Subgroups — #12971160

Order 1280.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618427	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618242	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3225	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615194	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615141	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613611	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613600	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613558	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613552	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613419	C₂	1	1	yes	maximal, characteristic, complemented
11	D₅×#489	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613337	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613332	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612273	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612269	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612213	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612210	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612165	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612162	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611962	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611953	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611933	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611917	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611818	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611809	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611789	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611773	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611123	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611104	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4149	C₂²	1	1	yes	characteristic
33	C₂×#4147	C₂²	1	1	yes	characteristic
34	C₅×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#536	C₂²	1	1	yes	characteristic
36	#66166	C₂²	1	1	yes	characteristic
37	C₂×#4093	C₂²	1	1	yes	characteristic
38	C₂×#4065	C₂²	1	1	yes	characteristic
39	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4062	C₂²	1	1	yes	characteristic
42	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4060	C₂²	1	1	yes	characteristic
45	C₂×#4057	C₂²	1	1	yes	characteristic
46	#66067	C₂²	1	1	yes	characteristic, complemented
47	#66059	C₂²	1	1	yes	characteristic
48	#66059	C₂²	1	1	yes	characteristic
49	#66058	C₂²	1	1	yes	characteristic
50	#66058	C₂²	1	1	yes	characteristic
51	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	#66043	—	2	1	no	—
53	#66036	—	2	1	no	—
54	#66016	C₂²	1	1	yes	characteristic, complemented
55	#66011	—	2	1	no	—
56	#66008	C₂²	1	1	yes	characteristic
57	#66008	C₂²	1	1	yes	characteristic
58	D₅×#124	C₂²	1	1	yes	characteristic
59	D₅×#124	C₂²	1	1	yes	characteristic
60	#66004	—	2	1	no	—
61	#66002	C₂²	1	1	yes	characteristic, complemented
62	#65995	—	2	1	no	—
63	#65989	—	2	1	no	—
64	#65988	—	2	1	no	—
65	#65988	—	2	1	no	—
66	#65988	—	2	1	no	—
67	#65988	—	2	1	no	—
68	#65970	—	2	1	no	—
69	#65967	—	2	1	no	—
70	#65967	—	2	1	no	—
71	#65967	—	2	1	no	—
72	#65964	—	2	1	no	—
73	#65964	—	2	1	no	—
74	#65963	C₂²	1	1	yes	characteristic
75	#65956	C₂²	1	1	yes	characteristic, complemented
76	#65942	C₂²	1	1	yes	characteristic
77	#65930	C₂²	1	1	yes	characteristic, complemented
78	#65912	C₂²	1	1	yes	characteristic, complemented
79	#65908	C₂²	1	1	yes	characteristic, complemented
80	#65882	C₂²	1	1	yes	characteristic, complemented
81	#65880	C₂²	1	1	yes	characteristic, complemented
82	#65868	C₂²	1	1	yes	characteristic, complemented
83	#65859	C₂²	1	1	yes	characteristic
84	#65856	C₂²	1	1	yes	characteristic
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#495	C₂²	1	1	yes	characteristic, complemented
87	C₅×#489	C₂²	1	1	yes	characteristic, complemented
88	C₅×#487	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#462	C₂²	1	1	yes	characteristic, complemented
92	C₅×#461	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic
94	C₅×#451	C₂²	1	1	yes	characteristic, complemented
95	C₅×#449	C₂²	1	1	yes	characteristic
96	C₅×#448	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic
99	#65527	C₂²	1	1	yes	characteristic
100	#65517	C₂²	1	1	yes	characteristic, complemented
101	#65516	C₂²	1	1	yes	characteristic, complemented
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65479	C₂²	1	1	yes	characteristic, complemented
104	#65479	C₂²	1	1	yes	characteristic, complemented
105	#65476	C₂²	1	1	yes	characteristic
106	#65476	C₂²	1	1	yes	characteristic, complemented
107	#65475	C₂²	1	1	yes	characteristic, complemented
108	#65474	C₂²	1	1	yes	characteristic, complemented
109	#65474	C₂²	1	1	yes	characteristic, complemented
110	#65471	C₂²	1	1	yes	characteristic, complemented
111	#65465	C₂²	1	1	yes	characteristic, complemented
112	#65465	C₂²	1	1	yes	characteristic, complemented
113	#65465	C₂²	1	1	yes	characteristic, complemented
114	#65461	C₂²	1	1	yes	characteristic
115	#65461	C₂²	1	1	yes	characteristic, complemented
116	#65459	C₂²	1	1	yes	characteristic, complemented
117	#65458	C₂²	1	1	yes	characteristic
118	#65456	C₂²	1	1	yes	characteristic, complemented
119	#65454	C₂²	1	1	yes	characteristic, complemented
120	#65454	C₂²	1	1	yes	characteristic, complemented
121	#65452	C₂²	1	1	yes	characteristic, complemented
122	#65451	C₂²	1	1	yes	characteristic, complemented
123	#65445	C₂²	1	1	yes	characteristic
124	#65443	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65379	C₂²	1	1	yes	characteristic, complemented
127	#65378	C₂²	1	1	yes	characteristic, complemented
128	#65377	C₂²	1	1	yes	characteristic, complemented
129	#65375	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65370	C₂²	1	1	yes	characteristic, complemented
132	#65348	C₂²	1	1	yes	characteristic, complemented
133	#65348	C₂²	1	1	yes	characteristic, complemented
134	#65347	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65344	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65336	C₂²	1	1	yes	characteristic, complemented
