Subgroups — #12971005

Order 1280.

2058 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618060	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617977	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3211	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614876	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614677	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613557	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613556	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613552	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#495	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613374	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613373	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613371	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612342	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612341	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612331	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612278	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612277	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612268	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611934	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611916	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611879	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611874	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611790	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611772	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611735	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611730	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611039	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611014	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4147	C₂²	1	1	yes	characteristic
33	C₂×#4144	C₂²	1	1	yes	characteristic
34	C₅×#529	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
36	#66150	C₂²	1	1	yes	characteristic, complemented
37	#66139	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4061	C₂²	1	1	yes	characteristic
41	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
43	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4057	C₂²	1	1	yes	characteristic
45	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
46	#66039	—	2	1	no	—
47	#66036	—	2	1	no	—
48	#66025	C₂²	1	1	yes	characteristic, complemented
49	#66022	C₂²	1	1	yes	characteristic, complemented
50	#66014	C₂²	1	1	yes	characteristic, complemented
51	#66011	—	2	1	no	—
52	#66011	—	2	1	no	—
53	#66010	—	2	1	no	—
54	#66010	—	2	1	no	—
55	#66009	C₂²	1	1	yes	characteristic
56	#66009	C₂²	1	1	yes	characteristic, complemented
57	#66008	C₂²	1	1	yes	characteristic
58	#66008	C₂²	1	1	yes	characteristic, complemented
59	D₅×#124	C₂²	1	1	yes	characteristic
60	D₅×#124	C₂²	1	1	yes	characteristic, complemented
61	D₅×#124	C₂²	1	1	yes	characteristic, complemented
62	#66002	C₂²	1	1	yes	characteristic
63	#66002	C₂²	1	1	yes	characteristic, complemented
64	#65998	—	2	1	no	—
65	#65993	—	2	1	no	—
66	#65977	C₂²	1	1	yes	characteristic, complemented
67	#65962	C₂²	1	1	yes	characteristic
68	#65941	C₂²	1	1	yes	characteristic
69	#65937	C₂²	1	1	yes	characteristic, complemented
70	#65916	C₂²	1	1	yes	characteristic, complemented
71	#65906	C₂²	1	1	yes	characteristic, complemented
72	#65895	C₂²	1	1	yes	characteristic, complemented
73	#65893	—	2	1	no	—
74	#65890	—	2	1	no	—
75	#65879	C₂²	1	1	yes	characteristic, complemented
76	#65867	—	2	1	no	—
77	#65861	—	2	1	no	—
78	#65824	—	2	1	no	—
79	#65824	—	2	1	no	—
80	#65824	—	2	1	no	—
81	#65824	—	2	1	no	—
82	#65813	C₂²	1	1	yes	characteristic, complemented
83	#65811	C₂²	1	1	yes	characteristic, complemented
84	C₄×#709	C₂²	1	1	yes	characteristic
85	C₅×#495	C₂²	1	1	yes	characteristic, complemented
86	C₅×#495	C₂²	1	1	yes	characteristic, complemented
87	C₅×#488	C₂²	1	1	yes	characteristic, complemented
88	C₅×#488	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#464	C₂²	1	1	yes	characteristic, complemented
91	C₅×#463	C₂²	1	1	yes	characteristic, complemented
92	C₅×#463	C₂²	1	1	yes	characteristic, complemented
93	C₅×#451	C₂²	1	1	yes	characteristic, complemented
94	C₅×#450	C₂²	1	1	yes	characteristic, complemented
95	C₅×#448	C₂²	1	1	yes	characteristic, complemented
96	C₅×#447	C₂²	1	1	yes	characteristic
97	C₅×#431	C₂²	1	1	yes	characteristic, complemented
98	#65517	C₂²	1	1	yes	characteristic, complemented
99	#65516	C₂²	1	1	yes	characteristic, complemented
100	#65507	C₂²	1	1	yes	characteristic, complemented
101	#65506	C₂²	1	1	yes	characteristic
102	#65480	C₂²	1	1	yes	characteristic, complemented
103	#65479	C₂²	1	1	yes	characteristic, complemented
104	#65476	C₂²	1	1	yes	characteristic, complemented
105	#65475	C₂²	1	1	yes	characteristic, complemented
106	#65474	C₂²	1	1	yes	characteristic, complemented
107	#65471	C₂²	1	1	yes	characteristic, complemented
108	#65465	C₂²	1	1	yes	characteristic, complemented
109	#65462	C₂²	1	1	yes	characteristic, complemented
110	#65461	C₂²	1	1	yes	characteristic, complemented
111	#65459	C₂²	1	1	yes	characteristic, complemented
112	#65458	C₂²	1	1	yes	characteristic, complemented
113	#65457	C₂²	1	1	yes	characteristic, complemented
114	#65457	C₂²	1	1	yes	characteristic, complemented
115	#65456	C₂²	1	1	yes	characteristic, complemented
116	#65455	C₂²	1	1	yes	characteristic, complemented
117	#65454	C₂²	1	1	yes	characteristic, complemented
118	#65452	C₂²	1	1	yes	characteristic, complemented
119	#65451	C₂²	1	1	yes	characteristic, complemented
120	#65447	C₂²	1	1	yes	characteristic
121	#65445	C₂²	1	1	yes	characteristic
122	#65444	C₂²	1	1	yes	characteristic, complemented
123	#65443	C₂²	1	1	yes	characteristic, complemented
124	#65442	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65357	C₂²	1	1	yes	characteristic, complemented
