Subgroups — #12980899

Order 1280.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10617742	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#709	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×C₅×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615689	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615683	C₂	1	1	yes	maximal, characteristic, complemented
6	#10614260	C₂	1	1	yes	maximal, characteristic, complemented
7	#10614040	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611611	C₂	1	1	yes	maximal, characteristic, complemented
9	#10611609	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611586	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611582	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611537	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611494	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611482	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611395	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611393	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611385	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611382	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611324	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611321	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#4057	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×D₅×D₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610966	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610954	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610672	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610665	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610637	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610625	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610263	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610254	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#709	—	2	1	no	—
33	C₂×C₅×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
36	#66163	C₂²	1	1	yes	characteristic, complemented
37	#66158	C₂²	1	1	yes	characteristic, complemented
38	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
39	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
40	#66125	—	2	1	no	—
41	C₂×#4057	C₂²	1	1	yes	characteristic
42	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
43	#65915	C₂²	1	1	yes	characteristic, complemented
44	#65914	C₂²	1	1	yes	characteristic, complemented
45	#65912	C₂²	1	1	yes	characteristic, complemented
46	#65902	C₂²	1	1	yes	characteristic, complemented
47	#65890	—	2	1	no	—
48	#65888	C₂²	1	1	yes	characteristic, complemented
49	#65887	C₂²	1	1	yes	characteristic, complemented
50	#65886	—	2	1	no	—
51	#65885	C₂²	1	1	yes	characteristic
52	#65884	—	2	1	no	—
53	D₄×D₂₀	C₂²	1	1	yes	characteristic
54	#65882	C₂²	1	1	yes	characteristic
55	#65882	C₂²	1	1	yes	characteristic, complemented
56	#65881	—	2	1	no	—
57	#65881	—	2	1	no	—
58	#65881	—	2	1	no	—
59	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
61	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
62	#65874	—	2	1	no	—
63	#65873	C₂²	1	1	yes	characteristic, complemented
64	#65872	—	2	1	no	—
65	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
66	C₄×#711	C₂²	1	1	yes	characteristic, complemented
67	#65866	C₂²	1	1	yes	characteristic, complemented
68	#65865	—	2	1	no	—
69	#65863	C₂²	1	1	yes	characteristic, complemented
70	#65861	—	2	1	no	—
71	#65841	C₂²	1	1	yes	characteristic
72	#65841	C₂²	1	1	yes	characteristic, complemented
73	#65824	—	2	1	no	—
74	#65824	—	2	1	no	—
75	#65813	—	2	1	no	—
76	#65813	C₂²	1	1	yes	characteristic, complemented
77	#65811	C₂²	1	1	yes	characteristic, complemented
78	C₄×#709	C₂²	1	1	yes	characteristic
79	C₂×#4018	—	2	1	no	—
80	C₅×#442	C₂²	1	1	yes	characteristic
81	C₅×#442	C₂²	1	1	yes	characteristic, complemented
82	C₅×#440	C₂²	1	1	yes	characteristic, complemented
83	C₅×#440	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
87	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
88	C₅×#428	C₂²	1	1	yes	characteristic, complemented
89	C₅×#418	C₂²	1	1	yes	characteristic, complemented
90	C₅×#417	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
92	#65527	C₂²	1	1	yes	characteristic, complemented
93	#65527	C₂²	1	1	yes	characteristic, complemented
94	#65507	C₂²	1	1	yes	characteristic, complemented
95	#65506	C₂²	1	1	yes	characteristic
96	#65465	C₂²	1	1	yes	characteristic, complemented
97	#65464	C₂²	1	1	yes	characteristic, complemented
98	#65463	C₂²	1	1	yes	characteristic, complemented
99	#65460	C₂²	1	1	yes	characteristic, complemented
100	#65458	C₂²	1	1	yes	characteristic
101	#65458	C₂²	1	1	yes	characteristic, complemented
102	#65454	C₂²	1	1	yes	characteristic
103	#65451	C₂²	1	1	yes	characteristic, complemented
104	#65447	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65441	C₂²	1	1	yes	characteristic
107	#65439	C₂²	1	1	yes	characteristic, complemented
108	#65439	C₂²	1	1	yes	characteristic, complemented
109	D₈×Dic₅	C₂²	1	1	yes	characteristic
110	#65424	C₂²	1	1	yes	characteristic, complemented
111	#65424	C₂²	1	1	yes	characteristic, complemented
112	#65423	C₂²	1	1	yes	characteristic, complemented
113	#65423	C₂²	1	1	yes	characteristic, complemented
114	#65417	C₂²	1	1	yes	characteristic, complemented
115	#65417	C₂²	1	1	yes	characteristic, complemented
116	#65416	C₂²	1	1	yes	characteristic, complemented
117	#65416	C₂²	1	1	yes	characteristic, complemented
118	#65316	C₂²	1	1	yes	characteristic, complemented
119	C₄×#688	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic, complemented
121	#65310	C₂²	1	1	yes	characteristic, complemented
122	C₄×#687	C₂²	1	1	yes	characteristic, complemented
123	C₄×#687	C₂²	1	1	yes	characteristic, complemented
124	#65305	C₂²	1	1	yes	characteristic
125	#65305	C₂²	1	1	yes	characteristic, complemented
126	#65304	C₂²	1	1	yes	characteristic, complemented
127	C₄×#686	C₂²	1	1	yes	characteristic
