	semidirect
574. C₂³×C₄⋊C₄	C₂⁴	semidirect
575. C₂³×C₄⋊C₄	C₂⁴	semidirect
576. C₂³×C₄⋊C₄	C₂⁴	semidirect
603. C₂³×C₂²⋊C₄	C₂⁴	semidirect
604. C₂³×C₂²⋊C₄	C₂⁴	semidirect
605. C₂³×C₂²⋊C₄	C₂⁴	semidirect
606. C₂³×C₂²⋊C₄	C₂⁴	semidirect
607. C₂³×C₂²⋊C₄	C₂⁴	semidirect
612. C₂³×C₄²	C₂⁴	semidirect
650. C₂×H(5,𝔽₂)	C₂⁵	semidirect
655. C₂²×#41	C₂⁵	semidirect
656. C₂²×#41	C₂⁵	semidirect
662. C₂³×Q₈	C₂⁵	semidirect
712. C₂³×D₄	C₂⁵	semidirect
713. C₂³×D₄	C₂⁵	semidirect
714. C₂³×D₄	C₂⁵	semidirect
715. C₂³×D₄	C₂⁵	semidirect
716. C₂³×D₄	C₂⁵	semidirect
756. C₂⁴×C₄	C₂⁵	semidirect
757. #563	C₂⁵	semidirect
758. #562	C₂⁵	semidirect
759. H(3,𝔽₄)	C₂⁵	semidirect
760. #560	C₂⁵	semidirect
761. #560	C₂⁵	semidirect
762. #560	C₂⁵	semidirect
763. #559	C₂⁵	semidirect
764. #553	C₂⁵	semidirect
765. #553	C₂⁵	semidirect
766. #553	C₂⁵	semidirect
767. #552	C₂⁵	semidirect
768. #551	C₂⁵	semidirect
769. #551	C₂⁵	semidirect
770. #551	C₂⁵	semidirect
771. #548	C₂⁵	semidirect
772. #547	C₂⁵	semidirect
773. #547	C₂⁵	semidirect
774. #546	C₂⁵	semidirect
775. #546	C₂⁵	semidirect
776. #546	C₂⁵	semidirect
777. #546	C₂⁵	semidirect
778. #546	C₂⁵	semidirect
779. #546	C₂⁵	semidirect
780. D₄²	C₂⁵	semidirect
781. D₄²	C₂⁵	semidirect
782. D₄²	C₂⁵	semidirect
783. D₄²	C₂⁵	semidirect
784. D₄²	C₂⁵	semidirect
785. #542	C₂⁵	semidirect
786. #540	C₂⁵	semidirect
787. #539	C₂⁵	semidirect
788. #539	C₂⁵	semidirect
789. #538	C₂⁵	semidirect
790. #538	C₂⁵	semidirect
791. #538	C₂⁵	semidirect
792. #538	C₂⁵	semidirect
793. #538	C₂⁵	semidirect
794. #538	C₂⁵	semidirect
795. #538	C₂⁵	semidirect
796. #537	C₂⁵	semidirect
797. #535	C₂⁵	semidirect
798. #535	C₂⁵	semidirect
799. #534	C₂⁵	semidirect
800. #534	C₂⁵	semidirect
801. #534	C₂⁵	semidirect
802. #534	C₂⁵	semidirect
803. #534	C₂⁵	semidirect
804. #534	C₂⁵	semidirect
805. #532	C₂⁵	semidirect
806. C₂×C₄⋊Q₈	C₂⁵	semidirect
809. C₂×#127	C₂⁵	semidirect
810. #529	C₂⁵	semidirect
811. C₂×#126	C₂⁵	semidirect
812. C₂×#126	C₂⁵	semidirect
813. C₂×#126	C₂⁵	semidirect
814. C₂×#126	C₂⁵	semidirect
815. C₂×#126	C₂⁵	semidirect
816. C₂×#126	C₂⁵	semidirect
817. C₂×#125	C₂⁵	semidirect
818. C₂×#125	C₂⁵	semidirect
821. C₂×#124	C₂⁵	semidirect
822. C₂×#124	C₂⁵	semidirect
823. C₂×#124	C₂⁵	semidirect
824. C₂×#124	C₂⁵	semidirect
825. C₂×#124	C₂⁵	semidirect
826. C₂×#124	C₂⁵	semidirect