127	#65357	C₂²	1	1	yes	characteristic, complemented
128	#65348	C₂²	1	1	yes	characteristic, complemented
129	#65348	C₂²	1	1	yes	characteristic, complemented
130	#65348	C₂²	1	1	yes	characteristic, complemented
131	#65348	C₂²	1	1	yes	characteristic, complemented
132	#65346	C₂²	1	1	yes	characteristic, complemented
133	#65346	C₂²	1	1	yes	characteristic, complemented
134	#65345	C₂²	1	1	yes	characteristic, complemented
135	#65345	C₂²	1	1	yes	characteristic, complemented
136	#65343	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65336	C₂²	1	1	yes	characteristic, complemented
139	#65336	C₂²	1	1	yes	characteristic, complemented
140	#65326	C₂²	1	1	yes	characteristic
141	#65326	C₂²	1	1	yes	characteristic, complemented
142	#65320	C₂²	1	1	yes	characteristic, complemented
143	#65316	C₂²	1	1	yes	characteristic, complemented
144	#65308	C₂²	1	1	yes	characteristic, complemented
145	#65304	C₂²	1	1	yes	characteristic, complemented
146	#65214	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65137	C₂²	1	1	yes	characteristic, complemented
149	#65132	C₂²	1	1	yes	characteristic, complemented
150	#65130	C₂²	1	1	yes	characteristic, complemented
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65129	C₂²	1	1	yes	characteristic, complemented
153	#65128	C₂²	1	1	yes	characteristic, complemented
154	#65128	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65107	C₂²	1	1	yes	characteristic, complemented
157	#65100	C₂²	1	1	yes	characteristic, complemented
158	#65099	C₂²	1	1	yes	characteristic, complemented
159	#65097	C₂²	1	1	yes	characteristic, complemented
160	#65095	C₂²	1	1	yes	characteristic, complemented
161	#65093	C₂²	1	1	yes	characteristic, complemented
162	#65093	C₂²	1	1	yes	characteristic, complemented
163	#65091	C₂²	1	1	yes	characteristic, complemented
164	#65091	C₂²	1	1	yes	characteristic, complemented
165	#65087	C₂²	1	1	yes	characteristic, complemented
166	#65084	C₂²	1	1	yes	characteristic, complemented
167	#65084	C₂²	1	1	yes	characteristic, complemented
168	#65082	C₂²	1	1	yes	characteristic, complemented
169	#65081	C₂²	1	1	yes	characteristic, complemented
170	#65081	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic, complemented
172	#65075	C₂²	1	1	yes	characteristic, complemented
173	#65072	C₂²	1	1	yes	characteristic, complemented
174	#65070	C₂²	1	1	yes	characteristic
175	#65065	C₂²	1	1	yes	characteristic, complemented
176	#65062	C₂²	1	1	yes	characteristic
177	#65061	C₂²	1	1	yes	characteristic
178	#65061	C₂²	1	1	yes	characteristic
179	#65059	C₂²	1	1	yes	characteristic
180	#65059	C₂²	1	1	yes	characteristic
181	#65056	C₂²	1	1	yes	characteristic, complemented
182	#65054	C₂²	1	1	yes	characteristic, complemented
183	#65054	C₂²	1	1	yes	characteristic, complemented
184	#65051	C₂²	1	1	yes	characteristic, complemented
185	#65049	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	#65022	C₂²	1	1	yes	characteristic, complemented
190	#65022	C₂²	1	1	yes	characteristic, complemented
191	#65016	C₂²	1	1	yes	characteristic
192	#65016	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#64986	C₂²	1	1	yes	characteristic, complemented
196	#64986	C₂²	1	1	yes	characteristic, complemented
197	#64985	C₂²	1	1	yes	characteristic, complemented
198	#64985	C₂²	1	1	yes	characteristic, complemented
199	C₄×#676	C₂²	1	1	yes	characteristic, complemented
200	#64974	C₂²	1	1	yes	characteristic, complemented
201	#64974	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#60819	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	#4147	—	4	2	no	—
209	#4147	—	4	2	no	—
210	C₂×#713	—	2	1	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	—	2	1	no	—
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
217	#4144	—	4	2	no	—
218	#4144	—	4	2	no	—
219	C₂×#711	—	2	1	no	—
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
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	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
239	C₅×#126	—	2	1	no	—
240	C₅×#125	C₂³	1	1	yes	characteristic
241	C₅×#124	—	2	1	no	—
242	C₅×#124	—	2	1	no	—
243	C₅×#124	C₂³	1	1	yes	characteristic
244	C₅×#124	C₂³	1	1	yes	characteristic
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×#124	C₂³	1	1	yes	characteristic
247	C₅×#124	C₂³	1	1	yes	characteristic
248	C₅×#123	—	2	1	no	—
249	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₅×#121	C₂³	1	1	yes	characteristic
251	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
252	C₄×C₅×D₄	—	2	1	no	—
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
254	C₅×#117	—	2	1	no	—
255	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
256	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
258	#4099	—	2	1	no	—
259	#4099	—	2	1	no	—
260	#4093	C₂³	1	1	yes	characteristic
261	#4093	C₂³	1	1	yes	characteristic
262	#4093	C₂³	1	1	yes	characteristic
263	#4092	—	2	1	no	—
264	#4092	—	2	1	no	—
265	#4092	C₂³	1	1	yes	characteristic
266	Q₈×Dic₅	C₂³	1	1	yes	characteristic
267	#4090	C₂³	1	1	yes	characteristic
268	#4090	C₂³	1	1	yes	characteristic
269	C₂×#689	C₂³	1	1	yes	characteristic
270	C₂×#689	C₂³	1	1	yes	characteristic
271	C₂×#689	C₂³	1	1	yes	characteristic
272	C₂×#689	C₂³	1	1	yes	characteristic
273	C₂×#688	C₂³	1	1	yes	characteristic
274	C₂×#688	C₂³	1	1	yes	characteristic
275	C₂×#688	C₂³	1	1	yes	characteristic
276	C₂×#688	C₂³	1	1	yes	characteristic
277	#4086	—	2	1	no	—
278	#4086	C₂³	1	1	yes	characteristic
279	#4086	C₂³	1	1	yes	characteristic
280	#4084	—	2	1	no	—
281	#4084	—	2	1	no	—
282	#4084	C₂³	1	1	yes	characteristic
283	#4083	—	2	1	no	—
284	#4082	—	2	1	no	—
285	#4082	C₂³	1	1	yes	characteristic
286	#4082	C₂³	1	1	yes	characteristic
287	#4082	C₂³	1	1	yes	characteristic
288	#4081	—	2	1	no	—
289	D₄×Dic₅	C₂³	1	1	yes	characteristic
290	C₂×#687	C₂³	1	1	yes	characteristic
291	C₂×#687	C₂³	1	1	yes	characteristic
292	C₂×#687	C₂³	1	1	yes	characteristic