128	C₄×#686	C₂²	1	1	yes	characteristic, complemented
129	C₄×#686	C₂²	1	1	yes	characteristic, complemented
130	C₄×#686	C₂²	1	1	yes	characteristic, complemented
131	#65298	C₂²	1	1	yes	characteristic, complemented
132	#65298	C₂²	1	1	yes	characteristic, complemented
133	#65297	C₂²	1	1	yes	characteristic, complemented
134	#65292	C₂²	1	1	yes	characteristic, complemented
135	#65292	C₂²	1	1	yes	characteristic, complemented
136	#65259	C₂²	1	1	yes	characteristic, complemented
137	#65257	C₂²	1	1	yes	characteristic, complemented
138	#65214	C₂²	1	1	yes	characteristic, complemented
139	#65179	C₂²	1	1	yes	characteristic, complemented
140	#65178	C₂²	1	1	yes	characteristic, complemented
141	#65174	C₂²	1	1	yes	characteristic, complemented
142	#65171	C₂²	1	1	yes	characteristic, complemented
143	#65170	C₂²	1	1	yes	characteristic, complemented
144	D₅×#107	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic, complemented
147	#65160	C₂²	1	1	yes	characteristic, complemented
148	#65159	C₂²	1	1	yes	characteristic, complemented
149	#65154	C₂²	1	1	yes	characteristic, complemented
150	#65153	C₂²	1	1	yes	characteristic, complemented
151	#65152	C₂²	1	1	yes	characteristic, complemented
152	#65151	C₂²	1	1	yes	characteristic, complemented
153	#65145	C₂²	1	1	yes	characteristic, complemented
154	#65144	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65107	C₂²	1	1	yes	characteristic, complemented
157	#65101	C₂²	1	1	yes	characteristic, complemented
158	#65098	C₂²	1	1	yes	characteristic, complemented
159	#65096	C₂²	1	1	yes	characteristic, complemented
160	#65094	C₂²	1	1	yes	characteristic, complemented
161	#65084	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic, complemented
164	#65074	C₂²	1	1	yes	characteristic, complemented
165	#65071	C₂²	1	1	yes	characteristic, complemented
166	#65070	C₂²	1	1	yes	characteristic, complemented
167	#65068	C₂²	1	1	yes	characteristic, complemented
168	#65067	C₂²	1	1	yes	characteristic, complemented
169	#65065	C₂²	1	1	yes	characteristic
170	#65063	C₂²	1	1	yes	characteristic, complemented
171	#65062	C₂²	1	1	yes	characteristic
172	#65062	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	D₅×#102	C₂²	1	1	yes	characteristic
176	D₅×#102	C₂²	1	1	yes	characteristic, complemented
177	#65055	C₂²	1	1	yes	characteristic, complemented
178	#65053	C₂²	1	1	yes	characteristic, complemented
179	#65051	C₂²	1	1	yes	characteristic, complemented
180	#65050	C₂²	1	1	yes	characteristic, complemented
181	#65050	C₂²	1	1	yes	characteristic, complemented
182	#65049	C₂²	1	1	yes	characteristic, complemented
183	#65048	C₂²	1	1	yes	characteristic, complemented
184	#65046	C₂²	1	1	yes	characteristic, complemented
185	#65045	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65003	C₂²	1	1	yes	characteristic, complemented
188	#65002	C₂²	1	1	yes	characteristic, complemented
189	#65001	C₂²	1	1	yes	characteristic, complemented
190	#64995	C₂²	1	1	yes	characteristic, complemented
191	#64995	C₂²	1	1	yes	characteristic, complemented
192	#64991	C₂²	1	1	yes	characteristic, complemented
193	#64990	C₂²	1	1	yes	characteristic, complemented
194	#64990	C₂²	1	1	yes	characteristic, complemented
195	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
196	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
197	C₄×#677	C₂²	1	1	yes	characteristic, complemented
198	C₄×#677	C₂²	1	1	yes	characteristic, complemented
199	C₄×#676	C₂²	1	1	yes	characteristic, complemented
200	#64974	C₂²	1	1	yes	characteristic, complemented
201	#64974	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#61437	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₅	—	2	1	no	—
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×#709	—	2	1	no	—
214	C₂×#709	—	2	1	no	—
215	C₂×#709	—	2	1	no	—
216	C₂×#709	—	2	1	no	—
217	C₂×#709	—	2	1	no	—
218	C₂×#709	—	2	1	no	—
219	C₂×#709	—	2	1	no	—
220	C₂×#709	—	4	8	no	—
221	C₂×#709	D₄	1	1	yes	characteristic
222	C₂²×D₂₀	—	2	1	no	—
223	C₂²×C₄×D₅	—	2	1	no	—
224	C₂²×C₄×D₅	—	2	1	no	—
225	C₂²×C₄×D₅	—	2	1	no	—
226	C₂²×Dic₁₀	—	2	1	no	—
227	C₅×AGL(1,ℤ/8)	—	2	4	no	—
228	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
232	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	—	2	1	no	—
237	C₄×C₅×D₄	—	2	1	no	—
238	C₄×C₅×D₄	—	2	1	no	—
239	C₄×C₅×D₄	—	2	1	no	—
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
245	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
246	C₅×#117	—	2	1	no	—
247	C₅×#117	C₂³	1	1	yes	characteristic
248	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₄²×C₅	—	2	1	no	—
251	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
252	#4099	—	2	1	no	—
253	#4099	—	2	1	no	—
254	#4093	C₂³	1	1	yes	characteristic
255	#4092	C₂³	1	1	yes	characteristic
256	#4092	C₂³	1	1	yes	characteristic
257	#4090	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	#4086	C₂³	1	1	yes	characteristic
261	#4086	C₂³	1	1	yes	characteristic
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4084	C₂³	1	1	yes	characteristic
267	#4084	C₂³	1	1	yes	characteristic
268	#4083	—	2	1	no	—
269	#4083	—	2	1	no	—
270	#4083	—	2	1	no	—
271	#4081	—	2	1	no	—
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	D₄×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×#687	C₂³	1	1	yes	characteristic
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	#4076	—	2	1	no	—
283	#4076	—	2	1	no	—
284	#4076	—	2	1	no	—
285	#4076	—	2	1	no	—
286	#4076	C₂³	1	1	yes	characteristic
287	#4076	C₂³	1	1	yes	characteristic
288	#4076	C₂³	1	1	yes	characteristic
289	#4075	—	2	1	no	—
290	#4075	—	2	1	no	—
291	#4075	—	2	1	no	—
292	#4075	—	2	1	no	—
293	#4075	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	C₄×C₂²⋊D₅	—	2	1	no	—
296	C₄×C₂²⋊D₅	—	2	1	no	—
297	C₄×C₂²⋊D₅	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	—	2	1	no	—
301	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
302	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
