Subgroups — #12985411

Order 1280.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618462	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617782	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3121	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615195	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614283	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613281	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613253	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613136	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613109	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612852	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612850	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612755	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612753	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612362	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612361	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612358	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612345	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611917	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#451	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611773	C₂	1	1	yes	maximal, characteristic, complemented
21	D₅×#448	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611574	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611570	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611529	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611526	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611466	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611463	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611409	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611405	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611124	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611108	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4147	C₂²	1	1	yes	characteristic, complemented
33	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
34	C₅×#542	C₂²	1	1	yes	characteristic
35	C₅×#519	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
43	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
44	#66064	C₂²	1	1	yes	characteristic
45	#66060	C₂²	1	1	yes	characteristic
46	#66041	—	2	1	no	—
47	#66038	—	2	1	no	—
48	#66018	—	2	1	no	—
49	#66011	C₂²	1	1	yes	characteristic
50	#66010	—	2	1	no	—
51	#66010	C₂²	1	1	yes	characteristic
52	#66001	—	2	1	no	—
53	#65988	—	2	1	no	—
54	#65968	—	2	1	no	—
55	#65963	—	2	1	no	—
56	#65963	C₂²	1	1	yes	characteristic
57	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	#65942	C₂²	1	1	yes	characteristic
59	D₅×#121	C₂²	1	1	yes	characteristic
60	#65913	C₂²	1	1	yes	characteristic
61	#65910	—	2	1	no	—
62	#65910	—	2	1	no	—
63	#65910	C₂²	1	1	yes	characteristic
64	#65910	C₂²	1	1	yes	characteristic
65	#65910	C₂²	1	1	yes	characteristic
66	#65910	C₂²	1	1	yes	characteristic, complemented
67	#65910	C₂²	1	1	yes	characteristic, complemented
68	Q₈×D₂₀	—	2	1	no	—
69	Q₈×D₂₀	—	2	1	no	—
70	Q₈×D₂₀	C₂²	1	1	yes	characteristic
71	Q₈×D₂₀	C₂²	1	1	yes	characteristic
72	Q₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
73	Q₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
74	#65888	C₂²	1	1	yes	characteristic
75	#65885	C₂²	1	1	yes	characteristic
76	#65868	C₂²	1	1	yes	characteristic
77	#65860	—	2	1	no	—
78	#65860	—	2	1	no	—
79	#65860	C₂²	1	1	yes	characteristic, complemented
80	#65860	C₂²	1	1	yes	characteristic, complemented
81	#65858	—	2	1	no	—
82	#65858	—	2	1	no	—
83	#65858	C₂²	1	1	yes	characteristic
84	#65858	C₂²	1	1	yes	characteristic
85	C₅×#485	C₂²	1	1	yes	characteristic, complemented
86	C₅×#482	C₂²	1	1	yes	characteristic
87	C₅×#477	C₂²	1	1	yes	characteristic, complemented
88	C₅×#475	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×#451	C₂²	1	1	yes	characteristic, complemented
92	C₅×#448	C₂²	1	1	yes	characteristic
93	C₅×#441	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65517	C₂²	1	1	yes	characteristic, complemented
99	#65516	C₂²	1	1	yes	characteristic
100	#65476	C₂²	1	1	yes	characteristic, complemented
101	#65475	C₂²	1	1	yes	characteristic
102	#65475	C₂²	1	1	yes	characteristic
103	#65475	C₂²	1	1	yes	characteristic, complemented
104	#65461	C₂²	1	1	yes	characteristic, complemented
105	#65459	C₂²	1	1	yes	characteristic
106	#65459	C₂²	1	1	yes	characteristic
107	#65459	C₂²	1	1	yes	characteristic, complemented
108	#65382	C₂²	1	1	yes	characteristic, complemented
109	#65378	C₂²	1	1	yes	characteristic, complemented
110	#65349	C₂²	1	1	yes	characteristic, complemented
111	#65348	C₂²	1	1	yes	characteristic, complemented
112	#65339	C₂²	1	1	yes	characteristic, complemented
113	#65336	C₂²	1	1	yes	characteristic, complemented
114	#65329	C₂²	1	1	yes	characteristic
115	#65326	C₂²	1	1	yes	characteristic
116	#65320	C₂²	1	1	yes	characteristic, complemented
117	#65319	C₂²	1	1	yes	characteristic, complemented
118	C₄×#689	C₂²	1	1	yes	characteristic, complemented
119	#65317	C₂²	1	1	yes	characteristic, complemented
120	#65317	C₂²	1	1	yes	characteristic, complemented
121	#65317	C₂²	1	1	yes	characteristic, complemented
122	#65315	C₂²	1	1	yes	characteristic, complemented
123	C₄×#688	C₂²	1	1	yes	characteristic, complemented
124	#65310	C₂²	1	1	yes	characteristic, complemented
125	#65309	C₂²	1	1	yes	characteristic, complemented
126	#65308	C₂²	1	1	yes	characteristic, complemented
127	#65305	C₂²	1	1	yes	characteristic, complemented
128	#65292	C₂²	1	1	yes	characteristic
