Subgroups — D₅×#3317 #12976010

Order 1280.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#550	C₂	1	1	yes	maximal, characteristic
3	C₅×#3317	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615335	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615304	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613457	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#490	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613140	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#482	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613063	C₂	1	1	yes	maximal, characteristic, complemented
11	D₅×#481	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612980	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#479	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612555	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612424	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#465	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612129	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#460	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611988	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611987	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611575	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#441	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611245	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#435	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610632	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#417	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610589	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#416	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₅×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×#550	C₂²	1	1	yes	characteristic
36	#66168	C₂²	1	1	yes	characteristic
37	#66168	C₂²	1	1	yes	characteristic
38	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
39	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
43	#66052	—	2	1	no	—
44	#66052	C₂²	1	1	yes	characteristic
45	D₅×#127	—	2	1	no	—
46	D₅×#127	C₂²	1	1	yes	characteristic
47	#66042	—	2	1	no	—
48	D₅×#126	—	2	1	no	—
49	#66028	C₂²	1	1	yes	characteristic, complemented
50	#66027	—	2	1	no	—
51	D₅×#125	—	2	1	no	—
52	D₅×#125	C₂²	1	1	yes	characteristic
53	D₅×#123	—	2	1	no	—
54	#65984	—	2	1	no	—
55	#65976	C₂²	1	1	yes	characteristic, complemented
56	#65973	C₂²	1	1	yes	characteristic, complemented
57	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₅×#121	—	2	1	no	—
60	D₅×#121	—	2	1	no	—
61	D₅×#121	C₂²	1	1	yes	characteristic
62	D₅×#121	C₂²	1	1	yes	characteristic
63	#65933	—	2	1	no	—
64	#65933	—	2	1	no	—
65	#65933	C₂²	1	1	yes	characteristic
66	#65933	C₂²	1	1	yes	characteristic
67	#65915	C₂²	1	1	yes	characteristic, complemented
68	#65911	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
71	#65887	—	2	1	no	—
72	#65887	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₅	—	2	1	no	—
74	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
75	#65875	C₂²	1	1	yes	characteristic, complemented
76	#65865	—	2	1	no	—
77	#65863	C₂²	1	1	yes	characteristic, complemented
78	D₅×#117	—	2	1	no	—
79	D₅×#117	C₂²	1	1	yes	characteristic
80	#65847	C₂²	1	1	yes	characteristic, complemented
81	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
82	C₅×#490	C₂²	1	1	yes	characteristic, complemented
83	C₅×#482	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#468	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#460	C₂²	1	1	yes	characteristic, complemented
89	C₅×#452	C₂²	1	1	yes	characteristic, complemented
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#441	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#417	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic, complemented
97	#65522	C₂²	1	1	yes	characteristic, complemented
98	#65521	C₂²	1	1	yes	characteristic, complemented
99	#65476	C₂²	1	1	yes	characteristic, complemented
100	#65476	C₂²	1	1	yes	characteristic, complemented
101	#65473	C₂²	1	1	yes	characteristic, complemented
102	#65463	C₂²	1	1	yes	characteristic, complemented
103	#65462	C₂²	1	1	yes	characteristic, complemented
104	#65462	C₂²	1	1	yes	characteristic, complemented
105	#65460	C₂²	1	1	yes	characteristic, complemented
106	#65452	C₂²	1	1	yes	characteristic, complemented
107	#65452	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65422	C₂²	1	1	yes	characteristic, complemented
110	#65416	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic, complemented
113	#65400	C₂²	1	1	yes	characteristic, complemented
114	#65364	C₂²	1	1	yes	characteristic, complemented
115	#65360	C₂²	1	1	yes	characteristic, complemented
116	#65356	C₂²	1	1	yes	characteristic, complemented
117	#65352	C₂²	1	1	yes	characteristic, complemented
118	#65338	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65336	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65331	C₂²	1	1	yes	characteristic, complemented
123	#65330	C₂²	1	1	yes	characteristic, complemented
124	#65324	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	#65319	C₂²	1	1	yes	characteristic, complemented
127	#65319	C₂²	1	1	yes	characteristic, complemented
128	#65316	C₂²	1	1	yes	characteristic, complemented
129	#65311	C₂²	1	1	yes	characteristic, complemented
130	#65300	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65257	C₂²	1	1	yes	characteristic, complemented
134	#65255	C₂²	1	1	yes	characteristic, complemented
135	#65175	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	D₅×#107	C₂²	1	1	yes	characteristic