303	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
304	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
305	C₂×#685	—	2	1	no	—
306	C₂×#685	—	2	1	no	—
307	#4072	D₄	1	1	yes	characteristic
308	#4070	—	2	1	no	—
309	#4070	—	2	1	no	—
310	#4070	—	2	1	no	—
311	#4070	C₂³	1	1	yes	characteristic
312	C₂×#683	—	2	1	no	—
313	C₂×#683	—	2	1	no	—
314	C₂×C₄×Dic₅	—	2	1	no	—
315	#4057	—	2	4	no	—
316	D₅×D₈	—	2	4	no	—
317	C₂×D₄₀	C₂³	1	1	yes	characteristic
318	C₂×D₄₀	C₂³	1	1	yes	characteristic
319	C₂×#677	C₂³	1	1	yes	characteristic
320	C₂×#677	C₂³	1	1	yes	characteristic
321	C₂×#676	C₂³	1	1	yes	characteristic
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	#4044	—	2	1	no	—
326	#4044	—	2	1	no	—
327	#4043	C₂³	1	1	yes	characteristic
328	#4042	—	2	1	no	—
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4041	C₂³	1	1	yes	characteristic
333	#4041	C₂³	1	1	yes	characteristic
334	#4041	C₂³	1	1	yes	characteristic
335	#4040	—	2	1	no	—
336	#4040	—	2	1	no	—
337	#4040	—	2	1	no	—
338	#4040	—	2	1	no	—
339	#4039	C₂³	1	1	yes	characteristic
340	#4039	C₂³	1	1	yes	characteristic
341	#4039	C₂³	1	1	yes	characteristic
342	#4038	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	#4036	C₂³	1	1	yes	characteristic
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4034	C₂³	1	1	yes	characteristic
350	#4034	C₂³	1	1	yes	characteristic
351	#4034	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4030	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4029	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4029	—	2	1	no	—
365	#4028	—	2	1	no	—
366	#4028	—	2	1	no	—
367	#4028	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4022	—	2	1	no	—
383	#4022	—	2	1	no	—
384	#4021	—	2	1	no	—
385	#4021	—	2	1	no	—
386	#4021	C₂³	1	1	yes	characteristic
387	#4020	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	—	2	1	no	—
390	C₄×D₂₀	D₄	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	#4018	—	2	1	no	—
400	#4018	—	2	1	no	—
401	#4018	—	2	1	no	—
402	#4018	D₄	1	1	yes	characteristic
403	#4018	D₄	1	1	yes	characteristic
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	#4016	—	2	1	no	—
407	#4016	C₂³	1	1	yes	characteristic
408	#4015	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	D₄	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#106	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#97	C₂³	1	1	yes	characteristic
426	C₅×#97	C₂³	1	1	yes	characteristic
427	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
428	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	C₂²⋊#168	C₂³	1	1	yes	characteristic
438	C₂²⋊#168	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3947	C₂³	1	1	yes	characteristic
456	#3947	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	C₄⋊#168	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	C₄×#168	C₂³	1	1	yes	characteristic
483	#3475	—	5	1	no	—
484	D₄×#41	—	5	1	no	—
485	#3397	—	5	1	no	—
486	#3384	—	5	1	no	—
487	#3367	—	5	1	no	—
488	#3366	—	5	1	no	—
489	#3354	—	5	1	no	—
490	#3343	—	5	1	no	—
491	#3343	—	5	1	no	—
492	#3330	—	5	1	no	—
493	#3325	—	5	1	no	—
494	#3310	—	5	1	no	—
495	#3310	—	5	1	no	—
496	#3306	—	5	1	no	—
497	#3306	—	5	1	no	—
498	#3272	—	5	1	no	—
499	#3264	—	5	1	no	—
500	#3264	—	5	1	no	—
501	#3171	—	5	1	no	—
502	#3171	—	5	1	no	—
503	#3167	—	5	1	no	—
504	#3106	—	5	1	no	—
505	#3106	—	5	1	no	—
506	#3105	—	5	1	no	—
507	#3105	—	5	1	no	—
508	#3101	—	5	1	no	—
509	#3100	—	5	1	no	—
510	#2965	—	5	1	no	—
511	C₄×AGL(1,ℤ/8)	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	D₅	1	1	yes	characteristic, complemented
513	C₂×C₄×D₈	—	5	1	no	—
514	C₂⁴×C₅	—	2	1	no	—
515	C₂³×D₅	—	2	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₅×#41	—	2	2	no	—
519	C₅×#41	—	4	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	2	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	4	1	no	—
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	4	4	no	—
537	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	4	4	no	—
554	C₂×C₂²⋊D₅	—	4	4	no	—
555	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	#711	—	2	2	no	—
563	#711	—	4	1	no	—
564	D₄×D₅	—	2	2	no	—
565	D₄×D₅	—	2	2	no	—
566	D₄×D₅	—	2	2	no	—
567	D₄×D₅	—	4	1	no	—
568	D₄×D₅	—	4	1	no	—
569	D₄×D₅	—	4	1	no	—
570	#709	—	2	4	no	—
571	#709	—	4	4	no	—
572	#709	—	4	4	no	—
573	#709	—	4	4	no	—
574	#709	—	4	4	no	—
575	#709	—	4	4	no	—
576	#709	—	4	4	no	—
577	#709	—	4	4	no	—
578	C₂×D₂₀	—	2	1	no	—
579	C₂×D₂₀	—	2	1	no	—
580	C₂×D₂₀	—	2	1	no	—
581	C₂×D₂₀	—	2	1	no	—
582	C₂×D₂₀	—	2	1	no	—
583	C₂×D₂₀	—	4	4	no	—
584	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
585	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
586	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
587	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	2	1	no	—
593	C₂×C₄×D₅	—	2	1	no	—
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	2	1	no	—
596	C₂×C₄×D₅	—	2	1	no	—
597	C₂×C₄×D₅	—	4	4	no	—
598	C₂×C₄×D₅	—	4	4	no	—
599	C₂×C₄×D₅	—	4	4	no	—
600	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
606	C₂×Dic₁₀	—	2	1	no	—
607	C₂×Dic₁₀	—	2	1	no	—
608	C₂×Dic₁₀	—	2	1	no	—
609	C₂×Dic₁₀	—	2	1	no	—
610	C₂×Dic₁₀	—	4	4	no	—
611	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
612	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
613	C₅×SD₁₆	—	2	2	no	—
614	C₅×SD₁₆	—	2	2	no	—
615	C₅×D₈	—	2	2	no	—
616	C₅×D₈	#41	1	4	yes	complemented
617	C₅×M₁₆	—	2	2	no	—
618	C₅×M₁₆	—	4	1	no	—
619	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
623	C₅×C₄⋊C₄	—	2	1	no	—
624	C₅×C₄⋊C₄	—	2	1	no	—
625	C₅×C₄⋊C₄	—	2	1	no	—
626	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₅×C₂²⋊C₄	—	2	1	no	—
636	C₅×C₂²⋊C₄	—	2	1	no	—
637	C₄²×C₅	—	2	1	no	—
638	C₄²×C₅	—	2	1	no	—
639	C₄²×C₅	—	2	1	no	—
640	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
642	C₄²×C₅	C₂⁴	1	1	yes	characteristic
643	C₄²×C₅	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	—	2	1	no	—
649	C₂²⋊Dic₅	—	2	1	no	—
650	C₂²⋊Dic₅	—	2	1	no	—
