Subgroups — C₂²×#10580317 #72316109

Order 2048.

Only the 446248 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1384 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#60282	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#61697	C₂	1	2	yes	maximal, complemented
3	C₂²×#62128	C₂	1	8	yes	maximal, complemented
4	C₂²×#61979	C₂	1	8	yes	maximal, complemented
5	C₂²×#61825	C₂	1	2	yes	maximal, complemented
6	C₂²×#60958	C₂	1	4	yes	maximal, complemented
7	C₂²×#61707	C₂	1	4	yes	maximal, complemented
8	C₂²×#61569	C₂	1	4	yes	maximal, complemented
9	C₂²×#61891	C₂	1	2	yes	maximal, complemented
10	C₂²×#60561	C₂	1	2	yes	maximal, complemented
11	C₂²×#60968	C₂	1	2	yes	maximal, complemented
12	C₂³×#3481	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#62812	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂³×#3109	C₂	1	4	yes	maximal, complemented
15	C₂²×#61559	C₂	1	2	yes	maximal, complemented
16	C₂×#10580317	C₂	1	192	yes	maximal, direct product factor
17	C₂²×#61451	C₂	1	16	yes	maximal, complemented
18	C₂×#62812	C₂²	1	96	yes	complemented
19	C₂²×#3499	C₂²	1	4	yes	complemented
20	C₂²×#3498	C₂²	1	4	yes	complemented
21	C₂²×#3497	C₂²	1	2	yes	complemented
22	C₂²×#3496	C₂²	1	2	yes	—
23	C₂²×#3496	C₂²	1	4	yes	complemented
24	C₂²×#3481	C₂²	1	8	yes	complemented
25	C₂²×#3481	C₂²	1	8	yes	complemented
26	C₂²×#3481	C₂²	1	96	yes	complemented
27	C₂³×#559	C₂²	1	1	yes	characteristic, complemented
28	C₂³×#553	C₂²	1	2	yes	complemented
29	C₂³×#554	C₂²	1	1	yes	characteristic, complemented
30	C₂³×#554	C₂²	1	1	yes	characteristic, complemented
31	C₂²×D₄×#41	C₂²	1	8	yes	complemented
32	C₂³×#546	C₂²	1	2	yes	complemented
33	C₂³×D₄²	C₂²	1	1	yes	characteristic, complemented
34	C₂³×#532	C₂²	1	1	yes	characteristic, complemented
35	C₂³×#532	C₂²	1	4	yes	complemented
36	C₂³×#532	C₂²	1	2	yes	complemented
37	C₂³×#529	C₂²	1	2	yes	complemented
38	C₂³×C₄×#41	C₂²	1	1	yes	characteristic
39	C₂³×C₄×#41	C₂²	1	1	yes	characteristic, complemented
40	C₂⁴×C₄×D₄	C₂²	1	2	yes	complemented
41	#10580317	C₂²	1	4096	yes	direct product factor
42	C₂×#62128	C₂²	1	768	yes	complemented
43	C₂×#61979	C₂²	1	768	yes	complemented
44	C₂×#61891	C₂²	1	192	yes	complemented
45	C₂×#61825	C₂²	1	192	yes	complemented
46	C₂×#61707	C₂²	1	384	yes	complemented
47	C₂×#61697	C₂²	1	192	yes	complemented
48	C₂×#61569	C₂²	1	384	yes	complemented
49	C₂×#61559	C₂²	1	192	yes	complemented
50	C₂×#61451	C₂²	1	1536	yes	complemented
51	C₂²×#3399	C₂²	1	16	yes	complemented
52	C₂²×#3335	C₂²	1	16	yes	complemented
53	C₂²×#3345	C₂²	1	32	yes	complemented
54	C₂²×#3373	C₂²	1	16	yes	complemented
55	C₂²×#3366	C₂²	1	16	yes	complemented
56	C₂²×#3295	C₂²	1	16	yes	complemented
57	C₂²×#3294	C₂²	1	16	yes	complemented
58	C₂²×#3318	C₂²	1	32	yes	complemented
59	C₂²×#3306	C₂²	1	32	yes	complemented
60	C₂²×#3384	C₂²	1	16	yes	complemented
61	C₂²×#3264	C₂²	1	32	yes	complemented
62	C₂²×D₄×D₈	C₂²	1	16	yes	complemented
63	C₂×#60968	C₂²	1	192	yes	complemented
64	C₂×#60958	C₂²	1	384	yes	complemented
65	C₂²×#3238	C₂²	1	8	yes	complemented
66	C₂²×#3234	C₂²	1	8	yes	complemented
67	C₂²×#3227	C₂²	1	4	yes	complemented
68	C₂²×#3227	C₂²	1	4	yes	complemented
69	C₂²×#3253	C₂²	1	8	yes	complemented
70	C₂²×#3247	C₂²	1	16	yes	complemented
71	C₂²×#3217	C₂²	1	8	yes	complemented
72	C₂²×#3213	C₂²	1	8	yes	complemented
73	C₂²×#3205	C₂²	1	4	yes	complemented
74	C₂²×#3205	C₂²	1	4	yes	complemented
75	C₂²×#3192	C₂²	1	8	yes	complemented
76	C₂²×#3187	C₂²	1	8	yes	complemented
77	C₂²×#3186	C₂²	1	8	yes	complemented
78	C₂²×#3184	C₂²	1	8	yes	complemented
79	C₂²×#3180	C₂²	1	16	yes	complemented
80	C₂×#60561	C₂²	1	192	yes	complemented
81	C₂²×#3112	C₂²	1	4	yes	complemented
82	C₂²×#3109	C₂²	1	8	yes	complemented
83	C₂²×#3109	C₂²	1	4	yes	complemented
84	C₂²×#3109	C₂²	1	16	yes	complemented
85	C₂²×#3109	C₂²	1	16	yes	complemented
86	C₂²×#3109	C₂²	1	8	yes	complemented
87	C₂²×#3109	C₂²	1	8	yes	complemented
88	C₂²×#3109	C₂²	1	8	yes	complemented
89	C₂²×#3109	C₂²	1	384	yes	complemented
90	C₂²×#3115	C₂²	1	8	yes	complemented
91	C₂²×#3114	C₂²	1	16	yes	complemented
92	C₂²×#3106	C₂²	1	8	yes	complemented
93	C₂²×#3103	C₂²	1	4	yes	complemented
94	C₂²×#3100	C₂²	1	4	yes	complemented
95	C₂³×#481	C₂²	1	8	yes	complemented
96	C₂²×#3094	C₂²	1	4	yes	complemented
97	C₂²×#3079	C₂²	1	4	yes	complemented
98	C₂³×#476	C₂²	1	8	yes	complemented
99	C₂²×#3038	C₂²	1	4	yes	complemented
100	C₂³×#459	C₂²	1	8	yes	complemented
101	C₂²×#3006	C₂²	1	4	yes	complemented
102	C₂³×#447	C₂²	1	8	yes	complemented
103	C₂×#60282	C₂²	1	96	yes	complemented
104	C₂²×#2990	C₂²	1	8	yes	complemented
105	C₂²×#2983	C₂²	1	2	yes	complemented
106	C₂²×#2973	C₂²	1	4	yes	complemented
107	C₂²×#2972	C₂²	1	2	yes	complemented
108	C₂²×#2970	C₂²	1	8	yes	complemented
109	C₂²×C₄×AGL(1,ℤ/8)	C₂²	1	8	yes	complemented
110	C₂³×#442	C₂²	1	16	yes	complemented
111	C₂²×#2920	C₂²	1	2	yes	complemented
112	C₂³×#432	C₂²	1	4	yes	complemented
113	C₂⁴×#41	D₄	1	1	yes	characteristic
114	C₂⁴×#41	C₂³	1	1	yes	characteristic
115	C₂⁵×D₄	C₂³	1	2	yes	—
116	C₂³×AGL(1,ℤ/8)	C₂³	1	8	yes	—
117	C₂⁴×D₈	C₂³	1	16	yes	—
118	#62812	C₂³	1	1024	yes	complemented
119	C₂×#3499	C₂³	1	192	yes	complemented
120	C₂×#3498	C₂³	1	192	yes	complemented
121	C₂×#3497	C₂³	1	96	yes	complemented
122	C₂×#3496	C₂³	1	96	yes	—
123	C₂×#3496	C₂³	1	192	yes	complemented
124	C₂×#3481	C₂³	1	384	yes	complemented
125	C₂×#3481	C₂³	1	384	yes	complemented
126	C₂×#3481	C₂³	1	1024	yes	complemented
127	C₂²×#559	C₂³	1	8	yes	—
128	C₂²×#559	C₂³	1	48	yes	complemented
129	C₂²×#553	C₂³	1	16	yes	—
130	C₂²×#553	C₂³	1	96	yes	complemented
131	C₂²×#554	C₂³	1	8	yes	—
132	C₂²×#554	C₂³	1	8	yes	—
133	C₂²×#554	C₂³	1	48	yes	complemented
134	C₂²×#554	C₂³	1	48	yes	complemented
135	C₂×D₄×#41	C₂³	1	384	yes	complemented
136	C₂²×#550	C₂³	1	8	yes	complemented
137	C₂²×#547	C₂³	1	8	yes	—
138	C₂²×#547	C₂³	1	16	yes	complemented
139	C₂²×#546	C₂³	1	16	yes	—
140	C₂²×#546	C₂³	1	96	yes	complemented
141	C₂²×D₄×Q₈	C₂³	1	8	yes	complemented
142	C₂²×D₄²	C₂³	1	8	yes	—
143	C₂²×D₄²	C₂³	1	8	yes	—
144	C₂²×D₄²	C₂³	1	48	yes	complemented
145	C₂²×D₄²	C₂³	1	16	yes	complemented
146	C₂²×#532	C₂³	1	4	yes	—
147	C₂²×#532	C₂³	1	4	yes	—
148	C₂²×#532	C₂³	1	4	yes	—
149	C₂²×#532	C₂³	1	8	yes	—
150	C₂²×#532	C₂³	1	4	yes	—
151	C₂²×#532	C₂³	1	48	yes	complemented
152	C₂²×#532	C₂³	1	8	yes	complemented
153	C₂²×#532	C₂³	1	4	yes	complemented
154	C₂²×#532	C₂³	1	4	yes	complemented
155	C₂²×#532	C₂³	1	8	yes	complemented
156	C₂²×#532	C₂³	1	192	yes	complemented
157	C₂²×#532	C₂³	1	96	yes	complemented
158	C₂³×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₂³×C₄⋊Q₈	C₂³	1	2	yes	complemented
160	C₂³×C₄⋊Q₈	C₂³	1	4	yes	complemented
161	C₂³×#127	C₂³	1	1	yes	characteristic
162	C₂³×#127	C₂³	1	4	yes	complemented
163	C₂³×#127	C₂³	1	2	yes	complemented
164	C₂²×#529	C₂³	1	8	yes	—
165	C₂²×#529	C₂³	1	8	yes	—
166	C₂²×#529	C₂³	1	96	yes	complemented
167	C₂³×#125	C₂³	1	2	yes	—
168	C₂³×#124	C₂³	1	2	yes	—
169	C₂³×C₂²⋊Q₈	C₂³	1	2	yes	—
170	C₂³×#121	C₂³	1	2	yes	—
171	C₂³×#121	C₂³	1	8	yes	—
172	C₂³×#121	C₂³	1	2	yes	—
173	C₂³×#121	C₂³	1	4	yes	—
174	C₂²×C₄×#41	D₄	1	4	yes	—
175	C₂²×C₄×#41	D₄	1	4	yes	—
176	C₂²×C₄×#41	D₄	1	48	yes	—
177	C₂²×C₄×#41	C₂³	1	4	yes	—
178	C₂²×C₄×#41	C₂³	1	48	yes	—
179	C₂²×C₄×#41	C₂³	1	4	yes	—
180	C₂²×C₄×#41	C₂³	1	4	yes	—
181	C₂²×C₄×#41	C₂³	1	4	yes	—
182	C₂²×C₄×#41	C₂³	1	48	yes	complemented
183	C₂³×C₄×Q₈	D₄	1	1	yes	characteristic
184	C₂³×C₄×Q₈	C₂³	1	1	yes	characteristic
185	C₂³×C₄×Q₈	C₂³	1	1	yes	characteristic
186	C₂³×C₄×Q₈	C₂³	1	1	yes	characteristic
187	C₂³×C₄×D₄	D₄	1	1	yes	characteristic
188	C₂³×C₄×D₄	D₄	1	2	yes	—
189	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×D₄	C₂³	1	2	yes	—
191	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
192	C₂³×C₄×D₄	C₂³	1	2	yes	—
193	C₂³×C₄×D₄	C₂³	1	8	yes	—
194	C₂³×C₄×D₄	C₂³	1	2	yes	—
195	C₂³×C₄×D₄	C₂³	1	2	yes	—
196	C₂³×C₄×D₄	C₂³	1	8	yes	—
197	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄×D₄	C₂³	1	96	yes	complemented