293	C₂×#687	C₂³	1	1	yes	characteristic
294	C₂×#686	C₂³	1	1	yes	characteristic
295	C₂×#686	C₂³	1	1	yes	characteristic
296	C₂×#686	C₂³	1	1	yes	characteristic
297	C₂×#686	C₂³	1	1	yes	characteristic
298	#4076	—	2	1	no	—
299	#4076	—	2	1	no	—
300	#4076	C₂³	1	1	yes	characteristic
301	#4075	—	2	1	no	—
302	#4075	—	2	1	no	—
303	#4075	—	2	1	no	—
304	#4075	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
308	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
309	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
310	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
311	C₂×#685	—	2	1	no	—
312	#4072	C₂³	1	1	yes	characteristic
313	#4070	—	2	1	no	—
314	#4070	C₂³	1	1	yes	characteristic
315	#4064	—	4	2	no	—
316	D₅×Q₁₆	—	4	2	no	—
317	#4061	—	4	2	no	—
318	#4060	—	4	2	no	—
319	D₅×SD₁₆	—	4	2	no	—
320	D₅×SD₁₆	—	4	2	no	—
321	#4057	—	4	2	no	—
322	D₅×D₈	—	4	2	no	—
323	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
324	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
325	C₂×D₄₀	C₂³	1	1	yes	characteristic
326	C₂×D₄₀	C₂³	1	1	yes	characteristic
327	C₂×#677	C₂³	1	1	yes	characteristic
328	C₂×#677	C₂³	1	1	yes	characteristic
329	C₂×#677	C₂³	1	1	yes	characteristic
330	C₂×#677	C₂³	1	1	yes	characteristic
331	C₂×#676	C₂³	1	1	yes	characteristic
332	C₂×#676	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
335	#4044	—	2	1	no	—
336	#4044	—	2	1	no	—
337	#4043	—	2	1	no	—
338	#4043	C₂³	1	1	yes	characteristic
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4042	—	2	1	no	—
342	#4041	C₂³	1	1	yes	characteristic
343	#4040	—	2	1	no	—
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4039	—	2	1	no	—
347	#4039	C₂³	1	1	yes	characteristic
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	#4038	C₂³	1	1	yes	characteristic
351	#4038	C₂³	1	1	yes	characteristic
352	#4034	—	2	1	no	—
353	#4034	C₂³	1	1	yes	characteristic
354	#4034	C₂³	1	1	yes	characteristic
355	#4033	—	2	1	no	—
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	C₂³	1	1	yes	characteristic
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4028	—	2	1	no	—
385	#4028	—	2	1	no	—
386	#4028	—	2	1	no	—
387	#4028	—	2	1	no	—
388	#4028	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4027	—	2	1	no	—
392	#4027	—	2	1	no	—
393	#4027	—	2	1	no	—
394	#4027	—	2	1	no	—
395	D₅×C₂²⋊C₄	—	2	1	no	—
396	D₅×C₂²⋊C₄	—	2	1	no	—
397	D₅×C₂²⋊C₄	—	2	1	no	—
398	D₅×C₂²⋊C₄	—	2	1	no	—
399	D₅×C₂²⋊C₄	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	#4025	—	2	1	no	—
403	#4025	—	2	1	no	—
404	#4025	—	2	1	no	—
405	#4024	—	2	1	no	—
406	#4024	—	2	1	no	—
407	#4024	—	2	1	no	—
408	#4024	—	2	1	no	—
409	#4024	—	2	1	no	—
410	#4023	—	2	1	no	—
411	#4022	—	2	1	no	—
412	#4022	—	2	1	no	—
413	#4021	—	2	1	no	—
414	#4021	C₂³	1	1	yes	characteristic
415	#4021	C₂³	1	1	yes	characteristic
416	#4021	C₂³	1	1	yes	characteristic
417	#4020	C₂³	1	1	yes	characteristic
418	C₄×D₂₀	—	2	1	no	—
419	C₄×D₂₀	—	2	1	no	—
420	C₄×D₂₀	D₄	1	1	yes	characteristic
421	C₄×D₂₀	D₄	1	1	yes	characteristic
422	C₄×D₂₀	C₂³	1	1	yes	characteristic
423	#4018	—	2	1	no	—
424	#4018	—	2	1	no	—
425	#4018	C₂³	1	1	yes	characteristic
426	#4018	C₂³	1	1	yes	characteristic
427	C₄²×D₅	C₂³	1	1	yes	characteristic
428	C₄²×D₅	C₂³	1	1	yes	characteristic
429	#4016	C₂³	1	1	yes	characteristic
430	#4015	C₂³	1	1	yes	characteristic
431	C₄×Dic₁₀	—	2	1	no	—
432	C₄×Dic₁₀	D₄	1	1	yes	characteristic
433	C₄×Dic₁₀	D₄	1	1	yes	characteristic
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₅×#103	C₂³	1	1	yes	characteristic
438	C₅×#103	C₂³	1	1	yes	characteristic
439	C₅×#103	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#102	C₂³	1	1	yes	characteristic
442	C₅×#102	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	C₄×C₅×C₈	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	#3964	C₂³	1	1	yes	characteristic
454	#3964	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	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3948	C₂³	1	1	yes	characteristic
468	#3948	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	#3942	C₂³	1	1	yes	characteristic
482	#3942	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	C₄×#168	C₂³	1	1	yes	characteristic
490	C₄×#168	C₂³	1	1	yes	characteristic
491	#3510	—	5	1	no	—
492	#3500	—	5	1	no	—
493	#3225	—	5	1	no	—
494	#3225	—	5	1	no	—
495	#3225	—	5	1	no	—
496	#3225	—	5	1	no	—
497	#3224	—	5	1	no	—
498	#3224	—	5	1	no	—
499	#3224	—	5	1	no	—
500	#3224	—	5	1	no	—
501	#3212	—	5	1	no	—
502	#3212	—	5	1	no	—
503	#3212	—	5	1	no	—
504	#3212	—	5	1	no	—
505	#3211	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3211	—	5	1	no	—
508	#3211	D₅	1	1	yes	characteristic, complemented
509	#3153	—	5	1	no	—
510	C₂×#495	—	5	1	no	—
511	#3140	—	5	1	no	—
512	#3131	—	5	1	no	—
513	#3044	—	5	1	no	—
514	#3043	—	5	1	no	—
515	#3042	—	5	1	no	—
516	#3041	—	5	1	no	—
517	#3011	—	5	1	no	—
518	#3010	—	5	1	no	—
519	#3009	—	5	1	no	—
520	#3008	—	5	1	no	—
521	#2922	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	4	1	no	—
528	C₂×C₅×Q₈	—	4	1	no	—
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	4	1	no	—
535	C₂×C₅×D₄	—	4	1	no	—
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	—	4	4	no	—
558	C₂×C₂²⋊D₅	—	4	4	no	—
559	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
561	C₂²×Dic₅	—	2	1	no	—
562	C₂²×Dic₅	—	2	1	no	—
563	C₂²×Dic₅	—	2	1	no	—
564	#713	—	2	2	no	—
565	#713	—	2	2	no	—
566	#713	—	4	1	no	—
567	#713	—	4	1	no	—
568	#713	—	4	4	no	—
569	Q₈×D₅	—	2	2	no	—
570	Q₈×D₅	—	2	2	no	—
571	Q₈×D₅	—	2	2	no	—
572	Q₈×D₅	—	2	2	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	4	1	no	—
575	Q₈×D₅	—	4	4	no	—
576	#711	—	2	2	no	—
577	#711	—	2	2	no	—
578	#711	—	4	1	no	—
579	#711	—	4	1	no	—
580	#711	—	4	4	no	—
581	D₄×D₅	—	2	2	no	—
582	D₄×D₅	—	2	2	no	—
583	D₄×D₅	—	2	2	no	—
584	D₄×D₅	—	2	2	no	—
585	D₄×D₅	—	4	1	no	—
586	D₄×D₅	—	4	1	no	—
587	D₄×D₅	—	4	4	no	—
588	#709	—	2	2	no	—
