Subgroups — #12970945

Order 1280.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618451	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618239	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	#10615140	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613608	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613603	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613557	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613554	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613416	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613411	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613334	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613330	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612338	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612271	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612212	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	#10612161	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611994	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611958	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611934	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611913	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611849	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#449	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611771	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611767	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611121	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×#713	C₂²	1	1	yes	characteristic
34	C₅×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#536	C₂²	1	1	yes	characteristic, complemented
36	#66164	C₂²	1	1	yes	characteristic, complemented
37	#66150	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4065	C₂²	1	1	yes	characteristic
39	C₂×#4065	C₂²	1	1	yes	characteristic
40	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4060	C₂²	1	1	yes	characteristic
42	C₂×#4060	C₂²	1	1	yes	characteristic
43	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
46	#66063	C₂²	1	1	yes	characteristic, complemented
47	#66059	C₂²	1	1	yes	characteristic, complemented
48	#66059	C₂²	1	1	yes	characteristic, complemented
49	#66059	C₂²	1	1	yes	characteristic, complemented
50	#66058	C₂²	1	1	yes	characteristic
51	#66058	C₂²	1	1	yes	characteristic
52	#66043	—	2	1	no	—
53	#66039	—	2	1	no	—
54	#66014	C₂²	1	1	yes	characteristic, complemented
55	#66010	—	2	1	no	—
56	#66008	C₂²	1	1	yes	characteristic
57	#66008	C₂²	1	1	yes	characteristic
58	#66008	C₂²	1	1	yes	characteristic, complemented
59	#66004	—	2	1	no	—
60	#66002	C₂²	1	1	yes	characteristic, complemented
61	#66002	C₂²	1	1	yes	characteristic, complemented
62	#65995	—	2	1	no	—
63	#65990	—	2	1	no	—
64	#65990	—	2	1	no	—
65	#65988	—	2	1	no	—
66	#65987	—	2	1	no	—
67	#65987	—	2	1	no	—
68	#65977	C₂²	1	1	yes	characteristic, complemented
69	#65971	—	2	1	no	—
70	#65965	—	2	1	no	—
71	#65963	—	2	1	no	—
72	#65963	—	2	1	no	—
73	#65961	—	2	1	no	—
74	#65961	—	2	1	no	—
75	#65961	C₂²	1	1	yes	characteristic
76	#65953	C₂²	1	1	yes	characteristic, complemented
77	D₅×#121	C₂²	1	1	yes	characteristic
78	#65914	C₂²	1	1	yes	characteristic, complemented
79	#65908	C₂²	1	1	yes	characteristic, complemented
80	#65882	C₂²	1	1	yes	characteristic, complemented
81	#65879	C₂²	1	1	yes	characteristic, complemented
82	#65869	C₂²	1	1	yes	characteristic, complemented
83	#65859	C₂²	1	1	yes	characteristic, complemented
84	D₅×#117	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, complemented
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	#65527	C₂²	1	1	yes	characteristic
99	#65527	C₂²	1	1	yes	characteristic, complemented
100	#65516	C₂²	1	1	yes	characteristic, complemented
101	#65516	C₂²	1	1	yes	characteristic, complemented
102	#65480	C₂²	1	1	yes	characteristic, complemented
103	#65480	C₂²	1	1	yes	characteristic, complemented
104	#65479	C₂²	1	1	yes	characteristic, complemented
105	#65476	C₂²	1	1	yes	characteristic, complemented
106	#65476	C₂²	1	1	yes	characteristic, complemented
107	#65476	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	#65464	C₂²	1	1	yes	characteristic, complemented
115	#65462	C₂²	1	1	yes	characteristic, complemented
116	#65461	C₂²	1	1	yes	characteristic, complemented
117	#65461	C₂²	1	1	yes	characteristic, complemented
118	#65461	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	#65447	C₂²	1	1	yes	characteristic, complemented
124	#65440	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65378	C₂²	1	1	yes	characteristic, complemented
127	#65377	C₂²	1	1	yes	characteristic, complemented
128	#65374	C₂²	1	1	yes	characteristic, complemented
129	#65372	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65348	C₂²	1	1	yes	characteristic, complemented
133	#65347	C₂²	1	1	yes	characteristic, complemented
134	#65347	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65346	C₂²	1	1	yes	characteristic, complemented
137	#65345	C₂²	1	1	yes	characteristic, complemented
138	#65336	C₂²	1	1	yes	characteristic, complemented
139	#65335	C₂²	1	1	yes	characteristic, complemented
140	#65326	C₂²	1	1	yes	characteristic
141	#65325	C₂²	1	1	yes	characteristic, complemented