199	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
200	C₂³×C₄×D₄	C₂³	1	4	yes	complemented
201	C₂³×#117	D₄	1	1	yes	characteristic
202	C₂³×#117	D₄	1	2	yes	—
203	C₂³×#117	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂⁴×C₄²	C₂³	1	2	yes	—
206	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
207	#62128	C₂³	1	8192	yes	complemented
208	#61979	C₂³	1	8192	yes	complemented
209	#61891	C₂³	1	2048	yes	complemented
210	#61825	C₂³	1	2048	yes	complemented
211	#61707	C₂³	1	4096	yes	complemented
212	#61697	C₂³	1	2048	yes	complemented
213	#61569	C₂³	1	4096	yes	complemented
214	#61559	C₂³	1	2048	yes	complemented
215	#61451	C₂³	1	16384	yes	complemented
216	C₂×#3399	C₂³	1	768	yes	complemented
217	C₂×#3384	C₂³	1	768	yes	complemented
218	C₂×#3373	C₂³	1	768	yes	complemented
219	C₂×#3366	C₂³	1	768	yes	complemented
220	C₂×#3345	C₂³	1	1536	yes	complemented
221	C₂×#3335	C₂³	1	768	yes	complemented
222	C₂×#3318	C₂³	1	1536	yes	complemented
223	C₂×#3306	C₂³	1	1536	yes	complemented
224	C₂×#3295	C₂³	1	768	yes	complemented
225	C₂×#3294	C₂³	1	768	yes	complemented
226	C₂×D₄×D₈	C₂³	1	768	yes	complemented
227	C₂×#3264	C₂³	1	1536	yes	complemented
228	#60968	C₂³	1	2048	yes	complemented
229	#60958	C₂³	1	4096	yes	complemented
230	C₂×#3253	C₂³	1	384	yes	complemented
231	C₂×#3247	C₂³	1	768	yes	complemented
232	C₂×#3238	C₂³	1	384	yes	complemented
233	C₂×#3234	C₂³	1	384	yes	complemented
234	C₂×#3227	C₂³	1	192	yes	complemented
235	C₂×#3227	C₂³	1	192	yes	complemented
236	C₂×#3217	C₂³	1	384	yes	complemented
237	C₂×#3213	C₂³	1	384	yes	complemented
238	C₂×#3205	C₂³	1	192	yes	complemented
239	C₂×#3205	C₂³	1	192	yes	complemented
240	C₂×#3192	C₂³	1	384	yes	complemented
241	C₂×#3187	C₂³	1	384	yes	complemented
242	C₂×#3186	C₂³	1	384	yes	complemented
243	C₂×#3184	C₂³	1	384	yes	complemented
244	C₂×#3180	C₂³	1	768	yes	complemented
245	C₂²×#501	C₂³	1	16	yes	complemented
246	C₂²×#498	C₂³	1	8	yes	complemented
247	C₂²×#496	C₂³	1	16	yes	complemented
248	C₂²×#493	C₂³	1	8	yes	—
249	C₂²×#490	C₂³	1	16	yes	complemented
250	C₂²×#489	C₂³	1	16	yes	complemented
251	C₂²×#486	C₂³	1	8	yes	—
252	C₂²×#486	C₂³	1	8	yes	complemented
253	#60561	C₂³	1	2048	yes	complemented
254	C₂×#3112	C₂³	1	192	yes	complemented
255	C₂×#3109	C₂³	1	384	yes	complemented
256	C₂×#3109	C₂³	1	192	yes	complemented
257	C₂×#3109	C₂³	1	384	yes	complemented
258	C₂×#3109	C₂³	1	384	yes	complemented
259	C₂×#3109	C₂³	1	768	yes	complemented
260	C₂×#3109	C₂³	1	768	yes	complemented
261	C₂×#3109	C₂³	1	384	yes	complemented
262	C₂×#3109	C₂³	1	4096	yes	complemented
263	C₂×#3115	C₂³	1	384	yes	complemented
264	C₂×#3114	C₂³	1	768	yes	complemented
265	C₂×#3106	C₂³	1	384	yes	complemented
266	C₂×#3103	C₂³	1	192	yes	complemented
267	C₂×#3100	C₂³	1	192	yes	complemented
268	C₂×#3094	C₂³	1	192	yes	complemented
269	C₂²×#481	C₂³	1	16	yes	—
270	C₂²×#481	C₂³	1	8	yes	—
271	C₂²×#481	C₂³	1	384	yes	complemented
272	C₂²×#481	C₂³	1	16	yes	complemented
273	C₂²×#481	C₂³	1	32	yes	complemented
274	C₂²×#482	C₂³	1	16	yes	complemented
275	C₂²×#483	C₂³	1	16	yes	complemented
276	C₂²×#480	C₂³	1	8	yes	—
277	C₂²×#480	C₂³	1	16	yes	—
278	C₂×#3079	C₂³	1	192	yes	complemented
279	C₂²×#477	C₂³	1	8	yes	complemented
280	C₂²×#475	C₂³	1	8	yes	complemented
281	C₂²×#478	C₂³	1	32	yes	complemented
282	C₂²×#476	C₂³	1	16	yes	—
283	C₂²×#476	C₂³	1	8	yes	—
284	C₂²×#476	C₂³	1	16	yes	complemented
285	C₂²×#476	C₂³	1	16	yes	complemented
286	C₂²×#476	C₂³	1	16	yes	complemented
287	C₂²×#476	C₂³	1	384	yes	complemented
288	C₂²×#474	C₂³	1	8	yes	—
289	C₂²×#469	C₂³	1	32	yes	complemented
290	C₂²×#466	C₂³	1	32	yes	—
291	C₂²×#465	C₂³	1	32	yes	complemented
292	C₂×#3038	C₂³	1	192	yes	complemented
293	C₂²×#460	C₂³	1	8	yes	complemented
294	C₂²×#460	C₂³	1	8	yes	complemented
295	C₂²×#463	C₂³	1	32	yes	complemented
296	C₂²×#459	C₂³	1	16	yes	—
297	C₂²×#459	C₂³	1	16	yes	—
298	C₂²×#459	C₂³	1	8	yes	—
299	C₂²×#459	C₂³	1	8	yes	—
300	C₂²×#459	C₂³	1	16	yes	complemented
301	C₂²×#459	C₂³	1	16	yes	complemented
302	C₂²×#459	C₂³	1	384	yes	complemented
303	C₂×#3006	C₂³	1	192	yes	complemented
304	C₂²×#449	C₂³	1	16	yes	—
305	C₂²×#448	C₂³	1	8	yes	—
306	C₂²×#450	C₂³	1	16	yes	complemented
307	C₂²×#447	C₂³	1	16	yes	—
308	C₂²×#447	C₂³	1	16	yes	—
309	C₂²×#447	C₂³	1	32	yes	—
310	C₂²×#447	C₂³	1	8	yes	—
311	C₂²×#447	C₂³	1	384	yes	complemented
312	C₂²×#447	C₂³	1	16	yes	complemented
313	#60282	C₂³	1	1024	yes	complemented
314	C₂×#2990	C₂³	1	384	yes	complemented
315	C₂×#2983	C₂³	1	96	yes	complemented
316	C₂×#2973	C₂³	1	192	yes	complemented
317	C₂×#2972	C₂³	1	96	yes	complemented
318	C₂×#2970	C₂³	1	384	yes	complemented
319	C₂²×#446	C₂³	1	16	yes	complemented
320	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	384	yes	complemented
321	C₂²×#442	C₂³	1	16	yes	—
322	C₂²×#442	C₂³	1	32	yes	—
323	C₂²×#442	C₂³	1	32	yes	complemented
324	C₂²×#442	C₂³	1	32	yes	complemented
325	C₂²×#442	C₂³	1	768	yes	complemented
326	C₂²×#440	C₂³	1	16	yes	complemented
327	C₂²×C₄×SD₁₆	C₂³	1	16	yes	complemented
328	C₂²×C₄×D₈	C₂³	1	16	yes	—
329	C₂²×#435	C₂³	1	32	yes	complemented
330	C₂²×C₈×D₄	C₂³	1	16	yes	—
331	C₂×#2920	C₂³	1	96	yes	complemented
332	C₂²×#432	C₂³	1	4	yes	—
333	C₂²×#432	C₂³	1	8	yes	—
334	C₂²×#432	C₂³	1	8	yes	complemented
335	C₂²×#432	C₂³	1	8	yes	complemented
336	C₂²×#432	C₂³	1	4	yes	complemented
337	C₂²×#432	C₂³	1	192	yes	complemented
338	C₂²×#431	C₂³	1	4	yes	—
339	C₂²×#431	C₂³	1	4	yes	complemented
340	C₂²×#428	C₂³	1	8	yes	complemented
341	C₂³×#106	C₂³	1	16	yes	complemented
342	C₂²×#423	C₂³	1	4	yes	complemented
343	C₂³×C₄⋊C₈	C₂³	1	8	yes	complemented
344	C₂²×#417	C₂³	1	8	yes	—
345	C₂²×#418	C₂³	1	8	yes	complemented
346	C₂³×#102	C₂³	1	16	yes	—
347	C₂³×#102	C₂³	1	16	yes	complemented
348	C₂²×#407	C₂³	1	4	yes	—
349	C₂³×C₂²⋊C₈	C₂³	1	8	yes	—
350	C₂²×C₄×M₁₆	C₂³	1	4	yes	complemented
351	C₂³×#97	C₂³	1	8	yes	complemented
352	C₂³×#41	C₂×D₄	1	4	yes	—
353	C₂³×#41	C₂×D₄	1	4	yes	—
354	C₂³×#41	C₂×D₄	1	48	yes	—
355	C₂³×#41	C₂⁴	1	4	yes	—
356	C₂³×#41	C₂⁴	1	24	yes	—
357	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
358	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic
359	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
360	C₂⁴×D₄	C₂×D₄	1	2	yes	—
361	C₂⁴×D₄	C₂⁴	1	8	yes	—
362	C₂⁴×D₄	C₂⁴	1	8	yes	—
363	C₂⁴×D₄	C₂⁴	1	4	yes	—
364	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
365	C₂⁴×D₄	C₂⁴	1	2	yes	—
366	C₂⁴×D₄	C₂⁴	1	48	yes	—
367	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
368	C₂⁵×C₄	C₂×D₄	1	2	yes	—
369	C₂⁵×C₄	C₂×D₄	1	2	yes	—
370	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
371	C₂⁵×C₄	C₂⁴	1	2	yes	—
372	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
373	C₂²×AGL(1,ℤ/8)	C₂⁴	1	192	yes	—
374	C₂³×SD₁₆	C₂⁴	1	16	yes	—
375	C₂³×D₈	C₂⁴	1	32	yes	—
376	C₂³×D₈	C₂⁴	1	384	yes	—
377	C₂³×D₈	C₂⁴	1	16	yes	—
378	C₂³×M₁₆	C₂⁴	1	8	yes	—
379	C₂⁴×C₈	C₂⁴	1	16	yes	—
380	#3499	C₂⁴	1	1024	yes	complemented
381	#3498	C₂⁴	1	1024	yes	complemented
382	#3497	C₂⁴	1	512	yes	complemented
383	#3496	C₂⁴	1	512	yes	—
384	#3496	C₂⁴	1	1024	yes	complemented
385	#3481	C₂⁴	1	2048	yes	complemented
386	#3481	C₂⁴	1	2048	yes	complemented
387	C₂×#559	C₂⁴	1	192	yes	—
388	C₂×#559	C₂⁴	1	256	yes	complemented
389	C₂×#554	C₂⁴	1	192	yes	—
390	C₂×#554	C₂⁴	1	192	yes	—
391	C₂×#554	C₂⁴	1	256	yes	complemented
392	C₂×#554	C₂⁴	1	256	yes	complemented
393	C₂×#553	C₂⁴	1	384	yes	—
394	C₂×#553	C₂⁴	1	512	yes	complemented
395	D₄×#41	C₂⁴	1	2048	yes	complemented
396	C₂×#550	C₂⁴	1	192	yes	complemented
397	C₂×D₄×Q₈	C₂⁴	1	192	yes	complemented
398	C₂×#547	C₂⁴	1	192	yes	—
399	C₂×#547	C₂⁴	1	384	yes	complemented
400	C₂×#546	C₂⁴	1	384	yes	—
401	C₂×#546	C₂⁴	1	512	yes	complemented
402	C₂×D₄²	C₂⁴	1	192	yes	—
403	C₂×D₄²	C₂⁴	1	192	yes	—
404	C₂×D₄²	C₂⁴	1	256	yes	complemented
405	C₂×D₄²	C₂⁴	1	384	yes	complemented
406	C₂×#532	C₂⁴	1	96	yes	—
407	C₂×#532	C₂⁴	1	96	yes	—
408	C₂×#532	C₂⁴	1	192	yes	—
409	C₂×#532	C₂⁴	1	96	yes	—