129	#65289	C₂²	1	1	yes	characteristic, complemented
130	#65285	C₂²	1	1	yes	characteristic, complemented
131	#65176	C₂²	1	1	yes	characteristic
132	#65176	C₂²	1	1	yes	characteristic, complemented
133	#65175	C₂²	1	1	yes	characteristic, complemented
134	#65173	C₂²	1	1	yes	characteristic
135	#65173	C₂²	1	1	yes	characteristic, complemented
136	#65173	C₂²	1	1	yes	characteristic, complemented
137	#65172	C₂²	1	1	yes	characteristic
138	#65171	C₂²	1	1	yes	characteristic, complemented
139	#65157	C₂²	1	1	yes	characteristic, complemented
140	#65153	C₂²	1	1	yes	characteristic
141	#65153	C₂²	1	1	yes	characteristic
142	#65153	C₂²	1	1	yes	characteristic, complemented
143	#65152	C₂²	1	1	yes	characteristic
144	#65151	C₂²	1	1	yes	characteristic, complemented
145	#65151	C₂²	1	1	yes	characteristic, complemented
146	#65151	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65130	C₂²	1	1	yes	characteristic, complemented
151	#65125	C₂²	1	1	yes	characteristic
152	#65125	C₂²	1	1	yes	characteristic, complemented
153	#65123	C₂²	1	1	yes	characteristic
154	#65123	C₂²	1	1	yes	characteristic, complemented
155	#65105	C₂²	1	1	yes	characteristic, complemented
156	#65102	C₂²	1	1	yes	characteristic
157	#65102	C₂²	1	1	yes	characteristic, complemented
158	#65100	C₂²	1	1	yes	characteristic, complemented
159	#65099	C₂²	1	1	yes	characteristic, complemented
160	#65099	C₂²	1	1	yes	characteristic, complemented
161	#65099	C₂²	1	1	yes	characteristic, complemented
162	#65097	C₂²	1	1	yes	characteristic
163	#65097	C₂²	1	1	yes	characteristic
164	#65097	C₂²	1	1	yes	characteristic, complemented
165	#65097	C₂²	1	1	yes	characteristic, complemented
166	#65096	C₂²	1	1	yes	characteristic
167	#65095	C₂²	1	1	yes	characteristic
168	#65095	C₂²	1	1	yes	characteristic
169	#65095	C₂²	1	1	yes	characteristic, complemented
170	#65095	C₂²	1	1	yes	characteristic, complemented
171	#65092	C₂²	1	1	yes	characteristic, complemented
172	#65092	C₂²	1	1	yes	characteristic, complemented
173	D₅×#103	C₂²	1	1	yes	characteristic
174	D₅×#103	C₂²	1	1	yes	characteristic
175	D₅×#103	C₂²	1	1	yes	characteristic, complemented
176	D₅×#103	C₂²	1	1	yes	characteristic, complemented
177	D₅×#103	C₂²	1	1	yes	characteristic, complemented
178	D₅×#103	C₂²	1	1	yes	characteristic, complemented
179	#65072	C₂²	1	1	yes	characteristic, complemented
180	#65072	C₂²	1	1	yes	characteristic, complemented
181	#65069	C₂²	1	1	yes	characteristic, complemented
182	#65067	C₂²	1	1	yes	characteristic
183	#65067	C₂²	1	1	yes	characteristic, complemented
184	#65065	C₂²	1	1	yes	characteristic
185	#65064	C₂²	1	1	yes	characteristic
186	#65062	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic
189	#65023	C₂²	1	1	yes	characteristic
190	#65022	C₂²	1	1	yes	characteristic, complemented
191	#65016	C₂²	1	1	yes	characteristic, complemented
192	#65016	C₂²	1	1	yes	characteristic, complemented
193	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
194	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
195	#65004	C₂²	1	1	yes	characteristic, complemented
196	#65003	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic
198	#64995	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₂₀	C₂²	1	1	yes	characteristic
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	#64970	C₂²	1	1	yes	characteristic, complemented
203	#61632	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	#4147	—	4	2	no	—
206	#4147	—	4	2	no	—
207	C₂×#713	—	2	1	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	—	2	1	no	—
213	C₂×Q₈×D₅	—	2	1	no	—
214	C₂×Q₈×D₅	—	2	1	no	—
215	C₂×Q₈×D₅	—	4	2	no	—
216	C₂×Q₈×D₅	—	4	2	no	—
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
224	C₂×#711	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	—	2	1	no	—
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×#709	—	2	1	no	—
228	C₂×#709	—	2	1	no	—
229	C₂×#709	—	2	1	no	—
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₀	—	2	1	no	—
235	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₅×#126	—	2	1	no	—
242	C₅×#124	—	2	1	no	—
243	C₅×#124	C₂³	1	1	yes	characteristic
244	C₅×#123	—	2	1	no	—
245	C₅×C₂²⋊Q₈	—	2	1	no	—
246	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×#121	C₂³	1	1	yes	characteristic
248	C₄×C₅×Q₈	—	2	1	no	—
249	C₄×C₅×Q₈	—	2	1	no	—
250	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
251	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
252	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
253	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
254	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₅×#117	—	2	1	no	—
257	C₅×#117	—	2	1	no	—
258	C₅×#117	C₂³	1	1	yes	characteristic
259	C₅×#117	C₂³	1	1	yes	characteristic
260	#4092	—	2	1	no	—
261	#4092	—	2	1	no	—
262	#4092	—	2	1	no	—
263	#4092	C₂³	1	1	yes	characteristic
264	#4092	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#689	C₂³	1	1	yes	characteristic
267	C₂×#689	C₂³	1	1	yes	characteristic
268	C₂×#689	C₂³	1	1	yes	characteristic
269	C₂×#689	C₂³	1	1	yes	characteristic
270	C₂×#688	C₂³	1	1	yes	characteristic
271	C₂×#688	C₂³	1	1	yes	characteristic
272	C₂×#688	C₂³	1	1	yes	characteristic
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4084	—	2	1	no	—
276	#4084	C₂³	1	1	yes	characteristic
277	#4084	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#687	C₂³	1	1	yes	characteristic
280	C₂×#687	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	#4076	—	2	1	no	—
283	#4076	C₂³	1	1	yes	characteristic
284	C₂×#685	—	2	1	no	—
285	#4070	—	2	1	no	—
286	#4070	C₂³	1	1	yes	characteristic
287	#4065	—	4	2	no	—
288	#4064	—	4	2	no	—
289	D₅×Q₁₆	—	4	2	no	—
290	D₅×Q₁₆	—	4	2	no	—