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	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65132	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	#65122	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65108	C₂²	1	1	yes	characteristic, complemented
157	#65108	C₂²	1	1	yes	characteristic, complemented
158	#65108	C₂²	1	1	yes	characteristic, complemented
159	#65107	C₂²	1	1	yes	characteristic, complemented
160	#65107	C₂²	1	1	yes	characteristic, complemented
161	#65100	C₂²	1	1	yes	characteristic, complemented
162	#65100	C₂²	1	1	yes	characteristic, complemented
163	#65100	C₂²	1	1	yes	characteristic, complemented
164	#65100	C₂²	1	1	yes	characteristic, complemented
165	#65100	C₂²	1	1	yes	characteristic, complemented
166	#65100	C₂²	1	1	yes	characteristic, complemented
167	#65093	C₂²	1	1	yes	characteristic
168	#65093	C₂²	1	1	yes	characteristic
169	#65092	C₂²	1	1	yes	characteristic
170	#65092	C₂²	1	1	yes	characteristic
171	#65091	C₂²	1	1	yes	characteristic, complemented
172	D₅×#103	C₂²	1	1	yes	characteristic, complemented
173	#65089	C₂²	1	1	yes	characteristic, complemented
174	#65089	C₂²	1	1	yes	characteristic, complemented
175	#65086	C₂²	1	1	yes	characteristic, complemented
176	#65084	C₂²	1	1	yes	characteristic, complemented
177	#65084	C₂²	1	1	yes	characteristic, complemented
178	#65081	C₂²	1	1	yes	characteristic, complemented
179	#65075	C₂²	1	1	yes	characteristic, complemented
180	#65075	C₂²	1	1	yes	characteristic, complemented
181	#65070	C₂²	1	1	yes	characteristic, complemented
182	#65070	C₂²	1	1	yes	characteristic, complemented
183	#65059	C₂²	1	1	yes	characteristic, complemented
184	D₅×#102	C₂²	1	1	yes	characteristic, complemented
185	#65053	C₂²	1	1	yes	characteristic, complemented
186	#65049	C₂²	1	1	yes	characteristic, complemented
187	#65023	C₂²	1	1	yes	characteristic
188	#65023	C₂²	1	1	yes	characteristic, complemented
189	#65021	C₂²	1	1	yes	characteristic, complemented
190	#65021	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65002	C₂²	1	1	yes	characteristic, complemented
196	#65001	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	#64984	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60815	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	D₅×#41	—	4	2	no	—
207	D₅×#41	—	4	2	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	—	2	1	no	—
210	C₂×#713	—	2	1	no	—
211	C₂×#713	—	4	2	no	—
212	C₂×#713	—	4	2	no	—
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×#713	C₂³	1	1	yes	characteristic
217	C₂×#713	C₂³	1	1	yes	characteristic
218	C₂×#713	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	C₂³	1	1	yes	characteristic
229	C₂²×D₂₀	—	2	1	no	—
230	C₂²×D₂₀	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	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	C₂³	1	1	yes	characteristic
263	#4093	C₂³	1	1	yes	characteristic
264	#4093	C₂³	1	1	yes	characteristic
265	#4093	C₂³	1	1	yes	characteristic
266	#4093	C₂³	1	1	yes	characteristic
267	#4092	—	2	1	no	—
268	#4092	—	2	1	no	—
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×#688	C₂³	1	1	yes	characteristic
277	C₂×#688	C₂³	1	1	yes	characteristic
278	C₂×#688	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	#4086	C₂³	1	1	yes	characteristic
288	#4085	—	2	1	no	—
289	#4085	—	2	1	no	—
290	#4084	—	2	1	no	—
291	#4084	C₂³	1	1	yes	characteristic
292	#4083	—	2	1	no	—
293	#4083	—	2	1	no	—
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×#687	C₂³	1	1	yes	characteristic
296	C₂×#686	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	—	2	1	no	—
302	#4076	—	2	1	no	—
303	#4076	C₂³	1	1	yes	characteristic
304	#4076	C₂³	1	1	yes	characteristic
305	#4075	—	2	1	no	—
306	#4075	—	2	1	no	—
307	C₄×C₂²⋊D₅	—	2	1	no	—
308	C₄×C₂²⋊D₅	—	2	1	no	—
309	C₂×#685	—	2	1	no	—
310	#4072	C₂³	1	1	yes	characteristic
311	#4065	—	4	2	no	—
312	#4065	—	4	2	no	—
313	#4064	—	4	2	no	—
314	#4060	—	4	2	no	—
315	#4060	—	4	2	no	—
316	#4060	—	4	2	no	—
317	D₅×SD₁₆	—	4	2	no	—
318	D₅×D₈	—	4	2	no	—
319	C₂×D₄₀	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×D₄₀	C₂³	1	1	yes	characteristic
324	C₂×D₄₀	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	—	2	1	no	—
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	#4041	—	2	1	no	—
340	#4041	—	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	C₂³	1	1	yes	characteristic
347	#4041	C₂³	1	1	yes	characteristic
348	#4040	—	2	1	no	—
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	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4039	—	2	1	no	—
357	#4039	—	2	1	no	—
358	#4039	—	2	1	no	—
359	#4039	—	2	1	no	—
360	#4039	—	2	1	no	—
361	#4039	—	2	1	no	—
362	#4039	—	2	1	no	—
363	#4039	C₂³	1	1	yes	characteristic
364	#4039	C₂³	1	1	yes	characteristic
365	#4038	D₄	1	1	yes	characteristic
366	#4038	D₄	1	1	yes	characteristic
367	#4038	C₂³	1	1	yes	characteristic
368	D₅×C₄⋊C₄	—	2	1	no	—
369	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
370	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
371	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
372	#4036	C₂³	1	1	yes	characteristic
373	#4035	—	2	1	no	—
374	#4034	C₂³	1	1	yes	characteristic