589	#709	—	2	2	no	—
590	#709	—	4	1	no	—
591	#709	—	4	1	no	—
592	#709	—	4	1	no	—
593	#709	—	4	1	no	—
594	#709	—	4	4	no	—
595	#709	—	4	4	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×D₂₀	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	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	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
626	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
629	C₅×Q₁₆	—	4	1	no	—
630	C₅×Q₁₆	—	4	1	no	—
631	C₅×SD₁₆	—	4	1	no	—
632	C₅×SD₁₆	—	4	1	no	—
633	C₅×SD₁₆	—	4	1	no	—
634	C₅×SD₁₆	—	4	1	no	—
635	C₅×D₈	—	4	1	no	—
636	C₅×D₈	—	4	1	no	—
637	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
638	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
639	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	—	2	1	no	—
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₄²×C₅	—	2	1	no	—
661	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
662	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₅	C₂⁴	1	1	yes	characteristic
664	C₄²×C₅	C₂⁴	1	1	yes	characteristic
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
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	—	2	1	no	—
674	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
676	#689	—	4	1	no	—
677	#689	—	4	1	no	—
678	#689	—	4	1	no	—
679	#689	—	4	1	no	—
680	#688	—	4	1	no	—
681	#688	—	4	1	no	—
682	#688	—	4	1	no	—
683	#688	—	4	1	no	—
684	#687	—	4	1	no	—
685	#687	—	4	1	no	—
686	#687	—	4	1	no	—
687	#687	—	4	1	no	—
688	#686	—	4	1	no	—
689	#686	—	4	1	no	—
690	#686	—	4	1	no	—
691	#686	—	4	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	#685	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	C₂×D₄	1	1	yes	characteristic
713	#685	C₂×D₄	1	1	yes	characteristic
714	#685	C₂×D₄	1	1	yes	characteristic
715	#685	C₂×D₄	1	1	yes	characteristic
716	C₄⋊Dic₅	—	2	1	no	—
717	C₄⋊Dic₅	—	2	1	no	—
718	C₄⋊Dic₅	—	2	1	no	—
719	C₄⋊Dic₅	—	2	1	no	—
720	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	C₂×D₄	1	1	yes	characteristic
737	#683	C₂×D₄	1	1	yes	characteristic
738	#683	C₂×D₄	1	1	yes	characteristic
739	#683	C₂×D₄	1	1	yes	characteristic
740	C₄×Dic₅	—	2	1	no	—
741	C₄×Dic₅	—	2	1	no	—
742	C₄×Dic₅	—	2	1	no	—
743	C₄×Dic₅	—	2	1	no	—
744	C₄×Dic₅	—	2	1	no	—
745	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
746	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
747	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
748	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
750	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
751	C₂×#168	C₂⁴	1	1	yes	characteristic
752	C₂×#168	C₂⁴	1	1	yes	characteristic
753	C₂×#168	C₂⁴	1	1	yes	characteristic
754	C₂×#168	C₂⁴	1	1	yes	characteristic
755	Dic₂₀	—	4	1	no	—
756	Dic₂₀	—	4	1	no	—
757	D₄₀	—	4	1	no	—
758	D₄₀	—	4	1	no	—
759	#677	—	4	1	no	—
760	#677	—	4	1	no	—
761	#677	—	4	1	no	—
762	#677	—	4	1	no	—
763	#676	—	2	2	no	—
764	#676	—	2	2	no	—
765	C₈×D₅	—	2	2	no	—
766	C₈×D₅	—	2	2	no	—
767	C₂×2₋¹⁺⁴	—	5	1	no	—
768	C₂×H(5,𝔽₂)	—	5	1	no	—
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×AGL(1,ℤ/8)	—	5	1	no	—
772	C₂×AGL(1,ℤ/8)	—	5	1	no	—
773	C₂²×Q₁₆	—	5	1	no	—
774	C₂²×SD₁₆	—	5	1	no	—
775	C₂²×SD₁₆	—	5	1	no	—
776	C₂²×D₈	—	5	1	no	—
777	#559	—	10	1	no	—
778	#559	—	10	1	no	—
779	#556	—	10	1	no	—
780	#556	—	10	1	no	—
781	#551	—	10	1	no	—
782	#551	—	10	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	#548	—	10	1	no	—
786	#548	—	10	1	no	—
787	#546	—	10	1	no	—
788	#546	—	10	1	no	—
789	#546	—	10	1	no	—
790	#546	—	10	1	no	—
791	#546	—	10	1	no	—
792	#546	—	10	1	no	—
793	#542	—	5	1	no	—
794	#542	—	5	1	no	—
795	#542	—	5	1	no	—
796	#542	—	5	1	no	—
797	#536	—	5	1	no	—
798	#536	—	5	1	no	—
799	#536	—	5	1	no	—
800	#536	—	5	1	no	—
801	#535	—	5	1	no	—
802	#535	—	5	1	no	—
803	#535	—	5	1	no	—
804	#535	—	5	1	no	—
805	#533	—	5	1	no	—
806	#532	—	5	1	no	—
807	#532	—	5	1	no	—
808	#532	—	5	1	no	—
809	#529	—	5	1	no	—
810	#529	—	5	1	no	—
811	#529	—	5	1	no	—
812	#529	C₂×D₅	1	1	yes	characteristic, complemented
813	C₂×#124	—	5	1	no	—
814	C₂×#124	—	5	1	no	—
815	C₂×#124	—	5	1	no	—
816	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
817	#519	—	5	1	no	—
818	#518	—	5	1	no	—
819	C₄×#41	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#496	—	5	1	no	—
823	#496	—	5	1	no	—
824	#495	—	5	1	no	—
825	#495	—	5	1	no	—
826	#495	—	5	1	no	—
827	#495	—	5	1	no	—
828	#495	—	5	1	no	—
829	#495	—	5	1	no	—
830	#495	—	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	#495	C₂×D₅	1	1	yes	characteristic, complemented
836	#489	—	5	1	no	—
837	#489	—	5	1	no	—
838	#489	—	5	1	no	—
839	#489	—	5	1	no	—
840	#488	—	5	1	no	—
841	#488	—	5	1	no	—
842	#488	—	5	1	no	—
843	#488	—	5	1	no	—
844	#488	—	5	1	no	—
845	#488	—	5	1	no	—
846	#488	C₂×D₅	1	1	yes	characteristic, complemented
847	#488	C₂×D₅	1	1	yes	characteristic, complemented
848	#487	—	5	1	no	—
849	#487	—	5	1	no	—
850	#486	—	5	1	no	—
851	#486	—	5	1	no	—
852	#464	—	5	1	no	—
853	#464	—	5	1	no	—
854	#464	—	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	#464	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
867	#463	C₂×D₅	1	1	yes	characteristic, complemented
868	#462	—	5	1	no	—
869	#462	—	5	1	no	—
870	#462	—	5	1	no	—
871	#462	—	5	1	no	—
872	#461	—	5	1	no	—
873	#461	—	5	1	no	—
874	#461	—	5	1	no	—
875	#461	—	5	1	no	—
876	#460	—	5	1	no	—
877	#460	—	5	1	no	—
878	#460	—	5	1	no	—
879	#460	—	5	1	no	—
880	#459	—	5	1	no	—
881	#459	—	5	1	no	—
882	#459	—	5	1	no	—
883	#459	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#452	—	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	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#451	C₂×D₅	1	1	yes	characteristic, complemented
896	#450	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#450	C₂×D₅	1	1	yes	characteristic, complemented
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	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#448	—	5	1	no	—