139	#65335	C₂²	1	1	yes	characteristic
140	#65326	C₂²	1	1	yes	characteristic, complemented
141	#65325	C₂²	1	1	yes	characteristic
142	#65317	C₂²	1	1	yes	characteristic, complemented
143	#65316	C₂²	1	1	yes	characteristic, complemented
144	#65305	C₂²	1	1	yes	characteristic, complemented
145	#65304	C₂²	1	1	yes	characteristic, complemented
146	#65289	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65132	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic, complemented
154	#65124	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65108	C₂²	1	1	yes	characteristic, complemented
157	#65107	C₂²	1	1	yes	characteristic, complemented
158	#65100	C₂²	1	1	yes	characteristic
159	#65100	C₂²	1	1	yes	characteristic, complemented
160	#65099	C₂²	1	1	yes	characteristic
161	#65099	C₂²	1	1	yes	characteristic, complemented
162	#65097	C₂²	1	1	yes	characteristic, complemented
163	#65095	C₂²	1	1	yes	characteristic, complemented
164	#65092	C₂²	1	1	yes	characteristic
165	#65092	C₂²	1	1	yes	characteristic
166	#65092	C₂²	1	1	yes	characteristic, complemented
167	#65092	C₂²	1	1	yes	characteristic, complemented
168	D₅×#103	C₂²	1	1	yes	characteristic, complemented
169	D₅×#103	C₂²	1	1	yes	characteristic, complemented
170	#65087	C₂²	1	1	yes	characteristic, complemented
171	#65087	C₂²	1	1	yes	characteristic, complemented
172	#65084	C₂²	1	1	yes	characteristic, complemented
173	#65084	C₂²	1	1	yes	characteristic, complemented
174	#65084	C₂²	1	1	yes	characteristic, complemented
175	#65084	C₂²	1	1	yes	characteristic, complemented
176	#65084	C₂²	1	1	yes	characteristic, complemented
177	#65084	C₂²	1	1	yes	characteristic, complemented
178	#65082	C₂²	1	1	yes	characteristic, complemented
179	#65075	C₂²	1	1	yes	characteristic, complemented
180	#65065	C₂²	1	1	yes	characteristic
181	#65062	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	#65054	C₂²	1	1	yes	characteristic, complemented
185	#65054	C₂²	1	1	yes	characteristic, complemented
186	#65051	C₂²	1	1	yes	characteristic, complemented
187	#65023	C₂²	1	1	yes	characteristic, complemented
188	#65022	C₂²	1	1	yes	characteristic, complemented
189	#65021	C₂²	1	1	yes	characteristic
190	#65020	C₂²	1	1	yes	characteristic
191	#65016	C₂²	1	1	yes	characteristic
192	#65016	C₂²	1	1	yes	characteristic
193	#65008	C₂²	1	1	yes	characteristic, complemented
194	#65008	C₂²	1	1	yes	characteristic, complemented
195	#65003	C₂²	1	1	yes	characteristic, complemented
196	#65001	C₂²	1	1	yes	characteristic, complemented
197	#64998	C₂²	1	1	yes	characteristic, complemented
198	D₅×#97	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic, complemented
200	#64983	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₄×#676	C₂²	1	1	yes	characteristic, complemented
203	#60829	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	#4149	—	4	2	no	—
207	#4149	—	4	2	no	—
208	#4147	—	4	2	no	—
209	#4147	—	4	2	no	—
210	C₂×#713	—	2	1	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#713	C₂³	1	1	yes	characteristic
215	C₂×#713	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	—	2	1	no	—
217	C₂×Q₈×D₅	—	2	1	no	—
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
220	C₂×#711	—	2	1	no	—
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×#709	—	2	1	no	—
227	C₂×#709	—	2	1	no	—
228	C₂×#709	—	2	1	no	—
229	C₂×#709	—	2	1	no	—
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	—	2	1	no	—
233	C₂²×D₂₀	C₂³	1	1	yes	characteristic
234	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×#126	—	2	1	no	—
246	C₅×#124	—	2	1	no	—
247	C₅×#124	C₂³	1	1	yes	characteristic
248	C₅×#124	C₂³	1	1	yes	characteristic
249	C₅×#124	C₂³	1	1	yes	characteristic
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	—	2	1	no	—
253	C₅×C₂²⋊Q₈	—	2	1	no	—
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	—	2	1	no	—
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×#121	C₂³	1	1	yes	characteristic
258	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
260	C₅×#117	C₂³	1	1	yes	characteristic
261	#4093	—	2	1	no	—
262	#4093	—	2	1	no	—
263	#4093	—	2	1	no	—
264	#4093	C₂³	1	1	yes	characteristic
265	#4093	C₂³	1	1	yes	characteristic
266	#4093	C₂³	1	1	yes	characteristic
267	#4093	C₂³	1	1	yes	characteristic
268	#4093	C₂³	1	1	yes	characteristic
269	#4092	—	2	1	no	—
270	#4092	C₂³	1	1	yes	characteristic
271	Q₈×Dic₅	C₂³	1	1	yes	characteristic
272	#4090	—	2	1	no	—
273	#4090	C₂³	1	1	yes	characteristic
274	#4090	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#689	C₂³	1	1	yes	characteristic
279	C₂×#688	C₂³	1	1	yes	characteristic
280	C₂×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	C₂×#688	C₂³	1	1	yes	characteristic
283	C₂×#688	C₂³	1	1	yes	characteristic
284	C₂×#688	C₂³	1	1	yes	characteristic
285	#4086	C₂³	1	1	yes	characteristic
286	#4086	C₂³	1	1	yes	characteristic
287	#4085	—	2	1	no	—
288	#4085	—	2	1	no	—
289	#4085	—	2	1	no	—
290	#4085	—	2	1	no	—
291	#4084	—	2	1	no	—
292	#4084	C₂³	1	1	yes	characteristic
293	#4082	C₂³	1	1	yes	characteristic
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×#687	C₂³	1	1	yes	characteristic
296	C₂×#687	C₂³	1	1	yes	characteristic
297	C₂×#686	C₂³	1	1	yes	characteristic
298	C₂×#686	C₂³	1	1	yes	characteristic
299	C₂×#686	C₂³	1	1	yes	characteristic
300	C₂×#686	C₂³	1	1	yes	characteristic
301	#4076	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₅	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₄×C₂²⋊D₅	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₂×#685	—	2	1	no	—
307	C₂×#685	—	2	1	no	—
308	#4070	C₂³	1	1	yes	characteristic
309	C₂×#683	—	2	1	no	—
310	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
311	#4065	—	4	2	no	—
312	#4065	—	4	2	no	—
313	#4064	—	4	2	no	—
314	#4062	—	4	2	no	—
315	#4062	—	4	2	no	—
316	#4061	—	4	2	no	—
317	#4060	—	4	2	no	—
318	#4057	—	4	2	no	—
319	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
320	C₂×D₄₀	C₂³	1	1	yes	characteristic
321	C₂×D₄₀	C₂³	1	1	yes	characteristic
322	C₂×D₄₀	C₂³	1	1	yes	characteristic
323	C₂×#677	C₂³	1	1	yes	characteristic