651	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	#688	—	4	1	no	—
654	#688	—	4	1	no	—
655	#687	—	2	2	no	—
656	#687	—	4	1	no	—
657	#686	—	2	2	no	—
658	#686	—	2	2	no	—
659	#686	—	2	2	no	—
660	#686	—	4	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	C₂×D₄	1	1	yes	characteristic
682	#685	C₂×D₄	1	1	yes	characteristic
683	#685	C₂×D₄	1	1	yes	characteristic
684	#685	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₅	—	2	1	no	—
686	C₄⋊Dic₅	—	2	1	no	—
687	C₄⋊Dic₅	—	2	1	no	—
688	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	C₂×D₄	1	1	yes	characteristic
711	#683	C₂×D₄	1	1	yes	characteristic
712	#683	C₂×D₄	1	1	yes	characteristic
713	#683	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	D₄₀	—	2	2	no	—
728	D₄₀	—	4	1	no	—
729	#677	—	2	2	no	—
730	#677	—	4	1	no	—
731	#676	—	2	2	no	—
732	#676	—	4	1	no	—
733	C₈×D₅	—	2	2	no	—
734	C₈×D₅	—	4	1	no	—
735	C₂²×#41	—	10	1	no	—
736	C₂×AGL(1,ℤ/8)	—	5	1	no	—
737	C₂×AGL(1,ℤ/8)	C₂×D₅	1	1	yes	characteristic
738	C₂²×D₈	—	5	1	no	—
739	#556	—	5	1	no	—
740	#555	—	5	1	no	—
741	#554	—	5	1	no	—
742	#553	—	10	1	no	—
743	#552	—	5	1	no	—
744	#552	—	5	1	no	—
745	#552	—	10	1	no	—
746	#551	—	10	1	no	—
747	#551	—	10	1	no	—
748	#550	—	5	1	no	—
749	D₄×Q₈	—	5	1	no	—
750	#548	—	10	1	no	—
751	#547	—	5	1	no	—
752	#547	—	5	1	no	—
753	#547	—	5	1	no	—
754	#547	—	5	1	no	—
755	#546	—	5	1	no	—
756	#546	—	5	1	no	—
757	#546	—	10	1	no	—
758	#546	—	10	1	no	—
759	#546	—	10	1	no	—
760	D₄²	—	5	1	no	—
761	D₄²	—	5	1	no	—
762	D₄²	—	5	1	no	—
763	#533	—	5	1	no	—
764	#532	—	5	1	no	—
765	#532	—	5	1	no	—
766	#532	—	5	1	no	—
767	#529	—	5	1	no	—
768	#529	—	5	1	no	—
769	#529	—	10	1	no	—
770	#529	—	10	1	no	—
771	#525	—	10	1	no	—
772	#525	—	10	1	no	—
773	#525	—	10	1	no	—
774	#525	—	10	1	no	—
775	C₄×#41	—	5	1	no	—
776	C₄×#41	—	5	1	no	—
777	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
778	C₂×C₄×D₄	—	5	1	no	—
779	C₂×C₄×D₄	—	5	1	no	—
780	C₂×C₄×D₄	—	5	1	no	—
781	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
782	C₂×#117	—	10	1	no	—
783	#501	—	5	1	no	—
784	#501	—	5	1	no	—
785	#498	—	5	1	no	—
786	#496	—	5	1	no	—
787	#496	—	5	1	no	—
788	#492	—	5	1	no	—
789	#490	—	5	1	no	—
790	#490	—	5	1	no	—
791	#489	—	5	1	no	—
792	#489	—	5	1	no	—
793	#487	—	5	1	no	—
794	#486	—	5	1	no	—
795	#484	—	5	1	no	—
796	#484	—	5	1	no	—
797	#483	—	5	1	no	—
798	#483	—	5	1	no	—
799	#482	—	5	1	no	—
800	#482	—	5	1	no	—
801	#482	—	5	1	no	—
802	#482	—	5	1	no	—
803	#481	—	5	1	no	—
804	#481	—	5	1	no	—
805	#480	—	5	1	no	—
806	#480	—	5	1	no	—
807	#478	—	5	1	no	—
808	#478	—	5	1	no	—
809	#478	—	5	1	no	—
810	#478	—	5	1	no	—
811	#477	—	5	1	no	—
812	#477	—	5	1	no	—
813	#476	—	5	1	no	—
814	#476	—	5	1	no	—
815	#476	—	5	1	no	—
816	#476	—	5	1	no	—
817	#474	—	5	1	no	—
818	#474	—	5	1	no	—
819	#469	—	5	1	no	—
820	#469	—	5	1	no	—
821	#469	—	5	1	no	—
822	#469	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#468	—	5	1	no	—
826	#468	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	—	5	1	no	—
829	#465	—	5	1	no	—
830	#465	—	5	1	no	—
831	#463	—	5	1	no	—
832	#463	—	5	1	no	—
833	#463	—	5	1	no	—
834	#463	—	5	1	no	—
835	#461	—	5	1	no	—
836	#461	—	5	1	no	—
837	#460	—	5	1	no	—
838	#460	—	5	1	no	—
839	#459	—	5	1	no	—
840	#459	—	5	1	no	—
841	#459	—	5	1	no	—
842	#459	—	5	1	no	—
843	#450	—	5	1	no	—
844	#450	—	5	1	no	—
845	#450	—	5	1	no	—
846	#450	—	5	1	no	—
847	#449	—	5	1	no	—
848	#449	—	5	1	no	—
849	#449	—	5	1	no	—
850	#449	—	5	1	no	—
851	#447	—	5	1	no	—
852	#447	—	5	1	no	—
853	#447	—	5	1	no	—
854	#447	—	5	1	no	—
855	#446	—	5	1	no	—
856	#446	—	5	1	no	—
857	#442	—	5	1	no	—
858	#442	—	5	1	no	—
859	#442	C₂×D₅	1	1	yes	characteristic
860	#442	C₂×D₅	1	1	yes	characteristic, complemented
861	#440	—	5	1	no	—
862	#440	—	5	1	no	—
863	#440	C₂×D₅	1	1	yes	characteristic, complemented
864	#440	C₂×D₅	1	1	yes	characteristic, complemented
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
872	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₄×D₈	—	5	1	no	—
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	—	5	1	no	—
880	C₄×D₈	—	5	1	no	—
881	C₄×D₈	—	5	1	no	—
882	C₄×D₈	—	5	1	no	—
883	C₄×D₈	C₂×D₅	1	1	yes	characteristic
884	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
885	#436	—	5	1	no	—
886	#436	—	5	1	no	—
887	#435	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#431	—	5	1	no	—
892	#431	—	5	1	no	—
893	#431	—	5	1	no	—
894	#428	—	5	1	no	—
895	#428	C₂×D₅	1	1	yes	characteristic, complemented
896	C₂×#107	—	5	1	no	—
897	#418	—	5	1	no	—
898	#418	C₂×D₅	1	1	yes	characteristic, complemented
899	#417	—	5	1	no	—
900	#417	C₂×D₅	1	1	yes	characteristic, complemented
901	C₂×#102	—	5	1	no	—
902	C₂×#102	—	5	1	no	—
903	C₄×M₁₆	—	5	1	no	—
904	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
905	C₂×C₄×C₈	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	—	2	1	no	—
909	C₂³×C₅	—	4	2	no	—
910	C₂³×C₅	—	4	2	no	—
911	C₂³×C₅	—	8	1	no	—
912	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	2	1	no	—
916	C₂²×D₅	—	4	2	no	—
917	C₂²×D₅	—	4	2	no	—
918	C₂²×D₅	—	4	2	no	—
919	C₂²×D₅	—	4	2	no	—
920	C₂²×D₅	—	4	2	no	—
921	C₂²×D₅	—	4	2	no	—
922	C₂²×D₅	—	8	1	no	—
923	C₂²×D₅	—	8	1	no	—
924	C₂²×D₅	—	8	1	no	—
925	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
926	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	—	2	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	4	2	no	—
934	C₅×D₄	—	4	2	no	—
935	C₅×D₄	C₂×#41	1	2	yes	—
936	C₅×D₄	C₂×#41	1	2	yes	complemented
937	C₂×C₄×C₅	—	2	2	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	4	1	no	—
946	C₂×C₄×C₅	—	4	2	no	—
947	C₂×C₄×C₅	—	4	2	no	—
948	C₂×C₄×C₅	—	4	2	no	—
949	C₂×C₄×C₅	—	4	2	no	—
950	C₂×C₄×C₅	—	4	2	no	—
951	C₂×C₄×C₅	—	4	2	no	—
952	C₂×C₄×C₅	—	4	2	no	—
953	C₂×C₄×C₅	—	8	1	no	—
954	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
960	C₂²⋊D₅	—	2	2	no	—
961	C₂²⋊D₅	—	2	2	no	—
962	C₂²⋊D₅	—	4	2	no	—
963	C₂²⋊D₅	—	4	2	no	—
964	C₂²⋊D₅	—	4	2	no	—
965	C₂²⋊D₅	—	4	2	no	—
966	C₂²⋊D₅	—	4	2	no	—