410	C₂×#532	C₂⁴	1	96	yes	—
411	C₂×#532	C₂⁴	1	256	yes	complemented
412	C₂×#532	C₂⁴	1	192	yes	complemented
413	C₂×#532	C₂⁴	1	96	yes	complemented
414	C₂×#532	C₂⁴	1	96	yes	complemented
415	C₂×#532	C₂⁴	1	192	yes	complemented
416	C₂×#532	C₂⁴	1	1024	yes	complemented
417	C₂×#532	C₂⁴	1	512	yes	complemented
418	C₂²×C₄⋊Q₈	C₂⁴	1	4	yes	—
419	C₂²×C₄⋊Q₈	C₂⁴	1	4	yes	—
420	C₂²×C₄⋊Q₈	C₂⁴	1	8	yes	—
421	C₂²×C₄⋊Q₈	C₂⁴	1	4	yes	—
422	C₂²×C₄⋊Q₈	C₂⁴	1	24	yes	—
423	C₂²×C₄⋊Q₈	C₂⁴	1	96	yes	complemented
424	C₂²×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
425	C₂²×#127	C₂⁴	1	24	yes	—
426	C₂²×#127	C₂⁴	1	4	yes	—
427	C₂²×#127	C₂⁴	1	4	yes	—
428	C₂²×#127	C₂⁴	1	8	yes	—
429	C₂²×#127	C₂⁴	1	4	yes	—
430	C₂²×#127	C₂⁴	1	48	yes	complemented
431	C₂²×#127	C₂⁴	1	96	yes	complemented
432	C₂×#529	C₂⁴	1	192	yes	—
433	C₂×#529	C₂⁴	1	192	yes	—
434	C₂×#529	C₂⁴	1	512	yes	complemented
435	C₂²×#125	C₂⁴	1	8	yes	—
436	C₂²×#125	C₂⁴	1	48	yes	—
437	C₂²×#124	C₂⁴	1	48	yes	—
438	C₂²×#124	C₂⁴	1	8	yes	—
439	C₂²×C₂²⋊Q₈	C₂⁴	1	8	yes	—
440	C₂²×C₂²⋊Q₈	C₂⁴	1	48	yes	—
441	C₂²×#121	C₂⁴	1	16	yes	—
442	C₂²×#121	C₂⁴	1	8	yes	—
443	C₂²×#121	C₂⁴	1	8	yes	—
444	C₂²×#121	C₂⁴	1	8	yes	—
445	C₂²×#121	C₂⁴	1	192	yes	—
446	C₂²×#121	C₂⁴	1	96	yes	—
447	C₂²×#121	C₂⁴	1	48	yes	—
448	C₂²×#121	C₂⁴	1	48	yes	—
449	C₂²×#121	C₂⁴	1	8	yes	—
450	C₂×C₄×#41	C₂×D₄	1	96	yes	—
451	C₂×C₄×#41	C₂×D₄	1	192	yes	—
452	C₂×C₄×#41	C₂×D₄	1	192	yes	—
453	C₂×C₄×#41	C₂×D₄	1	768	yes	—
454	C₂×C₄×#41	C₂×D₄	1	96	yes	—
455	C₂×C₄×#41	C₂⁴	1	96	yes	—
456	C₂×C₄×#41	C₂⁴	1	96	yes	—
457	C₂×C₄×#41	C₂⁴	1	256	yes	—
458	C₂×C₄×#41	C₂⁴	1	96	yes	—
459	C₂×C₄×#41	C₂⁴	1	96	yes	—
460	C₂×C₄×#41	C₂⁴	1	256	yes	complemented
461	C₂²×C₄×Q₈	C₂×D₄	1	4	yes	—
462	C₂²×C₄×Q₈	C₂×D₄	1	48	yes	—
463	C₂²×C₄×Q₈	C₂×D₄	1	4	yes	—
464	C₂²×C₄×Q₈	C₂×D₄	1	24	yes	—
465	C₂²×C₄×Q₈	C₂×D₄	1	4	yes	—
466	C₂²×C₄×Q₈	C₂⁴	1	4	yes	—
467	C₂²×C₄×Q₈	C₂⁴	1	24	yes	—
468	C₂²×C₄×Q₈	C₂⁴	1	4	yes	—
469	C₂²×C₄×Q₈	C₂⁴	1	2	yes	—
470	C₂²×C₄×Q₈	C₂⁴	1	24	yes	—
471	C₂²×C₄×Q₈	C₂⁴	1	24	yes	—
472	C₂²×C₄×Q₈	C₂⁴	1	2	yes	—
473	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
474	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
475	C₂²×C₄×D₄	C₂×D₄	1	48	yes	—
476	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
477	C₂²×C₄×D₄	C₂×D₄	1	96	yes	—
478	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
479	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
480	C₂²×C₄×D₄	C₂×D₄	1	24	yes	—
481	C₂²×C₄×D₄	C₂×D₄	1	48	yes	—
482	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
483	C₂²×C₄×D₄	C₂⁴	1	24	yes	—
484	C₂²×C₄×D₄	C₂⁴	1	48	yes	—
485	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
486	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
487	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
488	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
489	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
490	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
491	C₂²×C₄×D₄	C₂⁴	1	192	yes	—
492	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
493	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
494	C₂²×C₄×D₄	C₂⁴	1	16	yes	—
495	C₂²×C₄×D₄	C₂⁴	1	24	yes	—
496	C₂²×C₄×D₄	C₂⁴	1	24	yes	—
497	C₂²×C₄×D₄	C₂⁴	1	48	yes	—
498	C₂²×C₄×D₄	C₂⁴	1	48	yes	—
499	C₂²×C₄×D₄	C₂⁴	1	48	yes	—
500	C₂²×C₄×D₄	C₂⁴	1	192	yes	—
501	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
502	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
503	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
504	C₂²×C₄×D₄	C₂⁴	1	512	yes	complemented
505	C₂²×C₄×D₄	C₂⁴	1	192	yes	complemented
506	C₂²×C₄×D₄	C₂⁴	1	96	yes	complemented
507	C₂²×#117	C₂×D₄	1	4	yes	—
508	C₂²×#117	C₂×D₄	1	8	yes	—
509	C₂²×#117	C₂×D₄	1	48	yes	—
510	C₂²×#117	C₂×D₄	1	96	yes	—
511	C₂²×#117	C₂×D₄	1	4	yes	—
512	C₂²×#117	C₂×D₄	1	8	yes	—
513	C₂²×#117	C₂⁴	1	4	yes	—
514	C₂²×#117	C₂⁴	1	24	yes	—
515	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
516	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
517	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
518	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
519	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
520	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
521	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
522	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
523	C₂³×C₄⋊C₄	C₂⁴	1	48	yes	—
524	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
525	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
526	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
527	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
528	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
529	C₂³×C₄²	C₂×D₄	1	2	yes	—
530	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
531	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
532	C₂³×C₄²	C₂×D₄	1	2	yes	—
533	C₂³×C₄²	C₂×D₄	1	48	yes	—
534	C₂³×C₄²	C₂×D₄	1	4	yes	—
535	C₂³×C₄²	C₂×D₄	1	4	yes	—
536	C₂³×C₄²	C₂×D₄	1	24	yes	—
537	C₂³×C₄²	C₂×D₄	1	2	yes	—
538	C₂³×C₄²	C₂×D₄	1	2	yes	—
539	C₂³×C₄²	C₂⁴	1	4	yes	—
540	C₂³×C₄²	C₂⁴	1	2	yes	—
541	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
542	C₂³×C₄²	C₂⁴	1	2	yes	—
543	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
544	C₂³×C₄²	C₂⁴	1	4	yes	—
545	C₂³×C₄²	C₂⁴	1	48	yes	—
546	C₂³×C₄²	C₂⁴	1	2	yes	—
547	C₂³×C₄²	C₂⁴	1	24	yes	—
548	#3399	C₂⁴	1	4096	yes	complemented
549	#3384	C₂⁴	1	4096	yes	complemented
550	#3373	C₂⁴	1	4096	yes	complemented
551	#3366	C₂⁴	1	4096	yes	complemented
552	#3345	C₂⁴	1	8192	yes	complemented
553	#3335	C₂⁴	1	4096	yes	complemented
554	#3318	C₂⁴	1	8192	yes	complemented
555	#3306	C₂⁴	1	8192	yes	complemented
556	#3295	C₂⁴	1	4096	yes	complemented
557	#3294	C₂⁴	1	4096	yes	complemented
558	D₄×D₈	C₂⁴	1	4096	yes	complemented
559	#3264	C₂⁴	1	8192	yes	complemented
560	#3253	C₂⁴	1	2048	yes	complemented
561	#3247	C₂⁴	1	4096	yes	complemented
562	#3238	C₂⁴	1	2048	yes	complemented
563	#3234	C₂⁴	1	2048	yes	complemented
564	#3227	C₂⁴	1	1024	yes	complemented
565	#3227	C₂⁴	1	1024	yes	complemented
566	#3217	C₂⁴	1	2048	yes	complemented
567	#3213	C₂⁴	1	2048	yes	complemented
568	#3205	C₂⁴	1	1024	yes	complemented
569	#3205	C₂⁴	1	1024	yes	complemented
570	#3192	C₂⁴	1	2048	yes	complemented
571	#3187	C₂⁴	1	2048	yes	complemented
572	#3186	C₂⁴	1	2048	yes	complemented
573	#3184	C₂⁴	1	2048	yes	complemented
574	#3180	C₂⁴	1	4096	yes	complemented
575	C₂×#501	C₂⁴	1	384	yes	complemented
576	C₂×#498	C₂⁴	1	192	yes	complemented
577	C₂×#496	C₂⁴	1	384	yes	complemented
578	C₂×#493	C₂⁴	1	192	yes	—
579	C₂×#490	C₂⁴	1	384	yes	complemented
580	C₂×#489	C₂⁴	1	384	yes	complemented
581	C₂×#486	C₂⁴	1	192	yes	—
582	C₂×#486	C₂⁴	1	192	yes	complemented
583	#3115	C₂⁴	1	2048	yes	complemented
584	#3114	C₂⁴	1	4096	yes	complemented
585	#3112	C₂⁴	1	1024	yes	complemented
586	#3109	C₂⁴	1	1024	yes	complemented
587	#3109	C₂⁴	1	2048	yes	complemented
588	#3109	C₂⁴	1	2048	yes	complemented
589	#3109	C₂⁴	1	2048	yes	complemented
590	#3109	C₂⁴	1	4096	yes	complemented
591	#3109	C₂⁴	1	4096	yes	complemented
592	#3109	C₂⁴	1	2048	yes	complemented
593	#3106	C₂⁴	1	2048	yes	complemented
594	#3103	C₂⁴	1	1024	yes	complemented
595	#3100	C₂⁴	1	1024	yes	complemented
596	#3094	C₂⁴	1	1024	yes	complemented
597	C₂×#481	C₂⁴	1	384	yes	—
598	C₂×#481	C₂⁴	1	192	yes	—
599	C₂×#481	C₂⁴	1	768	yes	complemented
600	C₂×#481	C₂⁴	1	384	yes	complemented
601	C₂×#481	C₂⁴	1	2048	yes	complemented
602	C₂×#482	C₂⁴	1	384	yes	complemented
603	C₂×#483	C₂⁴	1	384	yes	complemented
604	C₂×#480	C₂⁴	1	384	yes	—
605	C₂×#480	C₂⁴	1	192	yes	—
606	#3079	C₂⁴	1	1024	yes	complemented
607	C₂×#477	C₂⁴	1	192	yes	complemented
608	C₂×#475	C₂⁴	1	192	yes	complemented
609	C₂×#478	C₂⁴	1	768	yes	complemented
610	C₂×#476	C₂⁴	1	192	yes	—
611	C₂×#476	C₂⁴	1	384	yes	—
612	C₂×#476	C₂⁴	1	384	yes	complemented
613	C₂×#476	C₂⁴	1	384	yes	complemented
614	C₂×#476	C₂⁴	1	384	yes	complemented
615	C₂×#476	C₂⁴	1	2048	yes	complemented
616	C₂×#474	C₂⁴	1	192	yes	—