324	C₂×#677	C₂³	1	1	yes	characteristic
325	C₂×#677	C₂³	1	1	yes	characteristic
326	C₂×#677	C₂³	1	1	yes	characteristic
327	C₂×#676	C₂³	1	1	yes	characteristic
328	C₂×#676	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4043	C₂³	1	1	yes	characteristic
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4041	—	2	1	no	—
342	#4041	—	2	1	no	—
343	#4041	—	2	1	no	—
344	#4041	—	2	1	no	—
345	#4041	—	2	1	no	—
346	#4041	—	2	1	no	—
347	#4041	—	2	1	no	—
348	#4041	C₂³	1	1	yes	characteristic
349	#4040	—	2	1	no	—
350	#4040	—	2	1	no	—
351	#4040	—	2	1	no	—
352	#4040	—	2	1	no	—
353	#4040	—	2	1	no	—
354	#4039	—	2	1	no	—
355	#4039	—	2	1	no	—
356	#4039	—	2	1	no	—
357	#4039	—	2	1	no	—
358	#4039	—	2	1	no	—
359	#4039	D₄	1	1	yes	characteristic
360	#4039	D₄	1	1	yes	characteristic
361	#4039	C₂³	1	1	yes	characteristic
362	D₅×C₄⋊C₄	—	2	1	no	—
363	D₅×C₄⋊C₄	—	2	1	no	—
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4034	—	2	1	no	—
369	#4034	C₂³	1	1	yes	characteristic
370	#4034	C₂³	1	1	yes	characteristic
371	#4033	—	2	1	no	—
372	#4033	D₄	1	1	yes	characteristic
373	#4033	D₄	1	1	yes	characteristic
374	#4033	C₂³	1	1	yes	characteristic
375	#4032	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4031	—	2	1	no	—
382	#4031	—	2	1	no	—
383	#4031	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4030	—	2	1	no	—
393	#4030	—	2	1	no	—
394	#4029	—	2	1	no	—
395	#4028	—	2	1	no	—
396	#4028	—	2	1	no	—
397	#4028	—	2	1	no	—
398	#4028	—	2	1	no	—
399	#4028	—	2	1	no	—
400	#4028	—	2	1	no	—
401	#4027	—	2	1	no	—
402	#4027	—	2	1	no	—
403	#4027	—	2	1	no	—
404	#4027	—	2	1	no	—
405	#4027	D₄	1	1	yes	characteristic
406	#4027	D₄	1	1	yes	characteristic
407	#4027	D₄	1	1	yes	characteristic
408	#4027	D₄	1	1	yes	characteristic
409	D₅×C₂²⋊C₄	—	2	1	no	—
410	D₅×C₂²⋊C₄	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	#4025	—	2	1	no	—
414	#4024	—	2	1	no	—
415	#4024	—	2	1	no	—
416	#4024	—	2	1	no	—
417	#4023	—	2	1	no	—
418	#4023	—	2	1	no	—
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4021	C₂³	1	1	yes	characteristic
422	#4020	C₂³	1	1	yes	characteristic
423	#4020	C₂³	1	1	yes	characteristic
424	C₄×D₂₀	—	2	1	no	—
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	#4018	—	2	1	no	—
427	#4018	—	2	1	no	—
428	#4018	C₂³	1	1	yes	characteristic
429	#4018	C₂³	1	1	yes	characteristic
430	C₄²×D₅	C₂³	1	1	yes	characteristic
431	C₄²×D₅	C₂³	1	1	yes	characteristic
432	#4015	C₂³	1	1	yes	characteristic
433	C₄×Dic₁₀	—	2	1	no	—
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₅×#103	C₂³	1	1	yes	characteristic
438	C₅×#103	C₂³	1	1	yes	characteristic
439	C₅×#103	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3967	C₂³	1	1	yes	characteristic
454	#3967	C₂³	1	1	yes	characteristic
455	#3964	C₂³	1	1	yes	characteristic
456	#3964	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic
463	#3953	C₂³	1	1	yes	characteristic
464	#3953	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3947	C₂³	1	1	yes	characteristic
472	#3947	C₂³	1	1	yes	characteristic
473	#3947	C₂³	1	1	yes	characteristic
474	#3947	C₂³	1	1	yes	characteristic
475	#3946	C₂³	1	1	yes	characteristic
476	#3946	C₂³	1	1	yes	characteristic
477	#3946	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3942	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic
486	#3941	C₂³	1	1	yes	characteristic
487	C₄⋊#168	C₂³	1	1	yes	characteristic
488	C₄⋊#168	C₂³	1	1	yes	characteristic
489	#3935	C₂³	1	1	yes	characteristic
490	C₄×#168	C₂³	1	1	yes	characteristic
491	#3511	—	5	1	no	—
492	#3500	—	5	1	no	—
493	#3225	—	5	1	no	—
494	#3225	—	5	1	no	—
495	#3225	—	5	1	no	—
496	#3225	D₅	1	1	yes	characteristic, complemented
497	#3224	—	5	1	no	—
498	#3224	—	5	1	no	—
499	#3224	—	5	1	no	—
500	#3224	—	5	1	no	—
501	#3216	—	5	1	no	—
502	#3216	—	5	1	no	—
503	#3215	—	5	1	no	—
504	#3215	—	5	1	no	—
505	#3214	—	5	1	no	—
506	#3214	—	5	1	no	—
507	#3213	—	5	1	no	—
508	#3213	—	5	1	no	—
509	#3153	—	5	1	no	—
510	#3150	—	5	1	no	—
511	#3141	—	5	1	no	—
512	C₂×#489	—	5	1	no	—
513	#3046	—	5	1	no	—
514	#3046	—	5	1	no	—
515	#3045	—	5	1	no	—
516	#3045	—	5	1	no	—
517	#3013	—	5	1	no	—
518	#3013	—	5	1	no	—
519	#3012	—	5	1	no	—
520	#3012	—	5	1	no	—
521	#2923	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	4	1	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	—	2	1	no	—
529	C₂×C₅×Q₈	—	4	1	no	—
530	C₂×C₅×Q₈	—	4	1	no	—
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
559	#713	—	2	2	no	—
560	#713	—	2	2	no	—
561	#713	—	2	2	no	—
562	#713	—	2	2	no	—
563	#713	—	2	2	no	—
564	#713	—	2	2	no	—
565	#713	—	4	1	no	—
566	#713	—	4	1	no	—
567	#713	—	4	1	no	—
568	#713	—	4	1	no	—
569	#713	—	4	4	no	—
570	Q₈×D₅	—	2	2	no	—
571	Q₈×D₅	—	2	2	no	—
572	Q₈×D₅	—	4	1	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	4	4	no	—
575	Q₈×D₅	—	8	2	no	—
576	#711	—	2	2	no	—
577	#711	—	2	2	no	—
578	#711	—	8	2	no	—
579	D₄×D₅	—	2	2	no	—
580	D₄×D₅	—	2	2	no	—
581	D₄×D₅	—	4	1	no	—
582	D₄×D₅	—	4	1	no	—
583	D₄×D₅	—	4	4	no	—
584	D₄×D₅	—	4	4	no	—
585	#709	—	2	2	no	—
586	#709	—	2	2	no	—
587	#709	—	4	1	no	—
588	#709	—	4	1	no	—
589	#709	—	4	4	no	—
590	#709	—	4	4	no	—
591	#709	—	4	4	no	—
592	#709	—	8	2	no	—
593	C₂×D₂₀	—	2	1	no	—
594	C₂×D₂₀	—	2	1	no	—
595	C₂×D₂₀	—	2	1	no	—
596	C₂×D₂₀	—	2	1	no	—
597	C₂×D₂₀	—	2	1	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	2	1	no	—
600	C₂×D₂₀	—	2	1	no	—
601	C₂×D₂₀	—	2	1	no	—
602	C₂×D₂₀	—	2	1	no	—
603	C₂×D₂₀	—	2	1	no	—
604	C₂×D₂₀	—	4	1	no	—
605	C₂×D₂₀	—	4	1	no	—
606	C₂×D₂₀	—	4	4	no	—
607	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
608	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
609	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
610	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
611	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₅	—	2	1	no	—
613	C₂×C₄×D₅	—	2	1	no	—
614	C₂×C₄×D₅	—	2	1	no	—
615	C₂×C₄×D₅	—	2	1	no	—
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×Dic₁₀	—	2	1	no	—
631	C₂×Dic₁₀	—	2	1	no	—
632	C₂×Dic₁₀	—	2	1	no	—
633	C₂×Dic₁₀	—	2	1	no	—
634	C₂×Dic₁₀	—	2	1	no	—
635	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