138	#65166	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65153	C₂²	1	1	yes	characteristic, complemented
141	#65152	C₂²	1	1	yes	characteristic, complemented
142	#65152	C₂²	1	1	yes	characteristic, complemented
143	D₅×#106	C₂²	1	1	yes	characteristic
144	D₅×#106	C₂²	1	1	yes	characteristic
145	#65146	C₂²	1	1	yes	characteristic, complemented
146	#65142	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic, complemented
148	#65125	C₂²	1	1	yes	characteristic, complemented
149	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65101	C₂²	1	1	yes	characteristic, complemented
152	#65099	C₂²	1	1	yes	characteristic, complemented
153	#65099	C₂²	1	1	yes	characteristic, complemented
154	#65096	C₂²	1	1	yes	characteristic, complemented
155	#65093	C₂²	1	1	yes	characteristic, complemented
156	#65093	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	D₅×#103	C₂²	1	1	yes	characteristic
160	D₅×#103	C₂²	1	1	yes	characteristic
161	D₅×#103	C₂²	1	1	yes	characteristic
162	D₅×#103	C₂²	1	1	yes	characteristic
163	#65088	C₂²	1	1	yes	characteristic, complemented
164	#65085	C₂²	1	1	yes	characteristic, complemented
165	#65078	C₂²	1	1	yes	characteristic, complemented
166	#65078	C₂²	1	1	yes	characteristic, complemented
167	#65073	C₂²	1	1	yes	characteristic, complemented
168	#65072	C₂²	1	1	yes	characteristic, complemented
169	#65072	C₂²	1	1	yes	characteristic, complemented
170	#65069	C₂²	1	1	yes	characteristic, complemented
171	#65068	C₂²	1	1	yes	characteristic, complemented
172	#65067	C₂²	1	1	yes	characteristic, complemented
173	#65066	C₂²	1	1	yes	characteristic, complemented
174	#65066	C₂²	1	1	yes	characteristic, complemented
175	#65061	C₂²	1	1	yes	characteristic, complemented
176	#65061	C₂²	1	1	yes	characteristic, complemented
177	#65060	C₂²	1	1	yes	characteristic, complemented
178	#65060	C₂²	1	1	yes	characteristic, complemented
179	D₅×#102	C₂²	1	1	yes	characteristic
180	D₅×#102	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	D₅×#102	C₂²	1	1	yes	characteristic
185	#65053	C₂²	1	1	yes	characteristic, complemented
186	#65053	C₂²	1	1	yes	characteristic, complemented
187	#65053	C₂²	1	1	yes	characteristic, complemented
188	#65053	C₂²	1	1	yes	characteristic, complemented
189	#65051	C₂²	1	1	yes	characteristic, complemented
190	#65051	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65024	C₂²	1	1	yes	characteristic, complemented
193	#65022	C₂²	1	1	yes	characteristic, complemented
194	#65022	C₂²	1	1	yes	characteristic, complemented
195	#65019	C₂²	1	1	yes	characteristic, complemented
196	#65017	C₂²	1	1	yes	characteristic, complemented
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#65002	C₂²	1	1	yes	characteristic, complemented
201	#64995	C₂²	1	1	yes	characteristic, complemented
202	D₅×#97	C₂²	1	1	yes	characteristic
203	C₂×#3317	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	D₅×#41	—	2	4	no	—
207	D₅×#41	—	2	4	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×#711	—	2	1	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	C₂³	1	1	yes	characteristic
217	C₂×#711	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₅	—	2	1	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	D₄	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×#709	—	2	1	no	—
228	C₂×#709	—	2	1	no	—
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	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×M₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
241	C₅×#127	—	2	1	no	—
242	C₅×#127	C₂³	1	1	yes	characteristic
243	C₅×#126	—	2	1	no	—
244	C₅×#125	—	2	1	no	—
245	C₅×#125	C₂³	1	1	yes	characteristic
246	C₅×#123	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₅×#121	—	2	1	no	—
250	C₅×#121	—	2	1	no	—
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#121	C₂³	1	1	yes	characteristic
253	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
254	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
255	C₄×C₅×D₄	—	2	1	no	—
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	—	2	1	no	—
258	C₅×#117	C₂³	1	1	yes	characteristic
259	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	#4092	C₂³	1	1	yes	characteristic
261	#4092	C₂³	1	1	yes	characteristic
262	Q₈×Dic₅	C₂³	1	1	yes	characteristic
263	Q₈×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#688	C₂³	1	1	yes	characteristic
267	C₂×#688	C₂³	1	1	yes	characteristic
268	#4086	—	2	1	no	—
269	#4086	—	2	1	no	—
270	#4086	—	2	1	no	—
271	#4086	—	2	1	no	—
272	#4086	—	2	1	no	—
273	#4086	—	2	1	no	—
274	#4086	—	2	1	no	—
275	#4086	—	2	1	no	—
276	#4086	C₂³	1	1	yes	characteristic
277	#4086	C₂³	1	1	yes	characteristic
278	#4085	—	2	1	no	—
279	#4085	—	2	1	no	—
280	#4085	—	2	1	no	—
281	#4085	—	2	1	no	—
282	#4085	—	2	1	no	—
283	#4085	—	2	1	no	—
284	#4084	—	2	1	no	—
285	#4084	—	2	1	no	—
286	#4084	C₂³	1	1	yes	characteristic
287	#4084	C₂³	1	1	yes	characteristic
288	#4081	—	2	1	no	—
289	D₄×Dic₅	—	2	1	no	—
290	D₄×Dic₅	D₄	1	1	yes	characteristic
291	C₂×#687	C₂³	1	1	yes	characteristic
292	C₂×#687	C₂³	1	1	yes	characteristic
293	#4076	—	2	1	no	—
294	#4076	—	2	1	no	—
295	#4076	C₂³	1	1	yes	characteristic
296	#4076	C₂³	1	1	yes	characteristic
297	#4075	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
302	#4072	—	2	1	no	—
303	#4072	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
305	#4070	C₂³	1	1	yes	characteristic
306	#4070	C₂³	1	1	yes	characteristic
307	C₂×#683	—	2	1	no	—
308	C₂×#681	C₂³	1	1	yes	characteristic
309	C₂²×#168	C₂³	1	1	yes	characteristic
310	D₅×Q₁₆	—	2	4	no	—
311	D₅×SD₁₆	—	4	2	no	—
312	D₅×SD₁₆	—	4	2	no	—
313	D₅×M₁₆	—	4	2	no	—