617	C₂×#469	C₂⁴	1	768	yes	complemented
618	C₂×#466	C₂⁴	1	768	yes	—
619	C₂×#465	C₂⁴	1	768	yes	complemented
620	#3038	C₂⁴	1	1024	yes	complemented
621	C₂×#460	C₂⁴	1	192	yes	complemented
622	C₂×#460	C₂⁴	1	192	yes	complemented
623	C₂×#463	C₂⁴	1	768	yes	complemented
624	C₂×#459	C₂⁴	1	384	yes	—
625	C₂×#459	C₂⁴	1	384	yes	—
626	C₂×#459	C₂⁴	1	192	yes	—
627	C₂×#459	C₂⁴	1	192	yes	—
628	C₂×#459	C₂⁴	1	384	yes	complemented
629	C₂×#459	C₂⁴	1	384	yes	complemented
630	C₂×#459	C₂⁴	1	2048	yes	complemented
631	#3006	C₂⁴	1	1024	yes	complemented
632	C₂×#449	C₂⁴	1	384	yes	—
633	C₂×#448	C₂⁴	1	192	yes	—
634	C₂×#450	C₂⁴	1	384	yes	complemented
635	C₂×#447	C₂⁴	1	384	yes	—
636	C₂×#447	C₂⁴	1	384	yes	—
637	C₂×#447	C₂⁴	1	768	yes	—
638	C₂×#447	C₂⁴	1	192	yes	—
639	C₂×#447	C₂⁴	1	2048	yes	complemented
640	C₂×#447	C₂⁴	1	384	yes	complemented
641	#2990	C₂⁴	1	2048	yes	complemented
642	#2983	C₂⁴	1	512	yes	complemented
643	#2973	C₂⁴	1	1024	yes	complemented
644	#2972	C₂⁴	1	512	yes	complemented
645	#2970	C₂⁴	1	2048	yes	complemented
646	C₂×#446	C₂⁴	1	384	yes	complemented
647	C₄×AGL(1,ℤ/8)	C₂⁴	1	2048	yes	complemented
648	C₂×#442	C₂⁴	1	768	yes	—
649	C₂×#442	C₂⁴	1	384	yes	—
650	C₂×#442	C₂⁴	1	768	yes	complemented
651	C₂×#442	C₂⁴	1	768	yes	complemented
652	C₂×#442	C₂⁴	1	4096	yes	complemented
653	C₂×#440	C₂⁴	1	384	yes	complemented
654	C₂×C₄×SD₁₆	C₂⁴	1	384	yes	complemented
655	C₂×C₄×D₈	C₂⁴	1	384	yes	—
656	C₂×#435	C₂⁴	1	768	yes	complemented
657	C₂×C₈×D₄	C₂⁴	1	384	yes	—
658	#2920	C₂⁴	1	512	yes	complemented
659	C₂×#432	C₂⁴	1	192	yes	—
660	C₂×#432	C₂⁴	1	96	yes	—
661	C₂×#432	C₂⁴	1	192	yes	complemented
662	C₂×#432	C₂⁴	1	96	yes	complemented
663	C₂×#432	C₂⁴	1	192	yes	complemented
664	C₂×#432	C₂⁴	1	1024	yes	complemented
665	C₂×#431	C₂⁴	1	96	yes	—
666	C₂×#431	C₂⁴	1	96	yes	complemented
667	C₂×#428	C₂⁴	1	192	yes	complemented
668	C₂²×#107	C₂⁴	1	16	yes	—
669	C₂²×#106	C₂⁴	1	32	yes	—
670	C₂²×#106	C₂⁴	1	16	yes	—
671	C₂²×#106	C₂⁴	1	384	yes	complemented
672	C₂×#423	C₂⁴	1	96	yes	complemented
673	C₂²×C₄⋊C₈	C₂⁴	1	8	yes	—
674	C₂²×C₄⋊C₈	C₂⁴	1	16	yes	—
675	C₂²×C₄⋊C₈	C₂⁴	1	8	yes	—
676	C₂²×C₄⋊C₈	C₂⁴	1	192	yes	complemented
677	C₂×#417	C₂⁴	1	192	yes	—
678	C₂×#418	C₂⁴	1	192	yes	complemented
679	C₂²×#103	C₂⁴	1	16	yes	—
680	C₂²×#102	C₂⁴	1	32	yes	—
681	C₂²×#102	C₂⁴	1	16	yes	—
682	C₂²×#102	C₂⁴	1	32	yes	—
683	C₂²×#102	C₂⁴	1	16	yes	—
684	C₂²×#102	C₂⁴	1	384	yes	—
685	C₂²×#102	C₂⁴	1	16	yes	—
686	C₂²×#102	C₂⁴	1	384	yes	complemented
687	C₂×#407	C₂⁴	1	96	yes	—
688	C₂²×C₂²⋊C₈	C₂⁴	1	192	yes	—
689	C₂²×C₂²⋊C₈	C₂⁴	1	16	yes	—
690	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
691	C₂²×C₂²⋊C₈	C₂⁴	1	8	yes	—
692	C₂×C₄×M₁₆	C₂⁴	1	96	yes	complemented
693	C₂²×#97	C₂⁴	1	16	yes	—
694	C₂²×#97	C₂⁴	1	8	yes	—
695	C₂²×#97	C₂⁴	1	192	yes	complemented
696	C₂²×C₄×C₈	C₂⁴	1	8	yes	—
697	C₂⁶	C₂²×D₄	1	2	yes	—
698	C₂⁶	C₂²×D₄	1	1	yes	characteristic
699	C₂²×#41	C₂²×D₄	1	96	yes	—
700	C₂²×#41	C₂²×D₄	1	96	yes	—
701	C₂²×#41	C₂²×D₄	1	256	yes	—
702	C₂²×#41	C₂⁵	1	48	yes	—
703	C₂²×#41	C₂⁵	1	64	yes	—
704	C₂³×Q₈	C₂²×D₄	1	24	yes	—
705	C₂³×Q₈	C₂²×D₄	1	4	yes	—
706	C₂³×Q₈	C₂⁵	1	2	yes	—
707	C₂³×Q₈	C₂⁵	1	12	yes	—
708	C₂³×D₄	AGL(1,ℤ/8)	1	32	yes	complemented
709	C₂³×D₄	C₂²×D₄	1	4	yes	—
710	C₂³×D₄	C₂²×D₄	1	24	yes	—
711	C₂³×D₄	C₂²×D₄	1	48	yes	—
712	C₂³×D₄	C₂²×D₄	1	8	yes	—
713	C₂³×D₄	C₂⁵	1	2	yes	—
714	C₂³×D₄	C₂⁵	1	12	yes	—
715	C₂³×D₄	C₂⁵	1	4	yes	—
716	C₂³×D₄	C₂⁵	1	8	yes	—
717	C₂³×D₄	C₂⁵	1	96	yes	—
718	C₂³×D₄	C₂⁵	1	24	yes	—
719	C₂³×D₄	C₂⁵	1	128	yes	—
720	C₂³×D₄	C₂⁵	1	96	yes	—
721	C₂³×D₄	C₂⁵	1	48	yes	—
722	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
723	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
724	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
725	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
726	C₂⁴×C₄	C₂²×D₄	1	24	yes	—
727	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
728	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
729	C₂⁴×C₄	C₂²×D₄	1	48	yes	—
730	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
731	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
732	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
733	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
734	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
735	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
736	C₂⁴×C₄	C₂²×D₄	1	24	yes	—
737	C₂⁴×C₄	C₂²×D₄	1	48	yes	—
738	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
739	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
740	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
741	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
742	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
743	C₂⁴×C₄	C₂²×D₄	1	24	yes	—
744	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
745	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
746	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
747	C₂⁴×C₄	C₂⁵	1	4	yes	—
748	C₂⁴×C₄	C₂⁵	1	2	yes	—
749	C₂⁴×C₄	C₂⁵	1	24	yes	—
750	C₂⁴×C₄	C₂⁵	1	12	yes	—
751	C₂×AGL(1,ℤ/8)	C₂⁵	1	512	yes	—
752	C₂²×SD₁₆	C₂⁵	1	192	yes	—
753	C₂²×D₈	C₂⁵	1	384	yes	—
754	C₂²×D₈	C₂⁵	1	192	yes	—
755	C₂²×D₈	C₂⁵	1	1024	yes	—
756	C₂²×M₁₆	C₂⁵	1	96	yes	—
757	C₂³×C₈	C₂⁵	1	16	yes	—
758	C₂³×C₈	C₂⁵	1	192	yes	—
759	#559	C₂⁵	1	512	yes	—
760	#554	C₂⁵	1	512	yes	—
761	#554	C₂⁵	1	512	yes	—
762	#553	C₂⁵	1	1024	yes	—
763	#550	C₂⁵	1	512	yes	complemented
764	D₄×Q₈	C₂⁵	1	512	yes	complemented
765	#547	C₂⁵	1	512	yes	—
766	#547	C₂⁵	1	1024	yes	complemented
767	#546	C₂⁵	1	1024	yes	—
768	D₄²	C₂⁵	1	512	yes	—
769	D₄²	C₂⁵	1	512	yes	—
770	D₄²	C₂⁵	1	1024	yes	complemented
771	#532	C₂⁵	1	256	yes	—
772	#532	C₂⁵	1	256	yes	—
773	#532	C₂⁵	1	256	yes	—
774	#532	C₂⁵	1	512	yes	—
775	#532	C₂⁵	1	256	yes	—
776	#532	C₂⁵	1	256	yes	complemented
777	#532	C₂⁵	1	512	yes	complemented
778	#532	C₂⁵	1	512	yes	complemented
779	#532	C₂⁵	1	256	yes	complemented
780	C₂×C₄⋊Q₈	C₂⁵	1	48	yes	—
781	C₂×C₄⋊Q₈	C₂⁵	1	48	yes	—
782	C₂×C₄⋊Q₈	C₂⁵	1	48	yes	—
783	C₂×C₄⋊Q₈	C₂⁵	1	96	yes	—
784	C₂×C₄⋊Q₈	C₂⁵	1	64	yes	—
785	C₂×C₄⋊Q₈	C₂⁵	1	128	yes	complemented
786	C₂×C₄⋊Q₈	C₂⁵	1	256	yes	complemented
787	C₂×#127	C₂⁵	1	48	yes	—
788	C₂×#127	C₂⁵	1	48	yes	—
789	C₂×#127	C₂⁵	1	96	yes	—
790	C₂×#127	C₂⁵	1	64	yes	—
791	C₂×#127	C₂⁵	1	48	yes	—
792	C₂×#127	C₂⁵	1	128	yes	complemented
793	C₂×#127	C₂⁵	1	256	yes	complemented
794	#529	C₂⁵	1	512	yes	—
795	#529	C₂⁵	1	512	yes	—
796	C₂×#125	C₂⁵	1	96	yes	—
797	C₂×#125	C₂⁵	1	128	yes	—
798	C₂×#124	C₂⁵	1	96	yes	—
799	C₂×#124	C₂⁵	1	128	yes	—
800	C₂×C₂²⋊Q₈	C₂⁵	1	96	yes	—
801	C₂×C₂²⋊Q₈	C₂⁵	1	128	yes	—
802	C₂×#121	C₂⁵	1	96	yes	—
803	C₂×#121	C₂⁵	1	96	yes	—
804	C₂×#121	C₂⁵	1	96	yes	—
805	C₂×#121	C₂⁵	1	512	yes	—
806	C₂×#121	C₂⁵	1	96	yes	—
807	C₂×#121	C₂⁵	1	192	yes	—
808	C₂×#121	C₂⁵	1	256	yes	—
809	C₂×#121	C₂⁵	1	128	yes	—
810	C₂×#121	C₂⁵	1	128	yes	—
811	C₄×#41	C₂²×D₄	1	768	yes	—
812	C₄×#41	C₂²×D₄	1	768	yes	—
813	C₄×#41	C₂²×D₄	1	1024	yes	—
814	C₄×#41	C₂²×D₄	1	1024	yes	—
815	C₄×#41	C₂⁵	1	256	yes	—
816	C₄×#41	C₂⁵	1	256	yes	—
817	C₄×#41	C₂⁵	1	256	yes	—
818	C₄×#41	C₂⁵	1	256	yes	—
819	C₂×C₄×Q₈	C₂²×D₄	1	96	yes	—
820	C₂×C₄×Q₈	C₂²×D₄	1	96	yes	—
821	C₂×C₄×Q₈	C₂²×D₄	1	256	yes	—
822	C₂×C₄×Q₈	C₂²×D₄	1	48	yes	—
823	C₂×C₄×Q₈	C₂²×D₄	1	96	yes	—
824	C₂×C₄×Q₈	C₂²×D₄	1	192	yes	—
825	C₂×C₄×Q₈	C₂⁵	1	48	yes	—
826	C₂×C₄×Q₈	C₂⁵	1	64	yes	—
827	C₂×C₄×Q₈	C₂⁵	1	48	yes	—
828	C₂×C₄×Q₈	C₂⁵	1	24	yes	—
829	C₂×C₄×Q₈	C₂⁵	1	64	yes	—
830	C₂×C₄×Q₈	C₂⁵	1	64	yes	—
831	C₂×C₄×Q₈	C₂⁵	1	24	yes	—
832	C₂×C₄×D₄	C₂²×D₄	1	96	yes	—
833	C₂×C₄×D₄	C₂²×D₄	1	96	yes	—
834	C₂×C₄×D₄	C₂²×D₄	1	256	yes	—
835	C₂×C₄×D₄	C₂²×D₄	1	192	yes	—
836	C₂×C₄×D₄	C₂²×D₄	1	192	yes	—
837	C₂×C₄×D₄	C₂²×D₄	1	512	yes	—
838	C₂×C₄×D₄	C₂²×D₄	1	96	yes	—
839	C₂×C₄×D₄	C₂²×D₄	1	48	yes	—
840	C₂×C₄×D₄	C₂²×D₄	1	192	yes	—
841	C₂×C₄×D₄	C₂²×D₄	1	192	yes	—
842	C₂×C₄×D₄	C₂²×D₄	1	384	yes	—
843	C₂×C₄×D₄	C₂²×D₄	1	96	yes	—
844	C₂×C₄×D₄	C₂⁵	1	48	yes	—
845	C₂×C₄×D₄	C₂⁵	1	96	yes	—
846	C₂×C₄×D₄	C₂⁵	1	64	yes	—
847	C₂×C₄×D₄	C₂⁵	1	128	yes	—
848	C₂×C₄×D₄	C₂⁵	1	192	yes	—