636	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
638	C₅×Q₁₆	—	4	1	no	—
639	C₅×Q₁₆	—	4	1	no	—
640	C₅×Q₁₆	—	4	1	no	—
641	C₅×SD₁₆	—	4	1	no	—
642	C₅×SD₁₆	—	4	1	no	—
643	C₅×SD₁₆	—	4	1	no	—
644	C₅×SD₁₆	—	4	1	no	—
645	C₅×D₈	—	4	1	no	—
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
648	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₅	—	2	1	no	—
673	C₄²×C₅	C₂⁴	1	1	yes	characteristic
674	C₄²×C₅	C₂⁴	1	1	yes	characteristic
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	#689	—	4	1	no	—
681	#689	—	4	1	no	—
682	#689	—	4	1	no	—
683	#689	—	4	1	no	—
684	#688	—	4	1	no	—
685	#688	—	4	1	no	—
686	#688	—	4	1	no	—
687	#688	—	4	1	no	—
688	#688	—	4	1	no	—
689	#688	—	4	1	no	—
690	#687	—	4	1	no	—
691	#687	—	4	1	no	—
692	#686	—	4	1	no	—
693	#686	—	4	1	no	—
694	#686	—	4	1	no	—
695	#686	—	4	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	C₂×D₄	1	1	yes	characteristic
719	#685	C₂×D₄	1	1	yes	characteristic
720	#685	C₂×D₄	1	1	yes	characteristic
721	#685	C₂×D₄	1	1	yes	characteristic
722	C₄⋊Dic₅	—	2	1	no	—
723	C₄⋊Dic₅	—	2	1	no	—
724	C₄⋊Dic₅	—	2	1	no	—
725	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	C₂×D₄	1	1	yes	characteristic
740	#683	C₂×D₄	1	1	yes	characteristic
741	#683	C₂×D₄	1	1	yes	characteristic
742	#683	C₂×D₄	1	1	yes	characteristic
743	C₄×Dic₅	—	2	1	no	—
744	C₄×Dic₅	—	2	1	no	—
745	C₄×Dic₅	—	2	1	no	—
746	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
747	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
748	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
750	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
751	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
752	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
753	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
754	C₂×#168	C₂⁴	1	1	yes	characteristic
755	C₂×#168	C₂⁴	1	1	yes	characteristic
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	Dic₂₀	—	4	1	no	—
759	D₄₀	—	4	1	no	—
760	D₄₀	—	4	1	no	—
761	D₄₀	—	4	1	no	—
762	#677	—	4	1	no	—
763	#677	—	4	1	no	—
764	#677	—	4	1	no	—
765	#677	—	4	1	no	—
766	#676	—	2	2	no	—
767	#676	—	2	2	no	—
768	C₈×D₅	—	2	2	no	—
769	C₈×D₅	—	2	2	no	—
770	C₂×2₋¹⁺⁴	—	5	1	no	—
771	C₂×H(5,𝔽₂)	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×AGL(1,ℤ/8)	—	5	1	no	—
775	C₂×AGL(1,ℤ/8)	—	5	1	no	—
776	C₂×#135	—	5	1	no	—
777	C₂×#135	—	5	1	no	—
778	C₂×#135	—	5	1	no	—
779	C₂×#135	—	5	1	no	—
780	#556	—	10	1	no	—
781	#555	—	10	1	no	—
782	#554	—	10	1	no	—
783	#553	—	10	1	no	—
784	#553	—	10	1	no	—
785	#548	—	10	1	no	—
786	#548	—	10	1	no	—
787	#548	—	10	1	no	—
788	#548	—	10	1	no	—
789	#547	—	10	1	no	—
790	#546	—	10	1	no	—
791	#546	—	10	1	no	—
792	#546	—	10	1	no	—
793	#546	—	10	1	no	—
794	#546	—	10	1	no	—
795	#546	—	10	1	no	—
796	#542	—	5	1	no	—
797	#542	—	5	1	no	—
798	#542	—	5	1	no	—
799	#542	C₂×D₅	1	1	yes	characteristic, complemented
800	#537	—	5	1	no	—
801	#537	—	5	1	no	—
802	#536	—	5	1	no	—
803	#536	—	5	1	no	—
804	#536	C₂×D₅	1	1	yes	characteristic
805	#535	—	5	1	no	—
806	#535	—	5	1	no	—
807	#535	—	5	1	no	—
808	#533	—	5	1	no	—
809	#533	—	5	1	no	—
810	#532	—	5	1	no	—
811	#532	—	5	1	no	—
812	#532	—	5	1	no	—
813	#532	—	5	1	no	—
814	#532	—	5	1	no	—
815	#532	—	5	1	no	—
816	C₂×C₄⋊Q₈	—	5	1	no	—
817	C₂×#124	—	5	1	no	—
818	C₂×#124	—	5	1	no	—
819	C₂×#124	—	5	1	no	—
820	#520	—	5	1	no	—
821	#520	—	5	1	no	—
822	C₄×#41	—	5	1	no	—
823	#497	—	5	1	no	—
824	#497	—	5	1	no	—
825	#497	—	5	1	no	—
826	#497	—	5	1	no	—
827	#497	—	5	1	no	—
828	#497	C₂×D₅	1	1	yes	characteristic, complemented
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#496	—	5	1	no	—
832	#496	—	5	1	no	—
833	#496	—	5	1	no	—
834	#496	—	5	1	no	—
835	#495	—	5	1	no	—
836	#495	—	5	1	no	—
837	#495	—	5	1	no	—
838	#495	C₂×D₅	1	1	yes	characteristic, complemented
839	#489	—	5	1	no	—
840	#489	—	5	1	no	—
841	#489	—	5	1	no	—
842	#489	—	5	1	no	—
843	#489	—	5	1	no	—
844	#489	—	5	1	no	—
845	#489	—	5	1	no	—
846	#489	—	5	1	no	—
847	#489	—	5	1	no	—
848	#489	—	5	1	no	—
849	#489	—	5	1	no	—
850	#489	C₂×D₅	1	1	yes	characteristic, complemented
851	#487	—	5	1	no	—
852	#487	C₂×D₅	1	1	yes	characteristic, complemented
853	#486	—	5	1	no	—
854	#486	—	5	1	no	—
855	#464	—	5	1	no	—
856	#464	—	5	1	no	—
857	#464	—	5	1	no	—
858	#464	—	5	1	no	—
859	#464	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	C₂×D₅	1	1	yes	characteristic, complemented
863	#463	—	5	1	no	—
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	—	5	1	no	—
868	#463	—	5	1	no	—
869	#463	—	5	1	no	—
870	#463	C₂×D₅	1	1	yes	characteristic, complemented
871	#462	—	5	1	no	—
872	#462	—	5	1	no	—
873	#462	—	5	1	no	—
874	#462	C₂×D₅	1	1	yes	characteristic, complemented
875	#461	—	5	1	no	—
876	#461	—	5	1	no	—
877	#461	—	5	1	no	—
878	#461	C₂×D₅	1	1	yes	characteristic, complemented
879	#460	—	5	1	no	—
880	#460	—	5	1	no	—
881	#460	—	5	1	no	—
882	#460	—	5	1	no	—
883	#459	—	5	1	no	—
884	#459	—	5	1	no	—
885	#459	—	5	1	no	—
886	#459	—	5	1	no	—
887	#452	—	5	1	no	—
888	#452	—	5	1	no	—
889	#452	—	5	1	no	—
890	#452	—	5	1	no	—
891	#452	—	5	1	no	—
892	#452	—	5	1	no	—
893	#452	—	5	1	no	—
894	#452	C₂×D₅	1	1	yes	characteristic
895	#451	—	5	1	no	—
896	#451	—	5	1	no	—
897	#451	—	5	1	no	—
898	#451	C₂×D₅	1	1	yes	characteristic, complemented
899	#450	—	5	1	no	—
900	#450	—	5	1	no	—
901	#450	—	5	1	no	—
902	#450	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#449	—	5	1	no	—
906	#449	—	5	1	no	—
907	#449	—	5	1	no	—
908	#449	—	5	1	no	—
909	#449	—	5	1	no	—
910	#449	C₂×D₅	1	1	yes	characteristic
911	#448	—	5	1	no	—
912	#448	—	5	1	no	—
913	#448	—	5	1	no	—
914	#448	C₂×D₅	1	1	yes	characteristic, complemented
915	#447	—	5	1	no	—
916	#447	—	5	1	no	—
917	#447	—	5	1	no	—
918	#447	—	5	1	no	—
919	#433	—	5	1	no	—
920	#433	—	5	1	no	—
921	#433	—	5	1	no	—
922	#433	C₂×D₅	1	1	yes	characteristic, complemented
923	#432	—	5	1	no	—
924	#432	—	5	1	no	—
925	#432	—	5	1	no	—
926	#432	—	5	1	no	—
927	#424	—	5	1	no	—
928	#424	—	5	1	no	—
929	#417	—	5	1	no	—
930	#417	—	5	1	no	—
931	#417	—	5	1	no	—
932	#417	—	5	1	no	—
933	C₂×#103	—	5	1	no	—