911	#448	C₂×D₅	1	1	yes	characteristic, complemented
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	#447	—	5	1	no	—
915	#447	C₂×D₅	1	1	yes	characteristic
916	#433	—	5	1	no	—
917	#433	—	5	1	no	—
918	#433	—	5	1	no	—
919	#433	—	5	1	no	—
920	#431	—	5	1	no	—
921	#431	—	5	1	no	—
922	#431	—	5	1	no	—
923	#431	C₂×D₅	1	1	yes	characteristic, complemented
924	#424	—	5	1	no	—
925	#424	—	5	1	no	—
926	#419	—	5	1	no	—
927	#419	—	5	1	no	—
928	#418	—	5	1	no	—
929	#418	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	—	5	1	no	—
932	#416	—	5	1	no	—
933	#416	—	5	1	no	—
934	#408	—	5	1	no	—
935	#408	—	5	1	no	—
936	C₄×M₁₆	—	5	1	no	—
937	C₂×C₄×C₈	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	2	1	no	—
940	C₂³×C₅	—	2	1	no	—
941	C₂³×C₅	—	4	2	no	—
942	C₂³×C₅	—	8	1	no	—
943	C₂³×C₅	—	8	1	no	—
944	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂²×D₅	—	2	1	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	8	1	no	—
952	C₂²×D₅	—	8	1	no	—
953	C₂²×D₅	—	8	1	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
958	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	2	1	no	—
962	C₅×Q₈	—	2	1	no	—
963	C₅×Q₈	—	2	1	no	—
964	C₅×Q₈	—	2	1	no	—
965	C₅×Q₈	—	4	2	no	—
966	C₅×D₄	—	2	1	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	2	1	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	2	1	no	—
971	C₅×D₄	—	2	1	no	—
972	C₅×D₄	—	4	2	no	—
973	C₅×D₄	—	8	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	4	1	no	—
982	C₂×C₄×C₅	—	4	1	no	—
983	C₂×C₄×C₅	—	4	2	no	—
984	C₂×C₄×C₅	—	8	1	no	—
985	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
991	C₂²⋊D₅	—	2	2	no	—
992	C₂²⋊D₅	—	2	2	no	—
993	C₂²⋊D₅	—	4	2	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	4	2	no	—
996	C₂²⋊D₅	—	4	2	no	—
997	C₂²⋊D₅	—	4	2	no	—
998	C₂²⋊D₅	—	4	2	no	—
999	C₂²⋊D₅	—	4	2	no	—
1000	C₂²⋊D₅	—	8	1	no	—
1001	C₂²⋊D₅	—	8	1	no	—
1002	C₂²⋊D₅	—	8	1	no	—
1003	C₂²⋊D₅	—	8	1	no	—
1004	C₂²⋊D₅	—	8	1	no	—
1005	C₂²⋊D₅	—	8	1	no	—
1006	C₂×Dic₅	—	2	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	2	1	no	—
1009	C₂×Dic₅	—	2	1	no	—
1010	C₂×Dic₅	—	2	1	no	—
1011	C₂×Dic₅	—	4	2	no	—
1012	C₂×Dic₅	—	4	2	no	—
1013	C₂×Dic₅	—	8	1	no	—
1014	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1020	D₂₀	—	2	2	no	—
1021	D₂₀	—	2	1	no	—
1022	D₂₀	—	2	1	no	—
1023	D₂₀	—	2	1	no	—
1024	D₂₀	—	2	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	2	1	no	—
1027	D₂₀	—	4	2	no	—
1028	D₂₀	—	4	2	no	—
1029	D₂₀	—	8	1	no	—
1030	D₂₀	—	8	1	no	—
1031	D₂₀	—	8	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	1	no	—
1034	C₄×D₅	—	4	1	no	—
1035	C₄×D₅	—	4	1	no	—
1036	C₄×D₅	—	4	1	no	—
1037	C₄×D₅	—	4	1	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	—	8	1	no	—
1046	C₄×D₅	—	8	1	no	—
1047	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1048	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1049	Dic₁₀	—	2	2	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	8	1	no	—
1060	Dic₁₀	—	8	1	no	—
1061	C₅×C₈	—	2	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	C₅×C₈	—	2	1	no	—
1064	C₅×C₈	—	2	1	no	—
1065	#168	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	#168	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	2₋¹⁺⁴	—	20	2	no	—
1070	2₋¹⁺⁴	—	20	2	no	—
1071	H(5,𝔽₂)	—	20	2	no	—
1072	H(5,𝔽₂)	—	20	2	no	—
1073	C₂×#41	—	5	1	no	—
1074	C₂×#41	—	5	1	no	—
1075	C₂×#41	—	5	1	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	5	1	no	—
1079	C₂×#41	—	5	1	no	—
1080	C₂×#41	—	10	1	no	—
1081	C₂×#41	—	10	1	no	—
1082	C₂×#41	—	10	1	no	—
1083	C₂×#41	—	10	1	no	—
1084	C₂²×Q₈	—	5	1	no	—
1085	C₂²×Q₈	—	5	1	no	—
1086	C₂²×Q₈	—	5	1	no	—
1087	C₂²×Q₈	—	10	1	no	—
1088	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1089	C₂²×D₄	—	5	1	no	—
1090	C₂²×D₄	—	5	1	no	—
1091	C₂²×D₄	—	5	1	no	—
1092	C₂²×D₄	—	10	1	no	—
1093	C₂²×D₄	—	10	1	no	—
1094	C₂²×D₄	—	10	1	no	—
1095	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1096	#137	—	20	2	no	—
1097	#137	—	20	2	no	—
1098	AGL(1,ℤ/8)	—	20	2	no	—
1099	AGL(1,ℤ/8)	—	20	2	no	—
1100	C₂×Q₁₆	—	5	1	no	—
1101	C₂×Q₁₆	—	5	1	no	—
1102	C₂×Q₁₆	—	5	1	no	—
1103	C₂×Q₁₆	—	5	1	no	—
1104	C₂×Q₁₆	—	5	1	no	—
1105	C₂×Q₁₆	—	5	1	no	—
1106	C₂×Q₁₆	—	20	2	no	—
1107	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1109	C₂×SD₁₆	—	5	1	no	—
1110	C₂×SD₁₆	—	5	1	no	—
1111	C₂×SD₁₆	—	5	1	no	—
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×SD₁₆	—	5	1	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	—	5	1	no	—
1121	C₂×SD₁₆	—	20	2	no	—
1122	C₂×SD₁₆	—	20	2	no	—
1123	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1127	C₂×D₈	—	5	1	no	—
1128	C₂×D₈	—	5	1	no	—
1129	C₂×D₈	—	5	1	no	—
1130	C₂×D₈	—	5	1	no	—
1131	C₂×D₈	—	5	1	no	—
1132	C₂×D₈	—	5	1	no	—
1133	C₂×D₈	—	20	2	no	—
1134	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1135	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1136	C₂×M₁₆	—	5	1	no	—
1137	C₂×M₁₆	—	5	1	no	—
1138	C₂²×C₈	—	5	1	no	—
1139	C₂²×C₈	—	5	1	no	—
1140	C₄⋊Q₈	—	5	1	no	—
1141	C₄⋊Q₈	—	5	1	no	—
1142	C₄⋊Q₈	—	5	1	no	—
1143	C₄⋊Q₈	—	5	1	no	—
1144	C₄⋊Q₈	—	5	1	no	—
1145	C₄⋊Q₈	—	10	1	no	—
1146	#127	—	5	1	no	—
1147	#127	—	5	1	no	—
1148	#127	—	5	1	no	—
1149	#127	—	10	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	10	1	no	—
1152	#126	—	10	1	no	—
1153	#126	—	10	1	no	—
1154	#126	—	10	1	no	—
1155	#126	—	10	1	no	—
1156	#126	—	10	1	no	—
1157	#126	—	10	1	no	—
1158	#125	—	5	1	no	—
1159	#125	C₂²×D₅	1	1	yes	characteristic
1160	#124	—	2	1	no	—
1161	#124	—	2	1	no	—
1162	#124	—	5	1	no	—
1163	#124	—	5	1	no	—
1164	#124	—	5	1	no	—
1165	#124	—	5	1	no	—
1166	#124	—	5	1	no	—
1167	#124	—	5	1	no	—
1168	#124	—	5	1	no	—
1169	#124	—	5	1	no	—
1170	#124	—	5	1	no	—
1171	#124	—	10	1	no	—
1172	#124	—	10	1	no	—
1173	#124	—	10	1	no	—
1174	#124	—	10	1	no	—
1175	#124	—	10	1	no	—
1176	#124	—	10	1	no	—
1177	#124	—	10	1	no	—
1178	#124	—	10	1	no	—
1179	#124	—	10	1	no	—
1180	#124	—	10	1	no	—