849	C₂×C₄×D₄	C₂⁵	1	64	yes	—
850	C₂×C₄×D₄	C₂⁵	1	64	yes	—
851	C₂×C₄×D₄	C₂⁵	1	128	yes	—
852	C₂×C₄×D₄	C₂⁵	1	128	yes	—
853	C₂×C₄×D₄	C₂⁵	1	128	yes	—
854	C₂×C₄×D₄	C₂⁵	1	512	yes	—
855	C₂×C₄×D₄	C₂⁵	1	512	yes	—
856	C₂×C₄×D₄	C₂⁵	1	24	yes	—
857	C₂×C₄×D₄	C₂⁵	1	24	yes	—
858	C₂×C₄×D₄	C₂⁵	1	48	yes	—
859	C₂×C₄×D₄	C₂⁵	1	48	yes	—
860	C₂×C₄×D₄	C₂⁵	1	96	yes	—
861	C₂×C₄×D₄	C₂⁵	1	96	yes	—
862	C₂×C₄×D₄	C₂⁵	1	48	yes	—
863	C₂×C₄×D₄	C₂⁵	1	96	yes	—
864	C₂×C₄×D₄	C₂⁵	1	96	yes	—
865	C₂×C₄×D₄	C₂⁵	1	256	yes	complemented
866	C₂×C₄×D₄	C₂⁵	1	512	yes	complemented
867	C₂×#117	C₂²×D₄	1	96	yes	—
868	C₂×#117	C₂²×D₄	1	192	yes	—
869	C₂×#117	C₂²×D₄	1	96	yes	—
870	C₂×#117	C₂²×D₄	1	192	yes	—
871	C₂×#117	C₂²×D₄	1	256	yes	—
872	C₂×#117	C₂²×D₄	1	512	yes	—
873	C₂×#117	C₂⁵	1	48	yes	—
874	C₂×#117	C₂⁵	1	64	yes	—
875	C₂²×C₄⋊C₄	C₂²×D₄	1	24	yes	—
876	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
877	C₂²×C₄⋊C₄	C₂²×D₄	1	48	yes	—
878	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
879	C₂²×C₄⋊C₄	C₂²×D₄	1	24	yes	—
880	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
881	C₂²×C₄⋊C₄	C₂²×D₄	1	48	yes	—
882	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
883	C₂²×C₄⋊C₄	C₂⁵	1	12	yes	—
884	C₂²×C₄⋊C₄	C₂⁵	1	96	yes	—
885	C₂²×C₄⋊C₄	C₂⁵	1	12	yes	—
886	C₂²×C₄⋊C₄	C₂⁵	1	24	yes	—
887	C₂²×C₄⋊C₄	C₂⁵	1	128	yes	—
888	C₂²×C₄⋊C₄	C₂⁵	1	96	yes	—
889	C₂²×C₄⋊C₄	C₂⁵	1	48	yes	—
890	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
891	C₂²×C₄⋊C₄	C₂⁵	1	4	yes	—
892	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
893	C₂²×C₄⋊C₄	C₂⁵	1	8	yes	—
894	C₂²×C₂²⋊C₄	C₂²×D₄	1	48	yes	—
895	C₂²×C₂²⋊C₄	C₂²×D₄	1	48	yes	—
896	C₂²×C₂²⋊C₄	C₂²×D₄	1	48	yes	—
897	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
898	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
899	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
900	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
901	C₂²×C₄²	C₂²×D₄	1	12	yes	—
902	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
903	C₂²×C₄²	C₂²×D₄	1	48	yes	—
904	C₂²×C₄²	C₂²×D₄	1	24	yes	—
905	C₂²×C₄²	C₂²×D₄	1	4	yes	—
906	C₂²×C₄²	C₂²×D₄	1	2	yes	—
907	C₂²×C₄²	C₂²×D₄	1	4	yes	—
908	C₂²×C₄²	C₂²×D₄	1	2	yes	—
909	C₂²×C₄²	C₂²×D₄	1	2	yes	—
910	C₂²×C₄²	C₂²×D₄	1	4	yes	—
911	C₂²×C₄²	C₂²×D₄	1	12	yes	—
912	C₂²×C₄²	C₂²×D₄	1	24	yes	—
913	C₂²×C₄²	C₂²×D₄	1	2	yes	—
914	C₂²×C₄²	C₂²×D₄	1	2	yes	—
915	C₂²×C₄²	C₂²×D₄	1	24	yes	—
916	C₂²×C₄²	C₂²×D₄	1	48	yes	—
917	C₂²×C₄²	C₂²×D₄	1	4	yes	—
918	C₂²×C₄²	C₂²×D₄	1	4	yes	—
919	C₂²×C₄²	C₂²×D₄	1	48	yes	—
920	C₂²×C₄²	C₂²×D₄	1	24	yes	—
921	C₂²×C₄²	C₂²×D₄	1	48	yes	—
922	C₂²×C₄²	C₂²×D₄	1	96	yes	—
923	C₂²×C₄²	C₂²×D₄	1	96	yes	—
924	C₂²×C₄²	C₂²×D₄	1	384	yes	—
925	C₂²×C₄²	C₂²×D₄	1	24	yes	—
926	C₂²×C₄²	C₂²×D₄	1	48	yes	—
927	C₂²×C₄²	C₂²×D₄	1	48	yes	—
928	C₂²×C₄²	C₂²×D₄	1	192	yes	—
929	C₂²×C₄²	C₂⁵	1	2	yes	—
930	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
931	C₂²×C₄²	C₂⁵	1	4	yes	—
932	C₂²×C₄²	C₂⁵	1	48	yes	—
933	C₂²×C₄²	C₂⁵	1	24	yes	—
934	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
935	C₂²×C₄²	C₂⁵	1	48	yes	—
936	C₂²×C₄²	C₂⁵	1	24	yes	—
937	C₂²×C₄²	C₂⁵	1	12	yes	—
938	C₂²×C₄²	C₂⁵	1	24	yes	—
939	C₂²×C₄²	C₂⁵	1	12	yes	—
940	C₂²×C₄²	C₂⁵	1	128	yes	—
941	C₂²×C₄²	C₂⁵	1	64	yes	—
942	#501	C₂⁵	1	1024	yes	complemented
943	#498	C₂⁵	1	512	yes	complemented
944	#496	C₂⁵	1	1024	yes	complemented
945	#493	C₂⁵	1	512	yes	—
946	#490	C₂⁵	1	1024	yes	complemented
947	#489	C₂⁵	1	1024	yes	complemented
948	#486	C₂⁵	1	512	yes	—
949	#486	C₂⁵	1	512	yes	complemented
950	#483	C₂⁵	1	1024	yes	complemented
951	#482	C₂⁵	1	1024	yes	complemented
952	#481	C₂⁵	1	512	yes	—
953	#481	C₂⁵	1	1024	yes	—
954	#481	C₂⁵	1	2048	yes	complemented
955	#481	C₂⁵	1	1024	yes	complemented
956	#480	C₂⁵	1	1024	yes	—
957	#480	C₂⁵	1	512	yes	—
958	#478	C₂⁵	1	2048	yes	complemented
959	#477	C₂⁵	1	512	yes	complemented
960	#476	C₂⁵	1	512	yes	—
961	#476	C₂⁵	1	1024	yes	—
962	#476	C₂⁵	1	1024	yes	complemented
963	#476	C₂⁵	1	1024	yes	complemented
964	#476	C₂⁵	1	1024	yes	complemented
965	#475	C₂⁵	1	512	yes	complemented
966	#474	C₂⁵	1	512	yes	—
967	#469	C₂⁵	1	2048	yes	complemented
968	#466	C₂⁵	1	2048	yes	—
969	#465	C₂⁵	1	2048	yes	complemented
970	#463	C₂⁵	1	2048	yes	complemented
971	#460	C₂⁵	1	512	yes	complemented
972	#460	C₂⁵	1	512	yes	complemented
973	#459	C₂⁵	1	512	yes	—
974	#459	C₂⁵	1	512	yes	—
975	#459	C₂⁵	1	1024	yes	—
976	#459	C₂⁵	1	1024	yes	—
977	#459	C₂⁵	1	1024	yes	complemented
978	#459	C₂⁵	1	1024	yes	complemented
979	#450	C₂⁵	1	1024	yes	complemented
980	#449	C₂⁵	1	1024	yes	—
981	#448	C₂⁵	1	512	yes	—
982	#447	C₂⁵	1	512	yes	—
983	#447	C₂⁵	1	1024	yes	—
984	#447	C₂⁵	1	2048	yes	—
985	#447	C₂⁵	1	1024	yes	—
986	#447	C₂⁵	1	1024	yes	complemented
987	#446	C₂⁵	1	1024	yes	complemented
988	#442	C₂⁵	1	1024	yes	—
989	#442	C₂⁵	1	2048	yes	—
990	#442	C₂⁵	1	2048	yes	complemented
991	#442	C₂⁵	1	2048	yes	complemented
992	#440	C₂⁵	1	1024	yes	complemented
993	C₄×SD₁₆	C₂⁵	1	1024	yes	complemented
994	C₄×D₈	C₂⁵	1	1024	yes	—
995	#435	C₂⁵	1	2048	yes	complemented
996	C₈×D₄	C₂⁵	1	1024	yes	—
997	#432	C₂⁵	1	256	yes	—
998	#432	C₂⁵	1	512	yes	—
999	#432	C₂⁵	1	512	yes	complemented
1000	#432	C₂⁵	1	256	yes	complemented
1001	#432	C₂⁵	1	512	yes	complemented
1002	#431	C₂⁵	1	256	yes	—
1003	#431	C₂⁵	1	256	yes	complemented
1004	#428	C₂⁵	1	512	yes	complemented
1005	C₂×#107	C₂⁵	1	192	yes	—
1006	C₂×#106	C₂⁵	1	384	yes	—
1007	C₂×#106	C₂⁵	1	192	yes	—
1008	C₂×#106	C₂⁵	1	1024	yes	complemented
1009	#423	C₂⁵	1	256	yes	complemented
1010	C₂×C₄⋊C₈	C₂⁵	1	192	yes	—
1011	C₂×C₄⋊C₈	C₂⁵	1	96	yes	—
1012	C₂×C₄⋊C₈	C₂⁵	1	96	yes	—
1013	C₂×C₄⋊C₈	C₂⁵	1	512	yes	complemented
1014	#418	C₂⁵	1	512	yes	complemented
1015	#417	C₂⁵	1	512	yes	—
1016	C₂×#103	C₂⁵	1	192	yes	—
1017	C₂×#102	C₂⁵	1	192	yes	—
1018	C₂×#102	C₂⁵	1	384	yes	—
1019	C₂×#102	C₂⁵	1	384	yes	—
1020	C₂×#102	C₂⁵	1	192	yes	—
1021	C₂×#102	C₂⁵	1	192	yes	—
1022	C₂×#102	C₂⁵	1	1024	yes	—
1023	C₂×#102	C₂⁵	1	1024	yes	complemented
1024	#407	C₂⁵	1	256	yes	—
1025	C₂×C₂²⋊C₈	C₂⁵	1	192	yes	—
1026	C₂×C₂²⋊C₈	C₂⁵	1	96	yes	—
1027	C₂×C₂²⋊C₈	C₂⁵	1	96	yes	—
1028	C₂×C₂²⋊C₈	C₂⁵	1	512	yes	—
1029	C₄×M₁₆	C₂⁵	1	256	yes	complemented
1030	C₂×#97	C₂⁵	1	96	yes	—
1031	C₂×#97	C₂⁵	1	192	yes	—
1032	C₂×#97	C₂⁵	1	512	yes	complemented
1033	C₂×C₄×C₈	C₂⁵	1	96	yes	—
1034	C₂⁵	C₂×AGL(1,ℤ/8)	1	32	yes	—
1035	C₂⁵	C₂³×D₄	1	12	yes	—
1036	C₂⁵	C₂³×D₄	1	24	yes	—
1037	C₂⁵	C₂³×D₄	1	2	yes	—
1038	C₂⁵	C₂³×D₄	1	4	yes	—
1039	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1040	C₂×#41	C₂³×D₄	1	256	yes	—
1041	C₂×#41	C₂³×D₄	1	256	yes	—
1042	C₂×#41	C₂⁶	1	64	yes	—
1043	C₂²×Q₈	C₂³×D₄	1	48	yes	—
1044	C₂²×Q₈	C₂³×D₄	1	64	yes	—
1045	C₂²×Q₈	C₂⁶	1	12	yes	—
1046	C₂²×Q₈	C₂⁶	1	16	yes	—
1047	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	64	yes	—
1048	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	384	yes	complemented
1049	C₂²×D₄	C₂³×D₄	1	48	yes	—
1050	C₂²×D₄	C₂³×D₄	1	64	yes	—
1051	C₂²×D₄	C₂³×D₄	1	96	yes	—
1052	C₂²×D₄	C₂³×D₄	1	128	yes	—
1053	C₂²×D₄	#585	1	16	yes	complemented
1054	C₂²×D₄	C₂⁶	1	12	yes	—
1055	C₂²×D₄	C₂⁶	1	16	yes	—
1056	C₂²×D₄	C₂⁶	1	24	yes	—
1057	C₂²×D₄	C₂⁶	1	32	yes	—
1058	C₂²×D₄	C₂⁶	1	48	yes	—
1059	C₂²×D₄	C₂⁶	1	128	yes	—
1060	C₂²×D₄	C₂⁶	1	128	yes	—
1061	C₂²×D₄	C₂⁶	1	64	yes	—
1062	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	16	yes	—
1063	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1064	C₂³×C₄	C₂³×D₄	1	12	yes	—
1065	C₂³×C₄	C₂³×D₄	1	2	yes	—
1066	C₂³×C₄	C₂³×D₄	1	24	yes	—
1067	C₂³×C₄	C₂³×D₄	1	12	yes	—
1068	C₂³×C₄	C₂³×D₄	1	24	yes	—
1069	C₂³×C₄	C₂³×D₄	1	12	yes	—
1070	C₂³×C₄	C₂³×D₄	1	24	yes	—
1071	C₂³×C₄	C₂³×D₄	1	24	yes	—
1072	C₂³×C₄	C₂³×D₄	1	24	yes	—
1073	C₂³×C₄	C₂³×D₄	1	64	yes	—
1074	C₂³×C₄	C₂³×D₄	1	48	yes	—
1075	C₂³×C₄	C₂³×D₄	1	48	yes	—
1076	C₂³×C₄	C₂³×D₄	1	128	yes	—
1077	C₂³×C₄	C₂³×D₄	1	48	yes	—
1078	C₂³×C₄	C₂³×D₄	1	24	yes	—
1079	C₂³×C₄	C₂³×D₄	1	48	yes	—
1080	C₂³×C₄	C₂³×D₄	1	128	yes	—
1081	C₂³×C₄	C₂³×D₄	1	24	yes	—
1082	C₂³×C₄	C₂³×D₄	1	64	yes	—
1083	C₂³×C₄	C₂³×D₄	1	24	yes	—
1084	C₂³×C₄	C₂³×D₄	1	12	yes	—