934	C₂×#103	—	5	1	no	—
935	C₂×#102	—	5	1	no	—
936	C₂×#102	—	5	1	no	—
937	#408	—	5	1	no	—
938	#408	—	5	1	no	—
939	C₄×M₁₆	—	5	1	no	—
940	C₂×#97	—	5	1	no	—
941	C₂³×C₅	—	2	1	no	—
942	C₂³×C₅	—	2	1	no	—
943	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂²×D₅	—	2	1	no	—
945	C₂²×D₅	—	2	1	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	8	1	no	—
952	C₂²×D₅	—	8	1	no	—
953	C₂²×D₅	—	8	1	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
958	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	2	1	no	—
962	C₅×Q₈	—	2	1	no	—
963	C₅×Q₈	—	2	1	no	—
964	C₅×Q₈	—	2	1	no	—
965	C₅×Q₈	—	2	1	no	—
966	C₅×Q₈	—	2	1	no	—
967	C₅×Q₈	—	4	2	no	—
968	C₅×Q₈	—	8	1	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	2	1	no	—
971	C₅×D₄	—	2	1	no	—
972	C₅×D₄	—	2	1	no	—
973	C₅×D₄	—	4	2	no	—
974	C₅×D₄	—	8	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	2	1	no	—
983	C₂×C₄×C₅	—	4	2	no	—
984	C₂×C₄×C₅	—	4	2	no	—
985	C₂×C₄×C₅	—	8	1	no	—
986	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
991	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
992	C₂²⋊D₅	—	2	2	no	—
993	C₂²⋊D₅	—	2	2	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	4	2	no	—
996	C₂²⋊D₅	—	4	2	no	—
997	C₂²⋊D₅	—	4	2	no	—
998	C₂²⋊D₅	—	4	2	no	—
999	C₂²⋊D₅	—	4	2	no	—
1000	C₂²⋊D₅	—	8	1	no	—
1001	C₂²⋊D₅	—	8	1	no	—
1002	C₂²⋊D₅	—	8	1	no	—
1003	C₂²⋊D₅	—	8	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	2	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	4	1	no	—
1009	C₂×Dic₅	—	4	1	no	—
1010	C₂×Dic₅	—	4	2	no	—
1011	C₂×Dic₅	—	8	1	no	—
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1014	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1018	D₂₀	—	2	2	no	—
1019	D₂₀	—	2	1	no	—
1020	D₂₀	—	2	1	no	—
1021	D₂₀	—	2	1	no	—
1022	D₂₀	—	2	1	no	—
1023	D₂₀	—	2	1	no	—
1024	D₂₀	—	2	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	2	1	no	—
1027	D₂₀	—	4	2	no	—
1028	D₂₀	—	4	2	no	—
1029	D₂₀	—	4	2	no	—
1030	D₂₀	—	4	2	no	—
1031	D₂₀	—	4	2	no	—
1032	D₂₀	—	4	2	no	—
1033	D₂₀	—	8	1	no	—
1034	D₂₀	—	8	1	no	—
1035	D₂₀	—	8	1	no	—
1036	D₂₀	—	8	1	no	—
1037	D₂₀	—	8	1	no	—
1038	C₄×D₅	—	2	1	no	—
1039	C₄×D₅	—	2	1	no	—
1040	C₄×D₅	—	4	1	no	—
1041	C₄×D₅	—	4	1	no	—
1042	C₄×D₅	—	4	1	no	—
1043	C₄×D₅	—	4	1	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	—	4	2	no	—
1047	C₄×D₅	—	4	2	no	—
1048	C₄×D₅	—	4	2	no	—
1049	C₄×D₅	—	4	2	no	—
1050	C₄×D₅	—	4	2	no	—
1051	C₄×D₅	—	4	2	no	—
1052	C₄×D₅	—	8	1	no	—
1053	C₄×D₅	—	8	1	no	—
1054	C₄×D₅	—	8	1	no	—
1055	C₄×D₅	—	8	1	no	—
1056	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1057	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1058	Dic₁₀	—	2	2	no	—
1059	Dic₁₀	—	2	1	no	—
1060	Dic₁₀	—	2	1	no	—
1061	Dic₁₀	—	2	1	no	—
1062	Dic₁₀	—	2	1	no	—
1063	Dic₁₀	—	4	2	no	—
1064	Dic₁₀	—	4	2	no	—
1065	Dic₁₀	—	4	2	no	—
1066	Dic₁₀	—	4	2	no	—
1067	Dic₁₀	—	8	1	no	—
1068	C₅×C₈	—	2	1	no	—
1069	C₅×C₈	—	2	1	no	—
1070	C₅×C₈	—	2	1	no	—
1071	C₅×C₈	—	2	1	no	—
1072	#168	—	2	1	no	—
1073	#168	—	2	1	no	—
1074	#168	—	2	1	no	—
1075	#168	—	2	1	no	—
1076	2₋¹⁺⁴	—	20	2	no	—
1077	2₋¹⁺⁴	—	20	2	no	—
1078	H(5,𝔽₂)	—	20	2	no	—
1079	H(5,𝔽₂)	—	20	2	no	—
1080	C₂×#41	—	5	1	no	—
1081	C₂×#41	—	5	1	no	—
1082	C₂×#41	—	5	1	no	—
1083	C₂×#41	—	5	1	no	—
1084	C₂×#41	—	5	1	no	—
1085	C₂×#41	—	5	1	no	—
1086	C₂×#41	—	5	1	no	—
1087	C₂×#41	—	5	1	no	—
1088	C₂×#41	—	10	1	no	—
1089	C₂×#41	—	10	1	no	—
1090	C₂×#41	—	10	1	no	—
1091	C₂×#41	—	10	1	no	—
1092	C₂×#41	—	10	1	no	—
1093	C₂×#41	—	10	1	no	—
1094	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1095	C₂²×Q₈	—	5	1	no	—
1096	C₂²×Q₈	—	5	1	no	—
1097	C₂²×Q₈	—	10	1	no	—
1098	C₂²×Q₈	—	10	1	no	—
1099	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²×D₄	—	5	1	no	—
1101	C₂²×D₄	—	5	1	no	—
1102	C₂²×D₄	—	5	1	no	—
1103	C₂²×D₄	—	10	1	no	—
1104	C₂²×D₄	—	10	1	no	—
1105	C₂²×D₄	—	10	1	no	—
1106	#137	—	20	2	no	—
1107	#137	—	20	2	no	—
1108	AGL(1,ℤ/8)	—	20	2	no	—
1109	AGL(1,ℤ/8)	—	20	2	no	—
1110	#135	—	20	2	no	—
1111	#135	—	20	2	no	—
1112	#135	—	20	2	no	—
1113	#135	—	20	2	no	—
1114	C₂×Q₁₆	—	5	1	no	—
1115	C₂×Q₁₆	—	5	1	no	—
1116	C₂×Q₁₆	—	5	1	no	—
1117	C₂×Q₁₆	—	5	1	no	—
1118	C₂×Q₁₆	—	5	1	no	—
1119	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1120	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1122	C₂×SD₁₆	—	5	1	no	—
1123	C₂×SD₁₆	—	5	1	no	—
1124	C₂×SD₁₆	—	5	1	no	—
1125	C₂×SD₁₆	—	5	1	no	—
1126	C₂×SD₁₆	—	5	1	no	—
1127	C₂×SD₁₆	—	5	1	no	—
1128	C₂×SD₁₆	—	5	1	no	—
1129	C₂×SD₁₆	—	5	1	no	—
1130	C₂×SD₁₆	—	5	1	no	—
1131	C₂×SD₁₆	—	5	1	no	—
1132	C₂×SD₁₆	—	5	1	no	—
1133	C₂×SD₁₆	—	5	1	no	—
1134	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1135	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1138	C₂×D₈	—	5	1	no	—
1139	C₂×D₈	—	5	1	no	—
1140	C₂×D₈	—	5	1	no	—
1141	C₂×D₈	—	5	1	no	—
1142	C₂×D₈	—	5	1	no	—
1143	C₂×D₈	—	5	1	no	—
1144	C₂×D₈	—	5	1	no	—
1145	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1146	C₂×M₁₆	—	5	1	no	—
1147	C₂×M₁₆	—	5	1	no	—
1148	C₂²×C₈	—	5	1	no	—
1149	C₂²×C₈	—	5	1	no	—
1150	C₄⋊Q₈	—	5	1	no	—
1151	C₄⋊Q₈	—	5	1	no	—
1152	C₄⋊Q₈	—	5	1	no	—
1153	C₄⋊Q₈	—	5	1	no	—
1154	C₄⋊Q₈	—	5	1	no	—
1155	C₄⋊Q₈	—	10	1	no	—
1156	C₄⋊Q₈	—	10	1	no	—
1157	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1158	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1159	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1160	#127	—	5	1	no	—
1161	#127	—	5	1	no	—
1162	#127	—	5	1	no	—
1163	#127	—	5	1	no	—
1164	#126	—	2	1	no	—
1165	#126	—	10	1	no	—
1166	#126	—	10	1	no	—
1167	#126	—	10	1	no	—
1168	#125	—	10	1	no	—
1169	#125	—	10	1	no	—
1170	#124	—	2	1	no	—
1171	#124	—	5	1	no	—
1172	#124	—	5	1	no	—
1173	#124	—	5	1	no	—
1174	#124	—	5	1	no	—
1175	#124	—	5	1	no	—
1176	#124	—	5	1	no	—
1177	#124	—	5	1	no	—
1178	#124	—	5	1	no	—
1179	#124	—	5	1	no	—
1180	#124	—	10	1	no	—
1181	#124	—	10	1	no	—
1182	#124	—	10	1	no	—
1183	#124	—	10	1	no	—
1184	#124	—	10	1	no	—
1185	#124	—	10	1	no	—
1186	#124	—	10	1	no	—
1187	#124	—	10	1	no	—
1188	#124	—	10	1	no	—
1189	#124	—	10	1	no	—
1190	#124	—	10	1	no	—
1191	#124	C₂²×D₅	1	1	yes	characteristic
1192	#124	C₂²×D₅	1	1	yes	characteristic