291	#4062	—	4	2	no	—
292	#4061	—	4	2	no	—
293	D₅×SD₁₆	—	4	2	no	—
294	D₅×SD₁₆	—	4	2	no	—
295	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
296	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×D₄₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×#677	C₂³	1	1	yes	characteristic
302	C₂×#677	C₂³	1	1	yes	characteristic
303	C₂×#676	C₂³	1	1	yes	characteristic
304	C₂×#676	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
311	#4044	—	2	1	no	—
312	#4043	—	2	1	no	—
313	#4043	—	2	1	no	—
314	#4043	—	2	1	no	—
315	#4043	—	2	1	no	—
316	#4043	—	2	1	no	—
317	#4043	—	2	1	no	—
318	#4043	—	2	1	no	—
319	#4043	—	2	1	no	—
320	#4043	—	2	1	no	—
321	#4043	—	2	1	no	—
322	#4043	—	2	1	no	—
323	#4043	—	2	1	no	—
324	#4043	—	2	1	no	—
325	#4043	—	2	1	no	—
326	#4043	—	2	1	no	—
327	#4043	D₄	1	1	yes	characteristic
328	#4043	D₄	1	1	yes	characteristic
329	#4043	C₂³	1	1	yes	characteristic
330	#4043	C₂³	1	1	yes	characteristic
331	#4043	C₂³	1	1	yes	characteristic
332	#4043	C₂³	1	1	yes	characteristic
333	#4043	C₂³	1	1	yes	characteristic
334	#4043	C₂³	1	1	yes	characteristic
335	#4043	C₂³	1	1	yes	characteristic
336	#4043	C₂³	1	1	yes	characteristic
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4042	—	2	1	no	—
342	#4041	—	2	1	no	—
343	#4041	—	2	1	no	—
344	#4041	—	2	1	no	—
345	#4041	—	2	1	no	—
346	#4041	—	2	1	no	—
347	#4041	—	2	1	no	—
348	#4041	D₄	1	1	yes	characteristic
349	#4041	D₄	1	1	yes	characteristic
350	#4041	C₂³	1	1	yes	characteristic
351	#4041	C₂³	1	1	yes	characteristic
352	#4041	C₂³	1	1	yes	characteristic
353	#4041	C₂³	1	1	yes	characteristic
354	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4039	—	2	1	no	—
357	D₅×C₄⋊C₄	—	2	1	no	—
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
362	#4036	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4032	—	2	1	no	—
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4032	—	2	1	no	—
369	#4032	D₄	1	1	yes	characteristic
370	#4032	D₄	1	1	yes	characteristic
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4028	—	2	1	no	—
384	#4028	—	2	1	no	—
385	#4028	—	2	1	no	—
386	#4028	D₄	1	1	yes	characteristic
387	#4028	D₄	1	1	yes	characteristic
388	#4027	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4021	—	2	1	no	—
396	#4021	—	2	1	no	—
397	#4021	—	2	1	no	—
398	#4021	—	2	1	no	—
399	#4021	—	2	1	no	—
400	#4021	—	2	1	no	—
401	#4021	C₂³	1	1	yes	characteristic
402	#4021	C₂³	1	1	yes	characteristic
403	#4021	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	—	2	1	no	—
405	C₄×D₂₀	—	2	1	no	—
406	C₄×D₂₀	—	2	1	no	—
407	C₄×D₂₀	—	2	1	no	—
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	—	2	1	no	—
412	C₄×D₂₀	—	2	1	no	—
413	C₄×D₂₀	—	2	1	no	—
414	C₄×D₂₀	—	2	1	no	—
415	C₄×D₂₀	—	2	1	no	—
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	C₄×D₂₀	C₂³	1	1	yes	characteristic
418	C₄×D₂₀	C₂³	1	1	yes	characteristic
419	C₄×D₂₀	C₂³	1	1	yes	characteristic
420	C₄×D₂₀	C₂³	1	1	yes	characteristic
421	#4016	—	2	1	no	—
422	#4015	—	2	1	no	—
423	#4015	—	2	1	no	—
424	#4015	—	2	1	no	—
425	#4015	—	2	1	no	—
426	#4015	—	2	1	no	—
427	#4015	C₂³	1	1	yes	characteristic
428	#4015	C₂³	1	1	yes	characteristic
429	#4015	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₅×#107	C₂³	1	1	yes	characteristic
432	C₅×#107	C₂³	1	1	yes	characteristic
433	C₅×#106	C₂³	1	1	yes	characteristic
434	C₅×#106	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	C₂²⋊#168	C₂³	1	1	yes	characteristic
454	C₂²⋊#168	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3952	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3948	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	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3942	C₂³	1	1	yes	characteristic
478	#3942	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3941	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3940	C₂³	1	1	yes	characteristic
484	#3940	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	#3939	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	#3536	—	5	1	no	—
492	#3486	—	5	1	no	—
493	#3316	—	5	1	no	—
494	#3316	—	5	1	no	—
495	#3308	—	5	1	no	—
496	#3308	—	5	1	no	—
497	#3299	—	5	1	no	—
498	#3299	—	5	1	no	—
499	#3298	—	5	1	no	—
500	#3298	—	5	1	no	—
501	#3285	—	5	1	no	—
502	#3285	—	5	1	no	—
503	#3282	—	5	1	no	—
504	#3282	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3225	—	5	1	no	—
510	#3225	—	5	1	no	—
511	#3201	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3190	—	5	1	no	—
514	#3188	—	5	1	no	—
515	#3121	—	5	1	no	—
516	#3121	D₅	1	1	yes	characteristic, complemented
517	#3013	—	5	1	no	—
518	#3013	—	5	1	no	—
519	C₂×#451	—	5	1	no	—
520	C₂×#448	—	5	1	no	—
521	#2977	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
524	C₂×C₅×Q₈	—	2	2	no	—
525	C₂×C₅×Q₈	—	2	2	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	#713	—	2	2	no	—
548	#713	—	2	2	no	—
549	#713	—	4	1	no	—
550	#713	—	4	1	no	—
551	#713	—	4	1	no	—
552	#713	—	4	1	no	—
553	#713	—	4	4	no	—
554	#713	—	8	2	no	—
555	Q₈×D₅	—	2	2	no	—
556	Q₈×D₅	—	2	2	no	—
557	Q₈×D₅	—	2	2	no	—
558	Q₈×D₅	—	2	2	no	—
559	Q₈×D₅	—	2	2	no	—
560	Q₈×D₅	—	2	2	no	—
561	Q₈×D₅	—	4	1	no	—
562	Q₈×D₅	—	4	1	no	—
563	Q₈×D₅	—	4	1	no	—
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	1	no	—
566	Q₈×D₅	—	4	1	no	—
567	Q₈×D₅	—	4	1	no	—
568	Q₈×D₅	—	4	1	no	—
569	Q₈×D₅	—	4	4	no	—
570	Q₈×D₅	—	4	4	no	—
571	Q₈×D₅	—	4	4	no	—
572	#711	—	4	1	no	—
573	#711	—	4	1	no	—
574	D₄×D₅	—	4	1	no	—
575	D₄×D₅	—	4	1	no	—
576	D₄×D₅	—	8	2	no	—
577	#709	—	4	1	no	—
578	#709	—	4	1	no	—
579	#709	—	4	1	no	—
580	#709	—	4	1	no	—
581	#709	—	4	4	no	—
582	#709	—	4	4	no	—
583	#709	—	8	2	no	—