827. #525	C₂⁵	semidirect
828. #525	C₂⁵	semidirect
835. C₂×#123	C₂⁵	semidirect
836. C₂×#123	C₂⁵	semidirect
837. C₂×#123	C₂⁵	semidirect
838. C₂×#123	C₂⁵	semidirect
839. C₂×#123	C₂⁵	semidirect
840. C₂×#123	C₂⁵	semidirect
841. C₂×#123	C₂⁵	semidirect
842. C₂×#123	C₂⁵	semidirect
843. C₂×#123	C₂⁵	semidirect
844. C₂×#123	C₂⁵	semidirect
846. C₂×C₂²⋊Q₈	C₂⁵	semidirect
847. C₂×C₂²⋊Q₈	C₂⁵	semidirect
848. C₂×C₂²⋊Q₈	C₂⁵	semidirect
849. C₂×C₂²⋊Q₈	C₂⁵	semidirect
850. C₂×C₂²⋊Q₈	C₂⁵	semidirect
851. C₂×C₂²⋊Q₈	C₂⁵	semidirect
852. C₂×C₂²⋊Q₈	C₂⁵	semidirect
862. C₂×#121	C₂⁵	semidirect
863. C₂×#121	C₂⁵	semidirect
864. C₂×#121	C₂⁵	semidirect
865. C₂×#121	C₂⁵	semidirect
866. C₂×#121	C₂⁵	semidirect
867. C₂×#121	C₂⁵	semidirect
868. C₂×#121	C₂⁵	semidirect
869. C₂×#121	C₂⁵	semidirect
870. C₂×#121	C₂⁵	semidirect
871. C₂×#121	C₂⁵	semidirect
872. C₂×#121	C₂⁵	semidirect
873. C₂×#121	C₂⁵	semidirect
874. C₂×#121	C₂⁵	semidirect
875. C₂×#121	C₂⁵	semidirect
876. C₂×#121	C₂⁵	semidirect
877. C₂×#121	C₂⁵	semidirect
878. C₂×#121	C₂⁵	semidirect
887. C₂×#120	C₂⁵	semidirect
888. C₂×#120	C₂⁵	semidirect
889. C₂×#120	C₂⁵	semidirect
890. C₂×#120	C₂⁵	semidirect
891. C₂×#120	C₂⁵	semidirect
892. C₂×#120	C₂⁵	semidirect
893. C₂×#120	C₂⁵	semidirect
894. C₂×#120	C₂⁵	semidirect
895. #518	C₂⁵	semidirect
896. C₂×C₄×Q₈	C₂⁵	semidirect
899. C₂×C₄×D₄	C₂⁵	semidirect
900. C₂×C₄×D₄	C₂⁵	semidirect
901. C₂×C₄×D₄	C₂⁵	semidirect
902. C₂×C₄×D₄	C₂⁵	semidirect
903. C₂×C₄×D₄	C₂⁵	semidirect
904. C₂×C₄×D₄	C₂⁵	semidirect
905. C₂×C₄×D₄	C₂⁵	semidirect
906. C₂×C₄×D₄	C₂⁵	semidirect
907. C₂×C₄×D₄	C₂⁵	semidirect
908. C₂×C₄×D₄	C₂⁵	semidirect
909. C₂×C₄×D₄	C₂⁵	semidirect
910. C₂×C₄×D₄	C₂⁵	semidirect
912. C₂×#117	C₂⁵	semidirect
913. C₂×#117	C₂⁵	semidirect
925. C₂²×C₄⋊C₄	C₂⁵	semidirect
926. C₂²×C₄⋊C₄	C₂⁵	semidirect
927. C₂²×C₄⋊C₄	C₂⁵	semidirect
928. C₂²×C₄⋊C₄	C₂⁵	semidirect
929. C₂²×C₄⋊C₄	C₂⁵	semidirect
956. C₂²×C₂²⋊C₄	C₂⁵	semidirect
957. C₂²×C₂²⋊C₄	C₂⁵	semidirect
958. C₂²×C₂²⋊C₄	C₂⁵	semidirect
959. C₂²×C₂²⋊C₄	C₂⁵	semidirect
960. C₂²×C₂²⋊C₄	C₂⁵	semidirect
965. C₂²×C₄²	C₂⁵	semidirect
1027. C₂×#41	C₂⁶	semidirect
1028. C₂×#41	C₂⁶	semidirect
1034. C₂²×Q₈	C₂⁶	semidirect
1084. C₂²×D₄	C₂⁶	semidirect
1085. C₂²×D₄	C₂⁶	semidirect
1086. C₂²×D₄	C₂⁶	semidirect
1087. C₂²×D₄	C₂⁶	semidirect
1133. C₂³×C₄	C₂⁶	semidirect