314	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
315	C₂×#677	C₂³	1	1	yes	characteristic
316	C₂×#677	C₂³	1	1	yes	characteristic
317	C₂×#676	C₂³	1	1	yes	characteristic
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₅	—	4	2	no	—
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	#4044	—	2	1	no	—
327	#4044	—	2	1	no	—
328	#4044	—	2	1	no	—
329	#4043	C₂³	1	1	yes	characteristic
330	#4043	C₂³	1	1	yes	characteristic
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4041	—	2	1	no	—
334	#4041	—	2	1	no	—
335	#4041	C₂³	1	1	yes	characteristic
336	#4041	C₂³	1	1	yes	characteristic
337	#4040	—	2	1	no	—
338	#4040	—	2	1	no	—
339	#4039	—	2	1	no	—
340	#4039	D₄	1	1	yes	characteristic
341	#4038	—	2	1	no	—
342	#4038	—	2	1	no	—
343	#4038	C₂³	1	1	yes	characteristic
344	#4038	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	—	2	1	no	—
348	D₅×C₄⋊C₄	—	2	1	no	—
349	D₅×C₄⋊C₄	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	—	2	1	no	—
353	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	#4036	—	2	1	no	—
361	#4036	—	2	1	no	—
362	#4036	C₂³	1	1	yes	characteristic
363	#4036	C₂³	1	1	yes	characteristic
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4035	—	2	1	no	—
369	#4035	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	C₂³	1	1	yes	characteristic
373	#4033	C₂³	1	1	yes	characteristic
374	#4032	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	D₄	1	1	yes	characteristic
386	#4027	D₄	1	1	yes	characteristic
387	D₅×C₂²⋊C₄	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
393	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4023	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4022	—	2	1	no	—
403	#4020	—	2	1	no	—
404	#4020	C₂³	1	1	yes	characteristic
405	C₄×D₂₀	—	2	1	no	—
406	C₄×D₂₀	C₂³	1	1	yes	characteristic
407	#4018	—	2	1	no	—
408	#4018	—	2	1	no	—
409	#4018	—	2	1	no	—
410	C₄²×D₅	—	2	1	no	—
411	C₄²×D₅	—	2	1	no	—
412	C₄²×D₅	—	2	1	no	—
413	C₄²×D₅	C₂³	1	1	yes	characteristic
414	#4016	—	2	1	no	—
415	#4016	C₂³	1	1	yes	characteristic
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3950	C₂³	1	1	yes	characteristic
460	#3949	C₂³	1	1	yes	characteristic
461	#3949	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3947	C₂³	1	1	yes	characteristic
467	#3947	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3940	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	C₂×#552	—	5	1	no	—
489	C₂×#550	—	5	1	no	—
490	#3317	—	5	1	no	—
491	#3317	—	5	1	no	—
492	#3317	—	5	1	no	—
493	#3317	—	5	1	no	—
494	#3317	—	5	1	no	—
495	#3317	—	5	1	no	—
496	#3317	—	5	1	no	—
497	#3317	—	5	1	no	—
498	#3317	—	5	1	no	—
499	#3317	—	5	1	no	—
500	#3317	—	5	1	no	—
501	#3317	—	5	1	no	—
502	#3317	—	5	1	no	—
503	#3317	—	5	1	no	—
504	#3317	—	5	1	no	—
505	#3317	D₅	1	1	yes	characteristic, direct product factor
506	C₂×#490	—	5	1	no	—
507	C₂×#481	—	5	1	no	—
508	C₂×#482	—	5	1	no	—
509	C₂×#479	—	5	1	no	—
510	C₂×#468	—	5	1	no	—
511	C₂×#465	—	5	1	no	—
512	C₂×#460	—	5	1	no	—
513	C₂×#452	—	5	1	no	—
514	C₂×#452	—	5	1	no	—
515	C₂×#441	—	5	1	no	—
516	C₂×#435	—	5	1	no	—
517	C₂×#417	—	5	1	no	—
518	C₂×#416	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₅×#41	—	2	2	no	—
524	C₅×#41	—	2	2	no	—
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	4	1	no	—
527	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
564	#713	—	2	2	no	—
565	#713	—	2	2	no	—
566	#713	—	4	1	no	—
567	#713	—	4	1	no	—
568	Q₈×D₅	—	2	2	no	—
569	Q₈×D₅	—	2	2	no	—
570	Q₈×D₅	—	2	2	no	—
571	Q₈×D₅	#41	1	4	yes	—
572	#711	—	2	2	no	—
573	#711	—	2	2	no	—
574	#711	—	4	1	no	—
575	#711	—	4	1	no	—
576	#711	—	4	4	no	—
577	#711	—	4	4	no	—
578	D₄×D₅	—	2	2	no	—
579	D₄×D₅	—	2	2	no	—
580	D₄×D₅	—	2	2	no	—
581	D₄×D₅	—	2	2	no	—
582	D₄×D₅	—	4	2	no	—
583	D₄×D₅	—	4	4	no	—
584	D₄×D₅	—	4	4	no	—
585	D₄×D₅	—	4	4	no	—
586	D₄×D₅	—	8	2	no	—
587	D₄×D₅	—	8	2	no	—
588	D₄×D₅	—	8	2	no	—
589	#709	—	2	2	no	—
590	#709	—	2	2	no	—
591	#709	—	4	4	no	—
592	#709	—	4	4	no	—
593	#709	—	4	1	no	—
594	#709	—	4	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	C₂×D₄	1	1	yes	characteristic
602	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
603	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅	—	2	1	no	—
605	C₂×C₄×D₅	—	2	2	no	—
606	C₂×C₄×D₅	—	2	2	no	—
607	C₂×C₄×D₅	—	2	2	no	—
608	C₂×C₄×D₅	—	2	2	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
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	—	4	4	no	—
621	C₂×C₄×D₅	—	4	4	no	—
622	C₂×C₄×D₅	—	4	4	no	—
623	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₁₀	—	2	1	no	—
633	C₂×Dic₁₀	—	2	1	no	—
634	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
636	C₅×Q₁₆	—	2	2	no	—
637	C₅×SD₁₆	—	4	1	no	—
638	C₅×SD₁₆	—	4	1	no	—
639	C₅×M₁₆	—	4	1	no	—
640	C₂×C₅×C₈	—	4	1	no	—
641	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
643	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	—	2	1	no	—
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅	—	2	1	no	—
665	C₄²×C₅	—	2	1	no	—
666	C₄²×C₅	—	2	1	no	—
667	C₄²×C₅	C₂⁴	1	1	yes	characteristic
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
675	#689	—	2	2	no	—
676	#689	—	2	2	no	—
677	#688	—	4	1	no	—
678	#688	—	4	1	no	—
679	#687	—	4	1	no	—
680	#687	—	4	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	C₂×D₄	1	1	yes	characteristic
692	#685	C₂×D₄	1	1	yes	characteristic
693	#685	C₂×D₄	1	1	yes	characteristic
694	#685	C₂×D₄	1	1	yes	characteristic
695	C₄⋊Dic₅	—	2	1	no	—
696	C₄⋊Dic₅	—	2	1	no	—
697	C₄⋊Dic₅	—	2	1	no	—
698	C₄⋊Dic₅	—	2	1	no	—
699	C₄⋊Dic₅	—	2	1	no	—
700	C₄⋊Dic₅	—	2	1	no	—
701	C₄⋊Dic₅	—	2	1	no	—