1181	#124	—	10	1	no	—
1182	#124	—	10	1	no	—
1183	#124	C₂²×D₅	1	1	yes	characteristic
1184	#124	C₂²×D₅	1	1	yes	characteristic
1185	#124	C₂²×D₅	1	1	yes	characteristic
1186	#124	C₂²×D₅	1	1	yes	characteristic
1187	#124	C₂²×D₅	1	1	yes	characteristic
1188	#123	—	2	1	no	—
1189	#123	—	10	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	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	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1224	#121	—	10	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	C₂²×D₅	1	1	yes	characteristic
1236	#120	—	10	1	no	—
1237	#120	—	10	1	no	—
1238	#120	—	10	1	no	—
1239	#120	—	10	1	no	—
1240	#120	—	10	1	no	—
1241	#120	—	10	1	no	—
1242	#120	—	10	1	no	—
1243	#120	—	10	1	no	—
1244	C₄×Q₈	—	5	1	no	—
1245	C₄×Q₈	—	5	1	no	—
1246	C₄×Q₈	—	5	1	no	—
1247	C₄×Q₈	—	5	1	no	—
1248	C₄×Q₈	—	5	1	no	—
1249	C₄×Q₈	—	10	1	no	—
1250	C₄×Q₈	—	10	1	no	—
1251	C₄×Q₈	—	10	1	no	—
1252	C₄×Q₈	—	10	1	no	—
1253	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	5	1	no	—
1256	C₄×D₄	—	5	1	no	—
1257	C₄×D₄	—	5	1	no	—
1258	C₄×D₄	—	5	1	no	—
1259	C₄×D₄	—	5	1	no	—
1260	C₄×D₄	—	5	1	no	—
1261	C₄×D₄	—	5	1	no	—
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	5	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	C₄×D₄	—	10	1	no	—
1266	C₄×D₄	—	10	1	no	—
1267	C₄×D₄	—	10	1	no	—
1268	C₄×D₄	—	10	1	no	—
1269	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1276	#117	—	2	1	no	—
1277	#117	—	5	1	no	—
1278	#117	—	5	1	no	—
1279	#117	—	5	1	no	—
1280	#117	—	5	1	no	—
1281	#117	—	5	1	no	—
1282	#117	—	10	1	no	—
1283	#117	—	10	1	no	—
1284	#117	—	10	1	no	—
1285	#117	—	10	1	no	—
1286	#117	—	10	1	no	—
1287	C₂×C₂²⋊C₄	—	2	1	no	—
1288	C₂×C₂²⋊C₄	—	2	1	no	—
1289	C₂×C₂²⋊C₄	—	10	1	no	—
1290	C₂×C₂²⋊C₄	—	10	1	no	—
1291	C₂×C₂²⋊C₄	—	10	1	no	—
1292	C₂×C₂²⋊C₄	—	10	1	no	—
1293	C₂×C₂²⋊C₄	—	10	1	no	—
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	C₂×C₄²	—	5	1	no	—
1298	C₂×C₄²	—	5	1	no	—
1299	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1300	C₄⋊C₈	—	5	1	no	—
1301	C₄⋊C₈	—	5	1	no	—
1302	C₄⋊C₈	—	5	1	no	—
1303	C₄⋊C₈	—	5	1	no	—
1304	C₄⋊C₈	—	5	1	no	—
1305	C₄⋊C₈	—	5	1	no	—
1306	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1307	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	C₂²×D₅	1	1	yes	characteristic
1321	#103	C₂²×D₅	1	1	yes	characteristic
1322	#103	C₂²×D₅	1	1	yes	characteristic
1323	#103	C₂²×D₅	1	1	yes	characteristic
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	C₂²×D₅	1	1	yes	characteristic
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	#102	C₂²×D₅	1	1	yes	characteristic
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1347	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1348	#97	—	5	1	no	—
1349	#97	—	5	1	no	—
1350	C₄×C₈	—	5	1	no	—
1351	C₄×C₈	—	5	1	no	—
1352	C₄×C₈	—	5	1	no	—
1353	C₄×C₈	—	5	1	no	—
1354	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1355	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	4	1	no	—
1360	C₂²×C₅	—	4	1	no	—
1361	C₂²×C₅	—	4	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	—	4	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	—	4	1	no	—
1366	C₂²×C₅	—	4	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	16	2	no	—
1369	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1370	C₂×D₅	—	2	1	no	—
1371	C₂×D₅	—	2	1	no	—
1372	C₂×D₅	—	2	1	no	—
1373	C₂×D₅	—	2	1	no	—
1374	C₂×D₅	—	2	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	4	1	no	—
1377	C₂×D₅	—	4	1	no	—
1378	C₂×D₅	—	4	1	no	—
1379	C₂×D₅	—	4	1	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	4	1	no	—
1383	C₂×D₅	—	4	1	no	—
1384	C₂×D₅	—	16	2	no	—
1385	C₂×D₅	—	16	2	no	—
1386	C₂×D₅	—	16	2	no	—
1387	C₂×D₅	#535	1	2	yes	—
1388	C₄×C₅	—	2	1	no	—
1389	C₄×C₅	—	2	1	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	2	1	no	—
1392	C₄×C₅	—	2	1	no	—
1393	C₄×C₅	—	4	1	no	—
1394	C₄×C₅	—	4	1	no	—
1395	C₄×C₅	—	4	1	no	—
1396	C₄×C₅	—	4	1	no	—
1397	C₄×C₅	—	4	1	no	—
1398	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1399	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1400	Dic₅	—	2	1	no	—
1401	Dic₅	—	2	1	no	—
1402	Dic₅	—	2	1	no	—
1403	Dic₅	—	2	1	no	—
1404	Dic₅	—	2	1	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	—	4	1	no	—
1408	Dic₅	—	4	1	no	—
1409	Dic₅	—	4	1	no	—
1410	Dic₅	#535	1	2	yes	—
1411	C₂⁴	—	2	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	C₂⁴	—	10	1	no	—
1415	#41	—	10	2	no	—
1416	#41	—	10	2	no	—
1417	#41	—	10	2	no	—
1418	#41	—	10	2	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	20	1	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	1	no	—
1424	#41	—	20	1	no	—
1425	#41	—	20	4	no	—
1426	#41	—	20	4	no	—
1427	#41	—	20	1	no	—
1428	#41	—	20	1	no	—
1429	#41	—	20	1	no	—
1430	#41	—	20	1	no	—
1431	#41	—	20	4	no	—
1432	#41	—	20	4	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	4	1	no	—
1435	C₂×Q₈	—	4	1	no	—
1436	C₂×Q₈	—	5	1	no	—
1437	C₂×Q₈	—	5	1	no	—
1438	C₂×Q₈	—	5	1	no	—
1439	C₂×Q₈	—	5	1	no	—
1440	C₂×Q₈	—	10	1	no	—
1441	C₂×Q₈	—	10	1	no	—
1442	C₂×Q₈	—	10	1	no	—
1443	C₂×Q₈	—	10	1	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	10	2	no	—
1446	C₂×Q₈	—	10	2	no	—
1447	C₂×Q₈	—	10	2	no	—
1448	C₂×Q₈	—	10	2	no	—
1449	C₂×Q₈	—	20	1	no	—
1450	C₂×Q₈	—	20	1	no	—
1451	C₂×Q₈	—	20	4	no	—
1452	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1453	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1454	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	4	1	no	—
1458	C₂×D₄	—	4	1	no	—
1459	C₂×D₄	—	5	1	no	—
1460	C₂×D₄	—	5	1	no	—
1461	C₂×D₄	—	5	1	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	5	1	no	—
1464	C₂×D₄	—	5	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	2	no	—
1469	C₂×D₄	—	10	2	no	—
1470	C₂×D₄	—	10	2	no	—
1471	C₂×D₄	—	10	2	no	—
1472	C₂×D₄	—	10	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	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	10	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	20	1	no	—