584	C₂×D₂₀	—	2	1	no	—
585	C₂×D₂₀	—	2	1	no	—
586	C₂×D₂₀	—	2	1	no	—
587	C₂×D₂₀	—	2	1	no	—
588	C₂×D₂₀	—	2	1	no	—
589	C₂×D₂₀	—	2	1	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
592	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
593	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
594	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
595	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
596	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
597	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₅	—	2	1	no	—
599	C₂×C₄×D₅	—	2	1	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	2	1	no	—
604	C₂×C₄×D₅	—	2	1	no	—
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	—	4	1	no	—
615	C₂×C₄×D₅	—	4	1	no	—
616	C₂×C₄×D₅	—	4	4	no	—
617	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	—	2	1	no	—
626	C₂×Dic₁₀	—	2	1	no	—
627	C₂×Dic₁₀	—	2	1	no	—
628	C₂×Dic₁₀	—	2	1	no	—
629	C₂×Dic₁₀	—	2	1	no	—
630	C₂×Dic₁₀	—	2	1	no	—
631	C₂×Dic₁₀	—	2	1	no	—
632	C₂×Dic₁₀	—	4	1	no	—
633	C₂×Dic₁₀	—	4	1	no	—
634	C₂×Dic₁₀	—	4	4	no	—
635	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
636	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
640	C₅×Q₁₆	—	2	2	no	—
641	C₅×Q₁₆	—	2	2	no	—
642	C₅×SD₁₆	—	2	2	no	—
643	C₅×SD₁₆	—	2	2	no	—
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₅	—	2	1	no	—
670	C₄²×C₅	—	2	1	no	—
671	C₄²×C₅	—	2	1	no	—
672	C₄²×C₅	—	2	1	no	—
673	C₄²×C₅	—	2	1	no	—
674	C₄²×C₅	—	2	1	no	—
675	C₄²×C₅	C₂⁴	1	1	yes	characteristic
676	C₄²×C₅	C₂⁴	1	1	yes	characteristic
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	#689	—	2	2	no	—
681	#689	—	2	2	no	—
682	#689	—	4	1	no	—
683	#689	—	4	1	no	—
684	#689	—	4	1	no	—
685	#688	—	2	2	no	—
686	#688	—	2	2	no	—
687	#688	—	4	1	no	—
688	#687	—	4	1	no	—
689	#687	—	4	1	no	—
690	#687	—	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	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	C₂×D₄	1	1	yes	characteristic
715	#685	C₂×D₄	1	1	yes	characteristic
716	#685	C₂×D₄	1	1	yes	characteristic
717	#685	C₂×D₄	1	1	yes	characteristic
718	#685	C₂×D₄	1	1	yes	characteristic
719	#685	C₂×D₄	1	1	yes	characteristic
720	#685	C₂×D₄	1	1	yes	characteristic
721	#685	C₂×D₄	1	1	yes	characteristic
722	C₄⋊Dic₅	—	2	1	no	—
723	C₄⋊Dic₅	—	2	1	no	—
724	C₄⋊Dic₅	—	2	1	no	—
725	C₄⋊Dic₅	—	2	1	no	—
726	C₄⋊Dic₅	—	2	1	no	—
727	C₄⋊Dic₅	—	2	1	no	—
728	C₄⋊Dic₅	—	2	1	no	—
729	C₄⋊Dic₅	—	2	1	no	—
730	C₄⋊Dic₅	—	2	1	no	—
731	C₄⋊Dic₅	—	2	1	no	—
732	C₄⋊Dic₅	—	2	1	no	—
733	C₄⋊Dic₅	—	2	1	no	—
734	C₄⋊Dic₅	—	2	1	no	—
735	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
736	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
739	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
740	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₂×#168	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	Dic₂₀	—	4	1	no	—
755	Dic₂₀	—	4	1	no	—
756	Dic₂₀	—	4	1	no	—
757	D₄₀	—	4	1	no	—
758	#677	—	4	1	no	—
759	#677	—	4	1	no	—
760	#677	—	4	1	no	—
761	#677	—	4	1	no	—
762	#676	—	4	1	no	—
763	#676	—	4	1	no	—
764	C₈×D₅	—	4	1	no	—
765	C₈×D₅	—	4	1	no	—
766	C₈×D₅	—	4	1	no	—
767	C₈×D₅	—	4	1	no	—
768	C₈×D₅	—	4	1	no	—
769	C₈×D₅	—	4	1	no	—
770	C₂×2₋¹⁺⁴	—	5	1	no	—
771	C₂³×Q₈	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×#135	—	5	1	no	—
775	C₂×#135	—	5	1	no	—
776	C₂²×Q₁₆	—	5	1	no	—
777	C₂²×Q₁₆	—	5	1	no	—
778	C₂²×SD₁₆	—	5	1	no	—
779	C₂²×SD₁₆	—	5	1	no	—
780	#562	—	10	1	no	—
781	#562	—	10	1	no	—
782	#554	—	5	1	no	—
783	#554	—	5	1	no	—
784	D₄×Q₈	—	5	1	no	—
785	D₄×Q₈	—	5	1	no	—
786	D₄×Q₈	—	5	1	no	—
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	—	10	1	no	—
789	D₄×Q₈	—	10	1	no	—
790	#548	—	5	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#548	—	5	1	no	—
794	#548	—	5	1	no	—
795	#548	—	5	1	no	—
796	#548	—	10	1	no	—
797	#548	—	10	1	no	—
798	#547	—	5	1	no	—
799	#547	—	5	1	no	—
800	#546	—	5	1	no	—
801	#546	—	5	1	no	—
802	#546	—	10	1	no	—
803	#546	—	10	1	no	—
804	#543	—	10	1	no	—
805	#542	—	5	1	no	—
806	#542	C₂×D₅	1	1	yes	characteristic
807	#539	—	10	1	no	—
808	#538	—	10	1	no	—
809	#537	—	5	1	no	—
810	#537	—	5	1	no	—
811	#537	—	10	1	no	—
812	#536	—	5	1	no	—
813	#536	—	5	1	no	—
814	#536	—	10	1	no	—
815	#536	—	10	1	no	—
816	#525	—	5	1	no	—
817	#525	—	5	1	no	—
818	#525	—	10	1	no	—
819	#525	—	10	1	no	—
820	C₂×C₂²⋊Q₈	—	5	1	no	—
821	C₂×#121	—	5	1	no	—
822	#519	C₂×D₅	1	1	yes	characteristic, complemented
823	#497	—	5	1	no	—
824	#497	—	5	1	no	—
825	#495	—	5	1	no	—
826	#495	—	5	1	no	—
827	#489	—	5	1	no	—
828	#489	—	5	1	no	—
829	#487	—	5	1	no	—
830	#487	—	5	1	no	—
831	#485	—	5	1	no	—
832	#485	C₂×D₅	1	1	yes	characteristic, complemented
833	#484	—	5	1	no	—
834	#484	—	5	1	no	—
835	#484	—	5	1	no	—
836	#483	—	5	1	no	—
837	#483	—	5	1	no	—
838	#483	—	5	1	no	—
839	#482	—	5	1	no	—
840	#482	C₂×D₅	1	1	yes	characteristic
841	#481	—	5	1	no	—
842	#480	—	5	1	no	—
843	#477	—	5	1	no	—
844	#477	C₂×D₅	1	1	yes	characteristic, complemented
845	#475	—	5	1	no	—
846	#475	C₂×D₅	1	1	yes	characteristic, complemented
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#467	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#466	—	5	1	no	—
856	#466	—	5	1	no	—
857	#465	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#465	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#464	—	5	1	no	—
864	#464	—	5	1	no	—
865	#464	—	5	1	no	—
866	#464	—	5	1	no	—
867	#464	C₂×D₅	1	1	yes	characteristic, complemented
868	#464	C₂×D₅	1	1	yes	characteristic, complemented
869	#463	—	5	1	no	—
870	#463	—	5	1	no	—
871	#462	—	5	1	no	—
872	#462	—	5	1	no	—
873	#461	—	5	1	no	—
874	#461	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#451	—	5	1	no	—