702	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
705	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	C₂×D₄	1	1	yes	characteristic
726	#683	C₂×D₄	1	1	yes	characteristic
727	C₄×Dic₅	—	2	1	no	—
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	C₂×#168	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	Dic₂₀	—	2	2	no	—
746	#677	—	4	1	no	—
747	#677	—	4	1	no	—
748	#676	—	4	1	no	—
749	#676	—	4	1	no	—
750	C₈×D₅	—	2	2	no	—
751	C₈×D₅	—	2	2	no	—
752	C₈×D₅	—	2	2	no	—
753	C₈×D₅	—	2	2	no	—
754	C₈×D₅	—	4	1	no	—
755	C₈×D₅	—	4	1	no	—
756	C₂²×#41	—	5	1	no	—
757	C₂²×#41	—	5	1	no	—
758	C₂²×Q₁₆	—	5	1	no	—
759	C₂²×SD₁₆	—	5	1	no	—
760	C₂²×SD₁₆	—	5	1	no	—
761	C₂²×M₁₆	—	5	1	no	—
762	C₂³×C₈	—	5	1	no	—
763	#552	—	5	1	no	—
764	#552	—	5	1	no	—
765	#552	—	5	1	no	—
766	#552	—	5	1	no	—
767	#552	—	5	1	no	—
768	#552	—	5	1	no	—
769	#552	—	5	1	no	—
770	#552	—	10	1	no	—
771	#552	—	10	1	no	—
772	#552	—	10	1	no	—
773	#552	—	10	1	no	—
774	#552	C₂×D₅	1	1	yes	characteristic, complemented
775	#550	—	5	1	no	—
776	#550	—	5	1	no	—
777	#550	—	5	1	no	—
778	#550	—	5	1	no	—
779	#550	—	5	1	no	—
780	#550	—	5	1	no	—
781	#550	—	5	1	no	—
782	#550	—	10	1	no	—
783	#550	—	10	1	no	—
784	#550	—	10	1	no	—
785	#550	—	10	1	no	—
786	#550	C₂×D₅	1	1	yes	characteristic
787	C₂×#127	—	5	1	no	—
788	C₂×#127	—	10	1	no	—
789	C₂×#126	—	10	1	no	—
790	C₂×#125	—	5	1	no	—
791	C₂×#125	—	10	1	no	—
792	C₂×#123	—	10	1	no	—
793	C₂×C₂²⋊Q₈	—	5	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×#121	—	5	1	no	—
796	C₂×#121	—	5	1	no	—
797	C₂×#121	—	10	1	no	—
798	C₂×#121	—	10	1	no	—
799	C₂×C₄×Q₈	—	5	1	no	—
800	C₂×C₄×Q₈	—	5	1	no	—
801	C₂×C₄×D₄	—	5	1	no	—
802	C₂×C₄×D₄	—	10	1	no	—
803	C₂×#117	—	5	1	no	—
804	C₂×#117	—	10	1	no	—
805	C₂²×C₄⋊C₄	—	5	1	no	—
806	#490	—	5	1	no	—
807	#490	—	5	1	no	—
808	#490	—	5	1	no	—
809	#490	—	5	1	no	—
810	#490	—	5	1	no	—
811	#490	—	5	1	no	—
812	#490	—	5	1	no	—
813	#490	C₂×D₅	1	1	yes	characteristic, complemented
814	#482	—	5	1	no	—
815	#482	—	5	1	no	—
816	#482	—	5	1	no	—
817	#482	—	5	1	no	—
818	#482	—	5	1	no	—
819	#482	—	5	1	no	—
820	#482	—	5	1	no	—
821	#482	C₂×D₅	1	1	yes	characteristic, complemented
822	#481	—	5	1	no	—
823	#481	—	5	1	no	—
824	#481	—	5	1	no	—
825	#481	—	5	1	no	—
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#481	—	5	1	no	—
829	#481	C₂×D₅	1	1	yes	characteristic, complemented
830	#479	—	5	1	no	—
831	#479	—	5	1	no	—
832	#479	—	5	1	no	—
833	#479	—	5	1	no	—
834	#479	—	5	1	no	—
835	#479	—	5	1	no	—
836	#479	—	5	1	no	—
837	#479	C₂×D₅	1	1	yes	characteristic, complemented
838	#468	—	5	1	no	—
839	#468	—	5	1	no	—
840	#468	—	5	1	no	—
841	#468	—	5	1	no	—
842	#468	—	5	1	no	—
843	#468	—	5	1	no	—
844	#468	—	5	1	no	—
845	#468	C₂×D₅	1	1	yes	characteristic, complemented
846	#465	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	—	5	1	no	—
849	#465	—	5	1	no	—
850	#465	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	C₂×D₅	1	1	yes	characteristic, complemented
854	#460	—	5	1	no	—
855	#460	—	5	1	no	—
856	#460	—	5	1	no	—
857	#460	—	5	1	no	—
858	#460	—	5	1	no	—
859	#460	—	5	1	no	—
860	#460	—	5	1	no	—
861	#460	C₂×D₅	1	1	yes	characteristic, complemented
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	—	5	1	no	—
867	#452	—	5	1	no	—
868	#452	—	5	1	no	—
869	#452	—	5	1	no	—
870	#452	—	5	1	no	—
871	#452	—	5	1	no	—
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	C₂×D₅	1	1	yes	characteristic, complemented
877	#452	C₂×D₅	1	1	yes	characteristic, complemented
878	#441	—	5	1	no	—
879	#441	—	5	1	no	—
880	#441	—	5	1	no	—
881	#441	—	5	1	no	—
882	#441	—	5	1	no	—
883	#441	—	5	1	no	—
884	#441	—	5	1	no	—
885	#441	C₂×D₅	1	1	yes	characteristic, complemented
886	#435	—	5	1	no	—
887	#435	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	—	5	1	no	—
893	#435	C₂×D₅	1	1	yes	characteristic, complemented
894	C₂×#107	—	5	1	no	—
895	C₂×#106	—	5	1	no	—
896	C₂×#106	—	5	1	no	—
897	C₂×C₄⋊C₈	—	5	1	no	—
898	#417	—	5	1	no	—
899	#417	—	5	1	no	—
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#417	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#417	C₂×D₅	1	1	yes	characteristic, complemented
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	#416	—	5	1	no	—
909	#416	—	5	1	no	—
910	#416	—	5	1	no	—
911	#416	—	5	1	no	—
912	#416	—	5	1	no	—
913	#416	C₂×D₅	1	1	yes	characteristic, complemented
914	C₂×#103	—	5	1	no	—
915	C₂×#103	—	5	1	no	—
916	C₂×#103	—	5	1	no	—
917	C₂×#103	—	5	1	no	—
918	C₂×#102	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	—	5	1	no	—
924	C₂×C₂²⋊C₈	—	5	1	no	—
925	C₂×C₂²⋊C₈	—	5	1	no	—
926	C₂×#97	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂²×D₅	—	2	2	no	—
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	2	no	—
935	C₂²×D₅	—	2	2	no	—
936	C₂²×D₅	—	2	2	no	—
937	C₂²×D₅	—	2	1	no	—
938	C₂²×D₅	—	2	1	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	4	2	no	—
942	C₂²×D₅	—	4	2	no	—
943	C₂²×D₅	—	4	2	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
946	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
947	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
948	C₅×Q₈	—	2	1	no	—
949	C₅×Q₈	—	2	1	no	—
950	C₅×Q₈	—	2	1	no	—
951	C₅×Q₈	C₂×#41	1	2	yes	—
952	C₅×D₄	—	2	1	no	—
953	C₅×D₄	—	2	1	no	—
954	C₅×D₄	—	2	1	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	4	1	no	—
957	C₅×D₄	—	4	2	no	—
958	C₅×D₄	—	4	2	no	—
959	C₅×D₄	—	4	2	no	—
960	C₅×D₄	—	8	1	no	—
961	C₅×D₄	—	8	1	no	—
962	C₅×D₄	—	8	1	no	—
963	C₂×C₄×C₅	—	2	1	no	—
964	C₂×C₄×C₅	—	2	1	no	—
965	C₂×C₄×C₅	—	2	1	no	—
966	C₂×C₄×C₅	—	2	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	4	2	no	—
974	C₂×C₄×C₅	—	4	2	no	—