1488	C₂×D₄	—	20	1	no	—
1489	C₂×D₄	—	20	4	no	—
1490	C₂×D₄	—	20	4	no	—
1491	C₂×D₄	—	20	4	no	—
1492	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1494	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	5	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	5	1	no	—
1500	C₂²×C₄	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	5	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	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1516	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1518	Q₁₆	—	4	1	no	—
1519	Q₁₆	—	4	1	no	—
1520	Q₁₆	—	20	1	no	—
1521	Q₁₆	—	20	1	no	—
1522	Q₁₆	—	20	1	no	—
1523	Q₁₆	—	20	1	no	—
1524	Q₁₆	—	20	1	no	—
1525	Q₁₆	—	20	1	no	—
1526	SD₁₆	—	4	1	no	—
1527	SD₁₆	—	4	1	no	—
1528	SD₁₆	—	4	1	no	—
1529	SD₁₆	—	4	1	no	—
1530	SD₁₆	—	20	1	no	—
1531	SD₁₆	—	20	1	no	—
1532	SD₁₆	—	20	1	no	—
1533	SD₁₆	—	20	1	no	—
1534	SD₁₆	—	20	1	no	—
1535	SD₁₆	—	20	1	no	—
1536	SD₁₆	—	20	1	no	—
1537	SD₁₆	—	20	1	no	—
1538	SD₁₆	—	20	1	no	—
1539	SD₁₆	—	20	1	no	—
1540	SD₁₆	—	20	1	no	—
1541	SD₁₆	—	20	1	no	—
1542	D₈	—	4	1	no	—
1543	D₈	—	4	1	no	—
1544	D₈	—	20	1	no	—
1545	D₈	—	20	1	no	—
1546	D₈	—	20	1	no	—
1547	D₈	—	20	1	no	—
1548	D₈	—	20	1	no	—
1549	D₈	—	20	1	no	—
1550	M₁₆	—	10	2	no	—
1551	M₁₆	—	10	2	no	—
1552	C₂×C₈	—	5	1	no	—
1553	C₂×C₈	—	5	1	no	—
1554	C₂×C₈	—	5	1	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	10	2	no	—
1557	C₂×C₈	—	10	2	no	—
1558	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	5	1	no	—
1567	C₄⋊C₄	—	5	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	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	—	10	1	no	—
1590	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	1	no	—
1608	C₂²⋊C₄	—	5	1	no	—
1609	C₂²⋊C₄	—	5	1	no	—
1610	C₂²⋊C₄	—	5	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	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₄²	—	2	1	no	—
1641	C₄²	—	5	1	no	—
1642	C₄²	—	5	1	no	—
1643	C₄²	—	5	1	no	—
1644	C₄²	—	5	1	no	—
1645	C₄²	—	5	1	no	—
1646	C₄²	—	5	1	no	—
1647	C₄²	—	10	1	no	—
1648	C₄²	—	10	1	no	—
1649	C₄²	—	10	1	no	—
1650	C₄²	—	10	1	no	—
1651	C₄²	—	10	1	no	—
1652	C₄²	D₄×D₅	1	1	yes	characteristic
1653	C₄²	D₄×D₅	1	1	yes	characteristic
1654	C₄²	C₂³×D₅	1	1	yes	characteristic
1655	C₄²	C₂³×D₅	1	1	yes	characteristic
1656	C₂×C₅	—	4	1	no	—
1657	C₂×C₅	—	8	1	no	—
1658	C₂×C₅	—	8	1	no	—
1659	C₂×C₅	—	8	1	no	—
1660	C₂×C₅	C₂×#535	1	1	yes	characteristic
1661	C₂×C₅	#3584	1	1	yes	characteristic
1662	C₂×C₅	#3584	1	1	yes	characteristic
1663	D₅	—	2	2	no	—
1664	D₅	—	4	1	no	—
1665	D₅	—	8	1	no	—
1666	D₅	—	8	1	no	—
1667	D₅	—	8	1	no	—
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	4	2	no	—
1672	C₂³	—	5	1	no	—
1673	C₂³	—	5	1	no	—
1674	C₂³	—	8	1	no	—
1675	C₂³	—	8	1	no	—
1676	C₂³	—	10	1	no	—
1677	C₂³	—	10	1	no	—
1678	C₂³	—	10	1	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	20	2	no	—
1681	C₂³	—	20	2	no	—
1682	C₂³	—	40	1	no	—
1683	C₂³	—	40	1	no	—
1684	C₂³	—	40	1	no	—
1685	C₂³	—	40	1	no	—
1686	C₂³	—	40	1	no	—
1687	C₂³	—	40	1	no	—
1688	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	2	1	no	—
1695	Q₈	—	4	2	no	—
1696	Q₈	—	10	2	no	—
1697	Q₈	—	10	1	no	—
1698	Q₈	—	10	1	no	—
1699	Q₈	—	10	1	no	—
1700	Q₈	—	10	1	no	—
1701	Q₈	—	10	1	no	—
1702	Q₈	—	10	1	no	—
1703	Q₈	—	20	2	no	—
1704	Q₈	—	20	2	no	—
1705	Q₈	—	20	2	no	—
1706	Q₈	—	40	1	no	—
1707	Q₈	—	40	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	2	1	no	—
1713	D₄	—	2	1	no	—
1714	D₄	—	4	2	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	10	2	no	—
1717	D₄	—	10	2	no	—
1718	D₄	—	10	2	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	10	1	no	—
1721	D₄	—	10	1	no	—
1722	D₄	—	10	1	no	—
1723	D₄	—	10	1	no	—
1724	D₄	—	10	1	no	—
1725	D₄	—	20	2	no	—
1726	D₄	—	20	2	no	—
1727	D₄	—	20	2	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	20	2	no	—
1731	D₄	—	20	2	no	—
1732	D₄	—	20	2	no	—
1733	D₄	—	20	2	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	D₄	—	40	1	no	—
1737	D₄	—	40	1	no	—
1738	D₄	—	40	1	no	—
1739	D₄	—	40	1	no	—
1740	D₄	—	40	1	no	—
1741	D₄	—	40	1	no	—
1742	D₄	—	40	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	4	1	no	—
1751	C₂×C₄	—	4	1	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	5	2	no	—
1755	C₂×C₄	—	5	2	no	—
1756	C₂×C₄	—	5	1	no	—
1757	C₂×C₄	—	5	1	no	—
1758	C₂×C₄	—	5	1	no	—
1759	C₂×C₄	—	5	1	no	—
1760	C₂×C₄	—	5	1	no	—
1761	C₂×C₄	—	8	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	20	1	no	—
1770	C₂×C₄	—	20	1	no	—
1771	C₂×C₄	—	20	1	no	—
1772	C₂×C₄	—	20	1	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	20	2	no	—
1776	C₂×C₄	—	20	2	no	—
1777	C₂×C₄	—	20	2	no	—
1778	C₂×C₄	—	20	2	no	—
1779	C₂×C₄	—	20	2	no	—
1780	C₂×C₄	—	20	2	no	—
1781	C₂×C₄	—	20	2	no	—
1782	C₂×C₄	—	40	1	no	—
1783	C₂×C₄	—	40	1	no	—
1784	C₂×C₄	—	40	1	no	—
1785	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1786	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	10	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₅	#60819	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	5	2	no	—
1813	C₂²	—	10	1	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	10	1	no	—
1816	C₂²	—	10	1	no	—
1817	C₂²	—	10	1	no	—
1818	C₂²	—	16	2	no	—
1819	C₂²	—	20	1	no	—
1820	C₂²	—	20	1	no	—
1821	C₂²	—	20	1	no	—
1822	C₂²	—	20	1	no	—
1823	C₂²	—	20	1	no	—
1824	C₂²	—	20	1	no	—
1825	C₂²	—	20	1	no	—
1826	C₂²	—	20	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	80	2	no	—
1829	C₂²	—	80	2	no	—
1830	C₂²	—	80	2	no	—
1831	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	5	2	no	—
1843	C₄	—	10	1	no	—
1844	C₄	—	10	1	no	—
1845	C₄	—	10	1	no	—
1846	C₄	—	10	1	no	—
1847	C₄	—	10	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	—	20	1	no	—
1851	C₄	—	20	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1854	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1855	C₂	—	4	1	no	—
1856	C₂	—	8	1	no	—