967	C₂²⋊D₅	—	4	2	no	—
968	C₂²⋊D₅	—	4	2	no	—
969	C₂²⋊D₅	—	4	2	no	—
970	C₂²⋊D₅	—	4	2	no	—
971	C₂²⋊D₅	—	4	2	no	—
972	C₂²⋊D₅	—	8	1	no	—
973	C₂²⋊D₅	—	8	1	no	—
974	C₂²⋊D₅	—	8	1	no	—
975	C₂×Dic₅	—	2	1	no	—
976	C₂×Dic₅	—	2	1	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	2	1	no	—
980	C₂×Dic₅	—	4	2	no	—
981	C₂×Dic₅	—	4	2	no	—
982	C₂×Dic₅	—	4	2	no	—
983	C₂×Dic₅	—	4	2	no	—
984	C₂×Dic₅	—	8	1	no	—
985	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
991	D₂₀	—	2	2	no	—
992	D₂₀	—	2	1	no	—
993	D₂₀	—	2	1	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	2	1	no	—
996	D₂₀	—	2	1	no	—
997	D₂₀	—	2	1	no	—
998	D₂₀	—	4	2	no	—
999	D₂₀	—	4	2	no	—
1000	D₂₀	—	4	2	no	—
1001	D₂₀	—	8	1	no	—
1002	D₂₀	—	8	1	no	—
1003	C₄×D₅	—	2	2	no	—
1004	C₄×D₅	—	2	1	no	—
1005	C₄×D₅	—	2	1	no	—
1006	C₄×D₅	—	2	1	no	—
1007	C₄×D₅	—	2	1	no	—
1008	C₄×D₅	—	4	1	no	—
1009	C₄×D₅	—	4	1	no	—
1010	C₄×D₅	—	4	2	no	—
1011	C₄×D₅	—	4	2	no	—
1012	C₄×D₅	—	4	2	no	—
1013	C₄×D₅	—	4	2	no	—
1014	C₄×D₅	—	4	2	no	—
1015	C₄×D₅	—	4	2	no	—
1016	C₄×D₅	—	4	2	no	—
1017	C₄×D₅	—	4	2	no	—
1018	C₄×D₅	—	4	2	no	—
1019	C₄×D₅	AGL(1,ℤ/8)	1	4	yes	complemented
1020	Dic₁₀	—	2	2	no	—
1021	Dic₁₀	—	2	1	no	—
1022	Dic₁₀	—	2	1	no	—
1023	Dic₁₀	—	4	2	no	—
1024	Dic₁₀	—	4	2	no	—
1025	Dic₁₀	—	4	2	no	—
1026	Dic₁₀	—	8	1	no	—
1027	C₅×C₈	—	2	1	no	—
1028	C₅×C₈	—	2	1	no	—
1029	C₅×C₈	—	2	1	no	—
1030	C₅×C₈	C₂×#41	1	2	yes	complemented
1031	#168	—	2	1	no	—
1032	#168	—	2	1	no	—
1033	#168	—	2	1	no	—
1034	#168	—	2	1	no	—
1035	C₂×#41	—	5	1	no	—
1036	C₂×#41	—	5	1	no	—
1037	C₂×#41	—	10	1	no	—
1038	C₂×#41	—	10	1	no	—
1039	C₂×#41	—	10	1	no	—
1040	C₂×#41	—	10	1	no	—
1041	C₂×#41	—	10	1	no	—
1042	C₂×#41	—	10	1	no	—
1043	C₂×#41	—	10	1	no	—
1044	C₂×#41	—	20	8	no	—
1045	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1046	C₂²×Q₈	—	10	1	no	—
1047	C₂²×D₄	—	5	1	no	—
1048	C₂²×D₄	—	5	1	no	—
1049	C₂²×D₄	—	5	1	no	—
1050	C₂²×D₄	—	10	1	no	—
1051	C₂²×D₄	—	10	1	no	—
1052	C₂²×D₄	—	10	1	no	—
1053	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1054	C₂³×C₄	—	2	1	no	—
1055	C₂³×C₄	—	10	1	no	—
1056	C₂³×C₄	—	10	1	no	—
1057	C₂³×C₄	—	10	1	no	—
1058	AGL(1,ℤ/8)	—	2	4	no	—
1059	AGL(1,ℤ/8)	—	10	4	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	—	5	1	no	—
1064	C₂×SD₁₆	—	5	1	no	—
1065	C₂×SD₁₆	—	5	1	no	—
1066	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1068	C₂×D₈	—	5	1	no	—
1069	C₂×D₈	—	5	1	no	—
1070	C₂×D₈	—	5	1	no	—
1071	C₂×D₈	—	5	1	no	—
1072	C₂×D₈	—	5	1	no	—
1073	C₂×D₈	—	5	1	no	—
1074	C₂×D₈	—	10	4	no	—
1075	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1076	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1077	C₂×M₁₆	—	5	1	no	—
1078	C₂×M₁₆	—	5	1	no	—
1079	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1080	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1081	C₂²×C₈	—	5	1	no	—
1082	C₂²×C₈	—	5	1	no	—
1083	C₄⋊Q₈	—	5	1	no	—
1084	C₄⋊Q₈	—	5	1	no	—
1085	C₄⋊Q₈	—	5	1	no	—
1086	C₄⋊Q₈	—	5	1	no	—
1087	C₄⋊Q₈	—	5	1	no	—
1088	#127	—	5	1	no	—
1089	#127	—	5	1	no	—
1090	#127	—	5	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#126	—	10	1	no	—
1094	#126	—	10	1	no	—
1095	#126	—	10	1	no	—
1096	#126	—	10	1	no	—
1097	#125	—	5	1	no	—
1098	#125	—	5	1	no	—
1099	#125	—	10	1	no	—
1100	#125	—	10	1	no	—
1101	#125	—	10	1	no	—
1102	#124	—	5	1	no	—
1103	#124	—	5	1	no	—
1104	#124	—	10	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	—	10	1	no	—
1109	#123	—	10	1	no	—
1110	#123	—	10	1	no	—
1111	#123	—	10	1	no	—
1112	#123	—	10	1	no	—
1113	#123	—	10	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	C₂²⋊Q₈	—	5	1	no	—
1124	C₂²⋊Q₈	—	5	1	no	—
1125	C₂²⋊Q₈	—	5	1	no	—
1126	C₂²⋊Q₈	—	5	1	no	—
1127	C₂²⋊Q₈	—	10	1	no	—
1128	C₂²⋊Q₈	—	10	1	no	—
1129	C₂²⋊Q₈	—	10	1	no	—
1130	C₂²⋊Q₈	—	10	1	no	—
1131	C₂²⋊Q₈	—	10	1	no	—
1132	C₂²⋊Q₈	—	10	1	no	—
1133	C₂²⋊Q₈	—	10	1	no	—
1134	C₂²⋊Q₈	—	10	1	no	—
1135	C₂²⋊Q₈	—	10	1	no	—
1136	C₂²⋊Q₈	—	10	1	no	—
1137	C₂²⋊Q₈	—	10	1	no	—
1138	#121	—	5	1	no	—
1139	#121	—	5	1	no	—
1140	#121	—	5	1	no	—
1141	#121	—	5	1	no	—
1142	#121	—	5	1	no	—
1143	#121	—	5	1	no	—
1144	#121	—	5	1	no	—
1145	#121	—	5	1	no	—
1146	#121	—	10	1	no	—
1147	#121	—	10	1	no	—
1148	#121	—	10	1	no	—
1149	#121	—	10	1	no	—
1150	#121	—	10	1	no	—
1151	#121	—	10	1	no	—
1152	#121	—	10	1	no	—
1153	#121	—	10	1	no	—
1154	#121	—	10	1	no	—
1155	#121	—	10	1	no	—
1156	#121	—	10	1	no	—
1157	#121	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#120	—	10	1	no	—
1160	#120	—	10	1	no	—
1161	#120	—	10	1	no	—
1162	#120	—	10	1	no	—
1163	#120	—	10	1	no	—
1164	#120	—	10	1	no	—
1165	#120	—	10	1	no	—
1166	#120	—	10	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	5	1	no	—
1170	C₄×Q₈	—	5	1	no	—
1171	C₄×Q₈	—	10	1	no	—
1172	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1173	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	2	1	no	—
1178	C₄×D₄	—	5	1	no	—
1179	C₄×D₄	—	5	1	no	—
1180	C₄×D₄	—	5	1	no	—
1181	C₄×D₄	—	5	1	no	—
1182	C₄×D₄	—	5	1	no	—
1183	C₄×D₄	—	5	1	no	—
1184	C₄×D₄	—	5	1	no	—
1185	C₄×D₄	—	5	1	no	—
1186	C₄×D₄	—	5	1	no	—
1187	C₄×D₄	—	5	1	no	—
1188	C₄×D₄	—	5	1	no	—
1189	C₄×D₄	—	5	1	no	—
1190	C₄×D₄	—	5	1	no	—
1191	C₄×D₄	—	5	1	no	—
1192	C₄×D₄	—	5	1	no	—
1193	C₄×D₄	—	5	1	no	—
1194	C₄×D₄	—	10	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	—	10	1	no	—
1199	C₄×D₄	—	10	1	no	—
1200	C₄×D₄	—	10	1	no	—
1201	C₄×D₄	—	10	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1209	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1210	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1211	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	#117	—	2	1	no	—
1214	#117	—	5	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	5	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	C₂²×D₅	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	5	1	no	—
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	10	1	no	—
1231	C₂×C₄⋊C₄	—	10	1	no	—
1232	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1233	C₂×C₂²⋊C₄	—	2	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₂²⋊C₄	—	10	1	no	—