975	C₂×C₄×C₅	—	4	2	no	—
976	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
981	C₂²⋊D₅	—	4	1	no	—
982	C₂²⋊D₅	—	4	1	no	—
983	C₂²⋊D₅	—	4	2	no	—
984	C₂²⋊D₅	—	4	2	no	—
985	C₂²⋊D₅	—	4	2	no	—
986	C₂²⋊D₅	—	4	2	no	—
987	C₂²⋊D₅	—	4	2	no	—
988	C₂²⋊D₅	—	4	2	no	—
989	C₂²⋊D₅	—	4	2	no	—
990	C₂²⋊D₅	—	4	2	no	—
991	C₂²⋊D₅	—	8	1	no	—
992	C₂²⋊D₅	—	8	1	no	—
993	C₂²⋊D₅	—	8	1	no	—
994	C₂²⋊D₅	—	8	1	no	—
995	C₂²⋊D₅	—	8	1	no	—
996	C₂²⋊D₅	—	8	1	no	—
997	C₂×Dic₅	—	2	1	no	—
998	C₂×Dic₅	—	2	2	no	—
999	C₂×Dic₅	—	2	2	no	—
1000	C₂×Dic₅	—	2	1	no	—
1001	C₂×Dic₅	—	2	1	no	—
1002	C₂×Dic₅	—	2	1	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	4	2	no	—
1006	C₂×Dic₅	—	4	2	no	—
1007	C₂×Dic₅	—	4	2	no	—
1008	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1009	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	D₂₀	—	2	1	no	—
1014	D₂₀	—	2	1	no	—
1015	D₂₀	—	2	1	no	—
1016	D₂₀	—	2	1	no	—
1017	D₂₀	—	4	1	no	—
1018	D₂₀	—	4	2	no	—
1019	D₂₀	—	4	2	no	—
1020	D₂₀	—	4	2	no	—
1021	D₂₀	—	8	1	no	—
1022	D₂₀	—	8	1	no	—
1023	D₂₀	—	8	1	no	—
1024	C₄×D₅	—	2	2	no	—
1025	C₄×D₅	—	2	2	no	—
1026	C₄×D₅	—	2	4	no	—
1027	C₄×D₅	—	2	2	no	—
1028	C₄×D₅	—	2	2	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	2	no	—
1034	C₄×D₅	—	2	2	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	4	2	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	4	2	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	C₂×#41	1	2	yes	—
1047	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1048	Dic₁₀	—	2	1	no	—
1049	Dic₁₀	—	2	4	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	4	2	no	—
1053	Dic₁₀	C₂×#41	1	2	yes	—
1054	C₅×C₈	—	2	1	no	—
1055	C₅×C₈	—	2	1	no	—
1056	C₅×C₈	—	2	1	no	—
1057	C₅×C₈	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	#168	—	2	1	no	—
1061	#168	—	2	1	no	—
1062	C₂×#41	—	5	1	no	—
1063	C₂×#41	—	5	1	no	—
1064	C₂×#41	—	5	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	10	1	no	—
1069	C₂×#41	—	10	1	no	—
1070	C₂×#41	—	10	1	no	—
1071	C₂×#41	—	10	1	no	—
1072	C₂×#41	—	10	4	no	—
1073	C₂×#41	—	10	4	no	—
1074	C₂×#41	—	20	2	no	—
1075	C₂×#41	—	20	2	no	—
1076	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1077	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1078	C₂²×Q₈	—	5	1	no	—
1079	C₂²×Q₈	—	5	1	no	—
1080	C₂²×D₄	—	5	1	no	—
1081	C₂²×D₄	—	5	1	no	—
1082	C₂²×D₄	—	5	1	no	—
1083	C₂²×D₄	—	10	1	no	—
1084	C₂²×D₄	—	10	1	no	—
1085	C₂²×D₄	—	10	1	no	—
1086	C₂²×D₄	—	10	1	no	—
1087	C₂²×D₄	—	10	1	no	—
1088	C₂²×D₄	—	10	1	no	—
1089	C₂³×C₄	—	5	1	no	—
1090	C₂³×C₄	—	5	1	no	—
1091	C₂³×C₄	—	10	1	no	—
1092	C₂³×C₄	—	10	1	no	—
1093	C₂³×C₄	—	10	1	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	5	1	no	—
1097	C₂×Q₁₆	—	10	4	no	—
1098	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1099	C₂×SD₁₆	—	5	1	no	—
1100	C₂×SD₁₆	—	5	1	no	—
1101	C₂×SD₁₆	—	5	1	no	—
1102	C₂×SD₁₆	—	5	1	no	—
1103	C₂×SD₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	5	1	no	—
1105	C₂×SD₁₆	—	20	2	no	—
1106	C₂×SD₁₆	—	20	2	no	—
1107	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1109	C₂×M₁₆	—	5	1	no	—
1110	C₂×M₁₆	—	5	1	no	—
1111	C₂×M₁₆	—	5	1	no	—
1112	C₂×M₁₆	—	20	2	no	—
1113	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1114	C₂²×C₈	—	5	1	no	—
1115	C₂²×C₈	—	5	1	no	—
1116	C₂²×C₈	—	5	1	no	—
1117	C₂²×C₈	—	5	1	no	—
1118	C₂²×C₈	—	5	1	no	—
1119	C₂²×C₈	—	5	1	no	—
1120	C₂²×C₈	—	5	1	no	—
1121	C₂²×C₈	—	20	2	no	—
1122	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1123	#127	—	2	1	no	—
1124	#127	—	5	1	no	—
1125	#127	—	5	1	no	—
1126	#127	—	5	1	no	—
1127	#127	—	10	1	no	—
1128	#127	—	10	1	no	—
1129	#127	—	10	1	no	—
1130	#127	—	10	1	no	—
1131	#127	—	10	1	no	—
1132	#127	—	10	1	no	—
1133	#127	—	10	1	no	—
1134	#127	—	10	1	no	—
1135	#127	—	10	1	no	—
1136	#127	C₂²×D₅	1	1	yes	characteristic
1137	#126	—	2	1	no	—
1138	#126	—	10	1	no	—
1139	#126	—	10	1	no	—
1140	#126	—	10	1	no	—
1141	#126	—	10	1	no	—
1142	#126	—	10	1	no	—
1143	#126	—	10	1	no	—
1144	#126	—	10	1	no	—
1145	#125	—	2	1	no	—
1146	#125	—	5	1	no	—
1147	#125	—	5	1	no	—
1148	#125	—	5	1	no	—
1149	#125	—	10	1	no	—
1150	#125	—	10	1	no	—
1151	#125	—	10	1	no	—
1152	#125	—	10	1	no	—
1153	#125	—	10	1	no	—
1154	#125	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#125	—	10	1	no	—
1158	#125	C₂²×D₅	1	1	yes	characteristic
1159	#123	—	2	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	#123	—	10	1	no	—
1165	#123	—	10	1	no	—
1166	#123	—	10	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	5	1	no	—
1169	C₂²⋊Q₈	—	5	1	no	—
1170	C₂²⋊Q₈	—	5	1	no	—
1171	C₂²⋊Q₈	—	5	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	10	1	no	—
1174	C₂²⋊Q₈	—	10	1	no	—
1175	C₂²⋊Q₈	—	10	1	no	—
1176	C₂²⋊Q₈	—	10	1	no	—
1177	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1178	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	5	1	no	—
1182	#121	—	5	1	no	—
1183	#121	—	5	1	no	—
1184	#121	—	5	1	no	—
1185	#121	—	5	1	no	—
1186	#121	—	5	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	—	10	1	no	—
1205	#121	C₂²×D₅	1	1	yes	characteristic
1206	#121	C₂²×D₅	1	1	yes	characteristic
1207	C₄×Q₈	—	5	1	no	—
1208	C₄×Q₈	—	5	1	no	—
1209	C₄×Q₈	—	5	1	no	—
1210	C₄×Q₈	—	5	1	no	—
1211	C₄×Q₈	—	5	1	no	—
1212	C₄×Q₈	—	5	1	no	—
1213	C₄×Q₈	—	10	1	no	—
1214	C₄×Q₈	—	10	1	no	—
1215	C₄×Q₈	—	10	1	no	—
1216	C₄×Q₈	—	10	1	no	—
1217	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1218	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	5	1	no	—
1224	C₄×D₄	—	5	1	no	—
1225	C₄×D₄	—	5	1	no	—
1226	C₄×D₄	—	5	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	—	10	1	no	—
1232	C₄×D₄	—	10	1	no	—
1233	C₄×D₄	—	10	1	no	—