1085	C₂³×C₄	C₂³×D₄	1	96	yes	—
1086	C₂³×C₄	C₂³×D₄	1	48	yes	—
1087	C₂³×C₄	C₂³×D₄	1	48	yes	—
1088	C₂³×C₄	C₂³×D₄	1	24	yes	—
1089	C₂³×C₄	C₂³×D₄	1	12	yes	—
1090	C₂³×C₄	C₂³×D₄	1	12	yes	—
1091	C₂³×C₄	C₂³×D₄	1	6	yes	—
1092	C₂³×C₄	C₂³×D₄	1	2	yes	—
1093	C₂³×C₄	C₂³×D₄	1	4	yes	—
1094	C₂³×C₄	C₂³×D₄	1	4	yes	—
1095	C₂³×C₄	C₂³×D₄	1	2	yes	—
1096	C₂³×C₄	C₂³×D₄	1	4	yes	—
1097	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1098	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1099	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1100	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1101	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1102	C₂³×C₄	C₂⁶	1	24	yes	—
1103	C₂³×C₄	C₂⁶	1	6	yes	—
1104	C₂³×C₄	C₂⁶	1	12	yes	—
1105	C₂³×C₄	C₂⁶	1	32	yes	—
1106	C₂³×C₄	C₂⁶	1	16	yes	—
1107	C₂×SD₁₆	C₂⁶	1	256	yes	—
1108	C₂×D₈	C₂⁶	1	256	yes	—
1109	C₂×D₈	C₂⁶	1	512	yes	—
1110	C₂×M₁₆	C₂⁶	1	128	yes	—
1111	C₂²×C₈	C₂⁶	1	96	yes	—
1112	C₂²×C₈	C₂⁶	1	256	yes	—
1113	C₄⋊Q₈	C₂⁶	1	64	yes	—
1114	C₄⋊Q₈	C₂⁶	1	64	yes	—
1115	C₄⋊Q₈	C₂⁶	1	64	yes	—
1116	C₄⋊Q₈	C₂⁶	1	128	yes	—
1117	#127	C₂⁶	1	64	yes	—
1118	#127	C₂⁶	1	64	yes	—
1119	#127	C₂⁶	1	64	yes	—
1120	#127	C₂⁶	1	128	yes	—
1121	#125	C₂⁶	1	128	yes	—
1122	#124	C₂⁶	1	128	yes	—
1123	C₂²⋊Q₈	C₂⁶	1	128	yes	—
1124	#121	C₂⁶	1	128	yes	—
1125	#121	C₂⁶	1	128	yes	—
1126	#121	C₂⁶	1	128	yes	—
1127	#121	C₂⁶	1	256	yes	—
1128	#121	C₂⁶	1	128	yes	—
1129	C₄×Q₈	C₂³×D₄	1	256	yes	—
1130	C₄×Q₈	C₂³×D₄	1	256	yes	—
1131	C₄×Q₈	C₂³×D₄	1	192	yes	—
1132	C₄×Q₈	C₂³×D₄	1	256	yes	—
1133	C₄×Q₈	C₂⁶	1	64	yes	—
1134	C₄×Q₈	C₂⁶	1	32	yes	—
1135	C₄×Q₈	C₂⁶	1	32	yes	—
1136	C₄×Q₈	C₂⁶	1	64	yes	—
1137	C₄×D₄	C₂³×D₄	1	256	yes	—
1138	C₄×D₄	C₂³×D₄	1	256	yes	—
1139	C₄×D₄	C₂³×D₄	1	512	yes	—
1140	C₄×D₄	C₂³×D₄	1	512	yes	—
1141	C₄×D₄	C₂³×D₄	1	192	yes	—
1142	C₄×D₄	C₂³×D₄	1	256	yes	—
1143	C₄×D₄	C₂³×D₄	1	384	yes	—
1144	C₄×D₄	C₂³×D₄	1	512	yes	—
1145	C₄×D₄	C₂⁶	1	64	yes	—
1146	C₄×D₄	C₂⁶	1	128	yes	—
1147	C₄×D₄	C₂⁶	1	32	yes	—
1148	C₄×D₄	C₂⁶	1	32	yes	—
1149	C₄×D₄	C₂⁶	1	64	yes	—
1150	C₄×D₄	C₂⁶	1	64	yes	—
1151	C₄×D₄	C₂⁶	1	128	yes	—
1152	C₄×D₄	C₂⁶	1	128	yes	—
1153	C₄×D₄	C₂⁶	1	64	yes	—
1154	C₄×D₄	C₂⁶	1	128	yes	—
1155	C₄×D₄	C₂⁶	1	128	yes	—
1156	C₄×D₄	C₂⁶	1	256	yes	—
1157	#117	C₂³×D₄	1	256	yes	—
1158	#117	C₂³×D₄	1	512	yes	—
1159	#117	C₂³×D₄	1	256	yes	—
1160	#117	C₂³×D₄	1	512	yes	—
1161	#117	C₂⁶	1	64	yes	—
1162	C₂×C₄⋊C₄	C₂³×D₄	1	48	yes	—
1163	C₂×C₄⋊C₄	C₂³×D₄	1	64	yes	—
1164	C₂×C₄⋊C₄	C₂³×D₄	1	96	yes	—
1165	C₂×C₄⋊C₄	C₂³×D₄	1	128	yes	—
1166	C₂×C₄⋊C₄	C₂³×D₄	1	48	yes	—
1167	C₂×C₄⋊C₄	C₂³×D₄	1	64	yes	—
1168	C₂×C₄⋊C₄	C₂³×D₄	1	96	yes	—
1169	C₂×C₄⋊C₄	C₂³×D₄	1	128	yes	—
1170	C₂×C₄⋊C₄	C₂⁶	1	12	yes	—
1171	C₂×C₄⋊C₄	C₂⁶	1	16	yes	—
1172	C₂×C₄⋊C₄	C₂⁶	1	48	yes	—
1173	C₂×C₄⋊C₄	C₂⁶	1	24	yes	—
1174	C₂×C₄⋊C₄	C₂⁶	1	32	yes	—
1175	C₂×C₄⋊C₄	C₂⁶	1	128	yes	—
1176	C₂×C₄⋊C₄	C₂⁶	1	12	yes	—
1177	C₂×C₄⋊C₄	C₂⁶	1	16	yes	—
1178	C₂×C₄⋊C₄	C₂⁶	1	128	yes	—
1179	C₂×C₄⋊C₄	C₂⁶	1	64	yes	—
1180	C₂×C₂²⋊C₄	C₂³×D₄	1	96	yes	—
1181	C₂×C₂²⋊C₄	C₂³×D₄	1	96	yes	—
1182	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	—
1183	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	—
1184	C₂×C₂²⋊C₄	C₂³×D₄	1	96	yes	—
1185	C₂×C₂²⋊C₄	C₂³×D₄	1	128	yes	—
1186	C₂×C₄²	C₂³×D₄	1	48	yes	—
1187	C₂×C₄²	C₂³×D₄	1	24	yes	—
1188	C₂×C₄²	C₂³×D₄	1	48	yes	—
1189	C₂×C₄²	C₂³×D₄	1	24	yes	—
1190	C₂×C₄²	C₂³×D₄	1	128	yes	—
1191	C₂×C₄²	C₂³×D₄	1	64	yes	—
1192	C₂×C₄²	C₂³×D₄	1	12	yes	—
1193	C₂×C₄²	C₂³×D₄	1	24	yes	—
1194	C₂×C₄²	C₂³×D₄	1	24	yes	—
1195	C₂×C₄²	C₂³×D₄	1	48	yes	—
1196	C₂×C₄²	C₂³×D₄	1	24	yes	—
1197	C₂×C₄²	C₂³×D₄	1	24	yes	—
1198	C₂×C₄²	C₂³×D₄	1	64	yes	—
1199	C₂×C₄²	C₂³×D₄	1	48	yes	—
1200	C₂×C₄²	C₂³×D₄	1	96	yes	—
1201	C₂×C₄²	C₂³×D₄	1	48	yes	—
1202	C₂×C₄²	C₂³×D₄	1	48	yes	—
1203	C₂×C₄²	C₂³×D₄	1	128	yes	—
1204	C₂×C₄²	C₂³×D₄	1	192	yes	—
1205	C₂×C₄²	C₂³×D₄	1	96	yes	—
1206	C₂×C₄²	C₂³×D₄	1	192	yes	—
1207	C₂×C₄²	C₂³×D₄	1	96	yes	—
1208	C₂×C₄²	C₂³×D₄	1	256	yes	—
1209	C₂×C₄²	C₂³×D₄	1	256	yes	—
1210	C₂×C₄²	C₂³×D₄	1	128	yes	—
1211	C₂×C₄²	C₂³×D₄	1	128	yes	—
1212	C₂×C₄²	C₂³×D₄	1	6	yes	—
1213	C₂×C₄²	C₂³×D₄	1	6	yes	—
1214	C₂×C₄²	C₂³×D₄	1	12	yes	—
1215	C₂×C₄²	C₂³×D₄	1	48	yes	—
1216	C₂×C₄²	C₂³×D₄	1	12	yes	—
1217	C₂×C₄²	C₂⁶	1	6	yes	—
1218	C₂×C₄²	C₂⁶	1	24	yes	—
1219	C₂×C₄²	C₂⁶	1	12	yes	—
1220	C₂×C₄²	C₂⁶	1	32	yes	—
1221	C₂×C₄²	C₂⁶	1	6	yes	—
1222	C₂×C₄²	C₂⁶	1	16	yes	—
1223	C₂×C₄²	C₂⁶	1	64	yes	—
1224	C₂×C₄²	C₂⁶	1	16	yes	—
1225	C₂×C₄²	C₂⁶	1	64	yes	—
1226	C₂×C₄²	C₂⁶	1	32	yes	—
1227	C₂×C₄²	C₂⁶	1	32	yes	—
1228	#107	C₂⁶	1	256	yes	—
1229	#106	C₂⁶	1	256	yes	—
1230	#106	C₂⁶	1	512	yes	—
1231	C₄⋊C₈	C₂⁶	1	128	yes	—
1232	C₄⋊C₈	C₂⁶	1	256	yes	—
1233	C₄⋊C₈	C₂⁶	1	128	yes	—
1234	#103	C₂⁶	1	256	yes	—
1235	#102	C₂⁶	1	256	yes	—
1236	#102	C₂⁶	1	512	yes	—
1237	#102	C₂⁶	1	256	yes	—
1238	#102	C₂⁶	1	512	yes	—
1239	#102	C₂⁶	1	256	yes	—
1240	C₂²⋊C₈	C₂⁶	1	128	yes	—
1241	C₂²⋊C₈	C₂⁶	1	256	yes	—
1242	C₂²⋊C₈	C₂⁶	1	128	yes	—
1243	#97	C₂⁶	1	128	yes	—
1244	#97	C₂⁶	1	256	yes	—
1245	C₄×C₈	C₂⁶	1	128	yes	—
1246	C₂⁴	C₂²×AGL(1,ℤ/8)	1	8	yes	—
1247	C₂⁴	C₂²×AGL(1,ℤ/8)	1	32	yes	—
1248	C₂⁴	C₂²×AGL(1,ℤ/8)	1	192	yes	—
1249	C₂⁴	C₂⁴×D₄	1	24	yes	—
1250	C₂⁴	C₂⁴×D₄	1	32	yes	—
1251	C₂⁴	C₂⁴×D₄	1	6	yes	—
1252	C₂⁴	C₂⁴×D₄	1	12	yes	—
1253	C₂⁴	C₂⁴×D₄	1	16	yes	—
1254	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1255	C₂×Q₈	C₂⁴×D₄	1	64	yes	—
1256	C₂×Q₈	C₂⁷	1	8	yes	—
1257	C₂×D₄	C₂²×AGL(1,ℤ/8)	1	384	yes	—
1258	C₂×D₄	C₂²×AGL(1,ℤ/8)	1	512	yes	complemented
1259	C₂×D₄	C₂⁴×D₄	1	64	yes	—
1260	C₂×D₄	C₂⁴×D₄	1	128	yes	—
1261	C₂×D₄	C₂×#585	1	48	yes	complemented
1262	C₂×D₄	C₂⁷	1	16	yes	—
1263	C₂×D₄	C₂⁷	1	32	yes	—
1264	C₂×D₄	C₂⁷	1	8	yes	—
1265	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	16	yes	—
1266	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	96	yes	—
1267	C₂²×C₄	#3585	1	8	yes	—
1268	C₂²×C₄	C₂⁴×D₄	1	3	yes	—
1269	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1270	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1271	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
1272	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1273	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
1274	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1275	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
1276	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
1277	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
1278	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1279	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
1280	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1281	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1282	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1283	C₂²×C₄	C₂⁴×D₄	1	48	yes	—
1284	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
1285	C₂²×C₄	C₂⁴×D₄	1	64	yes	—
1286	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1287	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
1288	C₂²×C₄	C₂⁴×D₄	1	12	yes	—
1289	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1290	C₂²×C₄	C₂⁴×D₄	1	16	yes	—
1291	C₂²×C₄	C₂⁴×D₄	1	24	yes	—
1292	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1293	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1294	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1295	C₂²×C₄	C₂⁴×D₄	1	64	yes	—
1296	C₂²×C₄	C₂⁴×D₄	1	64	yes	—
1297	C₂²×C₄	C₂⁴×D₄	1	64	yes	—
1298	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1299	C₂²×C₄	C₂⁴×D₄	1	64	yes	—
1300	C₂²×C₄	C₂⁴×D₄	1	32	yes	—
1301	C₂²×C₄	C₂×#585	1	8	yes	—
1302	C₂²×C₄	C₂⁷	1	3	yes	—
1303	C₂²×C₄	C₂⁷	1	4	yes	—
1304	C₂²×C₄	C₂⁷	1	16	yes	—
1305	C₂²×C₄	C₂⁷	1	8	yes	—
1306	C₂×C₈	C₂⁷	1	64	yes	—
1307	C₄⋊C₄	C₂⁴×D₄	1	64	yes	—
1308	C₄⋊C₄	C₂⁴×D₄	1	128	yes	—
1309	C₄⋊C₄	C₂⁴×D₄	1	64	yes	—
1310	C₄⋊C₄	C₂⁴×D₄	1	128	yes	—
1311	C₄⋊C₄	C₂⁷	1	8	yes	—
1312	C₄⋊C₄	C₂⁷	1	16	yes	—
1313	C₄⋊C₄	C₂⁷	1	8	yes	—
1314	C₄⋊C₄	C₂⁷	1	32	yes	—
1315	C₂²⋊C₄	C₂⁴×D₄	1	128	yes	—
1316	C₂²⋊C₄	C₂⁴×D₄	1	128	yes	—
1317	C₂²⋊C₄	C₂⁴×D₄	1	128	yes	—
1318	C₄²	C₂⁴×D₄	1	12	yes	—