375	#4032	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	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	#4029	—	2	1	no	—
393	#4029	—	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	#4028	—	2	1	no	—
402	#4028	—	2	1	no	—
403	#4028	—	2	1	no	—
404	#4027	—	2	1	no	—
405	#4027	—	2	1	no	—
406	#4027	—	2	1	no	—
407	#4027	—	2	1	no	—
408	#4027	—	2	1	no	—
409	#4027	—	2	1	no	—
410	#4027	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
414	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
415	#4025	—	2	1	no	—
416	#4023	—	2	1	no	—
417	#4023	D₄	1	1	yes	characteristic
418	#4023	D₄	1	1	yes	characteristic
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4020	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	—	2	1	no	—
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	C₄×D₂₀	C₂³	1	1	yes	characteristic
428	#4018	—	2	1	no	—
429	#4018	—	2	1	no	—
430	#4018	C₂³	1	1	yes	characteristic
431	#4018	C₂³	1	1	yes	characteristic
432	C₄²×D₅	C₂³	1	1	yes	characteristic
433	C₄²×D₅	C₂³	1	1	yes	characteristic
434	#4016	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	#3946	C₂³	1	1	yes	characteristic
474	#3946	C₂³	1	1	yes	characteristic
475	#3946	C₂³	1	1	yes	characteristic
476	#3946	C₂³	1	1	yes	characteristic
477	C₈×Dic₅	C₂³	1	1	yes	characteristic
478	C₈×Dic₅	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	#3494	—	5	1	no	—
492	#3449	—	5	1	no	—
493	#3225	—	5	1	no	—
494	#3225	D₅	1	1	yes	characteristic, complemented
495	#3224	—	5	1	no	—
496	#3224	—	5	1	no	—
497	#3221	—	5	1	no	—
498	#3221	—	5	1	no	—
499	#3220	—	5	1	no	—
500	#3220	—	5	1	no	—
501	#3219	—	5	1	no	—
502	#3219	—	5	1	no	—
503	#3214	—	5	1	no	—
504	#3214	—	5	1	no	—
505	#3212	—	5	1	no	—
506	#3212	—	5	1	no	—
507	#3207	—	5	1	no	—
508	#3207	—	5	1	no	—
509	#3155	—	5	1	no	—
510	#3154	—	5	1	no	—
511	#3137	—	5	1	no	—
512	#3136	—	5	1	no	—
513	#3046	—	5	1	no	—
514	#3045	—	5	1	no	—
515	#3042	—	5	1	no	—
516	#3041	—	5	1	no	—
517	#3006	—	5	1	no	—
518	#3005	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#449	—	5	1	no	—
521	#2924	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
526	C₅×#41	—	4	1	no	—
527	C₅×#41	—	4	1	no	—
528	C₂×C₅×Q₈	—	2	1	no	—
529	C₂×C₅×Q₈	—	2	1	no	—
530	C₂×C₅×Q₈	—	4	1	no	—
531	C₂×C₅×Q₈	—	4	1	no	—
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×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
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	—	2	2	no	—
566	#713	—	4	1	no	—
567	#713	—	4	1	no	—
568	#713	—	4	1	no	—
569	#713	—	4	1	no	—
570	#713	—	4	1	no	—
571	#713	—	4	1	no	—
572	#713	—	4	4	no	—
573	#713	—	4	4	no	—
574	#713	—	8	2	no	—
575	Q₈×D₅	—	2	2	no	—
576	Q₈×D₅	—	2	2	no	—
577	#711	—	4	1	no	—
578	#711	—	4	1	no	—
579	#711	—	4	4	no	—
580	D₄×D₅	—	2	2	no	—
581	D₄×D₅	—	2	2	no	—
582	D₄×D₅	—	2	2	no	—
583	D₄×D₅	—	2	2	no	—
584	D₄×D₅	—	4	4	no	—
585	D₄×D₅	—	8	2	no	—
586	#709	—	4	1	no	—
587	#709	—	4	1	no	—
588	#709	—	4	4	no	—
589	#709	—	8	2	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	—	2	1	no	—
592	C₂×D₂₀	—	2	1	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	—	2	1	no	—
605	C₂×D₂₀	—	4	1	no	—
606	C₂×D₂₀	—	4	1	no	—
607	C₂×D₂₀	—	4	4	no	—
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×D₂₀	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₅	—	2	2	no	—
614	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	2	1	no	—
627	C₂×C₄×D₅	—	2	1	no	—
628	C₂×C₄×D₅	—	4	4	no	—
629	C₂×C₄×D₅	—	4	4	no	—
630	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₁₀	—	2	1	no	—
639	C₂×Dic₁₀	—	2	1	no	—
640	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
641	C₅×Q₁₆	—	4	1	no	—
642	C₅×Q₁₆	—	4	1	no	—
643	C₅×Q₁₆	—	4	1	no	—
644	C₅×SD₁₆	—	4	1	no	—
645	C₅×SD₁₆	—	4	1	no	—
646	C₅×SD₁₆	—	4	1	no	—
647	C₅×SD₁₆	—	4	1	no	—
648	C₅×D₈	—	4	1	no	—
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
652	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
658	C₅×C₄⋊C₄	—	2	1	no	—
659	C₅×C₄⋊C₄	—	2	1	no	—
660	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₅	—	2	1	no	—
676	C₄²×C₅	C₂⁴	1	1	yes	characteristic
677	C₄²×C₅	C₂⁴	1	1	yes	characteristic
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
682	#689	—	4	1	no	—
683	#688	—	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	#688	—	4	1	no	—
691	#688	—	4	1	no	—
692	#687	—	4	1	no	—
693	#686	—	4	1	no	—
694	#686	—	4	1	no	—
695	#686	—	4	1	no	—
696	#686	—	4	1	no	—
697	#686	—	4	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	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	C₂×D₄	1	1	yes	characteristic
723	#685	C₂×D₄	1	1	yes	characteristic
724	#685	C₂×D₄	1	1	yes	characteristic
725	#685	C₂×D₄	1	1	yes	characteristic
726	C₄⋊Dic₅	—	2	1	no	—
727	C₄⋊Dic₅	—	2	1	no	—
728	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
729	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
730	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	C₂×D₄	1	1	yes	characteristic
743	#683	C₂×D₄	1	1	yes	characteristic
744	#683	C₂×D₄	1	1	yes	characteristic
745	#683	C₂×D₄	1	1	yes	characteristic
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
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	D₄₀	—	4	1	no	—
759	D₄₀	—	4	1	no	—
760	D₄₀	—	4	1	no	—
761	D₄₀	—	4	1	no	—
762	D₄₀	—	4	1	no	—
763	D₄₀	—	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	C₂²×#41	—	5	1	no	—