1234	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1235	#117	—	2	1	no	—
1236	#117	—	5	1	no	—
1237	#117	—	5	1	no	—
1238	#117	—	5	1	no	—
1239	#117	—	10	1	no	—
1240	#117	—	10	1	no	—
1241	#117	—	10	1	no	—
1242	#117	—	10	1	no	—
1243	#117	—	10	1	no	—
1244	#117	—	10	1	no	—
1245	#117	—	10	1	no	—
1246	#117	—	10	1	no	—
1247	#117	—	10	1	no	—
1248	#117	C₂²×D₅	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	—	5	1	no	—
1250	C₂×C₄⋊C₄	—	5	1	no	—
1251	C₂×C₄⋊C₄	—	5	1	no	—
1252	C₂×C₄⋊C₄	—	5	1	no	—
1253	C₂×C₄⋊C₄	—	5	1	no	—
1254	C₂×C₄⋊C₄	—	5	1	no	—
1255	C₂×C₄⋊C₄	—	5	1	no	—
1256	C₂×C₄⋊C₄	—	5	1	no	—
1257	C₂×C₄⋊C₄	—	10	1	no	—
1258	C₂×C₄⋊C₄	—	10	1	no	—
1259	C₂×C₄⋊C₄	—	10	1	no	—
1260	C₂×C₄⋊C₄	—	10	1	no	—
1261	C₂×C₄⋊C₄	—	10	1	no	—
1262	C₂×C₄⋊C₄	—	10	1	no	—
1263	C₂×C₄⋊C₄	—	10	1	no	—
1264	C₂×C₄⋊C₄	—	10	1	no	—
1265	C₂×C₄⋊C₄	—	10	1	no	—
1266	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	—	5	1	no	—
1268	C₂×C₂²⋊C₄	—	5	1	no	—
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₂²⋊C₄	—	10	1	no	—
1274	C₂×C₄²	—	5	1	no	—
1275	C₂×C₄²	—	10	1	no	—
1276	C₂×C₄²	—	10	1	no	—
1277	C₂×C₄²	—	10	1	no	—
1278	#107	—	5	1	no	—
1279	#107	—	5	1	no	—
1280	#107	—	5	1	no	—
1281	#107	C₂²×D₅	1	1	yes	characteristic
1282	#106	—	5	1	no	—
1283	#106	—	5	1	no	—
1284	#106	—	5	1	no	—
1285	#106	—	5	1	no	—
1286	#106	—	5	1	no	—
1287	#106	—	5	1	no	—
1288	#106	C₂²×D₅	1	1	yes	characteristic
1289	#106	C₂²×D₅	1	1	yes	characteristic
1290	C₄⋊C₈	—	5	1	no	—
1291	C₄⋊C₈	—	5	1	no	—
1292	C₄⋊C₈	—	5	1	no	—
1293	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	C₂²×D₅	1	1	yes	characteristic
1307	#103	C₂²×D₅	1	1	yes	characteristic
1308	#103	C₂²×D₅	1	1	yes	characteristic
1309	#103	C₂²×D₅	1	1	yes	characteristic
1310	#102	—	5	1	no	—
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	C₂²×D₅	1	1	yes	characteristic
1329	#102	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	#102	C₂²×D₅	1	1	yes	characteristic
1332	#102	C₂²×D₅	1	1	yes	characteristic
1333	#102	C₂²×D₅	1	1	yes	characteristic
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1342	#97	—	5	1	no	—
1343	#97	—	5	1	no	—
1344	#97	—	5	1	no	—
1345	#97	C₂²×D₅	1	1	yes	characteristic
1346	C₂²×C₅	—	2	1	no	—
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	2	1	no	—
1350	C₂²×C₅	—	2	1	no	—
1351	C₂²×C₅	—	2	1	no	—
1352	C₂²×C₅	—	4	1	no	—
1353	C₂²×C₅	—	4	1	no	—
1354	C₂²×C₅	—	4	1	no	—
1355	C₂²×C₅	—	4	1	no	—
1356	C₂²×C₅	—	4	1	no	—
1357	C₂²×C₅	—	4	1	no	—
1358	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1359	C₂×D₅	—	2	1	no	—
1360	C₂×D₅	—	2	1	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	1	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	4	4	no	—
1366	C₂×D₅	—	4	4	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	4	1	no	—
1370	C₂×D₅	—	4	1	no	—
1371	C₂×D₅	—	4	1	no	—
1372	C₂×D₅	—	4	1	no	—
1373	C₂×D₅	—	8	4	no	—
1374	C₂×D₅	—	8	4	no	—
1375	C₂×D₅	#546	1	2	yes	—
1376	C₂×D₅	#575	1	2	yes	—
1377	C₂×D₅	#577	1	2	yes	—
1378	C₄×C₅	—	2	2	no	—
1379	C₄×C₅	—	2	1	no	—
1380	C₄×C₅	—	2	1	no	—
1381	C₄×C₅	—	2	1	no	—
1382	C₄×C₅	—	2	1	no	—
1383	C₄×C₅	—	4	1	no	—
1384	C₄×C₅	—	4	1	no	—
1385	C₄×C₅	—	4	1	no	—
1386	C₄×C₅	—	4	1	no	—
1387	C₄×C₅	—	4	1	no	—
1388	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1389	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1390	Dic₅	—	2	2	no	—
1391	Dic₅	—	2	1	no	—
1392	Dic₅	—	2	1	no	—
1393	Dic₅	—	2	1	no	—
1394	Dic₅	—	2	1	no	—
1395	Dic₅	—	4	1	no	—
1396	Dic₅	—	4	1	no	—
1397	Dic₅	—	4	1	no	—
1398	Dic₅	—	4	1	no	—
1399	Dic₅	—	4	1	no	—
1400	Dic₅	#546	1	2	yes	—
1401	C₂⁴	—	5	1	no	—
1402	C₂⁴	—	5	1	no	—
1403	C₂⁴	—	10	1	no	—
1404	C₂⁴	—	10	1	no	—
1405	#41	—	2	2	no	—
1406	#41	—	2	2	no	—
1407	#41	—	4	1	no	—
1408	#41	—	4	1	no	—
1409	#41	—	10	2	no	—
1410	#41	—	10	2	no	—
1411	#41	—	10	2	no	—
1412	#41	—	10	2	no	—
1413	#41	—	10	2	no	—
1414	#41	—	10	2	no	—
1415	#41	—	20	1	no	—
1416	#41	—	20	1	no	—
1417	#41	—	20	4	no	—
1418	#41	—	20	4	no	—
1419	#41	—	20	1	no	—
1420	#41	—	20	1	no	—
1421	#41	—	20	4	no	—
1422	#41	—	20	4	no	—
1423	#41	—	20	1	no	—
1424	#41	—	20	1	no	—
1425	C₂×Q₈	—	5	4	no	—
1426	C₂×Q₈	—	5	1	no	—
1427	C₂×Q₈	—	5	1	no	—
1428	C₂×Q₈	—	10	1	no	—
1429	C₂×Q₈	—	10	1	no	—
1430	C₂×Q₈	—	10	2	no	—
1431	C₂×Q₈	—	10	2	no	—
1432	C₂×Q₈	—	10	2	no	—
1433	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1434	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	5	1	no	—
1442	C₂×D₄	—	5	1	no	—
1443	C₂×D₄	—	5	1	no	—
1444	C₂×D₄	—	5	1	no	—
1445	C₂×D₄	—	5	1	no	—
1446	C₂×D₄	—	10	1	no	—
1447	C₂×D₄	—	10	1	no	—
1448	C₂×D₄	—	10	1	no	—
1449	C₂×D₄	—	10	1	no	—
1450	C₂×D₄	—	10	2	no	—
1451	C₂×D₄	—	10	2	no	—
1452	C₂×D₄	—	10	2	no	—
1453	C₂×D₄	—	10	2	no	—
1454	C₂×D₄	—	10	1	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	1	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	1	no	—
1470	C₂×D₄	—	20	2	no	—
1471	C₂×D₄	—	20	4	no	—
1472	C₂×D₄	—	20	4	no	—
1473	C₂×D₄	—	20	4	no	—
1474	C₂×D₄	—	40	2	no	—
1475	C₂×D₄	—	40	2	no	—
1476	C₂×D₄	—	40	2	no	—
1477	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1478	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1479	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	5	1	no	—
1485	C₂²×C₄	—	5	1	no	—
1486	C₂²×C₄	—	5	1	no	—
1487	C₂²×C₄	—	5	1	no	—
1488	C₂²×C₄	—	5	1	no	—
1489	C₂²×C₄	—	5	1	no	—
1490	C₂²×C₄	—	5	1	no	—
1491	C₂²×C₄	—	5	1	no	—
1492	C₂²×C₄	—	5	1	no	—
1493	C₂²×C₄	—	5	1	no	—
1494	C₂²×C₄	—	10	2	no	—
1495	C₂²×C₄	—	10	2	no	—
1496	C₂²×C₄	—	10	2	no	—
1497	C₂²×C₄	—	10	2	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	10	1	no	—
1500	C₂²×C₄	—	10	1	no	—
1501	C₂²×C₄	—	10	1	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	20	4	no	—