1239	C₂×C₄²	—	2	1	no	—
1240	C₂×C₄²	—	5	1	no	—
1241	C₂×C₄²	—	5	1	no	—
1242	C₂×C₄²	—	10	1	no	—
1243	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1244	#107	—	5	1	no	—
1245	#107	—	5	1	no	—
1246	#107	—	5	1	no	—
1247	#107	—	5	1	no	—
1248	#107	—	5	1	no	—
1249	#107	—	5	1	no	—
1250	#107	C₂²×D₅	1	1	yes	characteristic
1251	#107	C₂²×D₅	1	1	yes	characteristic
1252	#106	—	5	1	no	—
1253	#106	—	5	1	no	—
1254	#106	—	5	1	no	—
1255	#106	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	—	5	1	no	—
1258	#106	C₂²×D₅	1	1	yes	characteristic
1259	#106	C₂²×D₅	1	1	yes	characteristic
1260	C₄⋊C₈	—	5	1	no	—
1261	C₄⋊C₈	—	5	1	no	—
1262	C₄⋊C₈	—	5	1	no	—
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	—	5	1	no	—
1292	#102	C₂²×D₅	1	1	yes	characteristic
1293	#102	C₂²×D₅	1	1	yes	characteristic
1294	#102	C₂²×D₅	1	1	yes	characteristic
1295	#102	C₂²×D₅	1	1	yes	characteristic
1296	#102	C₂²×D₅	1	1	yes	characteristic
1297	#102	C₂²×D₅	1	1	yes	characteristic
1298	C₂²⋊C₈	—	5	1	no	—
1299	C₂²⋊C₈	—	5	1	no	—
1300	C₂²⋊C₈	—	5	1	no	—
1301	C₂²⋊C₈	—	5	1	no	—
1302	C₂²⋊C₈	—	5	1	no	—
1303	C₂²⋊C₈	—	5	1	no	—
1304	#97	—	5	1	no	—
1305	#97	—	5	1	no	—
1306	#97	C₂²×D₅	1	1	yes	characteristic
1307	#97	C₂²×D₅	1	1	yes	characteristic
1308	C₄×C₈	—	5	1	no	—
1309	C₄×C₈	—	5	1	no	—
1310	C₄×C₈	—	5	1	no	—
1311	C₄×C₈	—	5	1	no	—
1312	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1313	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1314	C₂²×C₅	—	2	1	no	—
1315	C₂²×C₅	—	2	2	no	—
1316	C₂²×C₅	—	2	2	no	—
1317	C₂²×C₅	—	2	1	no	—
1318	C₂²×C₅	—	2	1	no	—
1319	C₂²×C₅	—	4	1	no	—
1320	C₂²×C₅	—	4	1	no	—
1321	C₂²×C₅	—	4	1	no	—
1322	C₂²×C₅	—	4	1	no	—
1323	C₂²×C₅	—	4	1	no	—
1324	C₂²×C₅	—	4	1	no	—
1325	C₂²×C₅	—	4	1	no	—
1326	C₂²×C₅	—	8	4	no	—
1327	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1328	C₂×D₅	—	2	1	no	—
1329	C₂×D₅	—	2	1	no	—
1330	C₂×D₅	—	2	1	no	—
1331	C₂×D₅	—	2	1	no	—
1332	C₂×D₅	—	2	1	no	—
1333	C₂×D₅	—	4	1	no	—
1334	C₂×D₅	—	4	1	no	—
1335	C₂×D₅	—	4	1	no	—
1336	C₂×D₅	—	4	1	no	—
1337	C₂×D₅	—	4	1	no	—
1338	C₂×D₅	—	4	1	no	—
1339	C₂×D₅	—	4	1	no	—
1340	C₂×D₅	—	4	1	no	—
1341	C₂×D₅	—	4	1	no	—
1342	C₂×D₅	—	8	4	no	—
1343	C₂×D₅	—	8	4	no	—
1344	C₂×D₅	—	8	4	no	—
1345	C₂×D₅	C₂×AGL(1,ℤ/8)	1	2	yes	—
1346	C₄×C₅	—	2	1	no	—
1347	C₄×C₅	—	2	1	no	—
1348	C₄×C₅	—	2	1	no	—
1349	C₄×C₅	—	2	1	no	—
1350	C₄×C₅	—	4	1	no	—
1351	C₄×C₅	—	4	1	no	—
1352	C₄×C₅	—	4	1	no	—
1353	C₄×C₅	—	4	1	no	—
1354	C₄×C₅	—	4	1	no	—
1355	C₄×C₅	C₂×AGL(1,ℤ/8)	1	2	yes	—
1356	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1357	C₄×C₅	#585	1	1	yes	characteristic
1358	Dic₅	—	2	1	no	—
1359	Dic₅	—	2	1	no	—
1360	Dic₅	—	2	1	no	—
1361	Dic₅	—	2	1	no	—
1362	Dic₅	—	2	1	no	—
1363	Dic₅	—	4	1	no	—
1364	Dic₅	—	4	1	no	—
1365	Dic₅	—	4	1	no	—
1366	Dic₅	—	4	1	no	—
1367	Dic₅	—	4	1	no	—
1368	Dic₅	C₂×AGL(1,ℤ/8)	1	2	yes	—
1369	C₂⁴	—	2	1	no	—
1370	C₂⁴	—	10	1	no	—
1371	C₂⁴	—	10	1	no	—
1372	C₂⁴	—	10	1	no	—
1373	#41	—	2	2	no	—
1374	#41	—	4	1	no	—
1375	#41	—	10	4	no	—
1376	#41	—	10	2	no	—
1377	#41	—	20	4	no	—
1378	#41	—	20	4	no	—
1379	#41	—	20	4	no	—
1380	#41	—	20	4	no	—
1381	#41	—	20	4	no	—
1382	#41	—	20	4	no	—
1383	#41	—	20	4	no	—
1384	#41	—	20	1	no	—
1385	C₂×Q₈	—	5	1	no	—
1386	C₂×Q₈	—	5	1	no	—
1387	C₂×Q₈	—	10	1	no	—
1388	C₂×Q₈	—	10	1	no	—
1389	C₂×Q₈	—	10	1	no	—
1390	C₂×Q₈	—	10	1	no	—
1391	C₂×Q₈	—	20	4	no	—
1392	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1393	C₂×D₄	—	2	2	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	5	1	no	—
1398	C₂×D₄	—	5	1	no	—
1399	C₂×D₄	—	5	1	no	—
1400	C₂×D₄	—	5	1	no	—
1401	C₂×D₄	—	5	1	no	—
1402	C₂×D₄	—	5	1	no	—
1403	C₂×D₄	—	10	1	no	—
1404	C₂×D₄	—	10	1	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	1	no	—
1407	C₂×D₄	—	10	1	no	—
1408	C₂×D₄	—	10	1	no	—
1409	C₂×D₄	—	10	1	no	—
1410	C₂×D₄	—	10	1	no	—
1411	C₂×D₄	—	10	1	no	—
1412	C₂×D₄	—	10	1	no	—
1413	C₂×D₄	—	10	2	no	—
1414	C₂×D₄	—	10	2	no	—
1415	C₂×D₄	—	10	2	no	—
1416	C₂×D₄	—	10	1	no	—
1417	C₂×D₄	—	10	1	no	—
1418	C₂×D₄	—	10	1	no	—
1419	C₂×D₄	—	10	1	no	—
1420	C₂×D₄	—	10	1	no	—
1421	C₂×D₄	—	10	1	no	—
1422	C₂×D₄	—	10	1	no	—
1423	C₂×D₄	—	10	1	no	—
1424	C₂×D₄	—	20	4	no	—
1425	C₂×D₄	—	20	1	no	—
1426	C₂×D₄	—	20	1	no	—
1427	C₂×D₄	—	20	1	no	—
1428	C₂×D₄	—	20	4	no	—
1429	C₂×D₄	—	20	4	no	—
1430	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1431	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1432	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	4	4	no	—
1442	C₂²×C₄	—	5	1	no	—
1443	C₂²×C₄	—	5	1	no	—
1444	C₂²×C₄	—	5	1	no	—
1445	C₂²×C₄	—	5	1	no	—
1446	C₂²×C₄	—	5	1	no	—
1447	C₂²×C₄	—	5	1	no	—
1448	C₂²×C₄	—	10	1	no	—
1449	C₂²×C₄	—	10	1	no	—
1450	C₂²×C₄	—	10	1	no	—
1451	C₂²×C₄	—	10	1	no	—
1452	C₂²×C₄	—	10	1	no	—
1453	C₂²×C₄	—	10	1	no	—
1454	C₂²×C₄	—	10	1	no	—
1455	C₂²×C₄	—	10	1	no	—
1456	C₂²×C₄	—	10	1	no	—
1457	C₂²×C₄	—	10	1	no	—
1458	C₂²×C₄	—	10	1	no	—
1459	C₂²×C₄	—	10	1	no	—
1460	C₂²×C₄	—	10	1	no	—
1461	C₂²×C₄	—	10	1	no	—
1462	C₂²×C₄	—	20	4	no	—
1463	C₂²×C₄	—	20	4	no	—
1464	C₂²×C₄	—	20	4	no	—
1465	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1466	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1467	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	2	2	no	—
1470	SD₁₆	—	10	2	no	—
1471	SD₁₆	—	10	2	no	—
1472	SD₁₆	—	20	1	no	—
1473	SD₁₆	—	20	1	no	—
1474	SD₁₆	—	20	1	no	—
1475	SD₁₆	—	20	1	no	—
1476	D₈	—	2	2	no	—
1477	D₈	—	10	2	no	—
1478	D₈	—	10	2	no	—
1479	D₈	—	10	2	no	—
1480	D₈	—	10	2	no	—
1481	D₈	—	20	1	no	—
1482	D₈	—	20	1	no	—
1483	D₈	#709	1	4	yes	complemented
1484	M₁₆	—	2	2	no	—
1485	M₁₆	—	4	1	no	—
1486	M₁₆	—	10	2	no	—
1487	M₁₆	—	20	1	no	—
1488	C₂×C₈	—	5	1	no	—
1489	C₂×C₈	—	5	1	no	—
1490	C₂×C₈	—	5	1	no	—
1491	C₂×C₈	—	5	1	no	—
1492	C₂×C₈	—	10	2	no	—
1493	C₂×C₈	—	20	1	no	—
1494	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1496	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	1	no	—
1503	C₄⋊C₄	—	5	1	no	—
1504	C₄⋊C₄	—	5	1	no	—
1505	C₄⋊C₄	—	5	1	no	—
1506	C₄⋊C₄	—	5	1	no	—