1193	#124	C₂²×D₅	1	1	yes	characteristic
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	10	1	no	—
1198	#123	—	10	1	no	—
1199	#123	—	10	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	5	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1222	#121	—	5	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	10	1	no	—
1226	#121	—	10	1	no	—
1227	#121	—	10	1	no	—
1228	#121	—	10	1	no	—
1229	#121	—	10	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	C₂²×D₅	1	1	yes	characteristic
1248	#120	—	10	1	no	—
1249	#120	—	10	1	no	—
1250	#120	—	10	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	#120	—	10	1	no	—
1254	C₄×Q₈	—	5	1	no	—
1255	C₄×Q₈	—	5	1	no	—
1256	C₄×Q₈	—	5	1	no	—
1257	C₄×Q₈	—	5	1	no	—
1258	C₄×Q₈	—	5	1	no	—
1259	C₄×Q₈	—	10	1	no	—
1260	C₄×Q₈	—	10	1	no	—
1261	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	5	1	no	—
1264	C₄×D₄	—	5	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	10	1	no	—
1272	C₄×D₄	—	10	1	no	—
1273	C₄×D₄	—	10	1	no	—
1274	C₄×D₄	—	10	1	no	—
1275	C₄×D₄	—	10	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1286	#117	—	5	1	no	—
1287	#117	—	5	1	no	—
1288	#117	—	10	1	no	—
1289	#117	—	10	1	no	—
1290	#117	—	10	1	no	—
1291	#117	—	10	1	no	—
1292	#117	C₂²×D₅	1	1	yes	characteristic
1293	C₂×C₄⋊C₄	—	5	1	no	—
1294	C₂×C₄⋊C₄	—	5	1	no	—
1295	C₂×C₄⋊C₄	—	10	1	no	—
1296	C₂×C₄⋊C₄	—	10	1	no	—
1297	C₂×C₄⋊C₄	—	10	1	no	—
1298	C₂×C₂²⋊C₄	—	10	1	no	—
1299	C₂×C₂²⋊C₄	—	10	1	no	—
1300	C₂×C₂²⋊C₄	—	10	1	no	—
1301	C₂×C₂²⋊C₄	—	10	1	no	—
1302	C₂×C₂²⋊C₄	—	10	1	no	—
1303	C₂×C₂²⋊C₄	—	10	1	no	—
1304	C₂×C₄²	—	5	1	no	—
1305	C₂×C₄²	—	5	1	no	—
1306	C₂×C₄²	—	5	1	no	—
1307	C₄⋊C₈	—	5	1	no	—
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	—	5	1	no	—
1313	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1314	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	—	5	1	no	—
1324	#103	—	5	1	no	—
1325	#103	C₂²×D₅	1	1	yes	characteristic
1326	#103	C₂²×D₅	1	1	yes	characteristic
1327	#103	C₂²×D₅	1	1	yes	characteristic
1328	#103	C₂²×D₅	1	1	yes	characteristic
1329	#103	C₂²×D₅	1	1	yes	characteristic
1330	#103	C₂²×D₅	1	1	yes	characteristic
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	5	1	no	—
1341	#102	—	5	1	no	—
1342	#102	—	5	1	no	—
1343	#102	—	5	1	no	—
1344	#102	—	5	1	no	—
1345	#102	C₂²×D₅	1	1	yes	characteristic
1346	#102	C₂²×D₅	1	1	yes	characteristic
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1355	#97	—	5	1	no	—
1356	#97	—	5	1	no	—
1357	#97	—	5	1	no	—
1358	#97	—	5	1	no	—
1359	#97	—	5	1	no	—
1360	#97	C₂²×D₅	1	1	yes	characteristic
1361	C₄×C₈	—	5	1	no	—
1362	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1363	C₂²×C₅	—	2	1	no	—
1364	C₂²×C₅	—	2	1	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	4	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	—	4	1	no	—
1370	C₂²×C₅	—	4	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1373	C₂×D₅	—	2	1	no	—
1374	C₂×D₅	—	2	1	no	—
1375	C₂×D₅	—	2	1	no	—
1376	C₂×D₅	—	2	1	no	—
1377	C₂×D₅	—	2	1	no	—
1378	C₂×D₅	—	4	1	no	—
1379	C₂×D₅	—	4	1	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	4	1	no	—
1383	C₂×D₅	—	4	1	no	—
1384	C₂×D₅	—	4	1	no	—
1385	C₂×D₅	—	4	1	no	—
1386	C₂×D₅	—	4	1	no	—
1387	C₂×D₅	—	4	1	no	—
1388	C₂×D₅	—	4	1	no	—
1389	C₂×D₅	—	4	1	no	—
1390	C₂×D₅	—	16	2	no	—
1391	C₂×D₅	—	16	2	no	—
1392	C₂×D₅	—	16	2	no	—
1393	C₂×D₅	#535	1	2	yes	—
1394	C₄×C₅	—	2	1	no	—
1395	C₄×C₅	—	2	1	no	—
1396	C₄×C₅	—	2	1	no	—
1397	C₄×C₅	—	2	1	no	—
1398	C₄×C₅	—	2	1	no	—
1399	C₄×C₅	—	4	1	no	—
1400	C₄×C₅	—	4	1	no	—
1401	C₄×C₅	—	4	1	no	—
1402	C₄×C₅	—	4	1	no	—
1403	C₄×C₅	—	4	1	no	—
1404	C₄×C₅	—	4	1	no	—
1405	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1406	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1407	Dic₅	—	2	1	no	—
1408	Dic₅	—	2	1	no	—
1409	Dic₅	—	2	1	no	—
1410	Dic₅	—	2	1	no	—
1411	Dic₅	—	2	1	no	—
1412	Dic₅	—	4	1	no	—
1413	Dic₅	—	4	1	no	—
1414	Dic₅	—	4	1	no	—
1415	Dic₅	—	4	1	no	—
1416	Dic₅	#535	1	2	yes	—
1417	C₂⁴	—	10	1	no	—
1418	C₂⁴	—	10	1	no	—
1419	C₂⁴	—	10	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	10	2	no	—
1423	#41	—	10	2	no	—
1424	#41	—	10	2	no	—
1425	#41	—	10	2	no	—
1426	#41	—	10	2	no	—
1427	#41	—	10	2	no	—
1428	#41	—	10	2	no	—
1429	#41	—	10	2	no	—
1430	#41	—	10	2	no	—
1431	#41	—	10	2	no	—
1432	#41	—	20	1	no	—
1433	#41	—	20	1	no	—
1434	#41	—	20	4	no	—
1435	#41	—	20	4	no	—
1436	#41	—	20	4	no	—
1437	#41	—	20	1	no	—
1438	#41	—	20	1	no	—
1439	#41	—	20	1	no	—
1440	#41	—	20	1	no	—
1441	#41	—	20	4	no	—
1442	#41	—	40	2	no	—
1443	#41	—	40	2	no	—
1444	C₂×Q₈	—	2	1	no	—
1445	C₂×Q₈	—	2	1	no	—
1446	C₂×Q₈	—	4	1	no	—
1447	C₂×Q₈	—	4	1	no	—
1448	C₂×Q₈	—	5	1	no	—
1449	C₂×Q₈	—	5	1	no	—
1450	C₂×Q₈	—	5	1	no	—
1451	C₂×Q₈	—	10	1	no	—
1452	C₂×Q₈	—	10	1	no	—
1453	C₂×Q₈	—	10	1	no	—
1454	C₂×Q₈	—	10	1	no	—
1455	C₂×Q₈	—	10	2	no	—
1456	C₂×Q₈	—	10	2	no	—
1457	C₂×Q₈	—	10	1	no	—
1458	C₂×Q₈	—	20	1	no	—
1459	C₂×Q₈	—	20	1	no	—
1460	C₂×Q₈	—	20	4	no	—
1461	C₂×Q₈	—	40	2	no	—
1462	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1463	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1465	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	5	1	no	—
1469	C₂×D₄	—	5	1	no	—
1470	C₂×D₄	—	5	1	no	—
1471	C₂×D₄	—	5	1	no	—
1472	C₂×D₄	—	5	1	no	—
1473	C₂×D₄	—	5	1	no	—
1474	C₂×D₄	—	5	1	no	—
1475	C₂×D₄	—	10	1	no	—
1476	C₂×D₄	—	10	1	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	2	no	—
1482	C₂×D₄	—	10	2	no	—
1483	C₂×D₄	—	10	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	10	1	no	—
1494	C₂×D₄	—	10	1	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	20	1	no	—
1499	C₂×D₄	—	20	1	no	—
1500	C₂×D₄	—	20	4	no	—
1501	C₂×D₄	—	20	1	no	—
1502	C₂×D₄	—	20	1	no	—
1503	C₂×D₄	—	20	4	no	—
1504	C₂×D₄	—	20	4	no	—
1505	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1506	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	2	1	no	—
1510	C₂²×C₄	—	5	1	no	—
1511	C₂²×C₄	—	5	1	no	—
1512	C₂²×C₄	—	5	1	no	—
1513	C₂²×C₄	—	5	1	no	—
1514	C₂²×C₄	—	5	1	no	—
1515	C₂²×C₄	—	5	1	no	—
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	10	1	no	—
1520	C₂²×C₄	—	10	1	no	—
1521	C₂²×C₄	—	10	1	no	—
1522	C₂²×C₄	—	10	1	no	—