1514	C₂²×C₄	—	20	4	no	—
1515	C₂²×C₄	—	20	4	no	—
1516	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1518	Q₁₆	—	2	2	no	—
1519	Q₁₆	—	10	2	no	—
1520	Q₁₆	—	10	2	no	—
1521	Q₁₆	—	10	2	no	—
1522	SD₁₆	—	4	1	no	—
1523	SD₁₆	—	4	1	no	—
1524	SD₁₆	—	20	1	no	—
1525	SD₁₆	—	20	1	no	—
1526	SD₁₆	—	20	1	no	—
1527	SD₁₆	—	20	1	no	—
1528	SD₁₆	—	20	1	no	—
1529	SD₁₆	—	20	1	no	—
1530	M₁₆	—	4	1	no	—
1531	M₁₆	—	20	1	no	—
1532	M₁₆	—	20	1	no	—
1533	M₁₆	—	20	1	no	—
1534	C₂×C₈	—	4	1	no	—
1535	C₂×C₈	—	5	1	no	—
1536	C₂×C₈	—	5	1	no	—
1537	C₂×C₈	—	5	1	no	—
1538	C₂×C₈	—	5	1	no	—
1539	C₂×C₈	—	10	2	no	—
1540	C₂×C₈	—	10	2	no	—
1541	C₂×C₈	—	10	2	no	—
1542	C₂×C₈	—	10	2	no	—
1543	C₂×C₈	—	20	1	no	—
1544	C₂×C₈	—	20	1	no	—
1545	C₂×C₈	—	20	1	no	—
1546	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1547	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1548	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1549	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	5	1	no	—
1562	C₄⋊C₄	—	5	1	no	—
1563	C₄⋊C₄	—	5	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1590	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1593	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	5	1	no	—
1600	C₂²⋊C₄	—	5	1	no	—
1601	C₂²⋊C₄	—	5	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1621	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1622	C₄²	—	2	1	no	—
1623	C₄²	—	2	1	no	—
1624	C₄²	—	2	1	no	—
1625	C₄²	—	5	1	no	—
1626	C₄²	—	5	1	no	—
1627	C₄²	—	5	1	no	—
1628	C₄²	—	10	1	no	—
1629	C₄²	—	10	1	no	—
1630	C₄²	—	10	1	no	—
1631	C₄²	—	10	1	no	—
1632	C₄²	—	10	1	no	—
1633	C₄²	—	10	1	no	—
1634	C₄²	—	10	1	no	—
1635	C₄²	—	10	1	no	—
1636	C₄²	—	10	1	no	—
1637	C₄²	C₂³×D₅	1	1	yes	characteristic
1638	C₂×C₅	—	4	1	no	—
1639	C₂×C₅	—	4	1	no	—
1640	C₂×C₅	—	8	1	no	—
1641	C₂×C₅	—	8	1	no	—
1642	C₂×C₅	C₂×#546	1	1	yes	characteristic
1643	C₂×C₅	C₂×#575	1	1	yes	characteristic
1644	C₂×C₅	C₂×#577	1	1	yes	characteristic
1645	D₅	—	4	1	no	—
1646	D₅	—	4	1	no	—
1647	D₅	—	8	1	no	—
1648	D₅	—	8	1	no	—
1649	D₅	#3317	1	4	yes	direct product factor
1650	C₂³	—	2	1	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	5	1	no	—
1653	C₂³	—	5	1	no	—
1654	C₂³	—	5	1	no	—
1655	C₂³	—	10	2	no	—
1656	C₂³	—	10	2	no	—
1657	C₂³	—	10	2	no	—
1658	C₂³	—	10	2	no	—
1659	C₂³	—	10	2	no	—
1660	C₂³	—	10	2	no	—
1661	C₂³	—	10	1	no	—
1662	C₂³	—	10	1	no	—
1663	C₂³	—	20	2	no	—
1664	C₂³	—	20	2	no	—
1665	C₂³	—	20	2	no	—
1666	C₂³	—	20	2	no	—
1667	C₂³	—	20	2	no	—
1668	C₂³	—	20	2	no	—
1669	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1670	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	5	2	no	—
1675	Q₈	—	10	4	no	—
1676	Q₈	—	10	1	no	—
1677	Q₈	—	10	1	no	—
1678	Q₈	—	10	1	no	—
1679	Q₈	—	20	2	no	—
1680	Q₈	D₅×#41	1	2	yes	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	4	1	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	10	1	no	—
1693	D₄	—	10	1	no	—
1694	D₄	—	10	1	no	—
1695	D₄	—	10	1	no	—
1696	D₄	—	20	1	no	—
1697	D₄	—	20	2	no	—
1698	D₄	—	20	2	no	—
1699	D₄	—	20	2	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	20	2	no	—
1702	D₄	—	20	1	no	—
1703	D₄	—	20	1	no	—
1704	D₄	—	20	2	no	—
1705	D₄	—	20	2	no	—
1706	D₄	—	20	2	no	—
1707	D₄	—	20	2	no	—
1708	D₄	—	20	2	no	—
1709	D₄	—	20	2	no	—
1710	D₄	—	40	1	no	—
1711	D₄	—	40	1	no	—
1712	D₄	—	40	1	no	—
1713	D₄	—	40	1	no	—
1714	D₄	—	40	1	no	—
1715	D₄	—	40	1	no	—
1716	D₄	—	40	1	no	—
1717	D₄	—	40	1	no	—
1718	D₄	—	40	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	4	2	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	5	1	no	—
1733	C₂×C₄	—	5	2	no	—
1734	C₂×C₄	—	5	2	no	—
1735	C₂×C₄	—	5	1	no	—
1736	C₂×C₄	—	5	1	no	—
1737	C₂×C₄	—	5	1	no	—
1738	C₂×C₄	—	5	1	no	—
1739	C₂×C₄	—	10	2	no	—
1740	C₂×C₄	—	10	2	no	—
1741	C₂×C₄	—	10	2	no	—
1742	C₂×C₄	—	10	2	no	—
1743	C₂×C₄	—	10	2	no	—
1744	C₂×C₄	—	10	2	no	—
1745	C₂×C₄	—	10	4	no	—
1746	C₂×C₄	—	10	2	no	—
1747	C₂×C₄	—	10	2	no	—
1748	C₂×C₄	—	10	1	no	—
1749	C₂×C₄	—	10	1	no	—
1750	C₂×C₄	—	10	1	no	—
1751	C₂×C₄	—	10	1	no	—
1752	C₂×C₄	—	10	1	no	—
1753	C₂×C₄	—	10	1	no	—
1754	C₂×C₄	—	10	1	no	—
1755	C₂×C₄	—	10	1	no	—
1756	C₂×C₄	—	10	1	no	—
1757	C₂×C₄	—	10	1	no	—
1758	C₂×C₄	—	20	2	no	—
1759	C₂×C₄	—	20	2	no	—
1760	C₂×C₄	—	20	2	no	—
1761	C₂×C₄	—	20	2	no	—
1762	C₂×C₄	—	20	2	no	—
1763	C₂×C₄	—	20	2	no	—
1764	C₂×C₄	—	20	2	no	—
1765	C₂×C₄	—	20	2	no	—
1766	C₂×C₄	—	20	2	no	—
1767	C₂×C₄	—	20	2	no	—
1768	C₂×C₄	—	20	2	no	—
1769	C₂×C₄	—	20	2	no	—
1770	C₂×C₄	—	20	2	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1773	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1776	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1777	C₈	—	2	1	no	—
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	10	1	no	—
1782	C₈	—	10	1	no	—
1783	C₈	—	10	1	no	—
1784	C₈	—	10	1	no	—
1785	C₅	C₂×#3317	1	1	yes	characteristic, complemented, Sylow
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	5	2	no	—
1799	C₂²	—	5	2	no	—
1800	C₂²	—	5	2	no	—
1801	C₂²	—	10	1	no	—
1802	C₂²	—	10	1	no	—
1803	C₂²	—	10	1	no	—
1804	C₂²	—	10	1	no	—
1805	C₂²	—	10	1	no	—
1806	C₂²	—	10	1	no	—
1807	C₂²	—	20	4	no	—
1808	C₂²	—	20	4	no	—
1809	C₂²	—	20	1	no	—
1810	C₂²	—	20	1	no	—
1811	C₂²	—	20	1	no	—
1812	C₂²	—	20	1	no	—
1813	C₂²	—	20	1	no	—
1814	C₂²	—	20	1	no	—
1815	C₂²	—	40	4	no	—
1816	C₂²	—	40	4	no	—
1817	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	2	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	5	2	no	—
1829	C₄	—	10	1	no	—
1830	C₄	—	10	1	no	—
1831	C₄	—	10	2	no	—
1832	C₄	—	10	1	no	—
1833	C₄	—	10	1	no	—
1834	C₄	—	20	1	no	—
1835	C₄	—	20	1	no	—
1836	C₄	—	20	1	no	—