884	#451	—	5	1	no	—
885	#451	—	5	1	no	—
886	#451	—	5	1	no	—
887	#451	—	5	1	no	—
888	#451	—	5	1	no	—
889	#451	—	5	1	no	—
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
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	#448	—	5	1	no	—
900	#448	—	5	1	no	—
901	#448	—	5	1	no	—
902	#448	—	5	1	no	—
903	#448	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#448	C₂×D₅	1	1	yes	characteristic
910	#447	—	5	1	no	—
911	#441	—	5	1	no	—
912	#441	C₂×D₅	1	1	yes	characteristic, complemented
913	#440	—	5	1	no	—
914	#440	C₂×D₅	1	1	yes	characteristic, complemented
915	C₄×Q₁₆	—	5	1	no	—
916	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
917	C₄×SD₁₆	—	5	1	no	—
918	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	#435	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	C₈×D₄	—	5	1	no	—
925	C₈×D₄	—	5	1	no	—
926	C₈×D₄	—	5	1	no	—
927	#433	—	5	1	no	—
928	#433	C₂×D₅	1	1	yes	characteristic, complemented
929	#417	—	5	1	no	—
930	#417	—	5	1	no	—
931	C₂×#103	—	5	1	no	—
932	C₂×#103	—	5	1	no	—
933	C₂×#103	—	5	1	no	—
934	C₂×#103	—	5	1	no	—
935	C₂×#103	—	5	1	no	—
936	C₂×#103	—	5	1	no	—
937	#408	—	5	1	no	—
938	#408	—	5	1	no	—
939	C₂×C₂²⋊C₈	—	5	1	no	—
940	C₂×C₂²⋊C₈	—	5	1	no	—
941	C₂³×C₅	—	2	1	no	—
942	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂²×D₅	—	2	2	no	—
944	C₂²×D₅	—	2	2	no	—
945	C₂²×D₅	—	2	1	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	4	1	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	8	1	no	—
950	C₂²×D₅	—	8	1	no	—
951	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
952	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
953	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
954	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
955	C₅×Q₈	—	2	4	no	—
956	C₅×Q₈	—	2	1	no	—
957	C₅×Q₈	—	2	1	no	—
958	C₅×Q₈	—	2	1	no	—
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	8	1	no	—
961	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
962	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
963	C₅×D₄	—	2	1	no	—
964	C₅×D₄	—	2	1	no	—
965	C₅×D₄	—	8	1	no	—
966	C₂×C₄×C₅	—	2	4	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	8	1	no	—
977	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
983	C₂²⋊D₅	—	4	1	no	—
984	C₂²⋊D₅	—	4	1	no	—
985	C₂²⋊D₅	—	4	2	no	—
986	C₂²⋊D₅	—	4	2	no	—
987	C₂²⋊D₅	—	8	1	no	—
988	C₂²⋊D₅	—	8	1	no	—
989	C₂²⋊D₅	—	8	1	no	—
990	C₂²⋊D₅	—	8	1	no	—
991	C₂×Dic₅	—	2	1	no	—
992	C₂×Dic₅	—	2	1	no	—
993	C₂×Dic₅	—	2	1	no	—
994	C₂×Dic₅	—	2	1	no	—
995	C₂×Dic₅	—	2	1	no	—
996	C₂×Dic₅	—	2	1	no	—
997	C₂×Dic₅	—	4	1	no	—
998	C₂×Dic₅	—	4	2	no	—
999	C₂×Dic₅	—	8	1	no	—
1000	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1003	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1004	D₂₀	—	2	2	no	—
1005	D₂₀	—	2	2	no	—
1006	D₂₀	—	2	2	no	—
1007	D₂₀	—	2	2	no	—
1008	D₂₀	—	2	1	no	—
1009	D₂₀	—	2	1	no	—
1010	D₂₀	—	2	1	no	—
1011	D₂₀	—	2	1	no	—
1012	D₂₀	—	4	1	no	—
1013	D₂₀	—	4	2	no	—
1014	D₂₀	—	4	2	no	—
1015	D₂₀	—	4	2	no	—
1016	D₂₀	—	4	2	no	—
1017	D₂₀	—	4	2	no	—
1018	D₂₀	—	8	1	no	—
1019	D₂₀	—	8	1	no	—
1020	C₄×D₅	—	2	1	no	—
1021	C₄×D₅	—	2	1	no	—
1022	C₄×D₅	—	2	1	no	—
1023	C₄×D₅	—	2	1	no	—
1024	C₄×D₅	—	2	1	no	—
1025	C₄×D₅	—	2	1	no	—
1026	C₄×D₅	—	2	1	no	—
1027	C₄×D₅	—	2	1	no	—
1028	C₄×D₅	—	4	1	no	—
1029	C₄×D₅	—	4	1	no	—
1030	C₄×D₅	—	4	2	no	—
1031	C₄×D₅	—	4	2	no	—
1032	C₄×D₅	—	4	2	no	—
1033	C₄×D₅	—	4	2	no	—
1034	C₄×D₅	—	4	2	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	4	2	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	C₄×D₅	—	8	1	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	—	8	1	no	—
1045	C₄×D₅	—	8	1	no	—
1046	Dic₁₀	—	2	1	no	—
1047	Dic₁₀	—	2	1	no	—
1048	Dic₁₀	—	2	1	no	—
1049	Dic₁₀	—	2	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	4	1	no	—
1055	Dic₁₀	—	4	2	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	4	2	no	—
1060	Dic₁₀	—	4	2	no	—
1061	Dic₁₀	—	4	2	no	—
1062	Dic₁₀	—	8	1	no	—
1063	Dic₁₀	—	8	1	no	—
1064	C₅×C₈	—	2	1	no	—
1065	C₅×C₈	—	2	1	no	—
1066	C₅×C₈	—	2	1	no	—
1067	C₅×C₈	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	#168	—	2	1	no	—
1071	#168	—	2	1	no	—
1072	2₋¹⁺⁴	—	20	2	no	—
1073	2₋¹⁺⁴	—	20	2	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	C₂×#41	—	10	1	no	—
1085	C₂²×Q₈	—	5	1	no	—
1086	C₂²×Q₈	—	5	1	no	—
1087	C₂²×Q₈	—	5	1	no	—
1088	C₂²×Q₈	—	5	1	no	—
1089	C₂²×Q₈	—	5	1	no	—
1090	C₂²×Q₈	—	5	1	no	—
1091	C₂²×Q₈	—	5	1	no	—
1092	C₂²×Q₈	—	5	1	no	—
1093	C₂²×Q₈	—	10	1	no	—
1094	C₂²×Q₈	—	10	1	no	—
1095	C₂²×Q₈	—	10	1	no	—
1096	C₂²×Q₈	—	10	1	no	—
1097	C₂²×Q₈	—	20	2	no	—
1098	C₂²×Q₈	—	20	2	no	—
1099	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²×D₄	—	5	1	no	—
1101	C₂²×D₄	—	10	1	no	—
1102	C₂³×C₄	—	5	1	no	—
1103	C₂³×C₄	—	10	1	no	—
1104	#137	—	20	2	no	—
1105	#137	—	20	2	no	—
1106	#135	—	20	2	no	—
1107	#135	—	20	2	no	—
1108	C₂×Q₁₆	—	5	1	no	—
1109	C₂×Q₁₆	—	5	1	no	—
1110	C₂×Q₁₆	—	5	1	no	—
1111	C₂×Q₁₆	—	5	1	no	—
1112	C₂×Q₁₆	—	5	1	no	—
1113	C₂×Q₁₆	—	5	1	no	—
1114	C₂×Q₁₆	—	5	1	no	—
1115	C₂×Q₁₆	—	5	1	no	—
1116	C₂×Q₁₆	—	20	2	no	—
1117	C₂×Q₁₆	—	20	2	no	—
1118	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1119	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1120	C₂×SD₁₆	—	5	1	no	—
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	—	20	2	no	—
1131	C₂×SD₁₆	—	20	2	no	—
1132	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1133	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1134	C₂×D₈	—	5	1	no	—
1135	C₂×D₈	—	5	1	no	—
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	C₂²×C₈	—	5	1	no	—
1141	C₂²×C₈	—	5	1	no	—
1142	C₂²×C₈	—	5	1	no	—
1143	C₂²×C₈	—	5	1	no	—