1523	C₂²×C₄	—	10	1	no	—
1524	C₂²×C₄	—	10	1	no	—
1525	C₂²×C₄	—	10	1	no	—
1526	C₂²×C₄	—	10	1	no	—
1527	C₂²×C₄	—	10	1	no	—
1528	C₂²×C₄	—	10	1	no	—
1529	C₂²×C₄	—	10	1	no	—
1530	C₂²×C₄	—	10	1	no	—
1531	C₂²×C₄	—	10	1	no	—
1532	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1533	Q₁₆	—	4	1	no	—
1534	Q₁₆	—	4	1	no	—
1535	Q₁₆	—	4	1	no	—
1536	Q₁₆	—	20	1	no	—
1537	Q₁₆	—	20	1	no	—
1538	Q₁₆	—	20	1	no	—
1539	Q₁₆	—	20	1	no	—
1540	Q₁₆	—	20	1	no	—
1541	SD₁₆	—	4	1	no	—
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	4	1	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	20	1	no	—
1546	SD₁₆	—	20	1	no	—
1547	SD₁₆	—	20	1	no	—
1548	SD₁₆	—	20	1	no	—
1549	SD₁₆	—	20	1	no	—
1550	SD₁₆	—	20	1	no	—
1551	SD₁₆	—	20	1	no	—
1552	SD₁₆	—	20	1	no	—
1553	SD₁₆	—	20	1	no	—
1554	SD₁₆	—	20	1	no	—
1555	SD₁₆	—	20	1	no	—
1556	SD₁₆	—	20	1	no	—
1557	D₈	—	4	1	no	—
1558	D₈	—	20	1	no	—
1559	D₈	—	20	1	no	—
1560	D₈	—	20	1	no	—
1561	D₈	—	20	1	no	—
1562	D₈	—	20	1	no	—
1563	D₈	—	20	1	no	—
1564	D₈	—	20	1	no	—
1565	M₁₆	—	10	2	no	—
1566	M₁₆	—	10	2	no	—
1567	C₂×C₈	—	5	1	no	—
1568	C₂×C₈	—	5	1	no	—
1569	C₂×C₈	—	5	1	no	—
1570	C₂×C₈	—	5	1	no	—
1571	C₂×C₈	—	10	2	no	—
1572	C₂×C₈	—	10	2	no	—
1573	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1575	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1576	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	5	1	no	—
1585	C₄⋊C₄	—	5	1	no	—
1586	C₄⋊C₄	—	5	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	—	10	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	—	10	1	no	—
1603	C₄⋊C₄	—	10	1	no	—
1604	C₄⋊C₄	—	10	1	no	—
1605	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1606	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1607	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1608	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	5	1	no	—
1619	C₂²⋊C₄	—	5	1	no	—
1620	C₂²⋊C₄	—	5	1	no	—
1621	C₂²⋊C₄	—	5	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	—	10	1	no	—
1648	C₂²⋊C₄	—	10	1	no	—
1649	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1650	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1651	C₄²	—	2	1	no	—
1652	C₄²	—	5	1	no	—
1653	C₄²	—	5	1	no	—
1654	C₄²	—	5	1	no	—
1655	C₄²	—	5	1	no	—
1656	C₄²	—	5	1	no	—
1657	C₄²	—	5	1	no	—
1658	C₄²	—	5	1	no	—
1659	C₄²	—	5	1	no	—
1660	C₄²	—	10	1	no	—
1661	C₄²	—	10	1	no	—
1662	C₄²	—	10	1	no	—
1663	C₄²	C₂³×D₅	1	1	yes	characteristic
1664	C₄²	C₂³×D₅	1	1	yes	characteristic
1665	C₂×C₅	—	4	1	no	—
1666	C₂×C₅	—	8	1	no	—
1667	C₂×C₅	—	8	1	no	—
1668	C₂×C₅	C₂×#535	1	1	yes	characteristic
1669	C₂×C₅	#3585	1	1	yes	characteristic
1670	C₂×C₅	#3586	1	1	yes	characteristic
1671	D₅	—	2	2	no	—
1672	D₅	—	4	1	no	—
1673	D₅	—	8	1	no	—
1674	D₅	—	8	1	no	—
1675	D₅	—	8	1	no	—
1676	D₅	—	8	1	no	—
1677	C₂³	—	2	1	no	—
1678	C₂³	—	2	1	no	—
1679	C₂³	—	5	1	no	—
1680	C₂³	—	5	1	no	—
1681	C₂³	—	10	1	no	—
1682	C₂³	—	10	1	no	—
1683	C₂³	—	10	1	no	—
1684	C₂³	—	10	1	no	—
1685	C₂³	—	20	2	no	—
1686	C₂³	—	20	2	no	—
1687	C₂³	—	20	2	no	—
1688	C₂³	—	40	1	no	—
1689	C₂³	—	40	1	no	—
1690	C₂³	—	40	1	no	—
1691	C₂³	—	40	1	no	—
1692	C₂³	—	40	1	no	—
1693	C₂³	—	40	1	no	—
1694	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1695	Q₈	—	2	1	no	—
1696	Q₈	—	2	1	no	—
1697	Q₈	—	2	1	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	4	2	no	—
1704	Q₈	—	8	1	no	—
1705	Q₈	—	10	2	no	—
1706	Q₈	—	10	1	no	—
1707	Q₈	—	10	1	no	—
1708	Q₈	—	10	1	no	—
1709	Q₈	—	10	1	no	—
1710	Q₈	—	20	2	no	—
1711	Q₈	—	20	2	no	—
1712	Q₈	—	20	2	no	—
1713	Q₈	—	20	2	no	—
1714	Q₈	—	40	1	no	—
1715	D₄	—	2	1	no	—
1716	D₄	—	2	1	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	10	2	no	—
1722	D₄	—	10	2	no	—
1723	D₄	—	10	2	no	—
1724	D₄	—	10	1	no	—
1725	D₄	—	10	1	no	—
1726	D₄	—	10	1	no	—
1727	D₄	—	10	1	no	—
1728	D₄	—	10	1	no	—
1729	D₄	—	10	1	no	—
1730	D₄	—	10	1	no	—
1731	D₄	—	10	1	no	—
1732	D₄	—	20	2	no	—
1733	D₄	—	20	2	no	—
1734	D₄	—	20	2	no	—
1735	D₄	—	20	2	no	—
1736	D₄	—	20	2	no	—
1737	D₄	—	20	2	no	—
1738	D₄	—	20	2	no	—
1739	D₄	—	20	2	no	—
1740	D₄	—	20	2	no	—
1741	D₄	—	20	2	no	—
1742	D₄	—	20	2	no	—
1743	D₄	—	20	2	no	—
1744	D₄	—	40	1	no	—
1745	D₄	—	40	1	no	—
1746	D₄	—	40	1	no	—
1747	D₄	—	40	1	no	—
1748	D₄	—	40	1	no	—
1749	D₄	—	40	1	no	—
1750	D₄	—	40	1	no	—
1751	D₄	—	40	1	no	—
1752	D₄	—	40	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	4	2	no	—
1762	C₂×C₄	—	4	2	no	—
1763	C₂×C₄	—	5	1	no	—
1764	C₂×C₄	—	5	2	no	—
1765	C₂×C₄	—	5	2	no	—
1766	C₂×C₄	—	5	1	no	—
1767	C₂×C₄	—	5	1	no	—
1768	C₂×C₄	—	5	1	no	—
1769	C₂×C₄	—	5	1	no	—
1770	C₂×C₄	—	5	1	no	—
1771	C₂×C₄	—	8	1	no	—
1772	C₂×C₄	—	10	1	no	—
1773	C₂×C₄	—	10	1	no	—
1774	C₂×C₄	—	10	1	no	—
1775	C₂×C₄	—	10	1	no	—
1776	C₂×C₄	—	10	1	no	—
1777	C₂×C₄	—	10	1	no	—
1778	C₂×C₄	—	20	1	no	—
1779	C₂×C₄	—	20	1	no	—
1780	C₂×C₄	—	20	1	no	—
1781	C₂×C₄	—	20	1	no	—
1782	C₂×C₄	—	20	2	no	—
1783	C₂×C₄	—	20	2	no	—
1784	C₂×C₄	—	20	2	no	—
1785	C₂×C₄	—	20	2	no	—
1786	C₂×C₄	—	20	2	no	—
1787	C₂×C₄	—	20	2	no	—
1788	C₂×C₄	—	20	2	no	—
1789	C₂×C₄	—	20	2	no	—
1790	C₂×C₄	—	20	2	no	—
1791	C₂×C₄	—	20	1	no	—
1792	C₂×C₄	—	20	1	no	—
1793	C₂×C₄	—	40	1	no	—
1794	C₂×C₄	—	40	1	no	—
1795	C₂×C₄	—	40	1	no	—
1796	C₂×C₄	—	40	1	no	—
1797	C₂×C₄	—	40	1	no	—
1798	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1799	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1800	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1801	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1802	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1803	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1804	C₈	—	2	1	no	—
1805	C₈	—	2	1	no	—
1806	C₈	—	2	1	no	—
1807	C₈	—	2	1	no	—
1808	C₈	—	10	1	no	—
1809	C₈	—	10	1	no	—
1810	C₈	—	10	1	no	—
1811	C₈	—	10	1	no	—
1812	C₅	#60829	1	1	yes	characteristic, complemented, Sylow
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	5	2	no	—
1823	C₂²	—	10	1	no	—
1824	C₂²	—	10	1	no	—
1825	C₂²	—	10	1	no	—
1826	C₂²	—	10	1	no	—
1827	C₂²	—	10	1	no	—
1828	C₂²	—	20	1	no	—
1829	C₂²	—	20	1	no	—
1830	C₂²	—	20	1	no	—
1831	C₂²	—	20	1	no	—
1832	C₂²	—	20	1	no	—
1833	C₂²	—	20	1	no	—
1834	C₂²	—	20	1	no	—