1319	C₄²	C₂⁴×D₄	1	16	yes	—
1320	C₄²	C₂⁴×D₄	1	12	yes	—
1321	C₄²	C₂⁴×D₄	1	16	yes	—
1322	C₄²	C₂⁴×D₄	1	64	yes	—
1323	C₄²	C₂⁴×D₄	1	64	yes	—
1324	C₄²	C₂⁴×D₄	1	32	yes	—
1325	C₄²	C₂⁴×D₄	1	32	yes	—
1326	C₄²	C₂⁴×D₄	1	32	yes	—
1327	C₄²	C₂⁴×D₄	1	24	yes	—
1328	C₄²	C₂⁴×D₄	1	32	yes	—
1329	C₄²	C₂⁴×D₄	1	32	yes	—
1330	C₄²	C₂⁴×D₄	1	64	yes	—
1331	C₄²	C₂⁴×D₄	1	48	yes	—
1332	C₄²	C₂⁴×D₄	1	64	yes	—
1333	C₄²	C₂⁴×D₄	1	64	yes	—
1334	C₄²	C₂⁷	1	8	yes	—
1335	C₄²	C₂⁷	1	4	yes	—
1336	C₄²	C₂⁷	1	16	yes	—
1337	C₄²	C₂⁷	1	4	yes	—
1338	C₂³	#62811	1	4	yes	—
1339	C₂³	C₂³×AGL(1,ℤ/8)	1	4	yes	—
1340	C₂³	C₂³×AGL(1,ℤ/8)	1	24	yes	—
1341	C₂³	C₂³×AGL(1,ℤ/8)	1	96	yes	—
1342	C₂³	C₂³×AGL(1,ℤ/8)	1	128	yes	—
1343	C₂³	C₂×#3585	1	4	yes	—
1344	C₂³	C₂⁵×D₄	1	3	yes	—
1345	C₂³	C₂⁵×D₄	1	16	yes	—
1346	C₂³	C₂⁵×D₄	1	4	yes	—
1347	C₂³	C₂⁵×D₄	1	8	yes	—
1348	D₄	C₂³×AGL(1,ℤ/8)	1	256	yes	—
1349	D₄	C₂²×#585	1	16	yes	complemented
1350	C₂×C₄	#62811	1	12	yes	—
1351	C₂×C₄	C₂³×AGL(1,ℤ/8)	1	48	yes	—
1352	C₂×C₄	C₂³×AGL(1,ℤ/8)	1	64	yes	—
1353	C₂×C₄	C₂×#3585	1	24	yes	—
1354	C₂×C₄	C₂⁵×D₄	1	8	yes	—
1355	C₂×C₄	C₂⁵×D₄	1	4	yes	—
1356	C₂×C₄	C₂⁵×D₄	1	3	yes	—
1357	C₂×C₄	C₂⁵×D₄	1	4	yes	—
1358	C₂×C₄	C₂⁵×D₄	1	4	yes	—
1359	C₂×C₄	C₂⁵×D₄	1	4	yes	—
1360	C₂×C₄	C₂⁵×D₄	1	4	yes	—
1361	C₂×C₄	C₂⁵×D₄	1	16	yes	—
1362	C₂×C₄	C₂⁵×D₄	1	8	yes	—
1363	C₂×C₄	C₂⁵×D₄	1	8	yes	—
1364	C₂×C₄	C₂⁵×D₄	1	16	yes	—
1365	C₂×C₄	C₂⁵×D₄	1	16	yes	—
1366	C₂×C₄	C₂²×#585	1	12	yes	—
1367	C₂×C₄	C₂⁸	1	1	yes	characteristic
1368	C₂²	#10580317	1	16	yes	direct product factor
1369	C₂²	C₂×#62811	1	6	yes	—
1370	C₂²	C₂⁴×AGL(1,ℤ/8)	1	8	yes	—
1371	C₂²	C₂⁴×AGL(1,ℤ/8)	1	32	yes	—
1372	C₂²	C₂⁴×AGL(1,ℤ/8)	1	6	yes	—
1373	C₂²	C₂²×#3585	1	6	yes	—
1374	C₂²	C₂⁶×D₄	1	1	yes	characteristic
1375	C₄	C₂×#62811	1	6	yes	—
1376	C₄	C₂⁴×AGL(1,ℤ/8)	1	16	yes	—
1377	C₄	C₂²×#3585	1	8	yes	—
1378	C₄	C₂³×#585	1	2	yes	—
1379	C₂	C₂³×#3585	1	1	yes	characteristic
1380	C₂	C₂×#10580317	1	12	yes	direct product factor
1381	C₂	C₂²×#62811	1	1	yes	characteristic
1382	C₂	C₂⁵×AGL(1,ℤ/8)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁴×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁸
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ C₂³×C₄×#41 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#60282	C₂	semidirect
2. C₂²×#61697	C₂	semidirect
3. C₂²×#62128	C₂	semidirect
4. C₂²×#61979	C₂	semidirect
5. C₂²×#61825	C₂	semidirect
6. C₂²×#60958	C₂	semidirect
7. C₂²×#61707	C₂	semidirect
8. C₂²×#61569	C₂	semidirect
9. C₂²×#61891	C₂	semidirect
10. C₂²×#60561	C₂	semidirect
11. C₂²×#60968	C₂	semidirect
12. C₂³×#3481	C₂	semidirect
13. C₂²×#62812	C₂	semidirect
14. C₂³×#3109	C₂	semidirect
15. C₂²×#61559	C₂	semidirect
16. C₂×#10580317	C₂	direct (N × H)
17. C₂²×#61451	C₂	semidirect
18. C₂×#62812	C₂²	semidirect
19. C₂²×#3499	C₂²	semidirect
20. C₂²×#3498	C₂²	semidirect
21. C₂²×#3497	C₂²	semidirect
23. C₂²×#3496	C₂²	semidirect
24. C₂²×#3481	C₂²	semidirect
25. C₂²×#3481	C₂²	semidirect
26. C₂²×#3481	C₂²	semidirect
27. C₂³×#559	C₂²	semidirect
28. C₂³×#553	C₂²	semidirect
29. C₂³×#554	C₂²	semidirect
30. C₂³×#554	C₂²	semidirect
31. C₂²×D₄×#41	C₂²	semidirect
32. C₂³×#546	C₂²	semidirect
33. C₂³×D₄²	C₂²	semidirect
34. C₂³×#532	C₂²	semidirect
35. C₂³×#532	C₂²	semidirect
36. C₂³×#532	C₂²	semidirect
37. C₂³×#529	C₂²	semidirect
39. C₂³×C₄×#41	C₂²	semidirect
40. C₂⁴×C₄×D₄	C₂²	semidirect
41. #10580317	C₂²	direct (N × H)
42. C₂×#62128	C₂²	semidirect
43. C₂×#61979	C₂²	semidirect
44. C₂×#61891	C₂²	semidirect
45. C₂×#61825	C₂²	semidirect
46. C₂×#61707	C₂²	semidirect
47. C₂×#61697	C₂²	semidirect
48. C₂×#61569	C₂²	semidirect
49. C₂×#61559	C₂²	semidirect
50. C₂×#61451	C₂²	semidirect
51. C₂²×#3399	C₂²	semidirect
52. C₂²×#3335	C₂²	semidirect
53. C₂²×#3345	C₂²	semidirect
54. C₂²×#3373	C₂²	semidirect
55. C₂²×#3366	C₂²	semidirect
56. C₂²×#3295	C₂²	semidirect
57. C₂²×#3294	C₂²	semidirect
58. C₂²×#3318	C₂²	semidirect
59. C₂²×#3306	C₂²	semidirect
60. C₂²×#3384	C₂²	semidirect
61. C₂²×#3264	C₂²	semidirect
62. C₂²×D₄×D₈	C₂²	semidirect
63. C₂×#60968	C₂²	semidirect
64. C₂×#60958	C₂²	semidirect
65. C₂²×#3238	C₂²	semidirect
66. C₂²×#3234	C₂²	semidirect
67. C₂²×#3227	C₂²	semidirect
68. C₂²×#3227	C₂²	semidirect
69. C₂²×#3253	C₂²	semidirect
70. C₂²×#3247	C₂²	semidirect
71. C₂²×#3217	C₂²	semidirect
72. C₂²×#3213	C₂²	semidirect
73. C₂²×#3205	C₂²	semidirect
74. C₂²×#3205	C₂²	semidirect
75. C₂²×#3192	C₂²	semidirect
76. C₂²×#3187	C₂²	semidirect
77. C₂²×#3186	C₂²	semidirect
78. C₂²×#3184	C₂²	semidirect
79. C₂²×#3180	C₂²	semidirect
80. C₂×#60561	C₂²	semidirect
81. C₂²×#3112	C₂²	semidirect
82. C₂²×#3109	C₂²	semidirect
83. C₂²×#3109	C₂²	semidirect
84. C₂²×#3109	C₂²	semidirect
85. C₂²×#3109	C₂²	semidirect
86. C₂²×#3109	C₂²	semidirect
87. C₂²×#3109	C₂²	semidirect
88. C₂²×#3109	C₂²	semidirect
89. C₂²×#3109	C₂²	semidirect
90. C₂²×#3115	C₂²	semidirect
91. C₂²×#3114	C₂²	semidirect
92. C₂²×#3106	C₂²	semidirect
93. C₂²×#3103	C₂²	semidirect
94. C₂²×#3100	C₂²	semidirect
95. C₂³×#481	C₂²	semidirect
96. C₂²×#3094	C₂²	semidirect
97. C₂²×#3079	C₂²	semidirect
98. C₂³×#476	C₂²	semidirect
99. C₂²×#3038	C₂²	semidirect
100. C₂³×#459	C₂²	semidirect
101. C₂²×#3006	C₂²	semidirect
102. C₂³×#447	C₂²	semidirect
103. C₂×#60282	C₂²	semidirect
104. C₂²×#2990	C₂²	semidirect
105. C₂²×#2983	C₂²	semidirect
106. C₂²×#2973	C₂²	semidirect
107. C₂²×#2972	C₂²	semidirect
108. C₂²×#2970	C₂²	semidirect
109. C₂²×C₄×AGL(1,ℤ/8)	C₂²	semidirect
110. C₂³×#442	C₂²	semidirect
111. C₂²×#2920	C₂²	semidirect
112. C₂³×#432	C₂²	semidirect
118. #62812	C₂³	semidirect
119. C₂×#3499	C₂³	semidirect
120. C₂×#3498	C₂³	semidirect
121. C₂×#3497	C₂³	semidirect
123. C₂×#3496	C₂³	semidirect
124. C₂×#3481	C₂³	semidirect
125. C₂×#3481	C₂³	semidirect
126. C₂×#3481	C₂³	semidirect
128. C₂²×#559	C₂³	semidirect
130. C₂²×#553	C₂³	semidirect
133. C₂²×#554	C₂³	semidirect
134. C₂²×#554	C₂³	semidirect
135. C₂×D₄×#41	C₂³	semidirect
136. C₂²×#550	C₂³	semidirect
138. C₂²×#547	C₂³	semidirect
140. C₂²×#546	C₂³	semidirect
141. C₂²×D₄×Q₈	C₂³	semidirect
144. C₂²×D₄²	C₂³	semidirect
145. C₂²×D₄²	C₂³	semidirect
151. C₂²×#532	C₂³	semidirect
152. C₂²×#532	C₂³	semidirect
153. C₂²×#532	C₂³	semidirect
154. C₂²×#532	C₂³	semidirect
155. C₂²×#532	C₂³	semidirect
156. C₂²×#532	C₂³	semidirect
157. C₂²×#532	C₂³	semidirect
159. C₂³×C₄⋊Q₈	C₂³	semidirect
160. C₂³×C₄⋊Q₈	C₂³	semidirect
162. C₂³×#127	C₂³	semidirect
163. C₂³×#127	C₂³	semidirect
166. C₂²×#529	C₂³	semidirect
182. C₂²×C₄×#41	C₂³	semidirect
198. C₂³×C₄×D₄	C₂³	semidirect
199. C₂³×C₄×D₄	C₂³	semidirect
200. C₂³×C₄×D₄	C₂³	semidirect
207. #62128	C₂³	semidirect
208. #61979	C₂³	semidirect
209. #61891	C₂³	semidirect
210. #61825	C₂³	semidirect
211. #61707	C₂³	semidirect
212. #61697	C₂³	semidirect
213. #61569	C₂³	semidirect
214. #61559	C₂³	semidirect
215. #61451	C₂³	semidirect
216. C₂×#3399	C₂³	semidirect
217. C₂×#3384	C₂³	semidirect
218. C₂×#3373	C₂³	semidirect
219. C₂×#3366	C₂³	semidirect
220. C₂×#3345	C₂³	semidirect
221. C₂×#3335	C₂³	semidirect
222. C₂×#3318	C₂³	semidirect
223. C₂×#3306	C₂³	semidirect
224. C₂×#3295	C₂³	semidirect
225. C₂×#3294	C₂³	semidirect
226. C₂×D₄×D₈	C₂³	semidirect
227. C₂×#3264	C₂³	semidirect
228. #60968	C₂³	semidirect
229. #60958	C₂³	semidirect
230. C₂×#3253	C₂³	semidirect
231. C₂×#3247	C₂³	semidirect
232. C₂×#3238	C₂³	semidirect
233. C₂×#3234	C₂³	semidirect
234. C₂×#3227	C₂³	semidirect
235. C₂×#3227	C₂³	semidirect
236. C₂×#3217	C₂³	semidirect
237. C₂×#3213	C₂³	semidirect
238. C₂×#3205	C₂³	semidirect
239. C₂×#3205	C₂³	semidirect
240. C₂×#3192	C₂³	semidirect
241. C₂×#3187	C₂³	semidirect
242. C₂×#3186	C₂³	semidirect
243. C₂×#3184	C₂³	semidirect
244. C₂×#3180	C₂³	semidirect
245. C₂²×#501	C₂³	semidirect
246. C₂²×#498	C₂³	semidirect
247. C₂²×#496	C₂³	semidirect
249. C₂²×#490	C₂³	semidirect
250. C₂²×#489	C₂³	semidirect
252. C₂²×#486	C₂³	semidirect
253. #60561	C₂³	semidirect
254. C₂×#3112	C₂³	semidirect
255. C₂×#3109	C₂³	semidirect