771	C₂²×#41	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×AGL(1,ℤ/8)	—	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	C₂²×SD₁₆	—	5	1	no	—
779	C₂²×D₈	—	5	1	no	—
780	#555	—	10	1	no	—
781	#553	—	10	1	no	—
782	#553	—	10	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	#547	—	10	1	no	—
786	#546	—	10	1	no	—
787	#546	—	10	1	no	—
788	#544	—	5	1	no	—
789	#542	—	5	1	no	—
790	#542	C₂×D₅	1	1	yes	characteristic, complemented
791	#540	—	5	1	no	—
792	#540	—	5	1	no	—
793	#537	—	10	1	no	—
794	#537	—	10	1	no	—
795	#536	—	5	1	no	—
796	#536	—	5	1	no	—
797	#536	—	5	1	no	—
798	#536	C₂×D₅	1	1	yes	characteristic, complemented
799	#535	—	5	1	no	—
800	#535	—	5	1	no	—
801	#535	—	5	1	no	—
802	#535	—	5	1	no	—
803	#535	—	5	1	no	—
804	#534	—	10	1	no	—
805	#534	—	10	1	no	—
806	#532	—	5	1	no	—
807	#532	—	5	1	no	—
808	#532	—	5	1	no	—
809	#532	—	5	1	no	—
810	#532	—	5	1	no	—
811	#532	—	5	1	no	—
812	#529	—	5	1	no	—
813	#529	—	5	1	no	—
814	#525	—	5	1	no	—
815	#525	—	10	1	no	—
816	#525	—	10	1	no	—
817	#525	—	10	1	no	—
818	#525	—	10	1	no	—
819	C₂×#121	—	5	1	no	—
820	#520	—	5	1	no	—
821	#518	—	5	1	no	—
822	C₂×#117	—	5	1	no	—
823	#497	—	5	1	no	—
824	#497	C₂×D₅	1	1	yes	characteristic, complemented
825	#496	—	5	1	no	—
826	#496	—	5	1	no	—
827	#496	—	5	1	no	—
828	#496	—	5	1	no	—
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#495	—	5	1	no	—
832	#495	—	5	1	no	—
833	#495	—	5	1	no	—
834	#495	C₂×D₅	1	1	yes	characteristic, complemented
835	#493	—	5	1	no	—
836	#493	—	5	1	no	—
837	#492	—	5	1	no	—
838	#492	—	5	1	no	—
839	#491	—	5	1	no	—
840	#491	—	5	1	no	—
841	#490	—	5	1	no	—
842	#490	—	5	1	no	—
843	#489	—	5	1	no	—
844	#489	—	5	1	no	—
845	#489	—	5	1	no	—
846	#489	C₂×D₅	1	1	yes	characteristic, complemented
847	#488	—	5	1	no	—
848	#488	—	5	1	no	—
849	#488	—	5	1	no	—
850	#488	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
859	#463	—	5	1	no	—
860	#463	—	5	1	no	—
861	#463	—	5	1	no	—
862	#463	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
873	#461	—	5	1	no	—
874	#461	—	5	1	no	—
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	#459	—	5	1	no	—
882	#459	—	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	C₂×D₅	1	1	yes	characteristic, complemented
893	#451	C₂×D₅	1	1	yes	characteristic, complemented
894	#450	—	5	1	no	—
895	#449	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	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	—	5	1	no	—
911	#449	—	5	1	no	—
912	#449	C₂×D₅	1	1	yes	characteristic
913	#448	—	5	1	no	—
914	#448	—	5	1	no	—
915	#448	C₂×D₅	1	1	yes	characteristic, complemented
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	#431	—	5	1	no	—
926	#431	—	5	1	no	—
927	#424	—	5	1	no	—
928	#424	—	5	1	no	—
929	#419	—	5	1	no	—
930	#418	—	5	1	no	—
931	#417	—	5	1	no	—
932	#417	—	5	1	no	—
933	#416	—	5	1	no	—
934	#416	—	5	1	no	—
935	C₂×#103	—	5	1	no	—
936	C₂×#102	—	5	1	no	—
937	#407	—	5	1	no	—
938	C₂×C₂²⋊C₈	—	5	1	no	—
939	#405	—	5	1	no	—
940	#405	—	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	2	no	—
945	C₂²×D₅	—	2	1	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	2	1	no	—
950	C₂²×D₅	—	4	1	no	—
951	C₂²×D₅	—	4	1	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	4	2	no	—
954	C₂²×D₅	—	4	2	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	—	8	1	no	—
958	C₂²×D₅	—	8	1	no	—
959	C₂²×D₅	—	8	1	no	—
960	C₂²×D₅	—	8	1	no	—
961	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
962	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
968	C₅×Q₈	—	2	1	no	—
969	C₅×Q₈	—	2	1	no	—
970	C₅×Q₈	—	2	1	no	—
971	C₅×Q₈	—	4	2	no	—
972	C₅×Q₈	—	8	1	no	—
973	C₅×D₄	—	2	1	no	—
974	C₅×D₄	—	2	1	no	—
975	C₅×D₄	—	2	1	no	—
976	C₅×D₄	—	2	1	no	—
977	C₅×D₄	—	4	2	no	—
978	C₅×D₄	—	8	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	—	2	1	no	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	4	2	no	—
988	C₂×C₄×C₅	—	4	2	no	—
989	C₂×C₄×C₅	—	8	1	no	—
990	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
991	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
992	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
993	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
994	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
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	—	4	2	no	—
1001	C₂²⋊D₅	—	8	1	no	—
1002	C₂²⋊D₅	—	8	1	no	—
1003	C₂²⋊D₅	—	8	1	no	—
1004	C₂²⋊D₅	—	8	1	no	—
1005	C₂²⋊D₅	—	8	1	no	—
1006	C₂²⋊D₅	—	8	1	no	—
1007	C₂²⋊D₅	—	8	1	no	—
1008	C₂²⋊D₅	—	8	1	no	—
1009	C₂×Dic₅	—	2	2	no	—
1010	C₂×Dic₅	—	2	1	no	—
1011	C₂×Dic₅	—	2	1	no	—
1012	C₂×Dic₅	—	2	1	no	—
1013	C₂×Dic₅	—	4	2	no	—
1014	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1028	D₂₀	—	2	1	no	—
1029	D₂₀	—	2	1	no	—
1030	D₂₀	—	2	1	no	—
1031	D₂₀	—	4	2	no	—
1032	D₂₀	—	4	2	no	—
1033	D₂₀	—	4	2	no	—
1034	D₂₀	—	4	2	no	—
1035	D₂₀	—	4	2	no	—
1036	D₂₀	—	4	2	no	—
1037	D₂₀	—	4	2	no	—
1038	D₂₀	—	4	2	no	—
1039	D₂₀	—	4	2	no	—
1040	D₂₀	—	8	1	no	—
1041	D₂₀	—	8	1	no	—
1042	D₂₀	—	8	1	no	—
1043	D₂₀	—	8	1	no	—
1044	D₂₀	—	8	1	no	—
1045	D₂₀	—	8	1	no	—
1046	C₄×D₅	—	2	2	no	—
1047	C₄×D₅	—	2	1	no	—
1048	C₄×D₅	—	2	1	no	—
1049	C₄×D₅	—	2	2	no	—
1050	C₄×D₅	—	4	1	no	—
1051	C₄×D₅	—	4	1	no	—
1052	C₄×D₅	—	4	1	no	—
1053	C₄×D₅	—	4	1	no	—
1054	C₄×D₅	—	4	2	no	—
1055	C₄×D₅	—	4	2	no	—