1835	C₂²	—	20	1	no	—
1836	C₂²	—	20	1	no	—
1837	C₂²	—	20	1	no	—
1838	C₂²	—	20	1	no	—
1839	C₂²	—	20	1	no	—
1840	C₂²	—	80	2	no	—
1841	C₂²	—	80	2	no	—
1842	C₂²	—	80	2	no	—
1843	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1844	C₄	—	2	1	no	—
1845	C₄	—	2	1	no	—
1846	C₄	—	2	1	no	—
1847	C₄	—	2	1	no	—
1848	C₄	—	2	1	no	—
1849	C₄	—	4	1	no	—
1850	C₄	—	4	1	no	—
1851	C₄	—	4	1	no	—
1852	C₄	—	4	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	5	2	no	—
1856	C₄	—	10	1	no	—
1857	C₄	—	10	1	no	—
1858	C₄	—	10	1	no	—
1859	C₄	—	10	1	no	—
1860	C₄	—	10	1	no	—
1861	C₄	—	20	1	no	—
1862	C₄	—	20	1	no	—
1863	C₄	—	20	1	no	—
1864	C₄	—	20	1	no	—
1865	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1866	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1867	C₂	—	4	1	no	—
1868	C₂	—	8	1	no	—
1869	C₂	—	8	1	no	—
1870	C₂	—	10	2	no	—
1871	C₂	—	20	1	no	—
1872	C₂	—	40	1	no	—
1873	C₂	—	40	1	no	—
1874	C₂	—	40	1	no	—
1875	C₂	—	40	1	no	—
1876	C₂	D₅×#535	1	1	yes	characteristic
1877	C₂	#10619108	1	1	yes	characteristic
1878	C₂	#10619112	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3225	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3225	D₅
hypocenter	C₅	#60829
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3225

Complements

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

N	H ≅ G/N	type
1. #10618427	C₂	semidirect
2. #10618242	C₂	semidirect
3. C₅×#3225	C₂	semidirect
4. #10615194	C₂	semidirect
5. #10615141	C₂	semidirect
6. #10613611	C₂	semidirect
7. #10613600	C₂	semidirect
8. #10613558	C₂	semidirect
9. #10613552	C₂	semidirect
10. #10613419	C₂	semidirect
11. D₅×#489	C₂	semidirect
12. #10613337	C₂	semidirect
13. #10613332	C₂	semidirect
14. #10612337	C₂	semidirect
15. #10612333	C₂	semidirect
16. #10612273	C₂	semidirect
17. #10612269	C₂	semidirect
18. #10612213	C₂	semidirect
19. #10612210	C₂	semidirect
20. #10612165	C₂	semidirect
21. #10612162	C₂	semidirect
22. #10611962	C₂	semidirect
23. #10611953	C₂	semidirect
24. #10611933	C₂	semidirect
25. #10611917	C₂	semidirect
26. #10611818	C₂	semidirect
27. #10611809	C₂	semidirect
28. #10611789	C₂	semidirect
29. #10611773	C₂	semidirect
30. #10611123	C₂	semidirect
31. #10611104	C₂	semidirect
34. C₅×#542	C₂²	semidirect
39. C₂×#4065	C₂²	semidirect
40. C₂×#4064	C₂²	semidirect
42. C₂×#4062	C₂²	semidirect
43. C₂×#4061	C₂²	semidirect
46. #66067	C₂²	semidirect
51. D₅×C₄⋊Q₈	C₂²	semidirect
54. #66016	C₂²	semidirect
61. #66002	C₂²	semidirect
75. #65956	C₂²	semidirect
77. #65930	C₂²	semidirect
78. #65912	C₂²	semidirect
79. #65908	C₂²	semidirect
80. #65882	C₂²	semidirect
81. #65880	C₂²	semidirect
82. #65868	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#495	C₂²	semidirect
87. C₅×#489	C₂²	semidirect
88. C₅×#487	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#462	C₂²	semidirect
92. C₅×#461	C₂²	semidirect
94. C₅×#451	C₂²	semidirect
96. C₅×#448	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
100. #65517	C₂²	semidirect
101. #65516	C₂²	semidirect
102. #65479	C₂²	semidirect
103. #65479	C₂²	semidirect
104. #65479	C₂²	semidirect
106. #65476	C₂²	semidirect
107. #65475	C₂²	semidirect
108. #65474	C₂²	semidirect
109. #65474	C₂²	semidirect
110. #65471	C₂²	semidirect
111. #65465	C₂²	semidirect
112. #65465	C₂²	semidirect
113. #65465	C₂²	semidirect
115. #65461	C₂²	semidirect
116. #65459	C₂²	semidirect
118. #65456	C₂²	semidirect
119. #65454	C₂²	semidirect
120. #65454	C₂²	semidirect
121. #65452	C₂²	semidirect
122. #65451	C₂²	semidirect
124. #65443	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65379	C₂²	semidirect
127. #65378	C₂²	semidirect
128. #65377	C₂²	semidirect
129. #65375	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65370	C₂²	semidirect
132. #65348	C₂²	semidirect
133. #65348	C₂²	semidirect
134. #65347	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65344	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65336	C₂²	semidirect
140. #65326	C₂²	semidirect
142. #65317	C₂²	semidirect
143. #65316	C₂²	semidirect
144. #65305	C₂²	semidirect
145. #65304	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65132	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65124	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65108	C₂²	semidirect
157. #65107	C₂²	semidirect
159. #65100	C₂²	semidirect
161. #65099	C₂²	semidirect
162. #65097	C₂²	semidirect
163. #65095	C₂²	semidirect
166. #65092	C₂²	semidirect
167. #65092	C₂²	semidirect
168. D₅×#103	C₂²	semidirect
169. D₅×#103	C₂²	semidirect
170. #65087	C₂²	semidirect
171. #65087	C₂²	semidirect
172. #65084	C₂²	semidirect
173. #65084	C₂²	semidirect
174. #65084	C₂²	semidirect
175. #65084	C₂²	semidirect
176. #65084	C₂²	semidirect
177. #65084	C₂²	semidirect
178. #65082	C₂²	semidirect
179. #65075	C₂²	semidirect
184. #65054	C₂²	semidirect
185. #65054	C₂²	semidirect
186. #65051	C₂²	semidirect
187. #65023	C₂²	semidirect
188. #65022	C₂²	semidirect
193. #65008	C₂²	semidirect
194. #65008	C₂²	semidirect
195. #65003	C₂²	semidirect
196. #65001	C₂²	semidirect
197. #64998	C₂²	semidirect
198. D₅×#97	C₂²	semidirect
199. #64985	C₂²	semidirect
200. #64983	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₄×#676	C₂²	semidirect
496. #3225	D₅	semidirect
799. #542	C₂×D₅	semidirect
828. #497	C₂×D₅	semidirect
838. #495	C₂×D₅	semidirect
850. #489	C₂×D₅	semidirect
852. #487	C₂×D₅	semidirect
862. #464	C₂×D₅	semidirect
870. #463	C₂×D₅	semidirect
874. #462	C₂×D₅	semidirect
878. #461	C₂×D₅	semidirect
898. #451	C₂×D₅	semidirect
914. #448	C₂×D₅	semidirect
922. #433	C₂×D₅	semidirect
1812. C₅	#60829	semidirect

Maximal subgroups

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

subgroup	index
#10618427	2
#10618242	2
C₅×#3225	2
#10615194	2
#10615141	2
#10613611	2
#10613600	2
#10613558	2
#10613552	2
#10613419	2
D₅×#489	2
#10613337	2
#10613332	2
#10612337	2
#10612333	2
#10612273	2
#10612269	2
#10612213	2
#10612210	2
#10612165	2
#10612162	2
#10611962	2
#10611953	2
#10611933	2
#10611917	2
#10611818	2
#10611809	2
#10611789	2
#10611773	2
#10611123	2
#10611104	2
#60829	5