1144	C₄⋊Q₈	—	5	1	no	—
1145	C₄⋊Q₈	—	5	1	no	—
1146	C₄⋊Q₈	—	5	1	no	—
1147	C₄⋊Q₈	—	10	1	no	—
1148	C₄⋊Q₈	—	10	1	no	—
1149	C₄⋊Q₈	—	10	1	no	—
1150	C₄⋊Q₈	—	10	1	no	—
1151	C₄⋊Q₈	—	10	1	no	—
1152	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1153	#126	—	2	1	no	—
1154	#126	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#124	—	2	1	no	—
1158	#124	—	5	1	no	—
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	—	10	1	no	—
1164	#124	—	10	1	no	—
1165	#124	—	10	1	no	—
1166	#124	—	10	1	no	—
1167	#124	—	10	1	no	—
1168	#124	—	10	1	no	—
1169	#124	C₂²×D₅	1	1	yes	characteristic
1170	#123	—	2	1	no	—
1171	#123	—	5	1	no	—
1172	#123	—	5	1	no	—
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	#123	—	10	1	no	—
1184	#123	—	10	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	5	1	no	—
1187	C₂²⋊Q₈	—	5	1	no	—
1188	C₂²⋊Q₈	—	5	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	10	1	no	—
1200	C₂²⋊Q₈	—	10	1	no	—
1201	C₂²⋊Q₈	—	10	1	no	—
1202	C₂²⋊Q₈	—	10	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	1	no	—
1206	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	—	10	1	no	—
1222	C₂²⋊Q₈	—	10	1	no	—
1223	C₂²⋊Q₈	—	10	1	no	—
1224	C₂²⋊Q₈	—	10	1	no	—
1225	C₂²⋊Q₈	—	10	1	no	—
1226	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	5	1	no	—
1233	#121	—	5	1	no	—
1234	#121	—	5	1	no	—
1235	#121	—	5	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	—	10	1	no	—
1252	#121	C₂²×D₅	1	1	yes	characteristic
1253	#120	—	5	1	no	—
1254	#120	—	5	1	no	—
1255	#120	—	10	1	no	—
1256	#120	—	10	1	no	—
1257	#120	—	10	1	no	—
1258	C₄×Q₈	—	2	1	no	—
1259	C₄×Q₈	—	2	1	no	—
1260	C₄×Q₈	—	5	1	no	—
1261	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1262	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1263	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1264	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1265	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	10	1	no	—
1272	C₄×D₄	—	10	1	no	—
1273	C₄×D₄	—	10	1	no	—
1274	C₄×D₄	—	10	1	no	—
1275	C₄×D₄	—	10	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1286	#117	—	2	1	no	—
1287	#117	—	2	1	no	—
1288	#117	C₂²×D₅	1	1	yes	characteristic
1289	#117	C₂²×D₅	1	1	yes	characteristic
1290	C₂×C₄⋊C₄	—	5	1	no	—
1291	C₂×C₄⋊C₄	—	5	1	no	—
1292	C₂×C₄⋊C₄	—	5	1	no	—
1293	C₂×C₄⋊C₄	—	5	1	no	—
1294	C₂×C₄⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	C₂×C₂²⋊C₄	—	10	1	no	—
1298	C₂×C₂²⋊C₄	—	10	1	no	—
1299	#107	—	5	1	no	—
1300	#107	—	5	1	no	—
1301	#107	C₂²×D₅	1	1	yes	characteristic
1302	#107	C₂²×D₅	1	1	yes	characteristic
1303	#106	—	5	1	no	—
1304	#106	—	5	1	no	—
1305	#106	C₂²×D₅	1	1	yes	characteristic
1306	#106	C₂²×D₅	1	1	yes	characteristic
1307	C₄⋊C₈	—	5	1	no	—
1308	C₄⋊C₈	—	5	1	no	—
1309	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1310	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	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	C₂²×D₅	1	1	yes	characteristic
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	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	5	1	no	—
1341	#102	C₂²×D₅	1	1	yes	characteristic
1342	#102	C₂²×D₅	1	1	yes	characteristic
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1354	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1355	#97	—	5	1	no	—
1356	#97	C₂²×D₅	1	1	yes	characteristic
1357	C₄×C₈	—	5	1	no	—
1358	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	2	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	—	4	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1366	C₂×D₅	—	2	1	no	—
1367	C₂×D₅	—	2	1	no	—
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
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	—	2	1	no	—
1376	C₂×D₅	—	4	4	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	—	16	2	no	—
1384	C₂×D₅	#577	1	2	yes	—
1385	C₂×D₅	#578	1	2	yes	—
1386	C₄×C₅	—	2	2	no	—
1387	C₄×C₅	—	2	2	no	—
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	—	4	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	C₂⁴	—	5	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	#41	—	10	2	no	—
1413	#41	—	10	2	no	—
1414	#41	—	20	1	no	—
1415	#41	—	20	1	no	—
1416	#41	—	20	1	no	—
1417	#41	—	20	1	no	—
1418	#41	—	20	4	no	—
1419	#41	—	20	4	no	—
1420	#41	—	20	1	no	—
1421	#41	—	20	1	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	1	no	—
1424	#41	—	20	1	no	—
1425	#41	—	20	1	no	—
1426	#41	—	20	4	no	—
1427	#41	—	40	2	no	—
1428	#41	—	40	2	no	—
1429	C₂×Q₈	—	2	2	no	—
1430	C₂×Q₈	—	2	2	no	—
1431	C₂×Q₈	—	2	1	no	—
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	5	1	no	—
1434	C₂×Q₈	—	5	1	no	—
1435	C₂×Q₈	—	5	1	no	—
1436	C₂×Q₈	—	5	1	no	—
1437	C₂×Q₈	—	5	1	no	—
1438	C₂×Q₈	—	10	1	no	—
1439	C₂×Q₈	—	10	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	1	no	—
1446	C₂×Q₈	—	10	1	no	—
1447	C₂×Q₈	—	10	2	no	—
1448	C₂×Q₈	—	10	2	no	—
1449	C₂×Q₈	—	10	2	no	—
1450	C₂×Q₈	—	10	2	no	—
1451	C₂×Q₈	—	10	2	no	—
1452	C₂×Q₈	—	10	2	no	—
1453	C₂×Q₈	—	20	1	no	—
1454	C₂×Q₈	—	20	1	no	—
1455	C₂×Q₈	—	20	4	no	—
1456	C₂×Q₈	—	20	1	no	—
1457	C₂×Q₈	—	20	1	no	—
1458	C₂×Q₈	—	20	1	no	—
1459	C₂×Q₈	—	20	1	no	—
1460	C₂×Q₈	—	20	1	no	—
1461	C₂×Q₈	—	20	1	no	—
1462	C₂×Q₈	—	20	1	no	—
1463	C₂×Q₈	—	20	1	no	—
1464	C₂×Q₈	—	20	4	no	—
1465	C₂×Q₈	—	20	4	no	—
1466	C₂×Q₈	—	20	4	no	—
1467	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1468	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1469	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	5	1	no	—
1472	C₂×D₄	—	5	1	no	—
1473	C₂×D₄	—	5	1	no	—
1474	C₂×D₄	—	5	1	no	—
1475	C₂×D₄	—	5	1	no	—
1476	C₂×D₄	—	5	1	no	—
1477	C₂×D₄	—	5	1	no	—
1478	C₂×D₄	—	5	1	no	—