1507	C₄⋊C₄	—	5	1	no	—
1508	C₄⋊C₄	—	5	1	no	—
1509	C₄⋊C₄	—	5	1	no	—
1510	C₄⋊C₄	—	5	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	—	10	1	no	—
1516	C₄⋊C₄	—	10	1	no	—
1517	C₄⋊C₄	—	10	1	no	—
1518	C₄⋊C₄	—	10	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	—	10	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	—	10	1	no	—
1525	C₄⋊C₄	—	10	1	no	—
1526	C₄⋊C₄	—	10	1	no	—
1527	C₄⋊C₄	—	10	1	no	—
1528	C₄⋊C₄	—	10	1	no	—
1529	C₄⋊C₄	—	10	1	no	—
1530	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1531	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1532	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1533	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	5	1	no	—
1542	C₂²⋊C₄	—	5	1	no	—
1543	C₂²⋊C₄	—	5	1	no	—
1544	C₂²⋊C₄	—	5	1	no	—
1545	C₂²⋊C₄	—	5	1	no	—
1546	C₂²⋊C₄	—	5	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₂²⋊C₄	—	10	1	no	—
1556	C₂²⋊C₄	—	10	1	no	—
1557	C₂²⋊C₄	—	10	1	no	—
1558	C₂²⋊C₄	—	10	1	no	—
1559	C₂²⋊C₄	—	10	1	no	—
1560	C₂²⋊C₄	—	10	1	no	—
1561	C₂²⋊C₄	—	10	1	no	—
1562	C₂²⋊C₄	—	10	1	no	—
1563	C₂²⋊C₄	—	10	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	—	10	1	no	—
1571	C₂²⋊C₄	—	10	1	no	—
1572	C₂²⋊C₄	—	10	1	no	—
1573	C₂²⋊C₄	—	10	1	no	—
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	5	1	no	—
1578	C₄²	—	5	1	no	—
1579	C₄²	—	5	1	no	—
1580	C₄²	—	5	1	no	—
1581	C₄²	—	5	1	no	—
1582	C₄²	—	5	1	no	—
1583	C₄²	—	10	1	no	—
1584	C₄²	—	10	1	no	—
1585	C₄²	—	10	1	no	—
1586	C₄²	D₄×D₅	1	1	yes	characteristic
1587	C₄²	D₄×D₅	1	1	yes	characteristic
1588	C₄²	C₂³×D₅	1	1	yes	characteristic
1589	C₄²	C₂³×D₅	1	1	yes	characteristic
1590	C₂×C₅	—	4	2	no	—
1591	C₂×C₅	—	4	2	no	—
1592	C₂×C₅	—	4	1	no	—
1593	C₂×C₅	—	8	1	no	—
1594	C₂×C₅	D₄×#41	1	1	yes	characteristic
1595	C₂×C₅	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1596	C₂×C₅	#3584	1	1	yes	characteristic
1597	D₅	—	2	2	no	—
1598	D₅	—	4	1	no	—
1599	D₅	—	8	1	no	—
1600	D₅	—	8	1	no	—
1601	D₅	—	8	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	4	2	no	—
1606	C₂³	—	4	2	no	—
1607	C₂³	—	5	1	no	—
1608	C₂³	—	5	1	no	—
1609	C₂³	—	8	1	no	—
1610	C₂³	—	10	1	no	—
1611	C₂³	—	10	1	no	—
1612	C₂³	—	10	1	no	—
1613	C₂³	—	20	2	no	—
1614	C₂³	—	20	2	no	—
1615	C₂³	—	20	2	no	—
1616	C₂³	—	20	2	no	—
1617	C₂³	—	20	2	no	—
1618	C₂³	—	20	2	no	—
1619	C₂³	—	40	1	no	—
1620	C₂³	—	40	1	no	—
1621	C₂³	—	40	1	no	—
1622	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1623	Q₈	—	2	1	no	—
1624	Q₈	—	2	1	no	—
1625	Q₈	—	10	2	no	—
1626	Q₈	—	10	1	no	—
1627	Q₈	—	10	1	no	—
1628	Q₈	—	20	2	no	—
1629	Q₈	—	20	2	no	—
1630	Q₈	—	20	2	no	—
1631	Q₈	—	40	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	4	2	no	—
1637	D₄	—	4	2	no	—
1638	D₄	—	10	2	no	—
1639	D₄	—	10	2	no	—
1640	D₄	—	10	2	no	—
1641	D₄	—	10	1	no	—
1642	D₄	—	10	1	no	—
1643	D₄	—	10	1	no	—
1644	D₄	—	10	1	no	—
1645	D₄	—	10	1	no	—
1646	D₄	—	10	1	no	—
1647	D₄	—	20	2	no	—
1648	D₄	—	20	2	no	—
1649	D₄	—	20	2	no	—
1650	D₄	—	20	2	no	—
1651	D₄	—	20	2	no	—
1652	D₄	—	20	2	no	—
1653	D₄	—	20	2	no	—
1654	D₄	—	20	2	no	—
1655	D₄	—	20	2	no	—
1656	D₄	—	20	2	no	—
1657	D₄	—	20	2	no	—
1658	D₄	—	20	2	no	—
1659	D₄	—	20	2	no	—
1660	D₄	—	40	1	no	—
1661	D₄	—	40	1	no	—
1662	D₄	—	40	1	no	—
1663	D₄	—	40	1	no	—
1664	D₄	—	40	1	no	—
1665	D₄	C₂×#709	1	2	yes	—
1666	D₄	C₂×#709	1	2	yes	complemented
1667	C₂×C₄	—	2	2	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	4	1	no	—
1676	C₂×C₄	—	4	2	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	5	1	no	—
1684	C₂×C₄	—	5	4	no	—
1685	C₂×C₄	—	5	1	no	—
1686	C₂×C₄	—	5	1	no	—
1687	C₂×C₄	—	5	1	no	—
1688	C₂×C₄	—	5	1	no	—
1689	C₂×C₄	—	5	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	10	2	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	10	1	no	—
1694	C₂×C₄	—	10	1	no	—
1695	C₂×C₄	—	10	1	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	10	1	no	—
1699	C₂×C₄	—	10	1	no	—
1700	C₂×C₄	—	10	1	no	—
1701	C₂×C₄	—	20	1	no	—
1702	C₂×C₄	—	20	1	no	—
1703	C₂×C₄	—	20	2	no	—
1704	C₂×C₄	—	20	2	no	—
1705	C₂×C₄	—	20	2	no	—
1706	C₂×C₄	—	20	2	no	—
1707	C₂×C₄	—	20	2	no	—
1708	C₂×C₄	—	20	2	no	—
1709	C₂×C₄	—	20	2	no	—
1710	C₂×C₄	—	20	2	no	—
1711	C₂×C₄	—	20	2	no	—
1712	C₂×C₄	—	20	2	no	—
1713	C₂×C₄	—	20	2	no	—
1714	C₂×C₄	—	20	2	no	—
1715	C₂×C₄	—	20	2	no	—
1716	C₂×C₄	—	40	1	no	—
1717	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1718	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1721	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1722	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	10	1	no	—
1727	C₈	—	10	1	no	—
1728	C₈	—	10	1	no	—
1729	C₈	—	10	1	no	—
1730	C₈	C₂×#709	1	2	yes	complemented
1731	C₅	#61437	1	1	yes	characteristic, complemented, Sylow
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	2	no	—
1734	C₂²	—	2	2	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	5	2	no	—
1745	C₂²	—	8	4	no	—
1746	C₂²	—	10	1	no	—
1747	C₂²	—	10	1	no	—
1748	C₂²	—	10	1	no	—
1749	C₂²	—	10	1	no	—
1750	C₂²	—	10	1	no	—
1751	C₂²	—	20	1	no	—
1752	C₂²	—	20	1	no	—
1753	C₂²	—	20	1	no	—
1754	C₂²	—	20	1	no	—
1755	C₂²	—	20	1	no	—
1756	C₂²	—	20	1	no	—
1757	C₂²	—	20	1	no	—
1758	C₂²	—	20	1	no	—
1759	C₂²	—	20	1	no	—
1760	C₂²	—	40	4	no	—
1761	C₂²	—	40	4	no	—
1762	C₂²	—	40	4	no	—
1763	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	5	2	no	—
1774	C₄	—	10	1	no	—
1775	C₄	—	10	1	no	—
1776	C₄	—	10	1	no	—
1777	C₄	—	10	1	no	—
1778	C₄	—	10	1	no	—
1779	C₄	—	20	1	no	—
1780	C₄	—	20	1	no	—
1781	C₄	—	20	1	no	—
1782	C₄	—	20	1	no	—
1783	C₄	—	20	1	no	—
1784	C₄	D₅×AGL(1,ℤ/8)	1	2	yes	—
1785	C₄	C₂²×#709	1	1	yes	characteristic
1786	C₄	#66283	1	1	yes	characteristic
1787	C₂	—	4	1	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	4	2	no	—
1790	C₂	—	8	1	no	—
1791	C₂	—	10	2	no	—
1792	C₂	—	20	1	no	—
1793	C₂	—	40	1	no	—
1794	C₂	—	40	1	no	—
1795	C₂	—	40	1	no	—
1796	C₂	D₄×#709	1	1	yes	characteristic
1797	C₂	C₂×D₅×AGL(1,ℤ/8)	1	1	yes	characteristic