1837	C₄	—	20	1	no	—
1838	C₄	—	20	1	no	—
1839	C₄	C₂×D₅×#41	1	1	yes	characteristic
1840	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	5	4	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	20	1	no	—
1847	C₂	—	20	1	no	—
1848	C₂	—	40	1	no	—
1849	C₂	—	40	1	no	—
1850	C₂	D₅×#546	1	1	yes	characteristic
1851	C₂	D₅×#575	1	1	yes	characteristic
1852	C₂	D₅×#577	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×#3317	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	D₅×#550	C₂
hypercenter	#3317	D₅
hypocenter	C₅	C₂×#3317
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3317

Complements

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

N	H ≅ G/N	type
1. D₅×#552	C₂	semidirect
3. C₅×#3317	C₂	semidirect
4. #10615335	C₂	semidirect
5. #10615304	C₂	semidirect
6. #10613457	C₂	semidirect
7. D₅×#490	C₂	semidirect
8. #10613140	C₂	semidirect
9. D₅×#482	C₂	semidirect
10. #10613063	C₂	semidirect
11. D₅×#481	C₂	semidirect
12. #10612980	C₂	semidirect
13. D₅×#479	C₂	semidirect
14. #10612555	C₂	semidirect
15. D₅×#468	C₂	semidirect
16. #10612424	C₂	semidirect
17. D₅×#465	C₂	semidirect
18. #10612129	C₂	semidirect
19. D₅×#460	C₂	semidirect
20. #10611988	C₂	semidirect
21. #10611987	C₂	semidirect
22. D₅×#452	C₂	semidirect
23. D₅×#452	C₂	semidirect
24. #10611575	C₂	semidirect
25. D₅×#441	C₂	semidirect
26. #10611245	C₂	semidirect
27. D₅×#435	C₂	semidirect
28. #10610632	C₂	semidirect
29. D₅×#417	C₂	semidirect
30. #10610589	C₂	semidirect
31. D₅×#416	C₂	semidirect
34. C₅×#552	C₂²	semidirect
49. #66028	C₂²	semidirect
55. #65976	C₂²	semidirect
56. #65973	C₂²	semidirect
67. #65915	C₂²	semidirect
75. #65875	C₂²	semidirect
77. #65863	C₂²	semidirect
80. #65847	C₂²	semidirect
82. C₅×#490	C₂²	semidirect
83. C₅×#482	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#468	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#460	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#441	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#417	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65528	C₂²	semidirect
97. #65522	C₂²	semidirect
98. #65521	C₂²	semidirect
99. #65476	C₂²	semidirect
100. #65476	C₂²	semidirect
101. #65473	C₂²	semidirect
102. #65463	C₂²	semidirect
103. #65462	C₂²	semidirect
104. #65462	C₂²	semidirect
105. #65460	C₂²	semidirect
106. #65452	C₂²	semidirect
107. #65452	C₂²	semidirect
108. #65423	C₂²	semidirect
109. #65422	C₂²	semidirect
110. #65416	C₂²	semidirect
111. #65403	C₂²	semidirect
112. #65402	C₂²	semidirect
113. #65400	C₂²	semidirect
114. #65364	C₂²	semidirect
115. #65360	C₂²	semidirect
116. #65356	C₂²	semidirect
117. #65352	C₂²	semidirect
118. #65338	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65336	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65331	C₂²	semidirect
123. #65330	C₂²	semidirect
124. #65324	C₂²	semidirect
125. #65323	C₂²	semidirect
126. #65319	C₂²	semidirect
127. #65319	C₂²	semidirect
128. #65316	C₂²	semidirect
129. #65311	C₂²	semidirect
130. #65300	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65257	C₂²	semidirect
134. #65255	C₂²	semidirect
135. #65175	C₂²	semidirect
136. #65174	C₂²	semidirect
138. #65166	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65153	C₂²	semidirect
141. #65152	C₂²	semidirect
142. #65152	C₂²	semidirect
145. #65146	C₂²	semidirect
146. #65142	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65125	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65101	C₂²	semidirect
152. #65099	C₂²	semidirect
153. #65099	C₂²	semidirect
154. #65096	C₂²	semidirect
155. #65093	C₂²	semidirect
156. #65093	C₂²	semidirect
157. #65092	C₂²	semidirect
158. #65092	C₂²	semidirect
163. #65088	C₂²	semidirect
164. #65085	C₂²	semidirect
165. #65078	C₂²	semidirect
166. #65078	C₂²	semidirect
167. #65073	C₂²	semidirect
168. #65072	C₂²	semidirect
169. #65072	C₂²	semidirect
170. #65069	C₂²	semidirect
171. #65068	C₂²	semidirect
172. #65067	C₂²	semidirect
173. #65066	C₂²	semidirect
174. #65066	C₂²	semidirect
175. #65061	C₂²	semidirect
176. #65061	C₂²	semidirect
177. #65060	C₂²	semidirect
178. #65060	C₂²	semidirect
185. #65053	C₂²	semidirect
186. #65053	C₂²	semidirect
187. #65053	C₂²	semidirect
188. #65053	C₂²	semidirect
189. #65051	C₂²	semidirect
190. #65051	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65024	C₂²	semidirect
193. #65022	C₂²	semidirect
194. #65022	C₂²	semidirect
195. #65019	C₂²	semidirect
196. #65017	C₂²	semidirect
199. #65005	C₂²	semidirect
200. #65002	C₂²	semidirect
201. #64995	C₂²	semidirect
505. #3317	D₅	direct (N × H)
774. #552	C₂×D₅	semidirect
813. #490	C₂×D₅	semidirect
821. #482	C₂×D₅	semidirect
829. #481	C₂×D₅	semidirect
837. #479	C₂×D₅	semidirect
845. #468	C₂×D₅	semidirect
853. #465	C₂×D₅	semidirect
861. #460	C₂×D₅	semidirect
876. #452	C₂×D₅	semidirect
877. #452	C₂×D₅	semidirect
885. #441	C₂×D₅	semidirect
893. #435	C₂×D₅	semidirect
905. #417	C₂×D₅	semidirect
913. #416	C₂×D₅	semidirect
1649. D₅	#3317	direct (N × H)
1785. C₅	C₂×#3317	semidirect

Maximal subgroups

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

subgroup	index
D₅×#552	2
D₅×#550	2
C₅×#3317	2
#10615335	2
#10615304	2
#10613457	2
D₅×#490	2
#10613140	2
D₅×#482	2
#10613063	2
D₅×#481	2
#10612980	2
D₅×#479	2
#10612555	2
D₅×#468	2
#10612424	2
D₅×#465	2
#10612129	2
D₅×#460	2
#10611988	2
#10611987	2
D₅×#452	2
#10611575	2
D₅×#441	2
#10611245	2
D₅×#435	2
#10610632	2
D₅×#417	2
#10610589	2
D₅×#416	2
C₂×#3317	5

Subgroups — D5×#3317 #12976010

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3317 #12976010