1857	C₂	—	8	1	no	—
1858	C₂	—	8	1	no	—
1859	C₂	—	10	2	no	—
1860	C₂	—	20	1	no	—
1861	C₂	—	40	1	no	—
1862	C₂	—	40	1	no	—
1863	C₂	—	40	1	no	—
1864	C₂	D₅×#535	1	1	yes	characteristic
1865	C₂	#10619088	1	1	yes	characteristic
1866	C₂	#10619100	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×#3211	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3211	D₅
hypocenter	C₅	#60819
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3211

Complements

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

N	H ≅ G/N	type
1. #10618060	C₂	semidirect
2. #10617977	C₂	semidirect
3. C₅×#3211	C₂	semidirect
4. #10614876	C₂	semidirect
5. #10614677	C₂	semidirect
6. #10613557	C₂	semidirect
7. #10613556	C₂	semidirect
8. #10613552	C₂	semidirect
9. D₅×#495	C₂	semidirect
10. #10613374	C₂	semidirect
11. #10613373	C₂	semidirect
12. #10613371	C₂	semidirect
13. #10613368	C₂	semidirect
14. #10612342	C₂	semidirect
15. #10612341	C₂	semidirect
16. #10612332	C₂	semidirect
17. #10612331	C₂	semidirect
18. #10612278	C₂	semidirect
19. #10612277	C₂	semidirect
20. #10612268	C₂	semidirect
21. #10612267	C₂	semidirect
22. #10611934	C₂	semidirect
23. #10611916	C₂	semidirect
24. #10611879	C₂	semidirect
25. #10611874	C₂	semidirect
26. #10611790	C₂	semidirect
27. #10611772	C₂	semidirect
28. #10611735	C₂	semidirect
29. #10611730	C₂	semidirect
30. #10611039	C₂	semidirect
31. #10611014	C₂	semidirect
34. C₅×#529	C₂²	semidirect
35. C₂×C₅×#124	C₂²	semidirect
36. #66150	C₂²	semidirect
37. #66139	C₂²	semidirect
38. C₂×#4064	C₂²	semidirect
39. C₂×D₅×Q₁₆	C₂²	semidirect
41. C₂×#4060	C₂²	semidirect
43. C₂×D₅×SD₁₆	C₂²	semidirect
48. #66025	C₂²	semidirect
49. #66022	C₂²	semidirect
50. #66014	C₂²	semidirect
56. #66009	C₂²	semidirect
58. #66008	C₂²	semidirect
60. D₅×#124	C₂²	semidirect
61. D₅×#124	C₂²	semidirect
63. #66002	C₂²	semidirect
66. #65977	C₂²	semidirect
69. #65937	C₂²	semidirect
70. #65916	C₂²	semidirect
71. #65906	C₂²	semidirect
72. #65895	C₂²	semidirect
75. #65879	C₂²	semidirect
82. #65813	C₂²	semidirect
83. #65811	C₂²	semidirect
85. C₅×#495	C₂²	semidirect
86. C₅×#495	C₂²	semidirect
87. C₅×#488	C₂²	semidirect
88. C₅×#488	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#464	C₂²	semidirect
91. C₅×#463	C₂²	semidirect
92. C₅×#463	C₂²	semidirect
93. C₅×#451	C₂²	semidirect
94. C₅×#450	C₂²	semidirect
95. C₅×#448	C₂²	semidirect
97. C₅×#431	C₂²	semidirect
98. #65517	C₂²	semidirect
99. #65516	C₂²	semidirect
100. #65507	C₂²	semidirect
102. #65480	C₂²	semidirect
103. #65479	C₂²	semidirect
104. #65476	C₂²	semidirect
105. #65475	C₂²	semidirect
106. #65474	C₂²	semidirect
107. #65471	C₂²	semidirect
108. #65465	C₂²	semidirect
109. #65462	C₂²	semidirect
110. #65461	C₂²	semidirect
111. #65459	C₂²	semidirect
112. #65458	C₂²	semidirect
113. #65457	C₂²	semidirect
114. #65457	C₂²	semidirect
115. #65456	C₂²	semidirect
116. #65455	C₂²	semidirect
117. #65454	C₂²	semidirect
118. #65452	C₂²	semidirect
119. #65451	C₂²	semidirect
122. #65444	C₂²	semidirect
123. #65443	C₂²	semidirect
124. #65442	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65357	C₂²	semidirect
127. #65357	C₂²	semidirect
128. #65348	C₂²	semidirect
129. #65348	C₂²	semidirect
130. #65348	C₂²	semidirect
131. #65348	C₂²	semidirect
132. #65346	C₂²	semidirect
133. #65346	C₂²	semidirect
134. #65345	C₂²	semidirect
135. #65345	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65336	C₂²	semidirect
139. #65336	C₂²	semidirect
141. #65326	C₂²	semidirect
142. #65320	C₂²	semidirect
143. #65316	C₂²	semidirect
144. #65308	C₂²	semidirect
145. #65304	C₂²	semidirect
146. #65214	C₂²	semidirect
147. #65138	C₂²	semidirect
148. #65137	C₂²	semidirect
149. #65132	C₂²	semidirect
150. #65130	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65129	C₂²	semidirect
153. #65128	C₂²	semidirect
154. #65128	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65107	C₂²	semidirect
157. #65100	C₂²	semidirect
158. #65099	C₂²	semidirect
159. #65097	C₂²	semidirect
160. #65095	C₂²	semidirect
161. #65093	C₂²	semidirect
162. #65093	C₂²	semidirect
163. #65091	C₂²	semidirect
164. #65091	C₂²	semidirect
165. #65087	C₂²	semidirect
166. #65084	C₂²	semidirect
167. #65084	C₂²	semidirect
168. #65082	C₂²	semidirect
169. #65081	C₂²	semidirect
170. #65081	C₂²	semidirect
171. #65076	C₂²	semidirect
172. #65075	C₂²	semidirect
173. #65072	C₂²	semidirect
175. #65065	C₂²	semidirect
181. #65056	C₂²	semidirect
182. #65054	C₂²	semidirect
183. #65054	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65049	C₂²	semidirect
186. #65049	C₂²	semidirect
188. #65023	C₂²	semidirect
189. #65022	C₂²	semidirect
190. #65022	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #64986	C₂²	semidirect
196. #64986	C₂²	semidirect
197. #64985	C₂²	semidirect
198. #64985	C₂²	semidirect
199. C₄×#676	C₂²	semidirect
200. #64974	C₂²	semidirect
201. #64974	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
508. #3211	D₅	semidirect
812. #529	C₂×D₅	semidirect
816. C₂×#124	C₂×D₅	semidirect
834. #495	C₂×D₅	semidirect
835. #495	C₂×D₅	semidirect
846. #488	C₂×D₅	semidirect
847. #488	C₂×D₅	semidirect
858. #464	C₂×D₅	semidirect
859. #464	C₂×D₅	semidirect
866. #463	C₂×D₅	semidirect
867. #463	C₂×D₅	semidirect
895. #451	C₂×D₅	semidirect
899. #450	C₂×D₅	semidirect
911. #448	C₂×D₅	semidirect
923. #431	C₂×D₅	semidirect
1799. C₅	#60819	semidirect

Maximal subgroups

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

subgroup	index
#10618060	2
#10617977	2
C₅×#3211	2
#10614876	2
#10614677	2
#10613557	2
#10613556	2
#10613552	2
D₅×#495	2
#10613374	2
#10613373	2
#10613371	2
#10613368	2
#10612342	2
#10612341	2
#10612332	2
#10612331	2
#10612278	2
#10612277	2
#10612268	2
#10612267	2
#10611934	2
#10611916	2
#10611879	2
#10611874	2
#10611790	2
#10611772	2
#10611735	2
#10611730	2
#10611039	2
#10611014	2
#60819	5