1056	C₄×D₅	—	4	2	no	—
1057	C₄×D₅	—	4	2	no	—
1058	C₄×D₅	—	4	2	no	—
1059	C₄×D₅	—	4	2	no	—
1060	C₄×D₅	—	4	2	no	—
1061	C₄×D₅	—	4	2	no	—
1062	C₄×D₅	—	8	1	no	—
1063	C₄×D₅	—	8	1	no	—
1064	C₄×D₅	—	8	1	no	—
1065	C₄×D₅	—	8	1	no	—
1066	C₄×D₅	—	8	1	no	—
1067	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1068	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1069	Dic₁₀	—	2	1	no	—
1070	Dic₁₀	—	2	1	no	—
1071	Dic₁₀	—	4	2	no	—
1072	Dic₁₀	—	8	1	no	—
1073	C₅×C₈	—	2	1	no	—
1074	C₅×C₈	—	2	1	no	—
1075	C₅×C₈	—	2	1	no	—
1076	C₅×C₈	—	2	1	no	—
1077	#168	—	2	1	no	—
1078	#168	—	2	1	no	—
1079	#168	—	2	1	no	—
1080	#168	—	2	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	—	5	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	—	10	1	no	—
1095	C₂×#41	—	20	2	no	—
1096	C₂×#41	—	20	2	no	—
1097	C₂×#41	—	20	2	no	—
1098	C₂×#41	—	20	2	no	—
1099	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1100	C₂²×Q₈	—	5	1	no	—
1101	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₂²×D₄	—	5	1	no	—
1103	C₂²×D₄	—	5	1	no	—
1104	C₂²×D₄	—	5	1	no	—
1105	C₂²×D₄	—	10	1	no	—
1106	C₂²×D₄	—	10	1	no	—
1107	C₂²×D₄	—	10	1	no	—
1108	C₂³×C₄	—	5	1	no	—
1109	C₂³×C₄	—	10	1	no	—
1110	C₂³×C₄	—	10	1	no	—
1111	#137	—	20	2	no	—
1112	AGL(1,ℤ/8)	—	20	2	no	—
1113	AGL(1,ℤ/8)	—	20	2	no	—
1114	AGL(1,ℤ/8)	—	20	2	no	—
1115	#135	—	20	2	no	—
1116	#135	—	20	2	no	—
1117	C₂×Q₁₆	—	5	1	no	—
1118	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1119	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1120	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×SD₁₆	—	5	1	no	—
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	—	20	2	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	—	5	1	no	—
1146	C₂×D₈	—	5	1	no	—
1147	C₂×D₈	—	5	1	no	—
1148	C₂×D₈	—	5	1	no	—
1149	C₂×D₈	—	20	2	no	—
1150	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1151	C₂×M₁₆	—	5	1	no	—
1152	C₂×M₁₆	—	5	1	no	—
1153	C₂²×C₈	—	5	1	no	—
1154	C₂²×C₈	—	5	1	no	—
1155	C₄⋊Q₈	—	5	1	no	—
1156	C₄⋊Q₈	—	5	1	no	—
1157	C₄⋊Q₈	—	5	1	no	—
1158	C₄⋊Q₈	—	10	1	no	—
1159	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1160	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1161	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1162	#127	—	5	1	no	—
1163	#127	—	5	1	no	—
1164	#127	—	5	1	no	—
1165	#127	—	5	1	no	—
1166	#127	—	5	1	no	—
1167	#127	—	5	1	no	—
1168	#126	—	2	1	no	—
1169	#126	—	10	1	no	—
1170	#126	—	10	1	no	—
1171	#126	—	10	1	no	—
1172	#125	—	5	1	no	—
1173	#125	—	5	1	no	—
1174	#125	—	10	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	5	1	no	—
1177	#124	—	5	1	no	—
1178	#124	—	5	1	no	—
1179	#124	—	5	1	no	—
1180	#124	—	5	1	no	—
1181	#124	—	5	1	no	—
1182	#124	—	5	1	no	—
1183	#124	—	10	1	no	—
1184	#124	—	10	1	no	—
1185	#124	—	10	1	no	—
1186	#124	C₂²×D₅	1	1	yes	characteristic
1187	#124	C₂²×D₅	1	1	yes	characteristic
1188	#124	C₂²×D₅	1	1	yes	characteristic
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	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	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	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	C₂²×D₅	1	1	yes	characteristic
1220	#121	—	5	1	no	—
1221	#121	—	5	1	no	—
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	—	10	1	no	—
1248	#121	—	10	1	no	—
1249	#121	—	10	1	no	—
1250	#121	—	10	1	no	—
1251	#121	C₂²×D₅	1	1	yes	characteristic
1252	#120	—	10	1	no	—
1253	#120	—	10	1	no	—
1254	#120	—	10	1	no	—
1255	#120	—	10	1	no	—
1256	#120	—	10	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	#120	—	10	1	no	—
1263	C₄×Q₈	—	5	1	no	—
1264	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
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	—	10	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	—	10	1	no	—
1286	C₄×D₄	—	10	1	no	—
1287	C₄×D₄	—	10	1	no	—
1288	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1289	#117	—	5	1	no	—
1290	#117	—	5	1	no	—
1291	#117	—	5	1	no	—
1292	#117	—	5	1	no	—
1293	#117	—	5	1	no	—
1294	#117	—	5	1	no	—
1295	#117	—	5	1	no	—
1296	#117	—	5	1	no	—
1297	#117	—	10	1	no	—
1298	#117	—	10	1	no	—
1299	#117	—	10	1	no	—
1300	#117	C₂²×D₅	1	1	yes	characteristic
1301	C₂×C₄⋊C₄	—	5	1	no	—
1302	C₂×C₄⋊C₄	—	5	1	no	—
1303	C₂×C₄⋊C₄	—	5	1	no	—
1304	C₂×C₄⋊C₄	—	10	1	no	—
1305	C₂×C₂²⋊C₄	—	5	1	no	—
1306	C₂×C₂²⋊C₄	—	5	1	no	—
1307	C₂×C₂²⋊C₄	—	10	1	no	—
1308	C₂×C₂²⋊C₄	—	10	1	no	—
1309	C₂×C₂²⋊C₄	—	10	1	no	—
1310	C₂×C₄²	—	5	1	no	—
1311	C₂×C₄²	—	5	1	no	—
1312	C₄⋊C₈	—	5	1	no	—
1313	C₄⋊C₈	—	5	1	no	—
1314	C₄⋊C₈	—	5	1	no	—
1315	C₄⋊C₈	—	5	1	no	—
1316	C₄⋊C₈	—	5	1	no	—
1317	C₄⋊C₈	—	5	1	no	—
1318	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1319	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1326	#103	—	5	1	no	—
1327	#103	—	5	1	no	—
1328	#103	—	5	1	no	—
1329	#103	—	5	1	no	—
1330	#103	C₂²×D₅	1	1	yes	characteristic
1331	#103	C₂²×D₅	1	1	yes	characteristic
1332	#103	C₂²×D₅	1	1	yes	characteristic
1333	#103	C₂²×D₅	1	1	yes	characteristic
1334	#103	C₂²×D₅	1	1	yes	characteristic
1335	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	C₂²×D₅	1	1	yes	characteristic
1351	#102	C₂²×D₅	1	1	yes	characteristic
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	—	5	1	no	—
1354	C₂²⋊C₈	—	5	1	no	—
1355	C₂²⋊C₈	—	5	1	no	—
1356	C₂²⋊C₈	—	5	1	no	—