256. C₂×#3109	C₂³	semidirect
257. C₂×#3109	C₂³	semidirect
258. C₂×#3109	C₂³	semidirect
259. C₂×#3109	C₂³	semidirect
260. C₂×#3109	C₂³	semidirect
261. C₂×#3109	C₂³	semidirect
262. C₂×#3109	C₂³	semidirect
263. C₂×#3115	C₂³	semidirect
264. C₂×#3114	C₂³	semidirect
265. C₂×#3106	C₂³	semidirect
266. C₂×#3103	C₂³	semidirect
267. C₂×#3100	C₂³	semidirect
268. C₂×#3094	C₂³	semidirect
271. C₂²×#481	C₂³	semidirect
272. C₂²×#481	C₂³	semidirect
273. C₂²×#481	C₂³	semidirect
274. C₂²×#482	C₂³	semidirect
275. C₂²×#483	C₂³	semidirect
278. C₂×#3079	C₂³	semidirect
279. C₂²×#477	C₂³	semidirect
280. C₂²×#475	C₂³	semidirect
281. C₂²×#478	C₂³	semidirect
284. C₂²×#476	C₂³	semidirect
285. C₂²×#476	C₂³	semidirect
286. C₂²×#476	C₂³	semidirect
287. C₂²×#476	C₂³	semidirect
289. C₂²×#469	C₂³	semidirect
291. C₂²×#465	C₂³	semidirect
292. C₂×#3038	C₂³	semidirect
293. C₂²×#460	C₂³	semidirect
294. C₂²×#460	C₂³	semidirect
295. C₂²×#463	C₂³	semidirect
300. C₂²×#459	C₂³	semidirect
301. C₂²×#459	C₂³	semidirect
302. C₂²×#459	C₂³	semidirect
303. C₂×#3006	C₂³	semidirect
306. C₂²×#450	C₂³	semidirect
311. C₂²×#447	C₂³	semidirect
312. C₂²×#447	C₂³	semidirect
313. #60282	C₂³	semidirect
314. C₂×#2990	C₂³	semidirect
315. C₂×#2983	C₂³	semidirect
316. C₂×#2973	C₂³	semidirect
317. C₂×#2972	C₂³	semidirect
318. C₂×#2970	C₂³	semidirect
319. C₂²×#446	C₂³	semidirect
320. C₂×C₄×AGL(1,ℤ/8)	C₂³	semidirect
323. C₂²×#442	C₂³	semidirect
324. C₂²×#442	C₂³	semidirect
325. C₂²×#442	C₂³	semidirect
326. C₂²×#440	C₂³	semidirect
327. C₂²×C₄×SD₁₆	C₂³	semidirect
329. C₂²×#435	C₂³	semidirect
331. C₂×#2920	C₂³	semidirect
334. C₂²×#432	C₂³	semidirect
335. C₂²×#432	C₂³	semidirect
336. C₂²×#432	C₂³	semidirect
337. C₂²×#432	C₂³	semidirect
339. C₂²×#431	C₂³	semidirect
340. C₂²×#428	C₂³	semidirect
341. C₂³×#106	C₂³	semidirect
342. C₂²×#423	C₂³	semidirect
343. C₂³×C₄⋊C₈	C₂³	semidirect
345. C₂²×#418	C₂³	semidirect
347. C₂³×#102	C₂³	semidirect
350. C₂²×C₄×M₁₆	C₂³	semidirect
351. C₂³×#97	C₂³	semidirect
380. #3499	C₂⁴	semidirect
381. #3498	C₂⁴	semidirect
382. #3497	C₂⁴	semidirect
384. #3496	C₂⁴	semidirect
385. #3481	C₂⁴	semidirect
386. #3481	C₂⁴	semidirect
388. C₂×#559	C₂⁴	semidirect
391. C₂×#554	C₂⁴	semidirect
392. C₂×#554	C₂⁴	semidirect
394. C₂×#553	C₂⁴	semidirect
395. D₄×#41	C₂⁴	semidirect
396. C₂×#550	C₂⁴	semidirect
397. C₂×D₄×Q₈	C₂⁴	semidirect
399. C₂×#547	C₂⁴	semidirect
401. C₂×#546	C₂⁴	semidirect
404. C₂×D₄²	C₂⁴	semidirect
405. C₂×D₄²	C₂⁴	semidirect
411. C₂×#532	C₂⁴	semidirect
412. C₂×#532	C₂⁴	semidirect
413. C₂×#532	C₂⁴	semidirect
414. C₂×#532	C₂⁴	semidirect
415. C₂×#532	C₂⁴	semidirect
416. C₂×#532	C₂⁴	semidirect
417. C₂×#532	C₂⁴	semidirect
423. C₂²×C₄⋊Q₈	C₂⁴	semidirect
424. C₂²×C₄⋊Q₈	C₂⁴	semidirect
430. C₂²×#127	C₂⁴	semidirect
431. C₂²×#127	C₂⁴	semidirect
434. C₂×#529	C₂⁴	semidirect
460. C₂×C₄×#41	C₂⁴	semidirect
504. C₂²×C₄×D₄	C₂⁴	semidirect
505. C₂²×C₄×D₄	C₂⁴	semidirect
506. C₂²×C₄×D₄	C₂⁴	semidirect
548. #3399	C₂⁴	semidirect
549. #3384	C₂⁴	semidirect
550. #3373	C₂⁴	semidirect
551. #3366	C₂⁴	semidirect
552. #3345	C₂⁴	semidirect
553. #3335	C₂⁴	semidirect
554. #3318	C₂⁴	semidirect
555. #3306	C₂⁴	semidirect
556. #3295	C₂⁴	semidirect
557. #3294	C₂⁴	semidirect
558. D₄×D₈	C₂⁴	semidirect
559. #3264	C₂⁴	semidirect
560. #3253	C₂⁴	semidirect
561. #3247	C₂⁴	semidirect
562. #3238	C₂⁴	semidirect
563. #3234	C₂⁴	semidirect
564. #3227	C₂⁴	semidirect
565. #3227	C₂⁴	semidirect
566. #3217	C₂⁴	semidirect
567. #3213	C₂⁴	semidirect
568. #3205	C₂⁴	semidirect
569. #3205	C₂⁴	semidirect
570. #3192	C₂⁴	semidirect
571. #3187	C₂⁴	semidirect
572. #3186	C₂⁴	semidirect
573. #3184	C₂⁴	semidirect
574. #3180	C₂⁴	semidirect
575. C₂×#501	C₂⁴	semidirect
576. C₂×#498	C₂⁴	semidirect
577. C₂×#496	C₂⁴	semidirect
579. C₂×#490	C₂⁴	semidirect
580. C₂×#489	C₂⁴	semidirect
582. C₂×#486	C₂⁴	semidirect
583. #3115	C₂⁴	semidirect
584. #3114	C₂⁴	semidirect
585. #3112	C₂⁴	semidirect
586. #3109	C₂⁴	semidirect
587. #3109	C₂⁴	semidirect
588. #3109	C₂⁴	semidirect
589. #3109	C₂⁴	semidirect
590. #3109	C₂⁴	semidirect
591. #3109	C₂⁴	semidirect
592. #3109	C₂⁴	semidirect
593. #3106	C₂⁴	semidirect
594. #3103	C₂⁴	semidirect
595. #3100	C₂⁴	semidirect
596. #3094	C₂⁴	semidirect
599. C₂×#481	C₂⁴	semidirect
600. C₂×#481	C₂⁴	semidirect
601. C₂×#481	C₂⁴	semidirect
602. C₂×#482	C₂⁴	semidirect
603. C₂×#483	C₂⁴	semidirect
606. #3079	C₂⁴	semidirect
607. C₂×#477	C₂⁴	semidirect
608. C₂×#475	C₂⁴	semidirect
609. C₂×#478	C₂⁴	semidirect
612. C₂×#476	C₂⁴	semidirect
613. C₂×#476	C₂⁴	semidirect
614. C₂×#476	C₂⁴	semidirect
615. C₂×#476	C₂⁴	semidirect
617. C₂×#469	C₂⁴	semidirect
619. C₂×#465	C₂⁴	semidirect
620. #3038	C₂⁴	semidirect
621. C₂×#460	C₂⁴	semidirect
622. C₂×#460	C₂⁴	semidirect
623. C₂×#463	C₂⁴	semidirect
628. C₂×#459	C₂⁴	semidirect
629. C₂×#459	C₂⁴	semidirect
630. C₂×#459	C₂⁴	semidirect
631. #3006	C₂⁴	semidirect
634. C₂×#450	C₂⁴	semidirect
639. C₂×#447	C₂⁴	semidirect
640. C₂×#447	C₂⁴	semidirect
641. #2990	C₂⁴	semidirect
642. #2983	C₂⁴	semidirect
643. #2973	C₂⁴	semidirect
644. #2972	C₂⁴	semidirect
645. #2970	C₂⁴	semidirect
646. C₂×#446	C₂⁴	semidirect
647. C₄×AGL(1,ℤ/8)	C₂⁴	semidirect
650. C₂×#442	C₂⁴	semidirect
651. C₂×#442	C₂⁴	semidirect
652. C₂×#442	C₂⁴	semidirect
653. C₂×#440	C₂⁴	semidirect
654. C₂×C₄×SD₁₆	C₂⁴	semidirect
656. C₂×#435	C₂⁴	semidirect
658. #2920	C₂⁴	semidirect
661. C₂×#432	C₂⁴	semidirect
662. C₂×#432	C₂⁴	semidirect
663. C₂×#432	C₂⁴	semidirect
664. C₂×#432	C₂⁴	semidirect
666. C₂×#431	C₂⁴	semidirect
667. C₂×#428	C₂⁴	semidirect
671. C₂²×#106	C₂⁴	semidirect
672. C₂×#423	C₂⁴	semidirect
676. C₂²×C₄⋊C₈	C₂⁴	semidirect
678. C₂×#418	C₂⁴	semidirect
686. C₂²×#102	C₂⁴	semidirect
692. C₂×C₄×M₁₆	C₂⁴	semidirect
695. C₂²×#97	C₂⁴	semidirect
708. C₂³×D₄	AGL(1,ℤ/8)	semidirect
763. #550	C₂⁵	semidirect
764. D₄×Q₈	C₂⁵	semidirect
766. #547	C₂⁵	semidirect
770. D₄²	C₂⁵	semidirect
776. #532	C₂⁵	semidirect
777. #532	C₂⁵	semidirect
778. #532	C₂⁵	semidirect
779. #532	C₂⁵	semidirect
785. C₂×C₄⋊Q₈	C₂⁵	semidirect
786. C₂×C₄⋊Q₈	C₂⁵	semidirect
792. C₂×#127	C₂⁵	semidirect
793. C₂×#127	C₂⁵	semidirect
865. C₂×C₄×D₄	C₂⁵	semidirect
866. C₂×C₄×D₄	C₂⁵	semidirect
942. #501	C₂⁵	semidirect
943. #498	C₂⁵	semidirect
944. #496	C₂⁵	semidirect
946. #490	C₂⁵	semidirect
947. #489	C₂⁵	semidirect
949. #486	C₂⁵	semidirect
950. #483	C₂⁵	semidirect
951. #482	C₂⁵	semidirect
954. #481	C₂⁵	semidirect
955. #481	C₂⁵	semidirect
958. #478	C₂⁵	semidirect
959. #477	C₂⁵	semidirect
962. #476	C₂⁵	semidirect
963. #476	C₂⁵	semidirect
964. #476	C₂⁵	semidirect
965. #475	C₂⁵	semidirect
967. #469	C₂⁵	semidirect
969. #465	C₂⁵	semidirect
970. #463	C₂⁵	semidirect
971. #460	C₂⁵	semidirect
972. #460	C₂⁵	semidirect
977. #459	C₂⁵	semidirect
978. #459	C₂⁵	semidirect
979. #450	C₂⁵	semidirect
986. #447	C₂⁵	semidirect
987. #446	C₂⁵	semidirect
990. #442	C₂⁵	semidirect
991. #442	C₂⁵	semidirect
992. #440	C₂⁵	semidirect
993. C₄×SD₁₆	C₂⁵	semidirect
995. #435	C₂⁵	semidirect
999. #432	C₂⁵	semidirect
1000. #432	C₂⁵	semidirect
1001. #432	C₂⁵	semidirect
1003. #431	C₂⁵	semidirect
1004. #428	C₂⁵	semidirect
1008. C₂×#106	C₂⁵	semidirect
1009. #423	C₂⁵	semidirect
1013. C₂×C₄⋊C₈	C₂⁵	semidirect
1014. #418	C₂⁵	semidirect
1023. C₂×#102	C₂⁵	semidirect
1029. C₄×M₁₆	C₂⁵	semidirect
1032. C₂×#97	C₂⁵	semidirect
1048. C₂²×D₄	C₂×AGL(1,ℤ/8)	semidirect
1053. C₂²×D₄	#585	semidirect
1258. C₂×D₄	C₂²×AGL(1,ℤ/8)	semidirect
1261. C₂×D₄	C₂×#585	semidirect
1349. D₄	C₂²×#585	semidirect
1368. C₂²	#10580317	direct (N × H)
1380. C₂	C₂×#10580317	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#60282	2
C₂²×#61697	2
C₂²×#62128	2
C₂²×#61979	2
C₂²×#61825	2
C₂²×#60958	2
C₂²×#61707	2
C₂²×#61569	2
C₂²×#61891	2
C₂²×#60561	2
C₂²×#60968	2
C₂³×#3481	2
C₂²×#62812	2
C₂³×#3109	2
C₂²×#61559	2
C₂×#10580317	2
C₂²×#61451	2

Subgroups — C22×#10580317 #72316109

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#10580317 #72316109