1134. C₄⋊Q₈	C₂⁶	semidirect
1137. #127	C₂⁶	semidirect
1138. #126	C₂⁶	semidirect
1139. #126	C₂⁶	semidirect
1140. #126	C₂⁶	semidirect
1141. #126	C₂⁶	semidirect
1142. #126	C₂⁶	semidirect
1143. #125	C₂⁶	semidirect
1144. #125	C₂⁶	semidirect
1147. #124	C₂⁶	semidirect
1148. #124	C₂⁶	semidirect
1149. #124	C₂⁶	semidirect
1150. #124	C₂⁶	semidirect
1151. #124	C₂⁶	semidirect
1158. #123	C₂⁶	semidirect
1159. #123	C₂⁶	semidirect
1160. #123	C₂⁶	semidirect
1161. #123	C₂⁶	semidirect
1162. #123	C₂⁶	semidirect
1163. #123	C₂⁶	semidirect
1164. #123	C₂⁶	semidirect
1165. #123	C₂⁶	semidirect
1167. C₂²⋊Q₈	C₂⁶	semidirect
1168. C₂²⋊Q₈	C₂⁶	semidirect
1169. C₂²⋊Q₈	C₂⁶	semidirect
1170. C₂²⋊Q₈	C₂⁶	semidirect
1171. C₂²⋊Q₈	C₂⁶	semidirect
1172. C₂²⋊Q₈	C₂⁶	semidirect
1182. #121	C₂⁶	semidirect
1183. #121	C₂⁶	semidirect
1184. #121	C₂⁶	semidirect
1185. #121	C₂⁶	semidirect
1186. #121	C₂⁶	semidirect
1187. #121	C₂⁶	semidirect
1188. #121	C₂⁶	semidirect
1189. #121	C₂⁶	semidirect
1190. #121	C₂⁶	semidirect
1191. #121	C₂⁶	semidirect
1192. #121	C₂⁶	semidirect
1193. #121	C₂⁶	semidirect
1194. #121	C₂⁶	semidirect
1203. #120	C₂⁶	semidirect
1204. #120	C₂⁶	semidirect
1205. #120	C₂⁶	semidirect
1206. #120	C₂⁶	semidirect
1207. #120	C₂⁶	semidirect
1208. C₄×Q₈	C₂⁶	semidirect
1211. C₄×D₄	C₂⁶	semidirect
1212. C₄×D₄	C₂⁶	semidirect
1213. C₄×D₄	C₂⁶	semidirect
1214. C₄×D₄	C₂⁶	semidirect
1215. C₄×D₄	C₂⁶	semidirect
1216. C₄×D₄	C₂⁶	semidirect
1217. C₄×D₄	C₂⁶	semidirect
1218. C₄×D₄	C₂⁶	semidirect
1219. C₄×D₄	C₂⁶	semidirect
1220. C₄×D₄	C₂⁶	semidirect
1221. C₄×D₄	C₂⁶	semidirect
1223. #117	C₂⁶	semidirect
1224. #117	C₂⁶	semidirect
1236. C₂×C₄⋊C₄	C₂⁶	semidirect
1237. C₂×C₄⋊C₄	C₂⁶	semidirect
1238. C₂×C₄⋊C₄	C₂⁶	semidirect
1239. C₂×C₄⋊C₄	C₂⁶	semidirect
1240. C₂×C₄⋊C₄	C₂⁶	semidirect
1267. C₂×C₂²⋊C₄	C₂⁶	semidirect
1268. C₂×C₂²⋊C₄	C₂⁶	semidirect
1269. C₂×C₂²⋊C₄	C₂⁶	semidirect
1270. C₂×C₂²⋊C₄	C₂⁶	semidirect
1275. C₂×C₄²	C₂⁶	semidirect
1499. C₂³	#62863	direct (N × H)
1575. C₂²	C₂×#62863	direct (N × H)
1592. C₂	C₂²×#62863	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#3560	2
C₂³×#3533	2
C₂⁴×#538	2
C₂³×#3505	2
C₂³×#3558	2
C₂³×#3534	2
C₂⁴×#534	2
C₂³×#3496	2
C₂³×#3532	2
C₂²×#62863	2
C₂³×#3537	2
C₂³×#3484	2

Subgroups — C23×#62863 #72325026

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#62863 #72325026