1357	C₂²⋊C₈	—	5	1	no	—
1358	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1360	#97	—	5	1	no	—
1361	#97	—	5	1	no	—
1362	#97	—	5	1	no	—
1363	#97	C₂²×D₅	1	1	yes	characteristic
1364	C₄×C₈	—	5	1	no	—
1365	C₄×C₈	—	5	1	no	—
1366	C₄×C₈	—	5	1	no	—
1367	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1368	C₂²×C₅	—	2	1	no	—
1369	C₂²×C₅	—	2	1	no	—
1370	C₂²×C₅	—	2	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	—	4	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	4	1	no	—
1376	C₂²×C₅	—	4	1	no	—
1377	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1378	C₂×D₅	—	2	1	no	—
1379	C₂×D₅	—	2	1	no	—
1380	C₂×D₅	—	2	1	no	—
1381	C₂×D₅	—	2	1	no	—
1382	C₂×D₅	—	2	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	—	4	1	no	—
1391	C₂×D₅	—	4	1	no	—
1392	C₂×D₅	—	4	1	no	—
1393	C₂×D₅	—	4	1	no	—
1394	C₂×D₅	—	4	1	no	—
1395	C₂×D₅	—	4	1	no	—
1396	C₂×D₅	—	4	1	no	—
1397	C₂×D₅	—	4	1	no	—
1398	C₂×D₅	—	8	2	no	—
1399	C₂×D₅	—	8	4	no	—
1400	C₂×D₅	—	8	4	no	—
1401	C₂×D₅	—	16	2	no	—
1402	C₂×D₅	#535	1	2	yes	—
1403	C₄×C₅	—	2	1	no	—
1404	C₄×C₅	—	2	1	no	—
1405	C₄×C₅	—	2	1	no	—
1406	C₄×C₅	—	2	1	no	—
1407	C₄×C₅	—	2	1	no	—
1408	C₄×C₅	—	4	1	no	—
1409	C₄×C₅	—	4	1	no	—
1410	C₄×C₅	—	4	1	no	—
1411	C₄×C₅	—	4	1	no	—
1412	C₄×C₅	—	4	1	no	—
1413	C₄×C₅	—	4	1	no	—
1414	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1415	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1416	Dic₅	—	2	1	no	—
1417	Dic₅	—	2	1	no	—
1418	Dic₅	—	2	1	no	—
1419	Dic₅	—	2	1	no	—
1420	Dic₅	—	2	1	no	—
1421	Dic₅	—	4	1	no	—
1422	Dic₅	—	4	1	no	—
1423	Dic₅	—	4	1	no	—
1424	Dic₅	#535	1	2	yes	—
1425	C₂⁴	—	5	1	no	—
1426	C₂⁴	—	10	1	no	—
1427	C₂⁴	—	10	1	no	—
1428	C₂⁴	—	10	1	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	10	2	no	—
1432	#41	—	10	2	no	—
1433	#41	—	10	2	no	—
1434	#41	—	10	2	no	—
1435	#41	—	10	2	no	—
1436	#41	—	10	2	no	—
1437	#41	—	20	1	no	—
1438	#41	—	20	1	no	—
1439	#41	—	20	4	no	—
1440	#41	—	20	1	no	—
1441	#41	—	20	1	no	—
1442	#41	—	20	4	no	—
1443	#41	—	20	1	no	—
1444	#41	—	20	1	no	—
1445	#41	—	20	1	no	—
1446	#41	—	20	1	no	—
1447	#41	—	20	1	no	—
1448	#41	—	20	1	no	—
1449	#41	—	20	4	no	—
1450	#41	—	20	4	no	—
1451	#41	—	40	2	no	—
1452	#41	—	40	2	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	1	no	—
1455	C₂×Q₈	—	4	1	no	—
1456	C₂×Q₈	—	4	1	no	—
1457	C₂×Q₈	—	5	1	no	—
1458	C₂×Q₈	—	10	1	no	—
1459	C₂×Q₈	—	10	1	no	—
1460	C₂×Q₈	—	10	2	no	—
1461	C₂×Q₈	—	10	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	—	10	1	no	—
1474	C₂×D₄	—	10	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	2	no	—
1484	C₂×D₄	—	10	2	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	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	20	1	no	—
1506	C₂×D₄	—	20	1	no	—
1507	C₂×D₄	—	20	4	no	—
1508	C₂×D₄	—	20	4	no	—
1509	C₂×D₄	—	40	2	no	—
1510	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	5	1	no	—
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	5	1	no	—
1519	C₂²×C₄	—	5	1	no	—
1520	C₂²×C₄	—	5	1	no	—
1521	C₂²×C₄	—	5	1	no	—
1522	C₂²×C₄	—	5	1	no	—
1523	C₂²×C₄	—	5	1	no	—
1524	C₂²×C₄	—	10	2	no	—
1525	C₂²×C₄	—	10	2	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	—	10	1	no	—
1533	C₂²×C₄	—	10	1	no	—
1534	C₂²×C₄	—	10	1	no	—
1535	C₂²×C₄	—	10	1	no	—
1536	C₂²×C₄	—	10	1	no	—
1537	C₂²×C₄	—	10	1	no	—
1538	C₂²×C₄	—	10	1	no	—
1539	C₂²×C₄	—	10	1	no	—
1540	C₂²×C₄	—	10	1	no	—
1541	C₂²×C₄	—	20	4	no	—
1542	C₂²×C₄	—	20	4	no	—
1543	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1544	Q₁₆	—	4	1	no	—
1545	Q₁₆	—	4	1	no	—
1546	Q₁₆	—	4	1	no	—
1547	Q₁₆	—	20	1	no	—
1548	SD₁₆	—	4	1	no	—
1549	SD₁₆	—	4	1	no	—
1550	SD₁₆	—	4	1	no	—
1551	SD₁₆	—	4	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	SD₁₆	—	20	1	no	—
1558	SD₁₆	—	20	1	no	—
1559	SD₁₆	—	20	1	no	—
1560	SD₁₆	—	20	1	no	—
1561	SD₁₆	—	20	1	no	—
1562	SD₁₆	—	20	1	no	—
1563	SD₁₆	—	20	1	no	—
1564	D₈	—	4	1	no	—
1565	D₈	—	20	1	no	—
1566	D₈	—	20	1	no	—
1567	D₈	—	20	1	no	—
1568	D₈	—	20	1	no	—
1569	D₈	—	20	1	no	—
1570	D₈	—	20	1	no	—
1571	D₈	—	20	1	no	—
1572	D₈	—	20	1	no	—
1573	D₈	—	20	1	no	—
1574	D₈	—	20	1	no	—
1575	D₈	—	20	1	no	—
1576	M₁₆	—	10	2	no	—
1577	M₁₆	—	10	2	no	—
1578	C₂×C₈	—	5	1	no	—
1579	C₂×C₈	—	5	1	no	—
1580	C₂×C₈	—	5	1	no	—
1581	C₂×C₈	—	5	1	no	—
1582	C₂×C₈	—	10	2	no	—
1583	C₂×C₈	—	10	2	no	—
1584	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1585	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1586	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1587	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	5	1	no	—
1596	C₄⋊C₄	—	5	1	no	—
1597	C₄⋊C₄	—	5	1	no	—
1598	C₄⋊C₄	—	5	1	no	—
1599	C₄⋊C₄	—	5	1	no	—
1600	C₄⋊C₄	—	5	1	no	—
1601	C₄⋊C₄	—	5	1	no	—
1602	C₄⋊C₄	—	5	1	no	—
1603	C₄⋊C₄	—	10	1	no	—
1604	C₄⋊C₄	—	10	1	no	—
1605	C₄⋊C₄	—	10	1	no	—
1606	C₄⋊C₄	—	10	1	no	—
1607	C₄⋊C₄	—	10	1	no	—
1608	C₄⋊C₄	—	10	1	no	—
1609	C₄⋊C₄	—	10	1	no	—
1610	C₄⋊C₄	—	10	1	no	—
1611	C₄⋊C₄	—	10	1	no	—
1612	C₄⋊C₄	—	10	1	no	—
1613	C₄⋊C₄	—	10	1	no	—
1614	C₄⋊C₄	—	10	1	no	—
1615	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1616	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1617	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1618	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	5	1	no	—
1629	C₂²⋊C₄	—	5	1	no	—
1630	C₂²⋊C₄	—	5	1	no	—