1479	C₂×D₄	—	5	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	—	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	—	20	1	no	—
1494	C₂×D₄	—	20	1	no	—
1495	C₂×D₄	—	40	2	no	—
1496	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	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	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	5	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	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	10	1	no	—
1520	C₂²×C₄	—	10	1	no	—
1521	C₂²×C₄	—	10	1	no	—
1522	C₂²×C₄	—	10	1	no	—
1523	C₂²×C₄	—	10	1	no	—
1524	C₂²×C₄	—	20	1	no	—
1525	C₂²×C₄	—	20	1	no	—
1526	C₂²×C₄	—	20	4	no	—
1527	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1528	Q₁₆	—	2	2	no	—
1529	Q₁₆	—	2	2	no	—
1530	Q₁₆	—	10	2	no	—
1531	Q₁₆	—	10	2	no	—
1532	Q₁₆	—	20	1	no	—
1533	Q₁₆	—	20	1	no	—
1534	Q₁₆	—	20	1	no	—
1535	Q₁₆	—	20	1	no	—
1536	Q₁₆	—	20	1	no	—
1537	Q₁₆	—	20	1	no	—
1538	SD₁₆	—	2	2	no	—
1539	SD₁₆	—	2	2	no	—
1540	SD₁₆	—	10	2	no	—
1541	SD₁₆	—	10	2	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	SD₁₆	—	20	1	no	—
1546	SD₁₆	—	20	1	no	—
1547	SD₁₆	—	20	1	no	—
1548	SD₁₆	—	20	1	no	—
1549	SD₁₆	—	20	1	no	—
1550	D₈	—	20	1	no	—
1551	D₈	—	20	1	no	—
1552	M₁₆	—	20	1	no	—
1553	M₁₆	—	20	1	no	—
1554	C₂×C₈	—	5	1	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	5	1	no	—
1557	C₂×C₈	—	5	1	no	—
1558	C₂×C₈	—	20	1	no	—
1559	C₂×C₈	—	20	1	no	—
1560	C₂×C₈	—	20	1	no	—
1561	C₂×C₈	—	20	1	no	—
1562	C₂×C₈	—	20	1	no	—
1563	C₂×C₈	—	20	1	no	—
1564	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1565	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1566	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1567	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
1580	C₄⋊C₄	—	5	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	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	—	10	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1603	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1604	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1606	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1607	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	5	1	no	—
1616	C₂²⋊C₄	—	5	1	no	—
1617	C₂²⋊C₄	—	5	1	no	—
1618	C₂²⋊C₄	—	5	1	no	—
1619	C₂²⋊C₄	—	5	1	no	—
1620	C₂²⋊C₄	—	5	1	no	—
1621	C₂²⋊C₄	—	5	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1648	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1649	C₄²	—	2	1	no	—
1650	C₄²	—	2	1	no	—
1651	C₄²	—	2	1	no	—
1652	C₄²	—	2	1	no	—
1653	C₄²	—	2	1	no	—
1654	C₄²	—	2	1	no	—
1655	C₄²	—	10	1	no	—
1656	C₄²	C₂³×D₅	1	1	yes	characteristic
1657	C₄²	C₂³×D₅	1	1	yes	characteristic
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	8	1	no	—
1660	C₂×C₅	#3484	1	1	yes	characteristic
1661	C₂×C₅	C₂×#577	1	1	yes	characteristic
1662	C₂×C₅	C₂×#578	1	1	yes	characteristic
1663	D₅	—	2	2	no	—
1664	D₅	—	2	2	no	—
1665	D₅	—	4	1	no	—
1666	D₅	—	4	1	no	—
1667	D₅	—	8	1	no	—
1668	D₅	—	8	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	5	1	no	—
1671	C₂³	—	5	1	no	—
1672	C₂³	—	5	1	no	—
1673	C₂³	—	5	1	no	—
1674	C₂³	—	10	2	no	—
1675	C₂³	—	10	2	no	—
1676	C₂³	—	10	1	no	—
1677	C₂³	—	10	1	no	—
1678	C₂³	—	20	1	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	40	1	no	—
1681	C₂³	—	40	1	no	—
1682	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1683	Q₈	—	2	4	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	8	1	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	10	1	no	—
1691	Q₈	—	10	1	no	—
1692	Q₈	—	10	1	no	—
1693	Q₈	—	10	1	no	—
1694	Q₈	—	10	1	no	—
1695	Q₈	—	10	1	no	—
1696	Q₈	—	10	1	no	—
1697	Q₈	—	20	1	no	—
1698	Q₈	—	20	2	no	—
1699	Q₈	—	20	2	no	—
1700	Q₈	—	20	2	no	—
1701	Q₈	—	20	2	no	—
1702	Q₈	—	20	2	no	—
1703	Q₈	—	20	2	no	—
1704	Q₈	—	20	2	no	—
1705	Q₈	—	40	1	no	—
1706	Q₈	—	40	1	no	—
1707	Q₈	#4149	1	2	yes	—
1708	Q₈	#4149	1	2	yes	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	10	2	no	—
1713	D₄	—	10	2	no	—
1714	D₄	—	10	2	no	—
1715	D₄	—	10	2	no	—
1716	D₄	—	10	1	no	—
1717	D₄	—	10	1	no	—
1718	D₄	—	10	1	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	20	1	no	—
1721	D₄	—	20	2	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	20	2	no	—
1724	D₄	—	20	2	no	—
1725	D₄	—	20	2	no	—
1726	D₄	—	20	1	no	—
1727	D₄	—	20	1	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	40	1	no	—
1731	D₄	—	40	1	no	—
1732	D₄	—	40	1	no	—
1733	D₄	—	40	1	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	C₂×C₄	—	2	4	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	5	1	no	—
1747	C₂×C₄	—	5	1	no	—
1748	C₂×C₄	—	5	1	no	—
1749	C₂×C₄	—	5	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	10	1	no	—
1752	C₂×C₄	—	10	1	no	—
1753	C₂×C₄	—	10	1	no	—
1754	C₂×C₄	—	10	1	no	—
1755	C₂×C₄	—	10	1	no	—
1756	C₂×C₄	—	10	1	no	—
1757	C₂×C₄	—	10	1	no	—
1758	C₂×C₄	—	10	1	no	—
1759	C₂×C₄	—	10	1	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	20	1	no	—
1766	C₂×C₄	—	20	1	no	—
1767	C₂×C₄	—	20	2	no	—
1768	C₂×C₄	—	20	2	no	—
1769	C₂×C₄	—	20	2	no	—
1770	C₂×C₄	—	20	2	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	—	20	2	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	1	no	—
1778	C₂×C₄	—	20	2	no	—
1779	C₂×C₄	—	40	1	no	—
1780	C₂×C₄	—	40	1	no	—
1781	C₂×C₄	—	40	1	no	—
1782	C₂×C₄	—	40	1	no	—
1783	C₂×C₄	—	40	1	no	—
1784	C₂×C₄	—	40	1	no	—
1785	C₂×C₄	—	40	1	no	—
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	C₂×D₄×D₅	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₈	—	10	1	no	—
1800	C₅	#61632	1	1	yes	characteristic, complemented, Sylow
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	5	2	no	—
1808	C₂²	—	5	2	no	—
1809	C₂²	—	10	1	no	—
1810	C₂²	—	10	1	no	—