1798	C₂	#10619100	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₄×C₅×AGL(1,ℤ/8)	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	C₄×AGL(1,ℤ/8)	D₅
hypocenter	C₅	#61437
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×AGL(1,ℤ/8)

Complements

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

N	H ≅ G/N	type
1. #10617742	C₂	semidirect
2. D₄×#709	C₂	semidirect
3. C₄×C₅×AGL(1,ℤ/8)	C₂	semidirect
4. #10615689	C₂	semidirect
5. #10615683	C₂	semidirect
6. #10614260	C₂	semidirect
7. #10614040	C₂	semidirect
8. #10611611	C₂	semidirect
9. #10611609	C₂	semidirect
10. #10611586	C₂	semidirect
11. #10611582	C₂	semidirect
12. #10611537	C₂	semidirect
13. #10611531	C₂	semidirect
14. #10611494	C₂	semidirect
15. #10611482	C₂	semidirect
16. #10611395	C₂	semidirect
17. #10611393	C₂	semidirect
18. #10611385	C₂	semidirect
19. #10611382	C₂	semidirect
20. #10611324	C₂	semidirect
21. #10611321	C₂	semidirect
22. C₄×#4057	C₂	semidirect
23. C₄×D₅×D₈	C₂	semidirect
24. #10610966	C₂	semidirect
25. #10610954	C₂	semidirect
26. #10610672	C₂	semidirect
27. #10610665	C₂	semidirect
28. #10610637	C₂	semidirect
29. #10610625	C₂	semidirect
30. #10610263	C₂	semidirect
31. #10610254	C₂	semidirect
34. C₄×C₅×#41	C₂²	semidirect
35. C₂×C₄×C₅×D₄	C₂²	semidirect
36. #66163	C₂²	semidirect
37. #66158	C₂²	semidirect
39. D₄×C₂²⋊D₅	C₂²	semidirect
43. #65915	C₂²	semidirect
44. #65914	C₂²	semidirect
45. #65912	C₂²	semidirect
46. #65902	C₂²	semidirect
48. #65888	C₂²	semidirect
49. #65887	C₂²	semidirect
55. #65882	C₂²	semidirect
60. C₄×D₄×D₅	C₂²	semidirect
61. C₄×D₄×D₅	C₂²	semidirect
63. #65873	C₂²	semidirect
65. D₄×Dic₁₀	C₂²	semidirect
66. C₄×#711	C₂²	semidirect
67. #65866	C₂²	semidirect
69. #65863	C₂²	semidirect
72. #65841	C₂²	semidirect
76. #65813	C₂²	semidirect
77. #65811	C₂²	semidirect
81. C₅×#442	C₂²	semidirect
82. C₅×#440	C₂²	semidirect
83. C₅×#440	C₂²	semidirect
84. C₄×C₅×SD₁₆	C₂²	semidirect
85. C₄×C₅×SD₁₆	C₂²	semidirect
87. C₄×C₅×D₈	C₂²	semidirect
88. C₅×#428	C₂²	semidirect
89. C₅×#418	C₂²	semidirect
90. C₅×#417	C₂²	semidirect
91. C₄×C₅×M₁₆	C₂²	semidirect
92. #65527	C₂²	semidirect
93. #65527	C₂²	semidirect
94. #65507	C₂²	semidirect
96. #65465	C₂²	semidirect
97. #65464	C₂²	semidirect
98. #65463	C₂²	semidirect
99. #65460	C₂²	semidirect
101. #65458	C₂²	semidirect
103. #65451	C₂²	semidirect
104. #65447	C₂²	semidirect
105. #65445	C₂²	semidirect
107. #65439	C₂²	semidirect
108. #65439	C₂²	semidirect
110. #65424	C₂²	semidirect
111. #65424	C₂²	semidirect
112. #65423	C₂²	semidirect
113. #65423	C₂²	semidirect
114. #65417	C₂²	semidirect
115. #65417	C₂²	semidirect
116. #65416	C₂²	semidirect
117. #65416	C₂²	semidirect
118. #65316	C₂²	semidirect
119. C₄×#688	C₂²	semidirect
120. C₄×#688	C₂²	semidirect
121. #65310	C₂²	semidirect
122. C₄×#687	C₂²	semidirect
123. C₄×#687	C₂²	semidirect
125. #65305	C₂²	semidirect
126. #65304	C₂²	semidirect
128. C₄×#686	C₂²	semidirect
129. C₄×#686	C₂²	semidirect
130. C₄×#686	C₂²	semidirect
131. #65298	C₂²	semidirect
132. #65298	C₂²	semidirect
133. #65297	C₂²	semidirect
134. #65292	C₂²	semidirect
135. #65292	C₂²	semidirect
136. #65259	C₂²	semidirect
137. #65257	C₂²	semidirect
138. #65214	C₂²	semidirect
139. #65179	C₂²	semidirect
140. #65178	C₂²	semidirect
141. #65174	C₂²	semidirect
142. #65171	C₂²	semidirect
143. #65170	C₂²	semidirect
144. D₅×#107	C₂²	semidirect
145. #65164	C₂²	semidirect
146. #65161	C₂²	semidirect
147. #65160	C₂²	semidirect
148. #65159	C₂²	semidirect
149. #65154	C₂²	semidirect
150. #65153	C₂²	semidirect
151. #65152	C₂²	semidirect
152. #65151	C₂²	semidirect
153. #65145	C₂²	semidirect
154. #65144	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65107	C₂²	semidirect
157. #65101	C₂²	semidirect
158. #65098	C₂²	semidirect
159. #65096	C₂²	semidirect
160. #65094	C₂²	semidirect
161. #65084	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65075	C₂²	semidirect
164. #65074	C₂²	semidirect
165. #65071	C₂²	semidirect
166. #65070	C₂²	semidirect
167. #65068	C₂²	semidirect
168. #65067	C₂²	semidirect
170. #65063	C₂²	semidirect
172. #65062	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65059	C₂²	semidirect
176. D₅×#102	C₂²	semidirect
177. #65055	C₂²	semidirect
178. #65053	C₂²	semidirect
179. #65051	C₂²	semidirect
180. #65050	C₂²	semidirect
181. #65050	C₂²	semidirect
182. #65049	C₂²	semidirect
183. #65048	C₂²	semidirect
184. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65003	C₂²	semidirect
188. #65002	C₂²	semidirect
189. #65001	C₂²	semidirect
190. #64995	C₂²	semidirect
191. #64995	C₂²	semidirect
192. #64991	C₂²	semidirect
193. #64990	C₂²	semidirect
194. #64990	C₂²	semidirect
195. C₄×D₄₀	C₂²	semidirect
196. C₄×D₄₀	C₂²	semidirect
197. C₄×#677	C₂²	semidirect
198. C₄×#677	C₂²	semidirect
199. C₄×#676	C₂²	semidirect
200. #64974	C₂²	semidirect
201. #64974	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
512. C₄×AGL(1,ℤ/8)	D₅	semidirect
616. C₅×D₈	#41	semidirect
777. C₄×#41	C₂×D₅	semidirect
781. C₂×C₄×D₄	C₂×D₅	semidirect
860. #442	C₂×D₅	semidirect
863. #440	C₂×D₅	semidirect
864. #440	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
872. C₄×SD₁₆	C₂×D₅	semidirect
884. C₄×D₈	C₂×D₅	semidirect
895. #428	C₂×D₅	semidirect
898. #418	C₂×D₅	semidirect
900. #417	C₂×D₅	semidirect
904. C₄×M₁₆	C₂×D₅	semidirect
936. C₅×D₄	C₂×#41	semidirect
1019. C₄×D₅	AGL(1,ℤ/8)	semidirect
1030. C₅×C₈	C₂×#41	semidirect
1483. D₈	#709	semidirect
1666. D₄	C₂×#709	semidirect
1730. C₈	C₂×#709	semidirect
1731. C₅	#61437	semidirect

Maximal subgroups

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

subgroup	index
#10617742	2
D₄×#709	2
C₄×C₅×AGL(1,ℤ/8)	2
#10615689	2
#10615683	2
#10614260	2
#10614040	2
#10611611	2
#10611609	2
#10611586	2
#10611582	2
#10611537	2
#10611531	2
#10611494	2
#10611482	2
#10611395	2
#10611393	2
#10611385	2
#10611382	2
#10611324	2
#10611321	2
C₄×#4057	2
C₄×D₅×D₈	2
#10610966	2
#10610954	2
#10610672	2
#10610665	2
#10610637	2
#10610625	2
#10610263	2
#10610254	2
#61437	5