1631	C₂²⋊C₄	—	5	1	no	—
1632	C₂²⋊C₄	—	5	1	no	—
1633	C₂²⋊C₄	—	5	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	—	10	1	no	—
1650	C₂²⋊C₄	—	10	1	no	—
1651	C₂²⋊C₄	—	10	1	no	—
1652	C₂²⋊C₄	—	10	1	no	—
1653	C₂²⋊C₄	—	10	1	no	—
1654	C₂²⋊C₄	—	10	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	—	10	1	no	—
1659	C₂²⋊C₄	—	10	1	no	—
1660	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1661	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1662	C₄²	—	2	1	no	—
1663	C₄²	—	5	1	no	—
1664	C₄²	—	5	1	no	—
1665	C₄²	—	5	1	no	—
1666	C₄²	—	5	1	no	—
1667	C₄²	—	5	1	no	—
1668	C₄²	—	5	1	no	—
1669	C₄²	—	10	1	no	—
1670	C₄²	—	10	1	no	—
1671	C₄²	C₂³×D₅	1	1	yes	characteristic
1672	C₄²	C₂³×D₅	1	1	yes	characteristic
1673	C₂×C₅	—	4	1	no	—
1674	C₂×C₅	—	8	1	no	—
1675	C₂×C₅	—	8	1	no	—
1676	C₂×C₅	C₂×#535	1	1	yes	characteristic
1677	C₂×C₅	#3584	1	1	yes	characteristic
1678	C₂×C₅	#3585	1	1	yes	characteristic
1679	D₅	—	2	2	no	—
1680	D₅	—	4	1	no	—
1681	D₅	—	8	1	no	—
1682	D₅	—	8	1	no	—
1683	D₅	—	8	1	no	—
1684	D₅	—	8	1	no	—
1685	D₅	—	8	1	no	—
1686	C₂³	—	2	1	no	—
1687	C₂³	—	2	1	no	—
1688	C₂³	—	5	1	no	—
1689	C₂³	—	5	1	no	—
1690	C₂³	—	10	2	no	—
1691	C₂³	—	10	1	no	—
1692	C₂³	—	10	1	no	—
1693	C₂³	—	10	1	no	—
1694	C₂³	—	10	1	no	—
1695	C₂³	—	10	1	no	—
1696	C₂³	—	20	1	no	—
1697	C₂³	—	20	1	no	—
1698	C₂³	—	20	2	no	—
1699	C₂³	—	20	2	no	—
1700	C₂³	—	20	2	no	—
1701	C₂³	—	40	1	no	—
1702	C₂³	—	40	1	no	—
1703	C₂³	—	40	1	no	—
1704	C₂³	—	40	1	no	—
1705	C₂³	—	40	1	no	—
1706	C₂³	—	40	1	no	—
1707	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1708	Q₈	—	2	1	no	—
1709	Q₈	—	2	1	no	—
1710	Q₈	—	2	1	no	—
1711	Q₈	—	2	1	no	—
1712	Q₈	—	2	1	no	—
1713	Q₈	—	2	1	no	—
1714	Q₈	—	2	1	no	—
1715	Q₈	—	2	1	no	—
1716	Q₈	—	4	2	no	—
1717	Q₈	—	8	1	no	—
1718	Q₈	—	10	1	no	—
1719	Q₈	—	10	1	no	—
1720	Q₈	—	20	2	no	—
1721	Q₈	—	40	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	8	1	no	—
1728	D₄	—	10	1	no	—
1729	D₄	—	10	1	no	—
1730	D₄	—	10	1	no	—
1731	D₄	—	10	1	no	—
1732	D₄	—	10	1	no	—
1733	D₄	—	10	1	no	—
1734	D₄	—	10	1	no	—
1735	D₄	—	10	1	no	—
1736	D₄	—	10	1	no	—
1737	D₄	—	10	1	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	—	20	2	no	—
1745	D₄	—	20	2	no	—
1746	D₄	—	20	2	no	—
1747	D₄	—	20	2	no	—
1748	D₄	—	20	2	no	—
1749	D₄	—	20	2	no	—
1750	D₄	—	20	2	no	—
1751	D₄	—	20	2	no	—
1752	D₄	—	40	1	no	—
1753	D₄	—	40	1	no	—
1754	D₄	—	40	1	no	—
1755	D₄	—	40	1	no	—
1756	D₄	—	40	1	no	—
1757	D₄	—	40	1	no	—
1758	D₄	—	40	1	no	—
1759	D₄	—	40	1	no	—
1760	D₄	—	40	1	no	—
1761	D₄	—	40	1	no	—
1762	D₄	—	40	1	no	—
1763	D₄	—	40	1	no	—
1764	D₄	—	40	1	no	—
1765	D₄	—	40	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	4	2	no	—
1775	C₂×C₄	—	4	2	no	—
1776	C₂×C₄	—	5	1	no	—
1777	C₂×C₄	—	5	2	no	—
1778	C₂×C₄	—	5	2	no	—
1779	C₂×C₄	—	5	1	no	—
1780	C₂×C₄	—	5	1	no	—
1781	C₂×C₄	—	5	1	no	—
1782	C₂×C₄	—	5	1	no	—
1783	C₂×C₄	—	5	1	no	—
1784	C₂×C₄	—	8	1	no	—
1785	C₂×C₄	—	10	2	no	—
1786	C₂×C₄	—	10	2	no	—
1787	C₂×C₄	—	10	2	no	—
1788	C₂×C₄	—	10	1	no	—
1789	C₂×C₄	—	10	1	no	—
1790	C₂×C₄	—	10	1	no	—
1791	C₂×C₄	—	10	1	no	—
1792	C₂×C₄	—	10	1	no	—
1793	C₂×C₄	—	20	1	no	—
1794	C₂×C₄	—	20	1	no	—
1795	C₂×C₄	—	20	1	no	—
1796	C₂×C₄	—	20	1	no	—
1797	C₂×C₄	—	20	2	no	—
1798	C₂×C₄	—	20	2	no	—
1799	C₂×C₄	—	20	2	no	—
1800	C₂×C₄	—	20	2	no	—
1801	C₂×C₄	—	20	2	no	—
1802	C₂×C₄	—	20	2	no	—
1803	C₂×C₄	—	20	2	no	—
1804	C₂×C₄	—	20	2	no	—
1805	C₂×C₄	—	20	2	no	—
1806	C₂×C₄	—	40	1	no	—
1807	C₂×C₄	—	40	1	no	—
1808	C₂×C₄	—	40	1	no	—
1809	C₂×C₄	—	40	1	no	—
1810	C₂×C₄	—	40	1	no	—
1811	C₂×C₄	—	40	1	no	—
1812	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1813	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1814	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1815	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1816	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1817	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1818	C₈	—	2	1	no	—
1819	C₈	—	2	1	no	—
1820	C₈	—	2	1	no	—
1821	C₈	—	2	1	no	—
1822	C₈	—	10	1	no	—
1823	C₈	—	10	1	no	—
1824	C₈	—	10	1	no	—
1825	C₈	—	10	1	no	—
1826	C₅	#60815	1	1	yes	characteristic, complemented, Sylow
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	5	2	no	—
1837	C₂²	—	10	1	no	—
1838	C₂²	—	10	1	no	—
1839	C₂²	—	10	1	no	—
1840	C₂²	—	10	1	no	—
1841	C₂²	—	10	1	no	—
1842	C₂²	—	20	1	no	—
1843	C₂²	—	20	1	no	—
1844	C₂²	—	20	1	no	—
1845	C₂²	—	20	1	no	—
1846	C₂²	—	20	1	no	—
1847	C₂²	—	20	1	no	—
1848	C₂²	—	20	1	no	—
1849	C₂²	—	20	1	no	—
1850	C₂²	—	20	1	no	—
1851	C₂²	—	20	1	no	—
1852	C₂²	—	20	1	no	—
1853	C₂²	—	20	1	no	—
1854	C₂²	—	20	1	no	—
1855	C₂²	—	20	1	no	—
1856	C₂²	—	20	1	no	—
1857	C₂²	—	40	2	no	—
1858	C₂²	—	40	4	no	—
1859	C₂²	—	40	4	no	—
1860	C₂²	—	80	2	no	—
1861	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	4	1	no	—
1868	C₄	—	4	1	no	—
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	5	2	no	—
1874	C₄	—	10	1	no	—
1875	C₄	—	10	1	no	—
1876	C₄	—	10	1	no	—
1877	C₄	—	10	1	no	—
1878	C₄	—	10	1	no	—
1879	C₄	—	20	1	no	—
1880	C₄	—	20	1	no	—
1881	C₄	—	20	1	no	—
1882	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1883	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1884	C₂	—	4	1	no	—
1885	C₂	—	8	1	no	—
1886	C₂	—	8	1	no	—
1887	C₂	—	10	2	no	—
1888	C₂	—	20	1	no	—
1889	C₂	—	40	1	no	—