1811	C₂²	—	10	1	no	—
1812	C₂²	—	10	1	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	—	10	1	no	—
1819	C₂²	—	20	4	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	—	80	2	no	—
1827	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1828	C₄	—	2	2	no	—
1829	C₄	—	2	2	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	10	1	no	—
1841	C₄	—	10	1	no	—
1842	C₄	—	10	1	no	—
1843	C₄	—	10	1	no	—
1844	C₄	—	20	1	no	—
1845	C₄	—	20	1	no	—
1846	C₄	—	20	1	no	—
1847	C₄	—	20	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	C₂×#4149	1	1	yes	characteristic
1851	C₄	C₂×#4149	1	1	yes	characteristic
1852	C₂	—	4	1	no	—
1853	C₂	—	8	1	no	—
1854	C₂	—	10	2	no	—
1855	C₂	—	10	2	no	—
1856	C₂	—	20	1	no	—
1857	C₂	—	20	1	no	—
1858	C₂	—	40	1	no	—
1859	C₂	—	40	1	no	—
1860	C₂	#10617940	1	1	yes	characteristic
1861	C₂	D₅×#577	1	1	yes	characteristic
1862	C₂	D₅×#578	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×#3121	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3121	D₅
hypocenter	C₅	#61632
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3121

Complements

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

N	H ≅ G/N	type
1. #10618462	C₂	semidirect
2. #10617782	C₂	semidirect
3. C₅×#3121	C₂	semidirect
4. #10615195	C₂	semidirect
5. #10614283	C₂	semidirect
6. #10613281	C₂	semidirect
7. #10613253	C₂	semidirect
8. #10613136	C₂	semidirect
9. #10613109	C₂	semidirect
10. #10612852	C₂	semidirect
11. #10612850	C₂	semidirect
12. #10612755	C₂	semidirect
13. #10612753	C₂	semidirect
14. #10612362	C₂	semidirect
15. #10612361	C₂	semidirect
16. #10612358	C₂	semidirect
17. #10612345	C₂	semidirect
18. #10611917	C₂	semidirect
19. D₅×#451	C₂	semidirect
20. #10611773	C₂	semidirect
21. D₅×#448	C₂	semidirect
22. #10611574	C₂	semidirect
23. #10611570	C₂	semidirect
24. #10611529	C₂	semidirect
25. #10611526	C₂	semidirect
26. #10611466	C₂	semidirect
27. #10611463	C₂	semidirect
28. #10611409	C₂	semidirect
29. #10611405	C₂	semidirect
30. #10611124	C₂	semidirect
31. #10611108	C₂	semidirect
32. C₂×#4147	C₂²	semidirect
35. C₅×#519	C₂²	semidirect
36. C₂×#4065	C₂²	semidirect
37. C₂×#4064	C₂²	semidirect
38. C₂×D₅×Q₁₆	C₂²	semidirect
39. C₂×D₅×Q₁₆	C₂²	semidirect
40. C₂×#4062	C₂²	semidirect
41. C₂×#4061	C₂²	semidirect
66. #65910	C₂²	semidirect
67. #65910	C₂²	semidirect
72. Q₈×D₂₀	C₂²	semidirect
73. Q₈×D₂₀	C₂²	semidirect
79. #65860	C₂²	semidirect
80. #65860	C₂²	semidirect
85. C₅×#485	C₂²	semidirect
87. C₅×#477	C₂²	semidirect
88. C₅×#475	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#464	C₂²	semidirect
91. C₅×#451	C₂²	semidirect
93. C₅×#441	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₄×C₅×Q₁₆	C₂²	semidirect
96. C₄×C₅×SD₁₆	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
98. #65517	C₂²	semidirect
100. #65476	C₂²	semidirect
103. #65475	C₂²	semidirect
104. #65461	C₂²	semidirect
107. #65459	C₂²	semidirect
108. #65382	C₂²	semidirect
109. #65378	C₂²	semidirect
110. #65349	C₂²	semidirect
111. #65348	C₂²	semidirect
112. #65339	C₂²	semidirect
113. #65336	C₂²	semidirect
116. #65320	C₂²	semidirect
117. #65319	C₂²	semidirect
118. C₄×#689	C₂²	semidirect
119. #65317	C₂²	semidirect
120. #65317	C₂²	semidirect
121. #65317	C₂²	semidirect
122. #65315	C₂²	semidirect
123. C₄×#688	C₂²	semidirect
124. #65310	C₂²	semidirect
125. #65309	C₂²	semidirect
126. #65308	C₂²	semidirect
127. #65305	C₂²	semidirect
129. #65289	C₂²	semidirect
130. #65285	C₂²	semidirect
132. #65176	C₂²	semidirect
133. #65175	C₂²	semidirect
135. #65173	C₂²	semidirect
136. #65173	C₂²	semidirect
138. #65171	C₂²	semidirect
139. #65157	C₂²	semidirect
142. #65153	C₂²	semidirect
144. #65151	C₂²	semidirect
145. #65151	C₂²	semidirect
146. #65151	C₂²	semidirect
147. #65138	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65130	C₂²	semidirect
152. #65125	C₂²	semidirect
154. #65123	C₂²	semidirect
155. #65105	C₂²	semidirect
157. #65102	C₂²	semidirect
158. #65100	C₂²	semidirect
159. #65099	C₂²	semidirect
160. #65099	C₂²	semidirect
161. #65099	C₂²	semidirect
164. #65097	C₂²	semidirect
165. #65097	C₂²	semidirect
169. #65095	C₂²	semidirect
170. #65095	C₂²	semidirect
171. #65092	C₂²	semidirect
172. #65092	C₂²	semidirect
175. D₅×#103	C₂²	semidirect
176. D₅×#103	C₂²	semidirect
177. D₅×#103	C₂²	semidirect
178. D₅×#103	C₂²	semidirect
179. #65072	C₂²	semidirect
180. #65072	C₂²	semidirect
181. #65069	C₂²	semidirect
183. #65067	C₂²	semidirect
187. #65028	C₂²	semidirect
190. #65022	C₂²	semidirect
191. #65016	C₂²	semidirect
192. #65016	C₂²	semidirect
195. #65004	C₂²	semidirect
196. #65003	C₂²	semidirect
198. #64995	C₂²	semidirect
199. #64985	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. #64970	C₂²	semidirect
516. #3121	D₅	semidirect
822. #519	C₂×D₅	semidirect
832. #485	C₂×D₅	semidirect
844. #477	C₂×D₅	semidirect
846. #475	C₂×D₅	semidirect
867. #464	C₂×D₅	semidirect
868. #464	C₂×D₅	semidirect
893. #451	C₂×D₅	semidirect
912. #441	C₂×D₅	semidirect
914. #440	C₂×D₅	semidirect
916. C₄×Q₁₆	C₂×D₅	semidirect
918. C₄×SD₁₆	C₂×D₅	semidirect
928. #433	C₂×D₅	semidirect
1800. C₅	#61632	semidirect

Maximal subgroups

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

subgroup	index
#10618462	2
#10617782	2
C₅×#3121	2
#10615195	2
#10614283	2
#10613281	2
#10613253	2
#10613136	2
#10613109	2
#10612852	2
#10612850	2
#10612755	2
#10612753	2
#10612362	2
#10612361	2
#10612358	2
#10612345	2
#10611917	2
D₅×#451	2
#10611773	2
D₅×#448	2
#10611574	2
#10611570	2
#10611529	2
#10611526	2
#10611466	2
#10611463	2
#10611409	2
#10611405	2
#10611124	2
#10611108	2
#61632	5