1890	C₂	—	40	1	no	—
1891	C₂	—	40	1	no	—
1892	C₂	—	40	1	no	—
1893	C₂	—	40	1	no	—
1894	C₂	D₅×#535	1	1	yes	characteristic
1895	C₂	#10619108	1	1	yes	characteristic
1896	C₂	#10619111	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	#60815
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. #10618451	C₂	semidirect
2. #10618239	C₂	semidirect
3. C₅×#3225	C₂	semidirect
4. #10615194	C₂	semidirect
5. #10615140	C₂	semidirect
6. #10613608	C₂	semidirect
7. #10613603	C₂	semidirect
8. #10613557	C₂	semidirect
9. #10613554	C₂	semidirect
10. #10613416	C₂	semidirect
11. #10613411	C₂	semidirect
12. #10613334	C₂	semidirect
13. #10613330	C₂	semidirect
14. #10612338	C₂	semidirect
15. #10612333	C₂	semidirect
16. #10612271	C₂	semidirect
17. #10612267	C₂	semidirect
18. #10612212	C₂	semidirect
19. #10612210	C₂	semidirect
20. #10612165	C₂	semidirect
21. #10612161	C₂	semidirect
22. #10611994	C₂	semidirect
23. #10611958	C₂	semidirect
24. #10611934	C₂	semidirect
25. #10611913	C₂	semidirect
26. #10611849	C₂	semidirect
27. D₅×#449	C₂	semidirect
28. #10611771	C₂	semidirect
29. #10611767	C₂	semidirect
30. #10611121	C₂	semidirect
31. #10611105	C₂	semidirect
34. C₅×#542	C₂²	semidirect
35. C₅×#536	C₂²	semidirect
36. #66164	C₂²	semidirect
37. #66150	C₂²	semidirect
40. C₂×#4064	C₂²	semidirect
43. C₂×#4060	C₂²	semidirect
44. C₂×D₅×SD₁₆	C₂²	semidirect
45. C₂×D₅×D₈	C₂²	semidirect
46. #66063	C₂²	semidirect
47. #66059	C₂²	semidirect
48. #66059	C₂²	semidirect
49. #66059	C₂²	semidirect
54. #66014	C₂²	semidirect
58. #66008	C₂²	semidirect
60. #66002	C₂²	semidirect
61. #66002	C₂²	semidirect
68. #65977	C₂²	semidirect
76. #65953	C₂²	semidirect
78. #65914	C₂²	semidirect
79. #65908	C₂²	semidirect
80. #65882	C₂²	semidirect
81. #65879	C₂²	semidirect
82. #65869	C₂²	semidirect
83. #65859	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
93. C₅×#452	C₂²	semidirect
94. C₅×#451	C₂²	semidirect
96. C₅×#448	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
99. #65527	C₂²	semidirect
100. #65516	C₂²	semidirect
101. #65516	C₂²	semidirect
102. #65480	C₂²	semidirect
103. #65480	C₂²	semidirect
104. #65479	C₂²	semidirect
105. #65476	C₂²	semidirect
106. #65476	C₂²	semidirect
107. #65476	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
114. #65464	C₂²	semidirect
115. #65462	C₂²	semidirect
116. #65461	C₂²	semidirect
117. #65461	C₂²	semidirect
118. #65461	C₂²	semidirect
119. #65454	C₂²	semidirect
120. #65454	C₂²	semidirect
121. #65452	C₂²	semidirect
122. #65451	C₂²	semidirect
123. #65447	C₂²	semidirect
124. #65440	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65378	C₂²	semidirect
127. #65377	C₂²	semidirect
128. #65374	C₂²	semidirect
129. #65372	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65348	C₂²	semidirect
133. #65347	C₂²	semidirect
134. #65347	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65346	C₂²	semidirect
137. #65345	C₂²	semidirect
138. #65336	C₂²	semidirect
139. #65335	C₂²	semidirect
141. #65325	C₂²	semidirect
142. #65317	C₂²	semidirect
143. #65316	C₂²	semidirect
144. #65305	C₂²	semidirect
145. #65304	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65132	C₂²	semidirect
150. #65132	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65108	C₂²	semidirect
157. #65108	C₂²	semidirect
158. #65108	C₂²	semidirect
159. #65107	C₂²	semidirect
160. #65107	C₂²	semidirect
161. #65100	C₂²	semidirect
162. #65100	C₂²	semidirect
163. #65100	C₂²	semidirect
164. #65100	C₂²	semidirect
165. #65100	C₂²	semidirect
166. #65100	C₂²	semidirect
171. #65091	C₂²	semidirect
172. D₅×#103	C₂²	semidirect
173. #65089	C₂²	semidirect
174. #65089	C₂²	semidirect
175. #65086	C₂²	semidirect
176. #65084	C₂²	semidirect
177. #65084	C₂²	semidirect
178. #65081	C₂²	semidirect
179. #65075	C₂²	semidirect
180. #65075	C₂²	semidirect
181. #65070	C₂²	semidirect
182. #65070	C₂²	semidirect
183. #65059	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. #65053	C₂²	semidirect
186. #65049	C₂²	semidirect
188. #65023	C₂²	semidirect
189. #65021	C₂²	semidirect
190. #65021	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65002	C₂²	semidirect
196. #65001	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. #64986	C₂²	semidirect
200. #64984	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
494. #3225	D₅	semidirect
790. #542	C₂×D₅	semidirect
798. #536	C₂×D₅	semidirect
824. #497	C₂×D₅	semidirect
834. #495	C₂×D₅	semidirect
846. #489	C₂×D₅	semidirect
852. #487	C₂×D₅	semidirect
858. #464	C₂×D₅	semidirect
870. #463	C₂×D₅	semidirect
872. #462	C₂×D₅	semidirect
878. #461	C₂×D₅	semidirect
892. #452	C₂×D₅	semidirect
893. #451	C₂×D₅	semidirect
915. #448	C₂×D₅	semidirect
922. #433	C₂×D₅	semidirect
1826. C₅	#60815	semidirect

Maximal subgroups

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

subgroup	index
#10618451	2
#10618239	2
C₅×#3225	2
#10615194	2
#10615140	2
#10613608	2
#10613603	2
#10613557	2
#10613554	2
#10613416	2
#10613411	2
#10613334	2
#10613330	2
#10612338	2
#10612333	2
#10612271	2
#10612267	2
#10612212	2
#10612210	2
#10612165	2
#10612161	2
#10611994	2
#10611958	2
#10611934	2
#10611913	2
#10611849	2
D₅×#449	2
#10611771	2
#10611767	2
#10611121	2
#10611105	2
#60815	5